lst_mat := [ #### 1 ## Label: 1A_0 ## Order: 1 ## Centralizer: 8315553613086720000 ## Cycles: [ [ 1, 196560 ] ] ## Trace: 24 ## Factors: [ [ 1, 24 ] ] [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] , #### 2 ## Label: 1A_1 ## Order: 2 ## Centralizer: 8315553613086720000 ## Cycles: [ [ 2, 98280 ] ] ## Trace: -24 ## Factors: [ [ 2, 24 ] ] [ [ -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1 ] ] , #### 3 ## Label: 2A_0 ## Order: 2 ## Centralizer: 178362777600 ## Cycles: [ [ 1, 4320 ], [ 2, 96120 ] ] ## Trace: 8 ## Factors: [ [ 1, 16 ], [ 2, 8 ] ] [ [ 1/2, 0, 1/2, 0, 0, 0, 0, 0, 0, -1/2, 0, 0, 0, 0, 0, 0, 0, 0, 1/2, 0, 0, 0, 0, 0 ], [ 0, 1/2, 0, 0, 0, 0, 0, -1/2, 0, 0, 0, 0, 0, -1/2, 0, 0, 0, 0, 0, 0, 0, 0, -1/2, 0 ], [ 1/2, 0, 1/2, 0, 0, 0, 0, 0, 0, 1/2, 0, 0, 0, 0, 0, 0, 0, 0, -1/2, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1/2, 1/2, 0, 0, 0, 0, 0, 0, 0, -1/2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1/2 ], [ 0, 0, 0, 1/2, 1/2, 0, 0, 0, 0, 0, 0, 0, 1/2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1/2 ], [ 0, 0, 0, 0, 0, -1/2, 1/2, 0, -1/2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1/2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1/2, -1/2, 0, -1/2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1/2, 0, 0, 0, 0 ], [ 0, -1/2, 0, 0, 0, 0, 0, 1/2, 0, 0, 0, 0, 0, -1/2, 0, 0, 0, 0, 0, 0, 0, 0, -1/2, 0 ], [ 0, 0, 0, 0, 0, -1/2, -1/2, 0, -1/2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1/2, 0, 0, 0, 0 ], [ -1/2, 0, 1/2, 0, 0, 0, 0, 0, 0, 1/2, 0, 0, 0, 0, 0, 0, 0, 0, 1/2, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1/2, 0, 0, 0, 1/2, -1/2, 1/2, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1/2, 0, 0, 0, 0, 0, -1/2, 0, 0, -1/2, -1/2, 0, 0 ], [ 0, 0, 0, -1/2, 1/2, 0, 0, 0, 0, 0, 0, 0, 1/2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1/2 ], [ 0, -1/2, 0, 0, 0, 0, 0, -1/2, 0, 0, 0, 0, 0, 1/2, 0, 0, 0, 0, 0, 0, 0, 0, -1/2, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1/2, 0, 0, 0, 1/2, 1/2, -1/2, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1/2, 0, 0, 0, 1/2, 1/2, 1/2, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1/2, 0, 0, 0, -1/2, 1/2, 1/2, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1/2, 0, 0, 0, 0, 0, 1/2, 0, 0, -1/2, -1/2, 0, 0 ], [ 1/2, 0, -1/2, 0, 0, 0, 0, 0, 0, 1/2, 0, 0, 0, 0, 0, 0, 0, 0, 1/2, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, -1/2, -1/2, 0, 1/2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1/2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1/2, 0, 0, 0, 0, 0, -1/2, 0, 0, 1/2, -1/2, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1/2, 0, 0, 0, 0, 0, -1/2, 0, 0, -1/2, 1/2, 0, 0 ], [ 0, -1/2, 0, 0, 0, 0, 0, -1/2, 0, 0, 0, 0, 0, -1/2, 0, 0, 0, 0, 0, 0, 0, 0, 1/2, 0 ], [ 0, 0, 0, 1/2, -1/2, 0, 0, 0, 0, 0, 0, 0, 1/2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1/2 ] ] , #### 4 ## Label: 2A_1 ## Order: 2 ## Centralizer: 178362777600 ## Cycles: [ [ 1, 240 ], [ 2, 98160 ] ] ## Trace: -8 ## Factors: [ [ 1, 8 ], [ 2, 16 ] ] [ [ -1/2, 0, -1/2, 0, 0, 0, 0, 0, 0, 1/2, 0, 0, 0, 0, 0, 0, 0, 0, -1/2, 0, 0, 0, 0, 0 ], [ 0, -1/2, 0, 0, 0, 0, 0, 1/2, 0, 0, 0, 0, 0, 1/2, 0, 0, 0, 0, 0, 0, 0, 0, 1/2, 0 ], [ -1/2, 0, -1/2, 0, 0, 0, 0, 0, 0, -1/2, 0, 0, 0, 0, 0, 0, 0, 0, 1/2, 0, 0, 0, 0, 0 ], [ 0, 0, 0, -1/2, -1/2, 0, 0, 0, 0, 0, 0, 0, 1/2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1/2 ], [ 0, 0, 0, -1/2, -1/2, 0, 0, 0, 0, 0, 0, 0, -1/2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1/2 ], [ 0, 0, 0, 0, 0, 1/2, -1/2, 0, 1/2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1/2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, -1/2, 1/2, 0, 1/2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1/2, 0, 0, 0, 0 ], [ 0, 1/2, 0, 0, 0, 0, 0, -1/2, 0, 0, 0, 0, 0, 1/2, 0, 0, 0, 0, 0, 0, 0, 0, 1/2, 0 ], [ 0, 0, 0, 0, 0, 1/2, 1/2, 0, 1/2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1/2, 0, 0, 0, 0 ], [ 1/2, 0, -1/2, 0, 0, 0, 0, 0, 0, -1/2, 0, 0, 0, 0, 0, 0, 0, 0, -1/2, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1/2, 0, 0, 0, -1/2, 1/2, -1/2, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1/2, 0, 0, 0, 0, 0, 1/2, 0, 0, 1/2, 1/2, 0, 0 ], [ 0, 0, 0, 1/2, -1/2, 0, 0, 0, 0, 0, 0, 0, -1/2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1/2 ], [ 0, 1/2, 0, 0, 0, 0, 0, 1/2, 0, 0, 0, 0, 0, -1/2, 0, 0, 0, 0, 0, 0, 0, 0, 1/2, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1/2, 0, 0, 0, -1/2, -1/2, 1/2, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1/2, 0, 0, 0, -1/2, -1/2, -1/2, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1/2, 0, 0, 0, 1/2, -1/2, -1/2, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1/2, 0, 0, 0, 0, 0, -1/2, 0, 0, 1/2, 1/2, 0, 0 ], [ -1/2, 0, 1/2, 0, 0, 0, 0, 0, 0, -1/2, 0, 0, 0, 0, 0, 0, 0, 0, -1/2, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1/2, 1/2, 0, -1/2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1/2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1/2, 0, 0, 0, 0, 0, 1/2, 0, 0, -1/2, 1/2, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1/2, 0, 0, 0, 0, 0, 1/2, 0, 0, 1/2, -1/2, 0, 0 ], [ 0, 1/2, 0, 0, 0, 0, 0, 1/2, 0, 0, 0, 0, 0, 1/2, 0, 0, 0, 0, 0, 0, 0, 0, -1/2, 0 ], [ 0, 0, 0, -1/2, 1/2, 0, 0, 0, 0, 0, 0, 0, -1/2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1/2 ] ] , #### 5 ## Label: 2B_0 ## Order: 4 ## Centralizer: 2012774400 ## Cycles: [ [ 4, 49140 ] ] ## Trace: 0 ## Factors: [ [ 4, 12 ] ] [ [ 0, 1/4, 0, 1/4, -1/4, 1/2, 0, -1/4, 1/4, 0, 1/4, 0, 0, 1/4, -1/4, 0, -1/4, 0, -1/4, 0, -1/4, 0, 0, -1/4 ], [ -1/4, 0, 1/4, -1/2, 0, 1/4, -1/4, 0, 0, -1/4, 0, -1/4, 1/4, 0, 0, -1/4, 0, -1/4, 0, -1/4, 0, 1/4, 1/4, 0 ], [ 0, -1/4, 0, 1/4, 1/4, 0, -1/2, -1/4, -1/4, 0, 1/4, 0, 0, 1/4, 1/4, 0, -1/4, 0, 1/4, 0, 1/4, 0, 0, -1/4 ], [ -1/4, 1/2, -1/4, 0, 0, -1/4, -1/4, 0, 0, 1/4, 0, -1/4, -1/4, 0, 0, -1/4, 0, -1/4, 0, 1/4, 0, 1/4, -1/4, 0 ], [ 1/4, 0, -1/4, 0, 0, 1/4, -1/4, 1/2, 0, 1/4, 0, -1/4, 1/4, 0, 0, 1/4, 0, -1/4, 0, 1/4, 0, -1/4, 1/4, 0 ], [ -1/2, -1/4, 0, 1/4, -1/4, 0, 0, 1/4, 1/4, 0, 1/4, 0, 0, -1/4, 1/4, 0, -1/4, 0, -1/4, 0, 1/4, 0, 0, 1/4 ], [ 0, 1/4, 1/2, 1/4, 1/4, 0, 0, 1/4, 1/4, 0, -1/4, 0, 0, 1/4, 1/4, 0, 1/4, 0, -1/4, 0, 1/4, 0, 0, -1/4 ], [ 1/4, 0, 1/4, 0, -1/2, -1/4, -1/4, 0, 0, 1/4, 0, 1/4, 1/4, 0, 0, -1/4, 0, 1/4, 0, 1/4, 0, 1/4, 1/4, 0 ], [ -1/4, 0, 1/4, 0, 0, -1/4, -1/4, 0, 0, -1/4, 0, 1/4, -1/4, 0, -1/2, 1/4, 0, -1/4, 0, 1/4, 0, -1/4, 1/4, 0 ], [ 0, 1/4, 0, -1/4, -1/4, 0, 0, -1/4, 1/4, 0, -1/4, 0, 0, -1/4, 1/4, 1/2, -1/4, 0, 1/4, 0, 1/4, 0, 0, -1/4 ], [ -1/4, 0, -1/4, 0, 0, -1/4, 1/4, 0, 0, 1/4, 0, 1/4, 1/4, 0, 0, -1/4, 0, -1/4, 0, -1/4, 0, -1/4, 1/4, -1/2 ], [ 0, 1/4, 0, 1/4, 1/4, 0, 0, -1/4, -1/4, 0, -1/4, 0, 0, -1/4, 1/4, 0, -1/4, 0, -1/4, 0, -1/4, 0, 1/2, 1/4 ], [ 0, -1/4, 0, 1/4, -1/4, 0, 0, -1/4, 1/4, 0, -1/4, 0, 0, 1/4, 1/4, 0, 1/4, -1/2, 1/4, 0, -1/4, 0, 0, 1/4 ], [ -1/4, 0, -1/4, 0, 0, 1/4, -1/4, 0, 0, 1/4, 0, 1/4, -1/4, 0, 0, 1/4, 1/2, 1/4, 0, -1/4, 0, 1/4, 1/4, 0 ], [ 1/4, 0, -1/4, 0, 0, -1/4, -1/4, 0, 1/2, -1/4, 0, -1/4, -1/4, 0, 0, -1/4, 0, 1/4, 0, -1/4, 0, -1/4, 1/4, 0 ], [ 0, 1/4, 0, 1/4, -1/4, 0, 0, 1/4, -1/4, -1/2, 1/4, 0, 0, -1/4, 1/4, 0, 1/4, 0, 1/4, 0, -1/4, 0, 0, -1/4 ], [ 1/4, 0, 1/4, 0, 0, 1/4, -1/4, 0, 0, 1/4, 0, 1/4, -1/4, -1/2, 0, -1/4, 0, -1/4, 0, -1/4, 0, -1/4, -1/4, 0 ], [ 0, 1/4, 0, 1/4, 1/4, 0, 0, -1/4, 1/4, 0, 1/4, 0, 1/2, -1/4, -1/4, 0, 1/4, 0, 1/4, 0, 1/4, 0, 0, 1/4 ], [ 1/4, 0, -1/4, 0, 0, 1/4, 1/4, 0, 0, -1/4, 0, 1/4, -1/4, 0, 0, -1/4, 0, -1/4, 0, 1/4, 1/2, 1/4, 1/4, 0 ], [ 0, 1/4, 0, -1/4, -1/4, 0, 0, -1/4, -1/4, 0, 1/4, 0, 0, 1/4, 1/4, 0, 1/4, 0, -1/4, 0, 1/4, -1/2, 0, 1/4 ], [ 1/4, 0, -1/4, 0, 0, -1/4, -1/4, 0, 0, -1/4, 0, 1/4, 1/4, 0, 0, 1/4, 0, -1/4, -1/2, -1/4, 0, 1/4, -1/4, 0 ], [ 0, -1/4, 0, -1/4, 1/4, 0, 0, -1/4, 1/4, 0, 1/4, 0, 0, -1/4, 1/4, 0, 1/4, 0, -1/4, 1/2, -1/4, 0, 0, -1/4 ], [ 0, -1/4, 0, 1/4, -1/4, 0, 0, -1/4, -1/4, 0, -1/4, -1/2, 0, -1/4, -1/4, 0, 1/4, 0, -1/4, 0, 1/4, 0, 0, -1/4 ], [ 1/4, 0, 1/4, 0, 0, -1/4, 1/4, 0, 0, 1/4, 1/2, -1/4, -1/4, 0, 0, 1/4, 0, -1/4, 0, -1/4, 0, 1/4, 1/4, 0 ] ] , #### 6 ## Label: 2C_0 ## Order: 2 ## Centralizer: 389283840 ## Cycles: [ [ 1, 264 ], [ 2, 98148 ] ] ## Trace: 0 ## Factors: [ [ 1, 12 ], [ 2, 12 ] ] [ [ -1/4, -1/4, 0, 0, 0, -1/4, 1/4, 0, 1/4, 0, 1/2, 1/4, 0, 0, -1/4, 1/4, 1/4, 1/4, 0, 0, -1/4, 0, 0, 1/4 ], [ -1/4, -1/4, 0, 1/2, 0, 1/4, 1/4, 0, -1/4, 0, 0, -1/4, 0, 0, -1/4, -1/4, 1/4, -1/4, 0, 0, -1/4, 0, 0, -1/4 ], [ 0, 0, 1/4, -1/4, 1/4, 1/2, 0, -1/4, 0, 1/4, 1/4, 0, -1/4, -1/4, 0, 0, 0, 0, -1/4, 1/4, 0, -1/4, -1/4, 0 ], [ 0, 1/2, -1/4, 1/4, 1/4, 0, 0, -1/4, 0, -1/4, 1/4, 0, 1/4, -1/4, 0, 0, 0, 0, -1/4, -1/4, 0, -1/4, 1/4, 0 ], [ 0, 0, 1/4, 1/4, -1/4, 0, 0, 1/4, 0, -1/4, 1/4, 0, 1/4, -1/4, 0, 0, -1/2, 0, -1/4, 1/4, 0, 1/4, -1/4, 0 ], [ -1/4, 1/4, 1/2, 0, 0, -1/4, 1/4, 0, -1/4, 0, 0, 1/4, 0, 0, 1/4, -1/4, 1/4, 1/4, 0, 0, 1/4, 0, 0, -1/4 ], [ 1/4, 1/4, 0, 0, 0, 1/4, -1/4, 0, -1/4, 0, 0, 1/4, 0, 0, -1/4, 1/4, 1/4, 1/4, 0, 0, -1/4, 1/2, 0, -1/4 ], [ 0, 0, -1/4, -1/4, 1/4, 0, 0, -1/4, 0, -1/4, 1/4, 0, 1/4, 1/4, 0, -1/2, 0, 0, 1/4, 1/4, 0, 1/4, -1/4, 0 ], [ 1/4, -1/4, 0, 0, 0, -1/4, -1/4, 0, 1/4, 0, 0, 1/4, 0, -1/2, 1/4, -1/4, 1/4, -1/4, 0, 0, -1/4, 0, 0, -1/4 ], [ 0, 0, 1/4, -1/4, -1/4, 0, 0, -1/4, 0, 1/4, 1/4, 0, 1/4, 1/4, 0, 0, 0, -1/2, -1/4, -1/4, 0, 1/4, 1/4, 0 ], [ 1/2, 0, 1/4, 1/4, 1/4, 0, 0, 1/4, 0, 1/4, 1/4, 0, 1/4, 1/4, 0, 0, 0, 0, 1/4, -1/4, 0, -1/4, -1/4, 0 ], [ 1/4, -1/4, 0, 0, 0, 1/4, 1/4, 0, 1/4, 0, 0, 1/4, 0, 0, -1/4, -1/4, -1/4, 1/4, 0, 0, 1/4, 0, 1/2, -1/4 ], [ 0, 0, -1/4, 1/4, 1/4, 0, 0, 1/4, 0, 1/4, 1/4, 0, -1/4, 1/4, 1/2, 0, 0, 0, -1/4, 1/4, 0, 1/4, 1/4, 0 ], [ 0, 0, -1/4, -1/4, -1/4, 0, 0, 1/4, -1/2, 1/4, 1/4, 0, 1/4, -1/4, 0, 0, 0, 0, 1/4, 1/4, 0, -1/4, 1/4, 0 ], [ -1/4, -1/4, 0, 0, 0, 1/4, -1/4, 0, 1/4, 0, 0, -1/4, 1/2, 0, 1/4, 1/4, 1/4, 1/4, 0, 0, 1/4, 0, 0, -1/4 ], [ 1/4, -1/4, 0, 0, 0, -1/4, 1/4, -1/2, -1/4, 0, 0, -1/4, 0, 0, 1/4, 1/4, -1/4, 1/4, 0, 0, -1/4, 0, 0, -1/4 ], [ 1/4, 1/4, 0, 0, -1/2, 1/4, 1/4, 0, 1/4, 0, 0, -1/4, 0, 0, 1/4, -1/4, 1/4, 1/4, 0, 0, -1/4, 0, 0, 1/4 ], [ 1/4, -1/4, 0, 0, 0, 1/4, 1/4, 0, -1/4, -1/2, 0, 1/4, 0, 0, 1/4, 1/4, 1/4, -1/4, 0, 0, 1/4, 0, 0, 1/4 ], [ 0, 0, -1/4, -1/4, -1/4, 0, 0, 1/4, 0, -1/4, 1/4, 0, -1/4, 1/4, 0, 0, 0, 0, -1/4, -1/4, 0, -1/4, -1/4, -1/2 ], [ 0, 0, 1/4, -1/4, 1/4, 0, 0, 1/4, 0, -1/4, -1/4, 0, 1/4, 1/4, 0, 0, 0, 0, -1/4, 1/4, -1/2, -1/4, 1/4, 0 ], [ -1/4, -1/4, 0, 0, 0, 1/4, -1/4, 0, -1/4, 0, 0, 1/4, 0, 0, 1/4, -1/4, -1/4, 1/4, 0, -1/2, -1/4, 0, 0, 1/4 ], [ 0, 0, -1/4, -1/4, 1/4, 0, 1/2, 1/4, 0, 1/4, -1/4, 0, 1/4, -1/4, 0, 0, 0, 0, -1/4, -1/4, 0, 1/4, -1/4, 0 ], [ 0, 0, -1/4, 1/4, -1/4, 0, 0, -1/4, 0, 1/4, -1/4, 1/2, 1/4, 1/4, 0, 0, 0, 0, -1/4, 1/4, 0, -1/4, -1/4, 0 ], [ 1/4, -1/4, 0, 0, 0, -1/4, -1/4, 0, -1/4, 0, 0, -1/4, 0, 0, -1/4, -1/4, 1/4, 1/4, -1/2, 0, 1/4, 0, 0, 1/4 ] ] , #### 7 ## Label: 3A_0 ## Order: 3 ## Centralizer: 2690072985600 ## Cycles: [ [ 3, 65520 ] ] ## Trace: -12 ## Factors: [ [ 3, 12 ] ] [ [ -1/2, 0, 0, 0, 0, 0, 0, -1/2, 0, 0, 0, 0, 0, 0, 0, -1/2, 0, 0, 0, 0, 0, 0, -1/2, 0 ], [ 0, -1/2, 0, 0, 0, -1/2, 0, 0, 0, 0, 0, 0, 1/2, 0, 0, 0, 0, 0, 0, 0, 0, 1/2, 0, 0 ], [ 0, 0, -1/2, 0, -1/2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1/2, 0, 0, 0, 0, 0, 0, 0, 0, 1/2 ], [ 0, 0, 0, -1/2, 0, 0, -1/2, 0, 0, 0, 0, 0, 0, -1/2, 0, 0, 0, 0, 0, 0, -1/2, 0, 0, 0 ], [ 0, 0, 1/2, 0, -1/2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1/2, 0, 0, 0, 0, 0, 0, 0, 0, -1/2 ], [ 0, 1/2, 0, 0, 0, -1/2, 0, 0, 0, 0, 0, 0, 1/2, 0, 0, 0, 0, 0, 0, 0, 0, -1/2, 0, 0 ], [ 0, 0, 0, 1/2, 0, 0, -1/2, 0, 0, 0, 0, 0, 0, -1/2, 0, 0, 0, 0, 0, 0, 1/2, 0, 0, 0 ], [ 1/2, 0, 0, 0, 0, 0, 0, -1/2, 0, 0, 0, 0, 0, 0, 0, -1/2, 0, 0, 0, 0, 0, 0, 1/2, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1/2, 0, 0, 0, 0, 0, 0, 0, 1/2, 0, 1/2, -1/2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -1/2, -1/2, -1/2, 0, 0, 0, 0, 0, -1/2, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1/2, -1/2, -1/2, 0, 0, 0, 0, 0, 1/2, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1/2, 1/2, -1/2, 0, 0, 0, 0, 0, -1/2, 0, 0, 0, 0, 0, 0 ], [ 0, -1/2, 0, 0, 0, -1/2, 0, 0, 0, 0, 0, 0, -1/2, 0, 0, 0, 0, 0, 0, 0, 0, -1/2, 0, 0 ], [ 0, 0, 0, 1/2, 0, 0, 1/2, 0, 0, 0, 0, 0, 0, -1/2, 0, 0, 0, 0, 0, 0, -1/2, 0, 0, 0 ], [ 0, 0, -1/2, 0, -1/2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1/2, 0, 0, 0, 0, 0, 0, 0, 0, -1/2 ], [ 1/2, 0, 0, 0, 0, 0, 0, 1/2, 0, 0, 0, 0, 0, 0, 0, -1/2, 0, 0, 0, 0, 0, 0, -1/2, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1/2, 0, 0, 0, 0, 0, 0, 0, -1/2, 0, 1/2, 1/2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1/2, -1/2, 1/2, 0, 0, 0, 0, 0, -1/2, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1/2, 0, 0, 0, 0, 0, 0, 0, -1/2, 0, -1/2, -1/2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1/2, 0, 0, 0, 0, 0, 0, 0, -1/2, 0, 1/2, -1/2, 0, 0, 0, 0 ], [ 0, 0, 0, 1/2, 0, 0, -1/2, 0, 0, 0, 0, 0, 0, 1/2, 0, 0, 0, 0, 0, 0, -1/2, 0, 0, 0 ], [ 0, -1/2, 0, 0, 0, 1/2, 0, 0, 0, 0, 0, 0, 1/2, 0, 0, 0, 0, 0, 0, 0, 0, -1/2, 0, 0 ], [ 1/2, 0, 0, 0, 0, 0, 0, -1/2, 0, 0, 0, 0, 0, 0, 0, 1/2, 0, 0, 0, 0, 0, 0, -1/2, 0 ], [ 0, 0, -1/2, 0, 1/2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1/2, 0, 0, 0, 0, 0, 0, 0, 0, -1/2 ] ] , #### 8 ## Label: 3A_1 ## Order: 6 ## Centralizer: 2690072985600 ## Cycles: [ [ 6, 32760 ] ] ## Trace: 12 ## Factors: [ [ 6, 12 ] ] [ [ 1/2, 0, 0, 0, 0, 0, 0, 1/2, 0, 0, 0, 0, 0, 0, 0, 1/2, 0, 0, 0, 0, 0, 0, 1/2, 0 ], [ 0, 1/2, 0, 0, 0, 1/2, 0, 0, 0, 0, 0, 0, -1/2, 0, 0, 0, 0, 0, 0, 0, 0, -1/2, 0, 0 ], [ 0, 0, 1/2, 0, 1/2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1/2, 0, 0, 0, 0, 0, 0, 0, 0, -1/2 ], [ 0, 0, 0, 1/2, 0, 0, 1/2, 0, 0, 0, 0, 0, 0, 1/2, 0, 0, 0, 0, 0, 0, 1/2, 0, 0, 0 ], [ 0, 0, -1/2, 0, 1/2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1/2, 0, 0, 0, 0, 0, 0, 0, 0, 1/2 ], [ 0, -1/2, 0, 0, 0, 1/2, 0, 0, 0, 0, 0, 0, -1/2, 0, 0, 0, 0, 0, 0, 0, 0, 1/2, 0, 0 ], [ 0, 0, 0, -1/2, 0, 0, 1/2, 0, 0, 0, 0, 0, 0, 1/2, 0, 0, 0, 0, 0, 0, -1/2, 0, 0, 0 ], [ -1/2, 0, 0, 0, 0, 0, 0, 1/2, 0, 0, 0, 0, 0, 0, 0, 1/2, 0, 0, 0, 0, 0, 0, -1/2, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1/2, 0, 0, 0, 0, 0, 0, 0, -1/2, 0, -1/2, 1/2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1/2, 1/2, 1/2, 0, 0, 0, 0, 0, 1/2, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -1/2, 1/2, 1/2, 0, 0, 0, 0, 0, -1/2, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -1/2, -1/2, 1/2, 0, 0, 0, 0, 0, 1/2, 0, 0, 0, 0, 0, 0 ], [ 0, 1/2, 0, 0, 0, 1/2, 0, 0, 0, 0, 0, 0, 1/2, 0, 0, 0, 0, 0, 0, 0, 0, 1/2, 0, 0 ], [ 0, 0, 0, -1/2, 0, 0, -1/2, 0, 0, 0, 0, 0, 0, 1/2, 0, 0, 0, 0, 0, 0, 1/2, 0, 0, 0 ], [ 0, 0, 1/2, 0, 1/2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1/2, 0, 0, 0, 0, 0, 0, 0, 0, 1/2 ], [ -1/2, 0, 0, 0, 0, 0, 0, -1/2, 0, 0, 0, 0, 0, 0, 0, 1/2, 0, 0, 0, 0, 0, 0, 1/2, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1/2, 0, 0, 0, 0, 0, 0, 0, 1/2, 0, -1/2, -1/2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -1/2, 1/2, -1/2, 0, 0, 0, 0, 0, 1/2, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1/2, 0, 0, 0, 0, 0, 0, 0, 1/2, 0, 1/2, 1/2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -1/2, 0, 0, 0, 0, 0, 0, 0, 1/2, 0, -1/2, 1/2, 0, 0, 0, 0 ], [ 0, 0, 0, -1/2, 0, 0, 1/2, 0, 0, 0, 0, 0, 0, -1/2, 0, 0, 0, 0, 0, 0, 1/2, 0, 0, 0 ], [ 0, 1/2, 0, 0, 0, -1/2, 0, 0, 0, 0, 0, 0, -1/2, 0, 0, 0, 0, 0, 0, 0, 0, 1/2, 0, 0 ], [ -1/2, 0, 0, 0, 0, 0, 0, 1/2, 0, 0, 0, 0, 0, 0, 0, -1/2, 0, 0, 0, 0, 0, 0, 1/2, 0 ], [ 0, 0, 1/2, 0, -1/2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1/2, 0, 0, 0, 0, 0, 0, 0, 0, 1/2 ] ] , #### 9 ## Label: 3B_0 ## Order: 3 ## Centralizer: 117573120 ## Cycles: [ [ 1, 756 ], [ 3, 65268 ] ] ## Trace: 6 ## Factors: [ [ 1, 12 ], [ 3, 6 ] ] [ [ 1/8, -1/8, 1/8, -1/8, 1/8, 1/8, -1/8, 3/8, -3/8, 3/8, -1/8, 1/8, -1/8, -1/8, -1/8, 3/8, 1/8, 1/8, 1/8, 1/8, -1/8, 1/8, 1/8, 3/8 ], [ -1/8, 1/8, -1/8, 1/8, -1/8, 3/8, 1/8, 1/8, -1/8, 1/8, 1/8, -1/8, -3/8, 1/8, 1/8, 1/8, -1/8, 3/8, -1/8, 3/8, 1/8, -1/8, -1/8, -3/8 ], [ 1/8, -1/8, 5/8, -1/8, 1/8, 1/8, -1/8, -1/8, 1/8, -1/8, -1/8, -3/8, -1/8, -1/8, -1/8, -1/8, 1/8, 1/8, -3/8, 1/8, -1/8, 1/8, 1/8, -1/8 ], [ 1/8, -1/8, 1/8, -1/8, 1/8, -3/8, 3/8, 3/8, 1/8, -1/8, -1/8, 1/8, -1/8, 3/8, -1/8, -1/8, 1/8, 1/8, 1/8, 1/8, 3/8, 1/8, 1/8, 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-1/8, 1/8, 1/8, 5/8, 1/8, -1/8, 1/8, 1/8, -1/8 ], [ -1/8, 1/8, -1/8, 1/8, -1/8, -1/8, -3/8, 1/8, -1/8, 1/8, 1/8, -1/8, 1/8, 1/8, 1/8, -3/8, 3/8, -1/8, -1/8, 3/8, 1/8, 3/8, -1/8, 1/8 ], [ -1/8, 1/8, -1/8, -3/8, -1/8, -1/8, 1/8, 1/8, -1/8, -3/8, 1/8, -1/8, 1/8, -3/8, -3/8, 1/8, -1/8, -1/8, -1/8, 3/8, 1/8, -1/8, -1/8, 1/8 ], [ 1/8, 3/8, 1/8, -1/8, -3/8, -3/8, -1/8, -1/8, 1/8, 3/8, -1/8, 1/8, -1/8, -1/8, -1/8, -1/8, -3/8, 1/8, 1/8, 1/8, -1/8, 1/8, 1/8, -1/8 ], [ -3/8, -1/8, 1/8, -1/8, -3/8, 1/8, -1/8, 3/8, 1/8, -1/8, 3/8, 1/8, -1/8, -1/8, -1/8, -1/8, 1/8, 1/8, 1/8, -3/8, -1/8, 1/8, 1/8, -1/8 ], [ 1/8, -1/8, 1/8, -1/8, -3/8, 1/8, -1/8, -1/8, 1/8, -1/8, -1/8, 1/8, -1/8, 3/8, -1/8, -1/8, 1/8, 1/8, 1/8, 1/8, -1/8, -3/8, -3/8, 3/8 ] ] , #### 10 ## Label: 3B_1 ## Order: 6 ## Centralizer: 117573120 ## Cycles: [ [ 2, 378 ], [ 6, 32634 ] ] ## Trace: -6 ## Factors: [ [ 2, 12 ], [ 6, 6 ] ] [ [ -1/8, 1/8, -1/8, 1/8, -1/8, -1/8, 1/8, -3/8, 3/8, -3/8, 1/8, -1/8, 1/8, 1/8, 1/8, -3/8, -1/8, -1/8, -1/8, -1/8, 1/8, -1/8, -1/8, -3/8 ], [ 1/8, -1/8, 1/8, -1/8, 1/8, -3/8, -1/8, -1/8, 1/8, -1/8, -1/8, 1/8, 3/8, -1/8, -1/8, -1/8, 1/8, -3/8, 1/8, -3/8, -1/8, 1/8, 1/8, 3/8 ], [ -1/8, 1/8, -5/8, 1/8, -1/8, -1/8, 1/8, 1/8, -1/8, 1/8, 1/8, 3/8, 1/8, 1/8, 1/8, 1/8, -1/8, -1/8, 3/8, -1/8, 1/8, -1/8, -1/8, 1/8 ], [ -1/8, 1/8, -1/8, 1/8, -1/8, 3/8, -3/8, -3/8, -1/8, 1/8, 1/8, -1/8, 1/8, -3/8, 1/8, 1/8, -1/8, -1/8, -1/8, -1/8, -3/8, -1/8, -1/8, 1/8 ], [ 1/8, -1/8, 1/8, -1/8, -3/8, 1/8, -1/8, -1/8, 1/8, -1/8, -1/8, 1/8, 3/8, -1/8, 3/8, 3/8, 1/8, 1/8, 1/8, 1/8, 3/8, 1/8, 1/8, -1/8 ], [ 1/8, 3/8, 1/8, 3/8, 1/8, 1/8, -1/8, 3/8, 1/8, -1/8, -1/8, 1/8, 3/8, -1/8, -1/8, -1/8, 1/8, 1/8, 1/8, 1/8, -1/8, -3/8, 1/8, -1/8 ], [ 1/8, -1/8, 1/8, 3/8, 1/8, 1/8, -1/8, -1/8, 1/8, -1/8, 3/8, 1/8, -1/8, -1/8, -1/8, -1/8, -3/8, 1/8, 1/8, 1/8, 3/8, 1/8, 1/8, 3/8 ], [ 3/8, 1/8, -1/8, -3/8, -1/8, 3/8, 1/8, 1/8, -1/8, 1/8, 1/8, -1/8, 1/8, 1/8, 1/8, -3/8, -1/8, -1/8, -1/8, -1/8, 1/8, -1/8, 3/8, 1/8 ], [ 1/8, 3/8, 1/8, -1/8, 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1/8, -1/8, -1/8, 1/8 ], [ -1/8, 1/8, -1/8, 1/8, 3/8, -1/8, 1/8, 1/8, -1/8, 1/8, 1/8, -1/8, 1/8, -3/8, 1/8, 1/8, -1/8, -1/8, -1/8, -1/8, 1/8, 3/8, 3/8, -3/8 ] ] , #### 11 ## Label: 3C_0 ## Order: 3 ## Centralizer: 25194240 ## Cycles: [ [ 1, 54 ], [ 3, 65502 ] ] ## Trace: -3 ## Factors: [ [ 1, 6 ], [ 3, 9 ] ] [ [ 1/8, -1/8, 3/8, -3/8, -1/8, 1/8, 3/8, -3/8, -1/8, -1/8, -1/8, -1/8, 1/8, 1/8, -1/8, -1/8, -1/8, 3/8, 1/8, 1/8, -1/8, -1/8, -1/8, -1/8 ], [ 3/8, -3/8, 1/8, -1/8, -3/8, 3/8, 1/8, -1/8, 1/8, 1/8, 1/8, 1/8, -1/8, -1/8, 1/8, 1/8, 1/8, -3/8, -1/8, -1/8, 1/8, 1/8, 1/8, 1/8 ], [ 1/8, -1/8, -1/8, 1/8, -1/8, 1/8, -1/8, 1/8, -1/8, -1/8, -1/8, -1/8, 1/8, 1/8, -1/8, -1/8, -1/8, 3/8, -3/8, -3/8, -1/8, -1/8, 3/8, 3/8 ], [ -1/8, 1/8, 1/8, -1/8, 1/8, -1/8, 1/8, -1/8, 1/8, 1/8, 1/8, 1/8, -1/8, -1/8, 1/8, 1/8, 5/8, 1/8, -1/8, -1/8, -3/8, -3/8, 1/8, 1/8 ], [ -1/8, 1/8, 1/8, -1/8, -3/8, -1/8, -3/8, -1/8, 1/8, 1/8, 1/8, 1/8, 3/8, -1/8, -3/8, 1/8, 1/8, 1/8, -1/8, 3/8, 1/8, 1/8, 1/8, 1/8 ], [ 1/8, 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-1/8, -1/8, -1/8, -1/8, 1/8, -3/8, -1/8, -1/8, -1/8, -1/8 ], [ 1/8, -1/8, -1/8, 1/8, -1/8, 1/8, -1/8, 1/8, -1/8, -1/8, -1/8, -1/8, 1/8, 1/8, -1/8, -1/8, 3/8, -1/8, 1/8, 1/8, 3/8, -5/8, -1/8, -1/8 ], [ 1/8, -1/8, -1/8, 1/8, -1/8, 1/8, -1/8, 1/8, -1/8, -1/8, -1/8, -1/8, 1/8, 1/8, -1/8, -1/8, 3/8, -1/8, 1/8, 1/8, -5/8, 3/8, -1/8, -1/8 ], [ 1/8, -1/8, -1/8, 1/8, -1/8, 1/8, -1/8, 1/8, 3/8, 3/8, -1/8, -1/8, -3/8, -3/8, -1/8, -1/8, -1/8, 3/8, 1/8, 1/8, -1/8, -1/8, -1/8, -1/8 ], [ 1/8, -1/8, -1/8, 1/8, -1/8, 1/8, -1/8, 1/8, -1/8, -1/8, 3/8, 3/8, 1/8, 1/8, 3/8, 3/8, -1/8, 3/8, 1/8, 1/8, -1/8, -1/8, -1/8, -1/8 ] ] , #### 12 ## Label: 3C_1 ## Order: 6 ## Centralizer: 25194240 ## Cycles: [ [ 2, 27 ], [ 6, 32751 ] ] ## Trace: 3 ## Factors: [ [ 2, 6 ], [ 6, 9 ] ] [ [ -1/8, 1/8, -3/8, 3/8, 1/8, -1/8, -3/8, 3/8, 1/8, 1/8, 1/8, 1/8, -1/8, -1/8, 1/8, 1/8, 1/8, -3/8, -1/8, -1/8, 1/8, 1/8, 1/8, 1/8 ], [ -3/8, 3/8, -1/8, 1/8, 3/8, -3/8, -1/8, 1/8, -1/8, -1/8, -1/8, -1/8, 1/8, 1/8, -1/8, -1/8, -1/8, 3/8, 1/8, 1/8, -1/8, -1/8, -1/8, -1/8 ], [ -1/8, 1/8, 1/8, -1/8, 1/8, -1/8, 1/8, -1/8, 1/8, 1/8, 1/8, 1/8, -1/8, -1/8, 1/8, 1/8, 1/8, -3/8, 3/8, 3/8, 1/8, 1/8, -3/8, -3/8 ], [ 1/8, -1/8, -1/8, 1/8, -1/8, 1/8, -1/8, 1/8, -1/8, -1/8, -1/8, -1/8, 1/8, 1/8, -1/8, -1/8, -5/8, -1/8, 1/8, 1/8, 3/8, 3/8, -1/8, -1/8 ], [ 1/8, -1/8, -1/8, 1/8, 3/8, 1/8, 3/8, 1/8, -1/8, -1/8, -1/8, -1/8, -3/8, 1/8, 3/8, -1/8, -1/8, -1/8, 1/8, -3/8, -1/8, -1/8, -1/8, -1/8 ], [ -1/8, 1/8, 1/8, -1/8, 1/8, 3/8, 1/8, 3/8, 1/8, 1/8, 1/8, 1/8, -1/8, 3/8, 1/8, -3/8, 1/8, 1/8, -1/8, 3/8, 1/8, 1/8, 1/8, 1/8 ], [ 1/8, -1/8, -1/8, 1/8, -1/8, -3/8, 3/8, 1/8, -1/8, 3/8, 3/8, -1/8, 1/8, 1/8, -1/8, -1/8, -1/8, -1/8, -3/8, 1/8, -1/8, -1/8, -1/8, -1/8 ], [ -1/8, 1/8, 1/8, -1/8, -3/8, -1/8, 1/8, 3/8, -3/8, 1/8, 1/8, -3/8, -1/8, -1/8, 1/8, 1/8, 1/8, 1/8, 3/8, -1/8, 1/8, 1/8, 1/8, 1/8 ], [ 1/8, 3/8, -1/8, 1/8, -1/8, 1/8, 3/8, 1/8, 3/8, -1/8, -1/8, -1/8, 1/8, 1/8, -1/8, 3/8, -1/8, -1/8, 1/8, 1/8, -1/8, -1/8, 3/8, -1/8 ], [ 3/8, 1/8, 1/8, 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] , #### 13 ## Label: 3D_0 ## Order: 3 ## Centralizer: 1088640 ## Cycles: [ [ 3, 65520 ] ] ## Trace: 0 ## Factors: [ [ 1, 8 ], [ 3, 8 ] ] [ [ -1/4, -1/4, 0, 0, -1/4, 0, 1/4, 0, -1/4, 0, 0, 1/4, 0, 1/2, 0, 0, 0, 1/4, 1/4, 0, 1/4, -1/4, -1/4, -1/4 ], [ 0, 0, 1/4, -1/4, 0, 1/4, 0, 1/4, 0, -1/4, -1/4, 0, -1/4, -1/4, -1/4, -1/4, -1/4, 1/2, 0, -1/4, 0, 0, 0, 0 ], [ 0, 0, -1/4, -1/4, 0, -1/4, 0, 1/4, 0, 1/4, -1/4, 0, -1/4, -1/4, 1/4, -1/4, 1/4, 0, 0, 1/4, 0, -1/2, 0, 0 ], [ 1/4, -1/4, 0, 0, -1/4, 0, -1/4, 0, -1/4, 0, 0, -1/4, 0, 0, 0, 0, 1/2, 1/4, 1/4, 0, -1/4, 1/4, -1/4, 1/4 ], [ 0, 0, -1/4, -1/4, 0, 1/4, 0, -1/4, 0, 1/4, -1/4, 0, -1/4, 1/4, 1/4, 1/4, -1/4, 0, 0, -1/4, -1/2, 0, 0, 0 ], [ 0, 0, 1/4, -1/4, 0, -1/4, 0, -1/4, -1/2, 1/4, -1/4, 0, 1/4, -1/4, -1/4, 1/4, -1/4, 0, 0, 1/4, 0, 0, 0, 0 ], [ 1/4, -1/4, 0, 0, 1/4, 0, 1/4, 0, -1/4, -1/2, 0, 1/4, 0, 0, 0, 0, 0, -1/4, 1/4, 0, -1/4, -1/4, 1/4, 1/4 ], [ -1/4, -1/4, 0, 0, 1/4, 0, -1/4, 0, 1/4, 0, 0, -1/4, 1/2, 0, 0, 0, 0, 1/4, 1/4, 0, -1/4, -1/4, 1/4, -1/4 ], [ 0, 0, 1/4, -1/4, 0, 1/4, 0, 1/4, 0, -1/4, -1/4, 0, 1/4, 1/4, 1/4, 1/4, 1/4, 0, -1/2, 1/4, 0, 0, 0, 0 ], [ 0, 0, -1/4, 1/4, 0, 1/4, 0, 1/4, 0, 1/4, -1/4, 1/2, 1/4, -1/4, -1/4, 1/4, 1/4, 0, 0, -1/4, 0, 0, 0, 0 ], [ 1/4, 1/4, 0, 1/2, 1/4, 0, 1/4, 0, -1/4, 0, 0, -1/4, 0, 0, 0, 0, 0, 1/4, -1/4, 0, -1/4, -1/4, -1/4, -1/4 ], [ -1/4, 1/4, 0, 0, 1/4, 1/2, -1/4, 0, -1/4, 0, 0, -1/4, 0, 0, 0, 0, 0, -1/4, 1/4, 0, 1/4, -1/4, -1/4, 1/4 ], [ 0, 0, 1/4, 1/4, 0, -1/4, 0, 1/4, 0, 1/4, -1/4, 0, 1/4, 1/4, 1/4, -1/4, -1/4, 0, 0, -1/4, 0, 0, 0, 1/2 ], [ -1/4, -1/4, 0, 0, -1/4, 0, 1/4, 0, 1/4, 0, 0, -1/4, 0, 0, -1/2, 0, 0, -1/4, -1/4, 0, -1/4, -1/4, -1/4, 1/4 ], [ -1/4, 1/4, 0, 0, -1/4, 0, 1/4, 1/2, -1/4, 0, 0, -1/4, 0, 0, 0, 0, 0, -1/4, 1/4, 0, -1/4, 1/4, 1/4, -1/4 ], [ 0, 0, 1/4, -1/4, 1/2, -1/4, 0, 1/4, 0, 1/4, 1/4, 0, -1/4, 1/4, -1/4, 1/4, 1/4, 0, 0, -1/4, 0, 0, 0, 0 ], [ 1/4, -1/4, 0, 0, -1/4, 0, -1/4, 0, -1/4, 0, 0, -1/4, 0, 0, 0, 0, 0, -1/4, -1/4, -1/2, 1/4, -1/4, 1/4, -1/4 ], [ 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1/4, 0, -1/4, -1/4, 1/4, 1/4, -1/4, 0, 0, 1/4, 0, 0, 0, 0 ], [ 0, 0, -1/4, -1/4, 0, -1/4, 0, 1/4, 0, -1/4, 1/4, 0, 1/4, -1/4, 1/4, 1/4, -1/4, 0, 0, -1/4, 0, 0, -1/2, 0 ], [ 1/4, 1/4, 0, 0, -1/4, 0, 1/4, 0, 1/4, 0, 0, -1/4, 0, 0, 0, 1/2, 0, 1/4, 1/4, 0, 1/4, -1/4, 1/4, 1/4 ], [ -1/4, -1/4, -1/2, 0, 1/4, 0, 1/4, 0, -1/4, 0, 0, -1/4, 0, 0, 0, 0, 0, 1/4, -1/4, 0, 1/4, 1/4, 1/4, 1/4 ], [ -1/2, 0, 1/4, 1/4, 0, -1/4, 0, -1/4, 0, -1/4, -1/4, 0, -1/4, -1/4, 1/4, 1/4, 1/4, 0, 0, -1/4, 0, 0, 0, 0 ] ] , #### 15 ## Label: 4A_0 ## Order: 4 ## Centralizer: 743178240 ## Cycles: [ [ 1, 240 ], [ 4, 49080 ] ] ## Trace: 8 ## Factors: [ [ 1, 8 ], [ 4, 8 ] ] [ [ 1/8, -1/8, -1/8, 1/8, -1/8, -1/8, 1/8, 1/8, 1/8, 1/8, -1/8, -1/8, 1/8, -1/8, -1/8, 1/8, -3/8, 1/8, 3/8, 3/8, -1/8, -3/8, 1/8, 3/8 ], [ 1/8, 3/8, -1/8, 1/8, -1/8, 3/8, 1/8, 1/8, -3/8, 1/8, -1/8, -1/8, -3/8, -1/8, -1/8, 1/8, 1/8, 1/8, -1/8, -1/8, -1/8, 1/8, 1/8, 3/8 ], [ -1/8, 1/8, 1/8, -1/8, 1/8, 1/8, -1/8, -1/8, -1/8, 3/8, 1/8, -3/8, 3/8, 1/8, -3/8, 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-1/8, -1/8, 1/8, -1/8, -1/8, 1/8, 1/8, 5/8, -1/8, -1/8, 3/8, 1/8, -3/8, -1/8 ], [ -3/8, 3/8, -1/8, 1/8, -1/8, -1/8, 1/8, 1/8, 1/8, 1/8, -1/8, -1/8, 1/8, -1/8, 3/8, -3/8, 1/8, 1/8, 3/8, -1/8, -1/8, 1/8, 1/8, -1/8 ], [ -1/8, 1/8, 1/8, -1/8, 1/8, 1/8, -1/8, -1/8, -1/8, -1/8, 1/8, 1/8, -1/8, 1/8, 1/8, -1/8, -1/8, 3/8, 1/8, 1/8, -3/8, -1/8, -5/8, 1/8 ], [ -1/8, 1/8, 1/8, -1/8, 1/8, 1/8, -1/8, -1/8, -1/8, -1/8, 1/8, 1/8, -1/8, 1/8, 1/8, -1/8, -1/8, 3/8, 1/8, 1/8, 5/8, -1/8, 3/8, 1/8 ], [ 3/8, 1/8, 1/8, -1/8, 1/8, 1/8, 3/8, -1/8, -1/8, -1/8, -3/8, 1/8, 3/8, 1/8, 1/8, -1/8, -1/8, -1/8, 1/8, 1/8, 1/8, 3/8, -1/8, 1/8 ], [ -3/8, -1/8, 3/8, 1/8, -1/8, 3/8, 1/8, -3/8, 1/8, 1/8, -1/8, -1/8, 1/8, -1/8, -1/8, 1/8, 1/8, 1/8, -1/8, 3/8, -1/8, 1/8, 1/8, -1/8 ], [ -3/8, -1/8, -1/8, 1/8, 3/8, -1/8, 1/8, 1/8, 1/8, -3/8, -1/8, -1/8, 1/8, 3/8, -1/8, 1/8, 1/8, 1/8, -1/8, -1/8, -1/8, 1/8, 1/8, 3/8 ] ] , #### 16 ## Label: 4A_1 ## Order: 4 ## Centralizer: 743178240 ## Cycles: [ [ 2, 120 ], [ 4, 49080 ] ] ## 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-1/8, -1/8, 1/8, 1/8, 1/8, -1/8, -1/8, -1/8, -3/8, 1/8, -1/8 ], [ 3/8, 1/8, -3/8, -1/8, 1/8, -3/8, -1/8, 3/8, -1/8, -1/8, 1/8, 1/8, -1/8, 1/8, 1/8, -1/8, -1/8, -1/8, 1/8, -3/8, 1/8, -1/8, -1/8, 1/8 ], [ 3/8, 1/8, 1/8, -1/8, -3/8, 1/8, -1/8, -1/8, -1/8, 3/8, 1/8, 1/8, -1/8, -3/8, 1/8, -1/8, -1/8, -1/8, 1/8, 1/8, 1/8, -1/8, -1/8, -3/8 ] ] , #### 17 ## Label: 4B_0 ## Order: 4 ## Centralizer: 1179648 ## Cycles: [ [ 1, 24 ], [ 2, 108 ], [ 4, 49080 ] ] ## Trace: 0 ## Factors: [ [ 1, 4 ], [ 2, 4 ], [ 4, 8 ] ] [ [ 0, 1/4, 1/4, 0, 1/4, -1/4, 0, 0, 0, 0, -1/2, 0, 0, -1/4, 0, 1/4, -1/4, -1/4, 1/4, 1/4, 0, -1/4, 0, 1/4 ], [ 1/4, 0, 0, -1/4, 0, 0, -1/4, -1/4, -1/4, 1/4, -1/4, 1/4, -1/4, 0, -1/4, 0, 0, 0, 0, -1/2, 1/4, 0, 1/4, 0 ], [ -1/4, 0, 0, -1/4, 0, -1/2, -1/4, -1/4, 1/4, 1/4, 1/4, -1/4, 1/4, 0, -1/4, 0, 0, 0, 0, 0, 1/4, 0, -1/4, 0 ], [ -1/4, 0, 0, 1/4, 0, 0, 1/4, 1/4, 1/4, 1/4, 1/4, 1/4, -1/4, 0, -1/4, 0, 0, -1/2, 0, 0, 1/4, 0, 1/4, 0 ], [ 1/4, 1/2, 0, -1/4, 0, 0, 1/4, -1/4, 1/4, -1/4, 1/4, 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4 ] ] [ [ 0, 0, 0, -1/4, -1/4, 1/4, -1/4, 0, 0, 0, 0, 1/4, 0, 0, 0, 1/4, 1/4, 0, 0, 0, -1/4, 1/2, 0, 1/2 ], [ 0, 0, 0, 1/4, 1/4, -1/4, 1/4, 0, 0, 0, 0, -1/4, 0, 0, 0, -1/4, -1/4, 0, 0, 0, 1/4, 1/2, 0, 1/2 ], [ 0, 0, -1/2, 1/4, -1/4, -1/4, 1/4, 0, 0, -1/2, 0, -1/4, 0, 0, 0, 1/4, 1/4, 0, 0, 0, -1/4, 0, 0, 0 ], [ 0, 1/2, 0, -1/4, -1/4, -1/4, -1/4, 0, 0, 0, 0, -1/4, 0, 0, 0, -1/4, 1/4, 0, -1/2, 0, 1/4, 0, 0, 0 ], [ -1/2, 0, 0, -1/4, -1/4, 1/4, 1/4, 0, 0, 0, 0, -1/4, 0, -1/2, 0, 1/4, -1/4, 0, 0, 0, 1/4, 0, 0, 0 ], [ -1/4, 1/4, 1/4, 0, 0, 0, 0, 1/4, -1/4, -1/4, 1/4, 0, 1/4, 1/4, 1/4, 0, 0, 1/4, 1/4, 1/4, 0, 1/4, 1/4, -1/4 ], [ 1/4, -1/4, -1/4, 0, 0, 0, 0, -1/4, -1/4, 1/4, 1/4, 0, 1/4, -1/4, 1/4, 0, 0, 1/4, -1/4, 1/4, 0, 1/4, -1/4, -1/4 ], [ 0, 0, 0, -1/4, 1/4, -1/4, 1/4, -1/2, 0, 0, 0, 1/4, 0, 0, 0, 1/4, 1/4, 0, 0, 0, 1/4, 0, 1/2, 0 ], [ 0, 0, 0, 1/4, -1/4, 1/4, 1/4, 0, 0, 0, -1/2, 1/4, 0, 0, 0, -1/4, 1/4, 0, 0, 1/2, 1/4, 0, 0, 0 ], [ 0, 0, -1/2, -1/4, 1/4, 1/4, -1/4, 0, 0, -1/2, 0, 1/4, 0, 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0, -1/4, 0, 0, 0 ], [ 0, 0, 0, 1/4, -1/4, -1/4, -1/4, 0, -1/2, 0, 0, 1/4, 0, 0, -1/2, 1/4, -1/4, 0, 0, 0, 1/4, 0, 0, 0 ], [ -1/2, 0, 0, 1/4, 1/4, -1/4, -1/4, 0, 0, 0, 0, 1/4, 0, -1/2, 0, -1/4, 1/4, 0, 0, 0, -1/4, 0, 0, 0 ], [ 1/4, 1/4, 1/4, 0, 0, 0, 0, -1/4, -1/4, -1/4, -1/4, 0, 1/4, -1/4, 1/4, 0, 0, 1/4, 1/4, -1/4, 0, -1/4, -1/4, 1/4 ], [ 0, 0, 0, -1/4, 1/4, -1/4, 1/4, 1/2, 0, 0, 0, 1/4, 0, 0, 0, 1/4, 1/4, 0, 0, 0, 1/4, 0, -1/2, 0 ], [ 1/4, 1/4, 1/4, 0, 0, 0, 0, -1/4, 1/4, -1/4, 1/4, 0, -1/4, -1/4, -1/4, 0, 0, -1/4, 1/4, 1/4, 0, 1/4, -1/4, -1/4 ] ] , #### 20 ## Label: 4D_0 ## Order: 4 ## Centralizer: 294912 ## Cycles: [ [ 1, 48 ], [ 2, 2136 ], [ 4, 48060 ] ] ## Trace: 0 ## Factors: [ [ 1, 8 ], [ 2, 8 ], [ 4, 4 ] ] [ [ 3/8, 1/8, 1/8, 1/8, -1/8, 1/8, 1/8, 1/8, 1/8, -1/8, -1/8, 3/8, -1/8, 1/8, 1/8, 1/8, 1/8, 3/8, -1/8, -1/8, 1/8, -1/8, 3/8, 3/8 ], [ 1/8, -1/8, -1/8, -1/8, 1/8, 3/8, -1/8, -1/8, -1/8, 1/8, 1/8, 1/8, 1/8, -1/8, 3/8, -1/8, -1/8, 1/8, 1/8, 1/8, -1/8, 5/8, 1/8, 1/8 ], [ 1/8, 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Label: 4E_0 ## Order: 8 ## Centralizer: 48384 ## Cycles: [ [ 8, 24570 ] ] ## Trace: 0 ## Factors: [ [ 8, 6 ] ] [ [ 1/4, 1/2, 0, 1/4, -1/4, 0, 1/4, 0, -1/4, 0, 0, -1/4, -1/4, 0, -1/4, 0, 0, 1/4, 0, 1/4, 0, -1/4, -1/4, 0 ], [ -1/2, 1/4, 1/4, 0, 0, 1/4, 0, -1/4, 0, -1/4, -1/4, 0, 0, 1/4, 0, 1/4, -1/4, 0, -1/4, 0, -1/4, 0, 0, -1/4 ], [ -1/4, 0, 0, -1/4, -1/4, 0, -1/4, 0, 1/4, 0, 0, -1/4, 1/4, 0, -1/4, 0, 0, 1/4, 1/2, 1/4, 0, -1/4, 1/4, 0 ], [ 1/4, 0, 0, -1/4, -1/4, 0, 1/4, 0, 1/4, 0, 0, 1/4, 1/4, 1/2, -1/4, 0, 0, -1/4, 0, -1/4, 0, -1/4, -1/4, 0 ], [ 0, -1/4, 1/4, 0, 0, -1/4, 0, 1/4, 0, -1/4, -1/4, 0, 0, -1/4, -1/2, 1/4, -1/4, 0, -1/4, 0, 1/4, 0, 0, 1/4 ], [ -1/4, 0, 0, -1/4, 1/4, 0, 1/4, 0, -1/4, 0, 1/2, -1/4, 1/4, 0, -1/4, 0, 0, 1/4, 0, -1/4, 0, 1/4, -1/4, 0 ], [ 0, 1/4, -1/4, 0, 0, -1/4, 0, 1/4, 1/2, -1/4, 1/4, 0, 0, -1/4, 0, -1/4, -1/4, 0, -1/4, 0, -1/4, 0, 0, -1/4 ], [ 0, -1/4, 1/4, 0, 0, -1/4, 0, 1/4, 0, 1/4, 1/4, 0, 0, 1/4, 0, 1/4, 1/4, 0, -1/4, 1/2, -1/4, 0, 0, -1/4 ], [ 0, 1/4, 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1/8, 1/8, 1/8, -3/8, -1/8, 1/8, 1/8 ], [ -1/8, 1/8, -1/8, -1/8, -1/8, 1/8, 1/8, 1/8, -1/8, 3/8, -1/8, 1/8, -1/8, -1/8, 1/8, 3/8, -3/8, -1/8, -1/8, 3/8, -1/8, 1/8, -1/8, 3/8 ] ] , #### 23 ## Label: 5A_0 ## Order: 5 ## Centralizer: 6048000 ## Cycles: [ [ 5, 39312 ] ] ## Trace: -6 ## Factors: [ [ 5, 6 ] ] [ [ 0, 0, 1/4, 0, 1/4, 1/4, 1/4, 0, 0, 0, 0, 1/4, 1/4, -1/4, -1/2, -1/4, 0, 0, 0, 1/4, -1/4, 1/4, 0, 1/4 ], [ 1/4, -1/4, 0, -1/4, 0, 0, 0, 1/4, 1/4, 1/4, 1/4, 0, 0, 0, -1/4, 0, -1/4, -1/4, 1/4, 0, 0, 0, 1/4, -1/2 ], [ 0, 0, -1/4, 0, -1/4, -1/4, -1/4, 0, 0, 0, 0, -1/4, 1/4, -1/4, 0, -1/4, 0, 0, 0, -1/4, -1/4, 1/4, 1/2, 1/4 ], [ -1/4, 1/4, 0, -1/4, 0, 0, -1/2, -1/4, 1/4, 1/4, 1/4, 0, 0, 0, -1/4, 0, 1/4, 1/4, 1/4, 0, 0, 0, -1/4, 0 ], [ 0, 1/2, -1/4, 0, -1/4, -1/4, 1/4, 0, 0, 0, 0, 1/4, -1/4, -1/4, 0, -1/4, 0, 0, 0, 1/4, -1/4, -1/4, 0, -1/4 ], [ -1/4, -1/4, 0, 1/4, 0, -1/2, 0, -1/4, -1/4, -1/4, 1/4, 0, 0, 0, -1/4, 0, -1/4, -1/4, 1/4, 0, 0, 0, -1/4, 0 ], [ 0, 0, -1/4, 1/2, -1/4, 1/4, -1/4, 0, 0, 0, 0, 1/4, 1/4, 1/4, 0, -1/4, 0, 0, 0, 1/4, 1/4, 1/4, 0, -1/4 ], [ -1/4, 1/4, 0, 1/4, 0, 0, 0, -1/4, 1/4, 1/4, -1/4, 0, 0, 0, -1/4, 1/2, -1/4, -1/4, -1/4, 0, 0, 0, 1/4, 0 ], [ 0, 0, 1/4, 0, -1/4, 1/4, -1/4, 0, -1/2, 0, 0, -1/4, 1/4, -1/4, 0, 1/4, 0, 0, 0, 1/4, -1/4, -1/4, 0, -1/4 ], [ -1/4, -1/4, 0, -1/4, 0, 0, 0, -1/4, 1/4, -1/4, 1/4, 0, 0, 0, 1/4, 0, -1/4, 1/4, -1/4, 1/2, 0, 0, 1/4, 0 ], [ 1/4, -1/4, 0, 1/4, 0, 0, 0, -1/4, 1/4, 1/4, -1/4, 0, 0, 0, 1/4, 0, -1/4, 1/4, 1/4, 0, -1/2, 0, -1/4, 0 ], [ -1/2, 0, 1/4, 0, -1/4, 1/4, 1/4, 0, 0, 0, 0, -1/4, -1/4, 1/4, 0, -1/4, 0, 0, 0, -1/4, -1/4, 1/4, 0, -1/4 ], [ 0, 0, -1/4, 0, 1/4, 1/4, -1/4, 0, 0, -1/2, 0, 1/4, -1/4, -1/4, 0, 1/4, 0, 0, 0, -1/4, -1/4, 1/4, 0, -1/4 ], [ 1/4, 1/4, 0, 1/4, 0, 0, 0, 1/4, 1/4, -1/4, 1/4, -1/2, 0, 0, -1/4, 0, -1/4, 1/4, -1/4, 0, 0, 0, -1/4, 0 ], [ 1/4, 1/4, 0, -1/4, 0, 0, 0, -1/4, -1/4, -1/4, -1/4, 0, 0, 1/2, -1/4, 0, -1/4, 1/4, 1/4, 0, 0, 0, 1/4, 0 ], [ 0, 0, -1/4, 0, 1/4, 1/4, 1/4, -1/2, 0, 0, 0, -1/4, 1/4, -1/4, 0, -1/4, 0, 0, 0, -1/4, 1/4, -1/4, 0, -1/4 ], [ -1/4, 1/4, 0, 1/4, 1/2, 0, 0, 1/4, -1/4, 1/4, 1/4, 0, 0, 0, 1/4, 0, -1/4, 1/4, 1/4, 0, 0, 0, 1/4, 0 ], [ -1/4, 1/4, 0, -1/4, 0, 0, 0, 1/4, 1/4, -1/4, -1/4, 0, 1/2, 0, 1/4, 0, -1/4, -1/4, 1/4, 0, 0, 0, -1/4, 0 ], [ 0, 0, 1/4, 0, 1/4, -1/4, -1/4, 0, 0, 0, 0, 1/4, 1/4, 1/4, 0, -1/4, 0, 0, -1/2, -1/4, -1/4, -1/4, 0, -1/4 ], [ 0, 0, 1/4, 0, -1/4, -1/4, 1/4, 0, 0, 0, 0, 1/4, 1/4, -1/4, 0, 1/4, 0, 1/2, 0, -1/4, 1/4, 1/4, 0, -1/4 ], [ 1/4, 1/4, 1/2, 1/4, 0, 0, 0, -1/4, 1/4, -1/4, 1/4, 0, 0, 0, 1/4, 0, 1/4, -1/4, 1/4, 0, 0, 0, 1/4, 0 ], [ -1/4, -1/4, 0, 1/4, 0, 0, 0, 1/4, 1/4, -1/4, -1/4, 0, 0, 0, -1/4, 0, 1/4, 1/4, 1/4, 0, 0, -1/2, 1/4, 0 ], [ 0, 0, -1/4, 0, -1/4, 1/4, 1/4, 0, 0, 0, 1/2, 1/4, 1/4, 1/4, 0, 1/4, 0, 0, 0, -1/4, -1/4, -1/4, 0, 1/4 ], [ 0, 0, -1/4, 0, 1/4, -1/4, 1/4, 0, 0, 0, 0, -1/4, 1/4, 1/4, 0, 1/4, 1/2, 0, 0, 1/4, -1/4, 1/4, 0, -1/4 ] ] , #### 24 ## Label: 5A_1 ## Order: 10 ## Centralizer: 6048000 ## Cycles: [ [ 10, 19656 ] ] ## Trace: 6 ## Factors: [ [ 10, 6 ] ] [ [ 0, 0, -1/4, 0, -1/4, -1/4, -1/4, 0, 0, 0, 0, -1/4, -1/4, 1/4, 1/2, 1/4, 0, 0, 0, -1/4, 1/4, -1/4, 0, -1/4 ], [ -1/4, 1/4, 0, 1/4, 0, 0, 0, -1/4, -1/4, -1/4, -1/4, 0, 0, 0, 1/4, 0, 1/4, 1/4, -1/4, 0, 0, 0, -1/4, 1/2 ], [ 0, 0, 1/4, 0, 1/4, 1/4, 1/4, 0, 0, 0, 0, 1/4, -1/4, 1/4, 0, 1/4, 0, 0, 0, 1/4, 1/4, -1/4, -1/2, -1/4 ], [ 1/4, -1/4, 0, 1/4, 0, 0, 1/2, 1/4, -1/4, -1/4, -1/4, 0, 0, 0, 1/4, 0, -1/4, -1/4, -1/4, 0, 0, 0, 1/4, 0 ], [ 0, -1/2, 1/4, 0, 1/4, 1/4, -1/4, 0, 0, 0, 0, -1/4, 1/4, 1/4, 0, 1/4, 0, 0, 0, -1/4, 1/4, 1/4, 0, 1/4 ], [ 1/4, 1/4, 0, -1/4, 0, 1/2, 0, 1/4, 1/4, 1/4, -1/4, 0, 0, 0, 1/4, 0, 1/4, 1/4, -1/4, 0, 0, 0, 1/4, 0 ], [ 0, 0, 1/4, -1/2, 1/4, -1/4, 1/4, 0, 0, 0, 0, -1/4, -1/4, -1/4, 0, 1/4, 0, 0, 0, -1/4, -1/4, -1/4, 0, 1/4 ], [ 1/4, -1/4, 0, -1/4, 0, 0, 0, 1/4, -1/4, -1/4, 1/4, 0, 0, 0, 1/4, -1/2, 1/4, 1/4, 1/4, 0, 0, 0, -1/4, 0 ], [ 0, 0, -1/4, 0, 1/4, -1/4, 1/4, 0, 1/2, 0, 0, 1/4, -1/4, 1/4, 0, -1/4, 0, 0, 0, -1/4, 1/4, 1/4, 0, 1/4 ], [ 1/4, 1/4, 0, 1/4, 0, 0, 0, 1/4, -1/4, 1/4, -1/4, 0, 0, 0, -1/4, 0, 1/4, -1/4, 1/4, -1/2, 0, 0, -1/4, 0 ], [ -1/4, 1/4, 0, -1/4, 0, 0, 0, 1/4, -1/4, -1/4, 1/4, 0, 0, 0, -1/4, 0, 1/4, -1/4, -1/4, 0, 1/2, 0, 1/4, 0 ], [ 1/2, 0, -1/4, 0, 1/4, -1/4, -1/4, 0, 0, 0, 0, 1/4, 1/4, -1/4, 0, 1/4, 0, 0, 0, 1/4, 1/4, -1/4, 0, 1/4 ], [ 0, 0, 1/4, 0, -1/4, -1/4, 1/4, 0, 0, 1/2, 0, -1/4, 1/4, 1/4, 0, -1/4, 0, 0, 0, 1/4, 1/4, -1/4, 0, 1/4 ], [ -1/4, -1/4, 0, -1/4, 0, 0, 0, -1/4, -1/4, 1/4, -1/4, 1/2, 0, 0, 1/4, 0, 1/4, -1/4, 1/4, 0, 0, 0, 1/4, 0 ], [ -1/4, -1/4, 0, 1/4, 0, 0, 0, 1/4, 1/4, 1/4, 1/4, 0, 0, -1/2, 1/4, 0, 1/4, -1/4, -1/4, 0, 0, 0, -1/4, 0 ], [ 0, 0, 1/4, 0, -1/4, -1/4, -1/4, 1/2, 0, 0, 0, 1/4, -1/4, 1/4, 0, 1/4, 0, 0, 0, 1/4, -1/4, 1/4, 0, 1/4 ], [ 1/4, -1/4, 0, -1/4, -1/2, 0, 0, -1/4, 1/4, -1/4, -1/4, 0, 0, 0, -1/4, 0, 1/4, -1/4, -1/4, 0, 0, 0, -1/4, 0 ], [ 1/4, -1/4, 0, 1/4, 0, 0, 0, -1/4, -1/4, 1/4, 1/4, 0, -1/2, 0, -1/4, 0, 1/4, 1/4, -1/4, 0, 0, 0, 1/4, 0 ], [ 0, 0, -1/4, 0, -1/4, 1/4, 1/4, 0, 0, 0, 0, -1/4, -1/4, -1/4, 0, 1/4, 0, 0, 1/2, 1/4, 1/4, 1/4, 0, 1/4 ], [ 0, 0, -1/4, 0, 1/4, 1/4, -1/4, 0, 0, 0, 0, -1/4, -1/4, 1/4, 0, -1/4, 0, -1/2, 0, 1/4, -1/4, -1/4, 0, 1/4 ], [ -1/4, -1/4, -1/2, -1/4, 0, 0, 0, 1/4, -1/4, 1/4, -1/4, 0, 0, 0, -1/4, 0, -1/4, 1/4, -1/4, 0, 0, 0, -1/4, 0 ], [ 1/4, 1/4, 0, -1/4, 0, 0, 0, -1/4, -1/4, 1/4, 1/4, 0, 0, 0, 1/4, 0, -1/4, -1/4, -1/4, 0, 0, 1/2, -1/4, 0 ], [ 0, 0, 1/4, 0, 1/4, -1/4, -1/4, 0, 0, 0, -1/2, -1/4, -1/4, -1/4, 0, -1/4, 0, 0, 0, 1/4, 1/4, 1/4, 0, -1/4 ], [ 0, 0, 1/4, 0, -1/4, 1/4, -1/4, 0, 0, 0, 0, 1/4, -1/4, -1/4, 0, -1/4, -1/2, 0, 0, -1/4, 1/4, -1/4, 0, 1/4 ] ] , #### 25 ## Label: 5B_0 ## Order: 5 ## Centralizer: 72000 ## Cycles: [ [ 1, 120 ], [ 5, 39288 ] ] ## Trace: 4 ## Factors: [ [ 1, 8 ], [ 5, 4 ] ] [ [ 0, 1/4, 1/4, 1/4, 0, -1/2, -1/4, 0, -1/4, 0, 0, 0, 0, 0, 1/4, 0, 1/4, 1/4, 1/4, 0, 1/4, 0, 1/4, -1/4 ], [ 0, 1/4, 1/4, 1/4, 0, 0, 1/4, 0, 1/4, 0, 0, -1/2, 0, 0, 1/4, 0, -1/4, 1/4, -1/4, 0, 1/4, 0, -1/4, 1/4 ], [ 0, 1/4, 1/4, -1/4, 0, 0, -1/4, 0, 1/4, 0, 0, 0, 0, 0, -1/4, 0, 1/4, -1/4, -1/4, -1/2, 1/4, 0, -1/4, -1/4 ], [ 0, -1/4, 1/4, -1/4, 0, 0, -1/4, 1/2, -1/4, 0, 0, 0, 0, 0, 1/4, 0, -1/4, 1/4, -1/4, 0, -1/4, 0, -1/4, -1/4 ], [ 0, -1/4, -1/4, -1/4, 0, 0, -1/4, 0, 1/4, 0, 0, 0, 0, 1/2, 1/4, 0, 1/4, 1/4, -1/4, 0, 1/4, 0, 1/4, 1/4 ], [ 1/4, 0, 0, 0, -1/4, 1/4, 0, -1/4, 0, 1/4, -1/4, 1/4, 1/4, -1/4, 0, -1/4, 0, 1/2, 0, -1/4, 0, -1/4, 0, 0 ], [ 0, 1/4, -1/4, -1/4, 0, 0, 1/4, 0, 1/4, 0, 1/2, 0, 0, 0, 1/4, 0, 1/4, 1/4, 1/4, 0, -1/4, 0, -1/4, -1/4 ], [ 1/4, 0, 0, 0, -1/4, -1/4, 0, 1/4, 0, 1/4, 1/4, -1/4, 1/4, 1/4, -1/2, -1/4, 0, 0, 0, 1/4, 0, -1/4, 0, 0 ], [ 1/4, 0, 0, 0, -1/4, -1/4, 0, 1/4, 1/2, -1/4, -1/4, 1/4, -1/4, -1/4, 0, 1/4, 0, 0, 0, 1/4, 0, -1/4, 0, 0 ], [ 1/4, 0, -1/2, 0, 1/4, -1/4, 0, 1/4, 0, 1/4, -1/4, -1/4, 1/4, -1/4, 0, 1/4, 0, 0, 0, -1/4, 0, 1/4, 0, 0 ], [ -1/4, 0, 0, -1/2, 1/4, -1/4, 0, -1/4, 0, -1/4, -1/4, -1/4, 1/4, -1/4, 0, -1/4, 0, 0, 0, 1/4, 0, -1/4, 0, 0 ], [ 1/4, 0, 0, 0, 1/4, -1/4, 0, -1/4, 0, -1/4, 1/4, 1/4, 1/4, 1/4, 0, 1/4, -1/2, 0, 0, -1/4, 0, -1/4, 0, 0 ], [ 0, -1/4, 1/4, -1/4, 0, 0, 1/4, 0, 1/4, 1/2, 0, 0, 0, 0, 1/4, 0, -1/4, -1/4, 1/4, 0, 1/4, 0, 1/4, -1/4 ], [ 1/4, 0, 0, 0, 1/4, -1/4, 0, -1/4, 0, 1/4, -1/4, 1/4, -1/4, 1/4, 0, -1/4, 0, 0, 0, 1/4, 0, 1/4, -1/2, 0 ], [ 0, -1/4, -1/4, 1/4, 0, 0, 1/4, 0, -1/4, 0, 0, 0, 0, 0, 1/4, 0, 1/4, -1/4, -1/4, 0, 1/4, -1/2, -1/4, -1/4 ], [ -1/4, 0, 0, 0, -1/4, -1/4, 0, -1/4, 0, 1/4, 1/4, 1/4, 1/4, -1/4, 0, 1/4, 0, 0, -1/2, 1/4, 0, 1/4, 0, 0 ], [ -1/4, 0, 0, 0, -1/4, -1/4, 0, -1/4, 0, 1/4, -1/4, -1/4, -1/4, 1/4, 0, 1/4, 0, 0, 0, -1/4, -1/2, -1/4, 0, 0 ], [ 0, 1/4, -1/4, -1/4, 0, 0, 1/4, 0, -1/4, 0, 0, 0, -1/2, 0, -1/4, 0, -1/4, 1/4, -1/4, 0, 1/4, 0, 1/4, -1/4 ], [ 0, 1/4, -1/4, -1/4, -1/2, 0, -1/4, 0, -1/4, 0, 0, 0, 0, 0, 1/4, 0, -1/4, -1/4, 1/4, 0, 1/4, 0, -1/4, 1/4 ], [ -1/4, 1/2, 0, 0, 1/4, 1/4, 0, 1/4, 0, 1/4, -1/4, 1/4, 1/4, 1/4, 0, 1/4, 0, 0, 0, 1/4, 0, -1/4, 0, 0 ], [ -1/2, -1/4, -1/4, 1/4, 0, 0, -1/4, 0, 1/4, 0, 0, 0, 0, 0, -1/4, 0, -1/4, 1/4, 1/4, 0, 1/4, 0, -1/4, -1/4 ], [ 0, 1/4, -1/4, 1/4, 0, 0, -1/4, 0, 1/4, 0, 0, 0, 0, 0, 1/4, -1/2, -1/4, -1/4, -1/4, 0, -1/4, 0, 1/4, -1/4 ], [ 1/4, 0, 0, 0, 1/4, 1/4, -1/2, -1/4, 0, 1/4, 1/4, -1/4, -1/4, -1/4, 0, 1/4, 0, 0, 0, 1/4, 0, -1/4, 0, 0 ], [ -1/4, 0, 0, 0, 1/4, -1/4, 0, 1/4, 0, 1/4, 1/4, 1/4, -1/4, -1/4, 0, -1/4, 0, 0, 0, -1/4, 0, -1/4, 0, 1/2 ] ] , #### 26 ## Label: 5B_1 ## Order: 10 ## Centralizer: 72000 ## Cycles: [ [ 2, 60 ], [ 10, 19644 ] ] ## Trace: -4 ## Factors: [ [ 2, 8 ], [ 10, 4 ] ] [ [ 0, -1/4, -1/4, -1/4, 0, 1/2, 1/4, 0, 1/4, 0, 0, 0, 0, 0, -1/4, 0, -1/4, -1/4, -1/4, 0, -1/4, 0, -1/4, 1/4 ], [ 0, -1/4, -1/4, -1/4, 0, 0, -1/4, 0, -1/4, 0, 0, 1/2, 0, 0, -1/4, 0, 1/4, -1/4, 1/4, 0, -1/4, 0, 1/4, -1/4 ], [ 0, -1/4, -1/4, 1/4, 0, 0, 1/4, 0, -1/4, 0, 0, 0, 0, 0, 1/4, 0, -1/4, 1/4, 1/4, 1/2, -1/4, 0, 1/4, 1/4 ], [ 0, 1/4, -1/4, 1/4, 0, 0, 1/4, -1/2, 1/4, 0, 0, 0, 0, 0, -1/4, 0, 1/4, -1/4, 1/4, 0, 1/4, 0, 1/4, 1/4 ], [ 0, 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1/4, 1/4, 0, -1/4, 0, 0, 0, -1/4, 0, 1/4, 0, 0 ], [ 1/4, 0, 0, 0, -1/4, 1/4, 0, -1/4, 0, -1/4, -1/4, -1/4, 1/4, 1/4, 0, 1/4, 0, 0, 0, 1/4, 0, 1/4, 0, -1/2 ] ] , #### 27 ## Label: 5C_0 ## Order: 5 ## Centralizer: 30000 ## Cycles: [ [ 1, 10 ], [ 5, 39310 ] ] ## Trace: -1 ## Factors: [ [ 1, 4 ], [ 5, 5 ] ] [ [ -1/8, -1/8, 1/8, -3/8, 1/8, 1/8, -1/8, -1/8, 1/8, -1/8, -3/8, -1/8, 3/8, 1/8, 3/8, 1/8, -1/8, 1/8, 1/8, -1/8, -1/8, 1/8, 1/8, 3/8 ], [ -1/8, -1/8, 1/8, 1/8, -3/8, 1/8, -1/8, -1/8, 1/8, -1/8, 1/8, -1/8, -1/8, 1/8, -1/8, 5/8, 3/8, 1/8, 1/8, -1/8, -1/8, 1/8, 1/8, -1/8 ], [ 3/8, -1/8, -3/8, 1/8, 1/8, -3/8, -1/8, -1/8, 1/8, -1/8, 1/8, -1/8, 3/8, 1/8, -1/8, 1/8, -1/8, 1/8, 1/8, 3/8, -1/8, 1/8, 1/8, -1/8 ], [ 3/8, -1/8, 1/8, 1/8, 1/8, 1/8, -1/8, -1/8, 1/8, -1/8, 1/8, 3/8, -1/8, 1/8, -1/8, 1/8, -1/8, -3/8, -3/8, -1/8, -1/8, 1/8, 1/8, 3/8 ], [ -3/8, -3/8, -1/8, 3/8, -1/8, -1/8, 1/8, 1/8, -1/8, -3/8, -1/8, 1/8, 1/8, -1/8, 1/8, -1/8, 1/8, -1/8, -1/8, 1/8, 1/8, -1/8, 3/8, 1/8 ], [ -1/8, -1/8, 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-1/8, -1/8, 1/8, 1/8, 3/8 ], [ 1/8, 1/8, 3/8, -1/8, -1/8, -1/8, 1/8, 1/8, 3/8, 1/8, 3/8, -3/8, 1/8, -1/8, 1/8, -1/8, 1/8, -1/8, -1/8, 1/8, 1/8, -1/8, 3/8, 1/8 ], [ 3/8, -1/8, 1/8, 1/8, 1/8, 1/8, 3/8, 3/8, 1/8, -1/8, -3/8, -1/8, -1/8, 1/8, -1/8, 1/8, -1/8, 1/8, 1/8, -1/8, -1/8, -3/8, 1/8, -1/8 ], [ -1/8, 3/8, 1/8, 1/8, 1/8, 1/8, -1/8, -1/8, 1/8, -1/8, 1/8, 3/8, 3/8, -3/8, -1/8, 1/8, -1/8, 1/8, 1/8, -1/8, -1/8, -3/8, 1/8, -1/8 ], [ 1/8, 1/8, 3/8, -1/8, -1/8, -1/8, 1/8, 1/8, -1/8, -3/8, -1/8, 1/8, 1/8, -1/8, 1/8, -1/8, 1/8, -1/8, -1/8, 1/8, -3/8, 3/8, -1/8, -3/8 ] ] , #### 28 ## Label: 5C_1 ## Order: 10 ## Centralizer: 30000 ## Cycles: [ [ 2, 5 ], [ 10, 19655 ] ] ## Trace: 1 ## Factors: [ [ 2, 4 ], [ 10, 5 ] ] [ [ 1/8, 1/8, -1/8, 3/8, -1/8, -1/8, 1/8, 1/8, -1/8, 1/8, 3/8, 1/8, -3/8, -1/8, -3/8, -1/8, 1/8, -1/8, -1/8, 1/8, 1/8, -1/8, -1/8, -3/8 ], [ 1/8, 1/8, -1/8, -1/8, 3/8, -1/8, 1/8, 1/8, -1/8, 1/8, -1/8, 1/8, 1/8, -1/8, 1/8, -5/8, -3/8, -1/8, -1/8, 1/8, 1/8, -1/8, -1/8, 1/8 ], [ -3/8, 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-1/8, -1/8, -3/8, -3/8, -1/8 ], [ 3/8, -1/8, 1/8, 1/8, 1/8, 1/8, -1/8, -1/8, -3/8, -1/8, 1/8, -1/8, -1/8, -3/8, 3/8, 1/8, -1/8, 1/8, 1/8, -1/8, 3/8, 1/8, 1/8, -1/8 ], [ 1/8, 1/8, -1/8, -1/8, -1/8, -1/8, -3/8, 1/8, 3/8, -3/8, -1/8, 1/8, -3/8, -1/8, 1/8, -1/8, 1/8, -1/8, 3/8, 1/8, 1/8, -1/8, -1/8, 1/8 ], [ 1/8, -3/8, -1/8, -1/8, -1/8, 3/8, 1/8, -3/8, 3/8, 1/8, -1/8, 1/8, 1/8, -1/8, 1/8, -1/8, 1/8, -1/8, -1/8, 1/8, 1/8, -1/8, -1/8, -3/8 ], [ -1/8, -1/8, -3/8, 1/8, 1/8, 1/8, -1/8, -1/8, -3/8, -1/8, -3/8, 3/8, -1/8, 1/8, -1/8, 1/8, -1/8, 1/8, 1/8, -1/8, -1/8, 1/8, -3/8, -1/8 ], [ -3/8, 1/8, -1/8, -1/8, -1/8, -1/8, -3/8, -3/8, -1/8, 1/8, 3/8, 1/8, 1/8, -1/8, 1/8, -1/8, 1/8, -1/8, -1/8, 1/8, 1/8, 3/8, -1/8, 1/8 ], [ 1/8, -3/8, -1/8, -1/8, -1/8, -1/8, 1/8, 1/8, -1/8, 1/8, -1/8, -3/8, -3/8, 3/8, 1/8, -1/8, 1/8, -1/8, -1/8, 1/8, 1/8, 3/8, -1/8, 1/8 ], [ -1/8, -1/8, -3/8, 1/8, 1/8, 1/8, -1/8, -1/8, 1/8, 3/8, 1/8, -1/8, -1/8, 1/8, -1/8, 1/8, -1/8, 1/8, 1/8, -1/8, 3/8, -3/8, 1/8, 3/8 ] ] , #### 29 ## Label: 6A_0 ## Order: 6 ## Centralizer: 19906560 ## Cycles: [ [ 3, 1440 ], [ 6, 32040 ] ] ## Trace: -4 ## Factors: [ [ 3, 8 ], [ 6, 4 ] ] [ [ -1/8, 1/8, 3/8, -1/8, 1/8, -3/8, 1/8, -1/8, -3/8, 1/8, 1/8, -1/8, 1/8, 3/8, 1/8, 1/8, -1/8, 1/8, -1/8, -1/8, -1/8, -1/8, 3/8, 1/8 ], [ 1/8, -1/8, 1/8, -3/8, -1/8, -1/8, -1/8, -3/8, 3/8, -1/8, -1/8, 1/8, -1/8, 1/8, 3/8, -1/8, 1/8, -1/8, 1/8, 1/8, 1/8, -3/8, 1/8, -1/8 ], [ -1/8, 1/8, -1/8, -1/8, 1/8, 1/8, 1/8, -1/8, 1/8, 1/8, 1/8, -1/8, 1/8, 3/8, 1/8, -3/8, -1/8, 1/8, -1/8, 3/8, -1/8, 3/8, -1/8, -3/8 ], [ -1/8, 1/8, -1/8, -1/8, 1/8, 1/8, 1/8, -1/8, 1/8, 1/8, 1/8, -1/8, -3/8, -1/8, -3/8, 1/8, -1/8, 1/8, -1/8, 3/8, 3/8, -1/8, 3/8, 1/8 ], [ 1/8, 3/8, 1/8, -3/8, -1/8, -1/8, -1/8, 1/8, -1/8, -1/8, -1/8, 1/8, -1/8, 1/8, -1/8, -1/8, 1/8, -1/8, -3/8, 1/8, 1/8, 1/8, -3/8, 3/8 ], [ 3/8, 1/8, -1/8, -1/8, 1/8, 1/8, 1/8, 3/8, 1/8, 1/8, -3/8, -1/8, 1/8, -1/8, 1/8, -3/8, -1/8, 1/8, -1/8, -1/8, -1/8, -1/8, 3/8, 1/8 ], [ -3/8, -1/8, -3/8, 1/8, -1/8, -1/8, -1/8, 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-3/8, -1/8, 1/8, -1/8, -1/8, 3/8, -1/8, -1/8, 1/8 ], [ -3/8, -1/8, 1/8, 1/8, -1/8, -1/8, 3/8, 1/8, 3/8, -1/8, -1/8, 1/8, 3/8, 1/8, -1/8, -1/8, 1/8, -1/8, 1/8, 1/8, 1/8, 1/8, 1/8, 3/8 ], [ -3/8, -1/8, 1/8, -3/8, 3/8, 3/8, -1/8, 1/8, -1/8, -1/8, -1/8, 1/8, -1/8, 1/8, -1/8, -1/8, 1/8, -1/8, 1/8, -3/8, 1/8, 1/8, 1/8, -1/8 ], [ 1/8, -1/8, 1/8, 1/8, -1/8, -1/8, -1/8, 1/8, 3/8, -1/8, 3/8, 1/8, -1/8, 1/8, -1/8, -1/8, -3/8, -1/8, -3/8, -3/8, 1/8, 1/8, 1/8, -1/8 ], [ -1/8, 1/8, -1/8, -1/8, 1/8, 1/8, 1/8, -1/8, 1/8, -3/8, 1/8, -5/8, 1/8, -1/8, 1/8, 1/8, -1/8, -3/8, -1/8, -1/8, -1/8, -1/8, -1/8, 1/8 ], [ 3/8, -3/8, -1/8, -1/8, 1/8, 1/8, 1/8, -1/8, 1/8, 1/8, 1/8, -1/8, 1/8, 3/8, -3/8, 1/8, 3/8, 1/8, -1/8, -1/8, -1/8, -1/8, -1/8, 1/8 ], [ -1/8, 1/8, -1/8, -1/8, -3/8, 1/8, -3/8, -1/8, 1/8, 1/8, 1/8, -1/8, 1/8, -1/8, 1/8, 1/8, 3/8, 1/8, -1/8, -1/8, -1/8, 3/8, 3/8, 1/8 ], [ 1/8, -1/8, 1/8, -3/8, -1/8, -1/8, 3/8, 1/8, -1/8, -1/8, 3/8, 1/8, -1/8, -3/8, -1/8, -1/8, 1/8, -1/8, 1/8, 1/8, -3/8, 1/8, 1/8, -1/8 ], [ -1/8, 1/8, -1/8, -1/8, -3/8, 1/8, 1/8, 3/8, 1/8, 1/8, 1/8, -1/8, -3/8, 3/8, 1/8, 1/8, -1/8, 1/8, 3/8, -1/8, -1/8, -1/8, -1/8, 1/8 ], [ -1/8, 1/8, -1/8, -1/8, 1/8, -3/8, -3/8, -1/8, 1/8, 1/8, 1/8, -1/8, 1/8, -1/8, -3/8, -3/8, -1/8, 1/8, 3/8, -1/8, -1/8, -1/8, -1/8, 1/8 ], [ -1/8, 1/8, 3/8, -1/8, -3/8, 1/8, 1/8, -1/8, 1/8, 1/8, -3/8, -1/8, 1/8, -1/8, -3/8, 1/8, -1/8, 1/8, -1/8, -1/8, -1/8, -1/8, -1/8, -3/8 ] ] , #### 30 ## Label: 6A_1 ## Order: 6 ## Centralizer: 19906560 ## Cycles: [ [ 3, 80 ], [ 6, 32720 ] ] ## Trace: 4 ## Factors: [ [ 3, 4 ], [ 6, 8 ] ] [ [ 1/8, -1/8, -3/8, 1/8, -1/8, 3/8, -1/8, 1/8, 3/8, -1/8, -1/8, 1/8, -1/8, -3/8, -1/8, -1/8, 1/8, -1/8, 1/8, 1/8, 1/8, 1/8, -3/8, -1/8 ], [ -1/8, 1/8, -1/8, 3/8, 1/8, 1/8, 1/8, 3/8, -3/8, 1/8, 1/8, -1/8, 1/8, -1/8, -3/8, 1/8, -1/8, 1/8, -1/8, -1/8, -1/8, 3/8, -1/8, 1/8 ], [ 1/8, -1/8, 1/8, 1/8, -1/8, -1/8, -1/8, 1/8, -1/8, -1/8, -1/8, 1/8, -1/8, -3/8, -1/8, 3/8, 1/8, -1/8, 1/8, -3/8, 1/8, -3/8, 1/8, 3/8 ], [ 1/8, -1/8, 1/8, 1/8, -1/8, -1/8, -1/8, 1/8, -1/8, -1/8, -1/8, 1/8, 3/8, 1/8, 3/8, -1/8, 1/8, -1/8, 1/8, -3/8, -3/8, 1/8, -3/8, -1/8 ], [ -1/8, -3/8, -1/8, 3/8, 1/8, 1/8, 1/8, -1/8, 1/8, 1/8, 1/8, -1/8, 1/8, -1/8, 1/8, 1/8, -1/8, 1/8, 3/8, -1/8, -1/8, -1/8, 3/8, -3/8 ], [ -3/8, -1/8, 1/8, 1/8, -1/8, -1/8, -1/8, -3/8, -1/8, -1/8, 3/8, 1/8, -1/8, 1/8, -1/8, 3/8, 1/8, -1/8, 1/8, 1/8, 1/8, 1/8, -3/8, -1/8 ], [ 3/8, 1/8, 3/8, -1/8, 1/8, 1/8, 1/8, -1/8, 1/8, 1/8, 1/8, -1/8, 1/8, -1/8, 1/8, 1/8, -1/8, 1/8, 3/8, -1/8, 3/8, 3/8, -1/8, 1/8 ], [ -1/8, -3/8, -1/8, -1/8, 1/8, -3/8, 1/8, -1/8, 1/8, 1/8, -3/8, -1/8, -3/8, -1/8, 1/8, 1/8, -1/8, 1/8, -1/8, -1/8, -1/8, 3/8, -1/8, 1/8 ], [ -1/8, 1/8, 3/8, 3/8, 1/8, 1/8, 1/8, -1/8, 1/8, 1/8, 1/8, -1/8, -3/8, -1/8, 1/8, -3/8, 3/8, 1/8, -1/8, -1/8, -1/8, -1/8, -1/8, 1/8 ], [ 1/8, -1/8, 1/8, 1/8, -1/8, -1/8, -1/8, 1/8, -1/8, 3/8, -1/8, -3/8, -1/8, 1/8, -1/8, -1/8, 1/8, -5/8, 1/8, 1/8, 1/8, 1/8, 1/8, -1/8 ], [ -1/8, 1/8, -1/8, -1/8, 1/8, -3/8, 1/8, 3/8, 1/8, 1/8, 1/8, -1/8, 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1/8, 1/8, -1/8 ], [ -3/8, 3/8, 1/8, 1/8, -1/8, -1/8, -1/8, 1/8, -1/8, -1/8, -1/8, 1/8, -1/8, -3/8, 3/8, -1/8, -3/8, -1/8, 1/8, 1/8, 1/8, 1/8, 1/8, -1/8 ], [ 1/8, -1/8, 1/8, 1/8, 3/8, -1/8, 3/8, 1/8, -1/8, -1/8, -1/8, 1/8, -1/8, 1/8, -1/8, -1/8, -3/8, -1/8, 1/8, 1/8, 1/8, -3/8, -3/8, -1/8 ], [ -1/8, 1/8, -1/8, 3/8, 1/8, 1/8, -3/8, -1/8, 1/8, 1/8, -3/8, -1/8, 1/8, 3/8, 1/8, 1/8, -1/8, 1/8, -1/8, -1/8, 3/8, -1/8, -1/8, 1/8 ], [ 1/8, -1/8, 1/8, 1/8, 3/8, -1/8, -1/8, -3/8, -1/8, -1/8, -1/8, 1/8, 3/8, -3/8, -1/8, -1/8, 1/8, -1/8, -3/8, 1/8, 1/8, 1/8, 1/8, -1/8 ], [ 1/8, -1/8, 1/8, 1/8, -1/8, 3/8, 3/8, 1/8, -1/8, -1/8, -1/8, 1/8, -1/8, 1/8, 3/8, 3/8, 1/8, -1/8, -3/8, 1/8, 1/8, 1/8, 1/8, -1/8 ], [ 1/8, -1/8, -3/8, 1/8, 3/8, -1/8, -1/8, 1/8, -1/8, -1/8, 3/8, 1/8, -1/8, 1/8, 3/8, -1/8, 1/8, -1/8, 1/8, 1/8, 1/8, 1/8, 1/8, 3/8 ] ] , #### 31 ## Label: 6B_0 ## Order: 12 ## Centralizer: 483840 ## Cycles: [ [ 12, 16380 ] ] ## Trace: 0 ## Factors: [ [ 12, 6 ] ] [ [ 3/8, -1/8, 1/8, 1/8, -1/8, 1/8, -1/8, 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1/8, 1/8, 1/8, 1/8, 1/8, 3/8, -1/8, 1/8, 3/8, -1/8, -1/8, -1/8 ], [ 1/8, 1/8, -1/8, -1/8, 1/8, -1/8, -3/8, -1/8, 3/8, 1/8, -3/8, -1/8, 1/8, 1/8, 1/8, 1/8, 1/8, 3/8, -1/8, 1/8, -1/8, -1/8, 3/8, -1/8 ] ] , #### 32 ## Label: 6C_0 ## Order: 6 ## Centralizer: 311040 ## Cycles: [ [ 2, 378 ], [ 3, 1440 ], [ 6, 31914 ] ] ## Trace: -4 ## Factors: [ [ 1, 6 ], [ 2, 6 ], [ 3, 5 ], [ 6, 1 ] ] [ [ -1/8, -3/8, -1/8, 1/8, -1/8, -1/8, 1/8, 1/8, -1/8, -1/8, 1/8, -3/8, -1/8, 1/8, 3/8, 1/8, 3/8, 1/8, 3/8, 1/8, -1/8, -1/8, 1/8, 1/8 ], [ 1/8, -1/8, -3/8, -1/8, 1/8, 1/8, -1/8, -1/8, 1/8, 1/8, 3/8, -1/8, -3/8, -1/8, 1/8, -1/8, 1/8, -1/8, -3/8, 3/8, 1/8, 1/8, -1/8, -1/8 ], [ -1/8, 1/8, -1/8, 1/8, 3/8, -1/8, 1/8, 1/8, -1/8, -1/8, 1/8, 1/8, -1/8, 1/8, -1/8, 1/8, -1/8, 1/8, 3/8, 1/8, 3/8, -1/8, -3/8, -3/8 ], [ 1/8, -1/8, 1/8, -5/8, 1/8, 1/8, -1/8, -1/8, -3/8, 1/8, -1/8, -1/8, 1/8, -1/8, 1/8, 3/8, 1/8, -1/8, 1/8, -1/8, 1/8, 1/8, -1/8, -1/8 ], [ -3/8, 3/8, 1/8, -1/8, 1/8, -3/8, -1/8, -1/8, 1/8, 1/8, -1/8, -1/8, 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0, 1/4, 0, -1/4, -1/4, 0, -1/4, 1/4, 0, 0 ], [ 0, 0, 1/4, -1/4, 0, 1/4, 1/4, 0, 0, 0, -1/4, 1/4, 1/4, 1/2, 0, 1/4, 0, -1/4, 1/4, 0, -1/4, -1/4, 0, 0 ], [ 1/4, -1/4, 0, 0, 1/4, -1/2, 0, -1/4, 1/4, -1/4, 0, 0, 0, 1/4, -1/4, 0, -1/4, 0, 0, 1/4, 0, 0, 1/4, 1/4 ], [ 0, 0, -1/4, -1/4, 0, -1/4, 1/4, 0, 0, 1/2, -1/4, 1/4, -1/4, 0, 0, -1/4, 0, -1/4, -1/4, 0, -1/4, 1/4, 0, 0 ] ] , #### 39 ## Label: 6F_1 ## Order: 6 ## Centralizer: 31104 ## Cycles: [ [ 1, 6 ], [ 2, 24 ], [ 3, 78 ], [ 6, 32712 ] ] ## Trace: 1 ## Factors: [ [ 1, 2 ], [ 2, 4 ], [ 3, 3 ], [ 6, 6 ] ] [ [ 0, 0, -1/4, -1/4, 0, -1/4, -1/4, 1/2, 0, 0, -1/4, -1/4, 1/4, 0, 0, 1/4, 0, -1/4, -1/4, 0, 1/4, -1/4, 0, 0 ], [ 1/4, 1/4, 0, 0, 1/4, 0, 1/2, 1/4, -1/4, -1/4, 0, 0, 0, -1/4, -1/4, 0, -1/4, 0, 0, -1/4, 0, 0, -1/4, 1/4 ], [ -1/4, -1/4, 0, 0, 1/4, 0, 0, -1/4, -1/4, -1/4, 0, 0, 0, -1/4, -1/4, 0, 1/4, -1/2, 0, -1/4, 0, 0, 1/4, -1/4 ], [ -1/4, -1/4, 0, 0, -1/4, 0, 0, 1/4, -1/4, -1/4, 0, 0, 0, 1/4, 1/4, 0, -1/4, 0, 0, -1/4, 0, 1/2, 1/4, 1/4 ], 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1/8, -1/8, -5/8, -1/8, -1/8, -1/8, 1/8, -1/8, 1/8, -1/8, -1/8, -1/8 ], [ 1/8, 1/8, 1/8, -1/8, 1/8, -1/8, 1/8, 5/8, -1/8, -1/8, 1/8, 3/8, -1/8, 1/8, -3/8, 1/8, 1/8, 1/8, -1/8, 1/8, -1/8, 1/8, 1/8, 1/8 ], [ 1/8, 1/8, 1/8, -1/8, 1/8, 3/8, 1/8, 1/8, -1/8, -1/8, -3/8, -1/8, -1/8, -3/8, 1/8, 1/8, 1/8, -3/8, -1/8, -3/8, -1/8, 1/8, 1/8, 1/8 ], [ -1/8, -1/8, -1/8, -3/8, 3/8, -3/8, -1/8, -1/8, 1/8, 1/8, -1/8, 1/8, 1/8, -1/8, -1/8, -1/8, -1/8, -1/8, -3/8, -1/8, 1/8, -1/8, -1/8, 3/8 ] ] , #### 43 ## Label: 7A_0 ## Order: 7 ## Centralizer: 35280 ## Cycles: [ [ 7, 28080 ] ] ## Trace: -4 ## Factors: [ [ 7, 4 ] ] [ [ -1/8, 3/8, 1/8, 1/8, 1/8, 1/8, 3/8, -1/8, 1/8, -1/8, -1/8, 1/8, -1/8, 1/8, 1/8, 3/8, -3/8, -1/8, -3/8, -1/8, 1/8, -1/8, 1/8, -1/8 ], [ -1/8, -1/8, 1/8, -3/8, 1/8, 1/8, -1/8, 3/8, 1/8, -1/8, -1/8, 1/8, 3/8, 1/8, 1/8, -1/8, 1/8, -1/8, -3/8, 3/8, 1/8, -1/8, 1/8, -1/8 ], [ 1/8, -3/8, -1/8, 3/8, -1/8, -1/8, 1/8, 1/8, -1/8, 1/8, -3/8, -1/8, 1/8, -1/8, -1/8, 1/8, -1/8, -3/8, -1/8, 1/8, -1/8, 1/8, 3/8, 1/8 ], [ -1/8, 3/8, -3/8, 1/8, 1/8, 1/8, -1/8, -1/8, 1/8, -1/8, -1/8, -3/8, -1/8, 1/8, 1/8, -1/8, 1/8, -1/8, 1/8, 3/8, 1/8, 3/8, 1/8, -1/8 ], [ 1/8, -3/8, -1/8, -1/8, -1/8, -1/8, 1/8, -3/8, -1/8, 1/8, 1/8, -1/8, 1/8, -1/8, 3/8, 1/8, -1/8, 1/8, -1/8, 1/8, 3/8, 1/8, -1/8, -3/8 ], [ -1/8, -1/8, 1/8, 1/8, 1/8, 1/8, -1/8, -1/8, 1/8, -1/8, -1/8, -3/8, 3/8, 1/8, 1/8, 3/8, 1/8, 3/8, 1/8, -1/8, -3/8, -1/8, 1/8, -1/8 ], [ -1/8, -1/8, 1/8, 1/8, 1/8, 1/8, -1/8, -1/8, 1/8, -1/8, 3/8, 1/8, 3/8, 1/8, -3/8, -1/8, -3/8, -1/8, 1/8, -1/8, 1/8, 3/8, 1/8, -1/8 ], [ -1/8, -1/8, -3/8, 1/8, 1/8, 1/8, 3/8, -1/8, 1/8, -1/8, -1/8, 1/8, 3/8, 1/8, 1/8, -1/8, 1/8, -1/8, 1/8, -1/8, 1/8, -1/8, -3/8, 3/8 ], [ -1/8, -1/8, -3/8, 1/8, 1/8, 1/8, -1/8, 3/8, -3/8, -1/8, 3/8, 1/8, -1/8, 1/8, 1/8, 3/8, 1/8, -1/8, 1/8, -1/8, 1/8, -1/8, 1/8, -1/8 ], [ 1/8, -3/8, -1/8, -1/8, 3/8, -1/8, 1/8, 1/8, 3/8, -3/8, 1/8, -1/8, -3/8, -1/8, -1/8, 1/8, -1/8, 1/8, -1/8, 1/8, -1/8, 1/8, -1/8, 1/8 ], [ -1/8, -1/8, 1/8, 1/8, -3/8, 1/8, -1/8, 3/8, 1/8, -1/8, -1/8, -3/8, -1/8, 1/8, 1/8, -1/8, -3/8, -1/8, 1/8, -1/8, 1/8, -1/8, -3/8, -1/8 ], [ -1/8, -1/8, 1/8, 1/8, 1/8, 1/8, 3/8, 3/8, 1/8, 3/8, -1/8, 1/8, -1/8, 1/8, 1/8, -1/8, 1/8, 3/8, 1/8, -1/8, 1/8, 3/8, 1/8, -1/8 ], [ 3/8, -1/8, 1/8, 1/8, 1/8, -3/8, -1/8, -1/8, 1/8, -1/8, -1/8, 1/8, -1/8, 5/8, 1/8, -1/8, 1/8, -1/8, 1/8, -1/8, 1/8, -1/8, 1/8, -1/8 ], [ -1/8, -1/8, 1/8, 1/8, 1/8, 1/8, -1/8, -1/8, -3/8, -1/8, -1/8, 1/8, -1/8, 1/8, 1/8, -1/8, 1/8, -1/8, -3/8, -1/8, -3/8, 3/8, -3/8, -1/8 ], [ -1/8, -1/8, 1/8, 1/8, 1/8, 1/8, -1/8, -1/8, 1/8, 3/8, -1/8, 1/8, -1/8, 1/8, -3/8, 3/8, 1/8, -1/8, 1/8, 3/8, 1/8, -1/8, -3/8, -1/8 ], [ 1/8, 1/8, -1/8, 3/8, 3/8, -1/8, 1/8, 1/8, -1/8, 1/8, 1/8, -1/8, 1/8, -1/8, -1/8, -3/8, -1/8, 1/8, -1/8, 1/8, -1/8, -3/8, -1/8, -3/8 ], [ -1/8, -1/8, -3/8, -3/8, 1/8, 1/8, -1/8, -1/8, 1/8, 3/8, -1/8, 1/8, -1/8, 1/8, 1/8, -1/8, -3/8, -1/8, 1/8, -1/8, -3/8, -1/8, 1/8, -1/8 ], [ 1/8, 1/8, 3/8, -1/8, 3/8, -1/8, 1/8, 1/8, -1/8, 1/8, 1/8, -1/8, 1/8, -1/8, 3/8, 1/8, -1/8, -3/8, 3/8, 1/8, -1/8, 1/8, -1/8, 1/8 ], [ 5/8, 1/8, -1/8, -1/8, -1/8, 3/8, 1/8, 1/8, -1/8, 1/8, 1/8, -1/8, 1/8, 3/8, -1/8, 1/8, -1/8, 1/8, -1/8, 1/8, -1/8, 1/8, -1/8, 1/8 ], [ 1/8, 1/8, -1/8, -1/8, -1/8, -1/8, 1/8, 1/8, 3/8, 1/8, 1/8, -1/8, 1/8, -1/8, -1/8, 1/8, 3/8, -3/8, -1/8, -3/8, -1/8, 1/8, -1/8, -3/8 ], [ -1/8, -1/8, 1/8, 1/8, -3/8, 1/8, 3/8, -1/8, 1/8, -1/8, 3/8, 1/8, -1/8, 1/8, 1/8, -1/8, 1/8, -1/8, 1/8, 3/8, -3/8, -1/8, 1/8, -1/8 ], [ -1/8, -1/8, 1/8, 1/8, 1/8, 1/8, -1/8, -1/8, 1/8, 3/8, 3/8, -3/8, -1/8, 1/8, 1/8, -1/8, 1/8, -1/8, -3/8, -1/8, 1/8, -1/8, 1/8, 3/8 ], [ 1/8, 1/8, -1/8, 3/8, -1/8, -1/8, -3/8, 1/8, 3/8, 1/8, 1/8, 3/8, 1/8, -1/8, 3/8, 1/8, -1/8, 1/8, -1/8, 1/8, -1/8, 1/8, -1/8, 1/8 ], [ 3/8, -1/8, 1/8, 1/8, 1/8, 5/8, -1/8, -1/8, 1/8, -1/8, -1/8, 1/8, -1/8, -3/8, 1/8, -1/8, 1/8, -1/8, 1/8, -1/8, 1/8, -1/8, 1/8, -1/8 ] ] , #### 44 ## Label: 7A_1 ## Order: 14 ## Centralizer: 35280 ## Cycles: [ [ 14, 14040 ] ] ## Trace: 4 ## Factors: [ [ 14, 4 ] ] [ [ 1/8, -3/8, -1/8, -1/8, -1/8, -1/8, -3/8, 1/8, -1/8, 1/8, 1/8, -1/8, 1/8, -1/8, -1/8, -3/8, 3/8, 1/8, 3/8, 1/8, -1/8, 1/8, -1/8, 1/8 ], [ 1/8, 1/8, -1/8, 3/8, -1/8, -1/8, 1/8, -3/8, -1/8, 1/8, 1/8, -1/8, -3/8, -1/8, -1/8, 1/8, -1/8, 1/8, 3/8, -3/8, -1/8, 1/8, -1/8, 1/8 ], [ -1/8, 3/8, 1/8, -3/8, 1/8, 1/8, -1/8, -1/8, 1/8, -1/8, 3/8, 1/8, -1/8, 1/8, 1/8, -1/8, 1/8, 3/8, 1/8, -1/8, 1/8, -1/8, -3/8, -1/8 ], [ 1/8, -3/8, 3/8, -1/8, -1/8, -1/8, 1/8, 1/8, -1/8, 1/8, 1/8, 3/8, 1/8, -1/8, -1/8, 1/8, -1/8, 1/8, -1/8, -3/8, -1/8, -3/8, -1/8, 1/8 ], [ -1/8, 3/8, 1/8, 1/8, 1/8, 1/8, -1/8, 3/8, 1/8, -1/8, -1/8, 1/8, -1/8, 1/8, -3/8, -1/8, 1/8, -1/8, 1/8, -1/8, -3/8, -1/8, 1/8, 3/8 ], [ 1/8, 1/8, -1/8, -1/8, -1/8, -1/8, 1/8, 1/8, -1/8, 1/8, 1/8, 3/8, -3/8, -1/8, -1/8, -3/8, -1/8, -3/8, -1/8, 1/8, 3/8, 1/8, -1/8, 1/8 ], [ 1/8, 1/8, -1/8, -1/8, -1/8, -1/8, 1/8, 1/8, -1/8, 1/8, -3/8, -1/8, -3/8, -1/8, 3/8, 1/8, 3/8, 1/8, -1/8, 1/8, -1/8, -3/8, -1/8, 1/8 ], [ 1/8, 1/8, 3/8, -1/8, -1/8, -1/8, -3/8, 1/8, -1/8, 1/8, 1/8, -1/8, -3/8, -1/8, -1/8, 1/8, -1/8, 1/8, -1/8, 1/8, -1/8, 1/8, 3/8, -3/8 ], [ 1/8, 1/8, 3/8, -1/8, -1/8, -1/8, 1/8, -3/8, 3/8, 1/8, -3/8, -1/8, 1/8, -1/8, -1/8, -3/8, -1/8, 1/8, -1/8, 1/8, -1/8, 1/8, -1/8, 1/8 ], [ -1/8, 3/8, 1/8, 1/8, -3/8, 1/8, -1/8, -1/8, -3/8, 3/8, -1/8, 1/8, 3/8, 1/8, 1/8, -1/8, 1/8, -1/8, 1/8, -1/8, 1/8, -1/8, 1/8, -1/8 ], [ 1/8, 1/8, -1/8, -1/8, 3/8, -1/8, 1/8, -3/8, -1/8, 1/8, 1/8, 3/8, 1/8, -1/8, -1/8, 1/8, 3/8, 1/8, -1/8, 1/8, -1/8, 1/8, 3/8, 1/8 ], [ 1/8, 1/8, -1/8, -1/8, -1/8, -1/8, -3/8, -3/8, -1/8, -3/8, 1/8, -1/8, 1/8, -1/8, -1/8, 1/8, -1/8, -3/8, -1/8, 1/8, -1/8, -3/8, -1/8, 1/8 ], [ -3/8, 1/8, -1/8, -1/8, -1/8, 3/8, 1/8, 1/8, -1/8, 1/8, 1/8, -1/8, 1/8, -5/8, -1/8, 1/8, -1/8, 1/8, -1/8, 1/8, -1/8, 1/8, -1/8, 1/8 ], [ 1/8, 1/8, -1/8, -1/8, -1/8, -1/8, 1/8, 1/8, 3/8, 1/8, 1/8, -1/8, 1/8, -1/8, -1/8, 1/8, -1/8, 1/8, 3/8, 1/8, 3/8, -3/8, 3/8, 1/8 ], [ 1/8, 1/8, -1/8, -1/8, -1/8, -1/8, 1/8, 1/8, -1/8, -3/8, 1/8, -1/8, 1/8, -1/8, 3/8, -3/8, -1/8, 1/8, -1/8, -3/8, -1/8, 1/8, 3/8, 1/8 ], [ -1/8, -1/8, 1/8, -3/8, -3/8, 1/8, -1/8, -1/8, 1/8, -1/8, -1/8, 1/8, -1/8, 1/8, 1/8, 3/8, 1/8, -1/8, 1/8, -1/8, 1/8, 3/8, 1/8, 3/8 ], [ 1/8, 1/8, 3/8, 3/8, -1/8, -1/8, 1/8, 1/8, -1/8, -3/8, 1/8, -1/8, 1/8, -1/8, -1/8, 1/8, 3/8, 1/8, -1/8, 1/8, 3/8, 1/8, -1/8, 1/8 ], [ -1/8, -1/8, -3/8, 1/8, -3/8, 1/8, -1/8, -1/8, 1/8, -1/8, -1/8, 1/8, -1/8, 1/8, -3/8, -1/8, 1/8, 3/8, -3/8, -1/8, 1/8, -1/8, 1/8, -1/8 ], [ -5/8, -1/8, 1/8, 1/8, 1/8, -3/8, -1/8, -1/8, 1/8, -1/8, -1/8, 1/8, -1/8, -3/8, 1/8, -1/8, 1/8, -1/8, 1/8, -1/8, 1/8, -1/8, 1/8, -1/8 ], [ -1/8, -1/8, 1/8, 1/8, 1/8, 1/8, -1/8, -1/8, -3/8, -1/8, -1/8, 1/8, -1/8, 1/8, 1/8, -1/8, -3/8, 3/8, 1/8, 3/8, 1/8, -1/8, 1/8, 3/8 ], [ 1/8, 1/8, -1/8, -1/8, 3/8, -1/8, -3/8, 1/8, -1/8, 1/8, -3/8, -1/8, 1/8, -1/8, -1/8, 1/8, -1/8, 1/8, -1/8, -3/8, 3/8, 1/8, -1/8, 1/8 ], [ 1/8, 1/8, -1/8, -1/8, -1/8, -1/8, 1/8, 1/8, -1/8, -3/8, -3/8, 3/8, 1/8, -1/8, -1/8, 1/8, -1/8, 1/8, 3/8, 1/8, -1/8, 1/8, -1/8, -3/8 ], [ -1/8, -1/8, 1/8, -3/8, 1/8, 1/8, 3/8, -1/8, -3/8, -1/8, -1/8, -3/8, -1/8, 1/8, -3/8, -1/8, 1/8, -1/8, 1/8, -1/8, 1/8, -1/8, 1/8, -1/8 ], [ -3/8, 1/8, -1/8, -1/8, -1/8, -5/8, 1/8, 1/8, -1/8, 1/8, 1/8, -1/8, 1/8, 3/8, -1/8, 1/8, -1/8, 1/8, -1/8, 1/8, -1/8, 1/8, -1/8, 1/8 ] ] , #### 45 ## Label: 7B_0 ## Order: 7 ## Centralizer: 2352 ## Cycles: [ [ 1, 42 ], [ 7, 28074 ] ] ## Trace: 3 ## Factors: [ [ 1, 6 ], [ 7, 3 ] ] [ [ -1/4, -1/4, 0, -1/4, 0, 1/4, 0, 0, -1/4, 0, 0, 0, 0, 0, 0, -1/4, -1/2, 0, -1/2, -1/4, 1/4, 0, 0, 0 ], [ 1/4, 1/4, 0, -1/4, 0, -1/4, 1/2, 0, -1/4, 0, 0, 0, 0, -1/2, 0, 1/4, 0, 0, 0, -1/4, 1/4, 0, 0, 0 ], [ -1/4, 1/4, 0, 1/4, 0, 1/4, 0, 0, 1/4, 0, 0, 1/2, 0, 0, 1/2, 1/4, 0, 0, 0, -1/4, 1/4, 0, 0, 0 ], [ 0, 0, -1/4, 0, -1/4, 0, 1/4, -1/4, 0, 1/4, -1/4, 1/4, 1/4, 1/4, -1/4, 0, 1/4, 1/4, -1/4, 0, 0, 1/4, 1/4, 1/4 ], [ 0, 0, 1/4, 0, 1/4, 0, 1/4, -1/4, 0, -1/4, 1/4, -1/4, 1/4, 1/4, 1/4, 0, 1/4, -1/4, -1/4, 0, 0, 1/4, 1/4, -1/4 ], [ 1/4, -1/4, 0, -1/4, 0, -1/4, 0, 0, -1/4, 0, 0, 1/2, 0, 0, 1/2, -1/4, 0, 0, 0, 1/4, -1/4, 0, 0, 0 ], [ -1/4, 1/4, 0, -1/4, 0, -1/4, 0, 0, 1/4, 0, 0, 0, -1/2, 0, 0, -1/4, 0, 0, 0, 1/4, 1/4, 1/2, 0, 0 ], [ 1/4, -1/4, 0, -1/4, 0, 1/4, 0, 1/2, 1/4, 0, 0, 0, 0, 0, 0, 1/4, 0, 0, 0, 1/4, 1/4, 0, 1/2, 0 ], [ -1/4, -1/4, 1/2, -1/4, 0, -1/4, 0, 0, 1/4, 0, 0, 0, 0, 0, 0, 1/4, 0, 1/2, 0, -1/4, -1/4, 0, 0, 0 ], [ 0, 0, 1/4, 0, -1/4, 0, 1/4, 1/4, 0, 1/4, -1/4, -1/4, 1/4, 1/4, 1/4, 0, -1/4, -1/4, 1/4, 0, 0, 1/4, -1/4, 1/4 ], [ 1/4, -1/4, 0, -1/4, 0, 1/4, 0, -1/2, 1/4, 0, 0, 0, 0, 0, 0, 1/4, 0, 0, 0, 1/4, 1/4, 0, -1/2, 0 ], [ -1/4, -1/4, 0, 1/4, 0, 1/4, 1/2, 0, 1/4, 0, 0, 0, 0, -1/2, 0, -1/4, 0, 0, 0, 1/4, -1/4, 0, 0, 0 ], [ -1/4, 1/4, 0, -1/4, 0, -1/4, 0, 0, 1/4, 0, 0, 0, 1/2, 0, 0, -1/4, 0, 0, 0, 1/4, 1/4, -1/2, 0, 0 ], [ 1/4, 1/4, 0, 1/4, 0, -1/4, 0, 0, 1/4, 0, 0, 0, 0, 0, 0, 1/4, -1/2, 0, -1/2, 1/4, -1/4, 0, 0, 0 ], [ 0, 0, 1/4, 0, -1/4, 0, -1/4, -1/4, 0, 1/4, -1/4, -1/4, -1/4, -1/4, 1/4, 0, 1/4, -1/4, -1/4, 0, 0, -1/4, 1/4, 1/4 ], [ -1/4, -1/4, -1/2, -1/4, 0, -1/4, 0, 0, 1/4, 0, 0, 0, 0, 0, 0, 1/4, 0, -1/2, 0, -1/4, -1/4, 0, 0, 0 ], [ 0, 0, 1/4, 0, 1/4, 0, -1/4, 1/4, 0, 1/4, 1/4, 1/4, 1/4, -1/4, -1/4, 0, 1/4, -1/4, -1/4, 0, 0, 1/4, -1/4, 1/4 ], [ 0, 0, 1/4, 0, 1/4, 0, 1/4, -1/4, 0, 1/4, 1/4, 1/4, -1/4, 1/4, -1/4, 0, -1/4, -1/4, 1/4, 0, 0, -1/4, 1/4, 1/4 ], [ 0, 0, 1/4, 0, -1/4, 0, -1/4, -1/4, 0, -1/4, -1/4, 1/4, 1/4, -1/4, -1/4, 0, -1/4, -1/4, 1/4, 0, 0, 1/4, 1/4, -1/4 ], [ -1/4, 1/4, 0, -1/4, -1/2, 1/4, 0, 0, -1/4, 0, 1/2, 0, 0, 0, 0, 1/4, 0, 0, 0, 1/4, -1/4, 0, 0, 0 ], [ 0, 0, -1/4, 0, 1/4, 0, -1/4, -1/4, 0, 1/4, 1/4, -1/4, 1/4, -1/4, 1/4, 0, -1/4, 1/4, 1/4, 0, 0, 1/4, 1/4, 1/4 ], [ 1/4, -1/4, 0, 1/4, -1/2, -1/4, 0, 0, 1/4, 0, 1/2, 0, 0, 0, 0, -1/4, 0, 0, 0, -1/4, 1/4, 0, 0, 0 ], [ 1/4, 1/4, 0, -1/4, 0, 1/4, 0, 0, 1/4, 1/2, 0, 0, 0, 0, 0, -1/4, 0, 0, 0, -1/4, -1/4, 0, 0, -1/2 ], [ 1/4, 1/4, 0, -1/4, 0, 1/4, 0, 0, 1/4, -1/2, 0, 0, 0, 0, 0, -1/4, 0, 0, 0, -1/4, -1/4, 0, 0, 1/2 ] ] , #### 46 ## Label: 7B_1 ## Order: 14 ## Centralizer: 2352 ## Cycles: [ [ 2, 21 ], [ 14, 14037 ] ] ## Trace: -3 ## Factors: [ [ 2, 6 ], [ 14, 3 ] ] [ [ 1/4, 1/4, 0, 1/4, 0, -1/4, 0, 0, 1/4, 0, 0, 0, 0, 0, 0, 1/4, 1/2, 0, 1/2, 1/4, -1/4, 0, 0, 0 ], [ -1/4, -1/4, 0, 1/4, 0, 1/4, -1/2, 0, 1/4, 0, 0, 0, 0, 1/2, 0, -1/4, 0, 0, 0, 1/4, -1/4, 0, 0, 0 ], [ 1/4, -1/4, 0, -1/4, 0, -1/4, 0, 0, -1/4, 0, 0, -1/2, 0, 0, -1/2, -1/4, 0, 0, 0, 1/4, -1/4, 0, 0, 0 ], [ 0, 0, 1/4, 0, 1/4, 0, -1/4, 1/4, 0, -1/4, 1/4, -1/4, -1/4, -1/4, 1/4, 0, -1/4, -1/4, 1/4, 0, 0, -1/4, -1/4, -1/4 ], [ 0, 0, -1/4, 0, -1/4, 0, -1/4, 1/4, 0, 1/4, -1/4, 1/4, -1/4, -1/4, -1/4, 0, -1/4, 1/4, 1/4, 0, 0, -1/4, -1/4, 1/4 ], [ -1/4, 1/4, 0, 1/4, 0, 1/4, 0, 0, 1/4, 0, 0, -1/2, 0, 0, -1/2, 1/4, 0, 0, 0, -1/4, 1/4, 0, 0, 0 ], [ 1/4, -1/4, 0, 1/4, 0, 1/4, 0, 0, -1/4, 0, 0, 0, 1/2, 0, 0, 1/4, 0, 0, 0, -1/4, -1/4, -1/2, 0, 0 ], [ -1/4, 1/4, 0, 1/4, 0, -1/4, 0, -1/2, -1/4, 0, 0, 0, 0, 0, 0, -1/4, 0, 0, 0, -1/4, -1/4, 0, -1/2, 0 ], [ 1/4, 1/4, -1/2, 1/4, 0, 1/4, 0, 0, -1/4, 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], [ 0, 1/4, 0, 0, 0, 0, 0, 1/4, 0, 1/4, 0, 0, 1/4, -1/4, -1/4, 1/2, -1/4, 1/4, -1/4, 0, -1/4, 0, 1/4, 1/4 ], [ -1/4, 0, 1/4, 1/4, 1/4, -1/4, 1/4, 0, 1/4, 0, 1/4, -1/4, 0, -1/2, 0, -1/4, 0, 0, 0, -1/4, 0, 1/4, 0, 0 ], [ 0, 1/4, 0, 0, 0, 0, 0, 1/4, 0, 1/4, 0, 0, -1/4, 1/4, 1/4, 0, 1/4, -1/4, 1/4, -1/2, -1/4, 0, 1/4, 1/4 ], [ 0, 1/4, 0, 0, -1/2, 0, 0, -1/4, 0, 1/4, 0, 0, -1/4, -1/4, -1/4, 0, 1/4, -1/4, -1/4, 0, 1/4, 0, -1/4, 1/4 ] ] , #### 48 ## Label: 8B_0 ## Order: 8 ## Centralizer: 6144 ## Cycles: [ [ 1, 8 ], [ 2, 116 ], [ 8, 24540 ] ] ## Trace: 0 ## Factors: [ [ 1, 4 ], [ 2, 4 ], [ 8, 4 ] ] [ [ 0, 1/4, 0, -1/4, 0, 1/4, 1/4, 0, 0, 1/4, 0, 1/4, -1/4, 0, 0, -1/4, 1/2, 1/4, 0, -1/4, 1/4, 0, 0, -1/4 ], [ 1/2, -1/4, 0, 1/4, 0, -1/4, 1/4, 0, 0, 1/4, 0, -1/4, 1/4, 0, 0, -1/4, 0, 1/4, 0, -1/4, 1/4, 0, 0, 1/4 ], [ 0, 1/4, 0, 1/4, 0, -1/4, 1/4, 0, 0, -1/4, 0, 1/4, -1/4, 0, 0, 1/4, 0, 1/4, -1/2, 1/4, 1/4, 0, 0, 1/4 ], [ 0, 1/4, 0, -1/4, 0, -1/4, -1/4, 0, 0, 1/4, 0, 1/4, 1/4, 0, 0, 1/4, 0, -1/4, 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1/4, 0, -1/4, 0, -1/4, -1/4, 0, 0, -1/4, 0, -1/4, 1/4, -1/2, 0, -1/4, 0, 1/4, 0, 1/4, 1/4, 0, 0, -1/4 ], [ -1/4, 0, -1/4, 0, 1/4, 0, 0, -1/4, -1/4, 0, 1/4, 0, 0, -1/4, 1/4, 0, -1/4, 0, -1/4, -1/2, 0, -1/4, -1/4, 0 ] ] , #### 49 ## Label: 8C_0 ## Order: 8 ## Centralizer: 12288 ## Cycles: [ [ 1, 24 ], [ 4, 54 ], [ 8, 24540 ] ] ## Trace: 4 ## Factors: [ [ 1, 4 ], [ 4, 2 ], [ 8, 4 ] ] [ [ 1/4, -1/4, 1/4, -1/4, -1/4, -1/4, 0, 0, -1/4, -1/4, 0, 0, 0, 0, 0, -1/2, 1/4, 0, 0, -1/4, 0, 1/4, 0, 1/4 ], [ -1/4, 1/4, 1/4, -1/4, -1/4, -1/4, 0, 0, -1/4, -1/4, 0, 0, 0, 0, 1/2, 0, -1/4, 0, 0, 1/4, 0, -1/4, 0, -1/4 ], [ 0, 0, 0, 1/2, 0, 0, -1/4, 1/4, 0, 0, 1/4, -1/4, -1/4, 1/4, 1/4, -1/4, 0, -1/4, -1/4, 0, 1/4, 0, -1/4, 0 ], [ 1/4, 1/4, -1/4, 1/4, -1/4, 1/4, 0, 0, -1/4, -1/4, -1/2, 0, 0, 0, 0, 0, -1/4, 0, 0, -1/4, 0, -1/4, 0, 1/4 ], [ 0, 0, 1/2, 0, 0, 0, 1/4, -1/4, 0, 0, -1/4, 1/4, -1/4, 1/4, -1/4, 1/4, 0, -1/4, -1/4, 0, 1/4, 0, -1/4, 0 ], [ 1/4, 1/4, 1/4, -1/4, 1/4, 1/4, -1/2, 0, -1/4, 1/4, 0, 0, 0, 0, 0, 0, 1/4, 0, 0, 1/4, 0, -1/4, 0, 1/4 ], [ -1/4, -1/4, 1/4, -1/4, -1/4, 1/4, 0, 0, 1/4, 1/4, 0, -1/2, 0, 0, 0, 0, -1/4, 0, 0, -1/4, 0, -1/4, 0, 1/4 ], [ 1/4, 1/4, 1/4, -1/4, 1/4, 1/4, 0, 1/2, 1/4, -1/4, 0, 0, 0, 0, 0, 0, -1/4, 0, 0, -1/4, 0, 1/4, 0, -1/4 ], [ 0, 0, 0, 0, 0, 0, -1/4, -1/4, 1/2, 0, -1/4, 1/4, -1/4, -1/4, 1/4, -1/4, 0, -1/4, 1/4, 0, 1/4, 0, 1/4, 0 ], [ -1/4, 1/4, 1/4, 1/4, 1/4, -1/4, 0, 0, -1/4, 1/4, 0, 0, 0, 0, 0, 0, -1/4, 0, 0, -1/4, 0, 1/4, 1/2, 1/4 ], [ 0, 0, 0, 0, 0, 0, 1/4, 1/4, 0, 0, 1/4, 1/4, -1/4, 1/4, -1/4, -1/4, 0, -1/4, 1/4, 0, -1/4, -1/2, 1/4, 0 ], [ -1/2, 0, 0, 0, 0, 0, -1/4, 1/4, 0, 0, -1/4, 1/4, 1/4, 1/4, -1/4, -1/4, 0, 1/4, 1/4, 0, 1/4, 0, -1/4, 0 ], [ 1/4, 1/4, -1/4, -1/4, -1/4, -1/4, 0, 0, 1/4, 1/4, 0, 0, 0, 1/2, 0, 0, -1/4, 0, 0, 1/4, 0, 1/4, 0, 1/4 ], [ 1/4, -1/4, 1/4, 1/4, -1/4, 1/4, 0, 0, -1/4, 1/4, 0, 0, 0, 0, 0, 0, -1/4, 0, 1/2, 1/4, 0, 1/4, 0, -1/4 ], [ -1/4, 1/4, 1/4, 1/4, -1/4, 1/4, 0, 0, 1/4, -1/4, 0, 0, 0, 0, 0, 0, 1/4, 0, 0, 1/4, -1/2, 1/4, 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## Label: 8C_1 ## Order: 8 ## Centralizer: 12288 ## Cycles: [ [ 2, 12 ], [ 4, 54 ], [ 8, 24540 ] ] ## Trace: -4 ## Factors: [ [ 2, 4 ], [ 4, 2 ], [ 8, 4 ] ] [ [ -1/4, 1/4, -1/4, 1/4, 1/4, 1/4, 0, 0, 1/4, 1/4, 0, 0, 0, 0, 0, 1/2, -1/4, 0, 0, 1/4, 0, -1/4, 0, -1/4 ], [ 1/4, -1/4, -1/4, 1/4, 1/4, 1/4, 0, 0, 1/4, 1/4, 0, 0, 0, 0, -1/2, 0, 1/4, 0, 0, -1/4, 0, 1/4, 0, 1/4 ], [ 0, 0, 0, -1/2, 0, 0, 1/4, -1/4, 0, 0, -1/4, 1/4, 1/4, -1/4, -1/4, 1/4, 0, 1/4, 1/4, 0, -1/4, 0, 1/4, 0 ], [ -1/4, -1/4, 1/4, -1/4, 1/4, -1/4, 0, 0, 1/4, 1/4, 1/2, 0, 0, 0, 0, 0, 1/4, 0, 0, 1/4, 0, 1/4, 0, -1/4 ], [ 0, 0, -1/2, 0, 0, 0, -1/4, 1/4, 0, 0, 1/4, -1/4, 1/4, -1/4, 1/4, -1/4, 0, 1/4, 1/4, 0, -1/4, 0, 1/4, 0 ], [ -1/4, -1/4, -1/4, 1/4, -1/4, -1/4, 1/2, 0, 1/4, -1/4, 0, 0, 0, 0, 0, 0, -1/4, 0, 0, -1/4, 0, 1/4, 0, -1/4 ], [ 1/4, 1/4, -1/4, 1/4, 1/4, -1/4, 0, 0, -1/4, -1/4, 0, 1/2, 0, 0, 0, 0, 1/4, 0, 0, 1/4, 0, 1/4, 0, -1/4 ], [ -1/4, -1/4, -1/4, 1/4, -1/4, -1/4, 0, -1/2, -1/4, 1/4, 0, 0, 0, 0, 0, 0, 1/4, 0, 0, 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], [ 0, -1/2, 0, 0, 0, 0, -1/4, 1/4, 0, 0, -1/4, 1/4, 1/4, 1/4, 1/4, 1/4, 0, -1/4, -1/4, 0, -1/4, 0, 1/4, 0 ], [ 0, 0, 0, 0, 0, 0, 1/4, 1/4, 0, 1/2, -1/4, 1/4, -1/4, -1/4, 1/4, -1/4, 0, 1/4, -1/4, 0, -1/4, 0, -1/4, 0 ], [ 0, 0, 0, 0, 0, 0, -1/4, -1/4, 0, 0, 1/4, 1/4, -1/4, 1/4, 1/4, 1/4, 0, 1/4, 1/4, -1/2, -1/4, 0, -1/4, 0 ], [ 0, 0, 0, 0, 0, 0, -1/4, -1/4, 0, 0, 1/4, 1/4, 1/4, -1/4, -1/4, -1/4, -1/2, -1/4, -1/4, 0, -1/4, 0, -1/4, 0 ], [ 0, 0, 0, 0, 1/2, 0, 1/4, -1/4, 0, 0, -1/4, -1/4, 1/4, 1/4, 1/4, -1/4, 0, -1/4, 1/4, 0, -1/4, 0, -1/4, 0 ], [ -1/4, -1/4, -1/4, -1/4, 1/4, 1/4, 0, 0, -1/4, -1/4, 0, 0, -1/2, 0, 0, 0, -1/4, 0, 0, 1/4, 0, 1/4, 0, 1/4 ], [ 0, 0, 0, 0, 0, 0, 1/4, 1/4, 0, 0, 1/4, 1/4, 1/4, -1/4, 1/4, 1/4, 0, -1/4, 1/4, 0, 1/4, 0, -1/4, 1/2 ] ] , #### 51 ## Label: 8D_0 ## Order: 8 ## Centralizer: 2048 ## Cycles: [ [ 1, 4 ], [ 2, 10 ], [ 4, 54 ], [ 8, 24540 ] ] ## Trace: 0 ## Factors: [ [ 1, 2 ], [ 2, 2 ], [ 4, 2 ], [ 8, 4 ] ] [ [ 1/4, 0, 1/4, -1/4, 0, 1/4, -1/4, 1/4, -1/4, 0, 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0, -1/4, 1/4, -1/4, -1/4, -1/4, -1/4, 0, 1/4, 1/4, 0, -1/4, 0, -1/4, 0, 1/4, 1/4, 1/4, -1/4, 1/4, 1/4, 0, 0 ], [ -1/4, -1/4, -1/2, 0, 0, 0, 0, 0, -1/4, 0, 0, -1/4, 0, 1/4, 0, 1/4, 0, 0, 0, 1/2, 0, 0, -1/4, -1/4 ] ] , #### 55 ## Label: 9A_0 ## Order: 9 ## Centralizer: 3888 ## Cycles: [ [ 3, 18 ], [ 9, 21834 ] ] ## Trace: -3 ## Factors: [ [ 3, 3 ], [ 9, 3 ] ] [ [ 0, 1/4, 0, 1/4, -1/4, 1/4, -1/2, 0, 0, 1/4, 0, -1/4, -1/4, 1/4, 0, 0, -1/4, -1/4, 0, 0, 1/4, 0, 1/4, 0 ], [ 0, -1/4, 0, 1/4, 1/4, 1/4, 0, 1/2, 0, -1/4, 0, -1/4, -1/4, -1/4, 0, 0, 1/4, -1/4, 0, 0, -1/4, 0, 1/4, 0 ], [ -1/4, 0, 1/4, 0, 1/2, 0, -1/4, -1/4, 1/4, 0, 1/4, 0, 0, 0, 1/4, 1/4, 0, 0, 1/4, -1/4, 0, -1/4, 0, 1/4 ], [ 0, 1/4, 0, -1/4, 1/4, -1/4, 0, 0, 0, -1/4, 0, -1/4, -1/4, -1/4, 0, 0, -1/4, -1/4, -1/2, 0, 1/4, 0, -1/4, 0 ], [ -1/4, 0, -1/4, 0, 0, 0, -1/4, -1/4, 1/4, 0, -1/4, 0, 0, -1/2, -1/4, -1/4, 0, 0, 1/4, 1/4, 0, 1/4, 0, 1/4 ], [ -1/2, -1/4, 0, 1/4, -1/4, -1/4, 0, 0, 0, -1/4, 0, 1/4, -1/4, 1/4, 0, 0, -1/4, -1/4, 0, 0, -1/4, 0, -1/4, 0 ], [ 0, 1/4, 0, 1/4, 1/4, 1/4, 0, 0, -1/2, 1/4, 0, 1/4, 1/4, -1/4, 0, 0, -1/4, -1/4, 0, 0, -1/4, 0, -1/4, 0 ], [ 0, -1/4, 0, 1/4, 1/4, -1/4, 0, 0, 0, 1/4, 0, 1/4, -1/4, -1/4, 0, 0, -1/4, 1/4, 0, 0, 1/4, 0, 1/4, -1/2 ], [ 1/4, -1/2, -1/4, 0, 0, 0, -1/4, -1/4, -1/4, 0, 1/4, 0, 0, 0, 1/4, -1/4, 0, 0, -1/4, -1/4, 0, 1/4, 0, 1/4 ], [ -1/4, 0, 1/4, 0, 0, 0, 1/4, -1/4, -1/4, 0, 1/4, -1/2, 0, 0, -1/4, -1/4, 0, 0, 1/4, -1/4, 0, 1/4, 0, -1/4 ], [ 0, 1/4, 0, -1/4, 1/4, -1/4, 0, 0, 0, 1/4, 0, 1/4, -1/4, 1/4, 0, -1/2, 1/4, -1/4, 0, 0, -1/4, 0, 1/4, 0 ], [ 1/4, 0, -1/4, 0, 0, 0, -1/4, 1/4, 1/4, 0, 1/4, 0, 0, 0, -1/4, -1/4, 0, 0, 1/4, -1/4, 0, -1/4, -1/2, -1/4 ], [ 0, 1/4, 0, -1/4, -1/4, 1/4, 0, 0, 0, -1/4, 1/2, 1/4, -1/4, -1/4, 0, 0, -1/4, 1/4, 0, 0, -1/4, 0, 1/4, 0 ], [ 1/4, 0, -1/4, 0, 0, 0, 1/4, -1/4, -1/4, 0, -1/4, 0, -1/2, 0, -1/4, 1/4, 0, 0, 1/4, -1/4, 0, -1/4, 0, 1/4 ], [ -1/4, 0, -1/4, -1/2, 0, 0, -1/4, 1/4, -1/4, 0, -1/4, 0, 0, 0, 1/4, 1/4, 0, 0, 1/4, -1/4, 0, 1/4, 0, -1/4 ], [ -1/4, 0, -1/4, 0, 0, 0, 1/4, 1/4, -1/4, 0, 1/4, 0, 0, 0, 1/4, -1/4, 0, 0, 1/4, 1/4, 1/2, -1/4, 0, 1/4 ], [ -1/4, 0, -1/4, 0, 0, 1/2, 1/4, -1/4, 1/4, 0, -1/4, 0, 0, 0, 1/4, -1/4, 0, 0, -1/4, -1/4, 0, -1/4, 0, -1/4 ], [ 1/4, 0, -1/4, 0, 0, 0, 1/4, -1/4, 1/4, 0, 1/4, 0, 0, 0, 1/4, 1/4, 0, -1/2, 1/4, 1/4, 0, 1/4, 0, -1/4 ], [ -1/4, 0, -1/4, 0, 0, 0, -1/4, -1/4, -1/4, 0, 1/4, 0, 0, 0, -1/4, 1/4, 1/2, 0, -1/4, 1/4, 0, -1/4, 0, -1/4 ], [ 0, 1/4, 0, 1/4, -1/4, -1/4, 0, 0, 0, -1/4, 0, 1/4, 1/4, -1/4, 0, 0, 1/4, -1/4, 0, -1/2, 1/4, 0, 1/4, 0 ], [ 0, -1/4, 0, -1/4, -1/4, -1/4, 0, 0, 0, 1/4, 0, -1/4, 1/4, -1/4, 0, 0, -1/4, -1/4, 0, 0, -1/4, -1/2, 1/4, 0 ], [ 1/4, 0, 1/4, 0, 0, 0, -1/4, -1/4, -1/4, -1/2, -1/4, 0, 0, 0, 1/4, -1/4, 0, 0, 1/4, 1/4, 0, -1/4, 0, -1/4 ], [ 0, -1/4, 1/2, -1/4, -1/4, 1/4, 0, 0, 0, 1/4, 0, 1/4, -1/4, -1/4, 0, 0, 1/4, -1/4, 0, 0, 1/4, 0, -1/4, 0 ], [ 0, 1/4, 0, 1/4, -1/4, -1/4, 0, 0, 0, 1/4, 0, -1/4, -1/4, -1/4, 1/2, 0, 1/4, 1/4, 0, 0, -1/4, 0, -1/4, 0 ] ] , #### 56 ## Label: 9A_1 ## Order: 18 ## Centralizer: 3888 ## Cycles: [ [ 6, 9 ], [ 18, 10917 ] ] ## Trace: 3 ## Factors: [ [ 6, 3 ], [ 18, 3 ] ] [ [ 0, -1/4, 0, -1/4, 1/4, -1/4, 1/2, 0, 0, -1/4, 0, 1/4, 1/4, -1/4, 0, 0, 1/4, 1/4, 0, 0, -1/4, 0, -1/4, 0 ], [ 0, 1/4, 0, -1/4, -1/4, -1/4, 0, -1/2, 0, 1/4, 0, 1/4, 1/4, 1/4, 0, 0, -1/4, 1/4, 0, 0, 1/4, 0, -1/4, 0 ], [ 1/4, 0, -1/4, 0, -1/2, 0, 1/4, 1/4, -1/4, 0, -1/4, 0, 0, 0, -1/4, -1/4, 0, 0, -1/4, 1/4, 0, 1/4, 0, -1/4 ], [ 0, -1/4, 0, 1/4, -1/4, 1/4, 0, 0, 0, 1/4, 0, 1/4, 1/4, 1/4, 0, 0, 1/4, 1/4, 1/2, 0, -1/4, 0, 1/4, 0 ], [ 1/4, 0, 1/4, 0, 0, 0, 1/4, 1/4, -1/4, 0, 1/4, 0, 0, 1/2, 1/4, 1/4, 0, 0, -1/4, -1/4, 0, -1/4, 0, -1/4 ], [ 1/2, 1/4, 0, -1/4, 1/4, 1/4, 0, 0, 0, 1/4, 0, -1/4, 1/4, -1/4, 0, 0, 1/4, 1/4, 0, 0, 1/4, 0, 1/4, 0 ], [ 0, -1/4, 0, -1/4, -1/4, -1/4, 0, 0, 1/2, -1/4, 0, -1/4, -1/4, 1/4, 0, 0, 1/4, 1/4, 0, 0, 1/4, 0, 1/4, 0 ], [ 0, 1/4, 0, -1/4, -1/4, 1/4, 0, 0, 0, -1/4, 0, -1/4, 1/4, 1/4, 0, 0, 1/4, -1/4, 0, 0, -1/4, 0, -1/4, 1/2 ], [ 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1/4, -1/4, 0, -1/4, 0, 0, 0, -1/4, -1/4, 0, 1/2, -1/4, -1/4, 0, -1/4, 0, 1/4 ], [ 1/4, 0, 1/4, 0, 0, 0, 1/4, 1/4, 1/4, 0, -1/4, 0, 0, 0, 1/4, -1/4, -1/2, 0, 1/4, -1/4, 0, 1/4, 0, 1/4 ], [ 0, -1/4, 0, -1/4, 1/4, 1/4, 0, 0, 0, 1/4, 0, -1/4, -1/4, 1/4, 0, 0, -1/4, 1/4, 0, 1/2, -1/4, 0, -1/4, 0 ], [ 0, 1/4, 0, 1/4, 1/4, 1/4, 0, 0, 0, -1/4, 0, 1/4, -1/4, 1/4, 0, 0, 1/4, 1/4, 0, 0, 1/4, 1/2, -1/4, 0 ], [ -1/4, 0, -1/4, 0, 0, 0, 1/4, 1/4, 1/4, 1/2, 1/4, 0, 0, 0, -1/4, 1/4, 0, 0, -1/4, -1/4, 0, 1/4, 0, 1/4 ], [ 0, 1/4, -1/2, 1/4, 1/4, -1/4, 0, 0, 0, -1/4, 0, -1/4, 1/4, 1/4, 0, 0, -1/4, 1/4, 0, 0, -1/4, 0, 1/4, 0 ], [ 0, -1/4, 0, -1/4, 1/4, 1/4, 0, 0, 0, -1/4, 0, 1/4, 1/4, 1/4, -1/2, 0, -1/4, -1/4, 0, 0, 1/4, 0, 1/4, 0 ] ] , #### 57 ## Label: 9B_0 ## Order: 9 ## Centralizer: 972 ## Cycles: [ [ 3, 18 ], [ 9, 21834 ] ] ## Trace: 0 ## Factors: [ [ 1, 2 ], [ 3, 2 ], [ 9, 3 ] ] [ [ -1/4, 0, 1/4, -1/4, -1/4, -1/2, 1/4, 1/4, -1/4, -1/4, 1/4, 0, 0, 0, 0, 1/4, 0, 0, 1/4, 0, 0, 0, 1/4, 0 ], [ 0, 1/4, 0, 0, 0, -1/4, -1/2, 0, 0, 0, 0, 1/4, 1/4, 1/4, 1/4, 0, 1/4, 1/4, 0, 1/4, -1/4, -1/4, 0, 1/4 ], [ -1/2, -1/4, 0, 0, 0, 1/4, 0, 0, 0, 0, 0, 1/4, -1/4, 1/4, -1/4, 0, 1/4, -1/4, 0, -1/4, -1/4, -1/4, 0, 1/4 ], [ 0, -1/4, 0, -1/2, 0, 1/4, 0, 0, 0, 0, 0, 1/4, -1/4, -1/4, 1/4, 0, 1/4, 1/4, 0, 1/4, 1/4, 1/4, 0, 1/4 ], [ 0, -1/4, 0, 0, 0, -1/4, 0, 0, 0, 0, 0, -1/4, -1/4, 1/4, 1/4, 0, 1/4, 1/4, 0, -1/4, -1/4, 1/4, -1/2, -1/4 ], [ 1/4, 0, 1/4, 1/4, 1/4, 0, 1/4, 1/4, 1/4, -1/4, -1/4, 0, 0, 0, 0, 1/4, 1/2, 0, -1/4, 0, 0, 0, 1/4, 0 ], [ -1/4, 0, 1/4, 1/4, -1/4, 0, -1/4, -1/4, 1/4, -1/4, 1/4, 0, 0, 0, 0, -1/4, 0, 0, -1/4, 0, 0, 1/2, 1/4, 0 ], [ 1/4, 0, -1/4, -1/4, -1/4, 0, -1/4, 1/4, 1/4, 1/4, 1/4, 0, 0, 0, 0, 1/4, 0, 0, -1/4, -1/2, 0, 0, 1/4, 0 ], [ -1/4, 0, -1/4, 1/4, -1/4, 0, 1/4, -1/4, -1/4, 1/4, -1/4, 0, 0, 0, 0, 1/4, 0, 1/2, -1/4, 0, 0, 0, 1/4, 0 ], [ 1/4, 0, 1/4, -1/4, 1/4, 0, 1/4, -1/4, -1/4, 1/4, 1/4, 0, 0, 0, 0, -1/4, 0, 0, -1/4, 0, -1/2, 0, 1/4, 0 ], [ 1/4, 0, 1/4, 1/4, -1/4, 0, 1/4, -1/4, 1/4, 1/4, 1/4, 0, 0, 0, 0, 1/4, 0, 0, 1/4, 0, 0, 0, -1/4, 1/2 ], [ 0, -1/4, 0, 0, 0, -1/4, 0, 0, 0, 0, 0, -1/4, -1/4, 1/4, 1/4, 0, -1/4, -1/4, -1/2, 1/4, 1/4, -1/4, 0, 1/4 ], [ 1/4, 0, 1/4, -1/4, -1/4, 0, -1/4, -1/4, -1/4, -1/4, -1/4, 0, 0, 0, -1/2, 1/4, 0, 0, -1/4, 0, 0, 0, -1/4, 0 ], [ -1/4, 0, 1/4, 1/4, 1/4, 0, -1/4, 1/4, -1/4, 1/4, 1/4, 0, 0, -1/2, 0, 1/4, 0, 0, -1/4, 0, 0, 0, -1/4, 0 ], [ 1/4, 0, -1/4, 1/4, -1/4, 0, 1/4, 1/4, -1/4, -1/4, 1/4, 1/2, 0, 0, 0, -1/4, 0, 0, -1/4, 0, 0, 0, -1/4, 0 ], [ 0, -1/4, 0, 0, 0, -1/4, 0, 0, 1/2, 0, 0, 1/4, -1/4, -1/4, -1/4, 0, -1/4, 1/4, 0, 1/4, -1/4, -1/4, 0, -1/4 ], [ 0, 1/4, -1/2, 0, 0, -1/4, 0, 0, 0, 0, 0, -1/4, -1/4, -1/4, -1/4, 0, 1/4, -1/4, 0, 1/4, -1/4, 1/4, 0, 1/4 ], [ 0, -1/4, 0, 0, 0, 1/4, 0, 1/2, 0, 0, 0, -1/4, 1/4, 1/4, -1/4, 0, -1/4, 1/4, 0, 1/4, -1/4, 1/4, 0, 1/4 ], [ 0, 1/4, 0, 0, 1/2, -1/4, 0, 0, 0, 0, 0, 1/4, -1/4, 1/4, -1/4, 0, -1/4, 1/4, 0, -1/4, 1/4, 1/4, 0, 1/4 ], [ 1/4, -1/2, -1/4, 1/4, 1/4, 0, -1/4, -1/4, -1/4, -1/4, 1/4, 0, 0, 0, 0, 1/4, 0, 0, 1/4, 0, 0, 0, 1/4, 0 ], [ 0, -1/4, 0, 0, 0, -1/4, 0, 0, 0, 1/2, 0, 1/4, 1/4, 1/4, -1/4, 0, 1/4, -1/4, 0, 1/4, 1/4, 1/4, 0, -1/4 ], [ 0, 1/4, 0, 0, 0, 1/4, 0, 0, 0, 0, 0, 1/4, -1/4, 1/4, 1/4, 1/2, -1/4, -1/4, 0, 1/4, -1/4, 1/4, 0, -1/4 ], [ 0, 1/4, 0, 0, 0, 1/4, 0, 0, 0, 0, 1/2, -1/4, -1/4, 1/4, -1/4, 0, 1/4, 1/4, 0, 1/4, 1/4, -1/4, 0, -1/4 ], [ -1/4, 0, -1/4, -1/4, 1/4, 0, 1/4, -1/4, 1/4, -1/4, 1/4, 0, 1/2, 0, 0, 1/4, 0, 0, -1/4, 0, 0, 0, -1/4, 0 ] ] , #### 58 ## Label: 9B_1 ## Order: 18 ## Centralizer: 972 ## Cycles: [ [ 6, 9 ], [ 18, 10917 ] ] ## Trace: 0 ## Factors: [ [ 2, 2 ], [ 6, 2 ], [ 18, 3 ] ] [ [ 1/4, 0, -1/4, 1/4, 1/4, 1/2, -1/4, -1/4, 1/4, 1/4, -1/4, 0, 0, 0, 0, -1/4, 0, 0, -1/4, 0, 0, 0, -1/4, 0 ], [ 0, -1/4, 0, 0, 0, 1/4, 1/2, 0, 0, 0, 0, -1/4, -1/4, -1/4, -1/4, 0, -1/4, -1/4, 0, -1/4, 1/4, 1/4, 0, -1/4 ], [ 1/2, 1/4, 0, 0, 0, -1/4, 0, 0, 0, 0, 0, -1/4, 1/4, -1/4, 1/4, 0, -1/4, 1/4, 0, 1/4, 1/4, 1/4, 0, -1/4 ], [ 0, 1/4, 0, 1/2, 0, -1/4, 0, 0, 0, 0, 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0, 0, 0, 1/2, -1/4, 0, 0, 1/4, 0, 0, 0, 1/4, 0 ], [ 1/4, 0, -1/4, -1/4, -1/4, 0, 1/4, -1/4, 1/4, -1/4, -1/4, 0, 0, 1/2, 0, -1/4, 0, 0, 1/4, 0, 0, 0, 1/4, 0 ], [ -1/4, 0, 1/4, -1/4, 1/4, 0, -1/4, -1/4, 1/4, 1/4, -1/4, -1/2, 0, 0, 0, 1/4, 0, 0, 1/4, 0, 0, 0, 1/4, 0 ], [ 0, 1/4, 0, 0, 0, 1/4, 0, 0, -1/2, 0, 0, -1/4, 1/4, 1/4, 1/4, 0, 1/4, -1/4, 0, -1/4, 1/4, 1/4, 0, 1/4 ], [ 0, -1/4, 1/2, 0, 0, 1/4, 0, 0, 0, 0, 0, 1/4, 1/4, 1/4, 1/4, 0, -1/4, 1/4, 0, -1/4, 1/4, -1/4, 0, -1/4 ], [ 0, 1/4, 0, 0, 0, -1/4, 0, -1/2, 0, 0, 0, 1/4, -1/4, -1/4, 1/4, 0, 1/4, -1/4, 0, -1/4, 1/4, -1/4, 0, -1/4 ], [ 0, -1/4, 0, 0, -1/2, 1/4, 0, 0, 0, 0, 0, -1/4, 1/4, -1/4, 1/4, 0, 1/4, -1/4, 0, 1/4, -1/4, -1/4, 0, -1/4 ], [ -1/4, 1/2, 1/4, -1/4, -1/4, 0, 1/4, 1/4, 1/4, 1/4, -1/4, 0, 0, 0, 0, -1/4, 0, 0, -1/4, 0, 0, 0, -1/4, 0 ], [ 0, 1/4, 0, 0, 0, 1/4, 0, 0, 0, -1/2, 0, -1/4, -1/4, -1/4, 1/4, 0, -1/4, 1/4, 0, -1/4, -1/4, -1/4, 0, 1/4 ], [ 0, -1/4, 0, 0, 0, -1/4, 0, 0, 0, 0, 0, -1/4, 1/4, -1/4, -1/4, -1/2, 1/4, 1/4, 0, -1/4, 1/4, -1/4, 0, 1/4 ], [ 0, -1/4, 0, 0, 0, -1/4, 0, 0, 0, 0, -1/2, 1/4, 1/4, -1/4, 1/4, 0, -1/4, -1/4, 0, -1/4, -1/4, 1/4, 0, 1/4 ], [ 1/4, 0, 1/4, 1/4, -1/4, 0, -1/4, 1/4, -1/4, 1/4, -1/4, 0, -1/2, 0, 0, -1/4, 0, 0, 1/4, 0, 0, 0, 1/4, 0 ] ] , #### 59 ## Label: 9C_0 ## Order: 9 ## Centralizer: 972 ## Cycles: [ [ 1, 18 ], [ 3, 12 ], [ 9, 21834 ] ] ## Trace: 3 ## Factors: [ [ 1, 4 ], [ 3, 1 ], [ 9, 3 ] ] [ [ -1/4, 0, 0, -1/2, 0, 0, 1/2, 1/4, 0, 0, 0, -1/4, 1/4, 0, 0, 0, 1/4, 1/4, 0, -1/4, 0, -1/4, 0, 0 ], [ 1/4, 0, 0, 0, 0, 0, 0, -1/4, 0, 1/2, 0, 1/4, 1/4, 0, 0, 0, -1/4, 1/4, -1/2, -1/4, 0, -1/4, 0, 0 ], [ 0, 1/4, 1/4, 1/4, -1/4, 1/4, 1/4, 0, -1/4, -1/4, -1/4, 0, 0, 1/4, -1/4, -1/4, 0, 0, -1/4, 0, -1/4, 0, -1/4, -1/4 ], [ 0, -1/4, 1/4, 1/4, -1/4, -1/4, 1/4, 0, 1/4, 1/4, 1/4, 0, 0, 1/4, -1/4, 1/4, 0, 0, 1/4, 0, -1/4, 0, 1/4, -1/4 ], [ 1/4, 0, 0, 0, 1/2, 0, 0, 1/4, 0, 0, 0, -1/4, -1/4, 1/2, 0, 0, -1/4, -1/4, 0, -1/4, 0, -1/4, 0, 0 ], [ 1/4, 0, 0, 0, 0, 1/2, 0, 1/4, 0, 0, 0, -1/4, 1/4, 0, 0, 0, -1/4, 1/4, 0, 1/4, 0, 1/4, 1/2, 0 ], [ 0, 1/4, -1/4, -1/4, -1/4, -1/4, -1/4, 0, 1/4, -1/4, 1/4, 0, 0, 1/4, -1/4, -1/4, 0, 0, -1/4, 0, 1/4, 0, 1/4, -1/4 ], [ 0, 1/4, 1/4, -1/4, -1/4, 1/4, -1/4, 0, 1/4, 1/4, 1/4, 0, 0, 1/4, 1/4, -1/4, 0, 0, 1/4, 0, -1/4, 0, -1/4, 1/4 ], [ -1/4, 1/2, 0, 0, 0, 0, 0, -1/4, 0, 0, 0, -1/4, -1/4, 0, 0, 1/2, -1/4, 1/4, 0, 1/4, 0, -1/4, 0, 0 ], [ 1/4, 0, -1/2, 0, 0, 0, 0, 1/4, 0, 0, 0, 1/4, -1/4, 0, 0, 0, 1/4, 1/4, 0, 1/4, -1/2, -1/4, 0, 0 ], [ 0, -1/4, -1/4, 1/4, -1/4, 1/4, 1/4, 0, 1/4, -1/4, 1/4, 0, 0, 1/4, 1/4, 1/4, 0, 0, -1/4, 0, 1/4, 0, -1/4, 1/4 ], [ 0, -1/4, 1/4, -1/4, -1/4, -1/4, -1/4, 0, -1/4, -1/4, -1/4, 0, 0, 1/4, 1/4, 1/4, 0, 0, -1/4, 0, -1/4, 0, 1/4, 1/4 ], [ 1/4, 0, 0, 0, 0, 0, 0, -1/4, 1/2, 0, -1/2, -1/4, 1/4, 0, 0, 0, 1/4, -1/4, 0, 1/4, 0, -1/4, 0, 0 ], [ -1/4, 0, 0, 0, 0, 0, 0, 1/4, 0, 0, 0, 1/4, 1/4, 0, 1/2, 0, -1/4, -1/4, 0, 1/4, 0, -1/4, 0, -1/2 ], [ 0, 1/4, 1/4, 1/4, 1/4, -1/4, 1/4, 0, 1/4, -1/4, 1/4, 0, 0, -1/4, 1/4, -1/4, 0, 0, -1/4, 0, -1/4, 0, 1/4, 1/4 ], [ 0, -1/4, 1/4, -1/4, 1/4, 1/4, -1/4, 0, 1/4, -1/4, 1/4, 0, 0, -1/4, -1/4, 1/4, 0, 0, -1/4, 0, -1/4, 0, -1/4, -1/4 ], [ 1/4, 0, 0, 0, 0, -1/2, 0, 1/4, 0, 0, 0, -1/4, 1/4, 0, 0, 0, -1/4, 1/4, 0, 1/4, 0, 1/4, -1/2, 0 ], [ -1/4, 0, 0, 1/2, 0, 0, -1/2, 1/4, 0, 0, 0, -1/4, 1/4, 0, 0, 0, 1/4, 1/4, 0, -1/4, 0, -1/4, 0, 0 ], [ -1/4, 0, 0, 0, 0, 0, 0, 1/4, 1/2, 0, -1/2, 1/4, -1/4, 0, 0, 0, -1/4, 1/4, 0, -1/4, 0, 1/4, 0, 0 ], [ -1/4, -1/2, 0, 0, 0, 0, 0, -1/4, 0, 0, 0, -1/4, -1/4, 0, 0, -1/2, -1/4, 1/4, 0, 1/4, 0, -1/4, 0, 0 ], [ -1/4, 0, 0, 0, 1/2, 0, 0, -1/4, 0, 0, 0, 1/4, 1/4, 1/2, 0, 0, 1/4, 1/4, 0, 1/4, 0, 1/4, 0, 0 ], [ -1/4, 0, 0, 0, 0, 0, 0, 1/4, 0, 1/2, 0, -1/4, -1/4, 0, 0, 0, 1/4, -1/4, -1/2, 1/4, 0, 1/4, 0, 0 ], [ -1/4, 0, -1/2, 0, 0, 0, 0, -1/4, 0, 0, 0, -1/4, 1/4, 0, 0, 0, -1/4, -1/4, 0, -1/4, -1/2, 1/4, 0, 0 ], [ -1/4, 0, 0, 0, 0, 0, 0, 1/4, 0, 0, 0, 1/4, 1/4, 0, -1/2, 0, -1/4, -1/4, 0, 1/4, 0, -1/4, 0, 1/2 ] ] , #### 60 ## Label: 9C_1 ## Order: 18 ## Centralizer: 972 ## Cycles: [ [ 2, 9 ], [ 6, 6 ], [ 18, 10917 ] ] ## Trace: -3 ## Factors: [ [ 2, 4 ], [ 6, 1 ], [ 18, 3 ] ] [ [ 1/4, 0, 0, 1/2, 0, 0, -1/2, -1/4, 0, 0, 0, 1/4, -1/4, 0, 0, 0, -1/4, -1/4, 0, 1/4, 0, 1/4, 0, 0 ], [ -1/4, 0, 0, 0, 0, 0, 0, 1/4, 0, -1/2, 0, -1/4, -1/4, 0, 0, 0, 1/4, -1/4, 1/2, 1/4, 0, 1/4, 0, 0 ], [ 0, -1/4, -1/4, -1/4, 1/4, -1/4, -1/4, 0, 1/4, 1/4, 1/4, 0, 0, -1/4, 1/4, 1/4, 0, 0, 1/4, 0, 1/4, 0, 1/4, 1/4 ], [ 0, 1/4, -1/4, -1/4, 1/4, 1/4, -1/4, 0, -1/4, -1/4, -1/4, 0, 0, -1/4, 1/4, -1/4, 0, 0, -1/4, 0, 1/4, 0, -1/4, 1/4 ], [ -1/4, 0, 0, 0, -1/2, 0, 0, -1/4, 0, 0, 0, 1/4, 1/4, -1/2, 0, 0, 1/4, 1/4, 0, 1/4, 0, 1/4, 0, 0 ], [ -1/4, 0, 0, 0, 0, -1/2, 0, -1/4, 0, 0, 0, 1/4, -1/4, 0, 0, 0, 1/4, -1/4, 0, -1/4, 0, -1/4, -1/2, 0 ], [ 0, -1/4, 1/4, 1/4, 1/4, 1/4, 1/4, 0, -1/4, 1/4, -1/4, 0, 0, -1/4, 1/4, 1/4, 0, 0, 1/4, 0, -1/4, 0, -1/4, 1/4 ], [ 0, -1/4, -1/4, 1/4, 1/4, -1/4, 1/4, 0, -1/4, -1/4, -1/4, 0, 0, -1/4, -1/4, 1/4, 0, 0, -1/4, 0, 1/4, 0, 1/4, -1/4 ], 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-1/4, 0, 0, 0, 1/4, -1/4, 0, 0, 0, -1/4, -1/4, 0, 1/4, 0, 1/4, 0, 0 ], [ 1/4, 0, 0, 0, 0, 0, 0, -1/4, -1/2, 0, 1/2, -1/4, 1/4, 0, 0, 0, 1/4, -1/4, 0, 1/4, 0, -1/4, 0, 0 ], [ 1/4, 1/2, 0, 0, 0, 0, 0, 1/4, 0, 0, 0, 1/4, 1/4, 0, 0, 1/2, 1/4, -1/4, 0, -1/4, 0, 1/4, 0, 0 ], [ 1/4, 0, 0, 0, -1/2, 0, 0, 1/4, 0, 0, 0, -1/4, -1/4, -1/2, 0, 0, -1/4, -1/4, 0, -1/4, 0, -1/4, 0, 0 ], [ 1/4, 0, 0, 0, 0, 0, 0, -1/4, 0, -1/2, 0, 1/4, 1/4, 0, 0, 0, -1/4, 1/4, 1/2, -1/4, 0, -1/4, 0, 0 ], [ 1/4, 0, 1/2, 0, 0, 0, 0, 1/4, 0, 0, 0, 1/4, -1/4, 0, 0, 0, 1/4, 1/4, 0, 1/4, 1/2, -1/4, 0, 0 ], [ 1/4, 0, 0, 0, 0, 0, 0, -1/4, 0, 0, 0, -1/4, -1/4, 0, 1/2, 0, 1/4, 1/4, 0, -1/4, 0, 1/4, 0, -1/2 ] ] , #### 61 ## Label: 10A_0 ## Order: 10 ## Centralizer: 19200 ## Cycles: [ [ 5, 864 ], [ 10, 19224 ] ] ## Trace: -2 ## Factors: [ [ 5, 4 ], [ 10, 2 ] ] [ [ -3/8, -1/8, -1/8, 1/8, -1/8, -1/8, 3/8, -1/8, -1/8, 3/8, -1/8, -1/8, -1/8, 1/8, 1/8, 3/8, -1/8, 1/8, -1/8, 1/8, 1/8, -3/8, -1/8, -1/8 ], [ -1/8, 1/8, -3/8, -1/8, -3/8, 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3/8, -1/8, 1/8, -1/8, -3/8, 1/8, 1/8, -1/8, -1/8 ], [ 1/8, -1/8, -1/8, 1/8, 3/8, -1/8, 3/8, -1/8, -1/8, -1/8, -1/8, -1/8, 3/8, 1/8, -3/8, -1/8, -1/8, -3/8, -1/8, 1/8, 1/8, 1/8, -1/8, -1/8 ], [ 1/8, -1/8, -1/8, 1/8, -1/8, 3/8, -1/8, 3/8, -1/8, -1/8, -1/8, -1/8, -1/8, -3/8, 1/8, 3/8, -1/8, -3/8, -1/8, 1/8, 1/8, 1/8, -1/8, -1/8 ], [ 1/8, 3/8, 3/8, 1/8, -1/8, -1/8, -1/8, -1/8, -1/8, -1/8, -1/8, -1/8, 3/8, 1/8, 1/8, 3/8, 3/8, 1/8, -1/8, 1/8, 1/8, 1/8, -1/8, -1/8 ], [ -3/8, -1/8, 3/8, 1/8, -1/8, -1/8, -1/8, -1/8, 3/8, -1/8, 3/8, -1/8, -1/8, 1/8, 1/8, -1/8, -1/8, -3/8, -1/8, 1/8, 1/8, 1/8, -1/8, -1/8 ], [ -1/8, 1/8, 1/8, -1/8, 1/8, 1/8, 1/8, 1/8, 1/8, 1/8, 1/8, 1/8, 1/8, -1/8, -1/8, 1/8, 1/8, -1/8, -3/8, -1/8, -1/8, -1/8, 5/8, -3/8 ], [ -1/8, 1/8, 1/8, 3/8, 1/8, -3/8, 1/8, 1/8, 1/8, 1/8, -3/8, 1/8, -3/8, -1/8, -1/8, 1/8, 1/8, -1/8, 1/8, -1/8, -1/8, 3/8, 1/8, 1/8 ], [ 1/8, -1/8, 3/8, 1/8, -1/8, 3/8, -1/8, -1/8, -1/8, 3/8, -1/8, -1/8, -1/8, 1/8, -3/8, -1/8, -1/8, 1/8, -1/8, 1/8, -3/8, 1/8, -1/8, -1/8 ], [ 1/8, -1/8, 3/8, -3/8, -1/8, -1/8, 3/8, 3/8, -1/8, -1/8, -1/8, -1/8, -1/8, 1/8, 1/8, -1/8, -1/8, 1/8, -1/8, -3/8, 1/8, 1/8, -1/8, -1/8 ], [ -1/8, 1/8, 1/8, 3/8, -3/8, 1/8, 1/8, 1/8, -3/8, 1/8, 1/8, 1/8, 1/8, -1/8, -1/8, -3/8, 1/8, -1/8, 1/8, -1/8, 3/8, -1/8, 1/8, 1/8 ], [ -1/8, -3/8, 1/8, -1/8, 1/8, 1/8, -3/8, 1/8, 1/8, 1/8, -3/8, 1/8, 1/8, 3/8, -1/8, 1/8, 1/8, -1/8, 1/8, -1/8, 3/8, -1/8, 1/8, 1/8 ], [ 1/8, -1/8, -1/8, 1/8, -1/8, 3/8, 3/8, -1/8, 3/8, -1/8, -1/8, 3/8, -1/8, 1/8, 1/8, -1/8, 3/8, 1/8, -1/8, 1/8, 1/8, 1/8, -1/8, -1/8 ], [ -3/8, -1/8, -1/8, 1/8, -1/8, -1/8, -1/8, 3/8, -1/8, -1/8, -1/8, 3/8, 3/8, 1/8, 1/8, -1/8, -1/8, 1/8, -1/8, 1/8, -3/8, 1/8, -1/8, -1/8 ], [ 1/8, -1/8, -1/8, 1/8, -1/8, -1/8, -1/8, -1/8, -1/8, -1/8, -1/8, -1/8, -1/8, 1/8, 1/8, -1/8, -1/8, 1/8, 3/8, 1/8, 1/8, 1/8, 3/8, -5/8 ], [ 1/8, 3/8, -1/8, 1/8, -1/8, -1/8, -1/8, 3/8, 3/8, -1/8, -1/8, -1/8, -1/8, 1/8, -3/8, -1/8, -1/8, 1/8, -1/8, 1/8, 1/8, -3/8, -1/8, -1/8 ], [ 1/8, 3/8, -1/8, -3/8, -1/8, -1/8, -1/8, -1/8, -1/8, 3/8, -1/8, 3/8, -1/8, 1/8, 1/8, -1/8, -1/8, -3/8, -1/8, 1/8, 1/8, 1/8, -1/8, -1/8 ] ] , #### 62 ## Label: 10A_1 ## Order: 10 ## Centralizer: 19200 ## Cycles: [ [ 5, 48 ], [ 10, 19632 ] ] ## Trace: 2 ## Factors: [ [ 5, 2 ], [ 10, 4 ] ] [ [ 3/8, 1/8, 1/8, -1/8, 1/8, 1/8, -3/8, 1/8, 1/8, -3/8, 1/8, 1/8, 1/8, -1/8, -1/8, -3/8, 1/8, -1/8, 1/8, -1/8, -1/8, 3/8, 1/8, 1/8 ], [ 1/8, -1/8, 3/8, 1/8, 3/8, -1/8, -1/8, -1/8, -1/8, -1/8, -1/8, 3/8, -1/8, -3/8, 1/8, -1/8, -1/8, 1/8, -1/8, 1/8, 1/8, -3/8, -1/8, -1/8 ], [ 3/8, -3/8, 1/8, -1/8, -3/8, -3/8, 1/8, 1/8, 1/8, 1/8, 1/8, 1/8, 1/8, -1/8, -1/8, 1/8, 1/8, -1/8, 1/8, 3/8, -1/8, -1/8, 1/8, 1/8 ], [ 1/8, -1/8, -1/8, 1/8, 3/8, -1/8, -1/8, 3/8, -1/8, 3/8, 3/8, -1/8, -1/8, 1/8, 1/8, -1/8, 3/8, 1/8, -1/8, 1/8, 1/8, 1/8, -1/8, -1/8 ], [ -1/8, 1/8, 1/8, -1/8, 1/8, 1/8, 1/8, 1/8, 1/8, 1/8, 1/8, 1/8, 1/8, -1/8, -1/8, 1/8, 1/8, -1/8, 5/8, -1/8, -1/8, -1/8, -3/8, -3/8 ], [ -1/8, 1/8, 1/8, -1/8, 1/8, 1/8, 1/8, 1/8, -3/8, -3/8, 1/8, 1/8, 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-1/8, 1/8, 1/8, 1/8, -3/8, 1/8, 1/8, 1/8, -3/8, -3/8, -1/8, -1/8, 1/8, 1/8, -1/8, 1/8, -1/8, 3/8, -1/8, 1/8, 1/8 ], [ -1/8, 1/8, 1/8, -1/8, 1/8, 1/8, 1/8, 1/8, 1/8, 1/8, 1/8, 1/8, 1/8, -1/8, -1/8, 1/8, 1/8, -1/8, -3/8, -1/8, -1/8, -1/8, -3/8, 5/8 ], [ -1/8, -3/8, 1/8, -1/8, 1/8, 1/8, 1/8, -3/8, -3/8, 1/8, 1/8, 1/8, 1/8, -1/8, 3/8, 1/8, 1/8, -1/8, 1/8, -1/8, -1/8, 3/8, 1/8, 1/8 ], [ -1/8, -3/8, 1/8, 3/8, 1/8, 1/8, 1/8, 1/8, 1/8, -3/8, 1/8, -3/8, 1/8, -1/8, -1/8, 1/8, 1/8, 3/8, 1/8, -1/8, -1/8, -1/8, 1/8, 1/8 ] ] , #### 63 ## Label: 10B_0 ## Order: 20 ## Centralizer: 1200 ## Cycles: [ [ 20, 9828 ] ] ## Trace: 0 ## Factors: [ [ 20, 3 ] ] [ [ -1/4, 1/4, 1/4, -1/4, 0, -1/4, 0, -1/4, -1/4, 1/2, 0, -1/4, 0, 0, 1/4, -1/4, 0, 0, 0, 0, 0, 1/4, 0, 1/4 ], [ 1/4, -1/4, 1/4, -1/4, 0, -1/4, -1/2, 1/4, 1/4, 0, 0, -1/4, 0, 0, -1/4, 1/4, 0, 0, 0, 0, 0, 1/4, 0, 1/4 ], [ 0, 0, -1/2, 0, 1/4, 0, -1/4, 0, 0, 1/4, 1/4, 0, 1/4, 1/4, 0, 0, 1/4, -1/4, 1/4, 1/4, -1/4, 0, 1/4, 0 ], [ 0, 0, 0, 0, -1/4, 0, -1/4, 0, 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1/4, 1/4, 0, 1/4, 0 ], [ -1/4, -1/4, 1/4, 1/4, 0, 1/4, 0, 1/4, -1/4, 0, 0, 1/4, 0, 1/2, 1/4, 1/4, 0, 0, 0, 0, 0, 1/4, 0, 1/4 ], [ 0, 1/2, 0, 0, 1/4, 0, -1/4, 0, 0, -1/4, -1/4, 0, 1/4, 1/4, 0, 0, -1/4, 1/4, 1/4, 1/4, 1/4, 0, -1/4, 0 ] ] , #### 64 ## Label: 10C_0 ## Order: 20 ## Centralizer: 1200 ## Cycles: [ [ 4, 30 ], [ 20, 9822 ] ] ## Trace: 0 ## Factors: [ [ 4, 4 ], [ 20, 2 ] ] [ [ 0, -1/4, 1/4, 0, 0, 1/4, -1/2, -1/4, -1/4, 0, -1/4, 0, 0, 1/4, -1/4, 0, 0, 1/4, -1/4, 0, -1/4, 0, 1/4, 0 ], [ -1/4, 0, 0, -1/4, 1/4, 0, -1/4, 0, 0, -1/4, 0, 1/4, 1/4, 0, 0, 1/4, 1/4, 0, 1/2, -1/4, 0, -1/4, 0, -1/4 ], [ -1/4, 0, 0, -1/4, -1/4, 0, -1/4, 1/2, 0, -1/4, 0, 1/4, -1/4, 0, 0, -1/4, 1/4, 0, 0, 1/4, 0, 1/4, 0, 1/4 ], [ -1/4, 0, 0, 1/4, -1/4, 0, -1/4, 0, 0, -1/4, 0, -1/4, -1/4, 0, 0, 1/4, -1/4, 0, 0, 1/4, 0, -1/4, -1/2, -1/4 ], [ 0, -1/4, -1/4, 0, 0, -1/4, 0, 1/4, -1/4, 0, -1/4, -1/2, 0, -1/4, -1/4, 0, 0, 1/4, 1/4, 0, 1/4, 0, 1/4, 0 ], [ 0, -1/4, -1/4, 0, 0, 1/4, 0, -1/4, 1/4, 0, -1/4, 0, 0, -1/4, 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Label: 10D_0 ## Order: 10 ## Centralizer: 1200 ## Cycles: [ [ 2, 60 ], [ 5, 864 ], [ 10, 19212 ] ] ## Trace: -2 ## Factors: [ [ 1, 4 ], [ 2, 4 ], [ 5, 3 ], [ 10, 1 ] ] [ [ -3/8, -1/8, -3/8, -1/8, -3/8, -1/8, -1/8, 1/8, 1/8, -1/8, -1/8, 1/8, -1/8, 1/8, -1/8, 1/8, -3/8, -1/8, -1/8, -3/8, -1/8, 1/8, -1/8, 1/8 ], [ -1/8, -3/8, -1/8, 1/8, -1/8, 1/8, 1/8, -1/8, -1/8, -3/8, 1/8, -1/8, 1/8, -1/8, -3/8, -1/8, 3/8, 1/8, 1/8, -1/8, -3/8, -1/8, 1/8, -1/8 ], [ 1/8, -1/8, 1/8, -1/8, 1/8, 3/8, -1/8, 1/8, 1/8, -1/8, -1/8, 1/8, -5/8, 1/8, -1/8, -3/8, 1/8, -1/8, -1/8, 1/8, -1/8, 1/8, -1/8, 1/8 ], [ 1/8, -1/8, 1/8, -1/8, 1/8, -1/8, -1/8, -3/8, 1/8, -1/8, 3/8, -3/8, -1/8, 1/8, -1/8, 1/8, -3/8, -1/8, 3/8, 1/8, -1/8, 1/8, -1/8, 1/8 ], [ 1/8, -1/8, 1/8, -1/8, 1/8, 3/8, -1/8, 1/8, 1/8, -1/8, -1/8, 1/8, 3/8, 1/8, -1/8, 5/8, 1/8, -1/8, -1/8, 1/8, -1/8, 1/8, -1/8, 1/8 ], [ -1/8, 1/8, -1/8, -3/8, -1/8, 1/8, 1/8, -1/8, 3/8, 1/8, 1/8, -1/8, 1/8, 3/8, 1/8, -1/8, 3/8, 1/8, 1/8, -1/8, 1/8, -1/8, -3/8, -1/8 ], [ -1/8, 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-1/8, -3/8, -1/8, 1/8, -1/8 ], [ 1/8, -1/8, 1/8, -1/8, -3/8, -1/8, -1/8, 1/8, -3/8, -1/8, 3/8, 1/8, -1/8, 1/8, -1/8, 1/8, 1/8, -1/8, -1/8, 1/8, 3/8, -3/8, -1/8, 1/8 ], [ -3/8, -1/8, 1/8, 3/8, 1/8, -1/8, 3/8, 1/8, 1/8, 3/8, 3/8, 1/8, -1/8, 1/8, -1/8, 1/8, 1/8, -1/8, -1/8, 1/8, -1/8, 1/8, -1/8, 1/8 ], [ 1/8, -1/8, 1/8, -1/8, -3/8, -1/8, -1/8, 1/8, 1/8, 3/8, -1/8, -3/8, -1/8, 1/8, -1/8, 1/8, 1/8, -1/8, -1/8, 1/8, -1/8, 1/8, 3/8, -3/8 ] ] , #### 66 ## Label: 10D_1 ## Order: 10 ## Centralizer: 1200 ## Cycles: [ [ 1, 20 ], [ 2, 50 ], [ 5, 44 ], [ 10, 19622 ] ] ## Trace: 2 ## Factors: [ [ 1, 4 ], [ 2, 4 ], [ 5, 1 ], [ 10, 3 ] ] [ [ 3/8, 1/8, 3/8, 1/8, 3/8, 1/8, 1/8, -1/8, -1/8, 1/8, 1/8, -1/8, 1/8, -1/8, 1/8, -1/8, 3/8, 1/8, 1/8, 3/8, 1/8, -1/8, 1/8, -1/8 ], [ 1/8, 3/8, 1/8, -1/8, 1/8, -1/8, -1/8, 1/8, 1/8, 3/8, -1/8, 1/8, -1/8, 1/8, 3/8, 1/8, -3/8, -1/8, -1/8, 1/8, 3/8, 1/8, -1/8, 1/8 ], [ -1/8, 1/8, -1/8, 1/8, -1/8, -3/8, 1/8, -1/8, -1/8, 1/8, 1/8, -1/8, 5/8, -1/8, 1/8, 3/8, -1/8, 1/8, 1/8, 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-1/4, 0, -1/4, 0, 0, 0, 1/4, 0, 1/4, 1/4, 0, 1/4, -1/4, 1/4, -1/4, 0, 1/4, 1/4 ] ] , #### 70 ## Label: 11A_0 ## Order: 11 ## Centralizer: 132 ## Cycles: [ [ 1, 12 ], [ 11, 17868 ] ] ## Trace: 2 ## Factors: [ [ 1, 4 ], [ 11, 2 ] ] [ [ 1/4, 0, 1/4, 0, 0, 0, 0, 1/2, 1/4, 0, 1/4, 0, -1/4, -1/4, 1/4, -1/4, -1/4, 0, 0, 1/4, 0, 0, 1/4, -1/4 ], [ 0, -1/4, 0, -1/4, 1/4, 1/4, 1/4, -1/4, 0, 1/4, 0, 1/4, -1/2, 0, 0, 0, 0, -1/4, 1/4, 0, -1/4, 1/4, 0, 0 ], [ 1/4, 0, 1/4, 0, 0, 0, 1/2, 0, -1/4, 0, -1/4, 0, 1/4, -1/4, 1/4, 1/4, -1/4, 0, 0, 1/4, 0, 0, -1/4, 1/4 ], [ 0, 1/4, 0, 1/4, -1/4, 1/4, -1/4, -1/4, 0, -1/4, 0, -1/4, 0, 0, 1/2, 0, 0, -1/4, 1/4, 0, -1/4, 1/4, 0, 0 ], [ 0, 1/4, 0, -1/4, 1/4, -1/4, -1/4, 1/4, 0, -1/4, 0, 1/4, 0, 0, 0, 0, 0, -1/4, -1/4, 0, -1/4, 1/4, 0, 1/2 ], [ -1/4, 0, -1/4, -1/2, 0, 0, 0, 0, 1/4, 0, -1/4, 0, 1/4, -1/4, 1/4, -1/4, 1/4, 0, 0, 1/4, 0, 0, -1/4, -1/4 ], [ -1/4, 0, 1/4, 0, 0, 0, 0, 0, 1/4, 0, -1/4, 0, -1/4, 1/4, 1/4, -1/4, -1/4, 0, 0, -1/4, 0, -1/2, -1/4, 1/4 ], [ -1/2, 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-1/8, -1/8, -1/8, -1/8, 3/8, -3/8 ] ] , #### 73 ## Label: 12A_1 ## Order: 12 ## Centralizer: 276480 ## Cycles: [ [ 6, 40 ], [ 12, 16360 ] ] ## Trace: 4 ## Factors: [ [ 6, 4 ], [ 12, 4 ] ] [ [ -1/8, -1/8, 1/8, -1/8, -1/8, 1/8, 1/8, 1/8, -1/8, 1/8, 1/8, 1/8, 1/8, 1/8, -1/8, -3/8, 3/8, 1/8, -1/8, 3/8, -1/8, 3/8, -1/8, -3/8 ], [ -1/8, -1/8, 1/8, 3/8, -1/8, -3/8, 1/8, 1/8, -1/8, -3/8, 1/8, 1/8, 1/8, 1/8, -1/8, 1/8, -1/8, 1/8, 3/8, -1/8, -1/8, 3/8, -1/8, 1/8 ], [ 1/8, 1/8, -1/8, 1/8, -3/8, 3/8, -1/8, -1/8, 1/8, -1/8, 3/8, 3/8, -1/8, -1/8, 1/8, 3/8, 1/8, -1/8, 1/8, 1/8, 1/8, 1/8, 1/8, -1/8 ], [ 1/8, 1/8, -1/8, 1/8, 1/8, -1/8, -1/8, -1/8, -3/8, -1/8, -1/8, 3/8, 3/8, -1/8, 1/8, -1/8, 1/8, -1/8, 1/8, 1/8, -3/8, -3/8, 1/8, -1/8 ], [ -3/8, -3/8, -1/8, 1/8, 1/8, -1/8, -1/8, -1/8, 1/8, -1/8, -1/8, -1/8, -1/8, -1/8, 5/8, -1/8, 1/8, -1/8, 1/8, 1/8, 1/8, 1/8, 1/8, -1/8 ], [ 1/8, 1/8, 3/8, -3/8, 1/8, -1/8, -1/8, -1/8, 1/8, -1/8, -1/8, -1/8, 3/8, 3/8, 1/8, 3/8, 1/8, -1/8, 1/8, 1/8, 1/8, 1/8, 1/8, -1/8 ], 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-1/8, 3/8, -1/8, -1/8, 1/8 ], [ -1/8, -1/8, 1/8, -1/8, 3/8, 1/8, -3/8, 1/8, -1/8, 1/8, 1/8, 1/8, 1/8, -3/8, -1/8, 1/8, -1/8, 1/8, -1/8, -1/8, -1/8, 3/8, 3/8, 1/8 ], [ 1/8, 1/8, -1/8, 1/8, 1/8, -1/8, -1/8, -1/8, -3/8, -1/8, 3/8, -1/8, -1/8, 3/8, 1/8, -1/8, 1/8, -1/8, -3/8, -3/8, 1/8, 1/8, 1/8, -1/8 ], [ 1/8, 1/8, -1/8, 1/8, 1/8, -1/8, -1/8, -1/8, 1/8, 3/8, 3/8, -1/8, 3/8, -1/8, 1/8, -1/8, 1/8, -1/8, 1/8, 1/8, 1/8, 1/8, -3/8, 3/8 ] ] , #### 74 ## Label: 12B_0 ## Order: 12 ## Centralizer: 9216 ## Cycles: [ [ 3, 8 ], [ 6, 36 ], [ 12, 16360 ] ] ## Trace: 0 ## Factors: [ [ 3, 2 ], [ 6, 2 ], [ 12, 4 ] ] [ [ 1/8, -1/8, -1/8, -1/8, -1/8, -1/8, -1/8, 1/8, 1/8, -3/8, 3/8, 1/8, -1/8, 1/8, 3/8, -1/8, -1/8, -1/8, -1/8, -3/8, 1/8, 3/8, -1/8, -1/8 ], [ -1/8, 1/8, 1/8, 1/8, 1/8, 1/8, 1/8, -1/8, -1/8, -1/8, 1/8, -1/8, 1/8, 3/8, 1/8, 1/8, 1/8, -3/8, -3/8, 3/8, -1/8, 1/8, -3/8, 1/8 ], [ -1/8, -3/8, 1/8, 1/8, 1/8, 1/8, 1/8, 3/8, -1/8, -1/8, -3/8, -1/8, -3/8, 3/8, 1/8, 1/8, 1/8, 1/8, 1/8, -1/8, -1/8, 1/8, 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], [ -1/8, 3/8, -1/8, 3/8, -1/8, 3/8, -1/8, -1/8, 1/8, 1/8, -1/8, -1/8, 1/8, 1/8, -1/8, -1/8, 1/8, 1/8, -1/8, 3/8, 1/8, 1/8, -1/8, 3/8 ], [ -1/8, -1/8, 3/8, -1/8, 3/8, 3/8, -1/8, -1/8, 1/8, 1/8, -1/8, 3/8, 1/8, 1/8, -1/8, 3/8, 1/8, 1/8, -1/8, -1/8, 1/8, 1/8, -1/8, -1/8 ], [ 1/8, 1/8, 1/8, 1/8, 1/8, -3/8, 1/8, 1/8, 3/8, -1/8, -3/8, 1/8, -1/8, -1/8, 1/8, 1/8, 3/8, -1/8, 1/8, 1/8, -1/8, -1/8, -3/8, 1/8 ], [ 3/8, 3/8, 3/8, -1/8, -1/8, -1/8, -1/8, -1/8, 1/8, 1/8, 3/8, -1/8, 1/8, 1/8, 3/8, -1/8, 1/8, 1/8, -1/8, -1/8, 1/8, 1/8, -1/8, -1/8 ] ] , #### 78 ## Label: 12E_0 ## Order: 12 ## Centralizer: 3456 ## Cycles: [ [ 1, 12 ], [ 3, 76 ], [ 4, 186 ], [ 12, 16298 ] ] ## Trace: 2 ## Factors: [ [ 1, 4 ], [ 3, 2 ], [ 4, 4 ], [ 12, 2 ] ] [ [ 0, -1/2, 1/4, 0, -1/4, 1/4, 0, 1/4, -1/4, 0, 0, 0, -1/4, 0, 0, 0, 1/2, 0, 1/4, 0, 0, 0, -1/4, 0 ], [ 0, 0, -1/4, 0, -1/4, 1/4, 1/2, -1/4, 1/4, 0, 1/2, 0, -1/4, 0, 0, 0, 0, 0, -1/4, 0, 0, 0, -1/4, 0 ], [ 1/2, 0, 1/4, 0, 1/4, 1/4, 0, -1/4, -1/4, 0, 0, 0, 1/4, 0, -1/2, 0, 0, 0, -1/4, 0, 0, 0, -1/4, 0 ], [ 0, 0, 1/4, 0, 1/4, -1/4, 1/2, 1/4, -1/4, 0, 1/2, 0, 1/4, 0, 0, 0, 0, 0, 1/4, 0, 0, 0, 1/4, 0 ], [ 0, 0, -1/4, 0, 1/4, 1/4, 0, -1/4, -1/4, 0, 0, 0, -1/4, 0, 0, 0, 0, 0, 1/4, -1/2, 0, 1/2, 1/4, 0 ], [ 1/4, -1/4, 0, -1/4, 0, 0, 1/4, 0, 0, -1/4, -1/4, 1/4, 0, 1/4, 1/4, 1/4, -1/4, -1/4, 0, 1/4, 1/4, 1/4, 0, 1/4 ], [ -1/4, 1/4, 0, -1/4, 0, 0, 1/4, 0, 0, -1/4, -1/4, 1/4, 0, 1/4, -1/4, -1/4, 1/4, -1/4, 0, -1/4, 1/4, -1/4, 0, -1/4 ], [ 0, 0, 1/4, 0, 1/4, -1/4, 0, -1/4, 1/4, 0, 0, 0, -1/4, 0, 0, 1/2, 0, 0, 1/4, 0, 0, 0, -1/4, -1/2 ], [ -1/4, -1/4, 0, 1/4, 0, 0, 1/4, 0, 0, 1/4, -1/4, -1/4, 0, 1/4, -1/4, -1/4, -1/4, -1/4, 0, 1/4, -1/4, 1/4, 0, -1/4 ], [ 0, 0, -1/4, 0, -1/4, -1/4, 0, -1/4, -1/4, 0, 0, 0, 1/4, -1/2, 0, 0, 0, -1/2, 1/4, 0, 0, 0, -1/4, 0 ], [ 0, 0, 1/4, 0, -1/4, 1/4, 0, -1/4, 1/4, 1/2, 0, 1/2, 1/4, 0, 0, 0, 0, 0, 1/4, 0, 0, 0, 1/4, 0 ], [ 1/4, 1/4, 0, 1/4, 0, 0, 1/4, 0, 0, -1/4, -1/4, 1/4, 0, -1/4, 1/4, -1/4, 1/4, 1/4, 0, 1/4, -1/4, 1/4, 0, 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-1/4, 0, -1/4, -1/4, 1/4, 1/4, 1/4, 0, 1/4, 1/4, 1/4, 0, 1/4 ], [ 0, 0, 1/4, 0, -1/4, -1/4, 0, 1/4, 1/4, 0, 0, 0, 1/4, 0, 0, 0, 0, 0, -1/4, -1/2, 0, 1/2, -1/4, 0 ], [ 0, 0, 1/4, 0, 1/4, -1/4, 0, -1/4, 1/4, 0, 0, 0, -1/4, 0, 0, -1/2, 0, 0, 1/4, 0, 0, 0, -1/4, 1/2 ] ] , #### 79 ## Label: 12E_1 ## Order: 12 ## Centralizer: 3456 ## Cycles: [ [ 2, 6 ], [ 4, 186 ], [ 6, 38 ], [ 12, 16298 ] ] ## Trace: -2 ## Factors: [ [ 2, 4 ], [ 4, 4 ], [ 6, 2 ], [ 12, 2 ] ] [ [ 0, 1/2, -1/4, 0, 1/4, -1/4, 0, -1/4, 1/4, 0, 0, 0, 1/4, 0, 0, 0, -1/2, 0, -1/4, 0, 0, 0, 1/4, 0 ], [ 0, 0, 1/4, 0, 1/4, -1/4, -1/2, 1/4, -1/4, 0, -1/2, 0, 1/4, 0, 0, 0, 0, 0, 1/4, 0, 0, 0, 1/4, 0 ], [ -1/2, 0, -1/4, 0, -1/4, -1/4, 0, 1/4, 1/4, 0, 0, 0, -1/4, 0, 1/2, 0, 0, 0, 1/4, 0, 0, 0, 1/4, 0 ], [ 0, 0, -1/4, 0, -1/4, 1/4, -1/2, -1/4, 1/4, 0, -1/2, 0, -1/4, 0, 0, 0, 0, 0, -1/4, 0, 0, 0, -1/4, 0 ], [ 0, 0, 1/4, 0, -1/4, -1/4, 0, 1/4, 1/4, 0, 0, 0, 1/4, 0, 0, 0, 0, 0, -1/4, 1/2, 0, -1/2, -1/4, 0 ], [ -1/4, 1/4, 0, 1/4, 0, 0, -1/4, 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0, -1/2, 0, 0, 0, 1/4, 0, 0, 0, 1/4, 0 ], [ 0, 1/2, 1/4, 0, -1/4, 1/4, 0, 1/4, -1/4, 0, 0, 0, -1/4, 0, 0, 0, -1/2, 0, 1/4, 0, 0, 0, -1/4, 0 ], [ 0, 0, -1/4, 0, -1/4, -1/4, 0, -1/4, -1/4, 0, 0, 0, 1/4, 1/2, 0, 0, 0, 1/2, 1/4, 0, 0, 0, -1/4, 0 ], [ -1/4, -1/4, 0, -1/4, 0, 0, -1/4, 0, 0, -1/4, 1/4, 1/4, 0, -1/4, -1/4, -1/4, -1/4, 1/4, 0, 1/4, 1/4, 1/4, 0, -1/4 ], [ 0, 0, -1/4, 0, 1/4, -1/4, 0, 1/4, -1/4, 1/2, 0, 1/2, -1/4, 0, 0, 0, 0, 0, -1/4, 0, 0, 0, -1/4, 0 ], [ -1/4, -1/4, 0, 1/4, 0, 0, 1/4, 0, 0, -1/4, -1/4, 1/4, 0, -1/4, -1/4, 1/4, -1/4, 1/4, 0, -1/4, -1/4, -1/4, 0, 1/4 ], [ 1/4, -1/4, 0, -1/4, 0, 0, 1/4, 0, 0, 1/4, -1/4, -1/4, 0, -1/4, 1/4, -1/4, -1/4, 1/4, 0, -1/4, 1/4, -1/4, 0, -1/4 ], [ 1/4, -1/4, 0, 1/4, 0, 0, -1/4, 0, 0, -1/4, 1/4, 1/4, 0, 1/4, 1/4, -1/4, -1/4, -1/4, 0, -1/4, -1/4, -1/4, 0, -1/4 ], [ 0, 0, -1/4, 0, 1/4, 1/4, 0, -1/4, -1/4, 0, 0, 0, -1/4, 0, 0, 0, 0, 0, 1/4, 1/2, 0, -1/2, 1/4, 0 ], [ 0, 0, -1/4, 0, -1/4, 1/4, 0, 1/4, -1/4, 0, 0, 0, 1/4, 0, 0, 1/2, 0, 0, -1/4, 0, 0, 0, 1/4, -1/2 ] ] , #### 80 ## Label: 12F_0 ## Order: 24 ## Centralizer: 864 ## Cycles: [ [ 24, 8190 ] ] ## Trace: 0 ## Factors: [ [ 24, 3 ] ] [ [ 0, 1/4, 0, 1/4, 1/4, -1/4, -1/4, -1/4, 0, 0, -1/4, 1/4, 1/4, 0, 0, 1/4, 1/4, 1/4, 1/4, -1/4, 1/4, 0, -1/4, 0 ], [ -1/4, 0, 1/4, 0, 0, -1/2, 1/2, 0, 1/4, 1/4, 0, 0, 0, -1/4, 1/4, 0, 0, 0, 0, 0, 0, -1/4, 0, -1/4 ], [ -1/4, -1/2, -1/4, 0, 0, 0, 0, 0, 1/4, -1/4, -1/2, 0, 0, 1/4, -1/4, 0, 0, 0, 0, 0, 0, -1/4, 0, -1/4 ], [ 0, 1/4, 0, -1/4, 1/4, 1/4, 1/4, 1/4, 0, 0, -1/4, -1/4, -1/4, 0, 0, 1/4, 1/4, -1/4, 1/4, -1/4, 1/4, 0, 1/4, 0 ], [ 1/4, 0, 1/4, 0, 0, 0, 0, -1/2, 1/4, -1/4, 0, 0, 0, 1/4, 1/4, 0, 0, -1/2, 0, 0, 0, 1/4, 0, -1/4 ], [ 1/4, 0, 1/4, -1/2, 0, 0, 0, 0, -1/4, 1/4, 0, 1/2, 0, 1/4, -1/4, 0, 0, 0, 0, 0, 0, -1/4, 0, -1/4 ], [ 1/4, -1/2, 1/4, 0, 0, 0, 0, 0, -1/4, 1/4, -1/2, 0, 0, -1/4, 1/4, 0, 0, 0, 0, 0, 0, 1/4, 0, 1/4 ], [ 1/4, 0, -1/4, 0, 0, 0, 0, 0, 1/4, 1/4, 0, 0, 1/2, 1/4, 1/4, 0, 0, 0, 0, 0, 0, -1/4, 1/2, 1/4 ], [ -1/4, 0, 1/4, 0, 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-1/4, 1/4, -1/4, 1/4, 1/4, 0, 1/4, 0 ], [ -1/4, 0, -1/4, 0, -1/2, 0, 0, 0, -1/4, 1/4, 0, 0, 0, 1/4, 1/4, 0, 1/2, 0, 0, 0, 0, 1/4, 0, -1/4 ], [ 0, 1/4, 0, -1/4, -1/4, 1/4, 1/4, -1/4, 0, 0, -1/4, -1/4, 1/4, 0, 0, -1/4, -1/4, 1/4, 1/4, -1/4, -1/4, 0, -1/4, 0 ], [ 0, -1/4, 0, -1/4, 1/4, 1/4, 1/4, -1/4, 0, 0, 1/4, -1/4, 1/4, 0, 0, 1/4, 1/4, 1/4, -1/4, 1/4, 1/4, 0, -1/4, 0 ], [ 0, 1/4, 0, 1/4, 1/4, 1/4, 1/4, -1/4, 0, 0, -1/4, 1/4, -1/4, 0, 0, -1/4, 1/4, 1/4, -1/4, 1/4, -1/4, 0, 1/4, 0 ], [ -1/4, 0, 1/4, 0, 0, 0, 0, 0, -1/4, -1/4, 0, 0, 0, 1/4, 1/4, 1/2, 0, 0, 0, 0, -1/2, -1/4, 0, 1/4 ], [ -1/4, 0, -1/4, 0, 0, 0, 0, -1/2, -1/4, 1/4, 0, 0, 0, -1/4, -1/4, 0, 0, -1/2, 0, 0, 0, -1/4, 0, 1/4 ] ] , #### 81 ## Label: 12G_0 ## Order: 12 ## Centralizer: 576 ## Cycles: [ [ 2, 6 ], [ 3, 8 ], [ 4, 186 ], [ 6, 34 ], [ 12, 16298 ] ] ## Trace: 0 ## Factors: [ [ 1, 2 ], [ 2, 2 ], [ 3, 1 ], [ 4, 4 ], [ 6, 1 ], [ 12, 2 ] ] [ [ -1/8, 1/8, -1/8, -3/8, -1/8, 1/8, -1/8, 1/8, -1/8, 1/8, 1/8, -1/8, 1/8, -1/8, 3/8, 1/8, -3/8, 1/8, 3/8, -1/8, -1/8, -1/8, -3/8, 1/8 ], [ 3/8, 1/8, -1/8, 1/8, -1/8, 1/8, -1/8, 1/8, -1/8, 1/8, 1/8, -1/8, 1/8, 3/8, -1/8, 1/8, 1/8, 1/8, -1/8, -1/8, -1/8, -1/8, 1/8, 5/8 ], [ 1/8, -1/8, 1/8, -1/8, -3/8, -1/8, 1/8, -1/8, 1/8, -1/8, -1/8, -3/8, 3/8, 1/8, -3/8, -1/8, -1/8, -1/8, 1/8, -3/8, 1/8, 1/8, -1/8, -1/8 ], [ 1/8, -1/8, 1/8, -1/8, -3/8, -1/8, -3/8, 3/8, -3/8, -1/8, -1/8, 1/8, -1/8, 1/8, 1/8, -1/8, -1/8, -1/8, -3/8, 1/8, 1/8, 1/8, -1/8, -1/8 ], [ 1/8, -1/8, -3/8, -1/8, 1/8, 3/8, -3/8, -1/8, 1/8, -1/8, -1/8, 1/8, 3/8, 1/8, 1/8, -1/8, -1/8, -1/8, 1/8, 1/8, 1/8, 1/8, 3/8, -1/8 ], [ -1/8, -3/8, -1/8, 1/8, -1/8, 1/8, -1/8, 1/8, -1/8, 1/8, 1/8, -1/8, -3/8, -1/8, -1/8, 1/8, 1/8, -3/8, 3/8, -1/8, -1/8, 3/8, 1/8, 1/8 ], [ -1/8, 1/8, -1/8, 1/8, 3/8, 1/8, -1/8, 1/8, -1/8, -3/8, 1/8, -1/8, 1/8, -1/8, -1/8, 1/8, 1/8, -3/8, -1/8, -1/8, 3/8, -1/8, -3/8, 1/8 ], [ 1/8, -1/8, 1/8, -1/8, 1/8, -1/8, -3/8, -1/8, 1/8, -1/8, 3/8, 1/8, -1/8, 1/8, -3/8, 3/8, -1/8, 3/8, 1/8, 1/8, 1/8, 1/8, -1/8, -1/8 ], [ -1/8, 1/8, -1/8, 1/8, -1/8, 1/8, -1/8, -3/8, -1/8, -3/8, 1/8, -1/8, -3/8, -1/8, -1/8, -3/8, -3/8, 1/8, -1/8, -1/8, -1/8, -1/8, 1/8, 1/8 ], [ -1/8, -3/8, -1/8, 1/8, -1/8, 1/8, -1/8, 1/8, 3/8, 1/8, 1/8, 3/8, 1/8, -1/8, -1/8, -3/8, 1/8, 1/8, -1/8, -1/8, -1/8, -1/8, -3/8, 1/8 ], [ -3/8, -1/8, 1/8, -1/8, 1/8, -1/8, 1/8, -1/8, 1/8, -1/8, -1/8, 1/8, -1/8, 5/8, 1/8, -1/8, -1/8, -1/8, 1/8, 1/8, 1/8, 1/8, -1/8, 3/8 ], [ 1/8, 3/8, 1/8, 3/8, 1/8, -1/8, -3/8, -1/8, 1/8, 3/8, -1/8, 1/8, -1/8, 1/8, 1/8, -1/8, -1/8, -1/8, 1/8, -3/8, 1/8, 1/8, -1/8, -1/8 ], [ -1/8, -3/8, 3/8, 1/8, 3/8, 1/8, -1/8, 1/8, -1/8, 1/8, -3/8, -1/8, 1/8, -1/8, -1/8, 1/8, -3/8, 1/8, -1/8, -1/8, -1/8, -1/8, 1/8, 1/8 ], [ 1/8, -1/8, -3/8, -1/8, 1/8, -1/8, 1/8, -1/8, 1/8, -1/8, -1/8, 1/8, -1/8, 1/8, 1/8, 3/8, -1/8, -1/8, -3/8, -3/8, -3/8, 1/8, -1/8, -1/8 ], [ 1/8, -1/8, -3/8, -1/8, 1/8, -1/8, 1/8, -1/8, -3/8, 3/8, -1/8, 1/8, -1/8, 1/8, -3/8, -1/8, -1/8, -1/8, 1/8, 1/8, 1/8, -3/8, -1/8, -1/8 ], [ -1/8, 1/8, -1/8, 1/8, -1/8, -3/8, -1/8, 1/8, 3/8, 1/8, 1/8, -1/8, 1/8, -1/8, -1/8, 1/8, -3/8, -3/8, -1/8, 3/8, -1/8, -1/8, 1/8, 1/8 ], [ 1/8, -1/8, 1/8, -1/8, 1/8, -1/8, -3/8, -1/8, 1/8, -1/8, -1/8, -3/8, -1/8, 1/8, 1/8, -1/8, 3/8, -1/8, 1/8, 1/8, -3/8, -3/8, -1/8, -1/8 ], [ -5/8, 1/8, -1/8, 1/8, -1/8, 1/8, -1/8, 1/8, -1/8, 1/8, 1/8, -1/8, 1/8, 3/8, -1/8, 1/8, 1/8, 1/8, -1/8, -1/8, -1/8, -1/8, 1/8, -3/8 ], [ -1/8, 1/8, -1/8, 1/8, -1/8, 1/8, -1/8, -3/8, -1/8, 1/8, -3/8, -1/8, 1/8, -1/8, -1/8, 1/8, 1/8, 1/8, -1/8, 3/8, -1/8, 3/8, -3/8, 1/8 ], [ 1/8, -1/8, 1/8, 3/8, 1/8, -1/8, 1/8, -1/8, -3/8, -1/8, 3/8, 1/8, 3/8, 1/8, 1/8, -1/8, -1/8, -1/8, 1/8, 1/8, -3/8, 1/8, -1/8, -1/8 ], [ -1/8, 1/8, 3/8, -3/8, -1/8, 1/8, -1/8, -3/8, -1/8, 1/8, 1/8, 3/8, 1/8, -1/8, -1/8, 1/8, 1/8, -3/8, -1/8, -1/8, -1/8, -1/8, 1/8, 1/8 ], [ -1/8, -3/8, -1/8, 1/8, -1/8, -3/8, -1/8, -3/8, -1/8, 1/8, 1/8, -1/8, 1/8, -1/8, 3/8, 1/8, 1/8, 1/8, -1/8, -1/8, 3/8, -1/8, 1/8, 1/8 ], [ 1/8, -1/8, 1/8, -1/8, 1/8, 3/8, 1/8, -1/8, 1/8, 3/8, 3/8, -3/8, -1/8, 1/8, 1/8, -1/8, -1/8, -1/8, -3/8, 1/8, 1/8, 1/8, -1/8, -1/8 ], [ 1/8, -1/8, 1/8, 3/8, -3/8, 3/8, 1/8, -1/8, 1/8, -1/8, -1/8, 1/8, -1/8, 1/8, 1/8, 3/8, -1/8, -1/8, 1/8, 1/8, 1/8, -3/8, -1/8, -1/8 ] ] , #### 82 ## Label: 12H_0 ## Order: 12 ## Centralizer: 576 ## Cycles: [ [ 1, 14 ], [ 2, 20 ], [ 3, 82 ], [ 6, 670 ], [ 12, 16020 ] ] ## Trace: 1 ## Factors: [ [ 1, 4 ], [ 2, 2 ], [ 3, 3 ], [ 6, 2 ], [ 12, 2 ] ] [ [ 1/8, 1/8, 1/8, 1/8, -1/8, -1/8, -1/8, -1/8, -1/8, 1/8, 1/8, -1/8, 3/8, -3/8, -3/8, -1/8, 1/8, -1/8, -1/8, 1/8, 3/8, -3/8, 1/8, -1/8 ], [ -3/8, 1/8, 1/8, 1/8, -1/8, 3/8, -1/8, -1/8, -1/8, 1/8, -3/8, -1/8, -1/8, 1/8, 1/8, -1/8, -3/8, -1/8, -1/8, 1/8, 3/8, 1/8, 1/8, -1/8 ], [ -1/8, -1/8, -1/8, -1/8, 1/8, 1/8, 1/8, 1/8, 1/8, -1/8, -1/8, 1/8, 1/8, -1/8, -1/8, -3/8, -1/8, 1/8, 1/8, -1/8, 1/8, -1/8, 3/8, 5/8 ], [ -1/8, 3/8, -1/8, -1/8, 1/8, 1/8, 1/8, -3/8, 1/8, 3/8, -1/8, 1/8, 1/8, -1/8, -1/8, 1/8, -1/8, 1/8, 1/8, 3/8, -3/8, -1/8, -1/8, 1/8 ], [ -3/8, 1/8, 1/8, -3/8, -1/8, -1/8, 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-1/8, -1/8, 1/8 ], [ 1/8, -3/8, 1/8, -3/8, -1/8, 3/8, 3/8, -1/8, -1/8, 1/8, 1/8, -1/8, -1/8, 1/8, -3/8, -1/8, 1/8, -1/8, -1/8, 1/8, -1/8, 1/8, 1/8, -1/8 ] ] , #### 84 ## Label: 12I_0 ## Order: 12 ## Centralizer: 576 ## Cycles: [ [ 1, 2 ], [ 2, 35 ], [ 3, 86 ], [ 4, 171 ], [ 6, 665 ], [ 12, 15963 ] ] ## Trace: -2 ## Factors: [ [ 1, 4 ], [ 2, 4 ], [ 3, 3 ], [ 4, 2 ], [ 6, 1 ], [ 12, 1 ] ] [ [ 1/8, -1/8, 1/8, 3/8, 1/8, -1/8, 1/8, -1/8, -3/8, 3/8, 1/8, -1/8, -1/8, 1/8, 3/8, 1/8, -1/8, -1/8, -1/8, -1/8, -3/8, 1/8, 1/8, 1/8 ], [ -3/8, -1/8, 1/8, -1/8, -3/8, -1/8, -3/8, -1/8, 1/8, -1/8, 1/8, -1/8, -1/8, 1/8, 3/8, 1/8, -1/8, -1/8, -1/8, -1/8, 1/8, -3/8, 1/8, 1/8 ], [ 1/8, -1/8, 1/8, -1/8, 1/8, 3/8, 1/8, -1/8, 1/8, -1/8, 1/8, 3/8, 3/8, 1/8, 3/8, 1/8, -1/8, -1/8, 3/8, -1/8, 1/8, 1/8, 1/8, 1/8 ], [ 1/8, -1/8, -3/8, -1/8, -3/8, 3/8, 1/8, -1/8, 1/8, -1/8, 1/8, -1/8, -1/8, 1/8, -1/8, -3/8, -1/8, -1/8, -1/8, -1/8, -3/8, 1/8, 1/8, 1/8 ], [ 1/8, -1/8, 1/8, -1/8, -3/8, -1/8, 1/8, -1/8, -3/8, -1/8, 1/8, 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3/8, 1/8, 1/8, 1/8, -3/8 ], [ 3/8, 1/8, -1/8, 1/8, -1/8, 1/8, -1/8, 1/8, 3/8, 1/8, -1/8, -3/8, 1/8, -1/8, 1/8, 3/8, 1/8, 1/8, 1/8, 1/8, -1/8, -1/8, -1/8, 3/8 ] ] , #### 86 ## Label: 12J_0 ## Order: 12 ## Centralizer: 288 ## Cycles: [ [ 1, 6 ], [ 2, 33 ], [ 3, 14 ], [ 4, 171 ], [ 6, 701 ], [ 12, 15963 ] ] ## Trace: 0 ## Factors: [ [ 1, 4 ], [ 2, 4 ], [ 3, 2 ], [ 4, 2 ], [ 6, 2 ], [ 12, 1 ] ] [ [ 1/8, 3/8, -1/8, -1/8, 1/8, -1/8, 1/8, 1/8, -1/8, 1/8, 1/8, 1/8, -1/8, -3/8, 3/8, -1/8, 1/8, -3/8, -1/8, 1/8, 3/8, -1/8, -1/8, 1/8 ], [ 1/8, -1/8, -1/8, -1/8, 1/8, 3/8, 1/8, 1/8, -1/8, -3/8, 1/8, 1/8, -1/8, 1/8, 3/8, -1/8, 1/8, 1/8, 3/8, -3/8, -1/8, -1/8, -1/8, 1/8 ], [ -1/8, 1/8, 1/8, 1/8, -5/8, 1/8, -1/8, -1/8, 1/8, -1/8, 3/8, -1/8, -3/8, -1/8, 1/8, 1/8, -1/8, -1/8, 1/8, -1/8, 1/8, 1/8, 1/8, -1/8 ], [ 3/8, -3/8, 1/8, -3/8, -1/8, 1/8, -1/8, -1/8, 1/8, -1/8, -1/8, -1/8, 1/8, -1/8, 1/8, 1/8, -1/8, -1/8, 1/8, 3/8, 1/8, -3/8, 1/8, -1/8 ], [ -1/8, 1/8, -3/8, -3/8, -1/8, -3/8, -1/8, -1/8, 1/8, -1/8, 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-3/8, -1/8, -1/8 ], [ 1/8, 1/8, -1/8, 3/8, 3/8, 1/8, -1/8, 1/8, 1/8, -1/8, 1/8, -1/8, 3/8, -1/8, 1/8, -3/8, -3/8, -1/8, 1/8, -1/8, 1/8, 1/8, -1/8, -1/8 ] ] , #### 88 ## Label: 12K_1 ## Order: 12 ## Centralizer: 576 ## Cycles: [ [ 2, 3 ], [ 3, 8 ], [ 4, 12 ], [ 6, 35 ], [ 12, 16356 ] ] ## Trace: -3 ## Factors: [ [ 2, 2 ], [ 3, 2 ], [ 4, 2 ], [ 6, 1 ], [ 12, 3 ] ] [ [ 1/8, 1/8, -1/8, 3/8, -1/8, 1/8, -1/8, -3/8, 1/8, -1/8, 1/8, -1/8, -1/8, -1/8, 1/8, 1/8, 1/8, 3/8, 1/8, -1/8, -3/8, 1/8, 3/8, -1/8 ], [ -3/8, -3/8, -1/8, -1/8, -1/8, 1/8, -1/8, 1/8, 1/8, 3/8, 1/8, -1/8, 3/8, -1/8, 1/8, 1/8, 1/8, -1/8, 1/8, -1/8, 1/8, 1/8, 3/8, -1/8 ], [ -1/8, 3/8, -3/8, 1/8, 1/8, -1/8, 1/8, -1/8, 3/8, 1/8, -1/8, 1/8, 1/8, 1/8, -1/8, 3/8, -1/8, 1/8, -1/8, 1/8, 3/8, -1/8, 1/8, 1/8 ], [ 1/8, 1/8, 3/8, -1/8, -1/8, 1/8, -1/8, -3/8, 1/8, -1/8, 1/8, -1/8, 3/8, 3/8, 1/8, 1/8, 1/8, -1/8, -3/8, -1/8, 1/8, 1/8, -1/8, -1/8 ], [ -1/8, -1/8, 1/8, 1/8, -3/8, 3/8, 1/8, -1/8, 3/8, 1/8, -1/8, 1/8, 1/8, -3/8, -1/8, -1/8, -1/8, 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1/8, 3/8, 3/8, -1/8, 1/8, 1/8, 1/8, -1/8, 1/8, -1/8, -3/8, 1/8, -1/8, -1/8 ], [ 1/8, 1/8, -1/8, -1/8, -1/8, 1/8, -1/8, 1/8, -3/8, -1/8, 1/8, -1/8, 3/8, -1/8, 1/8, 1/8, 1/8, 3/8, 1/8, 3/8, 1/8, -3/8, -1/8, -1/8 ], [ -1/8, -1/8, 1/8, 1/8, 1/8, -1/8, 1/8, -1/8, -1/8, -3/8, -1/8, 1/8, 1/8, -3/8, -1/8, -1/8, 3/8, 1/8, -1/8, -3/8, 3/8, -1/8, 1/8, 1/8 ], [ 3/8, -1/8, 1/8, 1/8, -3/8, -1/8, 1/8, -1/8, -1/8, 1/8, -1/8, 1/8, 1/8, 1/8, -1/8, -1/8, -1/8, 1/8, 3/8, 1/8, 3/8, 3/8, 1/8, 1/8 ], [ -1/8, -1/8, 1/8, -3/8, -3/8, -1/8, 1/8, -1/8, -1/8, 1/8, -1/8, 1/8, -3/8, 1/8, -1/8, 3/8, 3/8, 1/8, -1/8, 1/8, -1/8, -1/8, 1/8, 1/8 ] ] , #### 89 ## Label: 12L_0 ## Order: 24 ## Centralizer: 72 ## Cycles: [ [ 24, 8190 ] ] ## Trace: 0 ## Factors: [ [ 8, 2 ], [ 24, 2 ] ] [ [ 1/4, 1/4, 0, 1/4, 1/4, 1/4, 0, 1/4, -1/4, 1/4, 1/4, 0, -1/4, 1/4, -1/4, 0, 0, -1/4, 0, 0, -1/4, 0, -1/4, 1/4 ], [ 0, 0, 1/4, 0, 0, 0, 1/4, 0, 0, 0, 1/2, 1/4, 0, 0, 0, 1/4, -1/4, 1/2, -1/4, 1/4, 0, 1/4, 0, 0 ], [ 0, 1/2, 1/4, 0, 0, 0, -1/4, 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1/4, 0, 0, -1/4, 0, 0, 1/4, 0, 1/4, 1/4 ], [ 0, 0, 1/4, 0, 0, 0, 1/4, 0, 0, 0, 0, -1/4, 0, 0, 1/2, -1/4, 1/4, 0, -1/4, 1/4, -1/2, -1/4, 0, 0 ], [ -1/2, 0, 1/4, 0, 0, 1/2, 1/4, 0, 0, 0, 0, 1/4, 0, 0, 0, -1/4, -1/4, 0, 1/4, -1/4, 0, -1/4, 0, 0 ], [ 1/2, 0, 1/4, 0, 0, -1/2, 1/4, 0, 0, 0, 0, 1/4, 0, 0, 0, -1/4, -1/4, 0, 1/4, -1/4, 0, -1/4, 0, 0 ], [ 1/4, -1/4, 0, 1/4, -1/4, 1/4, 0, 1/4, -1/4, 1/4, -1/4, 0, 1/4, -1/4, 1/4, 0, 0, 1/4, 0, 0, 1/4, 0, -1/4, 1/4 ], [ -1/4, 1/4, 0, 1/4, 1/4, -1/4, 0, 1/4, 1/4, -1/4, -1/4, 0, -1/4, 1/4, 1/4, 0, 0, 1/4, 0, 0, 1/4, 0, -1/4, 1/4 ], [ 0, 0, 1/4, 0, 0, 0, 1/4, 0, 0, 0, -1/2, 1/4, 0, 0, 0, 1/4, -1/4, -1/2, -1/4, 1/4, 0, 1/4, 0, 0 ], [ 0, 0, 1/4, 0, 0, 0, -1/4, -1/2, 0, 0, 0, -1/4, 0, 0, 0, 1/4, -1/4, 0, 1/4, 1/4, 0, -1/4, 0, 1/2 ], [ 0, 0, -1/4, -1/2, 0, 0, 1/4, 0, 0, 0, 0, -1/4, 0, 0, 0, 1/4, -1/4, 0, -1/4, -1/4, 0, -1/4, -1/2, 0 ], [ 0, 0, 1/4, 0, 0, 0, 1/4, 0, -1/2, -1/2, 0, -1/4, 0, 0, 0, 1/4, 1/4, 0, 1/4, -1/4, 0, 1/4, 0, 0 ], [ -1/4, -1/4, 0, 1/4, 1/4, -1/4, 0, -1/4, -1/4, 1/4, 1/4, 0, -1/4, -1/4, 1/4, 0, 0, -1/4, 0, 0, 1/4, 0, -1/4, -1/4 ], [ 0, 0, -1/4, 1/2, 0, 0, 1/4, 0, 0, 0, 0, -1/4, 0, 0, 0, 1/4, -1/4, 0, -1/4, -1/4, 0, -1/4, 1/2, 0 ], [ 0, -1/2, 1/4, 0, 0, 0, -1/4, 0, 0, 0, 0, 1/4, 0, 1/2, 0, 1/4, 1/4, 0, -1/4, -1/4, 0, -1/4, 0, 0 ] ] , #### 90 ## Label: 12M_0 ## Order: 12 ## Centralizer: 48 ## Cycles: [ [ 3, 4 ], [ 6, 42 ], [ 12, 16358 ] ] ## Trace: 0 ## Factors: [ [ 1, 2 ], [ 2, 2 ], [ 3, 2 ], [ 4, 2 ], [ 6, 2 ], [ 12, 2 ] ] [ [ -1/4, 1/4, 0, -1/4, -1/4, 0, 1/4, -1/4, -1/4, 1/4, 1/4, 0, 0, 1/4, -1/4, -1/4, 0, -1/4, 1/4, 1/4, 0, 0, 0, 1/4 ], [ 0, 0, -1/4, 0, 0, -1/4, 0, 0, 0, 1/2, 0, -1/4, -1/4, 0, 0, 0, -1/4, 0, 0, -1/2, 1/4, -1/4, 1/4, 0 ], [ 1/4, 1/4, 0, -1/4, -1/4, 0, -1/4, -1/4, -1/4, 1/4, -1/4, 0, 0, -1/4, 1/4, 1/4, 0, 1/4, 1/4, 1/4, 0, 0, 0, -1/4 ], [ -1/4, 1/4, 0, -1/4, 1/4, 0, 1/4, 1/4, 1/4, 1/4, -1/4, 0, 0, 1/4, 1/4, 1/4, 0, 1/4, -1/4, 1/4, 0, 0, 0, 1/4 ], [ 0, 1/2, -1/4, 1/2, 0, -1/4, 0, 0, 0, 0, 0, 1/4, -1/4, 0, 0, 0, 1/4, 0, 0, 0, -1/4, 1/4, 1/4, 0 ], [ 1/4, 1/4, 0, -1/4, 1/4, 0, -1/4, 1/4, 1/4, 1/4, 1/4, 0, 0, -1/4, -1/4, -1/4, 0, -1/4, -1/4, 1/4, 0, 0, 0, -1/4 ], [ 0, 0, -1/4, 0, 0, -1/4, 0, 0, 0, -1/2, 0, -1/4, -1/4, 0, 0, 0, -1/4, 0, 0, 1/2, 1/4, -1/4, 1/4, 0 ], [ 0, -1/2, -1/4, -1/2, 0, -1/4, 0, 0, 0, 0, 0, 1/4, -1/4, 0, 0, 0, 1/4, 0, 0, 0, -1/4, 1/4, 1/4, 0 ], [ 0, 0, -1/4, 0, 0, -1/4, 0, 0, 0, 0, 0, 1/4, 1/4, 0, 1/2, 0, -1/4, -1/2, 0, 0, -1/4, -1/4, -1/4, 0 ], [ 1/2, 0, -1/4, 0, 0, 1/4, 0, 0, 0, 0, 0, -1/4, 1/4, 0, 0, 0, -1/4, 0, 0, 0, -1/4, 1/4, 1/4, 1/2 ], [ -1/4, 1/4, 0, -1/4, 1/4, 0, -1/4, -1/4, 1/4, -1/4, 1/4, 0, 0, -1/4, 1/4, -1/4, 0, 1/4, 1/4, -1/4, 0, 0, 0, 1/4 ], [ 0, 0, -1/4, 0, 0, 1/4, 0, -1/2, 0, 0, 0, 1/4, -1/4, 0, 0, 0, -1/4, 0, -1/2, 0, 1/4, 1/4, -1/4, 0 ], [ 0, 0, 1/4, 0, 0, 1/4, 0, 0, 0, 0, 1/2, 1/4, -1/4, 0, 0, 1/2, -1/4, 0, 0, 0, -1/4, -1/4, 1/4, 0 ], [ -1/2, 0, -1/4, 0, 0, 1/4, 0, 0, 0, 0, 0, -1/4, 1/4, 0, 0, 0, -1/4, 0, 0, 0, -1/4, 1/4, 1/4, -1/2 ], [ -1/4, 1/4, 0, -1/4, -1/4, 0, -1/4, 1/4, -1/4, -1/4, -1/4, 0, 0, -1/4, -1/4, 1/4, 0, -1/4, -1/4, -1/4, 0, 0, 0, 1/4 ], [ 0, 0, 1/4, 0, -1/2, -1/4, 0, 0, 1/2, 0, 0, 1/4, 1/4, 0, 0, 0, -1/4, 0, 0, 0, 1/4, 1/4, 1/4, 0 ], [ 0, 0, -1/4, 0, 0, 1/4, 1/2, 0, 0, 0, 0, 1/4, 1/4, -1/2, 0, 0, 1/4, 0, 0, 0, 1/4, -1/4, 1/4, 0 ], [ 0, 0, -1/4, 0, 0, -1/4, 0, 0, 0, 0, 1/2, -1/4, 1/4, 0, 0, 1/2, 1/4, 0, 0, 0, 1/4, 1/4, -1/4, 0 ], [ 0, 0, 1/4, 0, 0, -1/4, 0, -1/2, 0, 0, 0, -1/4, 1/4, 0, 0, 0, 1/4, 0, -1/2, 0, -1/4, -1/4, 1/4, 0 ], [ -1/4, -1/4, 0, 1/4, -1/4, 0, -1/4, 1/4, -1/4, 1/4, 1/4, 0, 0, -1/4, 1/4, -1/4, 0, 1/4, -1/4, 1/4, 0, 0, 0, 1/4 ], [ 0, 0, -1/4, 0, 0, 1/4, -1/2, 0, 0, 0, 0, 1/4, 1/4, 1/2, 0, 0, 1/4, 0, 0, 0, 1/4, -1/4, 1/4, 0 ], [ 0, 0, 1/4, 0, 0, 1/4, 0, 0, 0, 0, 0, -1/4, -1/4, 0, 1/2, 0, 1/4, -1/2, 0, 0, 1/4, 1/4, 1/4, 0 ], [ 0, 0, -1/4, 0, -1/2, 1/4, 0, 0, 1/2, 0, 0, -1/4, -1/4, 0, 0, 0, 1/4, 0, 0, 0, -1/4, -1/4, -1/4, 0 ], [ -1/4, -1/4, 0, 1/4, 1/4, 0, -1/4, -1/4, 1/4, 1/4, -1/4, 0, 0, -1/4, -1/4, 1/4, 0, -1/4, 1/4, 1/4, 0, 0, 0, 1/4 ] ] , #### 91 ## Label: 13A_0 ## Order: 13 ## Centralizer: 312 ## Cycles: [ [ 13, 15120 ] ] ## Trace: -2 ## Factors: [ [ 13, 2 ] ] [ [ 0, 1/4, 1/4, 1/4, 1/4, -1/4, 1/4, 0, 1/4, 1/4, -1/4, 0, 1/4, 0, 0, 0, 0, 0, -1/4, 0, 1/2, 1/4, 0, 0 ], [ 0, -1/4, 1/4, 1/4, 1/4, -1/4, -1/4, 0, -1/4, -1/4, 1/4, 0, -1/4, 0, 0, 0, 0, 0, -1/4, 1/2, 0, 1/4, 0, 0 ], [ -1/4, 0, 0, 0, 0, 0, 0, 1/4, 0, 1/2, 0, -1/4, 0, -1/4, 1/4, 1/4, 1/4, 1/4, 0, 1/4, -1/4, 0, 1/4, -1/4 ], [ 0, -1/4, -1/4, -1/4, -1/4, -1/4, 1/4, 0, -1/4, 1/4, -1/4, 0, -1/4, 0, 0, 0, -1/2, 0, -1/4, 0, 0, 1/4, 0, 0 ], [ 0, -1/4, -1/4, -1/4, 1/4, -1/4, -1/4, 0, 1/4, -1/4, -1/4, 0, 1/4, 0, 0, 1/2, 0, 0, 1/4, 0, 0, 1/4, 0, 0 ], [ 0, 1/4, -1/4, 1/4, -1/4, 1/4, -1/4, 0, 1/4, -1/4, -1/4, 0, -1/4, 0, 0, 0, 0, 1/2, -1/4, 0, 0, 1/4, 0, 0 ], [ 1/4, 0, 0, 0, 0, 0, -1/2, 1/4, 0, 0, 0, -1/4, 0, -1/4, 1/4, -1/4, -1/4, -1/4, 0, -1/4, 1/4, 0, 1/4, -1/4 ], [ 1/2, -1/4, -1/4, 1/4, 1/4, 1/4, 1/4, 0, 1/4, 1/4, 1/4, 0, -1/4, 0, 0, 0, 0, 0, 1/4, 0, 0, 1/4, 0, 0 ], [ 1/4, 0, 0, 0, 0, 0, 0, -1/4, 0, 0, -1/2, 1/4, 0, -1/4, 1/4, -1/4, 1/4, -1/4, 0, 1/4, -1/4, 0, -1/4, -1/4 ], [ 0, -1/4, 1/4, -1/4, 1/4, 1/4, -1/4, 0, 1/4, 1/4, -1/4, 0, -1/4, 1/2, 0, 0, 0, 0, -1/4, 0, 0, -1/4, 0, 0 ], [ 0, -1/4, 1/4, 1/4, -1/4, 1/4, -1/4, 0, -1/4, 1/4, -1/4, 0, 1/4, 0, -1/2, 0, 0, 0, 1/4, 0, 0, 1/4, 0, 0 ], [ 0, -1/4, 1/4, -1/4, -1/4, 1/4, 1/4, 0, 1/4, -1/4, 1/4, 0, 1/4, 0, 0, 0, 0, 0, -1/4, 0, 0, 1/4, 0, -1/2 ], [ 0, 1/4, -1/4, -1/4, 1/4, 1/4, -1/4, 0, -1/4, 1/4, 1/4, 0, 1/4, 0, 0, 0, 0, 0, -1/4, 0, 0, 1/4, -1/2, 0 ], [ -1/4, 0, 0, 0, 0, 0, 0, 1/4, 1/2, 0, 0, -1/4, 0, -1/4, -1/4, -1/4, -1/4, -1/4, 0, 1/4, -1/4, 0, -1/4, 1/4 ], [ -1/4, 0, 0, 0, 1/2, 0, 0, -1/4, 0, 0, 0, 1/4, 0, -1/4, -1/4, -1/4, -1/4, 1/4, 0, -1/4, -1/4, 0, 1/4, -1/4 ], [ -1/4, 0, 0, 0, 0, 1/2, 0, -1/4, 0, 0, 0, 1/4, 0, -1/4, 1/4, 1/4, -1/4, -1/4, 0, 1/4, 1/4, 0, 1/4, 1/4 ], [ 1/4, 0, 0, 0, 0, 0, 0, -1/4, 0, 0, 0, -1/4, 0, -1/4, -1/4, 1/4, -1/4, 1/4, 0, 1/4, 1/4, -1/2, -1/4, -1/4 ], [ 1/4, 1/2, 0, 0, 0, 0, 0, 1/4, 0, 0, 0, 1/4, 0, 1/4, -1/4, 1/4, -1/4, -1/4, 0, 1/4, -1/4, 0, 1/4, -1/4 ], [ 0, -1/4, -1/4, 1/4, -1/4, -1/4, -1/4, 0, 1/4, 1/4, 1/4, 1/2, 1/4, 0, 0, 0, 0, 0, -1/4, 0, 0, -1/4, 0, 0 ], [ -1/4, 0, 0, 1/2, 0, 0, 0, -1/4, 0, 0, 0, -1/4, 0, 1/4, 1/4, 1/4, -1/4, -1/4, 0, -1/4, -1/4, 0, -1/4, -1/4 ], [ 1/4, 0, 0, 0, 0, 0, 0, -1/4, 0, 0, 0, -1/4, 1/2, 1/4, 1/4, -1/4, -1/4, 1/4, 0, 1/4, -1/4, 0, 1/4, 1/4 ], [ -1/4, 0, -1/2, 0, 0, 0, 0, -1/4, 0, 0, 0, -1/4, 0, 1/4, -1/4, -1/4, 1/4, -1/4, 0, 1/4, 1/4, 0, 1/4, -1/4 ], [ 0, -1/4, -1/4, 1/4, 1/4, 1/4, 1/4, 1/2, -1/4, -1/4, -1/4, 0, 1/4, 0, 0, 0, 0, 0, -1/4, 0, 0, -1/4, 0, 0 ], [ -1/4, 0, 0, 0, 0, 0, 0, 1/4, 0, 0, 0, 1/4, 0, 1/4, 1/4, -1/4, -1/4, 1/4, 1/2, 1/4, 1/4, 0, -1/4, -1/4 ] ] , #### 92 ## Label: 13A_1 ## Order: 26 ## Centralizer: 312 ## Cycles: [ [ 26, 7560 ] ] ## Trace: 2 ## Factors: [ [ 26, 2 ] ] [ [ 0, -1/4, -1/4, -1/4, -1/4, 1/4, -1/4, 0, -1/4, -1/4, 1/4, 0, -1/4, 0, 0, 0, 0, 0, 1/4, 0, -1/2, -1/4, 0, 0 ], [ 0, 1/4, -1/4, -1/4, -1/4, 1/4, 1/4, 0, 1/4, 1/4, -1/4, 0, 1/4, 0, 0, 0, 0, 0, 1/4, -1/2, 0, -1/4, 0, 0 ], [ 1/4, 0, 0, 0, 0, 0, 0, -1/4, 0, -1/2, 0, 1/4, 0, 1/4, -1/4, -1/4, -1/4, -1/4, 0, -1/4, 1/4, 0, -1/4, 1/4 ], [ 0, 1/4, 1/4, 1/4, 1/4, 1/4, -1/4, 0, 1/4, -1/4, 1/4, 0, 1/4, 0, 0, 0, 1/2, 0, 1/4, 0, 0, -1/4, 0, 0 ], [ 0, 1/4, 1/4, 1/4, -1/4, 1/4, 1/4, 0, -1/4, 1/4, 1/4, 0, -1/4, 0, 0, -1/2, 0, 0, -1/4, 0, 0, -1/4, 0, 0 ], [ 0, -1/4, 1/4, -1/4, 1/4, -1/4, 1/4, 0, -1/4, 1/4, 1/4, 0, 1/4, 0, 0, 0, 0, -1/2, 1/4, 0, 0, -1/4, 0, 0 ], [ -1/4, 0, 0, 0, 0, 0, 1/2, -1/4, 0, 0, 0, 1/4, 0, 1/4, -1/4, 1/4, 1/4, 1/4, 0, 1/4, -1/4, 0, -1/4, 1/4 ], [ -1/2, 1/4, 1/4, -1/4, -1/4, -1/4, -1/4, 0, -1/4, -1/4, -1/4, 0, 1/4, 0, 0, 0, 0, 0, -1/4, 0, 0, -1/4, 0, 0 ], [ -1/4, 0, 0, 0, 0, 0, 0, 1/4, 0, 0, 1/2, -1/4, 0, 1/4, -1/4, 1/4, -1/4, 1/4, 0, -1/4, 1/4, 0, 1/4, 1/4 ], [ 0, 1/4, -1/4, 1/4, -1/4, -1/4, 1/4, 0, -1/4, -1/4, 1/4, 0, 1/4, -1/2, 0, 0, 0, 0, 1/4, 0, 0, 1/4, 0, 0 ], [ 0, 1/4, -1/4, -1/4, 1/4, -1/4, 1/4, 0, 1/4, -1/4, 1/4, 0, -1/4, 0, 1/2, 0, 0, 0, -1/4, 0, 0, -1/4, 0, 0 ], [ 0, 1/4, -1/4, 1/4, 1/4, -1/4, -1/4, 0, -1/4, 1/4, -1/4, 0, -1/4, 0, 0, 0, 0, 0, 1/4, 0, 0, -1/4, 0, 1/2 ], [ 0, -1/4, 1/4, 1/4, -1/4, -1/4, 1/4, 0, 1/4, -1/4, -1/4, 0, -1/4, 0, 0, 0, 0, 0, 1/4, 0, 0, -1/4, 1/2, 0 ], [ 1/4, 0, 0, 0, 0, 0, 0, -1/4, -1/2, 0, 0, 1/4, 0, 1/4, 1/4, 1/4, 1/4, 1/4, 0, -1/4, 1/4, 0, 1/4, -1/4 ], [ 1/4, 0, 0, 0, -1/2, 0, 0, 1/4, 0, 0, 0, -1/4, 0, 1/4, 1/4, 1/4, 1/4, -1/4, 0, 1/4, 1/4, 0, -1/4, 1/4 ], [ 1/4, 0, 0, 0, 0, -1/2, 0, 1/4, 0, 0, 0, -1/4, 0, 1/4, -1/4, -1/4, 1/4, 1/4, 0, -1/4, -1/4, 0, -1/4, -1/4 ], [ -1/4, 0, 0, 0, 0, 0, 0, 1/4, 0, 0, 0, 1/4, 0, 1/4, 1/4, -1/4, 1/4, -1/4, 0, -1/4, -1/4, 1/2, 1/4, 1/4 ], [ -1/4, -1/2, 0, 0, 0, 0, 0, -1/4, 0, 0, 0, -1/4, 0, -1/4, 1/4, -1/4, 1/4, 1/4, 0, -1/4, 1/4, 0, -1/4, 1/4 ], [ 0, 1/4, 1/4, -1/4, 1/4, 1/4, 1/4, 0, -1/4, -1/4, -1/4, -1/2, -1/4, 0, 0, 0, 0, 0, 1/4, 0, 0, 1/4, 0, 0 ], [ 1/4, 0, 0, -1/2, 0, 0, 0, 1/4, 0, 0, 0, 1/4, 0, -1/4, -1/4, -1/4, 1/4, 1/4, 0, 1/4, 1/4, 0, 1/4, 1/4 ], [ -1/4, 0, 0, 0, 0, 0, 0, 1/4, 0, 0, 0, 1/4, -1/2, -1/4, -1/4, 1/4, 1/4, -1/4, 0, -1/4, 1/4, 0, -1/4, -1/4 ], [ 1/4, 0, 1/2, 0, 0, 0, 0, 1/4, 0, 0, 0, 1/4, 0, -1/4, 1/4, 1/4, -1/4, 1/4, 0, -1/4, -1/4, 0, -1/4, 1/4 ], [ 0, 1/4, 1/4, -1/4, -1/4, -1/4, -1/4, -1/2, 1/4, 1/4, 1/4, 0, -1/4, 0, 0, 0, 0, 0, 1/4, 0, 0, 1/4, 0, 0 ], [ 1/4, 0, 0, 0, 0, 0, 0, -1/4, 0, 0, 0, -1/4, 0, -1/4, -1/4, 1/4, 1/4, -1/4, -1/2, -1/4, -1/4, 0, 1/4, 1/4 ] ] , #### 93 ## Label: 14A_0 ## Order: 28 ## Centralizer: 168 ## Cycles: [ [ 28, 7020 ] ] ## Trace: 0 ## Factors: [ [ 28, 2 ] ] [ [ 1/4, 0, 0, 1/4, 0, 0, -1/4, -1/4, 1/4, -1/4, -1/4, -1/4, 0, 1/4, 0, -1/4, 1/4, -1/4, 1/4, 1/4, 1/4, 0, -1/4, 0 ], [ 0, 1/4, -1/4, 0, -1/4, 1/4, 0, 0, -1/2, 0, -1/2, 0, -1/4, 0, -1/4, 0, 0, 0, 0, 0, 0, 1/4, 0, 1/4 ], [ 0, -1/4, -1/4, 0, 1/4, 1/4, 0, 0, 0, 0, 0, -1/2, 1/4, 0, -1/4, 0, 0, 0, -1/2, 0, 0, 1/4, 0, -1/4 ], [ -1/2, -1/4, -1/4, 0, -1/4, -1/4, -1/2, 0, 0, 0, 0, 0, -1/4, 0, -1/4, 0, 0, 0, 0, 0, 0, -1/4, 0, -1/4 ], [ 0, 1/4, -1/4, 0, -1/4, 1/4, 0, 0, 0, 0, 0, 0, 1/4, 0, 1/4, 0, 0, 1/2, 0, 1/2, 0, -1/4, 0, -1/4 ], [ 0, 1/4, -1/4, 0, -1/4, 1/4, 0, 0, 1/2, 0, 1/2, 0, -1/4, 0, -1/4, 0, 0, 0, 0, 0, 0, 1/4, 0, 1/4 ], [ 0, 1/4, -1/4, 0, 1/4, -1/4, 0, 0, 0, 0, 0, 0, -1/4, 1/2, 1/4, 0, 0, 0, 0, 0, 0, 1/4, 1/2, -1/4 ], [ -1/4, 0, 0, 1/4, 0, 0, 1/4, -1/4, 1/4, -1/4, -1/4, 1/4, 0, -1/4, 0, -1/4, 1/4, 1/4, -1/4, -1/4, 1/4, 0, 1/4, 0 ], [ 1/4, 0, 0, -1/4, 0, 0, -1/4, 1/4, -1/4, -1/4, 1/4, 1/4, 0, -1/4, 0, -1/4, 1/4, -1/4, -1/4, 1/4, 1/4, 0, 1/4, 0 ], [ 0, 1/4, -1/4, 0, 1/4, -1/4, 0, 0, 0, 0, 0, 0, 1/4, 0, -1/4, 1/2, 0, 0, 0, 0, 1/2, -1/4, 0, 1/4 ], [ -1/4, 0, 0, -1/4, 0, 0, 1/4, 1/4, 1/4, 1/4, -1/4, 1/4, 0, 1/4, 0, -1/4, -1/4, -1/4, -1/4, 1/4, 1/4, 0, -1/4, 0 ], [ 1/4, 0, 0, 1/4, 0, 0, -1/4, -1/4, 1/4, 1/4, -1/4, 1/4, 0, -1/4, 0, 1/4, -1/4, -1/4, -1/4, 1/4, -1/4, 0, 1/4, 0 ], [ -1/2, 1/4, 1/4, 0, 1/4, 1/4, -1/2, 0, 0, 0, 0, 0, 1/4, 0, 1/4, 0, 0, 0, 0, 0, 0, 1/4, 0, 1/4 ], [ 0, -1/4, -1/4, 0, 1/4, 1/4, 0, 0, 0, 1/2, 0, 0, -1/4, 0, 1/4, 0, 1/2, 0, 0, 0, 0, -1/4, 0, 1/4 ], [ -1/4, 0, 0, -1/4, 0, 0, 1/4, 1/4, 1/4, -1/4, -1/4, -1/4, 0, -1/4, 0, 1/4, 1/4, -1/4, 1/4, 1/4, -1/4, 0, 1/4, 0 ], [ 0, 1/4, -1/4, 0, -1/4, 1/4, 0, 0, 0, 0, 0, 0, 1/4, 0, 1/4, 0, 0, -1/2, 0, -1/2, 0, -1/4, 0, -1/4 ], [ 1/4, 0, 0, -1/4, 0, 0, -1/4, 1/4, 1/4, 1/4, -1/4, -1/4, 0, -1/4, 0, -1/4, -1/4, 1/4, 1/4, -1/4, 1/4, 0, 1/4, 0 ], [ 0, 1/4, 1/4, 1/2, 1/4, 1/4, 0, 1/2, 0, 0, 0, 0, -1/4, 0, -1/4, 0, 0, 0, 0, 0, 0, -1/4, 0, -1/4 ], [ 0, -1/4, -1/4, 1/2, -1/4, -1/4, 0, 1/2, 0, 0, 0, 0, 1/4, 0, 1/4, 0, 0, 0, 0, 0, 0, 1/4, 0, 1/4 ], [ 0, 1/4, -1/4, 0, 1/4, -1/4, 0, 0, 0, 0, 0, 0, 1/4, 0, -1/4, -1/2, 0, 0, 0, 0, -1/2, -1/4, 0, 1/4 ], [ 0, 1/4, 1/4, 0, -1/4, -1/4, 0, 0, 0, 1/2, 0, 0, 1/4, 0, -1/4, 0, 1/2, 0, 0, 0, 0, 1/4, 0, -1/4 ], [ 0, 1/4, -1/4, 0, 1/4, -1/4, 0, 0, 0, 0, 0, 0, -1/4, -1/2, 1/4, 0, 0, 0, 0, 0, 0, 1/4, -1/2, -1/4 ], [ 0, 1/4, 1/4, 0, -1/4, -1/4, 0, 0, 0, 0, 0, -1/2, -1/4, 0, 1/4, 0, 0, 0, -1/2, 0, 0, -1/4, 0, 1/4 ], [ -1/4, 0, 0, 1/4, 0, 0, 1/4, -1/4, -1/4, 1/4, 1/4, -1/4, 0, -1/4, 0, -1/4, -1/4, -1/4, 1/4, 1/4, 1/4, 0, 1/4, 0 ] ] , #### 94 ## Label: 14B_0 ## Order: 14 ## Centralizer: 112 ## Cycles: [ [ 1, 8 ], [ 2, 17 ], [ 7, 616 ], [ 14, 13729 ] ] ## Trace: 1 ## Factors: [ [ 1, 4 ], [ 2, 2 ], [ 7, 2 ], [ 14, 1 ] ] [ [ 0, 1/4, 1/4, 1/4, -1/4, 0, -1/4, 1/4, 0, 1/4, 0, 0, 1/4, 0, 0, -1/2, 0, 0, 0, 1/4, -1/4, 1/4, 0, 1/4 ], [ 0, 1/4, -1/4, 1/4, 1/4, 0, -1/4, 1/4, 0, -1/4, 0, 0, 1/4, 0, 0, 0, 1/2, 0, 0, 1/4, 1/4, -1/4, 0, -1/4 ], [ 1/4, 0, 1/2, 0, 0, -1/4, 0, 0, -1/4, 0, -1/4, -1/4, 0, -1/4, -1/4, 1/4, 1/4, -1/4, 1/4, 0, 0, 0, 1/4, 0 ], [ 0, 1/4, -1/4, -1/4, -1/4, -1/2, -1/4, -1/4, 0, 1/4, 0, 0, -1/4, 0, 0, 0, 0, 0, 0, 1/4, 1/4, 1/4, 0, -1/4 ], [ 0, -1/4, -1/4, -1/4, -1/4, 0, 1/4, 1/4, 0, -1/4, 0, 0, 1/4, 0, 0, 0, 0, 0, 1/2, 1/4, 1/4, 1/4, 0, 1/4 ], [ 0, -1/4, 1/4, -1/4, -1/4, 0, -1/4, 1/4, 1/2, -1/4, 0, 0, -1/4, 0, 0, 0, 0, 0, 0, 1/4, -1/4, -1/4, 0, -1/4 ], [ 0, 1/4, 1/4, -1/4, 1/4, 0, 1/4, -1/4, 0, -1/4, 0, 0, 1/4, 0, 0, 0, 0, 1/2, 0, 1/4, -1/4, 1/4, 0, -1/4 ], [ 1/4, 0, 0, 0, 0, 1/4, 0, 0, 1/4, 0, -1/4, -1/4, 0, -1/4, -1/4, -1/4, -1/4, 1/4, -1/4, 0, 1/2, 0, 1/4, 0 ], [ 0, -1/4, -1/4, -1/4, 1/4, 0, -1/4, 1/4, 0, 1/4, 0, -1/2, 1/4, 0, 0, 0, 0, 0, 0, -1/4, -1/4, 1/4, 0, -1/4 ], [ 0, 1/4, -1/4, 1/4, -1/4, 0, 1/4, 1/4, 0, -1/4, 0, 0, -1/4, 0, -1/2, 0, 0, 0, 0, -1/4, -1/4, 1/4, 0, -1/4 ], [ 0, 1/4, 1/4, -1/4, 1/4, 0, -1/4, 1/4, 0, -1/4, 0, 0, -1/4, 1/2, 0, 0, 0, 0, 0, -1/4, 1/4, 1/4, 0, 1/4 ], [ -1/4, 0, 0, 0, 0, -1/4, 0, 0, 1/4, 0, 1/4, -1/4, 0, -1/4, -1/4, 1/4, 1/4, 1/4, -1/4, 0, 0, 0, -1/4, 1/2 ], [ 1/4, -1/2, 0, 0, 0, -1/4, 0, 0, -1/4, 0, 1/4, 1/4, 0, 1/4, -1/4, -1/4, 1/4, 1/4, -1/4, 0, 0, 0, 1/4, 0 ], [ 1/4, 0, 0, 1/2, 0, -1/4, 0, 0, 1/4, 0, 1/4, -1/4, 0, 1/4, 1/4, 1/4, -1/4, 1/4, 1/4, 0, 0, 0, 1/4, 0 ], [ 0, -1/4, -1/4, 1/4, 1/4, 0, -1/4, -1/4, 0, -1/4, -1/2, 0, -1/4, 0, 0, 0, 0, 0, 0, 1/4, -1/4, 1/4, 0, 1/4 ], [ 1/4, 0, 0, 0, 0, 1/4, 0, 0, 1/4, 0, 1/4, 1/4, 0, -1/4, 1/4, 1/4, 1/4, -1/4, -1/4, 0, 0, 1/2, 1/4, 0 ], [ -1/4, 0, 0, 0, -1/2, 1/4, 0, 0, -1/4, 0, -1/4, -1/4, 0, 1/4, 1/4, 1/4, 1/4, 1/4, -1/4, 0, 0, 0, 1/4, 0 ], [ -1/4, 0, 0, 0, 0, -1/4, 0, 0, 1/4, 0, -1/4, 1/4, 1/2, 1/4, -1/4, 1/4, -1/4, -1/4, -1/4, 0, 0, 0, 1/4, 0 ], [ 1/4, 0, 0, 0, 0, 1/4, 0, 0, -1/4, 0, 1/4, -1/4, 0, 1/4, -1/4, 1/4, -1/4, -1/4, -1/4, 1/2, 0, 0, -1/4, 0 ], [ -1/2, -1/4, 1/4, 1/4, 1/4, 0, 1/4, 1/4, 0, 1/4, 0, 0, -1/4, 0, 0, 0, 0, 0, 0, 1/4, 1/4, 1/4, 0, -1/4 ], [ 1/4, 0, 0, 0, 0, 1/4, 0, 0, 1/4, 1/2, -1/4, 1/4, 0, 1/4, -1/4, 1/4, 1/4, 1/4, 1/4, 0, 0, 0, -1/4, 0 ], [ 1/4, 0, 0, 0, 0, -1/4, 1/2, 0, 1/4, 0, -1/4, -1/4, 0, 1/4, 1/4, -1/4, 1/4, -1/4, -1/4, 0, 0, 0, -1/4, 0 ], [ 0, 1/4, -1/4, -1/4, 1/4, 0, 1/4, 1/4, 0, 1/4, 0, 0, -1/4, 0, 0, 0, 0, 0, 0, 1/4, -1/4, -1/4, 1/2, 1/4 ], [ 1/4, 0, 0, 0, 0, -1/4, 0, 1/2, -1/4, 0, -1/4, 1/4, 0, -1/4, 1/4, 1/4, -1/4, 1/4, -1/4, 0, 0, 0, -1/4, 0 ] ] , #### 95 ## Label: 14B_1 ## Order: 14 ## Centralizer: 112 ## Cycles: [ [ 1, 2 ], [ 2, 20 ], [ 7, 34 ], [ 14, 14020 ] ] ## Trace: -1 ## Factors: [ [ 1, 2 ], [ 2, 4 ], [ 7, 1 ], [ 14, 2 ] ] [ [ 0, -1/4, -1/4, -1/4, 1/4, 0, 1/4, -1/4, 0, -1/4, 0, 0, -1/4, 0, 0, 1/2, 0, 0, 0, -1/4, 1/4, -1/4, 0, -1/4 ], [ 0, -1/4, 1/4, -1/4, -1/4, 0, 1/4, -1/4, 0, 1/4, 0, 0, -1/4, 0, 0, 0, -1/2, 0, 0, -1/4, -1/4, 1/4, 0, 1/4 ], [ -1/4, 0, -1/2, 0, 0, 1/4, 0, 0, 1/4, 0, 1/4, 1/4, 0, 1/4, 1/4, -1/4, -1/4, 1/4, -1/4, 0, 0, 0, -1/4, 0 ], [ 0, -1/4, 1/4, 1/4, 1/4, 1/2, 1/4, 1/4, 0, -1/4, 0, 0, 1/4, 0, 0, 0, 0, 0, 0, -1/4, -1/4, -1/4, 0, 1/4 ], [ 0, 1/4, 1/4, 1/4, 1/4, 0, -1/4, -1/4, 0, 1/4, 0, 0, -1/4, 0, 0, 0, 0, 0, -1/2, -1/4, -1/4, -1/4, 0, -1/4 ], [ 0, 1/4, -1/4, 1/4, 1/4, 0, 1/4, -1/4, -1/2, 1/4, 0, 0, 1/4, 0, 0, 0, 0, 0, 0, -1/4, 1/4, 1/4, 0, 1/4 ], [ 0, -1/4, -1/4, 1/4, -1/4, 0, -1/4, 1/4, 0, 1/4, 0, 0, -1/4, 0, 0, 0, 0, -1/2, 0, -1/4, 1/4, -1/4, 0, 1/4 ], [ -1/4, 0, 0, 0, 0, -1/4, 0, 0, -1/4, 0, 1/4, 1/4, 0, 1/4, 1/4, 1/4, 1/4, -1/4, 1/4, 0, -1/2, 0, -1/4, 0 ], [ 0, 1/4, 1/4, 1/4, -1/4, 0, 1/4, -1/4, 0, -1/4, 0, 1/2, -1/4, 0, 0, 0, 0, 0, 0, 1/4, 1/4, -1/4, 0, 1/4 ], [ 0, -1/4, 1/4, -1/4, 1/4, 0, -1/4, -1/4, 0, 1/4, 0, 0, 1/4, 0, 1/2, 0, 0, 0, 0, 1/4, 1/4, -1/4, 0, 1/4 ], [ 0, -1/4, -1/4, 1/4, -1/4, 0, 1/4, -1/4, 0, 1/4, 0, 0, 1/4, -1/2, 0, 0, 0, 0, 0, 1/4, -1/4, -1/4, 0, -1/4 ], [ 1/4, 0, 0, 0, 0, 1/4, 0, 0, -1/4, 0, -1/4, 1/4, 0, 1/4, 1/4, -1/4, -1/4, -1/4, 1/4, 0, 0, 0, 1/4, -1/2 ], [ -1/4, 1/2, 0, 0, 0, 1/4, 0, 0, 1/4, 0, -1/4, -1/4, 0, -1/4, 1/4, 1/4, -1/4, -1/4, 1/4, 0, 0, 0, -1/4, 0 ], [ -1/4, 0, 0, -1/2, 0, 1/4, 0, 0, -1/4, 0, -1/4, 1/4, 0, -1/4, -1/4, -1/4, 1/4, -1/4, -1/4, 0, 0, 0, -1/4, 0 ], [ 0, 1/4, 1/4, -1/4, -1/4, 0, 1/4, 1/4, 0, 1/4, 1/2, 0, 1/4, 0, 0, 0, 0, 0, 0, -1/4, 1/4, -1/4, 0, -1/4 ], [ -1/4, 0, 0, 0, 0, -1/4, 0, 0, -1/4, 0, -1/4, -1/4, 0, 1/4, -1/4, -1/4, -1/4, 1/4, 1/4, 0, 0, -1/2, -1/4, 0 ], [ 1/4, 0, 0, 0, 1/2, -1/4, 0, 0, 1/4, 0, 1/4, 1/4, 0, -1/4, -1/4, -1/4, -1/4, -1/4, 1/4, 0, 0, 0, -1/4, 0 ], [ 1/4, 0, 0, 0, 0, 1/4, 0, 0, -1/4, 0, 1/4, -1/4, -1/2, -1/4, 1/4, -1/4, 1/4, 1/4, 1/4, 0, 0, 0, -1/4, 0 ], [ -1/4, 0, 0, 0, 0, -1/4, 0, 0, 1/4, 0, -1/4, 1/4, 0, -1/4, 1/4, -1/4, 1/4, 1/4, 1/4, -1/2, 0, 0, 1/4, 0 ], [ 1/2, 1/4, -1/4, -1/4, -1/4, 0, -1/4, -1/4, 0, -1/4, 0, 0, 1/4, 0, 0, 0, 0, 0, 0, -1/4, -1/4, -1/4, 0, 1/4 ], [ -1/4, 0, 0, 0, 0, -1/4, 0, 0, -1/4, -1/2, 1/4, -1/4, 0, -1/4, 1/4, -1/4, -1/4, -1/4, -1/4, 0, 0, 0, 1/4, 0 ], [ -1/4, 0, 0, 0, 0, 1/4, -1/2, 0, -1/4, 0, 1/4, 1/4, 0, -1/4, -1/4, 1/4, -1/4, 1/4, 1/4, 0, 0, 0, 1/4, 0 ], [ 0, -1/4, 1/4, 1/4, -1/4, 0, -1/4, -1/4, 0, -1/4, 0, 0, 1/4, 0, 0, 0, 0, 0, 0, -1/4, 1/4, 1/4, -1/2, -1/4 ], [ -1/4, 0, 0, 0, 0, 1/4, 0, -1/2, 1/4, 0, 1/4, -1/4, 0, 1/4, -1/4, -1/4, 1/4, -1/4, 1/4, 0, 0, 0, 1/4, 0 ] ] , #### 96 ## Label: 15A_0 ## Order: 15 ## Centralizer: 10800 ## Cycles: [ [ 15, 13104 ] ] ## Trace: 3 ## Factors: [ [ 15, 3 ] ] [ [ -3/8, -1/8, -1/8, 3/8, -1/8, -1/8, -1/8, 1/8, 3/8, 1/8, -1/8, -1/8, -1/8, -1/8, 1/8, 3/8, 1/8, -1/8, -1/8, -1/8, 1/8, -3/8, 1/8, -1/8 ], [ -3/8, 3/8, -1/8, -1/8, -1/8, -1/8, -1/8, 1/8, -1/8, -3/8, -1/8, -1/8, 3/8, -1/8, 1/8, -1/8, 1/8, -1/8, -1/8, -1/8, 1/8, 1/8, 1/8, 3/8 ], [ -1/8, 1/8, 1/8, 1/8, 1/8, 1/8, 1/8, -1/8, -3/8, -1/8, 1/8, 1/8, -3/8, 1/8, -1/8, 1/8, 3/8, 1/8, -3/8, 1/8, 3/8, -1/8, -1/8, 1/8 ], [ 1/8, -1/8, 3/8, -1/8, -1/8, -1/8, 3/8, 1/8, -1/8, 1/8, -1/8, -1/8, -1/8, -1/8, 1/8, -1/8, -3/8, -1/8, -1/8, -1/8, 1/8, -3/8, 1/8, 3/8 ], [ 1/8, -1/8, 3/8, -1/8, -1/8, 3/8, -1/8, 1/8, -1/8, 1/8, -1/8, -1/8, 3/8, -1/8, 1/8, 3/8, 1/8, 3/8, -1/8, -1/8, 1/8, 1/8, 1/8, -1/8 ], [ 1/8, 3/8, -1/8, -1/8, -1/8, 3/8, -1/8, 1/8, -1/8, 1/8, -1/8, -1/8, -1/8, -1/8, 1/8, -1/8, 1/8, -1/8, -1/8, 3/8, -3/8, -3/8, 1/8, -1/8 ], [ -1/8, 1/8, 1/8, -3/8, 1/8, 1/8, -3/8, -1/8, 1/8, -1/8, 1/8, 1/8, -3/8, -3/8, -1/8, 1/8, -1/8, 1/8, 1/8, -3/8, -1/8, -1/8, -1/8, 1/8 ], [ 1/8, -1/8, -1/8, -1/8, -1/8, -1/8, -1/8, 1/8, -1/8, -3/8, -1/8, -1/8, -1/8, 3/8, 1/8, -1/8, 1/8, 3/8, 3/8, -1/8, 1/8, -3/8, 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-1/8, -1/8, 1/8, 1/8, 1/8, -1/8 ], [ -1/8, 1/8, 1/8, 1/8, 1/8, 1/8, 1/8, -1/8, 1/8, -1/8, 5/8, 1/8, 1/8, 1/8, 3/8, 1/8, -1/8, 1/8, 1/8, 1/8, -1/8, -1/8, 3/8, 1/8 ], [ -1/8, 1/8, 1/8, 1/8, 1/8, 1/8, 1/8, -1/8, 1/8, -1/8, -3/8, 1/8, 1/8, 1/8, -5/8, 1/8, -1/8, 1/8, 1/8, 1/8, -1/8, -1/8, 3/8, 1/8 ], [ -1/8, -3/8, -3/8, -3/8, -3/8, 1/8, 1/8, -1/8, 1/8, -1/8, 1/8, 1/8, 1/8, 1/8, -1/8, 1/8, -1/8, 1/8, -3/8, 1/8, -1/8, -1/8, -1/8, 1/8 ], [ 1/8, -1/8, -1/8, -1/8, 3/8, -1/8, 3/8, 1/8, -1/8, -3/8, -1/8, -1/8, -1/8, -1/8, 1/8, 3/8, 1/8, -1/8, -1/8, -1/8, -3/8, 1/8, 1/8, -1/8 ] ] , #### 98 ## Label: 15B_0 ## Order: 15 ## Centralizer: 1800 ## Cycles: [ [ 3, 40 ], [ 15, 13096 ] ] ## Trace: -2 ## Factors: [ [ 3, 4 ], [ 15, 2 ] ] [ [ -3/8, 1/8, -1/8, 3/8, 1/8, 1/8, -1/8, 3/8, 1/8, 1/8, -3/8, 1/8, -1/8, -1/8, -1/8, -1/8, -1/8, -1/8, 1/8, 1/8, -3/8, 1/8, -1/8, -1/8 ], [ -1/8, -1/8, 1/8, 1/8, -1/8, -5/8, 1/8, 1/8, -1/8, -1/8, -1/8, 3/8, 1/8, 1/8, 1/8, 1/8, 1/8, 1/8, -1/8, -1/8, -1/8, 3/8, 1/8, 1/8 ], [ 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] , #### 99 ## Label: 15B_1 ## Order: 30 ## Centralizer: 1800 ## Cycles: [ [ 6, 20 ], [ 30, 6548 ] ] ## Trace: 2 ## Factors: [ [ 6, 4 ], [ 30, 2 ] ] [ [ 3/8, -1/8, 1/8, -3/8, -1/8, -1/8, 1/8, -3/8, -1/8, -1/8, 3/8, -1/8, 1/8, 1/8, 1/8, 1/8, 1/8, 1/8, -1/8, -1/8, 3/8, -1/8, 1/8, 1/8 ], [ 1/8, 1/8, -1/8, -1/8, 1/8, 5/8, -1/8, -1/8, 1/8, 1/8, 1/8, -3/8, -1/8, -1/8, -1/8, -1/8, -1/8, -1/8, 1/8, 1/8, 1/8, -3/8, -1/8, -1/8 ], [ 3/8, -1/8, 1/8, 1/8, -1/8, -1/8, 1/8, 1/8, 3/8, 3/8, -1/8, -1/8, 1/8, 1/8, 1/8, -3/8, -3/8, 1/8, -1/8, -1/8, -1/8, -1/8, 1/8, 1/8 ], [ 1/8, 1/8, -1/8, 3/8, 1/8, 1/8, -1/8, -1/8, 1/8, 1/8, 1/8, 1/8, -1/8, 3/8, -1/8, -1/8, 3/8, 3/8, -3/8, 1/8, 1/8, 1/8, -1/8, -1/8 ], [ 1/8, 1/8, -1/8, 3/8, 1/8, 1/8, -1/8, -1/8, 1/8, 1/8, 1/8, 1/8, 3/8, -1/8, 3/8, 3/8, -1/8, -1/8, 1/8, -3/8, 1/8, 1/8, -1/8, -1/8 ], [ 1/8, -3/8, -1/8, -1/8, 1/8, 1/8, 3/8, 3/8, 1/8, 1/8, 1/8, 1/8, -1/8, -1/8, 3/8, -1/8, 3/8, -1/8, 1/8, 1/8, 1/8, 1/8, -1/8, -1/8 ], [ -1/8, -1/8, -3/8, 1/8, 3/8, -1/8, 1/8, -3/8, -1/8, -1/8, -1/8, -1/8, 1/8, 1/8, 1/8, -3/8, 1/8, -3/8, -1/8, -1/8, -1/8, -1/8, 1/8, 1/8 ], [ 3/8, -1/8, 1/8, 1/8, -1/8, -1/8, 1/8, 1/8, -1/8, -1/8, -1/8, -1/8, 1/8, 1/8, -3/8, 1/8, 1/8, -3/8, -1/8, -1/8, -1/8, -1/8, -3/8, -3/8 ], [ 1/8, 1/8, -1/8, -1/8, 1/8, -3/8, -1/8, -1/8, 1/8, 1/8, 1/8, -3/8, -1/8, -1/8, -1/8, -1/8, -1/8, -1/8, 1/8, 1/8, 1/8, 5/8, -1/8, -1/8 ], [ -1/8, -1/8, 1/8, 1/8, -1/8, -1/8, -3/8, 1/8, -1/8, -1/8, 3/8, -1/8, 1/8, -3/8, 1/8, -3/8, 1/8, 1/8, -1/8, -1/8, -1/8, -1/8, -3/8, 1/8 ], [ -1/8, -1/8, 1/8, 1/8, -1/8, -1/8, 1/8, -3/8, -1/8, 3/8, -1/8, -1/8, 1/8, 1/8, 1/8, 1/8, 1/8, 1/8, 3/8, 3/8, -1/8, -1/8, -3/8, 1/8 ], [ 1/8, 1/8, -1/8, -1/8, 1/8, 1/8, 3/8, -1/8, -3/8, 1/8, 1/8, 1/8, -1/8, -1/8, -1/8, -1/8, -1/8, 3/8, 1/8, -3/8, -3/8, 1/8, -1/8, -1/8 ], [ 3/8, 3/8, -3/8, 1/8, -1/8, -1/8, 1/8, 1/8, -1/8, -1/8, -1/8, -1/8, 1/8, -3/8, 1/8, 1/8, 1/8, 1/8, -1/8, 3/8, -1/8, -1/8, 1/8, 1/8 ], [ -1/8, -1/8, -3/8, 1/8, -1/8, -1/8, 1/8, 1/8, -1/8, -1/8, -1/8, -1/8, -3/8, 1/8, 1/8, 1/8, -3/8, 1/8, -1/8, -1/8, 3/8, -1/8, -3/8, 1/8 ], [ -1/8, -1/8, -3/8, -3/8, -1/8, -1/8, -3/8, 1/8, -1/8, 3/8, -1/8, -1/8, 1/8, 1/8, 1/8, 1/8, 1/8, 1/8, -1/8, -1/8, -1/8, -1/8, 1/8, -3/8 ], [ -1/8, -1/8, 1/8, 1/8, 3/8, -1/8, 1/8, 1/8, -1/8, 3/8, -1/8, -1/8, 1/8, -3/8, -3/8, 1/8, 1/8, 1/8, -1/8, -1/8, 3/8, -1/8, 1/8, 1/8 ], [ -1/8, -1/8, -3/8, 1/8, -1/8, -1/8, 1/8, 1/8, 3/8, -1/8, 3/8, -1/8, 1/8, 1/8, -3/8, 1/8, 1/8, 1/8, 3/8, -1/8, -1/8, -1/8, 1/8, 1/8 ], [ -1/8, 3/8, 1/8, -3/8, 3/8, -1/8, 1/8, 1/8, 3/8, -1/8, -1/8, -1/8, 1/8, 1/8, 1/8, 1/8, 1/8, 1/8, -1/8, -1/8, -1/8, -1/8, -3/8, 1/8 ], [ -1/8, -1/8, 1/8, 1/8, 3/8, -1/8, 1/8, 1/8, -1/8, -1/8, 3/8, -1/8, 1/8, 1/8, 1/8, 1/8, -3/8, 1/8, -1/8, 3/8, -1/8, -1/8, 1/8, -3/8 ], [ 3/8, -1/8, 1/8, 1/8, 3/8, -1/8, -3/8, 1/8, -1/8, -1/8, -1/8, -1/8, -3/8, 1/8, 1/8, 1/8, 1/8, 1/8, 3/8, -1/8, -1/8, -1/8, 1/8, 1/8 ], [ -1/8, 3/8, 1/8, 1/8, -1/8, -1/8, 1/8, 1/8, -1/8, 3/8, 3/8, -1/8, -3/8, 1/8, 1/8, 1/8, 1/8, -3/8, -1/8, -1/8, -1/8, -1/8, 1/8, 1/8 ], [ 1/8, 1/8, -1/8, -1/8, 1/8, 1/8, -1/8, 3/8, -3/8, 1/8, 1/8, 1/8, 3/8, 3/8, -1/8, -1/8, -1/8, -1/8, 1/8, 1/8, 1/8, 1/8, -1/8, 3/8 ], [ 1/8, -3/8, -1/8, -1/8, 1/8, 1/8, -1/8, -1/8, 1/8, 1/8, 1/8, 1/8, -1/8, -1/8, -1/8, 3/8, -1/8, -1/8, -3/8, 1/8, -3/8, 1/8, -1/8, 3/8 ], [ -1/8, -1/8, 1/8, 1/8, -1/8, 3/8, 1/8, 1/8, -1/8, -1/8, -1/8, -5/8, 1/8, 1/8, 1/8, 1/8, 1/8, 1/8, -1/8, -1/8, -1/8, 3/8, 1/8, 1/8 ] ] , #### 100 ## Label: 15C_0 ## Order: 15 ## Centralizer: 360 ## Cycles: [ [ 15, 13104 ] ] ## Trace: 0 ## Factors: [ [ 5, 2 ], [ 15, 2 ] ] [ [ -1/4, -1/4, 0, -1/4, 0, 0, 0, 1/4, -1/4, 1/4, 1/4, 0, 0, 0, 1/4, 0, -1/2, 0, 0, 1/4, 1/4, -1/4, 0, 1/4 ], [ 0, 0, 1/4, 0, -1/4, -1/4, -1/4, 0, 0, 0, 0, 1/4, -1/4, 1/4, 1/2, -1/4, 1/4, 1/4, 1/4, 0, 0, 0, 1/4, 0 ], [ -1/4, 1/4, 0, 1/4, 0, 0, 0, 1/4, 1/4, 1/4, -1/4, 0, 0, 0, 1/4, 0, 0, 0, 0, -1/4, 1/4, -1/4, -1/2, -1/4 ], [ 0, 0, 1/4, 0, 1/4, -1/4, 1/4, 0, 0, 0, 0, 1/4, 1/4, 1/4, 0, -1/4, 1/4, -1/4, -1/4, 0, 0, 0, -1/4, 1/2 ], [ 0, 0, -1/4, 0, -1/4, -1/4, 1/4, 0, -1/2, 0, 0, 1/4, -1/4, -1/4, 0, 1/4, 1/4, 1/4, -1/4, 0, 0, 0, -1/4, 0 ], [ 1/4, 1/4, 0, -1/4, 0, 0, 0, 1/4, -1/4, 1/4, 1/4, 0, 0, 0, -1/4, -1/2, 0, 0, 0, -1/4, 1/4, 1/4, 0, -1/4 ], [ -1/4, 1/4, 0, -1/4, 0, 0, 0, -1/4, 1/4, 1/4, 1/4, 0, 0, 0, -1/4, 0, 0, 1/2, 0, -1/4, -1/4, -1/4, 0, 1/4 ], [ 0, 0, 1/4, 0, -1/4, 1/4, 1/4, 0, 0, 1/2, 0, -1/4, -1/4, 1/4, 0, 1/4, 1/4, -1/4, -1/4, 0, 0, 0, 1/4, 0 ], [ 0, 0, 1/4, -1/2, 1/4, -1/4, -1/4, 0, 0, 0, 0, -1/4, -1/4, -1/4, 0, 1/4, 1/4, -1/4, 1/4, 0, 0, 0, -1/4, 0 ], [ -1/4, -1/4, 0, 1/4, 0, 0, 0, -1/4, -1/4, 1/4, -1/4, 0, 0, 0, -1/4, 0, 0, 0, 1/2, -1/4, 1/4, 1/4, 0, 1/4 ], [ 1/2, 0, 1/4, 0, -1/4, -1/4, 1/4, 0, 0, 0, 0, -1/4, 1/4, 1/4, 0, 1/4, -1/4, 1/4, 1/4, 0, 0, 0, -1/4, 0 ], [ 1/4, 1/4, 0, 1/4, 0, 0, 0, -1/4, 1/4, 1/4, 1/4, 0, 0, -1/2, 1/4, 0, 0, 0, 0, 1/4, 1/4, 1/4, 0, 1/4 ], [ 1/4, -1/4, 0, -1/4, 0, 0, 0, -1/4, 1/4, 1/4, -1/4, 1/2, 0, 0, -1/4, 0, 0, 0, 0, 1/4, 1/4, -1/4, 0, -1/4 ], [ 0, 1/2, -1/4, 0, 1/4, -1/4, 1/4, 0, 0, 0, 0, 1/4, -1/4, 1/4, 0, 1/4, -1/4, -1/4, 1/4, 0, 0, 0, 1/4, 0 ], [ 0, 0, -1/4, 0, 1/4, -1/4, -1/4, 0, 0, 0, 0, -1/4, 1/4, 1/4, 0, 1/4, 1/4, 1/4, -1/4, 0, 1/2, 0, 1/4, 0 ], [ 1/4, -1/4, 0, 1/4, 1/2, 0, 0, -1/4, -1/4, 1/4, 1/4, 0, 0, 0, 1/4, 0, 0, 0, 0, -1/4, -1/4, -1/4, 0, -1/4 ], [ 1/4, -1/4, -1/2, -1/4, 0, 0, 0, 1/4, 1/4, 1/4, -1/4, 0, 0, 0, 1/4, 0, 0, 0, 0, -1/4, -1/4, 1/4, 0, 1/4 ], [ 0, 0, -1/4, 0, -1/4, -1/4, 1/4, 0, 0, 0, 0, -1/4, 1/4, -1/4, 0, -1/4, 1/4, -1/4, 1/4, 0, 0, -1/2, 1/4, 0 ], [ 1/4, 1/4, 0, 1/4, 0, 0, -1/2, 1/4, -1/4, 1/4, -1/4, 0, 0, 0, -1/4, 0, 0, 0, 0, 1/4, -1/4, -1/4, 0, 1/4 ], [ 0, 0, 1/4, 0, 1/4, -1/4, 1/4, 0, 0, 0, -1/2, -1/4, -1/4, -1/4, 0, -1/4, -1/4, 1/4, -1/4, 0, 0, 0, 1/4, 0 ], [ -1/4, 1/4, 0, -1/4, 0, 0, 0, -1/4, -1/4, 1/4, -1/4, 0, 1/2, 0, 1/4, 0, 0, 0, 0, 1/4, -1/4, 1/4, 0, -1/4 ], [ 0, 0, -1/4, 0, -1/4, -1/4, -1/4, -1/2, 0, 0, 0, -1/4, -1/4, 1/4, 0, -1/4, -1/4, -1/4, -1/4, 0, 0, 0, -1/4, 0 ], [ 0, 0, 1/4, 0, -1/4, -1/4, -1/4, 0, 0, 0, 0, 1/4, 1/4, -1/4, 0, 1/4, -1/4, -1/4, -1/4, -1/2, 0, 0, 1/4, 0 ], [ 1/4, 1/4, 0, -1/4, 0, 1/2, 0, -1/4, -1/4, -1/4, -1/4, 0, 0, 0, 1/4, 0, 0, 0, 0, -1/4, 1/4, -1/4, 0, 1/4 ] ] , #### 101 ## Label: 15C_1 ## Order: 30 ## Centralizer: 360 ## Cycles: [ [ 30, 6552 ] ] ## Trace: 0 ## Factors: [ [ 10, 2 ], [ 30, 2 ] ] [ [ 1/4, 1/4, 0, 1/4, 0, 0, 0, -1/4, 1/4, -1/4, -1/4, 0, 0, 0, -1/4, 0, 1/2, 0, 0, -1/4, -1/4, 1/4, 0, -1/4 ], [ 0, 0, -1/4, 0, 1/4, 1/4, 1/4, 0, 0, 0, 0, -1/4, 1/4, -1/4, -1/2, 1/4, -1/4, -1/4, -1/4, 0, 0, 0, -1/4, 0 ], [ 1/4, -1/4, 0, -1/4, 0, 0, 0, -1/4, -1/4, -1/4, 1/4, 0, 0, 0, -1/4, 0, 0, 0, 0, 1/4, -1/4, 1/4, 1/2, 1/4 ], [ 0, 0, -1/4, 0, -1/4, 1/4, -1/4, 0, 0, 0, 0, -1/4, -1/4, -1/4, 0, 1/4, -1/4, 1/4, 1/4, 0, 0, 0, 1/4, -1/2 ], [ 0, 0, 1/4, 0, 1/4, 1/4, -1/4, 0, 1/2, 0, 0, -1/4, 1/4, 1/4, 0, -1/4, -1/4, -1/4, 1/4, 0, 0, 0, 1/4, 0 ], [ -1/4, -1/4, 0, 1/4, 0, 0, 0, -1/4, 1/4, -1/4, -1/4, 0, 0, 0, 1/4, 1/2, 0, 0, 0, 1/4, -1/4, -1/4, 0, 1/4 ], [ 1/4, -1/4, 0, 1/4, 0, 0, 0, 1/4, -1/4, 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0, 0, 0, -1/4, 0, 0, 0, 0, 1/4, 1/4, 1/4, 0, 1/4 ], [ -1/4, 1/4, 1/2, 1/4, 0, 0, 0, -1/4, -1/4, -1/4, 1/4, 0, 0, 0, -1/4, 0, 0, 0, 0, 1/4, 1/4, -1/4, 0, -1/4 ], [ 0, 0, 1/4, 0, 1/4, 1/4, -1/4, 0, 0, 0, 0, 1/4, -1/4, 1/4, 0, 1/4, -1/4, 1/4, -1/4, 0, 0, 1/2, -1/4, 0 ], [ -1/4, -1/4, 0, -1/4, 0, 0, 1/2, -1/4, 1/4, -1/4, 1/4, 0, 0, 0, 1/4, 0, 0, 0, 0, -1/4, 1/4, 1/4, 0, -1/4 ], [ 0, 0, -1/4, 0, -1/4, 1/4, -1/4, 0, 0, 0, 1/2, 1/4, 1/4, 1/4, 0, 1/4, 1/4, -1/4, 1/4, 0, 0, 0, -1/4, 0 ], [ 1/4, -1/4, 0, 1/4, 0, 0, 0, 1/4, 1/4, -1/4, 1/4, 0, -1/2, 0, -1/4, 0, 0, 0, 0, -1/4, 1/4, -1/4, 0, 1/4 ], [ 0, 0, 1/4, 0, 1/4, 1/4, 1/4, 1/2, 0, 0, 0, 1/4, 1/4, -1/4, 0, 1/4, 1/4, 1/4, 1/4, 0, 0, 0, 1/4, 0 ], [ 0, 0, -1/4, 0, 1/4, 1/4, 1/4, 0, 0, 0, 0, -1/4, -1/4, 1/4, 0, -1/4, 1/4, 1/4, 1/4, 1/2, 0, 0, -1/4, 0 ], [ -1/4, -1/4, 0, 1/4, 0, -1/2, 0, 1/4, 1/4, 1/4, 1/4, 0, 0, 0, -1/4, 0, 0, 0, 0, 1/4, -1/4, 1/4, 0, -1/4 ] ] , #### 102 ## Label: 15D_0 ## Order: 15 ## Centralizer: 180 ## Cycles: [ [ 1, 6 ], [ 3, 38 ], [ 5, 150 ], [ 15, 13046 ] ] ## Trace: 1 ## Factors: [ [ 1, 4 ], [ 3, 2 ], [ 5, 2 ], [ 15, 1 ] ] [ [ -1/8, -1/8, 1/8, -1/8, 3/8, 1/8, 3/8, -1/8, -1/8, -1/8, 1/8, -1/8, -1/8, 1/8, -1/8, -1/8, -3/8, -1/8, -3/8, 1/8, -1/8, -1/8, -3/8, -1/8 ], [ -1/8, -1/8, 1/8, -1/8, -1/8, -3/8, -1/8, 3/8, -1/8, -1/8, 1/8, -1/8, -1/8, 1/8, -1/8, -1/8, 1/8, 3/8, 1/8, -3/8, -1/8, -1/8, -3/8, -1/8 ], [ 1/8, 1/8, -1/8, 1/8, -3/8, 3/8, 1/8, 1/8, -3/8, 1/8, -1/8, -3/8, 1/8, -1/8, 1/8, 1/8, -1/8, 1/8, -1/8, -1/8, 1/8, 1/8, -1/8, -3/8 ], [ -1/8, -1/8, 1/8, 3/8, -1/8, 1/8, -1/8, 3/8, 3/8, -1/8, 1/8, -1/8, -1/8, 1/8, 3/8, -1/8, 1/8, -1/8, -3/8, 1/8, -1/8, -1/8, 1/8, -1/8 ], [ -1/8, -1/8, 1/8, -1/8, -1/8, 1/8, -1/8, -1/8, -1/8, -1/8, 1/8, -1/8, -1/8, -3/8, -1/8, 3/8, 1/8, -1/8, -3/8, -3/8, -1/8, -1/8, 1/8, 3/8 ], [ 1/8, 1/8, -1/8, 1/8, 1/8, -1/8, 1/8, 1/8, 1/8, -3/8, -1/8, -3/8, 1/8, -1/8, 1/8, 1/8, -1/8, -3/8, 3/8, -1/8, 1/8, -3/8, -1/8, 1/8 ], [ -1/8, -1/8, 1/8, -1/8, -1/8, -3/8, 3/8, -1/8, -1/8, -1/8, 1/8, 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1/8, -1/8, 1/8, 1/8, -3/8, -3/8, -1/8, 1/8, -3/8, -1/8, 1/8, -3/8, -1/8, 1/8, -1/8, -1/8, 1/8, 1/8, 3/8, 1/8 ], [ -1/8, 3/8, 1/8, -1/8, -1/8, -3/8, -1/8, -1/8, -1/8, -1/8, -3/8, -1/8, 3/8, 1/8, -1/8, -1/8, 1/8, -1/8, -3/8, 1/8, -1/8, -1/8, 1/8, -1/8 ], [ -1/8, -1/8, 1/8, -1/8, 3/8, 1/8, -1/8, 3/8, -1/8, -1/8, 1/8, -1/8, 3/8, -3/8, -1/8, -1/8, 1/8, -1/8, 1/8, 1/8, -1/8, 3/8, 1/8, -1/8 ] ] , #### 103 ## Label: 15D_1 ## Order: 30 ## Centralizer: 180 ## Cycles: [ [ 2, 3 ], [ 6, 19 ], [ 10, 75 ], [ 30, 6523 ] ] ## Trace: -1 ## Factors: [ [ 2, 4 ], [ 6, 2 ], [ 10, 2 ], [ 30, 1 ] ] [ [ 1/8, 1/8, -1/8, 1/8, -3/8, -1/8, -3/8, 1/8, 1/8, 1/8, -1/8, 1/8, 1/8, -1/8, 1/8, 1/8, 3/8, 1/8, 3/8, -1/8, 1/8, 1/8, 3/8, 1/8 ], [ 1/8, 1/8, -1/8, 1/8, 1/8, 3/8, 1/8, -3/8, 1/8, 1/8, -1/8, 1/8, 1/8, -1/8, 1/8, 1/8, -1/8, -3/8, -1/8, 3/8, 1/8, 1/8, 3/8, 1/8 ], [ -1/8, -1/8, 1/8, -1/8, 3/8, -3/8, -1/8, -1/8, 3/8, -1/8, 1/8, 3/8, -1/8, 1/8, -1/8, -1/8, 1/8, -1/8, 1/8, 1/8, -1/8, -1/8, 1/8, 3/8 ], [ 1/8, 1/8, -1/8, 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1/8, -1/8, 1/8 ], [ -1/8, -1/8, 1/8, -1/8, -1/8, 1/8, 3/8, 3/8, -1/8, 3/8, -3/8, -1/8, -1/8, 1/8, -1/8, -1/8, 1/8, -1/8, 1/8, 1/8, -1/8, -1/8, 1/8, 3/8 ], [ 1/8, -3/8, -1/8, 1/8, 1/8, -1/8, 1/8, -3/8, 1/8, 1/8, -1/8, -3/8, 1/8, -1/8, 1/8, -3/8, 3/8, 1/8, -1/8, -1/8, 1/8, 1/8, -1/8, 1/8 ], [ -3/8, 1/8, -5/8, 1/8, 1/8, -1/8, 1/8, 1/8, 1/8, 1/8, -1/8, 1/8, 1/8, -1/8, 1/8, 1/8, -1/8, 1/8, -1/8, -1/8, -3/8, 1/8, -1/8, 1/8 ], [ -1/8, -1/8, 1/8, -1/8, -1/8, 1/8, -1/8, -1/8, 3/8, 3/8, 1/8, -1/8, 3/8, 1/8, -1/8, 3/8, 1/8, -1/8, 1/8, 1/8, -1/8, -1/8, -3/8, -1/8 ], [ 1/8, -3/8, -1/8, 1/8, 1/8, 3/8, 1/8, 1/8, 1/8, 1/8, 3/8, 1/8, -3/8, -1/8, 1/8, 1/8, -1/8, 1/8, 3/8, -1/8, 1/8, 1/8, -1/8, 1/8 ], [ 1/8, 1/8, -1/8, 1/8, -3/8, -1/8, 1/8, -3/8, 1/8, 1/8, -1/8, 1/8, -3/8, 3/8, 1/8, 1/8, -1/8, 1/8, -1/8, -1/8, 1/8, -3/8, -1/8, 1/8 ] ] , #### 104 ## Label: 15E_0 ## Order: 15 ## Centralizer: 60 ## Cycles: [ [ 1, 4 ], [ 3, 2 ], [ 5, 10 ], [ 15, 13100 ] ] ## Trace: 2 ## Factors: [ [ 1, 2 ], [ 3, 1 ], [ 5, 1 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1/8, -3/8, -1/8 ], [ -3/8, 1/8, -1/8, 3/8, -1/8, 1/8, -1/8, 1/8, 1/8, 1/8, 1/8, -3/8, -3/8, -1/8, -1/8, 1/8, 3/8, -1/8, -1/8, -1/8, 1/8, -1/8, -1/8, 1/8 ], [ -1/8, -5/8, 1/8, 1/8, 1/8, 3/8, 1/8, -1/8, -1/8, -1/8, -1/8, -1/8, -1/8, 1/8, 1/8, -1/8, 1/8, 1/8, 1/8, 1/8, -1/8, 1/8, 1/8, 3/8 ] ] , #### 105 ## Label: 15E_1 ## Order: 30 ## Centralizer: 60 ## Cycles: [ [ 2, 2 ], [ 6, 1 ], [ 10, 5 ], [ 30, 6550 ] ] ## Trace: -2 ## Factors: [ [ 2, 2 ], [ 6, 1 ], [ 10, 1 ], [ 30, 2 ] ] [ [ -1/8, -1/8, 1/8, 1/8, 1/8, -1/8, 1/8, -1/8, -1/8, -1/8, -1/8, 3/8, -1/8, 1/8, 1/8, 3/8, 1/8, 1/8, -3/8, 1/8, 3/8, -3/8, 1/8, -1/8 ], [ 1/8, 1/8, -1/8, -1/8, 3/8, 1/8, 3/8, 1/8, 1/8, 1/8, 1/8, -3/8, 1/8, 3/8, -1/8, 1/8, -1/8, 3/8, -1/8, -1/8, 1/8, -1/8, -1/8, 1/8 ], [ 3/8, -1/8, -3/8, 1/8, 1/8, -1/8, 1/8, -1/8, -1/8, 3/8, -1/8, -1/8, -1/8, 1/8, 1/8, 3/8, 1/8, -3/8, 1/8, 1/8, -1/8, 1/8, 1/8, -1/8 ], [ -1/8, -1/8, 1/8, -3/8, 1/8, -1/8, 1/8, 3/8, -1/8, -1/8, -1/8, -1/8, -1/8, 1/8, 1/8, -1/8, 1/8, -3/8, 1/8, -3/8, 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1/8, 1/8, -1/8, -3/8, -3/8, -1/8, -1/8, 3/8, -3/8 ], [ 1/8, 1/8, -1/8, 1/8, -1/8, 1/8, 1/8, 1/8, 3/8, 1/8, -3/8, -3/8, 1/8, 1/8, 3/8, -3/8, 1/8, -1/8, 1/8, 1/8, -1/8, -1/8, -1/8, 1/8 ], [ -1/8, -1/8, 1/8, -1/8, 1/8, 3/8, -1/8, 3/8, 1/8, -1/8, 3/8, -1/8, -1/8, -1/8, 1/8, -1/8, -1/8, 1/8, -1/8, -1/8, -3/8, 1/8, -3/8, -1/8 ], [ -3/8, 1/8, -1/8, 1/8, -1/8, 1/8, -3/8, 1/8, -1/8, 1/8, 1/8, 1/8, 1/8, 1/8, 3/8, 1/8, 1/8, -1/8, -3/8, 1/8, 3/8, -1/8, -1/8, 1/8 ] ] , #### 109 ## Label: 18A_0 ## Order: 18 ## Centralizer: 432 ## Cycles: [ [ 6, 9 ], [ 9, 480 ], [ 18, 10677 ] ] ## Trace: -1 ## Factors: [ [ 3, 2 ], [ 6, 1 ], [ 9, 2 ], [ 18, 1 ] ] [ [ 0, 0, 0, -1/4, 0, 0, 0, -1/4, 0, -1/2, 0, -1/4, 0, 1/2, 0, -1/4, 1/4, 0, 0, 0, 0, 1/4, 1/4, 1/4 ], [ 0, 0, 0, -1/4, 0, 0, 0, -1/4, 0, 0, 0, 1/4, 0, 0, 0, 1/4, 1/4, -1/2, 0, 1/2, 0, -1/4, 1/4, -1/4 ], [ 0, 0, 0, 1/4, 0, 0, 0, 1/4, 0, -1/2, 0, 1/4, 0, 1/2, 0, 1/4, -1/4, 0, 0, 0, 0, -1/4, -1/4, -1/4 ], [ 0, 0, 0, -1/4, 0, 0, 0, -1/4, 0, 0, 0, 1/4, 0, 0, 0, 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-1/4, -1/4, 0, -1/4, -1/4, -1/4, 0, 0, -1/4, -1/4, -1/4, -1/4, 0, 0, 0 ], [ -1/4, -1/4, -1/4, 0, -1/4, -1/4, -1/4, 0, -1/4, 1/4, -1/4, 0, -1/4, 1/4, -1/4, 0, 0, 1/4, 1/4, 1/4, 1/4, 0, 0, 0 ] ] , #### 110 ## Label: 18A_1 ## Order: 18 ## Centralizer: 432 ## Cycles: [ [ 3, 2 ], [ 6, 8 ], [ 9, 26 ], [ 18, 10904 ] ] ## Trace: 1 ## Factors: [ [ 3, 1 ], [ 6, 2 ], [ 9, 1 ], [ 18, 2 ] ] [ [ 0, 0, 0, 1/4, 0, 0, 0, 1/4, 0, 1/2, 0, 1/4, 0, -1/2, 0, 1/4, -1/4, 0, 0, 0, 0, -1/4, -1/4, -1/4 ], [ 0, 0, 0, 1/4, 0, 0, 0, 1/4, 0, 0, 0, -1/4, 0, 0, 0, -1/4, -1/4, 1/2, 0, -1/2, 0, 1/4, -1/4, 1/4 ], [ 0, 0, 0, -1/4, 0, 0, 0, -1/4, 0, 1/2, 0, -1/4, 0, -1/2, 0, -1/4, 1/4, 0, 0, 0, 0, 1/4, 1/4, 1/4 ], [ 0, 0, 0, 1/4, 0, 0, 0, 1/4, 0, 0, 0, -1/4, 0, 0, 0, -1/4, -1/4, -1/2, 0, 1/2, 0, 1/4, -1/4, 1/4 ], [ 0, 0, 1/2, 1/4, 0, 0, 0, -1/4, 0, 0, -1/2, -1/4, 0, 0, 0, 1/4, 1/4, 0, 0, 0, 0, 1/4, -1/4, -1/4 ], [ 0, 0, -1/2, 1/4, 0, 0, 0, -1/4, 0, 0, 1/2, -1/4, 0, 0, 0, 1/4, 1/4, 0, 0, 0, 0, 1/4, -1/4, -1/4 ], [ 1/2, 0, 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], [ 9, 480 ], [ 18, 10677 ] ] ## Trace: 2 ## Factors: [ [ 1, 2 ], [ 3, 1 ], [ 6, 1 ], [ 9, 2 ], [ 18, 1 ] ] [ [ -1/8, 1/8, -1/8, -1/8, -1/8, -1/8, 1/8, 3/8, 1/8, 1/8, 1/8, -1/8, -1/8, 1/8, 1/8, -3/8, -3/8, 1/8, 1/8, 3/8, 1/8, 3/8, -1/8, -1/8 ], [ 3/8, 1/8, -1/8, -1/8, -1/8, -1/8, 1/8, -1/8, 1/8, 1/8, 1/8, 3/8, 3/8, 1/8, 1/8, -3/8, 1/8, -3/8, 1/8, -1/8, 1/8, -1/8, -1/8, -1/8 ], [ -1/8, 1/8, 3/8, -1/8, -1/8, -1/8, 1/8, -1/8, 1/8, 1/8, -3/8, -1/8, -1/8, 1/8, 1/8, 1/8, 1/8, -3/8, 1/8, -1/8, 1/8, 3/8, -1/8, 3/8 ], [ 1/8, 3/8, 1/8, 1/8, 1/8, 1/8, -1/8, 1/8, -1/8, 3/8, -1/8, 1/8, 1/8, -1/8, -1/8, -1/8, -1/8, 3/8, 3/8, -3/8, -1/8, 1/8, 1/8, 1/8 ], [ 3/8, 1/8, 3/8, 3/8, -1/8, -1/8, 1/8, -1/8, 1/8, -3/8, 1/8, -1/8, -1/8, 1/8, 1/8, 1/8, -3/8, 1/8, 1/8, -1/8, 1/8, -1/8, -1/8, -1/8 ], [ 1/8, -1/8, 1/8, 1/8, -3/8, 1/8, -1/8, 1/8, -1/8, -1/8, -1/8, 1/8, -3/8, -1/8, -1/8, -1/8, 3/8, -1/8, 3/8, 1/8, -1/8, 1/8, 1/8, -3/8 ], [ -1/8, -3/8, -1/8, -1/8, -1/8, -1/8, 1/8, -1/8, -3/8, 1/8, -3/8, 3/8, -1/8, 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-1/8, -1/8 ], [ 1/8, 3/8, 1/8, -3/8, 1/8, 1/8, 3/8, 1/8, -1/8, -1/8, -1/8, 1/8, -3/8, -1/8, -1/8, -1/8, -1/8, -1/8, -1/8, 1/8, -1/8, -3/8, 1/8, 1/8 ], [ -1/8, 1/8, -1/8, -1/8, -1/8, 3/8, 1/8, -1/8, 1/8, 1/8, 1/8, -1/8, -1/8, -3/8, 1/8, 1/8, 1/8, 1/8, 1/8, -1/8, 5/8, -1/8, -1/8, -1/8 ], [ -1/8, 1/8, -1/8, -1/8, -1/8, -1/8, -3/8, -1/8, -3/8, -3/8, 1/8, -1/8, -1/8, 1/8, 1/8, -3/8, 1/8, 1/8, 1/8, -1/8, 1/8, -1/8, -1/8, 3/8 ], [ 1/8, -1/8, 1/8, 1/8, 1/8, -3/8, -1/8, 1/8, -1/8, -1/8, -1/8, 1/8, 1/8, -5/8, -1/8, -1/8, -1/8, -1/8, -1/8, 1/8, 3/8, 1/8, 1/8, 1/8 ], [ 1/8, -1/8, 1/8, -3/8, 1/8, 1/8, -1/8, 1/8, -1/8, -1/8, -1/8, -3/8, 1/8, -1/8, -1/8, -1/8, -1/8, -1/8, -1/8, -3/8, -1/8, 1/8, -3/8, -3/8 ], [ 1/8, -1/8, 1/8, 1/8, -3/8, 1/8, -1/8, 1/8, -1/8, 3/8, -1/8, -3/8, 1/8, -1/8, 3/8, -1/8, -1/8, -1/8, -1/8, 1/8, -1/8, -3/8, 1/8, 1/8 ], [ -3/8, 3/8, 1/8, 1/8, 1/8, 1/8, -1/8, -3/8, -1/8, -1/8, -1/8, 1/8, 1/8, -1/8, 3/8, -1/8, -1/8, -1/8, -1/8, 1/8, -1/8, 1/8, 1/8, -3/8 ], [ 1/8, -1/8, 1/8, 1/8, 1/8, 1/8, -1/8, -3/8, -1/8, 3/8, 3/8, 1/8, -3/8, -1/8, -1/8, -1/8, -1/8, -1/8, -1/8, 1/8, -1/8, 1/8, -3/8, 1/8 ], [ -1/8, 1/8, -1/8, -1/8, -1/8, -1/8, -3/8, -1/8, 1/8, 1/8, 1/8, -1/8, -1/8, 1/8, -3/8, 1/8, -3/8, -3/8, 1/8, -1/8, 1/8, -1/8, 3/8, -1/8 ], [ 1/8, -1/8, -3/8, 1/8, 1/8, 1/8, 3/8, -3/8, -1/8, -1/8, -1/8, -3/8, 1/8, -1/8, -1/8, -1/8, -1/8, -1/8, 3/8, 1/8, -1/8, 1/8, 1/8, 1/8 ] ] , #### 112 ## Label: 18B_1 ## Order: 18 ## Centralizer: 108 ## Cycles: [ [ 3, 2 ], [ 6, 8 ], [ 9, 26 ], [ 18, 10904 ] ] ## Trace: -2 ## Factors: [ [ 2, 2 ], [ 3, 1 ], [ 6, 1 ], [ 9, 1 ], [ 18, 2 ] ] [ [ 1/8, -1/8, 1/8, 1/8, 1/8, 1/8, -1/8, -3/8, -1/8, -1/8, -1/8, 1/8, 1/8, -1/8, -1/8, 3/8, 3/8, -1/8, -1/8, -3/8, -1/8, -3/8, 1/8, 1/8 ], [ -3/8, -1/8, 1/8, 1/8, 1/8, 1/8, -1/8, 1/8, -1/8, -1/8, -1/8, -3/8, -3/8, -1/8, -1/8, 3/8, -1/8, 3/8, -1/8, 1/8, -1/8, 1/8, 1/8, 1/8 ], [ 1/8, -1/8, -3/8, 1/8, 1/8, 1/8, -1/8, 1/8, -1/8, -1/8, 3/8, 1/8, 1/8, -1/8, -1/8, -1/8, -1/8, 3/8, -1/8, 1/8, -1/8, -3/8, 1/8, -3/8 ], [ -1/8, -3/8, -1/8, -1/8, -1/8, -1/8, 1/8, -1/8, 1/8, -3/8, 1/8, -1/8, -1/8, 1/8, 1/8, 1/8, 1/8, -3/8, -3/8, 3/8, 1/8, -1/8, -1/8, -1/8 ], [ -3/8, -1/8, -3/8, -3/8, 1/8, 1/8, -1/8, 1/8, -1/8, 3/8, -1/8, 1/8, 1/8, -1/8, -1/8, -1/8, 3/8, -1/8, -1/8, 1/8, -1/8, 1/8, 1/8, 1/8 ], [ -1/8, 1/8, -1/8, -1/8, 3/8, -1/8, 1/8, -1/8, 1/8, 1/8, 1/8, -1/8, 3/8, 1/8, 1/8, 1/8, -3/8, 1/8, -3/8, -1/8, 1/8, -1/8, -1/8, 3/8 ], [ 1/8, 3/8, 1/8, 1/8, 1/8, 1/8, -1/8, 1/8, 3/8, -1/8, 3/8, -3/8, 1/8, -1/8, -1/8, -1/8, 3/8, -1/8, -1/8, 1/8, -1/8, 1/8, 1/8, 1/8 ], [ 1/8, -1/8, 1/8, -3/8, -3/8, 1/8, -1/8, -3/8, 3/8, -1/8, -1/8, 1/8, 1/8, -1/8, -1/8, -1/8, -1/8, 3/8, -1/8, 1/8, -1/8, 1/8, 1/8, 1/8 ], [ 1/8, -1/8, 1/8, 1/8, 1/8, 5/8, -1/8, 1/8, -1/8, -1/8, -1/8, 1/8, 1/8, 3/8, -1/8, -1/8, -1/8, -1/8, -1/8, 1/8, 3/8, 1/8, 1/8, 1/8 ], [ 3/8, 1/8, -1/8, -1/8, 3/8, -1/8, -3/8, -1/8, 1/8, 1/8, -3/8, -1/8, -1/8, 1/8, 1/8, 1/8, 1/8, 1/8, 1/8, 3/8, 1/8, -1/8, -1/8, -1/8 ], [ -1/8, 1/8, -1/8, 3/8, -1/8, -1/8, 1/8, -1/8, 1/8, 1/8, -3/8, -1/8, -1/8, 1/8, -3/8, -3/8, 1/8, 1/8, -3/8, -1/8, 1/8, -1/8, -1/8, -1/8 ], [ 3/8, 1/8, -1/8, -1/8, -1/8, -1/8, 1/8, -1/8, -3/8, 1/8, 1/8, -1/8, -1/8, 1/8, 1/8, 1/8, 1/8, 1/8, -3/8, -1/8, 1/8, 3/8, 3/8, -1/8 ], [ 1/8, 3/8, -3/8, 1/8, -3/8, 1/8, -1/8, 1/8, -1/8, -1/8, -1/8, 1/8, 1/8, -1/8, -1/8, 3/8, -1/8, -1/8, -1/8, 1/8, -1/8, 1/8, -3/8, 1/8 ], [ 1/8, -1/8, -3/8, 1/8, 1/8, 1/8, -1/8, 1/8, 3/8, -1/8, -1/8, 1/8, -3/8, -1/8, 3/8, -1/8, -1/8, -1/8, -1/8, -3/8, -1/8, 1/8, 1/8, 1/8 ], [ -1/8, -3/8, -1/8, 3/8, -1/8, -1/8, -3/8, -1/8, 1/8, 1/8, 1/8, -1/8, 3/8, 1/8, 1/8, 1/8, 1/8, 1/8, 1/8, -1/8, 1/8, 3/8, -1/8, -1/8 ], [ 1/8, -1/8, 1/8, 1/8, 1/8, -3/8, -1/8, 1/8, -1/8, -1/8, -1/8, 1/8, 1/8, 3/8, -1/8, -1/8, -1/8, -1/8, -1/8, 1/8, -5/8, 1/8, 1/8, 1/8 ], [ 1/8, -1/8, 1/8, 1/8, 1/8, 1/8, 3/8, 1/8, 3/8, 3/8, -1/8, 1/8, 1/8, -1/8, -1/8, 3/8, -1/8, -1/8, -1/8, 1/8, -1/8, 1/8, 1/8, -3/8 ], [ -1/8, 1/8, -1/8, -1/8, -1/8, 3/8, 1/8, -1/8, 1/8, 1/8, 1/8, -1/8, -1/8, 5/8, 1/8, 1/8, 1/8, 1/8, 1/8, -1/8, -3/8, -1/8, -1/8, -1/8 ], [ -1/8, 1/8, -1/8, 3/8, -1/8, -1/8, 1/8, -1/8, 1/8, 1/8, 1/8, 3/8, -1/8, 1/8, 1/8, 1/8, 1/8, 1/8, 1/8, 3/8, 1/8, -1/8, 3/8, 3/8 ], [ -1/8, 1/8, -1/8, -1/8, 3/8, -1/8, 1/8, -1/8, 1/8, -3/8, 1/8, 3/8, -1/8, 1/8, -3/8, 1/8, 1/8, 1/8, 1/8, -1/8, 1/8, 3/8, -1/8, -1/8 ], [ 3/8, -3/8, -1/8, -1/8, -1/8, -1/8, 1/8, 3/8, 1/8, 1/8, 1/8, -1/8, -1/8, 1/8, -3/8, 1/8, 1/8, 1/8, 1/8, -1/8, 1/8, -1/8, -1/8, 3/8 ], [ -1/8, 1/8, -1/8, -1/8, -1/8, -1/8, 1/8, 3/8, 1/8, -3/8, -3/8, -1/8, 3/8, 1/8, 1/8, 1/8, 1/8, 1/8, 1/8, -1/8, 1/8, -1/8, 3/8, -1/8 ], [ 1/8, -1/8, 1/8, 1/8, 1/8, 1/8, 3/8, 1/8, -1/8, -1/8, -1/8, 1/8, 1/8, -1/8, 3/8, -1/8, 3/8, 3/8, -1/8, 1/8, -1/8, 1/8, -3/8, 1/8 ], [ -1/8, 1/8, 3/8, -1/8, -1/8, -1/8, -3/8, 3/8, 1/8, 1/8, 1/8, 3/8, -1/8, 1/8, 1/8, 1/8, 1/8, 1/8, -3/8, -1/8, 1/8, -1/8, -1/8, -1/8 ] ] , #### 113 ## Label: 18C_0 ## Order: 18 ## Centralizer: 108 ## Cycles: [ [ 2, 9 ], [ 6, 6 ], [ 9, 480 ], [ 18, 10677 ] ] ## Trace: -1 ## Factors: [ [ 1, 2 ], [ 2, 2 ], [ 3, 1 ], [ 9, 2 ], [ 18, 1 ] ] [ [ -1/4, 0, 1/4, 1/4, -1/4, 0, -1/4, 1/4, 0, 0, 0, -1/4, -1/4, -1/4, 1/4, 0, -1/4, -1/4, 0, 1/4, 1/4, -1/4, 0, -1/4 ], [ -1/4, 0, -1/4, 1/4, -1/4, 0, 1/4, 1/4, 0, 0, 0, 1/4, 1/4, 1/4, -1/4, 0, -1/4, 1/4, 0, 1/4, 1/4, 1/4, 0, -1/4 ], [ 0, 1/4, 0, 0, 0, 1/4, 0, 1/2, 1/4, 1/4, 1/4, 0, 0, 0, 0, -1/4, 1/2, 0, 1/4, 0, 0, 0, -1/4, 0 ], [ 0, 1/4, 0, 0, 0, -1/4, 0, 0, 1/4, 1/4, -1/4, -1/2, 1/2, 0, 0, 1/4, 0, 0, -1/4, 0, 0, 0, -1/4, 0 ], [ 0, -1/4, 0, 0, 0, 1/4, 0, 0, 1/4, -1/4, 1/4, 0, 0, 0, 0, 1/4, 0, -1/2, -1/4, 0, 0, 1/2, -1/4, 0 ], [ 0, 1/4, 0, 0, 0, -1/4, 0, 0, -1/4, -1/4, 1/4, 0, 0, 1/2, 1/2, -1/4, 0, 0, -1/4, 0, 0, 0, -1/4, 0 ], [ 0, 1/4, 0, 0, 0, 1/4, 0, -1/2, 1/4, 1/4, 1/4, 0, 0, 0, 0, -1/4, -1/2, 0, 1/4, 0, 0, 0, -1/4, 0 ], [ 0, -1/4, 1/2, 0, 0, 1/4, 1/2, 0, -1/4, 1/4, -1/4, 0, 0, 0, 0, -1/4, 0, 0, -1/4, 0, 0, 0, -1/4, 0 ], [ 1/4, 0, -1/4, 1/4, -1/4, 0, 1/4, -1/4, 0, 0, 0, -1/4, -1/4, 1/4, -1/4, 0, 1/4, -1/4, 0, -1/4, 1/4, -1/4, 0, -1/4 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-1/2, -1/2, -1/4, 0, 0, -1/4, 0, 0, 0, -1/4, 0 ], [ 1/4, 0, -1/4, -1/4, -1/4, 0, 1/4, 1/4, 0, 0, 0, 1/4, 1/4, -1/4, 1/4, 0, -1/4, -1/4, 0, -1/4, -1/4, -1/4, 0, -1/4 ], [ -1/2, 1/4, 0, 0, 0, 1/4, 0, 0, -1/4, 1/4, 1/4, 0, 0, 0, 0, 1/4, 0, 0, -1/4, -1/2, 0, 0, 1/4, 0 ], [ 1/4, 0, 1/4, 1/4, 1/4, 0, -1/4, 1/4, 0, 0, 0, 1/4, 1/4, 1/4, -1/4, 0, -1/4, -1/4, 0, -1/4, 1/4, -1/4, 0, 1/4 ], [ -1/4, 0, -1/4, 1/4, 1/4, 0, 1/4, -1/4, 0, 0, 0, 1/4, 1/4, -1/4, 1/4, 0, 1/4, -1/4, 0, 1/4, 1/4, -1/4, 0, 1/4 ], [ 0, 1/4, 0, 0, 0, -1/4, 0, 0, -1/4, 1/4, -1/4, 0, 0, 0, 0, -1/4, 0, -1/2, 1/4, 0, 0, 1/2, 1/4, 0 ] ] , #### 114 ## Label: 18C_1 ## Order: 18 ## Centralizer: 108 ## Cycles: [ [ 1, 6 ], [ 2, 6 ], [ 6, 6 ], [ 9, 26 ], [ 18, 10904 ] ] ## Trace: 1 ## Factors: [ [ 1, 2 ], [ 2, 2 ], [ 6, 1 ], [ 9, 1 ], [ 18, 2 ] ] [ [ 1/4, 0, -1/4, -1/4, 1/4, 0, 1/4, -1/4, 0, 0, 0, 1/4, 1/4, 1/4, -1/4, 0, 1/4, 1/4, 0, -1/4, -1/4, 1/4, 0, 1/4 ], [ 1/4, 0, 1/4, -1/4, 1/4, 0, -1/4, -1/4, 0, 0, 0, -1/4, -1/4, -1/4, 1/4, 0, 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0, 0, -1/4, 0 ], [ -1/4, 0, -1/4, -1/4, -1/4, 0, 1/4, -1/4, 0, 0, 0, -1/4, -1/4, -1/4, 1/4, 0, 1/4, 1/4, 0, 1/4, -1/4, 1/4, 0, -1/4 ], [ 1/4, 0, 1/4, -1/4, -1/4, 0, -1/4, 1/4, 0, 0, 0, -1/4, -1/4, 1/4, -1/4, 0, -1/4, 1/4, 0, -1/4, -1/4, 1/4, 0, -1/4 ], [ 0, -1/4, 0, 0, 0, 1/4, 0, 0, 1/4, -1/4, 1/4, 0, 0, 0, 0, 1/4, 0, 1/2, -1/4, 0, 0, -1/2, -1/4, 0 ] ] , #### 115 ## Label: 20A_0 ## Order: 20 ## Centralizer: 960 ## Cycles: [ [ 5, 48 ], [ 20, 9816 ] ] ## Trace: -2 ## Factors: [ [ 5, 2 ], [ 20, 2 ] ] [ [ 0, 0, 1/4, 1/4, 0, 1/4, -1/4, 0, -1/4, 1/4, 1/4, -1/4, -1/4, 0, -1/4, 0, 0, 1/4, 0, 1/4, 0, -1/2, 0, 0 ], [ 0, 0, -1/4, 1/4, 0, -1/4, -1/4, 0, 1/4, 1/4, -1/4, 1/4, -1/4, 0, 1/4, 0, 0, 1/4, -1/2, 1/4, 0, 0, 0, 0 ], [ 0, 1/2, 1/4, 1/4, 0, -1/4, -1/4, 0, -1/4, -1/4, -1/4, 1/4, 1/4, 0, -1/4, 0, 0, -1/4, 0, 1/4, 0, 0, 0, 0 ], [ 0, 0, 1/4, -1/4, 0, -1/4, -1/4, 0, 1/4, -1/4, -1/4, -1/4, -1/4, -1/2, -1/4, 0, 0, 1/4, 0, -1/4, 0, 0, 0, 0 ], [ 1/4, 1/4, 0, 0, 1/4, 0, 0, -1/4, 0, 0, 0, 0, 0, 1/4, 0, 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0, 0 ], [ 0, 0, 1/4, 1/4, 0, -1/4, 1/4, 0, 1/4, 1/4, 1/4, 1/4, -1/4, 0, -1/4, 0, 0, -1/4, 0, -1/4, -1/2, 0, 0, 0 ] ] , #### 116 ## Label: 20A_1 ## Order: 20 ## Centralizer: 960 ## Cycles: [ [ 10, 24 ], [ 20, 9816 ] ] ## Trace: 2 ## Factors: [ [ 10, 2 ], [ 20, 2 ] ] [ [ 0, 0, -1/4, -1/4, 0, -1/4, 1/4, 0, 1/4, -1/4, -1/4, 1/4, 1/4, 0, 1/4, 0, 0, -1/4, 0, -1/4, 0, 1/2, 0, 0 ], [ 0, 0, 1/4, -1/4, 0, 1/4, 1/4, 0, -1/4, -1/4, 1/4, -1/4, 1/4, 0, -1/4, 0, 0, -1/4, 1/2, -1/4, 0, 0, 0, 0 ], [ 0, -1/2, -1/4, -1/4, 0, 1/4, 1/4, 0, 1/4, 1/4, 1/4, -1/4, -1/4, 0, 1/4, 0, 0, 1/4, 0, -1/4, 0, 0, 0, 0 ], [ 0, 0, -1/4, 1/4, 0, 1/4, 1/4, 0, -1/4, 1/4, 1/4, 1/4, 1/4, 1/2, 1/4, 0, 0, -1/4, 0, 1/4, 0, 0, 0, 0 ], [ -1/4, -1/4, 0, 0, -1/4, 0, 0, 1/4, 0, 0, 0, 0, 0, -1/4, 0, -1/4, 1/4, -1/2, -1/4, 0, 1/4, -1/4, 1/4, 1/4 ], [ 0, 0, 1/4, 1/4, 0, 1/4, -1/4, 0, 1/4, 1/4, -1/4, -1/4, 1/4, 0, 1/4, 0, 0, -1/4, 0, -1/4, 0, 0, 0, -1/2 ], [ 1/4, 1/4, 0, 0, -1/4, 0, 0, 1/4, 0, 0, 0, 0, -1/2, 1/4, 0, -1/4, 1/4, 0, 1/4, 0, 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9809 ] ] ## Trace: 0 ## Factors: [ [ 1, 2 ], [ 2, 2 ], [ 4, 2 ], [ 5, 1 ], [ 10, 1 ], [ 20, 1 ] ] [ [ 3/8, -1/8, -1/8, 1/8, -3/8, 3/8, 1/8, 1/8, 1/8, 3/8, -1/8, -1/8, 1/8, 1/8, -1/8, 1/8, 1/8, -1/8, -1/8, -1/8, 1/8, 1/8, -1/8, -3/8 ], [ 1/8, 1/8, 1/8, -1/8, -1/8, 1/8, -1/8, 3/8, -1/8, -3/8, -3/8, 1/8, 3/8, -1/8, 1/8, -1/8, -1/8, -3/8, 1/8, 1/8, -1/8, -1/8, 1/8, -1/8 ], [ -3/8, 1/8, 1/8, -1/8, -1/8, 1/8, -1/8, -1/8, -1/8, 1/8, 1/8, -3/8, 3/8, -1/8, 1/8, 3/8, -1/8, 1/8, 1/8, 1/8, -1/8, -1/8, -3/8, -1/8 ], [ -1/8, -1/8, -1/8, -3/8, 1/8, -1/8, 1/8, 1/8, 1/8, -1/8, -1/8, 3/8, 1/8, 1/8, -1/8, 1/8, 1/8, 3/8, -1/8, 3/8, 1/8, 1/8, -1/8, -3/8 ], [ 1/8, 1/8, 1/8, 3/8, -1/8, 1/8, -1/8, -1/8, -1/8, -3/8, 1/8, 1/8, -1/8, 3/8, 1/8, 3/8, -1/8, 1/8, 1/8, 1/8, -1/8, 3/8, 1/8, -1/8 ], [ 1/8, 1/8, 1/8, -1/8, 3/8, 1/8, -1/8, -1/8, -1/8, 1/8, -3/8, -3/8, -1/8, 3/8, 1/8, -1/8, -1/8, 1/8, -3/8, 1/8, -1/8, -1/8, 1/8, -1/8 ], [ -1/8, 3/8, -1/8, 1/8, 1/8, -1/8, 1/8, 1/8, 1/8, 3/8, -1/8, -1/8, 1/8, 1/8, -1/8, 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1/8, 1/8, 1/8, 3/8, 3/8, -1/8 ], [ -1/8, 1/8, -1/8, -1/8, -1/8, 1/8, 1/8, 5/8, 3/8, -1/8, 1/8, -1/8, 1/8, -3/8, 1/8, -1/8, -1/8, 1/8, -1/8, -1/8, -1/8, 1/8, 1/8, 1/8 ], [ -3/8, -1/8, 1/8, 1/8, -3/8, -1/8, 3/8, -1/8, 1/8, 1/8, -1/8, 1/8, -1/8, -1/8, -1/8, 1/8, 1/8, -1/8, -3/8, 1/8, 1/8, -1/8, -1/8, 3/8 ] ] , #### 120 ## Label: 21A_0 ## Order: 21 ## Centralizer: 504 ## Cycles: [ [ 21, 9360 ] ] ## Trace: 2 ## Factors: [ [ 21, 2 ] ] [ [ 1/8, -1/8, -3/8, -1/8, -1/8, 1/8, 3/8, 1/8, -1/8, -1/8, -1/8, -1/8, -1/8, -1/8, -1/8, 3/8, -1/8, 1/8, -1/8, -3/8, 1/8, 3/8, 1/8, -1/8 ], [ -3/8, 3/8, 1/8, -1/8, -1/8, 1/8, -1/8, 1/8, -1/8, -1/8, 3/8, -1/8, -1/8, -1/8, -1/8, -1/8, -1/8, 1/8, -1/8, 1/8, 1/8, 3/8, -3/8, -1/8 ], [ -3/8, -1/8, 1/8, 3/8, -1/8, 1/8, 3/8, -3/8, -1/8, 3/8, -1/8, -1/8, -1/8, -1/8, -1/8, -1/8, -1/8, 1/8, -1/8, 1/8, 1/8, -1/8, 1/8, -1/8 ], [ 1/8, -1/8, 1/8, -1/8, -1/8, 1/8, -1/8, 1/8, -1/8, 3/8, -1/8, -1/8, -1/8, 3/8, -1/8, 3/8, -1/8, 1/8, -1/8, 1/8, -3/8, -1/8, -3/8, -1/8 ], [ -1/8, 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1/8, -1/8, -1/8, 3/8, -1/8, -1/8, 3/8, 3/8, -1/8, -1/8, 1/8, -1/8, 1/8, 1/8, -1/8, 1/8, -1/8 ] ] , #### 122 ## Label: 21B_0 ## Order: 21 ## Centralizer: 126 ## Cycles: [ [ 7, 108 ], [ 21, 9324 ] ] ## Trace: -1 ## Factors: [ [ 7, 2 ], [ 21, 1 ] ] [ [ 0, -1/4, 1/4, -1/4, -1/4, 1/4, 0, 1/4, 0, 0, 1/4, 0, -1/4, 0, 0, 0, -1/4, 0, -1/4, -1/4, 0, -1/2, 0, 1/4 ], [ 0, -1/4, -1/4, -1/4, 1/4, 1/4, 0, 1/4, 0, 0, -1/4, 0, 1/4, 0, 0, 0, 1/4, 1/2, 1/4, -1/4, 0, 0, 0, 1/4 ], [ 0, 1/4, -1/4, 1/4, -1/4, 1/4, 0, -1/4, 0, 0, 1/4, 1/2, 1/4, 0, 0, 0, -1/4, 0, 1/4, -1/4, 0, 0, 0, 1/4 ], [ -1/4, 0, 0, 0, 0, -1/2, -1/4, 0, 1/4, -1/4, 0, 1/4, 0, 1/4, 1/4, 1/4, 0, 1/4, 0, 0, -1/4, -1/4, 1/4, 0 ], [ 0, 1/4, -1/4, -1/4, -1/4, 1/4, 0, 1/4, 0, -1/2, -1/4, 0, -1/4, 0, 0, 0, -1/4, 0, 1/4, 1/4, 0, 0, 0, -1/4 ], [ -1/4, 0, 0, 0, 0, 0, 1/4, 0, 1/4, -1/4, 1/2, -1/4, 0, -1/4, 1/4, -1/4, 0, 1/4, 0, 0, -1/4, 1/4, -1/4, 0 ], [ 1/4, 0, 0, 0, 0, 0, -1/4, 0, 1/4, -1/4, 0, -1/4, 1/2, -1/4, 1/4, -1/4, 0, -1/4, 0, 0, 1/4, -1/4, 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-1/8, 1/8, -1/8, -1/8, 1/8, 1/8, 1/8, -1/8, -1/8 ] ] , #### 125 ## Label: 21C_1 ## Order: 42 ## Centralizer: 42 ## Cycles: [ [ 6, 7 ], [ 42, 4679 ] ] ## Trace: 0 ## Factors: [ [ 2, 2 ], [ 6, 2 ], [ 14, 1 ], [ 42, 1 ] ] [ [ -1/8, 1/8, 3/8, 1/8, 1/8, 1/8, 1/8, 1/8, -1/8, 1/8, -1/8, -3/8, 1/8, -3/8, 1/8, 1/8, -1/8, 1/8, -3/8, -1/8, -1/8, -1/8, -3/8, 1/8 ], [ 1/8, -1/8, 1/8, -1/8, 3/8, -1/8, -1/8, -1/8, 1/8, -1/8, 1/8, -1/8, -1/8, -1/8, -1/8, -1/8, 1/8, -1/8, -1/8, 1/8, 1/8, -3/8, -1/8, -5/8 ], [ -3/8, -1/8, -3/8, -1/8, -1/8, -1/8, 3/8, -1/8, 1/8, -1/8, 1/8, -1/8, -1/8, -1/8, -1/8, -1/8, 1/8, 3/8, -1/8, -3/8, 1/8, 1/8, -1/8, -1/8 ], [ -1/8, 1/8, -1/8, 1/8, 1/8, 1/8, -3/8, 1/8, 3/8, 1/8, -1/8, -3/8, 1/8, 1/8, -3/8, -3/8, -1/8, 1/8, 1/8, -1/8, -1/8, -1/8, 1/8, 1/8 ], [ -1/8, 1/8, -1/8, 1/8, 1/8, 1/8, 1/8, -3/8, -1/8, 1/8, -1/8, 1/8, 1/8, -3/8, -3/8, 1/8, 3/8, -3/8, 1/8, -1/8, -1/8, -1/8, 1/8, 1/8 ], [ 3/8, 1/8, -1/8, 1/8, 1/8, 1/8, 1/8, 1/8, 3/8, 1/8, -1/8, 1/8, -3/8, 1/8, 1/8, 1/8, 3/8, 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0, 1/4, 1/4 ], [ 1/4, 0, 0, 0, 1/4, -1/4, 0, 1/4, 0, -1/4, 1/4, 1/4, 0, 1/2, -1/4, 0, 1/4, 1/4, -1/4, 0, 0, -1/4, 0, 0 ], [ -1/4, 0, 0, -1/2, -1/4, -1/4, 0, -1/4, 0, 1/4, -1/4, 1/4, 0, 0, 1/4, 0, 1/4, 1/4, -1/4, 0, 0, -1/4, 0, 0 ], [ -1/4, 0, 0, 0, 1/4, 1/4, 1/2, -1/4, 0, 1/4, 1/4, 1/4, 0, 0, -1/4, 0, 1/4, -1/4, -1/4, 0, 0, 1/4, 0, 0 ], [ -1/4, 0, 0, 0, -1/4, -1/4, 0, 1/4, 0, 1/4, 1/4, 1/4, 0, 0, -1/4, 0, -1/4, 1/4, 1/4, 1/2, 0, 1/4, 0, 0 ], [ 0, 1/4, -1/4, -1/4, 0, 0, -1/4, 0, 1/4, 0, 1/2, 0, 1/4, -1/4, 0, -1/4, 0, 0, 0, -1/4, 1/4, 0, -1/4, 1/4 ], [ -1/4, 0, 0, 0, -1/4, 1/4, 0, -1/4, 0, -1/4, 1/4, -1/4, 0, 0, -1/4, 0, -1/4, 1/4, -1/4, 0, 0, -1/4, 1/2, 0 ], [ 1/4, 0, 0, 0, -1/4, -1/4, 0, -1/4, 0, 1/4, 1/4, -1/4, -1/2, 0, -1/4, 0, 1/4, -1/4, 1/4, 0, 0, -1/4, 0, 0 ], [ 0, 1/4, 1/4, 1/4, 0, 0, -1/4, 0, -1/4, 0, 0, 0, -1/4, -1/4, 0, 1/4, 0, 0, -1/2, 1/4, 1/4, 0, -1/4, 1/4 ], [ 1/4, 1/2, 0, 0, -1/4, 1/4, 0, -1/4, 0, -1/4, -1/4, 1/4, 0, 0, -1/4, 0, 1/4, 1/4, 1/4, 0, 0, 1/4, 0, 0 ], [ 0, 1/4, -1/4, -1/4, 0, 0, -1/4, 0, -1/4, 0, 0, 0, 1/4, 1/4, 0, 1/4, 0, -1/2, 0, 1/4, -1/4, 0, 1/4, 1/4 ], [ 0, -1/4, 1/4, 1/4, 0, 0, -1/4, -1/2, 1/4, 0, 0, 0, 1/4, 1/4, 0, -1/4, 0, 0, 0, 1/4, -1/4, 0, -1/4, 1/4 ] ] , #### 131 ## Label: 23B_1 ## Order: 46 ## Centralizer: 46 ## Cycles: [ [ 2, 1 ], [ 46, 4273 ] ] ## Trace: -1 ## Factors: [ [ 2, 2 ], [ 46, 1 ] ] [ [ 0, 1/4, 1/4, -1/4, 0, 0, 1/4, 0, 1/4, 0, 0, 0, -1/4, 1/4, 0, 1/4, -1/2, 0, 0, -1/4, -1/4, 0, -1/4, 1/4 ], [ -1/4, 0, 0, 0, 1/4, -1/4, 0, -1/4, 0, -1/4, 1/4, -1/4, 0, 0, 1/4, 1/2, 1/4, 1/4, 1/4, 0, 0, 1/4, 0, 0 ], [ 0, -1/4, 1/4, -1/4, 0, 0, -1/4, 0, -1/4, 0, 0, 0, -1/4, 1/4, 0, -1/4, 0, 0, 0, -1/4, 1/4, 1/2, 1/4, 1/4 ], [ 0, 1/4, 1/4, 1/4, 0, 0, -1/4, 0, 1/4, 1/2, 0, 0, 1/4, 1/4, 0, 1/4, 0, 0, 0, -1/4, 1/4, 0, 1/4, -1/4 ], [ 1/4, 0, 0, 0, -1/4, 1/4, 0, 1/4, 0, 1/4, 1/4, -1/4, 0, 0, 1/4, 0, 1/4, 1/4, -1/4, 0, -1/2, 1/4, 0, 0 ], [ 0, -1/4, -1/4, 1/4, -1/2, 0, 1/4, 0, -1/4, 0, 0, 0, 1/4, 1/4, 0, 1/4, 0, 0, 0, -1/4, 1/4, 0, -1/4, 1/4 ], [ 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-1/2, 1/4, 0, -1/4, -1/4, -1/4, 0, 0, 1/4, 0, -1/4, 1/4, 1/4, 0, 0, -1/4, 0, 0 ], [ 1/4, 0, 0, 0, 1/4, 1/4, 0, -1/4, 0, -1/4, -1/4, -1/4, 0, 0, 1/4, 0, 1/4, -1/4, -1/4, -1/2, 0, -1/4, 0, 0 ], [ 0, -1/4, 1/4, 1/4, 0, 0, 1/4, 0, -1/4, 0, -1/2, 0, -1/4, 1/4, 0, 1/4, 0, 0, 0, 1/4, -1/4, 0, 1/4, -1/4 ], [ 1/4, 0, 0, 0, 1/4, -1/4, 0, 1/4, 0, 1/4, -1/4, 1/4, 0, 0, 1/4, 0, 1/4, -1/4, 1/4, 0, 0, 1/4, -1/2, 0 ], [ -1/4, 0, 0, 0, 1/4, 1/4, 0, 1/4, 0, -1/4, -1/4, 1/4, 1/2, 0, 1/4, 0, -1/4, 1/4, -1/4, 0, 0, 1/4, 0, 0 ], [ 0, -1/4, -1/4, -1/4, 0, 0, 1/4, 0, 1/4, 0, 0, 0, 1/4, 1/4, 0, -1/4, 0, 0, 1/2, -1/4, -1/4, 0, 1/4, -1/4 ], [ -1/4, -1/2, 0, 0, 1/4, -1/4, 0, 1/4, 0, 1/4, 1/4, -1/4, 0, 0, 1/4, 0, -1/4, -1/4, -1/4, 0, 0, -1/4, 0, 0 ], [ 0, -1/4, 1/4, 1/4, 0, 0, 1/4, 0, 1/4, 0, 0, 0, -1/4, -1/4, 0, -1/4, 0, 1/2, 0, -1/4, 1/4, 0, -1/4, -1/4 ], [ 0, 1/4, -1/4, -1/4, 0, 0, 1/4, 1/2, -1/4, 0, 0, 0, -1/4, -1/4, 0, 1/4, 0, 0, 0, -1/4, 1/4, 0, 1/4, -1/4 ] ] , #### 132 ## Label: 24A_0 ## Order: 24 ## Centralizer: 576 ## Cycles: [ [ 12, 20 ], [ 24, 8180 ] ] ## Trace: 0 ## Factors: [ [ 12, 2 ], [ 24, 2 ] ] [ [ 1/8, -3/8, 3/8, 1/8, 1/8, -1/8, -3/8, 1/8, 1/8, -1/8, 1/8, -3/8, -3/8, 1/8, -1/8, 1/8, -1/8, -1/8, 1/8, -1/8, 1/8, -1/8, 1/8, 1/8 ], [ 1/8, 1/8, -1/8, 1/8, 1/8, 3/8, 1/8, 1/8, -3/8, -1/8, 1/8, 1/8, 1/8, 1/8, -1/8, 5/8, -1/8, -1/8, 1/8, -1/8, 1/8, -1/8, 1/8, 1/8 ], [ 3/8, -1/8, 1/8, -1/8, -1/8, 1/8, -1/8, -1/8, -1/8, 1/8, -1/8, -1/8, 3/8, -1/8, -3/8, -1/8, 1/8, 1/8, 3/8, 1/8, -1/8, 1/8, -1/8, 3/8 ], [ -3/8, 1/8, 3/8, 1/8, 1/8, -1/8, 1/8, -3/8, 1/8, -1/8, -3/8, 1/8, 1/8, -3/8, -1/8, 1/8, -1/8, -1/8, 1/8, -1/8, 1/8, -1/8, 1/8, 1/8 ], [ -1/8, -1/8, 1/8, -1/8, 3/8, 1/8, -1/8, -1/8, -1/8, 1/8, -1/8, 3/8, -1/8, 3/8, 1/8, -1/8, 1/8, 1/8, 3/8, -3/8, -1/8, 1/8, -1/8, -1/8 ], [ -1/8, 3/8, 1/8, -1/8, 3/8, 1/8, -1/8, 3/8, -1/8, 1/8, -1/8, -1/8, -1/8, -1/8, 1/8, -1/8, -3/8, 1/8, -1/8, 1/8, -1/8, 1/8, -1/8, 3/8 ], [ 1/8, 1/8, -1/8, 1/8, 1/8, -1/8, -3/8, 1/8, 1/8, -1/8, -3/8, 1/8, 1/8, 1/8, 3/8, 1/8, 3/8, -1/8, 1/8, 3/8, 1/8, -1/8, 1/8, 1/8 ], [ -1/8, -1/8, 1/8, -1/8, -1/8, 5/8, -1/8, -1/8, 3/8, 1/8, -1/8, -1/8, -1/8, -1/8, 1/8, 3/8, 1/8, 1/8, -1/8, 1/8, -1/8, 1/8, -1/8, -1/8 ], [ -1/8, -1/8, 1/8, 3/8, -1/8, 1/8, 3/8, 3/8, -1/8, 1/8, -1/8, -1/8, -1/8, -1/8, 1/8, -1/8, 1/8, 1/8, 3/8, 1/8, -1/8, -3/8, -1/8, -1/8 ], [ 3/8, -1/8, 1/8, -1/8, 3/8, 1/8, 3/8, -1/8, -1/8, 1/8, -1/8, -1/8, -1/8, -1/8, 1/8, -1/8, 1/8, -3/8, -1/8, 1/8, -1/8, 1/8, 3/8, -1/8 ], [ 1/8, 1/8, -1/8, 1/8, 1/8, -1/8, 1/8, -3/8, 1/8, 3/8, 1/8, 1/8, -3/8, 1/8, -1/8, 1/8, -1/8, 3/8, 1/8, 3/8, 1/8, -1/8, 1/8, 1/8 ], [ -1/8, -1/8, -3/8, -1/8, -1/8, 1/8, -1/8, -1/8, -1/8, 1/8, -1/8, -1/8, -1/8, -1/8, 1/8, -1/8, -3/8, -3/8, 3/8, 1/8, 3/8, 1/8, -1/8, -1/8 ], [ -1/8, -1/8, 1/8, -1/8, -1/8, 1/8, -1/8, 3/8, -1/8, 1/8, -1/8, 3/8, -1/8, -1/8, -3/8, -1/8, 1/8, 1/8, -1/8, 1/8, 3/8, 1/8, 3/8, -1/8 ], [ -1/8, 3/8, 1/8, -1/8, -1/8, 1/8, -1/8, -1/8, -1/8, -3/8, 3/8, -1/8, -1/8, -1/8, 1/8, -1/8, 1/8, 1/8, 3/8, 1/8, -1/8, 1/8, 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-1/8, -1/8, 1/8, -1/8, -1/8, 3/8, 3/8, 1/8, -1/8, -3/8, 1/8, -1/8, 1/8, -1/8, 1/8, 3/8, -1/8 ], [ -1/8, -1/8, -3/8, 3/8, 3/8, 1/8, -1/8, -1/8, -1/8, -3/8, -1/8, -1/8, -1/8, -1/8, -3/8, -1/8, 1/8, 1/8, -1/8, 1/8, -1/8, 1/8, -1/8, -1/8 ], [ 3/8, 3/8, 1/8, 3/8, -1/8, 1/8, -1/8, -1/8, -1/8, 1/8, -1/8, -1/8, -1/8, -1/8, 1/8, -1/8, 1/8, 1/8, -1/8, -3/8, 3/8, 1/8, -1/8, -1/8 ] ] , #### 133 ## Label: 24B_0 ## Order: 24 ## Centralizer: 384 ## Cycles: [ [ 3, 8 ], [ 12, 18 ], [ 24, 8180 ] ] ## Trace: -2 ## Factors: [ [ 3, 2 ], [ 12, 1 ], [ 24, 2 ] ] [ [ 1/8, 1/8, -3/8, -3/8, 1/8, 1/8, -3/8, 1/8, -1/8, -1/8, -3/8, 1/8, -1/8, -1/8, 1/8, 1/8, 3/8, -1/8, 1/8, 1/8, -1/8, -1/8, 1/8, 1/8 ], [ 1/8, 1/8, 1/8, 1/8, 5/8, 1/8, 1/8, 1/8, -1/8, 3/8, 1/8, 1/8, -1/8, -1/8, 1/8, 1/8, -1/8, -1/8, 1/8, -3/8, -1/8, -1/8, 1/8, 1/8 ], [ -1/8, -1/8, -1/8, -1/8, 3/8, -1/8, -1/8, -1/8, 1/8, -3/8, -1/8, -1/8, 1/8, 1/8, -1/8, -1/8, 1/8, 1/8, -1/8, -5/8, 1/8, 1/8, -1/8, -1/8 ], [ -1/8, -1/8, -1/8, -1/8, -1/8, 3/8, -1/8, 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Label: 28B_0 ## Order: 56 ## Centralizer: 56 ## Cycles: [ [ 56, 3510 ] ] ## Trace: 0 ## Factors: [ [ 56, 1 ] ] [ [ 0, -1/4, 0, 0, -1/4, -1/4, -1/4, 0, 0, 0, 0, 1/4, 1/2, 1/4, 0, 0, 1/4, 0, -1/4, -1/4, 1/4, -1/4, 1/4, 0 ], [ 1/4, 0, -1/4, -1/4, 0, -1/2, 0, -1/4, 1/4, 1/4, -1/4, 0, -1/4, 0, 1/4, -1/4, 0, -1/4, 0, 0, 0, 0, 0, 1/4 ], [ 0, 1/4, 0, 0, 1/4, 1/4, 1/4, 0, 0, 0, -1/2, 1/4, 0, 1/4, 0, 0, -1/4, 0, -1/4, -1/4, 1/4, -1/4, -1/4, 0 ], [ -1/4, 0, 1/4, 1/4, 0, 0, 0, -1/4, -1/4, 1/4, -1/4, 0, 1/4, 0, 1/4, -1/4, 0, 1/4, 0, 0, 0, 1/2, 0, 1/4 ], [ 0, 1/4, 0, 0, -1/4, 1/4, -1/4, 0, 1/2, 0, 0, 1/4, 0, 1/4, 0, 0, -1/4, 0, 1/4, 1/4, 1/4, 1/4, 1/4, 0 ], [ 1/4, 0, 1/4, 1/4, -1/2, 0, 0, -1/4, -1/4, -1/4, -1/4, 0, -1/4, 0, -1/4, 1/4, 0, -1/4, 0, 0, 0, 0, 0, 1/4 ], [ 0, -1/4, 0, 0, -1/4, 1/4, 1/4, 0, 0, 0, 0, 1/4, 0, 1/4, 0, -1/2, 1/4, 0, 1/4, 1/4, -1/4, -1/4, -1/4, 0 ], [ -1/4, 0, -1/4, -1/4, 0, 0, 0, -1/4, -1/4, -1/4, 1/4, 0, -1/4, 0, -1/4, -1/4, 0, 1/4, 0, 0, 1/2, 0, 0, 1/4 ], [ -1/4, 0, 1/4, 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-1/4, -1/4, 1/4, 0 ], [ 1/4, 0, -1/4, 1/4, 0, 0, 0, -1/4, 1/4, -1/4, -1/4, 0, 1/4, -1/2, -1/4, -1/4, 0, 1/4, 0, 0, 0, 0, 0, -1/4 ], [ -1/2, 1/4, 0, 0, -1/4, -1/4, -1/4, 0, 0, 0, 0, 1/4, 0, -1/4, 0, 0, -1/4, 0, -1/4, 1/4, -1/4, -1/4, -1/4, 0 ], [ 0, 1/4, 0, 0, -1/4, 1/4, -1/4, 0, 0, 0, 0, -1/4, 0, -1/4, 1/2, 0, 1/4, 0, 1/4, -1/4, 1/4, -1/4, -1/4, 0 ], [ -1/4, 0, -1/4, 1/4, 0, 0, 0, 1/4, 1/4, 1/4, -1/4, 0, -1/4, 0, -1/4, 1/4, 1/2, 1/4, 0, 0, 0, 0, 0, 1/4 ] ] , #### 145 ## Label: 30A_0 ## Order: 30 ## Centralizer: 240 ## Cycles: [ [ 15, 288 ], [ 30, 6408 ] ] ## Trace: 1 ## Factors: [ [ 15, 2 ], [ 30, 1 ] ] [ [ 0, 0, -1/4, 1/4, 0, 1/4, 1/4, 0, -1/4, -1/4, 1/4, -1/4, 1/2, 1/4, 0, 1/4, 1/4, 0, -1/4, 0, 0, 0, 0, 0 ], [ 1/4, 1/4, 0, 0, -1/4, 0, 0, 1/4, 0, 0, 0, 0, 1/4, 0, 1/4, 0, 0, 1/4, 1/2, -1/4, 1/4, -1/4, 1/4, 1/4 ], [ 1/4, -1/4, 0, 0, 1/4, 0, 0, 1/4, 0, -1/2, 0, 0, -1/4, 0, 1/4, 0, 0, 1/4, 0, -1/4, -1/4, 1/4, -1/4, 1/4 ], [ -1/4, 1/4, 0, 0, -1/4, 0, 0, -1/4, 0, 0, 0, -1/2, -1/4, 0, 1/4, 0, 0, 1/4, 0, -1/4, -1/4, -1/4, -1/4, -1/4 ], [ 1/4, 1/4, 0, 0, 1/4, 0, 0, -1/4, 0, 0, 0, 0, -1/4, 0, 1/4, 1/2, 0, 1/4, 0, 1/4, 1/4, 1/4, 1/4, -1/4 ], [ 0, 0, -1/4, 1/4, 0, -1/4, -1/4, 0, -1/4, 1/4, 1/4, 1/4, 0, -1/4, 0, 1/4, -1/4, 0, -1/4, -1/2, 0, 0, 0, 0 ], [ -1/2, 0, 1/4, 1/4, 0, 1/4, 1/4, 0, 1/4, -1/4, 1/4, 1/4, 0, -1/4, 0, 1/4, -1/4, 0, 1/4, 0, 0, 0, 0, 0 ], [ 0, 1/2, 1/4, 1/4, 0, -1/4, -1/4, 0, 1/4, -1/4, 1/4, 1/4, 0, 1/4, 0, -1/4, 1/4, 0, -1/4, 0, 0, 0, 0, 0 ], [ 0, 0, 1/4, -1/4, 0, -1/4, -1/4, 0, -1/4, -1/4, 1/4, -1/4, 0, 1/4, -1/2, 1/4, -1/4, 0, 1/4, 0, 0, 0, 0, 0 ], [ 1/4, 1/4, 0, 0, -1/4, 0, 0, 1/4, 0, 0, 0, 0, 1/4, 0, 1/4, 0, -1/2, -1/4, 0, 1/4, -1/4, 1/4, -1/4, -1/4 ], [ 0, 0, -1/4, -1/4, 0, 1/4, -1/4, 0, 1/4, -1/4, -1/4, 1/4, 0, 1/4, 0, 1/4, -1/4, 0, -1/4, 0, 0, -1/2, 0, 0 ], [ 0, 0, -1/4, -1/4, 0, 1/4, -1/4, 0, -1/4, -1/4, 1/4, 1/4, 0, -1/4, 0, -1/4, 1/4, 0, 1/4, 0, 0, 0, 0, -1/2 ], [ 0, 0, -1/4, 1/4, 0, -1/4, -1/4, 0, 1/4, -1/4, -1/4, -1/4, 0, -1/4, 0, 1/4, 1/4, -1/2, 1/4, 0, 0, 0, 0, 0 ], [ -1/4, -1/4, 0, 0, -1/4, 0, 0, 1/4, 0, 0, 0, 0, -1/4, 1/2, 1/4, 0, 0, -1/4, 0, -1/4, 1/4, 1/4, 1/4, -1/4 ], [ 0, 0, 1/4, -1/4, -1/2, -1/4, 1/4, 0, -1/4, -1/4, -1/4, 1/4, 0, -1/4, 0, 1/4, 1/4, 0, -1/4, 0, 0, 0, 0, 0 ], [ 0, 0, 1/4, -1/4, 0, 1/4, -1/4, 1/2, 1/4, 1/4, 1/4, -1/4, 0, -1/4, 0, 1/4, 1/4, 0, -1/4, 0, 0, 0, 0, 0 ], [ -1/4, -1/4, 0, 0, 1/4, -1/2, 0, 1/4, 0, 0, 0, 0, 1/4, 0, 1/4, 0, 0, 1/4, 0, 1/4, 1/4, -1/4, -1/4, -1/4 ], [ 0, 0, 1/4, 1/4, 0, 1/4, -1/4, 0, -1/4, -1/4, -1/4, -1/4, 0, -1/4, 0, -1/4, -1/4, 0, -1/4, 0, 1/2, 0, 0, 0 ], [ -1/4, 1/4, 0, -1/2, 1/4, 0, 0, -1/4, 0, 0, 0, 0, 1/4, 0, 1/4, 0, 0, -1/4, 0, -1/4, 1/4, 1/4, -1/4, 1/4 ], [ 1/4, -1/4, 0, 0, -1/4, 0, 0, -1/4, 1/2, 0, 0, 0, 1/4, 0, -1/4, 0, 0, 1/4, 0, -1/4, 1/4, 1/4, -1/4, -1/4 ], [ -1/4, -1/4, 0, 0, -1/4, 0, -1/2, -1/4, 0, 0, 0, 0, 1/4, 0, 1/4, 0, 0, 1/4, 0, 1/4, -1/4, 1/4, 1/4, 1/4 ], [ 0, 0, 1/4, 1/4, 0, 1/4, -1/4, 0, -1/4, 1/4, -1/4, 1/4, 0, 1/4, 0, 1/4, 1/4, 0, 1/4, 0, 0, 0, -1/2, 0 ], [ -1/4, 1/4, 0, 0, 1/4, 0, 0, 1/4, 0, 0, -1/2, 0, 1/4, 0, -1/4, 0, 0, 1/4, 0, -1/4, -1/4, 1/4, 1/4, -1/4 ], [ -1/4, 1/4, -1/2, 0, -1/4, 0, 0, 1/4, 0, 0, 0, 0, -1/4, 0, -1/4, 0, 0, 1/4, 0, 1/4, 1/4, 1/4, -1/4, 1/4 ] ] , #### 146 ## Label: 30A_1 ## Order: 30 ## Centralizer: 240 ## Cycles: [ [ 15, 16 ], [ 30, 6544 ] ] ## Trace: -1 ## Factors: [ [ 15, 1 ], [ 30, 2 ] ] [ [ 0, 0, 1/4, -1/4, 0, -1/4, -1/4, 0, 1/4, 1/4, -1/4, 1/4, -1/2, -1/4, 0, -1/4, -1/4, 0, 1/4, 0, 0, 0, 0, 0 ], [ -1/4, -1/4, 0, 0, 1/4, 0, 0, -1/4, 0, 0, 0, 0, -1/4, 0, -1/4, 0, 0, -1/4, -1/2, 1/4, -1/4, 1/4, -1/4, -1/4 ], [ -1/4, 1/4, 0, 0, -1/4, 0, 0, -1/4, 0, 1/2, 0, 0, 1/4, 0, -1/4, 0, 0, -1/4, 0, 1/4, 1/4, -1/4, 1/4, -1/4 ], [ 1/4, -1/4, 0, 0, 1/4, 0, 0, 1/4, 0, 0, 0, 1/2, 1/4, 0, -1/4, 0, 0, -1/4, 0, 1/4, 1/4, 1/4, 1/4, 1/4 ], [ -1/4, -1/4, 0, 0, -1/4, 0, 0, 1/4, 0, 0, 0, 0, 1/4, 0, -1/4, -1/2, 0, -1/4, 0, -1/4, -1/4, -1/4, -1/4, 1/4 ], [ 0, 0, 1/4, -1/4, 0, 1/4, 1/4, 0, 1/4, -1/4, -1/4, -1/4, 0, 1/4, 0, -1/4, 1/4, 0, 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0, 0, -1/4, 1/4, 0, -1/4, 1/4, -1/2, -1/4, -1/4, -1/4, 1/4, 0, 1/4, 0, -1/4, -1/4, 0, 1/4, 0, 0, 0, 0, 0 ], [ 1/4, 1/4, 0, 0, -1/4, 1/2, 0, -1/4, 0, 0, 0, 0, -1/4, 0, -1/4, 0, 0, -1/4, 0, -1/4, -1/4, 1/4, 1/4, 1/4 ], [ 0, 0, -1/4, -1/4, 0, -1/4, 1/4, 0, 1/4, 1/4, 1/4, 1/4, 0, 1/4, 0, 1/4, 1/4, 0, 1/4, 0, -1/2, 0, 0, 0 ], [ 1/4, -1/4, 0, 1/2, -1/4, 0, 0, 1/4, 0, 0, 0, 0, -1/4, 0, -1/4, 0, 0, 1/4, 0, 1/4, -1/4, -1/4, 1/4, -1/4 ], [ -1/4, 1/4, 0, 0, 1/4, 0, 0, 1/4, -1/2, 0, 0, 0, -1/4, 0, 1/4, 0, 0, -1/4, 0, 1/4, -1/4, -1/4, 1/4, 1/4 ], [ 1/4, 1/4, 0, 0, 1/4, 0, 1/2, 1/4, 0, 0, 0, 0, -1/4, 0, -1/4, 0, 0, -1/4, 0, -1/4, 1/4, -1/4, -1/4, -1/4 ], [ 0, 0, -1/4, -1/4, 0, -1/4, 1/4, 0, 1/4, -1/4, 1/4, -1/4, 0, -1/4, 0, -1/4, -1/4, 0, -1/4, 0, 0, 0, 1/2, 0 ], [ 1/4, -1/4, 0, 0, -1/4, 0, 0, -1/4, 0, 0, 1/2, 0, -1/4, 0, 1/4, 0, 0, -1/4, 0, 1/4, 1/4, -1/4, -1/4, 1/4 ], [ 1/4, -1/4, 1/2, 0, 1/4, 0, 0, -1/4, 0, 0, 0, 0, 1/4, 0, 1/4, 0, 0, -1/4, 0, -1/4, -1/4, -1/4, 1/4, -1/4 ] ] , #### 147 ## Label: 30B_0 ## Order: 60 ## Centralizer: 60 ## Cycles: [ [ 12, 10 ], [ 60, 3274 ] ] ## Trace: 0 ## Factors: [ [ 12, 2 ], [ 60, 1 ] ] [ [ -1/4, 0, 0, -1/4, 0, -1/4, 0, 1/4, 0, 0, 0, 0, -1/4, -1/4, 1/2, 0, 1/4, -1/4, 0, 0, 1/4, 1/4, -1/4, 1/4 ], [ 0, -1/4, -1/4, 0, -1/4, 0, 1/4, 0, 1/4, 1/4, -1/4, -1/4, 0, 0, 1/4, -1/4, 0, 0, -1/4, 1/4, -1/2, 0, 0, 0 ], [ 0, 1/4, -1/4, 0, 1/4, 0, 1/4, 0, 1/4, 1/4, 1/4, -1/4, 0, 0, 1/4, 1/4, -1/2, 0, 1/4, -1/4, 0, 0, 0, 0 ], [ 0, -1/4, -1/4, -1/2, 1/4, 0, 1/4, 0, -1/4, 1/4, 1/4, 1/4, 0, 0, -1/4, -1/4, 0, 0, -1/4, -1/4, 0, 0, 0, 0 ], [ 0, 1/4, 1/4, 0, 1/4, 0, -1/4, 0, 1/4, 1/4, 1/4, 1/4, 0, 0, 1/4, -1/4, 0, 0, -1/4, 1/4, 0, -1/2, 0, 0 ], [ 0, 1/4, 1/4, 0, -1/4, 0, 1/4, 0, -1/4, 1/4, 1/4, -1/4, 0, 0, -1/4, 1/4, 0, 0, -1/4, 1/4, 0, 0, 0, 1/2 ], [ -1/4, 0, 0, 1/4, 0, 1/4, 0, 1/4, -1/2, 0, 0, 0, -1/4, -1/4, 0, 0, -1/4, -1/4, 0, 0, -1/4, -1/4, -1/4, -1/4 ], [ 0, 1/4, -1/4, 0, 1/4, -1/2, -1/4, 0, -1/4, 1/4, -1/4, -1/4, 0, 0, -1/4, -1/4, 0, 0, 1/4, 1/4, 0, 0, 0, 0 ], [ 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0, 0, 1/4, 1/4, 0, 0, 0, 0, -1/4, -1/4, 0, 0 ], [ 0, -1/4, 0, -1/4, 0, 1/4, -1/4, 0, 0, 0, -1/2, 0, 1/4, 1/4, 0, 0, -1/4, 1/4, -1/4, 1/4, 0, 0, 1/4, 1/4 ], [ -1/4, 0, -1/4, 0, 1/4, -1/2, 0, 1/4, -1/4, 1/4, -1/4, -1/4, 0, 0, 1/4, 1/4, 0, 0, 0, 0, -1/4, -1/4, 0, 0 ] ] , #### 150 ## Label: 30D_1 ## Order: 30 ## Centralizer: 60 ## Cycles: [ [ 1, 2 ], [ 2, 2 ], [ 3, 6 ], [ 5, 14 ], [ 6, 16 ], [ 10, 68 ], [ 15, 10 ], [ 30, 6518 ] ] ## Trace: -1 ## Factors: [ [ 1, 2 ], [ 2, 2 ], [ 3, 1 ], [ 5, 1 ], [ 6, 1 ], [ 10, 1 ], [ 30, 1 ] ] [ [ -1/4, 0, -1/4, 0, -1/4, 0, 0, 1/4, -1/4, -1/4, -1/4, 1/4, 0, -1/2, -1/4, 1/4, 0, 0, 0, 0, 1/4, 1/4, 0, 0 ], [ 0, -1/4, 0, 1/4, 0, -1/4, 1/4, -1/2, 0, 0, 0, 0, 1/4, -1/4, 0, 0, 1/4, 1/4, -1/4, 1/4, 0, 0, 1/4, -1/4 ], [ 1/4, 0, -1/4, 0, 1/4, 0, 0, 1/4, 1/4, -1/4, -1/4, 1/4, 0, 0, 1/4, -1/4, 1/2, 0, 0, 0, -1/4, 1/4, 0, 0 ], [ -1/4, 0, 1/4, 1/2, -1/4, 0, 0, 1/4, 1/4, -1/4, -1/4, -1/4, 0, 0, -1/4, -1/4, 0, 0, 0, 0, -1/4, -1/4, 0, 0 ], [ 1/4, 0, -1/4, 0, -1/4, 0, 0, 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-3/8, -1/8, -1/8 ], [ 1/8, -1/8, -1/8, 1/8, -1/8, -1/8, -1/8, -1/8, -1/8, -1/8, -1/8, -1/8, -1/8, 1/8, -3/8, -1/8, 1/8, 3/8, 1/8, -1/8, -1/8, 3/8, -3/8, -3/8 ] ] , #### 158 ## Label: 36A_1 ## Order: 36 ## Centralizer: 72 ## Cycles: [ [ 6, 1 ], [ 12, 4 ], [ 18, 13 ], [ 36, 5452 ] ] ## Trace: 1 ## Factors: [ [ 6, 1 ], [ 12, 1 ], [ 18, 1 ], [ 36, 1 ] ] [ [ 1/8, 3/8, -1/8, 1/8, -1/8, -1/8, 3/8, -1/8, -1/8, 3/8, -1/8, -1/8, -1/8, 1/8, 1/8, -1/8, 1/8, -1/8, 1/8, -1/8, 3/8, -1/8, -3/8, 1/8 ], [ 1/8, -1/8, -1/8, 1/8, -1/8, -1/8, -1/8, -1/8, -1/8, 3/8, 3/8, -1/8, -1/8, -3/8, 1/8, -1/8, 1/8, -1/8, -3/8, -1/8, -1/8, -1/8, 1/8, -3/8 ], [ 1/8, 3/8, 3/8, 1/8, -1/8, -1/8, -1/8, -1/8, -1/8, -1/8, -1/8, -1/8, -1/8, -3/8, 1/8, -1/8, 1/8, -1/8, 1/8, 3/8, -1/8, 3/8, 1/8, 1/8 ], [ 1/8, -1/8, 3/8, 1/8, -1/8, -1/8, -1/8, 3/8, -1/8, 3/8, -1/8, -1/8, 3/8, 1/8, -3/8, -1/8, 1/8, -1/8, 1/8, -1/8, -1/8, -1/8, 1/8, 1/8 ], [ 1/8, -1/8, 3/8, 1/8, 3/8, -1/8, -1/8, -1/8, 3/8, -1/8, -1/8, -1/8, -1/8, 1/8, 1/8, -1/8, 1/8, -1/8, 1/8, -1/8, 3/8, -1/8, 1/8, -3/8 ], [ 1/8, 3/8, -1/8, -3/8, -1/8, -1/8, -1/8, -1/8, -1/8, -1/8, -1/8, -1/8, 3/8, 1/8, 1/8, -1/8, -3/8, -1/8, 1/8, -1/8, -1/8, -1/8, 1/8, -3/8 ], [ 3/8, 1/8, 1/8, -1/8, 1/8, -3/8, 1/8, 1/8, 1/8, 1/8, 1/8, 5/8, 1/8, -1/8, -1/8, 1/8, -1/8, 1/8, -1/8, 1/8, 1/8, 1/8, -1/8, -1/8 ], [ -1/8, 1/8, 1/8, -1/8, 1/8, 1/8, 1/8, 1/8, 1/8, 1/8, 1/8, 1/8, -3/8, 3/8, -1/8, -3/8, -1/8, -3/8, -1/8, 1/8, -3/8, 1/8, -1/8, -1/8 ], [ 1/8, -1/8, 3/8, -3/8, -1/8, -1/8, -1/8, -1/8, -1/8, -1/8, -1/8, -1/8, -1/8, 1/8, 1/8, 3/8, 1/8, -1/8, -3/8, -1/8, -1/8, -1/8, -3/8, 1/8 ], [ 1/8, -1/8, -1/8, 1/8, 3/8, -1/8, -1/8, 3/8, -1/8, -1/8, -1/8, -1/8, -1/8, -3/8, 1/8, -1/8, -3/8, -1/8, 1/8, -1/8, -1/8, -1/8, -3/8, 1/8 ], [ 1/8, 3/8, -1/8, 1/8, -1/8, -1/8, -1/8, 3/8, 3/8, -1/8, -1/8, -1/8, -1/8, 1/8, 1/8, -1/8, 1/8, 3/8, -3/8, -1/8, -1/8, -1/8, 1/8, 1/8 ], [ 5/8, -1/8, -1/8, 1/8, -1/8, 3/8, -1/8, -1/8, -1/8, -1/8, -1/8, 3/8, -1/8, 1/8, 1/8, -1/8, 1/8, -1/8, 1/8, -1/8, -1/8, -1/8, 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3/8, -1/8, 3/8, -1/8, -1/8, -1/8, -1/8, -3/8, -3/8, -1/8, 1/8, -1/8, 1/8, -1/8, -1/8, -1/8, 1/8, 1/8 ], [ -1/8, 1/8, 1/8, 3/8, 1/8, 1/8, 1/8, -3/8, 1/8, 1/8, -3/8, 1/8, 1/8, -1/8, -1/8, 1/8, -1/8, 1/8, -1/8, 1/8, -3/8, -3/8, -1/8, -1/8 ], [ 1/8, -1/8, -1/8, -3/8, 3/8, -1/8, -1/8, -1/8, -1/8, 3/8, -1/8, -1/8, -1/8, 1/8, 1/8, -1/8, 1/8, 3/8, 1/8, 3/8, -1/8, -1/8, 1/8, 1/8 ], [ 1/8, -1/8, -1/8, 1/8, 3/8, -1/8, 3/8, -1/8, -1/8, -1/8, -1/8, -1/8, 3/8, 1/8, 1/8, -1/8, 1/8, -1/8, -3/8, -1/8, -1/8, 3/8, 1/8, 1/8 ], [ -1/8, 1/8, 1/8, -1/8, 1/8, 1/8, 1/8, 1/8, 1/8, 1/8, 1/8, 1/8, 1/8, -1/8, 3/8, 1/8, -1/8, -3/8, -1/8, 1/8, 1/8, -3/8, 3/8, 3/8 ] ] , #### 159 ## Label: 39A_0 ## Order: 39 ## Centralizer: 78 ## Cycles: [ [ 39, 5040 ] ] ## Trace: 1 ## Factors: [ [ 39, 1 ] ] [ [ 1/4, 0, 1/4, -1/4, 1/4, 0, 0, 0, 0, 1/4, -1/4, -1/4, 0, -1/4, -1/2, 0, 0, 0, 0, -1/4, 1/4, -1/4, 0, -1/4 ], [ 1/4, 0, -1/4, -1/4, -1/4, 0, 0, 0, 0, 1/4, 1/4, -1/4, 0, 1/4, 0, 1/2, 0, 0, 0, 1/4, 1/4, 1/4, 0, -1/4 ], [ 1/4, 0, 1/4, 1/4, -1/4, 0, 0, 0, 0, -1/4, -1/4, -1/4, 0, -1/4, 0, 0, 0, 0, 0, 1/4, 1/4, 1/4, 1/2, 1/4 ], [ 1/4, 0, -1/4, 1/4, -1/4, 0, -1/2, 0, 0, 1/4, -1/4, -1/4, 0, 1/4, 0, 0, 0, 0, 0, -1/4, -1/4, -1/4, 0, 1/4 ], [ 0, -1/4, 0, 0, 1/2, -1/4, -1/4, -1/4, 1/4, 0, 0, 0, 1/4, 0, 1/4, 1/4, -1/4, -1/4, -1/4, 0, 0, 0, 1/4, 0 ], [ 0, -1/4, 0, 0, 0, -1/4, -1/4, 1/4, -1/4, 0, 1/2, 0, 1/4, 0, -1/4, -1/4, -1/4, 1/4, 1/4, 0, 0, 0, 1/4, 0 ], [ 0, -1/4, 0, 0, 0, -1/4, -1/4, 1/4, 1/4, 0, 0, 0, -1/4, 0, 1/4, -1/4, 1/4, 1/4, -1/4, 0, 1/2, 0, -1/4, 0 ], [ 0, -1/4, 0, 0, 0, -1/4, 1/4, -1/4, -1/4, 1/2, 0, 0, -1/4, 0, 1/4, -1/4, 1/4, -1/4, 1/4, 0, 0, 0, 1/4, 0 ], [ 0, -1/4, 0, 0, 0, 1/4, 1/4, 1/4, 1/4, 0, 0, 0, 1/4, 0, 1/4, 1/4, 1/4, 1/4, 1/4, -1/2, 0, 0, 1/4, 0 ], [ 0, 1/4, 0, 0, 0, -1/4, 1/4, 1/4, -1/4, 0, 0, 0, -1/4, 0, 1/4, 1/4, -1/4, 1/4, -1/4, 0, 0, -1/2, 1/4, 0 ], [ -1/4, 0, 1/4, 1/4, -1/4, 0, 0, -1/2, 0, -1/4, 1/4, -1/4, 0, 1/4, 0, 0, 0, 0, 0, -1/4, 1/4, -1/4, 0, -1/4 ], [ 1/4, 0, -1/4, -1/4, -1/4, 0, 0, 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-1/4, 0, 1/4, 0, 0, 1/2, 0, 0, 1/4, -1/4, -1/4, 0, 1/4 ], [ -1/4, 0, 1/4, -1/4, -1/4, 0, 0, 0, 0, 1/4, -1/4, 1/4, 1/2, 1/4, 0, 0, 0, 0, 0, 1/4, 1/4, -1/4, 0, 1/4 ], [ 0, 1/4, 0, 0, 0, -1/4, 1/4, 1/4, 1/4, 0, 0, -1/2, 1/4, 0, 1/4, -1/4, -1/4, -1/4, 1/4, 0, 0, 0, -1/4, 0 ], [ -1/2, 1/4, 0, 0, 0, -1/4, -1/4, 1/4, 1/4, 0, 0, 0, -1/4, 0, -1/4, 1/4, 1/4, -1/4, 1/4, 0, 0, 0, 1/4, 0 ] ] , #### 160 ## Label: 39A_1 ## Order: 78 ## Centralizer: 78 ## Cycles: [ [ 78, 2520 ] ] ## Trace: -1 ## Factors: [ [ 78, 1 ] ] [ [ -1/4, 0, -1/4, 1/4, -1/4, 0, 0, 0, 0, -1/4, 1/4, 1/4, 0, 1/4, 1/2, 0, 0, 0, 0, 1/4, -1/4, 1/4, 0, 1/4 ], [ -1/4, 0, 1/4, 1/4, 1/4, 0, 0, 0, 0, -1/4, -1/4, 1/4, 0, -1/4, 0, -1/2, 0, 0, 0, -1/4, -1/4, -1/4, 0, 1/4 ], [ -1/4, 0, -1/4, -1/4, 1/4, 0, 0, 0, 0, 1/4, 1/4, 1/4, 0, 1/4, 0, 0, 0, 0, 0, -1/4, -1/4, -1/4, -1/2, -1/4 ], [ -1/4, 0, 1/4, -1/4, 1/4, 0, 1/2, 0, 0, -1/4, 1/4, 1/4, 0, -1/4, 0, 0, 0, 0, 0, 1/4, 1/4, 1/4, 0, -1/4 ], [ 0, 1/4, 0, 0, -1/2, 1/4, 1/4, 1/4, -1/4, 0, 0, 0, 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1/4, 0 ], [ 1/2, -1/4, 0, 0, 0, 1/4, 1/4, -1/4, -1/4, 0, 0, 0, 1/4, 0, 1/4, -1/4, -1/4, 1/4, -1/4, 0, 0, 0, -1/4, 0 ] ] , #### 161 ## Label: 39B_0 ## Order: 39 ## Centralizer: 78 ## Cycles: [ [ 39, 5040 ] ] ## Trace: 1 ## Factors: [ [ 39, 1 ] ] [ [ -1/4, 0, -1/4, -1/4, 0, 0, -1/4, 0, 1/4, -1/4, 1/2, 1/4, 1/4, 0, 1/4, -1/4, 0, 0, -1/4, 0, 0, 1/4, 0, 0 ], [ 0, 1/4, 0, 0, -1/4, 1/4, 0, -1/4, 0, 0, -1/4, 0, 0, -1/4, 0, -1/2, 1/4, -1/4, 0, -1/4, -1/4, 0, 1/4, 1/4 ], [ 0, -1/4, 0, 0, 1/4, 1/4, 0, -1/4, 0, 0, 1/4, 0, 0, -1/4, 0, 0, 1/4, 1/4, 0, -1/4, -1/4, -1/2, -1/4, -1/4 ], [ 1/4, 0, 1/4, -1/4, 1/2, 0, 1/4, 0, -1/4, -1/4, 0, 1/4, -1/4, 0, -1/4, -1/4, 0, 0, -1/4, 0, 0, 1/4, 0, 0 ], [ 0, 1/4, 0, 0, -1/4, 1/4, 0, -1/4, -1/2, 0, 1/4, 0, 0, 1/4, 0, 0, 1/4, 1/4, 0, 1/4, 1/4, 0, -1/4, 1/4 ], [ 1/4, 0, -1/4, 1/4, 0, 1/2, 1/4, 0, 1/4, 1/4, 0, 1/4, -1/4, 0, 1/4, 1/4, 0, 0, -1/4, 0, 0, 1/4, 0, 0 ], [ 1/4, 0, -1/4, -1/4, 0, 0, 1/4, 0, -1/4, -1/4, 0, -1/4, 1/4, 0, 1/4, 1/4, 0, 0, 1/4, 0, -1/2, 1/4, 0, 0 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0, 1/4, 0, -1/4, 1/4, -1/2, -1/4, -1/4, 0, -1/4, 1/4, 0, 0, 1/4, 0, 0, -1/4, 0, 0 ], [ 0, -1/4, 0, 0, 1/4, -1/4, 0, 1/4, 0, 0, 1/4, 0, 0, 1/4, 0, 1/2, -1/4, 1/4, 0, 1/4, 1/4, 0, -1/4, -1/4 ], [ 0, 1/4, 0, 0, -1/4, -1/4, 0, 1/4, 0, 0, -1/4, 0, 0, 1/4, 0, 0, -1/4, -1/4, 0, 1/4, 1/4, 1/2, 1/4, 1/4 ], [ -1/4, 0, -1/4, 1/4, -1/2, 0, -1/4, 0, 1/4, 1/4, 0, -1/4, 1/4, 0, 1/4, 1/4, 0, 0, 1/4, 0, 0, -1/4, 0, 0 ], [ 0, -1/4, 0, 0, 1/4, -1/4, 0, 1/4, 1/2, 0, -1/4, 0, 0, -1/4, 0, 0, -1/4, -1/4, 0, -1/4, -1/4, 0, 1/4, -1/4 ], [ -1/4, 0, 1/4, -1/4, 0, -1/2, -1/4, 0, -1/4, -1/4, 0, -1/4, 1/4, 0, -1/4, -1/4, 0, 0, 1/4, 0, 0, -1/4, 0, 0 ], [ -1/4, 0, 1/4, 1/4, 0, 0, -1/4, 0, 1/4, 1/4, 0, 1/4, -1/4, 0, -1/4, -1/4, 0, 0, -1/4, 0, 1/2, -1/4, 0, 0 ], [ 0, -1/4, 0, 0, -1/4, -1/4, 0, -1/4, 0, 0, 1/4, 0, -1/2, 1/4, 0, 0, 1/4, -1/4, 0, 1/4, -1/4, 0, 1/4, -1/4 ], [ 0, -1/4, 0, 0, -1/4, -1/4, 1/2, 1/4, 0, 0, 1/4, 0, 0, -1/4, 0, 0, 1/4, 1/4, 0, -1/4, 1/4, 0, 1/4, 1/4 ], [ -1/4, 0, -1/4, 1/4, 0, 0, 1/4, 0, -1/4, 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1/4, -1/4, 0, 1/4, 1/4, 0, -1/4, -1/4 ], [ 0, -1/4, 0, 0, 1/4, 1/4, 0, -1/4, 0, 0, 1/4, 0, 0, -1/4, 0, 0, -1/4, -1/4, 1/2, 1/4, 1/4, 0, 1/4, 1/4 ], [ 1/4, 0, 1/4, -1/4, 0, 0, -1/4, 0, 1/4, -1/4, 0, -1/4, -1/4, 0, 1/4, 1/4, 0, 0, -1/4, 0, 0, -1/4, 0, 1/2 ], [ -1/4, 0, 1/4, -1/4, 0, 0, 1/4, 0, -1/4, 1/4, 0, 1/4, 1/4, 0, 1/4, 1/4, 0, -1/2, -1/4, 0, 0, -1/4, 0, 0 ], [ -1/4, 0, 1/4, -1/4, 0, 0, 1/4, 0, 1/4, 1/4, 0, -1/4, -1/4, 0, 1/4, -1/4, 0, 0, 1/4, 0, 0, 1/4, -1/2, 0 ], [ -1/4, 1/2, -1/4, -1/4, 0, 0, 1/4, 0, 1/4, -1/4, 0, 1/4, -1/4, 0, -1/4, 1/4, 0, 0, 1/4, 0, 0, -1/4, 0, 0 ] ] , #### 163 ## Label: 40A_0 ## Order: 40 ## Centralizer: 80 ## Cycles: [ [ 20, 12 ], [ 40, 4908 ] ] ## Trace: 0 ## Factors: [ [ 20, 1 ], [ 40, 1 ] ] [ [ 1/8, 3/8, -1/8, 3/8, 1/8, -1/8, 3/8, 3/8, 1/8, -1/8, -1/8, 3/8, 1/8, -1/8, -1/8, -1/8, 1/8, -1/8, -1/8, -1/8, -1/8, 1/8, 1/8, 1/8 ], [ -3/8, 3/8, -1/8, -1/8, 1/8, -1/8, -1/8, -1/8, 1/8, 3/8, -1/8, -1/8, 1/8, -1/8, -1/8, -1/8, -3/8, -1/8, 3/8, -1/8, -1/8, 1/8, 1/8, 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-1/8 ] ] , #### 164 ## Label: 40A_1 ## Order: 40 ## Centralizer: 80 ## Cycles: [ [ 20, 12 ], [ 40, 4908 ] ] ## Trace: 0 ## Factors: [ [ 20, 1 ], [ 40, 1 ] ] [ [ -1/8, -3/8, 1/8, -3/8, -1/8, 1/8, -3/8, -3/8, -1/8, 1/8, 1/8, -3/8, -1/8, 1/8, 1/8, 1/8, -1/8, 1/8, 1/8, 1/8, 1/8, -1/8, -1/8, -1/8 ], [ 3/8, -3/8, 1/8, 1/8, -1/8, 1/8, 1/8, 1/8, -1/8, -3/8, 1/8, 1/8, -1/8, 1/8, 1/8, 1/8, 3/8, 1/8, -3/8, 1/8, 1/8, -1/8, -1/8, -1/8 ], [ -1/8, 1/8, 1/8, 1/8, -1/8, 1/8, 1/8, 1/8, 3/8, 1/8, 1/8, 1/8, -1/8, 1/8, 1/8, 1/8, -1/8, 1/8, 1/8, 1/8, 5/8, -1/8, -1/8, 3/8 ], [ -1/8, 1/8, 1/8, 1/8, 3/8, 1/8, 1/8, -3/8, -1/8, -3/8, 1/8, 1/8, 3/8, 1/8, -3/8, 1/8, -1/8, 1/8, 1/8, 1/8, 1/8, -1/8, -1/8, -1/8 ], [ 3/8, 1/8, -3/8, 1/8, 3/8, -3/8, 1/8, 1/8, -1/8, 1/8, 1/8, -3/8, -1/8, 1/8, 1/8, 1/8, -1/8, 1/8, 1/8, 1/8, 1/8, -1/8, -1/8, -1/8 ], [ 1/8, -1/8, 3/8, -1/8, 1/8, -1/8, 3/8, -1/8, 1/8, -1/8, -1/8, -1/8, -3/8, -1/8, -1/8, -1/8, 1/8, -1/8, 3/8, -1/8, -1/8, -3/8, 1/8, 1/8 ], [ 1/8, -1/8, -1/8, -1/8, 1/8, -1/8, 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], [ -1/8, 1/8, 1/8, 1/8, 3/8, 1/8, -3/8, 1/8, -1/8, 1/8, -3/8, 1/8, -1/8, 1/8, 1/8, 1/8, 3/8, -3/8, 1/8, 1/8, 1/8, -1/8, -1/8, -1/8 ], [ 1/8, 3/8, -1/8, -1/8, -3/8, -1/8, -1/8, -1/8, 1/8, -1/8, -1/8, -1/8, 1/8, 3/8, -1/8, -1/8, 1/8, -1/8, -1/8, 3/8, -1/8, -3/8, 1/8, 1/8 ], [ 1/8, -1/8, 3/8, -1/8, 1/8, -1/8, -1/8, 3/8, 1/8, -1/8, -1/8, -1/8, 1/8, 3/8, -1/8, -1/8, -3/8, -1/8, -1/8, -1/8, -1/8, 1/8, -3/8, 1/8 ] ] , #### 165 ## Label: 42A_0 ## Order: 84 ## Centralizer: 84 ## Cycles: [ [ 84, 2340 ] ] ## Trace: 0 ## Factors: [ [ 84, 1 ] ] [ [ 1/8, -1/8, 3/8, 1/8, -3/8, -1/8, -1/8, 1/8, 1/8, -1/8, -1/8, -3/8, -3/8, -1/8, -1/8, 1/8, -1/8, -1/8, -1/8, 3/8, -1/8, -1/8, -1/8, -1/8 ], [ -1/8, 1/8, -3/8, -1/8, -1/8, 1/8, -3/8, -1/8, -1/8, 1/8, -3/8, -1/8, -1/8, 1/8, 1/8, 3/8, 1/8, -3/8, 1/8, 1/8, 1/8, 1/8, 1/8, 1/8 ], [ -1/8, 1/8, 1/8, -1/8, -1/8, -3/8, -3/8, -1/8, -1/8, 1/8, 1/8, -1/8, 3/8, 1/8, -3/8, -1/8, 1/8, 1/8, 1/8, 1/8, 1/8, 1/8, -3/8, 1/8 ], [ -3/8, -1/8, -1/8, 1/8, 1/8, 3/8, -1/8, 1/8, 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1/8, -1/8, -1/8, -1/8, 3/8, -1/8, -3/8, 1/8, 3/8, 1/8, 3/8, -1/8, 1/8, -1/8, -1/8, -1/8, -1/8 ], [ 1/8, -1/8, 1/8, -1/8, 3/8, -1/8, -3/8, -3/8, 3/8, -1/8, -1/8, -1/8, -1/8, 1/8, 1/8, -1/8, -3/8, -1/8, -1/8, 1/8, -1/8, -1/8, -1/8, -1/8 ], [ -1/8, 1/8, -1/8, 1/8, 1/8, 1/8, 3/8, -1/8, 1/8, 1/8, 1/8, -3/8, 1/8, -1/8, -1/8, 1/8, -1/8, 1/8, -3/8, -1/8, -3/8, -3/8, 1/8, 1/8 ], [ 3/8, -3/8, -1/8, 1/8, 1/8, 1/8, -1/8, 3/8, 1/8, 1/8, 1/8, -3/8, 1/8, -1/8, -1/8, 1/8, -1/8, 1/8, 1/8, 3/8, 1/8, 1/8, 1/8, 1/8 ], [ 1/8, -1/8, 1/8, 3/8, -1/8, -1/8, 1/8, 1/8, -1/8, -1/8, -1/8, -1/8, -1/8, 1/8, 5/8, -1/8, 1/8, -1/8, -1/8, 1/8, -1/8, -1/8, 3/8, -1/8 ], [ -1/8, 1/8, -1/8, 1/8, 1/8, 1/8, -1/8, 3/8, 1/8, 1/8, -3/8, 1/8, 1/8, -1/8, -1/8, 1/8, -1/8, -3/8, 1/8, -1/8, -3/8, 1/8, 1/8, -3/8 ], [ -3/8, -1/8, -3/8, -1/8, -1/8, -1/8, -3/8, 1/8, -1/8, 3/8, -1/8, -1/8, -1/8, 1/8, 1/8, -1/8, 1/8, 3/8, -1/8, 1/8, -1/8, -1/8, -1/8, -1/8 ], [ 3/8, 1/8, -1/8, 1/8, -3/8, -3/8, -1/8, -1/8, 1/8, 1/8, 1/8, 1/8, -3/8, -1/8, 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-1/8 ], [ -1/8, 1/8, -1/8, 1/8, 1/8, -3/8, -1/8, -1/8, 1/8, -3/8, -3/8, -3/8, 1/8, -1/8, -1/8, 1/8, 3/8, 1/8, 1/8, -1/8, 1/8, 1/8, 1/8, 1/8 ], [ -1/8, 1/8, 3/8, 1/8, 1/8, 1/8, -1/8, -1/8, 1/8, 1/8, 1/8, 1/8, 1/8, -1/8, -1/8, -3/8, 3/8, 1/8, 1/8, 3/8, -3/8, 1/8, 1/8, 1/8 ], [ -1/8, 1/8, 3/8, 1/8, 1/8, 1/8, -1/8, -1/8, -3/8, 1/8, 1/8, -3/8, -3/8, -1/8, -1/8, 1/8, -1/8, 1/8, 1/8, -1/8, 1/8, 1/8, 1/8, -3/8 ], [ -3/8, -1/8, 1/8, -1/8, -1/8, -1/8, 1/8, 1/8, -1/8, -1/8, -1/8, -1/8, -1/8, -3/8, 1/8, -1/8, -3/8, -1/8, 3/8, 1/8, -1/8, -1/8, -1/8, 3/8 ], [ 1/8, 3/8, 1/8, -1/8, -1/8, -1/8, 1/8, 1/8, -1/8, -1/8, -1/8, -1/8, 3/8, 1/8, 1/8, -1/8, -3/8, 3/8, -1/8, 1/8, -1/8, 3/8, -1/8, -1/8 ], [ -1/8, 1/8, -1/8, 5/8, 1/8, 1/8, -1/8, -1/8, 1/8, 1/8, 1/8, 1/8, 1/8, -1/8, 3/8, 1/8, -1/8, 1/8, 1/8, -1/8, 1/8, 1/8, -3/8, 1/8 ], [ 1/8, -1/8, 1/8, -1/8, -1/8, -1/8, -3/8, 1/8, -1/8, -1/8, 3/8, -1/8, 3/8, -3/8, 1/8, -1/8, 1/8, -1/8, -1/8, -3/8, -1/8, -1/8, -1/8, -1/8 ], [ -1/8, 1/8, -1/8, 1/8, -3/8, 1/8, -1/8, -1/8, 1/8, -3/8, 1/8, 1/8, 1/8, -1/8, -1/8, 1/8, -1/8, 1/8, 1/8, 3/8, 1/8, -3/8, 1/8, -3/8 ], [ 1/8, -1/8, -3/8, -1/8, -1/8, 3/8, 1/8, -3/8, -1/8, -1/8, -1/8, -1/8, -1/8, -3/8, 1/8, -1/8, 1/8, -1/8, -1/8, 1/8, -1/8, 3/8, -1/8, -1/8 ] ] , #### 167 ## Label: 60A_1 ## Order: 60 ## Centralizer: 120 ## Cycles: [ [ 30, 8 ], [ 60, 3272 ] ] ## Trace: -1 ## Factors: [ [ 30, 1 ], [ 60, 1 ] ] [ [ -1/8, 1/8, -1/8, 1/8, -3/8, 1/8, -1/8, -1/8, 1/8, 1/8, 1/8, -3/8, 1/8, 3/8, -1/8, -3/8, -1/8, -3/8, 1/8, -1/8, 1/8, 1/8, 1/8, 1/8 ], [ -1/8, 1/8, -1/8, 1/8, -3/8, 1/8, 3/8, 3/8, -3/8, 1/8, 1/8, 1/8, 1/8, -1/8, -1/8, 1/8, 3/8, 1/8, 1/8, -1/8, 1/8, 1/8, 1/8, 1/8 ], [ 1/8, -1/8, 1/8, -1/8, -1/8, -1/8, -3/8, 1/8, -1/8, -1/8, -1/8, 3/8, -1/8, 1/8, 1/8, -1/8, 1/8, -1/8, 3/8, 1/8, 3/8, 3/8, -1/8, -1/8 ], [ -3/8, 3/8, 1/8, -1/8, -1/8, -1/8, 1/8, -3/8, -1/8, -1/8, -1/8, 3/8, -1/8, 1/8, 1/8, -1/8, 1/8, -1/8, -1/8, -3/8, -1/8, -1/8, -1/8, -1/8 ], [ -1/8, 1/8, -1/8, -3/8, 1/8, 1/8, -1/8, -1/8, 1/8, 1/8, 1/8, 1/8, 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"6H_0", "6I_0", "7A_0", "7A_1", "7B_0", "7B_1", "8A_0", "8B_0", "8C_0", "8C_1", "8D_0", "8E_0", "8E_1", "8F_0", "9A_0", "9A_1", "9B_0", "9B_1", "9C_0", "9C_1", "10A_0", "10A_1", "10B_0", "10C_0", "10D_0", "10D_1", "10E_0", "10E_1", "10F_0", "11A_0", "11A_1", "12A_0", "12A_1", "12B_0", "12C_0", "12D_0", "12D_1", "12E_0", "12E_1", "12F_0", "12G_0", "12H_0", "12H_1", "12I_0", "12I_1", "12J_0", "12K_0", "12K_1", "12L_0", "12M_0", "13A_0", "13A_1", "14A_0", "14B_0", "14B_1", "15A_0", "15A_1", "15B_0", "15B_1", "15C_0", "15C_1", "15D_0", "15D_1", "15E_0", "15E_1", "16A_0", "16B_0", "16B_1", "18A_0", "18A_1", "18B_0", "18B_1", "18C_0", "18C_1", "20A_0", "20A_1", "20B_0", "20C_0", "20C_1", "21A_0", "21A_1", "21B_0", "21B_1", "21C_0", "21C_1", "22A_0", "22A_1", "23A_0", "23A_1", "23B_0", "23B_1", "24A_0", "24B_0", "24B_1", "24C_0", "24D_0", "24E_0", "24F_0", "24F_1", "26A_0", "28A_0", "28A_1", "28B_0", "28B_1", "30A_0", "30A_1", "30B_0", "30C_0", "30D_0", "30D_1", "30E_0", "30E_1", "33A_0", "33A_1", "35A_0", "35A_1", "36A_0", "36A_1", "39A_0", "39A_1", "39B_0", "39B_1", "40A_0", "40A_1", "42A_0", "60A_0", "60A_1" ]; lst_orders := [ 1, 2, 2, 2, 4, 2, 3, 6, 3, 6, 3, 6, 3, 6, 4, 4, 4, 4, 4, 4, 8, 4, 5, 10, 5, 10, 5, 10, 6, 6, 12, 6, 6, 6, 6, 6, 6, 6, 6, 6, 12, 6, 7, 14, 7, 14, 8, 8, 8, 8, 8, 8, 8, 8, 9, 18, 9, 18, 9, 18, 10, 10, 20, 20, 10, 10, 10, 10, 10, 11, 22, 12, 12, 12, 12, 12, 12, 12, 12, 24, 12, 12, 12, 12, 12, 12, 12, 12, 24, 12, 13, 26, 28, 14, 14, 15, 30, 15, 30, 15, 30, 15, 30, 15, 30, 16, 16, 16, 18, 18, 18, 18, 18, 18, 20, 20, 20, 20, 20, 21, 42, 21, 42, 21, 42, 22, 22, 23, 46, 23, 46, 24, 24, 24, 24, 24, 24, 24, 24, 52, 28, 28, 56, 56, 30, 30, 60, 60, 30, 30, 30, 30, 33, 66, 35, 70, 36, 36, 39, 78, 39, 78, 40, 40, 84, 60, 60 ]; lst_centralizers := [ 8315553613086720000, 8315553613086720000, 178362777600, 178362777600, 2012774400, 389283840, 2690072985600, 2690072985600, 117573120, 117573120, 25194240, 25194240, 1088640, 1088640, 743178240, 743178240, 1179648, 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