##########################################2F4_B########################################### # # # This file contains the generic character table of the standard parabolic # subgroup of the Ree groups 2F4(2^(2*n+1)), n > 0. # # This table can be used with both versions of cheviem (i.e., with # Maple V.3, or with Maple 8 and higher, see the CHEVIE homepage). # # Copy this file to the tables/2F4/ subdirectory of your cheviem # installation. Then, it can be used via the GenCharTab() # instruction of cheviem. # # Example: # # # Read the file into cheviem: # # > GenCharTab(`2F4_B`); # # Get information on the conjugacy classes: # # > PrintInfoClass(g); # # Get information on the characters: # # > PrintInfoChar(g); # # Compute the norm of the characters stored in 2F4_B: # # > Norm(g); # # ########################################################################################## lprint(`*******************************************************************************`); lprint(`* *`); lprint(`* *`); lprint(`* Generic Character Table of the Standard Borel Subgroup *`); lprint(`* of ^2F4(q), q^2 = 2^(2n+1), n > 0 *`); lprint(`* *`); lprint(`* *`); lprint(`*******************************************************************************`); `2F4_B` := array( -2 .. 58, -1 .. 99, [[`2F4Borel`, `2F4B02`, q^24*(q^2-1)^2, 58, 58, 99, 99], [[` `], [` `], [[1,0], `1`], [[1,1], `alpha_12(1)`], [[1,2], `alpha_11(1)`], [[1,3], `alpha_10(1)`], [[1,4], `alpha_9(1)`], [[1,5], `alpha_8(1)`], [[1,6], `alpha_8(1) alpha_11(1)`], [[1,7], `alpha_7(1)`], [[1,8], `alpha_7(1) alpha_8(1)`], [[1,9], `alpha_6(1)`], [[1,10], `alpha_6(1) alpha_11(1)`], [[1,11], `alpha_6(1) alpha_9(1)`], [[1,12], `alpha_5(1)`], [[1,13], `alpha_5(1) alpha_12(1)`], [[1,14], `alpha_5(1) alpha_7(1)`], [[1,15], `alpha_5(1) alpha_6(1)`], [[1,16], `alpha_5(1) alpha_6(1) alpha_8(1)`], [[1,17], `alpha_4(1)`], [[1,18], `alpha_4(1) alpha_11(1)`], [[1,19], `alpha_4(1) alpha_8(1)`], [[1,20], `alpha_4(1) alpha_8(1) alpha_11(1)`], [[1,21], `alpha_4(1) alpha_6(1)`], [[1,22], `alpha_4(1) alpha_6(1) alpha_11(1)`], [[1,23], `alpha_3(1)`], [[1,24], `alpha_3(1) alpha_11(1)`], [[1,25], `alpha_3(1) alpha_6(1)`], [[1,26], `alpha_3(1) alpha_6(1) alpha_11(1)`], [[1,27], `alpha_3(1) alpha_6(1) alpha_9(1)`], [[1,28], `alpha_3(1) alpha_6(1) alpha_9(1) alpha_11(1)`], [[1,29], `alpha_3(1) alpha_6(1) alpha_9(a)`], [[1,30], `alpha_3(1) alpha_6(1) alpha_9(a) alpha_11(1)`], [[1,31], `alpha_3(1) alpha_5(1)`], [[1,32], `alpha_3(1) alpha_5(1) alpha_6(1)`], [[1,33], `alpha_3(1) alpha_5(1) alpha_6(1) alpha_8(1)`], [[1,34], `alpha_3(1) alpha_5(a) alpha_6(1)`], [[1,35], `alpha_3(1) alpha_5(a) alpha_6(1)`], [[1,36], `alpha_3(1) alpha_5(a) alpha_6(1) alpha_8(t_a)`], [[1,37], `alpha_3(1) alpha_5(a) alpha_6(1) alpha_8(t_a)`], [[1,38], `alpha_2(1)`], [[1,39], `alpha_2(1) alpha_12(1)`], [[1,40], `alpha_2(1) alpha_9(1)`], [[1,41], `alpha_2(1) alpha_8(1)`], [[1,42], `alpha_2(1) alpha_6(1)`], [[1,43], `alpha_2(1) alpha_6(1) alpha_11(1)`], [[1,44], `alpha_2(1) alpha_6(1) alpha_9(1)`], [[1,45], `alpha_2(1) alpha_6(a) alpha_9(1)`], [[1,46], `alpha_2(1) alpha_6(a) alpha_8(1)`], [[1,47], `alpha_2(1) alpha_6(a) alpha_8(1)`], [[1,48], `alpha_2(1) alpha_6(a) alpha_8(1)`], [[1,49], `alpha_2(1) alpha_4(1)`], [[1,50], `alpha_2(1) alpha_4(1) alpha_5(1)`], [[1,51], `alpha_2(1) alpha_4(1) alpha_5(1) alpha_8(1)`], [[1,52], `alpha_2(1) alpha_3(1)`], [[1,53], `alpha_2(1) alpha_3(1) alpha_5(1)`], [[1,54], `alpha_1(1)`], [[1,55], `alpha_1(1) alpha_12(1)`], [[1,56], `alpha_1(1) alpha_8(1)`], [[1,57], `alpha_1(1) alpha_5(1)`], [[1,58], `alpha_1(1) alpha_5(1) alpha_12(1)`], [[1,59], `alpha_1(1) alpha_6(1) alpha_8(a)`], [[1,60], `alpha_1(1) alpha_6(1) alpha_8(a)`], [[1,61], `alpha_1(1) alpha_6(1) alpha_8(a)`], [[1,62], `alpha_1(1) alpha_2(1)`], [[1,63], `alpha_1(1) alpha_2(1) alpha_12(1)`], [[1,64], `alpha_1(1) alpha_2(1) alpha_8(1)`], [[1,65], `alpha_1(1) alpha_2(1) alpha_6(1) alpha_8(a)`], [[1,66], `alpha_1(1) alpha_2(1) alpha_6(1) alpha_8(a)`], [[1,67], `alpha_1(1) alpha_2(1) alpha_6(1) alpha_8(a)`], [[1,68], `alpha_1(1) alpha_2(1) alpha_6(1)`], [[1,69], `alpha_1(1) alpha_2(1) alpha_4(1)`], [[1,70], `alpha_1(1) alpha_3(1)`], [[1,71], `alpha_1(1) alpha_3(1) alpha_5(1)`], [[1,72], `alpha_1(1) alpha_2(1) alpha_3(1)`], [[1,73], `alpha_1(1) alpha_2(1) alpha_3(1) alpha_5(1)`], [[2,0], `h_2`], [[2,1], `h_2 alpha_2(1)`], [[2,2], `h_2 alpha_1(1)`], [[2,3], `h_2 alpha_1(1) alpha_2(1)`], [[3,0], `h_3`], [[3,1], `h_3 alpha_3(1)`], [[4,0], `h_4`], [[4,1], `h_4 alpha_8(1)`], [[4,2], `h_4 alpha_4(1)`], [[4,3], `h_4 alpha_4(1) alpha_8(1)`], [[5,0], `h_5`], [[5,1], `h_5 alpha_12(1)`], [[5,2], `h_5 alpha_5(1)`], [[5,3], `h_5 alpha_5(1) alpha_12(1)`], [[6,0], `h_6`], [[6,1], `h_6 alpha_11(1)`], [[6,2], `h_6 alpha_6(1)`], [[6,3], `h_6 alpha_6(1) alpha_11(1)`], [[7,0], `h_7`], [[7,1], `h_7 alpha_7(1)`], [[8,0], `h_8`], [[8,1], `h_8 alpha_9(1)`], [[9,0], `h_9`], [[9,1], `h_9 alpha_10(1)`], [[10,0], `h_10`]], [`classlength`,1, 1,q^2-1,q^2*(q^2-1),q^4*(q^2-1),q^6*(q^2-1),q^6*(q^2-1),q^6*(q^2-1)^2,q^8*(q^2-1), q^8*(q^2-1)^2,1/2*q^10*(q^2-1),1/2*q^10*(q^2-1),q^10*(q^2-1)^2,1/2*q^10*(q^2-1),1/2*q^10*(q^2-1), q^10*(q^2-1)^2,1/2*q^12*(q^2-1)^2,1/2*q^12*(q^2-1)^2,1/2*q^12*(q^2-1),1/2*q^12*(q^2-1)^2,1/2*q^12*(q^2-1), 1/2*q^12*(q^2-1)^2,1/2*q^14*(q^2-1)^2,1/2*q^14*(q^2-1)^2,q^12*(q^2-1),q^12*(q^2-1)^2,1/2*q^12*(q^2-1)^2, 1/2*q^12*(q^2-1)^2,1/2*q^12*(q^2-1)^2,1/2*q^12*(q^2-1)^2,1/2*q^12*(q^2-1)^2,1/2*q^12*(q^2-1)^2, q^14*(q^2-1)^2,1/2*q^14*(q^2-1)^2,1/2*q^14*(q^2-1)^2,1/2*q^14*(q^2-1)^2,1/2*q^14*(q^2-1)^2, 1/2*q^14*(q^2-1)^2,1/2*q^14*(q^2-1)^2,q^8*(q^2-1),q^8*(q^2-1)^2,q^10*(q^2-1)^2,q^12*(q^2-1)^2, 1/2*q^10*(q^2-1)^2,1/2*q^10*(q^2-1)^2,q^10*(q^2-1)^2,q^10*(q^2-1)^2,q^12*(q^2-1)^2,q^12*(q^2-1)^2, q^12*(q^2-1)^2,1/2*q^16*(q^2-1)^2,1/4*q^16*(q^2-1)^2,1/4*q^16*(q^2-1)^2,1/2*q^18*(q^2-1)^2, 1/2*q^18*(q^2-1)^2,1/2*q^14*(q^2-1),1/2*q^14*(q^2-1)^2,1/2*q^16*(q^2-1)^2,1/4*q^16*(q^2-1)^2, 1/4*q^16*(q^2-1)^2,1/2*q^16*(q^2-1)^2,1/2*q^16*(q^2-1)^2,1/2*q^16*(q^2-1)^2,1/2*q^14*(q^2-1), 1/2*q^14*(q^2-1)^2,1/2*q^16*(q^2-1)^2,1/2*q^16*(q^2-1)^2,1/2*q^16*(q^2-1)^2,1/2*q^16*(q^2-1)^2, 1/4*q^16*(q^2-1)^2,1/4*q^16*(q^2-1)^2,1/4*q^20*(q^2-1)^2,1/4*q^20*(q^2-1)^2,1/4*q^20*(q^2-1)^2, 1/4*q^20*(q^2-1)^2,q^20,q^20*(q^2-1),1/2*q^22*(q^2-1),1/2*q^22*(q^2-1),q^22,q^22*(q^2-1),q^20, q^20*(q^2-1),1/2*q^22*(q^2-1),1/2*q^22*(q^2-1),q^20,q^20*(q^2-1),1/2*q^22*(q^2-1),1/2*q^22*(q^2-1), q^20,q^20*(q^2-1),1/2*q^22*(q^2-1),1/2*q^22*(q^2-1),q^22,q^22*(q^2-1),q^22,q^22*(q^2-1), q^22,q^22*(q^2-1),q^24], #1 [[`B_chi1`,`irreducible `], 1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1, 1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,GEWZ2^(iI*kK),GEWZ2^(iI*kK), GEWZ2^(iI*kK),GEWZ2^(iI*kK),GEWZ2^(iI*kK+(q*r2-1)*iI*lL),GEWZ2^(iI*kK+(q*r2-1)*iI*lL),GEWZ2^(iI*kK+iI*lL), GEWZ2^(iI*kK+iI*lL),GEWZ2^(iI*kK+iI*lL),GEWZ2^(iI*kK+iI*lL),GEWZ2^(iI*lL),GEWZ2^(iI*lL),GEWZ2^(iI*lL), GEWZ2^(iI*lL),GEWZ2^(iI*kK-iI*lL),GEWZ2^(iI*kK-iI*lL),GEWZ2^(iI*kK-iI*lL),GEWZ2^(iI*kK-iI*lL), GEWZ2^(iI*kK+(1-q*r2)*iI*lL),GEWZ2^(iI*kK+(1-q*r2)*iI*lL),GEWZ2^((q*r2-1)*iI*kK+iI*lL), GEWZ2^((q*r2-1)*iI*kK+iI*lL),GEWZ2^((1-q*r2)*iI*kK+iI*lL),GEWZ2^((1-q*r2)*iI*kK+iI*lL), GEWZ2^(iI*kK+jJ*lL)], #2 [[`B_chi2`,`irreducible `], q^2-1,q^2-1,q^2-1,q^2-1,q^2-1,q^2-1,q^2-1,q^2-1,q^2-1,q^2-1,q^2-1,q^2-1,q^2-1,q^2-1,q^2-1,q^2-1,q^2-1,q^2-1,q^2-1, q^2-1,q^2-1,q^2-1,q^2-1,q^2-1,q^2-1,q^2-1,q^2-1,q^2-1,q^2-1,q^2-1,q^2-1,q^2-1,q^2-1,q^2-1,q^2-1,q^2-1,q^2-1,q^2-1, q^2-1,q^2-1,q^2-1,q^2-1,q^2-1,q^2-1,q^2-1,q^2-1,q^2-1,q^2-1,q^2-1,q^2-1,q^2-1,q^2-1,q^2-1,q^2-1,q^2-1,-1,-1,-1, -1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,(q^2-1)*GEWZ2^(iI*kK),(q^2-1)*GEWZ2^(iI*kK),-GEWZ2^(iI*kK), -GEWZ2^(iI*kK),0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], #3 [[`B_chi3`,`irreducible `], q/r2*(q^2-1),q/r2*(q^2-1),q/r2*(q^2-1),q/r2*(q^2-1),q/r2*(q^2-1),q/r2*(q^2-1),q/r2*(q^2-1),q/r2*(q^2-1),q/r2*(q^2-1), q/r2*(q^2-1),q/r2*(q^2-1),q/r2*(q^2-1),q/r2*(q^2-1),q/r2*(q^2-1),q/r2*(q^2-1),q/r2*(q^2-1),q/r2*(q^2-1), q/r2*(q^2-1),q/r2*(q^2-1),q/r2*(q^2-1),q/r2*(q^2-1),q/r2*(q^2-1),q/r2*(q^2-1),q/r2*(q^2-1),q/r2*(q^2-1), q/r2*(q^2-1),q/r2*(q^2-1),q/r2*(q^2-1),q/r2*(q^2-1),q/r2*(q^2-1),q/r2*(q^2-1),q/r2*(q^2-1),q/r2*(q^2-1), q/r2*(q^2-1),q/r2*(q^2-1),q/r2*(q^2-1),q/r2*(q^2-1), q/r2*(q^2-1),q/r2*(q^2-1),-q/r2,-q/r2,-q/r2,-q/r2,-q/r2,-q/r2,-q/r2,-q/r2,-q/r2,-q/r2,-q/r2,-q/r2,-q/r2, -q/r2,-q/r2,-q/r2,EW4*q/r2,EW4*q/r2,EW4*q/r2,EW4*q/r2,EW4*q/r2,EW4*q/r2,EW4*q/r2,EW4*q/r2,-EW4*q/r2,-EW4*q/r2, -EW4*q/r2,-EW4*q/r2,-EW4*q/r2,-EW4*q/r2,-EW4*q/r2,-EW4*q/r2,EW4*q/r2,EW4*q/r2,-EW4*q/r2,-EW4*q/r2, q/r2*(q^2-1)*GEWZ2^(iI*kK),-q/r2*GEWZ2^(iI*kK),EW4*q/r2*GEWZ2^(iI*kK),-EW4*q/r2*GEWZ2^(iI*kK),0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0], #4 [[`B_chi4`,`irreducible `], q/r2*(q^2-1),q/r2*(q^2-1),q/r2*(q^2-1),q/r2*(q^2-1),q/r2*(q^2-1),q/r2*(q^2-1),q/r2*(q^2-1),q/r2*(q^2-1),q/r2*(q^2-1), q/r2*(q^2-1),q/r2*(q^2-1),q/r2*(q^2-1),q/r2*(q^2-1),q/r2*(q^2-1),q/r2*(q^2-1),q/r2*(q^2-1),q/r2*(q^2-1),q/r2*(q^2-1), q/r2*(q^2-1),q/r2*(q^2-1),q/r2*(q^2-1),q/r2*(q^2-1),q/r2*(q^2-1),q/r2*(q^2-1),q/r2*(q^2-1),q/r2*(q^2-1),q/r2*(q^2-1), q/r2*(q^2-1),q/r2*(q^2-1),q/r2*(q^2-1),q/r2*(q^2-1),q/r2*(q^2-1),q/r2*(q^2-1),q/r2*(q^2-1),q/r2*(q^2-1),q/r2*(q^2-1), q/r2*(q^2-1),q/r2*(q^2-1),q/r2*(q^2-1),-q/r2,-q/r2,-q/r2,-q/r2,-q/r2,-q/r2,-q/r2,-q/r2,-q/r2,-q/r2,-q/r2,-q/r2,-q/r2, -q/r2,-q/r2,-q/r2,-EW4*q/r2,-EW4*q/r2,-EW4*q/r2,-EW4*q/r2,-EW4*q/r2,-EW4*q/r2,-EW4*q/r2,-EW4*q/r2,EW4*q/r2,EW4*q/r2, EW4*q/r2,EW4*q/r2,EW4*q/r2,EW4*q/r2,EW4*q/r2,EW4*q/r2,-EW4*q/r2,-EW4*q/r2,EW4*q/r2,EW4*q/r2,q/r2*(q^2-1)*GEWZ2^(iI*kK), -q/r2*GEWZ2^(iI*kK),-EW4*q/r2*GEWZ2^(iI*kK),EW4*q/r2*GEWZ2^(iI*kK),0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], #5 [[`B_chi5`,`irreducible `], q^2-1,q^2-1,q^2-1,q^2-1,q^2-1,q^2-1,q^2-1,q^2-1,q^2-1,q^2-1,q^2-1,q^2-1,q^2-1,q^2-1,q^2-1,q^2-1,q^2-1,q^2-1,q^2-1, q^2-1,q^2-1,q^2-1,q^2-1,q^2-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,q^2-1,q^2-1,q^2-1,q^2-1,q^2-1, q^2-1,q^2-1,q^2-1,q^2-1,q^2-1,q^2-1,q^2-1,q^2-1,q^2-1,-1,-1,q^2-1,q^2-1,q^2-1,q^2-1,q^2-1,q^2-1,q^2-1,q^2-1, q^2-1,q^2-1,q^2-1,q^2-1,q^2-1,q^2-1,q^2-1,q^2-1,-1,-1,-1,-1,0,0,0,0,(q^2-1)*GEWZ2^(iI*kK),-GEWZ2^(iI*kK), 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], #6 [[`B_chi6`,`irreducible `], q/r2*(q^2-1)^2,q/r2*(q^2-1)^2,q/r2*(q^2-1)^2,q/r2*(q^2-1)^2,q/r2*(q^2-1)^2,q/r2*(q^2-1)^2,q/r2*(q^2-1)^2,q/r2*(q^2-1)^2, q/r2*(q^2-1)^2,q/r2*(q^2-1)^2,q/r2*(q^2-1)^2,q/r2*(q^2-1)^2,q/r2*(q^2-1)^2,q/r2*(q^2-1)^2,q/r2*(q^2-1)^2,q/r2*(q^2-1)^2, q/r2*(q^2-1)^2,q/r2*(q^2-1)^2,q/r2*(q^2-1)^2,q/r2*(q^2-1)^2,q/r2*(q^2-1)^2,q/r2*(q^2-1)^2,q/r2*(q^2-1)^2,q/r2*(q^2-1)^2, -q/r2*(q^2-1),-q/r2*(q^2-1),-q/r2*(q^2-1),-q/r2*(q^2-1),-q/r2*(q^2-1),-q/r2*(q^2-1),-q/r2*(q^2-1),-q/r2*(q^2-1), -q/r2*(q^2-1),-q/r2*(q^2-1),-q/r2*(q^2-1),-q/r2*(q^2-1),-q/r2*(q^2-1),-q/r2*(q^2-1),-q/r2*(q^2-1),-q/r2*(q^2-1), -q/r2*(q^2-1),-q/r2*(q^2-1),-q/r2*(q^2-1),-q/r2*(q^2-1),-q/r2*(q^2-1),-q/r2*(q^2-1),-q/r2*(q^2-1),-q/r2*(q^2-1), -q/r2*(q^2-1),-q/r2*(q^2-1),-q/r2*(q^2-1),-q/r2*(q^2-1),-q/r2*(q^2-1),q/r2,q/r2,EW4*q/r2*(q^2-1),EW4*q/r2*(q^2-1), EW4*q/r2*(q^2-1),EW4*q/r2*(q^2-1),EW4*q/r2*(q^2-1),EW4*q/r2*(q^2-1),EW4*q/r2*(q^2-1),EW4*q/r2*(q^2-1),-EW4*q/r2*(q^2-1), -EW4*q/r2*(q^2-1),-EW4*q/r2*(q^2-1),-EW4*q/r2*(q^2-1),-EW4*q/r2*(q^2-1),-EW4*q/r2*(q^2-1),-EW4*q/r2*(q^2-1), -EW4*q/r2*(q^2-1),-EW4*q/r2,-EW4*q/r2,EW4*q/r2,EW4*q/r2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], #7 [[`B_chi7`,`irreducible `], q/r2*(q^2-1)^2,q/r2*(q^2-1)^2,q/r2*(q^2-1)^2,q/r2*(q^2-1)^2,q/r2*(q^2-1)^2,q/r2*(q^2-1)^2,q/r2*(q^2-1)^2,q/r2*(q^2-1)^2, q/r2*(q^2-1)^2,q/r2*(q^2-1)^2,q/r2*(q^2-1)^2,q/r2*(q^2-1)^2,q/r2*(q^2-1)^2,q/r2*(q^2-1)^2,q/r2*(q^2-1)^2,q/r2*(q^2-1)^2, q/r2*(q^2-1)^2,q/r2*(q^2-1)^2,q/r2*(q^2-1)^2,q/r2*(q^2-1)^2,q/r2*(q^2-1)^2,q/r2*(q^2-1)^2,q/r2*(q^2-1)^2,q/r2*(q^2-1)^2, -q/r2*(q^2-1),-q/r2*(q^2-1),-q/r2*(q^2-1),-q/r2*(q^2-1),-q/r2*(q^2-1),-q/r2*(q^2-1),-q/r2*(q^2-1),-q/r2*(q^2-1), -q/r2*(q^2-1),-q/r2*(q^2-1),-q/r2*(q^2-1),-q/r2*(q^2-1),-q/r2*(q^2-1),-q/r2*(q^2-1),-q/r2*(q^2-1),-q/r2*(q^2-1), -q/r2*(q^2-1),-q/r2*(q^2-1),-q/r2*(q^2-1),-q/r2*(q^2-1),-q/r2*(q^2-1),-q/r2*(q^2-1),-q/r2*(q^2-1),-q/r2*(q^2-1), -q/r2*(q^2-1),-q/r2*(q^2-1),-q/r2*(q^2-1),-q/r2*(q^2-1),-q/r2*(q^2-1),q/r2,q/r2,-EW4*q/r2*(q^2-1), -EW4*q/r2*(q^2-1),-EW4*q/r2*(q^2-1),-EW4*q/r2*(q^2-1),-EW4*q/r2*(q^2-1),-EW4*q/r2*(q^2-1),-EW4*q/r2*(q^2-1), -EW4*q/r2*(q^2-1),EW4*q/r2*(q^2-1),EW4*q/r2*(q^2-1),EW4*q/r2*(q^2-1),EW4*q/r2*(q^2-1),EW4*q/r2*(q^2-1),EW4*q/r2*(q^2-1), EW4*q/r2*(q^2-1),EW4*q/r2*(q^2-1),EW4*q/r2,EW4*q/r2,-EW4*q/r2,-EW4*q/r2,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0], #8 [[`B_chi8`,`irreducible `], (q^2-1)^2,(q^2-1)^2,(q^2-1)^2,(q^2-1)^2,(q^2-1)^2,(q^2-1)^2,(q^2-1)^2,(q^2-1)^2,(q^2-1)^2,(q^2-1)^2, (q^2-1)^2,(q^2-1)^2,(q^2-1)^2,(q^2-1)^2,(q^2-1)^2,(q^2-1)^2,(q^2-1)^2,(q^2-1)^2,(q^2-1)^2,(q^2-1)^2, (q^2-1)^2,(q^2-1)^2,(q^2-1)^2,(q^2-1)^2,-(q^2-1),-(q^2-1),-(q^2-1),-(q^2-1),-(q^2-1),-(q^2-1),-(q^2-1), -(q^2-1),-(q^2-1),-(q^2-1),-(q^2-1),-(q^2-1),-(q^2-1),-(q^2-1),-(q^2-1),(q^2-1)^2,(q^2-1)^2,(q^2-1)^2, (q^2-1)^2,(q^2-1)^2,(q^2-1)^2,(q^2-1)^2,(q^2-1)^2,(q^2-1)^2,(q^2-1)^2,(q^2-1)^2,(q^2-1)^2,(q^2-1)^2, (q^2-1)^2,-(q^2-1),-(q^2-1),-(q^2-1),-(q^2-1),-(q^2-1),-(q^2-1),-(q^2-1),-(q^2-1),-(q^2-1),-(q^2-1),-(q^2-1), -(q^2-1),-(q^2-1),-(q^2-1),-(q^2-1),-(q^2-1),-(q^2-1),-(q^2-1),1,1,1,1,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], #9 [[`B_chi9`,`irreducible `], q^2*(q^2-1),q^2*(q^2-1),q^2*(q^2-1),q^2*(q^2-1),q^2*(q^2-1),q^2*(q^2-1),q^2*(q^2-1),q^2*(q^2-1), q^2*(q^2-1),q^2*(q^2-1),q^2*(q^2-1),q^2*(q^2-1),q^2*(q^2-1),q^2*(q^2-1),q^2*(q^2-1),q^2*(q^2-1), q^2*(q^2-1),q^2*(q^2-1),-q^2,-q^2,-q^2,-q^2,-q^2,-q^2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, q^2*(q^2-1),q^2*(q^2-1),q^2*(q^2-1),q^2*(q^2-1),q^2*(q^2-1),q^2*(q^2-1),q^2*(q^2-1),q^2*(q^2-1),q^2*(q^2-1), q^2*(q^2-1),q^2*(q^2-1),-q^2,-q^2,-q^2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,(q^2-1)*GEWZ2^(iI*kK),(q^2-1)*GEWZ2^(iI*kK),-GEWZ2^(iI*kK),-GEWZ2^(iI*kK),0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0], #10 [[`B_chi10`,`irreducible `], q^2*(q^2-1)^2,q^2*(q^2-1)^2,q^2*(q^2-1)^2,q^2*(q^2-1)^2,q^2*(q^2-1)^2,q^2*(q^2-1)^2,q^2*(q^2-1)^2, q^2*(q^2-1)^2,q^2*(q^2-1)^2,q^2*(q^2-1)^2,q^2*(q^2-1)^2,q^2*(q^2-1)^2,q^2*(q^2-1)^2,q^2*(q^2-1)^2, q^2*(q^2-1)^2,q^2*(q^2-1)^2,q^2*(q^2-1)^2,q^2*(q^2-1)^2,-q^2*(q^2-1),-q^2*(q^2-1),-q^2*(q^2-1),-q^2*(q^2-1), -q^2*(q^2-1),-q^2*(q^2-1),0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-q^2*(q^2-1),-q^2*(q^2-1),-q^2*(q^2-1), -q^2*(q^2-1),-q^2*(q^2-1),-q^2*(q^2-1),-q^2*(q^2-1),-q^2*(q^2-1),-q^2*(q^2-1),-q^2*(q^2-1),-q^2*(q^2-1), q^2,q^2,q^2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], #11 [[`B_chi11`,`irreducible `], q^4*(q^2-1),q^4*(q^2-1),q^4*(q^2-1),q^4*(q^2-1),q^4*(q^2-1),q^4*(q^2-1),q^4*(q^2-1),q^4*(q^2-1),q^4*(q^2-1),q^4*(q^2-1), q^4*(q^2-1),q^4*(q^2-1),q^4*(q^2-1),-q^4,-q^4,-q^4,-q^4,-q^4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,(q^2-1)*GEWZ2^(iI*kK),(q^2-1)*GEWZ2^(iI*kK),-GEWZ2^(iI*kK),-GEWZ2^(iI*kK), 0,0,0,0,0,0,0,0,0,0,0], #12 [[`B_chi12`,`irreducible `], q^4*(q^2-1),q^4*(q^2-1),q^4*(q^2-1),q^4*(q^2-1),q^4*(q^2-1),q^4*(q^2-1),q^4*(q^2-1),q^4*(q^2-1),q^4*(q^2-1), q^4*(q^2-1),-q^4,-q^4,-q^4,q^4*(q^2-1),q^4*(q^2-1),q^4*(q^2-1),-q^4,-q^4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,(q^2-1)*GEWZ2^(iI*kK),(q^2-1)*GEWZ2^(iI*kK),-GEWZ2^(iI*kK),-GEWZ2^(iI*kK),0,0,0,0,0,0,0], #13 [[`B_chi13`,`irreducible `], q^4/2*(q^2-1)^2,q^4/2*(q^2-1)^2,q^4/2*(q^2-1)^2,q^4/2*(q^2-1)^2,q^4/2*(q^2-1)^2,q^4/2*(q^2-1)^2,q^4/2*(q^2-1)^2, q^4/2*(q^2-1)^2,q^4/2*(q^2-1)^2,q^4/2*(q^2-1)^2,-q^4/2*(q^2-1),-q^4/2*(q^2-1),-q^4/2*(q^2-1),-q^4/2*(q^2-1), -q^4/2*(q^2-1),-q^4/2*(q^2-1),q^4/2,q^4/2,q^4/2*(q^2-1),q^4/2*(q^2-1),q^4/2*(q^2-1),q^4/2*(q^2-1),-q^4/2, -q^4/2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,q^4/2*(q^2-1),q^4/2*(q^2-1),q^4/2*(q^2-1),q^4/2*(q^2-1),-q^4/2,-q^4/2, -q^4/2,-q^4/2,-q^4/2,-q^4/2,-q^4/2,q^4/2,-q^4/2,-q^4/2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], #14 [[`B_chi14`,`irreducible `], q^4/2*(q^2-1)^2,q^4/2*(q^2-1)^2,q^4/2*(q^2-1)^2,q^4/2*(q^2-1)^2,q^4/2*(q^2-1)^2,q^4/2*(q^2-1)^2,q^4/2*(q^2-1)^2, q^4/2*(q^2-1)^2,q^4/2*(q^2-1)^2,q^4/2*(q^2-1)^2,-q^4/2*(q^2-1),-q^4/2*(q^2-1),-q^4/2*(q^2-1),-q^4/2*(q^2-1), -q^4/2*(q^2-1),-q^4/2*(q^2-1),q^4/2,q^4/2,q^4/2*(q^2-1),q^4/2*(q^2-1),q^4/2*(q^2-1),q^4/2*(q^2-1),-q^4/2, -q^4/2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-q^4/2*(q^2-1),-q^4/2*(q^2-1),-q^4/2*(q^2-1),-q^4/2*(q^2-1), q^4/2,q^4/2,q^4/2,q^4/2,q^4/2,q^4/2,q^4/2,-q^4/2,q^4/2,q^4/2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], #15 [[`B_chi15`,`irreducible `], q^4/4*(q^2-1)^2,q^4/4*(q^2-1)^2,q^4/4*(q^2-1)^2,q^4/4*(q^2-1)^2,q^4/4*(q^2-1)^2,q^4/4*(q^2-1)^2,q^4/4*(q^2-1)^2, q^4/4*(q^2-1)^2,q^4/4*(q^2-1)^2,q^4/4*(q^2-1)^2,-q^4/4*(q^2-1),-q^4/4*(q^2-1),-q^4/4*(q^2-1),-q^4/4*(q^2-1), -q^4/4*(q^2-1),-q^4/4*(q^2-1),q^4/4,q^4/4,-q^4/4*(q^2-1),-q^4/4*(q^2-1),-q^4/4*(q^2-1),-q^4/4*(q^2-1),q^4/4, q^4/4,-1/2*q^3/r2*(q^2-1),-1/2*q^3/r2*(q^2-1),1/2*q^3/r2,1/2*q^3/r2,1/2*q^3/r2,1/2*q^3/r2,1/2*q^3/r2,1/2*q^3/r2, 1/2*q^3/r2,-1/2*q^3/r2*(q^2-1),-1/2*q^3/r2*(q^2-1),1/2*q^3/r2,1/2*q^3/r2,1/2*q^3/r2,1/2*q^3/r2,q^4/4*(q^2-1), q^4/4*(q^2-1),q^4/4*(q^2-1),q^4/4*(q^2-1),-q^4/4,-q^4/4,-q^4/4,-q^4/4,-q^4/4,-q^4/4,-q^4/4,-q^4/4, q^4/4,q^4/4,-1/2*q^3/r2,1/2*q^3/r2,q^2/2*(q^2-1),q^2/2*(q^2-1),q^2/2*(q^2-1),-q^2/2,-q^2/2,-q^2/2, -q^2/2,-q^2/2,q^2/2*(q^2-1),q^2/2*(q^2-1),q^2/2*(q^2-1),-q^2/2,-q^2/2,-q^2/2,-q^2/2,-q^2/2,-q^2/2,q^2/2, -q^2/2,q^2/2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], #16 [[`B_chi16`,`irreducible `], q^4/4*(q^2-1)^2,q^4/4*(q^2-1)^2,q^4/4*(q^2-1)^2,q^4/4*(q^2-1)^2,q^4/4*(q^2-1)^2,q^4/4*(q^2-1)^2,q^4/4*(q^2-1)^2, q^4/4*(q^2-1)^2,q^4/4*(q^2-1)^2,q^4/4*(q^2-1)^2,-q^4/4*(q^2-1),-q^4/4*(q^2-1),-q^4/4*(q^2-1),-q^4/4*(q^2-1), -q^4/4*(q^2-1),-q^4/4*(q^2-1),q^4/4,q^4/4,-q^4/4*(q^2-1),-q^4/4*(q^2-1),-q^4/4*(q^2-1),-q^4/4*(q^2-1),q^4/4, q^4/4,-1/2*q^3/r2*(q^2-1),-1/2*q^3/r2*(q^2-1),1/2*q^3/r2,1/2*q^3/r2,1/2*q^3/r2,1/2*q^3/r2,1/2*q^3/r2, 1/2*q^3/r2,1/2*q^3/r2,-1/2*q^3/r2*(q^2-1),-1/2*q^3/r2*(q^2-1),1/2*q^3/r2,1/2*q^3/r2,1/2*q^3/r2,1/2*q^3/r2, q^4/4*(q^2-1),q^4/4*(q^2-1),q^4/4*(q^2-1),q^4/4*(q^2-1),-q^4/4,-q^4/4,-q^4/4,-q^4/4,-q^4/4,-q^4/4,-q^4/4, -q^4/4,q^4/4,q^4/4,-1/2*q^3/r2,1/2*q^3/r2,-q^2/2*(q^2-1),-q^2/2*(q^2-1),-q^2/2*(q^2-1),q^2/2, q^2/2,q^2/2,q^2/2,q^2/2,-q^2/2*(q^2-1),-q^2/2*(q^2-1),-q^2/2*(q^2-1),q^2/2,q^2/2,q^2/2,q^2/2, q^2/2,q^2/2,-q^2/2,q^2/2,-q^2/2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], #17 [[`B_chi17`,`irreducible `], q^4/4*(q^2-1)^2,q^4/4*(q^2-1)^2,q^4/4*(q^2-1)^2,q^4/4*(q^2-1)^2,q^4/4*(q^2-1)^2,q^4/4*(q^2-1)^2, q^4/4*(q^2-1)^2,q^4/4*(q^2-1)^2,q^4/4*(q^2-1)^2,q^4/4*(q^2-1)^2,-q^4/4*(q^2-1),-q^4/4*(q^2-1),-q^4/4*(q^2-1), -q^4/4*(q^2-1),-q^4/4*(q^2-1),-q^4/4*(q^2-1),q^4/4,q^4/4,-q^4/4*(q^2-1),-q^4/4*(q^2-1),-q^4/4*(q^2-1), -q^4/4*(q^2-1),q^4/4,q^4/4,-1/2*q^3/r2*(q^2-1),-1/2*q^3/r2*(q^2-1),1/2*q^3/r2,1/2*q^3/r2,1/2*q^3/r2, 1/2*q^3/r2,1/2*q^3/r2,1/2*q^3/r2,1/2*q^3/r2,-1/2*q^3/r2*(q^2-1),-1/2*q^3/r2*(q^2-1),1/2*q^3/r2,1/2*q^3/r2, 1/2*q^3/r2,1/2*q^3/r2,-q^4/4*(q^2-1),-q^4/4*(q^2-1),-q^4/4*(q^2-1),-q^4/4*(q^2-1),q^4/4,q^4/4,q^4/4,q^4/4, q^4/4,q^4/4,q^4/4,q^4/4,-q^4/4,-q^4/4,1/2*q^3/r2,-1/2*q^3/r2,EW4*q^2/2*(q^2-1),EW4*q^2/2*(q^2-1), EW4*q^2/2*(q^2-1),-EW4*q^2/2,-EW4*q^2/2,-EW4*q^2/2,-EW4*q^2/2,-EW4*q^2/2,-EW4*q^2/2*(q^2-1), -EW4*q^2/2*(q^2-1),-EW4*q^2/2*(q^2-1),EW4*q^2/2,EW4*q^2/2,EW4*q^2/2,EW4*q^2/2,EW4*q^2/2,-EW4*q^2/2, EW4*q^2/2,EW4*q^2/2,-EW4*q^2/2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], #18 [[`B_chi18`,`irreducible `], q^4/4*(q^2-1)^2,q^4/4*(q^2-1)^2,q^4/4*(q^2-1)^2,q^4/4*(q^2-1)^2,q^4/4*(q^2-1)^2,q^4/4*(q^2-1)^2, q^4/4*(q^2-1)^2,q^4/4*(q^2-1)^2,q^4/4*(q^2-1)^2,q^4/4*(q^2-1)^2,-q^4/4*(q^2-1),-q^4/4*(q^2-1), -q^4/4*(q^2-1),-q^4/4*(q^2-1),-q^4/4*(q^2-1),-q^4/4*(q^2-1),q^4/4,q^4/4,-q^4/4*(q^2-1),-q^4/4*(q^2-1), -q^4/4*(q^2-1),-q^4/4*(q^2-1),q^4/4,q^4/4,-1/2*q^3/r2*(q^2-1),-1/2*q^3/r2*(q^2-1),1/2*q^3/r2, 1/2*q^3/r2,1/2*q^3/r2,1/2*q^3/r2,1/2*q^3/r2,1/2*q^3/r2,1/2*q^3/r2,-1/2*q^3/r2*(q^2-1), -1/2*q^3/r2*(q^2-1),1/2*q^3/r2,1/2*q^3/r2,1/2*q^3/r2,1/2*q^3/r2,-q^4/4*(q^2-1),-q^4/4*(q^2-1), -q^4/4*(q^2-1),-q^4/4*(q^2-1),q^4/4,q^4/4,q^4/4,q^4/4,q^4/4,q^4/4,q^4/4,q^4/4,-q^4/4, -q^4/4,1/2*q^3/r2,-1/2*q^3/r2,-EW4*q^2/2*(q^2-1),-EW4*q^2/2*(q^2-1),-EW4*q^2/2*(q^2-1),EW4*q^2/2, EW4*q^2/2,EW4*q^2/2,EW4*q^2/2,EW4*q^2/2,EW4*q^2/2*(q^2-1),EW4*q^2/2*(q^2-1),EW4*q^2/2*(q^2-1), -EW4*q^2/2,-EW4*q^2/2,-EW4*q^2/2,-EW4*q^2/2,-EW4*q^2/2,EW4*q^2/2,-EW4*q^2/2,-EW4*q^2/2,EW4*q^2/2, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], #19 [[`B_chi19`,`irreducible `], q^4/4*(q^2-1)^2,q^4/4*(q^2-1)^2,q^4/4*(q^2-1)^2,q^4/4*(q^2-1)^2,q^4/4*(q^2-1)^2,q^4/4*(q^2-1)^2, q^4/4*(q^2-1)^2,q^4/4*(q^2-1)^2,q^4/4*(q^2-1)^2,q^4/4*(q^2-1)^2,-q^4/4*(q^2-1),-q^4/4*(q^2-1), -q^4/4*(q^2-1),-q^4/4*(q^2-1),-q^4/4*(q^2-1),-q^4/4*(q^2-1),q^4/4,q^4/4,-q^4/4*(q^2-1),-q^4/4*(q^2-1), -q^4/4*(q^2-1),-q^4/4*(q^2-1),q^4/4,q^4/4,r2*q^3/4*(q^2-1),r2*q^3/4*(q^2-1),-r2*q^3/4,-r2*q^3/4, -r2*q^3/4,-r2*q^3/4,-r2*q^3/4,-r2*q^3/4,-r2*q^3/4,r2*q^3/4*(q^2-1),r2*q^3/4*(q^2-1),-r2*q^3/4, -r2*q^3/4,-r2*q^3/4,-r2*q^3/4,q^4/4*(q^2-1),q^4/4*(q^2-1),q^4/4*(q^2-1),q^4/4*(q^2-1), -q^4/4,-q^4/4,-q^4/4,-q^4/4,-q^4/4,-q^4/4,-q^4/4,-q^4/4,q^4/4,q^4/4,1/2*q^3/r2,-1/2*q^3/r2, q^2/2*(q^2-1),q^2/2*(q^2-1),q^2/2*(q^2-1),-q^2/2,-q^2/2,-q^2/2,-q^2/2,-q^2/2,q^2/2*(q^2-1), q^2/2*(q^2-1),q^2/2*(q^2-1),-q^2/2,-q^2/2,-q^2/2,-q^2/2,-q^2/2,q^2/2,-q^2/2,q^2/2,-q^2/2, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], #20 [[`B_chi20`,`irreducible `], q^4/4*(q^2-1)^2,q^4/4*(q^2-1)^2,q^4/4*(q^2-1)^2,q^4/4*(q^2-1)^2,q^4/4*(q^2-1)^2,q^4/4*(q^2-1)^2, q^4/4*(q^2-1)^2,q^4/4*(q^2-1)^2,q^4/4*(q^2-1)^2,q^4/4*(q^2-1)^2,-q^4/4*(q^2-1),-q^4/4*(q^2-1), -q^4/4*(q^2-1),-q^4/4*(q^2-1),-q^4/4*(q^2-1),-q^4/4*(q^2-1),q^4/4,q^4/4,-q^4/4*(q^2-1), -q^4/4*(q^2-1),-q^4/4*(q^2-1),-q^4/4*(q^2-1),q^4/4,q^4/4,r2*q^3/4*(q^2-1),r2*q^3/4*(q^2-1), -r2*q^3/4,-r2*q^3/4,-r2*q^3/4,-r2*q^3/4,-r2*q^3/4,-r2*q^3/4,-r2*q^3/4,r2*q^3/4*(q^2-1), r2*q^3/4*(q^2-1),-r2*q^3/4,-r2*q^3/4,-r2*q^3/4,-r2*q^3/4,q^4/4*(q^2-1),q^4/4*(q^2-1), q^4/4*(q^2-1),q^4/4*(q^2-1),-q^4/4,-q^4/4,-q^4/4,-q^4/4,-q^4/4,-q^4/4,-q^4/4, -q^4/4,q^4/4,q^4/4,1/2*q^3/r2,-1/2*q^3/r2,-q^2/2*(q^2-1),-q^2/2*(q^2-1),-q^2/2*(q^2-1), q^2/2,q^2/2,q^2/2,q^2/2,q^2/2,-q^2/2*(q^2-1),-q^2/2*(q^2-1),-q^2/2*(q^2-1),q^2/2, q^2/2,q^2/2,q^2/2,q^2/2,-q^2/2,q^2/2,-q^2/2,q^2/2,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0], #21 [[`B_chi21`,`irreducible `], q^4/4*(q^2-1)^2,q^4/4*(q^2-1)^2,q^4/4*(q^2-1)^2,q^4/4*(q^2-1)^2,q^4/4*(q^2-1)^2,q^4/4*(q^2-1)^2, q^4/4*(q^2-1)^2,q^4/4*(q^2-1)^2,q^4/4*(q^2-1)^2,q^4/4*(q^2-1)^2,-q^4/4*(q^2-1),-q^4/4*(q^2-1),-q^4/4*(q^2-1), -q^4/4*(q^2-1),-q^4/4*(q^2-1),-q^4/4*(q^2-1),q^4/4,q^4/4,-q^4/4*(q^2-1),-q^4/4*(q^2-1),-q^4/4*(q^2-1), -q^4/4*(q^2-1),q^4/4,q^4/4,r2*q^3/4*(q^2-1),r2*q^3/4*(q^2-1),-r2*q^3/4,-r2*q^3/4,-r2*q^3/4,-r2*q^3/4, -r2*q^3/4,-r2*q^3/4,-r2*q^3/4,r2*q^3/4*(q^2-1),r2*q^3/4*(q^2-1),-r2*q^3/4,-r2*q^3/4,-r2*q^3/4,-r2*q^3/4, -q^4/4*(q^2-1),-q^4/4*(q^2-1),-q^4/4*(q^2-1),-q^4/4*(q^2-1),q^4/4,q^4/4,q^4/4,q^4/4,q^4/4, q^4/4,q^4/4,q^4/4,-q^4/4,-q^4/4,-1/2*q^3/r2,1/2*q^3/r2,EW4*q^2/2*(q^2-1),EW4*q^2/2*(q^2-1), EW4*q^2/2*(q^2-1),-EW4*q^2/2,-EW4*q^2/2,-EW4*q^2/2,-EW4*q^2/2,-EW4*q^2/2,-EW4*q^2/2*(q^2-1), -EW4*q^2/2*(q^2-1),-EW4*q^2/2*(q^2-1),EW4*q^2/2,EW4*q^2/2,EW4*q^2/2,EW4*q^2/2,EW4*q^2/2,EW4*q^2/2,-EW4*q^2/2, -EW4*q^2/2,EW4*q^2/2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], #22 [[`B_chi22`,`irreducible `], q^4/4*(q^2-1)^2,q^4/4*(q^2-1)^2,q^4/4*(q^2-1)^2,q^4/4*(q^2-1)^2,q^4/4*(q^2-1)^2,q^4/4*(q^2-1)^2, q^4/4*(q^2-1)^2,q^4/4*(q^2-1)^2,q^4/4*(q^2-1)^2,q^4/4*(q^2-1)^2,-q^4/4*(q^2-1),-q^4/4*(q^2-1), -q^4/4*(q^2-1),-q^4/4*(q^2-1),-q^4/4*(q^2-1),-q^4/4*(q^2-1),q^4/4,q^4/4,-q^4/4*(q^2-1),-q^4/4*(q^2-1), -q^4/4*(q^2-1),-q^4/4*(q^2-1),q^4/4,q^4/4,r2*q^3/4*(q^2-1),r2*q^3/4*(q^2-1),-r2*q^3/4,-r2*q^3/4, -r2*q^3/4,-r2*q^3/4,-r2*q^3/4,-r2*q^3/4,-r2*q^3/4,r2*q^3/4*(q^2-1),r2*q^3/4*(q^2-1),-r2*q^3/4, -r2*q^3/4,-r2*q^3/4,-r2*q^3/4,-q^4/4*(q^2-1),-q^4/4*(q^2-1),-q^4/4*(q^2-1),-q^4/4*(q^2-1),q^4/4, q^4/4,q^4/4,q^4/4,q^4/4,q^4/4,q^4/4,q^4/4,-q^4/4,-q^4/4,-1/2*q^3/r2,1/2*q^3/r2, -EW4*q^2/2*(q^2-1),-EW4*q^2/2*(q^2-1),-EW4*q^2/2*(q^2-1),EW4*q^2/2,EW4*q^2/2,EW4*q^2/2, EW4*q^2/2,EW4*q^2/2,EW4*q^2/2*(q^2-1),EW4*q^2/2*(q^2-1),EW4*q^2/2*(q^2-1),-EW4*q^2/2,-EW4*q^2/2, -EW4*q^2/2,-EW4*q^2/2,-EW4*q^2/2,-EW4*q^2/2,EW4*q^2/2,EW4*q^2/2,-EW4*q^2/2,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], #23 [[`B_chi23`,`irreducible `], q^4*(q^2-1),q^4*(q^2-1),q^4*(q^2-1),q^4*(q^2-1),q^4*(q^2-1),q^4*(q^2-1),q^4*(q^2-1), q^4*(q^2-1),-q^4,-q^4,0,0,0,q^4*(q^2-1),q^4*(q^2-1),-q^4,0,0,0,0,0,0,0,0,-q^2*(q^2-1), -q^2*(q^2-1),q^2,q^2,q^2,q^2,q^2,q^2,-q^2*(q^2-1),q^2,q^2,q^2,q^2,q^2,q^2,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,(q^2-1)*GEWZ2^(iI*kK),-GEWZ2^(iI*kK),0,0,0,0,0], #24 [[`B_chi24`,`irreducible `], q^4*(q^2-1)^2,q^4*(q^2-1)^2,q^4*(q^2-1)^2,q^4*(q^2-1)^2,q^4*(q^2-1)^2,q^4*(q^2-1)^2,q^4*(q^2-1)^2, q^4*(q^2-1)^2,-q^4*(q^2-1),-q^4*(q^2-1),0,0,0,q^4*(q^2-1)^2,q^4*(q^2-1)^2,-q^4*(q^2-1),0, 0,0,0,0,0,0,0,q^2*(q^2-1),q^2*(q^2-1),-q^2,-q^2,-q^2,-q^2,-q^2,-q^2,q^2*(q^2-1), -q^2,-q^2,-q^2,-q^2,-q^2,-q^2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0], #25 [[`B_chi25`,`sum of q^2 irreducibles `], q^6*(q^2-1)^2,q^6*(q^2-1)^2,q^6*(q^2-1)^2,q^6*(q^2-1)^2,q^6*(q^2-1)^2,q^6*(q^2-1)^2,q^6*(q^2-1)^2, q^6*(q^2-1)^2,-q^6*(q^2-1),-q^6*(q^2-1),0,0,0,-q^6*(q^2-1),-q^6*(q^2-1),q^6,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], #26 [[`B_chi26`,`irreducible `], q^3/r2*(q^2-1),q^3/r2*(q^2-1),q^3/r2*(q^2-1),q^3/r2*(q^2-1),q^3/r2*(q^2-1),q^3/r2*(q^2-1),-q^3/r2, -q^3/r2,q^3/r2*(q^2-1),-q^3/r2,0,0,0,0,0,0,q^3/r2,-q^3/r2,EW4*q^3/r2,EW4*q^3/r2,-EW4*q^3/r2, -EW4*q^3/r2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,q^3/r2,q^3/r2,q^3/r2, q^3/r2,r2*q^3,0,-q^3/r2,0,EW4*q^2,-EW4*q^2,0,0,q/r2*(q^2-1)+EW4*q/r2*(q^2-1), q/r2*(q^2-1)+EW4*q/r2*(q^2-1),-q/r2-EW4*q/r2,q/r2*(q^2-1)-EW4*q/r2,q/r2*(q^2-1)-EW4*q/r2, -q/r2-EW4*q/r2,-q/r2+EW4*(q^2-q/r2),-q/r2+EW4*(-q^2-q/r2),q/r2*(q^2-1)-EW4*q/r2*(q^2-1), q/r2*(q^2-1)-EW4*q/r2*(q^2-1),-q/r2+EW4*q/r2,-q/r2+EW4*q/r2,-q/r2+EW4*(q^2+q/r2),-q/r2+EW4*(-q^2+q/r2), q/r2*(q^2-1)+EW4*q/r2,q/r2*(q^2-1)+EW4*q/r2,0,0,0,0,0,0,0,0,0,0,q/r2*(q^2-1)*GEWZ2^(iI*kK), -q/r2*GEWZ2^(iI*kK),EW4*q/r2*GEWZ2^(iI*kK),-EW4*q/r2*GEWZ2^(iI*kK),0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0], #27 [[`B_chi27`,`irreducible `], q^3/r2*(q^2-1),q^3/r2*(q^2-1),q^3/r2*(q^2-1),q^3/r2*(q^2-1),q^3/r2*(q^2-1),q^3/r2*(q^2-1), -q^3/r2,-q^3/r2,q^3/r2*(q^2-1),-q^3/r2,0,0,0,0,0,0,q^3/r2,-q^3/r2,-EW4*q^3/r2, -EW4*q^3/r2,EW4*q^3/r2,EW4*q^3/r2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,q^3/r2, q^3/r2,q^3/r2,q^3/r2,r2*q^3,0,-q^3/r2,0,-EW4*q^2,EW4*q^2,0,0,q/r2*(q^2-1)-EW4*q/r2*(q^2-1), q/r2*(q^2-1)-EW4*q/r2*(q^2-1),-q/r2+EW4*q/r2,q/r2*(q^2-1)+EW4*q/r2,q/r2*(q^2-1)+EW4*q/r2, -q/r2+EW4*q/r2,-q/r2-EW4*(q^2-q/r2),-q/r2-EW4*(-q^2-q/r2),q/r2*(q^2-1)+EW4*q/r2*(q^2-1), q/r2*(q^2-1)+EW4*q/r2*(q^2-1),-q/r2-EW4*q/r2,-q/r2-EW4*q/r2,-q/r2-EW4*(q^2+q/r2), -q/r2-EW4*(-q^2+q/r2),q/r2*(q^2-1)-EW4*q/r2,q/r2*(q^2-1)-EW4*q/r2,0,0,0,0,0,0,0,0,0,0, q/r2*(q^2-1)*GEWZ2^(iI*kK),-q/r2*GEWZ2^(iI*kK),-EW4*q/r2*GEWZ2^(iI*kK),EW4*q/r2*GEWZ2^(iI*kK), 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], #28 [[`B_chi28`,`irreducible `], 1/2*(q^2-1)^2*q^3*r2,1/2*(q^2-1)^2*q^3*r2,1/2*(q^2-1)^2*q^3*r2,1/2*(q^2-1)^2*q^3*r2, 1/2*(q^2-1)^2*q^3*r2,1/2*(q^2-1)^2*q^3*r2,-1/2*(q^2-1)*q^3*r2,-1/2*(q^2-1)*q^3*r2, 1/2*(q^2-1)^2*q^3*r2,-1/2*(q^2-1)*q^3*r2,0,0,0,0,0,0,1/2*(q^2-1)*q^3*r2,-1/2*(q^2-1)*q^3*r2, 1/2*(q^2-1)*q^3*r2*EW4,1/2*(q^2-1)*q^3*r2*EW4,-1/2*(q^2-1)*q^3*r2*EW4,-1/2*(q^2-1)*q^3*r2*EW4, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1/2*(q^2-1)*q^3*r2, 1/2*(q^2-1)*q^3*r2,1/2*(q^2-1)*q^3*r2,1/2*(q^2-1)*q^3*r2,(q^2-1)*q^3*r2,0, -1/2*(q^2-1)*q^3*r2,0,EW4*q^2*(q^2-1),-EW4*q^2*(q^2-1),0,0, -1/2*q^3*r2*EW4+1/2*r2*q*EW4-1/2*q^3*r2+1/2*q*r2,-1/2*q^3*r2*EW4+1/2*r2*q*EW4-1/2*q^3*r2+1/2*q*r2, 1/2*r2*q*EW4+1/2*q*r2,1/2*r2*q*EW4-1/2*q^3*r2+1/2*q*r2,1/2*r2*q*EW4-1/2*q^3*r2+1/2*q*r2, 1/2*r2*q*EW4+1/2*q*r2,-q^2*EW4+1/2*r2*q*EW4+1/2*q*r2,q^2*EW4+1/2*r2*q*EW4+1/2*q*r2, 1/2*q^3*r2*EW4-1/2*r2*q*EW4-1/2*q^3*r2+1/2*q*r2,1/2*q^3*r2*EW4-1/2*r2*q*EW4-1/2*q^3*r2+1/2*q*r2, -1/2*r2*q*EW4+1/2*q*r2,-1/2*r2*q*EW4+1/2*q*r2,-q^2*EW4-1/2*r2*q*EW4+1/2*q*r2, q^2*EW4-1/2*r2*q*EW4+1/2*q*r2,-1/2*r2*q*EW4-1/2*q^3*r2+1/2*q*r2,-1/2*r2*q*EW4-1/2*q^3*r2+1/2*q*r2, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], #29 [[`B_chi29`,`irreducible `], 1/2*(q^2-1)^2*q^3*r2,1/2*(q^2-1)^2*q^3*r2,1/2*(q^2-1)^2*q^3*r2,1/2*(q^2-1)^2*q^3*r2, 1/2*(q^2-1)^2*q^3*r2,1/2*(q^2-1)^2*q^3*r2,-1/2*(q^2-1)*q^3*r2,-1/2*(q^2-1)*q^3*r2, 1/2*(q^2-1)^2*q^3*r2,-1/2*(q^2-1)*q^3*r2,0,0,0,0,0,0,1/2*(q^2-1)*q^3*r2, -1/2*(q^2-1)*q^3*r2,-1/2*(q^2-1)*q^3*r2*EW4,-1/2*(q^2-1)*q^3*r2*EW4,1/2*(q^2-1)*q^3*r2*EW4, 1/2*(q^2-1)*q^3*r2*EW4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 1/2*(q^2-1)*q^3*r2,1/2*(q^2-1)*q^3*r2,1/2*(q^2-1)*q^3*r2,1/2*(q^2-1)*q^3*r2, (q^2-1)*q^3*r2,0,-1/2*(q^2-1)*q^3*r2,0,-EW4*q^2*(q^2-1),EW4*q^2*(q^2-1),0,0, 1/2*q^3*r2*EW4-1/2*r2*q*EW4-1/2*q^3*r2+1/2*q*r2,1/2*q^3*r2*EW4-1/2*r2*q*EW4-1/2*q^3*r2+1/2*q*r2, -1/2*r2*q*EW4+1/2*q*r2,-1/2*r2*q*EW4-1/2*q^3*r2+1/2*q*r2,-1/2*r2*q*EW4-1/2*q^3*r2+1/2*q*r2, -1/2*r2*q*EW4+1/2*q*r2,q^2*EW4-1/2*r2*q*EW4+1/2*q*r2,-q^2*EW4-1/2*r2*q*EW4+1/2*q*r2, -1/2*q^3*r2*EW4+1/2*r2*q*EW4-1/2*q^3*r2+1/2*q*r2,-1/2*q^3*r2*EW4+1/2*r2*q*EW4-1/2*q^3*r2+1/2*q*r2, 1/2*r2*q*EW4+1/2*q*r2,1/2*r2*q*EW4+1/2*q*r2,q^2*EW4+1/2*r2*q*EW4+1/2*q*r2, -q^2*EW4+1/2*r2*q*EW4+1/2*q*r2,1/2*r2*q*EW4-1/2*q^3*r2+1/2*q*r2,1/2*r2*q*EW4-1/2*q^3*r2+1/2*q*r2, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], #30 [[`B_chi30`,`irreducible `], 1/2*q^4*(q^2-1)^2,1/2*q^4*(q^2-1)^2,1/2*q^4*(q^2-1)^2,1/2*q^4*(q^2-1)^2,1/2*q^4*(q^2-1)^2, 1/2*q^4*(q^2-1)^2,-1/2*(q^2-1)*q^4,-1/2*(q^2-1)*q^4,1/2*q^4*(q^2-1)^2,-1/2*(q^2-1)*q^4, 0,0,0,0,0,0,1/2*(q^2-1)*q^4,-1/2*(q^2-1)*q^4,1/2*(q^2-1)*q^4*EW4, 1/2*(q^2-1)*q^4*EW4,-1/2*(q^2-1)*q^4*EW4,-1/2*(q^2-1)*q^4*EW4,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,-1/2*q^4,-1/2*q^4,-1/2*q^4,-1/2*q^4,-q^4,0,1/2*q^4,0,-1/2*EW4*q^3*r2, 1/2*EW4*q^3*r2,0,0,-1/2*q^2*EW4-1/2*q^4+1/2*q^2+1/2*EW4*q^4, -1/2*q^2*EW4-1/2*q^4+1/2*q^2+1/2*EW4*q^4,-1/2*q^2*EW4+1/2*q^2, 1/2*EW4*q^4-1/2*q^2*EW4+1/2*q^2,1/2*EW4*q^4-1/2*q^2*EW4+1/2*q^2,-1/2*q^2*EW4+1/2*q^2, -1/2*q^2*EW4-1/2*q^3*r2+1/2*q^2,-1/2*q^2*EW4+1/2*q^3*r2+1/2*q^2, -1/2*EW4*q^4-1/2*q^4+1/2*q^2*EW4+1/2*q^2,-1/2*EW4*q^4-1/2*q^4+1/2*q^2*EW4+1/2*q^2, 1/2*q^2*EW4+1/2*q^2,1/2*q^2*EW4+1/2*q^2,1/2*q^2*EW4+1/2*q^3*r2+1/2*q^2, 1/2*q^2*EW4-1/2*q^3*r2+1/2*q^2,-1/2*EW4*q^4+1/2*q^2*EW4+1/2*q^2,-1/2*EW4*q^4+1/2*q^2*EW4+1/2*q^2, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], #31 [[`B_chi31`,`irreducible `], 1/2*q^4*(q^2-1)^2,1/2*q^4*(q^2-1)^2,1/2*q^4*(q^2-1)^2,1/2*q^4*(q^2-1)^2,1/2*q^4*(q^2-1)^2, 1/2*q^4*(q^2-1)^2,-1/2*(q^2-1)*q^4,-1/2*(q^2-1)*q^4,1/2*q^4*(q^2-1)^2,-1/2*(q^2-1)*q^4,0, 0,0,0,0,0,1/2*(q^2-1)*q^4,-1/2*(q^2-1)*q^4,1/2*(q^2-1)*q^4*EW4,1/2*(q^2-1)*q^4*EW4, -1/2*(q^2-1)*q^4*EW4,-1/2*(q^2-1)*q^4*EW4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, -1/2*q^4,-1/2*q^4,-1/2*q^4,-1/2*q^4,-q^4,0,1/2*q^4,0,-1/2*EW4*q^3*r2,1/2*EW4*q^3*r2, 0,0,1/2*q^2*EW4-1/2*q^2+1/2*q^4-1/2*EW4*q^4,1/2*q^2*EW4-1/2*q^2+1/2*q^4-1/2*EW4*q^4, 1/2*q^2*EW4-1/2*q^2,-1/2*EW4*q^4+1/2*q^2*EW4-1/2*q^2,-1/2*EW4*q^4+1/2*q^2*EW4-1/2*q^2, 1/2*q^2*EW4-1/2*q^2,1/2*q^2*EW4+1/2*q^3*r2-1/2*q^2,1/2*q^2*EW4-1/2*q^3*r2-1/2*q^2, -1/2*q^2*EW4-1/2*q^2+1/2*q^4+1/2*EW4*q^4,-1/2*q^2*EW4-1/2*q^2+1/2*q^4+1/2*EW4*q^4, -1/2*q^2*EW4-1/2*q^2,-1/2*q^2*EW4-1/2*q^2,-1/2*q^2*EW4-1/2*q^3*r2-1/2*q^2, -1/2*q^2*EW4+1/2*q^3*r2-1/2*q^2,1/2*EW4*q^4-1/2*q^2*EW4-1/2*q^2,1/2*EW4*q^4-1/2*q^2*EW4-1/2*q^2, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], #32 [[`B_chi32`,`irreducible `], 1/2*q^4*(q^2-1)^2,1/2*q^4*(q^2-1)^2,1/2*q^4*(q^2-1)^2,1/2*q^4*(q^2-1)^2,1/2*q^4*(q^2-1)^2, 1/2*q^4*(q^2-1)^2,-1/2*(q^2-1)*q^4,-1/2*(q^2-1)*q^4,1/2*q^4*(q^2-1)^2,-1/2*(q^2-1)*q^4, 0,0,0,0,0,0,1/2*(q^2-1)*q^4,-1/2*(q^2-1)*q^4,-1/2*(q^2-1)*q^4*EW4,-1/2*(q^2-1)*q^4*EW4, 1/2*(q^2-1)*q^4*EW4,1/2*(q^2-1)*q^4*EW4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, -1/2*q^4,-1/2*q^4,-1/2*q^4,-1/2*q^4,-q^4,0,1/2*q^4,0,1/2*EW4*q^3*r2,-1/2*EW4*q^3*r2,0,0, -1/2*q^2*EW4-1/2*q^2+1/2*q^4+1/2*EW4*q^4,-1/2*q^2*EW4-1/2*q^2+1/2*q^4+1/2*EW4*q^4, -1/2*q^2*EW4-1/2*q^2,1/2*EW4*q^4-1/2*q^2*EW4-1/2*q^2,1/2*EW4*q^4-1/2*q^2*EW4-1/2*q^2, -1/2*q^2*EW4-1/2*q^2,-1/2*q^2*EW4+1/2*q^3*r2-1/2*q^2,-1/2*q^2*EW4-1/2*q^3*r2-1/2*q^2, 1/2*q^2*EW4-1/2*q^2+1/2*q^4-1/2*EW4*q^4,1/2*q^2*EW4-1/2*q^2+1/2*q^4-1/2*EW4*q^4,1/2*q^2*EW4-1/2*q^2, 1/2*q^2*EW4-1/2*q^2,1/2*q^2*EW4-1/2*q^3*r2-1/2*q^2,1/2*q^2*EW4+1/2*q^3*r2-1/2*q^2, -1/2*EW4*q^4+1/2*q^2*EW4-1/2*q^2,-1/2*EW4*q^4+1/2*q^2*EW4-1/2*q^2,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], #33 [[`B_chi33`,`irreducible `], 1/2*q^4*(q^2-1)^2,1/2*q^4*(q^2-1)^2,1/2*q^4*(q^2-1)^2,1/2*q^4*(q^2-1)^2,1/2*q^4*(q^2-1)^2, 1/2*q^4*(q^2-1)^2,-1/2*(q^2-1)*q^4,-1/2*(q^2-1)*q^4,1/2*q^4*(q^2-1)^2,-1/2*(q^2-1)*q^4, 0,0,0,0,0,0,1/2*(q^2-1)*q^4,-1/2*(q^2-1)*q^4,-1/2*(q^2-1)*q^4*EW4,-1/2*(q^2-1)*q^4*EW4, 1/2*(q^2-1)*q^4*EW4,1/2*(q^2-1)*q^4*EW4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, -1/2*q^4,-1/2*q^4,-1/2*q^4,-1/2*q^4,-q^4,0,1/2*q^4,0,1/2*EW4*q^3*r2,-1/2*EW4*q^3*r2,0,0, -1/2*EW4*q^4-1/2*q^4+1/2*q^2*EW4+1/2*q^2,-1/2*EW4*q^4-1/2*q^4+1/2*q^2*EW4+1/2*q^2, 1/2*q^2*EW4+1/2*q^2,-1/2*EW4*q^4+1/2*q^2*EW4+1/2*q^2,-1/2*EW4*q^4+1/2*q^2*EW4+1/2*q^2, 1/2*q^2*EW4+1/2*q^2,1/2*q^2*EW4-1/2*q^3*r2+1/2*q^2,1/2*q^2*EW4+1/2*q^3*r2+1/2*q^2, -1/2*q^2*EW4-1/2*q^4+1/2*q^2+1/2*EW4*q^4,-1/2*q^2*EW4-1/2*q^4+1/2*q^2+1/2*EW4*q^4,-1/2*q^2*EW4+1/2*q^2, -1/2*q^2*EW4+1/2*q^2,-1/2*q^2*EW4+1/2*q^3*r2+1/2*q^2,-1/2*q^2*EW4-1/2*q^3*r2+1/2*q^2, 1/2*EW4*q^4-1/2*q^2*EW4+1/2*q^2,1/2*EW4*q^4-1/2*q^2*EW4+1/2*q^2,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], #34 [[`B_chi34`,`irreducible `], q^4*(q^2-1)^2,q^4*(q^2-1)^2,q^4*(q^2-1)^2,q^4*(q^2-1)^2,q^4*(q^2-1)^2,q^4*(q^2-1)^2,-q^4*(q^2-1), -q^4*(q^2-1),q^4*(q^2-1)^2,-q^4*(q^2-1),0,0,0,0,0,0,-q^4,q^4,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,q^4*(q^2-1),q^4*(q^2-1),q^4*(q^2-1),-q^4,q^4*(q^2-2),q^4*(q^2-2),q^4*(q^2-2), q^4*(q^2-2),-3*q^4,-q^4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], #35 [[`B_chi35`,`sum of (2*q^2-4)/3 irreducibles `], q^4/3*(q^2-1)^2*(q^2-2),q^4/3*(q^2-1)^2*(q^2-2),q^4/3*(q^2-1)^2*(q^2-2),q^4/3*(q^2-1)^2*(q^2-2), q^4/3*(q^2-1)^2*(q^2-2),q^4/3*(q^2-1)^2*(q^2-2),-q^4/3*(q^2-1)*(q^2-2),-q^4/3*(q^2-1)*(q^2-2), q^4/3*(q^2-1)^2*(q^2-2),-q^4/3*(q^2-1)*(q^2-2),0,0,0,0,0,0,-q^4/3*(q^2-2),q^4/3*(q^2-2),0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2/3*q^4*(q^2-1)*(q^2-2),2/3*q^4*(q^2-1)*(q^2-2), 2/3*q^4*(q^2-1)*(q^2-2),-2/3*q^4*(q^2-2),-q^4*(q^2-2),-q^4*(q^2-2),-q^4*(q^2-2),-q^4*(q^2-2), -q^4/3*(q^2-8),q^4/3*(q^2+4),-q^4/3*(q^2-2),0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], #36 [[`B_chi36`,`sum of 2*q^2-4 irreducibles `], q^4*(q^2-1)^2*(q^2-2),q^4*(q^2-1)^2*(q^2-2),q^4*(q^2-1)^2*(q^2-2),q^4*(q^2-1)^2*(q^2-2), q^4*(q^2-1)^2*(q^2-2),q^4*(q^2-1)^2*(q^2-2),-q^4*(q^2-1)*(q^2-2),-q^4*(q^2-1)*(q^2-2), q^4*(q^2-1)^2*(q^2-2),-q^4*(q^2-1)*(q^2-2),0,0,0,0,0,0,-q^4*(q^2-2),q^4*(q^2-2),0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-q^4*(q^2-2),-q^4*(q^2-2), -q^4*(q^2-2),-q^4*(q^2-2),q^4*(q^2+4),-q^6,q^4*(q^2-2),0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], #37 [[`B_chi37`,`sum of (q^2+1)/3 irreducibles `], q^4*(q^4-1)*(q^2-1)/3,q^4*(q^4-1)*(q^2-1)/3,q^4*(q^4-1)*(q^2-1)/3,q^4*(q^4-1)*(q^2-1)/3, q^4*(q^4-1)*(q^2-1)/3,q^4*(q^4-1)*(q^2-1)/3,-q^4*(q^4-1)/3,-q^4*(q^4-1)/3,q^4*(q^4-1)*(q^2-1)/3, -q^4*(q^4-1)/3,0,0,0,0,0,0,-q^4*(q^2+1)/3,q^4*(q^2+1)/3,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,-q^4*(q^4-1)/3,-q^4*(q^4-1)/3,-q^4*(q^4-1)/3,q^4*(q^2+1)/3, 0,0,0,0,-q^4*(q^2+1)/3,q^4*(q^2+1)/3,-q^4*(q^2-2)/3,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0], #38 [[`B_chi38`,`irreducible `], q^6*(q^2-1)^2,q^6*(q^2-1)^2,q^6*(q^2-1)^2,q^6*(q^2-1)^2,q^6*(q^2-1)^2,q^6*(q^2-1)^2, -q^6*(q^2-1),-q^6*(q^2-1),-q^6*(q^2-1),q^6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], #39 [[`B_chi39`,`irreducible `], q^6*(q^2-1),q^6*(q^2-1),q^6*(q^2-1),q^6*(q^2-1),q^6*(q^2-1),-q^6,0,0,0,0,q^4*(q^2-1),q^4*(q^2-1), -q^4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,q^4*(q^2-1), q^4*(q^2-1),-q^4,0,q^4*(q^2-1),q^4*(q^2-1),-q^4,-q^4,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, (q^2-1)*GEWZ2^(iI*kK),-GEWZ2^(iI*kK),0,0,0], #40 [[`B_chi40`,`irreducible `], q^6*(q^2-1)^2,q^6*(q^2-1)^2,q^6*(q^2-1)^2,q^6*(q^2-1)^2,q^6*(q^2-1)^2,-q^6*(q^2-1),0, 0,0,0,q^4*(q^2-1)^2,q^4*(q^2-1)^2,-q^4*(q^2-1),0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,-q^4*(q^2-1),-q^4*(q^2-1),q^4,0,-q^4*(q^2-1),-q^4*(q^2-1), q^4,q^4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], #41 [[`B_chi41`,`sum of q^2 irreducibles `], q^8*(q^2-1)^2,q^8*(q^2-1)^2,q^8*(q^2-1)^2,q^8*(q^2-1)^2,q^8*(q^2-1)^2,-q^8*(q^2-1),0,0, 0,0,-q^6*(q^2-1),-q^6*(q^2-1),q^6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0], #42 [[`B_chi42`,`irreducible `], q^8*(q^2-1),q^8*(q^2-1),q^8*(q^2-1),q^8*(q^2-1),-q^8,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,-q^4,-q^4,q^4,q^4,q^4,-q^4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,(q^2-1)*GEWZ2^(iI*kK),-GEWZ2^(iI*kK),0], #43 [[`B_chi43`,`irreducible `], q^8*(q^2-1)^2,q^8*(q^2-1)^2,q^8*(q^2-1)^2,q^8*(q^2-1)^2,-q^8*(q^2-1),0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,q^4,q^4,-q^4,-q^4,-q^4,q^4,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], #44 [[`B_chi44`,`irreducible `], q^7/r2*(q^2-1),q^7/r2*(q^2-1),q^7/r2*(q^2-1),-q^7/r2,0,0,-q^5/r2*(q^2-1),q^5/r2,0, 0,EW4*q^5/r2,-EW4*q^5/r2,0,0,0,0,0,0,EW4*q^3/r2*(q^2-1),-EW4*q^3/r2,-EW4*q^3/r2*(q^2-1), EW4*q^3/r2,q^3/r2,-q^3/r2,q^3/r2*(q^2-1),-q^3/r2,0,0,EW4*q^5/r2,-EW4*q^5/r2,0,0,0, -q^3/r2,q^3/r2,q^3/r2,-q^3/r2,q^3/r2,-q^3/r2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,q/r2*(q^2-1)*GEWZ2^(iI*kK),-q/r2*GEWZ2^(iI*kK),EW4*q/r2*GEWZ2^(iI*kK),-EW4*q/r2*GEWZ2^(iI*kK),0, 0,0,0,0,0,0], #45 [[`B_chi45`,`irreducible `], q^7/r2*(q^2-1),q^7/r2*(q^2-1),q^7/r2*(q^2-1),-q^7/r2,0,0,-q^5/r2*(q^2-1),q^5/r2,0,0,-EW4*q^5/r2, EW4*q^5/r2,0,0,0,0,0,0,-EW4*q^3/r2*(q^2-1),EW4*q^3/r2,EW4*q^3/r2*(q^2-1),-EW4*q^3/r2, q^3/r2,-q^3/r2,q^3/r2*(q^2-1),-q^3/r2,0,0,-EW4*q^5/r2,EW4*q^5/r2,0,0,0,-q^3/r2,q^3/r2, q^3/r2,-q^3/r2,q^3/r2,-q^3/r2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, q/r2*(q^2-1)*GEWZ2^(iI*kK),-q/r2*GEWZ2^(iI*kK),-EW4*q/r2*GEWZ2^(iI*kK),EW4*q/r2*GEWZ2^(iI*kK), 0,0,0,0,0,0,0], #46 [[`B_chi46`,`irreducible `], 1/2*(q^2-1)^2*q^7*r2,1/2*(q^2-1)^2*q^7*r2,1/2*(q^2-1)^2*q^7*r2, -1/2*q^7*r2*(q^2-1),0,0,-1/2*(q^2-1)^2*q^5*r2,1/2*q^5*r2*(q^2-1),0,0, 1/2*(q^2-1)*q^5*r2*EW4,-1/2*(q^2-1)*q^5*r2*EW4,0,0,0,0,0,0, 1/2*(q^2-1)^2*q^3*r2*EW4,-1/2*(q^2-1)*q^3*r2*EW4,-1/2*(q^2-1)^2*q^3*r2*EW4, 1/2*(q^2-1)*q^3*r2*EW4,1/2*q^3*r2*(q^2-1),-1/2*q^3*r2*(q^2-1), -1/2*q^3*r2*(q^2-1),1/2*q^3*r2,0,0,-1/2*EW4*q^5*r2,1/2*EW4*q^5*r2, 0,0,0,1/2*q^3*r2,-1/2*q^3*r2,-1/2*q^3*r2,1/2*q^3*r2,-1/2*q^3*r2, 1/2*q^3*r2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0], #47 [[`B_chi47`,`irreducible `], 1/2*(q^2-1)^2*q^7*r2,1/2*(q^2-1)^2*q^7*r2,1/2*(q^2-1)^2*q^7*r2, -1/2*q^7*r2*(q^2-1),0,0,-1/2*(q^2-1)^2*q^5*r2,1/2*q^5*r2*(q^2-1), 0,0,-1/2*(q^2-1)*q^5*r2*EW4,1/2*(q^2-1)*q^5*r2*EW4,0,0,0,0,0,0, -1/2*(q^2-1)^2*q^3*r2*EW4,1/2*(q^2-1)*q^3*r2*EW4,1/2*(q^2-1)^2*q^3*r2*EW4, -1/2*(q^2-1)*q^3*r2*EW4,1/2*q^3*r2*(q^2-1),-1/2*q^3*r2*(q^2-1), -1/2*q^3*r2*(q^2-1),1/2*q^3*r2,0,0,1/2*EW4*q^5*r2,-1/2*EW4*q^5*r2, 0,0,0,1/2*q^3*r2,-1/2*q^3*r2,-1/2*q^3*r2,1/2*q^3*r2, -1/2*q^3*r2,1/2*q^3*r2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0], #48 [[`B_chi48`,`sum of q^2 irreducibles `], 1/2*(q^2-1)^2*q^9*r2,1/2*(q^2-1)^2*q^9*r2,1/2*(q^2-1)^2*q^9*r2, -1/2*(q^2-1)*q^9*r2,0,0,-1/2*(q^2-1)^2*q^7*r2,1/2*(q^2-1)*q^7*r2, 0,0,1/2*(q^2-1)*q^7*r2*EW4,-1/2*(q^2-1)*q^7*r2*EW4,0,0,0,0,0,0, -1/2*(q^2-1)*q^5*r2*EW4,1/2*q^5*r2*EW4,1/2*(q^2-1)*q^5*r2*EW4, -1/2*q^5*r2*EW4,-1/2*q^5*r2,1/2*q^5*r2,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0], #49 [[`B_chi49`,`sum of q^2 irreducibles `], 1/2*(q^2-1)^2*q^9*r2,1/2*(q^2-1)^2*q^9*r2,1/2*(q^2-1)^2*q^9*r2, -1/2*(q^2-1)*q^9*r2,0,0,-1/2*(q^2-1)^2*q^7*r2,1/2*(q^2-1)*q^7*r2, 0,0,-1/2*(q^2-1)*q^7*r2*EW4,1/2*(q^2-1)*q^7*r2*EW4,0,0,0,0,0,0, 1/2*(q^2-1)*q^5*r2*EW4,-1/2*q^5*r2*EW4,-1/2*(q^2-1)*q^5*r2*EW4, 1/2*q^5*r2*EW4,-1/2*q^5*r2,1/2*q^5*r2,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0], #50 [[`B_chi50`,`sum of q^2 irreducibles `], q^10*(q^2-1)^2,q^10*(q^2-1)^2,q^10*(q^2-1)^2,-q^10*(q^2-1),0,0,q^8*(q^2-1),-q^8,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], #51 [[`B_chi51`,`irreducible `], q^9/r2*(q^2-1),q^9/r2*(q^2-1),-q^9/r2,0,0,0,0,0,0,0,0,0,0,EW4*q^5/r2,-EW4*q^5/r2, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-q^5/r2*(q^2-1),q^5/r2, 0,0,EW4*q^5/r2,-EW4*q^5/r2,0,0,0,0,0,0,0,0,0,0,EW4*q^3/r2*(q^2-1),-EW4*q^3/r2, 0,q^3/r2,-q^3/r2,0,0,0,-EW4*q^3/r2*(q^2-1),EW4*q^3/r2,0,0,0,0,q^3/r2,-q^3/r2, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,q/r2*(q^2-1)*GEWZ2^(iI*kK),-q/r2*GEWZ2^(iI*kK), EW4*q/r2*GEWZ2^(iI*kK),-EW4*q/r2*GEWZ2^(iI*kK),0,0,0,0,0,0,0,0,0,0,0], #52 [[`B_chi52`,`irreducible `], q^9/r2*(q^2-1),q^9/r2*(q^2-1),-q^9/r2,0,0,0,0,0,0,0,0,0,0,-EW4*q^5/r2,EW4*q^5/r2, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-q^5/r2*(q^2-1),q^5/r2, 0,0,-EW4*q^5/r2,EW4*q^5/r2,0,0,0,0,0,0,0,0,0,0,-EW4*q^3/r2*(q^2-1),EW4*q^3/r2, 0,q^3/r2,-q^3/r2,0,0,0,EW4*q^3/r2*(q^2-1),-EW4*q^3/r2,0,0,0,0,q^3/r2,-q^3/r2, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,q/r2*(q^2-1)*GEWZ2^(iI*kK),-q/r2*GEWZ2^(iI*kK), -EW4*q/r2*GEWZ2^(iI*kK),EW4*q/r2*GEWZ2^(iI*kK),0,0,0,0,0,0,0,0,0,0,0], #53 [[`B_chi53`,`irreducible `], 1/2*(q^2-1)^2*q^9*r2,1/2*(q^2-1)^2*q^9*r2,-1/2*(q^2-1)*q^9*r2,0,0,0, 0,0,0,0,0,0,0,1/2*(q^2-1)*q^5*r2*EW4,-1/2*(q^2-1)*q^5*r2*EW4,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1/2*(q^2-1)^2*q^5*r2, 1/2*q^5*r2*(q^2-1),0,0,1/2*(q^2-1)*q^5*r2*EW4,-1/2*(q^2-1)*q^5*r2*EW4,0, 0,0,0,0,0,0,0,0,0,-1/2*(q^2-1)*q^3*r2*EW4,1/2*EW4*q^3*r2,0,-1/2*q^3*r2, 1/2*q^3*r2,0,0,0,1/2*(q^2-1)*q^3*r2*EW4,-1/2*EW4*q^3*r2,0,0,0,0, -1/2*q^3*r2,1/2*q^3*r2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0], #54 [[`B_chi54`,`irreducible `], 1/2*(q^2-1)^2*q^9*r2,1/2*(q^2-1)^2*q^9*r2,-1/2*(q^2-1)*q^9*r2,0,0,0,0, 0,0,0,0,0,0,-1/2*(q^2-1)*q^5*r2*EW4,1/2*(q^2-1)*q^5*r2*EW4,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1/2*(q^2-1)^2*q^5*r2,1/2*q^5*r2*(q^2-1), 0,0,-1/2*(q^2-1)*q^5*r2*EW4,1/2*(q^2-1)*q^5*r2*EW4,0,0,0,0,0,0,0,0,0,0, 1/2*(q^2-1)*q^3*r2*EW4,-1/2*EW4*q^3*r2,0,-1/2*q^3*r2,1/2*q^3*r2,0,0,0, -1/2*(q^2-1)*q^3*r2*EW4,1/2*EW4*q^3*r2,0,0,0,0,-1/2*q^3*r2,1/2*q^3*r2, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], #55 [[`B_chi55`,`irreducible `], 1/2*q^10*(q^2-1)^2,1/2*q^10*(q^2-1)^2,-1/2*(q^2-1)*q^10,0,0,0,0,0,0,0,0,0,0, 1/2*(q^2-1)*q^6*EW4,-1/2*(q^2-1)*q^6*EW4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,1/2*q^6*(q^2-1),-1/2*q^6,0,0,-1/2*EW4*q^6,1/2*EW4*q^6,0,0,0,0, 0,0,0,0,0,0,-1/2*(q^2-1)*q^4,1/2*q^4,0,1/2*EW4*q^4,-1/2*EW4*q^4,0,0,0,-1/2*(q^2-1)*q^4, 1/2*q^4,0,0,0,0,-1/2*EW4*q^4,1/2*EW4*q^4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0], #56 [[`B_chi56`,`irreducible `], 1/2*q^10*(q^2-1)^2,1/2*q^10*(q^2-1)^2,-1/2*(q^2-1)*q^10,0,0,0,0,0,0,0,0,0,0, 1/2*(q^2-1)*q^6*EW4,-1/2*(q^2-1)*q^6*EW4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,1/2*q^6*(q^2-1),-1/2*q^6,0,0,-1/2*EW4*q^6,1/2*EW4*q^6,0,0,0,0,0,0,0,0,0, 0,1/2*(q^2-1)*q^4,-1/2*q^4,0,-1/2*EW4*q^4,1/2*EW4*q^4,0,0,0,1/2*(q^2-1)*q^4,-1/2*q^4,0,0, 0,0,1/2*EW4*q^4,-1/2*EW4*q^4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0], #57 [[`B_chi57`,`irreducible `], 1/2*q^10*(q^2-1)^2,1/2*q^10*(q^2-1)^2,-1/2*(q^2-1)*q^10,0,0,0,0,0,0,0,0,0,0, -1/2*(q^2-1)*q^6*EW4,1/2*(q^2-1)*q^6*EW4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,1/2*q^6*(q^2-1),-1/2*q^6,0,0,1/2*EW4*q^6,-1/2*EW4*q^6,0,0,0,0,0,0,0,0, 0,0,1/2*(q^2-1)*q^4,-1/2*q^4,0,1/2*EW4*q^4,-1/2*EW4*q^4,0,0,0,1/2*(q^2-1)*q^4,-1/2*q^4,0, 0,0,0,-1/2*EW4*q^4,1/2*EW4*q^4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0], #58 [[`B_chi58`,`irreducible `], 1/2*q^10*(q^2-1)^2,1/2*q^10*(q^2-1)^2,-1/2*(q^2-1)*q^10,0,0,0,0,0,0,0,0,0,0, -1/2*(q^2-1)*q^6*EW4,1/2*(q^2-1)*q^6*EW4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,1/2*q^6*(q^2-1),-1/2*q^6,0,0,1/2*EW4*q^6,-1/2*EW4*q^6,0,0,0,0,0,0,0,0,0,0, -1/2*(q^2-1)*q^4,1/2*q^4,0,-1/2*EW4*q^4,1/2*EW4*q^4,0,0,0,-1/2*(q^2-1)*q^4,1/2*q^4,0,0,0,0, 1/2*EW4*q^4,-1/2*EW4*q^4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0] ]): Klassen2F4_BParameter := array(-1..99,[ [[],[]], [[],[]], [[],[]], [[],[]], [[],[]], [[],[]], [[],[]], [[],[]], [[],[]], [[],[]], [[],[]], [[],[]], [[],[]], [[],[]], [[],[]], [[],[]], [[],[]], [[],[]], [[],[]], [[],[]], [[],[]], [[],[]], [[],[]], [[],[]], [[],[]], [[],[]], [[],[]], [[],[]], [[],[]], [[],[]], [[],[]], [[iI=1..q^2-2],[]], [[iI=1..q^2-2],[]], [[],[]], [[],[]], [[],[]], [[iI=1..q^2/2-1],[]], [[iI=1..q^2/2-1],[]], [[iI=1..q^2/2-1],[]], [[iI=1..q^2/2-1],[]], [[],[]], [[],[]], [[],[]], [[],[]], [[],[]], [[],[]], [[],[]], [[iI=1..q^2-2],[]], [[iI=1..(q^2-2)/6],[]], [[iI=1..q^2/2-1],[]], [[iI=1..(q^2+1)/3],[]], [[],[]], [[],[]], [[],[]], [[],[]], [[],[]], [[],[]], [[],[]], [[],[]], [[],[]], [[],[]], [[iI=1..q^2/2-1],[]], [[iI=1..q^2/4+r2*q/4],[]], [[iI=1..q^2/4-r2*q/4],[]], [[],[]], [[],[]], [[],[]], [[iI=1..q^2/2-1],[]], [[iI=1..q^2/4-r2*q/4],[]], [[iI=1..q^2/4+r2*q/4],[]], [[],[]], [[],[]], [[],[]], [[],[]], [[],[]], [[],[]], [[iI=1..q^2-1],[[iI,q^2-1]]], [[iI=1..q^2-1],[[iI,q^2-1]]], [[iI=1..q^2-1],[[iI,q^2-1]]], [[iI=1..q^2-1],[[iI,q^2-1]]], [[iI=1..q^2-1],[[iI,q^2-1]]], [[iI=1..q^2-1],[[iI,q^2-1]]], [[iI=1..q^2-1],[[iI,q^2-1]]], [[iI=1..q^2-1],[[iI,q^2-1]]], [[iI=1..q^2-1],[[iI,q^2-1]]], [[iI=1..q^2-1],[[iI,q^2-1]]], [[iI=1..q^2-1],[[iI,q^2-1]]], [[iI=1..q^2-1],[[iI,q^2-1]]], [[iI=1..q^2-1],[[iI,q^2-1]]], [[iI=1..q^2-1],[[iI,q^2-1]]], [[iI=1..q^2-1],[[iI,q^2-1]]], [[iI=1..q^2-1],[[iI,q^2-1]]], [[iI=1..q^2-1],[[iI,q^2-1]]], [[iI=1..q^2-1],[[iI,q^2-1]]], [[iI=1..q^2-1],[[iI,q^2-1]]], [[iI=1..q^2-1],[[iI,q^2-1]]], [[iI=1..q^2-1],[[iI,q^2-1]]], [[iI=1..q^2-1],[[iI,q^2-1]]], [[iI=1..q^2-1],[[iI,q^2-1]]], [[iI=1..q^2-1],[[iI,q^2-1]]], [[iI=1..q^2-1,jJ=1..q^2-1],[`many`]] ]): Char2F4_BParameter := array(-1..58,[ [[],[]], [[],[]], [[kK=1..q^2-1,lL=1..q^2-1],[]], [[kK=1..q^2-1],[]], [[kK=1..q^2-1],[]], [[kK=1..q^2-1],[]], [[kK=1..q^2-1],[]], [[],[]], [[],[]], [[],[]], [[kK=1..q^2-1],[]], [[],[]], [[kK=1..q^2-1],[]], [[kK=1..q^2-1],[]], [[],[]], [[],[]], [[],[]], [[],[]], [[],[]], [[],[]], [[],[]], [[],[]], [[],[]], [[],[]], [[kK=1..q^2-1],[]], [[],[]], [[],[]], [[kK=1..q^2-1],[]], [[kK=1..q^2-1],[]], [[],[]], [[],[]], [[],[]], [[],[]], [[],[]], [[],[]], [[],[]], [[],[]], [[],[]], [[],[]], [[],[]], [[kK=1..q^2-1],[]], [[],[]], [[],[]], [[kK=1..q^2-1],[]], [[],[]], [[kK=1..q^2-1],[]], [[kK=1..q^2-1],[]], [[],[]], [[],[]], [[],[]], [[],[]], [[],[]], [[kK=1..q^2-1],[]], [[kK=1..q^2-1],[]], [[],[]], [[],[]], [[],[]], [[],[]], [[],[]], [[],[]] ]): Klassen2F4B02Summe1 :=proc(tt) tt end: Klassen2F4B02Summe2 :=proc(tt) tt end: Klassen2F4B02Summe3 :=proc(tt) tt end: Klassen2F4B02Summe4 :=proc(tt) tt end: Klassen2F4B02Summe5 :=proc(tt) tt end: Klassen2F4B02Summe6 :=proc(tt) tt end: Klassen2F4B02Summe7 :=proc(tt) tt end: Klassen2F4B02Summe8 :=proc(tt) tt end: Klassen2F4B02Summe9 :=proc(tt) tt end: Klassen2F4B02Summe10 :=proc(tt) tt end: Klassen2F4B02Summe11 :=proc(tt) tt end: Klassen2F4B02Summe12 :=proc(tt) tt end: Klassen2F4B02Summe13 :=proc(tt) tt end: Klassen2F4B02Summe14 :=proc(tt) tt end: Klassen2F4B02Summe15 :=proc(tt) tt end: Klassen2F4B02Summe16 :=proc(tt) tt end: Klassen2F4B02Summe17 :=proc(tt) tt end: Klassen2F4B02Summe18 :=proc(tt) tt end: Klassen2F4B02Summe19 :=proc(tt) tt end: Klassen2F4B02Summe20 :=proc(tt) tt end: Klassen2F4B02Summe21 :=proc(tt) tt end: Klassen2F4B02Summe22 :=proc(tt) tt end: Klassen2F4B02Summe23 :=proc(tt) tt end: Klassen2F4B02Summe24 :=proc(tt) tt end: Klassen2F4B02Summe25 :=proc(tt) tt end: Klassen2F4B02Summe26 :=proc(tt) tt end: Klassen2F4B02Summe27 :=proc(tt) tt end: Klassen2F4B02Summe28 :=proc(tt) tt end: Klassen2F4B02Summe29 :=proc(tt) tt end: Klassen2F4B02Summe30:=proc(tt) smalqscew(1,nesum(tt,iI=1..q^2-2)); end: Klassen2F4B02Summe31:=proc(tt) smalqscew(1,nesum(tt,iI=1..q^2-2)); end: Klassen2F4B02Summe32 :=proc(tt) tt end: Klassen2F4B02Summe33 :=proc(tt) tt end: Klassen2F4B02Summe34 :=proc(tt) tt end: Klassen2F4B02Summe35:=proc(tt) smalqscew(1,nesum(tt,iI=1..q^2/2-1)); end: Klassen2F4B02Summe36:=proc(tt) smalqscew(1,nesum(tt,iI=1..q^2/2-1)); end: Klassen2F4B02Summe37:=proc(tt) smalqscew(1,nesum(tt,iI=1..q^2/2-1)); end: Klassen2F4B02Summe38:=proc(tt) smalqscew(1,nesum(tt,iI=1..q^2/2-1)); end: Klassen2F4B02Summe39 :=proc(tt) tt end: Klassen2F4B02Summe40 :=proc(tt) tt end: Klassen2F4B02Summe41 :=proc(tt) tt end: Klassen2F4B02Summe42 :=proc(tt) tt end: Klassen2F4B02Summe43 :=proc(tt) tt end: Klassen2F4B02Summe44 :=proc(tt) tt end: Klassen2F4B02Summe45 :=proc(tt) tt end: Klassen2F4B02Summe46:=proc(tt) smalqscew(1,nesum(tt,iI=1..q^2-2)); end: Klassen2F4B02Summe47:=proc(tt) smalqscew(1,nesum(tt,iI=1..q^2/6-1/3)); end: Klassen2F4B02Summe48:=proc(tt) smalqscew(1,nesum(tt,iI=1..q^2/2-1)); end: Klassen2F4B02Summe49:=proc(tt) smalqscew(1,nesum(tt,iI=1..(q^2+1)/3)); end: Klassen2F4B02Summe50 :=proc(tt) tt end: Klassen2F4B02Summe51 :=proc(tt) tt end: Klassen2F4B02Summe52 :=proc(tt) tt end: Klassen2F4B02Summe53 :=proc(tt) tt end: Klassen2F4B02Summe54 :=proc(tt) tt end: Klassen2F4B02Summe55 :=proc(tt) tt end: Klassen2F4B02Summe56 :=proc(tt) tt end: Klassen2F4B02Summe57 :=proc(tt) tt end: Klassen2F4B02Summe58 :=proc(tt) tt end: Klassen2F4B02Summe59 :=proc(tt) tt end: Klassen2F4B02Summe60:=proc(tt) smalqscew(1,nesum(tt,iI=1..q^2/2-1)); end: Klassen2F4B02Summe61:=proc(tt) smalqscew(1,nesum(tt,iI=1..q^2/4+r2*q/4)); end: Klassen2F4B02Summe62:=proc(tt) smalqscew(1,nesum(tt,iI=1..q^2/4-r2*q/4)); end: Klassen2F4B02Summe63 :=proc(tt) tt end: Klassen2F4B02Summe64 :=proc(tt) tt end: Klassen2F4B02Summe65 :=proc(tt) tt end: Klassen2F4B02Summe66:=proc(tt) smalqscew(1,nesum(tt,iI=1..q^2/2-1)); end: Klassen2F4B02Summe67:=proc(tt) smalqscew(1,nesum(tt,iI=1..q^2/4-r2*q/4)); end: Klassen2F4B02Summe68:=proc(tt) smalqscew(1,nesum(tt,iI=1..q^2/4+r2*q/4)); end: Klassen2F4B02Summe69 :=proc(tt) tt end: Klassen2F4B02Summe70 :=proc(tt) tt end: Klassen2F4B02Summe71 :=proc(tt) tt end: Klassen2F4B02Summe72 :=proc(tt) tt end: Klassen2F4B02Summe73 :=proc(tt) tt end: Klassen2F4B02Summe74 :=proc(tt) tt end: Klassen2F4B02Summe75:=proc(tt) smalqscew(1,nesum(tt,iI=1..q^2-2)); end: Klassen2F4B02Summe76:=proc(tt) smalqscew(1,nesum(tt,iI=1..q^2-2)); end: Klassen2F4B02Summe77:=proc(tt) smalqscew(1,nesum(tt,iI=1..q^2-2)); end: Klassen2F4B02Summe78:=proc(tt) smalqscew(1,nesum(tt,iI=1..q^2-2)); end: Klassen2F4B02Summe79:=proc(tt) smalqscew(1,nesum(tt,iI=1..q^2-2)); end: Klassen2F4B02Summe80:=proc(tt) smalqscew(1,nesum(tt,iI=1..q^2-2)); end: Klassen2F4B02Summe81:=proc(tt) smalqscew(1,nesum(tt,iI=1..q^2-2)); end: Klassen2F4B02Summe82:=proc(tt) smalqscew(1,nesum(tt,iI=1..q^2-2)); end: Klassen2F4B02Summe83:=proc(tt) smalqscew(1,nesum(tt,iI=1..q^2-2)); end: Klassen2F4B02Summe84:=proc(tt) smalqscew(1,nesum(tt,iI=1..q^2-2)); end: Klassen2F4B02Summe85:=proc(tt) smalqscew(1,nesum(tt,iI=1..q^2-2)); end: Klassen2F4B02Summe86:=proc(tt) smalqscew(1,nesum(tt,iI=1..q^2-2)); end: Klassen2F4B02Summe87:=proc(tt) smalqscew(1,nesum(tt,iI=1..q^2-2)); end: Klassen2F4B02Summe88:=proc(tt) smalqscew(1,nesum(tt,iI=1..q^2-2)); end: Klassen2F4B02Summe89:=proc(tt) smalqscew(1,nesum(tt,iI=1..q^2-2)); end: Klassen2F4B02Summe90:=proc(tt) smalqscew(1,nesum(tt,iI=1..q^2-2)); end: Klassen2F4B02Summe91:=proc(tt) smalqscew(1,nesum(tt,iI=1..q^2-2)); end: Klassen2F4B02Summe92:=proc(tt) smalqscew(1,nesum(tt,iI=1..q^2-2)); end: Klassen2F4B02Summe93:=proc(tt) smalqscew(1,nesum(tt,iI=1..q^2-2)); end: Klassen2F4B02Summe94:=proc(tt) smalqscew(1,nesum(tt,iI=1..q^2-2)); end: Klassen2F4B02Summe95:=proc(tt) smalqscew(1,nesum(tt,iI=1..q^2-2)); end: Klassen2F4B02Summe96:=proc(tt) smalqscew(1,nesum(tt,iI=1..q^2-2)); end: Klassen2F4B02Summe97:=proc(tt) smalqscew(1,nesum(tt,iI=1..q^2-2)); end: Klassen2F4B02Summe98:=proc(tt) smalqscew(1,nesum(tt,iI=1..q^2-2)); end: Klassen2F4B02Summe99:=proc(tt) local s1,s2,s3,s4,s5,s6,s7,s8,tt1,erg; s1 := nesum(tt,iI=1..q^2-2); s2 := nesum(s1,jJ=1..q^2-2); tt1 := eesubs(jJ=iI,tt); s3 := nesum(tt1,iI=1..q^2-2); tt1 := eesubs(jJ=-iI,tt); s4 := nesum(tt1,iI=1..q^2-2); tt1 := eesubs(iI=-(q*r2-1)*jJ,tt); s5:= nesum(tt1,jJ=1..q^2-2); tt1 := eesubs(iI=(q*r2-1)*jJ,tt); s6:= nesum(tt1,jJ=1..q^2-2); tt1 := eesubs(jJ=-(q*r2-1)*iI,tt); s7:= nesum(tt1,iI=1..q^2-2); tt1 := eesubs(jJ=(q*r2-1)*iI,tt); s8:= nesum(tt1,iI=1..q^2-2); erg := linkomb(1,s2,-1,s3,-1,s4,-1,s5,-1,s6,-1,s7,-1,s8); smalqscew(1,erg); end: Char2F4B02Summe1:=proc(tt) local s1,s2,erg; s1:=nesum(tt,kK=0..q^2-2); s2:=nesum(s1,lL=0..q^2-2); erg:=linkomb(1,s2); smalqscew(1,erg); end: Char2F4B02Summe2:=proc(tt) smalqscew(1,nesum(tt,kK=1..q^2-1)); end: Char2F4B02Summe3:=proc(tt) smalqscew(1,nesum(tt,kK=1..q^2-1)); end: Char2F4B02Summe4:=proc(tt) smalqscew(1,nesum(tt,kK=1..q^2-1)); end: Char2F4B02Summe5:=proc(tt) smalqscew(1,nesum(tt,kK=1..q^2-1)); end: Char2F4B02Summe6:=proc(tt) tt end: Char2F4B02Summe7:=proc(tt) tt end: Char2F4B02Summe8:=proc(tt) tt end: Char2F4B02Summe9:=proc(tt) smalqscew(1,nesum(tt,kK=1..q^2-1)); end: Char2F4B02Summe10:=proc(tt) tt end: Char2F4B02Summe11:=proc(tt) smalqscew(1,nesum(tt,kK=1..q^2-1)); end: Char2F4B02Summe12:=proc(tt) smalqscew(1,nesum(tt,kK=1..q^2-1)); end: Char2F4B02Summe13:=proc(tt) tt end: Char2F4B02Summe14:=proc(tt) tt end: Char2F4B02Summe15:=proc(tt) tt end: Char2F4B02Summe16:=proc(tt) tt end: Char2F4B02Summe17:=proc(tt) tt end: Char2F4B02Summe18:=proc(tt) tt end: Char2F4B02Summe19:=proc(tt) tt end: Char2F4B02Summe20:=proc(tt) tt end: Char2F4B02Summe21:=proc(tt) tt end: Char2F4B02Summe22:=proc(tt) tt end: Char2F4B02Summe23:=proc(tt) smalqscew(1,nesum(tt,kK=1..q^2-1)); end: Char2F4B02Summe24:=proc(tt) tt end: Char2F4B02Summe25:=proc(tt) tt end: Char2F4B02Summe26:=proc(tt) smalqscew(1,nesum(tt,kK=1..q^2-1)); end: Char2F4B02Summe27:=proc(tt) smalqscew(1,nesum(tt,kK=1..q^2-1)); end: Char2F4B02Summe28:=proc(tt) tt end: Char2F4B02Summe29:=proc(tt) tt end: Char2F4B02Summe30:=proc(tt) tt end: Char2F4B02Summe31:=proc(tt) tt end: Char2F4B02Summe32:=proc(tt) tt end: Char2F4B02Summe33:=proc(tt) tt end: Char2F4B02Summe34:=proc(tt) tt end: Char2F4B02Summe35:=proc(tt) tt end: Char2F4B02Summe36:=proc(tt) tt end: Char2F4B02Summe37:=proc(tt) tt end: Char2F4B02Summe38:=proc(tt) tt end: Char2F4B02Summe39:=proc(tt) smalqscew(1,nesum(tt,kK=1..q^2-1)); end: Char2F4B02Summe40:=proc(tt) tt end: Char2F4B02Summe41:=proc(tt) tt end: Char2F4B02Summe42:=proc(tt) smalqscew(1,nesum(tt,kK=1..q^2-1)); end: Char2F4B02Summe43:=proc(tt) tt end: Char2F4B02Summe44:=proc(tt) smalqscew(1,nesum(tt,kK=1..q^2-1)); end: Char2F4B02Summe45:=proc(tt) smalqscew(1,nesum(tt,kK=1..q^2-1)); end: Char2F4B02Summe46:=proc(tt) tt end: Char2F4B02Summe47:=proc(tt) tt end: Char2F4B02Summe48:=proc(tt) tt end: Char2F4B02Summe49:=proc(tt) tt end: Char2F4B02Summe50:=proc(tt) tt end: Char2F4B02Summe51:=proc(tt) smalqscew(1,nesum(tt,kK=1..q^2-1)); end: Char2F4B02Summe52:=proc(tt) smalqscew(1,nesum(tt,kK=1..q^2-1)); end: Char2F4B02Summe53:=proc(tt) tt end: Char2F4B02Summe54:=proc(tt) tt end: Char2F4B02Summe55:=proc(tt) tt end: Char2F4B02Summe56:=proc(tt) tt end: Char2F4B02Summe57:=proc(tt) tt end: Char2F4B02Summe58:=proc(tt) tt end: parameter2F4B02:=proc(arg,char,class) subs(iI=cat(iI,class),jJ=cat(jJ,class), lL=cat(lL,char),kK=cat(kK,char),arg); end: konvert2F4B02 := proc(xX) subs( EW4 = EE^((Pi*I)/2), xX) end: r2 := sqrt(2): setCongruence2F4B02 := proc() global qQ, q; qQ := 'qQ'; q := r2*(3*qQ+DELTA); NULL; end: unsetCongruence2F4B02 := proc() global q, qQ; q := 'q'; qQ := (q/r2-DELTA)/3; NULL; end: # In effect, this table does not depend on DELTA (the congruence class # of q mod 3), so we can make the following choice: DELTA := 1: Information2F4B02:=TEXT( `Information about the generic character table of the Standard Borel`, `Subgroup of $^2F_4(q)$, $q^2 = 2^(2n+1)$:`, ``, `- CHEVIE-name of the table: ``2F4_B```, ``, `- The table was first computed in:`, ` {\\sc F. Himstedt and S.-c. Huang}, Character Table of a Borel Subgroup`, ` of the Ree Groups ${^2F_4(q^2)}$`, ` ` ): g := `2F4_B`: print(`g := ``2F4_B`` `); lprint(`*******************************************************************************`); lprint(`* *`); lprint(`* *`); lprint(`* B_chi25 is a sum of q^2 irr. chars of degree q^4*(q^2-1)^2 *`); lprint(`* B_chi35 is a sum of (2*q^2-4)/3 irr. chars of degree q^4*(q^2-1)^2/2 *`); lprint(`* B_chi36 is a sum of 2*q^2-4 irr. chars of degree q^4*(q^2-1)^2/2 *`); lprint(`* B_chi37 is a sum of (q^2+1)/3 irr. chars of degree q^4*(q^2-1)^2 *`); lprint(`* B_chi41 is a sum of q^2 irr. chars of degree q^6*(q^2-1)^2 *`); lprint(`* B_chi48 is a sum of q^2 irr. chars of degree q^7/sqrt(2)*(q^2-1)^2 *`); lprint(`* B_chi49 is a sum of q^2 irr. chars of degree q^7/sqrt(2)*(q^2-1)^2 *`); lprint(`* B_chi50 is a sum of q^2 irr. chars of degree q^8*(q^2-1)^2 *`); lprint(`* *`); lprint(`* (Because these characters are not irreducible, one does not always *`); lprint(`* get 1's and 0's when applying Ortho2Norm and Ortho2Scalar to this *`); lprint(`* character table.) *`); lprint(`* *`); lprint(`* *`); lprint(`*******************************************************************************`);