Report on type E7 #: number of representation from character table Dim: dimensiona qual-Z: quality of Z model, if it exists; qual-Q: quality of Q model, if it exists; indices: model obtained from tensor product of representations i,j; T-Dim: dimension of tensor product; comment: miscellaneous #/Dim qual-Z qual-Q indices T-Dim comment 1/1 1.0 trivial representation 2/1 1.0 sign representation 3/7 1.24 8.24 2 4 7 tensored with a character 4/7 1.24 reflection representation 5/15 18717.67 6 2 15 tensored with a character 6/15 18717.67 7 13 735 Summand of Rep(7) x Rep(13) 7/21 58.95 2 7 21 tensored with a character 8/21 1.41 2 9 21 tensored with a character 9/21 1.41 3 3 49 Summand of Rep(3) x Rep(3) 10/21 58.95 3 12 189 Summand of Rep(3) x Rep(12) 11/27 1.84 12 2 27 tensored with a character 12/27 1.84 3 3 49 Summand of Rep(3) x Rep(3) 13/35 3246.44 2 14 35 tensored with a character 14/35 1.49 8 3 147 Summand of Rep(8) x Rep(3) 15/35 1.49 2 15 35 tensored with a character 16/35 3246.44 18 4 392 Summand of Rep(18) x Rep(4) 17/56 16.49 17 2 56 tensored with a character 18/56 16.49 3 12 189 Summand of Rep(3) x Rep(12) 19/70 299032534.0 4 42 1470 Upgraded 20/70 299032534.0 2 19 70 tensored with a character 21/84 36964606.90 6 5 225 Summand of Rep(6) x Rep(5) 22/84 36964606.90 2 21 84 tensored with a character 23/105 21604.22 3 5 105 Summand of Rep(3) x Rep(5) 24/105 3.39 8 3 147 Summand of Rep(8) x Rep(3) 25/105 3.39 2 24 105 tensored with a character 26/105 15232020.63 27 2 105 tensored with a character 27/105 15232020.63 6 5 225 Summand of Rep(6) x Rep(5) 28/105 21604.22 2 25 105 tensored with a character 29/120 251.72 4 7 147 Summand of Rep(4) x Rep(7) 30/120 251.72 29 2 120 tensored with a character 31/168 6.39 9 9 441 Summand of Rep(9) x Rep(9) 32/168 6.39 31 2 168 tensored with a character 33/189 33494.89 38 2 189 tensored with a character 34/189 33494.89 12 10 567 Summand of Rep(12) x Rep(10) 35/189 22367.30 13 4 245 Summand of Rep(13) x Rep(4) 36/189 22367.30 2 34 189 tensored with a character 37/189 5.36 36 2 189 tensored with a character 38/189 5.36 16 3 245 Summand of Rep(16) x Rep(3) 39/210 44819221300.0 2 41 210 tensored with a character 40/210 46.56 2 39 210 tensored with a character 41/210 46.56 18 4 392 Summand of Rep(18) x Rep(4) 42/210 44819221300.0 3 22 588 Summand of Rep(3) x Rep(22) 43/216 61067.17 2 44 216 tensored with a character 44/216 61067.17 7 13 735 Summand of Rep(7) x Rep(13) 45/280 4068898.86 6 7 315 Summand of Rep(6) x Rep(7) 46/280 543.74 48 2 280 tensored with a character 47/280 543.74 8 10 441 Summand of Rep(8) x Rep(10) 48/280 4068898.86 45 2 280 tensored with a character 49/315 23528.59 50 2 315 tensored with a character 50/315 23528.59 9 5 315 Summand of Rep(9) x Rep(5) 51/336 806.76 15 10 735 Summand of Rep(15) x Rep(10) 52/336 806.76 52 2 336 tensored with a character 53/378 138020081.0 3 22 588 Summand of Rep(3) x Rep(22) 54/378 138020081.0 2 53 378 tensored with a character 55/405 894152.90 83133.44 56 2 405 tensored with a character 56/405 894152.90 2 56 405 tensored with a character 57/420 1110693.80 127715.59 14 5 525 Summand of Rep(14) x Rep(5) 58/420 1110693.80 271339.40 57 2 420 tensored with a character 59/512 35515398.59 60/512 35515398.59 tensor with chi