Starting computation seeded with parameter(s): 21,15 Command:parameters -b blockFiles/Sp6dualSO52 -o output/Sp6dualSO52 -t C -s 21=(3-,2+,1),15=(2,3-,1) G=Sp(6,R) (based on the block file blockFiles/Sp6dualSO52) Computed Parameters: Barbasch: parameter in Barbasch's notation. The pluses and minuses are exactly according to Barbasch's convention, and differ from Vogan's Gamma by epsilon. See the help file. Give the -g option to get parameters in "Gamma" notation. epsilon: epsilon_alpha for all real long alpha Action: how the parameter was obtained Atlas: parameter from atlas block file blockFiles/Sp6dualSO52 Barbasch epsilon Action Atlas (3,-2,1-) 1 2x6 0(12,14): 1 1 [i1,C+,rn] 2 6 0 ( 4, *) ( *, *) ( *, *) 3 (-2,-3,1-) 1 2x7 1(13,14): 1 1 [ic,C+,rn] 1 7 1 ( *, *) ( *, *) ( *, *) 3 (2,-3,1-) 1 1x0 2(14,14): 1 1 [i1,C+,rn] 0 5 2 ( 4, *) ( *, *) ( *, *) 3 (3,2,1-) 1 2x8 3(15,14): 1 1 [ic,C+,rn] 3 8 3 ( *, *) ( *, *) ( *, *) 3 (3_-2,1-) 1 1^0 4(16,13): 2 4 [r1,C+,rn] 4 9 4 ( 0, 2) ( *, *) ( *, *) 3,1 (1,-3,2+) 1 1x12 5(19,12): 2 1 [C+,C-,i1] 12 2 7 ( *, *) ( *, *) (10, *) 2,3,2 (3,-1,2+) 1 3x8 6(20,12): 2 1 [C+,C-,i1] 13 0 8 ( *, *) ( *, *) (11, *) 2,3,2 (-1,-3,2+) 1 3x5 7(21,12): 2 1 [C+,C-,i1] 14 1 5 ( *, *) ( *, *) (10, *) 2,3,2 (3,1,2+) 1 1x15 8(22,12): 2 1 [C+,C-,i1] 15 3 6 ( *, *) ( *, *) (11, *) 2,3,2 (3_-1,2+) 1 1x16 9(25,11): 3 4 [C+,C-,C+] 16 4 19 ( *, *) ( *, *) ( *, *) 2,3,1,2 (-3,2+,1-) -1 1x18 10(26,10): 3 3 [C+,rn,r1] 18 10 10 ( *, *) ( *, *) ( 5, 7) 3,2,3,2 (3,2+,1-) -1 3^8 11(27,10): 3 3 [C+,rn,r1] 17 11 11 ( *, *) ( *, *) ( 6, 8) 3,2,3,2 (1,-2,3-) 1 2x13 12(28, 9): 3 1 [C-,i1,i1] 5 13 14 ( *, *) (16, *) (18, *) 1,2,3,2,1 (2,-1,3-) 1 3x15 13(29, 9): 3 1 [C-,i1,i1] 6 12 15 ( *, *) (16, *) (17, *) 1,2,3,2,1 (-1,-2,3-) 1 3x12 14(30, 9): 3 1 [C-,ic,i1] 7 14 12 ( *, *) ( *, *) (18, *) 1,2,3,2,1 (2,1,3-) 1 *** 15(31, 9): 3 1 [C-,ic,i1] 8 15 13 ( *, *) ( *, *) (17, *) 1,2,3,2,1 (2_-1,3-) 1 2^13 16(34, 8): 4 4 [C-,r1,C+] 9 16 22 ( *, *) (12,13) ( *, *) 2,1,2,3,2,1 (2,3-,1-) -1 3^15 17(35, 7): 4 3 [C-,C+,r1] 11 21 17 ( *, *) ( *, *) (13,15) 3,1,2,3,2,1 (-2,3-,1-) -1 2x20 18(36, 7): 4 3 [C-,C+,r1] 10 20 18 ( *, *) ( *, *) (12,14) 3,1,2,3,2,1 (3_1,2+) 1 1x22 19(37, 6): 4 4 [C+,C+,C-] 22 23 9 ( *, *) ( *, *) ( *, *) 3,2,3,1,2,3 (-1,3-,2+) -1 3x21 20(40, 5): 5 3 [rn,C-,i1] 20 18 21 ( *, *) ( *, *) (24, *) 2,3,2,1,2,3,2,1 (1,3-,2+) -1 *** 21(41, 5): 5 3 [rn,C-,i1] 21 17 20 ( *, *) ( *, *) (24, *) 2,3,2,1,2,3,2,1 (2_1,3-) 1 2^24 22(42, 4): 5 4 [C-,i2,C-] 19 22 16 ( *, *) (24,25) ( *, *) 3,2,3,1,2,3,2,1 (3_2,1-) 1 1^25 23(43, 3): 5 4 [i2,C-,rn] 23 19 23 (25,26) ( *, *) ( *, *) 3,2,3,2,1,2,3,2 (3-,2+,1+) 1 3^21 24(44, 0): 6 5 [rn,r2,r1] 24 25 24 ( *, *) (22, *) (20,21) 3,2,3,2,1,2,3,2,1 (3-,2-,1-) 1 2x24 25(44, 1): 6 5 [r2,r2,rn] 26 24 25 (23, *) (22, *) ( *, *) 3,2,3,2,1,2,3,2,1 (3+,2+,1-) 1 1x25 26(44, 2): 6 5 [r2,rn,rn] 25 26 26 (23, *) ( *, *) ( *, *) 3,2,3,2,1,2,3,2,1 All parameters computed