Starting computation seeded with parameter(s): 3 Command:parameters -b blockFiles/Sp6 -o output/Sp6 -t C -s 3=(3,-2,1) G=Sp(6,R) (based on the block file blockFiles/Sp6) 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/Sp6 Barbasch epsilon Action Atlas (3,1,2) -1 3x1 0( 0,24): 0 0 [ic,ic,i1] 0 0 1 ( *, *) ( *, *) (15, *) (3,-1,2) -1 2x3 1( 1,24): 0 0 [ic,i1,i1] 1 3 0 ( *, *) (11, *) (15, *) (-1,-3,-2) -1 3x7 2( 2,24): 0 0 [ic,ic,i1] 2 2 7 ( *, *) ( *, *) (13, *) (3,-2,1) -1 *** 3( 3,24): 0 0 [i1,i1,i1] 6 1 5 ( 8, *) (11, *) (12, *) (2,-3,-1) -1 3x6 4( 4,24): 0 0 [i1,i1,i1] 5 7 6 ( 9, *) (10, *) (14, *) (3,-2,-1) -1 3x3 5( 5,24): 0 0 [i1,ic,i1] 4 5 3 ( 9, *) ( *, *) (12, *) (2,-3,1) -1 1x3 6( 6,24): 0 0 [i1,ic,i1] 3 6 4 ( 8, *) ( *, *) (14, *) (1,-3,-2) -1 2x4 7( 7,24): 0 0 [ic,i1,i1] 7 4 2 ( *, *) (10, *) (13, *) (1,3_-2) -1 1^3 8( 8,23): 1 2 [r1,C+,i1] 8 18 9 ( 3, 6) ( *, *) (16, *) 1 (-1,3_-2) -1 1^5 9( 9,23): 1 2 [r1,C+,i1] 9 17 8 ( 4, 5) ( *, *) (16, *) 1 (-3,2_-1) -1 2^4 10(10,22): 1 2 [C+,r1,C+] 17 10 23 ( *, *) ( 4, 7) ( *, *) 2 (3,2_-1) -1 2^3 11(11,22): 1 2 [C+,r1,C+] 18 11 24 ( *, *) ( 1, 3) ( *, *) 2 (3,-2,1+) 1 3^3 12(12,21): 1 1 [i1,C+,r1] 14 20 12 (16, *) ( *, *) ( 3, 5) 3 (-3,-2,1+) 1 3^7 13(13,21): 1 1 [ic,C+,r1] 13 21 13 ( *, *) ( *, *) ( 2, 7) 3 (2,-3,1+) 1 3^6 14(14,21): 1 1 [i1,C+,r1] 12 19 14 (16, *) ( *, *) ( 4, 6) 3 (3,2,1+) 1 3^1 15(15,21): 1 1 [ic,C+,r1] 15 22 15 ( *, *) ( *, *) ( 0, 1) 3 (3_-2,1+) 1 3^8 16(16,20): 2 4 [r1,C+,r1] 16 25 16 (12,14) ( *, *) ( 8, 9) 3,1 (-2,3_-1) -1 2x9 17(17,19): 2 2 [C-,C-,C+] 10 9 34 ( *, *) ( *, *) ( *, *) 2,1,2 (2,3_-1) -1 2x8 18(18,19): 2 2 [C-,C-,C+] 11 8 35 ( *, *) ( *, *) ( *, *) 2,1,2 (1,-3,2-) 1 2x14 19(19,18): 2 1 [C+,C-,i1] 30 14 21 ( *, *) ( *, *) (27, *) 2,3,2 (3,-1,2-) 1 2x12 20(20,18): 2 1 [C+,C-,i1] 31 12 22 ( *, *) ( *, *) (29, *) 2,3,2 (-1,-3,2-) 1 3x19 21(21,18): 2 1 [C+,C-,i1] 32 13 19 ( *, *) ( *, *) (27, *) 2,3,2 (3,1,2-) 1 2x15 22(22,18): 2 1 [C+,C-,i1] 33 15 20 ( *, *) ( *, *) (29, *) 2,3,2 (-3,2_1) -1 3x10 23(23,17): 2 2 [C+,i2,C-] 34 23 10 ( *, *) (26,27) ( *, *) 3,2,3 (3,2_1) -1 3x11 24(24,17): 2 2 [C+,i2,C-] 35 24 11 ( *, *) (28,29) ( *, *) 3,2,3 (3_-1,2-) 1 2x16 25(25,16): 3 4 [C+,C-,C+] 36 16 41 ( *, *) ( *, *) ( *, *) 2,3,1,2 (-3,2+,1+) -1 2x27 26(26,14): 3 3 [C+,r2,rn] 40 27 26 ( *, *) (23, *) ( *, *) 3,2,3,2 (-3,2-,1-) -1 3^19 27(26,15): 3 3 [C+,r2,r1] 39 26 27 ( *, *) (23, *) (19,21) 3,2,3,2 (3,2+,1+) -1 2x29 28(27,14): 3 3 [C+,r2,rn] 38 29 28 ( *, *) (24, *) ( *, *) 3,2,3,2 (3,2-,1-) -1 3^20 29(27,15): 3 3 [C+,r2,r1] 37 28 29 ( *, *) (24, *) (20,22) 3,2,3,2 (1,-2,3+) 1 1x19 30(28,13): 3 1 [C-,i1,i1] 19 31 32 ( *, *) (36, *) (39, *) 1,2,3,2,1 (2,-1,3+) 1 1x20 31(29,13): 3 1 [C-,i1,i1] 20 30 33 ( *, *) (36, *) (37, *) 1,2,3,2,1 (-1,-2,3+) 1 3x30 32(30,13): 3 1 [C-,ic,i1] 21 32 30 ( *, *) ( *, *) (39, *) 1,2,3,2,1 (2,1,3+) 1 1x22 33(31,13): 3 1 [C-,ic,i1] 22 33 31 ( *, *) ( *, *) (37, *) 1,2,3,2,1 (-2,3_1) -1 3x17 34(32,12): 3 2 [C-,C+,C-] 23 42 17 ( *, *) ( *, *) ( *, *) 3,2,1,2,3 (2,3_1) -1 3x18 35(33,12): 3 2 [C-,C+,C-] 24 43 18 ( *, *) ( *, *) ( *, *) 3,2,1,2,3 (2_-1,3+) 1 1x25 36(34,11): 4 4 [C-,r1,C+] 25 36 48 ( *, *) (30,31) ( *, *) 2,1,2,3,2,1 (2,3+,1-) -1 3^31 37(35, 9): 4 3 [C-,C+,r1] 29 46 37 ( *, *) ( *, *) (31,33) 3,1,2,3,2,1 (2,3-,1+) -1 1x28 38(35,10): 4 3 [C-,C+,rn] 28 47 38 ( *, *) ( *, *) ( *, *) 3,1,2,3,2,1 (-2,3+,1-) -1 3^30 39(36, 9): 4 3 [C-,C+,r1] 27 44 39 ( *, *) ( *, *) (30,32) 3,1,2,3,2,1 (-2,3-,1+) -1 1x26 40(36,10): 4 3 [C-,C+,rn] 26 45 40 ( *, *) ( *, *) ( *, *) 3,1,2,3,2,1 (3_1,2-) 1 3x25 41(37, 8): 4 4 [C+,C+,C-] 48 49 25 ( *, *) ( *, *) ( *, *) 3,2,3,1,2,3 (-1,3_2) -1 2x34 42(38, 7): 4 2 [i2,C-,i1] 42 34 43 (44,45) ( *, *) (49, *) 2,3,2,1,2,3,2 (1,3_2) -1 2x35 43(39, 7): 4 2 [i2,C-,i1] 43 35 42 (46,47) ( *, *) (49, *) 2,3,2,1,2,3,2 (-1,3+,2+) -1 2x39 44(40, 5): 5 3 [r2,C-,i1] 45 39 46 (42, *) ( *, *) (50, *) 2,3,2,1,2,3,2,1 (-1,3-,2-) -1 1x44 45(40, 6): 5 3 [r2,C-,i1] 44 40 47 (42, *) ( *, *) (51, *) 2,3,2,1,2,3,2,1 (1,3+,2+) -1 2x37 46(41, 5): 5 3 [r2,C-,i1] 47 37 44 (43, *) ( *, *) (50, *) 2,3,2,1,2,3,2,1 (1,3-,2-) -1 1x46 47(41, 6): 5 3 [r2,C-,i1] 46 38 45 (43, *) ( *, *) (51, *) 2,3,2,1,2,3,2,1 (2_1,3+) 1 3x36 48(42, 4): 5 4 [C-,i2,C-] 41 48 36 ( *, *) (50,52) ( *, *) 3,2,3,1,2,3,2,1 (3_2,1+) 1 3^43 49(43, 3): 5 4 [i2,C-,r1] 49 41 49 (50,51) ( *, *) (42,43) 3,2,3,2,1,2,3,2 (3+,2+,1+) 1 3^46 50(44, 0): 6 5 [r2,r2,r1] 51 52 50 (49, *) (48, *) (44,46) 3,2,3,2,1,2,3,2,1 (3-,2-,1+) 1 3^47 51(44, 1): 6 5 [r2,rn,r1] 50 51 51 (49, *) ( *, *) (45,47) 3,2,3,2,1,2,3,2,1 (3+,2-,1-) 1 2x50 52(44, 2): 6 5 [rn,r2,rn] 52 50 52 ( *, *) (48, *) ( *, *) 3,2,3,2,1,2,3,2,1 All parameters computed