Starting computation seeded with parameter(s): 37 Command:parameters -b blockFiles/SO44dualSOstar- -o output/SO44dualSOstar- -t D -s 37=(7/2+,5/2+,3/2-,1/2+) G=SO(p,q) (p+q even) (based on the block file blockFiles/SO44dualSOstar-) Computed Parameters: Barbasch: parametera in Barbasch's notation Action: how the parameter was obtained Atlas: parameter from atlas block file blockFiles/SO44dualSOstar- Barbasch Action Atlas (;,7/2_-5/2,3/2^-1/2) 3^1 0(16,37): 2 2 [rn,C+,i2,rn] 0 3 0 0 ( *, *) ( *, *) ( 1, 2) ( *, *) 1,4 (;,7/2_-5/2,3/2-,-1/2+) 2x4 1(24,35): 3 5 [rn,C+,r2,rn] 1 4 2 1 ( *, *) ( *, *) ( 0, *) ( *, *) 1,3,4 (;,7/2^5/2,3/2+,1/2+) 2x5 2(24,36): 3 5 [rn,C+,r2,rn] 2 5 1 2 ( *, *) ( *, *) ( 0, *) ( *, *) 1,3,4 (;,7/2_-3/2,5/2^-1/2) 3x6 3(25,34): 3 2 [C+,C-,C+,C+] 7 0 6 7 ( *, *) ( *, *) ( *, *) ( *, *) 2,1,4,2 (;,7/2_-3/2,5/2+,-1/2+) 4x9 4(35,32): 4 5 [C+,C-,C+,C+] 12 1 10 9 ( *, *) ( *, *) ( *, *) ( *, *) 2,1,3,4,2 (;,7/2^3/2,5/2-,1/2+) 3x11 5(35,33): 4 5 [C+,C-,C+,C+] 13 2 11 8 ( *, *) ( *, *) ( *, *) ( *, *) 2,1,3,4,2 (;,7/2_-1/2,5/2^-3/2) 2^10 6(37,31): 4 2 [C+,i2,C-,C+] 14 6 3 14 ( *, *) (10,11) ( *, *) ( *, *) 3,2,1,4,2,3 (;,7/2_1/2,5/2^3/2) 3x14 7(40,30): 4 2 [C-,rn,C+,C-] 3 7 14 3 ( *, *) ( *, *) ( *, *) ( *, *) 1,2,1,4,2,1 (;,7/2_1/2,-3/2-,-5/2+) 3x15 8(46,28): 5 5 [C+,rn,C+,C-] 18 8 15 5 ( *, *) ( *, *) ( *, *) ( *, *) 2,4,2,1,3,2,4 (;,7/2_1/2,5/2+,3/2-) 3x16 9(46,29): 5 5 [C+,rn,C+,C-] 17 9 16 4 ( *, *) ( *, *) ( *, *) ( *, *) 2,4,2,1,3,2,4 (;,7/2_-1/2,5/2+,-3/2-) 4x16 10(47,26): 5 5 [C+,r2,C-,C+] 19 11 4 16 ( *, *) ( 6, *) ( *, *) ( *, *) 3,2,1,3,4,2,3 (;,7/2^1/2,5/2-,3/2-) 1x20 11(47,27): 5 5 [C+,r2,C-,C+] 20 10 5 15 ( *, *) ( 6, *) ( *, *) ( *, *) 3,2,1,3,4,2,3 (;,5/2_-3/2,7/2-,-1/2+) 4x17 12(48,24): 5 5 [C-,rn,C+,C+] 4 12 19 17 ( *, *) ( *, *) ( *, *) ( *, *) 1,2,1,3,4,2,1 (;,5/2^3/2,7/2+,1/2+) 3x20 13(48,25): 5 5 [C-,rn,C+,C+] 5 13 20 18 ( *, *) ( *, *) ( *, *) ( *, *) 1,2,1,3,4,2,1 (;,7/2_3/2,5/2^1/2) 2x21 14(50,23): 5 2 [C-,C+,C-,C-] 6 21 7 6 ( *, *) ( *, *) ( *, *) ( *, *) 1,3,2,1,4,2,1,3 (;,7/2_3/2,-1/2+,-5/2+) 2x22 15(55,21): 6 5 [C+,C+,C-,C-] 27 22 8 11 ( *, *) ( *, *) ( *, *) ( *, *) 3,2,1,4,2,1,3,2,4 (;,7/2_3/2,5/2+,1/2+) 2x23 16(55,22): 6 5 [C+,C+,C-,C-] 26 23 9 10 ( *, *) ( *, *) ( *, *) ( *, *) 3,2,1,4,2,1,3,2,4 (;,5/2_1/2,7/2-,3/2-) 3x26 17(56,19): 6 5 [C-,C+,C+,C-] 9 24 26 12 ( *, *) ( *, *) ( *, *) ( *, *) 1,2,3,4,2,1,3,2,4 (;,5/2^-1/2,7/2+,-3/2-) 3x27 18(56,20): 6 5 [C-,C+,C+,C-] 8 25 27 13 ( *, *) ( *, *) ( *, *) ( *, *) 1,2,3,4,2,1,3,2,4 (;,5/2_-1/2,7/2-,-3/2-) 4x26 19(57,17): 6 5 [C-,C+,C-,C+] 10 28 12 26 ( *, *) ( *, *) ( *, *) ( *, *) 1,3,2,1,3,4,2,1,3 (;,5/2^1/2,7/2+,3/2-) 2x29 20(57,18): 6 5 [C-,C+,C-,C+] 11 29 13 27 ( *, *) ( *, *) ( *, *) ( *, *) 1,3,2,1,3,4,2,1,3 (;,7/2_5/2,3/2^1/2) 4^23 21(59,16): 6 2 [i2,C-,rn,i2] 21 14 21 21 (28,29) ( *, *) ( *, *) (22,23) 3,2,1,3,2,4,2,1,3,2 (;,7/2_5/2,-1/2+,-3/2-) 1^33 22(62,14): 7 5 [i2,C-,rn,r2] 22 15 22 23 (33,35) ( *, *) ( *, *) (21, *) 3,2,1,3,2,4,2,1,3,2,4 (;,7/2_5/2,3/2-,1/2+) 1^37 23(62,15): 7 5 [i2,C-,rn,r2] 23 16 23 22 (34,37) ( *, *) ( *, *) (21, *) 3,2,1,3,2,4,2,1,3,2,4 (;,3/2_1/2,7/2-,5/2+) 3^36 24(63,12): 7 5 [rn,C-,i2,rn] 24 17 24 24 ( *, *) ( *, *) (32,36) ( *, *) 1,2,1,3,2,4,2,1,3,2,4 (;,3/2^-1/2,7/2+,-5/2+) 3^31 25(63,13): 7 5 [rn,C-,i2,rn] 25 18 25 25 ( *, *) ( *, *) (30,31) ( *, *) 1,2,1,3,2,4,2,1,3,2,4 (;,5/2_3/2,7/2-,1/2+) 2^34 26(64,10): 7 5 [C-,i2,C-,C-] 16 26 17 19 ( *, *) (34,36) ( *, *) ( *, *) 1,3,2,1,3,4,2,1,3,2,4 (;,5/2^-3/2,7/2+,-1/2+) 2^33 27(64,11): 7 5 [C-,i2,C-,C-] 15 27 18 20 ( *, *) (31,33) ( *, *) ( *, *) 1,3,2,1,3,4,2,1,3,2,4 (;,3/2^1/2,7/2-,5/2-) 4^34 28(65, 8): 7 5 [r2,C-,rn,i2] 29 19 28 28 (21, *) ( *, *) ( *, *) (34,35) 1,3,2,1,3,2,4,2,1,3,2 (;,3/2^1/2,7/2+,5/2+) 4^37 29(65, 9): 7 5 [r2,C-,rn,i2] 28 20 29 29 (21, *) ( *, *) ( *, *) (33,37) 1,3,2,1,3,2,4,2,1,3,2 (;,7/2+,1/2+,-3/2-,-5/2+) 3x31 30(66, 0): 8 6 [rn,rn,r2,rn] 30 30 31 30 ( *, *) ( *, *) (25, *) ( *, *) 1,3,2,1,3,2,4,2,1,3,2,4 (;,7/2+,3/2-,-1/2+,-5/2+) 2x33 31(66, 1): 8 6 [rn,r2,r2,rn] 31 33 30 31 ( *, *) (27, *) (25, *) ( *, *) 1,3,2,1,3,2,4,2,1,3,2,4 (;,7/2-,5/2+,3/2-,1/2-) 3x36 32(66, 2): 8 6 [rn,rn,r2,rn] 32 32 36 32 ( *, *) ( *, *) (24, *) ( *, *) 1,3,2,1,3,2,4,2,1,3,2,4 (;,7/2+,5/2+,-1/2+,-3/2-) 4x37 33(66, 3): 8 6 [r2,r2,rn,r2] 35 31 33 37 (22, *) (27, *) ( *, *) (29, *) 1,3,2,1,3,2,4,2,1,3,2,4 (;,7/2-,5/2-,3/2-,1/2+) 1x37 34(66, 4): 8 6 [r2,r2,rn,r2] 37 36 34 35 (23, *) (26, *) ( *, *) (28, *) 1,3,2,1,3,2,4,2,1,3,2,4 (;,7/2-,5/2-,-1/2+,-3/2-) 4x34 35(66, 5): 8 6 [r2,rn,rn,r2] 33 35 35 34 (22, *) ( *, *) ( *, *) (28, *) 1,3,2,1,3,2,4,2,1,3,2,4 (;,7/2-,5/2+,3/2+,1/2+) 2x34 36(66, 6): 8 6 [rn,r2,r2,rn] 36 34 32 36 ( *, *) (26, *) (24, *) ( *, *) 1,3,2,1,3,2,4,2,1,3,2,4 (;,7/2+,5/2+,3/2-,1/2+) *** 37(66, 7): 8 6 [r2,rn,rn,r2] 34 37 37 33 (23, *) ( *, *) ( *, *) (29, *) 1,3,2,1,3,2,4,2,1,3,2,4 All parameters computed