# Semigroups up to size 4 Sgrp_count = [1, 5, 24, 188] # total = 218 Sgrp_index = [0, 1, 6, 30] Sgrp_list = [ Sgrp( num = 0, mult = [ [0]]), Sgrp( num = 1, mult = [ [0,0], [0,0]]), Sgrp( num = 2, mult = [ [0,0], [0,1]]), Sgrp( num = 3, mult = [ [0,0], [1,1]]), Sgrp( num = 4, mult = [ [0,1], [0,1]]), Sgrp( num = 5, mult = [ [0,1], [1,0]]), Sgrp( num = 6, mult = [ [0,0,0], [0,0,0], [0,0,0]]), Sgrp( num = 7, mult = [ [0,0,0], [0,0,0], [0,0,1]]), Sgrp( num = 8, mult = [ [0,0,0], [0,0,0], [0,0,2]]), Sgrp( num = 9, mult = [ [0,0,0], [0,0,0], [0,1,2]]), Sgrp( num = 10, mult = [ [0,0,0], [0,0,0], [2,2,2]]), Sgrp( num = 11, mult = [ [0,0,0], [0,0,1], [0,0,2]]), Sgrp( num = 12, mult = [ [0,0,0], [0,0,1], [0,1,2]]), Sgrp( num = 13, mult = [ [0,0,0], [0,1,0], [0,0,2]]), Sgrp( num = 14, mult = [ [0,0,0], [0,1,0], [2,2,2]]), Sgrp( num = 15, mult = [ [0,0,0], [0,1,1], [0,1,1]]), Sgrp( num = 16, mult = [ [0,0,0], [0,1,1], [0,1,2]]), Sgrp( num = 17, mult = [ [0,0,0], [0,1,1], [0,2,2]]), Sgrp( num = 18, mult = [ [0,0,0], [0,1,2], [0,1,2]]), Sgrp( num = 19, mult = [ [0,0,0], [0,1,2], [0,2,1]]), Sgrp( num = 20, mult = [ [0,0,0], [0,1,2], [2,2,2]]), Sgrp( num = 21, mult = [ [0,0,0], [1,1,1], [2,2,2]]), Sgrp( num = 22, mult = [ [0,0,2], [0,0,2], [0,0,2]]), Sgrp( num = 23, mult = [ [0,0,2], [0,0,2], [2,2,0]]), Sgrp( num = 24, mult = [ [0,0,2], [0,1,2], [0,0,2]]), Sgrp( num = 25, mult = [ [0,0,2], [0,1,2], [0,2,2]]), Sgrp( num = 26, mult = [ [0,0,2], [0,1,2], [2,2,0]]), Sgrp( num = 27, mult = [ [0,1,1], [1,0,0], [1,0,0]]), Sgrp( num = 28, mult = [ [0,1,2], [0,1,2], [0,1,2]]), Sgrp( num = 29, mult = [ [0,1,2], [1,2,0], [2,0,1]]), Sgrp( num = 30, mult = [ [0,0,0,0], [0,0,0,0], [0,0,0,0], [0,0,0,0]]), Sgrp( num = 31, mult = [ [0,0,0,0], [0,0,0,0], [0,0,0,0], [0,0,0,1]]), Sgrp( num = 32, mult = [ [0,0,0,0], [0,0,0,0], [0,0,0,0], [0,0,0,3]]), Sgrp( num = 33, mult = [ [0,0,0,0], [0,0,0,0], [0,0,0,0], [0,0,1,0]]), Sgrp( num = 34, mult = [ [0,0,0,0], [0,0,0,0], [0,0,0,0], [0,0,1,1]]), Sgrp( num = 35, mult = [ [0,0,0,0], [0,0,0,0], [0,0,0,0], [0,0,2,3]]), Sgrp( num = 36, mult = [ [0,0,0,0], [0,0,0,0], [0,0,0,0], [0,1,1,3]]), Sgrp( num = 37, mult = [ [0,0,0,0], [0,0,0,0], [0,0,0,0], [0,1,2,3]]), Sgrp( num = 38, mult = [ [0,0,0,0], [0,0,0,0], [0,0,0,0], [3,3,3,3]]), Sgrp( num = 39, mult = [ [0,0,0,0], [0,0,0,0], [0,0,0,1], [0,0,0,1]]), Sgrp( num = 40, mult = [ [0,0,0,0], [0,0,0,0], [0,0,0,1], [0,0,1,0]]), Sgrp( num = 41, mult = [ [0,0,0,0], [0,0,0,0], [0,0,0,1], [0,0,1,1]]), Sgrp( num = 42, mult = [ [0,0,0,0], [0,0,0,0], [0,0,0,1], [0,0,1,2]]), Sgrp( num = 43, mult = [ [0,0,0,0], [0,0,0,0], [0,0,0,2], [0,0,0,3]]), Sgrp( num = 44, mult = [ [0,0,0,0], [0,0,0,0], [0,0,0,2], [0,0,2,3]]), Sgrp( num = 45, mult = [ [0,0,0,0], [0,0,0,0], [0,0,0,2], [0,1,0,3]]), Sgrp( num = 46, mult = [ [0,0,0,0], [0,0,0,0], [0,0,0,2], [0,1,2,3]]), Sgrp( num = 47, mult = [ [0,0,0,0], [0,0,0,0], [0,0,1,0], [0,0,0,1]]), Sgrp( num = 48, mult = [ [0,0,0,0], [0,0,0,0], [0,0,1,0], [0,0,0,3]]), Sgrp( num = 49, mult = [ [0,0,0,0], [0,0,0,0], [0,0,1,0], [0,0,1,1]]), Sgrp( num = 50, mult = [ [0,0,0,0], [0,0,0,0], [0,0,1,0], [3,3,3,3]]), Sgrp( num = 51, mult = [ [0,0,0,0], [0,0,0,0], [0,0,1,1], [0,0,1,1]]), Sgrp( num = 52, mult = [ [0,0,0,0], [0,0,0,0], [0,0,2,0], [0,0,0,3]]), Sgrp( num = 53, mult = [ [0,0,0,0], [0,0,0,0], [0,0,2,0], [0,1,0,3]]), Sgrp( num = 54, mult = [ [0,0,0,0], [0,0,0,0], [0,0,2,0], [3,3,3,3]]), Sgrp( num = 55, mult = [ [0,0,0,0], [0,0,0,0], [0,0,2,2], [0,0,2,2]]), Sgrp( num = 56, mult = [ [0,0,0,0], [0,0,0,0], [0,0,2,2], [0,0,2,3]]), Sgrp( num = 57, mult = [ [0,0,0,0], [0,0,0,0], [0,0,2,2], [0,0,3,3]]), Sgrp( num = 58, mult = [ [0,0,0,0], [0,0,0,0], [0,0,2,2], [0,1,2,3]]), Sgrp( num = 59, mult = [ [0,0,0,0], [0,0,0,0], [0,0,2,3], [0,0,2,3]]), Sgrp( num = 60, mult = [ [0,0,0,0], [0,0,0,0], [0,0,2,3], [0,0,3,2]]), Sgrp( num = 61, mult = [ [0,0,0,0], [0,0,0,0], [0,0,2,3], [3,3,3,3]]), Sgrp( num = 62, mult = [ [0,0,0,0], [0,0,0,0], [0,1,2,0], [3,3,3,3]]), Sgrp( num = 63, mult = [ [0,0,0,0], [0,0,0,0], [0,1,2,2], [0,1,2,2]]), Sgrp( num = 64, mult = [ [0,0,0,0], [0,0,0,0], [0,1,2,2], [0,1,2,3]]), Sgrp( num = 65, mult = [ [0,0,0,0], [0,0,0,0], [0,1,2,2], [0,1,3,3]]), Sgrp( num = 66, mult = [ [0,0,0,0], [0,0,0,0], [0,1,2,3], [0,1,2,3]]), Sgrp( num = 67, mult = [ [0,0,0,0], [0,0,0,0], [0,1,2,3], [0,1,3,2]]), Sgrp( num = 68, mult = [ [0,0,0,0], [0,0,0,0], [0,1,2,3], [3,3,3,3]]), Sgrp( num = 69, mult = [ [0,0,0,0], [0,0,0,0], [2,2,2,2], [2,2,2,2]]), Sgrp( num = 70, mult = [ [0,0,0,0], [0,0,0,0], [2,2,2,2], [2,2,2,3]]), Sgrp( num = 71, mult = [ [0,0,0,0], [0,0,0,0], [2,2,2,2], [3,3,3,3]]), Sgrp( num = 72, mult = [ [0,0,0,0], [0,0,0,1], [0,0,0,1], [0,0,0,3]]), Sgrp( num = 73, mult = [ [0,0,0,0], [0,0,0,1], [0,0,0,1], [0,1,1,3]]), Sgrp( num = 74, mult = [ [0,0,0,0], [0,0,0,1], [0,0,0,1], [0,1,2,3]]), Sgrp( num = 75, mult = [ [0,0,0,0], [0,0,0,1], [0,0,0,2], [0,0,0,3]]), Sgrp( num = 76, mult = [ [0,0,0,0], [0,0,0,1], [0,0,0,2], [0,0,2,3]]), Sgrp( num = 77, mult = [ [0,0,0,0], [0,0,0,1], [0,0,0,2], [0,1,1,3]]), Sgrp( num = 78, mult = [ [0,0,0,0], [0,0,0,1], [0,0,0,2], [0,1,2,3]]), Sgrp( num = 79, mult = [ [0,0,0,0], [0,0,0,1], [0,0,1,2], [0,1,2,3]]), Sgrp( num = 80, mult = [ [0,0,0,0], [0,0,0,1], [0,0,2,0], [0,0,0,3]]), Sgrp( num = 81, mult = [ [0,0,0,0], [0,0,0,1], [0,0,2,0], [0,1,0,3]]), Sgrp( num = 82, mult = [ [0,0,0,0], [0,0,0,1], [0,0,2,2], [0,0,2,3]]), Sgrp( num = 83, mult = [ [0,0,0,0], [0,0,0,1], [0,0,2,2], [0,1,2,3]]), Sgrp( num = 84, mult = [ [0,0,0,0], [0,0,0,1], [0,1,2,0], [0,0,0,3]]), Sgrp( num = 85, mult = [ [0,0,0,0], [0,0,0,1], [0,1,2,1], [0,0,0,3]]), Sgrp( num = 86, mult = [ [0,0,0,0], [0,0,0,1], [0,1,2,2], [0,1,2,3]]), Sgrp( num = 87, mult = [ [0,0,0,0], [0,0,0,1], [2,2,2,2], [0,0,0,3]]), Sgrp( num = 88, mult = [ [0,0,0,0], [0,0,0,1], [2,2,2,2], [0,0,2,3]]), Sgrp( num = 89, mult = [ [0,0,0,0], [0,0,0,1], [2,2,2,2], [0,1,0,3]]), Sgrp( num = 90, mult = [ [0,0,0,0], [0,0,0,1], [2,2,2,2], [0,1,2,3]]), Sgrp( num = 91, mult = [ [0,0,0,0], [0,0,0,1], [2,2,2,2], [2,2,2,3]]), Sgrp( num = 92, mult = [ [0,0,0,0], [0,0,0,2], [2,2,2,2], [3,3,3,3]]), Sgrp( num = 93, mult = [ [0,0,0,0], [0,0,1,1], [0,0,2,2], [0,0,2,2]]), Sgrp( num = 94, mult = [ [0,0,0,0], [0,0,1,1], [0,0,2,2], [0,0,2,3]]), Sgrp( num = 95, mult = [ [0,0,0,0], [0,0,1,1], [0,0,2,2], [0,0,3,3]]), Sgrp( num = 96, mult = [ [0,0,0,0], [0,0,1,1], [0,0,2,2], [0,1,2,3]]), Sgrp( num = 97, mult = [ [0,0,0,0], [0,0,1,1], [0,0,2,3], [0,0,2,3]]), Sgrp( num = 98, mult = [ [0,0,0,0], [0,0,1,1], [0,0,2,3], [0,0,3,2]]), Sgrp( num = 99, mult = [ [0,0,0,0], [0,0,1,1], [0,1,2,2], [0,1,2,2]]), Sgrp( num = 100, mult = [ [0,0,0,0], [0,0,1,1], [0,1,2,2], [0,1,2,3]]), Sgrp( num = 101, mult = [ [0,0,0,0], [0,0,1,1], [0,1,2,2], [0,1,3,3]]), Sgrp( num = 102, mult = [ [0,0,0,0], [0,0,1,1], [0,1,2,3], [0,1,2,3]]), Sgrp( num = 103, mult = [ [0,0,0,0], [0,0,1,1], [0,1,2,3], [0,1,3,2]]), Sgrp( num = 104, mult = [ [0,0,0,0], [0,1,0,0], [0,0,2,0], [0,0,0,3]]), Sgrp( num = 105, mult = [ [0,0,0,0], [0,1,0,0], [0,0,2,0], [3,3,3,3]]), Sgrp( num = 106, mult = [ [0,0,0,0], [0,1,0,0], [0,0,2,2], [0,0,2,2]]), Sgrp( num = 107, mult = [ [0,0,0,0], [0,1,0,0], [0,0,2,2], [0,0,2,3]]), Sgrp( num = 108, mult = [ [0,0,0,0], [0,1,0,0], [0,0,2,2], [0,0,3,3]]), Sgrp( num = 109, mult = [ [0,0,0,0], [0,1,0,0], [0,0,2,3], [0,0,2,3]]), Sgrp( num = 110, mult = [ [0,0,0,0], [0,1,0,0], [0,0,2,3], [0,0,3,2]]), Sgrp( num = 111, mult = [ [0,0,0,0], [0,1,0,0], [0,0,2,3], [3,3,3,3]]), Sgrp( num = 112, mult = [ [0,0,0,0], [0,1,0,0], [2,2,2,2], [2,2,2,3]]), Sgrp( num = 113, mult = [ [0,0,0,0], [0,1,0,0], [2,2,2,2], [3,3,3,3]]), Sgrp( num = 114, mult = [ [0,0,0,0], [0,1,0,1], [0,0,2,2], [0,1,2,3]]), Sgrp( num = 115, mult = [ [0,0,0,0], [0,1,0,1], [2,2,2,2], [0,1,0,1]]), Sgrp( num = 116, mult = [ [0,0,0,0], [0,1,0,1], [2,2,2,2], [0,1,0,3]]), Sgrp( num = 117, mult = [ [0,0,0,0], [0,1,0,1], [2,2,2,2], [0,1,2,3]]), Sgrp( num = 118, mult = [ [0,0,0,0], [0,1,0,1], [2,2,2,2], [0,3,0,3]]), Sgrp( num = 119, mult = [ [0,0,0,0], [0,1,0,1], [2,2,2,2], [2,3,2,3]]), Sgrp( num = 120, mult = [ [0,0,0,0], [0,1,0,3], [2,2,2,2], [0,1,0,3]]), Sgrp( num = 121, mult = [ [0,0,0,0], [0,1,0,3], [2,2,2,2], [0,3,0,1]]), Sgrp( num = 122, mult = [ [0,0,0,0], [0,1,0,3], [2,2,2,2], [3,3,3,3]]), Sgrp( num = 123, mult = [ [0,0,0,0], [0,1,1,1], [0,1,1,1], [0,1,1,1]]), Sgrp( num = 124, mult = [ [0,0,0,0], [0,1,1,1], [0,1,1,1], [0,1,1,2]]), Sgrp( num = 125, mult = [ [0,0,0,0], [0,1,1,1], [0,1,1,1], [0,1,1,3]]), Sgrp( num = 126, mult = [ [0,0,0,0], [0,1,1,1], [0,1,1,1], [0,1,2,3]]), Sgrp( num = 127, mult = [ [0,0,0,0], [0,1,1,1], [0,1,1,1], [0,3,3,3]]), Sgrp( num = 128, mult = [ [0,0,0,0], [0,1,1,1], [0,1,1,2], [0,1,1,3]]), Sgrp( num = 129, mult = [ [0,0,0,0], [0,1,1,1], [0,1,1,2], [0,1,2,3]]), Sgrp( num = 130, mult = [ [0,0,0,0], [0,1,1,1], [0,1,2,1], [0,1,1,3]]), Sgrp( num = 131, mult = [ [0,0,0,0], [0,1,1,1], [0,1,2,1], [0,3,3,3]]), Sgrp( num = 132, mult = [ [0,0,0,0], [0,1,1,1], [0,1,2,2], [0,1,2,2]]), Sgrp( num = 133, mult = [ [0,0,0,0], [0,1,1,1], [0,1,2,2], [0,1,2,3]]), Sgrp( num = 134, mult = [ [0,0,0,0], [0,1,1,1], [0,1,2,2], [0,1,3,3]]), Sgrp( num = 135, mult = [ [0,0,0,0], [0,1,1,1], [0,1,2,3], [0,1,2,3]]), Sgrp( num = 136, mult = [ [0,0,0,0], [0,1,1,1], [0,1,2,3], [0,1,3,2]]), Sgrp( num = 137, mult = [ [0,0,0,0], [0,1,1,1], [0,1,2,3], [0,3,3,3]]), Sgrp( num = 138, mult = [ [0,0,0,0], [0,1,1,1], [0,2,2,2], [0,3,3,3]]), Sgrp( num = 139, mult = [ [0,0,0,0], [0,1,1,3], [0,1,1,3], [0,1,1,3]]), Sgrp( num = 140, mult = [ [0,0,0,0], [0,1,1,3], [0,1,1,3], [0,3,3,1]]), Sgrp( num = 141, mult = [ [0,0,0,0], [0,1,1,3], [0,1,1,3], [3,3,3,3]]), Sgrp( num = 142, mult = [ [0,0,0,0], [0,1,1,3], [0,1,2,3], [0,1,1,3]]), Sgrp( num = 143, mult = [ [0,0,0,0], [0,1,1,3], [0,1,2,3], [0,1,3,3]]), Sgrp( num = 144, mult = [ [0,0,0,0], [0,1,1,3], [0,1,2,3], [0,3,3,1]]), Sgrp( num = 145, mult = [ [0,0,0,0], [0,1,1,3], [0,1,2,3], [3,3,3,3]]), Sgrp( num = 146, mult = [ [0,0,0,0], [0,1,1,3], [0,2,2,3], [3,3,3,3]]), Sgrp( num = 147, mult = [ [0,0,0,0], [0,1,2,2], [0,2,1,1], [0,2,1,1]]), Sgrp( num = 148, mult = [ [0,0,0,0], [0,1,2,3], [0,1,2,3], [0,1,2,3]]), Sgrp( num = 149, mult = [ [0,0,0,0], [0,1,2,3], [0,1,2,3], [3,3,3,3]]), Sgrp( num = 150, mult = [ [0,0,0,0], [0,1,2,3], [0,2,1,3], [3,3,3,3]]), Sgrp( num = 151, mult = [ [0,0,0,0], [0,1,2,3], [0,2,3,1], [0,3,1,2]]), Sgrp( num = 152, mult = [ [0,0,0,0], [0,1,2,3], [2,2,2,2], [2,3,0,1]]), Sgrp( num = 153, mult = [ [0,0,0,0], [0,1,2,3], [2,2,2,2], [3,3,3,3]]), Sgrp( num = 154, mult = [ [0,0,0,0], [1,1,1,1], [2,2,2,2], [3,3,3,3]]), Sgrp( num = 155, mult = [ [0,0,0,3], [0,0,0,3], [0,0,0,3], [0,0,0,3]]), Sgrp( num = 156, mult = [ [0,0,0,3], [0,0,0,3], [0,0,0,3], [3,3,3,0]]), Sgrp( num = 157, mult = [ [0,0,0,3], [0,0,0,3], [0,0,1,3], [0,0,0,3]]), Sgrp( num = 158, mult = [ [0,0,0,3], [0,0,0,3], [0,0,1,3], [3,3,3,0]]), Sgrp( num = 159, mult = [ [0,0,0,3], [0,0,0,3], [0,0,2,3], [0,0,0,3]]), Sgrp( num = 160, mult = [ [0,0,0,3], [0,0,0,3], [0,0,2,3], [0,0,3,3]]), Sgrp( num = 161, mult = [ [0,0,0,3], [0,0,0,3], [0,0,2,3], [3,3,3,0]]), Sgrp( num = 162, mult = [ [0,0,0,3], [0,0,0,3], [0,1,2,3], [0,0,0,3]]), Sgrp( num = 163, mult = [ [0,0,0,3], [0,0,0,3], [0,1,2,3], [0,0,3,3]]), Sgrp( num = 164, mult = [ [0,0,0,3], [0,0,0,3], [0,1,2,3], [3,3,3,0]]), Sgrp( num = 165, mult = [ [0,0,0,3], [0,0,1,3], [0,0,2,3], [0,0,0,3]]), Sgrp( num = 166, mult = [ [0,0,0,3], [0,0,1,3], [0,0,2,3], [0,0,3,3]]), Sgrp( num = 167, mult = [ [0,0,0,3], [0,0,1,3], [0,0,2,3], [3,3,3,0]]), Sgrp( num = 168, mult = [ [0,0,0,3], [0,0,1,3], [0,1,2,3], [0,0,0,3]]), Sgrp( num = 169, mult = [ [0,0,0,3], [0,0,1,3], [0,1,2,3], [0,0,3,3]]), Sgrp( num = 170, mult = [ [0,0,0,3], [0,0,1,3], [0,1,2,3], [3,3,3,0]]), Sgrp( num = 171, mult = [ [0,0,0,3], [0,1,0,3], [0,0,2,3], [0,0,0,3]]), Sgrp( num = 172, mult = [ [0,0,0,3], [0,1,0,3], [0,0,2,3], [0,0,3,3]]), Sgrp( num = 173, mult = [ [0,0,0,3], [0,1,0,3], [0,0,2,3], [3,3,3,0]]), Sgrp( num = 174, mult = [ [0,0,0,3], [0,1,1,3], [0,1,1,3], [0,0,0,3]]), Sgrp( num = 175, mult = [ [0,0,0,3], [0,1,1,3], [0,1,1,3], [0,3,3,3]]), Sgrp( num = 176, mult = [ [0,0,0,3], [0,1,1,3], [0,1,1,3], [3,3,3,0]]), Sgrp( num = 177, mult = [ [0,0,0,3], [0,1,1,3], [0,1,2,3], [0,0,0,3]]), Sgrp( num = 178, mult = [ [0,0,0,3], [0,1,1,3], [0,1,2,3], [0,0,3,3]]), Sgrp( num = 179, mult = [ [0,0,0,3], [0,1,1,3], [0,1,2,3], [0,3,3,3]]), Sgrp( num = 180, mult = [ [0,0,0,3], [0,1,1,3], [0,1,2,3], [3,3,3,0]]), Sgrp( num = 181, mult = [ [0,0,0,3], [0,1,1,3], [0,2,2,3], [0,0,0,3]]), Sgrp( num = 182, mult = [ [0,0,0,3], [0,1,1,3], [0,2,2,3], [0,3,3,3]]), Sgrp( num = 183, mult = [ [0,0,0,3], [0,1,1,3], [0,2,2,3], [3,3,3,0]]), Sgrp( num = 184, mult = [ [0,0,0,3], [0,1,2,3], [0,1,2,3], [0,0,0,3]]), Sgrp( num = 185, mult = [ [0,0,0,3], [0,1,2,3], [0,1,2,3], [0,3,3,3]]), Sgrp( num = 186, mult = [ [0,0,0,3], [0,1,2,3], [0,1,2,3], [3,3,3,0]]), Sgrp( num = 187, mult = [ [0,0,0,3], [0,1,2,3], [0,2,1,3], [0,0,0,3]]), Sgrp( num = 188, mult = [ [0,0,0,3], [0,1,2,3], [0,2,1,3], [0,3,3,3]]), Sgrp( num = 189, mult = [ [0,0,0,3], [0,1,2,3], [0,2,1,3], [3,3,3,0]]), Sgrp( num = 190, mult = [ [0,0,2,2], [0,0,2,2], [0,0,2,2], [0,0,2,2]]), Sgrp( num = 191, mult = [ [0,0,2,2], [0,0,2,2], [0,0,2,2], [0,0,2,3]]), Sgrp( num = 192, mult = [ [0,0,2,2], [0,0,2,2], [0,0,2,2], [0,1,2,3]]), Sgrp( num = 193, mult = [ [0,0,2,2], [0,0,2,2], [2,2,0,0], [2,2,0,0]]), Sgrp( num = 194, mult = [ [0,0,2,2], [0,0,2,2], [2,2,0,0], [2,2,0,1]]), Sgrp( num = 195, mult = [ [0,0,2,2], [0,1,2,2], [0,0,2,2], [0,0,2,3]]), Sgrp( num = 196, mult = [ [0,0,2,2], [0,1,2,2], [2,2,0,0], [2,2,0,0]]), Sgrp( num = 197, mult = [ [0,0,2,2], [0,1,2,2], [2,2,0,0], [2,3,0,0]]), Sgrp( num = 198, mult = [ [0,0,2,2], [0,1,2,3], [0,0,2,2], [0,1,2,3]]), Sgrp( num = 199, mult = [ [0,0,2,2], [0,1,2,3], [0,2,2,0], [0,3,2,1]]), Sgrp( num = 200, mult = [ [0,0,2,2], [0,1,2,3], [2,2,0,0], [2,2,0,0]]), Sgrp( num = 201, mult = [ [0,0,2,2], [0,1,2,3], [2,2,0,0], [2,3,0,0]]), Sgrp( num = 202, mult = [ [0,0,2,2], [0,1,2,3], [2,2,0,0], [2,3,0,1]]), Sgrp( num = 203, mult = [ [0,0,2,2], [1,1,3,3], [0,0,2,2], [1,1,3,3]]), Sgrp( num = 204, mult = [ [0,0,2,2], [1,1,3,3], [2,2,0,0], [3,3,1,1]]), Sgrp( num = 205, mult = [ [0,0,2,3], [0,0,2,3], [0,0,2,3], [0,0,2,3]]), Sgrp( num = 206, mult = [ [0,0,2,3], [0,0,2,3], [0,0,2,3], [0,2,2,3]]), Sgrp( num = 207, mult = [ [0,0,2,3], [0,0,2,3], [2,2,3,0], [3,3,0,2]]), Sgrp( num = 208, mult = [ [0,0,2,3], [0,1,2,3], [0,0,2,3], [0,0,2,3]]), Sgrp( num = 209, mult = [ [0,0,2,3], [0,1,2,3], [0,0,2,3], [0,3,2,3]]), Sgrp( num = 210, mult = [ [0,0,2,3], [0,1,2,3], [0,2,2,3], [0,3,2,3]]), Sgrp( num = 211, mult = [ [0,0,2,3], [0,1,2,3], [2,2,3,0], [3,3,0,2]]), Sgrp( num = 212, mult = [ [0,1,1,1], [1,0,0,0], [1,0,0,0], [1,0,0,0]]), Sgrp( num = 213, mult = [ [0,1,1,3], [1,3,3,0], [1,3,3,0], [3,0,0,1]]), Sgrp( num = 214, mult = [ [0,1,2,3], [0,1,2,3], [0,1,2,3], [0,1,2,3]]), Sgrp( num = 215, mult = [ [0,1,2,3], [0,1,2,3], [2,3,0,1], [2,3,0,1]]), Sgrp( num = 216, mult = [ [0,1,2,3], [1,0,3,2], [2,3,0,1], [3,2,1,0]]), Sgrp( num = 217, mult = [ [0,1,2,3], [1,0,3,2], [2,3,1,0], [3,2,0,1]])] # Computed with SAGE Version 2.1.4 on 2007-04-15 # This file can be used in SAGE or Python with execfile("filename")