\\ Left Cell Data for A5 (CC 2012, B. Binegar) \\ \\ This file contains a table of data for the 76 left cells of the Weyl \\ group W of A5. Each line below corresponds to a particular left cell \\ of W. The datums held in the (colon-delimited) columns are as follows: \\ Column Contents \\ 1 KLatlas index (order of discovery by KLatlas, counting from 0) \\ 2 number of Weyl group elements in the left cell \\ 3 Weyl group elements contained in the left cell (as enumerated by KLatlas, counting from 0) \\ 4 KLatlas indices of the left cells immediately below the left cell in the W-graph of W \\ 5 representation of W carried by left cell (in terms of partitions for the classical Weyl groups and \\ or R. Carter's notation for the irreducible representations of the exceptional Weyl groups) \\ 6 special representation of W attached to the cell \\ 7 special nilpotent orbit attached to the left cell (in terms of partitions for the nilpotent orbits of \\ classical groups or Bala-Carter notation for the nilpotent orbits of the exceptional groups \\ 8 KLatlas block index of the unique Duflo involution contained in the left cell \\ 9 KLatlas cell index of the unique Duflo involution contained in the left cell \\ 10 reduced word expression for the unique Duflo involution contained in the left cell \\ 11 A-value of the unique Duflo involution contained in the left cell \\ 12 tau-infinity invariant of primitive ideal attached to the left cell \\ 0 : 76 : 0 : [0, 0] : phi[6] : phi[6] : [6] : 0 : 0 : e : 0 : [{{}}, {}, {}, {}] 1 : 76 : 1 : [1, 0] : phi[5,1] : phi[5,1] : [5, 1] : 1 : 0 : 5 : 1 : [{{5}}, {{4}}, {{3}, {5}}, {{2}, {4}}] 2 : 76 : 2 : [2, 0] : phi[5,1] : phi[5,1] : [5, 1] : 2 : 0 : 4 : 1 : [{{4}}, {{3}, {5}}, {{2}, {4}}, {{1}, {3}, {5}}] 3 : 76 : 3 : [3, 0] : phi[5,1] : phi[5,1] : [5, 1] : 3 : 0 : 3 : 1 : [{{3}}, {{2}, {4}}, {{1}, {3}, {5}}, {{2}, {4}}] 4 : 76 : 4 : [4, 0] : phi[5,1] : phi[5,1] : [5, 1] : 4 : 0 : 2 : 1 : [{{2}}, {{1}, {3}}, {{2}, {4}}, {{1}, {3}, {5}}] 5 : 76 : 5 : [5, 0] : phi[5,1] : phi[5,1] : [5, 1] : 5 : 0 : 1 : 1 : [{{1}}, {{2}}, {{1}, {3}}, {{2}, {4}}] 6 : 76 : 9 : [6, 0] : phi[4,2] : phi[4,2] : [4, 2] : 9 : 0 : 35 : 2 : [{{3, 5}}, {{3}, {4}, {2, 5}}, {{2, 4}, {1, 5}, {3, 5}}, {{2}, {3}, {4}, {1, 4}, {2, 5}}] 7 : 76 : 12 : [7, 0] : phi[4,2] : phi[4,2] : [4, 2] : 12 : 0 : 25 : 2 : [{{2, 5}}, {{2, 4}, {1, 5}, {3, 5}}, {{2}, {3}, {4}, {1, 4}, {2, 5}}, {{1, 3}, {2, 4}, {1, 5}, {3, 5}}] 8 : 76 : 13 : [8, 0] : phi[4,2] : phi[4,2] : [4, 2] : 13 : 0 : 24 : 2 : [{{2, 4}}, {{2}, {3}, {4}, {1, 4}, {2, 5}}, {{1, 3}, {2, 4}, {1, 5}, {3, 5}}, {{2}, {3}, {4}, {1, 4}, {2, 5}}] 9 : 76 : 16 : [9, 0] : phi[4,2] : phi[4,2] : [4, 2] : 16 : 0 : 15 : 2 : [{{1, 5}}, {{1, 4}, {2, 5}}, {{1, 3}, {2, 4}, {1, 5}, {3, 5}}, {{2}, {3}, {4}, {1, 4}, {2, 5}}] 10 : 76 : 17 : [10, 0] : phi[4,2] : phi[4,2] : [4, 2] : 17 : 0 : 14 : 2 : [{{1, 4}}, {{1, 3}, {2, 4}, {1, 5}}, {{2}, {3}, {4}, {1, 4}, {2, 5}}, {{1, 3}, {2, 4}, {1, 5}, {3, 5}}] 11 : 76 : 18 : [11, 0] : phi[4,2] : phi[4,2] : [4, 2] : 18 : 0 : 13 : 2 : [{{1, 3}}, {{2}, {3}, {1, 4}}, {{1, 3}, {2, 4}, {1, 5}}, {{2}, {3}, {4}, {1, 4}, {2, 5}}] 12 : 76 : 51 : [12, 1] : phi[4,2] : phi[4,2] : [4, 2] : 51 : 1 : 4354 : 2 : [{{4}}, {{3, 5}}, {{3}, {4}, {2, 5}}, {{2, 4}, {1, 5}, {3, 5}}] 13 : 76 : 21 : [13, 0] : phi[4,1,1] : phi[4,1,1] : [4, 1, 1] : 21 : 0 : 454 : 3 : [{{4, 5}}, {{3, 5}}, {{2, 5}, {3, 4}, {4, 5}}, {{2, 4}, {1, 5}, {3, 5}}] 14 : 76 : 60 : [14, 1] : phi[4,2] : phi[4,2] : [4, 2] : 60 : 1 : 3243 : 2 : [{{3}}, {{2, 4}}, {{2}, {3}, {4}, {1, 4}, {2, 5}}, {{1, 3}, {2, 4}, {1, 5}, {3, 5}}] 15 : 76 : 26 : [15, 0] : phi[4,1,1] : phi[4,1,1] : [4, 1, 1] : 26 : 0 : 343 : 3 : [{{3, 4}}, {{2, 4}, {3, 5}}, {{1, 4}, {2, 5}, {2, 3}, {3, 4}, {4, 5}}, {{1, 3}, {2, 4}, {1, 5}, {3, 5}}] 16 : 76 : 78 : [16, 1] : phi[4,2] : phi[4,2] : [4, 2] : 78 : 1 : 2132 : 2 : [{{2}}, {{1, 3}}, {{2}, {3}, {1, 4}}, {{1, 3}, {2, 4}, {1, 5}}] 17 : 76 : 35 : [17, 0] : phi[4,1,1] : phi[4,1,1] : [4, 1, 1] : 35 : 0 : 232 : 3 : [{{2, 3}}, {{1, 3}, {2, 4}}, {{1, 4}, {2, 5}, {1, 2}, {2, 3}, {3, 4}}, {{1, 3}, {2, 4}, {1, 5}, {3, 5}}] 18 : 76 : 42 : [18, 0] : phi[3,3] : phi[3,3] : [3, 3] : 42 : 0 : 135 : 3 : [{{1, 3, 5}}, {{3}, {1, 4}, {2, 5}}, {{2, 4}, {1, 3, 5}}, {{3}, {1, 4}, {2, 5}}] 19 : 76 : 48 : [19, 0] : phi[4,1,1] : phi[4,1,1] : [4, 1, 1] : 48 : 0 : 121 : 3 : [{{1, 2}}, {{1, 3}}, {{1, 4}, {1, 2}, {2, 3}}, {{1, 3}, {2, 4}, {1, 5}}] 20 : 76 : 104 : [20, 2] : phi[4,1,1] : phi[4,1,1] : [4, 1, 1] : 104 : 2 : 34543 : 3 : [{{3, 5}}, {{2, 5}, {3, 4}, {4, 5}}, {{2, 4}, {1, 5}, {3, 5}}, {{1, 4}, {2, 5}, {2, 3}, {3, 4}, {4, 5}}] 21 : 76 : 123 : [21, 3] : phi[4,1,1] : phi[4,1,1] : [4, 1, 1] : 123 : 3 : 23432 : 3 : [{{2, 4}}, {{1, 4}, {2, 5}, {2, 3}, {3, 4}}, {{1, 3}, {2, 4}, {1, 5}, {3, 5}}, {{1, 4}, {2, 5}, {1, 2}, {2, 3}, {3, 4}, {4, 5}}] 22 : 76 : 281 : [22, 6] : phi[4,1,1] : phi[4,1,1] : [4, 1, 1] : 281 : 6 : 2345432 : 3 : [{{2, 5}}, {{2, 4}, {1, 5}, {3, 5}}, {{1, 4}, {2, 5}, {2, 3}, {3, 4}, {4, 5}}, {{1, 3}, {2, 4}, {1, 5}, {3, 5}}] 23 : 76 : 297 : [23, 3] : phi[3,3] : phi[3,3] : [3, 3] : 297 : 3 : 2143254 : 3 : [{{2, 4}}, {{3}, {1, 4}, {2, 5}}, {{2, 4}, {1, 3, 5}}, {{3}, {1, 4}, {2, 5}}] 24 : 76 : 64 : [24, 0] : phi[3,2,1] : phi[3,2,1] : [3, 2, 1] : 64 : 0 : 2454 : 4 : [{{2, 4, 5}}, {{2, 4}, {2, 5}, {3, 5}, {1, 4, 5}}, {{1, 4}, {2, 4}, {3, 4}, {1, 3, 5}, {2, 3, 5}, {2, 4, 5}}, {{2, 4}, {2, 5}, {3, 5}, {2, 3}, {1, 3, 5}, {1, 3, 4}, {1, 4, 5}}] 25 : 76 : 136 : [25, 1] : phi[3,3] : phi[3,3] : [3, 3] : 136 : 1 : 21325 : 3 : [{{2, 5}}, {{2, 4}, {1, 3, 5}}, {{3}, {1, 4}, {2, 5}}, {{2, 4}, {1, 3, 5}}] 26 : 76 : 469 : [26, 4] : phi[3,3] : phi[3,3] : [3, 3] : 469 : 4 : 321432543 : 3 : [{{3}}, {{2, 4}}, {{3}, {1, 4}, {2, 5}}, {{2, 4}, {1, 3, 5}}] 27 : 76 : 70 : [27, 0] : phi[3,2,1] : phi[3,2,1] : [3, 2, 1] : 70 : 0 : 2325 : 4 : [{{2, 3, 5}}, {{2, 4}, {2, 5}, {3, 5}, {2, 3}, {1, 3, 5}}, {{1, 3}, {1, 4}, {2, 4}, {3, 4}, {1, 3, 5}, {1, 2, 5}, {2, 3, 5}, {2, 4, 5}}, {{2, 4}, {2, 5}, {3, 5}, {2, 3}, {1, 3, 5}, {1, 2, 4}, {1, 3, 4}, {1, 4, 5}}] 28 : 76 : 162 : [28, 3] : phi[4,1,1] : phi[4,1,1] : [4, 1, 1] : 162 : 3 : 12321 : 3 : [{{1, 3}}, {{1, 4}, {1, 2}, {2, 3}}, {{1, 3}, {2, 4}, {1, 5}}, {{1, 4}, {2, 5}, {1, 2}, {2, 3}, {3, 4}}] 29 : 76 : 519 : [29, 9] : phi[4,1,1] : phi[4,1,1] : [4, 1, 1] : 519 : 9 : 123454321 : 3 : [{{1, 5}}, {{1, 4}, {2, 5}}, {{1, 3}, {2, 4}, {1, 5}, {3, 5}}, {{1, 4}, {2, 5}, {1, 2}, {2, 3}, {3, 4}, {4, 5}}] 30 : 76 : 141 : [30, 2] : phi[3,3] : phi[3,3] : [3, 3] : 141 : 2 : 14354 : 3 : [{{1, 4}}, {{2, 4}, {1, 3, 5}}, {{3}, {1, 4}, {2, 5}}, {{2, 4}, {1, 3, 5}}] 31 : 76 : 80 : [31, 0] : phi[3,2,1] : phi[3,2,1] : [3, 2, 1] : 80 : 0 : 1454 : 4 : [{{1, 4, 5}}, {{1, 4}, {1, 3, 5}, {2, 4, 5}}, {{2, 4}, {2, 5}, {3, 5}, {1, 3, 5}, {1, 3, 4}, {1, 4, 5}}, {{1, 3}, {1, 4}, {2, 4}, {3, 4}, {1, 3, 5}, {1, 2, 5}, {2, 3, 5}, {2, 4, 5}}] 32 : 76 : 338 : [32, 8] : phi[4,1,1] : phi[4,1,1] : [4, 1, 1] : 338 : 8 : 1234321 : 3 : [{{1, 4}}, {{1, 3}, {2, 4}, {1, 5}}, {{1, 4}, {2, 5}, {1, 2}, {2, 3}, {3, 4}}, {{1, 3}, {2, 4}, {1, 5}, {3, 5}}] 33 : 76 : 85 : [33, 0] : phi[3,2,1] : phi[3,2,1] : [3, 2, 1] : 85 : 0 : 1343 : 4 : [{{1, 3, 4}}, {{1, 3}, {1, 4}, {2, 4}, {3, 4}, {1, 3, 5}}, {{2, 4}, {2, 5}, {3, 5}, {2, 3}, {1, 3, 5}, {1, 2, 4}, {1, 3, 4}, {1, 4, 5}}, {{1, 3}, {1, 4}, {2, 4}, {3, 4}, {1, 3, 5}, {1, 2, 5}, {2, 3, 5}, {2, 4, 5}}] 34 : 76 : 95 : [34, 0] : phi[3,2,1] : phi[3,2,1] : [3, 2, 1] : 95 : 0 : 1215 : 4 : [{{1, 2, 5}}, {{2, 5}, {1, 3, 5}, {1, 2, 4}}, {{1, 3}, {1, 4}, {2, 4}, {1, 3, 5}, {1, 2, 5}, {2, 3, 5}}, {{2, 4}, {2, 5}, {3, 5}, {2, 3}, {1, 3, 5}, {1, 2, 4}, {1, 3, 4}, {1, 4, 5}}] 35 : 76 : 96 : [35, 0] : phi[3,2,1] : phi[3,2,1] : [3, 2, 1] : 96 : 0 : 1214 : 4 : [{{1, 2, 4}}, {{1, 3}, {1, 4}, {2, 4}, {1, 2, 5}}, {{2, 4}, {2, 5}, {2, 3}, {1, 3, 5}, {1, 2, 4}, {1, 3, 4}}, {{1, 3}, {1, 4}, {2, 4}, {3, 4}, {1, 3, 5}, {1, 2, 5}, {2, 3, 5}}] 36 : 76 : 179 : [36, 1] : phi[3,2,1] : phi[3,2,1] : [3, 2, 1] : 179 : 1 : 324543 : 4 : [{{3, 5}}, {{3, 4}, {2, 4, 5}}, {{2, 4}, {2, 5}, {3, 5}, {1, 4, 5}}, {{1, 4}, {2, 4}, {3, 4}, {1, 3, 5}, {2, 3, 5}, {2, 4, 5}}] 37 : 76 : 190 : [37, 1] : phi[3,2,1] : phi[3,2,1] : [3, 2, 1] : 190 : 1 : 243254 : 4 : [{{2, 4}}, {{1, 4}, {3, 4}, {2, 3, 5}}, {{2, 4}, {2, 5}, {3, 5}, {2, 3}, {1, 3, 5}}, {{1, 3}, {1, 4}, {2, 4}, {3, 4}, {1, 3, 5}, {1, 2, 5}, {2, 3, 5}, {2, 4, 5}}] 38 : 76 : 247 : [38, 3] : phi[3,2,1] : phi[3,2,1] : [3, 2, 1] : 247 : 3 : 123215 : 4 : [{{1, 3, 5}}, {{1, 3}, {1, 4}, {1, 2, 5}, {2, 3, 5}}, {{2, 4}, {2, 5}, {3, 5}, {2, 3}, {1, 3, 5}, {1, 2, 4}}, {{1, 3}, {1, 4}, {2, 4}, {3, 4}, {1, 3, 5}, {1, 2, 5}, {2, 3, 5}, {2, 4, 5}}] 39 : 76 : 224 : [39, 4] : phi[3,2,1] : phi[3,2,1] : [3, 2, 1] : 224 : 4 : 134543 : 4 : [{{1, 3, 5}}, {{2, 5}, {3, 5}, {1, 3, 4}, {1, 4, 5}}, {{1, 3}, {1, 4}, {2, 4}, {3, 4}, {1, 3, 5}, {2, 4, 5}}, {{2, 4}, {2, 5}, {3, 5}, {2, 3}, {1, 3, 5}, {1, 2, 4}, {1, 3, 4}, {1, 4, 5}}] 40 : 76 : 212 : [40, 1] : phi[3,2,1] : phi[3,2,1] : [3, 2, 1] : 212 : 1 : 213432 : 4 : [{{2, 4}}, {{2, 5}, {2, 3}, {1, 3, 4}}, {{1, 3}, {1, 4}, {2, 4}, {3, 4}, {1, 3, 5}}, {{2, 4}, {2, 5}, {3, 5}, {2, 3}, {1, 3, 5}, {1, 2, 4}, {1, 3, 4}, {1, 4, 5}}] 41 : 76 : 234 : [41, 1] : phi[3,2,1] : phi[3,2,1] : [3, 2, 1] : 234 : 1 : 132143 : 4 : [{{1, 3}}, {{2, 3}, {1, 2, 4}}, {{1, 3}, {1, 4}, {2, 4}, {1, 2, 5}}, {{2, 4}, {2, 5}, {2, 3}, {1, 3, 5}, {1, 2, 4}, {1, 3, 4}}] 42 : 76 : 367 : [42, 6] : phi[3,2,1] : phi[3,2,1] : [3, 2, 1] : 367 : 6 : 32432543 : 4 : [{{3, 4}}, {{2, 4}, {3, 5}}, {{1, 4}, {3, 4}, {2, 3, 5}, {2, 4, 5}}, {{2, 4}, {2, 5}, {3, 5}, {2, 3}, {1, 3, 5}, {1, 4, 5}}] 43 : 76 : 175 : [43, 0] : phi[3,1,1,1] : phi[3,1,1,1] : [3, 1, 1, 1] : 175 : 0 : 343543 : 6 : [{{3, 4, 5}}, {{2, 4, 5}}, {{2, 3, 5}, {1, 4, 5}, {3, 4, 5}}, {{1, 3, 5}, {2, 4, 5}, {2, 3, 4}}] 44 : 76 : 408 : [44, 7] : phi[3,2,1] : phi[3,2,1] : [3, 2, 1] : 408 : 7 : 21321432 : 4 : [{{2, 3}}, {{1, 3}, {2, 4}}, {{2, 5}, {2, 3}, {1, 2, 4}, {1, 3, 4}}, {{1, 3}, {1, 4}, {2, 4}, {3, 4}, {1, 3, 5}, {1, 2, 5}}] 45 : 76 : 200 : [45, 0] : phi[3,1,1,1] : phi[3,1,1,1] : [3, 1, 1, 1] : 200 : 0 : 232432 : 6 : [{{2, 3, 4}}, {{1, 3, 4}, {2, 3, 5}}, {{1, 3, 5}, {1, 2, 4}, {2, 4, 5}, {2, 3, 4}}, {{1, 2, 5}, {1, 3, 4}, {2, 3, 5}, {1, 4, 5}, {1, 2, 3}, {3, 4, 5}}] 46 : 76 : 429 : [46, 8] : phi[3,2,1] : phi[3,2,1] : [3, 2, 1] : 429 : 8 : 12432154 : 4 : [{{1, 4}}, {{2, 4}, {1, 3, 5}}, {{1, 3}, {1, 4}, {3, 4}, {1, 2, 5}, {2, 3, 5}}, {{2, 4}, {2, 5}, {3, 5}, {2, 3}, {1, 3, 5}, {1, 2, 4}}] 47 : 76 : 396 : [47, 7] : phi[3,2,1] : phi[3,2,1] : [3, 2, 1] : 396 : 7 : 21345432 : 4 : [{{2, 5}}, {{2, 4}, {1, 3, 5}}, {{2, 5}, {3, 5}, {2, 3}, {1, 3, 4}, {1, 4, 5}}, {{1, 3}, {1, 4}, {2, 4}, {3, 4}, {1, 3, 5}, {2, 4, 5}}] 48 : 76 : 250 : [48, 0] : phi[2,2,2] : phi[2,2,2] : [2, 2, 2] : 250 : 0 : 121454 : 6 : [{{1, 2, 4, 5}}, {{2, 4}, {1, 3, 5}}, {{1, 3, 4}, {2, 3, 5}, {1, 2, 4, 5}}, {{2, 4}, {1, 3, 5}}] 49 : 76 : 258 : [49, 0] : phi[3,1,1,1] : phi[3,1,1,1] : [3, 1, 1, 1] : 258 : 0 : 121321 : 6 : [{{1, 2, 3}}, {{1, 2, 4}}, {{1, 2, 5}, {1, 3, 4}, {1, 2, 3}}, {{1, 3, 5}, {1, 2, 4}, {2, 3, 4}}] 50 : 76 : 378 : [50, 1] : phi[3,1,1,1] : phi[3,1,1,1] : [3, 1, 1, 1] : 378 : 1 : 23435432 : 6 : [{{2, 4, 5}}, {{2, 3, 5}, {1, 4, 5}, {3, 4, 5}}, {{1, 3, 5}, {2, 4, 5}, {2, 3, 4}}, {{1, 2, 5}, {1, 3, 4}, {2, 3, 5}, {1, 4, 5}, {3, 4, 5}}] 51 : 76 : 382 : [51, 2] : phi[3,1,1,1] : phi[3,1,1,1] : [3, 1, 1, 1] : 382 : 2 : 23245432 : 6 : [{{2, 3, 5}}, {{1, 3, 5}, {2, 4, 5}, {2, 3, 4}}, {{1, 2, 5}, {1, 3, 4}, {2, 3, 5}, {1, 4, 5}, {3, 4, 5}}, {{1, 3, 5}, {1, 2, 4}, {2, 4, 5}, {2, 3, 4}}] 52 : 76 : 439 : [52, 2] : phi[3,1,1,1] : phi[3,1,1,1] : [3, 1, 1, 1] : 439 : 2 : 12324321 : 6 : [{{1, 3, 4}}, {{1, 3, 5}, {1, 2, 4}, {2, 3, 4}}, {{1, 2, 5}, {1, 3, 4}, {2, 3, 5}, {1, 4, 5}, {1, 2, 3}}, {{1, 3, 5}, {1, 2, 4}, {2, 4, 5}, {2, 3, 4}}] 53 : 76 : 593 : [53, 4] : phi[3,1,1,1] : phi[3,1,1,1] : [3, 1, 1, 1] : 593 : 4 : 1234354321 : 6 : [{{1, 4, 5}}, {{1, 3, 5}, {2, 4, 5}}, {{1, 2, 5}, {1, 3, 4}, {2, 3, 5}, {1, 4, 5}, {3, 4, 5}}, {{1, 3, 5}, {1, 2, 4}, {2, 4, 5}, {2, 3, 4}}] 54 : 76 : 586 : [54, 3] : phi[2,2,2] : phi[2,2,2] : [2, 2, 2] : 586 : 3 : 1324321543 : 6 : [{{1, 3, 4}}, {{2, 4}, {1, 3, 5}}, {{1, 3, 4}, {2, 3, 5}, {1, 2, 4, 5}}, {{2, 4}, {1, 3, 5}}] 55 : 76 : 317 : [55, 0] : phi[2,2,1,1] : phi[2,2,1,1] : [2, 2, 1, 1] : 317 : 0 : 1343543 : 7 : [{{1, 3, 4, 5}}, {{1, 3, 5}, {2, 4, 5}}, {{1, 3, 4}, {2, 3, 5}, {1, 2, 4, 5}, {1, 3, 4, 5}}, {{1, 3, 5}, {1, 2, 4}, {2, 4, 5}, {2, 3, 4}}] 56 : 76 : 422 : [56, 1] : phi[2,2,2] : phi[2,2,2] : [2, 2, 2] : 422 : 1 : 13214543 : 6 : [{{1, 3, 5}}, {{1, 3, 4}, {2, 3, 5}, {1, 2, 4, 5}}, {{2, 4}, {1, 3, 5}}, {{1, 3, 4}, {2, 3, 5}, {1, 2, 4, 5}}] 57 : 76 : 577 : [57, 2] : phi[2,2,2] : phi[2,2,2] : [2, 2, 2] : 577 : 2 : 2132145432 : 6 : [{{2, 3, 5}}, {{2, 4}, {1, 3, 5}}, {{1, 3, 4}, {2, 3, 5}, {1, 2, 4, 5}}, {{2, 4}, {1, 3, 5}}] 58 : 76 : 608 : [58, 6] : phi[3,1,1,1] : phi[3,1,1,1] : [3, 1, 1, 1] : 608 : 6 : 1213454321 : 6 : [{{1, 2, 5}}, {{1, 3, 5}, {1, 2, 4}}, {{1, 2, 5}, {1, 3, 4}, {2, 3, 5}, {1, 4, 5}, {1, 2, 3}}, {{1, 3, 5}, {1, 2, 4}, {2, 4, 5}, {2, 3, 4}}] 59 : 76 : 358 : [59, 0] : phi[2,2,1,1] : phi[2,2,1,1] : [2, 2, 1, 1] : 358 : 0 : 1213215 : 7 : [{{1, 2, 3, 5}}, {{1, 3, 5}, {1, 2, 4}}, {{1, 3, 4}, {2, 3, 5}, {1, 2, 4, 5}, {1, 2, 3, 5}}, {{1, 3, 5}, {1, 2, 4}, {2, 4, 5}, {2, 3, 4}}] 60 : 76 : 453 : [60, 2] : phi[3,1,1,1] : phi[3,1,1,1] : [3, 1, 1, 1] : 453 : 2 : 12134321 : 6 : [{{1, 2, 4}}, {{1, 2, 5}, {1, 3, 4}, {1, 2, 3}}, {{1, 3, 5}, {1, 2, 4}, {2, 3, 4}}, {{1, 2, 5}, {1, 3, 4}, {2, 3, 5}, {1, 4, 5}, {1, 2, 3}}] 61 : 76 : 596 : [61, 6] : phi[3,1,1,1] : phi[3,1,1,1] : [3, 1, 1, 1] : 596 : 6 : 1232454321 : 6 : [{{1, 3, 5}}, {{1, 2, 5}, {1, 3, 4}, {2, 3, 5}, {1, 4, 5}}, {{1, 3, 5}, {1, 2, 4}, {2, 4, 5}, {2, 3, 4}}, {{1, 2, 5}, {1, 3, 4}, {2, 3, 5}, {1, 4, 5}, {1, 2, 3}, {3, 4, 5}}] 62 : 76 : 677 : [62, 4] : phi[2,2,2] : phi[2,2,2] : [2, 2, 2] : 677 : 4 : 213243215432 : 6 : [{{2, 4}}, {{1, 3, 4}, {2, 3, 5}}, {{2, 4}, {1, 3, 5}}, {{1, 3, 4}, {2, 3, 5}, {1, 2, 4, 5}}] 63 : 76 : 489 : [63, 1] : phi[2,2,1,1] : phi[2,2,1,1] : [2, 2, 1, 1] : 489 : 1 : 213435432 : 7 : [{{2, 4, 5}}, {{2, 3, 5}, {1, 3, 4, 5}}, {{1, 3, 5}, {2, 4, 5}, {2, 3, 4}}, {{1, 3, 4}, {2, 3, 5}, {1, 2, 4, 5}, {1, 3, 4, 5}}] 64 : 76 : 536 : [64, 1] : phi[2,2,1,1] : phi[2,2,1,1] : [2, 2, 1, 1] : 536 : 1 : 121432154 : 7 : [{{1, 2, 4}}, {{1, 3, 4}, {1, 2, 3, 5}}, {{1, 3, 5}, {1, 2, 4}, {2, 3, 4}}, {{1, 3, 4}, {2, 3, 5}, {1, 2, 4, 5}, {1, 2, 3, 5}}] 65 : 76 : 659 : [65, 7] : phi[2,2,1,1] : phi[2,2,1,1] : [2, 2, 1, 1] : 659 : 7 : 12134354321 : 7 : [{{1, 2, 4, 5}}, {{1, 3, 5}, {1, 2, 4}, {2, 4, 5}}, {{1, 3, 4}, {2, 3, 5}, {1, 2, 4, 5}, {1, 2, 3, 5}, {1, 3, 4, 5}}, {{1, 3, 5}, {1, 2, 4}, {2, 4, 5}, {2, 3, 4}}] 66 : 76 : 629 : [66, 2] : phi[2,2,1,1] : phi[2,2,1,1] : [2, 2, 1, 1] : 629 : 2 : 23214325432 : 7 : [{{2, 3, 5}}, {{1, 3, 5}, {2, 4, 5}, {2, 3, 4}}, {{1, 3, 4}, {2, 3, 5}, {1, 2, 4, 5}, {1, 3, 4, 5}}, {{1, 3, 5}, {1, 2, 4}, {2, 4, 5}, {2, 3, 4}}] 67 : 76 : 646 : [67, 3] : phi[2,2,1,1] : phi[2,2,1,1] : [2, 2, 1, 1] : 646 : 3 : 13214321543 : 7 : [{{1, 3, 4}}, {{1, 3, 5}, {1, 2, 4}, {2, 3, 4}}, {{1, 3, 4}, {2, 3, 5}, {1, 2, 4, 5}, {1, 2, 3, 5}}, {{1, 3, 5}, {1, 2, 4}, {2, 4, 5}, {2, 3, 4}}] 68 : 76 : 703 : [68, 8] : phi[2,2,1,1] : phi[2,2,1,1] : [2, 2, 1, 1] : 703 : 8 : 2132143215432 : 7 : [{{2, 3, 4}}, {{1, 3, 4}, {2, 3, 5}}, {{1, 3, 5}, {1, 2, 4}, {2, 4, 5}, {2, 3, 4}}, {{1, 3, 4}, {2, 3, 5}, {1, 2, 4, 5}, {1, 2, 3, 5}, {1, 3, 4, 5}}] 69 : 76 : 561 : [69, 0] : phi[2,1,1,1,1] : phi[2,1,1,1,1] : [2, 1, 1, 1, 1] : 561 : 0 : 2324325432 : 10 : [{{2, 3, 4, 5}}, {{1, 3, 4, 5}}, {{1, 2, 4, 5}, {2, 3, 4, 5}}, {{1, 2, 3, 5}, {1, 3, 4, 5}}] 70 : 76 : 706 : [70, 8] : phi[2,2,1,1] : phi[2,2,1,1] : [2, 2, 1, 1] : 706 : 8 : 1232143254321 : 7 : [{{1, 3, 5}}, {{1, 3, 4}, {2, 3, 5}, {1, 2, 4, 5}}, {{1, 3, 5}, {1, 2, 4}, {2, 4, 5}, {2, 3, 4}}, {{1, 3, 4}, {2, 3, 5}, {1, 2, 4, 5}, {1, 2, 3, 5}, {1, 3, 4, 5}}] 71 : 76 : 621 : [71, 0] : phi[2,1,1,1,1] : phi[2,1,1,1,1] : [2, 1, 1, 1, 1] : 621 : 0 : 1213214321 : 10 : [{{1, 2, 3, 4}}, {{1, 2, 3, 5}}, {{1, 2, 4, 5}, {1, 2, 3, 4}}, {{1, 2, 3, 5}, {1, 3, 4, 5}}] 72 : 76 : 685 : [72, 1] : phi[2,1,1,1,1] : phi[2,1,1,1,1] : [2, 1, 1, 1, 1] : 685 : 1 : 123243254321 : 10 : [{{1, 3, 4, 5}}, {{1, 2, 4, 5}, {2, 3, 4, 5}}, {{1, 2, 3, 5}, {1, 3, 4, 5}}, {{1, 2, 4, 5}, {1, 2, 3, 4}, {2, 3, 4, 5}}] 73 : 76 : 696 : [73, 1] : phi[2,1,1,1,1] : phi[2,1,1,1,1] : [2, 1, 1, 1, 1] : 696 : 1 : 121321454321 : 10 : [{{1, 2, 3, 5}}, {{1, 2, 4, 5}, {1, 2, 3, 4}}, {{1, 2, 3, 5}, {1, 3, 4, 5}}, {{1, 2, 4, 5}, {1, 2, 3, 4}, {2, 3, 4, 5}}] 74 : 76 : 716 : [74, 4] : phi[2,1,1,1,1] : phi[2,1,1,1,1] : [2, 1, 1, 1, 1] : 716 : 4 : 12132432154321 : 10 : [{{1, 2, 4, 5}}, {{1, 2, 3, 5}, {1, 3, 4, 5}}, {{1, 2, 4, 5}, {1, 2, 3, 4}, {2, 3, 4, 5}}, {{1, 2, 3, 5}, {1, 3, 4, 5}}] 75 : 76 : 719 : [75, 0] : phi[1,1,1,1,1,1] : phi[1,1,1,1,1,1] : [1, 1, 1, 1, 1, 1] : 719 : 0 : 121321432154321 : 15 : [{{1, 2, 3, 4, 5}}, {}, {}, {}]