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On this page are computer-accessible forms for the graph C4[ 147, 5 ] = MSZ(21,7,8,2).

(I) Following is a form readable by MAGMA:

g:=Graph<147|{ {2, 3}, {146, 147}, {144, 145}, {142, 143}, {140, 141}, {138, 139}, {136, 137}, {134, 135}, {132, 133}, {130, 131}, {128, 129}, {124, 125}, {122, 123}, {120, 121}, {118, 119}, {116, 117}, {114, 115}, {112, 113}, {110, 111}, {108, 109}, {106, 107}, {104, 105}, {102, 103}, {100, 101}, {98, 99}, {96, 97}, {94, 95}, {92, 93}, {90, 91}, {88, 89}, {86, 87}, {82, 83}, {80, 81}, {46, 47}, {44, 45}, {40, 41}, {38, 39}, {36, 37}, {34, 35}, {32, 33}, {30, 31}, {28, 29}, {26, 27}, {24, 25}, {22, 23}, {20, 21}, {18, 19}, {16, 17}, {14, 15}, {12, 13}, {10, 11}, {8, 9}, {6, 7}, {4, 5}, {48, 49}, {50, 51}, {52, 53}, {54, 55}, {56, 57}, {58, 59}, {60, 61}, {62, 63}, {64, 65}, {66, 67}, {68, 69}, {70, 71}, {72, 73}, {74, 75}, {76, 77}, {78, 79}, {1, 2}, {145, 146}, {141, 142}, {137, 138}, {133, 134}, {129, 130}, {125, 126}, {121, 122}, {117, 118}, {113, 114}, {109, 110}, {101, 102}, {97, 98}, {93, 94}, {89, 90}, {85, 86}, {81, 82}, {45, 46}, {41, 42}, {37, 38}, {33, 34}, {29, 30}, {25, 26}, {17, 18}, {13, 14}, {9, 10}, {5, 6}, {49, 50}, {53, 54}, {57, 58}, {61, 62}, {65, 66}, {69, 70}, {73, 74}, {77, 78}, {3, 4}, {139, 140}, {131, 132}, {123, 124}, {115, 116}, {107, 108}, {99, 100}, {91, 92}, {83, 84}, {43, 44}, {35, 36}, {27, 28}, {19, 20}, {11, 12}, {51, 52}, {59, 60}, {67, 68}, {75, 76}, {18, 26}, {102, 110}, {99, 107}, {84, 92}, {81, 89}, {39, 47}, {36, 44}, {21, 29}, {7, 8}, {135, 136}, {119, 120}, {103, 104}, {87, 88}, {39, 40}, {23, 24}, {55, 56}, {71, 72}, {1, 21}, {106, 126}, {43, 63}, {64, 84}, {15, 23}, {105, 113}, {78, 86}, {42, 50}, {66, 95}, {96, 125}, {15, 16}, {143, 144}, {111, 112}, {79, 80}, {33, 62}, {47, 48}, {3, 32}, {87, 116}, {79, 108}, {27, 56}, {19, 48}, {75, 104}, {6, 35}, {30, 59}, {12, 41}, {69, 98}, {93, 122}, {24, 53}, {90, 119}, {72, 101}, {9, 38}, {1, 51}, {13, 63}, {4, 54}, {64, 114}, {73, 123}, {76, 126}, {10, 60}, {67, 117}, {22, 42}, {85, 105}, {16, 45}, {82, 111}, {7, 57}, {70, 120}, {31, 32}, {95, 96}, {56, 127}, {13, 68}, {35, 106}, {31, 86}, {17, 88}, {61, 116}, {10, 65}, {38, 109}, {58, 113}, {1, 77}, {49, 125}, {31, 81}, {46, 96}, {20, 91}, {25, 75}, {28, 78}, {49, 99}, {52, 102}, {4, 80}, {7, 83}, {46, 122}, {16, 71}, {19, 74}, {41, 112}, {55, 110}, {14, 85}, {2, 94}, {43, 119}, {32, 124}, {22, 72}, {55, 105}, {52, 107}, {12, 109}, {30, 127}, {18, 115}, {9, 106}, {21, 118}, {51, 80}, {5, 97}, {29, 121}, {23, 115}, {54, 83}, {37, 66}, {45, 74}, {61, 90}, {8, 100}, {26, 118}, {11, 103}, {40, 69}, {58, 87}, {22, 98}, {28, 104}, {34, 84}, {43, 93}, {40, 95}, {57, 65}, {60, 68}, {63, 71}, {37, 92}, {3, 121}, {6, 124}, {34, 89}, {25, 101}, {48, 77}, {15, 112}, {11, 129}, {27, 145}, {14, 132}, {2, 141}, {5, 144}, {17, 135}, {24, 142}, {8, 147}, {20, 138}, {36, 133}, {42, 139}, {33, 130}, {44, 136}, {47, 139}, {53, 145}, {39, 136}, {59, 130}, {62, 133}, {50, 142}, {73, 128}, {79, 134}, {64, 140}, {67, 143}, {94, 144}, {76, 131}, {85, 135}, {88, 138}, {70, 146}, {91, 141}, {82, 137}, {103, 132}, {111, 140}, {100, 129}, {108, 137}, {117, 146}, {127, 147}, {97, 147}, {120, 128}, {126, 134}, {123, 131}, {114, 143}, {127, 128} }>;

(II) A more general form is to represent the graph as the orbit of {2, 3} under the group generated by the following permutations:

a: (1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21)(22, 44, 87, 25, 47, 90, 28, 50, 93, 31, 53, 96, 34, 56, 99, 37, 59, 102, 40, 62, 105)(23, 45, 88, 26, 48, 91, 29, 51, 94, 32, 54, 97, 35, 57, 100, 38, 60, 103, 41, 63, 85)(24, 46, 89, 27, 49, 92, 30, 52, 95, 33, 55, 98, 36, 58, 101, 39, 61, 104, 42, 43, 86)(64, 128, 108, 67, 131, 111, 70, 134, 114, 73, 137, 117, 76, 140, 120, 79, 143, 123, 82, 146, 126)(65, 129, 109, 68, 132, 112, 71, 135, 115, 74, 138, 118, 77, 141, 121, 80, 144, 124, 83, 147, 106)(66, 130, 110, 69, 133, 113, 72, 136, 116, 75, 139, 119, 78, 142, 122, 81, 145, 125, 84, 127, 107)
b: (2, 77)(3, 48)(4, 19)(5, 74)(6, 45)(7, 16)(8, 71)(9, 63)(10, 13)(11, 68)(12, 60)(14, 65)(15, 57)(17, 83)(18, 54)(20, 80)(21, 51)(22, 127)(23, 56)(24, 27)(25, 145)(26, 53)(28, 142)(29, 50)(30, 42)(31, 139)(32, 47)(33, 39)(34, 136)(35, 44)(37, 133)(38, 62)(40, 130)(41, 59)(43, 106)(46, 124)(49, 121)(52, 118)(55, 115)(58, 112)(61, 109)(64, 85)(66, 132)(67, 103)(69, 129)(70, 100)(72, 147)(73, 97)(75, 144)(76, 94)(78, 141)(79, 91)(81, 138)(82, 88)(84, 135)(86, 140)(87, 111)(89, 137)(90, 108)(92, 134)(93, 126)(95, 131)(96, 123)(98, 128)(99, 120)(101, 146)(102, 117)(104, 143)(105, 114)(107, 119)(110, 116)(122, 125)

(III) Last is Groups&Graphs. Copy everything between (not including) the lines of asterisks into a plain text file and save it as "graph.txt". Then launch G&G (Groups&Graphs) and select Read Text from the File menu.

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&Graph
C4[ 147, 5 ]
147
-1 77 2 51 21
-2 1 3 94 141
-3 121 2 4 32
-4 3 80 5 54
-5 144 4 6 97
-6 35 124 5 7
-7 57 6 83 8
-8 100 147 7 9
-9 38 106 8 10
-10 11 60 9 65
-11 12 103 129 10
-12 11 13 41 109
-13 12 68 14 63
-14 132 13 15 85
-15 23 112 14 16
-16 45 15 71 17
-17 88 135 16 18
-18 26 115 17 19
-19 48 18 74 20
-20 91 138 19 21
-21 1 29 118 20
-22 23 72 42 98
-23 22 24 15 115
-24 23 25 53 142
-25 24 101 26 75
-26 25 27 18 118
-27 56 145 26 28
-28 78 27 104 29
-29 121 28 30 21
-30 59 127 29 31
-31 81 30 86 32
-32 33 3 124 31
-33 34 62 130 32
-34 33 89 35 84
-35 34 36 6 106
-36 44 133 35 37
-37 66 36 92 38
-38 37 39 9 109
-39 47 136 38 40
-40 69 39 95 41
-41 12 112 40 42
-42 22 50 139 41
-43 44 93 63 119
-44 45 36 136 43
-45 44 46 16 74
-46 45 122 47 96
-47 46 48 39 139
-48 77 47 49 19
-49 99 48 125 50
-50 49 51 42 142
-51 1 80 50 52
-52 102 51 107 53
-53 24 145 52 54
-54 55 4 83 53
-55 110 56 105 54
-56 55 57 27 127
-57 56 58 7 65
-58 57 113 59 87
-59 58 60 30 130
-60 68 59 61 10
-61 90 60 116 62
-62 33 133 61 63
-63 13 71 62 43
-64 114 84 140 65
-65 66 57 64 10
-66 67 37 95 65
-67 66 143 68 117
-68 67 13 69 60
-69 68 70 40 98
-70 69 146 71 120
-71 70 16 72 63
-72 22 101 71 73
-73 123 72 128 74
-74 45 73 19 75
-75 25 104 74 76
-76 77 126 75 131
-77 1 78 48 76
-78 77 79 28 86
-79 78 134 80 108
-80 79 4 81 51
-81 89 80 82 31
-82 111 81 137 83
-83 82 7 84 54
-84 34 92 83 64
-85 14 135 105 86
-86 78 85 31 87
-87 88 58 116 86
-88 89 17 138 87
-89 88 34 90 81
-90 89 91 61 119
-91 90 92 20 141
-92 91 37 93 84
-93 122 92 94 43
-94 144 2 93 95
-95 66 94 40 96
-96 46 125 95 97
-97 147 5 96 98
-98 22 99 69 97
-99 100 49 107 98
-100 99 101 8 129
-101 100 25 102 72
-102 110 101 103 52
-103 11 132 102 104
-104 103 28 105 75
-105 55 113 104 85
-106 35 126 107 9
-107 99 106 52 108
-108 79 137 107 109
-109 110 12 38 108
-110 55 111 102 109
-111 110 112 82 140
-112 111 113 15 41
-113 112 58 114 105
-114 143 113 115 64
-115 23 114 116 18
-116 115 61 117 87
-117 67 146 116 118
-118 26 117 119 21
-119 90 118 43 120
-120 121 70 128 119
-121 122 3 29 120
-122 121 46 123 93
-123 122 124 73 131
-124 123 125 6 32
-125 124 49 126 96
-126 134 125 106 76
-127 56 147 128 30
-128 127 73 129 120
-129 11 100 128 130
-130 33 59 129 131
-131 132 123 130 76
-132 133 14 103 131
-133 132 134 36 62
-134 133 79 135 126
-135 134 136 17 85
-136 44 135 137 39
-137 136 82 138 108
-138 88 137 139 20
-139 47 138 140 42
-140 111 139 64 141
-141 2 91 140 142
-142 143 24 50 141
-143 67 144 114 142
-144 143 145 5 94
-145 144 146 27 53
-146 145 70 147 117
-147 146 127 8 97
0

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