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On this page are computer-accessible forms for the graph C4[ 147, 6 ] = AMC(3,7,[0.1:6.6]).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {48, 55} under the group generated by the following permutations:

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

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

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