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On this page are computer-accessible forms for the graph C4[ 144, 60 ] = BGCG(R_12(8,7),C_3,{7,8}).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {48, 56} under the group generated by the following permutations:

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

(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.

**************

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

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