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On this page are computer-accessible forms for the graph C4[ 150, 7 ] = AMC(6,5,[0.1:4.4]).

(I) Following is a form readable by MAGMA:

g:=Graph<150|{ {24, 29}, {98, 103}, {96, 101}, {72, 78}, {73, 79}, {25, 30}, {97, 102}, {75, 76}, {71, 77}, {23, 28}, {99, 104}, {22, 27}, {100, 105}, {21, 26}, {64, 83}, {68, 87}, {72, 91}, {8, 28}, {99, 119}, {98, 118}, {97, 117}, {96, 116}, {11, 31}, {10, 30}, {9, 29}, {40, 61}, {65, 84}, {67, 86}, {73, 92}, {75, 94}, {74, 93}, {105, 126}, {32, 56}, {103, 127}, {102, 126}, {38, 62}, {37, 61}, {35, 59}, {34, 58}, {33, 57}, {39, 63}, {66, 90}, {71, 95}, {32, 58}, {101, 127}, {37, 63}, {36, 62}, {33, 59}, {65, 91}, {74, 80}, {35, 56}, {6, 26}, {100, 120}, {7, 27}, {69, 88}, {1, 31}, {34, 60}, {64, 95}, {70, 89}, {67, 98}, {69, 100}, {2, 32}, {95, 125}, {94, 124}, {91, 121}, {90, 120}, {87, 117}, {86, 116}, {83, 113}, {82, 112}, {79, 109}, {78, 108}, {19, 49}, {18, 48}, {15, 45}, {14, 44}, {11, 41}, {10, 40}, {7, 37}, {6, 36}, {3, 33}, {31, 60}, {66, 97}, {4, 34}, {93, 123}, {92, 122}, {85, 115}, {84, 114}, {31, 57}, {20, 50}, {13, 43}, {12, 42}, {5, 35}, {70, 96}, {76, 106}, {77, 107}, {68, 99}, {27, 51}, {30, 54}, {29, 53}, {28, 52}, {28, 54}, {29, 55}, {12, 32}, {95, 115}, {94, 114}, {93, 113}, {92, 112}, {15, 35}, {14, 34}, {13, 33}, {2, 47}, {80, 125}, {30, 51}, {26, 55}, {8, 38}, {89, 119}, {88, 118}, {27, 53}, {26, 52}, {9, 39}, {1, 46}, {3, 48}, {79, 124}, {16, 36}, {91, 111}, {90, 110}, {89, 109}, {88, 108}, {83, 103}, {82, 102}, {81, 101}, {25, 45}, {24, 44}, {19, 39}, {18, 38}, {17, 37}, {4, 49}, {78, 123}, {76, 121}, {5, 50}, {77, 122}, {20, 40}, {87, 107}, {86, 106}, {85, 105}, {84, 104}, {23, 43}, {22, 42}, {21, 41}, {16, 46}, {81, 111}, {80, 110}, {17, 47}, {52, 96}, {53, 97}, {54, 98}, {55, 99}, {51, 100}, {51, 82}, {53, 84}, {57, 88}, {59, 90}, {61, 92}, {63, 94}, {54, 85}, {58, 89}, {62, 93}, {36, 65}, {46, 75}, {38, 64}, {39, 65}, {46, 72}, {47, 73}, {55, 81}, {25, 126}, {52, 83}, {40, 64}, {42, 66}, {43, 67}, {44, 68}, {45, 69}, {47, 71}, {56, 80}, {61, 85}, {21, 127}, {41, 67}, {44, 70}, {60, 86}, {63, 82}, {42, 68}, {43, 69}, {41, 70}, {45, 66}, {56, 87}, {62, 81}, {60, 79}, {50, 71}, {57, 76}, {59, 78}, {8, 127}, {58, 77}, {48, 72}, {49, 73}, {50, 74}, {7, 126}, {48, 74}, {49, 75}, {10, 136}, {15, 141}, {4, 135}, {16, 147}, {12, 143}, {8, 139}, {6, 130}, {21, 145}, {1, 132}, {19, 150}, {17, 148}, {11, 142}, {9, 140}, {3, 134}, {5, 131}, {20, 146}, {2, 133}, {18, 149}, {9, 128}, {25, 144}, {15, 134}, {13, 132}, {10, 129}, {14, 133}, {11, 135}, {7, 138}, {6, 137}, {12, 131}, {2, 146}, {5, 149}, {4, 148}, {3, 147}, {22, 128}, {23, 129}, {1, 150}, {24, 143}, {17, 136}, {23, 142}, {19, 138}, {24, 130}, {18, 137}, {22, 141}, {16, 140}, {13, 144}, {14, 145}, {20, 139}, {111, 140}, {116, 145}, {102, 128}, {119, 145}, {118, 144}, {111, 137}, {103, 129}, {101, 130}, {104, 128}, {125, 149}, {124, 148}, {123, 147}, {122, 146}, {120, 144}, {110, 134}, {109, 133}, {108, 132}, {107, 131}, {105, 129}, {104, 130}, {124, 150}, {121, 147}, {109, 135}, {108, 134}, {106, 135}, {110, 131}, {106, 132}, {123, 149}, {122, 148}, {107, 133}, {121, 150}, {125, 146}, {120, 141}, {112, 136}, {119, 143}, {118, 142}, {117, 141}, {115, 139}, {114, 138}, {113, 137}, {112, 138}, {117, 143}, {116, 142}, {113, 139}, {115, 136}, {114, 140} }>;

(II) A more general form is to represent the graph as the orbit of {24, 29} under the group generated by the following permutations:

a: (2, 5)(3, 4)(6, 21)(7, 25)(8, 24)(9, 23)(10, 22)(11, 16)(12, 20)(13, 19)(14, 18)(15, 17)(27, 30)(28, 29)(31, 46)(32, 50)(33, 49)(34, 48)(35, 47)(36, 41)(37, 45)(38, 44)(39, 43)(40, 42)(52, 55)(53, 54)(56, 71)(57, 75)(58, 74)(59, 73)(60, 72)(61, 66)(62, 70)(63, 69)(64, 68)(65, 67)(77, 80)(78, 79)(81, 96)(82, 100)(83, 99)(84, 98)(85, 97)(86, 91)(87, 95)(88, 94)(89, 93)(90, 92)(102, 105)(103, 104)(106, 121)(107, 125)(108, 124)(109, 123)(110, 122)(111, 116)(112, 120)(113, 119)(114, 118)(115, 117)(127, 130)(128, 129)(131, 146)(132, 150)(133, 149)(134, 148)(135, 147)(136, 141)(137, 145)(138, 144)(139, 143)(140, 142)
b: (6, 25)(7, 21)(8, 22)(9, 23)(10, 24)(11, 19)(12, 20)(13, 16)(14, 17)(15, 18)(26, 126)(27, 127)(28, 128)(29, 129)(30, 130)(31, 150)(32, 146)(33, 147)(34, 148)(35, 149)(36, 144)(37, 145)(38, 141)(39, 142)(40, 143)(41, 138)(42, 139)(43, 140)(44, 136)(45, 137)(46, 132)(47, 133)(48, 134)(49, 135)(50, 131)(51, 101)(52, 102)(53, 103)(54, 104)(55, 105)(56, 125)(57, 121)(58, 122)(59, 123)(60, 124)(61, 119)(62, 120)(63, 116)(64, 117)(65, 118)(66, 113)(67, 114)(68, 115)(69, 111)(70, 112)(71, 107)(72, 108)(73, 109)(74, 110)(75, 106)(81, 100)(82, 96)(83, 97)(84, 98)(85, 99)(86, 94)(87, 95)(88, 91)(89, 92)(90, 93)
c: (1, 6, 11, 16, 21)(2, 7, 12, 17, 22)(3, 8, 13, 18, 23)(4, 9, 14, 19, 24)(5, 10, 15, 20, 25)(26, 31, 36, 41, 46)(27, 32, 37, 42, 47)(28, 33, 38, 43, 48)(29, 34, 39, 44, 49)(30, 35, 40, 45, 50)(51, 56, 61, 66, 71)(52, 57, 62, 67, 72)(53, 58, 63, 68, 73)(54, 59, 64, 69, 74)(55, 60, 65, 70, 75)(76, 81, 86, 91, 96)(77, 82, 87, 92, 97)(78, 83, 88, 93, 98)(79, 84, 89, 94, 99)(80, 85, 90, 95, 100)(101, 106, 111, 116, 121)(102, 107, 112, 117, 122)(103, 108, 113, 118, 123)(104, 109, 114, 119, 124)(105, 110, 115, 120, 125)(126, 131, 136, 141, 146)(127, 132, 137, 142, 147)(128, 133, 138, 143, 148)(129, 134, 139, 144, 149)(130, 135, 140, 145, 150)
d: (1, 2)(3, 5)(6, 22)(7, 21)(8, 25)(9, 24)(10, 23)(11, 17)(12, 16)(13, 20)(14, 19)(15, 18)(26, 27)(28, 30)(31, 47)(32, 46)(33, 50)(34, 49)(35, 48)(36, 42)(37, 41)(38, 45)(39, 44)(40, 43)(51, 52)(53, 55)(56, 72)(57, 71)(58, 75)(59, 74)(60, 73)(61, 67)(62, 66)(63, 70)(64, 69)(65, 68)(76, 77)(78, 80)(81, 97)(82, 96)(83, 100)(84, 99)(85, 98)(86, 92)(87, 91)(88, 95)(89, 94)(90, 93)(101, 102)(103, 105)(106, 122)(107, 121)(108, 125)(109, 124)(110, 123)(111, 117)(112, 116)(113, 120)(114, 119)(115, 118)(126, 127)(128, 130)(131, 147)(132, 146)(133, 150)(134, 149)(135, 148)(136, 142)(137, 141)(138, 145)(139, 144)(140, 143)
e: (1, 26, 51, 76, 101, 126)(2, 32, 56, 80, 125, 146)(3, 38, 61, 79, 119, 141)(4, 44, 66, 78, 113, 136)(5, 50, 71, 77, 107, 131)(6, 30, 75, 96, 102, 132)(7, 31, 55, 100, 121, 127)(8, 37, 60, 99, 120, 147)(9, 43, 65, 98, 114, 142)(10, 49, 70, 97, 108, 137)(11, 29, 69, 91, 103, 138)(12, 35, 74, 95, 122, 133)(13, 36, 54, 94, 116, 128)(14, 42, 59, 93, 115, 148)(15, 48, 64, 92, 109, 143)(16, 28, 63, 86, 104, 144)(17, 34, 68, 90, 123, 139)(18, 40, 73, 89, 117, 134)(19, 41, 53, 88, 111, 129)(20, 47, 58, 87, 110, 149)(21, 27, 57, 81, 105, 150)(22, 33, 62, 85, 124, 145)(23, 39, 67, 84, 118, 140)(24, 45, 72, 83, 112, 135)(25, 46, 52, 82, 106, 130)

(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[ 150, 7 ]
150
-1 132 46 150 31
-2 133 47 146 32
-3 33 134 48 147
-4 34 135 49 148
-5 35 50 149 131
-6 36 26 137 130
-7 37 27 126 138
-8 38 28 127 139
-9 39 29 128 140
-10 136 40 30 129
-11 135 41 31 142
-12 143 42 32 131
-13 33 132 144 43
-14 44 34 133 145
-15 45 35 134 141
-16 46 36 147 140
-17 47 37 136 148
-18 48 38 137 149
-19 49 39 138 150
-20 146 50 40 139
-21 145 26 127 41
-22 27 128 42 141
-23 28 129 43 142
-24 44 143 29 130
-25 45 144 126 30
-26 55 6 52 21
-27 22 7 51 53
-28 23 8 52 54
-29 55 24 9 53
-30 25 51 10 54
-31 11 1 57 60
-32 12 56 2 58
-33 13 57 3 59
-34 14 58 4 60
-35 56 15 59 5
-36 16 6 62 65
-37 17 61 7 63
-38 18 62 8 64
-39 19 63 9 65
-40 61 20 64 10
-41 11 67 70 21
-42 22 66 12 68
-43 23 67 13 69
-44 24 68 14 70
-45 66 25 69 15
-46 1 16 72 75
-47 2 71 17 73
-48 3 72 18 74
-49 4 73 19 75
-50 5 71 74 20
-51 100 27 82 30
-52 26 28 83 96
-53 27 29 84 97
-54 28 30 85 98
-55 99 26 81 29
-56 35 80 32 87
-57 33 88 31 76
-58 77 34 89 32
-59 33 78 35 90
-60 34 79 31 86
-61 37 92 40 85
-62 36 81 38 93
-63 37 82 39 94
-64 38 83 40 95
-65 36 91 39 84
-66 45 90 42 97
-67 41 86 43 98
-68 44 99 42 87
-69 88 45 100 43
-70 44 89 41 96
-71 77 47 50 95
-72 78 46 91 48
-73 79 47 92 49
-74 80 48 93 50
-75 46 49 94 76
-76 121 57 106 75
-77 122 58 71 107
-78 123 59 72 108
-79 124 60 73 109
-80 110 56 125 74
-81 55 111 101 62
-82 112 102 51 63
-83 113 103 52 64
-84 114 104 53 65
-85 115 61 105 54
-86 67 60 116 106
-87 56 68 117 107
-88 57 69 118 108
-89 58 70 119 109
-90 66 110 59 120
-91 121 111 72 65
-92 122 112 61 73
-93 123 113 62 74
-94 124 114 63 75
-95 125 71 115 64
-96 101 70 116 52
-97 66 102 117 53
-98 67 103 118 54
-99 55 68 104 119
-100 69 105 51 120
-101 81 127 96 130
-102 82 126 128 97
-103 83 127 129 98
-104 99 84 128 130
-105 100 126 85 129
-106 132 135 86 76
-107 77 133 87 131
-108 88 132 78 134
-109 89 133 79 135
-110 90 134 80 131
-111 91 81 137 140
-112 92 136 82 138
-113 93 137 83 139
-114 94 138 84 140
-115 136 95 139 85
-116 145 96 86 142
-117 143 97 141 87
-118 88 144 98 142
-119 99 143 89 145
-120 100 144 90 141
-121 91 147 150 76
-122 77 146 92 148
-123 78 147 93 149
-124 79 148 94 150
-125 80 146 149 95
-126 25 102 105 7
-127 101 103 8 21
-128 22 102 104 9
-129 23 103 105 10
-130 24 101 104 6
-131 110 12 5 107
-132 1 13 106 108
-133 2 14 107 109
-134 110 3 15 108
-135 11 4 106 109
-136 112 115 17 10
-137 111 113 6 18
-138 112 114 7 19
-139 113 115 8 20
-140 111 114 16 9
-141 22 15 117 120
-142 11 23 116 118
-143 12 24 117 119
-144 13 25 118 120
-145 14 116 119 21
-146 122 2 125 20
-147 121 123 3 16
-148 122 124 4 17
-149 123 125 5 18
-150 121 1 124 19
0

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