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On this page are computer-accessible forms for the graph C4[ 150, 8 ] = AMC(6,5,[0.3:2.2]).

(I) Following is a form readable by MAGMA:

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

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

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