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On this page are computer-accessible forms for the graph C4[ 153, 1 ] = C_153(1,35).

(I) Following is a form readable by MAGMA:

g:=Graph<153|{ {2, 3}, {152, 153}, {150, 151}, {148, 149}, {146, 147}, {144, 145}, {142, 143}, {140, 141}, {138, 139}, {136, 137}, {134, 135}, {132, 133}, {130, 131}, {128, 129}, {126, 127}, {124, 125}, {122, 123}, {120, 121}, {62, 63}, {60, 61}, {58, 59}, {56, 57}, {54, 55}, {52, 53}, {50, 51}, {48, 49}, {46, 47}, {44, 45}, {42, 43}, {40, 41}, {38, 39}, {36, 37}, {34, 35}, {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}, {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}, {1, 2}, {149, 150}, {145, 146}, {141, 142}, {137, 138}, {133, 134}, {129, 130}, {125, 126}, {121, 122}, {61, 62}, {57, 58}, {53, 54}, {49, 50}, {45, 46}, {41, 42}, {37, 38}, {5, 6}, {9, 10}, {13, 14}, {17, 18}, {21, 22}, {25, 26}, {29, 30}, {33, 34}, {65, 66}, {69, 70}, {73, 74}, {77, 78}, {81, 82}, {85, 86}, {89, 90}, {93, 94}, {97, 98}, {101, 102}, {105, 106}, {109, 110}, {113, 114}, {117, 118}, {3, 4}, {147, 148}, {139, 140}, {131, 132}, {123, 124}, {59, 60}, {51, 52}, {43, 44}, {35, 36}, {11, 12}, {19, 20}, {27, 28}, {67, 68}, {75, 76}, {83, 84}, {91, 92}, {99, 100}, {107, 108}, {115, 116}, {7, 8}, {151, 152}, {135, 136}, {119, 120}, {55, 56}, {39, 40}, {23, 24}, {71, 72}, {87, 88}, {103, 104}, {15, 16}, {143, 144}, {47, 48}, {79, 80}, {111, 112}, {4, 39}, {8, 43}, {12, 47}, {16, 51}, {20, 55}, {24, 59}, {28, 63}, {64, 99}, {68, 103}, {72, 107}, {76, 111}, {80, 115}, {84, 119}, {88, 123}, {92, 127}, {1, 36}, {3, 38}, {9, 44}, {11, 46}, {17, 52}, {19, 54}, {25, 60}, {27, 62}, {65, 100}, {67, 102}, {73, 108}, {75, 110}, {81, 116}, {83, 118}, {89, 124}, {91, 126}, {2, 37}, {10, 45}, {18, 53}, {26, 61}, {66, 101}, {74, 109}, {82, 117}, {90, 125}, {5, 40}, {7, 42}, {21, 56}, {23, 58}, {69, 104}, {71, 106}, {85, 120}, {87, 122}, {6, 41}, {22, 57}, {70, 105}, {86, 121}, {13, 48}, {15, 50}, {77, 112}, {79, 114}, {14, 49}, {31, 32}, {78, 113}, {95, 96}, {29, 64}, {63, 98}, {61, 96}, {31, 66}, {30, 65}, {62, 97}, {32, 67}, {60, 95}, {56, 91}, {52, 87}, {48, 83}, {44, 79}, {40, 75}, {36, 71}, {33, 68}, {59, 94}, {57, 92}, {51, 86}, {49, 84}, {43, 78}, {41, 76}, {35, 70}, {34, 69}, {58, 93}, {50, 85}, {42, 77}, {37, 72}, {55, 90}, {53, 88}, {39, 74}, {38, 73}, {54, 89}, {1, 119}, {8, 126}, {9, 127}, {2, 120}, {3, 121}, {6, 124}, {7, 125}, {45, 80}, {47, 82}, {4, 122}, {5, 123}, {46, 81}, {63, 64}, {10, 128}, {11, 129}, {14, 132}, {15, 133}, {26, 144}, {27, 145}, {30, 148}, {31, 149}, {12, 130}, {13, 131}, {28, 146}, {29, 147}, {16, 134}, {17, 135}, {24, 142}, {25, 143}, {1, 153}, {18, 136}, {19, 137}, {22, 140}, {23, 141}, {20, 138}, {21, 139}, {32, 150}, {33, 151}, {34, 152}, {35, 153}, {93, 128}, {95, 130}, {94, 129}, {96, 131}, {100, 135}, {104, 139}, {108, 143}, {112, 147}, {116, 151}, {97, 132}, {99, 134}, {105, 140}, {107, 142}, {113, 148}, {115, 150}, {98, 133}, {106, 141}, {114, 149}, {101, 136}, {103, 138}, {117, 152}, {102, 137}, {118, 153}, {109, 144}, {111, 146}, {110, 145}, {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: (2, 36)(3, 71)(4, 106)(5, 141)(6, 23)(7, 58)(8, 93)(9, 128)(11, 45)(12, 80)(13, 115)(14, 150)(15, 32)(16, 67)(17, 102)(18, 137)(20, 54)(21, 89)(22, 124)(24, 41)(25, 76)(26, 111)(27, 146)(29, 63)(30, 98)(31, 133)(33, 50)(34, 85)(35, 120)(38, 72)(39, 107)(40, 142)(42, 59)(43, 94)(44, 129)(47, 81)(48, 116)(49, 151)(51, 68)(52, 103)(53, 138)(56, 90)(57, 125)(60, 77)(61, 112)(62, 147)(65, 99)(66, 134)(69, 86)(70, 121)(74, 108)(75, 143)(78, 95)(79, 130)(83, 117)(84, 152)(87, 104)(88, 139)(92, 126)(96, 113)(97, 148)(101, 135)(105, 122)(110, 144)(114, 131)(119, 153)(123, 140)(132, 149)
b: (2, 119)(3, 84)(4, 49)(5, 14)(6, 132)(7, 97)(8, 62)(9, 27)(10, 145)(11, 110)(12, 75)(13, 40)(15, 123)(16, 88)(17, 53)(19, 136)(20, 101)(21, 66)(22, 31)(23, 149)(24, 114)(25, 79)(26, 44)(28, 127)(29, 92)(30, 57)(32, 140)(33, 105)(34, 70)(36, 153)(37, 118)(38, 83)(39, 48)(41, 131)(42, 96)(43, 61)(45, 144)(46, 109)(47, 74)(50, 122)(51, 87)(54, 135)(55, 100)(56, 65)(58, 148)(59, 113)(60, 78)(63, 126)(64, 91)(67, 139)(68, 104)(71, 152)(72, 117)(73, 82)(76, 130)(77, 95)(80, 143)(81, 108)(85, 121)(89, 134)(90, 99)(93, 147)(94, 112)(98, 125)(102, 138)(106, 151)(107, 116)(111, 129)(115, 142)(124, 133)(128, 146)(141, 150)
c: (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, 151, 152, 153)

(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[ 153, 1 ]
153
-1 2 36 119 153
-2 1 3 37 120
-3 121 2 4 38
-4 122 3 5 39
-5 123 4 6 40
-6 124 5 7 41
-7 125 6 8 42
-8 126 7 9 43
-9 44 127 8 10
-10 11 45 128 9
-11 12 46 129 10
-12 11 13 47 130
-13 12 14 48 131
-14 132 13 15 49
-15 133 14 16 50
-16 134 15 17 51
-17 135 16 18 52
-18 136 17 19 53
-19 137 18 20 54
-20 55 138 19 21
-21 22 56 139 20
-22 23 57 140 21
-23 22 24 58 141
-24 23 25 59 142
-25 143 24 26 60
-26 144 25 27 61
-27 145 26 28 62
-28 146 27 29 63
-29 147 28 30 64
-30 148 29 31 65
-31 66 149 30 32
-32 33 67 150 31
-33 34 68 151 32
-34 33 35 69 152
-35 34 36 70 153
-36 1 35 37 71
-37 2 36 38 72
-38 3 37 39 73
-39 4 38 40 74
-40 5 39 41 75
-41 6 40 42 76
-42 77 7 41 43
-43 44 78 8 42
-44 45 79 9 43
-45 44 46 80 10
-46 11 45 47 81
-47 12 46 48 82
-48 13 47 49 83
-49 14 48 50 84
-50 15 49 51 85
-51 16 50 52 86
-52 17 51 53 87
-53 88 18 52 54
-54 55 89 19 53
-55 56 90 20 54
-56 55 57 91 21
-57 22 56 58 92
-58 23 57 59 93
-59 24 58 60 94
-60 25 59 61 95
-61 26 60 62 96
-62 27 61 63 97
-63 28 62 64 98
-64 99 29 63 65
-65 66 100 30 64
-66 67 101 31 65
-67 66 68 102 32
-68 33 67 69 103
-69 34 68 70 104
-70 35 69 71 105
-71 36 70 72 106
-72 37 71 73 107
-73 38 72 74 108
-74 39 73 75 109
-75 110 40 74 76
-76 77 111 41 75
-77 78 112 42 76
-78 77 79 113 43
-79 44 78 80 114
-80 45 79 81 115
-81 46 80 82 116
-82 47 81 83 117
-83 48 82 84 118
-84 49 83 85 119
-85 50 84 86 120
-86 121 51 85 87
-87 88 122 52 86
-88 89 123 53 87
-89 88 90 124 54
-90 55 89 91 125
-91 56 90 92 126
-92 57 91 93 127
-93 58 92 94 128
-94 59 93 95 129
-95 60 94 96 130
-96 61 95 97 131
-97 132 62 96 98
-98 99 133 63 97
-99 100 134 64 98
-100 99 101 135 65
-101 66 100 102 136
-102 67 101 103 137
-103 68 102 104 138
-104 69 103 105 139
-105 70 104 106 140
-106 71 105 107 141
-107 72 106 108 142
-108 143 73 107 109
-109 110 144 74 108
-110 111 145 75 109
-111 110 112 146 76
-112 77 111 113 147
-113 78 112 114 148
-114 79 113 115 149
-115 80 114 116 150
-116 81 115 117 151
-117 82 116 118 152
-118 83 117 119 153
-119 1 84 118 120
-120 121 2 85 119
-121 122 3 86 120
-122 121 123 4 87
-123 88 122 124 5
-124 89 123 125 6
-125 90 124 126 7
-126 91 125 127 8
-127 92 126 128 9
-128 93 127 129 10
-129 11 94 128 130
-130 12 95 129 131
-131 132 13 96 130
-132 133 14 97 131
-133 132 134 15 98
-134 99 133 135 16
-135 100 134 136 17
-136 101 135 137 18
-137 102 136 138 19
-138 103 137 139 20
-139 104 138 140 21
-140 22 105 139 141
-141 23 106 140 142
-142 143 24 107 141
-143 144 25 108 142
-144 143 145 26 109
-145 110 144 146 27
-146 111 145 147 28
-147 112 146 148 29
-148 113 147 149 30
-149 114 148 150 31
-150 115 149 151 32
-151 33 116 150 152
-152 34 117 151 153
-153 1 35 118 152
0

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