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On this page are computer-accessible forms for the graph C4[ 156, 4 ] = {4,4}_<16,10>.

(I) Following is a form readable by MAGMA:

g:=Graph<156|{ {2, 3}, {154, 155}, {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}, {118, 119}, {116, 117}, {114, 115}, {112, 113}, {52, 53}, {50, 51}, {48, 49}, {46, 47}, {44, 45}, {42, 43}, {40, 41}, {38, 39}, {36, 37}, {34, 35}, {32, 33}, {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}, {54, 55}, {56, 57}, {58, 59}, {60, 61}, {62, 63}, {64, 65}, {66, 67}, {68, 69}, {70, 71}, {72, 73}, {74, 75}, {76, 77}, {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}, {1, 2}, {153, 154}, {149, 150}, {145, 146}, {141, 142}, {137, 138}, {133, 134}, {129, 130}, {125, 126}, {121, 122}, {117, 118}, {113, 114}, {53, 54}, {49, 50}, {45, 46}, {41, 42}, {37, 38}, {33, 34}, {5, 6}, {9, 10}, {13, 14}, {17, 18}, {21, 22}, {25, 26}, {29, 30}, {57, 58}, {61, 62}, {65, 66}, {69, 70}, {73, 74}, {77, 78}, {81, 82}, {85, 86}, {89, 90}, {93, 94}, {97, 98}, {101, 102}, {105, 106}, {109, 110}, {3, 4}, {155, 156}, {147, 148}, {139, 140}, {131, 132}, {123, 124}, {115, 116}, {51, 52}, {43, 44}, {35, 36}, {11, 12}, {19, 20}, {27, 28}, {59, 60}, {67, 68}, {75, 76}, {83, 84}, {91, 92}, {99, 100}, {107, 108}, {7, 8}, {151, 152}, {135, 136}, {119, 120}, {39, 40}, {23, 24}, {55, 56}, {71, 72}, {87, 88}, {103, 104}, {64, 92}, {65, 93}, {66, 94}, {67, 95}, {15, 16}, {143, 144}, {47, 48}, {79, 80}, {111, 112}, {68, 96}, {69, 97}, {70, 98}, {71, 99}, {76, 104}, {77, 105}, {78, 106}, {72, 100}, {73, 101}, {74, 102}, {75, 103}, {31, 32}, {95, 96}, {1, 79}, {49, 127}, {48, 126}, {33, 111}, {32, 110}, {16, 94}, {17, 95}, {1, 78}, {2, 80}, {47, 125}, {46, 124}, {43, 121}, {42, 120}, {39, 117}, {38, 116}, {35, 113}, {34, 112}, {3, 81}, {6, 84}, {7, 85}, {10, 88}, {11, 89}, {14, 92}, {15, 93}, {4, 82}, {45, 123}, {44, 122}, {37, 115}, {36, 114}, {5, 83}, {12, 90}, {13, 91}, {8, 86}, {41, 119}, {40, 118}, {9, 87}, {52, 80}, {53, 81}, {54, 82}, {55, 83}, {60, 88}, {61, 89}, {62, 90}, {63, 91}, {1, 107}, {4, 110}, {5, 111}, {16, 122}, {17, 123}, {20, 126}, {21, 127}, {56, 84}, {57, 85}, {58, 86}, {59, 87}, {2, 108}, {3, 109}, {18, 124}, {19, 125}, {18, 96}, {19, 97}, {22, 100}, {23, 101}, {26, 104}, {27, 105}, {30, 108}, {31, 109}, {6, 112}, {7, 113}, {14, 120}, {15, 121}, {20, 98}, {21, 99}, {28, 106}, {29, 107}, {8, 114}, {9, 115}, {12, 118}, {13, 119}, {51, 79}, {10, 116}, {11, 117}, {24, 102}, {25, 103}, {63, 64}, {22, 128}, {23, 129}, {30, 136}, {31, 137}, {24, 130}, {25, 131}, {28, 134}, {29, 135}, {26, 132}, {27, 133}, {32, 138}, {49, 155}, {48, 154}, {37, 143}, {36, 142}, {33, 139}, {34, 140}, {50, 156}, {35, 141}, {50, 128}, {51, 129}, {54, 132}, {55, 133}, {58, 136}, {59, 137}, {62, 140}, {63, 141}, {38, 144}, {52, 130}, {47, 153}, {46, 152}, {39, 145}, {53, 131}, {60, 138}, {61, 139}, {40, 146}, {45, 151}, {44, 150}, {41, 147}, {42, 148}, {43, 149}, {56, 134}, {57, 135}, {64, 142}, {65, 143}, {66, 144}, {67, 145}, {70, 148}, {71, 149}, {74, 152}, {75, 153}, {78, 156}, {79, 156}, {68, 146}, {69, 147}, {76, 154}, {77, 155}, {72, 150}, {73, 151}, {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, 78)(3, 77)(4, 76)(5, 75)(6, 74)(7, 73)(8, 72)(9, 71)(10, 70)(11, 69)(12, 68)(13, 67)(14, 66)(15, 65)(16, 64)(17, 63)(18, 62)(19, 61)(20, 60)(21, 59)(22, 58)(23, 57)(24, 56)(25, 55)(26, 54)(27, 53)(28, 52)(29, 51)(30, 50)(31, 49)(32, 48)(33, 47)(34, 46)(35, 45)(36, 44)(37, 43)(38, 42)(39, 41)(79, 107)(80, 106)(81, 105)(82, 104)(83, 103)(84, 102)(85, 101)(86, 100)(87, 99)(88, 98)(89, 97)(90, 96)(91, 95)(92, 94)(108, 156)(109, 155)(110, 154)(111, 153)(112, 152)(113, 151)(114, 150)(115, 149)(116, 148)(117, 147)(118, 146)(119, 145)(120, 144)(121, 143)(122, 142)(123, 141)(124, 140)(125, 139)(126, 138)(127, 137)(128, 136)(129, 135)(130, 134)(131, 133)
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, 151, 152, 153, 154, 155, 156)
c: (2, 79)(3, 51)(4, 129)(5, 23)(6, 101)(7, 73)(8, 151)(9, 45)(10, 123)(11, 17)(12, 95)(13, 67)(14, 145)(15, 39)(16, 117)(18, 89)(19, 61)(20, 139)(21, 33)(22, 111)(24, 83)(25, 55)(26, 133)(28, 105)(29, 77)(30, 155)(31, 49)(32, 127)(34, 99)(35, 71)(36, 149)(37, 43)(38, 121)(40, 93)(41, 65)(42, 143)(44, 115)(46, 87)(47, 59)(48, 137)(50, 109)(52, 81)(54, 131)(56, 103)(57, 75)(58, 153)(60, 125)(62, 97)(63, 69)(64, 147)(66, 119)(68, 91)(70, 141)(72, 113)(74, 85)(76, 135)(78, 107)(82, 130)(84, 102)(86, 152)(88, 124)(90, 96)(92, 146)(94, 118)(98, 140)(100, 112)(104, 134)(108, 156)(110, 128)(114, 150)(116, 122)(120, 144)(126, 138)(136, 154)(142, 148)

(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[ 156, 4 ]
156
-1 78 2 79 107
-2 1 3 80 108
-3 2 4 81 109
-4 110 3 5 82
-5 111 4 6 83
-6 112 5 7 84
-7 113 6 8 85
-8 114 7 9 86
-9 115 8 10 87
-10 11 88 116 9
-11 12 89 117 10
-12 11 13 90 118
-13 12 14 91 119
-14 13 15 92 120
-15 121 14 16 93
-16 122 15 17 94
-17 123 16 18 95
-18 124 17 19 96
-19 125 18 20 97
-20 126 19 21 98
-21 22 99 127 20
-22 23 100 128 21
-23 22 24 101 129
-24 23 25 102 130
-25 24 26 103 131
-26 132 25 27 104
-27 133 26 28 105
-28 134 27 29 106
-29 135 28 30 107
-30 136 29 31 108
-31 137 30 32 109
-32 33 110 138 31
-33 34 111 139 32
-34 33 35 112 140
-35 34 36 113 141
-36 35 37 114 142
-37 143 36 38 115
-38 144 37 39 116
-39 145 38 40 117
-40 146 39 41 118
-41 147 40 42 119
-42 148 41 43 120
-43 44 121 149 42
-44 45 122 150 43
-45 44 46 123 151
-46 45 47 124 152
-47 46 48 125 153
-48 154 47 49 126
-49 155 48 50 127
-50 156 49 51 128
-51 79 50 52 129
-52 80 51 53 130
-53 81 52 54 131
-54 55 132 82 53
-55 56 133 83 54
-56 55 57 134 84
-57 56 58 135 85
-58 57 59 136 86
-59 58 60 137 87
-60 88 59 61 138
-61 89 60 62 139
-62 90 61 63 140
-63 91 62 64 141
-64 92 63 65 142
-65 66 143 93 64
-66 67 144 94 65
-67 66 68 145 95
-68 67 69 146 96
-69 68 70 147 97
-70 69 71 148 98
-71 99 70 72 149
-72 100 71 73 150
-73 101 72 74 151
-74 102 73 75 152
-75 103 74 76 153
-76 77 154 104 75
-77 78 155 105 76
-78 77 1 156 106
-79 1 156 80 51
-80 2 79 81 52
-81 3 80 82 53
-82 4 81 83 54
-83 55 5 82 84
-84 56 6 83 85
-85 57 7 84 86
-86 58 8 85 87
-87 88 59 9 86
-88 89 60 10 87
-89 11 88 90 61
-90 12 89 91 62
-91 13 90 92 63
-92 14 91 93 64
-93 15 92 94 65
-94 66 16 93 95
-95 67 17 94 96
-96 68 18 95 97
-97 69 19 96 98
-98 99 70 20 97
-99 100 71 21 98
-100 22 99 101 72
-101 23 100 102 73
-102 24 101 103 74
-103 25 102 104 75
-104 26 103 105 76
-105 77 27 104 106
-106 78 28 105 107
-107 1 29 106 108
-108 2 30 107 109
-109 110 3 31 108
-110 111 4 32 109
-111 33 110 112 5
-112 34 111 113 6
-113 35 112 114 7
-114 36 113 115 8
-115 37 114 116 9
-116 38 115 117 10
-117 11 39 116 118
-118 12 40 117 119
-119 13 41 118 120
-120 121 14 42 119
-121 122 15 43 120
-122 44 121 123 16
-123 45 122 124 17
-124 46 123 125 18
-125 47 124 126 19
-126 48 125 127 20
-127 49 126 128 21
-128 22 50 127 129
-129 23 51 128 130
-130 24 52 129 131
-131 132 25 53 130
-132 133 26 54 131
-133 55 132 134 27
-134 56 133 135 28
-135 57 134 136 29
-136 58 135 137 30
-137 59 136 138 31
-138 60 137 139 32
-139 33 61 138 140
-140 34 62 139 141
-141 35 63 140 142
-142 143 36 64 141
-143 144 37 65 142
-144 66 143 145 38
-145 67 144 146 39
-146 68 145 147 40
-147 69 146 148 41
-148 70 147 149 42
-149 71 148 150 43
-150 44 72 149 151
-151 45 73 150 152
-152 46 74 151 153
-153 154 47 75 152
-154 155 48 76 153
-155 77 154 156 49
-156 78 155 79 50
0

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