C4graphGraph forms for C4 [ 160, 63 ] = UG(Cmap(320,26){8,4|5}_20)

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On this page are computer-accessible forms for the graph C4[ 160, 63 ] = UG(Cmap(320,26){8,4|5}_20).

(I) Following is a form readable by MAGMA:

g:=Graph<160|{ {2, 3}, {158, 159}, {124, 125}, {4, 6}, {1, 2}, {140, 143}, {74, 78}, {131, 135}, {107, 111}, {1, 4}, {10, 15}, {8, 13}, {99, 102}, {1, 7}, {104, 110}, {3, 5}, {9, 14}, {120, 127}, {16, 23}, {69, 77}, {133, 141}, {17, 24}, {36, 45}, {20, 29}, {86, 92}, {144, 154}, {103, 109}, {1, 10}, {129, 138}, {18, 25}, {7, 11}, {148, 152}, {146, 158}, {133, 137}, {5, 8}, {48, 61}, {2, 12}, {32, 46}, {6, 9}, {147, 156}, {117, 122}, {19, 28}, {3, 19}, {46, 62}, {40, 56}, {4, 20}, {75, 91}, {76, 92}, {36, 53}, {128, 145}, {103, 118}, {44, 61}, {42, 59}, {40, 57}, {38, 55}, {64, 81}, {70, 87}, {33, 51}, {108, 126}, {100, 118}, {2, 17}, {130, 145}, {108, 127}, {41, 58}, {37, 54}, {34, 49}, {71, 84}, {96, 115}, {46, 58}, {107, 127}, {70, 83}, {131, 150}, {110, 123}, {72, 93}, {97, 116}, {140, 154}, {35, 52}, {132, 147}, {104, 127}, {43, 60}, {64, 87}, {67, 84}, {3, 26}, {141, 148}, {140, 149}, {15, 22}, {13, 20}, {6, 31}, {65, 88}, {67, 90}, {69, 92}, {96, 121}, {98, 123}, {100, 125}, {5, 30}, {111, 116}, {45, 54}, {14, 21}, {11, 16}, {66, 89}, {101, 126}, {136, 148}, {143, 146}, {12, 18}, {105, 119}, {72, 86}, {4, 27}, {136, 151}, {130, 157}, {39, 56}, {68, 91}, {99, 124}, {85, 117}, {76, 109}, {80, 114}, {85, 119}, {23, 52}, {76, 104}, {81, 117}, {79, 105}, {94, 120}, {7, 32}, {25, 62}, {8, 47}, {95, 120}, {94, 119}, {5, 41}, {7, 43}, {6, 42}, {73, 101}, {74, 102}, {75, 103}, {78, 97}, {89, 118}, {73, 121}, {30, 44}, {31, 45}, {85, 103}, {66, 113}, {71, 115}, {148, 160}, {21, 32}, {29, 40}, {23, 34}, {87, 98}, {95, 105}, {8, 63}, {22, 33}, {9, 48}, {11, 50}, {17, 43}, {72, 114}, {10, 49}, {28, 39}, {24, 35}, {69, 121}, {81, 109}, {82, 110}, {25, 36}, {27, 38}, {82, 108}, {88, 102}, {12, 51}, {159, 160}, {26, 37}, {68, 123}, {90, 101}, {23, 86}, {48, 115}, {13, 73}, {52, 112}, {15, 75}, {14, 74}, {42, 111}, {9, 64}, {11, 66}, {41, 99}, {10, 65}, {34, 105}, {37, 104}, {42, 100}, {12, 67}, {37, 106}, {14, 95}, {43, 122}, {13, 94}, {36, 119}, {26, 67}, {33, 120}, {27, 65}, {16, 76}, {45, 113}, {19, 79}, {18, 78}, {17, 77}, {61, 95}, {57, 93}, {55, 80}, {56, 81}, {58, 83}, {63, 86}, {58, 80}, {47, 68}, {57, 82}, {62, 85}, {25, 116}, {31, 114}, {29, 112}, {15, 96}, {30, 113}, {59, 84}, {18, 98}, {20, 100}, {19, 99}, {16, 97}, {33, 80}, {28, 111}, {24, 108}, {27, 110}, {50, 71}, {48, 69}, {44, 89}, {26, 109}, {49, 70}, {47, 87}, {53, 77}, {60, 68}, {39, 93}, {51, 72}, {52, 79}, {22, 107}, {56, 70}, {57, 71}, {21, 106}, {21, 128}, {22, 129}, {29, 132}, {31, 134}, {24, 130}, {30, 133}, {28, 131}, {60, 156}, {54, 151}, {40, 138}, {50, 144}, {60, 158}, {44, 143}, {61, 158}, {35, 134}, {49, 151}, {32, 135}, {41, 142}, {34, 139}, {50, 152}, {55, 157}, {54, 156}, {51, 153}, {38, 141}, {53, 155}, {35, 140}, {55, 152}, {38, 150}, {59, 139}, {62, 142}, {59, 137}, {39, 146}, {63, 133}, {46, 149}, {47, 144}, {53, 138}, {63, 128}, {89, 153}, {88, 154}, {88, 155}, {91, 159}, {66, 135}, {90, 159}, {64, 134}, {92, 155}, {78, 132}, {73, 132}, {65, 143}, {83, 157}, {84, 154}, {94, 144}, {77, 157}, {90, 139}, {83, 139}, {79, 150}, {75, 145}, {91, 129}, {74, 145}, {82, 142}, {124, 160}, {93, 128}, {126, 160}, {101, 135}, {107, 137}, {106, 136}, {125, 153}, {112, 149}, {116, 146}, {124, 155}, {122, 147}, {123, 150}, {114, 156}, {112, 129}, {122, 137}, {118, 130}, {102, 147}, {125, 136}, {96, 151}, {117, 141}, {126, 134}, {97, 152}, {121, 131}, {98, 153}, {113, 138}, {115, 142}, {106, 149} }>;

(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, 7)(3, 11)(4, 10)(5, 16)(6, 15)(8, 23)(9, 22)(12, 32)(13, 34)(14, 33)(17, 43)(18, 46)(19, 50)(20, 49)(21, 51)(24, 60)(25, 62)(26, 66)(27, 65)(28, 71)(29, 70)(30, 76)(31, 75)(35, 68)(36, 85)(37, 89)(38, 88)(39, 57)(40, 56)(41, 97)(42, 96)(44, 104)(45, 103)(47, 52)(48, 107)(53, 117)(54, 118)(55, 102)(58, 78)(59, 121)(61, 127)(63, 86)(64, 129)(67, 135)(69, 137)(72, 128)(73, 139)(74, 80)(77, 122)(79, 144)(81, 138)(82, 146)(83, 132)(84, 131)(87, 112)(90, 101)(91, 134)(92, 133)(94, 105)(95, 120)(98, 149)(99, 152)(100, 151)(106, 153)(108, 158)(109, 113)(110, 143)(111, 115)(114, 145)(116, 142)(123, 140)(124, 148)(125, 136)(126, 159)(130, 156)(141, 155)(147, 157)(150, 154)
b: (2, 4, 7, 10)(3, 6, 11, 15)(5, 9, 16, 22)(8, 14, 23, 33)(12, 20, 32, 49)(13, 21, 34, 51)(17, 27, 43, 65)(18, 29, 46, 70)(19, 31, 50, 75)(24, 38, 60, 88)(25, 40, 62, 56)(26, 42, 66, 96)(28, 45, 71, 103)(30, 48, 76, 107)(35, 55, 68, 102)(36, 57, 85, 39)(37, 59, 89, 121)(41, 64, 97, 129)(44, 69, 104, 137)(47, 74, 52, 80)(53, 82, 117, 146)(54, 84, 118, 131)(58, 87, 78, 112)(61, 92, 127, 133)(63, 95, 86, 120)(67, 100, 135, 151)(72, 94, 128, 105)(73, 106, 139, 153)(77, 110, 122, 143)(79, 114, 144, 145)(81, 116, 138, 142)(83, 98, 132, 149)(90, 125, 101, 136)(91, 99, 134, 152)(93, 119)(108, 141, 158, 155)(109, 111, 113, 115)(123, 147, 140, 157)(124, 126, 148, 159)(130, 150, 156, 154)
c: (1, 2, 17, 43, 7)(3, 24, 122, 32, 4)(5, 35, 137, 46, 6)(8, 52, 107, 62, 9)(10, 12, 77, 60, 11)(13, 79, 127, 85, 14)(15, 18, 69, 68, 16)(19, 108, 117, 21, 20)(22, 25, 48, 47, 23)(26, 130, 147, 135, 27)(28, 82, 81, 128, 29)(30, 140, 59, 58, 31)(33, 36, 61, 144, 34)(37, 118, 102, 101, 38)(39, 57, 56, 93, 40)(41, 134, 133, 149, 42)(44, 154, 139, 80, 45)(49, 51, 53, 158, 50)(54, 89, 88, 90, 55)(63, 112, 111, 142, 64)(65, 67, 157, 156, 66)(70, 72, 138, 146, 71)(73, 150, 104, 103, 74)(75, 78, 121, 123, 76)(83, 114, 113, 143, 84)(86, 129, 116, 115, 87)(91, 97, 96, 98, 92)(94, 105, 120, 119, 95)(99, 126, 141, 106, 100)(109, 145, 132, 131, 110)(124, 160, 148, 136, 125)(151, 153, 155, 159, 152)

(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[ 160, 63 ]
160
-1 2 4 7 10
-2 1 12 3 17
-3 2 26 5 19
-4 1 27 6 20
-5 3 8 30 41
-6 4 9 31 42
-7 11 1 32 43
-8 13 47 5 63
-9 14 48 6 64
-10 1 15 49 65
-11 66 16 50 7
-12 67 2 18 51
-13 94 73 8 20
-14 95 74 9 21
-15 22 96 75 10
-16 11 23 97 76
-17 77 2 24 43
-18 12 78 25 98
-19 99 79 3 28
-20 100 13 4 29
-21 14 106 128 32
-22 33 15 107 129
-23 34 16 52 86
-24 35 17 108 130
-25 36 116 18 62
-26 67 3 37 109
-27 110 4 38 65
-28 111 39 19 131
-29 132 112 40 20
-30 44 133 113 5
-31 45 134 114 6
-32 46 135 7 21
-33 22 80 51 120
-34 23 49 105 139
-35 24 134 52 140
-36 45 25 53 119
-37 26 104 106 54
-38 55 27 150 141
-39 56 146 93 28
-40 56 57 138 29
-41 99 58 5 142
-42 100 111 59 6
-43 122 60 17 7
-44 143 89 61 30
-45 36 113 31 54
-46 58 149 62 32
-47 144 68 8 87
-48 69 115 61 9
-49 34 70 151 10
-50 11 144 71 152
-51 33 12 72 153
-52 23 35 79 112
-53 77 155 36 138
-54 45 156 37 151
-55 80 157 38 152
-56 70 81 39 40
-57 71 82 93 40
-58 46 80 83 41
-59 137 84 139 42
-60 68 156 158 43
-61 44 48 158 95
-62 46 25 85 142
-63 133 128 8 86
-64 134 81 9 87
-65 88 143 27 10
-66 11 89 113 135
-67 12 90 26 84
-68 123 47 91 60
-69 77 121 48 92
-70 56 49 83 87
-71 57 115 50 84
-72 114 93 51 86
-73 121 132 13 101
-74 78 145 14 102
-75 145 91 15 103
-76 92 16 104 109
-77 69 157 17 53
-78 132 18 74 97
-79 105 150 19 52
-80 33 55 58 114
-81 56 117 64 109
-82 110 57 108 142
-83 58 157 70 139
-84 154 67 59 71
-85 103 62 117 119
-86 23 92 72 63
-87 47 70 64 98
-88 154 155 102 65
-89 44 66 118 153
-90 67 101 159 139
-91 68 159 129 75
-92 155 69 86 76
-93 57 39 72 128
-94 144 13 119 120
-95 14 61 105 120
-96 121 15 115 151
-97 78 16 116 152
-98 123 18 87 153
-99 102 124 19 41
-100 125 118 20 42
-101 90 135 126 73
-102 88 99 147 74
-103 85 118 75 109
-104 110 37 127 76
-105 34 79 95 119
-106 37 136 149 21
-107 22 111 137 127
-108 24 82 126 127
-109 26 81 103 76
-110 123 27 82 104
-111 28 116 107 42
-112 149 29 52 129
-113 66 45 138 30
-114 156 80 72 31
-115 48 71 96 142
-116 111 25 146 97
-117 122 81 85 141
-118 89 100 103 130
-119 36 94 105 85
-120 33 94 127 95
-121 69 73 96 131
-122 147 137 117 43
-123 110 68 150 98
-124 99 155 125 160
-125 100 124 136 153
-126 101 134 160 108
-127 104 107 108 120
-128 145 93 63 21
-129 22 112 91 138
-130 24 145 157 118
-131 121 135 28 150
-132 78 147 29 73
-133 137 30 63 141
-134 35 126 31 64
-135 66 101 32 131
-136 125 148 106 151
-137 122 133 59 107
-138 113 40 129 53
-139 34 90 59 83
-140 143 154 35 149
-141 133 38 148 117
-142 82 115 62 41
-143 44 146 140 65
-144 154 47 50 94
-145 128 74 75 130
-146 143 158 39 116
-147 132 122 156 102
-148 136 160 141 152
-149 46 112 106 140
-150 79 123 38 131
-151 136 49 96 54
-152 55 148 50 97
-153 89 125 51 98
-154 88 144 84 140
-155 88 124 92 53
-156 114 147 60 54
-157 55 77 83 130
-158 146 60 159 61
-159 90 91 158 160
-160 124 126 148 159
0

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