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On this page are computer-accessible forms for the graph C4[ 180, 23 ] = UG(ATD[180,9]).

(I) Following is a form readable by MAGMA:

g:=Graph<180|{ {30, 31}, {156, 157}, {60, 61}, {168, 171}, {147, 151}, {1, 7}, {153, 159}, {57, 63}, {166, 174}, {36, 45}, {149, 156}, {146, 155}, {144, 153}, {102, 109}, {164, 175}, {1, 13}, {165, 169}, {4, 8}, {99, 111}, {6, 11}, {161, 172}, {114, 124}, {148, 154}, {5, 10}, {163, 172}, {162, 173}, {33, 46}, {10, 26}, {139, 155}, {135, 151}, {32, 48}, {70, 86}, {12, 29}, {163, 178}, {160, 177}, {1, 19}, {166, 180}, {6, 20}, {2, 16}, {71, 85}, {75, 89}, {96, 114}, {98, 112}, {4, 23}, {161, 178}, {138, 153}, {110, 125}, {107, 120}, {68, 87}, {78, 90}, {167, 179}, {140, 152}, {111, 123}, {3, 22}, {137, 156}, {4, 17}, {66, 87}, {5, 18}, {141, 154}, {109, 122}, {11, 28}, {101, 114}, {67, 90}, {132, 157}, {105, 117}, {35, 62}, {74, 87}, {1, 31}, {134, 152}, {129, 159}, {33, 63}, {7, 25}, {104, 118}, {73, 86}, {108, 115}, {2, 34}, {144, 176}, {140, 172}, {131, 163}, {130, 162}, {18, 50}, {15, 47}, {12, 44}, {80, 112}, {147, 178}, {14, 45}, {142, 173}, {22, 53}, {20, 48}, {143, 171}, {28, 56}, {23, 51}, {6, 35}, {136, 173}, {128, 165}, {30, 59}, {19, 54}, {16, 53}, {10, 47}, {14, 40}, {146, 180}, {130, 164}, {3, 36}, {150, 177}, {141, 170}, {137, 174}, {29, 58}, {9, 46}, {13, 37}, {24, 50}, {134, 172}, {133, 175}, {91, 113}, {7, 43}, {133, 169}, {25, 55}, {158, 176}, {157, 179}, {23, 39}, {94, 111}, {77, 127}, {21, 38}, {24, 43}, {93, 110}, {31, 43}, {158, 170}, {76, 120}, {65, 116}, {135, 178}, {66, 119}, {159, 169}, {26, 34}, {152, 160}, {145, 169}, {16, 41}, {155, 162}, {29, 36}, {23, 46}, {68, 125}, {71, 126}, {84, 109}, {7, 61}, {138, 176}, {27, 33}, {21, 47}, {15, 52}, {156, 167}, {149, 174}, {136, 179}, {17, 42}, {13, 49}, {153, 165}, {20, 40}, {16, 44}, {70, 122}, {73, 116}, {150, 171}, {142, 179}, {78, 115}, {69, 123}, {154, 164}, {148, 170}, {145, 175}, {143, 177}, {75, 117}, {79, 113}, {17, 46}, {151, 168}, {139, 180}, {22, 41}, {81, 110}, {11, 75}, {38, 100}, {61, 127}, {9, 74}, {27, 88}, {11, 72}, {8, 76}, {39, 99}, {28, 89}, {10, 77}, {15, 72}, {8, 64}, {49, 121}, {30, 86}, {14, 70}, {62, 118}, {48, 121}, {63, 117}, {9, 66}, {42, 97}, {9, 69}, {25, 85}, {54, 122}, {12, 65}, {51, 126}, {8, 70}, {13, 67}, {12, 67}, {52, 123}, {41, 102}, {19, 67}, {44, 124}, {55, 103}, {49, 96}, {51, 98}, {59, 106}, {4, 86}, {58, 104}, {22, 69}, {49, 101}, {2, 87}, {18, 71}, {31, 73}, {50, 100}, {43, 125}, {42, 125}, {45, 122}, {54, 97}, {60, 107}, {39, 126}, {3, 89}, {38, 124}, {24, 68}, {37, 121}, {5, 88}, {21, 72}, {15, 111}, {50, 82}, {32, 64}, {18, 113}, {51, 80}, {27, 120}, {20, 112}, {53, 81}, {33, 69}, {62, 90}, {36, 65}, {48, 85}, {34, 68}, {21, 114}, {52, 83}, {32, 71}, {63, 88}, {53, 93}, {61, 85}, {24, 113}, {30, 119}, {25, 115}, {54, 92}, {37, 79}, {35, 72}, {52, 95}, {26, 118}, {32, 76}, {35, 78}, {34, 77}, {58, 74}, {60, 77}, {57, 75}, {38, 82}, {45, 89}, {42, 92}, {44, 90}, {40, 95}, {47, 88}, {3, 123}, {56, 64}, {39, 94}, {55, 78}, {59, 66}, {5, 126}, {40, 83}, {41, 84}, {2, 124}, {37, 91}, {19, 109}, {14, 112}, {6, 121}, {17, 110}, {26, 130}, {56, 160}, {27, 128}, {57, 162}, {29, 129}, {57, 164}, {58, 167}, {60, 161}, {56, 166}, {59, 165}, {28, 131}, {55, 157}, {62, 130}, {108, 173}, {81, 147}, {104, 170}, {64, 131}, {79, 139}, {107, 175}, {80, 148}, {65, 132}, {83, 150}, {84, 145}, {105, 174}, {92, 148}, {79, 133}, {74, 129}, {91, 144}, {76, 128}, {103, 171}, {73, 132}, {91, 149}, {93, 146}, {115, 163}, {94, 143}, {118, 167}, {95, 141}, {116, 166}, {92, 136}, {116, 160}, {94, 137}, {127, 168}, {80, 136}, {84, 140}, {95, 135}, {104, 176}, {83, 138}, {120, 161}, {82, 137}, {106, 177}, {93, 134}, {82, 143}, {105, 180}, {81, 142}, {119, 168}, {102, 135}, {127, 158}, {100, 134}, {103, 132}, {97, 133}, {105, 129}, {119, 158}, {97, 139}, {117, 159}, {106, 128}, {102, 141}, {96, 140}, {99, 142}, {101, 138}, {108, 131}, {99, 147}, {103, 151}, {96, 145}, {107, 154}, {98, 144}, {106, 152}, {101, 150}, {100, 146}, {98, 149}, {108, 155} }>;

(II) A more general form is to represent the graph as the orbit of {30, 31} under the group generated by the following permutations:

a: (3, 46)(4, 45)(5, 72)(6, 71)(7, 13)(8, 14)(9, 22)(10, 21)(11, 126)(12, 125)(15, 88)(16, 87)(17, 36)(18, 35)(19, 31)(20, 32)(23, 89)(24, 90)(25, 37)(26, 38)(27, 52)(28, 51)(29, 110)(30, 109)(33, 123)(34, 124)(39, 75)(40, 76)(41, 66)(42, 65)(43, 67)(44, 68)(49, 61)(50, 62)(53, 74)(54, 73)(55, 79)(56, 80)(57, 94)(58, 93)(59, 102)(60, 101)(63, 111)(64, 112)(77, 114)(78, 113)(81, 129)(82, 130)(83, 120)(84, 119)(85, 121)(86, 122)(91, 115)(92, 116)(95, 128)(96, 127)(97, 132)(98, 131)(99, 117)(100, 118)(103, 133)(104, 134)(105, 142)(106, 141)(107, 150)(108, 149)(135, 165)(136, 166)(137, 162)(138, 161)(139, 157)(140, 158)(143, 164)(144, 163)(145, 168)(146, 167)(147, 159)(148, 160)(151, 169)(152, 170)(153, 178)(154, 177)(155, 156)(171, 175)(172, 176)(173, 174)(179, 180)
b: (1, 2)(3, 71)(4, 72)(5, 45)(6, 46)(7, 16)(8, 15)(9, 121)(10, 122)(11, 23)(12, 24)(13, 87)(14, 88)(17, 35)(18, 36)(19, 34)(20, 33)(21, 86)(22, 85)(25, 53)(26, 54)(27, 40)(28, 39)(29, 113)(30, 114)(31, 124)(32, 123)(37, 74)(38, 73)(41, 61)(42, 62)(43, 44)(47, 70)(48, 69)(49, 66)(50, 65)(51, 75)(52, 76)(55, 93)(56, 94)(57, 80)(58, 79)(59, 101)(60, 102)(63, 112)(64, 111)(67, 68)(77, 109)(78, 110)(81, 115)(82, 116)(83, 128)(84, 127)(89, 126)(90, 125)(91, 129)(92, 130)(95, 120)(96, 119)(97, 118)(98, 117)(99, 131)(100, 132)(103, 134)(104, 133)(105, 149)(106, 150)(107, 141)(108, 142)(135, 161)(136, 162)(137, 166)(138, 165)(139, 167)(140, 168)(143, 160)(144, 159)(145, 158)(146, 157)(147, 163)(148, 164)(151, 172)(152, 171)(155, 179)(156, 180)(169, 176)(170, 175)
c: (1, 3, 48, 44, 70, 72)(2, 4, 47, 43, 69, 71)(5, 68, 46)(6, 67, 45)(7, 22, 32, 124, 86, 15)(8, 21, 31, 123, 85, 16)(9, 126, 34, 17, 88, 24)(10, 125, 33, 18, 87, 23)(11, 13, 36, 20, 90, 122)(12, 14, 35, 19, 89, 121)(25, 41, 64, 114, 73, 52)(26, 42, 63, 113, 74, 51)(27, 50, 66, 39, 77, 110)(28, 49, 65, 40, 78, 109)(29, 112, 62, 54, 75, 37)(30, 111, 61, 53, 76, 38)(55, 102, 131, 96, 116, 83)(56, 101, 132, 95, 115, 84)(57, 79, 129, 98, 118, 92)(58, 80, 130, 97, 117, 91)(59, 94, 127, 81, 120, 100)(60, 93, 128, 82, 119, 99)(103, 135, 163, 140, 160, 150)(104, 136, 164, 139, 159, 149)(105, 144, 167, 148, 162, 133)(106, 143, 168, 147, 161, 134)(107, 146, 165, 137, 158, 142)(108, 145, 166, 138, 157, 141)(151, 178, 172, 152, 177, 171)(153, 156, 170, 173, 175, 180)(154, 155, 169, 174, 176, 179)
d: (1, 7, 25, 55, 103, 151, 147, 99, 111, 123, 69, 33, 63, 117, 159, 169, 133, 79, 37, 13)(2, 8, 26, 56, 104, 152, 148, 100, 112, 124, 70, 34, 64, 118, 160, 170, 134, 80, 38, 14)(3, 9, 27, 57, 105, 153, 145, 97, 113, 121, 67, 31, 61, 115, 157, 171, 135, 81, 39, 15)(4, 10, 28, 58, 106, 154, 146, 98, 114, 122, 68, 32, 62, 116, 158, 172, 136, 82, 40, 16)(5, 11, 29, 59, 107, 155, 149, 101, 109, 125, 71, 35, 65, 119, 161, 173, 137, 83, 41, 17)(6, 12, 30, 60, 108, 156, 150, 102, 110, 126, 72, 36, 66, 120, 162, 174, 138, 84, 42, 18)(19, 43, 85, 78, 132, 168, 178, 142, 94, 52, 22, 46, 88, 75, 129, 165, 175, 139, 91, 49)(20, 44, 86, 77, 131, 167, 177, 141, 93, 51, 21, 45, 87, 76, 130, 166, 176, 140, 92, 50)(23, 47, 89, 74, 128, 164, 180, 144, 96, 54, 24, 48, 90, 73, 127, 163, 179, 143, 95, 53)
e: (3, 5)(4, 6)(7, 19)(8, 20)(9, 21)(10, 22)(11, 23)(12, 24)(13, 31)(14, 32)(15, 33)(16, 34)(17, 35)(18, 36)(25, 54)(26, 53)(27, 52)(28, 51)(29, 50)(30, 49)(37, 73)(38, 74)(39, 75)(40, 76)(41, 77)(42, 78)(43, 67)(44, 68)(45, 71)(46, 72)(47, 69)(48, 70)(55, 97)(56, 98)(57, 99)(58, 100)(59, 101)(60, 102)(61, 109)(62, 110)(63, 111)(64, 112)(65, 113)(66, 114)(79, 132)(80, 131)(81, 130)(82, 129)(83, 128)(84, 127)(85, 122)(86, 121)(87, 124)(88, 123)(89, 126)(90, 125)(91, 116)(92, 115)(93, 118)(94, 117)(95, 120)(96, 119)(103, 133)(104, 134)(105, 137)(106, 138)(107, 135)(108, 136)(139, 157)(140, 158)(141, 161)(142, 162)(143, 159)(144, 160)(145, 168)(146, 167)(147, 164)(148, 163)(149, 166)(150, 165)(151, 175)(152, 176)(153, 177)(154, 178)(155, 179)(156, 180)(169, 171)(170, 172)

(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[ 180, 23 ]
180
-1 13 7 19 31
-2 34 124 16 87
-3 22 89 123 36
-4 23 17 8 86
-5 88 126 18 10
-6 11 121 35 20
-7 1 25 61 43
-8 4 70 64 76
-9 66 46 69 74
-10 77 47 26 5
-11 6 28 72 75
-12 44 67 29 65
-13 1 67 37 49
-14 45 112 70 40
-15 111 47 72 52
-16 44 2 41 53
-17 110 46 4 42
-18 113 5 71 50
-19 1 67 54 109
-20 112 48 6 40
-21 47 114 38 72
-22 3 69 41 53
-23 46 4 39 51
-24 68 113 50 43
-25 55 115 7 85
-26 34 118 130 10
-27 33 88 128 120
-28 11 56 89 131
-29 12 36 58 129
-30 59 31 86 119
-31 1 73 30 43
-32 48 71 64 76
-33 46 69 27 63
-34 77 2 68 26
-35 78 6 72 62
-36 45 3 29 65
-37 121 13 79 91
-38 100 124 82 21
-39 99 23 126 94
-40 14 83 95 20
-41 22 102 16 84
-42 92 125 17 97
-43 24 125 7 31
-44 12 90 124 16
-45 89 122 14 36
-46 33 23 17 9
-47 88 15 10 21
-48 121 85 20 32
-49 121 13 101 96
-50 100 24 82 18
-51 23 80 126 98
-52 123 15 83 95
-53 22 81 16 93
-54 122 92 19 97
-55 78 25 157 103
-56 166 28 160 64
-57 63 162 75 164
-58 167 104 29 74
-59 66 165 106 30
-60 77 61 161 107
-61 60 127 7 85
-62 35 90 118 130
-63 33 88 57 117
-64 56 8 32 131
-65 132 12 36 116
-66 59 9 119 87
-67 12 13 90 19
-68 34 24 125 87
-69 22 33 123 9
-70 122 14 8 86
-71 126 18 85 32
-72 11 35 15 21
-73 132 116 31 86
-74 58 129 9 87
-75 11 89 57 117
-76 128 8 32 120
-77 34 60 127 10
-78 55 35 90 115
-79 133 113 37 139
-80 112 136 148 51
-81 110 147 53 142
-82 143 38 137 50
-83 138 40 150 52
-84 145 41 140 109
-85 25 48 71 61
-86 4 70 73 30
-87 66 2 68 74
-88 47 5 27 63
-89 45 3 28 75
-90 44 67 78 62
-91 144 113 37 149
-92 136 148 42 54
-93 110 134 146 53
-94 143 111 137 39
-95 135 40 52 141
-96 145 114 49 140
-97 133 139 42 54
-98 144 112 149 51
-99 111 147 39 142
-100 134 146 38 50
-101 114 49 138 150
-102 135 41 141 109
-103 55 132 171 151
-104 176 58 170 118
-105 180 117 129 174
-106 177 59 128 152
-107 154 60 120 175
-108 155 115 173 131
-109 122 102 84 19
-110 81 125 93 17
-111 99 123 15 94
-112 14 80 20 98
-113 24 79 91 18
-114 101 124 96 21
-115 78 25 108 163
-116 166 160 73 65
-117 159 105 63 75
-118 167 26 104 62
-119 66 168 158 30
-120 27 161 107 76
-121 37 48 49 6
-122 45 70 54 109
-123 111 3 69 52
-124 44 2 114 38
-125 110 68 42 43
-126 5 71 39 51
-127 77 168 158 61
-128 165 27 106 76
-129 159 105 29 74
-130 26 62 162 164
-131 28 64 108 163
-132 157 103 73 65
-133 79 169 97 175
-134 100 93 172 152
-135 178 102 95 151
-136 80 179 92 173
-137 156 82 94 174
-138 176 101 83 153
-139 155 79 180 97
-140 84 172 96 152
-141 154 102 170 95
-142 99 179 81 173
-143 177 82 94 171
-144 176 91 98 153
-145 169 84 96 175
-146 100 155 180 93
-147 99 178 81 151
-148 154 80 92 170
-149 156 91 174 98
-150 177 101 83 171
-151 135 168 103 147
-152 134 160 106 140
-153 165 144 159 138
-154 148 107 141 164
-155 146 139 162 108
-156 167 157 137 149
-157 55 132 156 179
-158 176 170 127 119
-159 169 117 129 153
-160 56 177 116 152
-161 178 60 172 120
-162 155 57 173 130
-163 178 115 172 131
-164 154 57 130 175
-165 59 169 128 153
-166 56 180 116 174
-167 156 58 179 118
-168 127 171 151 119
-169 165 133 145 159
-170 158 104 148 141
-171 143 168 103 150
-172 134 161 140 163
-173 136 162 108 142
-174 166 137 105 149
-175 133 145 107 164
-176 144 158 104 138
-177 143 160 106 150
-178 135 147 161 163
-179 167 157 136 142
-180 166 146 105 139
0

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