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On this page are computer-accessible forms for the graph C4[ 189, 3 ] = {4,4}_<15,6>.

(I) Following is a form readable by MAGMA:

g:=Graph<189|{ {2, 3}, {188, 189}, {186, 187}, {184, 185}, {182, 183}, {180, 181}, {178, 179}, {176, 177}, {174, 175}, {172, 173}, {170, 171}, {168, 169}, {166, 167}, {164, 165}, {162, 163}, {160, 161}, {158, 159}, {156, 157}, {72, 73}, {70, 71}, {68, 69}, {66, 67}, {64, 65}, {62, 63}, {60, 61}, {58, 59}, {56, 57}, {54, 55}, {52, 53}, {50, 51}, {48, 49}, {46, 47}, {44, 45}, {42, 43}, {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}, {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}, {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}, {1, 2}, {185, 186}, {181, 182}, {177, 178}, {173, 174}, {169, 170}, {165, 166}, {161, 162}, {157, 158}, {69, 70}, {65, 66}, {61, 62}, {57, 58}, {53, 54}, {49, 50}, {45, 46}, {41, 42}, {5, 6}, {9, 10}, {13, 14}, {17, 18}, {21, 22}, {25, 26}, {29, 30}, {33, 34}, {37, 38}, {73, 74}, {77, 78}, {81, 82}, {85, 86}, {89, 90}, {93, 94}, {97, 98}, {101, 102}, {105, 106}, {109, 110}, {113, 114}, {117, 118}, {121, 122}, {125, 126}, {129, 130}, {133, 134}, {137, 138}, {141, 142}, {145, 146}, {149, 150}, {153, 154}, {3, 4}, {187, 188}, {179, 180}, {171, 172}, {163, 164}, {155, 156}, {67, 68}, {59, 60}, {51, 52}, {43, 44}, {11, 12}, {19, 20}, {27, 28}, {35, 36}, {75, 76}, {83, 84}, {91, 92}, {99, 100}, {107, 108}, {115, 116}, {123, 124}, {131, 132}, {139, 140}, {147, 148}, {7, 8}, {183, 184}, {167, 168}, {71, 72}, {55, 56}, {23, 24}, {39, 40}, {87, 88}, {103, 104}, {119, 120}, {135, 136}, {151, 152}, {15, 16}, {175, 176}, {47, 48}, {79, 80}, {111, 112}, {143, 144}, {1, 63}, {64, 126}, {31, 32}, {159, 160}, {64, 127}, {95, 96}, {1, 64}, {63, 126}, {61, 124}, {59, 122}, {57, 120}, {55, 118}, {53, 116}, {51, 114}, {49, 112}, {47, 110}, {45, 108}, {43, 106}, {41, 104}, {3, 66}, {5, 68}, {7, 70}, {9, 72}, {11, 74}, {13, 76}, {15, 78}, {17, 80}, {19, 82}, {21, 84}, {23, 86}, {25, 88}, {27, 90}, {29, 92}, {31, 94}, {33, 96}, {35, 98}, {37, 100}, {39, 102}, {2, 65}, {62, 125}, {58, 121}, {54, 117}, {50, 113}, {46, 109}, {42, 105}, {6, 69}, {10, 73}, {14, 77}, {18, 81}, {22, 85}, {26, 89}, {30, 93}, {34, 97}, {38, 101}, {4, 67}, {60, 123}, {52, 115}, {44, 107}, {12, 75}, {20, 83}, {28, 91}, {36, 99}, {8, 71}, {56, 119}, {40, 103}, {24, 87}, {40, 127}, {16, 79}, {48, 111}, {32, 95}, {1, 151}, {8, 158}, {9, 159}, {32, 182}, {33, 183}, {2, 152}, {3, 153}, {6, 156}, {7, 157}, {34, 184}, {35, 185}, {38, 188}, {39, 189}, {4, 154}, {5, 155}, {36, 186}, {37, 187}, {41, 128}, {63, 150}, {61, 148}, {59, 146}, {57, 144}, {47, 134}, {45, 132}, {43, 130}, {10, 160}, {11, 161}, {14, 164}, {15, 165}, {26, 176}, {27, 177}, {30, 180}, {31, 181}, {42, 129}, {62, 149}, {58, 145}, {46, 133}, {12, 162}, {13, 163}, {28, 178}, {29, 179}, {44, 131}, {60, 147}, {16, 166}, {17, 167}, {24, 174}, {25, 175}, {48, 135}, {56, 143}, {49, 136}, {55, 142}, {53, 140}, {51, 138}, {18, 168}, {19, 169}, {22, 172}, {23, 173}, {50, 137}, {54, 141}, {20, 170}, {21, 171}, {52, 139}, {65, 128}, {71, 134}, {69, 132}, {67, 130}, {73, 136}, {75, 138}, {77, 140}, {79, 142}, {81, 144}, {83, 146}, {85, 148}, {87, 150}, {89, 152}, {91, 154}, {93, 156}, {95, 158}, {97, 160}, {99, 162}, {101, 164}, {103, 166}, {105, 168}, {107, 170}, {109, 172}, {111, 174}, {113, 176}, {115, 178}, {117, 180}, {119, 182}, {121, 184}, {123, 186}, {125, 188}, {127, 189}, {66, 129}, {70, 133}, {74, 137}, {78, 141}, {82, 145}, {86, 149}, {90, 153}, {94, 157}, {98, 161}, {102, 165}, {106, 169}, {110, 173}, {114, 177}, {118, 181}, {122, 185}, {126, 189}, {68, 131}, {76, 139}, {84, 147}, {92, 155}, {100, 163}, {108, 171}, {116, 179}, {124, 187}, {72, 135}, {88, 151}, {104, 167}, {120, 183}, {80, 143}, {112, 175}, {96, 159}, {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, 64)(3, 127)(4, 40)(5, 103)(6, 166)(7, 16)(8, 79)(9, 142)(10, 55)(11, 118)(12, 181)(13, 31)(14, 94)(15, 157)(17, 70)(18, 133)(19, 46)(20, 109)(21, 172)(23, 85)(24, 148)(25, 61)(26, 124)(27, 187)(28, 37)(29, 100)(30, 163)(32, 76)(33, 139)(34, 52)(35, 115)(36, 178)(38, 91)(39, 154)(41, 67)(42, 130)(44, 106)(45, 169)(47, 82)(48, 145)(49, 58)(50, 121)(51, 184)(53, 97)(54, 160)(56, 73)(57, 136)(59, 112)(60, 175)(62, 88)(63, 151)(66, 128)(68, 104)(69, 167)(71, 80)(72, 143)(74, 119)(75, 182)(77, 95)(78, 158)(81, 134)(83, 110)(84, 173)(87, 149)(89, 125)(90, 188)(92, 101)(93, 164)(96, 140)(98, 116)(99, 179)(102, 155)(105, 131)(108, 170)(111, 146)(113, 122)(114, 185)(117, 161)(120, 137)(123, 176)(126, 152)(132, 168)(135, 144)(138, 183)(141, 159)(147, 174)(153, 189)(156, 165)(162, 180)(177, 186)
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, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189)
c: (2, 151)(3, 88)(4, 25)(5, 175)(6, 112)(7, 49)(8, 136)(9, 73)(11, 160)(12, 97)(13, 34)(14, 184)(15, 121)(16, 58)(17, 145)(18, 82)(20, 169)(21, 106)(22, 43)(23, 130)(24, 67)(26, 154)(27, 91)(29, 178)(30, 115)(31, 52)(32, 139)(33, 76)(35, 163)(36, 100)(38, 187)(39, 124)(40, 61)(41, 148)(42, 85)(44, 172)(45, 109)(47, 133)(48, 70)(50, 157)(51, 94)(53, 181)(54, 118)(56, 142)(57, 79)(59, 166)(60, 103)(62, 127)(63, 64)(65, 150)(66, 87)(68, 174)(69, 111)(71, 135)(74, 159)(75, 96)(77, 183)(78, 120)(80, 144)(83, 168)(84, 105)(86, 129)(89, 153)(92, 177)(93, 114)(95, 138)(98, 162)(101, 186)(102, 123)(104, 147)(107, 171)(110, 132)(113, 156)(116, 180)(119, 141)(122, 165)(125, 189)(128, 149)(131, 173)(137, 158)(140, 182)(146, 167)(155, 176)(164, 185)

(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[ 189, 3 ]
189
-1 2 63 151 64
-2 1 3 152 65
-3 66 2 4 153
-4 154 67 3 5
-5 155 68 4 6
-6 156 69 5 7
-7 157 70 6 8
-8 158 71 7 9
-9 159 72 8 10
-10 11 160 73 9
-11 12 161 74 10
-12 11 13 162 75
-13 12 14 163 76
-14 77 13 15 164
-15 165 78 14 16
-16 166 79 15 17
-17 167 80 16 18
-18 168 81 17 19
-19 169 82 18 20
-20 170 83 19 21
-21 22 171 84 20
-22 23 172 85 21
-23 22 24 173 86
-24 23 25 174 87
-25 88 24 26 175
-26 176 89 25 27
-27 177 90 26 28
-28 178 91 27 29
-29 179 92 28 30
-30 180 93 29 31
-31 181 94 30 32
-32 33 182 95 31
-33 34 183 96 32
-34 33 35 184 97
-35 34 36 185 98
-36 99 35 37 186
-37 187 100 36 38
-38 188 101 37 39
-39 189 102 38 40
-40 103 39 127 41
-41 104 40 128 42
-42 105 41 129 43
-43 44 106 42 130
-44 45 107 43 131
-45 44 132 46 108
-46 45 133 47 109
-47 110 46 134 48
-48 111 47 135 49
-49 112 48 136 50
-50 113 49 137 51
-51 114 50 138 52
-52 115 51 139 53
-53 116 52 140 54
-54 55 117 53 141
-55 56 118 54 142
-56 55 143 57 119
-57 56 144 58 120
-58 121 57 145 59
-59 122 58 146 60
-60 123 59 147 61
-61 124 60 148 62
-62 125 61 149 63
-63 1 126 62 150
-64 1 126 127 65
-65 66 2 128 64
-66 67 3 129 65
-67 66 68 4 130
-68 67 69 5 131
-69 132 68 70 6
-70 133 69 71 7
-71 134 70 72 8
-72 135 71 73 9
-73 136 72 74 10
-74 11 137 73 75
-75 12 138 74 76
-76 77 13 139 75
-77 78 14 140 76
-78 77 79 15 141
-79 78 80 16 142
-80 143 79 81 17
-81 144 80 82 18
-82 145 81 83 19
-83 146 82 84 20
-84 147 83 85 21
-85 22 148 84 86
-86 23 149 85 87
-87 88 24 150 86
-88 89 25 151 87
-89 88 90 26 152
-90 89 91 27 153
-91 154 90 92 28
-92 155 91 93 29
-93 156 92 94 30
-94 157 93 95 31
-95 158 94 96 32
-96 33 159 95 97
-97 34 160 96 98
-98 99 35 161 97
-99 100 36 162 98
-100 99 101 37 163
-101 100 102 38 164
-102 165 101 103 39
-103 166 102 104 40
-104 167 103 105 41
-105 168 104 106 42
-106 169 105 107 43
-107 44 170 106 108
-108 45 171 107 109
-109 110 46 172 108
-110 111 47 173 109
-111 110 112 48 174
-112 111 113 49 175
-113 176 112 114 50
-114 177 113 115 51
-115 178 114 116 52
-116 179 115 117 53
-117 180 116 118 54
-118 55 181 117 119
-119 56 182 118 120
-120 121 57 183 119
-121 122 58 184 120
-122 121 123 59 185
-123 122 124 60 186
-124 187 123 125 61
-125 188 124 126 62
-126 189 125 63 64
-127 189 40 128 64
-128 127 41 129 65
-129 66 128 42 130
-130 67 129 43 131
-131 44 132 68 130
-132 45 133 69 131
-133 132 46 134 70
-134 133 47 135 71
-135 134 48 136 72
-136 135 49 137 73
-137 136 50 138 74
-138 137 51 139 75
-139 138 52 140 76
-140 77 139 53 141
-141 78 140 54 142
-142 55 143 79 141
-143 56 144 80 142
-144 143 57 145 81
-145 144 58 146 82
-146 145 59 147 83
-147 146 60 148 84
-148 147 61 149 85
-149 148 62 150 86
-150 149 63 151 87
-151 88 1 150 152
-152 89 2 151 153
-153 154 90 3 152
-154 155 91 4 153
-155 154 156 92 5
-156 155 157 93 6
-157 156 158 94 7
-158 157 159 95 8
-159 158 160 96 9
-160 159 161 97 10
-161 11 160 162 98
-162 99 12 161 163
-163 100 13 162 164
-164 165 101 14 163
-165 166 102 15 164
-166 165 167 103 16
-167 166 168 104 17
-168 167 169 105 18
-169 168 170 106 19
-170 169 171 107 20
-171 170 172 108 21
-172 22 171 173 109
-173 110 23 172 174
-174 111 24 173 175
-175 176 112 25 174
-176 177 113 26 175
-177 176 178 114 27
-178 177 179 115 28
-179 178 180 116 29
-180 179 181 117 30
-181 180 182 118 31
-182 181 183 119 32
-183 33 182 184 120
-184 121 34 183 185
-185 122 35 184 186
-186 187 123 36 185
-187 188 124 37 186
-188 187 189 125 38
-189 188 126 39 127
0

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