C4graphGraph forms for C4 [ 192, 49 ] = KE_48(1,25,22,45,1)

[Home] [Table] [Glossary] [Families]

On this page are computer-accessible forms for the graph C4[ 192, 49 ] = KE_48(1,25,22,45,1).

(I) Following is a form readable by MAGMA:

g:=Graph<192|{ {2, 3}, {190, 191}, {188, 189}, {186, 187}, {184, 185}, {182, 183}, {180, 181}, {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}, {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}, {1, 2}, {189, 190}, {185, 186}, {181, 182}, {45, 46}, {41, 42}, {5, 6}, {9, 10}, {13, 14}, {17, 18}, {21, 22}, {25, 26}, {29, 30}, {33, 34}, {37, 38}, {145, 146}, {149, 150}, {153, 154}, {157, 158}, {161, 162}, {165, 166}, {169, 170}, {173, 174}, {177, 178}, {3, 4}, {187, 188}, {43, 44}, {11, 12}, {19, 20}, {27, 28}, {35, 36}, {147, 148}, {155, 156}, {163, 164}, {171, 172}, {179, 180}, {7, 8}, {183, 184}, {23, 24}, {39, 40}, {151, 152}, {167, 168}, {96, 118}, {32, 55}, {40, 63}, {33, 56}, {35, 58}, {37, 60}, {39, 62}, {34, 57}, {38, 61}, {15, 16}, {47, 48}, {36, 59}, {175, 176}, {27, 50}, {29, 52}, {31, 54}, {75, 97}, {78, 100}, {79, 101}, {90, 112}, {91, 113}, {94, 116}, {95, 117}, {26, 49}, {30, 53}, {76, 98}, {77, 99}, {92, 114}, {93, 115}, {28, 51}, {64, 112}, {77, 125}, {76, 124}, {75, 123}, {74, 122}, {73, 121}, {72, 120}, {71, 119}, {70, 118}, {69, 117}, {68, 116}, {67, 115}, {66, 114}, {65, 113}, {78, 126}, {79, 127}, {128, 176}, {129, 177}, {130, 178}, {131, 179}, {132, 180}, {133, 181}, {134, 182}, {135, 183}, {136, 184}, {137, 185}, {138, 186}, {139, 187}, {140, 188}, {141, 189}, {142, 190}, {143, 191}, {1, 48}, {80, 102}, {81, 103}, {88, 110}, {89, 111}, {82, 104}, {83, 105}, {86, 108}, {87, 109}, {84, 106}, {85, 107}, {31, 32}, {159, 160}, {49, 119}, {57, 127}, {56, 126}, {8, 79}, {16, 87}, {24, 95}, {1, 72}, {3, 74}, {5, 76}, {7, 78}, {17, 88}, {19, 90}, {21, 92}, {23, 94}, {50, 120}, {55, 125}, {54, 124}, {51, 121}, {2, 73}, {6, 77}, {18, 89}, {22, 93}, {52, 122}, {53, 123}, {4, 75}, {20, 91}, {49, 97}, {63, 111}, {62, 110}, {61, 109}, {60, 108}, {59, 107}, {58, 106}, {57, 105}, {56, 104}, {55, 103}, {54, 102}, {53, 101}, {52, 100}, {51, 99}, {50, 98}, {144, 192}, {145, 192}, {9, 80}, {11, 82}, {13, 84}, {15, 86}, {10, 81}, {14, 85}, {12, 83}, {1, 97}, {2, 98}, {3, 99}, {4, 100}, {5, 101}, {6, 102}, {7, 103}, {8, 104}, {9, 105}, {10, 106}, {11, 107}, {12, 108}, {13, 109}, {14, 110}, {15, 111}, {16, 112}, {17, 113}, {18, 114}, {19, 115}, {20, 116}, {21, 117}, {22, 118}, {23, 119}, {24, 120}, {25, 121}, {26, 122}, {27, 123}, {28, 124}, {29, 125}, {30, 126}, {31, 127}, {41, 64}, {47, 70}, {45, 68}, {43, 66}, {42, 65}, {46, 69}, {44, 67}, {48, 71}, {25, 96}, {191, 192}, {50, 191}, {49, 190}, {32, 128}, {48, 144}, {47, 143}, {46, 142}, {45, 141}, {44, 140}, {43, 139}, {42, 138}, {41, 137}, {33, 129}, {34, 130}, {35, 131}, {36, 132}, {37, 133}, {38, 134}, {39, 135}, {40, 136}, {55, 148}, {63, 156}, {59, 152}, {52, 145}, {62, 155}, {60, 153}, {54, 147}, {53, 146}, {61, 154}, {56, 149}, {58, 151}, {57, 150}, {58, 128}, {63, 133}, {62, 132}, {59, 129}, {60, 130}, {61, 131}, {64, 134}, {73, 143}, {72, 142}, {65, 135}, {66, 136}, {71, 141}, {70, 140}, {67, 137}, {68, 138}, {69, 139}, {80, 128}, {81, 129}, {82, 130}, {83, 131}, {84, 132}, {85, 133}, {86, 134}, {87, 135}, {88, 136}, {89, 137}, {90, 138}, {91, 139}, {92, 140}, {93, 141}, {94, 142}, {95, 143}, {112, 160}, {113, 161}, {114, 162}, {115, 163}, {116, 164}, {117, 165}, {118, 166}, {119, 167}, {120, 168}, {121, 169}, {122, 170}, {123, 171}, {124, 172}, {125, 173}, {126, 174}, {127, 175}, {74, 144}, {64, 157}, {66, 159}, {96, 189}, {65, 158}, {67, 160}, {75, 168}, {71, 164}, {79, 172}, {83, 176}, {87, 180}, {91, 184}, {95, 188}, {68, 161}, {76, 169}, {70, 163}, {78, 171}, {84, 177}, {86, 179}, {92, 185}, {94, 187}, {69, 162}, {77, 170}, {85, 178}, {93, 186}, {72, 165}, {74, 167}, {88, 181}, {90, 183}, {73, 166}, {89, 182}, {96, 144}, {97, 145}, {98, 146}, {99, 147}, {100, 148}, {101, 149}, {102, 150}, {103, 151}, {104, 152}, {105, 153}, {106, 154}, {107, 155}, {108, 156}, {109, 157}, {110, 158}, {111, 159}, {51, 192}, {80, 173}, {82, 175}, {81, 174} }>;

(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: (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, 190, 191, 192)
b: (3, 98)(4, 146)(5, 147)(6, 54)(7, 31)(8, 32)(9, 128)(10, 176)(11, 177)(12, 84)(15, 110)(16, 158)(17, 159)(18, 66)(19, 43)(20, 44)(21, 140)(22, 188)(23, 189)(24, 96)(27, 122)(28, 170)(29, 171)(30, 78)(33, 104)(34, 152)(35, 153)(36, 60)(39, 134)(40, 182)(41, 183)(42, 90)(45, 116)(46, 164)(47, 165)(48, 72)(50, 74)(51, 169)(52, 123)(53, 100)(55, 79)(57, 151)(58, 105)(59, 130)(62, 86)(63, 181)(64, 135)(65, 112)(67, 91)(69, 163)(70, 117)(71, 142)(75, 145)(76, 99)(77, 124)(81, 175)(82, 129)(83, 106)(87, 157)(88, 111)(89, 136)(93, 187)(94, 141)(95, 118)(101, 148)(103, 127)(107, 178)(108, 132)(113, 160)(115, 139)(119, 190)(120, 144)(125, 172)(131, 154)(137, 184)(143, 166)(155, 179)(156, 180)(167, 191)(168, 192)
c: (2, 48)(3, 47)(4, 46)(5, 45)(6, 44)(7, 43)(8, 42)(9, 41)(10, 40)(11, 39)(12, 38)(13, 37)(14, 36)(15, 35)(16, 34)(17, 33)(18, 32)(19, 31)(20, 30)(21, 29)(22, 28)(23, 27)(24, 26)(49, 120)(50, 119)(51, 118)(52, 117)(53, 116)(54, 115)(55, 114)(56, 113)(57, 112)(58, 111)(59, 110)(60, 109)(61, 108)(62, 107)(63, 106)(64, 105)(65, 104)(66, 103)(67, 102)(68, 101)(69, 100)(70, 99)(71, 98)(72, 97)(73, 144)(74, 143)(75, 142)(76, 141)(77, 140)(78, 139)(79, 138)(80, 137)(81, 136)(82, 135)(83, 134)(84, 133)(85, 132)(86, 131)(87, 130)(88, 129)(89, 128)(90, 127)(91, 126)(92, 125)(93, 124)(94, 123)(95, 122)(96, 121)(145, 165)(146, 164)(147, 163)(148, 162)(149, 161)(150, 160)(151, 159)(152, 158)(153, 157)(154, 156)(166, 192)(167, 191)(168, 190)(169, 189)(170, 188)(171, 187)(172, 186)(173, 185)(174, 184)(175, 183)(176, 182)(177, 181)(178, 180)

(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.

**************

&Graph
C4[ 192, 49 ]
192
-1 2 48 72 97
-2 1 3 73 98
-3 99 2 4 74
-4 100 3 5 75
-5 101 4 6 76
-6 77 102 5 7
-7 78 103 6 8
-8 79 104 7 9
-9 80 105 8 10
-10 11 81 106 9
-11 12 82 107 10
-12 11 13 83 108
-13 12 14 84 109
-14 110 13 15 85
-15 111 14 16 86
-16 112 15 17 87
-17 88 113 16 18
-18 89 114 17 19
-19 90 115 18 20
-20 91 116 19 21
-21 22 92 117 20
-22 23 93 118 21
-23 22 24 94 119
-24 23 25 95 120
-25 121 24 26 96
-26 122 25 27 49
-27 123 26 28 50
-28 124 27 29 51
-29 125 28 30 52
-30 126 29 31 53
-31 127 30 32 54
-32 33 55 128 31
-33 34 56 129 32
-34 33 35 57 130
-35 34 36 58 131
-36 132 35 37 59
-37 133 36 38 60
-38 134 37 39 61
-39 135 38 40 62
-40 136 39 41 63
-41 137 40 42 64
-42 138 41 43 65
-43 44 66 139 42
-44 45 67 140 43
-45 44 46 68 141
-46 45 47 69 142
-47 143 46 48 70
-48 1 144 47 71
-49 190 26 97 119
-50 191 27 98 120
-51 99 121 192 28
-52 100 122 145 29
-53 101 123 146 30
-54 102 124 147 31
-55 103 125 148 32
-56 33 104 126 149
-57 34 105 127 150
-58 35 106 128 151
-59 36 107 129 152
-60 37 108 130 153
-61 154 38 109 131
-62 110 132 155 39
-63 111 133 156 40
-64 112 134 157 41
-65 113 135 158 42
-66 114 136 159 43
-67 44 115 137 160
-68 45 116 138 161
-69 46 117 139 162
-70 47 118 140 163
-71 48 119 141 164
-72 165 1 120 142
-73 121 143 166 2
-74 122 144 167 3
-75 123 168 4 97
-76 124 169 5 98
-77 99 125 170 6
-78 100 126 171 7
-79 101 127 172 8
-80 102 128 173 9
-81 103 129 174 10
-82 11 104 130 175
-83 176 12 105 131
-84 132 177 13 106
-85 133 178 14 107
-86 134 179 15 108
-87 135 180 16 109
-88 110 136 181 17
-89 111 137 182 18
-90 112 138 183 19
-91 113 139 184 20
-92 114 140 185 21
-93 22 115 141 186
-94 187 23 116 142
-95 143 188 24 117
-96 144 189 25 118
-97 1 145 49 75
-98 2 146 50 76
-99 77 3 147 51
-100 78 4 148 52
-101 79 5 149 53
-102 80 6 150 54
-103 55 81 7 151
-104 56 82 8 152
-105 57 83 9 153
-106 154 58 84 10
-107 11 155 59 85
-108 12 156 60 86
-109 13 157 61 87
-110 88 14 158 62
-111 89 15 159 63
-112 90 16 160 64
-113 91 17 161 65
-114 66 92 18 162
-115 67 93 19 163
-116 68 94 20 164
-117 165 69 95 21
-118 22 166 70 96
-119 23 167 49 71
-120 24 168 50 72
-121 25 169 51 73
-122 26 170 52 74
-123 27 171 53 75
-124 28 172 54 76
-125 55 77 29 173
-126 56 78 30 174
-127 57 79 31 175
-128 176 58 80 32
-129 33 177 59 81
-130 34 178 60 82
-131 35 179 61 83
-132 36 180 62 84
-133 37 181 63 85
-134 38 182 64 86
-135 39 183 65 87
-136 66 88 40 184
-137 67 89 41 185
-138 68 90 42 186
-139 187 69 91 43
-140 44 188 70 92
-141 45 189 71 93
-142 46 190 72 94
-143 47 191 73 95
-144 48 192 74 96
-145 146 192 52 97
-146 145 147 53 98
-147 99 146 148 54
-148 55 100 147 149
-149 56 101 148 150
-150 57 102 149 151
-151 58 103 150 152
-152 59 104 151 153
-153 154 60 105 152
-154 155 61 106 153
-155 154 156 62 107
-156 155 157 63 108
-157 156 158 64 109
-158 110 157 159 65
-159 66 111 158 160
-160 67 112 159 161
-161 68 113 160 162
-162 69 114 161 163
-163 70 115 162 164
-164 165 71 116 163
-165 166 72 117 164
-166 165 167 73 118
-167 166 168 74 119
-168 167 169 75 120
-169 121 168 170 76
-170 77 122 169 171
-171 78 123 170 172
-172 79 124 171 173
-173 80 125 172 174
-174 81 126 173 175
-175 176 82 127 174
-176 177 83 128 175
-177 176 178 84 129
-178 177 179 85 130
-179 178 180 86 131
-180 132 179 181 87
-181 88 133 180 182
-182 89 134 181 183
-183 90 135 182 184
-184 91 136 183 185
-185 92 137 184 186
-186 187 93 138 185
-187 188 94 139 186
-188 187 189 95 140
-189 188 190 96 141
-190 189 191 49 142
-191 143 190 192 50
-192 144 145 191 51
0

**************