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On this page are computer-accessible forms for the graph C4[ 192, 53 ] =
KE_48(1,11,8,3,17).
(I) Following is a form readable by MAGMA:
g:=Graph<192|{ {2, 3}, {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},
{1, 2}, {45, 46}, {5, 6}, {9, 10}, {13, 14}, {17, 18}, {21, 22}, {25, 26}, {29,
30}, {33, 34}, {37, 38}, {41, 42}, {3, 4}, {43, 44}, {11, 12}, {19, 20}, {27,
28}, {35, 36}, {96, 104}, {7, 8}, {23, 24}, {39, 40}, {160, 177}, {174, 191},
{172, 189}, {170, 187}, {168, 185}, {166, 183}, {164, 181}, {162, 179}, {161,
178}, {173, 190}, {169, 186}, {165, 182}, {163, 180}, {171, 188}, {15, 16},
{167, 184}, {47, 48}, {160, 191}, {145, 176}, {147, 178}, {149, 180}, {151,
182}, {153, 184}, {155, 186}, {157, 188}, {159, 190}, {146, 177}, {150, 181},
{154, 185}, {158, 189}, {16, 53}, {18, 55}, {24, 61}, {26, 63}, {17, 54}, {25,
62}, {148, 179}, {156, 187}, {19, 56}, {23, 60}, {20, 57}, {22, 59}, {21, 58},
{152, 183}, {159, 176}, {64, 112}, {74, 122}, {73, 121}, {72, 120}, {71, 119},
{70, 118}, {69, 117}, {68, 116}, {67, 115}, {66, 114}, {65, 113}, {75, 123},
{76, 124}, {77, 125}, {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}, {146, 163}, {148, 165}, {150, 167}, {152, 169}, {154, 171}, {156, 173},
{158, 175}, {145, 162}, {149, 166}, {153, 170}, {157, 174}, {147, 164}, {155,
172}, {64, 120}, {71, 127}, {70, 126}, {69, 125}, {68, 124}, {67, 123}, {66,
122}, {65, 121}, {89, 97}, {90, 98}, {91, 99}, {92, 100}, {93, 101}, {94, 102},
{95, 103}, {15, 52}, {12, 49}, {14, 51}, {13, 50}, {31, 32}, {151, 168}, {56,
112}, {63, 119}, {62, 118}, {61, 117}, {60, 116}, {59, 115}, {58, 114}, {57,
113}, {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}, {2, 87}, {8, 93}, {10, 95}, {1, 86}, {9, 94}, {49,
105}, {55, 111}, {54, 110}, {53, 109}, {52, 108}, {51, 107}, {50, 106}, {3, 88},
{7, 92}, {27, 64}, {31, 68}, {4, 89}, {6, 91}, {28, 65}, {30, 67}, {5, 90}, {29,
66}, {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}, {161, 192}, {32, 69}, {48, 85}, {42, 79}, {34, 71},
{40, 77}, {33, 70}, {41, 78}, {11, 96}, {35, 72}, {39, 76}, {36, 73}, {38, 75},
{37, 74}, {175, 192}, {43, 80}, {47, 84}, {44, 81}, {46, 83}, {45, 82}, {61,
160}, {63, 162}, {93, 192}, {62, 161}, {32, 128}, {48, 144}, {47, 143}, {46,
142}, {45, 141}, {44, 140}, {43, 139}, {42, 138}, {33, 129}, {34, 130}, {35,
131}, {36, 132}, {37, 133}, {38, 134}, {39, 135}, {40, 136}, {41, 137}, {52,
151}, {60, 159}, {56, 155}, {49, 148}, {59, 158}, {57, 156}, {51, 150}, {50,
149}, {58, 157}, {53, 152}, {55, 154}, {54, 153}, {72, 128}, {74, 130}, {73,
129}, {75, 131}, {76, 132}, {77, 133}, {78, 134}, {79, 135}, {88, 144}, {95,
146}, {94, 145}, {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}, {80,
136}, {81, 137}, {82, 138}, {83, 139}, {84, 140}, {85, 141}, {86, 142}, {87,
143}, {64, 163}, {72, 171}, {68, 167}, {76, 175}, {80, 179}, {84, 183}, {88,
187}, {92, 191}, {65, 164}, {73, 172}, {67, 166}, {75, 174}, {81, 180}, {83,
182}, {89, 188}, {91, 190}, {66, 165}, {74, 173}, {82, 181}, {90, 189}, {69,
168}, {71, 170}, {85, 184}, {87, 186}, {70, 169}, {86, 185}, {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}, {96, 147}, {77, 176}, {79, 178}, {78, 177} }>;
(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, 86)(3, 142)(4, 46)(5, 83)(6, 139)(7, 43)(8, 80)(9, 136)(10, 40)(11,
77)(12, 133)(13, 37)(14, 74)(15, 130)(16, 34)(17, 71)(18, 127)(19, 31)(20,
68)(21, 124)(22, 28)(23, 65)(24, 121)(26, 62)(27, 118)(29, 59)(30, 115)(32,
56)(33, 112)(35, 53)(36, 109)(38, 50)(39, 106)(41, 95)(42, 103)(44, 92)(45,
100)(47, 89)(48, 97)(49, 85)(51, 173)(52, 82)(54, 170)(55, 79)(57, 167)(58,
76)(60, 164)(61, 73)(63, 161)(64, 70)(66, 158)(69, 155)(72, 152)(75, 149)(78,
146)(81, 191)(84, 188)(87, 185)(88, 94)(90, 182)(93, 179)(96, 176)(98, 134)(99,
190)(101, 131)(102, 187)(104, 128)(105, 184)(107, 125)(108, 181)(110, 122)(111,
178)(113, 119)(114, 175)(117, 172)(120, 169)(123, 166)(126, 163)(129, 160)(132,
157)(135, 154)(137, 143)(138, 151)(141, 148)(144, 145)(147, 159)(150, 156)(162,
192)(165, 189)(168, 186)(171, 183)(174, 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 **************
b: (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, 134)(50, 133)(51, 132)(52, 131)(53, 130)(54, 129)(55,
128)(56, 127)(57, 126)(58, 125)(59, 124)(60, 123)(61, 122)(62, 121)(63, 120)(64,
119)(65, 118)(66, 117)(67, 116)(68, 115)(69, 114)(70, 113)(71, 112)(72, 111)(73,
110)(74, 109)(75, 108)(76, 107)(77, 106)(78, 105)(79, 104)(80, 103)(81, 102)(82,
101)(83, 100)(84, 99)(85, 98)(86, 97)(87, 144)(88, 143)(89, 142)(90, 141)(91,
140)(92, 139)(93, 138)(94, 137)(95, 136)(96, 135)(145, 185)(146, 184)(147,
183)(148, 182)(149, 181)(150, 180)(151, 179)(152, 178)(153, 177)(154, 176)(155,
175)(156, 174)(157, 173)(158, 172)(159, 171)(160, 170)(161, 169)(162, 168)(163,
167)(164, 166)(186, 192)(187, 191)(188, 190)
c: (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)
C4[ 192, 53 ]
192
-1 2 48 86 97
-2 1 3 87 98
-3 88 99 2 4
-4 89 100 3 5
-5 90 101 4 6
-6 91 102 5 7
-7 92 103 6 8
-8 93 104 7 9
-9 94 105 8 10
-10 11 95 106 9
-11 12 96 107 10
-12 11 13 49 108
-13 12 14 50 109
-14 110 13 15 51
-15 111 14 16 52
-16 112 15 17 53
-17 113 16 18 54
-18 55 114 17 19
-19 56 115 18 20
-20 57 116 19 21
-21 22 58 117 20
-22 23 59 118 21
-23 22 24 60 119
-24 23 25 61 120
-25 121 24 26 62
-26 122 25 27 63
-27 123 26 28 64
-28 124 27 29 65
-29 66 125 28 30
-30 67 126 29 31
-31 68 127 30 32
-32 33 69 128 31
-33 34 70 129 32
-34 33 35 71 130
-35 34 36 72 131
-36 132 35 37 73
-37 133 36 38 74
-38 134 37 39 75
-39 135 38 40 76
-40 77 136 39 41
-41 78 137 40 42
-42 79 138 41 43
-43 44 80 139 42
-44 45 81 140 43
-45 44 46 82 141
-46 45 47 83 142
-47 143 46 48 84
-48 1 144 47 85
-49 12 148 105 97
-50 13 149 106 98
-51 99 14 150 107
-52 100 15 151 108
-53 101 16 152 109
-54 110 102 17 153
-55 154 111 103 18
-56 155 112 104 19
-57 156 113 105 20
-58 157 114 106 21
-59 22 158 115 107
-60 23 159 116 108
-61 24 160 117 109
-62 110 25 161 118
-63 111 26 162 119
-64 112 27 163 120
-65 121 113 28 164
-66 165 122 114 29
-67 166 123 115 30
-68 167 124 116 31
-69 168 125 117 32
-70 33 169 126 118
-71 34 170 127 119
-72 35 171 128 120
-73 121 36 172 129
-74 122 37 173 130
-75 123 38 174 131
-76 132 124 39 175
-77 176 133 125 40
-78 177 134 126 41
-79 178 135 127 42
-80 179 136 128 43
-81 44 180 137 129
-82 45 181 138 130
-83 46 182 139 131
-84 132 47 183 140
-85 133 48 184 141
-86 1 134 185 142
-87 143 2 135 186
-88 187 144 3 136
-89 188 4 137 97
-90 189 5 138 98
-91 99 190 6 139
-92 100 191 7 140
-93 101 192 8 141
-94 145 102 9 142
-95 143 146 103 10
-96 11 144 147 104
-97 1 89 145 49
-98 2 90 146 50
-99 3 91 147 51
-100 4 92 148 52
-101 5 93 149 53
-102 6 94 150 54
-103 55 7 95 151
-104 56 8 96 152
-105 57 49 9 153
-106 154 58 50 10
-107 11 155 59 51
-108 12 156 60 52
-109 13 157 61 53
-110 14 158 62 54
-111 55 15 159 63
-112 56 16 160 64
-113 57 17 161 65
-114 66 58 18 162
-115 67 59 19 163
-116 68 60 20 164
-117 165 69 61 21
-118 22 166 70 62
-119 23 167 71 63
-120 24 168 72 64
-121 25 169 73 65
-122 66 26 170 74
-123 67 27 171 75
-124 68 28 172 76
-125 77 69 29 173
-126 78 70 30 174
-127 79 71 31 175
-128 176 80 72 32
-129 33 177 81 73
-130 34 178 82 74
-131 35 179 83 75
-132 36 180 84 76
-133 77 37 181 85
-134 78 38 182 86
-135 79 39 183 87
-136 88 80 40 184
-137 89 81 41 185
-138 90 82 42 186
-139 187 91 83 43
-140 44 188 92 84
-141 45 189 93 85
-142 46 190 94 86
-143 47 191 95 87
-144 88 48 192 96
-145 176 94 162 97
-146 177 95 163 98
-147 99 178 96 164
-148 165 100 179 49
-149 166 101 180 50
-150 167 102 181 51
-151 168 103 182 52
-152 169 104 183 53
-153 170 105 184 54
-154 55 171 106 185
-155 56 172 107 186
-156 187 57 173 108
-157 188 58 174 109
-158 110 189 59 175
-159 176 111 190 60
-160 177 112 191 61
-161 178 113 192 62
-162 145 179 114 63
-163 146 180 115 64
-164 147 181 116 65
-165 66 148 182 117
-166 67 149 183 118
-167 68 150 184 119
-168 69 151 185 120
-169 121 70 152 186
-170 187 122 71 153
-171 154 188 123 72
-172 155 189 124 73
-173 156 190 125 74
-174 157 191 126 75
-175 158 192 127 76
-176 77 145 159 128
-177 78 146 160 129
-178 79 147 161 130
-179 80 148 162 131
-180 132 81 149 163
-181 133 82 150 164
-182 165 134 83 151
-183 166 135 84 152
-184 167 136 85 153
-185 154 168 137 86
-186 155 169 138 87
-187 88 156 170 139
-188 89 157 171 140
-189 90 158 172 141
-190 91 159 173 142
-191 143 92 160 174
-192 144 93 161 175
0