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