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