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