Graph forms
for C4 [ 192, 209 ] = SS[192,108]
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On this page are computer-accessible forms for the graph C4[ 192, 209 ] =
SS[192,108].
(I) Following is a form readable by MAGMA:
g:=Graph<192|{ {1, 3}, {21, 23}, {20, 22}, {1, 2}, {1, 5}, {35, 39}, {34, 38},
{24, 28}, {1, 4}, {144, 149}, {33, 36}, {32, 37}, {25, 28}, {33, 39}, {144,
150}, {35, 37}, {34, 36}, {144, 151}, {176, 183}, {6, 14}, {144, 152}, {54, 62},
{7, 15}, {86, 94}, {34, 43}, {52, 61}, {50, 59}, {49, 56}, {35, 42}, {85, 92},
{7, 13}, {179, 185}, {177, 187}, {53, 63}, {48, 58}, {35, 41}, {34, 40}, {23,
29}, {82, 88}, {83, 89}, {7, 12}, {32, 43}, {22, 29}, {6, 10}, {180, 184}, {87,
91}, {6, 11}, {21, 24}, {20, 25}, {80, 93}, {6, 8}, {178, 188}, {55, 57}, {7,
9}, {81, 95}, {84, 90}, {51, 60}, {78, 94}, {171, 187}, {165, 181}, {142, 158},
{141, 157}, {132, 148}, {36, 53}, {167, 182}, {142, 159}, {76, 93}, {77, 92},
{77, 95}, {143, 156}, {170, 185}, {37, 49}, {174, 186}, {172, 184}, {143, 155},
{39, 51}, {38, 50}, {131, 151}, {133, 145}, {135, 147}, {79, 90}, {169, 188},
{143, 154}, {78, 88}, {143, 153}, {79, 89}, {137, 159}, {76, 91}, {128, 151},
{134, 145}, {138, 146}, {173, 181}, {162, 186}, {140, 148}, {139, 147}, {45,
52}, {175, 182}, {161, 184}, {160, 185}, {47, 54}, {46, 55}, {129, 152}, {132,
157}, {130, 152}, {43, 48}, {46, 53}, {133, 158}, {137, 146}, {40, 52}, {166,
186}, {42, 54}, {136, 148}, {44, 49}, {140, 145}, {41, 55}, {140, 146}, {45,
51}, {44, 50}, {47, 48}, {168, 183}, {164, 187}, {163, 188}, {140, 147}, {71,
103}, {65, 99}, {67, 97}, {68, 102}, {156, 191}, {70, 98}, {154, 190}, {153,
189}, {134, 162}, {64, 101}, {69, 96}, {66, 100}, {135, 160}, {152, 191}, {74,
98}, {159, 183}, {158, 182}, {157, 181}, {139, 163}, {136, 161}, {141, 164},
{72, 99}, {150, 189}, {149, 190}, {148, 191}, {74, 97}, {75, 96}, {72, 100},
{146, 190}, {145, 189}, {73, 101}, {131, 175}, {75, 102}, {73, 103}, {142, 160},
{141, 163}, {128, 174}, {138, 164}, {141, 162}, {142, 161}, {28, 44}, {29, 45},
{83, 99}, {84, 100}, {129, 176}, {28, 46}, {29, 47}, {80, 98}, {86, 101}, {130,
177}, {26, 47}, {31, 42}, {27, 46}, {82, 103}, {85, 96}, {26, 44}, {30, 40},
{27, 45}, {87, 97}, {30, 41}, {81, 102}, {69, 125}, {71, 127}, {31, 38}, {68,
126}, {64, 124}, {57, 121}, {16, 81}, {17, 80}, {16, 83}, {17, 82}, {17, 85},
{17, 84}, {16, 86}, {16, 87}, {63, 120}, {61, 122}, {60, 123}, {42, 109}, {41,
110}, {40, 111}, {62, 118}, {38, 108}, {30, 82}, {31, 83}, {56, 117}, {58, 119},
{30, 81}, {59, 116}, {31, 80}, {147, 192}, {26, 79}, {36, 113}, {27, 78}, {26,
76}, {27, 77}, {37, 114}, {151, 192}, {39, 112}, {18, 74}, {43, 115}, {18, 75},
{19, 73}, {19, 72}, {155, 192}, {18, 78}, {18, 79}, {21, 72}, {20, 73}, {19,
77}, {19, 76}, {21, 74}, {20, 75}, {8, 104}, {62, 94}, {11, 106}, {9, 107}, {63,
93}, {58, 88}, {57, 91}, {10, 105}, {12, 104}, {13, 105}, {14, 107}, {60, 89},
{23, 114}, {15, 106}, {22, 113}, {61, 90}, {59, 92}, {56, 95}, {25, 112}, {24,
115}, {48, 64}, {11, 122}, {55, 70}, {54, 71}, {51, 66}, {12, 126}, {10, 121},
{14, 125}, {8, 124}, {49, 69}, {33, 85}, {32, 84}, {24, 109}, {52, 65}, {9,
127}, {53, 67}, {50, 68}, {25, 111}, {13, 123}, {15, 120}, {33, 86}, {32, 87},
{14, 118}, {22, 110}, {12, 119}, {23, 108}, {8, 116}, {9, 117}, {11, 130}, {10,
128}, {13, 129}, {15, 131}, {56, 136}, {4, 182}, {3, 183}, {60, 137}, {62, 139},
{2, 181}, {61, 138}, {3, 187}, {5, 188}, {2, 184}, {63, 133}, {5, 191}, {4,
190}, {5, 185}, {58, 135}, {3, 189}, {4, 186}, {57, 134}, {59, 132}, {110, 174},
{112, 176}, {115, 179}, {67, 130}, {108, 173}, {2, 192}, {65, 131}, {66, 128},
{69, 135}, {71, 132}, {108, 169}, {110, 171}, {114, 180}, {65, 134}, {66, 133},
{70, 129}, {64, 136}, {109, 165}, {105, 160}, {106, 163}, {111, 166}, {67, 137},
{104, 162}, {106, 161}, {127, 180}, {70, 138}, {96, 173}, {98, 175}, {126, 179},
{68, 139}, {97, 174}, {107, 164}, {125, 178}, {117, 165}, {123, 171}, {124,
173}, {102, 180}, {122, 168}, {99, 176}, {103, 179}, {100, 177}, {101, 178},
{112, 167}, {114, 170}, {116, 172}, {113, 168}, {118, 170}, {111, 177}, {113,
175}, {119, 169}, {120, 166}, {121, 167}, {109, 178}, {115, 172}, {123, 155},
{122, 155}, {120, 156}, {121, 156}, {126, 150}, {124, 149}, {127, 149}, {125,
150}, {117, 153}, {118, 154}, {116, 153}, {119, 154}, {94, 172}, {91, 168},
{105, 157}, {107, 158}, {92, 170}, {93, 171}, {95, 169}, {104, 159}, {88, 165},
{90, 167}, {89, 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, 20)(2, 75)(3, 25)(4, 22)(5, 73)(6, 32)(7, 31)(8, 37)(9, 38)(10, 87)(11,
84)(12, 42)(13, 83)(14, 43)(15, 80)(16, 105)(17, 106)(18, 192)(19, 191)(21,
144)(23, 149)(24, 150)(26, 143)(27, 140)(28, 189)(29, 190)(30, 141)(33, 142)(34,
107)(35, 104)(36, 158)(39, 159)(40, 164)(41, 162)(44, 153)(45, 146)(46, 145)(47,
154)(48, 118)(49, 116)(50, 117)(51, 137)(52, 138)(53, 133)(54, 119)(55, 134)(56,
59)(58, 62)(64, 170)(65, 70)(66, 67)(68, 165)(69, 172)(71, 169)(72, 152)(74,
151)(76, 156)(77, 148)(78, 147)(79, 155)(81, 157)(82, 163)(85, 161)(86, 160)(88,
139)(89, 123)(90, 122)(91, 121)(92, 136)(93, 120)(94, 135)(95, 132)(96, 184)(97,
128)(98, 131)(99, 129)(100, 130)(101, 185)(102, 181)(103, 188)(108, 127)(109,
126)(110, 186)(111, 187)(112, 183)(113, 182)(114, 124)(115, 125)(166, 171)(167,
168)(173, 180)(178, 179) (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: (6, 7)(8, 9)(10, 15)(11, 13)(12, 14)(16, 17)(30, 33)(31, 32)(34, 35)(36,
41)(37, 38)(39, 40)(42, 43)(48, 54)(49, 50)(51, 52)(53, 55)(56, 59)(57, 63)(58,
62)(60, 61)(64, 71)(65, 66)(67, 70)(68, 69)(80, 87)(81, 85)(82, 86)(83, 84)(88,
94)(89, 90)(91, 93)(92, 95)(96, 102)(97, 98)(99, 100)(101, 103)(104, 107)(105,
106)(108, 114)(109, 115)(110, 113)(111, 112)(116, 117)(118, 119)(120, 121)(122,
123)(124, 127)(125, 126)(128, 131)(129, 130)(132, 136)(133, 134)(135, 139)(137,
138)(141, 142)(157, 161)(158, 162)(159, 164)(160, 163)(165, 172)(166, 167)(168,
171)(169, 170)(173, 180)(174, 175)(176, 177)(178, 179)(181, 184)(182, 186)(183,
187)(185, 188)
c: (1, 6)(2, 8)(3, 10)(4, 11)(5, 14)(7, 140)(9, 148)(12, 147)(13, 145)(15,
146)(16, 29)(17, 28)(18, 34)(19, 35)(20, 32)(21, 33)(22, 87)(23, 86)(24, 85)(25,
84)(26, 30)(27, 31)(36, 74)(37, 73)(38, 78)(39, 72)(40, 79)(41, 76)(42, 77)(43,
75)(44, 82)(45, 83)(46, 80)(47, 81)(48, 102)(49, 103)(50, 88)(51, 99)(52,
89)(53, 98)(54, 95)(55, 93)(56, 71)(57, 171)(58, 68)(59, 165)(60, 65)(61,
166)(62, 169)(63, 70)(64, 180)(66, 176)(67, 175)(69, 179)(90, 111)(91, 110)(92,
109)(94, 108)(96, 115)(97, 113)(100, 112)(101, 114)(104, 192)(105, 189)(106,
190)(107, 191)(116, 181)(117, 132)(118, 188)(119, 139)(120, 138)(121, 187)(122,
186)(123, 134)(124, 184)(125, 185)(126, 135)(127, 136)(128, 183)(129, 133)(130,
182)(131, 137)(141, 143)(142, 144)(149, 161)(150, 160)(151, 159)(152, 158)(153,
157)(154, 163)(155, 162)(156, 164)(167, 177)(168, 174)(170, 178)(172, 173)
d: (1, 16, 144, 34)(2, 87, 149, 36)(3, 81, 152, 38)(4, 86, 151, 43)(5, 83, 150,
40)(6, 29, 142, 18)(7, 28, 141, 19)(8, 22, 161, 74)(9, 46, 157, 76)(10, 47, 158,
78)(11, 23, 159, 75)(12, 25, 163, 72)(13, 44, 164, 77)(14, 45, 160, 79)(15, 24,
162, 73)(17, 143, 35, 140)(20, 106, 21, 104)(26, 107, 27, 105)(30, 191, 31,
189)(32, 190, 33, 192)(37, 146, 85, 155)(39, 147, 84, 154)(41, 148, 80, 153)(42,
145, 82, 156)(48, 182, 94, 128)(49, 138, 92, 123)(50, 187, 95, 129)(51, 135, 90,
118)(52, 185, 89, 125)(53, 181, 91, 127)(54, 133, 88, 121)(55, 132, 93, 117)(56,
70, 59, 171)(57, 71, 63, 165)(58, 167, 62, 66)(60, 69, 61, 170)(64, 175, 172,
174)(65, 179, 166, 178)(67, 173, 168, 180)(68, 177, 169, 176)(96, 122, 114,
137)(97, 124, 113, 184)(98, 116, 110, 136)(99, 126, 111, 188)(100, 119, 112,
139)(101, 131, 115, 186)(102, 130, 108, 183)(103, 120, 109, 134)
e: (2, 4)(3, 5)(8, 10)(9, 15)(11, 14)(12, 13)(16, 17)(20, 21)(22, 23)(24,
25)(26, 27)(30, 31)(32, 33)(34, 35)(36, 37)(38, 41)(39, 43)(40, 42)(44, 46)(45,
47)(48, 51)(49, 53)(50, 55)(52, 54)(56, 63)(57, 59)(58, 60)(61, 62)(64, 66)(65,
71)(67, 69)(68, 70)(72, 73)(74, 75)(76, 77)(78, 79)(80, 81)(82, 83)(84, 86)(85,
87)(88, 89)(90, 94)(91, 92)(93, 95)(96, 97)(98, 102)(99, 103)(100, 101)(104,
105)(106, 107)(108, 110)(109, 111)(112, 115)(113, 114)(116, 121)(117, 120)(118,
122)(119, 123)(124, 128)(125, 130)(126, 129)(127, 131)(132, 134)(133, 136)(135,
137)(138, 139)(145, 148)(146, 147)(149, 151)(150, 152)(153, 156)(154, 155)(157,
162)(158, 161)(159, 160)(163, 164)(165, 166)(167, 172)(168, 170)(169, 171)(173,
174)(175, 180)(176, 179)(177, 178)(181, 186)(182, 184)(183, 185)(187, 188)(189,
191)(190, 192)
f: (2, 3)(4, 5)(8, 11)(9, 13)(10, 14)(12, 15)(18, 19)(20, 21)(22, 24)(23,
25)(26, 27)(28, 29)(30, 31)(32, 33)(36, 43)(37, 39)(38, 40)(41, 42)(44, 45)(46,
47)(48, 53)(49, 51)(50, 52)(54, 55)(56, 60)(57, 62)(58, 63)(59, 61)(64, 67)(65,
68)(66, 69)(70, 71)(72, 75)(73, 74)(76, 78)(77, 79)(80, 82)(81, 83)(84, 85)(86,
87)(88, 93)(89, 95)(90, 92)(91, 94)(96, 100)(97, 101)(98, 103)(99, 102)(104,
106)(105, 107)(108, 111)(109, 110)(112, 114)(113, 115)(116, 122)(117, 123)(118,
121)(119, 120)(124, 130)(125, 128)(126, 131)(127, 129)(132, 138)(133, 135)(134,
139)(136, 137)(145, 147)(146, 148)(149, 152)(150, 151)(153, 155)(154, 156)(157,
164)(158, 160)(159, 161)(162, 163)(165, 171)(166, 169)(167, 170)(168, 172)(173,
177)(174, 178)(175, 179)(176, 180)(181, 187)(182, 185)(183, 184)(186, 188)(189,
192)(190, 191)
g: (1, 48, 189, 54)(2, 64, 153, 71)(3, 47)(4, 43, 145, 42)(5, 58, 150, 62)(6,
92, 105, 96)(7, 102, 106, 95)(8, 59, 157, 173)(9, 180, 161, 56)(10, 85)(11, 77,
13, 75)(12, 68, 163, 169)(14, 170, 160, 69)(15, 81)(16, 120, 30, 131)(17, 128,
33, 121)(18, 130, 27, 129)(19, 123, 20, 122)(21, 137, 28, 138)(22, 168, 76,
171)(23, 159, 44, 164)(24, 146)(25, 61, 72, 60)(26, 187, 29, 183)(31, 186, 34,
134)(32, 133, 35, 182)(36, 57, 80, 174)(37, 158)(38, 162)(39, 167, 84, 66)(40,
65, 83, 166)(41, 175, 87, 63)(45, 176, 79, 177)(46, 70, 74, 67)(49, 107, 114,
142)(50, 141, 108, 104)(51, 112, 90, 100)(52, 99, 89, 111)(53, 55, 98, 97)(73,
155)(78, 152)(82, 151, 86, 156)(88, 144, 94, 191)(91, 93, 110, 113)(101, 143,
103, 192)(109, 190, 115, 140)(116, 132, 181, 124)(117, 127, 184, 136)(118, 185,
135, 125)(119, 126, 139, 188)(147, 178, 154, 179)(148, 165, 149, 172)
C4[ 192, 209 ]
192
-1 2 3 4 5
-2 1 181 192 184
-3 187 1 189 183
-4 1 190 182 186
-5 1 188 191 185
-6 11 14 8 10
-7 12 13 15 9
-8 124 104 6 116
-9 127 7 117 107
-10 121 6 105 128
-11 122 6 106 130
-12 104 126 7 119
-13 123 105 7 129
-14 125 6 107 118
-15 7 106 120 131
-16 81 83 86 87
-17 80 82 84 85
-18 78 79 74 75
-19 77 72 73 76
-20 22 25 73 75
-21 23 24 72 74
-22 110 113 29 20
-23 114 29 108 21
-24 115 28 21 109
-25 111 112 28 20
-26 44 79 47 76
-27 77 45 78 46
-28 44 24 46 25
-29 22 23 45 47
-30 81 82 40 41
-31 80 38 83 42
-32 37 84 43 87
-33 36 39 85 86
-34 36 38 40 43
-35 37 39 41 42
-36 33 34 113 53
-37 35 114 49 32
-38 34 50 31 108
-39 33 35 112 51
-40 34 111 30 52
-41 55 110 35 30
-42 35 31 54 109
-43 34 48 115 32
-44 26 49 28 50
-45 27 29 51 52
-46 55 27 28 53
-47 26 48 29 54
-48 47 58 64 43
-49 44 56 69 37
-50 44 68 59 38
-51 66 45 60 39
-52 45 61 40 65
-53 67 46 36 63
-54 47 71 62 42
-55 46 57 70 41
-56 136 49 95 117
-57 55 121 134 91
-58 88 135 48 119
-59 132 92 50 116
-60 89 123 137 51
-61 122 90 138 52
-62 94 139 118 54
-63 133 93 53 120
-64 101 124 48 136
-65 99 134 52 131
-66 100 133 51 128
-67 137 53 97 130
-68 102 126 50 139
-69 135 125 49 96
-70 55 138 129 98
-71 132 103 127 54
-72 99 100 19 21
-73 101 103 19 20
-74 18 97 21 98
-75 102 18 96 20
-76 91 26 93 19
-77 92 27 95 19
-78 88 27 94 18
-79 89 90 26 18
-80 93 17 31 98
-81 102 16 95 30
-82 88 103 17 30
-83 99 89 16 31
-84 100 90 17 32
-85 33 92 17 96
-86 33 101 16 94
-87 91 16 97 32
-88 165 78 58 82
-89 166 79 60 83
-90 79 167 61 84
-91 57 168 76 87
-92 77 59 170 85
-93 80 171 63 76
-94 78 62 172 86
-95 77 56 81 169
-96 69 85 173 75
-97 67 74 174 87
-98 80 70 74 175
-99 176 72 83 65
-100 66 177 72 84
-101 178 73 64 86
-102 68 81 180 75
-103 179 71 82 73
-104 12 159 8 162
-105 13 157 160 10
-106 11 15 161 163
-107 14 158 9 164
-108 23 169 38 173
-109 165 24 178 42
-110 22 171 41 174
-111 166 177 25 40
-112 176 167 25 39
-113 22 36 168 175
-114 23 37 180 170
-115 24 179 172 43
-116 59 172 8 153
-117 165 56 9 153
-118 154 14 170 62
-119 154 12 58 169
-120 166 156 15 63
-121 57 156 167 10
-122 11 155 168 61
-123 155 13 60 171
-124 149 8 173 64
-125 178 14 69 150
-126 12 68 179 150
-127 180 71 149 9
-128 66 151 174 10
-129 176 13 70 152
-130 11 67 177 152
-131 15 151 65 175
-132 157 59 71 148
-133 66 145 158 63
-134 57 145 162 65
-135 58 69 147 160
-136 56 148 161 64
-137 67 146 60 159
-138 146 70 61 164
-139 68 147 62 163
-140 145 146 147 148
-141 157 162 163 164
-142 158 159 160 161
-143 154 155 156 153
-144 149 150 151 152
-145 133 134 189 140
-146 190 137 138 140
-147 135 192 139 140
-148 132 136 191 140
-149 144 124 190 127
-150 144 189 125 126
-151 144 192 128 131
-152 144 191 129 130
-153 143 189 116 117
-154 143 190 118 119
-155 143 122 123 192
-156 121 143 191 120
-157 132 181 105 141
-158 133 182 107 142
-159 104 137 183 142
-160 135 105 185 142
-161 136 106 184 142
-162 134 104 141 186
-163 188 106 139 141
-164 187 138 107 141
-165 88 181 117 109
-166 89 111 120 186
-167 121 90 112 182
-168 122 91 113 183
-169 188 95 108 119
-170 92 114 118 185
-171 110 187 123 93
-172 115 94 116 184
-173 124 181 96 108
-174 110 128 97 186
-175 113 182 98 131
-176 99 112 183 129
-177 187 100 111 130
-178 188 101 125 109
-179 103 115 126 185
-180 102 114 127 184
-181 165 2 157 173
-182 167 4 158 175
-183 176 3 168 159
-184 2 180 161 172
-185 179 5 170 160
-186 166 4 162 174
-187 177 3 171 164
-188 178 169 5 163
-189 145 3 150 153
-190 154 146 4 149
-191 156 5 148 152
-192 155 2 147 151
0