Graph forms
for C4 [ 192, 213 ] = SS[192,113]
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On this page are computer-accessible forms for the graph C4[ 192, 213 ] =
SS[192,113].
(I) Following is a form readable by MAGMA:
g:=Graph<192|{ {6, 7}, {50, 51}, {1, 3}, {161, 163}, {1, 2}, {1, 5}, {179, 183},
{50, 54}, {1, 4}, {178, 183}, {160, 165}, {49, 55}, {162, 164}, {50, 52}, {129,
135}, {48, 55}, {50, 53}, {105, 110}, {48, 56}, {70, 78}, {67, 75}, {49, 57},
{49, 56}, {181, 188}, {180, 189}, {177, 184}, {176, 185}, {66, 75}, {130, 136},
{180, 190}, {49, 58}, {179, 184}, {70, 77}, {68, 79}, {101, 110}, {129, 138},
{130, 137}, {6, 10}, {182, 186}, {96, 108}, {128, 140}, {64, 77}, {162, 175},
{160, 173}, {65, 76}, {98, 111}, {128, 141}, {6, 8}, {181, 187}, {97, 111}, {6,
9}, {182, 185}, {67, 76}, {74, 90}, {71, 86}, {173, 188}, {172, 189}, {169,
184}, {161, 176}, {73, 88}, {100, 117}, {71, 85}, {12, 31}, {74, 89}, {99, 112},
{11, 31}, {69, 81}, {68, 80}, {100, 112}, {47, 58}, {175, 186}, {174, 187},
{171, 190}, {168, 189}, {97, 116}, {98, 119}, {103, 114}, {47, 57}, {64, 87},
{69, 82}, {102, 113}, {36, 60}, {106, 114}, {104, 113}, {167, 190}, {165, 188},
{96, 122}, {163, 185}, {65, 90}, {72, 83}, {66, 89}, {99, 120}, {33, 61}, {72,
84}, {101, 121}, {106, 118}, {38, 59}, {170, 183}, {166, 187}, {104, 117}, {32,
62}, {164, 186}, {73, 87}, {37, 59}, {102, 120}, {103, 121}, {32, 63}, {35, 60},
{34, 61}, {105, 118}, {31, 63}, {31, 62}, {142, 175}, {143, 174}, {139, 175},
{10, 47}, {9, 47}, {88, 127}, {93, 122}, {91, 115}, {95, 119}, {131, 171}, {132,
172}, {133, 172}, {94, 116}, {80, 123}, {85, 126}, {86, 125}, {13, 33}, {134,
171}, {14, 32}, {15, 32}, {158, 177}, {157, 178}, {83, 124}, {82, 125}, {81,
126}, {84, 123}, {92, 115}, {19, 35}, {153, 169}, {151, 167}, {30, 46}, {20,
36}, {91, 107}, {92, 108}, {147, 163}, {148, 164}, {21, 36}, {159, 174}, {153,
168}, {78, 127}, {29, 44}, {28, 45}, {149, 164}, {16, 34}, {154, 168}, {152,
170}, {27, 41}, {95, 109}, {148, 166}, {17, 34}, {155, 168}, {154, 169}, {79,
124}, {29, 46}, {22, 37}, {18, 33}, {94, 109}, {149, 166}, {150, 165}, {23, 35},
{30, 43}, {150, 163}, {27, 45}, {28, 42}, {93, 107}, {135, 177}, {147, 165}, {7,
48}, {158, 169}, {157, 170}, {156, 171}, {155, 172}, {8, 48}, {159, 166}, {136,
178}, {137, 178}, {156, 167}, {138, 177}, {140, 176}, {145, 173}, {141, 176},
{151, 170}, {24, 38}, {144, 174}, {25, 38}, {152, 167}, {26, 37}, {146, 173},
{24, 94}, {26, 93}, {19, 91}, {20, 95}, {19, 92}, {11, 91}, {13, 92}, {12, 94},
{12, 95}, {11, 93}, {52, 84}, {54, 86}, {33, 64}, {43, 74}, {39, 70}, {34, 64},
{53, 87}, {42, 72}, {35, 65}, {54, 85}, {14, 106}, {46, 74}, {39, 67}, {38, 66},
{36, 65}, {55, 82}, {45, 72}, {44, 73}, {55, 81}, {37, 66}, {63, 88}, {52, 83},
{46, 73}, {44, 68}, {14, 103}, {57, 80}, {51, 90}, {41, 67}, {51, 89}, {45, 71},
{15, 100}, {62, 85}, {61, 86}, {59, 80}, {15, 99}, {42, 70}, {40, 68}, {13, 96},
{53, 88}, {40, 69}, {41, 71}, {43, 69}, {59, 84}, {62, 81}, {61, 82}, {60, 83},
{18, 98}, {23, 102}, {63, 78}, {58, 75}, {22, 100}, {18, 97}, {60, 79}, {17,
101}, {23, 99}, {56, 77}, {16, 102}, {58, 76}, {57, 79}, {56, 78}, {20, 98},
{16, 104}, {17, 105}, {24, 97}, {26, 96}, {21, 105}, {25, 101}, {22, 104}, {25,
103}, {21, 106}, {23, 151}, {30, 158}, {28, 156}, {24, 154}, {25, 154}, {30,
157}, {26, 153}, {17, 149}, {27, 159}, {19, 151}, {16, 149}, {18, 148}, {28,
155}, {54, 191}, {53, 191}, {20, 152}, {21, 152}, {22, 153}, {39, 182}, {39,
179}, {8, 157}, {10, 159}, {8, 158}, {11, 147}, {44, 180}, {14, 150}, {13, 148},
{15, 150}, {41, 179}, {7, 156}, {7, 155}, {42, 182}, {40, 180}, {40, 181}, {43,
181}, {12, 147}, {9, 161}, {10, 160}, {9, 162}, {5, 183}, {2, 187}, {4, 189},
{3, 186}, {3, 185}, {5, 191}, {4, 190}, {4, 191}, {27, 160}, {29, 161}, {5,
184}, {2, 188}, {29, 162}, {2, 192}, {3, 192}, {75, 130}, {76, 129}, {77, 128},
{87, 128}, {89, 130}, {90, 129}, {110, 142}, {111, 143}, {112, 145}, {113, 144},
{109, 142}, {111, 140}, {107, 141}, {108, 139}, {125, 145}, {126, 144}, {125,
146}, {115, 131}, {118, 134}, {121, 137}, {120, 137}, {126, 143}, {127, 142},
{122, 136}, {51, 192}, {116, 135}, {117, 134}, {119, 132}, {52, 192}, {115,
135}, {127, 139}, {116, 131}, {123, 131}, {124, 132}, {124, 133}, {107, 144},
{112, 139}, {110, 146}, {113, 141}, {118, 138}, {121, 133}, {108, 145}, {114,
143}, {120, 133}, {123, 134}, {114, 140}, {122, 132}, {109, 146}, {117, 138},
{119, 136} }>;
(II) A more general form is to represent the graph as the orbit of {6, 7}
under the group generated by the following permutations:
a: (1, 6)(2, 8)(3, 7)(4, 9)(5, 10)(11, 19)(12, 23)(13, 26)(14, 21)(15, 20)(16,
24)(17, 25)(18, 22)(27, 179)(28, 182)(29, 180)(30, 181)(31, 35)(32, 36)(33,
37)(34, 38)(39, 45)(40, 46)(47, 191)(48, 192)(49, 50)(51, 55)(52, 56)(53,
57)(54, 58)(59, 64)(60, 63)(61, 66)(62, 65)(67, 71)(68, 73)(69, 74)(70, 72)(75,
86)(76, 85)(77, 84)(78, 83)(79, 88)(80, 87)(81, 90)(82, 89)(92, 93)(94, 102)(95,
99)(97, 104)(98, 100)(103, 105)(107, 115)(108, 122)(109, 120)(110, 121)(111,
117)(112, 119)(113, 116)(114, 118)(123, 128)(124, 127)(125, 130)(126, 129)(131,
141)(132, 139)(133, 142)(134, 140)(135, 144)(136, 145)(137, 146)(138, 143)(147,
151)(148, 153)(149, 154)(150, 152)(155, 186)(156, 185)(157, 188)(158, 187)(159,
184)(160, 183)(161, 190)(162, 189)(163, 167)(164, 168)(165, 170)(166, 169)(171,
176)(172, 175)(173, 178)(174, 177) (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: (11, 17)(12, 16)(13, 14)(15, 18)(19, 25)(20, 22)(21, 26)(23, 24)(31, 34)(32,
33)(35, 38)(36, 37)(59, 60)(61, 62)(63, 64)(65, 66)(75, 76)(77, 78)(79, 80)(81,
82)(83, 84)(85, 86)(87, 88)(89, 90)(91, 101)(92, 103)(93, 105)(94, 102)(95,
104)(96, 106)(97, 99)(98, 100)(107, 110)(108, 114)(109, 113)(111, 112)(115,
121)(116, 120)(117, 119)(118, 122)(123, 124)(125, 126)(127, 128)(129, 130)(131,
133)(132, 134)(135, 137)(136, 138)(139, 140)(141, 142)(143, 145)(144, 146)(147,
149)(148, 150)(151, 154)(152, 153)(155, 156)(157, 158)(159, 160)(161, 162)(163,
164)(165, 166)(167, 168)(169, 170)(171, 172)(173, 174)(175, 176)(177, 178)(183,
184)(185, 186)(187, 188)(189, 190)
c: (1, 75, 40, 183, 49, 190, 39, 80)(2, 130, 69, 170, 56, 171, 182, 59)(3, 66,
181, 178, 55, 167, 70, 123)(4, 67, 68, 5, 58, 180, 179, 57)(6, 155, 45, 83, 50,
90, 46, 158)(7, 28, 72, 52, 51, 74, 30, 8)(9, 168, 27, 124, 54, 65, 73, 177)(10,
172, 71, 60, 53, 129, 29, 169)(11, 108, 109, 18, 17, 114, 113, 15)(12, 13, 110,
111, 16, 14, 107, 112)(19, 127, 116, 164, 25, 174, 120, 62)(20, 64, 118, 176,
22, 165, 122, 125)(21, 128, 117, 163, 26, 173, 119, 61)(23, 63, 115, 175, 24,
166, 121, 126)(31, 92, 142, 97, 149, 103, 144, 99)(32, 91, 139, 94, 148, 101,
143, 102)(33, 105, 140, 104, 150, 93, 145, 95)(34, 106, 141, 100, 147, 96, 146,
98)(35, 88, 135, 162, 154, 159, 133, 85)(36, 87, 138, 161, 153, 160, 132,
86)(37, 188, 136, 82, 152, 77, 134, 185)(38, 187, 137, 81, 151, 78, 131,
186)(41, 79, 191, 76, 44, 184, 47, 189)(42, 84, 192, 89, 43, 157, 48, 156)
d: (11, 13)(12, 18)(14, 17)(15, 16)(31, 33)(32, 34)(61, 62)(63, 64)(77, 78)(81,
82)(85, 86)(87, 88)(91, 92)(93, 96)(94, 97)(95, 98)(99, 102)(100, 104)(101,
103)(105, 106)(107, 108)(109, 111)(110, 114)(112, 113)(125, 126)(127, 128)(139,
141)(140, 142)(143, 146)(144, 145)(147, 148)(149, 150)(159, 160)(161, 162)(163,
164)(165, 166)(173, 174)(175, 176)(185, 186)(187, 188)
e: (2, 5)(3, 4)(7, 9)(8, 10)(11, 19)(12, 23)(13, 26)(14, 21)(15, 20)(16, 24)(17,
25)(18, 22)(27, 30)(28, 29)(31, 35)(32, 36)(33, 37)(34, 38)(39, 40)(41, 43)(42,
44)(45, 46)(47, 48)(51, 54)(52, 53)(55, 58)(56, 57)(59, 64)(60, 63)(61, 66)(62,
65)(67, 69)(68, 70)(71, 74)(72, 73)(75, 82)(76, 81)(77, 80)(78, 79)(83, 88)(84,
87)(85, 90)(86, 89)(92, 93)(94, 102)(95, 99)(97, 104)(98, 100)(103, 105)(107,
115)(108, 122)(109, 120)(110, 121)(111, 117)(112, 119)(113, 116)(114, 118)(123,
128)(124, 127)(125, 130)(126, 129)(131, 141)(132, 139)(133, 142)(134, 140)(135,
144)(136, 145)(137, 146)(138, 143)(147, 151)(148, 153)(149, 154)(150, 152)(155,
162)(156, 161)(157, 160)(158, 159)(163, 167)(164, 168)(165, 170)(166, 169)(171,
176)(172, 175)(173, 178)(174, 177)(179, 181)(180, 182)(183, 188)(184, 187)(185,
190)(186, 189)(191, 192)
f: (2, 4)(3, 5)(7, 10)(8, 9)(11, 24, 17, 23)(12, 25, 16, 19)(13, 20, 14, 22)(15,
26, 18, 21)(27, 28)(29, 30)(31, 38, 34, 35)(32, 37, 33, 36)(41, 42)(43, 44)(47,
48)(51, 53)(52, 54)(55, 57)(56, 58)(59, 61, 60, 62)(63, 66, 64, 65)(67, 70)(68,
69)(71, 72)(73, 74)(75, 77, 76, 78)(79, 81, 80, 82)(83, 85, 84, 86)(87, 90, 88,
89)(91, 94, 101, 102)(92, 95, 103, 104)(93, 97, 105, 99)(96, 98, 106, 100)(107,
116, 110, 120)(108, 119, 114, 117)(109, 121, 113, 115)(111, 118, 112, 122)(123,
125, 124, 126)(127, 130, 128, 129)(131, 146, 133, 144)(132, 143, 134, 145)(135,
142, 137, 141)(136, 140, 138, 139)(147, 154, 149, 151)(148, 152, 150, 153)(155,
159, 156, 160)(157, 161, 158, 162)(163, 169, 164, 170)(165, 168, 166, 167)(171,
173, 172, 174)(175, 178, 176, 177)(179, 182)(180, 181)(183, 185, 184, 186)(187,
190, 188, 189)(191, 192)
g: (19, 26)(20, 24)(21, 25)(22, 23)(35, 37)(36, 38)(59, 60)(65, 66)(75, 76)(79,
80)(83, 84)(89, 90)(91, 93)(92, 96)(94, 95)(97, 98)(99, 100)(101, 105)(102,
104)(103, 106)(115, 122)(116, 119)(117, 120)(118, 121)(123, 124)(129, 130)(131,
132)(133, 134)(135, 136)(137, 138)(151, 153)(152, 154)(155, 156)(157, 158)(167,
168)(169, 170)(171, 172)(177, 178)(183, 184)(189, 190)
h: (1, 31, 133, 41, 139, 38)(2, 11, 124, 27, 108, 59)(3, 12, 172, 71, 112,
66)(4, 62, 120, 67, 175, 24)(5, 63, 121, 179, 127, 25)(6, 33, 134, 43, 141,
36)(7, 61, 117, 74, 176, 20)(8, 64, 118, 30, 128, 21)(9, 18, 171, 69, 113,
65)(10, 13, 123, 181, 107, 60)(14, 178, 70, 110, 169, 53)(15, 130, 182, 109,
168, 54)(16, 129, 29, 111, 167, 55)(17, 177, 73, 114, 170, 56)(19, 57, 166, 115,
68, 174)(22, 51, 163, 119, 28, 125)(23, 58, 164, 116, 180, 126)(26, 52, 165,
122, 72, 173)(32, 137, 39, 142, 154, 191)(34, 138, 46, 140, 152, 48)(35, 47,
148, 131, 40, 144)(37, 192, 147, 132, 45, 145)(42, 146, 153, 50, 150, 136)(44,
143, 151, 49, 149, 135)(75, 186, 94, 189, 85, 99)(76, 162, 97, 190, 81, 102)(77,
105, 158, 87, 106, 157)(78, 101, 184, 88, 103, 183)(79, 159, 92, 80, 187,
91)(82, 104, 90, 161, 98, 156)(83, 160, 96, 84, 188, 93)(86, 100, 89, 185, 95,
155)
C4[ 192, 213 ]
192
-1 2 3 4 5
-2 187 1 188 192
-3 1 192 185 186
-4 1 189 190 191
-5 1 191 183 184
-6 7 8 9 10
-7 155 156 48 6
-8 157 48 158 6
-9 47 6 161 162
-10 47 159 6 160
-11 91 147 93 31
-12 147 94 95 31
-13 33 92 148 96
-14 103 106 150 32
-15 99 100 150 32
-16 34 102 104 149
-17 34 101 105 149
-18 33 148 97 98
-19 35 91 92 151
-20 36 95 152 98
-21 36 105 106 152
-22 100 37 104 153
-23 99 35 102 151
-24 154 38 94 97
-25 154 101 103 38
-26 37 93 96 153
-27 45 159 160 41
-28 45 155 156 42
-29 44 46 161 162
-30 46 157 158 43
-31 11 12 62 63
-32 14 15 62 63
-33 13 61 18 64
-34 16 17 61 64
-35 23 60 19 65
-36 60 20 21 65
-37 22 66 26 59
-38 66 24 25 59
-39 67 179 70 182
-40 68 69 180 181
-41 67 179 27 71
-42 70 28 72 182
-43 69 181 30 74
-44 68 180 29 73
-45 27 71 28 72
-46 29 73 30 74
-47 57 58 9 10
-48 55 56 7 8
-49 55 56 57 58
-50 51 52 53 54
-51 89 90 192 50
-52 192 50 83 84
-53 88 191 50 87
-54 191 50 85 86
-55 48 81 49 82
-56 77 78 48 49
-57 79 47 80 49
-58 47 49 75 76
-59 80 37 38 84
-60 35 79 36 83
-61 33 34 82 86
-62 81 85 31 32
-63 88 78 31 32
-64 33 77 34 87
-65 35 90 36 76
-66 89 37 38 75
-67 39 41 75 76
-68 44 79 80 40
-69 81 82 40 43
-70 77 78 39 42
-71 45 41 85 86
-72 45 83 84 42
-73 44 88 46 87
-74 89 46 90 43
-75 66 67 58 130
-76 67 58 129 65
-77 56 70 128 64
-78 56 70 127 63
-79 57 68 124 60
-80 57 68 123 59
-81 55 69 126 62
-82 55 69 125 61
-83 124 60 72 52
-84 123 59 72 52
-85 71 126 62 54
-86 125 71 61 54
-87 73 128 53 64
-88 127 73 63 53
-89 66 51 74 130
-90 51 74 129 65
-91 11 115 19 107
-92 13 115 19 108
-93 11 122 26 107
-94 12 24 116 109
-95 12 20 119 109
-96 122 13 26 108
-97 111 24 116 18
-98 111 18 20 119
-99 23 112 15 120
-100 22 112 15 117
-101 110 121 25 17
-102 23 113 16 120
-103 121 14 25 114
-104 22 113 16 117
-105 110 17 118 21
-106 14 114 118 21
-107 144 91 93 141
-108 145 92 139 96
-109 146 94 95 142
-110 101 146 105 142
-111 143 140 97 98
-112 99 100 145 139
-113 144 102 104 141
-114 143 103 106 140
-115 91 135 92 131
-116 135 94 97 131
-117 100 134 104 138
-118 134 105 138 106
-119 132 136 95 98
-120 99 133 102 137
-121 133 101 103 137
-122 132 136 93 96
-123 134 80 84 131
-124 132 133 79 83
-125 145 146 82 86
-126 143 144 81 85
-127 88 78 139 142
-128 77 140 141 87
-129 90 135 138 76
-130 89 136 137 75
-131 123 115 116 171
-132 122 124 172 119
-133 121 124 172 120
-134 123 171 117 118
-135 177 115 116 129
-136 122 178 119 130
-137 121 178 130 120
-138 177 117 118 129
-139 112 127 108 175
-140 176 111 114 128
-141 176 113 128 107
-142 110 127 109 175
-143 111 114 126 174
-144 113 126 107 174
-145 112 125 173 108
-146 110 125 173 109
-147 11 165 12 163
-148 166 13 18 164
-149 166 16 17 164
-150 165 14 15 163
-151 23 167 170 19
-152 167 170 20 21
-153 22 168 26 169
-154 24 25 168 169
-155 168 28 7 172
-156 167 28 171 7
-157 178 170 8 30
-158 177 169 8 30
-159 166 27 174 10
-160 165 27 173 10
-161 176 29 9 163
-162 29 9 164 175
-163 147 150 161 185
-164 148 149 162 186
-165 188 147 160 150
-166 187 148 159 149
-167 156 190 151 152
-168 154 155 189 153
-169 154 158 184 153
-170 157 183 151 152
-171 134 156 190 131
-172 132 133 155 189
-173 188 145 146 160
-174 143 187 144 159
-175 139 162 142 186
-176 161 140 141 185
-177 135 158 138 184
-178 157 136 137 183
-179 39 183 41 184
-180 44 189 190 40
-181 187 188 40 43
-182 39 42 185 186
-183 178 179 5 170
-184 177 179 169 5
-185 176 3 182 163
-186 3 182 164 175
-187 166 2 181 174
-188 165 2 181 173
-189 168 4 180 172
-190 167 4 180 171
-191 4 5 53 54
-192 2 3 51 52
0