Graph forms
for C4 [ 192, 208 ] = SS[192,107]
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On this page are computer-accessible forms for the graph C4[ 192, 208 ] =
SS[192,107].
(I) Following is a form readable by MAGMA:
g:=Graph<192|{ {1, 3}, {17, 19}, {1, 2}, {21, 22}, {17, 18}, {1, 5}, {35, 39},
{32, 36}, {16, 20}, {1, 4}, {144, 149}, {34, 39}, {33, 36}, {32, 37}, {18, 23},
{16, 21}, {144, 150}, {177, 183}, {33, 38}, {144, 151}, {6, 14}, {144, 152},
{53, 61}, {51, 59}, {34, 42}, {7, 15}, {55, 62}, {84, 93}, {87, 94}, {48, 58},
{179, 185}, {178, 184}, {82, 88}, {83, 89}, {6, 13}, {35, 40}, {19, 24}, {7,
12}, {6, 10}, {176, 188}, {52, 56}, {7, 11}, {80, 92}, {20, 25}, {50, 63}, {49,
60}, {86, 91}, {6, 8}, {7, 9}, {81, 95}, {54, 57}, {180, 187}, {85, 90}, {39,
55}, {165, 181}, {142, 158}, {141, 157}, {132, 148}, {76, 93}, {167, 182}, {142,
159}, {77, 92}, {79, 94}, {38, 52}, {171, 185}, {77, 95}, {143, 156}, {168,
187}, {76, 88}, {174, 186}, {172, 184}, {143, 155}, {135, 147}, {78, 90}, {79,
91}, {131, 151}, {133, 145}, {143, 154}, {169, 188}, {36, 50}, {143, 153}, {37,
51}, {78, 89}, {128, 151}, {134, 145}, {135, 159}, {173, 181}, {162, 186}, {140,
148}, {139, 147}, {138, 146}, {40, 49}, {175, 182}, {161, 184}, {160, 185}, {47,
54}, {46, 55}, {45, 52}, {129, 152}, {132, 157}, {42, 48}, {130, 152}, {46, 53},
{137, 146}, {133, 158}, {41, 53}, {166, 186}, {136, 148}, {45, 49}, {44, 48},
{43, 54}, {170, 183}, {140, 145}, {47, 50}, {140, 146}, {44, 51}, {164, 187},
{163, 188}, {140, 147}, {68, 101}, {67, 96}, {156, 191}, {64, 100}, {154, 190},
{153, 189}, {69, 97}, {70, 98}, {71, 99}, {134, 162}, {66, 103}, {65, 102},
{152, 191}, {72, 96}, {159, 183}, {158, 182}, {157, 181}, {139, 163}, {73, 97},
{74, 99}, {141, 164}, {137, 160}, {136, 161}, {73, 98}, {150, 189}, {149, 190},
{148, 191}, {75, 103}, {146, 190}, {145, 189}, {131, 175}, {72, 101}, {75, 102},
{74, 100}, {142, 160}, {141, 163}, {138, 164}, {128, 174}, {141, 162}, {142,
161}, {84, 100}, {81, 96}, {82, 99}, {130, 179}, {85, 103}, {29, 41}, {26, 47},
{30, 43}, {27, 46}, {80, 101}, {83, 102}, {87, 98}, {129, 180}, {24, 46}, {31,
41}, {30, 40}, {28, 42}, {27, 45}, {26, 44}, {25, 47}, {28, 43}, {86, 97}, {29,
37}, {71, 127}, {31, 38}, {68, 125}, {22, 44}, {23, 45}, {64, 124}, {67, 126},
{57, 121}, {40, 108}, {62, 122}, {43, 110}, {61, 123}, {42, 109}, {63, 120},
{31, 87}, {60, 116}, {39, 111}, {28, 85}, {29, 86}, {29, 81}, {30, 82}, {28,
81}, {59, 118}, {58, 119}, {56, 117}, {31, 82}, {30, 83}, {24, 72}, {26, 75},
{27, 74}, {26, 72}, {27, 73}, {25, 74}, {147, 192}, {36, 113}, {38, 115}, {24,
79}, {151, 192}, {37, 114}, {25, 78}, {41, 112}, {22, 77}, {155, 192}, {23, 76},
{16, 76}, {23, 75}, {17, 77}, {16, 79}, {22, 73}, {17, 78}, {8, 104}, {19, 114},
{63, 94}, {57, 91}, {9, 106}, {60, 95}, {59, 88}, {18, 113}, {11, 104}, {10,
105}, {15, 107}, {62, 90}, {61, 89}, {56, 92}, {12, 105}, {21, 112}, {14, 107},
{13, 106}, {58, 93}, {20, 115}, {13, 125}, {54, 70}, {32, 80}, {34, 80}, {10,
121}, {51, 64}, {32, 83}, {8, 124}, {33, 85}, {11, 126}, {49, 68}, {35, 86},
{34, 87}, {33, 84}, {14, 123}, {9, 127}, {55, 65}, {12, 122}, {15, 120}, {53,
66}, {52, 67}, {50, 69}, {48, 71}, {35, 84}, {20, 108}, {21, 111}, {13, 118},
{8, 116}, {18, 110}, {11, 119}, {9, 117}, {19, 109}, {10, 128}, {15, 131}, {12,
130}, {14, 129}, {56, 136}, {59, 139}, {4, 182}, {5, 183}, {2, 181}, {61, 138},
{62, 137}, {3, 187}, {60, 132}, {5, 188}, {2, 184}, {5, 191}, {4, 190}, {3,
185}, {63, 133}, {58, 135}, {3, 189}, {4, 186}, {57, 134}, {110, 174}, {108,
173}, {115, 178}, {2, 192}, {65, 131}, {66, 128}, {114, 176}, {68, 135}, {71,
132}, {112, 180}, {110, 171}, {108, 170}, {65, 134}, {66, 133}, {69, 130}, {70,
129}, {64, 136}, {67, 139}, {104, 160}, {107, 163}, {109, 165}, {111, 166},
{104, 162}, {107, 161}, {96, 173}, {98, 175}, {125, 176}, {127, 178}, {106,
164}, {69, 138}, {70, 137}, {97, 174}, {126, 177}, {117, 165}, {123, 171}, {124,
173}, {102, 180}, {122, 168}, {99, 176}, {103, 179}, {100, 177}, {101, 178},
{112, 167}, {116, 172}, {113, 168}, {115, 169}, {109, 177}, {111, 179}, {118,
170}, {113, 175}, {114, 172}, {119, 169}, {120, 166}, {121, 167}, {123, 155},
{122, 155}, {120, 156}, {121, 156}, {126, 150}, {124, 149}, {127, 149}, {125,
150}, {117, 153}, {118, 154}, {116, 153}, {119, 154}, {93, 172}, {91, 168},
{105, 157}, {106, 158}, {94, 171}, {92, 170}, {95, 169}, {105, 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: (2, 4)(3, 5)(8, 10)(9, 15)(11, 12)(13, 14)(16, 17)(18, 20)(19, 21)(22,
24)(23, 25)(26, 27)(28, 35)(31, 32)(36, 38)(37, 41)(39, 42)(40, 43)(44, 46)(45,
47)(48, 55)(49, 54)(50, 52)(51, 53)(56, 63)(57, 60)(58, 62)(59, 61)(64, 66)(65,
71)(67, 69)(68, 70)(72, 73)(74, 75)(76, 78)(77, 79)(80, 87)(81, 86)(82, 83)(84,
85)(88, 89)(90, 93)(91, 95)(92, 94)(96, 97)(98, 101)(99, 102)(100, 103)(104,
105)(106, 107)(108, 110)(109, 111)(112, 114)(113, 115)(116, 121)(117, 120)(118,
123)(119, 122)(124, 128)(125, 129)(126, 130)(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, 169)(170, 171)(173,
174)(175, 178)(176, 180)(177, 179)(181, 186)(182, 184)(183, 185)(187, 188)(189,
191)(190, 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, 5)(3, 4)(6, 7)(8, 11)(9, 13)(10, 12)(14, 15)(16, 17)(18, 21)(19, 20)(22,
23)(24, 25)(26, 27)(28, 35)(29, 33)(30, 34)(31, 32)(36, 41)(37, 38)(39, 43)(40,
42)(44, 45)(46, 47)(48, 49)(50, 53)(51, 52)(54, 55)(56, 59)(57, 62)(58, 60)(61,
63)(64, 67)(65, 70)(66, 69)(68, 71)(72, 74)(73, 75)(76, 77)(78, 79)(80, 82)(81,
84)(83, 87)(85, 86)(88, 92)(89, 94)(90, 91)(93, 95)(96, 100)(97, 103)(98,
102)(99, 101)(108, 109)(110, 111)(112, 113)(114, 115)(116, 119)(117, 118)(120,
123)(121, 122)(124, 126)(125, 127)(128, 130)(129, 131)(132, 135)(133, 138)(134,
137)(136, 139)(141, 142)(145, 146)(147, 148)(149, 150)(151, 152)(153, 154)(155,
156)(157, 159)(158, 164)(160, 162)(161, 163)(165, 170)(166, 171)(167, 168)(169,
172)(173, 177)(174, 179)(175, 180)(176, 178)(181, 183)(182, 187)(184, 188)(185,
186)(189, 190)(191, 192)
c: (1, 48, 113, 140, 114, 54)(2, 44, 168, 148, 19, 70)(3, 71, 18, 146, 172,
47)(4, 58, 36, 145, 176, 43)(5, 42, 175, 147, 37, 57)(6, 108, 111, 7, 52, 53)(8,
20, 179, 9, 45, 61)(10, 170, 39, 15, 67, 41)(11, 38, 66, 13, 40, 166)(12, 56,
46, 14, 173, 21)(16, 130, 117, 27, 123, 124)(17, 137, 184, 26, 187, 132)(22,
122, 136, 24, 129, 181)(23, 138, 116, 25, 185, 127)(28, 182, 135, 32, 134,
188)(29, 121, 183, 34, 131, 139)(30, 186, 119, 33, 133, 125)(31, 128, 118, 35,
120, 126)(49, 89, 104, 115, 103, 106)(50, 189, 99, 110, 190, 93)(51, 91, 191,
109, 98, 192)(55, 107, 96, 112, 105, 92)(59, 86, 156, 177, 87, 151)(60, 78, 160,
178, 75, 164)(62, 161, 72, 180, 157, 77)(63, 150, 82, 174, 154, 84)(64, 79, 152,
165, 73, 155)(65, 163, 81, 167, 159, 80)(68, 83, 162, 169, 85, 158)(69, 153, 74,
171, 149, 76)(88, 97, 143, 100, 94, 144)(90, 142, 101, 102, 141, 95)
d: (1, 6)(2, 8)(3, 10)(4, 14)(5, 13)(7, 140)(9, 148)(11, 147)(12, 145)(15,
146)(16, 29)(17, 30)(18, 43)(19, 40)(20, 37)(21, 41)(22, 31)(23, 28)(24, 35)(25,
32)(26, 33)(27, 34)(36, 47)(38, 44)(39, 46)(42, 45)(48, 52)(49, 109)(51,
115)(53, 111)(54, 113)(56, 71)(57, 168)(58, 67)(59, 169)(60, 165)(61, 166)(62,
65)(63, 69)(64, 178)(66, 179)(68, 177)(70, 175)(72, 84)(73, 87)(74, 80)(75,
85)(76, 81)(77, 82)(78, 83)(79, 86)(88, 95)(90, 102)(92, 99)(93, 96)(94,
97)(100, 101)(104, 192)(105, 189)(106, 191)(107, 190)(108, 114)(116, 181)(117,
132)(118, 188)(119, 139)(120, 138)(121, 187)(122, 134)(123, 186)(124, 184)(125,
183)(126, 135)(127, 136)(128, 185)(129, 182)(130, 133)(131, 137)(141, 143)(142,
144)(149, 161)(150, 159)(151, 160)(152, 158)(153, 157)(154, 163)(155, 162)(156,
164)(167, 180)(170, 176)(171, 174)(172, 173)
e: (1, 16, 143, 17)(2, 79, 153, 18)(3, 76, 155, 19)(4, 20, 156, 77)(5, 21, 154,
78)(6, 32, 141, 31)(7, 28, 142, 35)(8, 36, 157, 87)(9, 43, 161, 86)(10, 80, 162,
38)(11, 85, 159, 39)(12, 42, 160, 84)(13, 83, 163, 41)(14, 37, 164, 82)(15, 81,
158, 40)(22, 190, 25, 191)(23, 192, 24, 189)(26, 140, 27, 144)(29, 106, 30,
107)(33, 105, 34, 104)(44, 146, 74, 152)(45, 151, 72, 145)(46, 150, 75, 147)(47,
148, 73, 149)(48, 137, 100, 130)(49, 131, 96, 133)(50, 132, 98, 124)(51, 138,
99, 129)(52, 128, 101, 134)(53, 125, 102, 139)(54, 136, 97, 127)(55, 126, 103,
135)(56, 174, 178, 57)(58, 62, 177, 179)(59, 61, 176, 180)(60, 175, 173, 63)(64,
69, 71, 70)(65, 67, 66, 68)(88, 123, 114, 187)(89, 188, 112, 118)(90, 183, 111,
119)(91, 117, 110, 184)(92, 186, 115, 121)(93, 122, 109, 185)(94, 116, 113,
181)(95, 182, 108, 120)(165, 171, 172, 168)(166, 169, 167, 170)
f: (6, 7)(8, 9)(10, 15)(11, 13)(12, 14)(28, 32)(29, 34)(30, 33)(31, 35)(36,
43)(37, 42)(38, 40)(39, 41)(48, 51)(49, 52)(50, 54)(53, 55)(56, 60)(57, 63)(58,
59)(61, 62)(64, 71)(65, 66)(67, 68)(69, 70)(80, 81)(82, 84)(83, 85)(86, 87)(88,
93)(89, 90)(91, 94)(92, 95)(96, 101)(97, 98)(99, 100)(102, 103)(104, 106)(105,
107)(108, 115)(109, 114)(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, 163)(160, 164)(165, 172)(166, 167)(168,
171)(169, 170)(173, 178)(174, 175)(176, 177)(179, 180)(181, 184)(182, 186)(183,
188)(185, 187)
C4[ 192, 208 ]
192
-1 2 3 4 5
-2 1 181 192 184
-3 187 1 189 185
-4 1 190 182 186
-5 1 188 191 183
-6 13 14 8 10
-7 11 12 15 9
-8 124 104 6 116
-9 127 7 106 117
-10 121 6 105 128
-11 104 126 7 119
-12 122 105 7 130
-13 125 6 106 118
-14 123 6 107 129
-15 7 107 120 131
-16 79 20 21 76
-17 77 78 18 19
-18 110 23 113 17
-19 24 114 17 109
-20 25 16 115 108
-21 22 111 112 16
-22 44 77 73 21
-23 45 18 75 76
-24 46 79 72 19
-25 78 47 74 20
-26 44 47 72 75
-27 45 46 73 74
-28 81 85 42 43
-29 37 81 41 86
-30 82 83 40 43
-31 38 82 41 87
-32 36 80 37 83
-33 36 38 84 85
-34 80 39 42 87
-35 39 40 84 86
-36 33 113 50 32
-37 114 29 51 32
-38 33 115 52 31
-39 55 34 111 35
-40 35 49 30 108
-41 112 29 31 53
-42 34 48 28 109
-43 110 28 30 54
-44 22 26 48 51
-45 23 27 49 52
-46 55 24 27 53
-47 25 26 50 54
-48 44 58 71 42
-49 45 68 60 40
-50 36 47 69 63
-51 44 37 59 64
-52 45 56 67 38
-53 66 46 61 41
-54 57 47 70 43
-55 46 39 62 65
-56 92 136 117 52
-57 121 134 91 54
-58 135 48 93 119
-59 88 51 139 118
-60 132 49 116 95
-61 89 123 138 53
-62 55 122 90 137
-63 133 50 94 120
-64 100 124 136 51
-65 55 134 102 131
-66 133 103 128 53
-67 126 139 52 96
-68 101 135 125 49
-69 50 138 97 130
-70 137 129 54 98
-71 99 132 48 127
-72 24 101 26 96
-73 22 27 97 98
-74 99 100 25 27
-75 23 102 26 103
-76 88 23 16 93
-77 22 92 17 95
-78 89 90 25 17
-79 24 91 16 94
-80 34 101 92 32
-81 28 29 95 96
-82 88 99 30 31
-83 89 102 30 32
-84 33 100 35 93
-85 33 90 103 28
-86 35 91 29 97
-87 34 94 31 98
-88 165 59 82 76
-89 78 166 61 83
-90 78 167 62 85
-91 57 79 168 86
-92 77 56 80 170
-93 58 84 172 76
-94 79 171 63 87
-95 77 81 169 60
-96 67 81 72 173
-97 69 73 86 174
-98 70 73 87 175
-99 176 71 82 74
-100 177 84 74 64
-101 68 178 80 72
-102 180 83 75 65
-103 66 179 85 75
-104 11 160 8 162
-105 12 157 159 10
-106 13 158 9 164
-107 14 15 161 163
-108 170 40 173 20
-109 165 177 19 42
-110 171 18 174 43
-111 166 179 39 21
-112 167 180 41 21
-113 36 168 18 175
-114 176 37 172 19
-115 178 169 38 20
-116 60 172 8 153
-117 165 56 9 153
-118 154 13 59 170
-119 11 154 58 169
-120 166 156 15 63
-121 57 156 167 10
-122 12 155 168 62
-123 155 14 61 171
-124 149 8 173 64
-125 176 13 68 150
-126 11 67 177 150
-127 178 71 149 9
-128 66 151 174 10
-129 14 70 180 152
-130 12 69 179 152
-131 15 151 65 175
-132 157 60 71 148
-133 66 145 158 63
-134 57 145 162 65
-135 68 58 147 159
-136 56 148 161 64
-137 146 70 160 62
-138 69 146 61 164
-139 67 59 147 163
-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
-158 133 182 106 142
-159 135 105 183 142
-160 104 137 185 142
-161 136 107 184 142
-162 134 104 141 186
-163 188 139 107 141
-164 187 138 106 141
-165 88 181 117 109
-166 89 111 120 186
-167 121 90 112 182
-168 187 122 91 113
-169 188 115 95 119
-170 92 183 118 108
-171 110 123 94 185
-172 114 93 116 184
-173 124 181 96 108
-174 110 128 97 186
-175 113 182 98 131
-176 99 188 114 125
-177 100 126 183 109
-178 101 115 127 184
-179 111 103 130 185
-180 187 112 102 129
-181 165 2 157 173
-182 167 4 158 175
-183 177 5 159 170
-184 2 178 161 172
-185 3 179 160 171
-186 166 4 162 174
-187 3 168 180 164
-188 176 169 5 163
-189 145 3 150 153
-190 154 146 4 149
-191 156 5 148 152
-192 155 2 147 151
0