Graph forms
for C4 [ 196, 5 ] = AMC(4,7,[1.5:6.3])
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On this page are computer-accessible forms for the graph C4[ 196, 5 ] =
AMC(4,7,[1.5:6.3]).
(I) Following is a form readable by MAGMA:
g:=Graph<196|{ {96, 101}, {98, 103}, {48, 55}, {97, 102}, {49, 56}, {128, 148},
{139, 159}, {138, 158}, {137, 157}, {136, 156}, {131, 151}, {130, 150}, {129,
149}, {43, 50}, {45, 52}, {47, 54}, {46, 53}, {132, 152}, {135, 155}, {133,
153}, {128, 157}, {130, 159}, {133, 155}, {44, 51}, {129, 158}, {131, 160},
{143, 172}, {139, 168}, {135, 164}, {90, 127}, {142, 171}, {141, 168}, {134,
163}, {132, 161}, {134, 161}, {141, 170}, {16, 58}, {21, 63}, {20, 62}, {17,
59}, {83, 120}, {64, 108}, {143, 163}, {142, 162}, {140, 160}, {82, 126}, {65,
109}, {66, 110}, {67, 111}, {80, 124}, {81, 125}, {70, 107}, {138, 167}, {136,
165}, {84, 121}, {18, 60}, {140, 162}, {19, 61}, {69, 106}, {137, 166}, {68,
112}, {147, 167}, {146, 166}, {145, 165}, {144, 164}, {93, 105}, {92, 104}, {71,
115}, {78, 122}, {79, 123}, {14, 56}, {15, 57}, {73, 127}, {1, 57}, {7, 63}, {6,
62}, {5, 61}, {4, 60}, {3, 59}, {2, 58}, {8, 50}, {147, 169}, {13, 55}, {12,
54}, {9, 51}, {66, 120}, {67, 121}, {70, 124}, {95, 100}, {72, 116}, {73, 117},
{74, 118}, {75, 119}, {64, 125}, {146, 175}, {144, 173}, {94, 99}, {76, 113},
{10, 52}, {11, 53}, {68, 122}, {69, 123}, {65, 126}, {145, 174}, {77, 114}, {51,
112}, {8, 64}, {31, 87}, {30, 86}, {29, 85}, {28, 84}, {27, 83}, {26, 82}, {25,
81}, {24, 80}, {15, 71}, {14, 70}, {13, 69}, {12, 68}, {11, 67}, {10, 66}, {9,
65}, {40, 96}, {41, 97}, {42, 98}, {59, 113}, {62, 116}, {63, 117}, {58, 119},
{60, 114}, {61, 115}, {57, 118}, {60, 104}, {61, 105}, {22, 64}, {31, 73}, {30,
72}, {23, 65}, {56, 110}, {16, 72}, {23, 79}, {22, 78}, {21, 77}, {20, 76}, {19,
75}, {18, 74}, {17, 73}, {24, 66}, {29, 71}, {28, 70}, {25, 67}, {54, 108}, {55,
109}, {4, 95}, {63, 100}, {57, 101}, {58, 102}, {59, 103}, {1, 92}, {3, 94},
{50, 111}, {62, 99}, {26, 68}, {27, 69}, {52, 106}, {53, 107}, {2, 93}, {5, 96},
{7, 98}, {6, 97}, {32, 74}, {37, 79}, {36, 78}, {33, 75}, {48, 90}, {49, 91},
{34, 76}, {35, 77}, {38, 80}, {39, 81}, {46, 88}, {47, 89}, {32, 88}, {38, 94},
{37, 93}, {36, 92}, {35, 91}, {34, 90}, {33, 89}, {39, 95}, {40, 82}, {41, 83},
{44, 86}, {45, 87}, {42, 84}, {43, 85}, {36, 167}, {44, 175}, {28, 152}, {38,
162}, {31, 155}, {39, 163}, {45, 169}, {46, 170}, {47, 171}, {43, 174}, {31,
152}, {39, 160}, {47, 168}, {30, 151}, {40, 161}, {44, 165}, {46, 167}, {29,
150}, {45, 166}, {24, 148}, {27, 151}, {26, 150}, {25, 149}, {40, 164}, {41,
165}, {42, 166}, {23, 154}, {37, 168}, {22, 153}, {43, 164}, {48, 162}, {49,
163}, {48, 172}, {49, 173}, {20, 183}, {28, 191}, {51, 144}, {27, 190}, {52,
145}, {54, 147}, {53, 146}, {1, 171}, {17, 187}, {16, 186}, {5, 175}, {4, 174},
{7, 170}, {21, 184}, {18, 191}, {2, 172}, {19, 189}, {18, 188}, {3, 173}, {6,
169}, {17, 190}, {41, 155}, {118, 196}, {115, 193}, {114, 192}, {3, 176}, {11,
184}, {7, 180}, {1, 181}, {9, 189}, {8, 188}, {2, 182}, {4, 177}, {14, 187},
{12, 185}, {6, 179}, {15, 185}, {117, 195}, {116, 194}, {35, 149}, {34, 148},
{42, 156}, {56, 142}, {5, 178}, {13, 186}, {32, 153}, {38, 159}, {36, 157}, {8,
178}, {12, 182}, {9, 179}, {55, 141}, {33, 154}, {123, 192}, {37, 158}, {32,
156}, {120, 196}, {35, 159}, {34, 158}, {33, 157}, {10, 183}, {126, 195}, {124,
193}, {29, 160}, {13, 176}, {50, 143}, {10, 180}, {11, 181}, {14, 177}, {125,
194}, {30, 161}, {71, 132}, {79, 140}, {78, 139}, {122, 191}, {114, 183}, {112,
181}, {104, 173}, {86, 147}, {85, 146}, {121, 190}, {112, 183}, {105, 174},
{119, 190}, {74, 128}, {91, 145}, {90, 144}, {75, 129}, {103, 172}, {119, 188},
{115, 184}, {15, 195}, {113, 189}, {99, 175}, {72, 133}, {118, 187}, {116, 185},
{102, 171}, {100, 169}, {76, 130}, {113, 191}, {77, 131}, {101, 170}, {117,
186}, {99, 177}, {111, 189}, {110, 188}, {107, 185}, {106, 184}, {103, 181},
{102, 180}, {19, 192}, {16, 196}, {95, 139}, {94, 138}, {93, 137}, {92, 136},
{87, 131}, {86, 130}, {85, 129}, {20, 193}, {22, 192}, {109, 187}, {108, 186},
{101, 179}, {100, 178}, {89, 143}, {88, 142}, {23, 193}, {80, 134}, {81, 135},
{21, 194}, {105, 176}, {24, 194}, {87, 141}, {83, 137}, {82, 136}, {25, 195},
{91, 128}, {111, 180}, {107, 176}, {88, 132}, {106, 182}, {89, 133}, {108, 177},
{110, 179}, {26, 196}, {104, 182}, {84, 138}, {109, 178}, {123, 152}, {127,
156}, {98, 135}, {127, 154}, {124, 153}, {97, 134}, {125, 154}, {126, 148}, {96,
140}, {120, 149}, {122, 151}, {121, 150} }>;
(II) A more general form is to represent the graph as the orbit of {96, 101}
under the group generated by the following permutations:
a: (1, 50)(2, 58)(3, 66)(4, 74)(5, 82)(6, 90)(7, 98)(8, 92)(9, 51)(10, 59)(11,
67)(12, 75)(13, 83)(14, 91)(15, 85)(16, 93)(17, 52)(18, 60)(19, 68)(20, 76)(21,
84)(22, 78)(23, 86)(24, 94)(25, 53)(26, 61)(27, 69)(28, 77)(29, 71)(30, 79)(31,
87)(32, 95)(33, 54)(34, 62)(35, 70)(36, 64)(37, 72)(38, 80)(39, 88)(40, 96)(41,
55)(42, 63)(43, 57)(44, 65)(45, 73)(46, 81)(47, 89)(48, 97)(49, 56)(99,
148)(100, 156)(101, 164)(102, 172)(103, 180)(104, 188)(105, 196)(106, 190)(107,
149)(108, 157)(109, 165)(110, 173)(111, 181)(112, 189)(113, 183)(114, 191)(115,
150)(116, 158)(117, 166)(118, 174)(119, 182)(120, 176)(121, 184)(122, 192)(123,
151)(124, 159)(125, 167)(126, 175)(127, 169)(128, 177)(129, 185)(130, 193)(131,
152)(132, 160)(133, 168)(134, 162)(135, 170)(136, 178)(137, 186)(138, 194)(139,
153)(140, 161)(141, 155)(142, 163)(143, 171)(144, 179)(145, 187)(146, 195)(147,
154) (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, 7)(3, 6)(4, 5)(8, 43)(9, 49)(10, 48)(11, 47)(12, 46)(13, 45)(14, 44)(15,
36)(16, 42)(17, 41)(18, 40)(19, 39)(20, 38)(21, 37)(22, 29)(23, 35)(24, 34)(25,
33)(26, 32)(27, 31)(28, 30)(51, 56)(52, 55)(53, 54)(57, 92)(58, 98)(59, 97)(60,
96)(61, 95)(62, 94)(63, 93)(64, 85)(65, 91)(66, 90)(67, 89)(68, 88)(69, 87)(70,
86)(71, 78)(72, 84)(73, 83)(74, 82)(75, 81)(76, 80)(77, 79)(100, 105)(101,
104)(102, 103)(106, 141)(107, 147)(108, 146)(109, 145)(110, 144)(111, 143)(112,
142)(113, 134)(114, 140)(115, 139)(116, 138)(117, 137)(118, 136)(119, 135)(120,
127)(121, 133)(122, 132)(123, 131)(124, 130)(125, 129)(126, 128)(149, 154)(150,
153)(151, 152)(155, 190)(156, 196)(157, 195)(158, 194)(159, 193)(160, 192)(161,
191)(162, 183)(163, 189)(164, 188)(165, 187)(166, 186)(167, 185)(168, 184)(169,
176)(170, 182)(171, 181)(172, 180)(173, 179)(174, 178)(175, 177)
c: (2, 26)(3, 44)(4, 20)(5, 38)(6, 14)(7, 32)(8, 24)(9, 49)(10, 18)(11, 36)(13,
30)(15, 47)(17, 41)(19, 35)(21, 22)(23, 39)(25, 33)(28, 45)(29, 37)(34, 43)(40,
48)(50, 148)(51, 173)(52, 191)(53, 167)(54, 185)(55, 161)(56, 179)(57, 171)(58,
196)(59, 165)(60, 183)(61, 159)(62, 177)(63, 153)(64, 194)(65, 163)(66, 188)(67,
157)(68, 182)(69, 151)(70, 169)(71, 168)(72, 186)(73, 155)(74, 180)(75, 149)(76,
174)(77, 192)(78, 184)(79, 160)(80, 178)(81, 154)(82, 172)(83, 190)(84, 166)(85,
158)(86, 176)(87, 152)(88, 170)(89, 195)(90, 164)(91, 189)(92, 181)(93, 150)(94,
175)(95, 193)(96, 162)(97, 187)(98, 156)(100, 124)(101, 142)(102, 118)(103,
136)(104, 112)(105, 130)(106, 122)(107, 147)(108, 116)(109, 134)(111, 128)(113,
145)(115, 139)(117, 133)(119, 120)(121, 137)(123, 131)(126, 143)(127, 135)(132,
141)(138, 146)
d: (1, 2, 3, 4, 5, 6, 7)(8, 9, 10, 11, 12, 13, 14)(15, 16, 17, 18, 19, 20,
21)(22, 23, 24, 25, 26, 27, 28)(29, 30, 31, 32, 33, 34, 35)(36, 37, 38, 39, 40,
41, 42)(43, 44, 45, 46, 47, 48, 49)(50, 51, 52, 53, 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)(120, 121, 122, 123, 124, 125, 126)(127, 128, 129, 130, 131, 132,
133)(134, 135, 136, 137, 138, 139, 140)(141, 142, 143, 144, 145, 146, 147)(148,
149, 150, 151, 152, 153, 154)(155, 156, 157, 158, 159, 160, 161)(162, 163, 164,
165, 166, 167, 168)(169, 170, 171, 172, 173, 174, 175)(176, 177, 178, 179, 180,
181, 182)(183, 184, 185, 186, 187, 188, 189)(190, 191, 192, 193, 194, 195,
196)
C4[ 196, 5 ]
196
-1 57 92 181 171
-2 58 93 182 172
-3 176 59 94 173
-4 177 60 95 174
-5 178 61 96 175
-6 179 169 62 97
-7 180 170 63 98
-8 188 178 50 64
-9 189 179 51 65
-10 66 180 183 52
-11 67 181 184 53
-12 68 182 185 54
-13 55 176 69 186
-14 187 56 177 70
-15 57 71 195 185
-16 58 72 196 186
-17 187 190 59 73
-18 188 191 60 74
-19 189 192 61 75
-20 193 62 183 76
-21 77 194 63 184
-22 78 192 64 153
-23 154 79 193 65
-24 66 80 148 194
-25 67 81 149 195
-26 68 82 150 196
-27 69 190 83 151
-28 70 191 84 152
-29 71 160 150 85
-30 72 161 151 86
-31 155 73 152 87
-32 88 156 74 153
-33 154 89 157 75
-34 90 158 148 76
-35 77 91 159 149
-36 78 167 157 92
-37 79 168 158 93
-38 80 159 94 162
-39 81 160 95 163
-40 82 161 96 164
-41 165 155 83 97
-42 166 156 84 98
-43 50 85 174 164
-44 165 51 86 175
-45 166 169 52 87
-46 88 167 170 53
-47 89 168 171 54
-48 55 90 172 162
-49 56 91 173 163
-50 143 111 8 43
-51 44 144 112 9
-52 45 145 106 10
-53 11 46 146 107
-54 12 47 147 108
-55 13 48 141 109
-56 110 14 49 142
-57 1 101 15 118
-58 2 102 16 119
-59 3 113 103 17
-60 4 114 104 18
-61 5 115 105 19
-62 99 6 116 20
-63 100 7 117 21
-64 22 125 8 108
-65 23 126 9 109
-66 110 24 10 120
-67 11 121 111 25
-68 12 122 112 26
-69 13 123 27 106
-70 14 124 28 107
-71 132 15 115 29
-72 133 16 116 30
-73 17 127 117 31
-74 18 128 118 32
-75 33 19 129 119
-76 34 113 20 130
-77 35 114 21 131
-78 22 122 36 139
-79 23 123 37 140
-80 24 134 124 38
-81 25 135 125 39
-82 26 136 126 40
-83 27 137 41 120
-84 121 28 138 42
-85 146 29 129 43
-86 44 147 30 130
-87 45 31 141 131
-88 132 46 32 142
-89 33 143 133 47
-90 34 144 48 127
-91 35 145 49 128
-92 1 36 136 104
-93 2 37 137 105
-94 99 3 38 138
-95 100 4 39 139
-96 101 5 40 140
-97 134 102 6 41
-98 135 103 7 42
-99 177 94 62 175
-100 178 169 95 63
-101 57 179 170 96
-102 58 180 171 97
-103 59 181 172 98
-104 92 60 182 173
-105 176 93 61 174
-106 69 182 52 184
-107 176 70 53 185
-108 177 64 54 186
-109 55 187 178 65
-110 66 56 188 179
-111 67 189 180 50
-112 68 181 51 183
-113 189 59 191 76
-114 77 60 192 183
-115 71 61 193 184
-116 72 62 194 185
-117 73 63 195 186
-118 187 57 74 196
-119 188 58 190 75
-120 66 83 149 196
-121 67 190 84 150
-122 78 68 191 151
-123 79 69 192 152
-124 80 70 193 153
-125 154 81 194 64
-126 82 148 195 65
-127 154 90 156 73
-128 91 157 148 74
-129 158 149 85 75
-130 159 150 86 76
-131 77 160 151 87
-132 88 71 161 152
-133 89 155 72 153
-134 80 161 97 163
-135 155 81 98 164
-136 165 156 92 82
-137 166 157 93 83
-138 167 158 94 84
-139 78 168 159 95
-140 79 160 96 162
-141 55 168 170 87
-142 88 56 171 162
-143 89 50 172 163
-144 90 51 173 164
-145 165 91 52 174
-146 166 85 53 175
-147 167 169 86 54
-148 34 24 126 128
-149 35 25 129 120
-150 121 26 29 130
-151 122 27 30 131
-152 132 123 28 31
-153 22 133 124 32
-154 33 23 125 127
-155 133 135 41 31
-156 136 127 42 32
-157 33 36 137 128
-158 34 37 138 129
-159 35 38 139 130
-160 39 29 140 131
-161 132 134 40 30
-162 48 38 140 142
-163 143 134 49 39
-164 144 135 40 43
-165 44 145 136 41
-166 45 146 137 42
-167 46 36 147 138
-168 47 37 139 141
-169 45 100 147 6
-170 46 101 7 141
-171 1 47 102 142
-172 143 2 48 103
-173 144 3 49 104
-174 145 4 105 43
-175 44 99 146 5
-176 13 3 105 107
-177 99 14 4 108
-178 100 5 8 109
-179 110 101 6 9
-180 111 102 7 10
-181 11 1 112 103
-182 12 2 104 106
-183 112 114 20 10
-184 11 115 106 21
-185 12 15 116 107
-186 13 16 117 108
-187 14 17 118 109
-188 110 18 8 119
-189 111 113 19 9
-190 121 27 17 119
-191 122 113 28 18
-192 22 123 114 19
-193 23 124 115 20
-194 24 125 116 21
-195 25 15 126 117
-196 26 16 118 120
0