Graph forms
for C4 [ 165, 11 ] = UG(Rmap(330,62){6,4|10}_10)
[Home] [Table] [Glossary]
[Families]
On this page are computer-accessible forms for the graph C4[ 165, 11 ] =
UG(Rmap(330,62){6,4|10}_10).
(I) Following is a form readable by MAGMA:
g:=Graph<165|{ {96, 97}, {146, 147}, {142, 143}, {122, 123}, {118, 119}, {1, 3},
{109, 111}, {1, 2}, {97, 98}, {1, 5}, {49, 53}, {2, 7}, {146, 151}, {3, 6}, {2,
4}, {152, 158}, {8, 14}, {10, 13}, {3, 11}, {1, 8}, {17, 24}, {7, 13}, {129,
139}, {37, 47}, {19, 25}, {17, 27}, {16, 26}, {86, 92}, {97, 107}, {4, 15}, {67,
72}, {116, 120}, {4, 9}, {2, 12}, {148, 154}, {115, 125}, {32, 46}, {20, 26},
{5, 10}, {6, 9}, {87, 88}, {12, 28}, {70, 86}, {101, 117}, {7, 22}, {134, 151},
{41, 56}, {69, 84}, {3, 17}, {45, 63}, {33, 51}, {32, 50}, {4, 23}, {139, 152},
{133, 150}, {6, 21}, {70, 85}, {106, 121}, {9, 29}, {11, 31}, {10, 30}, {5, 16},
{15, 25}, {40, 62}, {39, 49}, {38, 48}, {34, 52}, {103, 113}, {68, 83}, {78,
86}, {110, 118}, {11, 18}, {43, 49}, {133, 159}, {129, 155}, {107, 113}, {8,
20}, {137, 149}, {134, 154}, {14, 18}, {5, 24}, {141, 144}, {138, 148}, {12,
19}, {135, 152}, {128, 159}, {36, 59}, {99, 124}, {66, 98}, {132, 164}, {9, 40},
{23, 53}, {74, 104}, {75, 105}, {79, 108}, {94, 125}, {13, 41}, {15, 43}, {14,
42}, {11, 46}, {90, 127}, {91, 126}, {6, 32}, {7, 33}, {76, 106}, {77, 107},
{10, 45}, {131, 164}, {130, 165}, {95, 120}, {69, 108}, {8, 34}, {143, 165},
{22, 60}, {19, 57}, {18, 56}, {68, 110}, {79, 100}, {94, 117}, {85, 121}, {141,
161}, {140, 161}, {12, 34}, {31, 49}, {30, 48}, {24, 54}, {21, 59}, {20, 58},
{73, 103}, {16, 63}, {73, 102}, {66, 114}, {147, 163}, {87, 103}, {88, 104},
{89, 105}, {15, 62}, {22, 36}, {29, 47}, {23, 37}, {14, 61}, {147, 160}, {150,
162}, {77, 120}, {17, 39}, {23, 33}, {21, 35}, {78, 121}, {149, 162}, {27, 35},
{28, 36}, {78, 119}, {13, 55}, {155, 160}, {16, 44}, {157, 161}, {80, 109},
{153, 164}, {82, 111}, {24, 38}, {81, 110}, {159, 160}, {95, 96}, {26, 90}, {25,
91}, {53, 119}, {59, 120}, {20, 80}, {48, 116}, {22, 82}, {21, 81}, {51, 118},
{60, 121}, {56, 125}, {39, 96}, {50, 117}, {43, 97}, {57, 115}, {29, 81}, {41,
101}, {61, 112}, {63, 114}, {44, 98}, {58, 116}, {62, 113}, {26, 75}, {31, 78},
{28, 77}, {25, 74}, {44, 127}, {35, 112}, {30, 74}, {43, 126}, {29, 75}, {27,
76}, {42, 125}, {18, 73}, {39, 124}, {19, 79}, {54, 106}, {47, 115}, {38, 123},
{37, 122}, {52, 107}, {36, 71}, {34, 70}, {55, 83}, {55, 82}, {62, 88}, {63,
89}, {32, 71}, {40, 64}, {42, 66}, {41, 65}, {33, 72}, {45, 68}, {61, 87}, {46,
69}, {56, 84}, {58, 86}, {57, 85}, {61, 80}, {44, 67}, {40, 90}, {51, 65}, {50,
64}, {46, 92}, {54, 67}, {45, 91}, {52, 66}, {42, 93}, {27, 99}, {28, 100}, {31,
102}, {38, 95}, {30, 101}, {37, 94}, {35, 93}, {55, 73}, {60, 67}, {50, 146},
{53, 148}, {54, 149}, {47, 137}, {52, 147}, {57, 145}, {58, 144}, {60, 143},
{51, 133}, {59, 131}, {48, 138}, {76, 140}, {77, 141}, {103, 163}, {92, 153},
{79, 137}, {71, 143}, {84, 156}, {84, 158}, {69, 142}, {64, 140}, {65, 141},
{72, 132}, {93, 145}, {104, 165}, {108, 162}, {71, 151}, {113, 161}, {89, 136},
{119, 165}, {83, 135}, {81, 135}, {88, 142}, {95, 135}, {123, 163}, {82, 139},
{80, 138}, {126, 164}, {94, 132}, {64, 155}, {68, 159}, {74, 145}, {75, 144},
{90, 129}, {91, 128}, {92, 128}, {65, 156}, {76, 145}, {72, 150}, {85, 139},
{89, 134}, {93, 130}, {105, 137}, {124, 156}, {127, 158}, {100, 134}, {104,
138}, {114, 151}, {70, 160}, {124, 154}, {118, 144}, {112, 150}, {98, 132}, {99,
133}, {111, 136}, {122, 146}, {101, 140}, {115, 152}, {108, 128}, {117, 153},
{109, 129}, {110, 130}, {111, 131}, {116, 153}, {102, 136}, {123, 149}, {122,
148}, {83, 163}, {114, 130}, {127, 142}, {112, 131}, {105, 157}, {87, 162},
{126, 136}, {106, 157}, {109, 154}, {99, 155}, {100, 156}, {102, 157}, {96, 158}
}>;
(II) A more general form is to represent the graph as the orbit of {96, 97}
under the group generated by the following permutations:
a: (2, 3)(4, 6)(5, 8)(7, 11)(10, 14)(12, 17)(13, 18)(15, 21)(16, 20)(19, 27)(22,
31)(23, 32)(24, 34)(25, 35)(28, 39)(29, 40)(30, 42)(33, 46)(36, 49)(37, 50)(38,
52)(41, 56)(43, 59)(44, 58)(45, 61)(47, 64)(48, 66)(51, 69)(53, 71)(54, 70)(55,
73)(57, 76)(60, 78)(62, 81)(63, 80)(65, 84)(67, 86)(68, 87)(72, 92)(74, 93)(75,
90)(77, 96)(79, 99)(82, 102)(83, 103)(85, 106)(88, 110)(89, 109)(91, 112)(94,
117)(95, 107)(97, 120)(98, 116)(100, 124)(101, 125)(104, 130)(105, 129)(108,
133)(111, 136)(113, 135)(114, 138)(115, 140)(118, 142)(119, 143)(122, 146)(123,
147)(126, 131)(127, 144)(128, 150)(132, 153)(134, 154)(137, 155)(139, 157)(141,
158)(148, 151)(149, 160)(152, 161)(159, 162) (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, 2)(3, 4)(5, 7)(6, 9)(8, 12)(10, 13)(11, 15)(14, 19)(16, 22)(17, 23)(18,
25)(20, 28)(21, 29)(24, 33)(26, 36)(27, 37)(30, 41)(31, 43)(32, 40)(35, 47)(38,
51)(39, 53)(42, 57)(44, 60)(45, 55)(46, 62)(48, 65)(50, 64)(52, 70)(54, 72)(56,
74)(58, 77)(59, 75)(61, 79)(63, 82)(66, 85)(68, 83)(69, 88)(71, 90)(73, 91)(76,
94)(78, 97)(80, 100)(84, 104)(86, 107)(87, 108)(89, 111)(92, 113)(93, 115)(95,
118)(96, 119)(98, 121)(99, 122)(102, 126)(103, 128)(105, 131)(106, 132)(109,
134)(110, 135)(112, 137)(114, 139)(116, 141)(117, 140)(120, 144)(123, 133)(124,
148)(125, 145)(127, 143)(129, 151)(130, 152)(138, 156)(146, 155)(147, 160)(149,
150)(153, 161)(157, 164)(158, 165)(159, 163)
c: (3, 5)(4, 7)(6, 10)(9, 13)(11, 16)(14, 20)(15, 22)(17, 24)(18, 26)(19,
28)(21, 30)(23, 33)(25, 36)(27, 38)(29, 41)(31, 44)(32, 45)(35, 48)(37, 51)(39,
54)(40, 55)(42, 58)(43, 60)(46, 63)(47, 65)(49, 67)(50, 68)(52, 70)(53, 72)(56,
75)(57, 77)(59, 74)(61, 80)(62, 82)(64, 83)(66, 86)(69, 89)(71, 91)(73, 90)(76,
95)(78, 98)(79, 100)(81, 101)(84, 105)(85, 107)(87, 109)(88, 111)(92, 114)(93,
116)(94, 118)(96, 106)(97, 121)(99, 123)(102, 127)(103, 129)(104, 131)(108,
134)(110, 117)(112, 138)(113, 139)(115, 141)(119, 132)(120, 145)(122, 133)(124,
149)(125, 144)(126, 143)(128, 151)(130, 153)(135, 140)(136, 142)(137, 156)(146,
159)(147, 160)(148, 150)(152, 161)(154, 162)(155, 163)(157, 158)(164, 165)
C4[ 165, 11 ]
165
-1 2 3 5 8
-2 1 12 4 7
-3 11 1 6 17
-4 23 2 15 9
-5 1 24 16 10
-6 3 9 21 32
-7 22 33 2 13
-8 1 34 14 20
-9 4 6 29 40
-10 45 13 5 30
-11 46 3 18 31
-12 34 2 28 19
-13 55 7 41 10
-14 61 18 8 42
-15 25 4 62 43
-16 44 26 5 63
-17 24 3 27 39
-18 11 56 14 73
-19 12 57 79 25
-20 58 80 26 8
-21 35 59 81 6
-22 36 60 82 7
-23 33 4 37 53
-24 5 38 17 54
-25 91 15 19 74
-26 90 16 20 75
-27 99 35 17 76
-28 77 12 100 36
-29 47 81 9 75
-30 101 48 74 10
-31 11 78 102 49
-32 46 71 6 50
-33 23 72 7 51
-34 12 70 8 52
-35 112 27 93 21
-36 22 59 71 28
-37 23 122 47 94
-38 24 123 48 95
-39 124 49 17 96
-40 90 62 9 64
-41 56 13 101 65
-42 66 14 125 93
-43 15 49 126 97
-44 67 16 127 98
-45 68 91 63 10
-46 11 69 92 32
-47 37 115 137 29
-48 38 116 138 30
-49 39 31 53 43
-50 146 117 64 32
-51 33 133 118 65
-52 66 34 147 107
-53 23 49 148 119
-54 67 24 149 106
-55 13 82 83 73
-56 125 18 84 41
-57 145 115 19 85
-58 144 116 20 86
-59 36 21 120 131
-60 22 121 143 67
-61 112 14 80 87
-62 88 113 15 40
-63 45 89 114 16
-64 155 50 40 140
-65 156 51 41 141
-66 114 52 42 98
-67 44 60 72 54
-68 110 45 159 83
-69 46 84 108 142
-70 34 160 85 86
-71 143 36 151 32
-72 33 132 67 150
-73 55 102 103 18
-74 145 25 104 30
-75 144 26 105 29
-76 145 27 106 140
-77 28 107 141 120
-78 121 31 86 119
-79 100 137 19 108
-80 61 138 20 109
-81 110 135 29 21
-82 22 55 111 139
-83 55 68 135 163
-84 56 156 69 158
-85 121 57 70 139
-86 78 58 70 92
-87 88 103 61 162
-88 104 62 87 142
-89 134 136 105 63
-90 26 127 40 129
-91 45 25 126 128
-92 46 128 86 153
-93 35 145 42 130
-94 132 37 125 117
-95 135 38 96 120
-96 158 39 95 97
-97 96 107 43 98
-98 44 66 132 97
-99 133 155 124 27
-100 79 134 156 28
-101 117 30 41 140
-102 157 136 73 31
-103 113 73 163 87
-104 88 165 138 74
-105 89 157 137 75
-106 121 157 54 76
-107 77 113 52 97
-108 79 69 128 162
-109 154 111 80 129
-110 68 81 118 130
-111 136 82 109 131
-112 35 61 150 131
-113 103 62 161 107
-114 66 63 151 130
-115 57 47 125 152
-116 58 48 120 153
-117 101 50 94 153
-118 110 144 51 119
-119 165 78 118 53
-120 77 59 116 95
-121 78 60 106 85
-122 123 146 37 148
-123 122 38 149 163
-124 99 154 156 39
-125 56 115 94 42
-126 91 136 43 164
-127 44 90 158 142
-128 91 92 159 108
-129 155 90 139 109
-130 110 165 114 93
-131 111 112 59 164
-132 72 94 98 164
-133 99 159 51 150
-134 154 89 100 151
-135 81 83 95 152
-136 89 111 102 126
-137 79 47 105 149
-138 80 48 104 148
-139 82 85 129 152
-140 101 161 64 76
-141 77 144 161 65
-142 88 143 69 127
-143 165 60 71 142
-144 58 118 75 141
-145 57 93 74 76
-146 122 147 50 151
-147 146 160 52 163
-148 154 122 138 53
-149 123 137 162 54
-150 133 112 72 162
-151 134 146 114 71
-152 135 158 115 139
-153 92 116 117 164
-154 134 124 148 109
-155 99 160 129 64
-156 100 124 84 65
-157 102 105 106 161
-158 127 84 96 152
-159 133 68 160 128
-160 155 70 147 159
-161 113 157 140 141
-162 149 150 108 87
-163 123 103 147 83
-164 132 126 131 153
-165 143 104 119 130
0