Graph forms
for C4 [ 144, 28 ] = AMC(9,8,[5.5:5.2])
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On this page are computer-accessible forms for the graph C4[ 144, 28 ] =
AMC(9,8,[5.5:5.2]).
(I) Following is a form readable by MAGMA:
g:=Graph<144|{ {48, 50}, {96, 98}, {32, 37}, {128, 133}, {80, 85}, {32, 42},
{128, 138}, {80, 90}, {48, 59}, {96, 107}, {16, 28}, {112, 124}, {64, 76}, {1,
17}, {111, 127}, {110, 126}, {109, 125}, {108, 124}, {107, 123}, {106, 122},
{105, 121}, {104, 120}, {103, 119}, {102, 118}, {101, 117}, {100, 116}, {99,
115}, {98, 114}, {97, 113}, {15, 31}, {14, 30}, {13, 29}, {12, 28}, {11, 27},
{10, 26}, {9, 25}, {8, 24}, {7, 23}, {6, 22}, {5, 21}, {4, 20}, {3, 19}, {2,
18}, {64, 80}, {37, 52}, {41, 56}, {45, 60}, {36, 54}, {78, 92}, {44, 62}, {40,
58}, {70, 84}, {74, 88}, {5, 17}, {111, 123}, {110, 122}, {109, 121}, {108,
120}, {103, 115}, {102, 114}, {101, 113}, {15, 27}, {14, 26}, {13, 25}, {12,
24}, {7, 19}, {6, 18}, {39, 50}, {47, 58}, {72, 93}, {33, 55}, {79, 89}, {77,
91}, {43, 61}, {41, 63}, {35, 53}, {69, 83}, {71, 81}, {38, 49}, {79, 88}, {46,
57}, {66, 91}, {78, 87}, {70, 95}, {74, 83}, {34, 56}, {76, 86}, {38, 60}, {46,
52}, {68, 94}, {72, 82}, {36, 63}, {77, 86}, {44, 55}, {40, 51}, {65, 90}, {69,
94}, {73, 82}, {1, 29}, {107, 119}, {106, 118}, {105, 117}, {104, 116}, {99,
127}, {98, 126}, {97, 125}, {11, 23}, {10, 22}, {9, 21}, {8, 20}, {3, 31}, {2,
30}, {35, 62}, {43, 54}, {68, 89}, {76, 81}, {37, 59}, {39, 57}, {45, 51}, {47,
49}, {65, 95}, {67, 93}, {73, 87}, {75, 85}, {34, 61}, {42, 53}, {67, 92}, {75,
84}, {81, 112}, {18, 48}, {66, 96}, {4, 32}, {23, 48}, {71, 96}, {90, 112}, {16,
32}, {85, 100}, {93, 108}, {89, 104}, {22, 36}, {92, 110}, {88, 106}, {84, 102},
{30, 44}, {26, 40}, {24, 45}, {95, 106}, {87, 98}, {21, 35}, {91, 109}, {89,
111}, {83, 101}, {81, 103}, {31, 41}, {29, 43}, {23, 33}, {31, 40}, {94, 105},
{86, 97}, {18, 43}, {30, 39}, {26, 35}, {22, 47}, {20, 46}, {94, 100}, {86,
108}, {82, 104}, {28, 38}, {24, 34}, {17, 42}, {92, 103}, {88, 99}, {84, 111},
{29, 38}, {25, 34}, {21, 46}, {20, 41}, {91, 102}, {83, 110}, {28, 33}, {17,
47}, {95, 97}, {93, 99}, {87, 105}, {85, 107}, {27, 37}, {25, 39}, {19, 45},
{19, 44}, {90, 101}, {82, 109}, {27, 36}, {33, 64}, {52, 80}, {42, 64}, {49,
65}, {50, 66}, {51, 67}, {52, 68}, {53, 69}, {54, 70}, {55, 71}, {56, 72}, {57,
73}, {58, 74}, {59, 75}, {60, 76}, {61, 77}, {62, 78}, {63, 79}, {53, 65}, {54,
66}, {55, 67}, {60, 72}, {61, 73}, {62, 74}, {63, 75}, {49, 77}, {50, 78}, {51,
79}, {56, 68}, {57, 69}, {58, 70}, {59, 71}, {4, 133}, {12, 141}, {8, 137}, {6,
132}, {14, 140}, {10, 136}, {2, 135}, {10, 143}, {5, 131}, {15, 137}, {13, 139},
{7, 129}, {1, 134}, {9, 142}, {4, 142}, {12, 134}, {8, 130}, {3, 136}, {15,
132}, {7, 140}, {6, 139}, {14, 131}, {1, 143}, {11, 133}, {9, 135}, {3, 141},
{5, 138}, {13, 130}, {16, 129}, {2, 144}, {16, 138}, {11, 144}, {114, 144},
{100, 128}, {119, 144}, {112, 128}, {118, 132}, {126, 140}, {122, 136}, {120,
141}, {117, 131}, {127, 137}, {125, 139}, {119, 129}, {127, 136}, {114, 139},
{126, 135}, {122, 131}, {118, 143}, {116, 142}, {124, 134}, {120, 130}, {113,
138}, {125, 134}, {121, 130}, {117, 142}, {116, 137}, {124, 129}, {113, 143},
{123, 133}, {121, 135}, {115, 141}, {115, 140}, {123, 132} }>;
(II) A more general form is to represent the graph as the orbit of {48, 50}
under the group generated by the following permutations:
a: (1, 17, 42, 64, 76, 86, 97, 113, 138, 16, 28, 38, 49, 65, 90, 112, 124,
134)(2, 31, 39, 63, 78, 89, 98, 127, 135, 15, 30, 41, 50, 79, 87, 111, 126,
137)(3, 25, 36, 62, 68, 96, 99, 121, 132, 14, 20, 48, 51, 73, 84, 110, 116,
144)(4, 23, 45, 61, 70, 83, 100, 119, 141, 13, 22, 35, 52, 71, 93, 109, 118,
131)(5, 32, 33, 60, 77, 95, 101, 128, 129, 12, 29, 47, 53, 80, 81, 108, 125,
143)(6, 26, 46, 59, 67, 82, 102, 122, 142, 11, 19, 34, 54, 74, 94, 107, 115,
130)(7, 24, 43, 58, 69, 85, 103, 120, 139, 10, 21, 37, 55, 72, 91, 106, 117,
133)(8, 18, 40, 57, 75, 92, 104, 114, 136, 9, 27, 44, 56, 66, 88, 105, 123,
140) (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, 4)(5, 13)(6, 16)(7, 15)(8, 14)(10, 12)(17, 29)(18, 32)(19, 31)(20,
30)(21, 25)(22, 28)(23, 27)(24, 26)(33, 36)(34, 35)(37, 48)(38, 47)(39, 46)(40,
45)(41, 44)(42, 43)(50, 52)(53, 61)(54, 64)(55, 63)(56, 62)(58, 60)(65, 77)(66,
80)(67, 79)(68, 78)(69, 73)(70, 76)(71, 75)(72, 74)(81, 84)(82, 83)(85, 96)(86,
95)(87, 94)(88, 93)(89, 92)(90, 91)(98, 100)(101, 109)(102, 112)(103, 111)(104,
110)(106, 108)(113, 125)(114, 128)(115, 127)(116, 126)(117, 121)(118, 124)(119,
123)(120, 122)(129, 132)(130, 131)(133, 144)(134, 143)(135, 142)(136, 141)(137,
140)(138, 139)
c: (1, 2)(3, 4)(5, 14)(6, 13)(7, 16)(8, 15)(9, 10)(11, 12)(17, 30)(18, 29)(19,
32)(20, 31)(21, 26)(22, 25)(23, 28)(24, 27)(34, 36)(37, 45)(38, 48)(39, 47)(40,
46)(42, 44)(49, 50)(51, 52)(53, 62)(54, 61)(55, 64)(56, 63)(57, 58)(59, 60)(65,
78)(66, 77)(67, 80)(68, 79)(69, 74)(70, 73)(71, 76)(72, 75)(82, 84)(85, 93)(86,
96)(87, 95)(88, 94)(90, 92)(97, 98)(99, 100)(101, 110)(102, 109)(103, 112)(104,
111)(105, 106)(107, 108)(113, 126)(114, 125)(115, 128)(116, 127)(117, 122)(118,
121)(119, 124)(120, 123)(130, 132)(133, 141)(134, 144)(135, 143)(136, 142)(138,
140)
d: (2, 7)(3, 9)(4, 15)(5, 10)(6, 16)(12, 13)(17, 143)(18, 129)(19, 135)(20,
137)(21, 136)(22, 138)(23, 144)(24, 130)(25, 141)(26, 131)(27, 133)(28, 139)(29,
134)(30, 140)(31, 142)(32, 132)(33, 114)(34, 120)(35, 122)(36, 128)(37, 123)(38,
125)(39, 115)(40, 117)(41, 116)(42, 118)(43, 124)(44, 126)(45, 121)(46, 127)(47,
113)(48, 119)(49, 97)(50, 103)(51, 105)(52, 111)(53, 106)(54, 112)(55, 98)(56,
104)(57, 99)(58, 101)(59, 107)(60, 109)(61, 108)(62, 110)(63, 100)(64, 102)(65,
95)(66, 81)(67, 87)(68, 89)(69, 88)(70, 90)(71, 96)(72, 82)(73, 93)(74, 83)(75,
85)(76, 91)(77, 86)(78, 92)(79, 94)(80, 84)
C4[ 144, 28 ]
144
-1 143 134 17 29
-2 144 135 18 30
-3 136 19 31 141
-4 133 20 32 142
-5 17 138 21 131
-6 22 132 18 139
-7 23 19 129 140
-8 24 137 20 130
-9 25 135 21 142
-10 22 143 26 136
-11 23 133 144 27
-12 24 134 28 141
-13 25 29 139 130
-14 26 30 140 131
-15 132 27 137 31
-16 28 138 129 32
-17 1 47 5 42
-18 2 48 6 43
-19 44 45 3 7
-20 46 4 8 41
-21 35 46 5 9
-22 36 47 6 10
-23 11 33 48 7
-24 12 34 45 8
-25 34 13 39 9
-26 35 14 40 10
-27 11 36 15 37
-28 33 12 16 38
-29 1 13 38 43
-30 44 2 14 39
-31 3 15 40 41
-32 4 37 16 42
-33 55 23 28 64
-34 56 24 25 61
-35 26 62 53 21
-36 22 27 63 54
-37 59 27 52 32
-38 49 60 28 29
-39 57 25 50 30
-40 58 26 51 31
-41 56 63 20 31
-42 17 53 64 32
-43 61 18 29 54
-44 55 62 19 30
-45 24 60 51 19
-46 57 52 20 21
-47 22 58 49 17
-48 23 59 50 18
-49 77 47 38 65
-50 66 78 48 39
-51 45 67 79 40
-52 46 68 80 37
-53 35 69 42 65
-54 66 36 70 43
-55 33 44 67 71
-56 34 68 72 41
-57 46 69 39 73
-58 47 70 40 74
-59 37 48 71 75
-60 45 38 72 76
-61 77 34 73 43
-62 44 78 35 74
-63 79 36 41 75
-64 33 80 42 76
-65 90 49 95 53
-66 91 50 96 54
-67 55 92 93 51
-68 56 89 94 52
-69 57 83 94 53
-70 58 84 95 54
-71 55 59 81 96
-72 56 60 82 93
-73 57 82 61 87
-74 88 58 83 62
-75 59 84 63 85
-76 81 60 64 86
-77 91 49 61 86
-78 92 50 62 87
-79 88 89 51 63
-80 90 52 85 64
-81 112 103 71 76
-82 104 72 73 109
-83 110 101 69 74
-84 111 102 70 75
-85 100 80 107 75
-86 77 97 108 76
-87 78 105 73 98
-88 99 79 106 74
-89 111 68 79 104
-90 101 112 80 65
-91 66 77 102 109
-92 110 67 78 103
-93 99 67 72 108
-94 100 68 69 105
-95 70 106 97 65
-96 66 71 107 98
-97 113 125 95 86
-98 114 126 96 87
-99 88 93 115 127
-100 94 116 128 85
-101 90 113 83 117
-102 91 114 84 118
-103 81 92 115 119
-104 89 82 116 120
-105 121 94 117 87
-106 88 122 95 118
-107 123 85 96 119
-108 124 93 86 120
-109 121 91 125 82
-110 122 92 126 83
-111 89 123 127 84
-112 90 124 81 128
-113 143 101 138 97
-114 144 102 139 98
-115 99 103 140 141
-116 100 104 137 142
-117 101 105 131 142
-118 132 143 102 106
-119 144 103 107 129
-120 104 108 130 141
-121 135 105 130 109
-122 110 136 106 131
-123 132 111 133 107
-124 112 134 129 108
-125 134 139 97 109
-126 110 135 140 98
-127 99 111 136 137
-128 100 133 112 138
-129 124 16 7 119
-130 121 13 8 120
-131 122 14 5 117
-132 123 15 6 118
-133 11 123 4 128
-134 1 12 124 125
-135 121 2 126 9
-136 122 3 127 10
-137 15 116 127 8
-138 113 5 16 128
-139 13 114 125 6
-140 14 115 126 7
-141 12 3 115 120
-142 4 116 117 9
-143 1 113 118 10
-144 11 2 114 119
0