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On this page are computer-accessible forms for the graph C4[ 148, 2 ] =
{4,4}_12,2.
(I) Following is a form readable by MAGMA:
g:=Graph<148|{ {2, 3}, {146, 147}, {144, 145}, {142, 143}, {140, 141}, {138,
139}, {136, 137}, {134, 135}, {132, 133}, {130, 131}, {128, 129}, {126, 127},
{124, 125}, {122, 123}, {120, 121}, {118, 119}, {116, 117}, {50, 51}, {48, 49},
{46, 47}, {44, 45}, {42, 43}, {40, 41}, {38, 39}, {36, 37}, {34, 35}, {32, 33},
{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}, {52, 53}, {54, 55}, {56,
57}, {58, 59}, {60, 61}, {62, 63}, {64, 65}, {66, 67}, {68, 69}, {70, 71}, {72,
73}, {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}, {1, 2}, {145, 146},
{141, 142}, {137, 138}, {133, 134}, {129, 130}, {125, 126}, {121, 122}, {117,
118}, {49, 50}, {45, 46}, {41, 42}, {37, 38}, {33, 34}, {5, 6}, {9, 10}, {13,
14}, {17, 18}, {21, 22}, {25, 26}, {29, 30}, {53, 54}, {57, 58}, {61, 62}, {65,
66}, {69, 70}, {73, 74}, {77, 78}, {81, 82}, {85, 86}, {89, 90}, {93, 94}, {97,
98}, {101, 102}, {105, 106}, {109, 110}, {113, 114}, {3, 4}, {147, 148}, {139,
140}, {131, 132}, {123, 124}, {115, 116}, {43, 44}, {35, 36}, {11, 12}, {19,
20}, {27, 28}, {51, 52}, {59, 60}, {67, 68}, {75, 76}, {83, 84}, {91, 92}, {99,
100}, {107, 108}, {64, 76}, {65, 77}, {66, 78}, {67, 79}, {7, 8}, {135, 136},
{119, 120}, {39, 40}, {23, 24}, {55, 56}, {71, 72}, {87, 88}, {103, 104}, {68,
80}, {69, 81}, {70, 82}, {71, 83}, {72, 84}, {73, 85}, {74, 86}, {15, 16}, {143,
144}, {47, 48}, {79, 80}, {111, 112}, {31, 32}, {95, 96}, {1, 75}, {49, 123},
{48, 122}, {37, 111}, {36, 110}, {33, 107}, {32, 106}, {4, 78}, {5, 79}, {16,
90}, {17, 91}, {20, 94}, {21, 95}, {52, 126}, {53, 127}, {1, 74}, {2, 76}, {50,
124}, {35, 109}, {34, 108}, {3, 77}, {18, 92}, {19, 93}, {51, 125}, {1, 87},
{47, 121}, {46, 120}, {41, 127}, {40, 126}, {39, 113}, {38, 112}, {33, 119},
{32, 118}, {6, 80}, {7, 81}, {8, 94}, {9, 95}, {14, 88}, {15, 89}, {2, 88}, {45,
119}, {44, 118}, {41, 115}, {40, 114}, {39, 125}, {38, 124}, {35, 121}, {34,
120}, {3, 89}, {6, 92}, {7, 93}, {8, 82}, {9, 83}, {12, 86}, {13, 87}, {4, 90},
{43, 117}, {42, 116}, {37, 123}, {36, 122}, {5, 91}, {10, 84}, {11, 85}, {10,
96}, {31, 117}, {30, 116}, {11, 97}, {14, 100}, {15, 101}, {26, 112}, {27, 113},
{12, 98}, {13, 99}, {28, 114}, {29, 115}, {63, 75}, {16, 102}, {31, 105}, {17,
103}, {22, 96}, {23, 97}, {24, 110}, {25, 111}, {30, 104}, {18, 104}, {19, 105},
{22, 108}, {23, 109}, {24, 98}, {25, 99}, {28, 102}, {29, 103}, {20, 106}, {21,
107}, {26, 100}, {27, 101}, {63, 64}, {42, 128}, {47, 133}, {46, 132}, {43,
129}, {58, 144}, {59, 145}, {62, 148}, {44, 130}, {45, 131}, {60, 146}, {61,
147}, {48, 134}, {49, 135}, {54, 128}, {55, 129}, {56, 142}, {57, 143}, {62,
136}, {63, 137}, {50, 136}, {51, 137}, {54, 140}, {55, 141}, {56, 130}, {57,
131}, {60, 134}, {61, 135}, {52, 138}, {53, 139}, {58, 132}, {59, 133}, {64,
138}, {65, 139}, {68, 142}, {69, 143}, {66, 140}, {67, 141}, {70, 144}, {71,
145}, {72, 146}, {73, 147}, {74, 148}, {75, 148}, {127, 128} }>;
(II) A more general form is to represent the graph as the orbit of {2, 3}
under the group generated by the following permutations:
a: (2, 75, 74, 87)(3, 63, 73, 13)(4, 137, 72, 99)(5, 51, 71, 25)(6, 125, 70,
111)(7, 39, 69, 37)(8, 113, 68, 123)(9, 27, 67, 49)(10, 101, 66, 135)(11, 15,
65, 61)(12, 89, 64, 147)(14, 77, 62, 85)(16, 139, 60, 97)(17, 53, 59, 23)(18,
127, 58, 109)(19, 41, 57, 35)(20, 115, 56, 121)(21, 29, 55, 47)(22, 103, 54,
133)(24, 91, 52, 145)(26, 79, 50, 83)(28, 141, 48, 95)(30, 129, 46, 107)(31, 43,
45, 33)(32, 117, 44, 119)(34, 105, 42, 131)(36, 93, 40, 143)(38, 81)(76, 148,
86, 88)(78, 136, 84, 100)(80, 124, 82, 112)(90, 138, 146, 98)(92, 126, 144,
110)(94, 114, 142, 122)(96, 102, 140, 134)(104, 128, 132, 108)(106, 116, 130,
120) (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, 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)
C4[ 148, 2 ]
148
-1 2 74 75 87
-2 88 1 3 76
-3 77 89 2 4
-4 78 90 3 5
-5 79 91 4 6
-6 80 92 5 7
-7 81 93 6 8
-8 82 94 7 9
-9 83 95 8 10
-10 11 84 96 9
-11 12 85 97 10
-12 11 13 86 98
-13 99 12 14 87
-14 88 100 13 15
-15 89 101 14 16
-16 90 102 15 17
-17 91 103 16 18
-18 92 104 17 19
-19 93 105 18 20
-20 94 106 19 21
-21 22 95 107 20
-22 23 96 108 21
-23 22 24 97 109
-24 110 23 25 98
-25 99 111 24 26
-26 100 112 25 27
-27 101 113 26 28
-28 102 114 27 29
-29 103 115 28 30
-30 104 116 29 31
-31 105 117 30 32
-32 33 106 118 31
-33 34 107 119 32
-34 33 35 108 120
-35 121 34 36 109
-36 110 122 35 37
-37 111 123 36 38
-38 112 124 37 39
-39 113 125 38 40
-40 114 126 39 41
-41 115 127 40 42
-42 116 128 41 43
-43 44 117 129 42
-44 45 118 130 43
-45 44 46 119 131
-46 132 45 47 120
-47 121 133 46 48
-48 122 134 47 49
-49 123 135 48 50
-50 124 136 49 51
-51 125 137 50 52
-52 126 138 51 53
-53 127 139 52 54
-54 55 128 140 53
-55 56 129 141 54
-56 55 57 130 142
-57 143 56 58 131
-58 132 144 57 59
-59 133 145 58 60
-60 134 146 59 61
-61 135 147 60 62
-62 136 148 61 63
-63 137 62 64 75
-64 138 63 65 76
-65 66 77 139 64
-66 67 78 140 65
-67 66 68 79 141
-68 67 69 80 142
-69 143 68 70 81
-70 144 69 71 82
-71 145 70 72 83
-72 146 71 73 84
-73 147 72 74 85
-74 1 148 73 86
-75 1 148 63 76
-76 77 2 64 75
-77 78 3 65 76
-78 66 77 79 4
-79 67 78 80 5
-80 68 79 81 6
-81 69 80 82 7
-82 70 81 83 8
-83 71 82 84 9
-84 72 83 85 10
-85 11 73 84 86
-86 12 74 85 87
-87 88 1 13 86
-88 89 2 14 87
-89 88 90 3 15
-90 89 91 4 16
-91 90 92 5 17
-92 91 93 6 18
-93 92 94 7 19
-94 93 95 8 20
-95 94 96 9 21
-96 22 95 97 10
-97 11 23 96 98
-98 99 12 24 97
-99 100 13 25 98
-100 99 101 14 26
-101 100 102 15 27
-102 101 103 16 28
-103 102 104 17 29
-104 103 105 18 30
-105 104 106 19 31
-106 105 107 20 32
-107 33 106 108 21
-108 22 34 107 109
-109 110 23 35 108
-110 111 24 36 109
-111 110 112 25 37
-112 111 113 26 38
-113 112 114 27 39
-114 113 115 28 40
-115 114 116 29 41
-116 115 117 30 42
-117 116 118 31 43
-118 44 117 119 32
-119 33 45 118 120
-120 121 34 46 119
-121 122 35 47 120
-122 121 123 36 48
-123 122 124 37 49
-124 123 125 38 50
-125 124 126 39 51
-126 125 127 40 52
-127 126 128 41 53
-128 127 129 42 54
-129 55 128 130 43
-130 44 56 129 131
-131 132 45 57 130
-132 133 46 58 131
-133 132 134 47 59
-134 133 135 48 60
-135 134 136 49 61
-136 135 137 50 62
-137 136 138 51 63
-138 137 139 52 64
-139 138 140 53 65
-140 66 139 141 54
-141 55 67 140 142
-142 143 56 68 141
-143 144 57 69 142
-144 143 145 58 70
-145 144 146 59 71
-146 145 147 60 72
-147 146 148 61 73
-148 147 62 74 75
0