Graph forms for C4 [ 144, 49 ]
= B(R_36(29, 10))
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On this page are computer-accessible forms for the graph C4[ 144, 49 ] = B(R_36(29, 10)).
(I) Following is a form readable by MAGMA:
g:=Graph<144|{ {64, 93}, {66, 95}, {65, 94}, {67, 96}, {71, 100}, {64, 100}, {72, 108}, {67, 103}, {66, 102}, {65, 101},
{68, 97}, {70, 99}, {69, 98}, {68, 104}, {71, 107}, {70, 106}, {69, 105}, {72, 101}, {64, 110}, {65, 111}, {66, 112}, {71,
117}, {70, 116}, {67, 113}, {68, 114}, {69, 115}, {64, 126}, {72, 118}, {65, 127}, {38, 103}, {40, 105}, {42, 107}, {47,
109}, {63, 125}, {62, 124}, {59, 121}, {58, 120}, {55, 117}, {54, 116}, {51, 113}, {50, 112}, {37, 102}, {41, 106}, {52,
114}, {61, 123}, {60, 122}, {53, 115}, {8, 79}, {24, 95}, {16, 87}, {32, 103}, {43, 108}, {2, 75}, {23, 94}, {22, 95}, {21,
92}, {20, 93}, {19, 90}, {18, 91}, {17, 88}, {16, 89}, {7, 78}, {6, 79}, {5, 76}, {4, 77}, {3, 74}, {32, 105}, {33, 104},
{34, 107}, {35, 106}, {1, 74}, {22, 93}, {21, 94}, {18, 89}, {17, 90}, {6, 77}, {5, 78}, {2, 73}, {33, 106}, {34, 105},
{56, 118}, {57, 119}, {3, 76}, {20, 91}, {19, 92}, {4, 75}, {32, 111}, {35, 108}, {36, 107}, {39, 104}, {33, 112}, {35,
114}, {37, 119}, {63, 109}, {45, 127}, {44, 126}, {40, 122}, {41, 123}, {34, 113}, {42, 124}, {43, 125}, {7, 80}, {15, 88},
{36, 115}, {8, 81}, {15, 86}, {14, 87}, {13, 84}, {12, 85}, {11, 82}, {10, 83}, {9, 80}, {9, 82}, {14, 85}, {13, 86}, {10,
81}, {60, 96}, {63, 99}, {62, 98}, {61, 97}, {38, 120}, {49, 111}, {48, 110}, {39, 121}, {11, 84}, {12, 83}, {47, 76}, {63,
92}, {59, 88}, {55, 84}, {51, 80}, {40, 76}, {59, 95}, {58, 94}, {57, 93}, {56, 92}, {51, 87}, {50, 86}, {49, 85}, {48,
84}, {41, 77}, {42, 78}, {43, 79}, {44, 73}, {62, 91}, {60, 89}, {54, 83}, {52, 81}, {46, 75}, {45, 74}, {61, 90}, {53,
82}, {1, 109}, {55, 91}, {54, 90}, {53, 89}, {52, 88}, {19, 127}, {18, 126}, {17, 125}, {16, 124}, {3, 111}, {2, 110}, {37,
73}, {38, 74}, {39, 75}, {1, 108}, {58, 87}, {56, 85}, {36, 73}, {57, 86}, {31, 110}, {4, 119}, {12, 127}, {8, 123}, {30,
109}, {4, 112}, {15, 123}, {14, 122}, {13, 121}, {12, 120}, {7, 115}, {6, 114}, {5, 113}, {1, 116}, {11, 126}, {9, 124},
{3, 118}, {2, 117}, {23, 96}, {10, 125}, {31, 104}, {24, 97}, {26, 99}, {25, 96}, {27, 98}, {28, 101}, {29, 100}, {30,
103}, {31, 102}, {25, 98}, {26, 97}, {29, 102}, {30, 101}, {8, 116}, {47, 83}, {46, 82}, {45, 81}, {44, 80}, {11, 119},
{10, 118}, {9, 117}, {5, 120}, {50, 79}, {48, 77}, {7, 122}, {6, 121}, {49, 78}, {27, 100}, {28, 99}, {13, 128}, {15, 130},
{29, 144}, {14, 129}, {16, 131}, {24, 139}, {20, 135}, {28, 143}, {20, 128}, {23, 131}, {22, 130}, {21, 129}, {28, 136},
{29, 137}, {30, 138}, {31, 139}, {17, 132}, {25, 140}, {19, 134}, {27, 142}, {18, 133}, {26, 141}, {24, 132}, {25, 133},
{26, 134}, {27, 135}, {21, 136}, {23, 138}, {22, 137}, {37, 135}, {45, 143}, {44, 142}, {40, 138}, {41, 139}, {42, 140},
{43, 141}, {32, 140}, {33, 141}, {34, 142}, {35, 143}, {38, 136}, {62, 144}, {47, 129}, {46, 128}, {39, 137}, {48, 130},
{61, 143}, {60, 142}, {57, 139}, {56, 138}, {53, 135}, {52, 134}, {49, 131}, {36, 144}, {50, 132}, {59, 141}, {58, 140},
{51, 133}, {46, 144}, {55, 137}, {54, 136}, {66, 128}, {71, 133}, {70, 132}, {67, 129}, {68, 130}, {69, 131}, {72, 134}
}>;
(II) A more general form is to represent the graph as the orbit of {64, 93} under the group generated by the following
permutations:
(1, 73)(2, 74)(3, 75)(4, 76)(5, 77)(6, 78)(7, 79)(8, 80)(9, 81)(10, 82)(11, 83)(12, 84)(13, 85)(14, 86)(15, 87)(16, 88)(17,
89)(18, 90)(19, 91)(20, 92)(21, 93)(22, 94)(23, 95)(24, 96)(25, 97)(26, 98)(27, 99)(28, 100)(29, 101)(30, 102)(31, 103)(32,
104)(33, 105)(34, 106)(35, 107)(36, 108)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45,
117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58,
130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71,
143)(72, 144) (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 **************
(1, 2)(3, 36)(4, 35)(5, 34)(6, 33)(7, 32)(8, 31)(9, 30)(10, 29)(11, 28)(12, 27)(13, 26)(14, 25)(15, 24)(16, 23)(17, 22)(18,
21)(19, 20)(37, 45)(38, 44)(39, 43)(40, 42)(46, 72)(47, 71)(48, 70)(49, 69)(50, 68)(51, 67)(52, 66)(53, 65)(54, 64)(55,
63)(56, 62)(57, 61)(58, 60)(73, 74)(75, 108)(76, 107)(77, 106)(78, 105)(79, 104)(80, 103)(81, 102)(82, 101)(83, 100)(84,
99)(85, 98)(86, 97)(87, 96)(88, 95)(89, 94)(90, 93)(91, 92)(109, 117)(110, 116)(111, 115)(112, 114)(118, 144)(119,
143)(120, 142)(121, 141)(122, 140)(123, 139)(124, 138)(125, 137)(126, 136)(127, 135)(128, 134)(129, 133)(130, 132)
(2, 37)(3, 47)(5, 40)(6, 50)(8, 43)(9, 53)(11, 46)(12, 56)(14, 49)(15, 59)(17, 52)(18, 62)(20, 55)(21, 65)(23, 58)(24,
68)(26, 61)(27, 71)(29, 64)(30, 38)(32, 67)(33, 41)(35, 70)(36, 44)(39, 57)(42, 60)(45, 63)(48, 66)(51, 69)(54, 72)(74,
109)(75, 119)(77, 112)(78, 122)(80, 115)(81, 125)(83, 118)(84, 128)(86, 121)(87, 131)(89, 124)(90, 134)(92, 127)(93,
137)(95, 130)(96, 140)(98, 133)(99, 143)(101, 136)(102, 110)(104, 139)(105, 113)(107, 142)(108, 116)(111, 129)(114,
132)(117, 135)(120, 138)(123, 141)(126, 144)
(2, 44)(3, 70)(4, 34)(5, 41)(6, 67)(7, 31)(8, 38)(9, 64)(10, 28)(11, 71)(12, 61)(13, 25)(14, 68)(15, 58)(16, 22)(17,
65)(18, 55)(20, 62)(21, 52)(23, 59)(24, 49)(26, 56)(27, 46)(29, 53)(30, 43)(32, 50)(33, 40)(35, 47)(36, 37)(39, 60)(42,
57)(45, 54)(48, 51)(63, 72)(66, 69)(74, 116)(75, 142)(76, 106)(77, 113)(78, 139)(79, 103)(80, 110)(81, 136)(82, 100)(83,
143)(84, 133)(85, 97)(86, 140)(87, 130)(88, 94)(89, 137)(90, 127)(92, 134)(93, 124)(95, 131)(96, 121)(98, 128)(99,
118)(101, 125)(102, 115)(104, 122)(105, 112)(107, 119)(108, 109)(111, 132)(114, 129)(117, 126)(120, 123)(135, 144)(138,
141)
C4[ 144, 49 ]
144
-1 116 74 108 109
-2 110 73 117 75
-3 111 74 118 76
-4 77 112 75 119
-5 78 113 76 120
-6 77 121 79 114
-7 78 122 80 115
-8 79 123 81 116
-9 80 124 82 117
-10 81 125 83 118
-11 82 126 84 119
-12 83 127 85 120
-13 121 84 128 86
-14 122 85 129 87
-15 88 123 86 130
-16 89 124 87 131
-17 88 132 90 125
-18 89 133 91 126
-19 90 134 92 127
-20 91 135 93 128
-21 92 136 94 129
-22 93 137 95 130
-23 94 138 96 131
-24 132 95 139 97
-25 133 96 140 98
-26 99 134 97 141
-27 100 135 98 142
-28 99 143 101 136
-29 100 144 102 137
-30 101 103 138 109
-31 110 102 104 139
-32 111 103 105 140
-33 112 104 106 141
-34 113 105 107 142
-35 143 114 106 108
-36 144 115 73 107
-37 102 135 73 119
-38 103 136 74 120
-39 121 104 137 75
-40 122 105 138 76
-41 77 123 106 139
-42 78 124 107 140
-43 79 125 108 141
-44 80 126 73 142
-45 143 81 127 74
-46 144 82 128 75
-47 83 129 76 109
-48 77 110 84 130
-49 78 111 85 131
-50 132 79 112 86
-51 133 80 113 87
-52 88 134 81 114
-53 89 135 82 115
-54 90 136 83 116
-55 91 137 84 117
-56 92 138 85 118
-57 93 139 86 119
-58 94 140 87 120
-59 88 121 95 141
-60 89 122 96 142
-61 143 90 123 97
-62 144 91 124 98
-63 99 92 125 109
-64 110 100 93 126
-65 111 101 94 127
-66 112 102 95 128
-67 113 103 96 129
-68 114 104 97 130
-69 115 105 98 131
-70 99 132 116 106
-71 100 133 117 107
-72 101 134 118 108
-73 44 2 36 37
-74 1 45 3 38
-75 2 46 4 39
-76 3 47 5 40
-77 4 48 6 41
-78 5 49 7 42
-79 6 50 8 43
-80 44 7 51 9
-81 45 8 52 10
-82 11 46 9 53
-83 12 47 10 54
-84 11 55 13 48
-85 12 56 14 49
-86 13 57 15 50
-87 14 58 16 51
-88 15 59 17 52
-89 16 60 18 53
-90 17 61 19 54
-91 55 18 62 20
-92 56 19 63 21
-93 22 57 20 64
-94 23 58 21 65
-95 22 66 24 59
-96 23 67 25 60
-97 24 68 26 61
-98 25 69 27 62
-99 26 70 28 63
-100 27 71 29 64
-101 28 72 30 65
-102 66 37 29 31
-103 67 38 30 32
-104 33 68 39 31
-105 34 69 40 32
-106 33 35 70 41
-107 34 36 71 42
-108 1 35 72 43
-109 1 47 30 63
-110 2 48 31 64
-111 3 49 32 65
-112 33 66 4 50
-113 34 67 5 51
-114 35 68 6 52
-115 36 69 7 53
-116 1 70 8 54
-117 55 2 71 9
-118 56 3 72 10
-119 11 57 4 37
-120 12 58 5 38
-121 13 59 6 39
-122 14 60 7 40
-123 15 61 8 41
-124 16 62 9 42
-125 17 63 10 43
-126 11 44 18 64
-127 12 45 19 65
-128 66 13 46 20
-129 67 14 47 21
-130 22 68 15 48
-131 23 69 16 49
-132 24 70 17 50
-133 25 71 18 51
-134 26 72 19 52
-135 37 27 20 53
-136 38 28 21 54
-137 22 55 39 29
-138 23 56 40 30
-139 24 57 41 31
-140 25 58 42 32
-141 33 26 59 43
-142 44 34 27 60
-143 45 35 28 61
-144 46 36 29 62
0