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On this page are computer-accessible forms for the graph C4[ 144, 47 ] = SDD(Pr_12(1,1,5,5)).

(I) Following is a form readable by MAGMA:

g:=Graph<144|{ {71, 79}, {68, 84}, {71, 87}, {68, 92}, {68, 102}, {68, 97}, {64, 104}, {72, 103}, {66, 115}, {72, 122}, {64, 116}, {65, 117}, {72, 126}, {67, 122}, {66, 121}, {71, 124}, {64, 127}, {69, 122}, {65, 126}, {44, 108}, {47, 111}, {34, 99}, {12, 79}, {16, 83}, {39, 100}, {42, 105}, {28, 88}, {31, 91}, {30, 90}, {29, 89}, {49, 117}, {52, 112}, {11, 78}, {61, 120}, {17, 84}, {38, 99}, {16, 86}, {63, 121}, {38, 96}, {39, 97}, {60, 123}, {1, 73}, {62, 118}, {58, 114}, {22, 94}, {4, 77}, {35, 106}, {53, 124}, {1, 75}, {56, 114}, {34, 104}, {21, 95}, {6, 76}, {40, 98}, {44, 102}, {54, 124}, {1, 74}, {28, 87}, {2, 73}, {3, 79}, {63, 115}, {62, 114}, {61, 113}, {58, 118}, {41, 101}, {51, 127}, {25, 84}, {40, 101}, {50, 127}, {4, 74}, {5, 75}, {1, 78}, {32, 111}, {3, 76}, {2, 77}, {45, 98}, {49, 126}, {27, 75}, {61, 109}, {28, 76}, {6, 87}, {33, 112}, {27, 74}, {40, 121}, {2, 80}, {27, 73}, {3, 81}, {38, 116}, {39, 117}, {5, 86}, {8, 91}, {46, 125}, {14, 90}, {57, 109}, {35, 119}, {7, 82}, {59, 110}, {27, 78}, {9, 92}, {46, 123}, {48, 101}, {7, 81}, {60, 106}, {10, 93}, {11, 83}, {56, 96}, {13, 85}, {2, 88}, {34, 120}, {33, 123}, {5, 95}, {4, 94}, {3, 89}, {43, 113}, {8, 83}, {12, 87}, {14, 82}, {33, 125}, {7, 90}, {15, 82}, {13, 80}, {11, 86}, {9, 84}, {6, 88}, {57, 103}, {35, 125}, {16, 78}, {40, 118}, {45, 115}, {46, 112}, {10, 85}, {59, 100}, {14, 81}, {52, 107}, {59, 91}, {26, 123}, {42, 75}, {43, 74}, {52, 85}, {14, 108}, {21, 119}, {20, 118}, {15, 109}, {56, 91}, {57, 90}, {52, 80}, {11, 110}, {13, 107}, {19, 117}, {18, 116}, {17, 119}, {43, 77}, {24, 127}, {8, 96}, {21, 125}, {10, 98}, {9, 97}, {23, 126}, {36, 77}, {37, 76}, {37, 79}, {7, 108}, {56, 83}, {5, 105}, {24, 116}, {6, 107}, {36, 73}, {23, 122}, {20, 121}, {22, 120}, {25, 119}, {9, 102}, {61, 82}, {12, 124}, {26, 106}, {25, 105}, {24, 104}, {23, 103}, {45, 93}, {18, 99}, {31, 110}, {29, 108}, {20, 101}, {18, 96}, {19, 97}, {30, 109}, {46, 93}, {47, 92}, {36, 80}, {37, 81}, {4, 113}, {22, 99}, {42, 95}, {43, 94}, {44, 89}, {20, 98}, {25, 111}, {15, 120}, {28, 107}, {19, 100}, {17, 105}, {45, 85}, {10, 115}, {30, 103}, {8, 114}, {29, 102}, {31, 100}, {32, 92}, {35, 95}, {34, 94}, {33, 93}, {36, 88}, {37, 89}, {42, 86}, {13, 112}, {15, 113}, {22, 104}, {17, 111}, {16, 110}, {21, 106}, {12, 130}, {23, 134}, {30, 140}, {31, 138}, {19, 133}, {26, 141}, {29, 133}, {26, 128}, {18, 137}, {24, 135}, {32, 129}, {47, 142}, {49, 144}, {39, 133}, {41, 139}, {41, 143}, {44, 133}, {41, 130}, {32, 142}, {47, 129}, {38, 137}, {63, 144}, {51, 131}, {55, 135}, {50, 131}, {60, 141}, {59, 138}, {58, 139}, {48, 130}, {50, 128}, {51, 128}, {58, 137}, {55, 132}, {53, 129}, {57, 140}, {62, 139}, {50, 132}, {51, 132}, {62, 137}, {54, 129}, {54, 143}, {63, 134}, {55, 142}, {53, 143}, {48, 139}, {49, 138}, {60, 128}, {53, 136}, {54, 136}, {48, 143}, {55, 136}, {67, 131}, {70, 135}, {70, 132}, {66, 134}, {71, 130}, {69, 131}, {64, 135}, {69, 141}, {70, 142}, {69, 140}, {65, 138}, {67, 141}, {72, 134}, {70, 136}, {67, 140}, {65, 144}, {66, 144} }>;

(II) A more general form is to represent the graph as the orbit of {71, 79} under the group generated by the following permutations:

a: (20, 40)
b: (49, 65)
c: (55, 70)
d: (8, 56)
e: (50, 51)
f: (11, 16)
g: (30, 57)
h: (2, 11)(3, 19)(4, 5)(6, 31)(7, 9)(8, 13)(10, 58)(12, 49)(14, 68)(15, 17)(16, 36)(18, 33)(21, 22)(23, 53)(24, 26)(25, 61)(28, 59)(30, 32)(34, 35)(37, 39)(38, 46)(41, 63)(42, 43)(45, 62)(47, 57)(48, 66)(52, 56)(54, 72)(55, 67)(60, 64)(65, 71)(69, 70)(73, 78)(74, 75)(76, 100)(77, 86)(79, 117)(80, 83)(81, 97)(82, 84)(85, 114)(87, 138)(88, 110)(89, 133)(90, 92)(91, 107)(93, 137)(94, 95)(96, 112)(98, 118)(99, 125)(101, 121)(102, 108)(103, 129)(104, 106)(105, 113)(109, 111)(115, 139)(116, 123)(119, 120)(122, 136)(124, 126)(127, 128)(130, 144)(131, 132)(134, 143)(135, 141)(140, 142)
m: (63, 66)
n1: (13, 52)
a1: (3, 37)
b1: (10, 45)
c1: (17, 25)
d1: (53, 54)
e1: (4, 43)
f1: (12, 71)
g1: (32, 47)
h1: (41, 48)
m1: (1, 2)(3, 8)(5, 13)(6, 11)(7, 18)(9, 20)(10, 17)(12, 31)(14, 38)(15, 22)(16, 28)(19, 41)(21, 33)(23, 55)(24, 30)(25, 45)(27, 36)(29, 58)(32, 63)(34, 61)(35, 46)(37, 56)(39, 48)(40, 68)(42, 52)(44, 62)(47, 66)(49, 53)(50, 67)(51, 69)(54, 65)(57, 64)(59, 71)(70, 72)(74, 77)(75, 80)(76, 83)(78, 88)(79, 91)(81, 96)(82, 99)(84, 98)(85, 105)(86, 107)(87, 110)(89, 114)(90, 116)(92, 121)(93, 119)(94, 113)(95, 112)(97, 101)(100, 130)(102, 118)(103, 135)(104, 109)(106, 123)(108, 137)(111, 115)(117, 143)(122, 132)(124, 138)(126, 136)(127, 140)(128, 141)(129, 144)(133, 139)(134, 142)
n2: (9, 68)
a2: (15, 61)
b2: (7, 14)
c2: (29, 44)
d2: (31, 59)
e2: (2, 5)(3, 9)(4, 11)(6, 17)(7, 19)(8, 22)(10, 26)(12, 32)(13, 21)(14, 39)(15, 31)(16, 43)(20, 50)(24, 58)(25, 28)(30, 49)(34, 56)(35, 52)(36, 42)(37, 68)(40, 51)(41, 55)(45, 60)(47, 71)(48, 70)(57, 65)(59, 61)(62, 64)(63, 67)(66, 69)(73, 75)(74, 78)(76, 84)(77, 86)(79, 92)(80, 95)(81, 97)(82, 100)(83, 94)(85, 106)(87, 111)(88, 105)(89, 102)(90, 117)(91, 120)(93, 123)(96, 99)(98, 128)(101, 132)(103, 126)(104, 114)(107, 119)(108, 133)(109, 138)(110, 113)(112, 125)(115, 141)(116, 137)(118, 127)(121, 131)(122, 134)(124, 129)(130, 142)(135, 139)(136, 143)(140, 144)
f2: (18, 38)
g2: (23, 72)
h2: (33, 46)
m2: (19, 39)
n3: (58, 62)
a3: (26, 60)
b3: (5, 42)
c3: (6, 28)
d3: (22, 34)
e3: (67, 69)
f3: (24, 64)
g3: (21, 35)
h3: (2, 36)

(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.

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&Graph
C4[ 144, 47 ]
144
-1 78 73 74 75
-2 77 88 80 73
-3 89 79 81 76
-4 77 113 94 74
-5 105 95 75 86
-6 88 107 76 87
-7 90 81 82 108
-8 91 114 83 96
-9 102 92 84 97
-10 93 115 85 98
-11 110 78 83 86
-12 79 124 130 87
-13 112 80 85 107
-14 90 81 82 108
-15 113 82 109 120
-16 110 78 83 86
-17 111 105 84 119
-18 99 137 116 96
-19 100 133 117 97
-20 121 101 118 98
-21 125 95 106 119
-22 99 104 94 120
-23 122 134 103 126
-24 135 104 116 127
-25 111 105 84 119
-26 123 106 128 141
-27 78 73 74 75
-28 88 107 76 87
-29 89 133 102 108
-30 90 103 140 109
-31 110 100 91 138
-32 111 92 129 142
-33 112 123 125 93
-34 99 104 94 120
-35 125 95 106 119
-36 77 88 80 73
-37 89 79 81 76
-38 99 137 116 96
-39 100 133 117 97
-40 121 101 118 98
-41 143 101 139 130
-42 105 95 75 86
-43 77 113 94 74
-44 89 133 102 108
-45 93 115 85 98
-46 112 123 125 93
-47 111 92 129 142
-48 143 101 139 130
-49 144 126 138 117
-50 132 127 128 131
-51 132 127 128 131
-52 112 80 85 107
-53 143 124 136 129
-54 143 124 136 129
-55 132 135 136 142
-56 91 114 83 96
-57 90 103 140 109
-58 114 137 139 118
-59 110 100 91 138
-60 123 106 128 141
-61 113 82 109 120
-62 114 137 139 118
-63 121 144 134 115
-64 135 104 116 127
-65 144 126 138 117
-66 121 144 134 115
-67 122 140 141 131
-68 102 92 84 97
-69 122 140 141 131
-70 132 135 136 142
-71 79 124 130 87
-72 122 134 103 126
-73 1 2 36 27
-74 1 4 27 43
-75 1 5 27 42
-76 3 37 6 28
-77 2 36 4 43
-78 11 1 16 27
-79 12 3 37 71
-80 2 13 36 52
-81 3 14 37 7
-82 14 15 61 7
-83 11 56 16 8
-84 68 25 17 9
-85 45 13 52 10
-86 11 5 16 42
-87 12 71 6 28
-88 2 36 6 28
-89 44 3 37 29
-90 57 14 7 30
-91 56 59 8 31
-92 68 47 9 32
-93 33 45 46 10
-94 22 34 4 43
-95 35 5 42 21
-96 56 38 18 8
-97 68 39 19 9
-98 45 40 20 10
-99 22 34 38 18
-100 59 39 19 31
-101 48 40 41 20
-102 44 68 29 9
-103 23 57 72 30
-104 22 34 24 64
-105 25 5 17 42
-106 35 26 60 21
-107 13 6 28 52
-108 44 14 7 29
-109 57 15 61 30
-110 11 59 16 31
-111 25 47 17 32
-112 33 13 46 52
-113 4 15 61 43
-114 56 58 62 8
-115 66 45 63 10
-116 24 38 18 64
-117 49 39 19 65
-118 58 40 62 20
-119 35 25 17 21
-120 22 34 15 61
-121 66 40 63 20
-122 23 67 69 72
-123 33 46 26 60
-124 12 71 53 54
-125 33 35 46 21
-126 23 49 72 65
-127 24 50 51 64
-128 26 60 50 51
-129 47 53 32 54
-130 12 48 71 41
-131 67 69 50 51
-132 55 70 50 51
-133 44 39 29 19
-134 66 23 72 63
-135 55 24 70 64
-136 55 70 53 54
-137 58 38 18 62
-138 59 49 31 65
-139 58 48 62 41
-140 67 57 69 30
-141 67 69 26 60
-142 55 47 70 32
-143 48 41 53 54
-144 66 49 63 65
0

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