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On this page are computer-accessible forms for the graph C4[ 144, 50 ] = SDD(DW(12,3)).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {69, 97} under the group generated by the following permutations:

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

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

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