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On this page are computer-accessible forms for the graph C4[ 144, 61 ] = SDD(AMC(4,3,[0.1:1.2])).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {64, 95} under the group generated by the following permutations:

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

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

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