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On this page are computer-accessible forms for the graph C4[ 160, 64 ] = SDD(C_40(1,11)).

(I) Following is a form readable by MAGMA:

g:=Graph<160|{ {72, 111}, {80, 119}, {68, 108}, {80, 120}, {71, 111}, {69, 109}, {66, 107}, {71, 110}, {64, 106}, {65, 107}, {69, 110}, {70, 109}, {65, 108}, {67, 109}, {67, 108}, {68, 119}, {66, 118}, {64, 117}, {72, 112}, {79, 119}, {78, 118}, {77, 117}, {76, 116}, {75, 115}, {74, 114}, {73, 113}, {73, 112}, {79, 118}, {77, 116}, {75, 114}, {74, 113}, {78, 117}, {70, 120}, {76, 115}, {24, 88}, {26, 90}, {42, 106}, {22, 87}, {40, 105}, {25, 88}, {21, 87}, {27, 89}, {46, 108}, {20, 87}, {36, 103}, {26, 89}, {18, 86}, {30, 90}, {16, 85}, {31, 90}, {28, 89}, {19, 86}, {17, 87}, {29, 91}, {54, 112}, {17, 86}, {33, 102}, {29, 90}, {44, 107}, {58, 114}, {41, 96}, {56, 113}, {43, 97}, {62, 116}, {43, 96}, {20, 88}, {44, 96}, {45, 97}, {47, 99}, {47, 98}, {23, 89}, {38, 104}, {23, 88}, {60, 115}, {45, 98}, {46, 97}, {1, 81}, {52, 100}, {53, 101}, {55, 103}, {50, 99}, {55, 102}, {57, 104}, {3, 81}, {48, 98}, {49, 99}, {59, 105}, {1, 82}, {12, 95}, {2, 81}, {53, 102}, {54, 101}, {59, 104}, {6, 82}, {63, 107}, {61, 105}, {60, 104}, {4, 81}, {63, 106}, {7, 82}, {49, 100}, {5, 83}, {51, 101}, {5, 82}, {62, 105}, {61, 106}, {9, 94}, {51, 100}, {12, 84}, {14, 86}, {10, 83}, {13, 84}, {9, 83}, {34, 120}, {15, 85}, {6, 93}, {14, 85}, {8, 83}, {52, 111}, {8, 84}, {50, 110}, {48, 109}, {58, 103}, {2, 92}, {11, 85}, {56, 102}, {57, 103}, {11, 84}, {19, 115}, {16, 114}, {22, 116}, {7, 111}, {31, 119}, {22, 127}, {21, 127}, {28, 118}, {20, 127}, {18, 126}, {25, 117}, {3, 110}, {19, 126}, {16, 125}, {17, 127}, {15, 96}, {17, 126}, {12, 124}, {14, 126}, {10, 123}, {13, 124}, {9, 123}, {15, 125}, {8, 123}, {18, 97}, {14, 125}, {8, 124}, {42, 95}, {11, 125}, {41, 95}, {40, 94}, {11, 124}, {21, 98}, {1, 121}, {39, 95}, {37, 93}, {36, 92}, {34, 91}, {39, 94}, {3, 121}, {33, 91}, {10, 112}, {1, 122}, {38, 93}, {37, 94}, {32, 91}, {30, 101}, {24, 99}, {2, 121}, {4, 120}, {32, 92}, {13, 113}, {6, 122}, {4, 121}, {7, 122}, {5, 123}, {35, 93}, {5, 122}, {35, 92}, {27, 100}, {31, 159}, {28, 158}, {34, 160}, {6, 133}, {25, 157}, {2, 132}, {15, 136}, {19, 155}, {16, 154}, {22, 156}, {12, 135}, {9, 134}, {7, 151}, {10, 152}, {24, 139}, {30, 141}, {13, 153}, {20, 128}, {3, 150}, {23, 129}, {23, 128}, {27, 140}, {24, 128}, {26, 130}, {25, 128}, {27, 129}, {18, 137}, {26, 129}, {30, 130}, {28, 129}, {31, 130}, {29, 131}, {21, 138}, {29, 130}, {36, 132}, {39, 135}, {37, 133}, {58, 154}, {34, 131}, {39, 134}, {41, 136}, {56, 153}, {33, 131}, {62, 156}, {43, 137}, {32, 131}, {38, 133}, {37, 134}, {43, 136}, {52, 151}, {4, 160}, {32, 132}, {44, 136}, {45, 137}, {47, 139}, {50, 150}, {47, 138}, {48, 149}, {35, 133}, {35, 132}, {60, 155}, {45, 138}, {46, 137}, {57, 144}, {59, 145}, {36, 143}, {59, 144}, {60, 144}, {63, 147}, {61, 145}, {42, 135}, {63, 146}, {40, 134}, {41, 135}, {54, 152}, {33, 142}, {62, 145}, {61, 146}, {58, 143}, {38, 144}, {56, 142}, {57, 143}, {42, 146}, {52, 140}, {53, 141}, {55, 143}, {40, 145}, {50, 139}, {55, 142}, {46, 148}, {48, 138}, {49, 139}, {53, 142}, {54, 141}, {49, 140}, {51, 141}, {44, 147}, {51, 140}, {80, 159}, {68, 148}, {79, 159}, {78, 158}, {77, 157}, {76, 156}, {75, 155}, {74, 154}, {73, 153}, {72, 152}, {71, 151}, {69, 149}, {66, 147}, {79, 158}, {77, 156}, {75, 154}, {73, 152}, {71, 150}, {64, 146}, {65, 147}, {69, 150}, {78, 157}, {74, 153}, {70, 149}, {65, 148}, {67, 149}, {67, 148}, {76, 155}, {68, 159}, {66, 158}, {64, 157}, {72, 151}, {70, 160}, {80, 160} }>;

(II) A more general form is to represent the graph as the orbit of {72, 111} under the group generated by the following permutations:

a: (90, 130)
b: (98, 138)
c: (113, 153)
d: (109, 149)
e: (81, 121)
f: (99, 139)
g: (105, 145)
h: (84, 124)
m: (110, 150)
n1: (88, 128)
a1: (106, 146)
b1: (103, 143)
c1: (112, 152)
d1: (108, 148)
e1: (97, 137)
f1: (100, 140)
g1: (118, 158)
h1: (104, 144)
m1: (89, 129)
n2: (119, 159)
a2: (101, 141)
b2: (93, 133)
c2: (111, 151)
d2: (102, 142)
e2: (95, 135)
f2: (1, 2)(3, 4)(5, 36)(6, 35)(7, 32)(8, 58)(9, 57)(10, 55)(11, 16)(12, 75)(13, 74)(14, 15)(17, 44)(18, 43)(19, 41)(20, 66)(21, 65)(22, 63)(23, 28)(24, 79)(25, 78)(26, 27)(29, 52)(30, 51)(31, 49)(33, 72)(34, 71)(37, 38)(39, 60)(40, 59)(42, 76)(45, 46)(47, 68)(48, 67)(50, 80)(53, 54)(56, 73)(61, 62)(64, 77)(69, 70)(82, 92)(83, 103)(84, 114)(86, 96)(87, 107)(88, 118)(90, 100)(91, 111)(94, 104)(95, 115)(98, 108)(99, 119)(102, 112)(106, 116)(110, 120)(122, 132)(123, 143)(124, 154)(126, 136)(127, 147)(128, 158)(130, 140)(131, 151)(134, 144)(135, 155)(138, 148)(139, 159)(142, 152)(146, 156)(150, 160)
g2: (115, 155)
h2: (2, 7)(3, 6)(4, 5)(8, 80)(9, 70)(10, 34)(11, 79)(12, 68)(13, 31)(14, 78)(15, 66)(16, 28)(17, 77)(18, 64)(19, 25)(20, 76)(21, 62)(23, 75)(24, 60)(26, 74)(27, 58)(29, 73)(30, 56)(32, 72)(33, 54)(35, 71)(36, 52)(37, 69)(38, 50)(39, 67)(40, 48)(41, 65)(42, 46)(43, 63)(45, 61)(47, 59)(49, 57)(51, 55)(81, 82)(83, 120)(84, 119)(85, 118)(86, 117)(87, 116)(88, 115)(89, 114)(90, 113)(91, 112)(92, 111)(93, 110)(94, 109)(95, 108)(96, 107)(97, 106)(98, 105)(99, 104)(100, 103)(101, 102)(121, 122)(123, 160)(124, 159)(125, 158)(126, 157)(127, 156)(128, 155)(129, 154)(130, 153)(131, 152)(132, 151)(133, 150)(134, 149)(135, 148)(136, 147)(137, 146)(138, 145)(139, 144)(140, 143)(141, 142)
m2: (91, 131)
n3: (120, 160)
a3: (1, 3, 69, 48, 45, 18, 14, 16, 74, 56, 53, 30, 26, 28, 78, 64, 61, 40, 37, 6)(2, 71, 70, 47, 46, 17, 15, 75, 13, 55, 54, 29, 27, 79, 25, 63, 62, 39, 38, 5)(4, 50, 67, 21, 43, 19, 11, 58, 73, 33, 51, 31, 23, 66, 77, 42, 59, 9, 35, 7)(8, 36, 72, 34, 49, 68, 20, 44, 76, 12, 57, 10, 32, 52, 80, 24, 65, 22, 41, 60)(81, 110, 109, 98, 97, 86, 85, 114, 113, 102, 101, 90, 89, 118, 117, 106, 105, 94, 93, 82)(83, 92, 111, 120, 99, 108, 87, 96, 115, 84, 103, 112, 91, 100, 119, 88, 107, 116, 95, 104)(121, 150, 149, 138, 137, 126, 125, 154, 153, 142, 141, 130, 129, 158, 157, 146, 145, 134, 133, 122)(123, 132, 151, 160, 139, 148, 127, 136, 155, 124, 143, 152, 131, 140, 159, 128, 147, 156, 135, 144)
b3: (107, 147)
c3: (92, 132)
d3: (96, 136)
e3: (83, 123)
f3: (116, 156)
g3: (82, 122)
h3: (87, 127)
m3: (114, 154)
n4: (85, 125)
a4: (94, 134)
b4: (117, 157)

(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[ 160, 64 ]
160
-1 121 122 81 82
-2 121 132 81 92
-3 110 121 81 150
-4 121 81 160 120
-5 122 123 82 83
-6 122 133 82 93
-7 111 122 82 151
-8 123 124 83 84
-9 123 134 83 94
-10 112 123 83 152
-11 124 125 84 85
-12 124 135 84 95
-13 113 124 84 153
-14 125 126 85 86
-15 125 136 85 96
-16 154 114 125 85
-17 126 127 86 87
-18 126 137 86 97
-19 155 115 126 86
-20 88 127 128 87
-21 127 138 87 98
-22 156 116 127 87
-23 88 89 128 129
-24 88 99 128 139
-25 88 157 117 128
-26 89 90 129 130
-27 89 100 129 140
-28 89 158 118 129
-29 90 91 130 131
-30 90 101 130 141
-31 90 159 119 130
-32 132 91 92 131
-33 91 102 131 142
-34 91 160 120 131
-35 132 133 92 93
-36 132 143 92 103
-37 133 134 93 94
-38 133 144 93 104
-39 134 135 94 95
-40 134 145 94 105
-41 135 136 95 96
-42 135 146 95 106
-43 136 137 96 97
-44 136 147 96 107
-45 137 138 97 98
-46 137 148 97 108
-47 99 138 139 98
-48 138 149 98 109
-49 99 100 139 140
-50 99 110 139 150
-51 100 101 140 141
-52 100 111 140 151
-53 101 102 141 142
-54 101 112 141 152
-55 143 102 103 142
-56 102 113 142 153
-57 143 144 103 104
-58 143 154 103 114
-59 144 145 104 105
-60 144 155 104 115
-61 145 146 105 106
-62 145 156 105 116
-63 146 147 106 107
-64 146 157 106 117
-65 147 148 107 108
-66 147 158 107 118
-67 148 149 108 109
-68 148 159 108 119
-69 110 149 150 109
-70 149 160 109 120
-71 110 111 150 151
-72 111 112 151 152
-73 112 113 152 153
-74 154 113 114 153
-75 154 155 114 115
-76 155 156 115 116
-77 156 157 116 117
-78 157 158 117 118
-79 158 159 118 119
-80 159 160 119 120
-81 1 2 3 4
-82 1 5 6 7
-83 5 8 9 10
-84 11 12 13 8
-85 11 14 15 16
-86 14 17 18 19
-87 22 17 20 21
-88 23 24 25 20
-89 23 26 27 28
-90 26 29 30 31
-91 33 34 29 32
-92 2 35 36 32
-93 35 37 38 6
-94 37 39 40 9
-95 12 39 41 42
-96 44 15 41 43
-97 45 46 18 43
-98 45 47 48 21
-99 24 47 49 50
-100 27 49 51 52
-101 51 30 53 54
-102 33 55 56 53
-103 55 57 36 58
-104 57 59 38 60
-105 59 61 40 62
-106 61 63 42 64
-107 44 66 63 65
-108 67 46 68 65
-109 67 69 48 70
-110 3 69 71 50
-111 71 72 7 52
-112 72 73 10 54
-113 56 13 73 74
-114 58 16 74 75
-115 60 19 75 76
-116 22 77 62 76
-117 77 78 25 64
-118 66 78 79 28
-119 68 79 80 31
-120 34 80 4 70
-121 1 2 3 4
-122 1 5 6 7
-123 5 8 9 10
-124 11 12 13 8
-125 11 14 15 16
-126 14 17 18 19
-127 22 17 20 21
-128 23 24 25 20
-129 23 26 27 28
-130 26 29 30 31
-131 33 34 29 32
-132 2 35 36 32
-133 35 37 38 6
-134 37 39 40 9
-135 12 39 41 42
-136 44 15 41 43
-137 45 46 18 43
-138 45 47 48 21
-139 24 47 49 50
-140 27 49 51 52
-141 51 30 53 54
-142 33 55 56 53
-143 55 57 36 58
-144 57 59 38 60
-145 59 61 40 62
-146 61 63 42 64
-147 44 66 63 65
-148 67 46 68 65
-149 67 69 48 70
-150 3 69 71 50
-151 71 72 7 52
-152 72 73 10 54
-153 56 13 73 74
-154 58 16 74 75
-155 60 19 75 76
-156 22 77 62 76
-157 77 78 25 64
-158 66 78 79 28
-159 68 79 80 31
-160 34 80 4 70
0

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