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On this page are computer-accessible forms for the graph C4[ 160, 65 ] = SDD({4,4}_6,2).

(I) Following is a form readable by MAGMA:

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

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

**************

&Graph
C4[ 160, 65 ]
160
-1 121 122 81 82
-2 121 100 81 140
-3 121 101 81 141
-4 121 81 147 107
-5 122 123 82 83
-6 122 102 82 142
-7 122 82 148 108
-8 123 124 83 84
-9 143 123 103 83
-10 123 83 149 109
-11 124 125 84 85
-12 144 124 104 84
-13 110 124 84 150
-14 125 126 85 86
-15 145 125 105 85
-16 111 125 85 151
-17 126 127 86 87
-18 146 126 106 86
-19 112 126 86 152
-20 88 127 128 87
-21 147 127 107 87
-22 113 127 87 153
-23 88 89 128 129
-24 88 148 128 108
-25 88 154 114 128
-26 89 90 129 130
-27 89 149 129 109
-28 89 155 115 129
-29 90 91 130 131
-30 110 90 150 130
-31 90 156 116 130
-32 132 91 92 131
-33 111 91 151 131
-34 91 157 117 131
-35 132 133 92 93
-36 132 112 92 152
-37 132 92 158 118
-38 133 134 93 94
-39 133 113 93 153
-40 133 93 159 119
-41 134 135 94 95
-42 154 134 114 94
-43 134 94 160 120
-44 135 136 95 96
-45 101 135 95 141
-46 155 135 115 95
-47 136 137 96 97
-48 102 136 96 142
-49 156 136 116 96
-50 137 138 97 98
-51 143 103 137 97
-52 157 137 117 97
-53 99 138 139 98
-54 144 104 138 98
-55 158 138 118 98
-56 99 100 139 140
-57 99 145 105 139
-58 99 159 139 119
-59 100 146 106 140
-60 100 160 140 120
-61 101 102 141 142
-62 101 160 141 120
-63 143 102 103 142
-64 143 144 103 104
-65 144 145 104 105
-66 145 146 105 106
-67 146 147 106 107
-68 147 148 107 108
-69 148 149 108 109
-70 110 149 150 109
-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 35 36 37 32
-93 35 38 39 40
-94 38 41 42 43
-95 44 45 46 41
-96 44 47 48 49
-97 47 50 51 52
-98 55 50 53 54
-99 56 57 58 53
-100 56 2 59 60
-101 45 3 61 62
-102 48 6 61 63
-103 51 63 9 64
-104 12 64 54 65
-105 66 57 15 65
-106 66 67 59 18
-107 67 68 4 21
-108 24 68 69 7
-109 69 70 27 10
-110 13 70 71 30
-111 33 16 71 72
-112 36 72 73 19
-113 22 39 73 74
-114 25 74 42 75
-115 46 28 75 76
-116 77 49 31 76
-117 77 34 78 52
-118 55 78 79 37
-119 79 58 80 40
-120 80 60 62 43
-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 35 36 37 32
-133 35 38 39 40
-134 38 41 42 43
-135 44 45 46 41
-136 44 47 48 49
-137 47 50 51 52
-138 55 50 53 54
-139 56 57 58 53
-140 56 2 59 60
-141 45 3 61 62
-142 48 6 61 63
-143 51 63 9 64
-144 12 64 54 65
-145 66 57 15 65
-146 66 67 59 18
-147 67 68 4 21
-148 24 68 69 7
-149 69 70 27 10
-150 13 70 71 30
-151 33 16 71 72
-152 36 72 73 19
-153 22 39 73 74
-154 25 74 42 75
-155 46 28 75 76
-156 77 49 31 76
-157 77 34 78 52
-158 55 78 79 37
-159 79 58 80 40
-160 80 60 62 43
0

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