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On this page are computer-accessible forms for the graph C4[ 180, 49 ] = SDD({4,4}_6,3).

(I) Following is a form readable by MAGMA:

g:=Graph<180|{ {80, 124}, {83, 127}, {82, 126}, {81, 125}, {80, 125}, {82, 127}, {81, 126}, {68, 116}, {71, 119}, {69, 117}, {66, 115}, {73, 120}, {71, 118}, {64, 114}, {65, 115}, {69, 118}, {79, 124}, {75, 120}, {70, 117}, {77, 121}, {79, 123}, {78, 122}, {65, 116}, {78, 123}, {76, 121}, {67, 117}, {76, 122}, {67, 116}, {74, 119}, {72, 118}, {73, 119}, {39, 103}, {41, 105}, {38, 103}, {41, 104}, {36, 102}, {42, 104}, {37, 102}, {43, 104}, {60, 127}, {33, 101}, {35, 103}, {45, 105}, {46, 106}, {58, 126}, {32, 101}, {35, 102}, {44, 105}, {46, 107}, {47, 106}, {56, 125}, {32, 102}, {34, 101}, {50, 122}, {48, 121}, {57, 112}, {54, 124}, {59, 113}, {59, 112}, {60, 112}, {63, 115}, {61, 113}, {63, 114}, {38, 104}, {16, 95}, {62, 113}, {61, 114}, {40, 103}, {52, 123}, {15, 95}, {14, 95}, {39, 118}, {36, 117}, {12, 94}, {13, 94}, {45, 126}, {9, 93}, {40, 124}, {11, 95}, {44, 120}, {8, 93}, {33, 116}, {11, 94}, {58, 111}, {8, 94}, {43, 125}, {56, 110}, {57, 111}, {10, 93}, {47, 120}, {3, 91}, {34, 122}, {5, 93}, {52, 108}, {53, 109}, {55, 111}, {2, 91}, {5, 92}, {50, 107}, {55, 110}, {1, 91}, {6, 92}, {48, 106}, {49, 107}, {7, 92}, {53, 110}, {54, 109}, {1, 92}, {42, 119}, {49, 108}, {37, 123}, {51, 109}, {4, 91}, {51, 108}, {12, 109}, {15, 110}, {9, 108}, {21, 112}, {31, 121}, {3, 106}, {27, 114}, {24, 113}, {2, 105}, {6, 107}, {30, 115}, {14, 96}, {17, 97}, {17, 96}, {18, 96}, {19, 96}, {21, 97}, {23, 99}, {20, 97}, {23, 98}, {20, 98}, {22, 97}, {27, 99}, {29, 101}, {26, 99}, {29, 100}, {24, 98}, {30, 100}, {4, 127}, {31, 100}, {25, 98}, {18, 111}, {26, 100}, {28, 99}, {10, 138}, {33, 161}, {11, 139}, {40, 169}, {43, 170}, {8, 138}, {14, 140}, {8, 139}, {15, 140}, {14, 141}, {9, 138}, {27, 159}, {39, 163}, {34, 167}, {13, 139}, {36, 162}, {24, 158}, {45, 171}, {7, 128}, {23, 144}, {12, 139}, {11, 140}, {1, 137}, {21, 157}, {1, 136}, {44, 165}, {2, 136}, {26, 144}, {47, 165}, {3, 136}, {27, 144}, {26, 145}, {10, 129}, {4, 136}, {29, 145}, {28, 144}, {5, 137}, {37, 168}, {7, 137}, {31, 145}, {18, 156}, {42, 164}, {5, 138}, {30, 145}, {29, 146}, {13, 130}, {6, 137}, {9, 153}, {60, 172}, {58, 171}, {56, 170}, {16, 131}, {62, 173}, {22, 133}, {2, 150}, {15, 155}, {3, 151}, {50, 167}, {12, 154}, {25, 143}, {48, 166}, {19, 132}, {24, 143}, {22, 142}, {23, 143}, {20, 142}, {20, 143}, {28, 135}, {21, 142}, {16, 140}, {17, 141}, {52, 168}, {6, 152}, {19, 141}, {17, 142}, {63, 160}, {25, 134}, {18, 141}, {54, 169}, {16, 176}, {63, 159}, {62, 158}, {60, 157}, {13, 175}, {61, 159}, {19, 177}, {56, 155}, {61, 158}, {10, 174}, {22, 178}, {57, 157}, {57, 156}, {59, 158}, {58, 156}, {59, 157}, {48, 151}, {4, 172}, {28, 180}, {49, 153}, {49, 152}, {51, 154}, {7, 173}, {25, 179}, {50, 152}, {51, 153}, {55, 156}, {54, 154}, {55, 155}, {52, 153}, {53, 155}, {53, 154}, {34, 146}, {35, 147}, {32, 146}, {38, 148}, {32, 147}, {39, 148}, {38, 149}, {33, 146}, {37, 147}, {46, 152}, {35, 148}, {36, 147}, {47, 151}, {31, 166}, {46, 151}, {44, 150}, {45, 150}, {40, 148}, {41, 149}, {30, 160}, {62, 128}, {43, 149}, {41, 150}, {42, 149}, {66, 130}, {64, 129}, {70, 132}, {68, 131}, {77, 135}, {74, 134}, {75, 135}, {72, 133}, {83, 128}, {87, 132}, {84, 128}, {87, 131}, {86, 130}, {85, 129}, {84, 129}, {86, 131}, {85, 130}, {88, 132}, {90, 134}, {89, 133}, {88, 133}, {90, 135}, {64, 159}, {89, 134}, {65, 161}, {65, 160}, {67, 162}, {66, 160}, {67, 161}, {71, 164}, {70, 162}, {71, 163}, {68, 161}, {69, 163}, {87, 177}, {86, 176}, {79, 169}, {78, 168}, {69, 162}, {87, 176}, {79, 168}, {78, 167}, {90, 179}, {88, 177}, {76, 166}, {89, 179}, {88, 178}, {72, 163}, {89, 178}, {77, 166}, {76, 167}, {73, 165}, {66, 175}, {73, 164}, {64, 174}, {90, 180}, {75, 165}, {74, 164}, {68, 176}, {70, 177}, {74, 179}, {86, 175}, {84, 173}, {82, 171}, {80, 169}, {77, 180}, {72, 178}, {85, 175}, {84, 174}, {81, 171}, {80, 170}, {81, 170}, {85, 174}, {82, 172}, {83, 173}, {75, 180}, {83, 172} }>;

(II) A more general form is to represent the graph as the orbit of {80, 124} under the group generated by the following permutations:

a: (97, 142)
b: (122, 167)
c: (105, 150)
d: (119, 164)
e: (123, 168)
f: (92, 137)
g: (117, 162)
h: (113, 158)
m: (134, 179)
n1: (101, 146)
a1: (114, 159)
b1: (108, 153)
c1: (94, 139)
d1: (126, 171)
e1: (103, 148)
f1: (100, 145)
g1: (128, 173)
h1: (133, 178)
m1: (96, 141)
n2: (99, 144)
a2: (109, 154)
b2: (132, 177)
c2: (98, 143)
d2: (130, 175)
e2: (102, 147)
f2: (111, 156)
g2: (107, 152)
h2: (118, 163)
m2: (116, 161)
n3: (129, 174)
a3: (124, 169)
b3: (120, 165)
c3: (2, 5)(3, 7)(4, 6)(8, 41)(9, 45)(10, 44)(11, 38)(12, 43)(13, 42)(14, 35)(15, 40)(16, 39)(17, 32)(18, 37)(19, 36)(20, 29)(21, 34)(22, 33)(23, 26)(24, 31)(25, 30)(27, 28)(46, 83)(47, 84)(48, 62)(49, 82)(50, 60)(51, 81)(52, 58)(53, 80)(54, 56)(55, 79)(57, 78)(59, 76)(61, 77)(63, 90)(64, 75)(65, 89)(66, 74)(67, 88)(68, 72)(69, 87)(71, 86)(73, 85)(91, 92)(93, 105)(94, 104)(95, 103)(96, 102)(97, 101)(98, 100)(106, 128)(107, 127)(108, 126)(109, 125)(110, 124)(111, 123)(112, 122)(113, 121)(114, 135)(115, 134)(116, 133)(117, 132)(118, 131)(119, 130)(120, 129)(136, 137)(138, 150)(139, 149)(140, 148)(141, 147)(142, 146)(143, 145)(151, 173)(152, 172)(153, 171)(154, 170)(155, 169)(156, 168)(157, 167)(158, 166)(159, 180)(160, 179)(161, 178)(162, 177)(163, 176)(164, 175)(165, 174)
d3: (131, 176)
e3: (91, 136)
f3: (104, 149)
g3: (135, 180)
h3: (106, 151)
m3: (93, 138)
n4: (110, 155)
a4: (112, 157)
b4: (1, 3, 2, 4)(5, 48, 41, 60)(6, 47, 45, 83)(7, 46, 44, 82)(8, 31, 38, 21)(9, 77, 43, 59)(10, 76, 42, 57)(11, 30, 35, 22)(12, 26, 40, 20)(13, 29, 39, 17)(14, 66, 32, 72)(15, 63, 37, 89)(16, 65, 36, 88)(18, 85, 34, 71)(19, 86, 33, 69)(23, 54)(24, 51, 28, 80)(25, 53, 27, 79)(49, 75, 81, 62)(50, 73, 58, 84)(52, 90, 56, 61)(55, 64, 78, 74)(67, 70, 87, 68)(92, 106, 105, 127)(93, 121, 104, 112)(94, 100, 103, 97)(95, 115, 102, 133)(96, 130, 101, 118)(98, 109, 99, 124)(107, 120, 126, 128)(108, 135, 125, 113)(110, 114, 123, 134)(111, 129, 122, 119)(116, 117, 132, 131)(137, 151, 150, 172)(138, 166, 149, 157)(139, 145, 148, 142)(140, 160, 147, 178)(141, 175, 146, 163)(143, 154, 144, 169)(152, 165, 171, 173)(153, 180, 170, 158)(155, 159, 168, 179)(156, 174, 167, 164)(161, 162, 177, 176)
c4: (95, 140)
d4: (121, 166)
e4: (1, 2, 41, 38, 35, 32, 29, 26, 23, 20, 17, 14, 11, 8, 5)(3, 44, 42, 39, 36, 33, 30, 27, 24, 21, 18, 15, 12, 9, 6)(4, 45, 43, 40, 37, 34, 31, 28, 25, 22, 19, 16, 13, 10, 7)(46, 47, 73, 71, 69, 67, 65, 63, 61, 59, 57, 55, 53, 51, 49)(48, 75, 74, 72, 70, 68, 66, 64, 62, 60, 58, 56, 54, 52, 50)(76, 77, 90, 89, 88, 87, 86, 85, 84, 83, 82, 81, 80, 79, 78)(91, 105, 104, 103, 102, 101, 100, 99, 98, 97, 96, 95, 94, 93, 92)(106, 120, 119, 118, 117, 116, 115, 114, 113, 112, 111, 110, 109, 108, 107)(121, 135, 134, 133, 132, 131, 130, 129, 128, 127, 126, 125, 124, 123, 122)(136, 150, 149, 148, 147, 146, 145, 144, 143, 142, 141, 140, 139, 138, 137)(151, 165, 164, 163, 162, 161, 160, 159, 158, 157, 156, 155, 154, 153, 152)(166, 180, 179, 178, 177, 176, 175, 174, 173, 172, 171, 170, 169, 168, 167)
f4: (127, 172)
g4: (125, 170)

(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[ 180, 49 ]
180
-1 91 92 136 137
-2 91 136 105 150
-3 91 136 106 151
-4 91 136 127 172
-5 92 93 137 138
-6 92 137 107 152
-7 92 137 128 173
-8 93 94 138 139
-9 93 138 108 153
-10 93 138 129 174
-11 94 95 139 140
-12 154 94 139 109
-13 94 139 130 175
-14 95 96 140 141
-15 110 155 95 140
-16 176 95 140 131
-17 96 97 141 142
-18 111 156 96 141
-19 132 177 96 141
-20 143 97 98 142
-21 112 157 97 142
-22 133 178 97 142
-23 99 143 144 98
-24 143 113 158 98
-25 143 134 179 98
-26 99 100 144 145
-27 99 144 114 159
-28 99 144 135 180
-29 100 101 145 146
-30 100 145 115 160
-31 121 100 166 145
-32 101 102 146 147
-33 101 146 116 161
-34 122 101 167 146
-35 102 103 147 148
-36 102 147 117 162
-37 123 102 168 147
-38 103 104 148 149
-39 103 148 118 163
-40 124 103 169 148
-41 104 105 149 150
-42 104 149 119 164
-43 125 104 170 149
-44 165 105 150 120
-45 126 105 171 150
-46 106 107 151 152
-47 165 106 151 120
-48 121 166 106 151
-49 107 108 152 153
-50 122 167 107 152
-51 154 108 109 153
-52 123 168 108 153
-53 110 154 155 109
-54 154 124 169 109
-55 110 111 155 156
-56 110 155 125 170
-57 111 112 156 157
-58 111 156 126 171
-59 112 113 157 158
-60 112 157 127 172
-61 113 114 158 159
-62 113 158 128 173
-63 114 115 159 160
-64 114 159 129 174
-65 115 116 160 161
-66 115 160 130 175
-67 116 117 161 162
-68 176 116 161 131
-69 117 118 162 163
-70 132 177 117 162
-71 118 119 163 164
-72 133 178 118 163
-73 165 119 120 164
-74 134 179 119 164
-75 165 135 180 120
-76 121 122 166 167
-77 121 166 135 180
-78 122 123 167 168
-79 123 124 168 169
-80 124 125 169 170
-81 125 126 170 171
-82 126 127 171 172
-83 127 128 172 173
-84 128 129 173 174
-85 129 130 174 175
-86 176 130 131 175
-87 132 176 177 131
-88 132 133 177 178
-89 133 134 178 179
-90 134 135 179 180
-91 1 2 3 4
-92 1 5 6 7
-93 5 8 9 10
-94 11 12 13 8
-95 11 14 15 16
-96 14 17 18 19
-97 22 17 20 21
-98 23 24 25 20
-99 23 26 27 28
-100 26 29 30 31
-101 33 34 29 32
-102 35 36 37 32
-103 35 38 39 40
-104 38 41 42 43
-105 44 45 2 41
-106 46 3 47 48
-107 46 49 6 50
-108 49 51 52 9
-109 12 51 53 54
-110 55 56 15 53
-111 55 57 58 18
-112 57 59 60 21
-113 24 59 61 62
-114 27 61 63 64
-115 66 30 63 65
-116 33 67 68 65
-117 67 36 69 70
-118 69 71 39 72
-119 71 73 74 42
-120 44 47 73 75
-121 77 48 31 76
-122 34 78 50 76
-123 78 79 37 52
-124 79 80 40 54
-125 56 80 81 43
-126 45 58 81 82
-127 4 60 82 83
-128 83 7 62 84
-129 84 85 64 10
-130 66 13 85 86
-131 68 16 86 87
-132 88 70 19 87
-133 22 88 89 72
-134 89 90 25 74
-135 77 90 28 75
-136 1 2 3 4
-137 1 5 6 7
-138 5 8 9 10
-139 11 12 13 8
-140 11 14 15 16
-141 14 17 18 19
-142 22 17 20 21
-143 23 24 25 20
-144 23 26 27 28
-145 26 29 30 31
-146 33 34 29 32
-147 35 36 37 32
-148 35 38 39 40
-149 38 41 42 43
-150 44 45 2 41
-151 46 3 47 48
-152 46 49 6 50
-153 49 51 52 9
-154 12 51 53 54
-155 55 56 15 53
-156 55 57 58 18
-157 57 59 60 21
-158 24 59 61 62
-159 27 61 63 64
-160 66 30 63 65
-161 33 67 68 65
-162 67 36 69 70
-163 69 71 39 72
-164 71 73 74 42
-165 44 47 73 75
-166 77 48 31 76
-167 34 78 50 76
-168 78 79 37 52
-169 79 80 40 54
-170 56 80 81 43
-171 45 58 81 82
-172 4 60 82 83
-173 83 7 62 84
-174 84 85 64 10
-175 66 13 85 86
-176 68 16 86 87
-177 88 70 19 87
-178 22 88 89 72
-179 89 90 25 74
-180 77 90 28 75
0

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