Graph forms
for C4 [ 192, 130 ] = SDD(PX(6,3))
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On this page are computer-accessible forms for the graph C4[ 192, 130 ] =
SDD(PX(6,3)).
(I) Following is a form readable by MAGMA:
g:=Graph<192|{ {96, 127}, {67, 99}, {72, 105}, {82, 115}, {77, 108}, {90, 121},
{89, 125}, {80, 118}, {78, 105}, {66, 106}, {94, 118}, {78, 102}, {67, 107},
{70, 110}, {77, 101}, {78, 100}, {67, 104}, {67, 111}, {85, 121}, {89, 116},
{94, 112}, {78, 97}, {86, 103}, {71, 117}, {90, 104}, {87, 101}, {72, 122}, {76,
127}, {86, 98}, {87, 99}, {87, 98}, {66, 116}, {90, 108}, {87, 97}, {86, 110},
{66, 123}, {94, 103}, {71, 126}, {77, 119}, {94, 100}, {70, 125}, {72, 115},
{76, 112}, {86, 106}, {77, 113}, {82, 109}, {62, 126}, {53, 113}, {54, 114},
{50, 120}, {39, 107}, {59, 119}, {54, 120}, {54, 102}, {62, 111}, {39, 117},
{47, 122}, {39, 124}, {54, 109}, {38, 123}, {1, 97}, {11, 107}, {10, 106}, {9,
105}, {8, 104}, {3, 98}, {16, 113}, {14, 111}, {12, 109}, {7, 102}, {5, 100},
{1, 99}, {25, 123}, {24, 122}, {21, 119}, {20, 118}, {5, 103}, {1, 98}, {17,
114}, {13, 110}, {6, 101}, {2, 97}, {1, 101}, {27, 127}, {8, 108}, {3, 103}, {2,
102}, {2, 100}, {26, 124}, {19, 117}, {18, 116}, {4, 99}, {26, 114}, {3, 106},
{6, 108}, {7, 109}, {2, 105}, {4, 111}, {4, 104}, {3, 110}, {19, 126}, {17,
124}, {22, 120}, {23, 121}, {4, 107}, {18, 125}, {13, 125}, {15, 127}, {14,
126}, {6, 119}, {10, 123}, {8, 121}, {5, 118}, {9, 122}, {5, 112}, {7, 114}, {6,
113}, {11, 124}, {9, 115}, {10, 116}, {11, 117}, {7, 120}, {15, 112}, {12, 115},
{17, 145}, {37, 165}, {33, 161}, {32, 160}, {31, 159}, {30, 158}, {51, 179},
{61, 189}, {35, 162}, {37, 164}, {35, 161}, {48, 178}, {51, 177}, {56, 186},
{32, 163}, {38, 165}, {33, 162}, {44, 175}, {61, 190}, {36, 160}, {18, 151},
{44, 169}, {27, 158}, {24, 157}, {57, 188}, {61, 184}, {63, 186}, {69, 192},
{14, 136}, {16, 150}, {15, 137}, {36, 163}, {49, 185}, {56, 176}, {57, 177},
{25, 144}, {41, 160}, {58, 179}, {8, 130}, {13, 135}, {12, 134}, {9, 131}, {19,
152}, {42, 161}, {31, 148}, {26, 145}, {23, 156}, {22, 154}, {43, 167}, {34,
174}, {49, 189}, {55, 187}, {20, 153}, {43, 166}, {22, 155}, {10, 132}, {24,
150}, {11, 133}, {21, 154}, {79, 192}, {63, 176}, {16, 128}, {40, 184}, {29,
141}, {28, 140}, {27, 139}, {17, 129}, {52, 164}, {56, 168}, {60, 172}, {48,
161}, {52, 165}, {60, 173}, {61, 172}, {59, 169}, {25, 138}, {58, 169}, {84,
192}, {27, 142}, {34, 183}, {55, 162}, {58, 175}, {24, 143}, {57, 174}, {63,
168}, {42, 178}, {55, 175}, {21, 140}, {23, 142}, {14, 148}, {16, 138}, {15,
149}, {49, 171}, {22, 141}, {26, 129}, {56, 163}, {28, 128}, {92, 192}, {31,
131}, {30, 130}, {29, 129}, {63, 163}, {41, 180}, {45, 176}, {46, 179}, {55,
170}, {57, 164}, {12, 146}, {43, 181}, {40, 182}, {13, 147}, {20, 139}, {44,
179}, {46, 177}, {36, 132}, {47, 143}, {48, 145}, {59, 154}, {39, 133}, {53,
150}, {32, 132}, {35, 135}, {34, 134}, {33, 133}, {33, 135}, {35, 133}, {51,
149}, {40, 143}, {30, 182}, {32, 136}, {50, 154}, {51, 155}, {28, 181}, {48,
153}, {49, 152}, {50, 155}, {52, 157}, {58, 147}, {62, 148}, {36, 136}, {38,
138}, {37, 137}, {45, 131}, {31, 176}, {29, 173}, {29, 172}, {60, 141}, {45,
159}, {47, 157}, {30, 173}, {42, 153}, {18, 166}, {19, 167}, {34, 151}, {41,
156}, {46, 155}, {53, 128}, {38, 144}, {62, 136}, {28, 171}, {40, 159}, {59,
140}, {37, 157}, {41, 144}, {43, 146}, {45, 148}, {47, 150}, {42, 145}, {46,
149}, {20, 168}, {25, 165}, {21, 169}, {23, 170}, {52, 137}, {60, 129}, {44,
147}, {50, 141}, {53, 138}, {82, 146}, {70, 135}, {91, 152}, {76, 137}, {66,
132}, {88, 158}, {73, 143}, {80, 153}, {85, 156}, {93, 151}, {72, 131}, {95,
146}, {89, 151}, {65, 144}, {81, 128}, {82, 134}, {70, 147}, {73, 159}, {90,
130}, {76, 149}, {88, 130}, {80, 139}, {93, 134}, {85, 142}, {65, 156}, {81,
140}, {71, 152}, {71, 167}, {92, 188}, {84, 180}, {65, 160}, {64, 162}, {92,
190}, {91, 185}, {92, 191}, {81, 181}, {75, 174}, {91, 189}, {64, 170}, {95,
181}, {93, 183}, {83, 184}, {96, 139}, {83, 190}, {84, 185}, {83, 189}, {96,
142}, {88, 182}, {64, 175}, {84, 187}, {75, 164}, {74, 186}, {91, 171}, {79,
191}, {69, 180}, {79, 190}, {73, 184}, {68, 183}, {93, 174}, {79, 188}, {65,
180}, {88, 173}, {74, 191}, {68, 178}, {75, 188}, {74, 178}, {95, 167}, {80,
168}, {95, 166}, {75, 177}, {81, 171}, {64, 187}, {68, 191}, {69, 185}, {74,
183}, {68, 186}, {96, 158}, {69, 187}, {73, 182}, {89, 166}, {85, 170}, {83,
172} }>;
(II) A more general form is to represent the graph as the orbit of {96, 127}
under the group generated by the following permutations:
a: (57, 75) (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 **************
b: (16, 53)
c: (37, 52)
d: (44, 58)
e: (2, 3)(7, 10)(9, 13)(11, 14)(12, 18)(16, 21)(17, 32)(22, 25)(23, 30)(24,
44)(26, 36)(29, 41)(31, 33)(35, 45)(37, 46)(38, 50)(39, 62)(40, 55)(42, 56)(47,
58)(48, 63)(51, 52)(53, 59)(54, 66)(60, 65)(61, 69)(64, 73)(70, 72)(78, 86)(82,
89)(83, 84)(85, 88)(97, 98)(100, 103)(102, 106)(105, 110)(107, 111)(109,
116)(113, 119)(114, 132)(115, 125)(117, 126)(120, 123)(121, 130)(122, 147)(124,
136)(128, 140)(129, 160)(131, 135)(133, 148)(134, 151)(137, 149)(138, 154)(141,
144)(142, 158)(143, 175)(145, 163)(146, 166)(150, 169)(153, 168)(155, 165)(156,
173)(157, 179)(159, 162)(161, 176)(164, 177)(170, 182)(172, 180)(178, 186)(184,
187)(185, 189)(190, 192)
f: (68, 74)
g: (2, 78)
h: (8, 90)
m: (43, 95)
n1: (6, 77)
a1: (9, 72)
b1: (22, 50)
c1: (23, 85)
d1: (17, 26)
e1: (69, 84)
f1: (32, 36)
g1: (14, 62)
h1: (5, 94)
m1: (28, 81)
n2: (25, 38)
a2: (10, 66)
b2: (79, 92)
c2: (42, 48)
d2: (20, 80)
e2: (61, 83)
f2: (24, 47)
g2: (31, 45)
h2: (34, 93)
m2: (4, 6)(11, 21)(14, 16)(15, 20)(17, 22)(19, 28)(24, 31)(25, 32)(26, 50)(33,
44)(35, 58)(36, 38)(37, 56)(39, 59)(42, 46)(45, 47)(48, 51)(52, 63)(53, 62)(57,
68)(67, 77)(71, 81)(74, 75)(76, 80)(99, 101)(104, 108)(107, 119)(111, 113)(112,
118)(114, 120)(117, 140)(122, 131)(123, 132)(124, 154)(126, 128)(127, 139)(129,
141)(133, 169)(135, 147)(136, 138)(137, 168)(143, 159)(144, 160)(145, 155)(148,
150)(149, 153)(152, 171)(157, 176)(161, 179)(162, 175)(163, 165)(164, 186)(167,
181)(174, 183)(177, 178)(188, 191)
n3: (7, 54)
a3: (3, 86)
b3: (56, 63)
c3: (7, 9)(10, 13)(11, 14)(16, 21)(17, 31)(22, 24)(25, 44)(26, 45)(29, 40)(32,
33)(35, 36)(37, 46)(38, 58)(39, 62)(41, 55)(42, 56)(47, 50)(48, 63)(51, 52)(53,
59)(54, 72)(60, 73)(64, 65)(66, 70)(102, 105)(106, 110)(107, 111)(109, 115)(113,
119)(114, 131)(116, 125)(117, 126)(120, 122)(123, 147)(124, 148)(128, 140)(129,
159)(132, 135)(133, 136)(137, 149)(138, 169)(141, 143)(144, 175)(145, 176)(150,
154)(153, 168)(155, 157)(156, 170)(160, 162)(161, 163)(164, 177)(165, 179)(172,
184)(173, 182)(178, 186)(180, 187)
d3: (27, 96)
e3: (40, 73)
f3: (30, 88)
g3: (55, 64)
h3: (1, 2)(3, 5)(4, 7)(6, 9)(8, 12)(10, 15)(11, 17)(13, 20)(14, 22)(16, 24)(18,
27)(19, 29)(21, 31)(23, 34)(25, 37)(26, 39)(28, 40)(30, 43)(32, 46)(33, 42)(35,
48)(36, 51)(38, 52)(41, 57)(44, 56)(45, 59)(47, 53)(49, 61)(50, 62)(54, 67)(55,
68)(58, 63)(60, 71)(64, 74)(65, 75)(66, 76)(69, 79)(70, 80)(72, 77)(73, 81)(78,
87)(82, 90)(83, 91)(84, 92)(85, 93)(86, 94)(88, 95)(89, 96)(98, 100)(99,
102)(101, 105)(104, 109)(106, 112)(107, 114)(108, 115)(110, 118)(111, 120)(113,
122)(116, 127)(117, 129)(119, 131)(121, 134)(123, 137)(125, 139)(126, 141)(128,
143)(130, 146)(132, 149)(133, 145)(135, 153)(136, 155)(138, 157)(140, 159)(142,
151)(144, 164)(147, 168)(148, 154)(152, 172)(156, 174)(158, 166)(160, 177)(162,
178)(163, 179)(167, 173)(169, 176)(170, 183)(171, 184)(175, 186)(180, 188)(181,
182)(185, 190)(187, 191)
m3: (4, 67)
n4: (21, 59)
a4: (11, 39)
b4: (19, 71)
c4: (49, 91)
d4: (18, 89)
e4: (46, 51)
f4: (33, 35)
g4: (2, 6, 3, 4)(5, 8)(7, 16, 13, 14)(9, 21, 10, 11)(12, 28, 18, 19)(15, 23, 20,
30)(17, 24, 44, 32)(22, 25, 33, 31)(26, 47, 58, 36)(29, 37, 55, 56)(34, 49)(35,
45, 50, 38)(39, 72, 59, 66)(40, 46, 41, 42)(48, 73, 51, 65)(52, 64, 63, 60)(53,
70, 62, 54)(57, 69, 68, 61)(67, 78, 77, 86)(71, 82, 81, 89)(74, 83, 75, 84)(76,
85, 80, 88)(90, 94)(91, 93)(97, 101, 98, 99)(100, 108, 103, 104)(102, 113, 110,
111)(105, 119, 106, 107)(109, 128, 125, 126)(112, 121, 118, 130)(114, 150, 147,
136)(115, 140, 116, 117)(120, 138, 135, 148)(122, 169, 132, 124)(123, 133, 131,
154)(127, 142, 139, 158)(129, 157, 175, 163)(134, 171, 151, 152)(137, 170, 168,
173)(141, 165, 162, 176)(143, 179, 160, 145)(144, 161, 159, 155)(146, 181, 166,
167)(149, 156, 153, 182)(164, 187, 186, 172)(174, 185, 183, 189)(177, 180, 178,
184)(188, 192, 191, 190)
h4: (12, 82)
m4: (13, 70)
n5: (41, 65)
C4[ 192, 130 ]
192
-1 99 101 97 98
-2 100 102 105 97
-3 110 103 106 98
-4 99 111 104 107
-5 100 112 103 118
-6 101 113 108 119
-7 102 114 109 120
-8 121 104 108 130
-9 122 115 105 131
-10 132 123 116 106
-11 133 124 117 107
-12 134 146 115 109
-13 110 135 125 147
-14 111 136 126 148
-15 112 137 127 149
-16 113 138 128 150
-17 145 124 114 129
-18 166 125 116 151
-19 167 126 117 152
-20 168 139 118 153
-21 154 169 140 119
-22 154 155 141 120
-23 121 156 170 142
-24 143 122 157 150
-25 165 144 123 138
-26 145 124 114 129
-27 158 127 139 142
-28 181 171 128 140
-29 172 129 173 141
-30 158 182 173 130
-31 176 148 159 131
-32 132 136 160 163
-33 133 135 161 162
-34 134 183 151 174
-35 133 135 161 162
-36 132 136 160 163
-37 165 157 137 164
-38 165 144 123 138
-39 133 124 117 107
-40 143 159 182 184
-41 144 156 180 160
-42 145 178 161 153
-43 166 167 146 181
-44 179 147 169 175
-45 176 148 159 131
-46 155 177 179 149
-47 143 122 157 150
-48 145 178 161 153
-49 189 171 152 185
-50 154 155 141 120
-51 155 177 179 149
-52 165 157 137 164
-53 113 138 128 150
-54 102 114 109 120
-55 187 170 162 175
-56 176 168 163 186
-57 177 188 174 164
-58 179 147 169 175
-59 154 169 140 119
-60 172 129 173 141
-61 189 190 172 184
-62 111 136 126 148
-63 176 168 163 186
-64 187 170 162 175
-65 144 156 180 160
-66 132 123 116 106
-67 99 111 104 107
-68 178 191 183 186
-69 187 180 192 185
-70 110 135 125 147
-71 167 126 117 152
-72 122 115 105 131
-73 143 159 182 184
-74 178 191 183 186
-75 177 188 174 164
-76 112 137 127 149
-77 101 113 108 119
-78 100 102 105 97
-79 188 190 191 192
-80 168 139 118 153
-81 181 171 128 140
-82 134 146 115 109
-83 189 190 172 184
-84 187 180 192 185
-85 121 156 170 142
-86 110 103 106 98
-87 99 101 97 98
-88 158 182 173 130
-89 166 125 116 151
-90 121 104 108 130
-91 189 171 152 185
-92 188 190 191 192
-93 134 183 151 174
-94 100 112 103 118
-95 166 167 146 181
-96 158 127 139 142
-97 1 78 2 87
-98 1 3 86 87
-99 1 67 4 87
-100 78 2 5 94
-101 77 1 6 87
-102 78 2 7 54
-103 3 5 94 86
-104 67 90 4 8
-105 78 2 72 9
-106 66 3 86 10
-107 11 67 4 39
-108 77 90 6 8
-109 12 82 7 54
-110 13 3 70 86
-111 67 14 4 62
-112 15 5 94 76
-113 77 16 6 53
-114 26 17 7 54
-115 12 82 72 9
-116 66 89 18 10
-117 11 71 39 19
-118 80 5 94 20
-119 77 59 6 21
-120 22 50 7 54
-121 23 90 8 85
-122 24 47 72 9
-123 66 25 38 10
-124 11 26 17 39
-125 89 13 70 18
-126 14 71 62 19
-127 15 27 96 76
-128 81 16 28 53
-129 26 60 17 29
-130 88 90 8 30
-131 45 72 9 31
-132 66 36 10 32
-133 11 33 35 39
-134 12 34 82 93
-135 33 13 35 70
-136 14 36 62 32
-137 15 37 52 76
-138 25 16 38 53
-139 80 27 96 20
-140 59 81 28 21
-141 22 60 50 29
-142 23 27 85 96
-143 24 47 40 73
-144 25 38 41 65
-145 26 48 17 42
-146 12 82 95 43
-147 44 13 58 70
-148 45 14 62 31
-149 46 15 51 76
-150 24 47 16 53
-151 34 89 93 18
-152 91 49 71 19
-153 80 48 20 42
-154 22 59 50 21
-155 22 46 50 51
-156 23 41 85 65
-157 24 47 37 52
-158 88 27 30 96
-159 45 40 73 31
-160 36 41 32 65
-161 33 35 48 42
-162 33 55 35 64
-163 56 36 63 32
-164 57 37 52 75
-165 25 37 38 52
-166 89 18 95 43
-167 71 95 19 43
-168 56 80 63 20
-169 44 58 59 21
-170 55 23 85 64
-171 91 81 49 28
-172 60 61 83 29
-173 88 60 29 30
-174 34 57 93 75
-175 44 55 58 64
-176 45 56 63 31
-177 46 57 51 75
-178 68 48 74 42
-179 44 46 58 51
-180 69 84 41 65
-181 81 28 95 43
-182 88 40 73 30
-183 34 68 93 74
-184 61 83 40 73
-185 69 91 49 84
-186 56 68 63 74
-187 55 69 84 64
-188 57 79 92 75
-189 91 49 61 83
-190 79 92 61 83
-191 68 79 92 74
-192 79 69 92 84
0