Graph forms
for C4 [ 192, 155 ] = SDD(KE_12(1,7,4,9,1))
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On this page are computer-accessible forms for the graph C4[ 192, 155 ] =
SDD(KE_12(1,7,4,9,1)).
(I) Following is a form readable by MAGMA:
g:=Graph<192|{ {72, 120}, {79, 127}, {78, 126}, {73, 121}, {74, 122}, {75, 123},
{76, 124}, {77, 125}, {69, 119}, {68, 119}, {66, 118}, {67, 119}, {64, 118},
{65, 118}, {67, 123}, {64, 122}, {70, 124}, {70, 120}, {71, 120}, {48, 112},
{49, 113}, {45, 111}, {51, 113}, {44, 111}, {50, 113}, {42, 110}, {43, 111},
{54, 114}, {55, 115}, {61, 121}, {40, 110}, {52, 114}, {41, 110}, {53, 114},
{36, 108}, {37, 109}, {55, 127}, {60, 116}, {61, 117}, {34, 107}, {33, 107},
{39, 109}, {52, 126}, {57, 115}, {63, 117}, {32, 107}, {38, 109}, {56, 115},
{62, 117}, {32, 108}, {49, 125}, {58, 116}, {35, 108}, {59, 116}, {43, 123},
{33, 112}, {35, 113}, {46, 124}, {40, 122}, {44, 127}, {41, 126}, {38, 125},
{37, 121}, {46, 112}, {47, 112}, {1, 97}, {3, 97}, {1, 98}, {2, 97}, {6, 98},
{4, 97}, {18, 119}, {7, 98}, {5, 99}, {5, 98}, {12, 100}, {14, 102}, {10, 99},
{22, 127}, {13, 100}, {9, 99}, {15, 101}, {8, 99}, {14, 101}, {8, 100}, {16,
125}, {21, 120}, {19, 126}, {2, 108}, {11, 101}, {11, 100}, {24, 104}, {26,
106}, {3, 114}, {30, 111}, {25, 104}, {22, 103}, {13, 124}, {10, 123}, {21,
103}, {27, 105}, {20, 103}, {26, 105}, {18, 102}, {30, 106}, {6, 115}, {31,
106}, {28, 105}, {27, 110}, {24, 109}, {19, 102}, {16, 101}, {17, 103}, {29,
107}, {17, 102}, {29, 106}, {12, 117}, {15, 118}, {20, 104}, {4, 121}, {9, 116},
{7, 122}, {23, 105}, {23, 104}, {24, 152}, {43, 171}, {26, 154}, {22, 151}, {33,
160}, {30, 159}, {25, 152}, {54, 183}, {57, 184}, {21, 151}, {46, 172}, {40,
170}, {35, 161}, {27, 153}, {20, 151}, {44, 175}, {26, 153}, {50, 177}, {18,
150}, {30, 154}, {16, 149}, {48, 181}, {31, 154}, {28, 153}, {27, 158}, {24,
157}, {19, 150}, {51, 182}, {60, 185}, {63, 186}, {17, 151}, {29, 155}, {17,
150}, {41, 174}, {29, 154}, {53, 178}, {58, 176}, {38, 173}, {56, 179}, {20,
152}, {37, 169}, {23, 153}, {46, 160}, {23, 152}, {47, 160}, {59, 180}, {62,
177}, {1, 145}, {49, 161}, {48, 160}, {36, 180}, {34, 179}, {3, 145}, {51, 161},
{1, 146}, {2, 145}, {50, 161}, {6, 146}, {84, 192}, {54, 162}, {55, 163}, {61,
169}, {4, 145}, {42, 191}, {7, 146}, {5, 147}, {86, 192}, {52, 162}, {5, 146},
{53, 162}, {12, 148}, {14, 150}, {55, 175}, {60, 164}, {61, 165}, {10, 147},
{39, 190}, {25, 128}, {13, 148}, {9, 147}, {15, 149}, {52, 174}, {57, 163}, {63,
165}, {8, 147}, {14, 149}, {56, 163}, {62, 165}, {8, 148}, {49, 173}, {28, 129},
{31, 130}, {2, 156}, {11, 149}, {58, 164}, {11, 148}, {47, 176}, {59, 164}, {36,
132}, {96, 192}, {3, 162}, {34, 131}, {13, 172}, {10, 171}, {6, 163}, {42, 143},
{12, 165}, {39, 142}, {25, 176}, {15, 166}, {4, 169}, {31, 178}, {28, 177}, {9,
164}, {7, 170}, {47, 128}, {54, 135}, {57, 136}, {45, 159}, {44, 159}, {50,
129}, {42, 158}, {43, 159}, {18, 167}, {48, 133}, {51, 134}, {60, 137}, {63,
138}, {40, 158}, {41, 158}, {53, 130}, {36, 156}, {37, 157}, {22, 175}, {34,
155}, {33, 155}, {39, 157}, {58, 128}, {32, 155}, {38, 157}, {56, 131}, {32,
156}, {16, 173}, {45, 144}, {21, 168}, {19, 174}, {35, 156}, {59, 132}, {62,
129}, {65, 130}, {71, 132}, {76, 136}, {84, 144}, {79, 139}, {78, 138}, {77,
137}, {72, 141}, {86, 144}, {68, 131}, {66, 139}, {69, 140}, {73, 133}, {74,
134}, {75, 135}, {80, 128}, {95, 143}, {94, 142}, {93, 141}, {92, 140}, {91,
139}, {90, 138}, {89, 137}, {88, 136}, {87, 135}, {85, 133}, {84, 132}, {83,
131}, {82, 130}, {81, 129}, {87, 134}, {95, 142}, {93, 140}, {91, 138}, {89,
136}, {85, 134}, {94, 141}, {90, 137}, {86, 133}, {92, 139}, {80, 140}, {83,
143}, {82, 142}, {81, 141}, {88, 135}, {96, 191}, {72, 168}, {95, 191}, {94,
190}, {93, 189}, {92, 188}, {91, 187}, {90, 186}, {89, 185}, {88, 184}, {87,
183}, {85, 181}, {84, 180}, {83, 179}, {82, 178}, {81, 177}, {80, 176}, {79,
175}, {78, 174}, {73, 169}, {74, 170}, {75, 171}, {76, 172}, {77, 173}, {87,
182}, {95, 190}, {93, 188}, {91, 186}, {89, 184}, {69, 167}, {68, 167}, {94,
189}, {90, 185}, {86, 181}, {85, 182}, {66, 166}, {67, 167}, {64, 166}, {65,
166}, {92, 187}, {67, 171}, {64, 170}, {70, 172}, {80, 188}, {83, 191}, {82,
190}, {81, 189}, {45, 192}, {70, 168}, {71, 168}, {96, 143}, {88, 183}, {96,
144}, {65, 178}, {71, 180}, {76, 184}, {79, 187}, {78, 186}, {77, 185}, {72,
189}, {68, 179}, {66, 187}, {69, 188}, {73, 181}, {74, 182}, {75, 183} }>;
(II) A more general form is to represent the graph as the orbit of {72, 120}
under the group generated by the following permutations:
a: (139, 187) (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: (118, 166)
c: (104, 152)
d: (112, 160)
e: (124, 172)
f: (98, 146)
g: (100, 148)
h: (142, 190)
m: (143, 191)
n1: (132, 180)
a1: (109, 157)
b1: (135, 183)
c1: (141, 189)
d1: (136, 184)
e1: (133, 181)
f1: (129, 177)
g1: (106, 154)
h1: (111, 159)
m1: (128, 176)
n2: (101, 149)
a2: (127, 175)
b2: (1, 2, 32, 29, 26, 23, 20, 17, 14, 11, 8, 5)(3, 35, 33, 30, 27, 24, 21, 18,
15, 12, 9, 6)(4, 36, 34, 31, 28, 25, 22, 19, 16, 13, 10, 7)(37, 71, 68, 65, 62,
58, 55, 52, 49, 46, 43, 40)(38, 70, 67, 64, 61, 59, 56, 53, 50, 47, 44, 41)(39,
72, 69, 66, 63, 60, 57, 54, 51, 48, 45, 42)(73, 84, 83, 82, 81, 80, 79, 78, 77,
76, 75, 74)(85, 86, 96, 95, 94, 93, 92, 91, 90, 89, 88, 87)(97, 108, 107, 106,
105, 104, 103, 102, 101, 100, 99, 98)(109, 120, 119, 118, 117, 116, 115, 114,
113, 112, 111, 110)(121, 132, 131, 130, 129, 128, 127, 126, 125, 124, 123,
122)(133, 144, 143, 142, 141, 140, 139, 138, 137, 136, 135, 134)(145, 156, 155,
154, 153, 152, 151, 150, 149, 148, 147, 146)(157, 168, 167, 166, 165, 164, 163,
162, 161, 160, 159, 158)(169, 180, 179, 178, 177, 176, 175, 174, 173, 172, 171,
170)(181, 192, 191, 190, 189, 188, 187, 186, 185, 184, 183, 182)
c2: (122, 170)
d2: (126, 174)
e2: (115, 163)
f2: (134, 182)
g2: (99, 147)
h2: (114, 162)
m2: (121, 169)
n3: (140, 188)
a3: (137, 185)
b3: (113, 161)
c3: (131, 179)
d3: (108, 156)
e3: (103, 151)
f3: (125, 173)
g3: (107, 155)
h3: (130, 178)
m3: (119, 167)
n4: (123, 171)
a4: (97, 145)
b4: (2, 5)(3, 7)(4, 6)(8, 32)(9, 36)(10, 35)(11, 29)(12, 34)(13, 33)(14, 26)(15,
31)(16, 30)(17, 23)(18, 28)(19, 27)(21, 25)(22, 24)(37, 55)(38, 44)(39, 79)(40,
52)(42, 78)(43, 49)(45, 77)(47, 70)(48, 76)(50, 67)(51, 75)(53, 64)(54, 74)(56,
61)(57, 73)(58, 71)(60, 84)(62, 68)(63, 83)(66, 82)(69, 81)(72, 80)(85, 88)(86,
89)(90, 96)(91, 95)(92, 94)(97, 98)(99, 108)(100, 107)(101, 106)(102, 105)(103,
104)(109, 127)(110, 126)(111, 125)(112, 124)(113, 123)(114, 122)(115, 121)(116,
132)(117, 131)(118, 130)(119, 129)(120, 128)(133, 136)(134, 135)(137, 144)(138,
143)(139, 142)(140, 141)(145, 146)(147, 156)(148, 155)(149, 154)(150, 153)(151,
152)(157, 175)(158, 174)(159, 173)(160, 172)(161, 171)(162, 170)(163, 169)(164,
180)(165, 179)(166, 178)(167, 177)(168, 176)(181, 184)(182, 183)(185, 192)(186,
191)(187, 190)(188, 189)
c4: (1, 3, 54, 87, 74, 7)(2, 53, 75, 85, 40, 6)(4, 52, 88, 51, 64, 5)(8, 61, 78,
89, 49, 15)(9, 37, 19, 76, 50, 66)(10, 73, 41, 57, 35, 65)(11, 12, 63, 90, 77,
16)(13, 62, 91, 60, 38, 14)(17, 70, 81, 92, 58, 24)(18, 46, 28, 79, 59, 39)(20,
21, 72, 93, 80, 25)(22, 71, 94, 69, 47, 23)(26, 44, 84, 95, 68, 33)(27, 55, 36,
82, 67, 48)(29, 30, 45, 96, 83, 34)(31, 43, 86, 42, 56, 32)(97, 114, 135, 134,
122, 98)(99, 121, 126, 136, 113, 118)(100, 117, 138, 137, 125, 101)(102, 124,
129, 139, 116, 109)(103, 120, 141, 140, 128, 104)(105, 127, 132, 142, 119,
112)(106, 111, 144, 143, 131, 107)(108, 130, 123, 133, 110, 115)(145, 162, 183,
182, 170, 146)(147, 169, 174, 184, 161, 166)(148, 165, 186, 185, 173, 149)(150,
172, 177, 187, 164, 157)(151, 168, 189, 188, 176, 152)(153, 175, 180, 190, 167,
160)(154, 159, 192, 191, 179, 155)(156, 178, 171, 181, 158, 163)
d4: (144, 192)
e4: (117, 165)
f4: (120, 168)
g4: (138, 186)
h4: (116, 164)
m4: (110, 158)
n5: (105, 153)
C4[ 192, 155 ]
192
-1 145 146 97 98
-2 145 156 97 108
-3 145 114 162 97
-4 121 145 169 97
-5 99 146 147 98
-6 146 115 163 98
-7 122 146 170 98
-8 99 100 147 148
-9 99 147 116 164
-10 99 123 147 171
-11 100 101 148 149
-12 165 100 148 117
-13 100 124 148 172
-14 101 102 149 150
-15 166 101 149 118
-16 101 125 149 173
-17 102 103 150 151
-18 167 102 150 119
-19 102 126 150 174
-20 103 104 151 152
-21 168 103 151 120
-22 103 127 151 175
-23 104 105 152 153
-24 157 104 152 109
-25 176 104 128 152
-26 154 105 106 153
-27 110 158 105 153
-28 177 105 129 153
-29 154 155 106 107
-30 154 111 159 106
-31 154 178 106 130
-32 155 156 107 108
-33 155 112 160 107
-34 155 179 107 131
-35 156 113 161 108
-36 132 156 180 108
-37 121 157 169 109
-38 157 125 173 109
-39 157 190 109 142
-40 110 122 158 170
-41 110 158 126 174
-42 110 143 158 191
-43 111 123 159 171
-44 111 159 127 175
-45 111 144 159 192
-46 112 124 160 172
-47 176 112 160 128
-48 133 112 181 160
-49 113 125 161 173
-50 177 113 161 129
-51 134 113 182 161
-52 114 126 162 174
-53 178 114 162 130
-54 135 114 183 162
-55 115 127 163 175
-56 179 115 163 131
-57 136 115 184 163
-58 176 116 128 164
-59 132 180 116 164
-60 137 116 185 164
-61 121 165 169 117
-62 165 177 117 129
-63 165 138 117 186
-64 122 166 170 118
-65 166 178 118 130
-66 187 166 139 118
-67 123 167 171 119
-68 167 179 119 131
-69 188 167 140 119
-70 124 168 172 120
-71 132 168 180 120
-72 189 168 141 120
-73 121 133 169 181
-74 122 134 170 182
-75 123 135 171 183
-76 124 136 172 184
-77 125 137 173 185
-78 126 138 174 186
-79 187 127 139 175
-80 176 188 128 140
-81 177 189 129 141
-82 178 190 130 142
-83 143 179 191 131
-84 132 144 180 192
-85 133 134 181 182
-86 133 144 181 192
-87 134 135 182 183
-88 135 136 183 184
-89 136 137 184 185
-90 137 138 185 186
-91 187 138 139 186
-92 187 188 139 140
-93 188 189 140 141
-94 189 190 141 142
-95 143 190 191 142
-96 143 144 191 192
-97 1 2 3 4
-98 1 5 6 7
-99 5 8 9 10
-100 11 12 13 8
-101 11 14 15 16
-102 14 17 18 19
-103 22 17 20 21
-104 23 24 25 20
-105 23 26 27 28
-106 26 29 30 31
-107 33 34 29 32
-108 2 35 36 32
-109 24 37 38 39
-110 27 40 41 42
-111 44 45 30 43
-112 33 46 47 48
-113 35 49 50 51
-114 3 52 53 54
-115 55 56 57 6
-116 58 59 60 9
-117 12 61 62 63
-118 66 15 64 65
-119 67 68 69 18
-120 70 71 72 21
-121 4 37 61 73
-122 7 40 74 64
-123 67 75 10 43
-124 13 46 70 76
-125 77 16 38 49
-126 78 19 41 52
-127 22 44 55 79
-128 58 25 80 47
-129 81 28 50 62
-130 82 31 53 65
-131 34 56 68 83
-132 36 59 71 84
-133 48 73 85 86
-134 51 74 85 87
-135 88 75 54 87
-136 88 89 57 76
-137 77 89 90 60
-138 78 90 91 63
-139 66 79 91 92
-140 69 80 92 93
-141 81 93 72 94
-142 82 39 94 95
-143 83 95 96 42
-144 45 84 96 86
-145 1 2 3 4
-146 1 5 6 7
-147 5 8 9 10
-148 11 12 13 8
-149 11 14 15 16
-150 14 17 18 19
-151 22 17 20 21
-152 23 24 25 20
-153 23 26 27 28
-154 26 29 30 31
-155 33 34 29 32
-156 2 35 36 32
-157 24 37 38 39
-158 27 40 41 42
-159 44 45 30 43
-160 33 46 47 48
-161 35 49 50 51
-162 3 52 53 54
-163 55 56 57 6
-164 58 59 60 9
-165 12 61 62 63
-166 66 15 64 65
-167 67 68 69 18
-168 70 71 72 21
-169 4 37 61 73
-170 7 40 74 64
-171 67 75 10 43
-172 13 46 70 76
-173 77 16 38 49
-174 78 19 41 52
-175 22 44 55 79
-176 58 25 80 47
-177 81 28 50 62
-178 82 31 53 65
-179 34 56 68 83
-180 36 59 71 84
-181 48 73 85 86
-182 51 74 85 87
-183 88 75 54 87
-184 88 89 57 76
-185 77 89 90 60
-186 78 90 91 63
-187 66 79 91 92
-188 69 80 92 93
-189 81 93 72 94
-190 82 39 94 95
-191 83 95 96 42
-192 45 84 96 86
0