Graph forms
for C4 [ 224, 31 ] = SDD(C_56(1,13))
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On this page are computer-accessible forms for the graph C4[ 224, 31 ] =
SDD(C_56(1,13)).
(I) Following is a form readable by MAGMA:
g:=Graph<224|{ {44, 127}, {42, 126}, {43, 127}, {40, 125}, {41, 127}, {41, 126},
{36, 124}, {38, 126}, {34, 123}, {37, 124}, {33, 123}, {39, 125}, {32, 123},
{38, 125}, {32, 124}, {35, 125}, {35, 124}, {24, 120}, {26, 122}, {22, 119},
{25, 120}, {21, 119}, {27, 121}, {20, 119}, {26, 121}, {18, 118}, {30, 122},
{16, 117}, {31, 122}, {28, 121}, {19, 118}, {17, 119}, {29, 123}, {17, 118},
{29, 122}, {20, 120}, {23, 121}, {23, 120}, {1, 113}, {3, 113}, {1, 114}, {2,
113}, {6, 114}, {4, 113}, {7, 114}, {5, 115}, {5, 114}, {12, 116}, {14, 118},
{6, 127}, {13, 116}, {10, 115}, {9, 115}, {15, 117}, {8, 115}, {14, 117}, {2,
126}, {8, 116}, {11, 117}, {11, 116}, {40, 168}, {92, 220}, {66, 194}, {67,
195}, {69, 197}, {64, 193}, {90, 219}, {69, 196}, {71, 198}, {37, 167}, {88,
218}, {65, 195}, {70, 196}, {71, 197}, {60, 191}, {94, 221}, {65, 194}, {75,
200}, {34, 166}, {100, 224}, {58, 190}, {59, 191}, {77, 201}, {56, 189}, {82,
215}, {77, 200}, {79, 202}, {57, 191}, {78, 200}, {79, 201}, {80, 214}, {57,
190}, {67, 196}, {68, 195}, {50, 186}, {51, 187}, {53, 189}, {9, 128}, {48,
185}, {53, 188}, {55, 190}, {49, 187}, {54, 188}, {55, 189}, {49, 186}, {91,
208}, {76, 199}, {74, 198}, {93, 209}, {84, 216}, {75, 199}, {12, 129}, {95,
210}, {93, 208}, {15, 130}, {66, 207}, {72, 197}, {64, 206}, {95, 209}, {94,
208}, {73, 199}, {51, 188}, {86, 217}, {52, 187}, {73, 198}, {36, 180}, {112,
224}, {38, 182}, {18, 131}, {37, 180}, {34, 179}, {21, 132}, {13, 159}, {39,
181}, {33, 179}, {32, 179}, {92, 207}, {43, 184}, {38, 181}, {10, 158}, {91,
207}, {90, 206}, {45, 185}, {32, 180}, {68, 208}, {45, 184}, {88, 205}, {47,
186}, {35, 181}, {89, 207}, {47, 185}, {46, 184}, {35, 180}, {89, 206}, {70,
209}, {76, 212}, {85, 205}, {83, 203}, {82, 202}, {30, 135}, {87, 206}, {85,
204}, {74, 211}, {80, 201}, {7, 157}, {87, 205}, {86, 204}, {81, 203}, {72,
210}, {44, 183}, {81, 202}, {78, 213}, {42, 182}, {43, 183}, {24, 133}, {40,
181}, {27, 134}, {41, 183}, {3, 156}, {84, 203}, {83, 204}, {41, 182}, {12,
172}, {44, 140}, {14, 174}, {10, 171}, {42, 139}, {30, 191}, {13, 172}, {9,
171}, {15, 173}, {8, 171}, {46, 141}, {14, 173}, {8, 172}, {52, 144}, {20, 176},
{24, 189}, {27, 190}, {11, 173}, {23, 177}, {11, 172}, {23, 176}, {54, 145}, {1,
169}, {26, 178}, {24, 176}, {60, 148}, {18, 187}, {33, 136}, {25, 176}, {21,
188}, {58, 147}, {3, 169}, {27, 177}, {56, 146}, {1, 170}, {43, 128}, {26, 177},
{2, 169}, {62, 149}, {4, 168}, {45, 129}, {30, 178}, {6, 170}, {4, 169}, {47,
130}, {45, 128}, {39, 138}, {36, 137}, {31, 178}, {28, 177}, {7, 170}, {5, 171},
{47, 129}, {46, 128}, {29, 179}, {5, 170}, {112, 223}, {29, 178}, {16, 160},
{111, 223}, {110, 222}, {109, 221}, {108, 220}, {107, 219}, {106, 218}, {105,
217}, {104, 216}, {103, 215}, {102, 214}, {101, 213}, {99, 211}, {98, 210}, {51,
131}, {50, 130}, {53, 133}, {6, 183}, {111, 222}, {109, 220}, {107, 218}, {105,
216}, {103, 214}, {101, 212}, {96, 209}, {53, 132}, {48, 129}, {9, 184}, {55,
134}, {19, 161}, {97, 211}, {49, 131}, {54, 132}, {55, 133}, {49, 130}, {110,
221}, {106, 217}, {102, 213}, {97, 210}, {59, 136}, {2, 182}, {22, 162}, {61,
137}, {12, 185}, {15, 186}, {61, 136}, {63, 138}, {62, 136}, {63, 137}, {51,
132}, {108, 219}, {100, 211}, {99, 212}, {52, 131}, {28, 164}, {22, 175}, {21,
175}, {31, 165}, {25, 163}, {20, 175}, {60, 135}, {18, 174}, {58, 134}, {59,
135}, {16, 173}, {98, 223}, {50, 143}, {19, 174}, {56, 133}, {17, 175}, {96,
222}, {48, 142}, {57, 135}, {17, 174}, {104, 215}, {57, 134}, {28, 220}, {85,
149}, {83, 147}, {82, 146}, {80, 145}, {87, 150}, {85, 148}, {25, 219}, {87,
149}, {86, 148}, {31, 221}, {81, 147}, {76, 143}, {91, 152}, {81, 146}, {74,
142}, {93, 153}, {75, 143}, {72, 141}, {98, 167}, {95, 154}, {93, 152}, {73,
143}, {96, 166}, {95, 153}, {94, 152}, {73, 142}, {84, 147}, {83, 148}, {16,
216}, {111, 167}, {110, 166}, {109, 165}, {108, 164}, {107, 163}, {106, 162},
{105, 161}, {104, 160}, {40, 224}, {66, 138}, {67, 139}, {69, 141}, {64, 137},
{111, 166}, {109, 164}, {107, 162}, {105, 160}, {69, 140}, {71, 142}, {19, 217},
{65, 139}, {70, 140}, {71, 141}, {65, 138}, {110, 165}, {106, 161}, {92, 151},
{22, 218}, {100, 168}, {91, 151}, {90, 150}, {82, 159}, {88, 149}, {80, 158},
{89, 151}, {67, 140}, {108, 163}, {89, 150}, {68, 139}, {76, 156}, {74, 155},
{7, 213}, {72, 154}, {78, 157}, {66, 151}, {64, 150}, {3, 212}, {112, 167},
{112, 168}, {13, 215}, {75, 144}, {10, 214}, {68, 152}, {77, 145}, {77, 144},
{79, 146}, {78, 144}, {79, 145}, {70, 153}, {33, 192}, {4, 224}, {36, 193}, {39,
194}, {44, 196}, {42, 195}, {46, 197}, {60, 204}, {58, 203}, {56, 202}, {62,
205}, {84, 160}, {50, 199}, {48, 198}, {86, 161}, {104, 159}, {92, 164}, {103,
159}, {102, 158}, {101, 157}, {99, 155}, {98, 154}, {90, 163}, {103, 158}, {101,
156}, {96, 153}, {37, 223}, {97, 155}, {88, 162}, {59, 192}, {102, 157}, {97,
154}, {94, 165}, {34, 222}, {52, 200}, {61, 193}, {61, 192}, {63, 194}, {62,
192}, {63, 193}, {54, 201}, {100, 155}, {99, 156} }>;
(II) A more general form is to represent the graph as the orbit of {44, 127}
under the group generated by the following permutations:
a: (131, 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: (133, 189)
c: (125, 181)
d: (118, 174)
e: (159, 215)
f: (128, 184)
g: (130, 186)
h: (138, 194)
m: (165, 221)
n1: (124, 180)
a1: (122, 178)
b1: (154, 210)
c1: (150, 206)
d1: (155, 211)
e1: (157, 213)
f1: (116, 172)
g1: (2, 7)(3, 6)(4, 5)(8, 112)(9, 100)(10, 40)(11, 111)(12, 98)(13, 37)(14,
110)(15, 96)(16, 34)(17, 109)(18, 94)(19, 31)(20, 108)(21, 92)(22, 28)(23,
107)(24, 90)(26, 106)(27, 88)(29, 105)(30, 86)(32, 104)(33, 84)(35, 103)(36,
82)(38, 102)(39, 80)(41, 101)(42, 78)(43, 99)(44, 76)(45, 97)(46, 74)(47,
95)(48, 72)(49, 93)(50, 70)(51, 91)(52, 68)(53, 89)(54, 66)(55, 87)(56, 64)(57,
85)(58, 62)(59, 83)(61, 81)(63, 79)(65, 77)(67, 75)(69, 73)(113, 114)(115,
168)(116, 167)(117, 166)(118, 165)(119, 164)(120, 163)(121, 162)(122, 161)(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)(169, 170)(171, 224)(172, 223)(173, 222)(174, 221)(175,
220)(176, 219)(177, 218)(178, 217)(179, 216)(180, 215)(181, 214)(182, 213)(183,
212)(184, 211)(185, 210)(186, 209)(187, 208)(188, 207)(189, 206)(190, 205)(191,
204)(192, 203)(193, 202)(194, 201)(195, 200)(196, 199)(197, 198)
h1: (123, 179)
m1: (140, 196)
n2: (135, 191)
a2: (1, 3)(2, 4)(5, 76)(6, 99)(7, 101)(8, 50)(9, 73)(10, 75)(11, 15)(12, 47)(13,
49)(14, 16)(17, 84)(18, 104)(19, 105)(20, 58)(21, 81)(22, 83)(23, 27)(24,
55)(25, 57)(26, 28)(29, 92)(30, 108)(31, 109)(32, 66)(33, 89)(34, 91)(35,
39)(36, 63)(37, 65)(38, 40)(41, 100)(42, 112)(43, 74)(44, 97)(45, 48)(46,
71)(51, 82)(52, 103)(53, 56)(54, 79)(59, 90)(60, 107)(61, 64)(62, 87)(67,
98)(68, 111)(69, 72)(70, 95)(77, 80)(78, 102)(85, 88)(86, 106)(93, 96)(94,
110)(114, 156)(115, 143)(116, 130)(118, 160)(119, 147)(120, 134)(122, 164)(123,
151)(124, 138)(126, 168)(127, 155)(128, 142)(131, 159)(132, 146)(135, 163)(136,
150)(139, 167)(140, 154)(144, 158)(148, 162)(152, 166)(170, 212)(171, 199)(172,
186)(174, 216)(175, 203)(176, 190)(178, 220)(179, 207)(180, 194)(182, 224)(183,
211)(184, 198)(187, 215)(188, 202)(191, 219)(192, 206)(195, 223)(196, 210)(200,
214)(204, 218)(208, 222)
b2: (120, 176)
c2: (161, 217)
d2: (166, 222)
e2: (167, 223)
f2: (136, 192)
g2: (162, 218)
h2: (139, 195)
m2: (164, 220)
n3: (144, 200)
a3: (148, 204)
b3: (127, 183)
c3: (113, 169)
d3: (129, 185)
e3: (137, 193)
f3: (163, 219)
g3: (158, 214)
h3: (121, 177)
m3: (142, 198)
n4: (147, 203)
a4: (126, 182)
b4: (141, 197)
c4: (160, 216)
d4: (149, 205)
e4: (114, 170)
f4: (132, 188)
g4: (145, 201)
h4: (156, 212)
m4: (117, 173)
n5: (115, 171)
a5: (143, 199)
b5: (153, 209)
c5: (1, 2, 38, 39, 63, 64, 87, 88, 106, 19, 14, 15, 47, 48, 71, 72, 95, 96, 110,
31, 26, 27, 55, 56, 79, 80, 102, 7)(3, 41, 40, 65, 36, 89, 62, 107, 86, 17, 16,
49, 12, 73, 46, 97, 70, 111, 94, 29, 28, 57, 24, 81, 54, 103, 78, 5)(4, 42, 35,
66, 61, 90, 85, 22, 105, 18, 11, 50, 45, 74, 69, 98, 93, 34, 109, 30, 23, 58,
53, 82, 77, 10, 101, 6)(8, 76, 43, 100, 67, 37, 91, 33, 108, 60, 20, 84, 51, 13,
75, 9, 99, 44, 112, 68, 32, 92, 59, 25, 83, 21, 104, 52)(113, 126, 125, 138,
137, 150, 149, 162, 161, 118, 117, 130, 129, 142, 141, 154, 153, 166, 165, 122,
121, 134, 133, 146, 145, 158, 157, 114)(115, 156, 127, 168, 139, 124, 151, 136,
163, 148, 119, 160, 131, 116, 143, 128, 155, 140, 167, 152, 123, 164, 135, 120,
147, 132, 159, 144)(169, 182, 181, 194, 193, 206, 205, 218, 217, 174, 173, 186,
185, 198, 197, 210, 209, 222, 221, 178, 177, 190, 189, 202, 201, 214, 213,
170)(171, 212, 183, 224, 195, 180, 207, 192, 219, 204, 175, 216, 187, 172, 199,
184, 211, 196, 223, 208, 179, 220, 191, 176, 203, 188, 215, 200)
d5: (146, 202)
e5: (151, 207)
f5: (119, 175)
g5: (168, 224)
h5: (152, 208)
C4[ 224, 31 ]
224
-1 113 114 169 170
-2 113 169 126 182
-3 156 113 212 169
-4 113 168 169 224
-5 114 115 170 171
-6 114 170 127 183
-7 157 114 213 170
-8 115 116 171 172
-9 115 171 128 184
-10 158 115 214 171
-11 116 117 172 173
-12 116 172 129 185
-13 159 116 215 172
-14 117 118 173 174
-15 117 173 130 186
-16 160 117 216 173
-17 118 119 174 175
-18 187 118 174 131
-19 161 118 217 174
-20 176 119 120 175
-21 132 188 119 175
-22 162 119 218 175
-23 121 176 177 120
-24 176 133 189 120
-25 176 163 120 219
-26 121 122 177 178
-27 121 177 134 190
-28 121 220 177 164
-29 122 123 178 179
-30 122 178 135 191
-31 165 122 221 178
-32 123 124 179 180
-33 123 179 136 192
-34 166 123 222 179
-35 124 125 180 181
-36 124 180 137 193
-37 167 124 223 180
-38 125 126 181 182
-39 125 181 138 194
-40 168 125 224 181
-41 126 127 182 183
-42 126 182 139 195
-43 127 128 183 184
-44 127 183 140 196
-45 128 129 184 185
-46 128 184 141 197
-47 129 130 185 186
-48 198 129 185 142
-49 187 130 131 186
-50 143 199 130 186
-51 132 187 188 131
-52 187 144 200 131
-53 132 133 188 189
-54 132 188 145 201
-55 133 134 189 190
-56 133 189 146 202
-57 134 135 190 191
-58 134 190 147 203
-59 135 136 191 192
-60 135 191 148 204
-61 136 137 192 193
-62 136 192 149 205
-63 137 138 193 194
-64 137 193 150 206
-65 138 139 194 195
-66 138 194 151 207
-67 139 140 195 196
-68 139 195 152 208
-69 140 141 196 197
-70 209 140 196 153
-71 198 141 142 197
-72 154 210 141 197
-73 143 198 199 142
-74 198 155 211 142
-75 143 144 199 200
-76 143 199 156 212
-77 144 145 200 201
-78 144 200 157 213
-79 145 146 201 202
-80 145 201 158 214
-81 146 147 202 203
-82 146 202 159 215
-83 147 148 203 204
-84 147 203 160 216
-85 148 149 204 205
-86 148 204 161 217
-87 149 150 205 206
-88 149 205 162 218
-89 150 151 206 207
-90 150 206 163 219
-91 151 152 207 208
-92 220 151 207 164
-93 209 152 153 208
-94 165 221 152 208
-95 154 209 210 153
-96 209 166 222 153
-97 154 155 210 211
-98 154 210 167 223
-99 155 156 211 212
-100 155 211 168 224
-101 156 157 212 213
-102 157 158 213 214
-103 158 159 214 215
-104 159 160 215 216
-105 160 161 216 217
-106 161 162 217 218
-107 162 163 218 219
-108 220 163 164 219
-109 165 220 221 164
-110 165 166 221 222
-111 166 167 222 223
-112 167 168 223 224
-113 1 2 3 4
-114 1 5 6 7
-115 5 8 9 10
-116 11 12 13 8
-117 11 14 15 16
-118 14 17 18 19
-119 22 17 20 21
-120 23 24 25 20
-121 23 26 27 28
-122 26 29 30 31
-123 33 34 29 32
-124 35 36 37 32
-125 35 38 39 40
-126 2 38 41 42
-127 44 6 41 43
-128 45 46 9 43
-129 12 45 47 48
-130 47 15 49 50
-131 49 18 51 52
-132 51 53 21 54
-133 55 56 24 53
-134 55 57 58 27
-135 57 59 60 30
-136 33 59 61 62
-137 36 61 63 64
-138 66 39 63 65
-139 67 68 42 65
-140 44 67 69 70
-141 46 69 71 72
-142 48 71 73 74
-143 50 73 75 76
-144 77 78 52 75
-145 77 79 80 54
-146 56 79 81 82
-147 58 81 83 84
-148 60 83 85 86
-149 88 62 85 87
-150 89 90 64 87
-151 66 89 91 92
-152 68 91 93 94
-153 70 93 95 96
-154 72 95 97 98
-155 99 100 74 97
-156 99 101 3 76
-157 78 101 102 7
-158 80 102 103 10
-159 13 103 82 104
-160 16 104 105 84
-161 105 106 19 86
-162 22 88 106 107
-163 90 25 107 108
-164 92 28 108 109
-165 110 94 31 109
-166 110 34 111 96
-167 111 112 37 98
-168 100 112 4 40
-169 1 2 3 4
-170 1 5 6 7
-171 5 8 9 10
-172 11 12 13 8
-173 11 14 15 16
-174 14 17 18 19
-175 22 17 20 21
-176 23 24 25 20
-177 23 26 27 28
-178 26 29 30 31
-179 33 34 29 32
-180 35 36 37 32
-181 35 38 39 40
-182 2 38 41 42
-183 44 6 41 43
-184 45 46 9 43
-185 12 45 47 48
-186 47 15 49 50
-187 49 18 51 52
-188 51 53 21 54
-189 55 56 24 53
-190 55 57 58 27
-191 57 59 60 30
-192 33 59 61 62
-193 36 61 63 64
-194 66 39 63 65
-195 67 68 42 65
-196 44 67 69 70
-197 46 69 71 72
-198 48 71 73 74
-199 50 73 75 76
-200 77 78 52 75
-201 77 79 80 54
-202 56 79 81 82
-203 58 81 83 84
-204 60 83 85 86
-205 88 62 85 87
-206 89 90 64 87
-207 66 89 91 92
-208 68 91 93 94
-209 70 93 95 96
-210 72 95 97 98
-211 99 100 74 97
-212 99 101 3 76
-213 78 101 102 7
-214 80 102 103 10
-215 13 103 82 104
-216 16 104 105 84
-217 105 106 19 86
-218 22 88 106 107
-219 90 25 107 108
-220 92 28 108 109
-221 110 94 31 109
-222 110 34 111 96
-223 111 112 37 98
-224 100 112 4 40
0