C4graphGraph forms for C4 [ 224, 11 ] = MPS(4,112;27)

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On this page are computer-accessible forms for the graph C4[ 224, 11 ] = MPS(4,112;27).

(I) Following is a form readable by MAGMA:

g:=Graph<224|{ {112, 126}, {99, 113}, {102, 116}, {103, 117}, {106, 120}, {107, 121}, {110, 124}, {111, 125}, {100, 114}, {101, 115}, {108, 122}, {109, 123}, {160, 187}, {164, 191}, {160, 188}, {163, 191}, {162, 190}, {161, 189}, {161, 188}, {163, 190}, {104, 118}, {105, 119}, {162, 189}, {141, 169}, {159, 187}, {158, 186}, {157, 185}, {156, 184}, {151, 179}, {150, 178}, {149, 177}, {148, 176}, {142, 170}, {143, 171}, {143, 170}, {159, 186}, {157, 184}, {151, 178}, {149, 176}, {142, 169}, {158, 185}, {150, 177}, {80, 123}, {156, 183}, {152, 179}, {84, 127}, {152, 180}, {155, 183}, {154, 182}, {153, 181}, {81, 124}, {155, 182}, {153, 180}, {83, 126}, {82, 125}, {154, 181}, {71, 114}, {77, 120}, {79, 122}, {8, 63}, {70, 113}, {78, 121}, {1, 57}, {2, 58}, {3, 59}, {4, 60}, {5, 61}, {6, 62}, {7, 63}, {3, 58}, {5, 60}, {7, 62}, {2, 57}, {6, 61}, {72, 115}, {76, 119}, {144, 171}, {148, 175}, {144, 172}, {145, 173}, {146, 174}, {147, 175}, {73, 116}, {75, 118}, {145, 172}, {147, 174}, {4, 59}, {74, 117}, {146, 173}, {57, 127}, {8, 64}, {56, 112}, {47, 103}, {46, 102}, {45, 101}, {44, 100}, {43, 99}, {42, 98}, {41, 97}, {40, 96}, {9, 65}, {10, 66}, {11, 67}, {12, 68}, {13, 69}, {14, 70}, {15, 71}, {24, 80}, {25, 81}, {26, 82}, {27, 83}, {28, 84}, {29, 85}, {30, 86}, {31, 87}, {9, 64}, {47, 102}, {45, 100}, {43, 98}, {41, 96}, {11, 66}, {13, 68}, {15, 70}, {25, 80}, {27, 82}, {29, 84}, {31, 86}, {10, 65}, {46, 101}, {42, 97}, {14, 69}, {26, 81}, {30, 85}, {12, 67}, {44, 99}, {28, 83}, {128, 211}, {132, 215}, {136, 219}, {140, 223}, {128, 212}, {129, 213}, {130, 214}, {131, 215}, {136, 220}, {137, 221}, {138, 222}, {139, 223}, {129, 212}, {131, 214}, {137, 220}, {139, 222}, {16, 71}, {56, 111}, {48, 103}, {24, 79}, {130, 213}, {138, 221}, {16, 72}, {55, 111}, {54, 110}, {53, 109}, {52, 108}, {51, 107}, {50, 106}, {49, 105}, {48, 104}, {17, 73}, {18, 74}, {19, 75}, {20, 76}, {21, 77}, {22, 78}, {23, 79}, {17, 72}, {55, 110}, {53, 108}, {51, 106}, {49, 104}, {19, 74}, {21, 76}, {23, 78}, {18, 73}, {54, 109}, {50, 105}, {22, 77}, {132, 216}, {133, 217}, {134, 218}, {135, 219}, {133, 216}, {135, 218}, {20, 75}, {52, 107}, {134, 217}, {164, 192}, {167, 195}, {166, 194}, {165, 193}, {165, 192}, {167, 194}, {166, 193}, {168, 195}, {140, 224}, {168, 196}, {141, 224}, {1, 112}, {32, 87}, {40, 95}, {32, 88}, {39, 95}, {38, 94}, {33, 89}, {34, 90}, {35, 91}, {36, 92}, {37, 93}, {33, 88}, {39, 94}, {35, 90}, {37, 92}, {34, 89}, {38, 93}, {36, 91}, {47, 172}, {55, 180}, {51, 176}, {44, 169}, {54, 179}, {52, 177}, {46, 171}, {45, 170}, {53, 178}, {56, 181}, {32, 186}, {37, 191}, {33, 187}, {36, 190}, {48, 173}, {63, 162}, {61, 160}, {50, 175}, {34, 188}, {35, 189}, {49, 174}, {62, 161}, {60, 159}, {57, 156}, {59, 158}, {15, 169}, {22, 176}, {23, 177}, {30, 184}, {31, 185}, {58, 157}, {24, 178}, {25, 179}, {28, 182}, {29, 183}, {124, 208}, {125, 209}, {126, 210}, {127, 211}, {125, 208}, {127, 210}, {26, 180}, {27, 181}, {126, 209}, {116, 199}, {120, 203}, {124, 207}, {113, 197}, {114, 198}, {115, 199}, {120, 204}, {121, 205}, {122, 206}, {123, 207}, {2, 183}, {8, 189}, {10, 191}, {113, 196}, {115, 198}, {121, 204}, {123, 206}, {1, 182}, {9, 190}, {114, 197}, {122, 205}, {16, 170}, {63, 133}, {62, 132}, {59, 129}, {58, 128}, {17, 171}, {20, 174}, {21, 175}, {3, 184}, {7, 188}, {116, 200}, {117, 201}, {118, 202}, {119, 203}, {4, 185}, {6, 187}, {117, 200}, {119, 202}, {18, 172}, {61, 131}, {60, 130}, {19, 173}, {5, 186}, {118, 201}, {64, 134}, {65, 135}, {72, 142}, {73, 143}, {80, 150}, {81, 151}, {88, 158}, {89, 159}, {96, 166}, {97, 167}, {66, 136}, {67, 137}, {70, 140}, {71, 141}, {82, 152}, {83, 153}, {86, 156}, {87, 157}, {98, 168}, {11, 192}, {43, 224}, {15, 196}, {27, 208}, {31, 212}, {12, 193}, {14, 195}, {28, 209}, {30, 211}, {68, 138}, {69, 139}, {84, 154}, {85, 155}, {13, 194}, {29, 210}, {1, 211}, {4, 214}, {5, 215}, {8, 218}, {9, 219}, {12, 222}, {13, 223}, {16, 197}, {18, 199}, {24, 205}, {26, 207}, {85, 128}, {87, 130}, {93, 136}, {95, 138}, {2, 212}, {3, 213}, {10, 220}, {11, 221}, {17, 198}, {25, 206}, {86, 129}, {94, 137}, {74, 144}, {75, 145}, {78, 148}, {79, 149}, {19, 200}, {23, 204}, {88, 131}, {92, 135}, {20, 201}, {22, 203}, {89, 132}, {91, 134}, {6, 216}, {7, 217}, {76, 146}, {77, 147}, {21, 202}, {90, 133}, {64, 163}, {68, 167}, {65, 164}, {67, 166}, {38, 192}, {55, 209}, {54, 208}, {47, 201}, {46, 200}, {39, 193}, {66, 165}, {40, 194}, {56, 210}, {45, 199}, {44, 198}, {41, 195}, {96, 139}, {100, 143}, {112, 155}, {69, 168}, {97, 140}, {99, 142}, {14, 224}, {43, 197}, {42, 196}, {98, 141}, {32, 213}, {42, 223}, {40, 221}, {34, 215}, {101, 144}, {103, 146}, {109, 152}, {111, 154}, {33, 214}, {41, 222}, {102, 145}, {110, 153}, {48, 202}, {53, 207}, {52, 206}, {49, 203}, {90, 160}, {91, 161}, {94, 164}, {95, 165}, {35, 216}, {39, 220}, {104, 147}, {108, 151}, {36, 217}, {38, 219}, {105, 148}, {107, 150}, {50, 204}, {51, 205}, {92, 162}, {93, 163}, {37, 218}, {106, 149} }>;

(II) A more general form is to represent the graph as the orbit of {112, 126} under the group generated by the following permutations:

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

(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[ 224, 11 ]
224
-1 57 112 211 182
-2 57 58 212 183
-3 58 59 213 184
-4 59 60 214 185
-5 60 61 215 186
-6 187 61 62 216
-7 188 62 63 217
-8 189 63 64 218
-9 190 64 65 219
-10 66 220 191 65
-11 66 67 221 192
-12 67 68 222 193
-13 68 69 223 194
-14 69 70 224 195
-15 70 169 71 196
-16 71 170 72 197
-17 198 72 171 73
-18 199 73 172 74
-19 200 74 173 75
-20 201 75 174 76
-21 77 202 76 175
-22 77 176 78 203
-23 78 177 79 204
-24 79 178 80 205
-25 80 179 81 206
-26 81 180 82 207
-27 82 181 83 208
-28 209 83 182 84
-29 210 84 183 85
-30 211 85 184 86
-31 212 86 185 87
-32 88 213 87 186
-33 88 187 89 214
-34 89 188 90 215
-35 90 189 91 216
-36 91 190 92 217
-37 92 191 93 218
-38 93 192 94 219
-39 220 94 193 95
-40 221 95 194 96
-41 222 96 195 97
-42 223 97 196 98
-43 99 224 98 197
-44 99 198 100 169
-45 100 199 101 170
-46 101 200 102 171
-47 102 201 103 172
-48 103 202 104 173
-49 104 203 105 174
-50 105 204 106 175
-51 176 106 205 107
-52 177 107 206 108
-53 178 108 207 109
-54 110 179 109 208
-55 110 209 111 180
-56 111 210 112 181
-57 1 2 156 127
-58 2 3 157 128
-59 3 4 158 129
-60 4 5 159 130
-61 5 6 160 131
-62 132 6 7 161
-63 133 7 8 162
-64 134 8 9 163
-65 135 9 10 164
-66 11 165 136 10
-67 11 12 166 137
-68 12 13 167 138
-69 13 14 168 139
-70 14 113 15 140
-71 15 114 16 141
-72 16 115 17 142
-73 143 17 116 18
-74 144 18 117 19
-75 145 19 118 20
-76 146 20 119 21
-77 22 147 21 120
-78 22 121 23 148
-79 23 122 24 149
-80 24 123 25 150
-81 25 124 26 151
-82 26 125 27 152
-83 27 126 28 153
-84 154 28 127 29
-85 155 29 128 30
-86 156 30 129 31
-87 157 31 130 32
-88 33 158 32 131
-89 33 132 34 159
-90 34 133 35 160
-91 35 134 36 161
-92 36 135 37 162
-93 37 136 38 163
-94 38 137 39 164
-95 165 39 138 40
-96 166 40 139 41
-97 167 41 140 42
-98 168 42 141 43
-99 44 113 43 142
-100 44 143 45 114
-101 45 144 46 115
-102 46 145 47 116
-103 47 146 48 117
-104 48 147 49 118
-105 49 148 50 119
-106 50 149 51 120
-107 121 51 150 52
-108 122 52 151 53
-109 123 53 152 54
-110 55 124 54 153
-111 55 154 56 125
-112 1 56 155 126
-113 99 70 196 197
-114 198 100 71 197
-115 198 199 101 72
-116 199 200 102 73
-117 200 201 103 74
-118 201 202 104 75
-119 202 203 105 76
-120 77 203 204 106
-121 78 204 205 107
-122 79 205 206 108
-123 80 206 207 109
-124 110 81 207 208
-125 209 111 82 208
-126 209 210 112 83
-127 210 57 211 84
-128 211 58 212 85
-129 212 59 213 86
-130 213 60 214 87
-131 88 214 61 215
-132 89 215 62 216
-133 90 216 63 217
-134 91 217 64 218
-135 92 218 65 219
-136 66 220 93 219
-137 220 67 221 94
-138 221 68 222 95
-139 222 69 223 96
-140 223 70 224 97
-141 169 224 71 98
-142 99 169 170 72
-143 100 170 171 73
-144 101 171 172 74
-145 102 172 173 75
-146 103 173 174 76
-147 77 104 174 175
-148 176 78 105 175
-149 176 177 79 106
-150 177 178 80 107
-151 178 179 81 108
-152 179 180 82 109
-153 110 180 181 83
-154 111 181 182 84
-155 112 182 183 85
-156 57 183 184 86
-157 58 184 185 87
-158 88 59 185 186
-159 187 89 60 186
-160 187 188 90 61
-161 188 189 91 62
-162 189 190 92 63
-163 190 191 93 64
-164 191 192 94 65
-165 66 192 193 95
-166 67 193 194 96
-167 68 194 195 97
-168 69 195 196 98
-169 44 15 141 142
-170 143 45 16 142
-171 143 144 46 17
-172 144 145 47 18
-173 145 146 48 19
-174 146 147 49 20
-175 147 148 50 21
-176 22 148 149 51
-177 23 149 150 52
-178 24 150 151 53
-179 25 151 152 54
-180 55 26 152 153
-181 154 56 27 153
-182 154 1 155 28
-183 155 2 156 29
-184 156 3 157 30
-185 157 4 158 31
-186 158 5 159 32
-187 33 159 6 160
-188 34 160 7 161
-189 35 161 8 162
-190 36 162 9 163
-191 37 163 10 164
-192 11 165 38 164
-193 165 12 166 39
-194 166 13 167 40
-195 167 14 168 41
-196 113 168 15 42
-197 113 114 16 43
-198 44 114 115 17
-199 45 115 116 18
-200 46 116 117 19
-201 47 117 118 20
-202 48 118 119 21
-203 22 49 119 120
-204 121 23 50 120
-205 121 122 24 51
-206 122 123 25 52
-207 123 124 26 53
-208 124 125 27 54
-209 55 125 126 28
-210 56 126 127 29
-211 1 127 128 30
-212 2 128 129 31
-213 3 129 130 32
-214 33 4 130 131
-215 132 34 5 131
-216 132 133 35 6
-217 133 134 36 7
-218 134 135 37 8
-219 135 136 38 9
-220 136 137 39 10
-221 11 137 138 40
-222 12 138 139 41
-223 13 139 140 42
-224 14 140 141 43
0

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