C4graphGraph forms for C4 [ 208, 12 ] = MPS(4,104;25)

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On this page are computer-accessible forms for the graph C4[ 208, 12 ] = MPS(4,104;25).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {96, 109} under the group generated by the following permutations:

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

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

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