C4graphGraph forms for C4 [ 184, 4 ] = R_92(48,47)

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On this page are computer-accessible forms for the graph C4[ 184, 4 ] = R_92(48,47).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {2, 3} under the group generated by the following permutations:

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

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

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