C4graphGraph forms for C4 [ 176, 1 ] = W(88,2)

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On this page are computer-accessible forms for the graph C4[ 176, 1 ] = W(88,2).

(I) Following is a form readable by MAGMA:

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

(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: (30, 118)
b: (86, 174)
c: (64, 152)
d: (7, 95)
e: (10, 98)
f: (29, 117)
g: (38, 126)
h: (32, 120)
m: (6, 94)
n1: (37, 125)
a1: (42, 130)
b1: (78, 166)
c1: (82, 170)
d1: (28, 116)
e1: (13, 101)
f1: (5, 93)
g1: (36, 124)
h1: (40, 128)
m1: (19, 107)
n2: (15, 103)
a2: (67, 155)
b2: (85, 173)
c2: (84, 172)
d2: (72, 160)
e2: (56, 144)
f2: (47, 135)
g2: (49, 137)
h2: (4, 92)
m2: (35, 123)
n3: (45, 133)
a3: (22, 110)
b3: (26, 114)
c3: (9, 97)
d3: (75, 163)
e3: (87, 175)
f3: (52, 140)
g3: (71, 159)
h3: (57, 145)
m3: (18, 106)
n4: (8, 96)
a4: (39, 127)
b4: (2, 88)(3, 87)(4, 86)(5, 85)(6, 84)(7, 83)(8, 82)(9, 81)(10, 80)(11, 79)(12, 78)(13, 77)(14, 76)(15, 75)(16, 74)(17, 73)(18, 72)(19, 71)(20, 70)(21, 69)(22, 68)(23, 67)(24, 66)(25, 65)(26, 64)(27, 63)(28, 62)(29, 61)(30, 60)(31, 59)(32, 58)(33, 57)(34, 56)(35, 55)(36, 54)(37, 53)(38, 52)(39, 51)(40, 50)(41, 49)(42, 48)(43, 47)(44, 46)(90, 176)(91, 175)(92, 174)(93, 173)(94, 172)(95, 171)(96, 170)(97, 169)(98, 168)(99, 167)(100, 166)(101, 165)(102, 164)(103, 163)(104, 162)(105, 161)(106, 160)(107, 159)(108, 158)(109, 157)(110, 156)(111, 155)(112, 154)(113, 153)(114, 152)(115, 151)(116, 150)(117, 149)(118, 148)(119, 147)(120, 146)(121, 145)(122, 144)(123, 143)(124, 142)(125, 141)(126, 140)(127, 139)(128, 138)(129, 137)(130, 136)(131, 135)(132, 134)
c4: (66, 154)
d4: (3, 91)
e4: (34, 122)
f4: (70, 158)
g4: (21, 109)
h4: (46, 134)
m4: (59, 147)
n5: (62, 150)
a5: (88, 176)
b5: (68, 156)
c5: (12, 100)
d5: (44, 132)
e5: (27, 115)
f5: (31, 119)
g5: (81, 169)
h5: (33, 121)
m5: (53, 141)
n6: (2, 90)
a6: (80, 168)
b6: (24, 112)
c6: (63, 151)
d6: (20, 108)
e6: (77, 165)
f6: (60, 148)
g6: (74, 162)
h6: (17, 105)
m6: (23, 111)
n7: (48, 136)
a7: (83, 171)
b7: (61, 149)
c7: (11, 99)
d7: (16, 104)
e7: (65, 153)
f7: (69, 157)
g7: (55, 143)
h7: (51, 139)
m7: (50, 138)
n8: (58, 146)
a8: (79, 167)
b8: (41, 129)
c8: (73, 161)
d8: (76, 164)
e8: (14, 102)
f8: (25, 113)
g8: (54, 142)
h8: (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)

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

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