C4graphGraph forms for C4 [ 176, 9 ] = PL(Curtain_22(1,11,2,12,13),[4^22,8^11])

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On this page are computer-accessible forms for the graph C4[ 176, 9 ] = PL(Curtain_22(1,11,2,12,13),[4^22,8^11]).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {74, 90} under the group generated by the following permutations:

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

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

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