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On this page are computer-accessible forms for the graph C4[ 176, 8 ] = PX(11,4).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {16, 31} under the group generated by the following permutations:

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

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

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