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On this page are computer-accessible forms for the graph C4[ 176, 6 ] = MPS(4,88;21).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {80, 91} under the group generated by the following permutations:

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

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

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