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On this page are computer-accessible forms for the graph C4[ 220, 13 ] = R_110(57,56).

(I) Following is a form readable by MAGMA:

g:=Graph<220|{ {2, 3}, {74, 75}, {72, 73}, {70, 71}, {68, 69}, {66, 67}, {64, 65}, {62, 63}, {60, 61}, {58, 59}, {56, 57}, {54, 55}, {52, 53}, {50, 51}, {48, 49}, {46, 47}, {44, 45}, {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}, {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}, {1, 2}, {73, 74}, {69, 70}, {65, 66}, {61, 62}, {57, 58}, {53, 54}, {49, 50}, {45, 46}, {5, 6}, {9, 10}, {13, 14}, {17, 18}, {21, 22}, {25, 26}, {29, 30}, {33, 34}, {37, 38}, {41, 42}, {77, 78}, {81, 82}, {85, 86}, {89, 90}, {93, 94}, {97, 98}, {101, 102}, {105, 106}, {109, 110}, {3, 4}, {67, 68}, {59, 60}, {51, 52}, {11, 12}, {19, 20}, {27, 28}, {35, 36}, {43, 44}, {75, 76}, {83, 84}, {91, 92}, {99, 100}, {107, 108}, {7, 8}, {71, 72}, {55, 56}, {23, 24}, {39, 40}, {87, 88}, {103, 104}, {15, 16}, {47, 48}, {79, 80}, {64, 117}, {74, 127}, {72, 125}, {66, 119}, {128, 182}, {137, 191}, {136, 190}, {129, 183}, {65, 118}, {73, 126}, {128, 184}, {135, 191}, {134, 190}, {133, 189}, {129, 185}, {130, 186}, {131, 187}, {132, 188}, {130, 184}, {135, 189}, {134, 188}, {131, 185}, {67, 120}, {71, 124}, {68, 121}, {70, 123}, {132, 186}, {133, 187}, {31, 32}, {69, 122}, {95, 96}, {136, 192}, {159, 215}, {158, 214}, {157, 213}, {156, 212}, {155, 211}, {154, 210}, {153, 209}, {152, 208}, {143, 199}, {142, 198}, {141, 197}, {140, 196}, {139, 195}, {138, 194}, {137, 193}, {138, 192}, {159, 213}, {158, 212}, {155, 209}, {154, 208}, {143, 197}, {142, 196}, {139, 193}, {59, 112}, {63, 116}, {60, 113}, {62, 115}, {140, 194}, {157, 211}, {156, 210}, {141, 195}, {61, 114}, {58, 111}, {144, 198}, {153, 207}, {152, 206}, {145, 199}, {144, 200}, {151, 207}, {150, 206}, {149, 205}, {148, 204}, {147, 203}, {146, 202}, {145, 201}, {146, 200}, {151, 205}, {150, 204}, {147, 201}, {148, 202}, {149, 203}, {1, 111}, {16, 126}, {17, 127}, {1, 110}, {2, 112}, {3, 113}, {6, 116}, {7, 117}, {10, 120}, {11, 121}, {14, 124}, {15, 125}, {4, 114}, {161, 215}, {160, 214}, {5, 115}, {12, 122}, {13, 123}, {160, 216}, {164, 220}, {163, 219}, {162, 218}, {161, 217}, {162, 216}, {166, 220}, {163, 217}, {8, 118}, {165, 219}, {164, 218}, {9, 119}, {63, 64}, {18, 128}, {63, 173}, {62, 172}, {59, 169}, {58, 168}, {55, 165}, {54, 164}, {51, 161}, {50, 160}, {19, 129}, {22, 132}, {23, 133}, {26, 136}, {27, 137}, {30, 140}, {31, 141}, {82, 192}, {83, 193}, {86, 196}, {87, 197}, {90, 200}, {91, 201}, {94, 204}, {95, 205}, {20, 130}, {61, 171}, {60, 170}, {53, 163}, {52, 162}, {21, 131}, {28, 138}, {29, 139}, {84, 194}, {85, 195}, {92, 202}, {93, 203}, {24, 134}, {57, 167}, {56, 166}, {25, 135}, {88, 198}, {89, 199}, {4, 167}, {8, 171}, {12, 175}, {16, 179}, {20, 183}, {24, 187}, {28, 191}, {1, 164}, {3, 166}, {9, 172}, {11, 174}, {17, 180}, {19, 182}, {25, 188}, {27, 190}, {2, 165}, {10, 173}, {18, 181}, {26, 189}, {5, 168}, {7, 170}, {21, 184}, {23, 186}, {32, 142}, {49, 159}, {48, 158}, {33, 143}, {96, 206}, {97, 207}, {6, 169}, {22, 185}, {34, 144}, {47, 157}, {46, 156}, {35, 145}, {38, 148}, {39, 149}, {42, 152}, {43, 153}, {98, 208}, {99, 209}, {102, 212}, {103, 213}, {106, 216}, {107, 217}, {110, 220}, {36, 146}, {45, 155}, {44, 154}, {37, 147}, {100, 210}, {101, 211}, {108, 218}, {109, 219}, {13, 176}, {15, 178}, {40, 150}, {41, 151}, {104, 214}, {105, 215}, {14, 177}, {111, 167}, {120, 176}, {121, 177}, {122, 178}, {123, 179}, {124, 180}, {125, 181}, {126, 182}, {127, 183}, {111, 165}, {122, 176}, {123, 177}, {126, 180}, {127, 181}, {75, 128}, {79, 132}, {91, 144}, {95, 148}, {107, 160}, {76, 129}, {78, 131}, {92, 145}, {94, 147}, {108, 161}, {110, 163}, {124, 178}, {125, 179}, {77, 130}, {93, 146}, {109, 162}, {80, 133}, {82, 135}, {88, 141}, {90, 143}, {112, 166}, {113, 167}, {120, 174}, {121, 175}, {81, 134}, {89, 142}, {112, 168}, {113, 169}, {114, 170}, {115, 171}, {116, 172}, {117, 173}, {118, 174}, {119, 175}, {114, 168}, {115, 169}, {118, 172}, {119, 173}, {83, 136}, {87, 140}, {29, 192}, {31, 194}, {84, 137}, {86, 139}, {116, 170}, {117, 171}, {30, 193}, {85, 138}, {32, 195}, {56, 219}, {52, 215}, {48, 211}, {44, 207}, {36, 199}, {40, 203}, {33, 196}, {57, 220}, {51, 214}, {49, 212}, {35, 198}, {41, 204}, {43, 206}, {34, 197}, {50, 213}, {42, 205}, {37, 200}, {55, 218}, {53, 216}, {39, 202}, {64, 174}, {65, 175}, {80, 190}, {81, 191}, {38, 201}, {54, 217}, {66, 176}, {71, 181}, {70, 180}, {67, 177}, {74, 184}, {75, 185}, {78, 188}, {79, 189}, {96, 149}, {98, 151}, {104, 157}, {106, 159}, {68, 178}, {69, 179}, {76, 186}, {77, 187}, {97, 150}, {105, 158}, {99, 152}, {103, 156}, {45, 208}, {47, 210}, {100, 153}, {102, 155}, {72, 182}, {73, 183}, {46, 209}, {101, 154} }>;

(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: (51, 160)(52, 216)(106, 215)(107, 161)
b: (36, 145)(37, 92)(38, 202)(91, 200)(93, 147)(146, 201)
c: (35, 144)(36, 200)(90, 199)(91, 145)
d: (48, 157)(49, 104)(50, 214)(103, 212)(105, 159)(158, 213)
e: (46, 155)(47, 102)(48, 212)(101, 210)(103, 157)(156, 211)
f: (8, 117)(9, 64)(10, 174)(63, 172)(65, 119)(118, 173)
g: (22, 131)(23, 78)(24, 188)(77, 186)(79, 133)(132, 187)
h: (16, 125)(17, 72)(18, 182)(71, 180)(73, 127)(126, 181)
m: (50, 159)(51, 106)(52, 216)(105, 214)(107, 161)(160, 215)
n1: (39, 148)(40, 204)(94, 203)(95, 149)
a1: (38, 147)(39, 94)(40, 204)(93, 202)(95, 149)(148, 203)
b1: (7, 116)(8, 172)(62, 171)(63, 117)
c1: (24, 133)(25, 80)(26, 190)(79, 188)(81, 135)(134, 189)
d1: (19, 128)(20, 184)(74, 183)(75, 129)
e1: (30, 139)(31, 86)(32, 196)(85, 194)(87, 141)(140, 195)
f1: (4, 113)(5, 60)(6, 170)(59, 168)(61, 115)(114, 169)
g1: (52, 161)(53, 108)(54, 218)(107, 216)(109, 163)(162, 217)
h1: (31, 140)(32, 196)(86, 195)(87, 141)
m1: (13, 122)(14, 178)(68, 177)(69, 123)
n2: (21, 130)(22, 186)(76, 185)(77, 131)
a2: (34, 143)(35, 90)(36, 200)(89, 198)(91, 145)(144, 199)
b2: (32, 141)(33, 88)(34, 198)(87, 196)(89, 143)(142, 197)
c2: (26, 135)(27, 82)(28, 192)(81, 190)(83, 137)(136, 191)
d2: (23, 132)(24, 188)(78, 187)(79, 133)
e2: (44, 153)(45, 100)(46, 210)(99, 208)(101, 155)(154, 209)
f2: (37, 146)(38, 202)(92, 201)(93, 147)
g2: (29, 138)(30, 194)(84, 193)(85, 139)
h2: (11, 120)(12, 176)(66, 175)(67, 121)
m2: (25, 134)(26, 190)(80, 189)(81, 135)
n3: (20, 129)(21, 76)(22, 186)(75, 184)(77, 131)(130, 185)
a3: (10, 119)(11, 66)(12, 176)(65, 174)(67, 121)(120, 175)
b3: (41, 150)(42, 206)(96, 205)(97, 151)
c3: (18, 127)(19, 74)(20, 184)(73, 182)(75, 129)(128, 183)
d3: (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, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220)
e3: (47, 156)(48, 212)(102, 211)(103, 157)
f3: (27, 136)(28, 192)(82, 191)(83, 137)
g3: (40, 149)(41, 96)(42, 206)(95, 204)(97, 151)(150, 205)
h3: (17, 126)(18, 182)(72, 181)(73, 127)
m3: (9, 118)(10, 174)(64, 173)(65, 119)
n4: (6, 115)(7, 62)(8, 172)(61, 170)(63, 117)(116, 171)
a4: (15, 124)(16, 180)(70, 179)(71, 125)
b4: (14, 123)(15, 70)(16, 180)(69, 178)(71, 125)(124, 179)
c4: (54, 163)(55, 219)(109, 218)(110, 164)
d4: (45, 154)(46, 210)(100, 209)(101, 155)
e4: (5, 114)(6, 170)(60, 169)(61, 115)
f4: (49, 158)(50, 214)(104, 213)(105, 159)
g4: (33, 142)(34, 198)(88, 197)(89, 143)
h4: (43, 152)(44, 208)(98, 207)(99, 153)
m4: (42, 151)(43, 98)(44, 208)(97, 206)(99, 153)(152, 207)
n5: (53, 162)(54, 218)(108, 217)(109, 163)
a5: (2, 164, 111, 110)(3, 54, 167, 163)(4, 53)(5, 52)(6, 51)(7, 50)(8, 49)(9, 48)(10, 47)(11, 46)(12, 45)(13, 44)(14, 43)(15, 42)(16, 41)(17, 40)(18, 39)(19, 38)(20, 37)(21, 36)(22, 35)(23, 34)(24, 33)(25, 32)(26, 31)(27, 30)(28, 29)(55, 57, 219, 166)(58, 109, 112, 218)(59, 108)(60, 107)(61, 106)(62, 105)(63, 104)(64, 103)(65, 102)(66, 101)(67, 100)(68, 99)(69, 98)(70, 97)(71, 96)(72, 95)(73, 94)(74, 93)(75, 92)(76, 91)(77, 90)(78, 89)(79, 88)(80, 87)(81, 86)(82, 85)(83, 84)(113, 217)(114, 216)(115, 215)(116, 214)(117, 213)(118, 212)(119, 211)(120, 210)(121, 209)(122, 208)(123, 207)(124, 206)(125, 205)(126, 204)(127, 203)(128, 202)(129, 201)(130, 200)(131, 199)(132, 198)(133, 197)(134, 196)(135, 195)(136, 194)(137, 193)(138, 192)(139, 191)(140, 190)(141, 189)(142, 188)(143, 187)(144, 186)(145, 185)(146, 184)(147, 183)(148, 182)(149, 181)(150, 180)(151, 179)(152, 178)(153, 177)(154, 176)(155, 175)(156, 174)(157, 173)(158, 172)(159, 171)(160, 170)(161, 169)(162, 168)(165, 220)
b5: (28, 137)(29, 84)(30, 194)(83, 192)(85, 139)(138, 193)
c5: (12, 121)(13, 68)(14, 178)(67, 176)(69, 123)(122, 177)

(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[ 220, 13 ]
220
-1 110 111 2 164
-2 165 1 112 3
-3 166 2 113 4
-4 167 3 114 5
-5 168 4 115 6
-6 169 5 116 7
-7 170 6 117 8
-8 171 7 118 9
-9 172 8 119 10
-10 11 173 9 120
-11 121 12 174 10
-12 11 122 13 175
-13 176 12 123 14
-14 177 13 124 15
-15 178 14 125 16
-16 179 15 126 17
-17 180 16 127 18
-18 181 17 128 19
-19 182 18 129 20
-20 183 19 130 21
-21 22 184 20 131
-22 132 23 185 21
-23 22 133 24 186
-24 187 23 134 25
-25 188 24 135 26
-26 189 25 136 27
-27 190 26 137 28
-28 191 27 138 29
-29 192 28 139 30
-30 193 29 140 31
-31 194 30 141 32
-32 33 195 31 142
-33 143 34 196 32
-34 33 144 35 197
-35 198 34 145 36
-36 199 35 146 37
-37 200 36 147 38
-38 201 37 148 39
-39 202 38 149 40
-40 203 39 150 41
-41 204 40 151 42
-42 205 41 152 43
-43 44 206 42 153
-44 154 45 207 43
-45 44 155 46 208
-46 209 45 156 47
-47 210 46 157 48
-48 211 47 158 49
-49 212 48 159 50
-50 213 49 160 51
-51 214 50 161 52
-52 215 51 162 53
-53 216 52 163 54
-54 55 217 53 164
-55 165 56 218 54
-56 55 166 57 219
-57 220 56 167 58
-58 111 57 168 59
-59 112 58 169 60
-60 113 59 170 61
-61 114 60 171 62
-62 115 61 172 63
-63 116 62 173 64
-64 117 63 174 65
-65 66 118 64 175
-66 176 67 119 65
-67 66 177 68 120
-68 121 67 178 69
-69 122 68 179 70
-70 123 69 180 71
-71 124 70 181 72
-72 125 71 182 73
-73 126 72 183 74
-74 127 73 184 75
-75 128 74 185 76
-76 77 129 75 186
-77 187 78 130 76
-78 77 188 79 131
-79 132 78 189 80
-80 133 79 190 81
-81 134 80 191 82
-82 135 81 192 83
-83 136 82 193 84
-84 137 83 194 85
-85 138 84 195 86
-86 139 85 196 87
-87 88 140 86 197
-88 198 89 141 87
-89 88 199 90 142
-90 143 89 200 91
-91 144 90 201 92
-92 145 91 202 93
-93 146 92 203 94
-94 147 93 204 95
-95 148 94 205 96
-96 149 95 206 97
-97 150 96 207 98
-98 99 151 97 208
-99 209 100 152 98
-100 99 210 101 153
-101 154 100 211 102
-102 155 101 212 103
-103 156 102 213 104
-104 157 103 214 105
-105 158 104 215 106
-106 159 105 216 107
-107 160 106 217 108
-108 161 107 218 109
-109 110 162 108 219
-110 220 1 163 109
-111 165 1 167 58
-112 166 2 168 59
-113 167 3 169 60
-114 168 4 170 61
-115 169 5 171 62
-116 170 6 172 63
-117 171 7 173 64
-118 172 8 174 65
-119 66 173 9 175
-120 176 67 174 10
-121 11 177 68 175
-122 176 12 178 69
-123 177 13 179 70
-124 178 14 180 71
-125 179 15 181 72
-126 180 16 182 73
-127 181 17 183 74
-128 182 18 184 75
-129 183 19 185 76
-130 77 184 20 186
-131 187 78 185 21
-132 22 188 79 186
-133 187 23 189 80
-134 188 24 190 81
-135 189 25 191 82
-136 190 26 192 83
-137 191 27 193 84
-138 192 28 194 85
-139 193 29 195 86
-140 194 30 196 87
-141 88 195 31 197
-142 198 89 196 32
-143 33 199 90 197
-144 198 34 200 91
-145 199 35 201 92
-146 200 36 202 93
-147 201 37 203 94
-148 202 38 204 95
-149 203 39 205 96
-150 204 40 206 97
-151 205 41 207 98
-152 99 206 42 208
-153 209 100 207 43
-154 44 210 101 208
-155 209 45 211 102
-156 210 46 212 103
-157 211 47 213 104
-158 212 48 214 105
-159 213 49 215 106
-160 214 50 216 107
-161 215 51 217 108
-162 216 52 218 109
-163 110 217 53 219
-164 220 1 218 54
-165 55 111 2 219
-166 220 56 112 3
-167 111 57 113 4
-168 112 58 114 5
-169 113 59 115 6
-170 114 60 116 7
-171 115 61 117 8
-172 116 62 118 9
-173 117 63 119 10
-174 11 118 64 120
-175 121 12 119 65
-176 66 122 13 120
-177 121 67 123 14
-178 122 68 124 15
-179 123 69 125 16
-180 124 70 126 17
-181 125 71 127 18
-182 126 72 128 19
-183 127 73 129 20
-184 128 74 130 21
-185 22 129 75 131
-186 132 23 130 76
-187 77 133 24 131
-188 132 78 134 25
-189 133 79 135 26
-190 134 80 136 27
-191 135 81 137 28
-192 136 82 138 29
-193 137 83 139 30
-194 138 84 140 31
-195 139 85 141 32
-196 33 140 86 142
-197 143 34 141 87
-198 88 144 35 142
-199 143 89 145 36
-200 144 90 146 37
-201 145 91 147 38
-202 146 92 148 39
-203 147 93 149 40
-204 148 94 150 41
-205 149 95 151 42
-206 150 96 152 43
-207 44 151 97 153
-208 154 45 152 98
-209 99 155 46 153
-210 154 100 156 47
-211 155 101 157 48
-212 156 102 158 49
-213 157 103 159 50
-214 158 104 160 51
-215 159 105 161 52
-216 160 106 162 53
-217 161 107 163 54
-218 55 162 108 164
-219 165 56 163 109
-220 110 166 57 164
0

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