C4graphGraph forms for C4 [ 208, 23 ] = SDD(R_26(15,14))

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On this page are computer-accessible forms for the graph C4[ 208, 23 ] = SDD(R_26(15,14)).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {70, 127} under the group generated by the following permutations:

a: (110, 162)
b: (130, 182)
c: (1, 2, 74, 71, 68, 65, 62, 59, 56, 53, 50, 47, 44, 41, 38, 35, 32, 29, 26, 23, 20, 17, 14, 11, 8, 5)(3, 78, 76, 73, 70, 67, 64, 61, 58, 55, 52, 49, 45, 42, 39, 36, 33, 30, 27, 24, 21, 18, 15, 12, 9, 6)(4, 77, 75, 72, 69, 66, 63, 60, 57, 54, 51, 48, 46, 43, 40, 37, 34, 31, 28, 25, 22, 19, 16, 13, 10, 7)(79, 102, 100, 98, 96, 94, 92, 90, 88, 86, 84, 82, 80, 104, 103, 101, 99, 97, 95, 93, 91, 89, 87, 85, 83, 81)(105, 130, 129, 128, 127, 126, 125, 124, 123, 122, 121, 120, 119, 118, 117, 116, 115, 114, 113, 112, 111, 110, 109, 108, 107, 106)(131, 156, 155, 154, 153, 152, 151, 150, 149, 148, 147, 146, 145, 144, 143, 142, 141, 140, 139, 138, 137, 136, 135, 134, 133, 132)(157, 182, 181, 180, 179, 178, 177, 176, 175, 174, 173, 172, 171, 170, 169, 168, 167, 166, 165, 164, 163, 162, 161, 160, 159, 158)(183, 208, 207, 206, 205, 204, 203, 202, 201, 200, 199, 198, 197, 196, 195, 194, 193, 192, 191, 190, 189, 188, 187, 186, 185, 184)
d: (134, 186)
e: (135, 187)
f: (152, 204)
g: (107, 159)
h: (143, 195)
m: (26, 27)(29, 72)(30, 96)(31, 95)(32, 73)(33, 71)(34, 68)(35, 40)(36, 101)(37, 98)(65, 67)(69, 94)(70, 97)(74, 77)(75, 99)(76, 100)(114, 139)(115, 128)(116, 154)(127, 152)(129, 141)(140, 153)(166, 191)(167, 180)(168, 206)(179, 204)(181, 193)(192, 205)
n1: (112, 164)
a1: (144, 196)
b1: (121, 173)
c1: (20, 21)(23, 66)(24, 92)(25, 91)(26, 67)(27, 65)(28, 62)(29, 34)(30, 97)(31, 94)(59, 61)(63, 90)(64, 93)(68, 72)(69, 95)(70, 96)(112, 137)(113, 126)(114, 152)(125, 150)(127, 139)(138, 151)(164, 189)(165, 178)(166, 204)(177, 202)(179, 191)(190, 203)
d1: (113, 165)
e1: (122, 174)
f1: (148, 200)
g1: (153, 205)
h1: (5, 6)(8, 82)(9, 51)(10, 81)(11, 16)(12, 85)(13, 49)(44, 45)(47, 83)(48, 80)(50, 54)(52, 84)(107, 132)(108, 146)(120, 145)(121, 133)(159, 184)(160, 198)(172, 197)(173, 185)
m1: (2, 5)(3, 7)(4, 6)(8, 77)(9, 74)(10, 78)(11, 33)(12, 99)(13, 100)(14, 29)(15, 34)(16, 32)(17, 26)(18, 31)(19, 30)(20, 23)(21, 28)(22, 27)(24, 25)(35, 49)(36, 82)(37, 85)(38, 44)(39, 48)(40, 47)(42, 46)(43, 45)(50, 73)(51, 101)(52, 98)(53, 68)(54, 71)(55, 72)(56, 65)(57, 70)(58, 69)(59, 62)(60, 67)(61, 66)(63, 64)(75, 84)(76, 83)(80, 103)(81, 102)(86, 96)(87, 97)(88, 94)(89, 95)(90, 92)(91, 93)(105, 106)(107, 130)(108, 141)(109, 115)(110, 114)(111, 113)(116, 146)(117, 120)(118, 119)(121, 154)(122, 128)(123, 127)(124, 126)(129, 133)(131, 143)(132, 142)(134, 153)(135, 152)(136, 151)(137, 150)(138, 149)(139, 148)(140, 147)(144, 156)(145, 155)(157, 158)(159, 182)(160, 193)(161, 167)(162, 166)(163, 165)(168, 198)(169, 172)(170, 171)(173, 206)(174, 180)(175, 179)(176, 178)(181, 185)(183, 195)(184, 194)(186, 205)(187, 204)(188, 203)(189, 202)(190, 201)(191, 200)(192, 199)(196, 208)(197, 207)
n2: (131, 183)
a2: (118, 170)
b2: (149, 201)
c2: (140, 192)
d2: (105, 157)
e2: (142, 194)
f2: (129, 181)
g2: (14, 15)(17, 60)(18, 88)(19, 87)(20, 59)(21, 61)(22, 56)(23, 62)(24, 64)(25, 63)(26, 67)(27, 65)(28, 66)(29, 34)(30, 97)(31, 94)(53, 55)(57, 86)(58, 89)(68, 72)(69, 95)(70, 96)(90, 91)(92, 93)(110, 135)(111, 124)(112, 125)(113, 126)(114, 152)(123, 148)(127, 139)(136, 149)(137, 150)(138, 151)(162, 187)(163, 176)(164, 177)(165, 178)(166, 204)(175, 200)(179, 191)(188, 201)(189, 202)(190, 203)
h2: (128, 180)
m2: (108, 160)
n3: (138, 190)
a3: (150, 202)
b3: (147, 199)
c3: (137, 189)
d3: (151, 203)
e3: (155, 207)
f3: (17, 18)(20, 63)(21, 90)(22, 89)(23, 62)(24, 64)(25, 59)(26, 67)(27, 65)(28, 66)(29, 34)(30, 97)(31, 94)(56, 58)(60, 88)(61, 91)(68, 72)(69, 95)(70, 96)(92, 93)(111, 136)(112, 125)(113, 126)(114, 152)(124, 149)(127, 139)(137, 150)(138, 151)(163, 188)(164, 177)(165, 178)(166, 204)(176, 201)(179, 191)(189, 202)(190, 203)
g3: (11, 12)(14, 86)(15, 57)(16, 85)(17, 22)(18, 89)(19, 55)(50, 52)(53, 87)(54, 84)(56, 60)(58, 88)(109, 134)(110, 148)(122, 147)(123, 135)(161, 186)(162, 200)(174, 199)(175, 187)
h3: (29, 30)(32, 98)(33, 75)(34, 97)(35, 40)(36, 101)(37, 73)(68, 70)(71, 99)(72, 96)(74, 77)(76, 100)(115, 140)(116, 154)(128, 153)(129, 141)(167, 192)(168, 206)(180, 205)(181, 193)
m3: (139, 191)
n4: (116, 168)
a4: (124, 176)
b4: (146, 198)
c4: (23, 24)(26, 94)(27, 69)(28, 93)(29, 34)(30, 97)(31, 67)(62, 64)(65, 95)(66, 92)(68, 72)(70, 96)(113, 138)(114, 152)(126, 151)(127, 139)(165, 190)(166, 204)(178, 203)(179, 191)
d4: (133, 185)
e4: (119, 171)
f4: (106, 158)
g4: (156, 208)
h4: (8, 9)(11, 54)(12, 84)(13, 83)(14, 55)(15, 53)(16, 50)(17, 22)(18, 89)(19, 86)(47, 49)(51, 82)(52, 85)(56, 60)(57, 87)(58, 88)(108, 133)(109, 122)(110, 148)(121, 146)(123, 135)(134, 147)(160, 185)(161, 174)(162, 200)(173, 198)(175, 187)(186, 199)
m4: (136, 188)
n5: (154, 206)
a5: (114, 166)
b5: (141, 193)
c5: (127, 179)
d5: (145, 197)
e5: (132, 184)
f5: (123, 175)

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

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