Graph forms
for C4 [ 208, 20 ] = SDD(W(26,2))
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On this page are computer-accessible forms for the graph C4[ 208, 20 ] =
SDD(W(26,2)).
(I) Following is a form readable by MAGMA:
g:=Graph<208|{ {85, 116}, {55, 117}, {32, 106}, {57, 119}, {36, 107}, {33, 112},
{39, 118}, {36, 117}, {43, 121}, {44, 127}, {47, 124}, {61, 110}, {32, 116},
{42, 126}, {37, 125}, {38, 127}, {32, 122}, {33, 123}, {55, 109}, {33, 122},
{40, 115}, {35, 126}, {34, 124}, {36, 123}, {10, 106}, {10, 107}, {23, 118},
{12, 110}, {17, 115}, {16, 114}, {13, 111}, {10, 105}, {19, 112}, {18, 113},
{16, 115}, {10, 110}, {19, 119}, {9, 108}, {29, 120}, {24, 125}, {9, 111}, {25,
127}, {11, 109}, {21, 114}, {31, 120}, {30, 121}, {1, 105}, {21, 125}, {22,
127}, {1, 107}, {6, 108}, {1, 106}, {28, 119}, {23, 124}, {2, 105}, {3, 111},
{21, 121}, {27, 118}, {4, 106}, {26, 116}, {16, 126}, {5, 107}, {1, 110}, {3,
108}, {2, 109}, {4, 116}, {6, 118}, {5, 117}, {9, 120}, {2, 112}, {3, 113}, {14,
122}, {2, 119}, {14, 123}, {7, 114}, {8, 126}, {9, 113}, {6, 124}, {19, 105},
{8, 114}, {7, 125}, {3, 120}, {23, 108}, {20, 111}, {8, 115}, {4, 122}, {19,
109}, {15, 113}, {14, 112}, {11, 117}, {7, 121}, {5, 123}, {15, 143}, {54, 182},
{76, 204}, {12, 141}, {37, 164}, {52, 181}, {53, 180}, {57, 184}, {59, 186},
{71, 198}, {27, 153}, {30, 156}, {4, 135}, {43, 168}, {38, 165}, {14, 141}, {13,
142}, {8, 139}, {58, 185}, {79, 204}, {31, 155}, {46, 170}, {45, 169}, {67,
199}, {34, 167}, {54, 179}, {63, 186}, {64, 197}, {65, 196}, {22, 144}, {29,
155}, {28, 154}, {52, 178}, {77, 203}, {73, 206}, {47, 167}, {58, 178}, {11,
130}, {24, 145}, {13, 132}, {15, 133}, {62, 180}, {25, 146}, {45, 166}, {74,
193}, {73, 197}, {92, 208}, {5, 136}, {26, 151}, {7, 138}, {75, 198}, {56, 182},
{94, 208}, {64, 206}, {6, 137}, {44, 163}, {17, 158}, {12, 131}, {56, 183}, {72,
199}, {20, 132}, {95, 207}, {90, 202}, {88, 200}, {17, 128}, {94, 207}, {91,
202}, {88, 201}, {42, 187}, {39, 181}, {93, 207}, {91, 201}, {84, 198}, {11,
152}, {92, 207}, {90, 201}, {28, 136}, {41, 189}, {60, 168}, {17, 134}, {18,
133}, {24, 128}, {93, 197}, {35, 187}, {25, 129}, {51, 171}, {56, 160}, {58,
162}, {60, 164}, {26, 131}, {20, 142}, {95, 197}, {22, 140}, {16, 139}, {80,
203}, {48, 171}, {49, 170}, {50, 174}, {95, 195}, {18, 143}, {92, 193}, {61,
160}, {23, 137}, {93, 195}, {27, 133}, {50, 172}, {21, 138}, {94, 193}, {31,
191}, {48, 144}, {47, 143}, {44, 140}, {47, 142}, {29, 191}, {39, 133}, {49,
147}, {51, 144}, {57, 154}, {28, 184}, {104, 204}, {99, 199}, {50, 150}, {37,
128}, {103, 194}, {101, 192}, {98, 199}, {48, 149}, {49, 148}, {62, 155}, {50,
148}, {104, 206}, {102, 192}, {51, 149}, {32, 135}, {97, 198}, {38, 129}, {40,
128}, {101, 205}, {98, 202}, {96, 200}, {41, 129}, {26, 179}, {103, 206}, {99,
202}, {96, 201}, {104, 194}, {54, 157}, {103, 204}, {102, 205}, {12, 160}, {36,
136}, {34, 142}, {33, 141}, {13, 161}, {15, 162}, {102, 203}, {34, 143}, {27,
181}, {101, 203}, {40, 134}, {52, 154}, {53, 155}, {55, 152}, {18, 162}, {54,
134}, {61, 141}, {53, 132}, {57, 136}, {59, 138}, {35, 145}, {58, 137}, {37,
145}, {38, 146}, {20, 161}, {22, 163}, {55, 130}, {63, 138}, {30, 168}, {41,
159}, {40, 158}, {52, 130}, {42, 157}, {103, 208}, {43, 156}, {60, 139}, {31,
167}, {104, 208}, {29, 167}, {46, 148}, {62, 132}, {42, 145}, {24, 164}, {44,
144}, {41, 149}, {25, 165}, {46, 147}, {35, 157}, {45, 147}, {39, 153}, {61,
131}, {56, 135}, {87, 151}, {85, 151}, {69, 134}, {73, 140}, {82, 151}, {70,
129}, {88, 159}, {84, 156}, {87, 158}, {65, 139}, {83, 153}, {66, 137}, {83,
152}, {64, 140}, {82, 158}, {86, 152}, {86, 153}, {68, 148}, {67, 146}, {100,
181}, {97, 176}, {71, 150}, {68, 150}, {70, 149}, {85, 131}, {100, 178}, {98,
180}, {75, 156}, {99, 180}, {69, 157}, {102, 190}, {70, 159}, {74, 147}, {72,
146}, {101, 190}, {96, 188}, {30, 192}, {99, 189}, {89, 135}, {97, 190}, {98,
189}, {66, 162}, {87, 183}, {81, 177}, {77, 173}, {77, 172}, {81, 176}, {78,
175}, {79, 174}, {76, 174}, {77, 175}, {72, 171}, {74, 169}, {78, 170}, {91,
191}, {88, 188}, {65, 164}, {90, 191}, {82, 183}, {76, 169}, {64, 166}, {100,
130}, {85, 179}, {75, 173}, {79, 169}, {67, 171}, {68, 172}, {65, 168}, {82,
187}, {68, 174}, {83, 185}, {43, 192}, {83, 184}, {45, 193}, {87, 187}, {46,
194}, {74, 166}, {84, 186}, {89, 183}, {86, 184}, {73, 166}, {89, 182}, {86,
185}, {51, 195}, {66, 178}, {75, 186}, {63, 205}, {48, 195}, {49, 194}, {69,
182}, {72, 188}, {59, 205}, {62, 200}, {69, 179}, {71, 176}, {97, 150}, {60,
196}, {93, 165}, {71, 190}, {89, 160}, {84, 173}, {91, 161}, {95, 165}, {63,
196}, {90, 161}, {81, 170}, {66, 185}, {70, 189}, {80, 172}, {53, 200}, {94,
163}, {76, 177}, {80, 173}, {78, 176}, {100, 154}, {81, 175}, {79, 177}, {59,
196}, {96, 159}, {92, 163}, {80, 175}, {67, 188}, {78, 177} }>;
(II) A more general form is to represent the graph as the orbit of {85, 116}
under the group generated by the following permutations:
a: (90, 91) (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.
**************
&Graph **************
b: (52, 83)(86, 100)(130, 152)(153, 181)(154, 184)(178, 185)
c: (53, 90)(62, 91)(132, 161)(155, 191)(180, 202)(200, 201)
d: (64, 92)(73, 94)(140, 163)(166, 193)(197, 207)(206, 208)
e: (27, 39)
f: (46, 49)
g: (50, 78)(68, 81)(148, 170)(150, 176)(172, 175)(174, 177)
h: (25, 38)
m: (82, 87)
n1: (53, 62)
a1: (8, 24)(16, 37)(114, 125)(115, 128)(126, 145)(139, 164)
b1: (35, 42)
c1: (76, 79)
d1: (71, 77)(80, 97)(150, 172)(173, 198)(175, 176)(190, 203)
e1: (26, 56)(85, 89)(116, 135)(131, 160)(151, 183)(179, 182)
f1: (78, 81)
g1: (92, 94)
h1: (1, 2)(3, 8)(4, 11)(5, 14)(6, 17)(7, 13)(9, 16)(10, 19)(12, 28)(15, 35)(18,
42)(20, 21)(22, 46)(23, 40)(24, 34)(25, 50)(26, 52)(27, 54)(29, 60)(30, 53)(31,
65)(32, 55)(33, 36)(37, 47)(38, 68)(39, 69)(41, 71)(43, 62)(44, 49)(45, 64)(48,
78)(51, 81)(56, 83)(57, 61)(58, 82)(59, 90)(63, 91)(66, 87)(67, 77)(70, 97)(72,
80)(73, 74)(75, 88)(76, 93)(79, 95)(84, 96)(85, 100)(86, 89)(92, 103)(94,
104)(98, 101)(99, 102)(106, 109)(107, 112)(108, 115)(110, 119)(111, 114)(113,
126)(116, 130)(117, 122)(118, 134)(120, 139)(121, 132)(124, 128)(125, 142)(127,
148)(129, 150)(131, 154)(133, 157)(135, 152)(136, 141)(137, 158)(138, 161)(140,
147)(143, 145)(144, 170)(146, 172)(149, 176)(151, 178)(153, 182)(155, 168)(156,
200)(159, 198)(160, 184)(162, 187)(163, 194)(164, 167)(165, 174)(169, 197)(171,
175)(173, 188)(177, 195)(179, 181)(180, 192)(183, 185)(186, 201)(189, 190)(191,
196)(193, 206)(199, 203)(202, 205)(204, 207)
m1: (45, 74)
n2: (75, 101)(84, 102)(156, 192)(173, 203)(186, 205)(190, 198)
a2: (103, 104)
b2: (15, 18)
c2: (88, 96)
d2: (7, 60)(21, 65)(114, 139)(121, 168)(125, 164)(138, 196)
e2: (67, 72)
f2: (98, 99)
g2: (46, 76)(49, 79)(147, 169)(148, 174)(170, 177)(194, 204)
h2: (34, 47)
m2: (54, 82)(69, 87)(134, 158)(151, 179)(157, 187)(182, 183)
n3: (5, 36)
a3: (60, 65)
b3: (28, 57)
c3: (50, 68)
d3: (48, 51)
e3: (30, 59)(43, 63)(121, 138)(156, 186)(168, 196)(192, 205)
f3: (2, 4)(3, 7)(5, 12)(6, 8)(9, 21)(11, 26)(13, 30)(15, 24)(16, 23)(17, 27)(18,
37)(19, 32)(20, 43)(22, 45)(25, 46)(28, 56)(29, 59)(31, 63)(34, 60)(35, 58)(36,
61)(38, 49)(39, 40)(41, 50)(42, 66)(44, 74)(47, 65)(48, 76)(51, 79)(52, 54)(53,
75)(55, 85)(57, 89)(62, 84)(67, 78)(68, 70)(69, 100)(71, 88)(72, 81)(77, 98)(80,
99)(82, 83)(86, 87)(90, 101)(91, 102)(93, 103)(95, 104)(96, 97)(105, 106)(107,
110)(108, 114)(109, 116)(111, 121)(112, 122)(113, 125)(115, 118)(117, 131)(119,
135)(120, 138)(123, 141)(124, 139)(126, 137)(127, 147)(128, 133)(129, 148)(130,
179)(132, 156)(134, 181)(136, 160)(140, 166)(142, 168)(143, 164)(144, 169)(145,
162)(146, 170)(149, 174)(150, 159)(151, 152)(153, 158)(154, 182)(155, 186)(157,
178)(161, 192)(163, 193)(165, 194)(167, 196)(171, 177)(172, 189)(173, 180)(175,
199)(176, 188)(183, 184)(185, 187)(190, 201)(191, 205)(195, 204)(197, 206)(198,
200)(202, 203)(207, 208)
g3: (101, 102)
h3: (4, 12)(32, 61)(106, 110)(116, 131)(122, 141)(135, 160)
m3: (11, 28)(55, 57)(109, 119)(117, 136)(130, 154)(152, 184)
n4: (24, 37)
a4: (56, 89)
b4: (77, 80)
c4: (14, 33)
d4: (13, 29)(20, 31)(111, 120)(132, 155)(142, 167)(161, 191)
e4: (45, 103)(74, 104)(147, 194)(166, 206)(169, 204)(193, 208)
f4: (58, 66)
g4: (8, 16)
h4: (22, 44)
m4: (25, 48)(38, 51)(127, 144)(129, 149)(146, 171)(165, 195)
n5: (27, 58)(39, 66)(118, 137)(133, 162)(153, 185)(178, 181)
a5: (54, 69)
b5: (29, 31)
c5: (93, 95)
d5: (3, 9)
e5: (12, 61)
f5: (30, 43)
g5: (59, 63)
h5: (6, 15)(18, 23)(108, 113)(118, 133)(124, 143)(137, 162)
m5: (88, 98)(96, 99)(159, 189)(180, 200)(188, 199)(201, 202)
n6: (13, 20)
a6: (83, 86)
b6: (75, 84)
c6: (22, 93)(44, 95)(127, 165)(140, 197)(144, 195)(163, 207)
d6: (3, 34)(9, 47)(108, 124)(111, 142)(113, 143)(120, 167)
e6: (41, 67)(70, 72)(129, 146)(149, 171)(159, 188)(189, 199)
f6: (7, 21)
g6: (17, 35)(40, 42)(115, 126)(128, 145)(134, 157)(158, 187)
h6: (64, 73)
C4[ 208, 20 ]
208
-1 110 105 106 107
-2 112 105 119 109
-3 111 113 108 120
-4 122 135 116 106
-5 123 136 117 107
-6 124 137 118 108
-7 121 114 125 138
-8 114 115 126 139
-9 111 113 108 120
-10 110 105 106 107
-11 117 130 152 109
-12 110 160 141 131
-13 132 111 161 142
-14 122 112 123 141
-15 143 133 113 162
-16 114 115 126 139
-17 134 158 115 128
-18 143 133 113 162
-19 112 105 119 109
-20 132 111 161 142
-21 121 114 125 138
-22 144 127 140 163
-23 124 137 118 108
-24 145 125 128 164
-25 165 146 127 129
-26 179 116 151 131
-27 133 181 118 153
-28 154 136 184 119
-29 155 167 191 120
-30 121 156 168 192
-31 155 167 191 120
-32 122 135 116 106
-33 122 112 123 141
-34 143 167 124 142
-35 187 145 157 126
-36 123 136 117 107
-37 145 125 128 164
-38 165 146 127 129
-39 133 181 118 153
-40 134 158 115 128
-41 189 159 149 129
-42 187 145 157 126
-43 121 156 168 192
-44 144 127 140 163
-45 166 147 169 193
-46 147 148 170 194
-47 143 167 124 142
-48 144 149 171 195
-49 147 148 170 194
-50 148 150 172 174
-51 144 149 171 195
-52 154 178 181 130
-53 132 155 200 180
-54 134 157 179 182
-55 117 130 152 109
-56 135 160 182 183
-57 154 136 184 119
-58 178 137 162 185
-59 138 205 196 186
-60 168 139 196 164
-61 110 160 141 131
-62 132 155 200 180
-63 138 205 196 186
-64 166 140 206 197
-65 168 139 196 164
-66 178 137 162 185
-67 188 199 146 171
-68 148 150 172 174
-69 134 157 179 182
-70 189 159 149 129
-71 176 198 190 150
-72 188 199 146 171
-73 166 140 206 197
-74 166 147 169 193
-75 198 156 173 186
-76 177 169 204 174
-77 203 172 173 175
-78 176 177 170 175
-79 177 169 204 174
-80 203 172 173 175
-81 176 177 170 175
-82 187 158 183 151
-83 184 152 185 153
-84 198 156 173 186
-85 179 116 151 131
-86 184 152 185 153
-87 187 158 183 151
-88 188 200 201 159
-89 135 160 182 183
-90 201 191 202 161
-91 201 191 202 161
-92 193 163 207 208
-93 165 195 207 197
-94 193 163 207 208
-95 165 195 207 197
-96 188 200 201 159
-97 176 198 190 150
-98 199 189 180 202
-99 199 189 180 202
-100 154 178 181 130
-101 190 192 203 205
-102 190 192 203 205
-103 204 194 206 208
-104 204 194 206 208
-105 1 2 19 10
-106 1 4 10 32
-107 1 36 5 10
-108 23 3 6 9
-109 11 55 2 19
-110 1 12 61 10
-111 13 3 9 20
-112 33 2 14 19
-113 3 15 18 9
-114 16 7 8 21
-115 16 17 40 8
-116 4 26 85 32
-117 11 55 36 5
-118 23 27 6 39
-119 2 57 28 19
-120 3 29 9 31
-121 7 30 21 43
-122 33 14 4 32
-123 33 14 36 5
-124 23 34 47 6
-125 24 37 7 21
-126 35 16 8 42
-127 22 44 25 38
-128 24 37 17 40
-129 25 70 38 41
-130 11 55 100 52
-131 12 26 61 85
-132 13 62 20 53
-133 15 27 39 18
-134 69 17 40 54
-135 56 89 4 32
-136 57 36 5 28
-137 66 23 58 6
-138 59 7 63 21
-139 16 60 8 65
-140 22 44 73 64
-141 33 12 14 61
-142 34 13 47 20
-143 34 47 15 18
-144 22 44 48 51
-145 24 35 37 42
-146 67 25 38 72
-147 45 46 49 74
-148 46 68 49 50
-149 48 70 51 41
-150 68 71 50 97
-151 26 82 85 87
-152 11 55 83 86
-153 27 39 83 86
-154 100 57 28 52
-155 29 62 31 53
-156 84 30 75 43
-157 35 69 42 54
-158 82 17 40 87
-159 88 70 41 96
-160 12 56 89 61
-161 13 90 91 20
-162 66 58 15 18
-163 22 44 92 94
-164 24 37 60 65
-165 25 38 93 95
-166 45 73 74 64
-167 34 47 29 31
-168 60 30 43 65
-169 45 79 74 76
-170 78 46 81 49
-171 67 48 72 51
-172 77 68 80 50
-173 77 80 84 75
-174 68 79 50 76
-175 77 78 80 81
-176 78 81 71 97
-177 78 79 81 76
-178 66 100 58 52
-179 69 26 85 54
-180 99 62 53 98
-181 100 27 39 52
-182 56 89 69 54
-183 56 89 82 87
-184 57 28 83 86
-185 66 58 83 86
-186 59 84 63 75
-187 35 82 42 87
-188 88 67 72 96
-189 99 70 41 98
-190 101 102 71 97
-191 90 91 29 31
-192 101 102 30 43
-193 45 92 94 74
-194 46 103 49 104
-195 48 93 51 95
-196 59 60 63 65
-197 93 73 95 64
-198 71 84 75 97
-199 99 67 72 98
-200 88 62 96 53
-201 88 90 91 96
-202 99 90 91 98
-203 77 101 80 102
-204 79 103 104 76
-205 101 102 59 63
-206 103 104 73 64
-207 92 93 94 95
-208 92 103 104 94
0