Graph forms
for C4 [ 208, 22 ] = SDD({4,4}_6,4)
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On this page are computer-accessible forms for the graph C4[ 208, 22 ] =
SDD({4,4}_6,4).
(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}, {3, 131}, {66, 194}, {80, 208}, {40, 169}, {43,
170}, {6, 132}, {47, 173}, {41, 171}, {25, 154}, {47, 172}, {41, 170}, {31,
156}, {76, 207}, {34, 167}, {46, 171}, {33, 167}, {45, 171}, {57, 191}, {69,
195}, {16, 151}, {44, 171}, {32, 167}, {28, 155}, {73, 206}, {15, 135}, {32,
168}, {54, 190}, {56, 176}, {12, 134}, {35, 169}, {59, 177}, {19, 152}, {35,
168}, {59, 176}, {64, 203}, {70, 205}, {77, 198}, {9, 133}, {48, 188}, {38,
170}, {36, 168}, {60, 176}, {62, 178}, {72, 196}, {37, 168}, {61, 176}, {39,
169}, {51, 189}, {63, 177}, {75, 197}, {22, 153}, {38, 169}, {62, 177}, {67,
204}, {27, 139}, {42, 186}, {24, 138}, {30, 140}, {7, 148}, {10, 159}, {58,
175}, {9, 159}, {45, 187}, {33, 183}, {57, 175}, {4, 147}, {8, 159}, {56, 175},
{6, 158}, {95, 199}, {94, 198}, {93, 197}, {92, 196}, {91, 195}, {90, 194}, {89,
193}, {88, 192}, {54, 174}, {4, 157}, {95, 198}, {93, 196}, {91, 194}, {89,
192}, {52, 173}, {7, 158}, {55, 174}, {5, 159}, {53, 175}, {18, 136}, {5, 158},
{94, 197}, {90, 193}, {53, 174}, {13, 150}, {1, 157}, {50, 174}, {48, 172}, {36,
184}, {21, 137}, {49, 172}, {3, 157}, {51, 173}, {39, 185}, {78, 208}, {1, 158},
{92, 195}, {50, 173}, {10, 149}, {2, 157}, {36, 132}, {33, 131}, {39, 133}, {49,
146}, {55, 148}, {27, 191}, {24, 190}, {40, 143}, {104, 207}, {96, 199}, {52,
147}, {8, 160}, {103, 207}, {102, 206}, {101, 205}, {100, 204}, {99, 203}, {98,
202}, {97, 201}, {96, 200}, {21, 189}, {97, 200}, {103, 206}, {101, 204}, {99,
202}, {11, 161}, {45, 135}, {11, 160}, {102, 205}, {98, 201}, {37, 142}, {61,
150}, {12, 160}, {42, 134}, {14, 162}, {13, 160}, {15, 161}, {18, 188}, {14,
161}, {100, 203}, {34, 141}, {58, 149}, {9, 185}, {20, 164}, {18, 162}, {60,
140}, {16, 161}, {19, 162}, {17, 163}, {23, 165}, {57, 139}, {63, 141}, {17,
162}, {23, 164}, {2, 182}, {15, 187}, {3, 183}, {22, 163}, {12, 186}, {21, 163},
{20, 163}, {30, 166}, {104, 208}, {48, 136}, {28, 165}, {31, 166}, {29, 167},
{51, 137}, {29, 166}, {43, 144}, {24, 164}, {26, 166}, {54, 138}, {25, 164}, {6,
184}, {27, 165}, {26, 165}, {46, 145}, {4, 199}, {10, 201}, {68, 128}, {71,
129}, {13, 202}, {71, 128}, {72, 128}, {74, 130}, {73, 128}, {69, 143}, {75,
129}, {74, 129}, {79, 132}, {66, 142}, {95, 147}, {94, 146}, {93, 145}, {92,
144}, {78, 130}, {79, 131}, {80, 156}, {76, 129}, {95, 146}, {93, 144}, {7,
200}, {94, 145}, {31, 208}, {77, 130}, {78, 156}, {28, 207}, {92, 143}, {88,
139}, {84, 135}, {73, 154}, {80, 131}, {81, 133}, {91, 143}, {90, 142}, {89,
141}, {88, 140}, {82, 134}, {83, 135}, {81, 132}, {91, 142}, {89, 140}, {83,
134}, {25, 206}, {90, 141}, {64, 151}, {76, 155}, {82, 133}, {72, 144}, {75,
145}, {16, 203}, {22, 205}, {67, 152}, {84, 136}, {87, 139}, {86, 138}, {85,
137}, {85, 136}, {87, 138}, {30, 192}, {19, 204}, {86, 137}, {70, 153}, {77,
146}, {34, 193}, {37, 194}, {88, 191}, {80, 183}, {81, 185}, {87, 191}, {86,
190}, {85, 189}, {84, 188}, {83, 187}, {82, 186}, {81, 184}, {87, 190}, {85,
188}, {83, 186}, {40, 195}, {86, 189}, {46, 197}, {82, 185}, {43, 196}, {84,
187}, {66, 178}, {68, 180}, {64, 177}, {67, 178}, {65, 179}, {71, 181}, {52,
199}, {104, 155}, {100, 151}, {96, 147}, {58, 201}, {65, 178}, {71, 180}, {96,
148}, {104, 156}, {99, 151}, {98, 150}, {97, 149}, {70, 179}, {99, 150}, {97,
148}, {69, 179}, {49, 198}, {98, 149}, {61, 202}, {68, 179}, {79, 184}, {78,
182}, {79, 183}, {76, 181}, {77, 182}, {60, 192}, {103, 155}, {102, 154}, {101,
153}, {100, 152}, {72, 180}, {74, 182}, {73, 180}, {103, 154}, {101, 152}, {63,
193}, {75, 181}, {55, 200}, {102, 153}, {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) (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: (1, 3, 2, 4)(5, 33, 74, 52)(6, 80, 77, 96)(7, 79, 78, 95)(8, 34, 71, 51)(9,
29, 75, 50)(10, 32, 76, 47)(11, 63, 68, 21)(12, 89, 72, 86)(13, 90, 73, 85)(14,
64, 65, 22)(15, 59, 69, 20)(16, 62, 70, 17)(18, 99, 66, 102)(19, 100, 67,
101)(23, 45, 56, 40)(24, 83, 60, 92)(25, 84, 61, 91)(26, 46, 53, 39)(27, 41, 57,
38)(28, 44, 58, 35)(30, 93, 54, 82)(31, 94, 55, 81)(36, 104, 49, 97)(37, 103,
48, 98)(42, 88, 43, 87)(106, 131, 130, 147)(107, 115, 129, 121)(108, 141, 128,
137)(109, 125, 127, 111)(110, 151, 126, 153)(112, 135, 124, 143)(113, 119, 123,
117)(114, 145, 122, 133)(116, 155, 120, 149)(118, 139)(132, 156, 146, 148)(134,
140, 144, 138)(136, 150, 142, 154)(158, 183, 182, 199)(159, 167, 181, 173)(160,
193, 180, 189)(161, 177, 179, 163)(162, 203, 178, 205)(164, 187, 176, 195)(165,
171, 175, 169)(166, 197, 174, 185)(168, 207, 172, 201)(170, 191)(184, 208, 198,
200)(186, 192, 196, 190)(188, 202, 194, 206)
c: (130, 182)
d: (117, 169)
e: (134, 186)
f: (135, 187)
g: (152, 204)
h: (107, 159)
m: (143, 195)
n1: (112, 164)
a1: (144, 196)
b1: (109, 161)
c1: (121, 173)
d1: (113, 165)
e1: (122, 174)
f1: (148, 200)
g1: (153, 205)
h1: (131, 183)
m1: (118, 170)
n2: (149, 201)
a2: (140, 192)
b2: (105, 157)
c2: (142, 194)
d2: (129, 181)
e2: (128, 180)
f2: (108, 160)
g2: (138, 190)
h2: (150, 202)
m2: (2, 5)(3, 7)(4, 6)(8, 74)(9, 77)(10, 78)(11, 71)(12, 75)(13, 76)(14, 68)(15,
72)(16, 73)(17, 65)(18, 69)(19, 70)(20, 62)(21, 66)(22, 67)(23, 59)(24, 63)(25,
64)(26, 56)(27, 60)(28, 61)(29, 53)(30, 57)(31, 58)(32, 50)(33, 55)(34, 54)(35,
47)(36, 52)(37, 51)(38, 44)(39, 49)(40, 48)(42, 46)(43, 45)(79, 96)(80, 97)(81,
95)(82, 94)(83, 93)(84, 92)(85, 91)(86, 90)(87, 89)(98, 104)(99, 103)(100,
102)(105, 106)(107, 130)(108, 129)(109, 128)(110, 127)(111, 126)(112, 125)(113,
124)(114, 123)(115, 122)(116, 121)(117, 120)(118, 119)(131, 148)(132, 147)(133,
146)(134, 145)(135, 144)(136, 143)(137, 142)(138, 141)(139, 140)(149, 156)(150,
155)(151, 154)(152, 153)(157, 158)(159, 182)(160, 181)(161, 180)(162, 179)(163,
178)(164, 177)(165, 176)(166, 175)(167, 174)(168, 173)(169, 172)(170, 171)(183,
200)(184, 199)(185, 198)(186, 197)(187, 196)(188, 195)(189, 194)(190, 193)(191,
192)(201, 208)(202, 207)(203, 206)(204, 205)
n3: (147, 199)
a3: (137, 189)
b3: (151, 203)
c3: (155, 207)
d3: (139, 191)
e3: (116, 168)
f3: (124, 176)
g3: (146, 198)
h3: (126, 178)
m3: (115, 167)
n4: (133, 185)
a4: (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, 46, 43,
40, 37, 34, 30, 27, 24, 21, 18, 15, 12, 9, 6)(4, 77, 75, 72, 69, 66, 63, 60, 57,
54, 51, 48, 45, 42, 39, 36, 33, 31, 28, 25, 22, 19, 16, 13, 10, 7)(79, 80, 104,
103, 102, 101, 100, 99, 98, 97, 96, 95, 94, 93, 92, 91, 90, 89, 88, 87, 86, 85,
84, 83, 82, 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)
b4: (119, 171)
c4: (120, 172)
d4: (106, 158)
e4: (156, 208)
f4: (125, 177)
g4: (136, 188)
h4: (154, 206)
m4: (114, 166)
n5: (141, 193)
a5: (127, 179)
b5: (145, 197)
c5: (132, 184)
d5: (123, 175)
C4[ 208, 22 ]
208
-1 157 158 105 106
-2 157 105 182 130
-3 157 105 183 131
-4 199 157 147 105
-5 158 159 106 107
-6 132 158 106 184
-7 200 158 148 106
-8 159 160 107 108
-9 133 159 107 185
-10 201 159 149 107
-11 160 161 108 109
-12 134 160 108 186
-13 202 160 150 108
-14 110 161 162 109
-15 187 135 161 109
-16 203 161 151 109
-17 110 111 162 163
-18 110 188 136 162
-19 110 204 162 152
-20 111 112 163 164
-21 111 189 137 163
-22 111 205 163 153
-23 165 112 113 164
-24 112 190 138 164
-25 154 112 206 164
-26 165 166 113 114
-27 165 113 191 139
-28 165 155 113 207
-29 166 167 114 115
-30 166 114 192 140
-31 166 156 114 208
-32 167 168 115 116
-33 167 115 183 131
-34 167 115 193 141
-35 168 169 116 117
-36 132 168 116 184
-37 168 116 194 142
-38 169 170 117 118
-39 133 169 117 185
-40 143 169 117 195
-41 170 171 118 119
-42 134 170 118 186
-43 144 170 118 196
-44 171 172 119 120
-45 187 135 171 119
-46 145 171 119 197
-47 121 172 173 120
-48 188 136 172 120
-49 198 146 172 120
-50 121 122 173 174
-51 121 189 137 173
-52 121 199 147 173
-53 122 123 174 175
-54 122 190 138 174
-55 122 200 148 174
-56 176 123 124 175
-57 123 191 139 175
-58 123 201 149 175
-59 176 177 124 125
-60 176 124 192 140
-61 176 124 202 150
-62 177 178 125 126
-63 177 125 193 141
-64 177 125 203 151
-65 178 179 126 127
-66 178 126 194 142
-67 178 126 204 152
-68 179 180 127 128
-69 143 179 127 195
-70 179 127 205 153
-71 180 181 128 129
-72 144 180 128 196
-73 154 180 128 206
-74 181 182 129 130
-75 145 181 129 197
-76 155 181 129 207
-77 198 146 182 130
-78 156 182 130 208
-79 132 183 184 131
-80 156 183 131 208
-81 132 133 184 185
-82 133 134 185 186
-83 187 134 135 186
-84 187 188 135 136
-85 188 189 136 137
-86 189 190 137 138
-87 190 191 138 139
-88 191 192 139 140
-89 192 193 140 141
-90 193 194 141 142
-91 143 194 195 142
-92 143 144 195 196
-93 144 145 196 197
-94 198 145 146 197
-95 198 199 146 147
-96 199 200 147 148
-97 200 201 148 149
-98 201 202 149 150
-99 202 203 150 151
-100 203 204 151 152
-101 204 205 152 153
-102 154 205 206 153
-103 154 155 206 207
-104 155 156 207 208
-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 33 79 3 80
-132 79 36 81 6
-133 81 82 39 9
-134 12 82 83 42
-135 45 15 83 84
-136 48 18 84 85
-137 51 85 86 21
-138 24 86 54 87
-139 88 57 27 87
-140 88 89 60 30
-141 34 89 90 63
-142 66 90 91 37
-143 69 91 92 40
-144 92 93 72 43
-145 46 93 94 75
-146 77 49 94 95
-147 4 95 52 96
-148 55 7 96 97
-149 58 97 10 98
-150 99 13 61 98
-151 99 100 16 64
-152 67 100 101 19
-153 22 101 102 70
-154 25 102 103 73
-155 103 104 28 76
-156 78 80 104 31
-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 33 79 3 80
-184 79 36 81 6
-185 81 82 39 9
-186 12 82 83 42
-187 45 15 83 84
-188 48 18 84 85
-189 51 85 86 21
-190 24 86 54 87
-191 88 57 27 87
-192 88 89 60 30
-193 34 89 90 63
-194 66 90 91 37
-195 69 91 92 40
-196 92 93 72 43
-197 46 93 94 75
-198 77 49 94 95
-199 4 95 52 96
-200 55 7 96 97
-201 58 97 10 98
-202 99 13 61 98
-203 99 100 16 64
-204 67 100 101 19
-205 22 101 102 70
-206 25 102 103 73
-207 103 104 28 76
-208 78 80 104 31
0