Graph forms
for C4 [ 200, 29 ] = SDD({4,4}_5,5)
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On this page are computer-accessible forms for the graph C4[ 200, 29 ] =
SDD({4,4}_5,5).
(I) Following is a form readable by MAGMA:
g:=Graph<200|{ {82, 114}, {80, 113}, {64, 116}, {75, 127}, {74, 125}, {72, 115},
{46, 111}, {54, 119}, {61, 124}, {44, 110}, {35, 103}, {32, 102}, {45, 106},
{34, 107}, {37, 117}, {32, 113}, {35, 114}, {58, 105}, {41, 127}, {40, 127},
{36, 124}, {32, 121}, {39, 126}, {35, 122}, {33, 123}, {34, 120}, {37, 126},
{38, 125}, {39, 123}, {49, 108}, {33, 126}, {10, 106}, {26, 122}, {20, 117}, {4,
102}, {18, 112}, {15, 109}, {14, 108}, {11, 105}, {5, 103}, {22, 117}, {26,
121}, {1, 101}, {23, 115}, {18, 119}, {25, 124}, {1, 103}, {13, 107}, {12, 106},
{1, 102}, {26, 125}, {24, 127}, {19, 116}, {9, 110}, {8, 111}, {2, 101}, {3,
107}, {31, 119}, {22, 126}, {21, 125}, {7, 110}, {27, 113}, {30, 116}, {1, 106},
{3, 104}, {2, 105}, {10, 102}, {23, 123}, {21, 121}, {10, 103}, {2, 108}, {29,
115}, {28, 114}, {6, 104}, {3, 109}, {10, 101}, {25, 118}, {21, 122}, {7, 118},
{9, 120}, {15, 124}, {25, 109}, {4, 113}, {13, 120}, {6, 115}, {2, 116}, {19,
101}, {3, 117}, {5, 114}, {7, 112}, {8, 112}, {9, 112}, {20, 109}, {15, 118},
{19, 105}, {20, 104}, {4, 121}, {18, 111}, {6, 123}, {16, 110}, {17, 111}, {5,
122}, {23, 104}, {20, 107}, {19, 108}, {9, 118}, {8, 119}, {7, 120}, {8, 136},
{17, 145}, {54, 182}, {55, 183}, {56, 184}, {57, 185}, {59, 187}, {60, 188},
{14, 143}, {16, 145}, {67, 194}, {73, 200}, {31, 157}, {52, 182}, {12, 143},
{43, 168}, {33, 162}, {27, 152}, {17, 146}, {55, 180}, {62, 189}, {65, 194},
{36, 160}, {40, 172}, {51, 183}, {11, 142}, {40, 173}, {39, 162}, {30, 155},
{29, 152}, {28, 153}, {63, 186}, {47, 169}, {61, 187}, {29, 154}, {38, 161},
{51, 180}, {71, 192}, {79, 199}, {73, 192}, {11, 129}, {38, 172}, {22, 156},
{15, 133}, {14, 132}, {76, 198}, {79, 197}, {40, 163}, {45, 166}, {44, 167},
{38, 170}, {56, 180}, {62, 178}, {77, 193}, {4, 137}, {41, 164}, {6, 139}, {12,
130}, {13, 131}, {5, 138}, {48, 191}, {53, 186}, {53, 165}, {28, 141}, {84,
197}, {57, 168}, {43, 185}, {86, 196}, {53, 167}, {13, 158}, {86, 197}, {85,
198}, {84, 199}, {83, 192}, {30, 138}, {21, 128}, {24, 141}, {16, 134}, {17,
135}, {87, 192}, {24, 128}, {92, 196}, {63, 167}, {90, 195}, {18, 136}, {95,
197}, {91, 193}, {47, 181}, {31, 133}, {26, 128}, {22, 140}, {63, 165}, {89,
194}, {95, 196}, {23, 139}, {25, 133}, {52, 168}, {52, 169}, {90, 199}, {59,
166}, {61, 160}, {14, 144}, {36, 187}, {94, 193}, {92, 195}, {87, 200}, {58,
165}, {28, 188}, {34, 131}, {98, 195}, {49, 144}, {50, 147}, {45, 143}, {96,
194}, {50, 144}, {60, 158}, {43, 136}, {100, 199}, {30, 186}, {42, 142}, {41,
141}, {48, 149}, {99, 198}, {50, 151}, {48, 150}, {98, 196}, {59, 157}, {48,
151}, {100, 195}, {97, 198}, {60, 155}, {31, 182}, {97, 200}, {46, 135}, {41,
128}, {37, 140}, {35, 138}, {32, 137}, {12, 166}, {44, 134}, {62, 148}, {47,
132}, {99, 200}, {54, 157}, {62, 146}, {57, 148}, {11, 165}, {36, 139}, {45,
130}, {60, 140}, {27, 170}, {55, 134}, {57, 136}, {51, 129}, {59, 137}, {54,
133}, {58, 142}, {49, 132}, {51, 134}, {29, 171}, {52, 130}, {53, 131}, {55,
129}, {61, 139}, {16, 167}, {39, 159}, {37, 156}, {42, 147}, {42, 144}, {47,
149}, {27, 160}, {58, 129}, {24, 164}, {46, 146}, {34, 158}, {50, 142}, {63,
131}, {42, 151}, {44, 145}, {33, 159}, {49, 143}, {43, 148}, {46, 145}, {56,
135}, {68, 132}, {88, 157}, {80, 152}, {64, 138}, {100, 174}, {85, 159}, {83,
153}, {81, 155}, {82, 153}, {84, 154}, {81, 158}, {89, 150}, {83, 156}, {66,
146}, {69, 149}, {72, 152}, {68, 149}, {88, 137}, {65, 147}, {69, 151}, {72,
154}, {69, 150}, {76, 159}, {67, 150}, {79, 154}, {66, 148}, {96, 183}, {98,
181}, {94, 135}, {100, 189}, {97, 184}, {64, 155}, {99, 184}, {98, 185}, {71,
156}, {81, 140}, {99, 190}, {71, 153}, {96, 190}, {82, 141}, {97, 190}, {93,
130}, {74, 170}, {95, 191}, {78, 174}, {72, 171}, {88, 187}, {76, 175}, {70,
162}, {85, 177}, {78, 171}, {92, 185}, {74, 172}, {94, 184}, {75, 173}, {75,
172}, {90, 189}, {87, 176}, {70, 174}, {91, 179}, {71, 175}, {75, 163}, {86,
191}, {92, 181}, {91, 178}, {89, 176}, {91, 177}, {94, 180}, {74, 161}, {93,
182}, {78, 162}, {68, 169}, {81, 188}, {70, 171}, {73, 164}, {67, 173}, {82,
188}, {79, 161}, {66, 178}, {80, 160}, {68, 181}, {67, 176}, {96, 147}, {87,
164}, {89, 173}, {93, 169}, {90, 174}, {70, 179}, {93, 168}, {86, 163}, {84,
161}, {65, 183}, {56, 193}, {73, 176}, {64, 186}, {85, 175}, {80, 170}, {69,
191}, {77, 177}, {95, 163}, {83, 175}, {76, 177}, {78, 179}, {77, 179}, {88,
166}, {65, 190}, {66, 189}, {77, 178} }>;
(II) A more general form is to represent the graph as the orbit of {82, 114}
under the group generated by the following permutations:
a: (16, 44) (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: (48, 69)
c: (24, 41)
d: (12, 45)
e: (65, 96)
f: (15, 25)
g: (77, 91)
h: (1, 2, 14, 42, 48, 67, 40, 24, 21, 5)(3, 15, 7, 8, 17, 62, 77, 70, 33, 6)(4,
30, 12, 11, 47, 65, 86, 73, 38, 28)(9, 18, 46, 66, 91, 78, 39, 23, 20, 25)(10,
19, 49, 50, 69, 89, 75, 41, 26, 35)(13, 31, 16, 43, 56, 90, 76, 29, 22, 36)(27,
60, 59, 53, 52, 51, 92, 97, 79, 71)(32, 64, 45, 58, 68, 96, 95, 87, 74, 82)(34,
54, 44, 57, 94, 100, 85, 72, 37, 61)(55, 98, 99, 84, 83, 80, 81, 88, 63,
93)(101, 108, 144, 151, 150, 173, 127, 128, 122, 103)(102, 116, 143, 142, 149,
194, 163, 164, 125, 114)(104, 109, 118, 112, 111, 146, 178, 179, 162, 123)(105,
132, 147, 191, 176, 172, 141, 121, 138, 106)(107, 133, 110, 136, 135, 189, 177,
171, 126, 139)(113, 155, 166, 165, 169, 183, 196, 200, 161, 153)(115, 117, 124,
120, 119, 145, 148, 193, 174, 159)(129, 181, 190, 197, 192, 170, 188, 137, 186,
130)(131, 182, 134, 185, 184, 199, 175, 152, 140, 187)(154, 156, 160, 158, 157,
167, 168, 180, 195, 198)
m: (8, 18)
n1: (53, 63)
a1: (97, 99)
b1: (90, 100)
c1: (3, 20)
d1: (2, 5)(3, 7)(4, 12)(6, 8)(9, 20)(11, 28)(14, 21)(16, 22)(17, 33)(18, 23)(19,
35)(24, 42)(26, 49)(27, 52)(29, 43)(31, 36)(32, 45)(37, 44)(38, 47)(39, 46)(40,
48)(41, 50)(51, 71)(53, 60)(54, 61)(55, 83)(56, 76)(57, 72)(58, 82)(62, 70)(63,
81)(65, 73)(66, 78)(68, 74)(69, 75)(79, 92)(80, 93)(84, 98)(85, 94)(87, 96)(101,
103)(102, 106)(104, 112)(105, 114)(107, 120)(108, 122)(109, 118)(110, 117)(111,
123)(113, 130)(115, 136)(116, 138)(119, 139)(121, 143)(124, 133)(125, 132)(126,
145)(127, 151)(128, 144)(129, 153)(131, 158)(134, 156)(135, 159)(137, 166)(140,
167)(141, 142)(146, 162)(147, 164)(148, 171)(149, 172)(150, 173)(152, 168)(154,
185)(155, 186)(157, 187)(160, 182)(161, 181)(163, 191)(165, 188)(169, 170)(174,
189)(175, 180)(176, 194)(177, 193)(178, 179)(183, 192)(184, 198)(190, 200)(195,
199)(196, 197)
e1: (29, 72)
f1: (30, 64)
g1: (92, 98)
h1: (22, 37)
m1: (33, 39)
n2: (59, 88)
a2: (62, 66)
b2: (2, 4)(3, 67)(6, 65)(7, 86)(8, 92)(9, 95)(11, 27)(13, 40)(14, 59)(15,
48)(16, 79)(17, 90)(18, 98)(19, 32)(20, 89)(21, 30)(22, 73)(23, 96)(24, 60)(25,
69)(26, 64)(29, 51)(31, 47)(33, 97)(34, 75)(36, 42)(37, 87)(38, 53)(39, 99)(41,
81)(44, 84)(46, 100)(49, 88)(50, 61)(54, 68)(55, 72)(56, 70)(58, 80)(63, 74)(78,
94)(101, 102)(104, 194)(105, 113)(107, 173)(108, 137)(109, 150)(110, 197)(111,
195)(112, 196)(115, 183)(116, 121)(117, 176)(118, 191)(119, 181)(120, 163)(122,
138)(123, 190)(124, 151)(125, 186)(126, 200)(127, 158)(128, 155)(129, 152)(131,
172)(132, 157)(133, 149)(134, 154)(135, 174)(136, 185)(139, 147)(140, 164)(141,
188)(142, 160)(143, 166)(144, 187)(145, 199)(146, 189)(156, 192)(159, 198)(161,
167)(162, 184)(165, 170)(169, 182)(171, 180)(179, 193)
c2: (60, 81)
d2: (36, 61)
e2: (47, 68)
f2: (79, 84)
g2: (71, 83)
h2: (42, 50)
m2: (11, 58)
n3: (86, 95)
a3: (4, 32)
b3: (13, 34)
c3: (70, 78)
d3: (56, 94)
e3: (7, 9)
f3: (40, 75)
g3: (31, 54)
h3: (5, 35)
m3: (52, 93)
n4: (14, 49)
a4: (28, 82)
b4: (76, 85)
c4: (17, 46)
d4: (51, 55)
e4: (38, 74)
f4: (2, 4)(3, 7)(5, 12)(6, 16)(8, 22)(9, 20)(11, 27)(13, 15)(14, 21)(17, 33)(18,
37)(19, 32)(23, 44)(24, 47)(25, 34)(26, 49)(28, 52)(29, 51)(30, 59)(31, 60)(35,
45)(36, 53)(38, 42)(39, 46)(40, 48)(41, 68)(43, 71)(50, 74)(54, 81)(55, 72)(56,
70)(57, 83)(58, 80)(61, 63)(62, 76)(64, 88)(65, 79)(66, 85)(67, 86)(69, 75)(73,
92)(78, 94)(82, 93)(84, 96)(87, 98)(89, 95)(90, 97)(99, 100)(101, 102)(103,
106)(104, 110)(105, 113)(107, 118)(108, 121)(109, 120)(111, 126)(112, 117)(114,
130)(115, 134)(116, 137)(119, 140)(122, 143)(123, 145)(124, 131)(125, 144)(127,
149)(128, 132)(129, 152)(133, 158)(135, 162)(136, 156)(138, 166)(139, 167)(141,
169)(142, 170)(146, 159)(147, 161)(148, 175)(150, 163)(151, 172)(153, 168)(154,
183)(155, 157)(160, 165)(164, 181)(171, 180)(173, 191)(174, 184)(176, 196)(177,
178)(179, 193)(182, 188)(185, 192)(186, 187)(189, 198)(190, 199)(194, 197)(195,
200)
g4: (21, 26)
h4: (27, 80)
m4: (73, 87)
n5: (67, 89)
a5: (2, 19)
b5: (43, 57)
C4[ 200, 29 ]
200
-1 101 102 103 106
-2 101 105 116 108
-3 104 117 107 109
-4 121 102 113 137
-5 122 103 114 138
-6 123 104 115 139
-7 110 112 118 120
-8 111 112 136 119
-9 110 112 118 120
-10 101 102 103 106
-11 165 105 129 142
-12 143 166 106 130
-13 158 107 120 131
-14 132 143 144 108
-15 133 124 118 109
-16 110 134 145 167
-17 111 145 135 146
-18 111 112 136 119
-19 101 105 116 108
-20 104 117 107 109
-21 121 122 125 128
-22 156 126 117 140
-23 123 104 115 139
-24 127 128 141 164
-25 133 124 118 109
-26 121 122 125 128
-27 113 170 160 152
-28 188 114 141 153
-29 154 115 171 152
-30 155 116 138 186
-31 133 157 182 119
-32 121 102 113 137
-33 123 126 159 162
-34 158 107 120 131
-35 122 103 114 138
-36 187 124 160 139
-37 156 126 117 140
-38 125 170 161 172
-39 123 126 159 162
-40 127 172 173 163
-41 127 128 141 164
-42 144 147 151 142
-43 168 136 148 185
-44 110 134 145 167
-45 143 166 106 130
-46 111 145 135 146
-47 132 169 181 149
-48 191 149 150 151
-49 132 143 144 108
-50 144 147 151 142
-51 134 180 183 129
-52 168 169 182 130
-53 165 167 131 186
-54 133 157 182 119
-55 134 180 183 129
-56 135 180 193 184
-57 168 136 148 185
-58 165 105 129 142
-59 187 166 157 137
-60 155 188 158 140
-61 187 124 160 139
-62 178 189 146 148
-63 165 167 131 186
-64 155 116 138 186
-65 190 147 183 194
-66 178 189 146 148
-67 176 150 194 173
-68 132 169 181 149
-69 191 149 150 151
-70 179 171 162 174
-71 156 192 153 175
-72 154 115 171 152
-73 176 200 192 164
-74 125 170 161 172
-75 127 172 173 163
-76 198 177 159 175
-77 177 178 179 193
-78 179 171 162 174
-79 154 199 161 197
-80 113 170 160 152
-81 155 188 158 140
-82 188 114 141 153
-83 156 192 153 175
-84 154 199 161 197
-85 198 177 159 175
-86 191 163 196 197
-87 176 200 192 164
-88 187 166 157 137
-89 176 150 194 173
-90 199 189 195 174
-91 177 178 179 193
-92 181 195 185 196
-93 168 169 182 130
-94 135 180 193 184
-95 191 163 196 197
-96 190 147 183 194
-97 198 200 190 184
-98 181 195 185 196
-99 198 200 190 184
-100 199 189 195 174
-101 1 2 19 10
-102 1 4 10 32
-103 1 35 5 10
-104 23 3 6 20
-105 11 2 58 19
-106 1 12 45 10
-107 34 13 3 20
-108 2 14 49 19
-109 3 25 15 20
-110 44 16 7 9
-111 46 17 18 8
-112 7 18 8 9
-113 80 4 27 32
-114 35 5 82 28
-115 23 6 72 29
-116 2 19 30 64
-117 22 3 37 20
-118 25 15 7 9
-119 18 8 31 54
-120 34 13 7 9
-121 4 26 21 32
-122 35 26 5 21
-123 33 23 6 39
-124 25 36 15 61
-125 26 38 74 21
-126 22 33 37 39
-127 24 40 41 75
-128 24 26 41 21
-129 11 55 58 51
-130 12 45 93 52
-131 34 13 63 53
-132 68 14 47 49
-133 25 15 31 54
-134 44 55 16 51
-135 56 46 17 94
-136 57 18 8 43
-137 88 4 59 32
-138 35 5 30 64
-139 23 36 6 61
-140 22 37 81 60
-141 24 82 28 41
-142 11 58 50 42
-143 12 45 14 49
-144 14 49 50 42
-145 44 46 16 17
-146 66 46 17 62
-147 50 96 42 65
-148 66 57 62 43
-149 68 47 69 48
-150 67 89 69 48
-151 69 48 50 42
-152 80 27 72 29
-153 71 82 28 83
-154 79 72 29 84
-155 81 60 30 64
-156 22 37 71 83
-157 88 59 31 54
-158 34 13 81 60
-159 33 39 85 76
-160 36 80 27 61
-161 79 38 84 74
-162 33 78 70 39
-163 40 95 75 86
-164 24 73 41 87
-165 11 58 63 53
-166 88 12 45 59
-167 44 16 63 53
-168 57 93 52 43
-169 68 47 93 52
-170 80 27 38 74
-171 78 70 72 29
-172 38 40 74 75
-173 67 89 40 75
-174 78 100 90 70
-175 71 83 85 76
-176 67 89 73 87
-177 77 91 85 76
-178 66 77 91 62
-179 77 78 91 70
-180 55 56 94 51
-181 68 47 92 98
-182 93 52 31 54
-183 55 51 96 65
-184 99 56 94 97
-185 57 92 43 98
-186 30 63 53 64
-187 88 36 59 61
-188 81 60 82 28
-189 66 100 90 62
-190 99 96 97 65
-191 69 48 95 86
-192 71 83 73 87
-193 77 56 91 94
-194 67 89 96 65
-195 100 90 92 98
-196 92 95 86 98
-197 79 84 95 86
-198 99 85 97 76
-199 100 79 90 84
-200 99 73 97 87
0