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