Graph forms
for C4 [ 196, 6 ] = SDD({4,4}_7,0)
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On this page are computer-accessible forms for the graph C4[ 196, 6 ] =
SDD({4,4}_7,0).
(I) Following is a form readable by MAGMA:
g:=Graph<196|{ {66, 127}, {65, 127}, {64, 127}, {60, 124}, {61, 125}, {58, 123},
{63, 126}, {56, 122}, {57, 123}, {61, 126}, {62, 125}, {57, 124}, {48, 118},
{49, 119}, {59, 125}, {59, 124}, {50, 120}, {50, 121}, {51, 120}, {52, 127},
{52, 120}, {53, 121}, {55, 123}, {34, 111}, {48, 125}, {51, 126}, {55, 122},
{32, 110}, {33, 111}, {49, 126}, {53, 122}, {54, 121}, {42, 122}, {33, 112},
{40, 121}, {37, 119}, {46, 124}, {35, 112}, {34, 118}, {39, 115}, {37, 113},
{35, 119}, {32, 117}, {39, 114}, {36, 113}, {36, 114}, {38, 113}, {44, 123},
{44, 116}, {47, 119}, {45, 117}, {42, 115}, {47, 118}, {40, 114}, {41, 115},
{45, 118}, {46, 117}, {41, 116}, {38, 120}, {43, 117}, {43, 116}, {3, 99}, {5,
101}, {2, 99}, {15, 110}, {12, 109}, {5, 100}, {1, 99}, {6, 100}, {7, 100}, {20,
112}, {1, 100}, {9, 108}, {14, 104}, {4, 99}, {23, 112}, {15, 103}, {26, 114},
{3, 106}, {24, 113}, {14, 103}, {12, 102}, {30, 116}, {2, 105}, {13, 102}, {9,
101}, {11, 103}, {6, 107}, {11, 102}, {8, 101}, {8, 102}, {10, 101}, {28, 115},
{28, 108}, {31, 111}, {29, 109}, {26, 107}, {31, 110}, {24, 106}, {25, 107},
{29, 110}, {30, 109}, {25, 108}, {27, 109}, {16, 103}, {27, 108}, {17, 105},
{17, 104}, {18, 104}, {19, 104}, {21, 105}, {22, 106}, {18, 111}, {23, 106},
{22, 107}, {20, 105}, {30, 158}, {44, 172}, {33, 161}, {31, 159}, {16, 145},
{42, 171}, {33, 160}, {28, 157}, {19, 146}, {29, 159}, {40, 170}, {35, 161},
{34, 160}, {24, 155}, {46, 173}, {39, 164}, {29, 158}, {25, 157}, {39, 163},
{38, 162}, {52, 176}, {10, 143}, {34, 167}, {27, 158}, {25, 156}, {21, 147},
{36, 162}, {32, 166}, {27, 157}, {26, 156}, {36, 163}, {37, 162}, {47, 168},
{54, 177}, {16, 152}, {47, 167}, {46, 166}, {17, 153}, {60, 180}, {4, 141}, {44,
165}, {7, 142}, {58, 179}, {63, 182}, {19, 153}, {45, 167}, {22, 156}, {56,
178}, {17, 154}, {45, 166}, {40, 163}, {35, 168}, {18, 153}, {62, 181}, {23,
155}, {41, 165}, {22, 155}, {43, 166}, {41, 164}, {37, 168}, {20, 154}, {43,
165}, {42, 164}, {21, 154}, {38, 169}, {4, 148}, {15, 159}, {5, 149}, {62, 174},
{63, 175}, {60, 173}, {7, 149}, {12, 158}, {61, 175}, {5, 150}, {11, 152}, {6,
149}, {56, 171}, {61, 174}, {1, 149}, {84, 192}, {9, 157}, {57, 173}, {1, 148},
{57, 172}, {59, 174}, {2, 148}, {14, 152}, {58, 172}, {59, 173}, {3, 148}, {86,
193}, {15, 152}, {14, 153}, {48, 167}, {2, 154}, {3, 155}, {50, 170}, {49, 168},
{93, 196}, {90, 195}, {6, 156}, {88, 194}, {13, 151}, {51, 169}, {12, 151}, {50,
169}, {55, 172}, {10, 150}, {11, 151}, {51, 175}, {54, 170}, {55, 171}, {13,
144}, {52, 169}, {8, 150}, {95, 193}, {94, 192}, {48, 174}, {49, 175}, {53,
171}, {8, 151}, {95, 192}, {91, 196}, {9, 150}, {53, 170}, {96, 193}, {98, 195},
{96, 194}, {97, 195}, {97, 194}, {98, 196}, {18, 160}, {20, 161}, {23, 161},
{54, 128}, {7, 191}, {28, 164}, {58, 130}, {26, 163}, {56, 129}, {4, 190}, {24,
162}, {62, 132}, {63, 133}, {30, 165}, {31, 160}, {32, 159}, {60, 131}, {64,
128}, {74, 138}, {72, 137}, {77, 140}, {67, 129}, {67, 128}, {79, 140}, {68,
135}, {65, 133}, {66, 134}, {68, 128}, {69, 129}, {71, 131}, {71, 130}, {86,
144}, {69, 130}, {70, 129}, {76, 139}, {76, 132}, {91, 147}, {90, 146}, {78,
134}, {77, 133}, {74, 131}, {88, 145}, {79, 134}, {78, 135}, {10, 192}, {72,
130}, {73, 131}, {13, 193}, {73, 132}, {70, 136}, {93, 147}, {75, 133}, {75,
132}, {95, 144}, {19, 195}, {95, 143}, {94, 142}, {93, 141}, {21, 196}, {94,
143}, {92, 141}, {90, 139}, {16, 194}, {92, 142}, {89, 139}, {88, 138}, {82,
135}, {89, 140}, {80, 134}, {81, 135}, {91, 140}, {81, 136}, {83, 137}, {83,
136}, {84, 143}, {82, 142}, {87, 139}, {85, 137}, {84, 136}, {80, 141}, {87,
138}, {85, 138}, {86, 137}, {94, 191}, {92, 190}, {88, 187}, {93, 190}, {92,
191}, {89, 189}, {89, 188}, {90, 188}, {91, 189}, {80, 183}, {81, 185}, {81,
184}, {83, 186}, {82, 184}, {83, 185}, {87, 188}, {86, 186}, {87, 187}, {82,
191}, {84, 185}, {80, 190}, {85, 187}, {85, 186}, {64, 176}, {98, 146}, {97,
145}, {96, 144}, {77, 189}, {76, 188}, {64, 177}, {98, 147}, {96, 145}, {65,
176}, {67, 178}, {74, 187}, {66, 176}, {79, 189}, {67, 177}, {72, 186}, {71,
180}, {97, 146}, {70, 178}, {71, 179}, {66, 183}, {68, 177}, {69, 179}, {78,
184}, {65, 182}, {69, 178}, {79, 183}, {76, 181}, {78, 183}, {72, 179}, {77,
182}, {68, 184}, {73, 181}, {73, 180}, {75, 182}, {74, 180}, {75, 181}, {70,
185} }>;
(II) A more general form is to represent the graph as the orbit of {66, 127}
under the group generated by the following permutations:
a: (106, 155) (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: (138, 187)
c: (102, 151)
d: (131, 180)
e: (135, 184)
f: (114, 163)
g: (113, 162)
h: (118, 167)
m: (110, 159)
n1: (1, 3)(2, 4)(5, 24)(6, 22)(7, 23)(8, 38)(9, 36)(10, 37)(11, 52)(12, 50)(13,
51)(14, 66)(15, 64)(16, 65)(17, 80)(18, 78)(19, 79)(20, 92)(21, 93)(25, 26)(27,
40)(28, 39)(29, 54)(30, 53)(31, 68)(32, 67)(33, 82)(34, 81)(35, 94)(41, 42)(43,
56)(44, 55)(45, 70)(46, 69)(47, 84)(48, 83)(49, 95)(57, 58)(59, 72)(60, 71)(61,
86)(62, 85)(63, 96)(73, 74)(75, 88)(76, 87)(77, 97)(89, 90)(91, 98)(100,
106)(101, 113)(102, 120)(103, 127)(104, 134)(105, 141)(108, 114)(109, 121)(110,
128)(111, 135)(112, 142)(116, 122)(117, 129)(118, 136)(119, 143)(124, 130)(125,
137)(126, 144)(132, 138)(133, 145)(140, 146)(149, 155)(150, 162)(151, 169)(152,
176)(153, 183)(154, 190)(157, 163)(158, 170)(159, 177)(160, 184)(161, 191)(165,
171)(166, 178)(167, 185)(168, 192)(173, 179)(174, 186)(175, 193)(181, 187)(182,
194)(189, 195)
a1: (108, 157)
b1: (122, 171)
c1: (127, 176)
d1: (111, 160)
e1: (109, 158)
f1: (142, 191)
g1: (121, 170)
h1: (2, 5)(3, 6)(4, 7)(8, 17)(9, 20)(10, 21)(11, 14)(12, 18)(13, 19)(23, 25)(24,
26)(27, 33)(28, 35)(29, 31)(30, 34)(37, 39)(38, 40)(41, 47)(42, 49)(43, 45)(44,
48)(51, 53)(52, 54)(55, 61)(56, 63)(57, 59)(58, 62)(65, 67)(66, 68)(69, 75)(70,
77)(71, 73)(72, 76)(79, 81)(80, 82)(83, 89)(84, 91)(85, 87)(86, 90)(93, 94)(95,
98)(96, 97)(99, 100)(101, 105)(102, 104)(106, 107)(108, 112)(109, 111)(113,
114)(115, 119)(116, 118)(120, 121)(122, 126)(123, 125)(127, 128)(129, 133)(130,
132)(134, 135)(136, 140)(137, 139)(141, 142)(143, 147)(144, 146)(148, 149)(150,
154)(151, 153)(155, 156)(157, 161)(158, 160)(162, 163)(164, 168)(165, 167)(169,
170)(171, 175)(172, 174)(176, 177)(178, 182)(179, 181)(183, 184)(185, 189)(186,
188)(190, 191)(192, 196)(193, 195)
m1: (120, 169)
n2: (136, 185)
a2: (119, 168)
b2: (105, 154)
c2: (103, 152)
d2: (3, 4)(6, 7)(9, 10)(12, 13)(15, 16)(18, 19)(20, 21)(22, 92)(23, 93)(24,
80)(25, 94)(26, 82)(27, 95)(28, 84)(29, 96)(30, 86)(31, 97)(32, 88)(33, 98)(34,
90)(35, 91)(36, 78)(37, 79)(38, 66)(39, 81)(40, 68)(41, 83)(42, 70)(43, 85)(44,
72)(45, 87)(46, 74)(47, 89)(48, 76)(49, 77)(50, 64)(51, 65)(53, 67)(55, 69)(57,
71)(59, 73)(61, 75)(106, 141)(107, 142)(108, 143)(109, 144)(110, 145)(111,
146)(112, 147)(113, 134)(114, 135)(115, 136)(116, 137)(117, 138)(118, 139)(119,
140)(120, 127)(121, 128)(122, 129)(123, 130)(124, 131)(125, 132)(126, 133)(155,
190)(156, 191)(157, 192)(158, 193)(159, 194)(160, 195)(161, 196)(162, 183)(163,
184)(164, 185)(165, 186)(166, 187)(167, 188)(168, 189)(169, 176)(170, 177)(171,
178)(172, 179)(173, 180)(174, 181)(175, 182)
e2: (140, 189)
f2: (145, 194)
g2: (128, 177)
h2: (144, 193)
m2: (101, 150)
n3: (134, 183)
a3: (112, 161)
b3: (129, 178)
c3: (126, 175)
d3: (117, 166)
e3: (125, 174)
f3: (132, 181)
g3: (130, 179)
h3: (139, 188)
m3: (124, 173)
n4: (143, 192)
a4: (107, 156)
b4: (146, 195)
c4: (141, 190)
d4: (104, 153)
e4: (147, 196)
f4: (133, 182)
g4: (1, 2, 17, 14, 11, 8, 5)(3, 20, 18, 15, 12, 9, 6)(4, 21, 19, 16, 13, 10,
7)(22, 23, 33, 31, 29, 27, 25)(24, 35, 34, 32, 30, 28, 26)(36, 37, 47, 45, 43,
41, 39)(38, 49, 48, 46, 44, 42, 40)(50, 51, 61, 59, 57, 55, 53)(52, 63, 62, 60,
58, 56, 54)(64, 65, 75, 73, 71, 69, 67)(66, 77, 76, 74, 72, 70, 68)(78, 79, 89,
87, 85, 83, 81)(80, 91, 90, 88, 86, 84, 82)(92, 93, 98, 97, 96, 95, 94)(99, 105,
104, 103, 102, 101, 100)(106, 112, 111, 110, 109, 108, 107)(113, 119, 118, 117,
116, 115, 114)(120, 126, 125, 124, 123, 122, 121)(127, 133, 132, 131, 130, 129,
128)(134, 140, 139, 138, 137, 136, 135)(141, 147, 146, 145, 144, 143, 142)(148,
154, 153, 152, 151, 150, 149)(155, 161, 160, 159, 158, 157, 156)(162, 168, 167,
166, 165, 164, 163)(169, 175, 174, 173, 172, 171, 170)(176, 182, 181, 180, 179,
178, 177)(183, 189, 188, 187, 186, 185, 184)(190, 196, 195, 194, 193, 192,
191)
h4: (137, 186)
m4: (115, 164)
n5: (116, 165)
a5: (99, 148)
b5: (100, 149)
C4[ 196, 6 ]
196
-1 99 100 148 149
-2 99 154 148 105
-3 99 155 148 106
-4 99 190 148 141
-5 100 101 149 150
-6 100 156 149 107
-7 100 191 149 142
-8 101 102 150 151
-9 101 157 150 108
-10 143 101 192 150
-11 102 103 151 152
-12 102 158 151 109
-13 144 102 193 151
-14 103 104 152 153
-15 110 103 159 152
-16 145 103 194 152
-17 154 104 105 153
-18 111 104 160 153
-19 146 104 195 153
-20 154 112 105 161
-21 154 147 105 196
-22 155 156 106 107
-23 155 112 106 161
-24 155 113 106 162
-25 156 157 107 108
-26 156 114 107 163
-27 157 158 108 109
-28 157 115 108 164
-29 110 158 159 109
-30 165 158 116 109
-31 110 111 159 160
-32 110 166 159 117
-33 111 112 160 161
-34 111 167 160 118
-35 112 168 161 119
-36 113 114 162 163
-37 113 168 162 119
-38 113 169 162 120
-39 114 115 163 164
-40 121 114 170 163
-41 165 115 116 164
-42 122 115 171 164
-43 165 166 116 117
-44 165 123 116 172
-45 166 167 117 118
-46 166 124 117 173
-47 167 168 118 119
-48 167 125 118 174
-49 168 126 119 175
-50 121 169 170 120
-51 169 126 120 175
-52 176 169 127 120
-53 121 122 170 171
-54 121 177 170 128
-55 122 123 171 172
-56 122 178 171 129
-57 123 124 172 173
-58 123 179 172 130
-59 124 125 173 174
-60 124 180 173 131
-61 125 126 174 175
-62 132 125 181 174
-63 133 126 182 175
-64 176 177 127 128
-65 176 133 127 182
-66 176 134 127 183
-67 177 178 128 129
-68 177 135 128 184
-69 178 179 129 130
-70 178 136 129 185
-71 179 180 130 131
-72 179 137 130 186
-73 132 180 181 131
-74 187 180 138 131
-75 132 133 181 182
-76 132 188 181 139
-77 133 189 182 140
-78 134 135 183 184
-79 134 189 183 140
-80 134 190 183 141
-81 135 136 184 185
-82 135 191 184 142
-83 136 137 185 186
-84 143 136 192 185
-85 187 137 138 186
-86 144 137 193 186
-87 187 188 138 139
-88 187 145 138 194
-89 188 189 139 140
-90 188 146 139 195
-91 189 147 140 196
-92 190 191 141 142
-93 190 147 141 196
-94 143 191 192 142
-95 143 144 192 193
-96 144 145 193 194
-97 145 146 194 195
-98 146 147 195 196
-99 1 2 3 4
-100 1 5 6 7
-101 5 8 9 10
-102 11 12 13 8
-103 11 14 15 16
-104 14 17 18 19
-105 2 17 20 21
-106 22 23 24 3
-107 22 25 26 6
-108 25 27 28 9
-109 12 27 29 30
-110 15 29 31 32
-111 33 34 18 31
-112 33 23 35 20
-113 24 36 37 38
-114 36 26 39 40
-115 28 39 41 42
-116 44 30 41 43
-117 45 46 32 43
-118 34 45 47 48
-119 35 47 37 49
-120 38 50 51 52
-121 50 40 53 54
-122 55 56 42 53
-123 44 55 57 58
-124 46 57 59 60
-125 48 59 61 62
-126 49 61 51 63
-127 66 52 64 65
-128 67 68 64 54
-129 56 67 69 70
-130 58 69 71 72
-131 60 71 73 74
-132 62 73 75 76
-133 77 63 75 65
-134 66 78 79 80
-135 78 68 81 82
-136 70 81 83 84
-137 72 83 85 86
-138 88 74 85 87
-139 89 90 76 87
-140 77 89 79 91
-141 80 4 92 93
-142 92 82 94 7
-143 94 84 95 10
-144 13 95 96 86
-145 88 16 96 97
-146 90 19 97 98
-147 91 93 21 98
-148 1 2 3 4
-149 1 5 6 7
-150 5 8 9 10
-151 11 12 13 8
-152 11 14 15 16
-153 14 17 18 19
-154 2 17 20 21
-155 22 23 24 3
-156 22 25 26 6
-157 25 27 28 9
-158 12 27 29 30
-159 15 29 31 32
-160 33 34 18 31
-161 33 23 35 20
-162 24 36 37 38
-163 36 26 39 40
-164 28 39 41 42
-165 44 30 41 43
-166 45 46 32 43
-167 34 45 47 48
-168 35 47 37 49
-169 38 50 51 52
-170 50 40 53 54
-171 55 56 42 53
-172 44 55 57 58
-173 46 57 59 60
-174 48 59 61 62
-175 49 61 51 63
-176 66 52 64 65
-177 67 68 64 54
-178 56 67 69 70
-179 58 69 71 72
-180 60 71 73 74
-181 62 73 75 76
-182 77 63 75 65
-183 66 78 79 80
-184 78 68 81 82
-185 70 81 83 84
-186 72 83 85 86
-187 88 74 85 87
-188 89 90 76 87
-189 77 89 79 91
-190 80 4 92 93
-191 92 82 94 7
-192 94 84 95 10
-193 13 95 96 86
-194 88 16 96 97
-195 90 19 97 98
-196 91 93 21 98
0