C4graphGraph forms for C4 [ 190, 1 ] = W(95,2)

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On this page are computer-accessible forms for the graph C4[ 190, 1 ] = W(95,2).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {2, 3} under the group generated by the following permutations:

a: (5, 100)
b: (81, 176)
c: (43, 138)
d: (80, 175)
e: (78, 173)
f: (49, 144)
g: (52, 147)
h: (50, 145)
m: (69, 164)
n1: (30, 125)
a1: (32, 127)
b1: (3, 98)
c1: (93, 188)
d1: (46, 141)
e1: (48, 143)
f1: (39, 134)
g1: (21, 116)
h1: (68, 163)
m1: (66, 161)
n2: (85, 180)
a2: (15, 110)
b2: (18, 113)
c2: (20, 115)
d2: (6, 101)
e2: (8, 103)
f2: (27, 122)
g2: (2, 95)(3, 94)(4, 93)(5, 92)(6, 91)(7, 90)(8, 89)(9, 88)(10, 87)(11, 86)(12, 85)(13, 84)(14, 83)(15, 82)(16, 81)(17, 80)(18, 79)(19, 78)(20, 77)(21, 76)(22, 75)(23, 74)(24, 73)(25, 72)(26, 71)(27, 70)(28, 69)(29, 68)(30, 67)(31, 66)(32, 65)(33, 64)(34, 63)(35, 62)(36, 61)(37, 60)(38, 59)(39, 58)(40, 57)(41, 56)(42, 55)(43, 54)(44, 53)(45, 52)(46, 51)(47, 50)(48, 49)(97, 190)(98, 189)(99, 188)(100, 187)(101, 186)(102, 185)(103, 184)(104, 183)(105, 182)(106, 181)(107, 180)(108, 179)(109, 178)(110, 177)(111, 176)(112, 175)(113, 174)(114, 173)(115, 172)(116, 171)(117, 170)(118, 169)(119, 168)(120, 167)(121, 166)(122, 165)(123, 164)(124, 163)(125, 162)(126, 161)(127, 160)(128, 159)(129, 158)(130, 157)(131, 156)(132, 155)(133, 154)(134, 153)(135, 152)(136, 151)(137, 150)(138, 149)(139, 148)(140, 147)(141, 146)(142, 145)(143, 144)
h2: (26, 121)
m2: (28, 123)
n3: (60, 155)
a3: (58, 153)
b3: (53, 148)
c3: (88, 183)
d3: (94, 189)
e3: (86, 181)
f3: (42, 137)
g3: (44, 139)
h3: (65, 160)
m3: (41, 136)
n4: (11, 106)
a4: (76, 171)
b4: (74, 169)
c4: (17, 112)
d4: (22, 117)
e4: (24, 119)
f4: (25, 120)
g4: (71, 166)
h4: (57, 152)
m4: (35, 130)
n5: (1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95)(96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190)
a5: (9, 104)
b5: (79, 174)
c5: (31, 126)
d5: (38, 133)
e5: (40, 135)
f5: (72, 167)
g5: (70, 165)
h5: (29, 124)
m5: (83, 178)
n6: (63, 158)
a6: (7, 102)
b6: (37, 132)
c6: (4, 99)
d6: (73, 168)
e6: (2, 97)
f6: (91, 186)
g6: (87, 182)
h6: (90, 185)
m6: (92, 187)
n7: (67, 162)
a7: (61, 156)
b7: (89, 184)
c7: (23, 118)
d7: (14, 109)
e7: (16, 111)
f7: (77, 172)
g7: (56, 151)
h7: (54, 149)
m7: (95, 190)
n8: (84, 179)
a8: (82, 177)
b8: (10, 105)
c8: (12, 107)
d8: (59, 154)
e8: (45, 140)
f8: (34, 129)
g8: (36, 131)
h8: (51, 146)
m8: (75, 170)
n9: (19, 114)
a9: (13, 108)
b9: (55, 150)
c9: (64, 159)
d9: (62, 157)
e9: (33, 128)

(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.

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&Graph
C4[ 190, 1 ]
190
-1 2 190 95 97
-2 1 3 96 98
-3 99 2 4 97
-4 100 3 5 98
-5 99 101 4 6
-6 100 102 5 7
-7 101 103 6 8
-8 102 104 7 9
-9 103 105 8 10
-10 11 104 106 9
-11 12 105 107 10
-12 11 13 106 108
-13 12 14 107 109
-14 110 13 15 108
-15 111 14 16 109
-16 110 112 15 17
-17 111 113 16 18
-18 112 114 17 19
-19 113 115 18 20
-20 114 116 19 21
-21 22 115 117 20
-22 23 116 118 21
-23 22 24 117 119
-24 23 25 118 120
-25 121 24 26 119
-26 122 25 27 120
-27 121 123 26 28
-28 122 124 27 29
-29 123 125 28 30
-30 124 126 29 31
-31 125 127 30 32
-32 33 126 128 31
-33 34 127 129 32
-34 33 35 128 130
-35 34 36 129 131
-36 132 35 37 130
-37 133 36 38 131
-38 132 134 37 39
-39 133 135 38 40
-40 134 136 39 41
-41 135 137 40 42
-42 136 138 41 43
-43 44 137 139 42
-44 45 138 140 43
-45 44 46 139 141
-46 45 47 140 142
-47 143 46 48 141
-48 144 47 49 142
-49 143 145 48 50
-50 144 146 49 51
-51 145 147 50 52
-52 146 148 51 53
-53 147 149 52 54
-54 55 148 150 53
-55 56 149 151 54
-56 55 57 150 152
-57 56 58 151 153
-58 154 57 59 152
-59 155 58 60 153
-60 154 156 59 61
-61 155 157 60 62
-62 156 158 61 63
-63 157 159 62 64
-64 158 160 63 65
-65 66 159 161 64
-66 67 160 162 65
-67 66 68 161 163
-68 67 69 162 164
-69 165 68 70 163
-70 166 69 71 164
-71 165 167 70 72
-72 166 168 71 73
-73 167 169 72 74
-74 168 170 73 75
-75 169 171 74 76
-76 77 170 172 75
-77 78 171 173 76
-78 77 79 172 174
-79 78 80 173 175
-80 176 79 81 174
-81 177 80 82 175
-82 176 178 81 83
-83 177 179 82 84
-84 178 180 83 85
-85 179 181 84 86
-86 180 182 85 87
-87 88 181 183 86
-88 89 182 184 87
-89 88 90 183 185
-90 89 91 184 186
-91 187 90 92 185
-92 188 91 93 186
-93 187 189 92 94
-94 188 190 93 95
-95 1 189 94 96
-96 2 190 95 97
-97 1 3 96 98
-98 99 2 4 97
-99 100 3 5 98
-100 99 101 4 6
-101 100 102 5 7
-102 101 103 6 8
-103 102 104 7 9
-104 103 105 8 10
-105 11 104 106 9
-106 12 105 107 10
-107 11 13 106 108
-108 12 14 107 109
-109 110 13 15 108
-110 111 14 16 109
-111 110 112 15 17
-112 111 113 16 18
-113 112 114 17 19
-114 113 115 18 20
-115 114 116 19 21
-116 22 115 117 20
-117 23 116 118 21
-118 22 24 117 119
-119 23 25 118 120
-120 121 24 26 119
-121 122 25 27 120
-122 121 123 26 28
-123 122 124 27 29
-124 123 125 28 30
-125 124 126 29 31
-126 125 127 30 32
-127 33 126 128 31
-128 34 127 129 32
-129 33 35 128 130
-130 34 36 129 131
-131 132 35 37 130
-132 133 36 38 131
-133 132 134 37 39
-134 133 135 38 40
-135 134 136 39 41
-136 135 137 40 42
-137 136 138 41 43
-138 44 137 139 42
-139 45 138 140 43
-140 44 46 139 141
-141 45 47 140 142
-142 143 46 48 141
-143 144 47 49 142
-144 143 145 48 50
-145 144 146 49 51
-146 145 147 50 52
-147 146 148 51 53
-148 147 149 52 54
-149 55 148 150 53
-150 56 149 151 54
-151 55 57 150 152
-152 56 58 151 153
-153 154 57 59 152
-154 155 58 60 153
-155 154 156 59 61
-156 155 157 60 62
-157 156 158 61 63
-158 157 159 62 64
-159 158 160 63 65
-160 66 159 161 64
-161 67 160 162 65
-162 66 68 161 163
-163 67 69 162 164
-164 165 68 70 163
-165 166 69 71 164
-166 165 167 70 72
-167 166 168 71 73
-168 167 169 72 74
-169 168 170 73 75
-170 169 171 74 76
-171 77 170 172 75
-172 78 171 173 76
-173 77 79 172 174
-174 78 80 173 175
-175 176 79 81 174
-176 177 80 82 175
-177 176 178 81 83
-178 177 179 82 84
-179 178 180 83 85
-180 179 181 84 86
-181 180 182 85 87
-182 88 181 183 86
-183 89 182 184 87
-184 88 90 183 185
-185 89 91 184 186
-186 187 90 92 185
-187 188 91 93 186
-188 187 189 92 94
-189 188 190 93 95
-190 1 189 94 96
0

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