C4graphGraph forms for C4 [ 148, 1 ] = W(74,2)

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On this page are computer-accessible forms for the graph C4[ 148, 1 ] = W(74,2).

(I) Following is a form readable by MAGMA:

g:=Graph<148|{ {2, 3}, {146, 147}, {144, 145}, {142, 143}, {140, 141}, {138, 139}, {136, 137}, {134, 135}, {132, 133}, {130, 131}, {128, 129}, {126, 127}, {124, 125}, {122, 123}, {50, 51}, {48, 49}, {46, 47}, {44, 45}, {42, 43}, {40, 41}, {38, 39}, {36, 37}, {34, 35}, {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}, {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}, {1, 2}, {145, 146}, {141, 142}, {137, 138}, {133, 134}, {129, 130}, {125, 126}, {121, 122}, {49, 50}, {45, 46}, {41, 42}, {37, 38}, {33, 34}, {5, 6}, {9, 10}, {13, 14}, {17, 18}, {21, 22}, {25, 26}, {29, 30}, {53, 54}, {57, 58}, {61, 62}, {65, 66}, {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}, {3, 4}, {147, 148}, {139, 140}, {131, 132}, {123, 124}, {51, 52}, {43, 44}, {35, 36}, {11, 12}, {19, 20}, {27, 28}, {59, 60}, {67, 68}, {75, 76}, {83, 84}, {91, 92}, {99, 100}, {107, 108}, {115, 116}, {7, 8}, {135, 136}, {39, 40}, {23, 24}, {55, 56}, {71, 72}, {87, 88}, {103, 104}, {119, 120}, {15, 16}, {143, 144}, {47, 48}, {79, 80}, {111, 112}, {31, 32}, {95, 96}, {2, 75}, {50, 123}, {48, 121}, {38, 111}, {36, 109}, {34, 107}, {4, 77}, {6, 79}, {16, 89}, {18, 91}, {20, 93}, {22, 95}, {32, 105}, {52, 125}, {54, 127}, {1, 74}, {49, 122}, {48, 123}, {37, 110}, {36, 111}, {33, 106}, {4, 79}, {5, 78}, {16, 91}, {17, 90}, {20, 95}, {21, 94}, {32, 107}, {52, 127}, {53, 126}, {1, 76}, {49, 124}, {35, 110}, {33, 108}, {3, 78}, {17, 92}, {19, 94}, {51, 126}, {2, 77}, {51, 124}, {50, 125}, {35, 108}, {34, 109}, {3, 76}, {18, 93}, {19, 92}, {5, 80}, {47, 122}, {45, 120}, {39, 114}, {37, 112}, {7, 82}, {13, 88}, {15, 90}, {6, 81}, {47, 120}, {46, 121}, {39, 112}, {38, 113}, {7, 80}, {14, 89}, {15, 88}, {8, 81}, {46, 119}, {44, 117}, {42, 115}, {40, 113}, {10, 83}, {12, 85}, {14, 87}, {8, 83}, {45, 118}, {44, 119}, {41, 114}, {40, 115}, {9, 82}, {12, 87}, {13, 86}, {9, 84}, {43, 118}, {41, 116}, {11, 86}, {10, 85}, {43, 116}, {42, 117}, {11, 84}, {21, 96}, {23, 98}, {29, 104}, {31, 106}, {22, 97}, {23, 96}, {30, 105}, {31, 104}, {24, 97}, {26, 99}, {28, 101}, {30, 103}, {24, 99}, {25, 98}, {28, 103}, {29, 102}, {25, 100}, {27, 102}, {26, 101}, {27, 100}, {63, 64}, {1, 148}, {53, 128}, {55, 130}, {61, 136}, {63, 138}, {54, 129}, {55, 128}, {62, 137}, {63, 136}, {56, 129}, {58, 131}, {60, 133}, {62, 135}, {56, 131}, {57, 130}, {60, 135}, {61, 134}, {57, 132}, {59, 134}, {58, 133}, {59, 132}, {64, 137}, {66, 139}, {68, 141}, {70, 143}, {64, 139}, {65, 138}, {68, 143}, {69, 142}, {65, 140}, {67, 142}, {66, 141}, {67, 140}, {69, 144}, {71, 146}, {70, 145}, {71, 144}, {72, 145}, {74, 147}, {72, 147}, {73, 146}, {73, 148}, {75, 148}, {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: (33, 107)
b: (2, 76)
c: (73, 147)
d: (56, 130)
e: (50, 124)
f: (28, 102)
g: (65, 139)
h: (34, 108)
m: (4, 78)
n1: (35, 109)
a1: (22, 96)
b1: (53, 127)
c1: (12, 86)
d1: (43, 117)
e1: (72, 146)
f1: (27, 101)
g1: (20, 94)
h1: (9, 83)
m1: (51, 125)
n2: (5, 79)
a2: (11, 85)
b2: (69, 143)
c2: (32, 106)
d2: (38, 112)
e2: (26, 100)
f2: (7, 81)
g2: (57, 131)
h2: (62, 136)
m2: (60, 134)
n3: (67, 141)
a3: (21, 95)
b3: (58, 132)
c3: (74, 148)
d3: (16, 90)
e3: (47, 121)
f3: (24, 98)
g3: (31, 105)
h3: (71, 145)
m3: (63, 137)
n4: (8, 82)
a4: (39, 113)
b4: (55, 129)
c4: (2, 74)(3, 73)(4, 72)(5, 71)(6, 70)(7, 69)(8, 68)(9, 67)(10, 66)(11, 65)(12, 64)(13, 63)(14, 62)(15, 61)(16, 60)(17, 59)(18, 58)(19, 57)(20, 56)(21, 55)(22, 54)(23, 53)(24, 52)(25, 51)(26, 50)(27, 49)(28, 48)(29, 47)(30, 46)(31, 45)(32, 44)(33, 43)(34, 42)(35, 41)(36, 40)(37, 39)(76, 148)(77, 147)(78, 146)(79, 145)(80, 144)(81, 143)(82, 142)(83, 141)(84, 140)(85, 139)(86, 138)(87, 137)(88, 136)(89, 135)(90, 134)(91, 133)(92, 132)(93, 131)(94, 130)(95, 129)(96, 128)(97, 127)(98, 126)(99, 125)(100, 124)(101, 123)(102, 122)(103, 121)(104, 120)(105, 119)(106, 118)(107, 117)(108, 116)(109, 115)(110, 114)(111, 113)
d4: (52, 126)
e4: (46, 120)
f4: (59, 133)
g4: (6, 80)
h4: (37, 111)
m4: (42, 116)
n5: (18, 92)
a5: (66, 140)
b5: (49, 123)
c5: (19, 93)
d5: (13, 87)
e5: (14, 88)
f5: (45, 119)
g5: (54, 128)
h5: (40, 114)
m5: (30, 104)
n6: (61, 135)
a6: (44, 118)
b6: (48, 122)
c6: (17, 91)
d6: (29, 103)
e6: (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)
f6: (23, 97)
g6: (15, 89)
h6: (25, 99)
m6: (3, 77)
n7: (70, 144)
a7: (64, 138)
b7: (10, 84)
c7: (68, 142)
d7: (41, 115)

(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
C4[ 148, 1 ]
148
-1 2 148 74 76
-2 77 1 3 75
-3 78 2 4 76
-4 77 79 3 5
-5 78 80 4 6
-6 79 81 5 7
-7 80 82 6 8
-8 81 83 7 9
-9 82 84 8 10
-10 11 83 85 9
-11 12 84 86 10
-12 11 13 85 87
-13 88 12 14 86
-14 89 13 15 87
-15 88 90 14 16
-16 89 91 15 17
-17 90 92 16 18
-18 91 93 17 19
-19 92 94 18 20
-20 93 95 19 21
-21 22 94 96 20
-22 23 95 97 21
-23 22 24 96 98
-24 99 23 25 97
-25 100 24 26 98
-26 99 101 25 27
-27 100 102 26 28
-28 101 103 27 29
-29 102 104 28 30
-30 103 105 29 31
-31 104 106 30 32
-32 33 105 107 31
-33 34 106 108 32
-34 33 35 107 109
-35 110 34 36 108
-36 111 35 37 109
-37 110 112 36 38
-38 111 113 37 39
-39 112 114 38 40
-40 113 115 39 41
-41 114 116 40 42
-42 115 117 41 43
-43 44 116 118 42
-44 45 117 119 43
-45 44 46 118 120
-46 121 45 47 119
-47 122 46 48 120
-48 121 123 47 49
-49 122 124 48 50
-50 123 125 49 51
-51 124 126 50 52
-52 125 127 51 53
-53 126 128 52 54
-54 55 127 129 53
-55 56 128 130 54
-56 55 57 129 131
-57 132 56 58 130
-58 133 57 59 131
-59 132 134 58 60
-60 133 135 59 61
-61 134 136 60 62
-62 135 137 61 63
-63 136 138 62 64
-64 137 139 63 65
-65 66 138 140 64
-66 67 139 141 65
-67 66 68 140 142
-68 143 67 69 141
-69 144 68 70 142
-70 143 145 69 71
-71 144 146 70 72
-72 145 147 71 73
-73 146 148 72 74
-74 1 147 73 75
-75 2 148 74 76
-76 77 1 3 75
-77 78 2 4 76
-78 77 79 3 5
-79 78 80 4 6
-80 79 81 5 7
-81 80 82 6 8
-82 81 83 7 9
-83 82 84 8 10
-84 11 83 85 9
-85 12 84 86 10
-86 11 13 85 87
-87 88 12 14 86
-88 89 13 15 87
-89 88 90 14 16
-90 89 91 15 17
-91 90 92 16 18
-92 91 93 17 19
-93 92 94 18 20
-94 93 95 19 21
-95 22 94 96 20
-96 23 95 97 21
-97 22 24 96 98
-98 99 23 25 97
-99 100 24 26 98
-100 99 101 25 27
-101 100 102 26 28
-102 101 103 27 29
-103 102 104 28 30
-104 103 105 29 31
-105 104 106 30 32
-106 33 105 107 31
-107 34 106 108 32
-108 33 35 107 109
-109 110 34 36 108
-110 111 35 37 109
-111 110 112 36 38
-112 111 113 37 39
-113 112 114 38 40
-114 113 115 39 41
-115 114 116 40 42
-116 115 117 41 43
-117 44 116 118 42
-118 45 117 119 43
-119 44 46 118 120
-120 121 45 47 119
-121 122 46 48 120
-122 121 123 47 49
-123 122 124 48 50
-124 123 125 49 51
-125 124 126 50 52
-126 125 127 51 53
-127 126 128 52 54
-128 55 127 129 53
-129 56 128 130 54
-130 55 57 129 131
-131 132 56 58 130
-132 133 57 59 131
-133 132 134 58 60
-134 133 135 59 61
-135 134 136 60 62
-136 135 137 61 63
-137 136 138 62 64
-138 137 139 63 65
-139 66 138 140 64
-140 67 139 141 65
-141 66 68 140 142
-142 143 67 69 141
-143 144 68 70 142
-144 143 145 69 71
-145 144 146 70 72
-146 145 147 71 73
-147 146 148 72 74
-148 1 147 73 75
0

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