C4graphGraph forms for C4 [ 146, 1 ] = W(73,2)

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On this page are computer-accessible forms for the graph C4[ 146, 1 ] = W(73,2).

(I) Following is a form readable by MAGMA:

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

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

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