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On this page are computer-accessible forms for the graph C4[ 144, 1 ] = W(72,2).

(I) Following is a form readable by MAGMA:

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

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

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