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On this page are computer-accessible forms for the graph C4[ 152, 1 ] = W(76,2).

(I) Following is a form readable by MAGMA:

g:=Graph<152|{ {2, 3}, {150, 151}, {148, 149}, {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}, {120, 121}, {118, 119}, {116, 117}, {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}, {1, 2}, {149, 150}, {145, 146}, {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}, {147, 148}, {139, 140}, {131, 132}, {123, 124}, {115, 116}, {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}, {7, 8}, {151, 152}, {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}, {4, 79}, {48, 123}, {36, 111}, {16, 91}, {20, 95}, {32, 107}, {52, 127}, {1, 76}, {50, 127}, {49, 124}, {48, 125}, {35, 110}, {34, 111}, {33, 108}, {32, 109}, {2, 79}, {3, 78}, {16, 93}, {17, 92}, {18, 95}, {19, 94}, {51, 126}, {1, 78}, {50, 125}, {49, 126}, {34, 109}, {33, 110}, {2, 77}, {17, 94}, {18, 93}, {3, 80}, {47, 124}, {43, 120}, {39, 116}, {35, 112}, {7, 84}, {11, 88}, {15, 92}, {4, 81}, {47, 122}, {46, 123}, {45, 120}, {44, 121}, {39, 114}, {38, 115}, {37, 112}, {36, 113}, {5, 80}, {6, 83}, {7, 82}, {12, 89}, {13, 88}, {14, 91}, {15, 90}, {5, 82}, {46, 121}, {45, 122}, {38, 113}, {37, 114}, {6, 81}, {13, 90}, {14, 89}, {8, 83}, {44, 119}, {40, 115}, {12, 87}, {8, 85}, {43, 118}, {42, 119}, {41, 116}, {40, 117}, {9, 84}, {10, 87}, {11, 86}, {9, 86}, {42, 117}, {41, 118}, {10, 85}, {19, 96}, {23, 100}, {27, 104}, {31, 108}, {20, 97}, {21, 96}, {22, 99}, {23, 98}, {28, 105}, {29, 104}, {30, 107}, {31, 106}, {21, 98}, {22, 97}, {29, 106}, {30, 105}, {24, 99}, {28, 103}, {24, 101}, {25, 100}, {26, 103}, {27, 102}, {25, 102}, {26, 101}, {63, 64}, {1, 152}, {51, 128}, {55, 132}, {59, 136}, {63, 140}, {52, 129}, {53, 128}, {54, 131}, {55, 130}, {60, 137}, {61, 136}, {62, 139}, {63, 138}, {53, 130}, {54, 129}, {61, 138}, {62, 137}, {56, 131}, {60, 135}, {56, 133}, {57, 132}, {58, 135}, {59, 134}, {57, 134}, {58, 133}, {64, 139}, {68, 143}, {64, 141}, {65, 140}, {66, 143}, {67, 142}, {65, 142}, {66, 141}, {67, 144}, {71, 148}, {75, 152}, {68, 145}, {69, 144}, {70, 147}, {71, 146}, {77, 152}, {69, 146}, {70, 145}, {72, 147}, {76, 151}, {72, 149}, {73, 148}, {74, 151}, {75, 150}, {73, 150}, {74, 149}, {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: (75, 151)
b: (12, 88)
c: (43, 119)
d: (52, 128)
e: (17, 93)
f: (27, 103)
g: (58, 134)
h: (64, 140)
m: (22, 98)
n1: (76, 152)
a1: (8, 84)
b1: (39, 115)
c1: (62, 138)
d1: (55, 131)
e1: (32, 108)
f1: (10, 86)
g1: (41, 117)
h1: (7, 83)
m1: (38, 114)
n2: (74, 150)
a2: (31, 107)
b2: (23, 99)
c2: (15, 91)
d2: (46, 122)
e2: (24, 100)
f2: (30, 106)
g2: (60, 136)
h2: (26, 102)
m2: (65, 141)
n3: (53, 129)
a3: (6, 82)
b3: (63, 139)
c3: (73, 149)
d3: (36, 112)
e3: (67, 143)
f3: (56, 132)
g3: (71, 147)
h3: (13, 89)
m3: (40, 116)
n4: (5, 81)
a4: (28, 104)
b4: (48, 124)
c4: (68, 144)
d4: (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)
e4: (20, 96)
f4: (51, 127)
g4: (14, 90)
h4: (45, 121)
m4: (9, 85)
n5: (44, 120)
a5: (57, 133)
b5: (33, 109)
c5: (2, 78)
d5: (25, 101)
e5: (29, 105)
f5: (3, 79)
g5: (34, 110)
h5: (54, 130)
m5: (16, 92)
n6: (47, 123)
a6: (21, 97)
b6: (49, 125)
c6: (18, 94)
d6: (66, 142)
e6: (61, 137)
f6: (19, 95)
g6: (50, 126)
h6: (70, 146)
m6: (4, 80)
n7: (35, 111)
a7: (2, 76)(3, 75)(4, 74)(5, 73)(6, 72)(7, 71)(8, 70)(9, 69)(10, 68)(11, 67)(12, 66)(13, 65)(14, 64)(15, 63)(16, 62)(17, 61)(18, 60)(19, 59)(20, 58)(21, 57)(22, 56)(23, 55)(24, 54)(25, 53)(26, 52)(27, 51)(28, 50)(29, 49)(30, 48)(31, 47)(32, 46)(33, 45)(34, 44)(35, 43)(36, 42)(37, 41)(38, 40)(78, 152)(79, 151)(80, 150)(81, 149)(82, 148)(83, 147)(84, 146)(85, 145)(86, 144)(87, 143)(88, 142)(89, 141)(90, 140)(91, 139)(92, 138)(93, 137)(94, 136)(95, 135)(96, 134)(97, 133)(98, 132)(99, 131)(100, 130)(101, 129)(102, 128)(103, 127)(104, 126)(105, 125)(106, 124)(107, 123)(108, 122)(109, 121)(110, 120)(111, 119)(112, 118)(113, 117)(114, 116)
b7: (59, 135)
c7: (72, 148)
d7: (69, 145)
e7: (11, 87)
f7: (42, 118)

(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[ 152, 1 ]
152
-1 78 2 152 76
-2 77 1 79 3
-3 78 2 80 4
-4 79 3 81 5
-5 80 4 82 6
-6 81 5 83 7
-7 82 6 84 8
-8 83 7 85 9
-9 84 8 86 10
-10 11 85 9 87
-11 88 12 86 10
-12 11 89 13 87
-13 88 12 90 14
-14 89 13 91 15
-15 90 14 92 16
-16 91 15 93 17
-17 92 16 94 18
-18 93 17 95 19
-19 94 18 96 20
-20 95 19 97 21
-21 22 96 20 98
-22 99 23 97 21
-23 22 100 24 98
-24 99 23 101 25
-25 100 24 102 26
-26 101 25 103 27
-27 102 26 104 28
-28 103 27 105 29
-29 104 28 106 30
-30 105 29 107 31
-31 106 30 108 32
-32 33 107 31 109
-33 110 34 108 32
-34 33 111 35 109
-35 110 34 112 36
-36 111 35 113 37
-37 112 36 114 38
-38 113 37 115 39
-39 114 38 116 40
-40 115 39 117 41
-41 116 40 118 42
-42 117 41 119 43
-43 44 118 42 120
-44 121 45 119 43
-45 44 122 46 120
-46 121 45 123 47
-47 122 46 124 48
-48 123 47 125 49
-49 124 48 126 50
-50 125 49 127 51
-51 126 50 128 52
-52 127 51 129 53
-53 128 52 130 54
-54 55 129 53 131
-55 132 56 130 54
-56 55 133 57 131
-57 132 56 134 58
-58 133 57 135 59
-59 134 58 136 60
-60 135 59 137 61
-61 136 60 138 62
-62 137 61 139 63
-63 138 62 140 64
-64 139 63 141 65
-65 66 140 64 142
-66 143 67 141 65
-67 66 144 68 142
-68 143 67 145 69
-69 144 68 146 70
-70 145 69 147 71
-71 146 70 148 72
-72 147 71 149 73
-73 148 72 150 74
-74 149 73 151 75
-75 150 74 152 76
-76 77 1 151 75
-77 78 2 152 76
-78 77 1 79 3
-79 78 2 80 4
-80 79 3 81 5
-81 80 4 82 6
-82 81 5 83 7
-83 82 6 84 8
-84 83 7 85 9
-85 84 8 86 10
-86 11 85 9 87
-87 88 12 86 10
-88 11 89 13 87
-89 88 12 90 14
-90 89 13 91 15
-91 90 14 92 16
-92 91 15 93 17
-93 92 16 94 18
-94 93 17 95 19
-95 94 18 96 20
-96 95 19 97 21
-97 22 96 20 98
-98 99 23 97 21
-99 22 100 24 98
-100 99 23 101 25
-101 100 24 102 26
-102 101 25 103 27
-103 102 26 104 28
-104 103 27 105 29
-105 104 28 106 30
-106 105 29 107 31
-107 106 30 108 32
-108 33 107 31 109
-109 110 34 108 32
-110 33 111 35 109
-111 110 34 112 36
-112 111 35 113 37
-113 112 36 114 38
-114 113 37 115 39
-115 114 38 116 40
-116 115 39 117 41
-117 116 40 118 42
-118 117 41 119 43
-119 44 118 42 120
-120 121 45 119 43
-121 44 122 46 120
-122 121 45 123 47
-123 122 46 124 48
-124 123 47 125 49
-125 124 48 126 50
-126 125 49 127 51
-127 126 50 128 52
-128 127 51 129 53
-129 128 52 130 54
-130 55 129 53 131
-131 132 56 130 54
-132 55 133 57 131
-133 132 56 134 58
-134 133 57 135 59
-135 134 58 136 60
-136 135 59 137 61
-137 136 60 138 62
-138 137 61 139 63
-139 138 62 140 64
-140 139 63 141 65
-141 66 140 64 142
-142 143 67 141 65
-143 66 144 68 142
-144 143 67 145 69
-145 144 68 146 70
-146 145 69 147 71
-147 146 70 148 72
-148 147 71 149 73
-149 148 72 150 74
-150 149 73 151 75
-151 150 74 152 76
-152 77 1 151 75
0

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