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On this page are computer-accessible forms for the graph C4[ 150, 1 ] = W(75,2).

(I) Following is a form readable by MAGMA:

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

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

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