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On this page are computer-accessible forms for the graph C4[ 156, 1 ] = W(78,2).

(I) Following is a form readable by MAGMA:

g:=Graph<156|{ {2, 3}, {154, 155}, {152, 153}, {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}, {114, 115}, {112, 113}, {110, 111}, {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}, {1, 2}, {153, 154}, {149, 150}, {145, 146}, {141, 142}, {137, 138}, {133, 134}, {129, 130}, {125, 126}, {121, 122}, {117, 118}, {113, 114}, {109, 110}, {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}, {3, 4}, {155, 156}, {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}, {111, 112}, {47, 48}, {79, 80}, {31, 32}, {95, 96}, {2, 79}, {50, 127}, {48, 125}, {34, 111}, {32, 109}, {16, 93}, {18, 95}, {1, 78}, {49, 126}, {48, 127}, {33, 110}, {32, 111}, {16, 95}, {17, 94}, {1, 80}, {47, 126}, {45, 124}, {43, 122}, {41, 120}, {39, 118}, {37, 116}, {35, 114}, {33, 112}, {3, 82}, {5, 84}, {7, 86}, {9, 88}, {11, 90}, {13, 92}, {15, 94}, {2, 81}, {47, 124}, {46, 125}, {43, 120}, {42, 121}, {39, 116}, {38, 117}, {35, 112}, {34, 113}, {3, 80}, {6, 85}, {7, 84}, {10, 89}, {11, 88}, {14, 93}, {15, 92}, {4, 81}, {46, 123}, {44, 121}, {38, 115}, {36, 113}, {6, 83}, {12, 89}, {14, 91}, {4, 83}, {45, 122}, {44, 123}, {37, 114}, {36, 115}, {5, 82}, {12, 91}, {13, 90}, {8, 85}, {42, 119}, {40, 117}, {10, 87}, {8, 87}, {41, 118}, {40, 119}, {9, 86}, {17, 96}, {19, 98}, {21, 100}, {23, 102}, {25, 104}, {27, 106}, {29, 108}, {31, 110}, {18, 97}, {19, 96}, {22, 101}, {23, 100}, {26, 105}, {27, 104}, {30, 109}, {31, 108}, {20, 97}, {22, 99}, {28, 105}, {30, 107}, {20, 99}, {21, 98}, {28, 107}, {29, 106}, {24, 101}, {26, 103}, {24, 103}, {25, 102}, {63, 64}, {1, 156}, {49, 128}, {51, 130}, {53, 132}, {55, 134}, {57, 136}, {59, 138}, {61, 140}, {63, 142}, {50, 129}, {51, 128}, {54, 133}, {55, 132}, {58, 137}, {59, 136}, {62, 141}, {63, 140}, {52, 129}, {54, 131}, {60, 137}, {62, 139}, {52, 131}, {53, 130}, {60, 139}, {61, 138}, {56, 133}, {58, 135}, {56, 135}, {57, 134}, {64, 141}, {66, 143}, {64, 143}, {65, 142}, {65, 144}, {67, 146}, {69, 148}, {71, 150}, {73, 152}, {75, 154}, {77, 156}, {66, 145}, {67, 144}, {70, 149}, {71, 148}, {74, 153}, {75, 152}, {79, 156}, {68, 145}, {70, 147}, {76, 153}, {78, 155}, {68, 147}, {69, 146}, {76, 155}, {77, 154}, {72, 149}, {74, 151}, {72, 151}, {73, 150}, {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: (65, 143)
b: (6, 84)
c: (37, 115)
d: (78, 156)
e: (61, 139)
f: (18, 96)
g: (49, 127)
h: (77, 155)
m: (17, 95)
n1: (8, 86)
a1: (39, 117)
b1: (75, 153)
c1: (13, 91)
d1: (68, 146)
e1: (11, 89)
f1: (3, 81)
g1: (5, 83)
h1: (53, 131)
m1: (24, 102)
n2: (9, 87)
a2: (32, 110)
b2: (55, 133)
c2: (14, 92)
d2: (45, 123)
e2: (58, 136)
f2: (23, 101)
g2: (4, 82)
h2: (19, 97)
m2: (35, 113)
n3: (7, 85)
a3: (59, 137)
b3: (33, 111)
c3: (2, 80)
d3: (67, 145)
e3: (70, 148)
f3: (20, 98)
g3: (15, 93)
h3: (54, 132)
m3: (31, 109)
n4: (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, 153, 154, 155, 156)
a4: (22, 100)
b4: (56, 134)
c4: (10, 88)
d4: (41, 119)
e4: (74, 152)
f4: (66, 144)
g4: (57, 135)
h4: (16, 94)
m4: (47, 125)
n5: (51, 129)
a5: (42, 120)
b5: (28, 106)
c5: (40, 118)
d5: (63, 141)
e5: (29, 107)
f5: (73, 151)
g5: (21, 99)
h5: (76, 154)
m5: (48, 126)
n6: (60, 138)
a6: (46, 124)
b6: (36, 114)
c6: (34, 112)
d6: (27, 105)
e6: (44, 122)
f6: (71, 149)
g6: (50, 128)
h6: (62, 140)
m6: (30, 108)
n7: (26, 104)
a7: (2, 78)(3, 77)(4, 76)(5, 75)(6, 74)(7, 73)(8, 72)(9, 71)(10, 70)(11, 69)(12, 68)(13, 67)(14, 66)(15, 65)(16, 64)(17, 63)(18, 62)(19, 61)(20, 60)(21, 59)(22, 58)(23, 57)(24, 56)(25, 55)(26, 54)(27, 53)(28, 52)(29, 51)(30, 50)(31, 49)(32, 48)(33, 47)(34, 46)(35, 45)(36, 44)(37, 43)(38, 42)(39, 41)(80, 156)(81, 155)(82, 154)(83, 153)(84, 152)(85, 151)(86, 150)(87, 149)(88, 148)(89, 147)(90, 146)(91, 145)(92, 144)(93, 143)(94, 142)(95, 141)(96, 140)(97, 139)(98, 138)(99, 137)(100, 136)(101, 135)(102, 134)(103, 133)(104, 132)(105, 131)(106, 130)(107, 129)(108, 128)(109, 127)(110, 126)(111, 125)(112, 124)(113, 123)(114, 122)(115, 121)(116, 120)(117, 119)
b7: (64, 142)
c7: (12, 90)
d7: (43, 121)
e7: (52, 130)
f7: (25, 103)
g7: (72, 150)
h7: (69, 147)

(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[ 156, 1 ]
156
-1 78 2 156 80
-2 1 79 3 81
-3 2 80 4 82
-4 3 81 5 83
-5 4 82 6 84
-6 5 83 7 85
-7 6 84 8 86
-8 7 85 9 87
-9 88 8 86 10
-10 11 89 9 87
-11 88 12 90 10
-12 11 89 13 91
-13 12 90 14 92
-14 13 91 15 93
-15 14 92 16 94
-16 15 93 17 95
-17 16 94 18 96
-18 17 95 19 97
-19 18 96 20 98
-20 99 19 97 21
-21 22 100 20 98
-22 99 23 101 21
-23 22 100 24 102
-24 23 101 25 103
-25 24 102 26 104
-26 25 103 27 105
-27 26 104 28 106
-28 27 105 29 107
-29 28 106 30 108
-30 29 107 31 109
-31 110 30 108 32
-32 33 111 31 109
-33 110 34 112 32
-34 33 111 35 113
-35 34 112 36 114
-36 35 113 37 115
-37 36 114 38 116
-38 37 115 39 117
-39 38 116 40 118
-40 39 117 41 119
-41 40 118 42 120
-42 121 41 119 43
-43 44 122 42 120
-44 121 45 123 43
-45 44 122 46 124
-46 45 123 47 125
-47 46 124 48 126
-48 47 125 49 127
-49 48 126 50 128
-50 49 127 51 129
-51 50 128 52 130
-52 51 129 53 131
-53 132 52 130 54
-54 55 133 53 131
-55 132 56 134 54
-56 55 133 57 135
-57 56 134 58 136
-58 57 135 59 137
-59 58 136 60 138
-60 59 137 61 139
-61 60 138 62 140
-62 61 139 63 141
-63 62 140 64 142
-64 143 63 141 65
-65 66 144 64 142
-66 143 67 145 65
-67 66 144 68 146
-68 67 145 69 147
-69 68 146 70 148
-70 69 147 71 149
-71 70 148 72 150
-72 71 149 73 151
-73 72 150 74 152
-74 73 151 75 153
-75 154 74 152 76
-76 77 155 75 153
-77 154 78 156 76
-78 77 1 155 79
-79 78 2 156 80
-80 1 79 3 81
-81 2 80 4 82
-82 3 81 5 83
-83 4 82 6 84
-84 5 83 7 85
-85 6 84 8 86
-86 7 85 9 87
-87 88 8 86 10
-88 11 89 9 87
-89 88 12 90 10
-90 11 89 13 91
-91 12 90 14 92
-92 13 91 15 93
-93 14 92 16 94
-94 15 93 17 95
-95 16 94 18 96
-96 17 95 19 97
-97 18 96 20 98
-98 99 19 97 21
-99 22 100 20 98
-100 99 23 101 21
-101 22 100 24 102
-102 23 101 25 103
-103 24 102 26 104
-104 25 103 27 105
-105 26 104 28 106
-106 27 105 29 107
-107 28 106 30 108
-108 29 107 31 109
-109 110 30 108 32
-110 33 111 31 109
-111 110 34 112 32
-112 33 111 35 113
-113 34 112 36 114
-114 35 113 37 115
-115 36 114 38 116
-116 37 115 39 117
-117 38 116 40 118
-118 39 117 41 119
-119 40 118 42 120
-120 121 41 119 43
-121 44 122 42 120
-122 121 45 123 43
-123 44 122 46 124
-124 45 123 47 125
-125 46 124 48 126
-126 47 125 49 127
-127 48 126 50 128
-128 49 127 51 129
-129 50 128 52 130
-130 51 129 53 131
-131 132 52 130 54
-132 55 133 53 131
-133 132 56 134 54
-134 55 133 57 135
-135 56 134 58 136
-136 57 135 59 137
-137 58 136 60 138
-138 59 137 61 139
-139 60 138 62 140
-140 61 139 63 141
-141 62 140 64 142
-142 143 63 141 65
-143 66 144 64 142
-144 143 67 145 65
-145 66 144 68 146
-146 67 145 69 147
-147 68 146 70 148
-148 69 147 71 149
-149 70 148 72 150
-150 71 149 73 151
-151 72 150 74 152
-152 73 151 75 153
-153 154 74 152 76
-154 77 155 75 153
-155 154 78 156 76
-156 77 1 155 79
0

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