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On this page are computer-accessible forms for the graph C4[ 140, 7 ] = R_70(37,36).

(I) Following is a form readable by MAGMA:

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

(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: (30, 99)(31, 66)(32, 136)(65, 134)(67, 101)(100, 135)
b: (20, 89)(21, 56)(22, 126)(55, 124)(57, 91)(90, 125)
c: (9, 78)(10, 114)(44, 113)(45, 79)
d: (11, 80)(12, 116)(46, 115)(47, 81)
e: (21, 90)(22, 126)(56, 125)(57, 91)
f: (22, 91)(23, 58)(24, 128)(57, 126)(59, 93)(92, 127)
g: (15, 84)(16, 120)(50, 119)(51, 85)
h: (19, 88)(20, 124)(54, 123)(55, 89)
m: (29, 98)(30, 134)(64, 133)(65, 99)
n1: (13, 82)(14, 118)(48, 117)(49, 83)
a1: (8, 77)(9, 44)(10, 114)(43, 112)(45, 79)(78, 113)
b1: (7, 76)(8, 112)(42, 111)(43, 77)
c1: (5, 74)(6, 110)(40, 109)(41, 75)
d1: (2, 104, 71, 70)(3, 34, 107, 103)(4, 33)(5, 32)(6, 31)(7, 30)(8, 29)(9, 28)(10, 27)(11, 26)(12, 25)(13, 24)(14, 23)(15, 22)(16, 21)(17, 20)(18, 19)(35, 37, 139, 106)(38, 69, 72, 138)(39, 68)(40, 67)(41, 66)(42, 65)(43, 64)(44, 63)(45, 62)(46, 61)(47, 60)(48, 59)(49, 58)(50, 57)(51, 56)(52, 55)(53, 54)(73, 137)(74, 136)(75, 135)(76, 134)(77, 133)(78, 132)(79, 131)(80, 130)(81, 129)(82, 128)(83, 127)(84, 126)(85, 125)(86, 124)(87, 123)(88, 122)(89, 121)(90, 120)(91, 119)(92, 118)(93, 117)(94, 116)(95, 115)(96, 114)(97, 113)(98, 112)(99, 111)(100, 110)(101, 109)(102, 108)(105, 140)
e1: (33, 102)(34, 138)(68, 137)(69, 103)
f1: (31, 100)(32, 136)(66, 135)(67, 101)
g1: (4, 73)(5, 40)(6, 110)(39, 108)(41, 75)(74, 109)
h1: (18, 87)(19, 54)(20, 124)(53, 122)(55, 89)(88, 123)
m1: (17, 86)(18, 122)(52, 121)(53, 87)
n2: (6, 75)(7, 42)(8, 112)(41, 110)(43, 77)(76, 111)
a2: (34, 103)(35, 139)(69, 138)(70, 104)
b2: (25, 94)(26, 130)(60, 129)(61, 95)
c2: (16, 85)(17, 52)(18, 122)(51, 120)(53, 87)(86, 121)
d2: (14, 83)(15, 50)(16, 120)(49, 118)(51, 85)(84, 119)
e2: (23, 92)(24, 128)(58, 127)(59, 93)
f2: (32, 101)(33, 68)(34, 138)(67, 136)(69, 103)(102, 137)
g2: (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)
h2: (24, 93)(25, 60)(26, 130)(59, 128)(61, 95)(94, 129)
m2: (10, 79)(11, 46)(12, 116)(45, 114)(47, 81)(80, 115)
n3: (28, 97)(29, 64)(30, 134)(63, 132)(65, 99)(98, 133)
a3: (26, 95)(27, 62)(28, 132)(61, 130)(63, 97)(96, 131)
b3: (12, 81)(13, 48)(14, 118)(47, 116)(49, 83)(82, 117)
c3: (27, 96)(28, 132)(62, 131)(63, 97)

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

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