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On this page are computer-accessible forms for the graph C4[ 140, 10 ] = SDD(Odd4).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {64, 93} under the group generated by the following permutations:

a: (87, 122)
b: (102, 137)
c: (75, 110)
d: (86, 121)
e: (98, 133)
f: (99, 134)
g: (80, 115)
h: (84, 119)
m: (103, 138)
n1: (91, 126)
a1: (100, 135)
b1: (96, 131)
c1: (92, 127)
d1: (2, 19, 3, 17)(4, 18)(5, 13, 37, 12)(6, 24, 36, 43)(7, 26, 38, 49)(8, 25, 39, 58)(9, 32, 14, 54)(10, 33, 15, 53)(11, 31, 16, 55)(20, 69, 46, 28)(21, 51, 65, 30)(22, 59, 50, 29)(23, 41, 63, 27)(34, 67, 42, 62)(35, 47, 40, 44)(45, 64, 48, 61)(52, 66, 68, 60)(57, 70)(71, 75)(72, 77, 81, 89)(73, 79, 74, 87)(76, 98, 94, 78)(80, 102, 82, 92)(84, 105, 85, 91)(86, 95, 97, 90)(88, 99)(93, 104, 96, 101)(100, 103)(106, 110)(107, 112, 116, 124)(108, 114, 109, 122)(111, 133, 129, 113)(115, 137, 117, 127)(119, 140, 120, 126)(121, 130, 132, 125)(123, 134)(128, 139, 131, 136)(135, 138)
e1: (93, 128)
f1: (89, 124)
g1: (77, 112)
h1: (105, 140)
m1: (81, 116)
n2: (101, 136)
a2: (97, 132)
b2: (85, 120)
c2: (76, 111)
d2: (90, 125)
e2: (83, 118)
f2: (78, 113)
g2: (82, 117)
h2: (104, 139)
m2: (2, 3)(9, 15)(10, 14)(11, 16)(12, 13)(20, 41)(21, 59)(22, 51)(23, 69)(24, 43)(25, 58)(26, 49)(27, 46)(28, 63)(29, 65)(30, 50)(32, 33)(34, 48)(35, 47)(40, 44)(42, 45)(52, 68)(53, 54)(61, 62)(64, 67)(73, 74)(76, 98)(77, 89)(78, 94)(80, 85)(82, 84)(86, 97)(91, 92)(93, 96)(102, 105)(108, 109)(111, 133)(112, 124)(113, 129)(115, 120)(117, 119)(121, 132)(126, 127)(128, 131)(137, 140)
n3: (1, 2, 3)(5, 15, 27, 31, 46, 9)(6, 14, 30, 55, 50, 10)(7, 16, 29, 56, 65, 11)(8, 13, 28, 70, 63, 12)(17, 25, 61, 18, 62, 58)(19, 64, 67)(20, 36, 41, 22, 37, 51)(21, 38, 59)(23, 39, 69)(24, 40, 68, 54, 49, 45)(26, 53, 52, 44, 43, 42)(32, 48, 35)(33, 47, 34)(57, 66)(72, 74, 78, 99, 94, 73)(75, 93, 96)(76, 81, 98)(77, 91, 103, 92, 89, 101)(79, 85, 80)(82, 97, 87, 86, 84, 83)(88, 95)(102, 104, 105)(107, 109, 113, 134, 129, 108)(110, 128, 131)(111, 116, 133)(112, 126, 138, 127, 124, 136)(114, 120, 115)(117, 132, 122, 121, 119, 118)(123, 130)(137, 139, 140)
a3: (95, 130)
b3: (74, 109)
c3: (71, 106)
d3: (5, 6)(9, 22)(10, 20)(11, 21)(12, 23)(13, 69)(14, 41)(15, 51)(16, 59)(18, 19)(24, 33)(25, 64)(26, 35)(27, 30)(31, 36)(32, 43)(34, 68)(37, 55)(38, 56)(39, 70)(46, 50)(47, 49)(48, 52)(57, 60)(58, 67)(73, 76)(74, 98)(77, 105)(79, 83)(80, 97)(81, 99)(85, 86)(88, 90)(89, 102)(103, 104)(108, 111)(109, 133)(112, 140)(114, 118)(115, 132)(116, 134)(120, 121)(123, 125)(124, 137)(138, 139)
e3: (88, 123)
f3: (79, 114)
g3: (94, 129)

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

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