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On this page are computer-accessible forms for the graph C4[ 140, 11 ] = AT[140,7].

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {138, 139} under the group generated by the following permutations:

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

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

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