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On this page are computer-accessible forms for the graph C4[ 120, 48 ] = HC(F20A).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {68, 69} under the group generated by the following permutations:

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

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

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