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On this page are computer-accessible forms for the graph C4[ 120, 34 ] = L(F80).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {2, 3} under the group generated by the following permutations:

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

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