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On this page are computer-accessible forms for the graph C4[ 125, 3 ] = {4,4}_<15,10>.

(I) Following is a form readable by MAGMA:

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

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

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

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