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On this page are computer-accessible forms for the graph C4[ 104, 9 ] = PL(MC3(4,13,1,12,5,0,1),[4^13,26^2]).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {52, 55} under the group generated by the following permutations:

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

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

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