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On this page are computer-accessible forms for the graph C4[ 84, 20 ] = MG(Rmap(84,49){4,6|8}_8).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {48, 49} under the group generated by the following permutations:

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

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

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