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On this page are computer-accessible forms for the graph C4[ 60, 17 ] = UG(Rmap(120,140){10,4|6}_12).

(I) Following is a form readable by MAGMA:

g:=Graph<60|{ {48, 49}, {52, 53}, {1, 3}, {1, 2}, {57, 58}, {37, 38}, {33, 34}, {1, 5}, {2, 7}, {3, 6}, {2, 4}, {8, 15}, {51, 52}, {49, 54}, {43, 44}, {3, 11}, {37, 45}, {1, 8}, {49, 56}, {38, 47}, {7, 14}, {21, 31}, {6, 13}, {55, 60}, {51, 56}, {50, 57}, {21, 25}, {4, 9}, {54, 59}, {2, 12}, {22, 24}, {19, 29}, {17, 31}, {5, 10}, {16, 31}, {3, 18}, {15, 30}, {13, 28}, {42, 56}, {14, 29}, {41, 58}, {37, 54}, {4, 16}, {5, 17}, {39, 50}, {9, 30}, {45, 58}, {44, 59}, {43, 60}, {40, 48}, {13, 20}, {46, 55}, {41, 48}, {15, 22}, {9, 19}, {40, 50}, {35, 57}, {33, 59}, {12, 22}, {32, 58}, {46, 53}, {36, 57}, {4, 26}, {34, 60}, {11, 21}, {10, 20}, {7, 25}, {6, 24}, {5, 27}, {8, 23}, {40, 55}, {39, 56}, {28, 60}, {6, 36}, {7, 37}, {22, 52}, {23, 53}, {12, 47}, {15, 44}, {9, 45}, {14, 42}, {11, 46}, {16, 54}, {10, 34}, {19, 59}, {11, 35}, {26, 51}, {29, 52}, {10, 32}, {25, 51}, {12, 33}, {14, 35}, {29, 48}, {31, 50}, {8, 38}, {24, 55}, {30, 49}, {16, 32}, {18, 32}, {24, 42}, {19, 39}, {27, 47}, {27, 46}, {28, 41}, {23, 33}, {13, 53}, {20, 44}, {18, 43}, {26, 35}, {17, 43}, {28, 39}, {17, 45}, {21, 41}, {20, 40}, {26, 38}, {30, 34}, {18, 47}, {23, 42}, {25, 36}, {27, 36} }>;

(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: (3, 5)(4, 7)(6, 10)(9, 14)(11, 17)(13, 20)(15, 23)(16, 25)(18, 27)(19, 29)(21, 31)(22, 33)(24, 34)(26, 37)(28, 40)(30, 42)(32, 36)(35, 45)(39, 48)(41, 50)(43, 46)(44, 53)(49, 56)(51, 54)(52, 59)(55, 60)(57, 58)
b: (2, 3)(4, 6)(5, 8)(7, 11)(9, 13)(10, 15)(12, 18)(14, 21)(16, 24)(17, 23)(19, 28)(20, 30)(22, 32)(25, 35)(26, 36)(27, 38)(29, 41)(31, 42)(33, 43)(34, 44)(37, 46)(40, 49)(45, 53)(50, 56)(51, 57)(52, 58)(54, 55)(59, 60)
c: (1, 2)(3, 4)(5, 7)(6, 9)(8, 12)(10, 14)(11, 16)(13, 19)(15, 22)(17, 25)(18, 26)(20, 29)(21, 31)(23, 33)(24, 30)(27, 37)(28, 39)(32, 35)(34, 42)(36, 45)(38, 47)(40, 48)(41, 50)(43, 51)(44, 52)(46, 54)(49, 55)(53, 59)(56, 60)(57, 58)

(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[ 60, 17 ]
60
-1 2 3 5 8
-2 1 12 4 7
-3 11 1 6 18
-4 2 26 16 9
-5 1 27 17 10
-6 13 24 3 36
-7 2 14 25 37
-8 1 23 15 38
-9 45 4 19 30
-10 34 5 20 32
-11 35 46 3 21
-12 22 33 2 47
-13 6 28 20 53
-14 35 7 29 42
-15 22 44 8 30
-16 4 31 32 54
-17 45 5 31 43
-18 3 47 32 43
-19 59 39 29 9
-20 44 13 40 10
-21 11 25 41 31
-22 12 24 15 52
-23 33 8 42 53
-24 22 55 6 42
-25 36 7 51 21
-26 35 4 38 51
-27 46 36 47 5
-28 13 60 39 41
-29 14 48 19 52
-30 34 15 49 9
-31 16 17 50 21
-32 58 16 18 10
-33 12 23 34 59
-34 33 60 30 10
-35 11 57 14 26
-36 57 25 27 6
-37 45 38 7 54
-38 47 26 37 8
-39 56 28 50 19
-40 55 48 50 20
-41 58 48 28 21
-42 23 56 24 14
-43 44 60 17 18
-44 15 59 20 43
-45 58 37 17 9
-46 11 55 27 53
-47 12 27 38 18
-48 49 29 40 41
-49 56 48 30 54
-50 57 39 40 31
-51 56 25 26 52
-52 22 29 51 53
-53 23 13 46 52
-54 37 59 16 49
-55 24 46 60 40
-56 49 39 51 42
-57 35 36 58 50
-58 45 57 41 32
-59 33 44 19 54
-60 55 34 28 43
0

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