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On this page are computer-accessible forms for the graph C4[ 75, 1 ] = C_75(1,26).

(I) Following is a form readable by MAGMA:

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

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

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