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On this page are computer-accessible forms for the graph C4[ 73, 1 ] = C_73(1,27).

(I) Following is a form readable by MAGMA:

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

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

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