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On this page are computer-accessible forms for the graph C4[ 70, 4 ] = B(Odd4).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {32, 41} under the group generated by the following permutations:

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

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

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