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On this page are computer-accessible forms for the graph C4[ 80, 21 ] = BGCG(R_10(7, 6), 1; K2).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {38, 47} under the group generated by the following permutations:

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

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

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