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On this page are computer-accessible forms for the graph C4[ 108, 14 ] = PL(RC(3,3),[3^18,6^9]).

(I) Following is a form readable by MAGMA:

g:=Graph<108|{ {50, 58}, {50, 57}, {51, 56}, {54, 56}, {45, 61}, {46, 62}, {43, 57}, {41, 62}, {47, 56}, {32, 56}, {36, 61}, {36, 57}, {39, 58}, {34, 61}, {26, 59}, {24, 58}, {25, 62}, {18, 59}, {16, 61}, {22, 59}, {20, 57}, {7, 55}, {12, 60}, {10, 59}, {11, 58}, {5, 55}, {4, 55}, {15, 60}, {12, 63}, {3, 55}, {9, 60}, {9, 63}, {10, 60}, {9, 62}, {2, 63}, {1, 63}, {8, 72}, {40, 104}, {4, 69}, {13, 76}, {11, 74}, {6, 71}, {38, 103}, {6, 68}, {46, 108}, {23, 85}, {20, 86}, {10, 72}, {8, 74}, {7, 69}, {28, 94}, {41, 107}, {11, 72}, {47, 108}, {14, 77}, {13, 73}, {46, 106}, {45, 105}, {26, 94}, {14, 74}, {31, 91}, {33, 101}, {24, 93}, {45, 104}, {33, 100}, {34, 103}, {38, 99}, {1, 71}, {16, 86}, {13, 75}, {8, 78}, {2, 68}, {36, 98}, {9, 65}, {22, 95}, {27, 82}, {30, 87}, {3, 73}, {7, 77}, {31, 85}, {34, 104}, {23, 92}, {42, 97}, {12, 64}, {26, 86}, {40, 100}, {2, 79}, {44, 97}, {1, 79}, {27, 85}, {5, 75}, {4, 74}, {36, 106}, {37, 107}, {3, 76}, {30, 81}, {41, 102}, {1, 81}, {22, 70}, {18, 66}, {17, 65}, {2, 83}, {53, 100}, {51, 98}, {49, 96}, {22, 71}, {15, 94}, {5, 84}, {29, 76}, {23, 69}, {52, 102}, {26, 72}, {3, 80}, {51, 96}, {17, 66}, {4, 87}, {29, 78}, {21, 65}, {54, 98}, {53, 97}, {5, 80}, {48, 101}, {18, 71}, {6, 83}, {11, 93}, {24, 78}, {21, 67}, {19, 69}, {14, 88}, {6, 81}, {23, 79}, {52, 108}, {28, 68}, {25, 65}, {13, 84}, {48, 105}, {25, 64}, {20, 77}, {15, 86}, {14, 87}, {10, 80}, {27, 64}, {19, 79}, {16, 77}, {53, 104}, {27, 70}, {52, 106}, {7, 88}, {52, 107}, {28, 67}, {15, 80}, {31, 64}, {41, 73}, {43, 75}, {33, 67}, {48, 82}, {33, 66}, {45, 78}, {37, 70}, {32, 68}, {49, 84}, {37, 66}, {51, 84}, {46, 73}, {50, 90}, {54, 95}, {48, 90}, {50, 89}, {54, 93}, {12, 96}, {53, 89}, {49, 93}, {47, 67}, {39, 75}, {42, 70}, {8, 102}, {49, 95}, {34, 76}, {19, 99}, {28, 108}, {40, 88}, {21, 100}, {35, 82}, {42, 91}, {17, 99}, {43, 89}, {35, 81}, {38, 85}, {17, 101}, {47, 91}, {44, 88}, {19, 103}, {29, 105}, {35, 87}, {44, 89}, {20, 98}, {21, 99}, {30, 105}, {43, 92}, {42, 82}, {18, 107}, {25, 96}, {35, 90}, {16, 106}, {29, 103}, {37, 95}, {38, 92}, {30, 101}, {32, 91}, {39, 92}, {40, 83}, {39, 90}, {24, 102}, {31, 97}, {32, 94}, {44, 83} }>;

(II) A more general form is to represent the graph as the orbit of {50, 58} under the group generated by the following permutations:

a: (1, 3)(2, 5)(4, 9)(6, 13)(7, 12)(8, 17)(10, 19)(11, 21)(14, 25)(15, 23)(16, 27)(18, 29)(20, 31)(22, 34)(24, 33)(26, 38)(28, 39)(30, 41)(32, 43)(35, 46)(36, 42)(37, 45)(40, 49)(44, 51)(47, 50)(48, 52)(53, 54)(55, 63)(56, 89)(57, 91)(58, 67)(59, 103)(60, 69)(61, 70)(62, 87)(64, 77)(65, 74)(66, 78)(68, 75)(71, 76)(72, 99)(73, 81)(79, 80)(82, 106)(83, 84)(85, 86)(88, 96)(90, 108)(92, 94)(93, 100)(95, 104)(97, 98)(101, 102)(105, 107)
b: (1, 4)(2, 7)(3, 9)(5, 12)(6, 14)(8, 18)(11, 22)(13, 25)(16, 28)(17, 29)(20, 32)(21, 34)(24, 37)(27, 39)(31, 43)(33, 45)(36, 47)(42, 50)(55, 63)(56, 98)(57, 91)(58, 70)(59, 72)(60, 80)(61, 67)(62, 73)(64, 75)(65, 76)(66, 78)(68, 77)(69, 79)(71, 74)(81, 87)(82, 90)(83, 88)(84, 96)(85, 92)(86, 94)(89, 97)(93, 95)(99, 103)(100, 104)(101, 105)(102, 107)(106, 108)
c: (3, 5)(8, 11)(9, 12)(16, 20)(17, 27)(18, 22)(19, 23)(21, 31)(28, 32)(29, 39)(30, 35)(33, 42)(34, 43)(40, 44)(41, 49)(45, 50)(46, 51)(52, 54)(56, 108)(57, 61)(58, 78)(62, 96)(64, 65)(66, 70)(67, 91)(73, 84)(75, 76)(82, 101)(85, 99)(89, 104)(90, 105)(92, 103)(93, 102)(95, 107)(97, 100)(98, 106)
d: (4, 10)(7, 15)(9, 19)(12, 23)(14, 26)(18, 30)(22, 35)(25, 38)(28, 40)(29, 41)(32, 44)(34, 46)(37, 48)(39, 49)(43, 51)(45, 52)(47, 53)(50, 54)(55, 80)(56, 89)(57, 98)(58, 93)(59, 87)(60, 69)(61, 106)(62, 103)(63, 79)(64, 85)(65, 99)(66, 101)(67, 100)(68, 83)(70, 82)(71, 81)(72, 74)(73, 76)(75, 84)(77, 86)(78, 102)(88, 94)(90, 95)(91, 97)(92, 96)(104, 108)(105, 107)
e: (1, 2)(4, 7)(8, 16)(10, 15)(11, 20)(17, 21)(18, 28)(22, 32)(24, 36)(27, 31)(29, 34)(30, 40)(35, 44)(37, 47)(39, 43)(41, 46)(48, 53)(49, 51)(56, 95)(57, 58)(59, 94)(61, 78)(66, 67)(68, 71)(70, 91)(72, 86)(74, 77)(81, 83)(82, 97)(87, 88)(89, 90)(93, 98)(100, 101)(102, 106)(104, 105)(107, 108)
f: (2, 6)(3, 8)(5, 11)(7, 14)(9, 18)(12, 22)(13, 24)(15, 26)(19, 30)(21, 33)(23, 35)(25, 37)(31, 42)(34, 45)(38, 48)(43, 50)(46, 52)(51, 54)(55, 74)(58, 75)(59, 60)(62, 107)(63, 71)(64, 70)(65, 66)(69, 87)(72, 80)(73, 102)(76, 78)(79, 81)(82, 85)(84, 93)(90, 92)(95, 96)(99, 101)(103, 105)

(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[ 108, 14 ]
108
-1 79 81 71 63
-2 68 79 83 63
-3 55 80 73 76
-4 55 69 74 87
-5 55 80 84 75
-6 68 81 71 83
-7 55 77 88 69
-8 78 102 72 74
-9 60 62 63 65
-10 80 59 60 72
-11 58 93 72 74
-12 60 63 96 64
-13 73 84 75 76
-14 77 88 74 87
-15 80 60 94 86
-16 77 61 106 86
-17 66 99 101 65
-18 66 59 71 107
-19 99 79 69 103
-20 77 57 86 98
-21 99 67 100 65
-22 59 70 71 95
-23 79 69 92 85
-24 78 58 102 93
-25 62 96 64 65
-26 59 72 94 86
-27 70 82 85 64
-28 67 68 94 108
-29 78 103 105 76
-30 101 81 105 87
-31 91 85 64 97
-32 56 68 91 94
-33 66 67 100 101
-34 103 104 61 76
-35 90 81 82 87
-36 57 61 106 98
-37 66 70 95 107
-38 99 92 103 85
-39 90 58 92 75
-40 88 100 104 83
-41 102 62 73 107
-42 91 70 82 97
-43 89 57 92 75
-44 88 89 83 97
-45 78 104 61 105
-46 62 73 106 108
-47 56 67 91 108
-48 90 101 82 105
-49 93 84 95 96
-50 89 57 90 58
-51 56 84 96 98
-52 102 106 107 108
-53 89 100 104 97
-54 56 93 95 98
-55 3 4 5 7
-56 47 51 32 54
-57 36 50 20 43
-58 11 24 39 50
-59 22 26 18 10
-60 12 15 9 10
-61 34 45 36 16
-62 46 25 41 9
-63 1 12 2 9
-64 12 25 27 31
-65 25 17 9 21
-66 33 37 17 18
-67 33 47 28 21
-68 2 6 28 32
-69 23 4 7 19
-70 22 37 27 42
-71 22 1 6 18
-72 11 26 8 10
-73 13 46 3 41
-74 11 14 4 8
-75 13 5 39 43
-76 34 13 3 29
-77 14 16 7 20
-78 45 24 29 8
-79 1 23 2 19
-80 3 15 5 10
-81 1 35 6 30
-82 35 48 27 42
-83 44 2 6 40
-84 13 5 49 51
-85 23 27 38 31
-86 15 26 16 20
-87 35 14 4 30
-88 44 14 7 40
-89 44 50 53 43
-90 35 48 39 50
-91 47 31 42 32
-92 23 38 39 43
-93 11 24 49 54
-94 15 26 28 32
-95 22 37 49 54
-96 12 25 49 51
-97 44 31 42 53
-98 36 51 20 54
-99 38 17 19 21
-100 33 40 53 21
-101 33 48 17 30
-102 24 8 41 52
-103 34 38 29 19
-104 34 45 40 53
-105 45 48 29 30
-106 46 36 16 52
-107 37 18 41 52
-108 46 47 28 52
0

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