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On this page are computer-accessible forms for the graph C4[ 144, 73 ] = SS[144,27].

(I) Following is a form readable by MAGMA:

g:=Graph<144|{ {34, 35}, {1, 3}, {113, 115}, {41, 43}, {1, 2}, {1, 5}, {131, 135}, {51, 55}, {34, 38}, {10, 14}, {1, 4}, {40, 45}, {11, 14}, {9, 15}, {40, 46}, {34, 36}, {8, 15}, {34, 37}, {32, 39}, {32, 40}, {133, 141}, {129, 137}, {112, 120}, {39, 47}, {37, 45}, {36, 44}, {35, 43}, {33, 41}, {52, 61}, {133, 140}, {112, 121}, {51, 57}, {132, 142}, {128, 138}, {112, 122}, {54, 60}, {52, 62}, {33, 42}, {131, 136}, {130, 137}, {112, 123}, {39, 44}, {37, 46}, {36, 47}, {80, 91}, {84, 95}, {51, 63}, {134, 138}, {113, 125}, {52, 56}, {80, 92}, {85, 89}, {49, 60}, {114, 127}, {113, 124}, {83, 93}, {48, 63}, {134, 137}, {132, 139}, {113, 126}, {53, 58}, {52, 59}, {81, 94}, {85, 90}, {7, 23}, {71, 87}, {102, 118}, {104, 120}, {7, 22}, {108, 125}, {107, 122}, {47, 62}, {6, 20}, {47, 61}, {43, 57}, {101, 119}, {6, 21}, {109, 126}, {106, 121}, {35, 48}, {72, 91}, {103, 116}, {11, 31}, {44, 56}, {38, 50}, {72, 92}, {74, 94}, {103, 115}, {10, 31}, {110, 123}, {76, 89}, {105, 124}, {8, 30}, {105, 127}, {73, 95}, {75, 93}, {76, 90}, {9, 30}, {45, 58}, {44, 59}, {38, 49}, {79, 88}, {10, 18}, {111, 119}, {110, 118}, {42, 50}, {12, 20}, {11, 19}, {79, 87}, {8, 17}, {111, 118}, {41, 48}, {12, 21}, {9, 16}, {6, 28}, {111, 117}, {109, 119}, {13, 23}, {9, 19}, {8, 18}, {7, 29}, {6, 29}, {111, 116}, {42, 49}, {13, 22}, {11, 16}, {10, 17}, {7, 28}, {43, 55}, {66, 94}, {104, 117}, {67, 93}, {100, 122}, {71, 88}, {98, 125}, {94, 126}, {90, 120}, {64, 99}, {65, 98}, {69, 102}, {70, 101}, {87, 116}, {92, 127}, {68, 96}, {93, 121}, {95, 123}, {91, 124}, {67, 106}, {77, 100}, {64, 107}, {69, 110}, {70, 109}, {75, 96}, {88, 115}, {78, 98}, {89, 117}, {65, 108}, {68, 106}, {77, 99}, {66, 109}, {73, 102}, {74, 101}, {78, 97}, {82, 99}, {84, 102}, {83, 96}, {30, 42}, {81, 101}, {86, 98}, {82, 100}, {30, 41}, {31, 40}, {86, 97}, {29, 37}, {31, 39}, {29, 36}, {28, 38}, {28, 35}, {16, 80}, {17, 81}, {18, 83}, {17, 82}, {16, 85}, {19, 86}, {19, 84}, {27, 83}, {27, 82}, {26, 80}, {27, 81}, {26, 86}, {26, 84}, {26, 85}, {55, 103}, {62, 110}, {24, 73}, {57, 104}, {25, 72}, {21, 71}, {58, 104}, {59, 105}, {24, 75}, {25, 74}, {63, 108}, {25, 77}, {27, 79}, {25, 76}, {60, 105}, {24, 78}, {61, 107}, {61, 100}, {20, 78}, {23, 77}, {22, 76}, {18, 79}, {23, 74}, {20, 73}, {21, 75}, {22, 72}, {63, 97}, {24, 71}, {56, 103}, {55, 87}, {57, 89}, {56, 88}, {58, 90}, {59, 91}, {60, 92}, {62, 95}, {46, 66}, {45, 67}, {46, 65}, {48, 64}, {54, 70}, {54, 68}, {51, 64}, {54, 69}, {50, 70}, {53, 65}, {49, 68}, {53, 67}, {50, 69}, {53, 66}, {13, 143}, {12, 143}, {2, 135}, {3, 139}, {14, 134}, {4, 140}, {4, 141}, {2, 136}, {15, 133}, {5, 143}, {15, 132}, {5, 137}, {2, 143}, {14, 131}, {3, 142}, {5, 138}, {3, 144}, {4, 144}, {12, 144}, {13, 144}, {32, 131}, {33, 133}, {33, 132}, {32, 134}, {96, 128}, {97, 129}, {99, 130}, {107, 130}, {106, 128}, {108, 129}, {114, 130}, {125, 141}, {124, 140}, {114, 128}, {121, 139}, {117, 135}, {114, 129}, {126, 141}, {120, 139}, {116, 135}, {122, 142}, {123, 142}, {127, 138}, {118, 136}, {115, 140}, {119, 136} }>;

(II) A more general form is to represent the graph as the orbit of {34, 35} under the group generated by the following permutations:

a: (1, 16, 99, 141, 90, 114, 33, 22, 97, 142, 91, 51)(2, 11, 82, 126, 58, 128, 42, 7, 78, 123, 59, 55)(3, 80, 64, 4, 85, 130, 133, 76, 129, 132, 72, 63)(5, 9, 77, 125, 120, 127, 41, 13, 86, 122, 124, 57)(6, 73, 62, 56, 116, 131, 10, 81, 66, 67, 68, 38)(8, 74, 65, 121, 60, 35, 12, 84, 61, 115, 117, 134)(14, 17, 94, 53, 106, 49, 28, 20, 95, 52, 103, 135)(15, 25, 108, 139, 92, 48, 144, 26, 107, 140, 89, 137)(18, 101, 46, 93, 54, 34, 21, 102, 47, 88, 111, 32)(19, 100, 113, 104, 138, 30, 23, 98, 112, 105, 43, 143)(24, 110, 44, 87, 136, 31, 27, 109, 45, 96, 50, 29)(36, 71, 118, 39, 79, 119, 40, 83, 70, 37, 75, 69)
b: (3, 4)(6, 7)(8, 9)(10, 11)(12, 13)(16, 18)(17, 19)(20, 23)(21, 22)(24, 25)(26, 27)(36, 37)(39, 40)(44, 45)(46, 47)(52, 53)(55, 57)(56, 58)(59, 67)(60, 68)(61, 65)(62, 66)(63, 64)(69, 70)(71, 76)(72, 75)(73, 74)(77, 78)(79, 85)(80, 83)(81, 84)(82, 86)(87, 89)(88, 90)(91, 93)(92, 96)(94, 95)(97, 99)(98, 100)(101, 102)(103, 104)(105, 106)(107, 108)(109, 110)(112, 113)(115, 120)(116, 117)(118, 119)(121, 124)(122, 125)(123, 126)(127, 128)(129, 130)(132, 133)(139, 140)(141, 142)
c: (2, 3)(4, 5)(6, 7)(8, 10)(9, 11)(12, 13)(14, 15)(16, 19)(17, 18)(20, 22)(21, 23)(24, 25)(28, 29)(30, 31)(32, 33)(35, 36)(37, 38)(39, 41)(40, 42)(43, 47)(44, 48)(45, 50)(46, 49)(51, 52)(53, 54)(55, 61)(56, 64)(57, 62)(58, 69)(59, 63)(60, 65)(66, 68)(67, 70)(71, 77)(72, 78)(73, 76)(74, 75)(79, 82)(80, 86)(81, 83)(84, 85)(87, 100)(88, 99)(89, 95)(90, 102)(91, 97)(92, 98)(93, 101)(94, 96)(103, 107)(104, 110)(105, 108)(106, 109)(111, 112)(113, 114)(115, 130)(116, 122)(117, 123)(118, 120)(119, 121)(124, 129)(125, 127)(126, 128)(131, 132)(133, 134)(135, 142)(136, 139)(137, 140)(138, 141)(143, 144)
d: (1, 14)(2, 131)(3, 11)(4, 10)(5, 134)(6, 36)(7, 37)(8, 133)(9, 132)(12, 39)(13, 40)(16, 139)(17, 141)(18, 140)(19, 142)(20, 47)(21, 44)(22, 45)(23, 46)(24, 52)(25, 53)(26, 112)(27, 113)(28, 34)(30, 33)(31, 144)(32, 143)(56, 71)(58, 76)(59, 75)(60, 68)(61, 78)(62, 73)(63, 64)(65, 77)(66, 74)(67, 72)(79, 115)(80, 121)(81, 126)(82, 125)(83, 124)(84, 123)(85, 120)(86, 122)(87, 103)(89, 104)(91, 93)(92, 106)(96, 105)(97, 107)(98, 100)(99, 108)(101, 109)(102, 110)(127, 128)(129, 130)
e: (2, 4)(3, 5)(8, 10)(9, 11)(14, 15)(28, 29)(30, 31)(32, 33)(35, 36)(37, 38)(39, 41)(40, 42)(43, 44)(45, 49)(46, 50)(47, 48)(51, 52)(53, 54)(55, 56)(57, 59)(58, 60)(61, 64)(62, 63)(65, 69)(66, 70)(67, 68)(72, 76)(73, 78)(80, 85)(84, 86)(87, 88)(89, 91)(90, 92)(93, 96)(94, 101)(95, 97)(98, 102)(99, 100)(104, 105)(108, 110)(111, 113)(112, 114)(115, 116)(117, 124)(118, 125)(119, 126)(120, 127)(121, 128)(122, 130)(123, 129)(131, 133)(132, 134)(135, 140)(136, 141)(137, 142)(138, 139)(143, 144)

(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[ 144, 73 ]
144
-1 2 3 4 5
-2 143 1 135 136
-3 1 144 139 142
-4 1 144 140 141
-5 143 1 137 138
-6 28 29 20 21
-7 22 23 28 29
-8 15 17 18 30
-9 15 16 19 30
-10 14 17 18 31
-11 14 16 19 31
-12 143 144 20 21
-13 22 143 23 144
-14 11 134 10 131
-15 132 133 8 9
-16 11 80 85 9
-17 81 82 8 10
-18 79 83 8 10
-19 11 84 9 86
-20 12 78 6 73
-21 12 71 6 75
-22 13 72 7 76
-23 77 13 7 74
-24 78 71 73 75
-25 77 72 74 76
-26 80 84 85 86
-27 79 81 82 83
-28 35 38 6 7
-29 36 37 6 7
-30 8 41 9 42
-31 11 39 40 10
-32 134 39 40 131
-33 132 133 41 42
-34 35 36 37 38
-35 34 48 28 43
-36 44 34 47 29
-37 34 45 46 29
-38 34 49 28 50
-39 44 47 31 32
-40 45 46 31 32
-41 33 48 30 43
-42 33 49 50 30
-43 55 35 57 41
-44 56 36 59 39
-45 67 58 37 40
-46 66 37 40 65
-47 36 39 61 62
-48 35 41 63 64
-49 68 38 60 42
-50 69 70 38 42
-51 55 57 63 64
-52 56 59 61 62
-53 66 67 58 65
-54 68 69 70 60
-55 103 51 43 87
-56 44 88 103 52
-57 89 104 51 43
-58 45 90 104 53
-59 44 91 105 52
-60 92 49 105 54
-61 100 47 52 107
-62 110 47 95 52
-63 48 51 97 108
-64 99 48 51 107
-65 46 53 108 98
-66 46 94 53 109
-67 45 93 106 53
-68 49 106 96 54
-69 110 102 50 54
-70 101 50 54 109
-71 88 24 21 87
-72 22 25 91 92
-73 24 102 95 20
-74 23 101 25 94
-75 24 93 96 21
-76 22 89 90 25
-77 99 23 100 25
-78 24 20 97 98
-79 88 27 18 87
-80 91 26 92 16
-81 101 27 17 94
-82 99 100 27 17
-83 27 93 18 96
-84 102 26 95 19
-85 89 90 26 16
-86 26 19 97 98
-87 55 79 71 116
-88 56 79 71 115
-89 57 117 85 76
-90 58 85 76 120
-91 80 124 59 72
-92 80 60 72 127
-93 121 67 83 75
-94 66 81 126 74
-95 123 62 73 84
-96 68 83 128 75
-97 78 63 129 86
-98 78 125 86 65
-99 77 82 64 130
-100 77 122 82 61
-101 70 81 74 119
-102 69 73 84 118
-103 55 56 115 116
-104 57 58 117 120
-105 124 59 60 127
-106 121 67 68 128
-107 122 61 64 130
-108 125 63 129 65
-109 66 70 126 119
-110 123 69 62 118
-111 116 117 118 119
-112 121 122 123 120
-113 124 125 115 126
-114 127 128 129 130
-115 88 113 103 140
-116 111 135 103 87
-117 89 111 135 104
-118 110 111 102 136
-119 111 101 136 109
-120 90 112 104 139
-121 112 93 106 139
-122 100 112 107 142
-123 110 112 95 142
-124 91 113 105 140
-125 113 108 141 98
-126 113 94 141 109
-127 92 114 105 138
-128 114 138 106 96
-129 114 137 97 108
-130 99 114 137 107
-131 14 135 136 32
-132 33 15 139 142
-133 33 15 140 141
-134 14 137 138 32
-135 2 116 117 131
-136 2 118 119 131
-137 134 5 129 130
-138 134 5 127 128
-139 121 132 3 120
-140 133 124 4 115
-141 133 4 125 126
-142 132 122 123 3
-143 12 2 13 5
-144 12 13 3 4
0

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