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On this page are computer-accessible forms for the graph C4[ 144, 71 ] = SS[144,23].

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {100, 101} under the group generated by the following permutations:

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

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