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On this page are computer-accessible forms for the graph C4[ 144, 70 ] = SS[144,22].

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