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On this page are computer-accessible forms for the graph C4[ 144, 26 ] = PL(Curtain_18(1,9,2,10,11),[4^18,8^9]).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {72, 78} under the group generated by the following permutations:

a: (7, 15)(8, 18)(12, 23)(13, 26)(16, 29)(24, 40)(34, 43)(47, 57)(74, 103)(81, 129)(84, 107)(86, 111)(87, 130)(89, 104)(116, 134)(123, 133)
b: (2, 4)(3, 9)(5, 14)(6, 17)(7, 19)(8, 32)(11, 25)(12, 22)(13, 42)(15, 30)(16, 21)(18, 48)(20, 60)(23, 33)(24, 28)(26, 58)(27, 51)(29, 35)(31, 46)(34, 70)(36, 52)(37, 55)(38, 41)(40, 44)(43, 65)(45, 66)(47, 62)(50, 63)(53, 67)(54, 57)(56, 59)(61, 72)(64, 71)(68, 69)(73, 83)(74, 76)(75, 134)(77, 79)(80, 118)(81, 92)(82, 89)(84, 122)(85, 90)(86, 121)(87, 132)(88, 144)(91, 135)(93, 120)(94, 119)(95, 96)(97, 115)(98, 111)(99, 130)(100, 125)(101, 104)(102, 128)(103, 136)(105, 116)(106, 127)(107, 139)(108, 123)(109, 126)(110, 137)(112, 124)(113, 131)(114, 129)(117, 138)(133, 143)(140, 141)
c: (1, 3)(2, 6)(4, 5)(7, 49)(8, 17, 16, 9)(10, 11)(12, 52)(13, 25, 24, 14)(15, 36)(18, 30)(19, 29)(20, 28, 43, 35, 31, 42, 57, 48)(21, 34, 44, 41, 32, 47, 58, 27)(22, 40)(23, 39)(26, 33)(37, 38, 61, 70, 45, 46, 53, 65)(50, 51, 69, 62, 59, 60, 64, 54)(55, 72, 66, 68)(56, 71, 63, 67)(73, 89)(74, 75, 111, 99)(76, 80, 92, 77, 143, 119, 121, 141)(78, 124, 117, 94)(79, 93, 109, 100)(81, 82, 103, 139)(83, 90)(84, 85)(86, 122, 123, 101)(87, 144)(91, 134)(95, 128)(96, 104)(97, 116)(98, 110, 108, 112, 114, 126, 136, 131)(102, 130)(105, 133, 132, 129)(106, 115)(107, 127)(113, 125, 118, 142)(120, 137, 138, 140)
d: (19, 30)(21, 48, 32, 35)(22, 33)(28, 58, 42, 44)(38, 65, 46, 70)(51, 54, 60, 62)(55, 66)(56, 63)(75, 105)(76, 121, 143, 92)(79, 109)(82, 101)(94, 124)(98, 136, 114, 108)(99, 132)(113, 118)(122, 139)(137, 140)
e: (3, 6)(5, 11)(7, 15)(8, 13)(12, 23)(16, 24)(18, 26)(29, 40)(84, 89)(87, 134)(104, 107)(116, 130)
f: (9, 17)(14, 25)(19, 30)(21, 28)(22, 33)(32, 42)(35, 44)(48, 58)(75, 132)(82, 122)(99, 105)(101, 139)
g: (9, 19)(14, 22)(17, 30)(25, 33)(35, 44)(36, 49)(39, 52)(48, 58)(73, 96)(75, 139)(82, 105)(85, 127)(91, 97)(99, 122)(101, 132)(102, 144)
h: (19, 30)(21, 48, 32, 35)(22, 33)(28, 58, 42, 44)(37, 50)(38, 54, 60, 70)(45, 59)(46, 62, 51, 65)(55, 68, 66, 71)(56, 67, 63, 72)(75, 105)(76, 121, 143, 92)(78, 100)(79, 94, 140, 118)(82, 101)(93, 125)(98, 136, 114, 108)(99, 132)(109, 113, 137, 124)(117, 120)(122, 139)(138, 142)
m: (20, 31)(27, 41)(34, 47)(37, 45)(43, 57)(50, 59)(53, 61)(64, 69)(77, 141)(80, 119)(110, 126)(112, 131)
n1: (19, 30)(21, 48)(22, 33)(28, 58)(32, 35)(38, 46)(42, 44)(51, 60)(75, 105)(76, 108)(82, 101)(92, 98)(99, 132)(114, 121)(122, 139)(136, 143)
a1: (3, 7)(5, 12)(6, 15)(11, 23)(18, 26)(29, 40)(36, 39)(49, 52)(83, 95)(84, 130)(87, 104)(88, 128)(89, 116)(90, 106)(107, 134)(115, 135)
b1: (34, 47)(37, 53)(43, 57)(45, 61)(50, 64)(59, 69)(67, 71)(68, 72)(77, 131)(78, 117)(80, 110)(93, 100)(112, 141)(119, 126)(120, 138)(125, 142)
c1: (7, 15)(8, 18, 16, 29)(12, 23)(13, 26, 24, 40)(20, 43, 27, 34)(31, 57, 41, 47)(53, 61)(64, 69)(74, 81, 133, 86)(77, 110)(80, 112)(84, 107)(87, 130)(89, 104)(103, 111, 123, 129)(116, 134)(119, 131)(126, 141)
d1: (19, 30)(21, 35)(22, 33)(28, 44)(32, 48)(42, 58)(54, 62)(65, 70)(75, 105)(76, 136)(82, 101)(92, 114)(98, 121)(99, 132)(108, 143)(122, 139)
e1: (1, 2)(4, 10)(9, 14)(17, 25)(19, 22)(30, 33)(36, 49)(39, 52)(73, 85)(91, 144)(96, 127)(97, 102)
f1: (19, 30)(21, 48, 32, 35)(22, 33)(28, 58, 42, 44)(38, 54, 60, 70)(46, 62, 51, 65)(53, 64)(55, 72, 66, 67)(56, 71, 63, 68)(61, 69)(75, 105)(76, 121, 143, 92)(78, 138)(79, 94, 140, 118)(82, 101)(93, 117)(98, 136, 114, 108)(99, 132)(100, 142)(109, 113, 137, 124)(120, 125)(122, 139)
g1: (19, 30)(21, 48, 32, 35)(22, 33)(28, 58, 42, 44)(38, 54, 46, 62)(51, 65, 60, 70)(67, 72)(68, 71)(75, 105)(76, 121, 143, 92)(79, 137)(82, 101)(94, 113)(98, 136, 114, 108)(99, 132)(109, 140)(118, 124)(122, 139)

(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.

**************

&Graph
C4[ 144, 26 ]
144
-1 83 73 95 96
-2 83 127 95 85
-3 89 90 104 128
-4 90 73 106 96
-5 89 104 115 83
-6 90 84 128 107
-7 88 116 106 87
-8 103 84 86 130
-9 101 102 82 85
-10 90 127 106 85
-11 115 83 84 107
-12 135 116 95 87
-13 89 103 116 86
-14 101 82 73 97
-15 88 134 106 130
-16 123 81 84 130
-17 122 102 139 85
-18 111 74 107 87
-19 132 144 105 127
-20 110 80 81 129
-21 99 122 92 108
-22 132 91 105 96
-23 134 135 95 130
-24 89 123 81 116
-25 122 73 139 97
-26 111 134 104 74
-27 110 111 80 86
-28 92 82 105 108
-29 133 107 129 87
-30 99 144 127 75
-31 81 126 129 119
-32 99 121 122 136
-33 99 91 96 75
-34 77 112 123 74
-35 132 143 114 139
-36 88 91 102 115
-37 93 117 119 131
-38 121 94 98 109
-39 91 102 135 128
-40 133 134 104 129
-41 111 126 86 119
-42 121 136 82 105
-43 77 133 112 103
-44 143 101 114 75
-45 112 80 93 117
-46 92 114 94 109
-47 123 74 141 131
-48 132 139 76 98
-49 88 144 115 97
-50 125 119 120 131
-51 121 137 118 98
-52 144 135 128 97
-53 77 78 100 126
-54 143 113 136 140
-55 113 94 138 120
-56 100 124 93 118
-57 133 103 141 131
-58 101 75 76 98
-59 112 80 125 120
-60 92 114 137 118
-61 110 78 100 141
-62 113 140 108 76
-63 100 113 93 94
-64 77 126 138 142
-65 143 79 124 136
-66 124 138 118 120
-67 78 79 125 109
-68 137 117 140 142
-69 110 138 141 142
-70 79 124 108 76
-71 79 117 109 142
-72 78 125 137 140
-73 1 14 25 4
-74 34 47 26 18
-75 33 44 58 30
-76 58 48 70 62
-77 34 53 64 43
-78 67 61 72 53
-79 67 70 71 65
-80 45 59 27 20
-81 24 16 20 31
-82 14 28 9 42
-83 11 1 2 5
-84 11 16 6 8
-85 2 17 9 10
-86 13 27 8 41
-87 12 7 18 29
-88 36 15 49 7
-89 13 24 3 5
-90 3 4 6 10
-91 22 33 36 39
-92 46 60 28 21
-93 45 56 37 63
-94 55 46 38 63
-95 1 12 23 2
-96 22 33 1 4
-97 14 25 49 52
-98 58 48 38 51
-99 33 30 21 32
-100 56 61 63 53
-101 44 14 58 9
-102 36 17 39 9
-103 13 57 8 43
-104 3 26 5 40
-105 22 28 19 42
-106 4 15 7 10
-107 11 6 18 29
-108 70 28 62 21
-109 67 46 38 71
-110 69 27 61 20
-111 26 27 18 41
-112 34 45 59 43
-113 55 62 63 54
-114 44 35 46 60
-115 11 36 5 49
-116 12 13 24 7
-117 45 68 37 71
-118 66 56 60 51
-119 37 50 41 31
-120 55 66 59 50
-121 38 51 42 32
-122 25 17 21 32
-123 34 24 47 16
-124 66 56 70 65
-125 67 59 50 72
-126 41 31 53 64
-127 2 19 30 10
-128 3 6 39 52
-129 29 40 20 31
-130 23 15 16 8
-131 57 47 37 50
-132 22 35 48 19
-133 57 29 40 43
-134 23 15 26 40
-135 12 23 39 52
-136 42 32 54 65
-137 68 60 72 51
-138 55 66 69 64
-139 35 25 48 17
-140 68 72 62 54
-141 57 47 69 61
-142 68 69 71 64
-143 44 35 54 65
-144 49 19 30 52
0

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