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On this page are computer-accessible forms for the graph C4[ 144, 49 ] = SDD(R_18(11,10)).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {66, 80} under the group generated by the following permutations:

a: (24, 25)
b: (2, 4)(14, 30)(19, 24)(25, 47)(27, 52)(43, 63)(61, 71)(66, 67)(73, 74)(77, 85)(80, 92)(84, 91)(88, 106)(101, 105)(103, 116)(113, 133)(119, 130)(127, 140)(132, 141)(139, 144)
c: (48, 50)
d: (34, 37)
e: (16, 49)
f: (35, 68)
g: (58, 60)
h: (10, 22)
m: (52, 71)
n1: (46, 56)
a1: (6, 9)(13, 33)(16, 20)(28, 49)(32, 46)(34, 54)(37, 72)(56, 64)(76, 79)(82, 90)(83, 87)(94, 109)(96, 108)(99, 104)(113, 127)(115, 123)(117, 129)(132, 139)(133, 140)(141, 144)
b1: (18, 26)
c1: (36, 51)
d1: (6, 9)(13, 33)(14, 27)(16, 20)(28, 49)(30, 52)(32, 34)(37, 64)(46, 54)(56, 72)(61, 66)(67, 71)(76, 79)(80, 88)(82, 90)(83, 87)(92, 106)(94, 96)(99, 104)(103, 119)(108, 109)(113, 139)(115, 117)(116, 130)(123, 129)(127, 132)(133, 144)(140, 141)
e1: (54, 72)
f1: (11, 45)
g1: (7, 21)
h1: (30, 67)
m1: (3, 7)(6, 16)(8, 21)(9, 20)(13, 28)(18, 36)(26, 51)(33, 49)(76, 82)(79, 90)(81, 95)(83, 99)(87, 104)(89, 100)(94, 115)(96, 117)(98, 120)(108, 129)(109, 123)(110, 122)
n2: (20, 28)
a2: (15, 17)
b2: (39, 40)
c2: (2, 5)(3, 6)(4, 12)(7, 16)(8, 33)(9, 18)(10, 11)(13, 26)(14, 53, 27, 31)(15, 54, 23, 32)(17, 72, 29, 64)(19, 41)(20, 36)(21, 49)(22, 45)(24, 48)(25, 50)(28, 51)(30, 69, 52, 58)(34, 42, 46, 35)(37, 55, 56, 68)(38, 63)(43, 57)(47, 62)(59, 61, 65, 66)(60, 67, 70, 71)(73, 75)(74, 78)(77, 86)(79, 87)(80, 107, 88, 93)(81, 108, 89, 94)(84, 102)(85, 97)(90, 104)(91, 111)(92, 126, 106, 112)(95, 129, 100, 115)(96, 110, 109, 98)(101, 124)(103, 137, 119, 125)(105, 121)(113, 134, 132, 138)(114, 139, 131, 127)(116, 143, 130, 135)(117, 122, 123, 120)(118, 140, 128, 144)(133, 142, 141, 136)
d2: (6, 33)
e2: (9, 13)
f2: (15, 23)(17, 29)(31, 53)(35, 42)(55, 68)(58, 69)(59, 65)(60, 70)(81, 89)(93, 107)(95, 100)(98, 110)(112, 126)(114, 131)(118, 128)(120, 122)(125, 137)(134, 138)(135, 143)(136, 142)
g2: (12, 38)
h2: (14, 66)
m2: (27, 61)
n3: (23, 29)
a3: (5, 12)(31, 58)(38, 57)(41, 48)(50, 62)(53, 69)(59, 70)(60, 65)(75, 78)(86, 97)(93, 112)(102, 111)(107, 126)(114, 128)(118, 131)(121, 124)(125, 135)(134, 142)(136, 138)(137, 143)
b3: (2, 43)
c3: (53, 59)
d3: (41, 62)
e3: (42, 55)
f3: (5, 57)
g3: (4, 63)
h3: (1, 2, 11, 4)(5, 14, 48, 30)(6, 23)(7, 18)(9, 15)(10, 24, 39, 19)(12, 27, 41, 52)(13, 17)(16, 42)(20, 35)(21, 26)(22, 25, 40, 47)(28, 68)(29, 33)(31, 32)(34, 69)(37, 70)(38, 61, 62, 71)(43, 45, 63, 44)(46, 53)(49, 55)(50, 67, 57, 66)(54, 58)(56, 59)(60, 72)(64, 65)(73, 77, 85, 74)(75, 80, 111, 92)(76, 89)(78, 88, 102, 106)(79, 81)(82, 110)(83, 95)(84, 91, 101, 105)(86, 103, 124, 116)(87, 100)(90, 98)(93, 127, 125, 140)(94, 131)(96, 128)(97, 119, 121, 130)(99, 120)(104, 122)(107, 113, 137, 133)(108, 118)(109, 114)(112, 139, 135, 144)(115, 138)(117, 142)(123, 134)(126, 132, 143, 141)(129, 136)
m3: (3, 18)(7, 36)(8, 26)(15, 35)(17, 68)(21, 51)(23, 42)(29, 55)(76, 87)(79, 83)(81, 98)(82, 104)(89, 110)(90, 99)(95, 120)(100, 122)(114, 134)(118, 136)(128, 142)(131, 138)
n4: (69, 70)

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

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