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On this page are computer-accessible forms for the graph C4[ 148, 3 ] = R_74(39,38).

(I) Following is a form readable by MAGMA:

g:=Graph<148|{ {2, 3}, {72, 73}, {70, 71}, {68, 69}, {66, 67}, {64, 65}, {62, 63}, {60, 61}, {58, 59}, {56, 57}, {34, 35}, {32, 33}, {30, 31}, {28, 29}, {26, 27}, {24, 25}, {22, 23}, {20, 21}, {18, 19}, {16, 17}, {14, 15}, {12, 13}, {10, 11}, {8, 9}, {6, 7}, {4, 5}, {36, 37}, {38, 39}, {40, 41}, {42, 43}, {44, 45}, {46, 47}, {48, 49}, {50, 51}, {52, 53}, {54, 55}, {1, 2}, {73, 74}, {69, 70}, {65, 66}, {61, 62}, {57, 58}, {33, 34}, {29, 30}, {25, 26}, {21, 22}, {17, 18}, {13, 14}, {9, 10}, {5, 6}, {37, 38}, {41, 42}, {45, 46}, {49, 50}, {53, 54}, {3, 4}, {67, 68}, {59, 60}, {27, 28}, {19, 20}, {11, 12}, {35, 36}, {43, 44}, {51, 52}, {7, 8}, {71, 72}, {23, 24}, {39, 40}, {55, 56}, {15, 16}, {47, 48}, {64, 99}, {72, 107}, {68, 103}, {75, 111}, {91, 127}, {90, 126}, {89, 125}, {88, 124}, {83, 119}, {82, 118}, {81, 117}, {80, 116}, {65, 100}, {73, 108}, {67, 102}, {80, 118}, {89, 127}, {88, 126}, {81, 119}, {66, 101}, {74, 109}, {82, 120}, {87, 125}, {86, 124}, {83, 121}, {84, 120}, {87, 123}, {86, 122}, {85, 121}, {69, 104}, {71, 106}, {84, 122}, {85, 123}, {70, 105}, {75, 113}, {79, 117}, {78, 116}, {76, 112}, {79, 115}, {78, 114}, {77, 113}, {76, 114}, {77, 115}, {31, 32}, {1, 75}, {33, 107}, {32, 106}, {21, 95}, {20, 94}, {17, 91}, {16, 90}, {5, 79}, {4, 78}, {36, 110}, {37, 111}, {48, 122}, {49, 123}, {52, 126}, {53, 127}, {1, 74}, {2, 76}, {34, 108}, {19, 93}, {18, 92}, {3, 77}, {35, 109}, {50, 124}, {51, 125}, {6, 80}, {15, 89}, {14, 88}, {7, 81}, {38, 112}, {39, 113}, {46, 120}, {47, 121}, {8, 82}, {13, 87}, {12, 86}, {9, 83}, {40, 114}, {41, 115}, {44, 118}, {45, 119}, {61, 96}, {63, 98}, {10, 84}, {11, 85}, {42, 116}, {43, 117}, {62, 97}, {40, 75}, {60, 95}, {56, 91}, {44, 79}, {48, 83}, {52, 87}, {41, 76}, {59, 94}, {57, 92}, {43, 78}, {49, 84}, {51, 86}, {42, 77}, {58, 93}, {50, 85}, {2, 111}, {18, 127}, {16, 125}, {53, 88}, {55, 90}, {1, 110}, {17, 126}, {54, 89}, {3, 112}, {15, 124}, {11, 120}, {7, 116}, {4, 113}, {14, 123}, {12, 121}, {6, 115}, {22, 96}, {31, 105}, {30, 104}, {23, 97}, {5, 114}, {13, 122}, {24, 98}, {29, 103}, {28, 102}, {25, 99}, {8, 117}, {10, 119}, {45, 80}, {47, 82}, {26, 100}, {27, 101}, {9, 118}, {63, 64}, {46, 81}, {19, 128}, {31, 140}, {27, 136}, {23, 132}, {20, 129}, {30, 139}, {28, 137}, {22, 131}, {21, 130}, {29, 138}, {24, 133}, {26, 135}, {25, 134}, {32, 141}, {34, 143}, {33, 142}, {35, 144}, {39, 148}, {36, 145}, {38, 147}, {54, 128}, {63, 137}, {62, 136}, {55, 129}, {37, 146}, {56, 130}, {61, 135}, {60, 134}, {57, 131}, {58, 132}, {59, 133}, {64, 138}, {69, 143}, {68, 142}, {65, 139}, {66, 140}, {67, 141}, {70, 144}, {71, 145}, {72, 146}, {95, 133}, {94, 132}, {91, 129}, {90, 128}, {73, 147}, {92, 128}, {95, 131}, {94, 130}, {93, 129}, {74, 148}, {93, 131}, {92, 130}, {96, 132}, {112, 148}, {107, 143}, {106, 142}, {105, 141}, {104, 140}, {99, 135}, {98, 134}, {97, 133}, {96, 134}, {105, 143}, {104, 142}, {97, 135}, {98, 136}, {103, 141}, {102, 140}, {99, 137}, {100, 136}, {103, 139}, {102, 138}, {101, 137}, {100, 138}, {101, 139}, {106, 144}, {110, 148}, {107, 145}, {108, 144}, {111, 147}, {110, 146}, {109, 145}, {108, 146}, {109, 147} }>;

(II) A more general form is to represent the graph as the orbit of {2, 3} under the group generated by the following permutations:

a: (24, 97)(25, 62)(26, 136)(61, 134)(63, 99)(98, 135)
b: (14, 87)(15, 52)(16, 126)(51, 124)(53, 89)(88, 125)
c: (16, 89)(17, 54)(18, 128)(53, 126)(55, 91)(90, 127)
d: (15, 88)(16, 126)(52, 125)(53, 89)
e: (13, 86)(14, 124)(50, 123)(51, 87)
f: (8, 81)(9, 46)(10, 120)(45, 118)(47, 83)(82, 119)
g: (6, 79)(7, 44)(8, 118)(43, 116)(45, 81)(80, 117)
h: (34, 107)(35, 72)(36, 146)(71, 144)(73, 109)(108, 145)
m: (28, 101)(29, 66)(30, 140)(65, 138)(67, 103)(102, 139)
n1: (4, 77)(5, 42)(6, 116)(41, 114)(43, 79)(78, 115)
a1: (18, 91)(19, 56)(20, 130)(55, 128)(57, 93)(92, 129)
b1: (32, 105)(33, 70)(34, 144)(69, 142)(71, 107)(106, 143)
c1: (22, 95)(23, 60)(24, 134)(59, 132)(61, 97)(96, 133)
d1: (9, 82)(10, 120)(46, 119)(47, 83)
e1: (26, 99)(27, 64)(28, 138)(63, 136)(65, 101)(100, 137)
f1: (35, 108)(36, 146)(72, 145)(73, 109)
g1: (25, 98)(26, 136)(62, 135)(63, 99)
h1: (27, 100)(28, 138)(64, 137)(65, 101)
m1: (31, 104)(32, 142)(68, 141)(69, 105)
n2: (11, 84)(12, 122)(48, 121)(49, 85)
a2: (10, 83)(11, 48)(12, 122)(47, 120)(49, 85)(84, 121)
b2: (7, 80)(8, 118)(44, 117)(45, 81)
c2: (33, 106)(34, 144)(70, 143)(71, 107)
d2: (20, 93)(21, 58)(22, 132)(57, 130)(59, 95)(94, 131)
e2: (17, 90)(18, 128)(54, 127)(55, 91)
f2: (1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74)(75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148)
g2: (12, 85)(13, 50)(14, 124)(49, 122)(51, 87)(86, 123)
h2: (29, 102)(30, 140)(66, 139)(67, 103)
m2: (5, 78)(6, 116)(42, 115)(43, 79)
n3: (19, 92)(20, 130)(56, 129)(57, 93)
a3: (21, 94)(22, 132)(58, 131)(59, 95)
b3: (2, 110, 75, 74)(3, 36, 113, 109)(4, 35)(5, 34)(6, 33)(7, 32)(8, 31)(9, 30)(10, 29)(11, 28)(12, 27)(13, 26)(14, 25)(15, 24)(16, 23)(17, 22)(18, 21)(19, 20)(37, 39, 147, 112)(40, 73, 76, 146)(41, 72)(42, 71)(43, 70)(44, 69)(45, 68)(46, 67)(47, 66)(48, 65)(49, 64)(50, 63)(51, 62)(52, 61)(53, 60)(54, 59)(55, 58)(56, 57)(77, 145)(78, 144)(79, 143)(80, 142)(81, 141)(82, 140)(83, 139)(84, 138)(85, 137)(86, 136)(87, 135)(88, 134)(89, 133)(90, 132)(91, 131)(92, 130)(93, 129)(94, 128)(95, 127)(96, 126)(97, 125)(98, 124)(99, 123)(100, 122)(101, 121)(102, 120)(103, 119)(104, 118)(105, 117)(106, 116)(107, 115)(108, 114)(111, 148)
c3: (36, 109)(37, 147)(73, 146)(74, 110)
d3: (30, 103)(31, 68)(32, 142)(67, 140)(69, 105)(104, 141)
e3: (23, 96)(24, 134)(60, 133)(61, 97)

(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[ 148, 3 ]
148
-1 110 2 74 75
-2 1 111 3 76
-3 77 2 112 4
-4 78 3 113 5
-5 79 4 114 6
-6 80 5 115 7
-7 81 6 116 8
-8 82 7 117 9
-9 83 8 118 10
-10 11 84 9 119
-11 12 85 10 120
-12 11 121 13 86
-13 12 122 14 87
-14 88 13 123 15
-15 89 14 124 16
-16 90 15 125 17
-17 91 16 126 18
-18 92 17 127 19
-19 93 18 128 20
-20 94 19 129 21
-21 22 95 20 130
-22 23 96 21 131
-23 22 132 24 97
-24 23 133 25 98
-25 99 24 134 26
-26 100 25 135 27
-27 101 26 136 28
-28 102 27 137 29
-29 103 28 138 30
-30 104 29 139 31
-31 105 30 140 32
-32 33 106 31 141
-33 34 107 32 142
-34 33 143 35 108
-35 34 144 36 109
-36 110 35 145 37
-37 111 36 146 38
-38 112 37 147 39
-39 113 38 148 40
-40 114 39 41 75
-41 115 40 42 76
-42 77 116 41 43
-43 44 78 117 42
-44 45 79 118 43
-45 44 46 80 119
-46 45 47 81 120
-47 121 46 48 82
-48 122 47 49 83
-49 123 48 50 84
-50 124 49 51 85
-51 125 50 52 86
-52 126 51 53 87
-53 88 127 52 54
-54 55 89 128 53
-55 56 90 129 54
-56 55 57 91 130
-57 56 58 92 131
-58 132 57 59 93
-59 133 58 60 94
-60 134 59 61 95
-61 135 60 62 96
-62 136 61 63 97
-63 137 62 64 98
-64 99 138 63 65
-65 66 100 139 64
-66 67 101 140 65
-67 66 68 102 141
-68 67 69 103 142
-69 143 68 70 104
-70 144 69 71 105
-71 145 70 72 106
-72 146 71 73 107
-73 147 72 74 108
-74 1 148 73 109
-75 1 111 113 40
-76 2 112 114 41
-77 3 113 115 42
-78 4 114 116 43
-79 44 5 115 117
-80 45 6 116 118
-81 46 7 117 119
-82 47 8 118 120
-83 121 48 9 119
-84 122 49 10 120
-85 11 121 123 50
-86 12 122 124 51
-87 13 123 125 52
-88 14 124 126 53
-89 15 125 127 54
-90 55 16 126 128
-91 56 17 127 129
-92 57 18 128 130
-93 58 19 129 131
-94 132 59 20 130
-95 133 60 21 131
-96 22 132 134 61
-97 23 133 135 62
-98 24 134 136 63
-99 25 135 137 64
-100 26 136 138 65
-101 66 27 137 139
-102 67 28 138 140
-103 68 29 139 141
-104 69 30 140 142
-105 143 70 31 141
-106 144 71 32 142
-107 33 143 145 72
-108 34 144 146 73
-109 35 145 147 74
-110 1 36 146 148
-111 2 37 147 75
-112 3 38 148 76
-113 77 4 39 75
-114 78 5 40 76
-115 77 79 6 41
-116 78 80 7 42
-117 79 81 8 43
-118 44 80 82 9
-119 45 81 83 10
-120 11 46 82 84
-121 12 47 83 85
-122 13 48 84 86
-123 14 49 85 87
-124 88 15 50 86
-125 89 16 51 87
-126 88 90 17 52
-127 89 91 18 53
-128 90 92 19 54
-129 55 91 93 20
-130 56 92 94 21
-131 22 57 93 95
-132 23 58 94 96
-133 24 59 95 97
-134 25 60 96 98
-135 99 26 61 97
-136 100 27 62 98
-137 99 101 28 63
-138 100 102 29 64
-139 101 103 30 65
-140 66 102 104 31
-141 67 103 105 32
-142 33 68 104 106
-143 34 69 105 107
-144 35 70 106 108
-145 36 71 107 109
-146 110 37 72 108
-147 111 38 73 109
-148 110 112 39 74
0

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