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On this page are computer-accessible forms for the graph C4[ 153, 4 ] = L(F102).

(I) Following is a form readable by MAGMA:

g:=Graph<153|{ {2, 3}, {152, 153}, {148, 149}, {146, 147}, {142, 143}, {140, 141}, {136, 137}, {134, 135}, {130, 131}, {128, 129}, {126, 127}, {124, 125}, {122, 123}, {120, 121}, {118, 119}, {116, 117}, {114, 115}, {104, 105}, {102, 103}, {100, 101}, {98, 99}, {56, 57}, {54, 55}, {52, 53}, {50, 51}, {48, 49}, {46, 47}, {44, 45}, {42, 43}, {30, 31}, {4, 5}, {62, 63}, {64, 65}, {66, 67}, {68, 69}, {78, 79}, {80, 81}, {82, 83}, {84, 85}, {86, 87}, {88, 89}, {90, 91}, {92, 93}, {1, 3}, {148, 150}, {145, 147}, {136, 138}, {133, 135}, {29, 31}, {1, 2}, {149, 150}, {145, 146}, {137, 138}, {133, 134}, {37, 38}, {33, 34}, {1, 5}, {128, 132}, {59, 63}, {25, 29}, {24, 28}, {17, 21}, {16, 20}, {3, 7}, {2, 6}, {97, 101}, {1, 4}, {129, 132}, {10, 12}, {139, 141}, {130, 132}, {41, 47}, {11, 13}, {57, 62}, {139, 140}, {131, 132}, {112, 119}, {72, 79}, {96, 103}, {4, 12}, {113, 121}, {35, 43}, {7, 15}, {6, 14}, {5, 13}, {2, 8}, {49, 59}, {3, 9}, {22, 26}, {32, 44}, {23, 27}, {4, 10}, {151, 153}, {7, 9}, {6, 8}, {5, 11}, {33, 46}, {151, 152}, {39, 40}, {10, 26}, {14, 30}, {13, 29}, {12, 28}, {11, 27}, {36, 53}, {41, 56}, {39, 54}, {37, 52}, {75, 89}, {111, 125}, {35, 48}, {129, 146}, {6, 18}, {13, 25}, {12, 24}, {7, 19}, {106, 127}, {110, 123}, {36, 50}, {32, 55}, {45, 58}, {8, 16}, {109, 117}, {9, 17}, {73, 81}, {77, 85}, {71, 93}, {8, 20}, {15, 19}, {14, 18}, {11, 23}, {10, 22}, {9, 21}, {70, 91}, {74, 87}, {34, 60}, {142, 144}, {65, 95}, {76, 83}, {143, 144}, {108, 115}, {18, 50}, {29, 61}, {76, 108}, {77, 109}, {78, 110}, {17, 48}, {79, 110}, {87, 118}, {89, 120}, {20, 54}, {31, 61}, {25, 59}, {72, 106}, {73, 107}, {15, 44}, {14, 42}, {69, 97}, {68, 97}, {79, 106}, {26, 60}, {64, 102}, {19, 52}, {65, 102}, {67, 100}, {69, 98}, {22, 62}, {25, 49}, {82, 122}, {84, 124}, {86, 126}, {83, 122}, {85, 124}, {87, 126}, {91, 114}, {93, 116}, {66, 104}, {90, 112}, {24, 51}, {67, 104}, {91, 112}, {93, 113}, {21, 56}, {23, 58}, {92, 113}, {15, 32}, {22, 57}, {16, 33}, {17, 35}, {20, 39}, {27, 40}, {71, 116}, {75, 120}, {30, 42}, {70, 114}, {18, 36}, {19, 37}, {94, 105}, {26, 34}, {85, 109}, {23, 45}, {28, 38}, {81, 107}, {21, 41}, {74, 118}, {95, 99}, {16, 46}, {81, 111}, {80, 111}, {83, 108}, {30, 78}, {31, 78}, {24, 64}, {58, 98}, {28, 68}, {60, 100}, {27, 66}, {62, 96}, {63, 96}, {40, 72}, {42, 74}, {41, 73}, {43, 74}, {63, 94}, {38, 68}, {61, 95}, {34, 70}, {35, 71}, {59, 94}, {45, 75}, {47, 73}, {33, 70}, {55, 80}, {53, 82}, {44, 75}, {48, 88}, {52, 92}, {50, 90}, {49, 88}, {53, 92}, {51, 90}, {40, 66}, {43, 71}, {39, 72}, {32, 80}, {37, 84}, {38, 84}, {51, 64}, {57, 77}, {56, 77}, {36, 82}, {46, 86}, {47, 86}, {54, 76}, {55, 76}, {61, 65}, {58, 69}, {60, 67}, {94, 142}, {88, 128}, {89, 128}, {95, 130}, {101, 133}, {117, 149}, {115, 147}, {108, 140}, {99, 130}, {114, 147}, {110, 143}, {105, 139}, {122, 152}, {104, 139}, {123, 152}, {106, 137}, {97, 133}, {125, 153}, {116, 144}, {111, 138}, {124, 153}, {117, 144}, {105, 142}, {126, 150}, {127, 150}, {98, 136}, {107, 129}, {99, 136}, {100, 148}, {103, 151}, {96, 145}, {119, 134}, {102, 151}, {101, 148}, {119, 131}, {123, 143}, {121, 141}, {118, 131}, {120, 141}, {103, 145}, {127, 137}, {113, 135}, {112, 134}, {125, 138}, {109, 149}, {107, 146}, {121, 135}, {115, 140} }>;

(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: (1, 2, 3)(4, 6, 7)(5, 8, 9)(10, 14, 15)(11, 16, 17)(12, 18, 19)(13, 20, 21)(22, 30, 32)(23, 33, 35)(24, 36, 37)(25, 39, 41)(26, 42, 44)(27, 46, 48)(28, 50, 52)(29, 54, 56)(31, 55, 57)(34, 43, 45)(38, 51, 53)(40, 47, 49)(58, 70, 71)(59, 72, 73)(60, 74, 75)(61, 76, 77)(62, 78, 80)(63, 79, 81)(64, 82, 84)(65, 83, 85)(66, 86, 88)(67, 87, 89)(68, 90, 92)(69, 91, 93)(94, 106, 107)(95, 108, 109)(96, 110, 111)(97, 112, 113)(98, 114, 116)(99, 115, 117)(100, 118, 120)(101, 119, 121)(102, 122, 124)(103, 123, 125)(104, 126, 128)(105, 127, 129)(130, 140, 149)(131, 141, 148)(132, 139, 150)(133, 134, 135)(136, 147, 144)(137, 146, 142)(138, 145, 143)(151, 152, 153)
b: (2, 3)(4, 5)(6, 9, 8, 7)(10, 11, 12, 13)(14, 21, 20, 19)(15, 18, 17, 16)(22, 27, 28, 29)(23, 24, 25, 26)(30, 56, 39, 37)(31, 57, 40, 38)(32, 36, 35, 46)(33, 44, 50, 48)(34, 45, 51, 49)(41, 54, 52, 42)(43, 47, 55, 53)(58, 64, 59, 60)(61, 62, 66, 68)(63, 67, 69, 65)(70, 75, 90, 88)(71, 86, 80, 82)(72, 84, 78, 77)(73, 76, 92, 74)(79, 85)(81, 83, 93, 87)(89, 91)(94, 100, 98, 102)(95, 96, 104, 97)(99, 103, 105, 101)(106, 124, 110, 109)(107, 108, 113, 118)(111, 122, 116, 126)(112, 128, 114, 120)(115, 121, 119, 129)(117, 127, 125, 123)(130, 145, 139, 133)(131, 146, 140, 135)(132, 147, 141, 134)(136, 151, 142, 148)(137, 153, 143, 149)(138, 152, 144, 150)
c: (2, 4)(3, 5)(6, 10)(7, 11)(8, 12)(9, 13)(14, 22)(15, 23)(16, 24)(17, 25)(18, 26)(19, 27)(20, 28)(21, 29)(30, 57)(31, 56)(32, 58)(33, 51)(34, 50)(35, 59)(36, 60)(37, 40)(38, 39)(41, 61)(42, 62)(43, 63)(44, 45)(46, 64)(47, 65)(48, 49)(52, 66)(53, 67)(54, 68)(55, 69)(70, 90)(71, 94)(72, 84)(73, 95)(74, 96)(76, 97)(77, 78)(79, 85)(80, 98)(81, 99)(82, 100)(83, 101)(86, 102)(87, 103)(92, 104)(93, 105)(106, 124)(107, 130)(108, 133)(109, 110)(111, 136)(112, 114)(113, 139)(115, 134)(116, 142)(117, 143)(118, 145)(119, 147)(121, 141)(122, 148)(123, 149)(125, 137)(126, 151)(127, 153)(129, 132)(131, 146)(135, 140)(150, 152)
d: (4, 5)(7, 9)(10, 11)(12, 13)(14, 18)(15, 21)(16, 20)(17, 19)(22, 23)(24, 29)(25, 28)(26, 27)(30, 50)(31, 51)(32, 41)(33, 39)(34, 40)(35, 52)(36, 42)(37, 48)(38, 49)(43, 53)(44, 56)(45, 57)(46, 54)(47, 55)(58, 62)(59, 68)(60, 66)(61, 64)(63, 69)(70, 72)(71, 92)(73, 80)(74, 82)(75, 77)(76, 86)(78, 90)(79, 91)(83, 87)(84, 88)(85, 89)(94, 97)(95, 102)(96, 98)(99, 103)(100, 104)(101, 105)(106, 114)(107, 111)(108, 126)(109, 120)(110, 112)(113, 116)(115, 127)(117, 121)(118, 122)(119, 123)(124, 128)(125, 129)(130, 151)(131, 152)(132, 153)(133, 142)(134, 143)(135, 144)(136, 145)(137, 147)(138, 146)(139, 148)(140, 150)(141, 149)

(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[ 153, 4 ]
153
-1 2 3 4 5
-2 1 3 6 8
-3 1 2 7 9
-4 1 12 5 10
-5 11 1 13 4
-6 2 14 18 8
-7 3 15 19 9
-8 2 16 6 20
-9 3 17 7 21
-10 22 12 4 26
-11 23 13 5 27
-12 24 4 28 10
-13 11 25 5 29
-14 6 18 30 42
-15 44 7 19 32
-16 33 46 8 20
-17 35 48 9 21
-18 14 36 6 50
-19 15 37 7 52
-20 16 39 8 54
-21 56 17 41 9
-22 57 26 62 10
-23 11 45 58 27
-24 12 28 51 64
-25 13 59 49 29
-26 22 34 60 10
-27 11 66 23 40
-28 12 24 68 38
-29 13 25 61 31
-30 78 14 31 42
-31 78 61 29 30
-32 44 55 80 15
-33 34 46 70 16
-34 33 26 70 60
-35 48 71 17 43
-36 82 50 18 53
-37 38 84 19 52
-38 68 37 28 84
-39 72 40 20 54
-40 66 27 39 72
-41 56 47 73 21
-42 14 30 74 43
-43 35 71 74 42
-44 45 15 75 32
-45 44 23 58 75
-46 33 47 16 86
-47 46 73 41 86
-48 88 35 49 17
-49 88 25 48 59
-50 90 36 18 51
-51 24 90 50 64
-52 37 92 19 53
-53 36 92 82 52
-54 55 39 20 76
-55 80 32 54 76
-56 77 57 41 21
-57 22 77 56 62
-58 23 45 69 98
-59 25 49 94 63
-60 34 67 100 26
-61 29 95 31 65
-62 22 57 63 96
-63 59 94 62 96
-64 24 102 51 65
-65 102 61 95 64
-66 67 27 104 40
-67 66 100 60 104
-68 69 38 28 97
-69 68 58 97 98
-70 33 34 91 114
-71 35 93 116 43
-72 79 39 40 106
-73 47 81 41 107
-74 118 42 43 87
-75 44 45 89 120
-76 55 83 108 54
-77 56 57 85 109
-78 110 79 30 31
-79 110 78 72 106
-80 55 111 81 32
-81 111 80 73 107
-82 122 36 83 53
-83 122 82 108 76
-84 124 37 38 85
-85 77 124 84 109
-86 46 47 126 87
-87 126 74 118 86
-88 89 48 49 128
-89 88 128 75 120
-90 112 91 50 51
-91 90 112 70 114
-92 113 93 52 53
-93 113 92 71 116
-94 59 105 63 142
-95 99 61 130 65
-96 145 103 62 63
-97 133 68 101 69
-98 99 58 69 136
-99 136 95 130 98
-100 67 101 60 148
-101 100 133 148 97
-102 103 151 64 65
-103 145 102 96 151
-104 66 67 105 139
-105 104 94 139 142
-106 79 137 72 127
-107 146 81 73 129
-108 115 83 140 76
-109 77 149 117 85
-110 143 78 79 123
-111 80 81 125 138
-112 90 134 91 119
-113 121 135 92 93
-114 91 70 147 115
-115 114 147 140 108
-116 144 71 93 117
-117 144 116 149 109
-118 74 119 87 131
-119 112 134 118 131
-120 121 89 75 141
-121 113 135 141 120
-122 123 82 83 152
-123 110 143 122 152
-124 125 84 85 153
-125 111 124 138 153
-126 127 150 86 87
-127 126 137 106 150
-128 88 132 89 129
-129 132 146 128 107
-130 99 132 95 131
-131 132 118 119 130
-132 128 129 130 131
-133 101 134 135 97
-134 133 112 135 119
-135 121 133 134 113
-136 99 137 138 98
-137 136 127 138 106
-138 111 125 136 137
-139 104 105 140 141
-140 115 139 108 141
-141 121 139 140 120
-142 143 144 94 105
-143 110 144 123 142
-144 143 116 117 142
-145 146 103 147 96
-146 145 147 107 129
-147 145 146 114 115
-148 100 101 149 150
-149 148 117 150 109
-150 126 148 127 149
-151 102 103 152 153
-152 122 123 151 153
-153 124 125 151 152
0

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