C4[ 120, 53 ] Graph Forms

Graph forms for C4 [ 120, 53 ] = SDD(C_30(1,11))

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On this page are computer-accessible forms for the graph C4[ 120, 53 ] = SDD(C_30(1,11)).

(I) Following is a form readable by MAGMA:

g:=Graph;

(II) A more general form is to represent the graph as the orbit of {60, 61} under the group generated by the following permutations:

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

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

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