Magma V2.19-8 Tue Aug 20 2013 23:48:38 on localhost [Seed = 71462567] Type ? for help. Type -D to quit. Loading file "L11n96__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L11n96 geometric_solution 11.67995752 oriented_manifold CS_known 0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.543472469968 0.911108039022 0 5 7 6 0132 0132 0132 0132 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.845343439069 0.490879102679 6 0 8 8 3201 0132 2103 0132 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 -1 0 1 0 0 1 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.767803688494 0.719217390548 9 10 10 0 0132 0132 1302 0132 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 -2 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.190891699279 0.980220223396 4 4 0 7 1302 2031 0132 2310 0 0 0 0 0 1 0 -1 0 0 0 0 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 0 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.098200269236 0.885512334334 8 1 9 9 3120 0132 1230 3201 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 1 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.618705770137 0.676244809027 11 11 1 2 0132 1230 0132 2310 0 0 1 0 0 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.618705770137 0.676244809027 4 10 8 1 3201 0213 0213 0132 0 0 0 0 0 0 0 0 -1 0 0 1 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.543472469968 0.911108039022 2 7 2 5 2103 0213 0132 3120 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 -1 0 0 1 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.306282658918 0.649819196375 3 5 11 5 0132 2310 0132 3012 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.263536580473 0.804953806044 3 3 7 11 2031 0132 0213 2031 0 0 1 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -3 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.808585994533 0.982902242001 6 10 6 9 0132 1302 3012 0132 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.263536580473 0.804953806044 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_11'], 'c_1001_10' : d['c_1001_0'], 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : d['c_0011_8'], 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : d['c_1001_5'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0011_11'], 'c_1001_2' : d['c_0011_8'], 'c_1001_9' : negation(d['c_1001_1']), 'c_1001_8' : d['c_1001_0'], 'c_1010_11' : negation(d['c_1001_1']), 'c_1010_10' : d['c_0011_11'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : negation(d['1']), 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0011_7'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : d['1'], 's_0_4' : d['1'], 's_0_5' : negation(d['1']), 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_0011_11' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : negation(d['c_0011_10']), 'c_1100_4' : d['c_0011_7'], 'c_1100_7' : negation(d['c_0011_0']), 'c_1100_6' : negation(d['c_0011_0']), 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0011_7'], 'c_1100_3' : d['c_0011_7'], 'c_1100_2' : negation(d['c_0101_5']), 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_1001_5']), 'c_1100_10' : d['c_1001_1'], 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_1'], 'c_1010_6' : d['c_0101_11'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_0011_4'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_5'], 'c_1010_0' : d['c_0011_8'], 'c_1010_9' : negation(d['c_0101_5']), 'c_1010_8' : negation(d['c_0011_0']), 'c_1100_8' : negation(d['c_0101_5']), 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : negation(d['1']), 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : negation(d['1']), 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : negation(d['1']), 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_10'], 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : negation(d['c_0011_11']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_0'], 'c_0110_10' : d['c_0011_11'], 'c_0110_0' : negation(d['c_0011_4']), 'c_0101_7' : d['c_0011_8'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_4']), 'c_0101_3' : negation(d['c_0011_10']), 'c_0101_2' : negation(d['c_0101_11']), 'c_0101_1' : negation(d['c_0011_4']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_0'], 'c_0101_8' : negation(d['c_0101_11']), 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_10']), 'c_0110_8' : d['c_0101_5'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_1001_5']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_11']), 'c_0110_5' : d['c_0101_5'], 'c_0110_4' : negation(d['c_0011_8']), 'c_0110_7' : negation(d['c_0011_4']), 'c_0110_6' : d['c_0101_11']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_4, c_0011_7, c_0011_8, c_0101_0, c_0101_11, c_0101_5, c_1001_0, c_1001_1, c_1001_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 5131961818/538100191*c_1001_5^5 + 34339098209/1076200382*c_1001_5^4 - 54340387481/1076200382*c_1001_5^3 + 17209691593/538100191*c_1001_5^2 + 19385641843/1076200382*c_1001_5 - 77857559403/1076200382, c_0011_0 - 1, c_0011_10 - 7200/170231*c_1001_5^5 + 6444/170231*c_1001_5^4 - 5473/170231*c_1001_5^3 - 34974/170231*c_1001_5^2 - 54966/170231*c_1001_5 + 50459/170231, c_0011_11 - 7200/170231*c_1001_5^5 + 6444/170231*c_1001_5^4 - 5473/170231*c_1001_5^3 - 34974/170231*c_1001_5^2 - 54966/170231*c_1001_5 + 50459/170231, c_0011_4 + 16040/170231*c_1001_5^5 - 48402/170231*c_1001_5^4 + 28270/170231*c_1001_5^3 + 26845/170231*c_1001_5^2 - 110197/170231*c_1001_5 + 198733/170231, c_0011_7 + 39280/170231*c_1001_5^5 - 103248/170231*c_1001_5^4 + 62013/170231*c_1001_5^3 + 88664/170231*c_1001_5^2 - 335659/170231*c_1001_5 + 6545/170231, c_0011_8 - 32080/170231*c_1001_5^5 + 96804/170231*c_1001_5^4 - 56540/170231*c_1001_5^3 - 53690/170231*c_1001_5^2 + 220394/170231*c_1001_5 - 227235/170231, c_0101_0 + 7200/170231*c_1001_5^5 - 6444/170231*c_1001_5^4 + 5473/170231*c_1001_5^3 + 34974/170231*c_1001_5^2 - 115265/170231*c_1001_5 - 50459/170231, c_0101_11 + 1, c_0101_5 + 1, c_1001_0 + 32080/170231*c_1001_5^5 - 96804/170231*c_1001_5^4 + 56540/170231*c_1001_5^3 + 53690/170231*c_1001_5^2 - 220394/170231*c_1001_5 + 57004/170231, c_1001_1 + 7200/170231*c_1001_5^5 - 6444/170231*c_1001_5^4 + 5473/170231*c_1001_5^3 + 34974/170231*c_1001_5^2 - 115265/170231*c_1001_5 - 50459/170231, c_1001_5^6 - 9/4*c_1001_5^5 + 3/2*c_1001_5^4 + 3*c_1001_5^3 - 27/4*c_1001_5^2 + 7*c_1001_5 + 29/4 ], Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_4, c_0011_7, c_0011_8, c_0101_0, c_0101_11, c_0101_5, c_1001_0, c_1001_1, c_1001_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 164990135051483543/2781482545200128*c_1001_5^7 - 1664030456316304891/5562965090400256*c_1001_5^6 + 4541620185445657045/6357674389028864*c_1001_5^5 - 19807843140986839315/22251860361601024*c_1001_5^4 + 130273485663319391/271364150751232*c_1001_5^3 + 4456512816529461727/44503720723202048*c_1001_5^2 - 894278764303357317/1589418597257216*c_1001_5 + 24857372346642147819/44503720723202048, c_0011_0 - 1, c_0011_10 + 94239680/860402771*c_1001_5^7 - 304573216/860402771*c_1001_5^6 + 507373948/860402771*c_1001_5^5 - 188118956/860402771*c_1001_5^4 - 182803461/860402771*c_1001_5^3 + 394599058/860402771*c_1001_5^2 - 21353680/860402771*c_1001_5 - 442659803/860402771, c_0011_11 - 94239680/860402771*c_1001_5^7 + 304573216/860402771*c_1001_5^6 - 507373948/860402771*c_1001_5^5 + 188118956/860402771*c_1001_5^4 + 182803461/860402771*c_1001_5^3 - 394599058/860402771*c_1001_5^2 + 21353680/860402771*c_1001_5 + 442659803/860402771, c_0011_4 + 65776752/860402771*c_1001_5^7 - 440766392/860402771*c_1001_5^6 + 1048438931/860402771*c_1001_5^5 - 1277565092/860402771*c_1001_5^4 + 177487966/860402771*c_1001_5^3 + 569426102/860402771*c_1001_5^2 - 895249777/860402771*c_1001_5 + 1100042638/860402771, c_0011_7 - 197216208/860402771*c_1001_5^7 + 1084109192/860402771*c_1001_5^6 - 2570820065/860402771*c_1001_5^5 + 3160505086/860402771*c_1001_5^4 - 1804720003/860402771*c_1001_5^3 + 174614383/860402771*c_1001_5^2 + 1439780085/860402771*c_1001_5 - 509100866/860402771, c_0011_8 + 102976528/860402771*c_1001_5^7 - 779535976/860402771*c_1001_5^6 + 2063446117/860402771*c_1001_5^5 - 2972386130/860402771*c_1001_5^4 + 1987523464/860402771*c_1001_5^3 - 569213441/860402771*c_1001_5^2 - 558023634/860402771*c_1001_5 + 1812163440/860402771, c_0101_0 + 94239680/860402771*c_1001_5^7 - 304573216/860402771*c_1001_5^6 + 507373948/860402771*c_1001_5^5 - 188118956/860402771*c_1001_5^4 - 182803461/860402771*c_1001_5^3 + 394599058/860402771*c_1001_5^2 - 881756451/860402771*c_1001_5 - 442659803/860402771, c_0101_11 + 1, c_0101_5 - 1, c_1001_0 - 102976528/860402771*c_1001_5^7 + 779535976/860402771*c_1001_5^6 - 2063446117/860402771*c_1001_5^5 + 2972386130/860402771*c_1001_5^4 - 1987523464/860402771*c_1001_5^3 + 569213441/860402771*c_1001_5^2 + 558023634/860402771*c_1001_5 - 951760669/860402771, c_1001_1 + 94239680/860402771*c_1001_5^7 - 304573216/860402771*c_1001_5^6 + 507373948/860402771*c_1001_5^5 - 188118956/860402771*c_1001_5^4 - 182803461/860402771*c_1001_5^3 + 394599058/860402771*c_1001_5^2 - 881756451/860402771*c_1001_5 - 442659803/860402771, c_1001_5^8 - 9/2*c_1001_5^7 + 149/16*c_1001_5^6 - 17/2*c_1001_5^5 + 97/16*c_1001_5^3 - 69/8*c_1001_5^2 + 69/16*c_1001_5 + 41/8 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.090 Total time: 0.300 seconds, Total memory usage: 32.09MB