Magma V2.19-8 Wed Aug 21 2013 01:03:36 on localhost [Seed = 3751397344] Type ? for help. Type -D to quit. Loading file "L14n20662__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n20662 geometric_solution 11.18847780 oriented_manifold CS_known 0.0000000000000003 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 1 1 1 1 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 -1 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 0 0 0 0.840296504725 0.688524190345 0 4 3 3 0132 2103 2310 1230 1 1 1 1 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 0 0 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 0.617014546742 0.492961230488 5 0 7 6 0132 0132 0132 0132 1 1 1 1 0 0 0 0 0 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 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 0.534375176943 1.089248710931 1 1 8 0 3012 3201 0132 0132 1 1 1 1 0 0 0 0 0 0 0 0 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 -1 0 1 0 0 0 0 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.027948506956 0.474653613947 8 1 0 9 1230 2103 0132 0132 1 1 1 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 0 0 0 0 1 -1 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 1.360553033608 1.872244259541 2 7 8 10 0132 3120 1302 0132 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 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 0.854471267112 0.778256999607 10 8 2 9 3201 0213 0132 0213 1 1 1 1 0 0 0 0 0 0 0 0 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 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 -0.848514766700 1.729760444650 11 5 9 2 0132 3120 0213 0132 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 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 -0.245578466151 0.568355948495 5 4 6 3 2031 3012 0213 0132 1 1 1 1 0 0 0 0 0 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 0 0 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 0.804677267209 1.286959029598 10 7 4 6 0132 0213 0132 0213 1 1 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 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 0.425999853748 1.328592650638 9 12 5 6 0132 0132 0132 2310 1 1 1 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 0 0 0 0 1 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 -0.293806990184 0.505362810553 7 12 12 12 0132 1302 1023 1230 0 1 1 1 0 2 -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 0 1 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 0.317374960057 0.661399130539 11 10 11 11 3012 0132 1023 2031 1 0 1 1 0 0 0 0 1 0 1 -2 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 -1 0 0 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 0.410276282054 1.228965115072 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_12'], 'c_1001_10' : d['c_0011_11'], 'c_1001_12' : d['c_0101_10'], 'c_1001_5' : d['c_0101_3'], 'c_1001_4' : negation(d['c_0011_0']), 'c_1001_7' : negation(d['c_0101_3']), 'c_1001_6' : negation(d['c_0011_4']), 'c_1001_1' : d['c_0011_4'], 'c_1001_0' : negation(d['c_0011_4']), 'c_1001_3' : negation(d['c_0101_1']), 'c_1001_2' : negation(d['c_0011_0']), 'c_1001_9' : negation(d['c_0101_3']), 'c_1001_8' : negation(d['c_0011_4']), 'c_1010_12' : d['c_0011_11'], 'c_1010_11' : d['c_0101_12'], 'c_1010_10' : d['c_0101_10'], 's_3_11' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_10'], 'c_0101_10' : d['c_0101_10'], '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_12' : 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' : d['1'], 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_0011_11' : d['c_0011_11'], 'c_1100_8' : d['c_1010_6'], 'c_0011_12' : negation(d['c_0011_10']), 'c_1100_5' : d['c_0011_6'], 'c_1100_4' : d['c_1010_6'], 'c_1100_7' : d['c_1010_9'], 'c_1100_6' : d['c_1010_9'], 'c_1100_1' : d['c_0011_3'], 'c_1100_0' : d['c_1010_6'], 'c_1100_3' : d['c_1010_6'], 'c_1100_2' : d['c_1010_9'], 's_0_10' : d['1'], 'c_1100_9' : d['c_1010_6'], 'c_1100_11' : d['c_0101_12'], 'c_1100_10' : d['c_0011_6'], 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0011_0']), 'c_1010_6' : d['c_1010_6'], 'c_1010_5' : d['c_0011_11'], 'c_1010_4' : negation(d['c_0101_3']), 'c_1010_3' : negation(d['c_0011_4']), 'c_1010_2' : negation(d['c_0011_4']), 'c_1010_1' : d['c_0101_3'], 'c_1010_0' : negation(d['c_0011_0']), 'c_1010_9' : d['c_1010_9'], 'c_1010_8' : negation(d['c_0101_1']), 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : 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' : d['1'], 'c_1100_12' : negation(d['c_0101_12']), 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : d['1'], 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(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' : negation(d['c_0011_11']), 'c_0011_6' : d['c_0011_6'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0011_10']), 'c_0110_10' : d['c_0011_8'], 'c_0110_12' : d['c_0101_12'], 'c_0101_12' : d['c_0101_12'], 'c_0101_7' : negation(d['c_0011_10']), 'c_0101_6' : negation(d['c_0011_8']), 'c_0101_5' : negation(d['c_0011_8']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_10'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_3'], 'c_0101_9' : d['c_0011_8'], 'c_0101_8' : d['c_0011_6'], 'c_0011_10' : d['c_0011_10'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_10'], 'c_0110_8' : d['c_0101_3'], 'c_0110_1' : d['c_0011_3'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_3'], 'c_0110_2' : negation(d['c_0011_8']), 'c_0110_5' : d['c_0101_10'], 'c_0110_4' : d['c_0011_8'], 'c_0110_7' : d['c_0101_10'], 'c_0110_6' : negation(d['c_0101_10'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_3, c_0011_4, c_0011_6, c_0011_8, c_0101_1, c_0101_10, c_0101_12, c_0101_3, c_1010_6, c_1010_9 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 2 Groebner basis: [ t - 1/36, c_0011_0 - 1, c_0011_10 + c_1010_9, c_0011_11 - 2, c_0011_3 + c_1010_9, c_0011_4 - c_1010_9 - 2, c_0011_6 - c_1010_9 - 2, c_0011_8 + 1, c_0101_1 + 1, c_0101_10 - c_1010_9 - 2, c_0101_12 - 1, c_0101_3 + 2*c_1010_9 + 3, c_1010_6 + 2, c_1010_9^2 + 3*c_1010_9 + 3 ], Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_3, c_0011_4, c_0011_6, c_0011_8, c_0101_1, c_0101_10, c_0101_12, c_0101_3, c_1010_6, c_1010_9 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 260456390281445918443/33404190947517005334*c_1010_9^9 + 108220792786619410345/16702095473758502667*c_1010_9^8 + 2350808973613911927325/33404190947517005334*c_1010_9^7 + 1099967070701726109932/16702095473758502667*c_1010_9^6 + 4714309597939096564045/33404190947517005334*c_1010_9^5 + 120889915809662575817/710727466968446922*c_1010_9^4 - 3010096205586686407759/33404190947517005334*c_1010_9^3 - 3010908769889861102587/33404190947517005334*c_1010_9^2 - 121099200709607698619/33404190947517005334*c_1010_9 + 668647651589351222543/33404190947517005334, c_0011_0 - 1, c_0011_10 - 4061/2857*c_1010_9^9 - 3108/2857*c_1010_9^8 - 36105/2857*c_1010_9^7 - 31044/2857*c_1010_9^6 - 67574/2857*c_1010_9^5 - 76442/2857*c_1010_9^4 + 63811/2857*c_1010_9^3 + 57964/2857*c_1010_9^2 + 1987/2857*c_1010_9 - 18129/2857, c_0011_11 - 8636/2857*c_1010_9^9 - 6214/2857*c_1010_9^8 - 76020/2857*c_1010_9^7 - 62774/2857*c_1010_9^6 - 137182/2857*c_1010_9^5 - 156236/2857*c_1010_9^4 + 148376/2857*c_1010_9^3 + 125164/2857*c_1010_9^2 - 6582/2857*c_1010_9 - 34520/2857, c_0011_3 - 1690/2857*c_1010_9^9 - 4429/2857*c_1010_9^8 - 19475/2857*c_1010_9^7 - 43632/2857*c_1010_9^6 - 72621/2857*c_1010_9^5 - 113762/2857*c_1010_9^4 - 87741/2857*c_1010_9^3 - 5573/2857*c_1010_9^2 + 28858/2857*c_1010_9 + 13863/2857, c_0011_4 - 6993/2857*c_1010_9^9 - 7421/2857*c_1010_9^8 - 65142/2857*c_1010_9^7 - 74466/2857*c_1010_9^6 - 146744/2857*c_1010_9^5 - 190344/2857*c_1010_9^4 + 28431/2857*c_1010_9^3 + 76676/2857*c_1010_9^2 + 15710/2857*c_1010_9 - 14885/2857, c_0011_6 - 4365/2857*c_1010_9^9 - 172/2857*c_1010_9^8 - 35179/2857*c_1010_9^7 - 3858/2857*c_1010_9^6 - 36494/2857*c_1010_9^5 - 14570/2857*c_1010_9^4 + 160773/2857*c_1010_9^3 + 57090/2857*c_1010_9^2 - 26423/2857*c_1010_9 - 20903/2857, c_0011_8 + 2126/2857*c_1010_9^9 + 970/2857*c_1010_9^8 + 17771/2857*c_1010_9^7 + 10130/2857*c_1010_9^6 + 24888/2857*c_1010_9^5 + 25626/2857*c_1010_9^4 - 56661/2857*c_1010_9^3 - 31743/2857*c_1010_9^2 + 11512/2857*c_1010_9 + 8686/2857, c_0101_1 + 202/2857*c_1010_9^9 + 455/2857*c_1010_9^8 + 1753/2857*c_1010_9^7 + 3927/2857*c_1010_9^6 + 2956/2857*c_1010_9^5 + 5953/2857*c_1010_9^4 - 3943/2857*c_1010_9^3 - 15847/2857*c_1010_9^2 - 4467/2857*c_1010_9 + 1129/2857, c_0101_10 - 4575/2857*c_1010_9^9 - 3106/2857*c_1010_9^8 - 39915/2857*c_1010_9^7 - 31730/2857*c_1010_9^6 - 69608/2857*c_1010_9^5 - 79794/2857*c_1010_9^4 + 84565/2857*c_1010_9^3 + 67200/2857*c_1010_9^2 - 8569/2857*c_1010_9 - 16391/2857, c_0101_12 - 1, c_0101_3 + 13776/2857*c_1010_9^9 + 11908/2857*c_1010_9^8 + 125548/2857*c_1010_9^7 + 121060/2857*c_1010_9^6 + 260374/2857*c_1010_9^5 + 315464/2857*c_1010_9^4 - 133070/2857*c_1010_9^3 - 143242/2857*c_1010_9^2 - 7852/2857*c_1010_9 + 31425/2857, c_1010_6 + 3282/2857*c_1010_9^9 + 3489/2857*c_1010_9^8 + 30264/2857*c_1010_9^7 + 34640/2857*c_1010_9^6 + 65792/2857*c_1010_9^5 + 86425/2857*c_1010_9^4 - 21407/2857*c_1010_9^3 - 44133/2857*c_1010_9^2 - 10148/2857*c_1010_9 + 3521/2857, c_1010_9^10 + 2*c_1010_9^9 + 10*c_1010_9^8 + 19*c_1010_9^7 + 28*c_1010_9^6 + 43*c_1010_9^5 + 14*c_1010_9^4 - 25*c_1010_9^3 - 14*c_1010_9^2 + 2*c_1010_9 + 3 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.470 Total time: 0.680 seconds, Total memory usage: 32.09MB