Magma V2.19-8 Wed Aug 21 2013 00:53:24 on localhost [Seed = 1410482620] Type ? for help. Type -D to quit. Loading file "L12n154__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n154 geometric_solution 12.37001876 oriented_manifold CS_known -0.0000000000000004 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 1 0132 0132 0132 2031 0 1 1 0 0 1 0 -1 0 0 0 0 -1 0 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 1 -1 1 1 0 -2 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.025073715200 0.846860240592 0 0 5 4 0132 1302 0132 0132 1 1 0 1 0 0 0 0 0 0 0 0 -1 1 0 0 1 -1 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 -1 0 0 -1 2 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.965068707543 1.179798147122 6 0 8 7 0132 0132 0132 0132 0 1 0 1 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 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 0.574365234783 1.097374398886 7 9 10 0 0132 0132 0132 0132 0 1 0 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 -1 0 1 1 0 0 -1 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.361977519056 1.126901864739 6 10 1 7 2103 1230 0132 2103 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 0 0.307229782131 0.792101879447 11 11 10 1 0132 1230 2103 0132 1 1 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 -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 0.965068707543 1.179798147122 2 8 4 12 0132 3120 2103 0132 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 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 0.658643540373 0.612554430254 3 11 2 4 0132 2310 0132 2103 0 1 1 0 0 1 -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 -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 0.741617291101 0.804392375618 9 6 12 2 3120 3120 0132 0132 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 0 0 0 0 0 0 0 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 0.047456861647 0.462054098094 12 3 11 8 0132 0132 2310 3120 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 0 0 0 0 1 0 -1 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 0.625607520547 0.715309174731 5 12 4 3 2103 0132 3012 0132 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 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 0.625607520547 0.715309174731 5 9 5 7 0132 3201 3012 3201 0 1 0 1 0 0 -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 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 0.584609613745 0.507815458325 9 10 6 8 0132 0132 0132 0132 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 0 0 0 0 0 0 0 0 -1 0 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.694170674732 1.245669475903 ==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' : negation(d['c_0011_4']), 'c_1001_12' : negation(d['c_0011_8']), 'c_1001_5' : d['c_0011_10'], 'c_1001_4' : d['c_1001_4'], 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : d['c_0011_4'], 'c_1001_1' : d['c_0101_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0011_8']), 'c_1001_2' : negation(d['c_0011_0']), 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : negation(d['c_0011_4']), 'c_1010_12' : negation(d['c_0011_4']), 'c_1010_11' : negation(d['c_1001_0']), 'c_1010_10' : negation(d['c_0011_8']), 's_0_10' : 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_1'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : negation(d['1']), 's_2_3' : d['1'], 's_2_4' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : negation(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' : negation(d['1']), 's_0_5' : 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_1100_9' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : negation(d['c_0011_10']), 'c_1100_5' : negation(d['c_0101_3']), 'c_1100_4' : negation(d['c_0101_3']), 'c_1100_7' : negation(d['c_0110_4']), 'c_1100_6' : negation(d['c_0110_4']), 'c_1100_1' : negation(d['c_0101_3']), 'c_1100_0' : negation(d['c_1001_4']), 'c_1100_3' : negation(d['c_1001_4']), 'c_1100_2' : negation(d['c_0110_4']), 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0011_10']), 'c_1100_10' : negation(d['c_1001_4']), 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0101_10']), 'c_1010_6' : negation(d['c_0011_8']), 'c_1010_5' : d['c_0101_1'], 'c_1010_4' : d['c_0101_10'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_4'], 'c_1010_0' : negation(d['c_0011_0']), 'c_1010_9' : negation(d['c_0011_8']), 'c_1010_8' : negation(d['c_0011_0']), 'c_1100_8' : negation(d['c_0110_4']), 's_3_1' : negation(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' : negation(d['1']), 'c_1100_12' : negation(d['c_0110_4']), 's_1_7' : d['1'], 's_1_6' : negation(d['1']), 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : negation(d['1']), 'c_0011_9' : d['c_0011_10'], 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : negation(d['c_0011_11']), 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_10'], 'c_0011_6' : d['c_0011_0'], '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_10'], 'c_0110_10' : d['c_0101_3'], 'c_0110_12' : negation(d['c_0011_11']), 'c_0101_12' : d['c_0101_12'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_0'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_10'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_12'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_11']), 'c_0101_8' : negation(d['c_0011_11']), 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_12'], 'c_0110_8' : d['c_0101_12'], 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : d['c_0011_11'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0110_4'], 'c_0110_7' : d['c_0101_3'], 'c_0110_6' : d['c_0101_12']})} 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_4, c_0011_8, c_0101_0, c_0101_1, c_0101_10, c_0101_12, c_0101_3, c_0110_4, c_1001_0, c_1001_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t - 324/7*c_1001_4^6 - 86*c_1001_4^5 + 1692/7*c_1001_4^4 + 2803/7*c_1001_4^3 - 132*c_1001_4^2 - 310/7*c_1001_4 - 158/7, c_0011_0 - 1, c_0011_10 + 56*c_1001_4^6 + 116*c_1001_4^5 - 270*c_1001_4^4 - 547*c_1001_4^3 + 53*c_1001_4^2 + 90*c_1001_4 + 50, c_0011_11 + 1, c_0011_4 + 18*c_1001_4^6 + 37*c_1001_4^5 - 87*c_1001_4^4 - 175*c_1001_4^3 + 18*c_1001_4^2 + 30*c_1001_4 + 16, c_0011_8 + 38*c_1001_4^6 + 79*c_1001_4^5 - 183*c_1001_4^4 - 372*c_1001_4^3 + 35*c_1001_4^2 + 59*c_1001_4 + 34, c_0101_0 + 56*c_1001_4^6 + 116*c_1001_4^5 - 270*c_1001_4^4 - 547*c_1001_4^3 + 53*c_1001_4^2 + 90*c_1001_4 + 50, c_0101_1 - 1, c_0101_10 + c_1001_4, c_0101_12 - 96*c_1001_4^6 - 198*c_1001_4^5 + 465*c_1001_4^4 + 933*c_1001_4^3 - 101*c_1001_4^2 - 150*c_1001_4 - 84, c_0101_3 + 56*c_1001_4^6 + 116*c_1001_4^5 - 270*c_1001_4^4 - 547*c_1001_4^3 + 53*c_1001_4^2 + 89*c_1001_4 + 50, c_0110_4 - 38*c_1001_4^6 - 79*c_1001_4^5 + 183*c_1001_4^4 + 372*c_1001_4^3 - 35*c_1001_4^2 - 59*c_1001_4 - 34, c_1001_0 - 56*c_1001_4^6 - 116*c_1001_4^5 + 270*c_1001_4^4 + 547*c_1001_4^3 - 53*c_1001_4^2 - 89*c_1001_4 - 50, c_1001_4^7 + 3/2*c_1001_4^6 - 6*c_1001_4^5 - 7*c_1001_4^4 + 13/2*c_1001_4^3 + c_1001_4^2 - 1/2 ], 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_4, c_0011_8, c_0101_0, c_0101_1, c_0101_10, c_0101_12, c_0101_3, c_0110_4, c_1001_0, c_1001_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t - 32208942065843/14257114000*c_1001_4^8 - 13125963900069/7128557000*c_1001_4^7 + 100506948146353/11405691200*c_1001_4^6 + 130666565951249/28514228000*c_1001_4^5 - 82936018945539/2851422800*c_1001_4^4 - 240738381690031/57028456000*c_1001_4^3 + 714649980365367/28514228000*c_1001_4^2 + 350941960141/28514228*c_1001_4 - 870558246856389/57028456000, c_0011_0 - 1, c_0011_10 + 2268876/7128557*c_1001_4^8 + 3856360/7128557*c_1001_4^7 - 4737909/7128557*c_1001_4^6 - 8580638/7128557*c_1001_4^5 + 18530792/7128557*c_1001_4^4 + 19434800/7128557*c_1001_4^3 + 2031305/7128557*c_1001_4^2 - 15305690/7128557*c_1001_4 - 4380763/7128557, c_0011_11 - 1, c_0011_4 + 2182892/7128557*c_1001_4^8 + 3611836/7128557*c_1001_4^7 - 5464577/7128557*c_1001_4^6 - 10051473/7128557*c_1001_4^5 + 19674915/7128557*c_1001_4^4 + 25904890/7128557*c_1001_4^3 - 5520670/7128557*c_1001_4^2 - 26221242/7128557*c_1001_4 - 1984355/7128557, c_0011_8 + 2719412/7128557*c_1001_4^8 + 4270084/7128557*c_1001_4^7 - 7406263/7128557*c_1001_4^6 - 12121779/7128557*c_1001_4^5 + 25932741/7128557*c_1001_4^4 + 26705967/7128557*c_1001_4^3 - 11255425/7128557*c_1001_4^2 - 28974503/7128557*c_1001_4 - 839097/7128557, c_0101_0 - 2268876/7128557*c_1001_4^8 - 3856360/7128557*c_1001_4^7 + 4737909/7128557*c_1001_4^6 + 8580638/7128557*c_1001_4^5 - 18530792/7128557*c_1001_4^4 - 19434800/7128557*c_1001_4^3 - 2031305/7128557*c_1001_4^2 + 15305690/7128557*c_1001_4 + 4380763/7128557, c_0101_1 - 1, c_0101_10 - c_1001_4, c_0101_12 - 1587484/7128557*c_1001_4^8 - 3770376/7128557*c_1001_4^7 + 2341229/7128557*c_1001_4^6 + 9830158/7128557*c_1001_4^5 - 9792077/7128557*c_1001_4^4 - 26421722/7128557*c_1001_4^3 - 8839437/7128557*c_1001_4^2 + 17426800/7128557*c_1001_4 + 17093209/7128557, c_0101_3 - 2268876/7128557*c_1001_4^8 - 3856360/7128557*c_1001_4^7 + 4737909/7128557*c_1001_4^6 + 8580638/7128557*c_1001_4^5 - 18530792/7128557*c_1001_4^4 - 19434800/7128557*c_1001_4^3 - 2031305/7128557*c_1001_4^2 + 8177133/7128557*c_1001_4 + 4380763/7128557, c_0110_4 + 2719412/7128557*c_1001_4^8 + 4270084/7128557*c_1001_4^7 - 7406263/7128557*c_1001_4^6 - 12121779/7128557*c_1001_4^5 + 25932741/7128557*c_1001_4^4 + 26705967/7128557*c_1001_4^3 - 11255425/7128557*c_1001_4^2 - 28974503/7128557*c_1001_4 - 839097/7128557, c_1001_0 + 2268876/7128557*c_1001_4^8 + 3856360/7128557*c_1001_4^7 - 4737909/7128557*c_1001_4^6 - 8580638/7128557*c_1001_4^5 + 18530792/7128557*c_1001_4^4 + 19434800/7128557*c_1001_4^3 + 2031305/7128557*c_1001_4^2 - 8177133/7128557*c_1001_4 - 4380763/7128557, c_1001_4^9 + c_1001_4^8 - 15/4*c_1001_4^7 - 11/4*c_1001_4^6 + 25/2*c_1001_4^5 + 17/4*c_1001_4^4 - 43/4*c_1001_4^3 - 15/2*c_1001_4^2 + 23/4*c_1001_4 + 5/4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.090 Total time: 0.300 seconds, Total memory usage: 32.09MB