Magma V2.19-8 Tue Aug 20 2013 23:45:33 on localhost [Seed = 3398217482] Type ? for help. Type -D to quit. Loading file "K13n3979__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K13n3979 geometric_solution 11.82501779 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 0 0 0 0 0 1 -1 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 -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 0.360594985436 0.772292661229 0 5 6 4 0132 0132 0132 2031 0 0 0 0 0 -1 1 0 0 0 0 0 0 1 0 -1 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 1 -1 0 -1 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.536904546845 0.918087826733 6 0 3 5 0132 0132 1302 0132 0 0 0 0 0 -1 0 1 0 0 0 0 -1 1 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 -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 0.536904546845 0.918087826733 2 4 7 0 2031 2031 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.474036874042 0.680821155213 3 1 0 8 1302 1302 0132 0132 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 1 -1 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 0.474036874042 0.680821155213 9 1 2 10 0132 0132 0132 0132 0 0 0 0 0 1 -1 0 -1 0 0 1 0 1 0 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 1 0 -1 0 0 -1 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.567112182162 0.837809206365 2 9 10 1 0132 0132 3201 0132 0 0 0 0 0 0 1 -1 0 0 0 0 -1 1 0 0 1 0 -1 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 0 0 0 0.567112182162 0.837809206365 8 11 10 3 1023 0132 0213 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.703336156660 1.343984101324 11 7 4 10 2310 1023 0132 0213 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.703336156660 1.343984101324 5 6 11 11 0132 0132 0132 2310 0 0 0 0 0 0 0 0 1 0 -1 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 0 0 0 -1 0 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 0.446527257512 0.909684826532 6 7 5 8 2310 0213 0132 0213 0 0 0 0 0 0 0 0 1 0 -1 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 0.324587007195 1.168601327911 9 7 8 9 3201 0132 3201 0132 0 0 0 0 0 0 0 0 -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 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 0.049143962374 0.653031786146 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0101_8']), 'c_1001_10' : d['c_1001_1'], 'c_1001_5' : d['c_0011_4'], 'c_1001_4' : d['c_0101_0'], 'c_1001_7' : d['c_1001_1'], 'c_1001_6' : negation(d['c_0101_10']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0011_4'], 'c_1001_3' : negation(d['c_0101_8']), 'c_1001_2' : d['c_0101_0'], 'c_1001_9' : d['c_1001_1'], 'c_1001_8' : d['c_0011_10'], 'c_1010_11' : d['c_1001_1'], 'c_1010_10' : d['c_1010_10'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], '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_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_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_0101_3'], 'c_1100_4' : d['c_1010_10'], 'c_1100_7' : d['c_1010_10'], 'c_1100_6' : negation(d['c_0011_10']), 'c_1100_1' : negation(d['c_0011_10']), 'c_1100_0' : d['c_1010_10'], 'c_1100_3' : d['c_1010_10'], 'c_1100_2' : d['c_0101_3'], 's_3_11' : d['1'], 'c_1100_9' : d['c_0011_11'], 'c_1100_11' : d['c_0011_11'], 'c_1100_10' : d['c_0101_3'], 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0101_8']), 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_0011_10'], 'c_1010_3' : d['c_0011_4'], 'c_1010_2' : d['c_0011_4'], 'c_1010_1' : d['c_0011_4'], 'c_1010_0' : d['c_0101_0'], 'c_1010_9' : negation(d['c_0101_10']), 'c_1010_8' : d['c_0101_3'], 'c_1100_8' : d['c_1010_10'], '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'], '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_0']), 'c_0011_8' : negation(d['c_0011_11']), '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_0'], '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' : d['c_0101_10'], 'c_0110_10' : d['c_0101_11'], 'c_0101_7' : d['c_0011_10'], 'c_0101_6' : negation(d['c_0101_11']), 'c_0101_5' : negation(d['c_0101_11']), 'c_0101_4' : negation(d['c_0011_3']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0011_3']), 'c_0101_1' : negation(d['c_0011_3']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_10'], 'c_0101_8' : d['c_0101_8'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0101_11']), 'c_0110_8' : negation(d['c_0101_11']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_3']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_11']), 'c_0110_5' : d['c_0101_10'], 'c_0110_4' : d['c_0101_8'], 'c_0110_7' : d['c_0101_3'], 'c_0110_6' : negation(d['c_0011_3'])})} 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_3, c_0011_4, c_0101_0, c_0101_10, c_0101_11, c_0101_3, c_0101_8, c_1001_1, c_1010_10 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t - 70493603020867/30584280710912*c_1001_1*c_1010_10^7 - 837094353864141/30584280710912*c_1001_1*c_1010_10^6 - 1756015142175263/15292140355456*c_1001_1*c_1010_10^5 - 2021563098489161/7646070177728*c_1001_1*c_1010_10^4 - 10650733676031921/30584280710912*c_1001_1*c_1010_10^3 - 7487790771542997/30584280710912*c_1001_1*c_1010_10^2 - 4243982421978583/30584280710912*c_1001_1*c_1010_10 - 2461086303898685/30584280710912*c_1001_1 + 41579886814515/30584280710912*c_1010_10^7 + 396464985121373/30584280710912*c_1010_10^6 + 520756942238287/15292140355456*c_1010_10^5 + 311975330561913/7646070177728*c_1010_10^4 - 370866077395839/30584280710912*c_1010_10^3 - 1954361165281947/30584280710912*c_1010_10^2 - 432681260621561/30584280710912*c_1010_10 - 2059023505978035/30584280710912, c_0011_0 - 1, c_0011_10 - 162965/6940288*c_1001_1*c_1010_10^7 - 1245403/6940288*c_1001_1*c_1010_10^6 - 592281/3470144*c_1001_1*c_1010_10^5 + 718113/1735072*c_1001_1*c_1010_10^4 + 13796073/6940288*c_1001_1*c_1010_10^3 + 14928237/6940288*c_1001_1*c_1010_10^2 + 7832415/6940288*c_1001_1*c_1010_10 + 22429333/6940288*c_1001_1 + 531423/6940288*c_1010_10^7 + 5395569/6940288*c_1010_10^6 + 8385515/3470144*c_1010_10^5 + 7081053/1735072*c_1010_10^4 + 23913893/6940288*c_1010_10^3 + 15126937/6940288*c_1010_10^2 + 34083331/6940288*c_1010_10 - 3847903/6940288, c_0011_11 + 296609/6940288*c_1010_10^7 + 3005455/6940288*c_1010_10^6 + 4641813/3470144*c_1010_10^5 + 3935203/1735072*c_1010_10^4 + 14301019/6940288*c_1010_10^3 + 8880103/6940288*c_1010_10^2 + 20958589/6940288*c_1010_10 - 3465761/6940288, c_0011_3 - 283087/6940288*c_1001_1*c_1010_10^7 - 3163265/6940288*c_1001_1*c_1010_10^6 - 5995355/3470144*c_1001_1*c_1010_10^5 - 6322701/1735072*c_1001_1*c_1010_10^4 - 30772725/6940288*c_1001_1*c_1010_10^3 - 25602217/6940288*c_1001_1*c_1010_10^2 - 24495283/6940288*c_1001_1*c_1010_10 - 13147569/6940288*c_1001_1 - 69129/6940288*c_1010_10^7 - 458919/6940288*c_1010_10^6 + 143459/3470144*c_1010_10^5 + 1003685/1735072*c_1010_10^4 + 9818669/6940288*c_1010_10^3 + 9002689/6940288*c_1010_10^2 + 3807547/6940288*c_1010_10 + 18017289/6940288, c_0011_4 + 283087/6940288*c_1001_1*c_1010_10^7 + 3163265/6940288*c_1001_1*c_1010_10^6 + 5995355/3470144*c_1001_1*c_1010_10^5 + 6322701/1735072*c_1001_1*c_1010_10^4 + 30772725/6940288*c_1001_1*c_1010_10^3 + 25602217/6940288*c_1001_1*c_1010_10^2 + 24495283/6940288*c_1001_1*c_1010_10 + 13147569/6940288*c_1001_1 + 244581/6940288*c_1010_10^7 + 2267915/6940288*c_1010_10^6 + 2906409/3470144*c_1010_10^5 + 2155695/1735072*c_1010_10^4 + 4361479/6940288*c_1010_10^3 + 5287107/6940288*c_1010_10^2 + 11504817/6940288*c_1010_10 - 6027877/6940288, c_0101_0 - 244581/6940288*c_1001_1*c_1010_10^7 - 2267915/6940288*c_1001_1*c_1010_10^6 - 2906409/3470144*c_1001_1*c_1010_10^5 - 2155695/1735072*c_1001_1*c_1010_10^4 - 4361479/6940288*c_1001_1*c_1010_10^3 - 5287107/6940288*c_1001_1*c_1010_10^2 - 18445105/6940288*c_1001_1*c_1010_10 - 912411/6940288*c_1001_1 - 162965/6940288*c_1010_10^7 - 1245403/6940288*c_1010_10^6 - 592281/3470144*c_1010_10^5 + 718113/1735072*c_1010_10^4 + 13796073/6940288*c_1010_10^3 + 14928237/6940288*c_1010_10^2 + 7832415/6940288*c_1010_10 + 22429333/6940288, c_0101_10 - 244581/6940288*c_1010_10^7 - 2267915/6940288*c_1010_10^6 - 2906409/3470144*c_1010_10^5 - 2155695/1735072*c_1010_10^4 - 4361479/6940288*c_1010_10^3 - 5287107/6940288*c_1010_10^2 - 11504817/6940288*c_1010_10 + 6027877/6940288, c_0101_11 + c_1001_1 + 281727/3470144*c_1010_10^7 + 2820369/3470144*c_1010_10^6 + 4347915/1735072*c_1010_10^5 + 3888877/867536*c_1010_10^4 + 14158917/3470144*c_1010_10^3 + 10513337/3470144*c_1010_10^2 + 15583075/3470144*c_1010_10 + 55617/3470144, c_0101_3 - 162965/6940288*c_1001_1*c_1010_10^7 - 1245403/6940288*c_1001_1*c_1010_10^6 - 592281/3470144*c_1001_1*c_1010_10^5 + 718113/1735072*c_1001_1*c_1010_10^4 + 13796073/6940288*c_1001_1*c_1010_10^3 + 14928237/6940288*c_1001_1*c_1010_10^2 + 7832415/6940288*c_1001_1*c_1010_10 + 22429333/6940288*c_1001_1 + 296609/6940288*c_1010_10^7 + 3005455/6940288*c_1010_10^6 + 4641813/3470144*c_1010_10^5 + 3935203/1735072*c_1010_10^4 + 14301019/6940288*c_1010_10^3 + 8880103/6940288*c_1010_10^2 + 20958589/6940288*c_1010_10 - 3465761/6940288, c_0101_8 - 44027/867536*c_1010_10^7 - 452773/867536*c_1010_10^6 - 731487/433768*c_1010_10^5 - 664877/216884*c_1010_10^4 - 2619257/867536*c_1010_10^3 - 2074941/867536*c_1010_10^2 - 2585967/867536*c_1010_10 - 258821/867536, c_1001_1^2 + 281727/3470144*c_1001_1*c_1010_10^7 + 2820369/3470144*c_1001_1*c_1010_10^6 + 4347915/1735072*c_1001_1*c_1010_10^5 + 3888877/867536*c_1001_1*c_1010_10^4 + 14158917/3470144*c_1001_1*c_1010_10^3 + 10513337/3470144*c_1001_1*c_1010_10^2 + 15583075/3470144*c_1001_1*c_1010_10 + 55617/3470144*c_1001_1 + 6105/3470144*c_1010_10^7 - 81001/3470144*c_1010_10^6 - 552851/1735072*c_1010_10^5 - 693877/867536*c_1010_10^4 - 4532733/3470144*c_1010_10^3 - 2371025/3470144*c_1010_10^2 - 3740139/3470144*c_1010_10 - 4292825/3470144, c_1010_10^8 + 10*c_1010_10^7 + 31*c_1010_10^6 + 58*c_1010_10^5 + 63*c_1010_10^4 + 64*c_1010_10^3 + 90*c_1010_10^2 + 14*c_1010_10 + 37 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 2.090 Total time: 2.299 seconds, Total memory usage: 32.09MB