Magma V2.19-8 Tue Aug 20 2013 23:41:15 on localhost [Seed = 2581593363] Type ? for help. Type -D to quit. Loading file "L12n1081__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n1081 geometric_solution 10.03484886 oriented_manifold CS_known 0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 11 1 2 3 4 0132 0132 0132 0132 1 0 1 0 0 0 0 0 0 0 -1 1 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 1 0 -1 1 0 0 -1 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.223660976256 0.681102449340 0 5 7 6 0132 0132 0132 0132 1 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 -1 0 0 1 0 0 0 0 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.584302773780 0.927419786133 3 0 5 8 0213 0132 0321 0132 1 0 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 0 0 0 0 -1 0 1 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 0.564798224401 1.325295991632 2 4 5 0 0213 2310 1302 0132 1 0 0 1 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 -1 0 0 1 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.101404314001 1.244628289912 8 5 0 3 1302 1302 0132 3201 1 0 1 1 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 1 -1 0 0 1 -1 0 0 0 0 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.423637522674 0.724552043332 3 1 2 4 2031 0132 0321 2031 1 1 1 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 0 0 1 3 0 -4 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.398621787346 1.028543954377 9 8 1 10 0132 0321 0132 0132 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 0 1 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 0.647829279072 0.329982827150 9 10 10 1 2103 0132 2103 0132 1 0 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 3 0 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.658358018218 0.699194147320 9 4 2 6 3201 2031 0132 0321 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 0 0 0 0 0 0 -1 1 -1 0 1 0 -3 4 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.402451873591 0.897869427537 6 10 7 8 0132 2310 2103 2310 1 0 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 0 0 0 0 0 -3 3 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 0.622445912664 0.532596274415 7 7 6 9 2103 0132 0132 3201 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 0 0 0 0 0 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 0 0 0 0 0 1.865845783992 0.978537129257 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : d['c_0011_4'], 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : d['c_0110_5'], 'c_1001_7' : d['c_0011_10'], 'c_1001_6' : d['c_1001_5'], 'c_1001_1' : d['c_0011_4'], 'c_1001_0' : negation(d['c_0110_4']), 'c_1001_3' : d['c_0110_5'], 'c_1001_2' : d['c_0110_5'], 'c_1001_9' : negation(d['c_0011_10']), 'c_1001_8' : negation(d['c_0110_4']), 'c_1010_10' : d['c_0011_10'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : negation(d['1']), 'c_0101_10' : d['c_0101_10'], 's_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : 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_10' : d['1'], 's_0_8' : d['1'], 's_0_9' : negation(d['1']), 's_0_6' : negation(d['1']), 's_0_7' : negation(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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : d['c_0011_8'], 'c_1100_8' : d['c_1001_5'], 'c_1100_5' : d['c_0110_5'], 'c_1100_4' : negation(d['c_0011_3']), 'c_1100_7' : d['c_0011_6'], 'c_1100_6' : d['c_0011_6'], 'c_1100_1' : d['c_0011_6'], 'c_1100_0' : negation(d['c_0011_3']), 'c_1100_3' : negation(d['c_0011_3']), 'c_1100_2' : d['c_1001_5'], 'c_1100_10' : d['c_0011_6'], 'c_1010_7' : d['c_0011_4'], 'c_1010_6' : d['c_0011_4'], 'c_1010_5' : d['c_0011_4'], 'c_1010_4' : negation(d['c_0110_5']), 'c_1010_3' : negation(d['c_0110_4']), 'c_1010_2' : negation(d['c_0110_4']), 'c_1010_1' : d['c_1001_5'], 'c_1010_0' : d['c_0110_5'], 'c_1010_9' : d['c_0011_6'], 'c_1010_8' : d['c_0011_4'], 's_3_1' : negation(d['1']), 's_3_0' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : negation(d['1']), 's_3_4' : d['1'], 's_3_7' : negation(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' : negation(d['1']), 's_1_4' : negation(d['1']), 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : negation(d['1']), 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_6']), '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_10']), 'c_0110_6' : d['c_0101_10'], '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_10' : negation(d['c_0011_6']), 'c_0011_6' : d['c_0011_6'], 'c_0101_7' : d['c_0101_10'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0011_3']), 'c_0101_4' : negation(d['c_0011_8']), 'c_0101_3' : negation(d['c_0011_0']), 'c_0101_2' : d['c_0011_3'], 'c_0101_1' : negation(d['c_0011_8']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_10'], 'c_0101_8' : negation(d['c_0101_0']), 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_0'], 'c_0110_8' : negation(d['c_0011_6']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_8']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_0']), 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0110_4'], 'c_0110_7' : negation(d['c_0011_8']), 'c_0011_10' : d['c_0011_10']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0011_4, c_0011_6, c_0011_8, c_0101_0, c_0101_10, c_0110_4, c_0110_5, c_1001_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t + 263375208357/3989032160*c_1001_5^12 + 135552782391/3989032160*c_1001_5^11 + 913978216157/3989032160*c_1001_5^10 - 402890146201/797806432*c_1001_5^9 - 60842958141/398903216*c_1001_5^8 - 2247301969871/1994516080*c_1001_5^7 + 45400367129/13476460*c_1001_5^6 - 319067143459/997258040*c_1001_5^5 - 2631088677727/997258040*c_1001_5^4 - 1504813962843/997258040*c_1001_5^3 + 747474985321/997258040*c_1001_5^2 + 2293050115567/997258040*c_1001_5 + 68054143049/498629020, c_0011_0 - 1, c_0011_10 - 158733/5390584*c_1001_5^12 - 29342/673823*c_1001_5^11 - 513795/2695292*c_1001_5^10 + 57871/2695292*c_1001_5^9 - 677201/5390584*c_1001_5^8 + 1879295/2695292*c_1001_5^7 - 616264/673823*c_1001_5^6 + 597201/1347646*c_1001_5^5 - 364768/673823*c_1001_5^4 + 2152669/1347646*c_1001_5^3 + 605591/1347646*c_1001_5^2 - 283072/673823*c_1001_5 - 1232171/1347646, c_0011_3 - 15423/1347646*c_1001_5^12 - 29137/1347646*c_1001_5^11 - 171225/2695292*c_1001_5^10 + 14315/1347646*c_1001_5^9 + 56303/673823*c_1001_5^8 + 205343/673823*c_1001_5^7 - 570027/2695292*c_1001_5^6 - 602257/1347646*c_1001_5^5 - 145423/673823*c_1001_5^4 + 626347/1347646*c_1001_5^3 + 864997/1347646*c_1001_5^2 + 504754/673823*c_1001_5 - 390417/673823, c_0011_4 + 20915/5390584*c_1001_5^12 - 13463/1347646*c_1001_5^11 - 79671/2695292*c_1001_5^10 - 98112/673823*c_1001_5^9 - 674575/5390584*c_1001_5^8 - 43020/673823*c_1001_5^7 + 1509409/2695292*c_1001_5^6 - 13715/673823*c_1001_5^5 - 1380395/1347646*c_1001_5^4 - 1813533/1347646*c_1001_5^3 + 277254/673823*c_1001_5^2 + 1157365/673823*c_1001_5 + 1210183/1347646, c_0011_6 + 20915/5390584*c_1001_5^12 - 13463/1347646*c_1001_5^11 - 79671/2695292*c_1001_5^10 - 98112/673823*c_1001_5^9 - 674575/5390584*c_1001_5^8 - 43020/673823*c_1001_5^7 + 1509409/2695292*c_1001_5^6 - 13715/673823*c_1001_5^5 - 1380395/1347646*c_1001_5^4 - 1813533/1347646*c_1001_5^3 + 951077/673823*c_1001_5^2 + 1157365/673823*c_1001_5 + 1210183/1347646, c_0011_8 + c_1001_5, c_0101_0 - 1, c_0101_10 + 565739/5390584*c_1001_5^12 + 345241/2695292*c_1001_5^11 + 1212545/2695292*c_1001_5^10 - 1262229/2695292*c_1001_5^9 - 2786801/5390584*c_1001_5^8 - 1360514/673823*c_1001_5^7 + 5483475/1347646*c_1001_5^6 + 2642291/1347646*c_1001_5^5 - 4616853/1347646*c_1001_5^4 - 3520146/673823*c_1001_5^3 + 936671/1347646*c_1001_5^2 + 2324113/673823*c_1001_5 + 2265857/1347646, c_0110_4 + 1, c_0110_5 + 15423/1347646*c_1001_5^12 + 29137/1347646*c_1001_5^11 + 171225/2695292*c_1001_5^10 - 14315/1347646*c_1001_5^9 - 56303/673823*c_1001_5^8 - 205343/673823*c_1001_5^7 + 570027/2695292*c_1001_5^6 + 602257/1347646*c_1001_5^5 + 145423/673823*c_1001_5^4 - 626347/1347646*c_1001_5^3 - 864997/1347646*c_1001_5^2 + 169069/673823*c_1001_5 + 390417/673823, c_1001_5^13 + c_1001_5^12 + 4*c_1001_5^11 - 6*c_1001_5^10 - 5*c_1001_5^9 - 21*c_1001_5^8 + 44*c_1001_5^7 + 14*c_1001_5^6 - 24*c_1001_5^5 - 56*c_1001_5^4 + 32*c_1001_5^2 + 28*c_1001_5 + 4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.060 Total time: 0.270 seconds, Total memory usage: 32.09MB