Magma V2.19-8 Tue Aug 20 2013 23:57:43 on localhost [Seed = 206202054] Type ? for help. Type -D to quit. Loading file "L14n33480__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n33480 geometric_solution 10.92102103 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 1 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 0 0 0 0 0 1 0 -1 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.773293044636 0.948620395769 0 5 7 6 0132 0132 0132 0132 1 1 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 -3 3 0 0 0 0 0 2 1 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.510130887717 0.394487503706 8 0 9 8 0132 0132 0132 1023 1 1 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 1 0 -1 4 0 0 -4 0 -2 0 2 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.226047514762 0.860071424527 5 7 9 0 3120 3120 0321 0132 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.556908721334 0.875630455648 5 10 0 11 2103 0132 0132 0132 1 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 0 0 -1 1 -1 0 0 1 3 -3 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.719496148518 0.519325913016 6 1 4 3 0132 0132 2103 3120 1 1 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 -3 0 -1 0 1 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 0.445414077453 1.231017358058 5 8 1 11 0132 0132 0132 1023 1 1 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 1 0 -1 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 0.773293044636 0.948620395769 11 3 10 1 1023 3120 1023 0132 1 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 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 0 0 0 0 0 0 0 0 0 0 1.513804711348 0.545846998633 2 6 10 2 0132 0132 1302 1023 1 1 0 0 0 0 -1 1 -1 0 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 0 0 -1 -3 4 -4 0 3 1 -1 3 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.226047514762 0.860071424527 11 10 3 2 0321 0321 0321 0132 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.805162151712 1.490680314566 8 4 7 9 2031 0132 1023 0321 1 1 0 1 0 0 0 0 1 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 0 0 0 0 3 0 -3 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 0.719496148518 0.519325913016 9 7 4 6 0321 1023 0132 1023 1 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 -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 0.719496148518 0.519325913016 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_7'], 'c_1001_10' : d['c_0101_7'], 'c_1001_5' : negation(d['c_0011_10']), 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_0101_10'], 'c_1001_6' : negation(d['c_0011_10']), 'c_1001_1' : negation(d['c_0011_3']), 'c_1001_0' : negation(d['c_0011_11']), 'c_1001_3' : negation(d['c_0101_10']), 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_1001_9'], 'c_1001_8' : negation(d['c_0011_9']), 'c_1010_11' : d['c_0101_1'], 'c_1010_10' : d['c_1001_2'], 's_3_11' : d['1'], 's_0_11' : 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' : negation(d['c_0101_11']), 'c_1100_4' : d['c_1001_9'], 'c_1100_7' : negation(d['c_1001_9']), 'c_1100_6' : negation(d['c_1001_9']), 'c_1100_1' : negation(d['c_1001_9']), 'c_1100_0' : d['c_1001_9'], 'c_1100_3' : d['c_1001_9'], 'c_1100_2' : negation(d['c_0101_10']), 's_0_10' : d['1'], 'c_1100_11' : d['c_1001_9'], 'c_1100_10' : d['c_1001_9'], 's_3_10' : d['1'], 'c_1010_7' : negation(d['c_0011_3']), 'c_1010_6' : negation(d['c_0011_9']), 'c_1010_5' : negation(d['c_0011_3']), 'c_1010_4' : d['c_0101_7'], 'c_1010_3' : negation(d['c_0011_11']), 'c_1010_2' : negation(d['c_0011_11']), 'c_1010_1' : negation(d['c_0011_10']), 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_1001_2'], 'c_1010_8' : negation(d['c_0011_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' : d['c_0011_9'], 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : d['c_0011_11'], 'c_0110_6' : d['c_0101_1'], '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_9']), 'c_0110_10' : negation(d['c_0011_9']), 'c_0110_0' : d['c_0101_1'], 'c_0011_6' : negation(d['c_0011_0']), 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_1'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_11'], 'c_0101_2' : negation(d['c_0011_11']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0101_11']), 'c_0101_8' : negation(d['c_0011_10']), 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_11']), 'c_0110_8' : negation(d['c_0011_11']), 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_0101_10']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_10']), 'c_0110_5' : d['c_0101_0'], 'c_0110_4' : d['c_0101_11'], 'c_0110_7' : d['c_0101_1'], 'c_1100_8' : d['c_0101_10']})} 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_9, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_7, c_1001_2, c_1001_9 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 6093963486014955333/195850053836800*c_1001_9^7 + 775538476596706981/9792502691840*c_1001_9^6 + 331570315233661157507/3133600861388800*c_1001_9^5 + 2062787583545994745353/12534403445555200*c_1001_9^4 + 2995152714140494003/45579648892928*c_1001_9^3 + 1595827272620125802889/12534403445555200*c_1001_9^2 + 15217917376364341483/729274382286848*c_1001_9 + 311115668354094405023/10027522756444160, c_0011_0 - 1, c_0011_10 - 454855920/86936281*c_1001_9^7 - 279095488/86936281*c_1001_9^6 - 1077732745/86936281*c_1001_9^5 - 993247643/347745124*c_1001_9^4 - 2706770171/347745124*c_1001_9^3 - 848139595/347745124*c_1001_9^2 - 2264409427/5563921984*c_1001_9 - 641095329/1390980496, c_0011_11 - 454855920/86936281*c_1001_9^7 - 279095488/86936281*c_1001_9^6 - 1077732745/86936281*c_1001_9^5 - 993247643/347745124*c_1001_9^4 - 2706770171/347745124*c_1001_9^3 - 848139595/347745124*c_1001_9^2 - 2264409427/5563921984*c_1001_9 - 641095329/1390980496, c_0011_3 + 46869472/86936281*c_1001_9^7 + 214684544/86936281*c_1001_9^6 + 66362354/86936281*c_1001_9^5 + 797802539/173872562*c_1001_9^4 - 510830661/173872562*c_1001_9^3 + 633341091/173872562*c_1001_9^2 - 8415537949/2781960992*c_1001_9 + 558139793/695490248, c_0011_9 + 46869472/86936281*c_1001_9^7 + 214684544/86936281*c_1001_9^6 + 66362354/86936281*c_1001_9^5 + 797802539/173872562*c_1001_9^4 - 510830661/173872562*c_1001_9^3 + 633341091/173872562*c_1001_9^2 - 2851615965/2781960992*c_1001_9 + 558139793/695490248, c_0101_0 - 1, c_0101_1 + 590150368/86936281*c_1001_9^7 - 334767744/86936281*c_1001_9^6 + 1154976130/86936281*c_1001_9^5 - 2620817469/173872562*c_1001_9^4 + 1983810179/173872562*c_1001_9^3 - 1668173933/173872562*c_1001_9^2 + 6524587771/2781960992*c_1001_9 - 1039585543/695490248, c_0101_10 + 406429648/86936281*c_1001_9^7 - 210030528/86936281*c_1001_9^6 + 749179531/86936281*c_1001_9^5 - 3457665503/347745124*c_1001_9^4 + 2631952993/347745124*c_1001_9^3 - 1816397519/347745124*c_1001_9^2 + 8339531977/5563921984*c_1001_9 - 212804685/1390980496, c_0101_11 - 292517840/86936281*c_1001_9^7 - 243657792/86936281*c_1001_9^6 - 544783883/86936281*c_1001_9^5 - 486742689/347745124*c_1001_9^4 - 451393825/347745124*c_1001_9^3 - 402629713/347745124*c_1001_9^2 + 310902007/5563921984*c_1001_9 - 83511315/1390980496, c_0101_7 + 292517840/86936281*c_1001_9^7 + 243657792/86936281*c_1001_9^6 + 544783883/86936281*c_1001_9^5 + 486742689/347745124*c_1001_9^4 + 451393825/347745124*c_1001_9^3 + 402629713/347745124*c_1001_9^2 - 310902007/5563921984*c_1001_9 + 83511315/1390980496, c_1001_2 - 46869472/86936281*c_1001_9^7 - 214684544/86936281*c_1001_9^6 - 66362354/86936281*c_1001_9^5 - 797802539/173872562*c_1001_9^4 + 510830661/173872562*c_1001_9^3 - 633341091/173872562*c_1001_9^2 + 2851615965/2781960992*c_1001_9 - 558139793/695490248, c_1001_9^8 + 39/16*c_1001_9^6 - 59/64*c_1001_9^5 + 145/64*c_1001_9^4 - 47/64*c_1001_9^3 + 765/1024*c_1001_9^2 - 25/128*c_1001_9 + 5/64 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.080 Total time: 0.290 seconds, Total memory usage: 32.09MB