Magma V2.19-8 Tue Aug 20 2013 23:58:00 on localhost [Seed = 1174417133] Type ? for help. Type -D to quit. Loading file "L14n38571__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n38571 geometric_solution 11.76037101 oriented_manifold CS_known -0.0000000000000004 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 1 0 1 1 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 6 -1 -5 1 0 -1 0 -6 0 0 6 5 0 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.572077434785 0.780108972171 0 2 5 4 0132 1230 0132 1230 0 0 1 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 0 0 0 -1 0 1 0 -5 5 0 0 6 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.570135755621 0.517493160554 5 0 1 6 0132 0132 3012 0132 1 0 1 1 0 -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 -6 6 0 0 0 0 0 0 0 0 0 5 0 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.540519385166 0.985374589415 5 7 8 0 2031 0132 0132 0132 1 0 1 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 -1 1 0 0 -1 1 -6 1 0 5 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.456218123725 0.648038421044 1 5 0 6 3012 2103 0132 0213 1 0 0 1 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 -5 5 0 0 0 0 0 0 0 0 0 0 6 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.416045807708 1.236198733819 2 4 3 1 0132 2103 1302 0132 0 0 1 1 0 0 0 0 0 0 0 0 -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 1 -1 -5 5 0 0 0 -6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.755451507355 0.726628009138 9 10 2 4 0132 0132 0132 0213 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 0 0 0 0 0 0 0 0 0 0 0 0.273640694788 1.031762467955 9 3 11 10 3012 0132 0132 2310 1 0 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 0 0 0 0 0 0 0 0 0 0 0 0 5 -5 0 -1 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.416045807708 1.236198733819 9 11 10 3 2310 2031 0321 0132 1 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 -1 0 1 -6 0 5 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 0.572077434785 0.780108972171 6 11 8 7 0132 3201 3201 1230 0 0 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 0 0 0 0 0 0 0 0 0 0 0 -6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.540519385166 0.985374589415 7 6 8 11 3201 0132 0321 0321 1 0 1 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 -1 0 1 0 0 0 0 0 5 0 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.312410323303 0.661355378893 8 10 9 7 1302 0321 2310 0132 1 0 1 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 -1 0 6 -5 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.038320054030 0.872884729250 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0101_7']), 'c_1001_10' : d['c_1001_10'], 'c_1001_5' : d['c_0011_4'], 'c_1001_4' : d['c_0011_0'], 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : d['c_1001_0'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0011_11'], 'c_1001_2' : d['c_0011_0'], 'c_1001_9' : d['c_0011_8'], 'c_1001_8' : negation(d['c_0101_7']), 'c_1010_11' : d['c_1001_0'], 'c_1010_10' : d['c_1001_0'], 's_3_11' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : negation(d['c_0011_8']), 'c_0101_10' : d['c_0011_8'], '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_1100_8' : d['c_1001_10'], 'c_1100_5' : d['c_0101_3'], 'c_1100_4' : d['c_1001_10'], 'c_1100_7' : d['c_0011_10'], 'c_1100_6' : negation(d['c_1001_1']), 'c_1100_1' : d['c_0101_3'], 'c_1100_0' : d['c_1001_10'], 'c_1100_3' : d['c_1001_10'], 'c_1100_2' : negation(d['c_1001_1']), 's_0_10' : d['1'], 'c_1100_11' : d['c_0011_10'], 'c_1100_10' : negation(d['c_0101_7']), 's_0_11' : d['1'], 'c_1010_7' : d['c_0011_11'], 'c_1010_6' : d['c_1001_10'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : negation(d['c_1001_1']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0101_1'], 'c_1010_0' : d['c_0011_0'], 'c_1010_9' : d['c_0101_7'], 'c_1010_8' : d['c_0011_11'], '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_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_3']), 'c_0011_6' : negation(d['c_0011_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_11' : d['c_0101_7'], 'c_0110_10' : negation(d['c_0011_11']), 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : negation(d['c_0011_3']), 'c_0101_5' : negation(d['c_0011_3']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_1'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_4'], 'c_0101_9' : negation(d['c_0101_3']), 'c_0101_8' : negation(d['c_0011_8']), 'c_0011_10' : d['c_0011_10'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_3']), 'c_0110_8' : d['c_0101_3'], 'c_0110_1' : d['c_0011_4'], 'c_1100_9' : negation(d['c_0011_8']), 'c_0110_3' : d['c_0011_4'], 'c_0110_2' : negation(d['c_0011_3']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_3'], 'c_0110_7' : negation(d['c_0011_8']), 'c_0110_6' : negation(d['c_0101_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_0011_8, c_0101_1, c_0101_3, c_0101_7, c_1001_0, c_1001_1, c_1001_10 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t - 148239891811/11951275560*c_1001_10^13 + 50086646341/1024395048*c_1001_10^12 - 315911483911/7170765336*c_1001_10^11 - 3089812243829/17926913340*c_1001_10^10 + 4741235716591/17926913340*c_1001_10^9 - 11597306288009/35853826680*c_1001_10^8 - 237163671757/512197524*c_1001_10^7 + 871558942181/1991879260*c_1001_10^6 - 1941742451654/896345667*c_1001_10^5 - 21964117437473/17926913340*c_1001_10^4 + 21776445668227/8963456670*c_1001_10^3 - 490700468103/995939630*c_1001_10^2 - 923330315765/896345667*c_1001_10 + 7034192566451/8963456670, c_0011_0 - 1, c_0011_10 + 637412473/170732508*c_1001_10^13 - 3374966203/170732508*c_1001_10^12 + 6918494503/170732508*c_1001_10^11 - 166208222/42683127*c_1001_10^10 - 3294456604/42683127*c_1001_10^9 + 36822952495/170732508*c_1001_10^8 - 4431971545/28455418*c_1001_10^7 + 6331898443/85366254*c_1001_10^6 + 52393357901/85366254*c_1001_10^5 - 40405782491/85366254*c_1001_10^4 + 95626263/14227709*c_1001_10^3 + 16323707300/42683127*c_1001_10^2 - 10897065263/42683127*c_1001_10 + 1489762972/14227709, c_0011_11 + 637412473/170732508*c_1001_10^13 - 3374966203/170732508*c_1001_10^12 + 6918494503/170732508*c_1001_10^11 - 166208222/42683127*c_1001_10^10 - 3294456604/42683127*c_1001_10^9 + 36822952495/170732508*c_1001_10^8 - 4431971545/28455418*c_1001_10^7 + 6331898443/85366254*c_1001_10^6 + 52393357901/85366254*c_1001_10^5 - 40405782491/85366254*c_1001_10^4 + 95626263/14227709*c_1001_10^3 + 16323707300/42683127*c_1001_10^2 - 10897065263/42683127*c_1001_10 + 1489762972/14227709, c_0011_3 - c_1001_10, c_0011_4 - 1, c_0011_8 - 96933823/85366254*c_1001_10^13 + 514635481/85366254*c_1001_10^12 - 529436339/42683127*c_1001_10^11 + 56295262/42683127*c_1001_10^10 + 1005441362/42683127*c_1001_10^9 - 5633900485/85366254*c_1001_10^8 + 687250463/14227709*c_1001_10^7 - 989182462/42683127*c_1001_10^6 - 7954351637/42683127*c_1001_10^5 + 12505216285/85366254*c_1001_10^4 - 43411443/14227709*c_1001_10^3 - 4957387894/42683127*c_1001_10^2 + 3319818127/42683127*c_1001_10 - 454036670/14227709, c_0101_1 - 47735071/128049381*c_1001_10^13 + 252380752/128049381*c_1001_10^12 - 1032379133/256098762*c_1001_10^11 + 90730945/256098762*c_1001_10^10 + 990293641/128049381*c_1001_10^9 - 5512088183/256098762*c_1001_10^8 + 437143297/28455418*c_1001_10^7 - 1819372501/256098762*c_1001_10^6 - 7883324293/128049381*c_1001_10^5 + 12022838249/256098762*c_1001_10^4 + 618529/42683127*c_1001_10^3 - 4951451015/128049381*c_1001_10^2 + 3333296489/128049381*c_1001_10 - 419762243/42683127, c_0101_3 + 47735071/128049381*c_1001_10^13 - 252380752/128049381*c_1001_10^12 + 1032379133/256098762*c_1001_10^11 - 90730945/256098762*c_1001_10^10 - 990293641/128049381*c_1001_10^9 + 5512088183/256098762*c_1001_10^8 - 437143297/28455418*c_1001_10^7 + 1819372501/256098762*c_1001_10^6 + 7883324293/128049381*c_1001_10^5 - 12022838249/256098762*c_1001_10^4 - 618529/42683127*c_1001_10^3 + 4951451015/128049381*c_1001_10^2 - 3205247108/128049381*c_1001_10 + 419762243/42683127, c_0101_7 + 804353719/512197524*c_1001_10^13 - 4304334127/512197524*c_1001_10^12 + 9029432479/512197524*c_1001_10^11 - 430713245/128049381*c_1001_10^10 - 7712377391/256098762*c_1001_10^9 + 45864617053/512197524*c_1001_10^8 - 988436810/14227709*c_1001_10^7 + 5176336097/128049381*c_1001_10^6 + 62526384329/256098762*c_1001_10^5 - 25153174414/128049381*c_1001_10^4 + 487114091/42683127*c_1001_10^3 + 18648795947/128049381*c_1001_10^2 - 12629808821/128049381*c_1001_10 + 1738673138/42683127, c_1001_0 + 1475535263/512197524*c_1001_10^13 - 7814378471/512197524*c_1001_10^12 + 16027039661/512197524*c_1001_10^11 - 786762545/256098762*c_1001_10^10 - 15233638561/256098762*c_1001_10^9 + 85275072401/512197524*c_1001_10^8 - 3432010767/28455418*c_1001_10^7 + 7401822217/128049381*c_1001_10^6 + 60590077328/128049381*c_1001_10^5 - 46866028697/128049381*c_1001_10^4 + 283165195/42683127*c_1001_10^3 + 37503280471/128049381*c_1001_10^2 - 25234508311/128049381*c_1001_10 + 3476705821/42683127, c_1001_1 - 1, c_1001_10^14 - 4*c_1001_10^13 + 4*c_1001_10^12 + 13*c_1001_10^11 - 22*c_1001_10^10 + 31*c_1001_10^9 + 33*c_1001_10^8 - 34*c_1001_10^7 + 190*c_1001_10^6 + 86*c_1001_10^5 - 162*c_1001_10^4 + 104*c_1001_10^3 + 64*c_1001_10^2 - 60*c_1001_10 + 36 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.330 Total time: 0.540 seconds, Total memory usage: 32.09MB