Magma V2.19-8 Tue Aug 20 2013 16:18:33 on localhost [Seed = 1865347678] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2747 geometric_solution 5.98850570 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 3 0132 0132 0132 3201 0 0 0 0 0 0 -1 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 -1 1 0 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 0.297150548487 2.618751361658 0 2 4 2 0132 2031 0132 3012 0 0 0 0 0 -1 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 0 0 0 0 1 -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 0 0 0 -0.173792317606 0.890913388521 1 0 1 5 1302 0132 1230 0132 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 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 0 0 0 0 -0.173792317606 0.890913388521 5 0 4 0 3012 2310 0321 0132 0 0 0 0 0 0 -1 1 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 0 1 -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 0.095010939766 0.497757614203 6 5 3 1 0132 2031 0321 0132 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 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 0.305394509446 0.849532020557 4 6 2 3 1302 0132 0132 1230 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.305394509446 0.849532020557 4 5 6 6 0132 0132 2031 1302 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.461696498287 0.318032081903 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : d['1'], '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_1_6' : 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' : negation(d['1']), 's_1_0' : negation(d['1']), 's_0_6' : d['1'], 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : d['c_0101_1'], 'c_1100_5' : d['c_0101_0'], 'c_1100_4' : negation(d['c_1001_2']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_1001_2']), 'c_1100_0' : negation(d['c_0011_3']), 'c_1100_3' : negation(d['c_0011_3']), 'c_1100_2' : d['c_0101_0'], 'c_0101_6' : d['c_0101_1'], 'c_0101_5' : negation(d['c_0011_4']), 'c_0101_4' : negation(d['c_0101_3']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_4'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(d['c_0011_4']), '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_1001_5' : negation(d['c_0101_1']), 'c_1001_4' : negation(d['c_0011_3']), 'c_1001_6' : d['c_0101_3'], 'c_1001_1' : d['c_0011_4'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_1001_2']), 'c_1001_2' : d['c_1001_2'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_4']), 'c_0110_5' : d['c_0011_3'], 'c_0110_4' : d['c_0101_1'], 'c_0110_6' : negation(d['c_0101_3']), 'c_1010_6' : negation(d['c_0101_1']), 'c_1010_5' : d['c_0101_3'], 'c_1010_4' : d['c_0011_4'], 'c_1010_3' : negation(d['c_0101_1']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : d['c_1001_2']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_4, c_0101_0, c_0101_1, c_0101_3, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t - 635736445374/834941121047*c_1001_2^13 - 2038845475318/834941121047*c_1001_2^12 + 9654462099/4464925781*c_1001_2^11 + 613857969733/49114183591*c_1001_2^10 + 1493353445359/49114183591*c_1001_2^9 + 18759159435223/834941121047*c_1001_2^8 - 123909411063/834941121047*c_1001_2^7 - 11416956013136/834941121047*c_1001_2^6 - 5833836024430/834941121047*c_1001_2^5 - 520755982844/834941121047*c_1001_2^4 + 2637059757567/834941121047*c_1001_2^3 + 3317459438124/834941121047*c_1001_2^2 - 1448149496824/834941121047*c_1001_2 - 1062205742926/834941121047, c_0011_0 - 1, c_0011_3 + 167429349/262642693*c_1001_2^13 + 476417163/262642693*c_1001_2^12 - 679436505/262642693*c_1001_2^11 - 2543953554/262642693*c_1001_2^10 - 5534266905/262642693*c_1001_2^9 - 2759616723/262642693*c_1001_2^8 + 1474719629/262642693*c_1001_2^7 + 1928832126/262642693*c_1001_2^6 + 1018932102/262642693*c_1001_2^5 + 528371085/262642693*c_1001_2^4 - 927678208/262642693*c_1001_2^3 - 1202051737/262642693*c_1001_2^2 + 197182234/262642693*c_1001_2 - 199016737/262642693, c_0011_4 + 30078169/262642693*c_1001_2^13 + 38993153/262642693*c_1001_2^12 - 206867323/262642693*c_1001_2^11 - 120414182/262642693*c_1001_2^10 - 434124368/262642693*c_1001_2^9 + 302911607/262642693*c_1001_2^8 - 788878435/262642693*c_1001_2^7 - 1406511246/262642693*c_1001_2^6 - 491160750/262642693*c_1001_2^5 + 433830164/262642693*c_1001_2^4 + 344148901/262642693*c_1001_2^3 + 347429847/262642693*c_1001_2^2 + 88236941/262642693*c_1001_2 - 485444785/262642693, c_0101_0 + c_1001_2, c_0101_1 - 51241354/262642693*c_1001_2^13 - 86554647/262642693*c_1001_2^12 + 390914691/262642693*c_1001_2^11 + 588533378/262642693*c_1001_2^10 + 754084142/262642693*c_1001_2^9 - 1390441815/262642693*c_1001_2^8 - 2008074626/262642693*c_1001_2^7 - 521238919/262642693*c_1001_2^6 + 584221009/262642693*c_1001_2^5 + 554696084/262642693*c_1001_2^4 + 557977030/262642693*c_1001_2^3 - 1997566/262642693*c_1001_2^2 - 778165647/262642693*c_1001_2 + 30078169/262642693, c_0101_3 - 41429854/262642693*c_1001_2^13 - 23611089/262642693*c_1001_2^12 + 456103540/262642693*c_1001_2^11 + 283028946/262642693*c_1001_2^10 - 223882809/262642693*c_1001_2^9 - 2713667490/262642693*c_1001_2^8 - 2127680791/262642693*c_1001_2^7 + 1082822652/262642693*c_1001_2^6 + 1900652457/262642693*c_1001_2^5 + 353826096/262642693*c_1001_2^4 - 446944667/262642693*c_1001_2^3 - 425294535/262642693*c_1001_2^2 - 747499548/262642693*c_1001_2 + 234598764/262642693, c_1001_2^14 + 3*c_1001_2^13 - 4*c_1001_2^12 - 17*c_1001_2^11 - 34*c_1001_2^10 - 15*c_1001_2^9 + 20*c_1001_2^8 + 20*c_1001_2^7 + c_1001_2^6 - 5*c_1001_2^5 - 7*c_1001_2^4 - 7*c_1001_2^3 + 3*c_1001_2^2 + c_1001_2 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB