Magma V2.19-8 Tue Aug 20 2013 16:18:57 on localhost [Seed = 728413764] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3113 geometric_solution 6.26787399 oriented_manifold CS_known 0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 7 1 0 1 0 0132 1302 2310 2031 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 0 -1 1 0 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 -1.571606516313 1.911071479737 0 0 3 2 0132 3201 0132 0132 0 0 0 0 0 -1 0 1 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.225165736300 0.472424346903 3 4 1 4 1230 0132 0132 1230 0 0 1 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 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 0.791624810955 0.946089987244 5 2 5 1 0132 3012 3012 0132 0 0 0 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 1 -1 -1 0 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.791624810955 0.946089987244 2 2 5 6 3012 0132 0132 0132 0 0 0 1 0 0 0 0 -1 0 0 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 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 0.222028502452 1.008080395826 3 3 6 4 0132 1230 2310 0132 0 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 -1 1 0 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 0.222028502452 1.008080395826 6 5 4 6 3012 3201 0132 1230 0 0 0 0 0 1 0 -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 1 0 -1 1 0 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 0.257428513071 0.812715799542 ==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' : d['1'], 's_1_1' : d['1'], 's_1_0' : d['1'], 's_0_6' : 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_1100_6' : d['c_0011_6'], 'c_1100_5' : d['c_0011_6'], 'c_1100_4' : d['c_0011_6'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0101_6'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : d['c_0101_6'], 'c_1100_2' : d['c_0101_6'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_1'], 'c_0101_4' : d['c_0101_3'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_2'], 'c_0011_4' : negation(d['c_0011_2']), 'c_0011_6' : d['c_0011_6'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_2']), 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0101_6']), 'c_1001_4' : d['c_0101_3'], 'c_1001_6' : negation(d['c_0101_1']), 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : negation(d['c_0011_2']), 'c_1001_2' : negation(d['c_0101_1']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : negation(d['c_0011_2']), 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : d['c_0101_6'], 'c_0110_6' : d['c_0011_6'], 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : d['c_0101_3'], 'c_1010_4' : negation(d['c_0101_1']), 'c_1010_3' : negation(d['c_0101_0']), 'c_1010_2' : d['c_0101_3'], 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : d['c_0011_0']})} 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_2, c_0011_6, c_0101_0, c_0101_1, c_0101_3, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t + 69953092777973/10639990291392*c_0101_6^10 + 165789020453689/5319995145696*c_0101_6^9 - 88835542668889/886665857616*c_0101_6^8 + 508971189210601/1519998613056*c_0101_6^7 - 4377970648345/108571329504*c_0101_6^6 + 797668710725881/1329998786424*c_0101_6^5 - 755310245562743/5319995145696*c_0101_6^4 + 11188221209172401/10639990291392*c_0101_6^3 - 5270883931132213/10639990291392*c_0101_6^2 - 2350092249155437/10639990291392*c_0101_6 - 2981772104473861/10639990291392, c_0011_0 - 1, c_0011_2 - 1, c_0011_6 - 6220944185/322423948224*c_0101_6^10 - 15046248221/161211974112*c_0101_6^9 + 23550283583/80605987056*c_0101_6^8 - 42442827485/46060564032*c_0101_6^7 - 34167643/365560032*c_0101_6^6 - 57157685101/40302993528*c_0101_6^5 + 27104245795/161211974112*c_0101_6^4 - 279577377335/107474649408*c_0101_6^3 + 287755045849/322423948224*c_0101_6^2 + 337855539473/322423948224*c_0101_6 + 28510967203/107474649408, c_0101_0 + 158918/239898771*c_0101_6^10 - 478348/239898771*c_0101_6^9 - 1069055/26655419*c_0101_6^8 + 3056008/34271253*c_0101_6^7 - 5914619/34271253*c_0101_6^6 - 77919118/239898771*c_0101_6^5 - 7854634/239898771*c_0101_6^4 - 189431845/239898771*c_0101_6^3 - 163934182/239898771*c_0101_6^2 - 190441204/239898771*c_0101_6 + 133405289/239898771, c_0101_1 + 1434694039/161211974112*c_0101_6^10 + 4043247811/80605987056*c_0101_6^9 - 3837493585/40302993528*c_0101_6^8 + 7982037235/23030282016*c_0101_6^7 + 176065471/548340048*c_0101_6^6 + 16994755643/20151496764*c_0101_6^5 + 59161135795/80605987056*c_0101_6^4 + 64199159417/53737324704*c_0101_6^3 + 132088335817/161211974112*c_0101_6^2 + 1795751201/161211974112*c_0101_6 - 29883505837/53737324704, c_0101_3 - 2912522743/214949298816*c_0101_6^10 - 24205771225/322423948224*c_0101_6^9 + 25704361667/161211974112*c_0101_6^8 - 46035096313/92121128064*c_0101_6^7 - 3366059767/6580080576*c_0101_6^6 - 8846197921/8956220784*c_0101_6^5 - 179514761497/322423948224*c_0101_6^4 - 1001855758369/644847896448*c_0101_6^3 - 24664262953/214949298816*c_0101_6^2 + 1207282651357/644847896448*c_0101_6 + 535334947733/644847896448, c_0101_6^11 + 5*c_0101_6^10 - 14*c_0101_6^9 + 47*c_0101_6^8 + 7*c_0101_6^7 + 90*c_0101_6^6 + 2*c_0101_6^5 + 155*c_0101_6^4 - 34*c_0101_6^3 - 52*c_0101_6^2 - 52*c_0101_6 - 11 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB