Magma V2.19-8 Tue Aug 20 2013 16:18:14 on localhost [Seed = 2833855889] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2451 geometric_solution 5.79396972 oriented_manifold CS_known 0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 7 1 1 2 3 0132 2310 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1.475851531759 1.381458700719 0 1 1 0 0132 1230 3012 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.309184169755 0.208882485806 3 4 5 0 1302 0132 0132 0132 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 0 1 -1 0 0 0 0 1 -1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.752322228947 0.835664153611 6 2 0 5 0132 2031 0132 3201 0 0 0 0 0 0 0 0 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 -1 1 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 0.752322228947 0.835664153611 6 2 5 6 1302 0132 3201 0132 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 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 0.235976701282 0.975693947510 4 3 6 2 2310 2310 0132 0132 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 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 0.516361015423 0.348787996300 3 4 4 5 0132 2031 0132 0132 0 0 0 0 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 -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 0.235976701282 0.975693947510 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_0' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : negation(d['1']), 's_3_5' : d['1'], 's_3_4' : d['1'], 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : negation(d['1']), 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : d['1'], 's_1_6' : negation(d['1']), 's_1_5' : d['1'], 's_1_4' : negation(d['1']), 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : d['1'], 's_0_6' : negation(d['1']), 's_0_4' : negation(d['1']), 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : negation(d['c_0011_5']), 'c_1100_5' : negation(d['c_0011_5']), 'c_1100_4' : negation(d['c_0011_5']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : negation(d['c_0011_5']), 'c_1100_3' : negation(d['c_0011_5']), 'c_1100_2' : negation(d['c_0011_5']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_1'], 'c_0101_4' : d['c_0011_3'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : negation(d['c_0011_3']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_2']), 'c_0011_6' : negation(d['c_0011_3']), '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' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0011_2']), 'c_1001_4' : negation(d['c_0101_1']), 'c_1001_6' : negation(d['c_0101_6']), 'c_1001_1' : d['c_0011_0'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_0']), 'c_1001_2' : negation(d['c_0101_6']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_6'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : negation(d['c_0011_3']), 'c_0110_4' : d['c_0101_6'], 'c_0110_6' : d['c_0101_1'], 'c_1010_6' : negation(d['c_0011_2']), 'c_1010_5' : negation(d['c_0101_6']), 'c_1010_4' : negation(d['c_0101_6']), 'c_1010_3' : d['c_0011_2'], 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : d['c_0101_1'], 'c_1010_0' : negation(d['c_0101_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_3, c_0011_5, c_0101_0, c_0101_1, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t + 705977933/5515231*c_0101_6^11 + 4068596186/5515231*c_0101_6^10 - 49649393032/5515231*c_0101_6^9 + 139005633545/5515231*c_0101_6^8 - 119497963252/5515231*c_0101_6^7 - 91282600490/5515231*c_0101_6^6 + 233405222784/5515231*c_0101_6^5 - 125606957279/5515231*c_0101_6^4 - 21476843416/5515231*c_0101_6^3 + 33324495629/5515231*c_0101_6^2 - 495555665/5515231*c_0101_6 - 1890911554/5515231, c_0011_0 - 1, c_0011_2 + 14966258/5515231*c_0101_6^11 + 88517332/5515231*c_0101_6^10 - 1036174174/5515231*c_0101_6^9 + 2810669299/5515231*c_0101_6^8 - 2290025033/5515231*c_0101_6^7 - 1924300091/5515231*c_0101_6^6 + 4591433806/5515231*c_0101_6^5 - 2413023295/5515231*c_0101_6^4 - 408933579/5515231*c_0101_6^3 + 616626119/5515231*c_0101_6^2 - 10253295/5515231*c_0101_6 - 38593498/5515231, c_0011_3 + 14966258/5515231*c_0101_6^11 + 88517332/5515231*c_0101_6^10 - 1036174174/5515231*c_0101_6^9 + 2810669299/5515231*c_0101_6^8 - 2290025033/5515231*c_0101_6^7 - 1924300091/5515231*c_0101_6^6 + 4591433806/5515231*c_0101_6^5 - 2413023295/5515231*c_0101_6^4 - 408933579/5515231*c_0101_6^3 + 616626119/5515231*c_0101_6^2 - 10253295/5515231*c_0101_6 - 38593498/5515231, c_0011_5 - 3910587/5515231*c_0101_6^11 - 25440263/5515231*c_0101_6^10 + 255810901/5515231*c_0101_6^9 - 583097384/5515231*c_0101_6^8 + 243779918/5515231*c_0101_6^7 + 698118352/5515231*c_0101_6^6 - 879334194/5515231*c_0101_6^5 + 136182197/5515231*c_0101_6^4 + 292817724/5515231*c_0101_6^3 - 102782996/5515231*c_0101_6^2 - 30994611/5515231*c_0101_6 + 7477327/5515231, c_0101_0 + 23516825/5515231*c_0101_6^11 + 136426318/5515231*c_0101_6^10 - 1647670557/5515231*c_0101_6^9 + 4574723130/5515231*c_0101_6^8 - 3866260558/5515231*c_0101_6^7 - 3085414253/5515231*c_0101_6^6 + 7686892147/5515231*c_0101_6^5 - 4075466948/5515231*c_0101_6^4 - 788898042/5515231*c_0101_6^3 + 1150815071/5515231*c_0101_6^2 - 21403672/5515231*c_0101_6 - 80394126/5515231, c_0101_1 - 8526415/5515231*c_0101_6^11 - 44631073/5515231*c_0101_6^10 + 631375531/5515231*c_0101_6^9 - 1955791097/5515231*c_0101_6^8 + 1972919876/5515231*c_0101_6^7 + 1051863305/5515231*c_0101_6^6 - 3541919895/5515231*c_0101_6^5 + 2109510598/5515231*c_0101_6^4 + 300336498/5515231*c_0101_6^3 - 589741216/5515231*c_0101_6^2 + 4887445/5515231*c_0101_6 + 42214944/5515231, c_0101_6^12 + 6*c_0101_6^11 - 69*c_0101_6^10 + 180*c_0101_6^9 - 120*c_0101_6^8 - 176*c_0101_6^7 + 304*c_0101_6^6 - 93*c_0101_6^5 - 83*c_0101_6^4 + 43*c_0101_6^3 + 13*c_0101_6^2 - 4*c_0101_6 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB