Magma V2.19-8 Tue Aug 20 2013 16:18:11 on localhost [Seed = 88381503] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2395 geometric_solution 5.75992121 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 1 2 3 0132 3201 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 0.808204553334 0.255063337409 0 4 0 5 0132 0132 2310 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 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 0.667382759777 0.250525320572 5 3 3 0 0132 3012 2031 0132 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 0 0 0 0 0 0 1 -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 0.641386678582 0.460335294016 2 4 0 2 1230 2310 0132 1302 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 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 0.641386678582 0.460335294016 6 1 5 3 0132 0132 2310 3201 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 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 1.053158828572 1.351891159758 2 4 1 6 0132 3201 0132 1023 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 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 1.053158828572 1.351891159758 4 6 6 5 0132 1230 3012 1023 0 0 0 0 0 0 1 -1 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 -1 1 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 0.339827530564 0.728744442582 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(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' : negation(d['1']), 's_2_5' : negation(d['1']), 's_2_6' : negation(d['1']), 's_1_6' : negation(d['1']), 's_1_5' : negation(d['1']), 's_1_4' : negation(d['1']), 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : negation(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' : negation(d['c_0011_0']), 'c_1100_5' : d['c_0011_0'], 'c_1100_4' : negation(d['c_0011_2']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : d['c_0101_2'], 'c_1100_3' : d['c_0101_2'], 'c_1100_2' : d['c_0101_2'], 'c_0101_6' : d['c_0101_2'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_2']), 'c_0011_4' : d['c_0011_0'], 'c_0011_6' : negation(d['c_0011_0']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_2'], 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0101_4']), 'c_1001_4' : negation(d['c_0101_4']), 'c_1001_6' : d['c_0011_0'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_1001_1']), 'c_1001_2' : negation(d['c_0011_2']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_2'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0101_2'], 'c_0110_6' : d['c_0101_4'], 'c_1010_6' : d['c_0101_2'], 'c_1010_5' : d['c_0101_4'], 'c_1010_4' : d['c_1001_1'], 'c_1010_3' : negation(d['c_0101_2']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0101_4']), 'c_1010_0' : negation(d['c_1001_1'])})} 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_0101_0, c_0101_1, c_0101_2, c_0101_4, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t - 262983/22336*c_1001_1^12 - 140019/5584*c_1001_1^11 + 57427/698*c_1001_1^10 - 144991/1396*c_1001_1^9 - 7669857/11168*c_1001_1^8 + 5925129/11168*c_1001_1^7 + 5963305/2792*c_1001_1^6 - 3438207/5584*c_1001_1^5 - 9268281/2792*c_1001_1^4 - 5473883/5584*c_1001_1^3 + 5920747/5584*c_1001_1^2 + 221461/698*c_1001_1 - 78105/698, c_0011_0 - 1, c_0011_2 + 1843/2792*c_1001_1^12 + 2425/2792*c_1001_1^11 - 2051/349*c_1001_1^10 + 6481/698*c_1001_1^9 + 48303/1396*c_1001_1^8 - 21590/349*c_1001_1^7 - 144371/1396*c_1001_1^6 + 47841/349*c_1001_1^5 + 127415/698*c_1001_1^4 - 71289/698*c_1001_1^3 - 49119/349*c_1001_1^2 + 12279/698*c_1001_1 + 10852/349, c_0101_0 - c_1001_1, c_0101_1 - 3381/2792*c_1001_1^12 - 4219/2792*c_1001_1^11 + 7515/698*c_1001_1^10 - 12415/698*c_1001_1^9 - 85415/1396*c_1001_1^8 + 80131/698*c_1001_1^7 + 249863/1396*c_1001_1^6 - 86926/349*c_1001_1^5 - 220413/698*c_1001_1^4 + 127283/698*c_1001_1^3 + 84967/349*c_1001_1^2 - 21143/698*c_1001_1 - 18494/349, c_0101_2 - 377/5584*c_1001_1^12 - 85/1396*c_1001_1^11 + 811/1396*c_1001_1^10 - 403/349*c_1001_1^9 - 7363/2792*c_1001_1^8 + 16683/2792*c_1001_1^7 + 5605/698*c_1001_1^6 - 15509/1396*c_1001_1^5 - 11867/698*c_1001_1^4 + 9295/1396*c_1001_1^3 + 22585/1396*c_1001_1^2 + 80/349*c_1001_1 - 1610/349, c_0101_4 + 405/5584*c_1001_1^12 + 835/2792*c_1001_1^11 - 863/1396*c_1001_1^10 - 547/698*c_1001_1^9 + 24599/2792*c_1001_1^8 - 6633/2792*c_1001_1^7 - 48489/1396*c_1001_1^6 + 16213/1396*c_1001_1^5 + 21828/349*c_1001_1^4 - 9287/1396*c_1001_1^3 - 65431/1396*c_1001_1^2 - 997/698*c_1001_1 + 3482/349, c_1001_1^13 + 2*c_1001_1^12 - 8*c_1001_1^11 + 8*c_1001_1^10 + 62*c_1001_1^9 - 58*c_1001_1^8 - 220*c_1001_1^7 + 100*c_1001_1^6 + 416*c_1001_1^5 + 36*c_1001_1^4 - 316*c_1001_1^3 - 120*c_1001_1^2 + 64*c_1001_1 + 32 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB