Magma V2.19-8 Tue Aug 20 2013 16:17:16 on localhost [Seed = 2000087969] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1509 geometric_solution 5.31410213 oriented_manifold CS_known -0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1302 2031 0132 2310 0 0 0 0 0 -1 0 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2.980828017603 1.415634964485 0 2 2 0 3201 0132 3201 0132 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.148205253558 0.748480955610 1 1 3 4 2310 0132 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.349615529762 0.385625846682 4 5 6 2 1023 0132 0132 0132 0 0 0 0 0 0 0 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 1 -1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.018915378176 0.989108850040 5 3 2 6 3201 1023 0132 0132 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.018915378176 0.989108850040 5 3 5 4 2031 0132 1302 2310 0 0 0 0 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 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 0.521472144905 0.852764425299 6 6 4 3 1230 3012 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 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 1.373117352213 1.402809200353 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : negation(d['1']), 's_3_5' : negation(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' : negation(d['1']), 's_2_3' : d['1'], 's_2_4' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : d['1'], 's_1_6' : d['1'], 's_1_5' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : negation(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' : negation(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_1100_2'], 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : d['c_1100_2'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_1'], 'c_1100_0' : d['c_0011_1'], 'c_1100_3' : d['c_1100_2'], 'c_1100_2' : d['c_1100_2'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0011_3'], 'c_0101_4' : negation(d['c_0101_1']), 'c_0101_3' : d['c_0011_6'], 'c_0101_2' : negation(d['c_0011_6']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_0']), 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_3'], 'c_0011_6' : d['c_0011_6'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : d['c_0101_1'], 'c_1001_4' : d['c_0011_6'], 'c_1001_6' : negation(d['c_0011_6']), 'c_1001_1' : d['c_0011_6'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : negation(d['c_0101_6']), 'c_1001_2' : d['c_0101_1'], 'c_0110_1' : negation(d['c_0011_0']), 'c_0110_0' : negation(d['c_0101_1']), 'c_0110_3' : negation(d['c_0011_6']), 'c_0110_2' : negation(d['c_0101_1']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_6'], 'c_0110_6' : d['c_0011_6'], 'c_1010_6' : negation(d['c_0101_6']), 'c_1010_5' : negation(d['c_0101_6']), 'c_1010_4' : negation(d['c_0011_6']), 'c_1010_3' : d['c_0101_1'], 'c_1010_2' : d['c_0011_6'], 'c_1010_1' : 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_1, c_0011_3, c_0011_6, c_0101_1, c_0101_6, c_1100_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 20 Groebner basis: [ t + 206186450608/57138147653*c_0101_6*c_1100_2^9 - 1429236630/804762643*c_0101_6*c_1100_2^8 - 2467974290970/57138147653*c_0101_6*c_1100_2^7 + 953164062123/57138147653*c_0101_6*c_1100_2^6 + 17283794090384/57138147653*c_0101_6*c_1100_2^5 - 12689075310039/57138147653*c_0101_6*c_1100_2^4 - 46815195292932/57138147653*c_0101_6*c_1100_2^3 + 40067470462142/57138147653*c_0101_6*c_1100_2^2 + 44610152707769/57138147653*c_0101_6*c_1100_2 - 40111124269024/57138147653*c_0101_6, c_0011_0 - 1, c_0011_1 + 3247996/47338979*c_1100_2^9 + 6147514/47338979*c_1100_2^8 - 29396650/47338979*c_1100_2^7 - 60932756/47338979*c_1100_2^6 + 176839943/47338979*c_1100_2^5 + 280651562/47338979*c_1100_2^4 - 378062363/47338979*c_1100_2^3 - 483018815/47338979*c_1100_2^2 + 201770260/47338979*c_1100_2 + 156874095/47338979, c_0011_3 + 37766474/804762643*c_0101_6*c_1100_2^9 + 65220506/804762643*c_0101_6*c_1100_2^8 - 313308193/804762643*c_0101_6*c_1100_2^7 - 605185277/804762643*c_0101_6*c_1100_2^6 + 1810817223/804762643*c_0101_6*c_1100_2^5 + 2437891624/804762643*c_0101_6*c_1100_2^4 - 2850484734/804762643*c_0101_6*c_1100_2^3 - 3258603322/804762643*c_0101_6*c_1100_2^2 + 52032946/804762643*c_0101_6*c_1100_2 - 723071383/804762643*c_0101_6, c_0011_6 - 3844696/47338979*c_1100_2^9 - 6297932/47338979*c_1100_2^8 + 37380389/47338979*c_1100_2^7 + 65109833/47338979*c_1100_2^6 - 232449644/47338979*c_1100_2^5 - 292604589/47338979*c_1100_2^4 + 563590544/47338979*c_1100_2^3 + 528170233/47338979*c_1100_2^2 - 446379122/47338979*c_1100_2 - 223400892/47338979, c_0101_1 + 83665779/804762643*c_0101_6*c_1100_2^9 + 95536928/804762643*c_0101_6*c_1100_2^8 - 893730912/804762643*c_0101_6*c_1100_2^7 - 1069533191/804762643*c_0101_6*c_1100_2^6 + 5794185848/804762643*c_0101_6*c_1100_2^5 + 4360784473/804762643*c_0101_6*c_1100_2^4 - 15416948658/804762643*c_0101_6*c_1100_2^3 - 7807466041/804762643*c_0101_6*c_1100_2^2 + 13457652913/804762643*c_0101_6*c_1100_2 + 4064279633/804762643*c_0101_6, c_0101_6^2 + 3398414/47338979*c_1100_2^9 + 5324175/47338979*c_1100_2^8 - 32977027/47338979*c_1100_2^7 - 55445855/47338979*c_1100_2^6 + 202517070/47338979*c_1100_2^5 + 240718181/47338979*c_1100_2^4 - 478706881/47338979*c_1100_2^3 - 405485953/47338979*c_1100_2^2 + 329160457/47338979*c_1100_2 + 151900816/47338979, c_1100_2^10 - 12*c_1100_2^8 - c_1100_2^7 + 84*c_1100_2^6 - 23*c_1100_2^5 - 244*c_1100_2^4 + 93*c_1100_2^3 + 280*c_1100_2^2 - 102*c_1100_2 - 71 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB