Magma V2.19-8 Tue Aug 20 2013 16:16:12 on localhost [Seed = 1781266090] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0463 geometric_solution 4.49789426 oriented_manifold CS_known -0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 1 1 2 2 0132 3201 0132 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.374777191704 0.178696177517 0 3 0 4 0132 0132 2310 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 -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 0 0 0.818801037492 0.454102206780 5 0 5 0 0132 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -3.853896083426 1.267845181586 6 1 4 4 0132 0132 2310 1230 0 0 0 0 0 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 1 -1 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 0.717297838654 1.123980044102 3 3 1 6 3012 3201 0132 1023 0 0 0 0 0 1 -1 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 1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.717297838654 1.123980044102 2 2 5 5 0132 3201 1230 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.143670480432 0.027739343225 3 6 6 4 0132 1230 3012 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.717297838654 1.123980044102 ==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' : negation(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' : d['1'], 's_1_4' : negation(d['1']), 's_1_3' : negation(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_0101_2'], 'c_1100_4' : d['c_0011_0'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : negation(d['c_0011_2']), 'c_1100_3' : d['c_0011_4'], 'c_1100_2' : negation(d['c_0011_2']), 'c_0101_6' : d['c_0011_4'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_3'], '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_4'], '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_0'], 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0101_2']), 'c_1001_4' : negation(d['c_0101_3']), 'c_1001_6' : d['c_0011_0'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_3']), 'c_1001_2' : d['c_0101_0'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_4'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0011_4'], 'c_0110_6' : d['c_0101_3'], 'c_1010_6' : d['c_0011_4'], 'c_1010_5' : negation(d['c_0101_0']), 'c_1010_4' : d['c_0101_3'], 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0101_3']), '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_4, c_0101_0, c_0101_1, c_0101_2, c_0101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 28 Groebner basis: [ t - 31689/11*c_0101_3^13 + 15912/11*c_0101_3^12 + 25209*c_0101_3^11 + 336020/11*c_0101_3^10 - 518047/11*c_0101_3^9 - 1895401/11*c_0101_3^8 - 1961980/11*c_0101_3^7 + 324394/11*c_0101_3^6 + 3611910/11*c_0101_3^5 + 5123993/11*c_0101_3^4 + 4167558/11*c_0101_3^3 + 2079316/11*c_0101_3^2 + 564365/11*c_0101_3 + 62180/11, c_0011_0 - 1, c_0011_2 - 376*c_0101_3^13 + 139*c_0101_3^12 + 3334*c_0101_3^11 + 4406*c_0101_3^10 - 5776*c_0101_3^9 - 23441*c_0101_3^8 - 25900*c_0101_3^7 + 1745*c_0101_3^6 + 44149*c_0101_3^5 + 65988*c_0101_3^4 + 55562*c_0101_3^3 + 28939*c_0101_3^2 + 8370*c_0101_3 + 1000, c_0011_4 + c_0101_0*c_0101_3^13 - c_0101_0*c_0101_3^12 - 8*c_0101_0*c_0101_3^11 - 7*c_0101_0*c_0101_3^10 + 18*c_0101_0*c_0101_3^9 + 50*c_0101_0*c_0101_3^8 + 42*c_0101_0*c_0101_3^7 - 21*c_0101_0*c_0101_3^6 - 98*c_0101_0*c_0101_3^5 - 121*c_0101_0*c_0101_3^4 - 92*c_0101_0*c_0101_3^3 - 40*c_0101_0*c_0101_3^2 - 11*c_0101_0*c_0101_3 - c_0101_0, c_0101_0^2 + 8*c_0101_3^13 - c_0101_3^12 - 72*c_0101_3^11 - 111*c_0101_3^10 + 103*c_0101_3^9 + 533*c_0101_3^8 + 668*c_0101_3^7 + 76*c_0101_3^6 - 973*c_0101_3^5 - 1633*c_0101_3^4 - 1485*c_0101_3^3 - 843*c_0101_3^2 - 277*c_0101_3 - 40, c_0101_1 - 39*c_0101_3^13 + 8*c_0101_3^12 + 350*c_0101_3^11 + 513*c_0101_3^10 - 540*c_0101_3^9 - 2549*c_0101_3^8 - 3055*c_0101_3^7 - 151*c_0101_3^6 + 4717*c_0101_3^5 + 7568*c_0101_3^4 + 6674*c_0101_3^3 + 3663*c_0101_3^2 + 1146*c_0101_3 + 152, c_0101_2 - 425*c_0101_3^13 + 185*c_0101_3^12 + 3743*c_0101_3^11 + 4747*c_0101_3^10 - 6729*c_0101_3^9 - 25960*c_0101_3^8 - 27828*c_0101_3^7 + 3111*c_0101_3^6 + 49160*c_0101_3^5 + 71716*c_0101_3^4 + 59460*c_0101_3^3 + 30393*c_0101_3^2 + 8565*c_0101_3 + 992, c_0101_3^14 - 9*c_0101_3^12 - 15*c_0101_3^11 + 11*c_0101_3^10 + 68*c_0101_3^9 + 92*c_0101_3^8 + 21*c_0101_3^7 - 119*c_0101_3^6 - 219*c_0101_3^5 - 213*c_0101_3^4 - 132*c_0101_3^3 - 51*c_0101_3^2 - 11*c_0101_3 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB