Magma V2.19-8 Tue Aug 20 2013 16:16:12 on localhost [Seed = 1848636078] 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' : negation(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' : 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' : 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' : 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' : 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 - 40057/15*c_0101_3^13 + 27682/3*c_0101_3^12 - 365227/15*c_0101_3^11 + 112420/3*c_0101_3^10 - 614971/15*c_0101_3^9 + 29069/3*c_0101_3^8 + 560504/15*c_0101_3^7 - 203470/3*c_0101_3^6 + 389662/5*c_0101_3^5 + 92007/5*c_0101_3^4 - 1091728/15*c_0101_3^3 + 69006/5*c_0101_3^2 + 77561/5*c_0101_3 - 73688/15, c_0011_0 - 1, c_0011_2 + 128*c_0101_3^13 - 457*c_0101_3^12 + 1210*c_0101_3^11 - 1906*c_0101_3^10 + 2108*c_0101_3^9 - 601*c_0101_3^8 - 1832*c_0101_3^7 + 3461*c_0101_3^6 - 4011*c_0101_3^5 - 608*c_0101_3^4 + 3766*c_0101_3^3 - 957*c_0101_3^2 - 818*c_0101_3 + 300, c_0011_4 - c_0101_0*c_0101_3^13 + 3*c_0101_0*c_0101_3^12 - 8*c_0101_0*c_0101_3^11 + 11*c_0101_0*c_0101_3^10 - 12*c_0101_0*c_0101_3^9 + 12*c_0101_0*c_0101_3^7 - 21*c_0101_0*c_0101_3^6 + 22*c_0101_0*c_0101_3^5 + 13*c_0101_0*c_0101_3^4 - 18*c_0101_0*c_0101_3^3 + 2*c_0101_0*c_0101_3^2 + 5*c_0101_0*c_0101_3 - c_0101_0, c_0101_0^2 - 4*c_0101_3^13 + 15*c_0101_3^12 - 40*c_0101_3^11 + 65*c_0101_3^10 - 73*c_0101_3^9 + 25*c_0101_3^8 + 60*c_0101_3^7 - 120*c_0101_3^6 + 139*c_0101_3^5 + 7*c_0101_3^4 - 133*c_0101_3^3 + 49*c_0101_3^2 + 31*c_0101_3 - 16, c_0101_1 - 15*c_0101_3^13 + 56*c_0101_3^12 - 150*c_0101_3^11 + 245*c_0101_3^10 - 280*c_0101_3^9 + 107*c_0101_3^8 + 205*c_0101_3^7 - 435*c_0101_3^6 + 525*c_0101_3^5 + 4*c_0101_3^4 - 458*c_0101_3^3 + 167*c_0101_3^2 + 94*c_0101_3 - 44, c_0101_2 - 329*c_0101_3^13 + 1161*c_0101_3^12 - 3073*c_0101_3^11 + 4807*c_0101_3^10 - 5313*c_0101_3^9 + 1464*c_0101_3^8 + 4612*c_0101_3^7 - 8665*c_0101_3^6 + 10064*c_0101_3^5 + 1760*c_0101_3^4 - 9332*c_0101_3^3 + 2169*c_0101_3^2 + 1997*c_0101_3 - 696, c_0101_3^14 - 4*c_0101_3^13 + 11*c_0101_3^12 - 19*c_0101_3^11 + 23*c_0101_3^10 - 12*c_0101_3^9 - 12*c_0101_3^8 + 33*c_0101_3^7 - 43*c_0101_3^6 + 9*c_0101_3^5 + 31*c_0101_3^4 - 20*c_0101_3^3 - 3*c_0101_3^2 + 5*c_0101_3 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB