Magma V2.19-8 Tue Aug 20 2013 23:53:00 on localhost [Seed = 509113823] Type ? for help. Type -D to quit. Loading file "K12n346__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K12n346 geometric_solution 11.77554603 oriented_manifold CS_known 0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 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 -1 0 1 0 0 0 0 0 1 0 -1 -1 -1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.574448726402 0.344769920471 0 5 7 6 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.675518774817 1.287214331445 8 0 10 9 0132 0132 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 -1 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 0.917448361397 0.832080468618 8 7 11 0 1230 0132 0132 0132 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 -1 0 1 0 2 0 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.621133998755 1.183740391032 6 10 0 9 3012 1023 0132 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 -1 1 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 0.498398242845 0.517643419441 6 1 12 11 0213 0132 0132 1230 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 0 0 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.490259413366 0.350999394333 5 12 1 4 0213 0132 0132 1230 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 -2 1 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.389108574179 0.517176229498 12 3 9 1 2031 0132 0213 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 -0.013262647005 1.161706645598 2 3 12 9 0132 3012 3201 3120 0 0 0 0 0 0 1 -1 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 -1 1 0 0 1 -1 -1 1 0 0 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.656445420870 0.270222548955 8 7 2 4 3120 0213 0132 1023 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 1 0 0 -1 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.553679515885 1.001491352269 4 11 11 2 1023 0132 1023 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 0.476771592285 0.913409314329 5 10 10 3 3012 0132 1023 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 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 0.611436050162 0.870748301224 8 6 7 5 2310 0132 1302 0132 0 0 0 0 0 0 0 0 1 0 0 -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 0 0 0 0 -2 0 0 2 -1 1 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.959854801783 0.955418516190 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_10'], 'c_1001_10' : d['c_0101_11'], 'c_1001_12' : d['c_0101_1'], 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : d['c_0101_10'], 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : d['c_1001_5'], 'c_1001_1' : d['c_0101_11'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0101_11'], 'c_1001_2' : d['c_0101_10'], 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : negation(d['c_0011_3']), 'c_1010_12' : d['c_1001_5'], 'c_1010_11' : d['c_0101_11'], 'c_1010_10' : d['c_0101_10'], 's_3_11' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : d['1'], 's_2_12' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : 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_0011_11' : negation(d['c_0011_10']), 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0011_9'], 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : d['c_0110_4'], 'c_1100_6' : d['c_0110_4'], 'c_1100_1' : d['c_0110_4'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : negation(d['c_1100_0']), 's_0_10' : d['1'], 'c_1100_9' : negation(d['c_1100_0']), 'c_1100_11' : d['c_1100_0'], 'c_1100_10' : negation(d['c_1100_0']), 's_0_11' : d['1'], 'c_1010_7' : d['c_0101_11'], 'c_1010_6' : d['c_0101_1'], 'c_1010_5' : d['c_0101_11'], 'c_1010_4' : d['c_0101_2'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_5'], 'c_1010_0' : d['c_0101_10'], 'c_1010_9' : d['c_0110_4'], 'c_1010_8' : negation(d['c_0011_9']), 'c_1100_8' : negation(d['c_0011_12']), 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : d['c_0011_9'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : d['1'], 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_9'], 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_10'], 'c_0011_7' : negation(d['c_0011_3']), 'c_0011_6' : negation(d['c_0011_12']), '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' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0011_9'], 'c_0110_10' : d['c_0101_2'], 'c_0110_12' : negation(d['c_0011_12']), 'c_0101_12' : d['c_0011_3'], 'c_0101_7' : d['c_0011_9'], 'c_0101_6' : d['c_0011_0'], 'c_0101_5' : negation(d['c_0011_12']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0011_9'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_0'], 'c_0101_9' : d['c_0011_12'], 'c_0101_8' : d['c_0011_12'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_2'], 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0011_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_0'], 'c_0110_2' : d['c_0011_12'], 'c_0110_5' : negation(d['c_0011_10']), 'c_0110_4' : d['c_0110_4'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0011_10']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_12, c_0011_3, c_0011_9, c_0101_1, c_0101_10, c_0101_11, c_0101_2, c_0110_4, c_1001_0, c_1001_5, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t + 473/852*c_1001_0*c_1100_0 + 689/852*c_1001_0 - 287/142*c_1100_0 - 2767/852, c_0011_0 - 1, c_0011_10 + 2*c_1001_0 + c_1100_0 + 4, c_0011_12 - c_1001_0*c_1100_0 + 1, c_0011_3 - 2, c_0011_9 - 2*c_1001_0*c_1100_0 + c_1001_0 - c_1100_0 + 2, c_0101_1 + 1, c_0101_10 + c_1001_0 - c_1100_0, c_0101_11 + c_1001_0*c_1100_0 + c_1100_0, c_0101_2 + c_1001_0*c_1100_0 + c_1100_0 - 2, c_0110_4 + c_1001_0*c_1100_0 + 2*c_1100_0 - 1, c_1001_0^2 - 2*c_1001_0*c_1100_0 - 2*c_1001_0 - c_1100_0 - 2, c_1001_5 + c_1100_0 - 1, c_1100_0^2 + c_1100_0 - 1 ], Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_12, c_0011_3, c_0011_9, c_0101_1, c_0101_10, c_0101_11, c_0101_2, c_0110_4, c_1001_0, c_1001_5, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 57489/12629*c_1100_0^7 + 187834/12629*c_1100_0^6 + 204431/12629*c_1100_0^5 + 27462/12629*c_1100_0^4 - 167530/12629*c_1100_0^3 - 150054/12629*c_1100_0^2 - 42281/12629*c_1100_0 + 5613/12629, c_0011_0 - 1, c_0011_10 + 4*c_1100_0^7 + 10*c_1100_0^6 + 9*c_1100_0^5 + 3*c_1100_0^4 - 2*c_1100_0^3 + 5*c_1100_0^2 + 7*c_1100_0 + 5, c_0011_12 + c_1100_0^6 + c_1100_0^5 - c_1100_0^4 + c_1100_0^2 + c_1100_0 - 1, c_0011_3 - c_1100_0^7 - 2*c_1100_0^6 + c_1100_0^4 - c_1100_0^2 - c_1100_0 + 1, c_0011_9 + 2*c_1100_0^7 + 2*c_1100_0^6 - 2*c_1100_0^5 - c_1100_0^4 + 3*c_1100_0^2 - c_1100_0 - 1, c_0101_1 + c_1100_0^7 + 2*c_1100_0^6 - 2*c_1100_0^4 - c_1100_0^3 + 2*c_1100_0^2 + c_1100_0 - 1, c_0101_10 + c_1100_0^6 + 2*c_1100_0^5 + c_1100_0^4 + c_1100_0 + 1, c_0101_11 + c_1100_0^7 + 3*c_1100_0^6 + 2*c_1100_0^5 - c_1100_0^4 - c_1100_0^3 + 2*c_1100_0^2 + 2*c_1100_0, c_0101_2 - 2*c_1100_0^7 - 3*c_1100_0^6 + c_1100_0^5 + 2*c_1100_0^4 - 3*c_1100_0^2 + c_1100_0 + 1, c_0110_4 + 2*c_1100_0^7 + 4*c_1100_0^6 + c_1100_0^5 - c_1100_0^4 + 3*c_1100_0^2, c_1001_0 - c_1100_0^7 - 2*c_1100_0^6 - c_1100_0^5 - 2*c_1100_0^2 - c_1100_0, c_1001_5 - c_1100_0^7 - c_1100_0^6 + 2*c_1100_0^5 + 2*c_1100_0^4 - c_1100_0^3 - 3*c_1100_0^2 + c_1100_0 + 1, c_1100_0^8 + 2*c_1100_0^7 - 2*c_1100_0^5 - c_1100_0^4 + 2*c_1100_0^3 + c_1100_0^2 - c_1100_0 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 3.450 Total time: 3.660 seconds, Total memory usage: 82.56MB