Magma V2.19-8 Tue Aug 20 2013 17:58:10 on localhost [Seed = 1797971770] Type ? for help. Type -D to quit. Loading file "10^2_149__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation 10^2_149 geometric_solution 12.08990115 oriented_manifold CS_known -0.0000000000000000 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 0 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 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 0.118997925868 0.610106335373 0 5 3 2 0132 0132 1023 1023 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.068094709440 0.949569415332 6 0 7 1 0132 0132 0132 1023 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0.118997925868 0.610106335373 8 9 1 0 0132 0132 1023 0132 0 0 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 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 0.573028653876 0.968883663442 9 10 0 7 3012 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 -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 0.718243522786 0.875568348154 10 1 11 12 0321 0132 0132 0132 0 0 0 1 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 0 1 -1 0 0 0 0 -1 0 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.063513916823 0.712720268790 2 10 11 7 0132 0321 3012 0321 0 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.534319703929 1.062537988661 12 6 4 2 3012 0321 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.905512252806 1.094548167094 3 10 9 12 0132 3201 1023 2031 0 0 0 1 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 0 1 -1 0 0 -1 1 0 1 0 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.205248931752 0.420515546145 11 3 8 4 0132 0132 1023 1230 0 0 0 1 0 0 0 0 1 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 0 0 -1 1 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 0.459156219044 1.771133036600 5 4 8 6 0321 0132 2310 0321 0 1 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 1 -1 0 -1 0 1 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 0.346013289872 0.789494999407 9 6 12 5 0132 1230 2103 0132 0 0 1 0 0 0 0 0 -1 0 1 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 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 0.880870722050 0.864272096541 11 8 5 7 2103 1302 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 -1 1 0 -1 0 0 1 -1 1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.871464898086 0.619763459428 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_12'], 'c_1001_10' : negation(d['c_0011_12']), 'c_1001_12' : d['c_0101_3'], 'c_1001_5' : d['c_0101_6'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : negation(d['c_0011_12']), 'c_1001_6' : negation(d['c_0011_11']), 'c_1001_1' : d['c_0101_3'], 'c_1001_0' : d['c_0101_0'], 'c_1001_3' : d['c_0101_1'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_0101_0'], 'c_1001_8' : negation(d['c_0101_10']), 'c_1010_12' : d['c_0101_7'], 'c_1010_11' : d['c_0101_6'], 'c_1010_10' : d['c_1001_2'], 's_0_10' : d['1'], 's_3_10' : negation(d['1']), 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : negation(d['1']), 's_2_9' : negation(d['1']), 'c_0101_11' : negation(d['c_0011_10']), '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' : negation(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' : negation(d['1']), 's_0_9' : d['1'], 's_0_6' : negation(d['1']), 's_0_7' : d['1'], 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_0011_11' : d['c_0011_11'], 'c_1100_8' : negation(d['c_0101_7']), 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0011_7']), 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : d['c_1100_0'], 'c_1100_6' : negation(d['c_0011_12']), 'c_1100_1' : negation(d['c_1100_0']), 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_1100_0'], 's_3_11' : d['1'], 'c_1100_9' : d['c_0101_7'], 'c_1100_11' : negation(d['c_0011_7']), 'c_1100_10' : negation(d['c_0011_11']), 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_2'], 'c_1010_6' : d['c_1001_2'], 'c_1010_5' : d['c_0101_3'], 'c_1010_4' : negation(d['c_0011_12']), 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : d['c_0101_0'], 'c_1010_1' : d['c_0101_6'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_0101_1'], 'c_1010_8' : d['c_0011_12'], 's_3_1' : d['1'], 's_3_0' : 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_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : negation(d['c_0011_7']), 's_1_7' : d['1'], 's_1_6' : negation(d['1']), 's_1_5' : d['1'], 's_1_4' : negation(d['1']), 's_1_3' : negation(d['1']), 's_1_2' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_1_9' : negation(d['1']), 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_11']), 'c_0011_8' : negation(d['c_0011_11']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : 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_11'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0101_10']), 'c_0110_10' : negation(d['c_0011_0']), 'c_0110_12' : d['c_0011_7'], 'c_0101_12' : negation(d['c_0011_10']), 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0101_10']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0011_7']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0101_10']), 'c_0101_8' : d['c_0101_0'], 'c_0011_10' : d['c_0011_10'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : negation(d['1']), 'c_0110_9' : negation(d['c_0011_10']), 'c_0110_8' : d['c_0101_3'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_6'], 'c_0110_5' : negation(d['c_0011_10']), 'c_0110_4' : d['c_0101_7'], 'c_0110_7' : negation(d['c_0011_7']), 'c_0110_6' : negation(d['c_0011_7'])})} 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_11, c_0011_12, c_0011_7, c_0101_0, c_0101_1, c_0101_10, c_0101_3, c_0101_6, c_0101_7, c_1001_2, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t + 701383/4743*c_1100_0^3 + 828185/9486*c_1100_0^2 + 6893441/9486*c_1100_0 + 1344692/4743, c_0011_0 - 1, c_0011_10 + 2/17*c_1100_0^3 + 7/17*c_1100_0^2 + 31/17*c_1100_0 + 11/17, c_0011_11 + 2/17*c_1100_0^3 + 7/17*c_1100_0^2 + 14/17*c_1100_0 + 11/17, c_0011_12 - 8/17*c_1100_0^3 + 6/17*c_1100_0^2 - 22/17*c_1100_0 - 10/17, c_0011_7 - 2/17*c_1100_0^3 - 7/17*c_1100_0^2 + 3/17*c_1100_0 - 11/17, c_0101_0 + 10/17*c_1100_0^3 + 1/17*c_1100_0^2 + 53/17*c_1100_0 + 4/17, c_0101_1 - 1, c_0101_10 - 2/17*c_1100_0^3 - 7/17*c_1100_0^2 - 14/17*c_1100_0 - 11/17, c_0101_3 + 4/17*c_1100_0^3 + 14/17*c_1100_0^2 + 11/17*c_1100_0 - 12/17, c_0101_6 + 4/17*c_1100_0^3 - 3/17*c_1100_0^2 + 28/17*c_1100_0 + 5/17, c_0101_7 + 8/17*c_1100_0^3 - 6/17*c_1100_0^2 + 39/17*c_1100_0 + 10/17, c_1001_2 + 2/17*c_1100_0^3 + 7/17*c_1100_0^2 - 3/17*c_1100_0 + 11/17, c_1100_0^4 + 1/2*c_1100_0^3 + 5*c_1100_0^2 + 3/2*c_1100_0 + 1/2 ], Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_12, c_0011_7, c_0101_0, c_0101_1, c_0101_10, c_0101_3, c_0101_6, c_0101_7, c_1001_2, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 9828486/2411*c_1100_0^5 - 17748054/2411*c_1100_0^4 - 37830321/2411*c_1100_0^3 - 21342973/2411*c_1100_0^2 - 7624510/2411*c_1100_0 + 5763328/2411, c_0011_0 - 1, c_0011_10 + 2592/2411*c_1100_0^5 + 6381/2411*c_1100_0^4 + 13461/2411*c_1100_0^3 + 12902/2411*c_1100_0^2 + 6619/2411*c_1100_0 + 1196/2411, c_0011_11 - 198/2411*c_1100_0^5 - 2145/2411*c_1100_0^4 - 4695/2411*c_1100_0^3 - 22747/7233*c_1100_0^2 - 6215/2411*c_1100_0 - 475/7233, c_0011_12 + 1584/2411*c_1100_0^5 + 2694/2411*c_1100_0^4 + 6217/2411*c_1100_0^3 + 4402/2411*c_1100_0^2 + 3911/2411*c_1100_0 + 463/2411, c_0011_7 + 4014/2411*c_1100_0^5 + 7320/2411*c_1100_0^4 + 13864/2411*c_1100_0^3 + 7155/2411*c_1100_0^2 + 623/2411*c_1100_0 - 2635/2411, c_0101_0 - 1818/2411*c_1100_0^5 - 5229/2411*c_1100_0^4 - 9793/2411*c_1100_0^3 - 28253/7233*c_1100_0^2 - 1612/2411*c_1100_0 + 3310/7233, c_0101_1 - 1, c_0101_10 - 195/2411*c_1100_0^5 - 907/2411*c_1100_0^4 - 6529/7233*c_1100_0^3 - 12941/7233*c_1100_0^2 - 7513/7233*c_1100_0 - 3719/7233, c_0101_3 + 8343/2411*c_1100_0^5 + 14436/2411*c_1100_0^4 + 31800/2411*c_1100_0^3 + 17569/2411*c_1100_0^2 + 7517/2411*c_1100_0 - 5493/2411, c_0101_6 - 3/2411*c_1100_0^5 - 1238/2411*c_1100_0^4 - 7556/7233*c_1100_0^3 - 9806/7233*c_1100_0^2 - 11132/7233*c_1100_0 + 3244/7233, c_0101_7 + 8343/2411*c_1100_0^5 + 14436/2411*c_1100_0^4 + 31800/2411*c_1100_0^3 + 17569/2411*c_1100_0^2 + 5106/2411*c_1100_0 - 5493/2411, c_1001_2 + 6606/2411*c_1100_0^5 + 13701/2411*c_1100_0^4 + 27325/2411*c_1100_0^3 + 20057/2411*c_1100_0^2 + 7242/2411*c_1100_0 - 1439/2411, c_1100_0^6 + 5/3*c_1100_0^5 + 32/9*c_1100_0^4 + 14/9*c_1100_0^3 + 1/3*c_1100_0^2 - 7/9*c_1100_0 + 1/9 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.290 Total time: 0.500 seconds, Total memory usage: 32.09MB