Magma V2.19-8 Wed Aug 21 2013 01:12:13 on localhost [Seed = 964634408] Type ? for help. Type -D to quit. Loading file "L14n58734__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n58734 geometric_solution 11.96188975 oriented_manifold CS_known -0.0000000000000003 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 2 2 1 2 0 1 0 -1 1 0 0 -1 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 -2 -1 3 -3 0 0 3 -1 3 0 -2 0 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.894698618338 0.639296803060 0 5 7 6 0132 0132 0132 0132 2 2 2 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 3 0 0 -3 0 -1 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.073796541155 1.162248849945 8 0 10 9 0132 0132 0132 0132 2 0 2 1 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 2 -2 0 -4 0 1 3 3 -3 0 0 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.863068554313 0.791762532613 11 4 7 0 0132 2310 0321 0132 2 2 2 2 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 0 -1 1 0 0 0 0 0 -3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.833941642342 0.511426668718 9 6 0 3 1302 1302 0132 3201 2 2 2 1 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 3 -3 0 0 0 -3 3 0 0 0 0 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.894698618338 0.639296803060 7 1 12 12 1023 0132 0132 2031 2 2 1 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 0 0 0 0 0 0 0 0 0 0 1 0 0 -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 0.073796541155 1.162248849945 11 12 1 4 2103 1230 0132 2031 2 2 1 2 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 3 -3 0 -2 0 2 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.945588538685 0.856946102724 8 5 3 1 1023 1023 0321 0132 2 2 1 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 0 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 0.214192522834 0.763690723289 2 7 10 9 0132 1023 3120 3120 2 0 1 2 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 0 0 4 0 -1 -3 0 0 0 0 -3 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.592305726174 0.412483517468 8 4 2 10 3120 2031 0132 3120 2 0 1 2 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 3 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.370838216988 0.577180948433 9 11 8 2 3120 1302 3120 0132 2 0 1 2 0 0 1 -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 0 -2 2 0 0 1 -1 0 3 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.592305726174 0.412483517468 3 12 6 10 0132 3012 2103 2031 1 2 2 2 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 3 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.659526535849 1.213937922099 11 5 6 5 1230 1302 3012 0132 2 2 2 1 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 1 -1 0 0 0 0 0 0 0 0 0 -3 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.945588538685 0.856946102724 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0011_12']), 'c_1001_10' : d['c_0101_3'], 'c_1001_12' : d['c_0011_12'], 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : d['c_0110_6'], 'c_1001_7' : d['c_0011_11'], 'c_1001_6' : d['c_1001_5'], 'c_1001_1' : d['c_0011_12'], 'c_1001_0' : negation(d['c_0110_4']), 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : d['c_0110_6'], 'c_1001_9' : negation(d['c_0110_4']), 'c_1001_8' : negation(d['c_0101_3']), 'c_1010_12' : d['c_1001_5'], 'c_1010_11' : d['c_0011_10'], 'c_1010_10' : d['c_0110_6'], 's_0_10' : 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_0'], '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' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_1001_5']), 'c_1100_4' : d['c_0011_11'], 'c_1100_7' : d['c_1001_3'], 'c_1100_6' : d['c_1001_3'], 'c_1100_1' : d['c_1001_3'], 'c_1100_0' : d['c_0011_11'], 'c_1100_3' : d['c_0011_11'], 'c_1100_2' : negation(d['c_0101_10']), 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0110_6']), 'c_1100_10' : negation(d['c_0101_10']), 's_0_11' : d['1'], 'c_1010_7' : d['c_0011_12'], 'c_1010_6' : negation(d['c_0011_10']), 'c_1010_5' : d['c_0011_12'], 'c_1010_4' : negation(d['c_1001_3']), 'c_1010_3' : negation(d['c_0110_4']), 'c_1010_2' : negation(d['c_0110_4']), 'c_1010_1' : d['c_1001_5'], 'c_1010_0' : d['c_0110_6'], 'c_1010_9' : negation(d['c_0011_10']), 'c_1010_8' : negation(d['c_0011_9']), 'c_1100_8' : negation(d['c_0101_10']), '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' : negation(d['c_1001_5']), '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' : negation(d['c_0011_10']), 'c_0011_7' : d['c_0011_0'], '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' : negation(d['c_0011_11']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_3'], 'c_0110_10' : d['c_0101_2'], 'c_0110_12' : d['c_0011_11'], 'c_0101_12' : negation(d['c_0011_10']), 'c_0110_0' : negation(d['c_0011_9']), 'c_0101_7' : negation(d['c_0101_3']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0011_11'], 'c_0101_4' : negation(d['c_0011_9']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_9']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_10'], 'c_0101_8' : d['c_0101_10'], '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_0101_0'], 'c_1100_9' : negation(d['c_0101_10']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_10'], 'c_0110_5' : d['c_0011_12'], 'c_0110_4' : d['c_0110_4'], 'c_0110_7' : negation(d['c_0011_9']), 'c_0110_6' : d['c_0110_6']})} 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_9, c_0101_0, c_0101_10, c_0101_2, c_0101_3, c_0110_4, c_0110_6, c_1001_3, c_1001_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t - 10169329/15352*c_1001_5^3 - 106461653/111302*c_1001_5^2 + 15784353/222604*c_1001_5 - 24075371/445208, c_0011_0 - 1, c_0011_10 - 1, c_0011_11 - 203/101*c_1001_5^3 - 436/101*c_1001_5^2 - 244/101*c_1001_5 - 26/101, c_0011_12 - 754/101*c_1001_5^3 - 1201/101*c_1001_5^2 + 46/101*c_1001_5 - 10/101, c_0011_9 - 1711/101*c_1001_5^3 - 2838/101*c_1001_5^2 - 556/101*c_1001_5 - 248/101, c_0101_0 - 1, c_0101_10 - 203/202*c_1001_5^3 - 218/101*c_1001_5^2 - 21/101*c_1001_5 + 75/202, c_0101_2 - 1, c_0101_3 + 406/101*c_1001_5^3 + 872/101*c_1001_5^2 + 286/101*c_1001_5 + 52/101, c_0110_4 - 406/101*c_1001_5^3 - 872/101*c_1001_5^2 - 286/101*c_1001_5 - 52/101, c_0110_6 - 1711/101*c_1001_5^3 - 2838/101*c_1001_5^2 - 556/101*c_1001_5 - 46/101, c_1001_3 - 406/101*c_1001_5^3 - 872/101*c_1001_5^2 - 84/101*c_1001_5 + 49/101, c_1001_5^4 + 54/29*c_1001_5^3 + 15/29*c_1001_5^2 + 2/29*c_1001_5 + 1/29 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.040 Total time: 0.260 seconds, Total memory usage: 32.09MB