Magma V2.19-8 Tue Aug 20 2013 18:13:11 on localhost [Seed = 3153723421] Type ? for help. Type -D to quit. Loading file "10^3_29__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation 10^3_29 geometric_solution 13.46395467 oriented_manifold CS_known -0.0000000000000001 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 15 1 2 3 4 0132 0132 0132 0132 0 1 2 1 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 1 -1 -1 0 1 0 0 -1 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.419985194747 0.964344941156 0 5 3 6 0132 0132 0213 0132 0 1 1 2 0 0 1 -1 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 -3 3 1 0 -1 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 1.104168555728 0.953264904616 7 0 8 4 0132 0132 0132 0213 0 1 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 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 -0.030432228848 0.471477437907 9 1 6 0 0132 0213 0132 0132 0 1 1 2 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 3 -2 -1 1 0 0 -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 0.321800715663 0.515929684828 9 7 0 2 1302 0132 0132 0213 0 1 1 2 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.830978229448 0.568730678742 9 1 10 11 3120 0132 0132 0132 0 1 2 1 0 0 0 0 0 0 1 -1 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 -1 0 1 0 -1 0 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.104168555728 0.953264904616 12 11 1 3 0132 0132 0132 0132 0 1 2 1 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 1 -3 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 0.692388687743 0.665983919577 2 4 8 13 0132 0132 0321 0132 0 1 2 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 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 0.879856446191 0.673796124862 12 13 7 2 1230 0132 0321 0132 0 1 2 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 -1.312289549694 1.553254779031 3 4 12 5 0132 2031 0132 3120 1 1 2 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 0 0 0 0 0 0 -1 0 0 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 0.186171805578 0.854522209470 14 11 13 5 0132 0321 0132 0132 0 1 1 1 0 0 0 0 0 0 1 -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 -1 1 0 0 0 1 -1 -1 0 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.933981634567 0.710512177594 14 6 5 10 3120 0132 0132 0321 0 1 1 2 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 -1 0 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 0.692388687743 0.665983919577 6 8 14 9 0132 3012 3120 0132 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.447125315175 0.833473998638 14 8 7 10 1230 0132 0132 0132 0 1 1 2 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 1 -1 1 0 0 -1 1 0 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.062976659824 0.816038154326 10 13 12 11 0132 3012 3120 3120 2 1 1 1 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 -1 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.788492854362 0.479988213008 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_14' : negation(d['c_0011_13']), 'c_1001_11' : d['c_1001_1'], 'c_1001_10' : d['c_1001_10'], 'c_1001_13' : d['c_1001_13'], 'c_1001_12' : d['c_0011_13'], 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : d['c_1001_13'], 'c_1001_7' : d['c_1001_7'], 'c_1001_6' : d['c_1001_5'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_1'], 'c_1001_2' : d['c_1001_13'], 'c_1001_9' : d['c_0101_7'], 'c_1001_8' : d['c_1001_10'], 'c_1010_13' : d['c_1001_10'], 'c_1010_12' : d['c_0101_7'], 'c_1010_11' : d['c_1001_5'], 'c_1010_10' : d['c_1001_5'], 'c_1010_14' : negation(d['c_0011_11']), 's_0_10' : d['1'], 's_0_11' : d['1'], 's_0_12' : d['1'], 's_0_13' : d['1'], 's_0_14' : d['1'], 's_3_14' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : negation(d['c_0011_10']), 'c_0101_14' : d['c_0101_14'], '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_13' : 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' : negation(d['1']), 's_0_5' : negation(d['1']), 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_0011_14' : negation(d['c_0011_10']), 'c_0011_11' : d['c_0011_11'], 'c_1100_8' : d['c_1001_7'], 'c_0011_13' : d['c_0011_13'], 'c_0011_12' : d['c_0011_11'], 'c_1100_5' : d['c_1001_10'], 'c_1100_4' : d['c_1001_0'], 'c_1100_7' : d['c_1001_10'], 'c_1100_6' : d['c_1001_0'], 'c_1100_1' : d['c_1001_0'], 'c_1100_0' : d['c_1001_0'], 'c_1100_3' : d['c_1001_0'], 'c_1100_2' : d['c_1001_7'], 'c_1100_14' : negation(d['c_0101_11']), 'c_1100_11' : d['c_1001_10'], 'c_1100_10' : d['c_1001_10'], 'c_1100_13' : d['c_1001_10'], 's_3_10' : d['1'], 's_3_13' : d['1'], 'c_1010_7' : d['c_1001_13'], 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : d['c_1001_1'], 's_3_12' : d['1'], '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_1001_13'], 'c_1010_9' : negation(d['c_0011_0']), 'c_1010_8' : d['c_1001_13'], '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' : negation(d['1']), 's_3_8' : d['1'], 'c_1100_12' : negation(d['c_0101_14']), 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : negation(d['1']), 's_1_0' : d['1'], 's_3_11' : d['1'], 's_1_9' : negation(d['1']), 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_3']), 'c_0011_8' : negation(d['c_0011_13']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_0']), 'c_0101_13' : d['c_0011_11'], 'c_0011_6' : negation(d['c_0011_11']), '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' : negation(d['c_0011_10']), 'c_0110_10' : d['c_0101_14'], 'c_0110_13' : negation(d['c_0011_10']), 'c_0110_12' : d['c_0101_0'], 'c_0110_14' : negation(d['c_0011_10']), 'c_1010_4' : d['c_1001_7'], 'c_0101_12' : d['c_0101_11'], 'c_0011_7' : d['c_0011_0'], 'c_0110_0' : d['c_0011_3'], 's_2_14' : d['1'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_14'], 'c_0101_4' : d['c_0011_3'], 'c_0101_3' : d['c_0101_11'], 'c_0101_2' : d['c_0011_11'], 'c_0101_1' : d['c_0011_3'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_0'], 'c_0101_8' : negation(d['c_0101_7']), 'c_0011_10' : d['c_0011_10'], 's_1_14' : d['1'], 's_1_13' : d['1'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_11'], 'c_0110_8' : d['c_0011_11'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_0101_14']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_7'], 'c_0110_5' : d['c_0101_11'], 'c_0110_4' : negation(d['c_0101_7']), 'c_0110_7' : d['c_0011_11'], 'c_0110_6' : d['c_0101_11']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 16 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_13, c_0011_3, c_0101_0, c_0101_11, c_0101_14, c_0101_7, c_1001_0, c_1001_1, c_1001_10, c_1001_13, c_1001_5, c_1001_7 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 3 Groebner basis: [ t - 103/4256*c_1001_5^2 + 25/2128*c_1001_5 + 111/2128, c_0011_0 - 1, c_0011_10 + 1, c_0011_11 + c_1001_5 + 1, c_0011_13 + 2*c_1001_5 + 1, c_0011_3 + c_1001_5 - 1, c_0101_0 - 1, c_0101_11 + c_1001_5^2, c_0101_14 - c_1001_5 - 1, c_0101_7 + 1, c_1001_0 - 1, c_1001_1 + c_1001_5^2 - c_1001_5 + 1, c_1001_10 - 1, c_1001_13 - c_1001_5, c_1001_5^3 - c_1001_5^2 - 2, c_1001_7 - 1 ], Ideal of Polynomial ring of rank 16 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_13, c_0011_3, c_0101_0, c_0101_11, c_0101_14, c_0101_7, c_1001_0, c_1001_1, c_1001_10, c_1001_13, c_1001_5, c_1001_7 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 5/3107*c_1001_7^5 + 1267/3107*c_1001_7^4 + 734/3107*c_1001_7^3 + 1402/3107*c_1001_7^2 - 2690/3107*c_1001_7 + 399/3107, c_0011_0 - 1, c_0011_10 - 102/239*c_1001_7^5 - 252/239*c_1001_7^4 - 896/239*c_1001_7^3 - 1083/239*c_1001_7^2 - 862/239*c_1001_7 + 157/239, c_0011_11 - 47/239*c_1001_7^5 - 88/239*c_1001_7^4 - 366/239*c_1001_7^3 - 253/239*c_1001_7^2 - 191/239*c_1001_7 + 309/239, c_0011_13 + 8/239*c_1001_7^5 + 76/239*c_1001_7^4 + 164/239*c_1001_7^3 + 577/239*c_1001_7^2 + 480/239*c_1001_7 + 461/239, c_0011_3 - 70/239*c_1001_7^5 - 187/239*c_1001_7^4 - 718/239*c_1001_7^3 - 926/239*c_1001_7^2 - 1093/239*c_1001_7 - 150/239, c_0101_0 - 1, c_0101_11 + 58/239*c_1001_7^5 + 73/239*c_1001_7^4 + 472/239*c_1001_7^3 + 180/239*c_1001_7^2 + 612/239*c_1001_7 - 422/239, c_0101_14 + 47/239*c_1001_7^5 + 88/239*c_1001_7^4 + 366/239*c_1001_7^3 + 253/239*c_1001_7^2 + 191/239*c_1001_7 - 309/239, c_0101_7 + 62/239*c_1001_7^5 + 111/239*c_1001_7^4 + 554/239*c_1001_7^3 + 588/239*c_1001_7^2 + 852/239*c_1001_7 - 72/239, c_1001_0 - 1, c_1001_1 + 128/239*c_1001_7^5 + 260/239*c_1001_7^4 + 1190/239*c_1001_7^3 + 1106/239*c_1001_7^2 + 1705/239*c_1001_7 - 272/239, c_1001_10 - 53/239*c_1001_7^5 - 145/239*c_1001_7^4 - 489/239*c_1001_7^3 - 626/239*c_1001_7^2 - 551/239*c_1001_7 + 262/239, c_1001_13 + 70/239*c_1001_7^5 + 187/239*c_1001_7^4 + 718/239*c_1001_7^3 + 926/239*c_1001_7^2 + 1093/239*c_1001_7 - 89/239, c_1001_5 + 70/239*c_1001_7^5 + 187/239*c_1001_7^4 + 718/239*c_1001_7^3 + 926/239*c_1001_7^2 + 1093/239*c_1001_7 - 89/239, c_1001_7^6 + 2*c_1001_7^5 + 9*c_1001_7^4 + 8*c_1001_7^3 + 12*c_1001_7^2 - 4*c_1001_7 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.190 Total time: 0.400 seconds, Total memory usage: 32.09MB