Magma V2.19-8 Tue Aug 20 2013 23:47:29 on localhost [Seed = 2615013824] Type ? for help. Type -D to quit. Loading file "L10n27__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L10n27 geometric_solution 11.28460298 oriented_manifold CS_known -0.0000000000000005 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 1 0 1 0 0 0 0 0 0 0 0 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 -1 0 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 0.664827129806 1.193885662548 0 5 2 6 0132 0132 2103 0132 0 0 0 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 0 0 0 -1 0 1 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 1.169909896755 0.954374300282 1 0 3 7 2103 0132 0213 0132 1 0 0 1 0 0 0 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 1 0 -1 -1 0 1 0 0 0 0 0 1 1 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.584954948377 0.477187150141 8 2 9 0 0132 0213 0132 0132 1 0 0 1 0 0 0 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 0 0 0 -1 0 0 1 0 -1 0 1 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.261496682331 0.792395792252 8 9 0 10 1302 0132 0132 0132 1 0 1 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 0 -1 1 0 0 0 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 0.450590841701 0.592134069037 10 1 7 8 0132 0132 2103 1302 0 0 1 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 1 -1 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.486773457587 0.418673458239 7 7 1 11 3201 2103 0132 0132 0 0 1 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 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.518845265363 0.596528720376 5 6 2 6 2103 2103 0132 2310 1 0 0 0 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 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 0.169909896755 0.954374300282 3 4 5 10 0132 2031 2031 3201 1 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 0 0 0 1 0 0 -1 2 -1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.443954885424 0.480229028753 11 4 11 3 1023 0132 2103 0132 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 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 0.420413639078 0.755297380546 5 8 4 11 0132 2310 0132 2103 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 0 0 0 0 0 1 -1 0 0 0 0 0 -1 1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.952631542007 1.257188483921 9 9 6 10 2103 1023 0132 2103 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.639441624925 0.833298740071 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_11'], 'c_1001_10' : d['c_0011_11'], 'c_1001_5' : d['c_0011_7'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_0011_6'], 'c_1001_6' : d['c_0011_7'], 'c_1001_1' : negation(d['c_0011_0']), 'c_1001_0' : d['c_0011_6'], 'c_1001_3' : d['c_1001_2'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_0011_11'], 'c_1001_8' : negation(d['c_0101_10']), 'c_1010_11' : d['c_0101_3'], 'c_1010_10' : negation(d['c_0101_3']), 's_0_10' : d['1'], 's_3_10' : 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' : negation(d['1']), 's_2_7' : negation(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' : negation(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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_0011_11' : d['c_0011_11'], 'c_0011_10' : negation(d['c_0011_0']), 'c_1100_5' : d['c_0101_0'], 'c_1100_4' : negation(d['c_0110_11']), 'c_1100_7' : d['c_0011_6'], 'c_1100_6' : negation(d['c_0101_5']), 'c_1100_1' : negation(d['c_0101_5']), 'c_1100_0' : negation(d['c_0110_11']), 'c_1100_3' : negation(d['c_0110_11']), 'c_1100_2' : d['c_0011_6'], 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0101_5']), 'c_1100_10' : negation(d['c_0110_11']), 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0101_11']), 'c_1010_6' : d['c_0101_11'], 'c_1010_5' : negation(d['c_0011_0']), 'c_1010_4' : d['c_0011_11'], 'c_1010_3' : d['c_0011_6'], 'c_1010_2' : d['c_0011_6'], 'c_1010_1' : d['c_0011_7'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_1001_2'], 'c_1010_8' : negation(d['c_0011_11']), 'c_1100_8' : d['c_0011_0'], 's_3_1' : negation(d['1']), 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : negation(d['1']), 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_7' : negation(d['1']), 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], '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' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_11'], 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_11']), 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : d['c_0011_6'], '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_0110_11'], 'c_0110_10' : d['c_0101_5'], 'c_0110_0' : d['c_0011_3'], 'c_0101_7' : d['c_0101_5'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0011_3'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_3'], 'c_0101_1' : d['c_0011_3'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_11'], 'c_0101_8' : d['c_0101_0'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_3'], 'c_0110_8' : d['c_0101_3'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_0110_11']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_5'], 'c_0110_5' : d['c_0101_10'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : negation(d['c_0101_0']), 'c_0110_6' : d['c_0101_11']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_11, c_0011_3, c_0011_6, c_0011_7, c_0101_0, c_0101_10, c_0101_11, c_0101_3, c_0101_5, c_0110_11, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t - 88743948020/674819407*c_1001_2^6 - 64398001706/674819407*c_1001_2^5 - 443640249703/2699277628*c_1001_2^4 - 2730138945843/10797110512*c_1001_2^3 - 20560490387729/43188442048*c_1001_2^2 - 15134341128169/43188442048*c_1001_2 - 6056519598789/43188442048, c_0011_0 - 1, c_0011_11 + 1049805568/674819407*c_1001_2^6 - 978784640/674819407*c_1001_2^5 + 1246013584/674819407*c_1001_2^4 + 335061444/674819407*c_1001_2^3 + 1201083951/674819407*c_1001_2^2 - 951374912/674819407*c_1001_2 - 70393440/674819407, c_0011_3 + 369539584/674819407*c_1001_2^6 - 1076787968/674819407*c_1001_2^5 + 1039166176/674819407*c_1001_2^4 - 707572872/674819407*c_1001_2^3 - 357239902/674819407*c_1001_2^2 - 1484954270/674819407*c_1001_2 + 342416225/674819407, c_0011_6 + 1635767552/674819407*c_1001_2^6 + 709005952/674819407*c_1001_2^5 + 944012784/674819407*c_1001_2^4 + 3238288140/674819407*c_1001_2^3 + 4088013841/674819407*c_1001_2^2 + 1908613687/674819407*c_1001_2 - 624798101/674819407, c_0011_7 - 1327373088/674819407*c_1001_2^6 + 1298463344/674819407*c_1001_2^5 - 1409231158/674819407*c_1001_2^4 - 1186137223/1349638814*c_1001_2^3 - 7984050573/5398555256*c_1001_2^2 + 14096756407/5398555256*c_1001_2 + 11562540019/5398555256, c_0101_0 - 1, c_0101_10 - 369539584/674819407*c_1001_2^6 + 1076787968/674819407*c_1001_2^5 - 1039166176/674819407*c_1001_2^4 + 707572872/674819407*c_1001_2^3 + 357239902/674819407*c_1001_2^2 + 1484954270/674819407*c_1001_2 - 342416225/674819407, c_0101_11 + 1635767552/674819407*c_1001_2^6 + 709005952/674819407*c_1001_2^5 + 944012784/674819407*c_1001_2^4 + 3238288140/674819407*c_1001_2^3 + 4088013841/674819407*c_1001_2^2 + 1908613687/674819407*c_1001_2 - 624798101/674819407, c_0101_3 + 142784256/674819407*c_1001_2^6 - 1109455744/674819407*c_1001_2^5 + 970217040/674819407*c_1001_2^4 - 1055117644/674819407*c_1001_2^3 + 23078023/674819407*c_1001_2^2 - 1662814056/674819407*c_1001_2 + 704959249/674819407, c_0101_5 - 1327373088/674819407*c_1001_2^6 + 1298463344/674819407*c_1001_2^5 - 1409231158/674819407*c_1001_2^4 - 1186137223/1349638814*c_1001_2^3 - 7984050573/5398555256*c_1001_2^2 + 14096756407/5398555256*c_1001_2 + 6163984763/5398555256, c_0110_11 + 326382336/674819407*c_1001_2^6 - 541981568/674819407*c_1001_2^5 + 433238032/674819407*c_1001_2^4 + 186554148/674819407*c_1001_2^3 + 85129483/674819407*c_1001_2^2 - 1081842790/674819407*c_1001_2 - 38888443/674819407, c_1001_2^7 + 1/2*c_1001_2^6 + 19/16*c_1001_2^5 + 95/64*c_1001_2^4 + 853/256*c_1001_2^3 + 465/256*c_1001_2^2 + 141/256*c_1001_2 - 1/2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.080 Total time: 0.300 seconds, Total memory usage: 32.09MB