Magma V2.19-8 Wed Aug 21 2013 01:00:46 on localhost [Seed = 3203966378] Type ? for help. Type -D to quit. Loading file "L13n9831__sl2_c4.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n9831 geometric_solution 12.20222078 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 1 1 2 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 -1 1 0 0 -1 4 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.476248879858 0.516490828289 0 3 6 5 0132 1023 0132 0132 1 1 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 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 1 0 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.209118301358 1.468855613786 7 0 9 8 0132 0132 0132 0132 1 2 0 2 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 1 -1 0 0 0 0 0 3 -4 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.105802017592 1.358524030284 1 7 6 0 1023 0132 1302 0132 1 1 0 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 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 0.393002047289 0.982654901532 7 10 0 11 3012 0132 0132 0132 1 1 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 -2 -1 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 0.406669011395 0.455983596305 9 9 1 10 1023 0213 0132 1023 1 1 2 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 -1 0 0 0 0 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 0.860618015697 0.856540485051 3 11 12 1 2031 0132 0132 0132 1 1 2 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 -1 0 1 0 0 0 0 0 -1 0 1 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.447604635036 0.500280873129 2 3 8 4 0132 0132 0213 1230 1 2 2 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 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.324268428215 0.580868821206 9 7 2 10 0213 0213 0132 1230 1 2 2 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 0 0 0 0 -1 0 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.324268428215 0.580868821206 8 5 5 2 0213 1023 0213 0132 1 2 2 0 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 -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 0.185080376148 1.137369624577 8 4 11 5 3012 0132 2103 1023 1 1 2 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 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 0.731292858225 0.978917079264 10 6 4 12 2103 0132 0132 3012 1 1 1 2 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 0 0 0 1 -3 2 0 0 0 0 2 -2 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.994551478848 0.900722768088 12 12 11 6 1302 2031 1230 0132 1 1 1 1 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 0 0 0 0 0 0 0 0 -2 0 2 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.386872300891 0.930917804651 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_11'], 'c_1001_10' : d['c_0011_11'], 'c_1001_12' : negation(d['c_0101_6']), 'c_1001_5' : d['c_0101_0'], 'c_1001_4' : d['c_0110_5'], 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : d['c_0011_12'], 'c_1001_1' : d['c_0011_11'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0101_1'], 'c_1001_2' : d['c_0110_5'], 'c_1001_9' : d['c_0101_0'], 'c_1001_8' : d['c_1001_0'], 'c_1010_12' : d['c_0011_12'], 'c_1010_11' : d['c_0011_12'], 'c_1010_10' : d['c_0110_5'], '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_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' : d['1'], 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : negation(d['1']), 's_0_4' : negation(d['1']), 's_0_5' : d['1'], 's_0_2' : negation(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_1100_8' : d['c_0110_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0110_11'], 'c_1100_4' : d['c_0101_6'], 'c_1100_7' : d['c_0101_10'], 'c_1100_6' : d['c_0110_11'], 'c_1100_1' : d['c_0110_11'], 'c_1100_0' : d['c_0101_6'], 'c_1100_3' : d['c_0101_6'], 'c_1100_2' : d['c_0110_10'], 's_0_10' : d['1'], 'c_1100_9' : d['c_0110_10'], 'c_1100_11' : d['c_0101_6'], 'c_1100_10' : negation(d['c_0110_11']), 's_0_11' : d['1'], 'c_1010_7' : d['c_0101_1'], 'c_1010_6' : d['c_0011_11'], 'c_1010_5' : d['c_0110_10'], 'c_1010_4' : d['c_0011_11'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0101_0'], 'c_1010_0' : d['c_0110_5'], 'c_1010_9' : d['c_0110_5'], 'c_1010_8' : d['c_0101_10'], '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' : negation(d['1']), 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : d['c_0110_11'], '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_5'], 'c_0011_8' : d['c_0011_5'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : d['c_0011_0'], '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' : negation(d['c_0011_0']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0110_11'], 'c_0110_10' : d['c_0110_10'], 'c_0110_12' : d['c_0101_6'], 'c_0101_12' : negation(d['c_0011_12']), 'c_0101_7' : d['c_0011_5'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0011_11'], 'c_0101_2' : negation(d['c_0011_10']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_5'], 'c_0101_8' : d['c_0011_5'], 'c_0011_10' : d['c_0011_10'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_10']), 'c_0110_8' : d['c_0011_10'], '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_0011_5'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : negation(d['c_0011_10']), 'c_0110_6' : d['c_0101_1']})} 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_5, c_0101_0, c_0101_1, c_0101_10, c_0101_6, c_0110_10, c_0110_11, c_0110_5, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 944715697692/88925269139*c_1001_0^9 + 1692977624700/88925269139*c_1001_0^8 + 1013642509001/12703609877*c_1001_0^7 - 10256363703776/88925269139*c_1001_0^6 - 21619907160829/88925269139*c_1001_0^5 + 644018982108/2868557069*c_1001_0^4 + 27150362476690/88925269139*c_1001_0^3 - 20216024101446/88925269139*c_1001_0^2 - 13629055950387/88925269139*c_1001_0 + 9531118558837/88925269139, c_0011_0 - 1, c_0011_10 + 590144/2018689*c_1001_0^9 - 607356/2018689*c_1001_0^8 - 5525656/2018689*c_1001_0^7 + 4127539/2018689*c_1001_0^6 + 18670913/2018689*c_1001_0^5 - 219129/65119*c_1001_0^4 - 25363837/2018689*c_1001_0^3 + 6521900/2018689*c_1001_0^2 + 16304790/2018689*c_1001_0 - 2833007/2018689, c_0011_11 - 2147876/2018689*c_1001_0^9 + 5182236/2018689*c_1001_0^8 + 14588841/2018689*c_1001_0^7 - 34594510/2018689*c_1001_0^6 - 41691051/2018689*c_1001_0^5 + 2707408/65119*c_1001_0^4 + 56103987/2018689*c_1001_0^3 - 99302024/2018689*c_1001_0^2 - 31937278/2018689*c_1001_0 + 52300728/2018689, c_0011_12 + 9406532/2018689*c_1001_0^9 - 21427468/2018689*c_1001_0^8 - 65511489/2018689*c_1001_0^7 + 138006082/2018689*c_1001_0^6 + 196152611/2018689*c_1001_0^5 - 10124528/65119*c_1001_0^4 - 275181589/2018689*c_1001_0^3 + 337082727/2018689*c_1001_0^2 + 152984189/2018689*c_1001_0 - 163636216/2018689, c_0011_5 + 1163076/2018689*c_1001_0^9 - 2427400/2018689*c_1001_0^8 - 7380269/2018689*c_1001_0^7 + 12769473/2018689*c_1001_0^6 + 21238841/2018689*c_1001_0^5 - 727763/65119*c_1001_0^4 - 26231092/2018689*c_1001_0^3 + 22058694/2018689*c_1001_0^2 + 13838561/2018689*c_1001_0 - 9247953/2018689, c_0101_0 - 1, c_0101_1 - 1, c_0101_10 - 1, c_0101_6 + 1261392/2018689*c_1001_0^9 - 3312492/2018689*c_1001_0^8 - 7289072/2018689*c_1001_0^7 + 20212291/2018689*c_1001_0^6 + 18094462/2018689*c_1001_0^5 - 1480696/65119*c_1001_0^4 - 19905094/2018689*c_1001_0^3 + 52879069/2018689*c_1001_0^2 + 8376769/2018689*c_1001_0 - 28330170/2018689, c_0110_10 - 572932/2018689*c_1001_0^9 + 1820044/2018689*c_1001_0^8 + 1854613/2018689*c_1001_0^7 - 8641934/2018689*c_1001_0^6 - 2567928/2018689*c_1001_0^5 + 508634/65119*c_1001_0^4 + 867255/2018689*c_1001_0^3 - 15536794/2018689*c_1001_0^2 + 2466229/2018689*c_1001_0 + 6414946/2018689, c_0110_11 - 2147876/2018689*c_1001_0^9 + 5182236/2018689*c_1001_0^8 + 14588841/2018689*c_1001_0^7 - 34594510/2018689*c_1001_0^6 - 41691051/2018689*c_1001_0^5 + 2707408/65119*c_1001_0^4 + 56103987/2018689*c_1001_0^3 - 99302024/2018689*c_1001_0^2 - 31937278/2018689*c_1001_0 + 54319417/2018689, c_0110_5 - 1261392/2018689*c_1001_0^9 + 3312492/2018689*c_1001_0^8 + 7289072/2018689*c_1001_0^7 - 20212291/2018689*c_1001_0^6 - 18094462/2018689*c_1001_0^5 + 1480696/65119*c_1001_0^4 + 19905094/2018689*c_1001_0^3 - 52879069/2018689*c_1001_0^2 - 6358080/2018689*c_1001_0 + 28330170/2018689, c_1001_0^10 - 3*c_1001_0^9 - 21/4*c_1001_0^8 + 39/2*c_1001_0^7 + 10*c_1001_0^6 - 95/2*c_1001_0^5 - 19/4*c_1001_0^4 + 111/2*c_1001_0^3 - 39/4*c_1001_0^2 - 113/4*c_1001_0 + 49/4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.060 Total time: 0.260 seconds, Total memory usage: 32.09MB