Magma V2.19-8 Wed Aug 21 2013 00:53:05 on localhost [Seed = 3516384329] Type ? for help. Type -D to quit. Loading file "L12n1231__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n1231 geometric_solution 11.85554320 oriented_manifold CS_known 0.0000000000000000 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 1 3 0132 0132 2031 0132 1 1 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 0 0 0 0 -1 1 0 0 0 0 -1 3 0 -2 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.941591487890 1.354077501772 0 4 5 0 0132 0132 0132 1302 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 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 0.653841982830 0.497800573960 3 0 6 5 0213 0132 0132 1302 1 0 1 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 -1 1 0 1 0 -1 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.570986776670 0.737701753908 2 7 0 8 0213 0132 0132 0132 1 1 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 -1 1 0 0 0 0 0 0 0 0 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.032255836043 0.730072286272 9 1 8 10 0132 0132 1230 0132 1 0 1 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 0 0 0 0 0 0 0 0 4 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.645742012065 0.456706884698 9 11 2 1 1230 0132 2031 0132 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 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 0 0 -1 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.474875474688 1.792526212405 10 12 9 2 3201 0132 2031 0132 1 0 1 0 0 0 0 0 0 0 0 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 0 0 0 0 -1 0 0 1 3 0 0 -3 0 5 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.356247051589 1.018946278161 11 3 9 12 3201 0132 3120 0132 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 1 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.556848269204 0.701430273632 12 11 3 4 0321 3012 0132 3012 1 1 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 1 -1 0 0 0 0 0 -4 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.295620972260 0.621680079585 4 5 7 6 0132 3012 3120 1302 0 0 1 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 -4 0 -1 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.034393675315 0.541929885539 12 11 4 6 3120 0213 0132 2310 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 0 0 0 0 0 0 0 0 3 0 -3 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 0.305748556184 0.874509282217 8 5 10 7 1230 0132 0213 2310 1 0 0 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 -1 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.305748556184 0.874509282217 8 6 7 10 0321 0132 0132 3120 1 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 0 0 0 0 4 -5 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.305748556184 0.874509282217 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_1'], 'c_1001_10' : d['c_1001_1'], 'c_1001_12' : d['c_1001_12'], 'c_1001_5' : negation(d['c_0101_12']), 'c_1001_4' : d['c_1001_4'], 'c_1001_7' : negation(d['c_0011_11']), 'c_1001_6' : negation(d['c_0011_10']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : negation(d['c_0101_0']), 'c_1001_3' : d['c_1001_12'], 'c_1001_2' : d['c_1001_12'], 'c_1001_9' : d['c_0011_11'], 'c_1001_8' : negation(d['c_0011_11']), 'c_1010_12' : negation(d['c_0011_10']), 'c_1010_11' : negation(d['c_0101_12']), 'c_1010_10' : negation(d['c_0011_3']), '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'], 'c_0101_12' : d['c_0101_12'], 'c_0101_11' : 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' : negation(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' : negation(d['1']), 's_0_6' : d['1'], 's_0_7' : negation(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_11' : d['c_0011_11'], 'c_1100_8' : negation(d['c_1001_4']), 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0101_0'], 'c_1100_4' : negation(d['c_0011_12']), 'c_1100_7' : negation(d['c_0101_10']), 'c_1100_6' : d['c_0101_5'], 'c_1100_1' : d['c_0101_0'], 'c_1100_0' : negation(d['c_1001_4']), 'c_1100_3' : negation(d['c_1001_4']), 'c_1100_2' : d['c_0101_5'], 's_3_11' : negation(d['1']), 'c_1100_11' : negation(d['c_0011_3']), 'c_1100_10' : negation(d['c_0011_12']), 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_12'], 'c_1010_6' : d['c_1001_12'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_1001_1'], 'c_1010_3' : negation(d['c_0011_11']), 'c_1010_2' : negation(d['c_0101_0']), 'c_1010_1' : d['c_1001_4'], 'c_1010_0' : d['c_1001_12'], 'c_1010_9' : negation(d['c_0101_5']), 'c_1010_8' : negation(d['c_0011_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' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : negation(d['c_0101_10']), 's_1_7' : negation(d['1']), 's_1_6' : d['1'], 's_1_5' : negation(d['1']), 's_1_4' : negation(d['1']), 's_1_3' : negation(d['1']), 's_1_2' : d['1'], 's_1_1' : negation(d['1']), 's_1_0' : d['1'], 's_1_9' : negation(d['1']), 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_0']), 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : negation(d['c_0011_11']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_3']), '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' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0011_8'], 'c_0110_10' : negation(d['c_0011_8']), 'c_0110_12' : negation(d['c_0011_8']), 'c_0110_0' : negation(d['c_0011_0']), 'c_0101_7' : negation(d['c_0011_8']), 'c_0101_6' : d['c_0011_8'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0011_10'], 'c_0101_3' : negation(d['c_0011_0']), 'c_0101_2' : d['c_0011_3'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_10'], 'c_0101_8' : negation(d['c_0101_12']), 'c_0011_10' : d['c_0011_10'], 's_1_12' : d['1'], 's_1_11' : negation(d['1']), 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_10'], 'c_0110_8' : negation(d['c_0011_12']), 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_0011_8'], 'c_0110_3' : negation(d['c_0101_12']), 'c_0110_2' : d['c_0101_12'], 'c_0110_5' : negation(d['c_0011_0']), 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0101_12'], 'c_0110_6' : d['c_0011_3'], 's_2_9' : d['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_3, c_0011_8, c_0101_0, c_0101_10, c_0101_12, c_0101_5, c_1001_1, c_1001_12, c_1001_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 18657106357313/272362553889602800*c_1001_4^7 - 227307212271/1602132669938840*c_1001_4^6 - 1039036805331/2095096568381560*c_1001_4^5 - 8341470167363/8010663349694200*c_1001_4^4 + 2700074149389841/272362553889602800*c_1001_4^3 + 137277498166786/17022659618100175*c_1001_4^2 - 5784148528650607/272362553889602800*c_1001_4 + 4339201706870291/136181276944801400, c_0011_0 - 1, c_0011_10 + 1797/1745156*c_1001_4^7 - 949/872578*c_1001_4^6 - 2656/436289*c_1001_4^5 - 16718/436289*c_1001_4^4 + 170161/1745156*c_1001_4^3 + 116728/436289*c_1001_4^2 + 109759/249308*c_1001_4 + 177578/436289, c_0011_11 - 4127973/31507919002*c_1001_4^7 + 39681909/15753959501*c_1001_4^6 - 7608281/15753959501*c_1001_4^5 - 247526488/15753959501*c_1001_4^4 - 3218072497/31507919002*c_1001_4^3 + 4304579715/15753959501*c_1001_4^2 + 5314164879/4501131286*c_1001_4 + 1453507719/15753959501, c_0011_12 - 45912799/63015838004*c_1001_4^7 - 19244927/15753959501*c_1001_4^6 + 528175887/31507919002*c_1001_4^5 + 897097295/31507919002*c_1001_4^4 - 6174798947/63015838004*c_1001_4^3 - 17503009959/31507919002*c_1001_4^2 + 1406087395/9002262572*c_1001_4 + 14314184012/15753959501, c_0011_3 - 1, c_0011_8 + 137649887/63015838004*c_1001_4^7 - 33318694/15753959501*c_1001_4^6 - 414589463/15753959501*c_1001_4^5 - 856593874/15753959501*c_1001_4^4 + 20609772173/63015838004*c_1001_4^3 + 24756021047/31507919002*c_1001_4^2 - 4722334997/9002262572*c_1001_4 - 25849359449/15753959501, c_0101_0 + 111015379/63015838004*c_1001_4^7 - 27978777/15753959501*c_1001_4^6 - 479605045/31507919002*c_1001_4^5 - 1593844835/31507919002*c_1001_4^4 + 14282898419/63015838004*c_1001_4^3 + 14083889963/31507919002*c_1001_4^2 + 3355392813/9002262572*c_1001_4 + 11107373565/15753959501, c_0101_10 + 1797/1745156*c_1001_4^7 - 949/872578*c_1001_4^6 - 2656/436289*c_1001_4^5 - 16718/436289*c_1001_4^4 + 170161/1745156*c_1001_4^3 + 116728/436289*c_1001_4^2 + 109759/249308*c_1001_4 + 177578/436289, c_0101_12 - 1, c_0101_5 + 14679919/9002262572*c_1001_4^7 + 1671876/2250565643*c_1001_4^6 - 70688801/4501131286*c_1001_4^5 - 298413973/4501131286*c_1001_4^4 + 1120964775/9002262572*c_1001_4^3 + 3241864199/4501131286*c_1001_4^2 + 4981459999/9002262572*c_1001_4 + 1794411612/2250565643, c_1001_1 - 4127973/31507919002*c_1001_4^7 + 39681909/15753959501*c_1001_4^6 - 7608281/15753959501*c_1001_4^5 - 247526488/15753959501*c_1001_4^4 - 3218072497/31507919002*c_1001_4^3 + 4304579715/15753959501*c_1001_4^2 + 813033593/4501131286*c_1001_4 + 1453507719/15753959501, c_1001_12 - 4127973/31507919002*c_1001_4^7 + 39681909/15753959501*c_1001_4^6 - 7608281/15753959501*c_1001_4^5 - 247526488/15753959501*c_1001_4^4 - 3218072497/31507919002*c_1001_4^3 + 4304579715/15753959501*c_1001_4^2 + 813033593/4501131286*c_1001_4 + 1453507719/15753959501, c_1001_4^8 - 10*c_1001_4^6 - 34*c_1001_4^5 + 97*c_1001_4^4 + 382*c_1001_4^3 + 241*c_1001_4^2 + 304*c_1001_4 + 1360 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.100 Total time: 0.310 seconds, Total memory usage: 32.09MB