Magma V2.19-8 Wed Aug 21 2013 00:53:47 on localhost [Seed = 3137122096] Type ? for help. Type -D to quit. Loading file "L12n1907__sl2_c4.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n1907 geometric_solution 12.07764776 oriented_manifold CS_known -0.0000000000000004 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 0 2 2 1 0 0 1 -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 1 0 -1 -1 0 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 0.414066646582 0.850246949760 0 2 6 5 0132 0213 0132 0132 0 2 1 2 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 1 0 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.905989847871 0.770962949113 7 0 1 8 0132 0132 0213 0132 0 1 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 -1 0 1 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 0.452994923935 0.385481474556 9 5 10 0 0132 0321 0132 0132 0 2 1 2 0 1 0 -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 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 -0.131326715621 0.834523319648 11 12 0 10 0132 0132 0132 0132 0 2 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 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 -0.455730545321 0.845155281978 8 12 1 3 0213 0213 0132 0321 0 2 1 1 0 1 0 -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 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 0.221510105423 0.860813797216 9 12 8 1 2103 0321 0213 0132 0 2 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 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.414066646582 0.850246949760 2 11 12 11 0132 2103 2103 1302 2 1 2 1 0 0 0 0 -1 0 1 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 -1 -1 0 2 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.505597568530 0.545250022137 5 6 2 10 0213 0213 0132 0321 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 -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 0.719631282284 1.089545147643 3 10 6 11 0132 1023 2103 2103 2 2 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 1 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 0.168665851274 0.789324694472 9 8 4 3 1023 0321 0132 0132 0 2 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 1 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 0.255694929401 1.278234655550 4 7 7 9 0132 2103 2031 2103 2 2 2 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 1 -2 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 0.085597128092 0.986116661122 7 4 5 6 2103 0132 0213 0321 0 1 2 1 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 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 0.335752662856 1.008556775200 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_0'], 'c_1001_10' : d['c_1001_10'], 'c_1001_12' : d['c_1001_10'], 'c_1001_5' : d['c_1001_10'], 'c_1001_4' : d['c_1001_1'], 'c_1001_7' : d['c_0011_11'], 'c_1001_6' : d['c_1001_0'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : d['c_1001_1'], 'c_1001_9' : d['c_0011_6'], 'c_1001_8' : d['c_1001_0'], 'c_1010_12' : d['c_1001_1'], 'c_1010_11' : negation(d['c_0101_3']), 'c_1010_10' : d['c_1001_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'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0011_6'], 'c_0101_10' : d['c_0011_6'], 's_2_0' : negation(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' : negation(d['1']), 's_0_6' : d['1'], 's_0_7' : d['1'], 's_0_4' : negation(d['1']), 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_0011_11' : d['c_0011_11'], 'c_1100_8' : d['c_1001_10'], 'c_0011_12' : d['c_0011_11'], 'c_1100_5' : d['c_1001_3'], 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : d['c_0011_6'], 'c_1100_6' : d['c_1001_3'], 'c_1100_1' : d['c_1001_3'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_1001_10'], 's_3_11' : negation(d['1']), 'c_1100_11' : negation(d['c_0101_3']), 'c_1100_10' : d['c_1100_0'], 's_0_11' : negation(d['1']), 'c_1010_7' : d['c_0101_3'], 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : d['c_1001_0'], 'c_1010_4' : d['c_1001_10'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_10'], 'c_1010_0' : d['c_1001_1'], 'c_1010_9' : d['c_0101_3'], 'c_1010_8' : d['c_1001_3'], 's_3_1' : d['1'], 's_3_0' : negation(d['1']), 's_3_3' : negation(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' : d['c_1001_0'], '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_10'], 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_11']), 'c_0011_7' : d['c_0011_0'], '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' : negation(d['c_0011_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_1'], 'c_0110_10' : d['c_0101_3'], 'c_0110_12' : negation(d['c_0011_6']), 'c_0101_12' : d['c_0011_5'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0011_5'], 'c_0101_6' : d['c_0011_8'], 'c_0101_5' : d['c_0011_8'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0011_0']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_8'], 'c_0101_9' : d['c_0011_8'], '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' : d['c_0101_3'], 'c_0110_8' : negation(d['c_0011_10']), 'c_0110_1' : d['c_0011_8'], 'c_1100_9' : negation(d['c_0101_1']), 'c_0110_3' : d['c_0011_8'], 'c_0110_2' : d['c_0011_5'], 'c_0110_5' : d['c_0011_10'], 'c_0110_4' : d['c_0011_6'], 'c_0110_7' : negation(d['c_0011_0']), '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_5, c_0011_6, c_0011_8, c_0101_1, c_0101_3, c_1001_0, c_1001_1, c_1001_10, c_1001_3, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t - 469188/11*c_1100_0^6 + 140668*c_1100_0^5 - 4747803/22*c_1100_0^4 + 18219625/88*c_1100_0^3 - 10902543/88*c_1100_0^2 + 2389637/44*c_1100_0 - 167080/11, c_0011_0 - 1, c_0011_10 - 1242*c_1100_0^6 + 4092*c_1100_0^5 - 25087/4*c_1100_0^4 + 96193/16*c_1100_0^3 - 14381/4*c_1100_0^2 + 12613/8*c_1100_0 - 1763/4, c_0011_11 + 594*c_1100_0^6 - 1956*c_1100_0^5 + 11987/4*c_1100_0^4 - 45949/16*c_1100_0^3 + 1714*c_1100_0^2 - 6005/8*c_1100_0 + 841/4, c_0011_5 - 348*c_1100_0^6 + 1144*c_1100_0^5 - 3501/2*c_1100_0^4 + 13379/8*c_1100_0^3 - 994*c_1100_0^2 + 1739/4*c_1100_0 - 241/2, c_0011_6 - 2354*c_1100_0^6 + 7764*c_1100_0^5 - 47651/4*c_1100_0^4 + 182861/16*c_1100_0^3 - 13679/2*c_1100_0^2 + 23989/8*c_1100_0 - 3353/4, c_0011_8 + 1242*c_1100_0^6 - 4092*c_1100_0^5 + 25087/4*c_1100_0^4 - 96193/16*c_1100_0^3 + 14381/4*c_1100_0^2 - 12613/8*c_1100_0 + 1763/4, c_0101_1 - 1, c_0101_3 + 1652*c_1100_0^6 - 5448*c_1100_0^5 + 16719/2*c_1100_0^4 - 64161/8*c_1100_0^3 + 4799*c_1100_0^2 - 8413/4*c_1100_0 + 1175/2, c_1001_0 - 1, c_1001_1 - 776*c_1100_0^6 + 2560*c_1100_0^5 - 3931*c_1100_0^4 + 15101/4*c_1100_0^3 - 4523/2*c_1100_0^2 + 1983/2*c_1100_0 - 277, c_1001_10 + 1296*c_1100_0^6 - 4272*c_1100_0^5 + 6550*c_1100_0^4 - 12561/2*c_1100_0^3 + 7509/2*c_1100_0^2 - 1644*c_1100_0 + 459, c_1001_3 - 1296*c_1100_0^6 + 4272*c_1100_0^5 - 6550*c_1100_0^4 + 12561/2*c_1100_0^3 - 7509/2*c_1100_0^2 + 1645*c_1100_0 - 460, c_1100_0^7 - 4*c_1100_0^6 + 59/8*c_1100_0^5 - 269/32*c_1100_0^4 + 101/16*c_1100_0^3 - 53/16*c_1100_0^2 + 5/4*c_1100_0 - 1/4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.240 seconds, Total memory usage: 32.09MB