Magma V2.19-8 Wed Aug 21 2013 01:08:06 on localhost [Seed = 3599814625] Type ? for help. Type -D to quit. Loading file "L14n38253__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n38253 geometric_solution 11.82607734 oriented_manifold CS_known 0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 1 0 0 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 5 -1 -4 1 0 0 -1 1 -1 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.084898290617 1.597909640570 0 3 6 5 0132 2103 0132 0132 1 0 1 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 0 -1 -1 0 0 1 -1 1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.269883680598 0.471258801769 7 0 5 8 0132 0132 2031 0132 1 1 1 0 0 -1 1 0 1 0 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 -5 5 0 4 0 1 -5 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.284618729065 0.562867350623 9 1 7 0 0132 2103 3012 0132 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 -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 0.324305369912 0.344191491180 7 6 0 10 3012 3201 0132 0132 1 0 1 0 0 -1 1 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 -4 4 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 0.079625475408 1.371431078024 9 11 1 2 2103 0132 0132 1302 1 0 1 1 0 0 0 0 0 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 1 -1 0 0 -1 1 0 5 0 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.284567440126 1.414852883536 9 12 4 1 3120 0132 2310 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 0 0 0 0 0 0 0 0 1 0 -1 0 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.957806793707 0.726715590641 2 3 10 4 0132 1230 1230 1230 0 1 0 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 0.827213410582 0.781219569444 11 11 2 12 0321 1302 0132 2103 1 1 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 -5 0 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 0 0.934377812524 0.685694821143 3 12 5 6 0132 1230 2103 3120 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.361020910519 0.603451253065 12 11 4 7 0321 1230 0132 3012 1 0 1 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 0 0 -1 0 1 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 0.224586183673 1.349406293248 8 5 10 8 0321 0132 3012 2031 1 1 1 1 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 5 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.138302312839 1.445138958534 10 6 9 8 0321 0132 3012 2103 1 1 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 0 0 0 0 -4 4 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.320132674120 0.557107748193 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0011_10']), 'c_1001_10' : d['c_1001_10'], 'c_1001_12' : d['c_0011_3'], 'c_1001_5' : d['c_0011_8'], 'c_1001_4' : negation(d['c_0101_6']), 'c_1001_7' : d['c_1001_7'], 'c_1001_6' : negation(d['c_1001_10']), 'c_1001_1' : d['c_0011_3'], 'c_1001_0' : negation(d['c_0011_8']), 'c_1001_3' : negation(d['c_0011_0']), 'c_1001_2' : negation(d['c_0101_6']), 'c_1001_9' : negation(d['c_0011_11']), 'c_1001_8' : negation(d['c_0011_8']), 'c_1010_12' : negation(d['c_1001_10']), 'c_1010_11' : d['c_0011_8'], 'c_1010_10' : d['c_0101_11'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : negation(d['1']), 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : negation(d['c_0011_12']), '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' : negation(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' : 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_1100_9' : negation(d['c_0101_6']), 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0011_4'], 'c_1100_4' : negation(d['c_1001_7']), 'c_1100_7' : negation(d['c_0011_12']), 'c_1100_6' : d['c_0011_4'], 'c_1100_1' : d['c_0011_4'], 'c_1100_0' : negation(d['c_1001_7']), 'c_1100_3' : negation(d['c_1001_7']), 'c_1100_2' : d['c_0011_10'], 's_3_11' : negation(d['1']), 'c_1100_11' : negation(d['c_1001_10']), 'c_1100_10' : negation(d['c_1001_7']), 's_0_11' : d['1'], 'c_1010_7' : d['c_0101_1'], 'c_1010_6' : d['c_0011_3'], 'c_1010_5' : negation(d['c_0011_10']), 'c_1010_4' : d['c_1001_10'], 'c_1010_3' : negation(d['c_0011_8']), 'c_1010_2' : negation(d['c_0011_8']), 'c_1010_1' : d['c_0011_8'], 'c_1010_0' : negation(d['c_0101_6']), 'c_1010_9' : d['c_0011_12'], 'c_1010_8' : d['c_1001_10'], 'c_1100_8' : d['c_0011_10'], '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' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : d['c_0011_11'], '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' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : negation(d['1']), 'c_0011_9' : negation(d['c_0011_3']), 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : negation(d['c_0011_11']), 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_0'], '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' : negation(d['c_0011_8']), 'c_0110_10' : negation(d['c_0011_12']), 'c_0110_12' : negation(d['c_0011_10']), 'c_0101_12' : d['c_0011_12'], 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : negation(d['c_0101_11']), '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_0101_1'], 'c_0101_2' : d['c_0011_4'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_0'], 'c_0101_8' : negation(d['c_0101_11']), 's_1_12' : d['1'], 's_1_11' : negation(d['1']), 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_1'], 'c_0110_8' : negation(d['c_0011_11']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_11']), 'c_0110_5' : d['c_0101_6'], 'c_0110_4' : negation(d['c_0011_12']), 'c_0110_7' : d['c_0011_4'], '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_3, c_0011_4, c_0011_8, c_0101_0, c_0101_1, c_0101_11, c_0101_6, c_1001_10, c_1001_7 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t + 674*c_1001_7^3 + 929*c_1001_7^2 + 874*c_1001_7 + 560, c_0011_0 - 1, c_0011_10 + 2*c_1001_7^3 + 2*c_1001_7^2 - 2*c_1001_7 - 1, c_0011_11 - c_1001_7^3 + c_1001_7 - 1, c_0011_12 - c_1001_7^2 + 1, c_0011_3 + c_1001_7, c_0011_4 - c_1001_7^2 - c_1001_7 + 1, c_0011_8 + c_1001_7^2 - 1, c_0101_0 - 1, c_0101_1 - 1, c_0101_11 + c_1001_7^3 - c_1001_7 + 1, c_0101_6 + c_1001_7^2 + c_1001_7 - 1, c_1001_10 + c_1001_7^3 - c_1001_7^2 - 2*c_1001_7 + 2, c_1001_7^4 + c_1001_7^3 - 1 ], 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_4, c_0011_8, c_0101_0, c_0101_1, c_0101_11, c_0101_6, c_1001_10, c_1001_7 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 147051761/1836628*c_1001_7^5 + 10815371139/23876164*c_1001_7^4 + 4441556307/23876164*c_1001_7^3 - 14276588523/41783287*c_1001_7^2 + 24727763293/167133148*c_1001_7 + 1896590687/1440803, c_0011_0 - 1, c_0011_10 - 9814/15833*c_1001_7^5 + 12544/15833*c_1001_7^4 - 7812/15833*c_1001_7^3 + 576/15833*c_1001_7^2 - 1032/15833*c_1001_7 - 5318/15833, c_0011_11 - 3332/15833*c_1001_7^5 + 9002/15833*c_1001_7^4 + 826/15833*c_1001_7^3 - 9765/15833*c_1001_7^2 + 7600/15833*c_1001_7 - 12263/15833, c_0011_12 - 3346/15833*c_1001_7^5 + 1589/15833*c_1001_7^4 + 10143/15833*c_1001_7^3 - 8409/15833*c_1001_7^2 - 2746/15833*c_1001_7 + 3585/15833, c_0011_3 + 5747/15833*c_1001_7^5 - 4816/15833*c_1001_7^4 - 959/15833*c_1001_7^3 - 2483/15833*c_1001_7^2 + 3789/15833*c_1001_7 - 14074/15833, c_0011_4 - 5670/15833*c_1001_7^5 - 9828/15833*c_1001_7^4 + 5131/15833*c_1001_7^3 - 4975/15833*c_1001_7^2 - 10218/15833*c_1001_7 - 9758/15833, c_0011_8 + 840/15833*c_1001_7^5 + 1456/15833*c_1001_7^4 - 4865/15833*c_1001_7^3 - 2195/15833*c_1001_7^2 + 3273/15833*c_1001_7 - 900/15833, c_0101_0 + 5656/15833*c_1001_7^5 + 2415/15833*c_1001_7^4 + 4186/15833*c_1001_7^3 + 6331/15833*c_1001_7^2 + 15705/15833*c_1001_7 + 9773/15833, c_0101_1 - 1, c_0101_11 + 6482/15833*c_1001_7^5 - 3542/15833*c_1001_7^4 + 8638/15833*c_1001_7^3 - 10341/15833*c_1001_7^2 + 8632/15833*c_1001_7 - 6945/15833, c_0101_6 - 2415/15833*c_1001_7^5 - 4186/15833*c_1001_7^4 + 133/15833*c_1001_7^3 + 12248/15833*c_1001_7^2 - 11389/15833*c_1001_7 - 5329/15833, c_1001_10 + 840/15833*c_1001_7^5 + 1456/15833*c_1001_7^4 - 4865/15833*c_1001_7^3 - 2195/15833*c_1001_7^2 + 3273/15833*c_1001_7 - 900/15833, c_1001_7^6 + 8/7*c_1001_7^3 + 15/7*c_1001_7^2 - 2/7*c_1001_7 + 13/7 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.380 Total time: 0.590 seconds, Total memory usage: 32.09MB