Magma V2.19-8 Wed Aug 21 2013 00:57:51 on localhost [Seed = 256447921] Type ? for help. Type -D to quit. Loading file "L13n4541__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n4541 geometric_solution 11.24872237 oriented_manifold CS_known 0.0000000000000000 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 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 -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 0.724407752729 0.770762309910 0 5 2 3 0132 0132 2031 2031 1 1 1 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 -2 3 -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 0.325348615698 0.850043317612 5 0 6 1 2103 0132 0132 1302 1 1 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 1 -1 0 0 0 -1 1 3 0 0 -3 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.114011228485 0.696006913778 5 1 6 0 0132 1302 1302 0132 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 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 1.624986297722 0.778939319211 7 8 0 9 0132 0132 0132 0132 1 1 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 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.531989424834 0.575669210367 3 1 2 10 0132 0132 2103 0132 1 1 1 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 2 -3 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 0.663273829150 0.336735437611 3 10 9 2 2031 2031 2031 0132 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 -1 1 -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 1.163005460383 1.298452954554 4 11 8 12 0132 0132 1023 0132 1 1 1 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.936612728200 1.408113113507 11 4 7 10 0132 0132 1023 2031 1 1 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 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.334537002290 1.177915300069 12 12 4 6 1302 3012 0132 1302 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 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 0.467819332897 0.740483852864 6 8 5 11 1302 1302 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 -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 0.711268606083 1.079476494291 8 7 10 12 0132 0132 2031 1023 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 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.072338814766 0.611805286159 9 9 7 11 1230 2031 0132 1023 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 0 0 0 0 0 0 0 1 0 -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 0.467819332897 0.740483852864 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0110_10']), 'c_1001_10' : d['c_0101_11'], 'c_1001_12' : negation(d['c_0110_10']), 'c_1001_5' : negation(d['c_0011_0']), 'c_1001_4' : d['c_0011_10'], 'c_1001_7' : d['c_0011_9'], 'c_1001_6' : negation(d['c_0110_10']), 'c_1001_1' : d['c_0101_11'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0101_0'], 'c_1001_2' : d['c_0011_10'], 'c_1001_9' : negation(d['c_0011_12']), 'c_1001_8' : negation(d['c_0011_12']), 'c_1010_12' : d['c_0011_9'], 'c_1010_11' : d['c_0011_9'], 'c_1010_10' : d['c_1010_10'], '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_11'], 'c_0101_10' : negation(d['c_0011_6']), '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' : 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' : d['1'], 's_0_1' : d['1'], 'c_0011_11' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0101_11'], 'c_1100_4' : d['c_0101_6'], 'c_1100_7' : d['c_1010_10'], 'c_1100_6' : d['c_0101_1'], 'c_1100_1' : negation(d['c_1001_0']), 'c_1100_0' : d['c_0101_6'], 'c_1100_3' : d['c_0101_6'], 'c_1100_2' : d['c_0101_1'], 's_0_10' : d['1'], 'c_1100_9' : d['c_0101_6'], 'c_1100_11' : negation(d['c_1010_10']), 'c_1100_10' : d['c_0101_11'], 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0110_10']), 'c_1010_6' : d['c_0011_10'], 'c_1010_5' : d['c_0101_11'], 'c_1010_4' : negation(d['c_0011_12']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : d['c_0011_10'], 'c_1010_9' : negation(d['c_0101_1']), 'c_1010_8' : d['c_0011_10'], 'c_1100_8' : negation(d['c_1010_10']), 's_3_1' : d['1'], 's_3_0' : 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' : d['c_1010_10'], '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_9'], 'c_0011_8' : negation(d['c_0011_11']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_11'], 'c_0011_7' : negation(d['c_0011_11']), '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_0']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0011_9'], 'c_0110_10' : d['c_0110_10'], 'c_0110_12' : d['c_0011_9'], 'c_0101_12' : d['c_0101_1'], 'c_0101_7' : negation(d['c_0011_12']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_6']), 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_12']), 'c_0101_8' : d['c_0011_9'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0110_10'], 'c_0110_8' : d['c_0101_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' : negation(d['c_0011_6']), 'c_0110_4' : negation(d['c_0011_12']), 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0101_0']})} 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_6, c_0011_9, c_0101_0, c_0101_1, c_0101_11, c_0101_6, c_0110_10, c_1001_0, c_1010_10 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 1593909161/5277856*c_1010_10^9 - 2872619991/2638928*c_1010_10^8 - 20999739647/5277856*c_1010_10^7 - 886889765/329866*c_1010_10^6 - 1026357025/659732*c_1010_10^5 + 37928529437/2638928*c_1010_10^4 - 24876834127/5277856*c_1010_10^3 - 247452693/74336*c_1010_10^2 + 2414683519/5277856*c_1010_10 + 2601165569/5277856, c_0011_0 - 1, c_0011_10 - 298/71*c_1010_10^9 - 1066/71*c_1010_10^8 - 3909/71*c_1010_10^7 - 2609/71*c_1010_10^6 - 1706/71*c_1010_10^5 + 13780/71*c_1010_10^4 - 5577/71*c_1010_10^3 - 45*c_1010_10^2 + 779/71*c_1010_10 + 442/71, c_0011_11 - 1, c_0011_12 - 4997/11218*c_1010_10^9 - 138/71*c_1010_10^8 - 82459/11218*c_1010_10^7 - 53400/5609*c_1010_10^6 - 52547/5609*c_1010_10^5 + 83091/5609*c_1010_10^4 + 58373/11218*c_1010_10^3 - 77/158*c_1010_10^2 - 23373/11218*c_1010_10 - 14727/11218, c_0011_6 + 850/71*c_1010_10^9 + 2992/71*c_1010_10^8 + 10903/71*c_1010_10^7 + 6494/71*c_1010_10^6 + 3286/71*c_1010_10^5 - 41027/71*c_1010_10^4 + 16720/71*c_1010_10^3 + 145*c_1010_10^2 - 2607/71*c_1010_10 - 1438/71, c_0011_9 - 1107/5609*c_1010_10^9 - 27/71*c_1010_10^8 - 6331/5609*c_1010_10^7 + 21283/5609*c_1010_10^6 + 35849/5609*c_1010_10^5 + 92531/5609*c_1010_10^4 - 77294/5609*c_1010_10^3 - 545/79*c_1010_10^2 + 14975/5609*c_1010_10 + 10059/5609, c_0101_0 + 452/71*c_1010_10^9 + 1645/71*c_1010_10^8 + 6012/71*c_1010_10^7 + 4257/71*c_1010_10^6 + 2580/71*c_1010_10^5 - 21017/71*c_1010_10^4 + 6858/71*c_1010_10^3 + 82*c_1010_10^2 - 1112/71*c_1010_10 - 760/71, c_0101_1 + 509/142*c_1010_10^9 + 964/71*c_1010_10^8 + 7073/142*c_1010_10^7 + 2954/71*c_1010_10^6 + 1999/71*c_1010_10^5 - 11464/71*c_1010_10^4 + 4263/142*c_1010_10^3 + 89/2*c_1010_10^2 - 333/142*c_1010_10 - 673/142, c_0101_11 - 462/71*c_1010_10^9 - 1666/71*c_1010_10^8 - 6096/71*c_1010_10^7 - 4163/71*c_1010_10^6 - 2551/71*c_1010_10^5 + 21640/71*c_1010_10^4 - 7606/71*c_1010_10^3 - 73*c_1010_10^2 + 999/71*c_1010_10 + 670/71, c_0101_6 - 463/71*c_1010_10^9 - 1732/71*c_1010_10^8 - 6360/71*c_1010_10^7 - 5105/71*c_1010_10^6 - 3535/71*c_1010_10^5 + 20829/71*c_1010_10^4 - 5210/71*c_1010_10^3 - 75*c_1010_10^2 + 512/71*c_1010_10 + 590/71, c_0110_10 + 9/71*c_1010_10^9 + 26/71*c_1010_10^8 + 104/71*c_1010_10^7 + 29/71*c_1010_10^6 + 123/71*c_1010_10^5 - 298/71*c_1010_10^4 + 659/71*c_1010_10^3 - 3*c_1010_10^2 - 90/71*c_1010_10 + 10/71, c_1001_0 - 1285/142*c_1010_10^9 - 2290/71*c_1010_10^8 - 16687/142*c_1010_10^7 - 5285/71*c_1010_10^6 - 2734/71*c_1010_10^5 + 30851/71*c_1010_10^4 - 22491/142*c_1010_10^3 - 233/2*c_1010_10^2 + 3549/142*c_1010_10 + 2209/142, c_1010_10^10 + 3*c_1010_10^9 + 11*c_1010_10^8 + c_1010_10^7 - 50*c_1010_10^5 + 45*c_1010_10^4 + 2*c_1010_10^3 - 10*c_1010_10^2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.320 Total time: 0.520 seconds, Total memory usage: 32.09MB