Magma V2.19-8 Wed Aug 21 2013 01:04:00 on localhost [Seed = 1292588312] Type ? for help. Type -D to quit. Loading file "L14n23973__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n23973 geometric_solution 11.63435440 oriented_manifold CS_known -0.0000000000000005 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 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 0 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 0.247306681902 0.645647733105 0 5 7 6 0132 0132 0132 0132 1 1 0 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 1 -1 0 0 0 0 0 -1 3 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.915676483838 0.914261902047 6 0 8 5 0132 0132 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.246060462153 1.525568134421 5 6 9 0 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 -3 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.610601179666 0.515847389010 10 8 0 11 0132 3012 0132 0132 1 1 1 1 0 1 0 -1 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 -3 -1 4 -3 0 0 3 0 -4 0 4 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.994929583646 1.532223621802 3 1 2 12 0132 0132 0132 0132 1 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 -1 1 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 0.081996745082 0.624774743554 2 3 1 12 0132 0132 0132 0321 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 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.310664752636 0.586994384724 10 11 11 1 3120 2031 2310 0132 1 1 1 1 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 -1 0 1 3 0 -3 0 1 -1 0 0 4 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.408152341061 1.064050476926 4 11 9 2 1230 0321 0321 0132 1 1 1 1 0 0 0 0 -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 0 0 0 4 0 -4 0 -1 1 0 0 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.469727177984 0.390538360511 10 12 8 3 2031 0321 0321 0132 1 1 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 0 0 0 0 0 0 0 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.660601724642 0.550511651525 4 12 9 7 0132 1023 1302 3120 1 1 1 1 0 -1 0 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 0 4 0 -4 3 0 0 -3 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.573562454991 0.779110967823 7 7 4 8 1302 3201 0132 0321 1 1 1 1 0 -1 1 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 4 -4 0 0 0 -3 3 1 0 0 -1 1 3 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.685744584719 0.819261807091 10 6 5 9 1023 0321 0132 0321 1 1 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 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 1.226428542501 1.868872144978 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0101_7']), 'c_1001_10' : d['c_0101_12'], 'c_1001_12' : d['c_0011_11'], 'c_1001_5' : d['c_1001_0'], 'c_1001_4' : negation(d['c_0011_8']), 'c_1001_7' : d['c_0011_8'], 'c_1001_6' : d['c_1001_0'], 'c_1001_1' : d['c_0011_11'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : negation(d['c_0011_8']), 'c_1001_9' : d['c_1001_9'], 'c_1001_8' : d['c_1001_8'], 'c_1010_12' : d['c_1001_3'], 'c_1010_11' : negation(d['c_0011_8']), 'c_1010_10' : negation(d['c_0011_7']), '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' : negation(d['c_0011_7']), 'c_0101_10' : negation(d['c_0011_7']), 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : negation(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' : negation(d['1']), 's_0_9' : d['1'], 's_0_6' : negation(d['1']), 's_0_7' : d['1'], 's_0_4' : 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_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_10'], 'c_1100_5' : d['c_1001_9'], 'c_1100_4' : d['c_1001_8'], 'c_1100_7' : d['c_0011_11'], 'c_1100_6' : d['c_0011_11'], 'c_1100_1' : d['c_0011_11'], 'c_1100_0' : d['c_1001_8'], 'c_1100_3' : d['c_1001_8'], 'c_1100_2' : d['c_1001_9'], 's_3_11' : d['1'], 'c_1100_11' : d['c_1001_8'], 'c_1100_10' : negation(d['c_0101_7']), 's_0_11' : d['1'], 'c_1010_7' : d['c_0011_11'], 'c_1010_6' : d['c_1001_3'], 'c_1010_5' : d['c_0011_11'], 'c_1010_4' : negation(d['c_0101_7']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_0'], 'c_1010_0' : negation(d['c_0011_8']), 'c_1010_9' : d['c_1001_3'], 'c_1010_8' : negation(d['c_0011_8']), 'c_1100_8' : d['c_1001_9'], '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' : d['1'], 's_3_8' : negation(d['1']), 'c_1100_12' : d['c_1001_9'], 's_1_7' : d['1'], 's_1_6' : negation(d['1']), 's_1_5' : d['1'], 's_1_4' : negation(d['1']), 's_1_3' : negation(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_7'], 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : d['c_0011_0'], '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' : negation(d['c_0011_8']), 'c_0110_10' : d['c_0101_1'], 'c_0110_12' : negation(d['c_0011_7']), 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_12'], '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' : negation(d['c_0101_7']), 'c_0101_8' : d['c_0101_7'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_12'], 'c_0110_8' : negation(d['c_0011_10']), 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_1001_8'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_12'], 'c_0110_4' : negation(d['c_0011_7']), 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : negation(d['c_0011_10']), '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_7, c_0011_8, c_0101_0, c_0101_1, c_0101_12, c_0101_7, c_1001_0, c_1001_3, c_1001_8, c_1001_9 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 39562713086194691/434048622139913013*c_1001_9^5 - 618626633324508143/434048622139913013*c_1001_9^4 + 3259384217971917709/434048622139913013*c_1001_9^3 - 6541554138097017287/434048622139913013*c_1001_9^2 + 4231592384233542499/434048622139913013*c_1001_9 + 4102582319275142036/434048622139913013, c_0011_0 - 1, c_0011_10 + 8602/1658067*c_1001_9^5 - 41641/1658067*c_1001_9^4 - 38539/1658067*c_1001_9^3 + 122072/1658067*c_1001_9^2 - 636001/1658067*c_1001_9 + 750598/1658067, c_0011_11 - 8174/4974201*c_1001_9^5 + 112430/4974201*c_1001_9^4 - 513883/4974201*c_1001_9^3 + 236741/4974201*c_1001_9^2 + 2987948/4974201*c_1001_9 - 1458437/4974201, c_0011_7 - 32189/4974201*c_1001_9^5 + 266270/4974201*c_1001_9^4 - 966625/4974201*c_1001_9^3 + 3196655/4974201*c_1001_9^2 - 1823440/4974201*c_1001_9 + 3101833/4974201, c_0011_8 + 29254/4974201*c_1001_9^5 - 391423/4974201*c_1001_9^4 + 1756379/4974201*c_1001_9^3 - 2926045/4974201*c_1001_9^2 + 1744952/4974201*c_1001_9 - 1761551/4974201, c_0101_0 + 22082/4974201*c_1001_9^5 - 229487/4974201*c_1001_9^4 + 274624/4974201*c_1001_9^3 + 2404360/4974201*c_1001_9^2 - 2800751/4974201*c_1001_9 - 1925146/4974201, c_0101_1 - 1, c_0101_12 + 32189/4974201*c_1001_9^5 - 266270/4974201*c_1001_9^4 + 966625/4974201*c_1001_9^3 - 3196655/4974201*c_1001_9^2 + 1823440/4974201*c_1001_9 + 1872368/4974201, c_0101_7 - 39574/4974201*c_1001_9^5 + 358111/4974201*c_1001_9^4 - 1080995/4974201*c_1001_9^3 + 1665862/4974201*c_1001_9^2 + 1978768/4974201*c_1001_9 + 2186417/4974201, c_1001_0 - 11783/1658067*c_1001_9^5 + 162476/1658067*c_1001_9^4 - 651724/1658067*c_1001_9^3 + 724850/1658067*c_1001_9^2 - 1127470/1658067*c_1001_9 + 678859/1658067, c_1001_3 - 37000/4974201*c_1001_9^5 + 574642/4974201*c_1001_9^4 - 2822684/4974201*c_1001_9^3 + 3521599/4974201*c_1001_9^2 - 1379258/4974201*c_1001_9 - 3720859/4974201, c_1001_8 - 6884/1658067*c_1001_9^5 + 116594/1658067*c_1001_9^4 - 598306/1658067*c_1001_9^3 + 1016039/1658067*c_1001_9^2 - 793651/1658067*c_1001_9 - 267995/1658067, c_1001_9^6 - 15*c_1001_9^5 + 73*c_1001_9^4 - 122*c_1001_9^3 + 52*c_1001_9^2 + 57*c_1001_9 + 181 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.340 Total time: 0.550 seconds, Total memory usage: 32.09MB