Magma V2.19-8 Tue Aug 20 2013 16:16:18 on localhost [Seed = 3398129195] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0566 geometric_solution 4.58714700 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 0 2 0 0132 1302 0132 2031 0 0 0 0 0 -1 0 1 0 0 -1 1 0 -1 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 -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 0.268384999423 0.107193200452 0 3 2 4 0132 0132 3012 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 -1.213387680356 1.283429813481 5 1 3 0 0132 1230 3201 0132 0 0 0 0 0 0 0 0 -1 0 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 -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 -1.213387680356 1.283429813481 2 1 4 5 2310 0132 2031 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2.130962987699 1.874383988443 5 6 1 3 2031 0132 0132 1302 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 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 0.014912178265 0.855486248260 2 3 4 6 0132 1302 1302 1023 0 0 0 0 0 0 0 0 1 0 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 -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 0.014912178265 0.855486248260 6 4 6 5 2310 0132 3201 1023 0 0 0 0 0 0 -1 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 -1 1 1 0 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 0.788906596115 0.443783414663 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : d['1'], '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_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_0_6' : 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_1100_6' : d['c_0011_4'], 'c_1100_5' : negation(d['c_0011_4']), 'c_1100_4' : d['c_0101_3'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0101_3'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : d['c_0101_6'], 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0011_4']), 'c_0101_4' : negation(d['c_0011_4']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_4']), 'c_0011_5' : negation(d['c_0011_2']), 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(d['c_0011_4']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_0'], 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0101_2']), 'c_1001_4' : d['c_0101_2'], 'c_1001_6' : negation(d['c_0101_6']), 'c_1001_1' : negation(d['c_0011_2']), 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : d['c_0101_2'], 'c_1001_2' : negation(d['c_0101_3']), 'c_0110_1' : negation(d['c_0011_4']), 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0101_2']), 'c_0110_2' : negation(d['c_0011_4']), 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : negation(d['c_0101_2']), 'c_0110_6' : negation(d['c_0101_6']), 'c_1010_6' : d['c_0101_2'], 'c_1010_5' : negation(d['c_0101_6']), 'c_1010_4' : negation(d['c_0101_6']), 'c_1010_3' : negation(d['c_0011_2']), 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : d['c_0101_2'], 'c_1010_0' : d['c_0011_0']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_2, c_0011_4, c_0101_1, c_0101_2, c_0101_3, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 15 Groebner basis: [ t + 1355499201/151996714*c_0101_6^14 - 2660010891/151996714*c_0101_6^13 - 1252090315/10482532*c_0101_6^12 + 1981791344/75998357*c_0101_6^11 + 215382280109/303993428*c_0101_6^10 + 231332769675/303993428*c_0101_6^9 - 435591943279/303993428*c_0101_6^8 - 193028805105/75998357*c_0101_6^7 + 209324650101/303993428*c_0101_6^6 + 88212299567/75998357*c_0101_6^5 - 316532736875/151996714*c_0101_6^4 - 254440001083/303993428*c_0101_6^3 + 156290709313/151996714*c_0101_6^2 + 25715430057/303993428*c_0101_6 - 27954279781/303993428, c_0011_0 - 1, c_0011_2 - 81349964/75998357*c_0101_6^14 + 229294928/75998357*c_0101_6^13 + 57812457/5241266*c_0101_6^12 - 1520293133/151996714*c_0101_6^11 - 10798153551/151996714*c_0101_6^10 - 3106381823/75998357*c_0101_6^9 + 25481466399/151996714*c_0101_6^8 + 24482169201/151996714*c_0101_6^7 - 17339002063/151996714*c_0101_6^6 - 942340262/75998357*c_0101_6^5 + 13721583483/75998357*c_0101_6^4 + 323090361/75998357*c_0101_6^3 - 9562328191/151996714*c_0101_6^2 + 524803696/75998357*c_0101_6 + 174029262/75998357, c_0011_4 - 68955453/151996714*c_0101_6^14 + 80941197/75998357*c_0101_6^13 + 56692841/10482532*c_0101_6^12 - 769226067/303993428*c_0101_6^11 - 2510444746/75998357*c_0101_6^10 - 8895139731/303993428*c_0101_6^9 + 10597721833/151996714*c_0101_6^8 + 15168691873/151996714*c_0101_6^7 - 11196333027/303993428*c_0101_6^6 - 8586239543/303993428*c_0101_6^5 + 28292459641/303993428*c_0101_6^4 + 1731030026/75998357*c_0101_6^3 - 5361341363/151996714*c_0101_6^2 + 568764225/303993428*c_0101_6 + 164119133/151996714, c_0101_1 - 83830045/303993428*c_0101_6^14 + 106934681/151996714*c_0101_6^13 + 7737036/2620633*c_0101_6^12 - 460423647/303993428*c_0101_6^11 - 2750347995/151996714*c_0101_6^10 - 5038441675/303993428*c_0101_6^9 + 5249857885/151996714*c_0101_6^8 + 7736807387/151996714*c_0101_6^7 - 1147712889/303993428*c_0101_6^6 - 583803511/303993428*c_0101_6^5 + 5454601285/151996714*c_0101_6^4 + 2868076619/151996714*c_0101_6^3 - 1493619031/303993428*c_0101_6^2 - 1286408123/303993428*c_0101_6 + 84664463/303993428, c_0101_2 + 53704073/151996714*c_0101_6^14 - 78238358/75998357*c_0101_6^13 - 18521501/5241266*c_0101_6^12 + 268412328/75998357*c_0101_6^11 + 3545064657/151996714*c_0101_6^10 + 1800151243/151996714*c_0101_6^9 - 8657523063/151996714*c_0101_6^8 - 7804042347/151996714*c_0101_6^7 + 3152417928/75998357*c_0101_6^6 + 1382768659/151996714*c_0101_6^5 - 4375318944/75998357*c_0101_6^4 - 83339518/75998357*c_0101_6^3 + 1890426842/75998357*c_0101_6^2 - 131956223/151996714*c_0101_6 - 216503053/151996714, c_0101_3 - 81349964/75998357*c_0101_6^14 + 229294928/75998357*c_0101_6^13 + 57812457/5241266*c_0101_6^12 - 1520293133/151996714*c_0101_6^11 - 10798153551/151996714*c_0101_6^10 - 3106381823/75998357*c_0101_6^9 + 25481466399/151996714*c_0101_6^8 + 24482169201/151996714*c_0101_6^7 - 17339002063/151996714*c_0101_6^6 - 942340262/75998357*c_0101_6^5 + 13721583483/75998357*c_0101_6^4 + 323090361/75998357*c_0101_6^3 - 9562328191/151996714*c_0101_6^2 + 524803696/75998357*c_0101_6 + 174029262/75998357, c_0101_6^15 - 3*c_0101_6^14 - 10*c_0101_6^13 + 12*c_0101_6^12 + 66*c_0101_6^11 + 23*c_0101_6^10 - 174*c_0101_6^9 - 120*c_0101_6^8 + 163*c_0101_6^7 - 5*c_0101_6^6 - 192*c_0101_6^5 + 45*c_0101_6^4 + 73*c_0101_6^3 - 28*c_0101_6^2 - c_0101_6 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.210 seconds, Total memory usage: 32.09MB