Magma V2.19-8 Tue Aug 20 2013 16:18:46 on localhost [Seed = 2699115991] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2924 geometric_solution 6.12387077 oriented_manifold CS_known 0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 7 1 0 2 0 0132 1302 0132 2031 0 0 0 0 0 -1 -1 2 0 0 -1 1 1 -2 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 0 0 -1 1 0 -1 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.560359231209 0.424763452614 0 3 4 2 0132 0132 0132 2310 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 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 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.219195207714 0.884445204192 1 4 5 0 3201 1023 0132 0132 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 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 0.219195207714 0.884445204192 5 1 5 5 2310 0132 1302 0321 0 1 0 0 0 0 0 0 0 0 1 -1 0 -1 0 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 -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 0.866647968825 0.859103401848 2 6 6 1 1023 0132 1023 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.080218120219 0.587085676016 3 3 3 2 2031 0321 3201 0132 0 0 0 1 0 0 -1 1 0 0 0 0 1 -1 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.866647968825 0.859103401848 6 4 4 6 3201 0132 1023 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.720856890792 0.684810305775 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(d['1']), 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : negation(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' : negation(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' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : negation(d['1']), 's_1_2' : d['1'], 's_1_1' : negation(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' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : negation(d['c_0011_2']), 'c_1100_5' : negation(d['c_0011_0']), 'c_1100_4' : d['c_0011_2'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_2'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : d['c_0011_5'], 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0011_5'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0011_5']), 'c_0101_2' : negation(d['c_0101_0']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_2'], 'c_0011_6' : negation(d['c_0011_2']), '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' : d['c_0011_5'], 'c_1001_4' : d['c_0101_6'], 'c_1001_6' : d['c_0101_4'], 'c_1001_1' : d['c_0101_4'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : negation(d['c_0101_0']), 'c_1001_2' : d['c_0101_4'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0011_5']), 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : negation(d['c_0101_0']), 'c_0110_4' : d['c_0101_1'], 'c_0110_6' : negation(d['c_0101_6']), 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : d['c_0101_4'], 'c_1010_4' : d['c_0101_4'], 'c_1010_3' : d['c_0101_4'], 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : negation(d['c_0101_0']), '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_5, c_0101_0, c_0101_1, c_0101_4, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 184585906288519/8797610192013*c_0101_6^9 + 1304992448191933/8797610192013*c_0101_6^8 + 1013747316754904/8797610192013*c_0101_6^7 + 9665712241176157/8797610192013*c_0101_6^6 - 47696847647601070/8797610192013*c_0101_6^5 + 17321174344198777/8797610192013*c_0101_6^4 + 43121872897172804/8797610192013*c_0101_6^3 - 2828511949464725/977512243557*c_0101_6^2 + 16296774977564110/8797610192013*c_0101_6 - 2171099199849880/2932536730671, c_0011_0 - 1, c_0011_2 + 6540897531/325837414519*c_0101_6^9 + 49664568657/325837414519*c_0101_6^8 + 65816019125/325837414519*c_0101_6^7 + 407414226491/325837414519*c_0101_6^6 - 1433517273935/325837414519*c_0101_6^5 + 103650004747/325837414519*c_0101_6^4 + 766250986470/325837414519*c_0101_6^3 - 692997374758/325837414519*c_0101_6^2 + 914136484492/325837414519*c_0101_6 - 133628615118/325837414519, c_0011_5 + 1, c_0101_0 + 8559493457/325837414519*c_0101_6^9 + 68496045415/325837414519*c_0101_6^8 + 110528590584/325837414519*c_0101_6^7 + 553675235525/325837414519*c_0101_6^6 - 1656716287441/325837414519*c_0101_6^5 - 683045816563/325837414519*c_0101_6^4 + 1802112863188/325837414519*c_0101_6^3 - 379837763902/325837414519*c_0101_6^2 - 135040456593/325837414519*c_0101_6 + 248123405266/325837414519, c_0101_1 + 18746582630/325837414519*c_0101_6^9 + 148054373246/325837414519*c_0101_6^8 + 229829165900/325837414519*c_0101_6^7 + 1211433735679/325837414519*c_0101_6^6 - 3736767299376/325837414519*c_0101_6^5 - 918255420535/325837414519*c_0101_6^4 + 3266317428560/325837414519*c_0101_6^3 - 512040353601/325837414519*c_0101_6^2 + 660343825123/325837414519*c_0101_6 - 228431305713/325837414519, c_0101_4 + 8559493457/325837414519*c_0101_6^9 + 68496045415/325837414519*c_0101_6^8 + 110528590584/325837414519*c_0101_6^7 + 553675235525/325837414519*c_0101_6^6 - 1656716287441/325837414519*c_0101_6^5 - 683045816563/325837414519*c_0101_6^4 + 1802112863188/325837414519*c_0101_6^3 - 379837763902/325837414519*c_0101_6^2 - 135040456593/325837414519*c_0101_6 - 77714009253/325837414519, c_0101_6^10 + 7*c_0101_6^9 + 5*c_0101_6^8 + 52*c_0101_6^7 - 262*c_0101_6^6 + 112*c_0101_6^5 + 227*c_0101_6^4 - 156*c_0101_6^3 + 100*c_0101_6^2 - 42*c_0101_6 + 3 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.200 seconds, Total memory usage: 32.09MB