Magma V2.19-8 Tue Aug 20 2013 16:18:37 on localhost [Seed = 728413721] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2801 geometric_solution 6.03332118 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 0 0 2 0132 3201 2310 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 -1 0 1 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 1.056078604090 0.942048582048 0 3 5 4 0132 0132 0132 0132 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 -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 -0.108214786110 0.820535577156 6 4 0 3 0132 1023 0132 2310 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 -1 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 -0.108214786110 0.820535577156 2 1 3 3 3201 0132 2031 1302 0 0 0 0 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 0 0 0 0 0 1 -1 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 0.107661440949 0.720939130795 2 5 1 6 1023 2103 0132 3012 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 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.673219591694 1.232991822505 6 4 6 1 3201 2103 3012 0132 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 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 0.305484210578 0.507336654393 2 5 4 5 0132 1230 1230 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 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 0.305484210578 0.507336654393 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : 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_0' : d['1'], 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : negation(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' : negation(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_5'], 'c_1100_5' : negation(d['c_1001_6']), 'c_1100_4' : negation(d['c_1001_6']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_1001_6']), 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_0101_3'], 'c_1100_2' : d['c_0011_0'], 'c_0101_6' : negation(d['c_0101_3']), 'c_0101_5' : negation(d['c_0101_1']), 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_1'], '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_2'], 'c_1001_4' : d['c_0011_5'], 'c_1001_6' : d['c_1001_6'], 'c_1001_1' : negation(d['c_0101_3']), 'c_1001_0' : negation(d['c_0101_0']), 'c_1001_3' : d['c_0011_5'], 'c_1001_2' : d['c_0101_0'], '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' : negation(d['c_0101_3']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0011_5'], 'c_0110_6' : d['c_0101_1'], 'c_1010_6' : negation(d['c_0101_1']), 'c_1010_5' : negation(d['c_0101_3']), 'c_1010_4' : d['c_0101_3'], 'c_1010_3' : negation(d['c_0101_3']), 'c_1010_2' : d['c_0011_5'], 'c_1010_1' : d['c_0011_5'], 'c_1010_0' : d['c_0101_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_3, c_1001_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t + 25470680756590/1539074381*c_1001_6^10 - 329450557331685/1539074381*c_1001_6^9 + 513305927996529/1539074381*c_1001_6^8 + 211913425474747/1539074381*c_1001_6^7 + 956298755865741/1539074381*c_1001_6^6 + 546578867558678/1539074381*c_1001_6^5 - 142486574063318/1539074381*c_1001_6^4 + 525555904567554/1539074381*c_1001_6^3 - 602339060047293/1539074381*c_1001_6^2 + 673728639897307/1539074381*c_1001_6 - 388875335509558/1539074381, c_0011_0 - 1, c_0011_2 - c_1001_6, c_0011_5 - 32373673/1539074381*c_1001_6^10 + 386317059/1539074381*c_1001_6^9 - 224885946/1539074381*c_1001_6^8 - 1025180643/1539074381*c_1001_6^7 - 1416108938/1539074381*c_1001_6^6 - 1144441133/1539074381*c_1001_6^5 - 846839181/1539074381*c_1001_6^4 - 1438210451/1539074381*c_1001_6^3 - 997322094/1539074381*c_1001_6^2 - 1390995758/1539074381*c_1001_6 - 224454173/1539074381, c_0101_0 - 122298246/1539074381*c_1001_6^10 + 1563368423/1539074381*c_1001_6^9 - 2258939855/1539074381*c_1001_6^8 - 970894296/1539074381*c_1001_6^7 - 5236110382/1539074381*c_1001_6^6 - 3866117672/1539074381*c_1001_6^5 - 952208161/1539074381*c_1001_6^4 - 4432610098/1539074381*c_1001_6^3 + 2917138841/1539074381*c_1001_6^2 - 3515415721/1539074381*c_1001_6 + 1663239615/1539074381, c_0101_1 - 35006561/1539074381*c_1001_6^10 + 411987829/1539074381*c_1001_6^9 - 147787487/1539074381*c_1001_6^8 - 1415355859/1539074381*c_1001_6^7 - 2143999464/1539074381*c_1001_6^6 - 457596530/1539074381*c_1001_6^5 + 1887070970/1539074381*c_1001_6^4 + 2282168882/1539074381*c_1001_6^3 + 1895915716/1539074381*c_1001_6^2 - 231968645/1539074381*c_1001_6 - 189529901/1539074381, c_0101_3 - 118682654/1539074381*c_1001_6^10 + 1515623984/1539074381*c_1001_6^9 - 2162588014/1539074381*c_1001_6^8 - 1097875741/1539074381*c_1001_6^7 - 4937311034/1539074381*c_1001_6^6 - 3525131017/1539074381*c_1001_6^5 - 925483586/1539074381*c_1001_6^4 - 3221501981/1539074381*c_1001_6^3 + 1638614865/1539074381*c_1001_6^2 - 4071388225/1539074381*c_1001_6 + 324550242/1539074381, c_1001_6^11 - 13*c_1001_6^10 + 21*c_1001_6^9 + 7*c_1001_6^8 + 37*c_1001_6^7 + 19*c_1001_6^6 - 7*c_1001_6^5 + 21*c_1001_6^4 - 25*c_1001_6^3 + 28*c_1001_6^2 - 17*c_1001_6 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.210 seconds, Total memory usage: 32.09MB