Magma V2.19-8 Tue Aug 20 2013 16:16:30 on localhost [Seed = 3297073185] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0781 geometric_solution 4.72190445 oriented_manifold CS_known 0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1230 3012 0132 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.603030462688 0.239787073520 2 0 3 0 0132 2310 0132 0132 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 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 0.965081478322 0.329584241062 1 3 3 4 0132 0213 3012 0132 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 -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 0.779663861390 0.665219101210 4 2 2 1 0132 1230 0213 0132 0 0 0 0 0 0 0 0 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 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 0.779663861390 0.665219101210 3 5 2 5 0132 0132 0132 1023 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 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 2.085895594298 0.900309732603 6 4 6 4 0132 0132 1023 1023 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.597533601045 0.384363500638 5 6 5 6 0132 1302 1023 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 0.575385130173 0.094354487330 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { '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_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_3'], 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : d['c_0011_3'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_1']), 'c_1100_0' : negation(d['c_0011_1']), 'c_1100_3' : negation(d['c_0011_1']), 'c_1100_2' : d['c_0011_3'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_1']), 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_3'], 'c_0011_4' : negation(d['c_0011_3']), 'c_0011_6' : negation(d['c_0011_3']), 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : d['c_0101_6'], 'c_1001_4' : negation(d['c_0011_1']), 'c_1001_6' : d['c_0101_5'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0011_3']), 'c_1001_2' : negation(d['c_0011_3']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : d['c_0101_6'], 'c_0110_4' : negation(d['c_0011_1']), 'c_0110_6' : d['c_0101_5'], 'c_1010_6' : negation(d['c_0011_3']), 'c_1010_5' : negation(d['c_0011_1']), 'c_1010_4' : d['c_0101_6'], 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : negation(d['c_0011_1']), 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : negation(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_1, c_0011_3, c_0101_0, c_0101_1, c_0101_5, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 3 Groebner basis: [ t + 5*c_0101_6^2 - 13*c_0101_6 + 4, c_0011_0 - 1, c_0011_1 - c_0101_6, c_0011_3 + 1, c_0101_0 + c_0101_6^2 - c_0101_6 - 1, c_0101_1 - c_0101_6^2 + c_0101_6 + 1, c_0101_5 + c_0101_6^2 - c_0101_6 - 1, c_0101_6^3 - 2*c_0101_6^2 - c_0101_6 + 1 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_3, c_0101_0, c_0101_1, c_0101_5, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 81795611/2046712*c_0101_6^9 + 334090803/2046712*c_0101_6^8 - 218397225/1023356*c_0101_6^7 - 46039625/2046712*c_0101_6^6 + 430546349/511678*c_0101_6^5 - 590571136/255839*c_0101_6^4 + 7671790359/2046712*c_0101_6^3 - 927898833/255839*c_0101_6^2 + 3636044119/2046712*c_0101_6 - 953508987/2046712, c_0011_0 - 1, c_0011_1 - 10093/511678*c_0101_6^9 + 102281/511678*c_0101_6^8 - 108861/255839*c_0101_6^7 + 13919/511678*c_0101_6^6 + 248583/255839*c_0101_6^5 - 778697/255839*c_0101_6^4 + 2770461/511678*c_0101_6^3 - 1323001/255839*c_0101_6^2 + 778675/511678*c_0101_6 + 322417/511678, c_0011_3 + 100757/511678*c_0101_6^9 - 363779/511678*c_0101_6^8 + 186935/255839*c_0101_6^7 + 220739/511678*c_0101_6^6 - 1001566/255839*c_0101_6^5 + 2458544/255839*c_0101_6^4 - 7274919/511678*c_0101_6^3 + 2863838/255839*c_0101_6^2 - 1813239/511678*c_0101_6 + 19939/511678, c_0101_0 - 17551/511678*c_0101_6^9 + 24655/511678*c_0101_6^8 + 27400/255839*c_0101_6^7 - 160077/511678*c_0101_6^6 + 125834/255839*c_0101_6^5 - 19644/255839*c_0101_6^4 - 265739/511678*c_0101_6^3 + 632331/255839*c_0101_6^2 - 1332085/511678*c_0101_6 + 253643/511678, c_0101_1 + 39329/255839*c_0101_6^9 - 162563/255839*c_0101_6^8 + 214482/255839*c_0101_6^7 + 45406/255839*c_0101_6^6 - 907569/255839*c_0101_6^5 + 2308186/255839*c_0101_6^4 - 3602753/255839*c_0101_6^3 + 3233797/255839*c_0101_6^2 - 818499/255839*c_0101_6 - 11172/255839, c_0101_5 - 25330/255839*c_0101_6^9 + 103613/255839*c_0101_6^8 - 115819/255839*c_0101_6^7 - 66993/255839*c_0101_6^6 + 561619/255839*c_0101_6^5 - 1413941/255839*c_0101_6^4 + 2109186/255839*c_0101_6^3 - 1610730/255839*c_0101_6^2 + 211270/255839*c_0101_6 + 129218/255839, c_0101_6^10 - 4*c_0101_6^9 + 5*c_0101_6^8 + c_0101_6^7 - 21*c_0101_6^6 + 56*c_0101_6^5 - 89*c_0101_6^4 + 83*c_0101_6^3 - 37*c_0101_6^2 + 8*c_0101_6 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB