Magma V2.19-8 Tue Aug 20 2013 16:14:14 on localhost [Seed = 2017059925] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s201 geometric_solution 4.32562926 oriented_manifold CS_known 0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 6 0 0 1 1 1230 3012 0132 2310 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 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 1.475790130044 0.289889300054 0 2 2 0 3201 0132 1023 0132 0 0 0 0 0 -1 0 1 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 1 -1 0 0 0 0 1 -1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.056654217259 0.339856490627 3 1 1 4 0132 0132 1023 0132 0 0 0 0 0 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 1 0 -1 0 -1 1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.695159561197 0.316292844731 2 4 5 4 0132 1302 0132 2031 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.596252098228 0.391519985465 5 3 2 3 2310 1302 0132 2031 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 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 0.596252098228 0.391519985465 5 5 4 3 1230 3012 3201 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 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 0.828131156832 0.769490076107 ==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' : negation(d['1']), 's_3_5' : d['1'], 's_3_4' : negation(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' : negation(d['1']), 's_2_5' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : negation(d['1']), 's_1_2' : d['1'], 's_1_1' : d['1'], 's_1_0' : d['1'], 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_5' : negation(d['c_0011_1']), 'c_1100_4' : negation(d['c_0011_1']), 'c_1100_1' : d['c_0011_1'], 'c_1100_0' : d['c_0011_1'], 'c_1100_3' : negation(d['c_0011_1']), 'c_1100_2' : negation(d['c_0011_1']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0011_5'], 'c_0101_3' : d['c_0011_5'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_1'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_1'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : negation(d['c_0011_5']), 'c_1001_4' : d['c_0101_2'], 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0101_5']), 'c_1001_2' : negation(d['c_0011_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_2'], 'c_0110_2' : d['c_0011_5'], 'c_0110_5' : d['c_0011_5'], 'c_0110_4' : negation(d['c_0101_5']), 'c_1010_5' : negation(d['c_0101_5']), 'c_1010_4' : d['c_0011_1'], 'c_1010_3' : d['c_0011_1'], 'c_1010_2' : d['c_0101_2'], '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 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_5, c_0101_0, c_0101_2, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t + 15408029172329/5141877728496*c_0101_5^13 - 1892785580188187/5141877728496*c_0101_5^11 - 557028648229169/5141877728496*c_0101_5^9 + 1040339853118441/5141877728496*c_0101_5^7 + 6189138456081881/1285469432124*c_0101_5^5 - 4964036044035427/1713959242832*c_0101_5^3 + 413330981025859/1285469432124*c_0101_5, c_0011_0 - 1, c_0011_1 + 14058761289/428489810708*c_0101_5^12 - 1726175871159/428489810708*c_0101_5^10 - 613669013829/428489810708*c_0101_5^8 + 888327779449/428489810708*c_0101_5^6 + 5671312095295/107122452677*c_0101_5^4 - 11949526570813/428489810708*c_0101_5^2 + 292901216368/107122452677, c_0011_5 - 525651893/428489810708*c_0101_5^12 + 65285480047/428489810708*c_0101_5^10 - 68271330379/428489810708*c_0101_5^8 - 88971121505/428489810708*c_0101_5^6 - 180220031587/107122452677*c_0101_5^4 + 1617574394893/428489810708*c_0101_5^2 - 98196070476/107122452677, c_0101_0 - 45962934999/856979621416*c_0101_5^13 + 5646216219797/856979621416*c_0101_5^11 + 1667332839207/856979621416*c_0101_5^9 - 2903958399671/856979621416*c_0101_5^7 - 18404136851747/214244905354*c_0101_5^5 + 44411865925151/856979621416*c_0101_5^3 - 1737180726043/214244905354*c_0101_5, c_0101_2 + 2361958173/856979621416*c_0101_5^13 - 286855561147/856979621416*c_0101_5^11 - 489983622417/856979621416*c_0101_5^9 - 12377465823/856979621416*c_0101_5^7 + 493446451831/107122452677*c_0101_5^5 + 2692301822307/856979621416*c_0101_5^3 - 297488732745/107122452677*c_0101_5, c_0101_5^14 - 123*c_0101_5^12 - 17*c_0101_5^10 + 73*c_0101_5^8 + 1596*c_0101_5^6 - 1217*c_0101_5^4 + 260*c_0101_5^2 - 16 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB