Magma V2.19-8 Tue Aug 20 2013 16:18:51 on localhost [Seed = 1225315384] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3019 geometric_solution 6.19195553 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 1 2 0 0 0132 0132 1230 3012 0 0 0 0 0 -1 0 1 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 1 -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 0.031652606373 1.034584759672 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 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 0.303487384462 1.166957195190 3 0 4 5 0132 0132 2310 2310 0 0 0 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 0 0 0 0 0 0 0 0 0 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 0.303487384462 1.166957195190 2 1 6 6 0132 0132 0132 2310 0 0 0 0 0 1 0 -1 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 -1 0 1 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 -0.341330658692 0.570140325269 5 2 1 5 2310 3201 0132 3201 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 -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 0.564327371129 0.642215576385 2 4 4 1 3201 2310 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.544079833685 0.803126353082 3 6 6 3 3201 3201 2310 0132 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 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 -0.604930081454 1.067211158044 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(d['1']), 's_3_3' : 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' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : negation(d['1']), 's_2_5' : negation(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' : negation(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_6'], 'c_1100_5' : negation(d['c_0011_4']), 'c_1100_4' : negation(d['c_0011_4']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_4']), 'c_1100_0' : d['c_0101_1'], 'c_1100_3' : d['c_0011_6'], 'c_1100_2' : d['c_0011_4'], 'c_0101_6' : negation(d['c_0101_2']), 'c_0101_5' : negation(d['c_0101_3']), 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_4'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : d['c_0011_6'], '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' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0101_0']), 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_6' : d['c_0101_2'], 'c_1001_1' : negation(d['c_0101_3']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_2']), 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_2'], 'c_0110_2' : d['c_0101_3'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_3'], 'c_0110_6' : d['c_0101_3'], 'c_1010_6' : negation(d['c_0101_2']), 'c_1010_5' : negation(d['c_0101_3']), 'c_1010_4' : d['c_0101_0'], 'c_1010_3' : negation(d['c_0101_3']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0101_2']), '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_4, c_0011_6, c_0101_0, c_0101_1, c_0101_2, c_0101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t + 1622613681093825/21936261058*c_0101_3^13 + 10953309305814971/1403920707712*c_0101_3^11 - 30740162677900739/1403920707712*c_0101_3^9 - 5644181304820583/350980176928*c_0101_3^7 - 4773462597435069/1403920707712*c_0101_3^5 - 675503491072687/1403920707712*c_0101_3^3 - 43943131607011/1403920707712*c_0101_3, c_0011_0 - 1, c_0011_4 + 40334931844416/54840652645*c_0101_3^13 + 5390888920331/10968130529*c_0101_3^11 - 1474647811303/10968130529*c_0101_3^9 - 16894741258288/54840652645*c_0101_3^7 - 7365702352504/54840652645*c_0101_3^5 - 1318697285881/54840652645*c_0101_3^3 - 22563317434/54840652645*c_0101_3, c_0011_6 - 147949447104/255072803*c_0101_3^12 - 10298916709/255072803*c_0101_3^10 + 46445115001/255072803*c_0101_3^8 + 33756333860/255072803*c_0101_3^6 + 4525502144/255072803*c_0101_3^4 - 452739458/255072803*c_0101_3^2 - 421788822/255072803, c_0101_0 + 55335439593792/54840652645*c_0101_3^12 + 3687845769403/10968130529*c_0101_3^10 - 2614088342399/10968130529*c_0101_3^8 - 15827581607716/54840652645*c_0101_3^6 - 5971044475793/54840652645*c_0101_3^4 - 1182504778512/54840652645*c_0101_3^2 - 111019248578/54840652645, c_0101_1 - 59035535669376/54840652645*c_0101_3^12 - 2793191530782/10968130529*c_0101_3^10 + 3475634750118/10968130529*c_0101_3^8 + 15486576827303/54840652645*c_0101_3^6 + 4244528970139/54840652645*c_0101_3^4 + 480976701196/54840652645*c_0101_3^2 - 9228390821/54840652645, c_0101_2 + 463318351488/255072803*c_0101_3^13 + 370564067102/255072803*c_0101_3^11 - 70874392558/255072803*c_0101_3^9 - 201538630753/255072803*c_0101_3^7 - 102455950084/255072803*c_0101_3^5 - 21362293032/255072803*c_0101_3^3 - 1693630838/255072803*c_0101_3, c_0101_3^14 + 2923/5184*c_0101_3^12 - 865/5184*c_0101_3^10 - 911/2592*c_0101_3^8 - 295/1728*c_0101_3^6 - 221/5184*c_0101_3^4 - 29/5184*c_0101_3^2 - 1/2592 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.210 seconds, Total memory usage: 32.09MB