Magma V2.19-8 Tue Aug 20 2013 16:16:13 on localhost [Seed = 2294879305] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0481 geometric_solution 4.50445471 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 0 1 0 0132 2310 1023 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.886409654911 0.100540914071 0 2 0 2 0132 0132 1023 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.889189026842 0.155092637134 3 1 4 1 0132 0132 0132 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.985562597713 0.293630375992 2 4 4 5 0132 0213 3012 0132 0 0 0 0 0 1 0 -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 -1 1 0 0 1 -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 0.847678242450 0.636822822318 5 3 3 2 0132 1230 0213 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.847678242450 0.636822822318 4 6 3 6 0132 0132 0132 1023 0 0 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 -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 1.990102645656 0.838391753809 6 5 6 5 2031 0132 1302 1023 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 -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 0.451744189799 0.347077897891 ==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' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : negation(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' : 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' : negation(d['c_0011_4']), 'c_1100_5' : d['c_0011_4'], 'c_1100_4' : negation(d['c_0011_0']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : d['c_0011_4'], 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_6' : negation(d['c_0011_4']), 'c_0101_5' : d['c_0101_2'], 'c_0101_4' : negation(d['c_0011_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' : negation(d['c_0011_4']), 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : d['c_0011_4'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_0']), 'c_0011_2' : d['c_0011_0'], 'c_1001_5' : negation(d['c_0011_0']), 'c_1001_4' : negation(d['c_0011_4']), 'c_1001_6' : d['c_0110_6'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : negation(d['c_0011_4']), 'c_1001_2' : d['c_0101_3'], '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' : negation(d['c_0011_0']), 'c_0110_4' : d['c_0101_2'], 'c_0110_6' : d['c_0110_6'], 'c_1010_6' : negation(d['c_0011_0']), 'c_1010_5' : d['c_0110_6'], 'c_1010_4' : d['c_0101_3'], 'c_1010_3' : negation(d['c_0011_0']), 'c_1010_2' : d['c_0101_0'], 'c_1010_1' : d['c_0101_3'], 'c_1010_0' : negation(d['c_0101_1'])})} 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_0101_0, c_0101_1, c_0101_2, c_0101_3, c_0110_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t - 280558963/42898177*c_0110_6^12 + 1946814015/42898177*c_0110_6^11 - 4707764954/42898177*c_0110_6^10 + 6775325712/42898177*c_0110_6^9 - 12493789527/42898177*c_0110_6^8 + 20646497453/42898177*c_0110_6^7 - 25886923401/42898177*c_0110_6^6 + 30270516072/42898177*c_0110_6^5 - 4249745695/6128311*c_0110_6^4 + 25525953583/42898177*c_0110_6^3 - 16941892353/42898177*c_0110_6^2 + 7527064113/42898177*c_0110_6 - 2286650320/42898177, c_0011_0 - 1, c_0011_4 + 119047/149471*c_0110_6^12 - 794739/149471*c_0110_6^11 + 1772494/149471*c_0110_6^10 - 2293110/149471*c_0110_6^9 + 4433897/149471*c_0110_6^8 - 1047795/21353*c_0110_6^7 + 8552074/149471*c_0110_6^6 - 9530874/149471*c_0110_6^5 + 9242869/149471*c_0110_6^4 - 7458527/149471*c_0110_6^3 + 591924/21353*c_0110_6^2 - 1499173/149471*c_0110_6 + 42634/21353, c_0101_0 + 77180/149471*c_0110_6^12 - 579790/149471*c_0110_6^11 + 1630646/149471*c_0110_6^10 - 2736378/149471*c_0110_6^9 + 4558168/149471*c_0110_6^8 - 1073176/21353*c_0110_6^7 + 10738622/149471*c_0110_6^6 - 12452254/149471*c_0110_6^5 + 12311256/149471*c_0110_6^4 - 11408263/149471*c_0110_6^3 + 1134212/21353*c_0110_6^2 - 3874315/149471*c_0110_6 + 152826/21353, c_0101_1 - 20117/149471*c_0110_6^12 + 142272/149471*c_0110_6^11 - 388267/149471*c_0110_6^10 + 704008/149471*c_0110_6^9 - 1185656/149471*c_0110_6^8 + 249284/21353*c_0110_6^7 - 2740706/149471*c_0110_6^6 + 3214083/149471*c_0110_6^5 - 3000798/149471*c_0110_6^4 + 2988324/149471*c_0110_6^3 - 278992/21353*c_0110_6^2 + 1070372/149471*c_0110_6 - 32720/21353, c_0101_2 + 21281/149471*c_0110_6^12 - 51201/149471*c_0110_6^11 - 283995/149471*c_0110_6^10 + 899973/149471*c_0110_6^9 - 846002/149471*c_0110_6^8 + 274677/21353*c_0110_6^7 - 3823200/149471*c_0110_6^6 + 4359717/149471*c_0110_6^5 - 5061864/149471*c_0110_6^4 + 5156917/149471*c_0110_6^3 - 621643/21353*c_0110_6^2 + 2547897/149471*c_0110_6 - 116883/21353, c_0101_3 - 38590/149471*c_0110_6^12 + 289895/149471*c_0110_6^11 - 815323/149471*c_0110_6^10 + 1368189/149471*c_0110_6^9 - 2279084/149471*c_0110_6^8 + 536588/21353*c_0110_6^7 - 5369311/149471*c_0110_6^6 + 6226127/149471*c_0110_6^5 - 6155628/149471*c_0110_6^4 + 5778867/149471*c_0110_6^3 - 588459/21353*c_0110_6^2 + 1862422/149471*c_0110_6 - 76413/21353, c_0110_6^13 - 8*c_0110_6^12 + 24*c_0110_6^11 - 41*c_0110_6^10 + 68*c_0110_6^9 - 118*c_0110_6^8 + 165*c_0110_6^7 - 197*c_0110_6^6 + 210*c_0110_6^5 - 192*c_0110_6^4 + 146*c_0110_6^3 - 82*c_0110_6^2 + 32*c_0110_6 - 7 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB