Magma V2.19-8 Tue Aug 20 2013 16:17:03 on localhost [Seed = 2699115634] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1302 geometric_solution 5.19056298 oriented_manifold CS_known 0.0000000000000001 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 0.398017219576 0.110692511718 2 0 3 0 0132 2310 0132 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 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 0.269903551211 0.537881707463 1 4 3 5 0132 0132 3012 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 -1 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 0.970519746233 2.461735332617 6 2 4 1 0132 1230 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 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 0.970519746233 2.461735332617 3 2 6 5 2310 0132 0213 0213 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 -1 1 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 0.152855026775 0.942211458700 6 6 2 4 3120 0213 0132 0213 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 1 0 -1 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 0.386808355917 0.339492939659 3 4 5 5 0132 0213 0213 3120 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 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 0.386808355917 0.339492939659 ==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' : negation(d['1']), 's_3_5' : 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' : 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' : negation(d['1']), 's_0_4' : d['1'], 's_0_5' : negation(d['1']), 's_0_2' : negation(d['1']), 's_0_3' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : negation(d['1']), 'c_1100_6' : negation(d['c_0011_5']), 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : negation(d['c_0011_5']), 's_3_6' : negation(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' : negation(d['c_0011_3']), 'c_0101_6' : d['c_0011_5'], 'c_0101_5' : d['c_0011_5'], 'c_0101_4' : negation(d['c_0011_3']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0011_5'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_1'], '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_1001_4'], 'c_1001_4' : d['c_1001_4'], 'c_1001_6' : d['c_1001_4'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : 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_0011_5'], 'c_0110_2' : d['c_0011_5'], 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : negation(d['c_0101_3']), 'c_0110_6' : d['c_0101_3'], 'c_1010_6' : negation(d['c_0011_5']), 'c_1010_5' : negation(d['c_0011_5']), 'c_1010_4' : negation(d['c_0011_3']), 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : d['c_1001_4'], '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_0011_5, c_0101_0, c_0101_3, c_1001_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t - 2748504726332832765/21826962923668136*c_1001_4^15 - 15471952088066078101/2728370365458517*c_1001_4^13 - 524309907673652342199/10913481461834068*c_1001_4^11 + 2501850458460838929439/5456740730917034*c_1001_4^9 - 83120556101840428071/77127077468792*c_1001_4^7 + 1753281478687165524118/2728370365458517*c_1001_4^5 - 1580908313019697833485/21826962923668136*c_1001_4^3 + 45632669077447144295/5456740730917034*c_1001_4, c_0011_0 - 1, c_0011_1 - 369093697827/209874643496809*c_1001_4^14 - 16984956630116/209874643496809*c_1001_4^12 - 157339147070327/209874643496809*c_1001_4^10 + 1198014912368100/209874643496809*c_1001_4^8 - 6703202310357/741606514123*c_1001_4^6 - 621065437397816/209874643496809*c_1001_4^4 + 279436794341309/209874643496809*c_1001_4^2 + 102810728131365/209874643496809, c_0011_3 - 3518535563147/209874643496809*c_1001_4^14 - 158688985907541/209874643496809*c_1001_4^12 - 1353223417798244/209874643496809*c_1001_4^10 + 12712182588215500/209874643496809*c_1001_4^8 - 103670087034576/741606514123*c_1001_4^6 + 16533338214745221/209874643496809*c_1001_4^4 - 1735909677478226/209874643496809*c_1001_4^2 + 117011245185259/209874643496809, c_0011_5 + 417628177773/209874643496809*c_1001_4^14 + 18849660946687/209874643496809*c_1001_4^12 + 161329951420463/209874643496809*c_1001_4^10 - 1500407577209663/209874643496809*c_1001_4^8 + 12202089132243/741606514123*c_1001_4^6 - 2128360835437986/209874643496809*c_1001_4^4 + 712019035026825/209874643496809*c_1001_4^2 - 60896234556971/209874643496809, c_0101_0 + 24869795743184/209874643496809*c_1001_4^15 + 1120123023872379/209874643496809*c_1001_4^13 + 9494463203703492/209874643496809*c_1001_4^11 - 90512880036758512/209874643496809*c_1001_4^9 + 749810202921486/741606514123*c_1001_4^7 - 124603722661663824/209874643496809*c_1001_4^5 + 11511427623140140/209874643496809*c_1001_4^3 - 1041626748137705/209874643496809*c_1001_4, c_0101_3 + c_1001_4, c_1001_4^16 + 45*c_1001_4^14 + 380*c_1001_4^12 - 3654*c_1001_4^10 + 8681*c_1001_4^8 - 5387*c_1001_4^6 + 735*c_1001_4^4 - 79*c_1001_4^2 + 2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB