Magma V2.19-8 Tue Aug 20 2013 16:19:12 on localhost [Seed = 3465499594] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3328 geometric_solution 6.46255141 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 1 2 3 0132 0321 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 -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 0.366296845881 0.558161366904 0 4 3 0 0132 0132 1230 0321 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 1 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.888629933495 0.782699115710 5 4 6 0 0132 1230 0132 0132 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 0 0 0 0 0.217513170757 0.887522289497 5 5 0 1 3012 2103 0132 3012 0 0 0 0 0 0 0 0 -1 0 0 1 -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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.605232999089 1.170874490120 5 1 2 6 2031 0132 3012 1302 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.739507616132 1.062891024586 2 3 4 3 0132 2103 1302 1230 0 0 0 0 0 -1 0 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 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 0.376089707696 0.841940634441 6 6 4 2 1230 3012 2031 0132 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 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 1.739507616132 1.062891024586 ==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' : d['1'], 's_3_0' : d['1'], 's_2_0' : negation(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_2_6' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : negation(d['1']), 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : negation(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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : negation(d['c_1001_1']), 'c_1100_5' : d['c_0101_4'], 'c_1100_4' : d['c_0101_6'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0101_4'], 'c_1100_0' : negation(d['c_1001_1']), 'c_1100_3' : negation(d['c_1001_1']), 'c_1100_2' : negation(d['c_1001_1']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0011_0']), 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0011_3'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_0']), 'c_0011_5' : negation(d['c_0011_2']), 'c_0011_4' : d['c_0011_0'], 'c_0011_6' : d['c_0011_3'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : d['c_0011_3'], 'c_1001_4' : negation(d['c_0011_2']), 'c_1001_6' : negation(d['c_0011_3']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0101_4'], 'c_1001_3' : negation(d['c_0011_2']), 'c_1001_2' : negation(d['c_0101_6']), 'c_0110_1' : negation(d['c_0011_0']), 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_4'], 'c_0110_2' : negation(d['c_0011_0']), 'c_0110_5' : d['c_0011_3'], 'c_0110_4' : d['c_0011_3'], 'c_0110_6' : d['c_0011_3'], 'c_1010_6' : negation(d['c_0101_6']), 'c_1010_5' : d['c_0101_1'], 'c_1010_4' : d['c_1001_1'], 'c_1010_3' : negation(d['c_0101_1']), 'c_1010_2' : d['c_0101_4'], 'c_1010_1' : negation(d['c_0011_2']), 'c_1010_0' : negation(d['c_0011_2'])})} 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_2, c_0011_3, c_0101_1, c_0101_4, c_0101_6, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t - 6692688635189/530161534069236*c_1001_1^12 + 70804981888985/176720511356412*c_1001_1^10 - 1106706784235333/1060323068138472*c_1001_1^8 - 3148734870725807/2120646136276944*c_1001_1^6 + 505171124234017/706882045425648*c_1001_1^4 + 41999492977897051/2120646136276944*c_1001_1^2 - 49024234085010341/2120646136276944, c_0011_0 - 1, c_0011_2 + 126469628752/132540383517309*c_1001_1^13 - 3728635189448/132540383517309*c_1001_1^11 + 232378758362/14726709279701*c_1001_1^9 + 18437538601966/132540383517309*c_1001_1^7 + 28526056872877/132540383517309*c_1001_1^5 - 210831614037941/265080767034618*c_1001_1^3 - 10597104065225/29453418559402*c_1001_1, c_0011_3 - 84762643685/44180127839103*c_1001_1^13 + 7742093716082/132540383517309*c_1001_1^11 - 21631727396171/265080767034618*c_1001_1^9 - 66449596761953/176720511356412*c_1001_1^7 - 96296016201773/265080767034618*c_1001_1^5 + 1378790910575015/530161534069236*c_1001_1^3 + 18490897014070/132540383517309*c_1001_1, c_0101_1 - 9750821549/7796493148077*c_1001_1^12 + 293216788018/7796493148077*c_1001_1^10 - 219672560267/5197662098718*c_1001_1^8 - 5557823995025/31185972592308*c_1001_1^6 - 684045545665/15592986296154*c_1001_1^4 + 45541975084277/31185972592308*c_1001_1^2 - 2376926272106/2598831049359, c_0101_4 + 126469628752/132540383517309*c_1001_1^13 - 3728635189448/132540383517309*c_1001_1^11 + 232378758362/14726709279701*c_1001_1^9 + 18437538601966/132540383517309*c_1001_1^7 + 28526056872877/132540383517309*c_1001_1^5 - 210831614037941/265080767034618*c_1001_1^3 - 10597104065225/29453418559402*c_1001_1, c_0101_6 + 4369414324/2598831049359*c_1001_1^12 - 132262865074/2598831049359*c_1001_1^10 + 175843133620/2598831049359*c_1001_1^8 + 514247015050/2598831049359*c_1001_1^6 + 1382942532733/5197662098718*c_1001_1^4 - 3874641464161/1732554032906*c_1001_1^2 + 1818607125938/2598831049359, c_1001_1^14 - 31*c_1001_1^12 + 121/2*c_1001_1^10 + 563/4*c_1001_1^8 + 305/4*c_1001_1^6 - 5483/4*c_1001_1^4 + 3561/4*c_1001_1^2 - 289 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB