Magma V2.19-8 Tue Aug 20 2013 16:18:21 on localhost [Seed = 4105529818] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2556 geometric_solution 5.86219238 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 4 0132 0132 0132 0132 0 0 0 0 0 1 -1 0 -1 0 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 -1 1 -1 0 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 1.766923990130 1.882406107633 0 5 4 6 0132 0132 3012 0132 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 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 0.273186575166 0.355388562841 3 0 5 4 2031 0132 2031 2310 0 0 0 0 0 -1 0 1 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 0.139091163310 0.852823998305 6 6 2 0 0132 3120 1302 0132 0 0 0 0 0 -1 0 1 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 -1 0 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 0.404177219883 0.570412522357 2 1 0 5 3201 1230 0132 0132 0 0 0 0 0 1 0 -1 1 0 -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 1 -1 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 -0.530322989506 0.567884026918 6 1 4 2 3012 0132 0132 1302 0 0 0 0 0 -1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.139091163310 0.852823998305 3 3 1 5 0132 3120 0132 1230 0 0 0 0 0 -1 1 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 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 0.553464052069 0.947756407000 ==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' : d['1'], 's_3_4' : 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' : d['1'], 's_2_5' : d['1'], 's_2_6' : negation(d['1']), 's_1_6' : d['1'], 's_1_5' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : 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' : negation(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_0110_5'], 'c_1100_5' : d['c_0101_2'], 'c_1100_4' : d['c_0101_2'], 's_3_6' : negation(d['1']), 'c_1100_1' : d['c_0110_5'], 'c_1100_0' : d['c_0101_2'], 'c_1100_3' : d['c_0101_2'], 'c_1100_2' : d['c_0011_4'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0011_3']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0011_0'], '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_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(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' : negation(d['c_0011_0']), 'c_1001_5' : d['c_0101_1'], 'c_1001_4' : negation(d['c_0110_5']), 'c_1001_6' : d['c_0101_1'], 'c_1001_1' : negation(d['c_0011_4']), 'c_1001_0' : d['c_0011_3'], 'c_1001_3' : negation(d['c_0101_1']), 'c_1001_2' : negation(d['c_0110_5']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_1']), 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : negation(d['c_0011_3']), 'c_0110_6' : d['c_0011_0'], 'c_1010_6' : negation(d['c_0011_3']), 'c_1010_5' : negation(d['c_0011_4']), 'c_1010_4' : d['c_0101_1'], 'c_1010_3' : d['c_0011_3'], 'c_1010_2' : d['c_0011_3'], 'c_1010_1' : d['c_0101_1'], 'c_1010_0' : negation(d['c_0110_5'])})} 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_3, c_0011_4, c_0101_0, c_0101_1, c_0101_2, c_0110_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 3220458629554/10784126615*c_0110_5^9 - 7573418720826/10784126615*c_0110_5^8 - 2677058070117/4313650646*c_0110_5^7 - 2230050628803/4313650646*c_0110_5^6 - 132794425129/743732870*c_0110_5^5 - 46777485008311/172546025840*c_0110_5^4 - 1072076822481/2974931480*c_0110_5^3 + 3380962504131/21568253230*c_0110_5^2 - 19103104857219/86273012920*c_0110_5 + 130960516036391/172546025840, c_0011_0 - 1, c_0011_3 + 13366548/74373287*c_0110_5^9 + 29322384/74373287*c_0110_5^8 + 42293437/74373287*c_0110_5^7 + 56730950/74373287*c_0110_5^6 + 11584165/74373287*c_0110_5^5 - 111206045/594986296*c_0110_5^4 - 97534385/594986296*c_0110_5^3 - 186858577/594986296*c_0110_5^2 + 174296449/594986296*c_0110_5 - 202845969/297493148, c_0011_4 - 7999168/74373287*c_0110_5^9 - 21721256/74373287*c_0110_5^8 - 12824808/74373287*c_0110_5^7 + 16270142/74373287*c_0110_5^6 + 22471814/74373287*c_0110_5^5 + 41271366/74373287*c_0110_5^4 + 69632165/297493148*c_0110_5^3 + 4327077/74373287*c_0110_5^2 + 82607453/297493148*c_0110_5 - 35590417/148746574, c_0101_0 - 53670784/74373287*c_0110_5^9 - 125067788/74373287*c_0110_5^8 - 107037176/74373287*c_0110_5^7 - 96451851/74373287*c_0110_5^6 - 50645764/74373287*c_0110_5^5 - 72478155/74373287*c_0110_5^4 - 909709253/594986296*c_0110_5^3 + 207953457/594986296*c_0110_5^2 - 309039527/594986296*c_0110_5 + 822373763/594986296, c_0101_1 + 30880710/74373287*c_0110_5^9 + 65550866/74373287*c_0110_5^8 + 96886547/148746574*c_0110_5^7 + 99779455/148746574*c_0110_5^6 + 116327391/148746574*c_0110_5^5 + 1011187037/1189972592*c_0110_5^4 + 206406525/297493148*c_0110_5^3 - 119613459/594986296*c_0110_5^2 + 53789197/297493148*c_0110_5 - 691595047/1189972592, c_0101_2 - 7999168/74373287*c_0110_5^9 - 21721256/74373287*c_0110_5^8 - 12824808/74373287*c_0110_5^7 + 16270142/74373287*c_0110_5^6 + 22471814/74373287*c_0110_5^5 + 41271366/74373287*c_0110_5^4 + 69632165/297493148*c_0110_5^3 + 4327077/74373287*c_0110_5^2 + 82607453/297493148*c_0110_5 - 35590417/148746574, c_0110_5^10 + 2*c_0110_5^9 + 5/4*c_0110_5^8 + c_0110_5^7 + 23/32*c_0110_5^5 + 29/32*c_0110_5^4 - 15/16*c_0110_5^3 + 15/16*c_0110_5^2 - 89/32*c_0110_5 + 29/32 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.210 seconds, Total memory usage: 32.09MB