Magma V2.19-8 Tue Aug 20 2013 23:29:52 on localhost [Seed = 1275734533] Type ? for help. Type -D to quit. Loading file "K9n2__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K9n2 geometric_solution 8.60203117 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 9 1 2 1 3 0132 0132 3012 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 -1 1 0 3 0 -3 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 0.258406273273 0.785922306433 0 0 5 4 0132 1230 0132 0132 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 3 -3 0 -3 0 0 3 1 0 0 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.635124543110 0.673088953970 3 0 5 6 3120 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 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 0.701517004485 0.503342805451 7 6 0 2 0132 0132 0132 3120 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.106756184549 0.791868716081 8 7 1 6 0132 1230 0132 1230 0 0 0 0 0 -1 0 1 1 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 -4 0 4 4 0 -3 -1 0 0 0 0 -4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.286386208258 1.110275503883 8 2 7 1 2103 1230 0213 0132 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 -3 3 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 0.754135766605 0.901642308336 4 3 2 8 3012 0132 0132 3201 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 -4 0 0 4 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.859915827552 1.159477041737 3 5 4 8 0132 0213 3012 2103 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 0 0 0 0 0 0 0 3 -3 0 0 0 4 -4 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.868928309203 0.643667996564 4 6 5 7 0132 2310 2103 2103 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 0 0 -4 0 0 4 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.369512084814 1.400903227526 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_5' : negation(d['c_0011_4']), 'c_1001_4' : d['c_0101_0'], 'c_1001_7' : negation(d['c_0011_4']), 'c_1001_6' : d['c_0011_0'], 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : d['c_0011_0'], 'c_1001_3' : negation(d['c_0011_5']), 'c_1001_2' : negation(d['c_0011_5']), 'c_1001_8' : d['c_0011_5'], 's_2_8' : d['1'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : negation(d['1']), 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : negation(d['1']), 's_2_7' : d['1'], 's_0_8' : d['1'], 's_0_6' : d['1'], 's_0_7' : 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_8' : negation(d['c_0101_1']), 'c_1100_5' : d['c_0110_6'], 'c_1100_4' : d['c_0110_6'], 'c_1100_7' : negation(d['c_0101_0']), 'c_1100_6' : d['c_0011_4'], 'c_1100_1' : d['c_0110_6'], 'c_1100_0' : negation(d['c_0101_2']), 'c_1100_3' : negation(d['c_0101_2']), 'c_1100_2' : d['c_0011_4'], 'c_1010_7' : d['c_0110_6'], 'c_1010_6' : negation(d['c_0011_5']), 'c_1010_5' : d['c_0101_2'], 'c_1010_4' : d['c_0101_6'], 'c_1010_3' : d['c_0011_0'], 'c_1010_2' : d['c_0011_0'], 'c_1010_1' : d['c_0101_0'], 'c_1010_0' : negation(d['c_0011_5']), 'c_1010_8' : negation(d['c_0110_6']), 's_3_1' : d['1'], 's_3_0' : negation(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_7' : d['1'], 's_3_6' : d['1'], 's_3_8' : d['1'], 's_1_7' : d['1'], 's_1_6' : negation(d['1']), 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : negation(d['1']), 's_1_2' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_1_8' : d['1'], 'c_0011_8' : negation(d['c_0011_4']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_3']), '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_0101_7' : d['c_0101_6'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0011_3']), 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_8' : negation(d['c_0011_3']), 'c_0110_8' : d['c_0101_0'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_6'], 'c_0110_2' : d['c_0101_6'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : negation(d['c_0011_3']), 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0110_6']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 10 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_4, c_0011_5, c_0101_0, c_0101_1, c_0101_2, c_0101_6, c_0110_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t + 198679389/14441843*c_0110_6^12 + 329228603/28883686*c_0110_6^11 - 31027557/14441843*c_0110_6^10 + 797080223/28883686*c_0110_6^9 - 2117665587/28883686*c_0110_6^8 - 2033495079/28883686*c_0110_6^7 + 90592594/1110911*c_0110_6^6 - 3743106843/14441843*c_0110_6^5 - 3175398295/14441843*c_0110_6^4 + 16703154471/28883686*c_0110_6^3 + 11379605729/14441843*c_0110_6^2 + 10812078157/28883686*c_0110_6 + 1751144303/28883686, c_0011_0 - 1, c_0011_3 + 161922/58469*c_0110_6^12 + 78509/58469*c_0110_6^11 + 7542/58469*c_0110_6^10 + 291566/58469*c_0110_6^9 - 930920/58469*c_0110_6^8 - 428741/58469*c_0110_6^7 + 685244/58469*c_0110_6^6 - 3022085/58469*c_0110_6^5 - 1536464/58469*c_0110_6^4 + 6192422/58469*c_0110_6^3 + 7713386/58469*c_0110_6^2 + 3495126/58469*c_0110_6 + 561215/58469, c_0011_4 + 100553/58469*c_0110_6^12 + 11147/58469*c_0110_6^11 + 29911/58469*c_0110_6^10 + 158743/58469*c_0110_6^9 - 633817/58469*c_0110_6^8 + 25396/58469*c_0110_6^7 + 190078/58469*c_0110_6^6 - 1831794/58469*c_0110_6^5 - 209636/58469*c_0110_6^4 + 3288581/58469*c_0110_6^3 + 3869177/58469*c_0110_6^2 + 1674130/58469*c_0110_6 + 271366/58469, c_0011_5 - 109444/58469*c_0110_6^12 - 92304/58469*c_0110_6^11 + 18689/58469*c_0110_6^10 - 221255/58469*c_0110_6^9 + 584653/58469*c_0110_6^8 + 565638/58469*c_0110_6^7 - 646190/58469*c_0110_6^6 + 2052581/58469*c_0110_6^5 + 1787696/58469*c_0110_6^4 - 4600488/58469*c_0110_6^3 - 6365457/58469*c_0110_6^2 - 2947605/58469*c_0110_6 - 478315/58469, c_0101_0 - 138834/58469*c_0110_6^12 - 28596/58469*c_0110_6^11 + 1632/58469*c_0110_6^10 - 262279/58469*c_0110_6^9 + 889330/58469*c_0110_6^8 + 100029/58469*c_0110_6^7 - 604655/58469*c_0110_6^6 + 2830846/58469*c_0110_6^5 + 421996/58469*c_0110_6^4 - 5345128/58469*c_0110_6^3 - 4999264/58469*c_0110_6^2 - 1804052/58469*c_0110_6 - 208256/58469, c_0101_1 - 69422/58469*c_0110_6^12 - 40826/58469*c_0110_6^11 + 26964/58469*c_0110_6^10 - 155865/58469*c_0110_6^9 + 414229/58469*c_0110_6^8 + 260177/58469*c_0110_6^7 - 536654/58469*c_0110_6^6 + 1522417/58469*c_0110_6^5 + 704022/58469*c_0110_6^4 - 3198852/58469*c_0110_6^3 - 2983992/58469*c_0110_6^2 - 1110412/58469*c_0110_6 - 70252/58469, c_0101_2 - 7027/58469*c_0110_6^12 - 49392/58469*c_0110_6^11 + 41561/58469*c_0110_6^10 - 59560/58469*c_0110_6^9 + 1166/58469*c_0110_6^8 + 357038/58469*c_0110_6^7 - 381716/58469*c_0110_6^6 + 314526/58469*c_0110_6^5 + 833458/58469*c_0110_6^4 - 1017972/58469*c_0110_6^3 - 1251295/58469*c_0110_6^2 - 719479/58469*c_0110_6 - 77986/58469, c_0101_6 - 100040/58469*c_0110_6^12 - 49111/58469*c_0110_6^11 - 11428/58469*c_0110_6^10 - 177002/58469*c_0110_6^9 + 575837/58469*c_0110_6^8 + 250103/58469*c_0110_6^7 - 360192/58469*c_0110_6^6 + 1822994/58469*c_0110_6^5 + 937768/58469*c_0110_6^4 - 3620827/58469*c_0110_6^3 - 4924933/58469*c_0110_6^2 - 2359927/58469*c_0110_6 - 390923/58469, c_0110_6^13 + c_0110_6^12 + 2*c_0110_6^10 - 5*c_0110_6^9 - 6*c_0110_6^8 + 5*c_0110_6^7 - 18*c_0110_6^6 - 19*c_0110_6^5 + 39*c_0110_6^4 + 64*c_0110_6^3 + 38*c_0110_6^2 + 10*c_0110_6 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.230 seconds, Total memory usage: 32.09MB