Magma V2.19-8 Tue Aug 20 2013 16:19:11 on localhost [Seed = 2530675694] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3314 geometric_solution 6.44710432 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 1 2 3 0132 2310 0132 0132 0 0 0 0 0 -1 0 1 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 0.170546253229 0.942660547719 0 4 4 0 0132 0132 3201 3201 0 0 0 0 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 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.106291821014 1.362043837959 5 3 3 0 0132 2031 1230 0132 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 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 0.215869077641 0.654995658471 2 6 0 2 1302 0132 0132 3012 0 0 0 0 0 1 -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 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 0.215869077641 0.654995658471 1 1 6 5 2310 0132 2103 0321 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 0 0 -1 0 0 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 -0.012986939597 0.559132466296 2 4 6 6 0132 0321 1230 0132 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 -1 1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.065525799411 0.956431218608 4 3 5 5 2103 0132 0132 3012 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 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 0.065525799411 0.956431218608 ==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' : 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' : 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' : d['1'], 's_1_1' : negation(d['1']), 's_1_0' : d['1'], 's_0_6' : d['1'], 's_0_4' : negation(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' : d['c_0110_6'], 'c_1100_5' : d['c_0110_6'], 'c_1100_4' : negation(d['c_0110_6']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0110_3'], 'c_1100_3' : d['c_0110_3'], 'c_1100_2' : d['c_0110_3'], 'c_0101_6' : d['c_0101_2'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_2'], 'c_0101_3' : negation(d['c_0011_2']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_2']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_2']), 'c_0011_4' : d['c_0011_0'], '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' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0110_6']), 'c_1001_4' : negation(d['c_0011_3']), 'c_1001_6' : negation(d['c_0101_2']), 'c_1001_1' : negation(d['c_0101_2']), 'c_1001_0' : d['c_0011_3'], 'c_1001_3' : negation(d['c_0101_0']), 'c_1001_2' : negation(d['c_0110_3']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_2']), 'c_0110_3' : d['c_0110_3'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0011_2'], 'c_0110_6' : d['c_0110_6'], 'c_1010_6' : negation(d['c_0101_0']), 'c_1010_5' : negation(d['c_0101_2']), 'c_1010_4' : negation(d['c_0101_2']), 'c_1010_3' : negation(d['c_0101_2']), 'c_1010_2' : d['c_0011_3'], 'c_1010_1' : negation(d['c_0011_3']), '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_2, c_0011_3, c_0101_0, c_0101_2, c_0110_3, c_0110_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t + 91353086334976/56060493597*c_0110_6^13 - 76877371318176/6228943733*c_0110_6^12 + 2262897742667872/56060493597*c_0110_6^11 - 1383400709326000/18686831199*c_0110_6^10 + 4689527960881600/56060493597*c_0110_6^9 - 2413453292734856/56060493597*c_0110_6^8 - 2255593341939170/56060493597*c_0110_6^7 + 6250699300604344/56060493597*c_0110_6^6 - 7525120043297201/56060493597*c_0110_6^5 + 5649844249280963/56060493597*c_0110_6^4 - 945798077349590/18686831199*c_0110_6^3 + 836025670619249/56060493597*c_0110_6^2 - 57317385046936/56060493597*c_0110_6 - 18483040311293/56060493597, c_0011_0 - 1, c_0011_2 + 63435389984/18686831199*c_0110_6^13 - 441412564304/18686831199*c_0110_6^12 + 1280208326704/18686831199*c_0110_6^11 - 1968074169952/18686831199*c_0110_6^10 + 573361987880/6228943733*c_0110_6^9 - 208292099146/18686831199*c_0110_6^8 - 649683699189/6228943733*c_0110_6^7 + 3049038281624/18686831199*c_0110_6^6 - 963539773816/6228943733*c_0110_6^5 + 1619478064012/18686831199*c_0110_6^4 - 497919877231/18686831199*c_0110_6^3 - 5537498365/18686831199*c_0110_6^2 + 93585520031/18686831199*c_0110_6 - 3294399882/6228943733, c_0011_3 + 63435389984/18686831199*c_0110_6^13 - 441412564304/18686831199*c_0110_6^12 + 1280208326704/18686831199*c_0110_6^11 - 1968074169952/18686831199*c_0110_6^10 + 573361987880/6228943733*c_0110_6^9 - 208292099146/18686831199*c_0110_6^8 - 649683699189/6228943733*c_0110_6^7 + 3049038281624/18686831199*c_0110_6^6 - 963539773816/6228943733*c_0110_6^5 + 1619478064012/18686831199*c_0110_6^4 - 497919877231/18686831199*c_0110_6^3 - 5537498365/18686831199*c_0110_6^2 + 93585520031/18686831199*c_0110_6 - 3294399882/6228943733, c_0101_0 + 570944782864/56060493597*c_0110_6^13 - 1488679720336/18686831199*c_0110_6^12 + 15190010644864/56060493597*c_0110_6^11 - 3253019596832/6228943733*c_0110_6^10 + 35257961561644/56060493597*c_0110_6^9 - 21524537420171/56060493597*c_0110_6^8 - 11368695426734/56060493597*c_0110_6^7 + 43194402544288/56060493597*c_0110_6^6 - 56401800108554/56060493597*c_0110_6^5 + 45722003270009/56060493597*c_0110_6^4 - 8202160459045/18686831199*c_0110_6^3 + 8277882057590/56060493597*c_0110_6^2 - 935488863148/56060493597*c_0110_6 - 137792387213/56060493597, c_0101_2 - 1385328080944/56060493597*c_0110_6^13 + 3508095323264/18686831199*c_0110_6^12 - 34524747230704/56060493597*c_0110_6^11 + 21167088848960/18686831199*c_0110_6^10 - 71945875751236/56060493597*c_0110_6^9 + 37428897201605/56060493597*c_0110_6^8 + 33744419197637/56060493597*c_0110_6^7 - 95028371673988/56060493597*c_0110_6^6 + 114974499385490/56060493597*c_0110_6^5 - 87126418741667/56060493597*c_0110_6^4 + 4943499401655/6228943733*c_0110_6^3 - 13804465417697/56060493597*c_0110_6^2 + 1374054831952/56060493597*c_0110_6 + 177951374462/56060493597, c_0110_3 - 581272129040/18686831199*c_0110_6^13 + 4384005916064/18686831199*c_0110_6^12 - 14293927607056/18686831199*c_0110_6^11 + 26191872736240/18686831199*c_0110_6^10 - 9898724949460/6228943733*c_0110_6^9 + 15482057101423/18686831199*c_0110_6^8 + 4624682848739/6228943733*c_0110_6^7 - 39171456837578/18686831199*c_0110_6^6 + 15895115650709/6228943733*c_0110_6^5 - 36092870115829/18686831199*c_0110_6^4 + 18474549533023/18686831199*c_0110_6^3 - 5611174181261/18686831199*c_0110_6^2 + 502491662494/18686831199*c_0110_6 + 24872967069/6228943733, c_0110_6^14 - 8*c_0110_6^13 + 28*c_0110_6^12 - 56*c_0110_6^11 + 283/4*c_0110_6^10 - 775/16*c_0110_6^9 - 211/16*c_0110_6^8 + 1259/16*c_0110_6^7 - 1783/16*c_0110_6^6 + 777/8*c_0110_6^5 - 925/16*c_0110_6^4 + 365/16*c_0110_6^3 - 77/16*c_0110_6^2 + 3/16*c_0110_6 + 1/16 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB