Magma V2.19-8 Tue Aug 20 2013 16:14:06 on localhost [Seed = 4088557516] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s048 geometric_solution 3.59008996 oriented_manifold CS_known -0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 6 1 2 3 2 0132 0132 0132 0213 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 1 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.790614436237 0.411766859912 0 2 3 4 0132 3201 2310 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 1 -1 0 0 0 0 -1 1 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.273541636916 0.512963060922 3 0 1 0 2031 0132 2310 0213 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 -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 0.790614436237 0.411766859912 4 1 2 0 1023 3201 1302 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 0 -1 1 0 -1 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 0.214430341974 0.106424522197 5 3 1 5 0132 1023 0132 1023 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 0 0 0 0 0 -0.935895615609 1.133477408523 4 5 5 4 0132 3201 2310 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.812660972005 0.199821184244 ==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' : 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' : negation(d['1']), 's_2_4' : d['1'], 's_2_5' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : d['c_0011_3'], 'c_1100_1' : d['c_0011_3'], 'c_1100_0' : d['c_0101_2'], 'c_1100_3' : d['c_0101_2'], 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], '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' : negation(d['c_0011_3']), 'c_0011_4' : 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' : negation(d['c_0101_5']), 'c_1001_4' : d['c_0011_0'], 'c_1001_1' : negation(d['c_0101_2']), 'c_1001_0' : d['c_0101_2'], 'c_1001_3' : negation(d['c_0101_1']), 'c_1001_2' : negation(d['c_0011_0']), '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_0101_0'], 'c_0110_4' : d['c_0101_5'], 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : d['c_0101_0'], 'c_1010_3' : d['c_0101_2'], 'c_1010_2' : d['c_0101_2'], 'c_1010_1' : d['c_0011_0'], 'c_1010_0' : negation(d['c_0011_0'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0101_0, c_0101_1, c_0101_2, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t + 71629242816851/6464376259536*c_0101_5^11 + 198974940658127/2154792086512*c_0101_5^10 + 638008523885233/2154792086512*c_0101_5^9 - 110903118766025/6464376259536*c_0101_5^8 - 1238693822776055/2154792086512*c_0101_5^7 + 25962226355933/538698021628*c_0101_5^6 + 334699559714123/269349010814*c_0101_5^5 - 1651355079435865/6464376259536*c_0101_5^4 - 3689892716249921/6464376259536*c_0101_5^3 + 1207988860297459/3232188129768*c_0101_5^2 + 1536497275071845/6464376259536*c_0101_5 - 248705836145381/6464376259536, c_0011_0 - 1, c_0011_3 + 1344794919/10359577339*c_0101_5^11 + 11256201488/10359577339*c_0101_5^10 + 36359679968/10359577339*c_0101_5^9 - 717615505/10359577339*c_0101_5^8 - 70334075559/10359577339*c_0101_5^7 - 891883160/10359577339*c_0101_5^6 + 143330689513/10359577339*c_0101_5^5 - 20524807511/10359577339*c_0101_5^4 - 56887529458/10359577339*c_0101_5^3 + 29386799432/10359577339*c_0101_5^2 + 12634393171/10359577339*c_0101_5 + 894445657/10359577339, c_0101_0 + 63551/4861369*c_0101_5^11 + 388983/4861369*c_0101_5^10 + 551374/4861369*c_0101_5^9 - 3851622/4861369*c_0101_5^8 - 4187794/4861369*c_0101_5^7 + 1329742/4861369*c_0101_5^6 + 2508799/4861369*c_0101_5^5 - 9729432/4861369*c_0101_5^4 + 6750105/4861369*c_0101_5^3 - 3686187/4861369*c_0101_5^2 - 8671050/4861369*c_0101_5 - 1089843/4861369, c_0101_1 - 5035447049/10359577339*c_0101_5^11 - 41165427538/10359577339*c_0101_5^10 - 127925758280/10359577339*c_0101_5^9 + 29212659776/10359577339*c_0101_5^8 + 261662727054/10359577339*c_0101_5^7 - 56252900602/10359577339*c_0101_5^6 - 560444528667/10359577339*c_0101_5^5 + 193209299286/10359577339*c_0101_5^4 + 238220875354/10359577339*c_0101_5^3 - 178237697518/10359577339*c_0101_5^2 - 82738570746/10359577339*c_0101_5 + 16255244927/10359577339, c_0101_2 + 5479506892/10359577339*c_0101_5^11 + 45225845888/10359577339*c_0101_5^10 + 142437068866/10359577339*c_0101_5^9 - 22940722435/10359577339*c_0101_5^8 - 292330334403/10359577339*c_0101_5^7 + 47921047846/10359577339*c_0101_5^6 + 632348404074/10359577339*c_0101_5^5 - 168243792586/10359577339*c_0101_5^4 - 305263795805/10359577339*c_0101_5^3 + 208783487566/10359577339*c_0101_5^2 + 113487963355/10359577339*c_0101_5 - 25253152742/10359577339, c_0101_5^12 + 8*c_0101_5^11 + 24*c_0101_5^10 - 10*c_0101_5^9 - 50*c_0101_5^8 + 21*c_0101_5^7 + 108*c_0101_5^6 - 59*c_0101_5^5 - 38*c_0101_5^4 + 47*c_0101_5^3 + 9*c_0101_5^2 - 8*c_0101_5 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB