Magma V2.19-8 Tue Aug 20 2013 16:17:49 on localhost [Seed = 2783197511] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2060 geometric_solution 5.58292224 oriented_manifold CS_known -0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 7 1 0 0 2 0132 3201 2310 0132 0 0 0 0 0 0 -1 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 -1 1 0 0 0 1 -1 1 -1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.844364021196 0.912402554394 0 3 5 4 0132 0132 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.144463103460 0.658767049548 4 6 0 5 3012 0132 0132 3012 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 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 0.224134240649 0.804414837184 5 1 3 3 1230 0132 2031 1302 0 0 0 0 0 1 -1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.693462458610 1.242158115541 6 5 1 2 3012 2031 0132 1230 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.431917511069 0.299886615072 4 3 2 1 1302 3012 1230 0132 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 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 1.271835920780 1.679813376252 6 2 6 4 2031 0132 1302 1230 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.376670076967 0.726734123119 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : 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' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : 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' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : d['c_0011_2'], 'c_1100_5' : d['c_0110_2'], 'c_1100_4' : d['c_0110_2'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0110_2'], 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_0101_3'], 'c_1100_2' : d['c_0011_0'], 'c_0101_6' : d['c_0011_2'], 'c_0101_5' : negation(d['c_0011_4']), 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_5'], 'c_0101_1' : d['c_0011_5'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(d['c_0011_2']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_0'], 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0011_0']), 'c_1001_4' : negation(d['c_0011_5']), 'c_1001_6' : d['c_0011_4'], 'c_1001_1' : negation(d['c_0101_3']), 'c_1001_0' : negation(d['c_0101_0']), 'c_1001_3' : negation(d['c_0011_5']), 'c_1001_2' : d['c_0101_0'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_5'], 'c_0110_3' : d['c_0011_5'], 'c_0110_2' : d['c_0110_2'], 'c_0110_5' : d['c_0011_5'], 'c_0110_4' : d['c_0011_2'], 'c_0110_6' : d['c_0011_4'], 'c_1010_6' : d['c_0101_0'], 'c_1010_5' : negation(d['c_0101_3']), 'c_1010_4' : d['c_0011_5'], 'c_1010_3' : negation(d['c_0101_3']), 'c_1010_2' : d['c_0011_4'], 'c_1010_1' : negation(d['c_0011_5']), 'c_1010_0' : 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_4, c_0011_5, c_0101_0, c_0101_3, c_0110_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 2 Groebner basis: [ t - 3*c_0110_2 - 5, c_0011_0 - 1, c_0011_2 + 1, c_0011_4 + c_0110_2, c_0011_5 - 1, c_0101_0 - c_0110_2, c_0101_3 - c_0110_2, c_0110_2^2 + c_0110_2 - 1 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_2, c_0011_4, c_0011_5, c_0101_0, c_0101_3, c_0110_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 15 Groebner basis: [ t - 1871618/17*c_0110_2^14 + 16124423/17*c_0110_2^13 - 64386451/17*c_0110_2^12 + 28709371/3*c_0110_2^11 - 868147594/51*c_0110_2^10 + 1121819212/51*c_0110_2^9 - 347724753/17*c_0110_2^8 + 613233754/51*c_0110_2^7 - 17748947/17*c_0110_2^6 - 331187854/51*c_0110_2^5 + 395760667/51*c_0110_2^4 - 84185373/17*c_0110_2^3 + 98220691/51*c_0110_2^2 - 21796999/51*c_0110_2 + 2103299/51, c_0011_0 - 1, c_0011_2 - 286027/51*c_0110_2^14 + 2417989/51*c_0110_2^13 - 3154999/17*c_0110_2^12 + 460033*c_0110_2^11 - 13638024/17*c_0110_2^10 + 51671171/51*c_0110_2^9 - 46669009/51*c_0110_2^8 + 25917181/51*c_0110_2^7 - 350072/51*c_0110_2^6 - 5372175/17*c_0110_2^5 + 17813959/51*c_0110_2^4 - 10791161/51*c_0110_2^3 + 1323789/17*c_0110_2^2 - 823219/51*c_0110_2 + 73013/51, c_0011_4 + 80255/17*c_0110_2^14 - 2063257/51*c_0110_2^13 + 2731024/17*c_0110_2^12 - 1211269/3*c_0110_2^11 + 36428359/51*c_0110_2^10 - 46780159/51*c_0110_2^9 + 43162754/51*c_0110_2^8 - 8334028/17*c_0110_2^7 + 1705178/51*c_0110_2^6 + 14021980/51*c_0110_2^5 - 16401688/51*c_0110_2^4 + 10325281/51*c_0110_2^3 - 3960482/51*c_0110_2^2 + 288207/17*c_0110_2 - 81793/51, c_0011_5 - 2380/3*c_0110_2^14 + 19117/3*c_0110_2^13 - 70580/3*c_0110_2^12 + 164497/3*c_0110_2^11 - 267469/3*c_0110_2^10 + 308660/3*c_0110_2^9 - 244178/3*c_0110_2^8 + 96283/3*c_0110_2^7 + 51011/3*c_0110_2^6 - 118309/3*c_0110_2^5 + 96193/3*c_0110_2^4 - 14403*c_0110_2^3 + 9646/3*c_0110_2^2 - 90*c_0110_2 - 184/3, c_0101_0 + 225064/51*c_0110_2^14 - 1895803/51*c_0110_2^13 + 7392446/51*c_0110_2^12 - 1073849/3*c_0110_2^11 + 31709353/51*c_0110_2^10 - 39860339/51*c_0110_2^9 + 35784701/51*c_0110_2^8 - 19629229/51*c_0110_2^7 - 55586/51*c_0110_2^6 + 12562591/51*c_0110_2^5 - 13673992/51*c_0110_2^4 + 2731144/17*c_0110_2^3 - 2979631/51*c_0110_2^2 + 202792/17*c_0110_2 - 52937/51, c_0101_3 + 335006/51*c_0110_2^14 - 945434/17*c_0110_2^13 + 3706839/17*c_0110_2^12 - 541369*c_0110_2^11 + 16076771/17*c_0110_2^10 - 61034782/51*c_0110_2^9 + 55273012/51*c_0110_2^8 - 30861904/51*c_0110_2^7 + 212715/17*c_0110_2^6 + 6314864/17*c_0110_2^5 - 21086237/51*c_0110_2^4 + 12836978/51*c_0110_2^3 - 4750372/51*c_0110_2^2 + 991615/51*c_0110_2 - 29556/17, c_0110_2^15 - 9*c_0110_2^14 + 264/7*c_0110_2^13 - 701/7*c_0110_2^12 + 188*c_0110_2^11 - 1814/7*c_0110_2^10 + 1837/7*c_0110_2^9 - 1263/7*c_0110_2^8 + 359/7*c_0110_2^7 + 388/7*c_0110_2^6 - 652/7*c_0110_2^5 + 72*c_0110_2^4 - 243/7*c_0110_2^3 + 74/7*c_0110_2^2 - 13/7*c_0110_2 + 1/7 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB