Magma V2.19-8 Tue Aug 20 2013 16:17:16 on localhost [Seed = 745386234] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1505 geometric_solution 5.31095516 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 2 1302 2031 0132 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 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 0.591476781985 0.882406279057 3 4 2 0 0132 0132 1230 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 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 0.990735228691 0.883568048239 4 3 0 1 2310 3201 0132 3012 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 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 0.990735228691 0.883568048239 1 5 2 5 0132 0132 2310 1023 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 -1 0 1 0 0 -1 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 0.877660779304 0.482506124709 4 1 2 4 3012 0132 3201 1230 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.562873843111 0.798963790144 6 3 6 3 0132 0132 1023 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 1 0 -1 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 0.726981375958 0.159841927870 5 6 5 6 0132 1302 1023 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.642299984079 0.061289770466 ==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_1'], 'c_1100_5' : negation(d['c_0011_1']), 'c_1100_4' : negation(d['c_0011_1']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0101_4']), 'c_1100_0' : negation(d['c_0101_4']), 'c_1100_3' : d['c_0011_1'], 'c_1100_2' : negation(d['c_0101_4']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0011_0']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_0']), 'c_0011_5' : d['c_0011_1'], 'c_0011_4' : negation(d['c_0011_1']), 'c_0011_6' : negation(d['c_0011_1']), 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_1']), 'c_0011_2' : d['c_0011_1'], 'c_1001_5' : d['c_0101_6'], 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_6' : d['c_0101_5'], 'c_1001_1' : d['c_0101_4'], 'c_1001_0' : negation(d['c_0101_2']), 'c_1001_3' : d['c_0101_1'], 'c_1001_2' : d['c_0011_0'], 'c_0110_1' : negation(d['c_0011_0']), 'c_0110_0' : d['c_0101_2'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : negation(d['c_0101_4']), 'c_0110_5' : d['c_0101_6'], 'c_0110_4' : negation(d['c_0011_1']), 'c_0110_6' : d['c_0101_5'], 'c_1010_6' : negation(d['c_0011_1']), 'c_1010_5' : d['c_0101_1'], 'c_1010_4' : d['c_0101_4'], 'c_1010_3' : d['c_0101_6'], 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0101_2']), 'c_1010_0' : d['c_0011_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_1, c_0101_1, c_0101_2, c_0101_4, c_0101_5, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 3*c_0101_6^5 + 3*c_0101_6^4 + 15*c_0101_6^3 - 23*c_0101_6^2 - 16*c_0101_6 + 40, c_0011_0 - 1, c_0011_1 + c_0101_6^4 - 3*c_0101_6^2 + 1, c_0101_1 + c_0101_6^5 - 4*c_0101_6^3 + 3*c_0101_6, c_0101_2 + c_0101_6, c_0101_4 + c_0101_6^2 - 1, c_0101_5 + c_0101_6^2 - 1, c_0101_6^6 + c_0101_6^5 - 5*c_0101_6^4 - 4*c_0101_6^3 + 6*c_0101_6^2 + 3*c_0101_6 - 1 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0101_1, c_0101_2, c_0101_4, c_0101_5, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t + 1547652940/6812703*c_0101_6^10 + 288845605/2270901*c_0101_6^9 - 10675494760/2270901*c_0101_6^8 - 5560890118/6812703*c_0101_6^7 + 79134510644/6812703*c_0101_6^6 - 68547011950/6812703*c_0101_6^5 - 582832361/2270901*c_0101_6^4 + 76714287416/6812703*c_0101_6^3 - 76044910745/6812703*c_0101_6^2 + 37420940050/6812703*c_0101_6 - 8096837755/6812703, c_0011_0 - 1, c_0011_1 - 37056/756967*c_0101_6^10 - 72760/756967*c_0101_6^9 + 707216/756967*c_0101_6^8 + 1152320/756967*c_0101_6^7 - 1127711/756967*c_0101_6^6 - 151271/756967*c_0101_6^5 + 1477889/756967*c_0101_6^4 - 1233774/756967*c_0101_6^3 - 42816/756967*c_0101_6^2 - 610789/756967*c_0101_6 + 156658/756967, c_0101_1 - 1876980/756967*c_0101_6^10 - 953729/756967*c_0101_6^9 + 38822690/756967*c_0101_6^8 + 4599729/756967*c_0101_6^7 - 94869992/756967*c_0101_6^6 + 90288242/756967*c_0101_6^5 - 5370131/756967*c_0101_6^4 - 95016386/756967*c_0101_6^3 + 100221834/756967*c_0101_6^2 - 52204415/756967*c_0101_6 + 12146978/756967, c_0101_2 + 502005/756967*c_0101_6^10 + 429245/756967*c_0101_6^9 - 10183820/756967*c_0101_6^8 - 4719012/756967*c_0101_6^7 + 22723510/756967*c_0101_6^6 - 16779214/756967*c_0101_6^5 - 2363861/756967*c_0101_6^4 + 23355415/756967*c_0101_6^3 - 18195098/756967*c_0101_6^2 + 8468318/756967*c_0101_6 - 1617183/756967, c_0101_4 + 1705832/756967*c_0101_6^10 + 1060222/756967*c_0101_6^9 - 35241244/756967*c_0101_6^8 - 8379495/756967*c_0101_6^7 + 86795348/756967*c_0101_6^6 - 68631949/756967*c_0101_6^5 - 5963817/756967*c_0101_6^4 + 80591837/756967*c_0101_6^3 - 77302676/756967*c_0101_6^2 + 36964130/756967*c_0101_6 - 8231653/756967, c_0101_5 + 629348/756967*c_0101_6^10 + 321229/756967*c_0101_6^9 - 13009975/756967*c_0101_6^8 - 1574715/756967*c_0101_6^7 + 31624930/756967*c_0101_6^6 - 30147211/756967*c_0101_6^5 + 2906366/756967*c_0101_6^4 + 31942326/756967*c_0101_6^3 - 34277647/756967*c_0101_6^2 + 18283452/756967*c_0101_6 - 4404827/756967, c_0101_6^11 - 21*c_0101_6^9 + 8*c_0101_6^8 + 53*c_0101_6^7 - 73*c_0101_6^6 + 24*c_0101_6^5 + 50*c_0101_6^4 - 77*c_0101_6^3 + 52*c_0101_6^2 - 19*c_0101_6 + 3 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB