Magma V2.19-8 Tue Aug 20 2013 16:18:29 on localhost [Seed = 1410713956] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2679 geometric_solution 5.94061303 oriented_manifold CS_known -0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 4 0132 0132 0132 0132 0 0 0 0 0 -1 0 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 0 0 0 0 0 0 0 1 -1 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.170121287251 1.342529987475 0 1 5 1 0132 1302 0132 2031 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.562885322408 0.668301284146 5 0 2 2 2310 0132 2031 1302 0 0 0 0 0 1 -1 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 -1 1 0 0 -1 1 0 -1 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.451031548734 0.350404913758 4 6 6 0 0213 0132 3120 0132 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 0 0 0 0 -0.009818675561 1.353366530751 3 5 0 6 0213 1023 0132 3120 0 0 0 0 0 0 -1 1 -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 0 0 0 -0.635044014338 0.668384265334 4 6 2 1 1023 2310 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.170121287251 1.342529987475 4 3 3 5 3120 0132 3120 3201 0 0 0 0 0 0 0 0 -1 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.009818675561 1.353366530751 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(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' : 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' : negation(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' : negation(d['c_0011_4']), 'c_1100_5' : d['c_0011_0'], 'c_1100_4' : negation(d['c_0101_6']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : negation(d['c_0101_6']), 'c_1100_3' : negation(d['c_0101_6']), 'c_1100_2' : d['c_0101_2'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0011_3'], 'c_0101_3' : d['c_0011_4'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0011_3'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_4'], 'c_0011_4' : d['c_0011_4'], '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_1001_5' : negation(d['c_0101_2']), 'c_1001_4' : d['c_0101_5'], 'c_1001_6' : negation(d['c_0101_2']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0101_2']), 'c_1001_3' : d['c_0101_2'], 'c_1001_2' : d['c_0101_5'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_3'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_5']), 'c_0110_5' : d['c_0011_3'], 'c_0110_4' : negation(d['c_0101_0']), 'c_0110_6' : negation(d['c_0101_0']), 'c_1010_6' : d['c_0101_2'], 'c_1010_5' : d['c_0101_0'], 'c_1010_4' : d['c_0011_3'], 'c_1010_3' : negation(d['c_0101_2']), 'c_1010_2' : negation(d['c_0101_2']), 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : d['c_0101_5']})} 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_3, c_0011_4, c_0101_0, c_0101_2, c_0101_5, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 15 Groebner basis: [ t + 2594022171025116143/63317109815599320*c_0101_6^14 - 1759710931102551535/6331710981559932*c_0101_6^13 - 382405372020684047/6331710981559932*c_0101_6^12 + 84901827536356437329/63317109815599320*c_0101_6^11 + 32025972441351895859/10552851635933220*c_0101_6^10 + 256334369883432382927/63317109815599320*c_0101_6^9 - 101442715472754753961/63317109815599320*c_0101_6^8 - 158664472819186429153/63317109815599320*c_0101_6^7 - 298359646688296075127/63317109815599320*c_0101_6^6 - 147866698513991203/2110570327186644*c_0101_6^5 + 5907503092825285463/2638212908983305*c_0101_6^4 - 1371814582907576593/7914638726949915*c_0101_6^3 - 9199576761532417793/31658554907799660*c_0101_6^2 - 15328642660274547487/15829277453899830*c_0101_6 - 16177737731134156819/63317109815599320, c_0011_0 - 1, c_0011_3 - 5309720564847/351761721197774*c_0101_6^14 + 8928599852511/175880860598887*c_0101_6^13 + 145565495666899/351761721197774*c_0101_6^12 - 123790133992598/175880860598887*c_0101_6^11 - 497183610590422/175880860598887*c_0101_6^10 - 1396809114118419/351761721197774*c_0101_6^9 - 594371130307977/351761721197774*c_0101_6^8 + 1160751977376378/175880860598887*c_0101_6^7 + 1171593711362921/351761721197774*c_0101_6^6 + 895636611214846/175880860598887*c_0101_6^5 - 1429465940809185/351761721197774*c_0101_6^4 - 797381244290029/351761721197774*c_0101_6^3 + 123512572309778/175880860598887*c_0101_6^2 - 118006206248039/351761721197774*c_0101_6 + 120994559284366/175880860598887, c_0011_4 + c_0101_6, c_0101_0 + 11136742724657/175880860598887*c_0101_6^14 - 144996064038663/351761721197774*c_0101_6^13 - 41488439252353/175880860598887*c_0101_6^12 + 778128141909647/351761721197774*c_0101_6^11 + 937408404314325/175880860598887*c_0101_6^10 + 1173670192660876/175880860598887*c_0101_6^9 - 991831042515341/351761721197774*c_0101_6^8 - 2429031366728213/351761721197774*c_0101_6^7 - 1163125645098918/175880860598887*c_0101_6^6 + 397841112741327/351761721197774*c_0101_6^5 + 1173052642861115/175880860598887*c_0101_6^4 - 159155577300585/351761721197774*c_0101_6^3 - 949688869616523/351761721197774*c_0101_6^2 - 443395882011849/175880860598887*c_0101_6 - 16640322784983/351761721197774, c_0101_2 + 47601179210456/527642581796661*c_0101_6^14 - 356260719985960/527642581796661*c_0101_6^13 + 167901237841309/527642581796661*c_0101_6^12 + 1525820918747306/527642581796661*c_0101_6^11 + 810042438295351/175880860598887*c_0101_6^10 + 2573797443304660/527642581796661*c_0101_6^9 - 4296041765567926/527642581796661*c_0101_6^8 - 276040428623212/527642581796661*c_0101_6^7 - 3591689574709379/527642581796661*c_0101_6^6 + 1136580695201317/175880860598887*c_0101_6^5 + 246176853517768/175880860598887*c_0101_6^4 - 2296064025853883/527642581796661*c_0101_6^3 - 353807548109938/527642581796661*c_0101_6^2 - 863324822305417/527642581796661*c_0101_6 + 334973281964663/527642581796661, c_0101_5 - 39157809937013/175880860598887*c_0101_6^14 + 275177515460567/175880860598887*c_0101_6^13 - 8502272121072/175880860598887*c_0101_6^12 - 1288293503533266/175880860598887*c_0101_6^11 - 2568811603003173/175880860598887*c_0101_6^10 - 3197802669318773/175880860598887*c_0101_6^9 + 2271502008759389/175880860598887*c_0101_6^8 + 1622232848871457/175880860598887*c_0101_6^7 + 3636545605703788/175880860598887*c_0101_6^6 - 940288563135044/175880860598887*c_0101_6^5 - 1739384200824337/175880860598887*c_0101_6^4 + 1041197993240967/175880860598887*c_0101_6^3 + 251093612743329/175880860598887*c_0101_6^2 + 813238603675321/175880860598887*c_0101_6 - 59827759407590/175880860598887, c_0101_6^15 - 7*c_0101_6^14 + 33*c_0101_6^12 + 67*c_0101_6^11 + 83*c_0101_6^10 - 60*c_0101_6^9 - 52*c_0101_6^8 - 102*c_0101_6^7 + 23*c_0101_6^6 + 54*c_0101_6^5 - 16*c_0101_6^4 - 6*c_0101_6^3 - 22*c_0101_6^2 - c_0101_6 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB