Magma V2.19-8 Tue Aug 20 2013 16:18:26 on localhost [Seed = 3018993286] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2637 geometric_solution 5.91259555 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 1 0132 0132 0132 3012 0 0 0 0 0 -1 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.068153087952 0.644716483492 0 4 0 5 0132 0132 1230 0132 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 1 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.522982480973 0.541175937980 2 0 5 2 3012 0132 1230 1230 0 0 0 0 0 1 0 -1 1 0 0 -1 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 0 -1 1 -1 0 0 1 -1 0 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.877014019239 0.611677618834 5 5 4 0 0132 2103 1302 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.448328293773 0.623928914167 3 1 6 6 2031 0132 0132 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.594040354240 1.593052822038 3 3 1 2 0132 2103 0132 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.315935936130 1.571324958513 4 6 6 4 3201 1230 3012 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.265007805694 0.360189547720 ==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' : 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_6'], 'c_1100_5' : d['c_0101_1'], 'c_1100_4' : d['c_0011_6'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0101_1'], 'c_1100_0' : d['c_0101_4'], 'c_1100_3' : d['c_0101_4'], 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_6' : d['c_0011_3'], 'c_0101_5' : d['c_0101_0'], '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' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_0'], 'c_0011_6' : d['c_0011_6'], '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' : d['c_0011_3'], 'c_1001_4' : d['c_0011_3'], 'c_1001_6' : negation(d['c_0011_6']), 'c_1001_1' : negation(d['c_0101_4']), 'c_1001_0' : d['c_0101_2'], 'c_1001_3' : negation(d['c_0011_3']), 'c_1001_2' : negation(d['c_0101_1']), '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_0011_0']), 'c_0110_5' : negation(d['c_0011_0']), 'c_0110_4' : negation(d['c_0011_3']), 'c_0110_6' : d['c_0101_4'], 'c_1010_6' : d['c_0011_3'], 'c_1010_5' : negation(d['c_0101_2']), 'c_1010_4' : negation(d['c_0101_4']), 'c_1010_3' : d['c_0101_2'], 'c_1010_2' : d['c_0101_2'], 'c_1010_1' : d['c_0011_3'], 'c_1010_0' : negation(d['c_0101_1'])})} 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_6, c_0101_0, c_0101_1, c_0101_2, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 15 Groebner basis: [ t + 1402848469/484139675*c_0101_4^14 + 5465924087/484139675*c_0101_4^13 + 6290877434/484139675*c_0101_4^12 - 2710632409/484139675*c_0101_4^11 - 3597992249/484139675*c_0101_4^10 + 996994218/19365587*c_0101_4^9 + 30340106064/484139675*c_0101_4^8 - 38699396863/484139675*c_0101_4^7 - 79436480237/484139675*c_0101_4^6 - 169409743/96827935*c_0101_4^5 + 83144872878/484139675*c_0101_4^4 + 46378473249/484139675*c_0101_4^3 - 5202807304/96827935*c_0101_4^2 - 23436897338/484139675*c_0101_4 - 6313907376/484139675, c_0011_0 - 1, c_0011_3 + 7258767/19365587*c_0101_4^14 + 29689869/19365587*c_0101_4^13 + 35992763/19365587*c_0101_4^12 - 15619895/19365587*c_0101_4^11 - 31959518/19365587*c_0101_4^10 + 125246275/19365587*c_0101_4^9 + 182436250/19365587*c_0101_4^8 - 207485696/19365587*c_0101_4^7 - 498542290/19365587*c_0101_4^6 - 45224080/19365587*c_0101_4^5 + 533237993/19365587*c_0101_4^4 + 332933026/19365587*c_0101_4^3 - 177519763/19365587*c_0101_4^2 - 187395282/19365587*c_0101_4 - 41507617/19365587, c_0011_6 + 18413750/19365587*c_0101_4^14 + 69974433/19365587*c_0101_4^13 + 77297954/19365587*c_0101_4^12 - 40514216/19365587*c_0101_4^11 - 47973117/19365587*c_0101_4^10 + 318095522/19365587*c_0101_4^9 + 369633697/19365587*c_0101_4^8 - 520423111/19365587*c_0101_4^7 - 1020046519/19365587*c_0101_4^6 + 3591642/19365587*c_0101_4^5 + 1093319449/19365587*c_0101_4^4 + 604488772/19365587*c_0101_4^3 - 337136564/19365587*c_0101_4^2 - 329210043/19365587*c_0101_4 - 110865342/19365587, c_0101_0 + 16032934/19365587*c_0101_4^14 + 59573832/19365587*c_0101_4^13 + 60943485/19365587*c_0101_4^12 - 43182408/19365587*c_0101_4^11 - 36517318/19365587*c_0101_4^10 + 287581011/19365587*c_0101_4^9 + 293178422/19365587*c_0101_4^8 - 497168255/19365587*c_0101_4^7 - 829582804/19365587*c_0101_4^6 + 127627626/19365587*c_0101_4^5 + 939379171/19365587*c_0101_4^4 + 401938968/19365587*c_0101_4^3 - 349976032/19365587*c_0101_4^2 - 234913802/19365587*c_0101_4 - 60338457/19365587, c_0101_1 - 4216263/19365587*c_0101_4^14 - 15220682/19365587*c_0101_4^13 - 17022433/19365587*c_0101_4^12 + 4864489/19365587*c_0101_4^11 + 1118151/19365587*c_0101_4^10 - 71734543/19365587*c_0101_4^9 - 73943393/19365587*c_0101_4^8 + 93010286/19365587*c_0101_4^7 + 175476784/19365587*c_0101_4^6 + 9438657/19365587*c_0101_4^5 - 173326721/19365587*c_0101_4^4 - 118737642/19365587*c_0101_4^3 + 25328171/19365587*c_0101_4^2 + 49305449/19365587*c_0101_4 + 58022640/19365587, c_0101_2 + 10386383/19365587*c_0101_4^14 + 44579607/19365587*c_0101_4^13 + 60341677/19365587*c_0101_4^12 - 7801001/19365587*c_0101_4^11 - 38885102/19365587*c_0101_4^10 + 179142255/19365587*c_0101_4^9 + 294218875/19365587*c_0101_4^8 - 231461021/19365587*c_0101_4^7 - 716159064/19365587*c_0101_4^6 - 188243408/19365587*c_0101_4^5 + 667339005/19365587*c_0101_4^4 + 560201793/19365587*c_0101_4^3 - 137631030/19365587*c_0101_4^2 - 271747999/19365587*c_0101_4 - 91616747/19365587, c_0101_4^15 + 3*c_0101_4^14 + c_0101_4^13 - 6*c_0101_4^12 - c_0101_4^11 + 20*c_0101_4^10 + 6*c_0101_4^9 - 47*c_0101_4^8 - 33*c_0101_4^7 + 50*c_0101_4^6 + 62*c_0101_4^5 - 19*c_0101_4^4 - 50*c_0101_4^3 - 2*c_0101_4^2 + 11*c_0101_4 + 5 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB