Magma V2.19-8 Tue Aug 20 2013 23:50:37 on localhost [Seed = 593840134] Type ? for help. Type -D to quit. Loading file "L12n558__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n558 geometric_solution 10.64769471 oriented_manifold CS_known 0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 1 1 1 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 1 0 -1 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 -0.007701264852 0.824103546459 0 5 2 6 0132 0132 1023 0132 1 1 0 1 0 1 0 -1 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 1 0 -1 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 0.505669314797 0.606666894292 7 0 1 8 0132 0132 1023 0132 1 1 0 1 0 0 0 0 -1 0 0 1 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 -1 1 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 1.189302742362 0.972618217303 8 9 9 0 1023 0132 1023 0132 1 1 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 0.205005559719 0.967579286658 5 10 0 11 2031 0132 0132 0132 1 1 0 1 0 -1 0 1 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 -1 1 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 -0.018679699730 1.796671404440 6 1 4 10 3012 0132 1302 0213 1 1 1 0 0 -1 0 1 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 -1 0 1 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 0.807192347080 0.990626090910 7 8 1 5 1230 1023 0132 1230 1 1 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 0 1 -1 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 0.460817249741 1.223671507004 2 6 11 10 0132 3012 3012 3012 0 1 1 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.069900183413 0.762024874431 6 3 2 10 1023 1023 0132 1230 1 1 0 0 0 0 0 0 0 0 -1 1 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 0.404553074346 0.596473335070 11 3 3 11 0132 0132 1023 1023 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.137314279280 1.751387832737 8 4 7 5 3012 0132 1230 0213 1 1 1 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 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 0.453362657802 0.454954292963 9 7 4 9 0132 1230 0132 1023 1 1 0 0 0 1 -1 0 0 0 0 0 1 0 0 -1 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 0.235869582294 0.226430918756 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0011_0'], 'c_1001_11' : d['c_1001_10'], 'c_1001_10' : d['c_1001_10'], 'c_1001_5' : d['c_0101_11'], 'c_1001_4' : d['c_0101_1'], 'c_1001_7' : negation(d['c_0011_11']), 'c_1001_6' : d['c_0101_11'], 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : d['c_0101_3'], 'c_1001_3' : d['c_0101_9'], 'c_1001_2' : d['c_0101_1'], 'c_1001_9' : d['c_0101_3'], 'c_1001_8' : d['c_0101_3'], 'c_1010_11' : d['c_0101_11'], 'c_1010_10' : d['c_0101_1'], 's_0_10' : d['1'], 's_3_10' : negation(d['1']), 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0101_0'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : 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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_0011_11' : d['c_0011_11'], 'c_1100_8' : d['c_0110_10'], 'c_1100_5' : d['c_0101_1'], 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : negation(d['c_1001_10']), 'c_1100_6' : negation(d['c_0110_10']), 'c_1100_1' : negation(d['c_0110_10']), 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_0110_10'], 's_3_11' : d['1'], 'c_1100_9' : negation(d['c_1100_0']), 'c_1100_11' : d['c_1100_0'], 'c_1100_10' : d['c_0101_2'], 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0101_0']), 'c_1010_6' : d['c_0011_10'], 'c_1010_5' : d['c_0101_2'], 'c_1010_4' : d['c_1001_10'], 'c_1010_3' : d['c_0101_3'], 'c_1010_2' : d['c_0101_3'], 'c_1010_1' : d['c_0101_11'], 'c_1010_0' : d['c_0101_1'], 'c_1010_9' : d['c_0101_9'], 'c_1010_8' : d['c_0101_0'], 's_3_1' : d['1'], 's_3_0' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : negation(d['1']), 's_3_4' : d['1'], 's_3_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : negation(d['1']), 's_1_4' : negation(d['1']), 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : negation(d['1']), 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_11']), 'c_0011_8' : d['c_0011_11'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : d['c_0011_11'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_11'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_9'], 'c_0110_10' : d['c_0110_10'], 'c_0101_7' : d['c_0101_11'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0011_10'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : d['c_0101_11'], 's_1_11' : d['1'], 's_1_10' : negation(d['1']), 'c_0110_9' : d['c_0101_11'], 'c_0110_8' : d['c_0011_10'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_11'], 'c_0110_5' : negation(d['c_0110_10']), 'c_0110_4' : d['c_0101_11'], 'c_0110_7' : d['c_0101_2'], 'c_0011_10' : d['c_0011_10']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0101_0, c_0101_1, c_0101_11, c_0101_2, c_0101_3, c_0101_9, c_0110_10, c_1001_10, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t + 15045049/2452876550*c_1100_0^11 + 210425837/4905753100*c_1100_0^10 + 378146458/1226438275*c_1100_0^9 + 3796655983/4905753100*c_1100_0^8 + 5569693673/2452876550*c_1100_0^7 + 17606044741/4905753100*c_1100_0^6 + 6583884626/1226438275*c_1100_0^5 + 5879518302/1226438275*c_1100_0^4 + 5151282823/2452876550*c_1100_0^3 - 2161748664/1226438275*c_1100_0^2 - 5166174899/1226438275*c_1100_0 - 814926532/245287655, c_0011_0 - 1, c_0011_10 + 32/8587*c_1100_0^11 + 113/17174*c_1100_0^10 + 275/17174*c_1100_0^9 - 60/8587*c_1100_0^8 - 156/8587*c_1100_0^7 - 4011/8587*c_1100_0^6 - 2678/8587*c_1100_0^5 - 13718/8587*c_1100_0^4 - 7157/8587*c_1100_0^3 - 12076/8587*c_1100_0^2 - 4516/8587*c_1100_0 - 1497/8587, c_0011_11 - 2413/34348*c_1100_0^11 - 1367/8587*c_1100_0^10 - 11289/17174*c_1100_0^9 - 9871/8587*c_1100_0^8 - 18795/8587*c_1100_0^7 - 24009/8587*c_1100_0^6 - 26396/8587*c_1100_0^5 - 22216/8587*c_1100_0^4 - 33253/17174*c_1100_0^3 - 7686/8587*c_1100_0^2 - 9055/8587*c_1100_0 - 2840/8587, c_0101_0 + 1659/17174*c_1100_0^11 + 2795/17174*c_1100_0^10 + 15313/17174*c_1100_0^9 + 21577/17174*c_1100_0^8 + 25474/8587*c_1100_0^7 + 28455/8587*c_1100_0^6 + 36577/8587*c_1100_0^5 + 29477/8587*c_1100_0^4 + 21236/8587*c_1100_0^3 + 10590/8587*c_1100_0^2 - 602/8587*c_1100_0 + 1044/8587, c_0101_1 - 1, c_0101_11 + 5/8587*c_1100_0^11 + 143/8587*c_1100_0^10 + 424/8587*c_1100_0^9 + 1064/8587*c_1100_0^8 + 1049/8587*c_1100_0^7 + 715/8587*c_1100_0^6 - 6322/8587*c_1100_0^5 - 8047/8587*c_1100_0^4 - 19634/8587*c_1100_0^3 - 13694/8587*c_1100_0^2 - 10366/8587*c_1100_0 - 2649/8587, c_0101_2 + 2649/42935*c_1100_0^11 + 5348/42935*c_1100_0^10 + 30569/42935*c_1100_0^9 + 51922/42935*c_1100_0^8 + 25969/8587*c_1100_0^7 + 164132/42935*c_1100_0^6 + 229666/42935*c_1100_0^5 + 29740/8587*c_1100_0^4 + 20992/8587*c_1100_0^3 - 79784/42935*c_1100_0^2 - 78662/42935*c_1100_0 - 93064/42935, c_0101_3 - 1659/17174*c_1100_0^11 - 2795/17174*c_1100_0^10 - 15313/17174*c_1100_0^9 - 21577/17174*c_1100_0^8 - 25474/8587*c_1100_0^7 - 28455/8587*c_1100_0^6 - 36577/8587*c_1100_0^5 - 29477/8587*c_1100_0^4 - 21236/8587*c_1100_0^3 - 10590/8587*c_1100_0^2 - 7985/8587*c_1100_0 - 1044/8587, c_0101_9 - 231/17174*c_1100_0^11 + 263/17174*c_1100_0^10 + 510/8587*c_1100_0^9 + 2900/8587*c_1100_0^8 + 7540/8587*c_1100_0^7 + 13538/8587*c_1100_0^6 + 20668/8587*c_1100_0^5 + 21874/8587*c_1100_0^4 + 22478/8587*c_1100_0^3 + 14069/8587*c_1100_0^2 + 9323/8587*c_1100_0 + 3659/8587, c_0110_10 + 1472/42935*c_1100_0^11 + 2599/42935*c_1100_0^10 + 14912/42935*c_1100_0^9 + 23001/42935*c_1100_0^8 + 12304/8587*c_1100_0^7 + 81691/42935*c_1100_0^6 + 117248/42935*c_1100_0^5 + 26643/8587*c_1100_0^4 + 13156/8587*c_1100_0^3 + 62768/42935*c_1100_0^2 - 35996/42935*c_1100_0 - 25927/42935, c_1001_10 + 5/17174*c_1100_0^11 + 143/17174*c_1100_0^10 + 212/8587*c_1100_0^9 + 532/8587*c_1100_0^8 + 4818/8587*c_1100_0^7 + 4651/8587*c_1100_0^6 + 22600/8587*c_1100_0^5 + 17444/8587*c_1100_0^4 + 33118/8587*c_1100_0^3 + 18914/8587*c_1100_0^2 + 11991/8587*c_1100_0 + 2969/8587, c_1100_0^12 + 2*c_1100_0^11 + 11*c_1100_0^10 + 18*c_1100_0^9 + 45*c_1100_0^8 + 58*c_1100_0^7 + 84*c_1100_0^6 + 80*c_1100_0^5 + 70*c_1100_0^4 + 44*c_1100_0^3 + 22*c_1100_0^2 + 4*c_1100_0 + 10 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.050 Total time: 0.260 seconds, Total memory usage: 32.09MB