Magma V2.19-8 Tue Aug 20 2013 23:39:02 on localhost [Seed = 3734551227] Type ? for help. Type -D to quit. Loading file "K12n603__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K12n603 geometric_solution 9.82292911 oriented_manifold CS_known -0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 11 1 2 3 4 0132 0132 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 12 -11 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 0.576102145504 0.704172425109 0 5 7 6 0132 0132 0132 0132 0 0 0 0 0 -1 0 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 12 0 -12 0 0 1 -1 -1 0 0 1 0 -12 12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.570741787037 1.143941305112 4 0 6 7 3012 0132 3012 3012 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 0 0 0 0 0 1 -1 0 11 0 0 -11 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.627487213238 1.042371854408 7 8 6 0 1230 0132 0132 0132 0 0 0 0 0 0 -1 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 12 -12 0 0 0 0 0 0 0 0 11 0 -11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.670040646347 0.615116505120 9 8 0 2 0132 0321 0132 1230 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 11 -11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.615013415535 0.648110547676 9 1 8 9 2031 0132 2103 3201 0 0 0 0 0 1 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 0 0 0 -12 0 12 11 0 0 -11 -12 12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.312979495342 1.659034965539 10 2 1 3 0132 1230 0132 0132 0 0 0 0 0 0 -1 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 0 12 -12 -1 0 1 0 -11 0 0 11 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.570741787037 1.143941305112 10 3 2 1 3012 3012 1230 0132 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 -11 11 0 0 0 1 -1 12 0 0 -12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.670040646347 0.615116505120 5 3 10 4 2103 0132 2310 0321 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.938161059566 0.750166232355 4 5 5 10 0132 2310 1302 3012 0 0 0 0 0 0 1 -1 0 0 0 0 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 0 -11 11 0 0 0 0 0 11 0 -11 0 -12 12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.972020154639 0.417622411362 6 8 9 7 0132 3201 1230 1230 0 0 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 1 0 11 -12 0 0 0 0 11 0 -11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.192258791558 0.670228512221 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : negation(d['c_0101_5']), 'c_1001_5' : negation(d['c_0011_3']), 'c_1001_4' : d['c_0011_10'], 'c_1001_7' : negation(d['c_0011_3']), 'c_1001_6' : negation(d['c_0011_3']), 'c_1001_1' : negation(d['c_0101_10']), 'c_1001_0' : negation(d['c_0101_7']), 'c_1001_3' : d['c_0101_2'], 'c_1001_2' : d['c_0011_10'], 'c_1001_9' : d['c_0101_10'], 'c_1001_8' : negation(d['c_0101_7']), 'c_1010_10' : d['c_0101_7'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_10' : d['c_0101_10'], '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_2_7' : d['1'], 's_2_10' : 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' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : d['c_0101_5'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_0011_4'], 'c_1100_4' : d['c_0110_2'], 'c_1100_7' : d['c_0110_2'], 'c_1100_6' : d['c_0110_2'], 'c_1100_1' : d['c_0110_2'], 'c_1100_0' : d['c_0110_2'], 'c_1100_3' : d['c_0110_2'], 'c_1100_2' : d['c_0011_3'], 'c_1100_10' : d['c_0101_1'], 'c_1010_7' : negation(d['c_0101_10']), 'c_1010_6' : d['c_0101_2'], 'c_1010_5' : negation(d['c_0101_10']), 'c_1010_4' : d['c_0101_2'], 'c_1010_3' : negation(d['c_0101_7']), 'c_1010_2' : negation(d['c_0101_7']), 'c_1010_1' : negation(d['c_0011_3']), 'c_1010_0' : d['c_0011_10'], 'c_1010_9' : negation(d['c_0101_10']), 'c_1010_8' : d['c_0101_2'], 'c_1100_8' : d['c_0011_10'], '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_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' : 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_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_4']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : negation(d['c_0011_10']), '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_0110_10' : d['c_0011_7'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0011_7'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_10'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_7'], 'c_0101_9' : negation(d['c_0011_0']), 'c_0101_8' : d['c_0101_5'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_1'], 'c_0110_8' : negation(d['c_0011_4']), 'c_0110_1' : d['c_0011_7'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_7'], 'c_0110_2' : d['c_0110_2'], 'c_0110_5' : d['c_0101_10'], 'c_0110_4' : negation(d['c_0011_0']), 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0101_10']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0011_4, c_0011_7, c_0101_1, c_0101_10, c_0101_2, c_0101_5, c_0101_7, c_0110_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 2545787/97515*c_0110_2^9 + 764171/97515*c_0110_2^8 + 666698/8865*c_0110_2^7 + 3116459/19503*c_0110_2^6 - 11979046/97515*c_0110_2^5 - 1005934/8865*c_0110_2^4 - 20002891/97515*c_0110_2^3 + 2188391/97515*c_0110_2^2 + 11972852/97515*c_0110_2 + 9826799/97515, c_0011_0 - 1, c_0011_10 - 1, c_0011_3 + 238/591*c_0110_2^9 - 100/591*c_0110_2^8 - 374/591*c_0110_2^7 - 1340/591*c_0110_2^6 + 542/591*c_0110_2^5 - 1124/591*c_0110_2^4 + 2063/591*c_0110_2^3 - 157/591*c_0110_2^2 + 644/591*c_0110_2 - 70/591, c_0011_4 - 619/591*c_0110_2^9 + 568/591*c_0110_2^8 + 1817/591*c_0110_2^7 + 2765/591*c_0110_2^6 - 5348/591*c_0110_2^5 - 2197/591*c_0110_2^4 - 3893/591*c_0110_2^3 + 2452/591*c_0110_2^2 + 4096/591*c_0110_2 + 1225/591, c_0011_7 + 238/591*c_0110_2^9 - 100/591*c_0110_2^8 - 374/591*c_0110_2^7 - 1340/591*c_0110_2^6 + 542/591*c_0110_2^5 - 1124/591*c_0110_2^4 + 2063/591*c_0110_2^3 - 157/591*c_0110_2^2 + 644/591*c_0110_2 - 70/591, c_0101_1 + 65/591*c_0110_2^9 - 221/591*c_0110_2^8 - 271/591*c_0110_2^7 + 230/591*c_0110_2^6 + 1777/591*c_0110_2^5 + 140/591*c_0110_2^4 - 482/591*c_0110_2^3 - 1133/591*c_0110_2^2 - 1319/591*c_0110_2 + 259/591, c_0101_10 + 271/591*c_0110_2^9 - 94/591*c_0110_2^8 - 848/591*c_0110_2^7 - 1496/591*c_0110_2^6 + 1526/591*c_0110_2^5 + 1402/591*c_0110_2^4 + 1100/591*c_0110_2^3 - 514/591*c_0110_2^2 - 1735/591*c_0110_2 - 184/591, c_0101_2 - 65/591*c_0110_2^9 + 221/591*c_0110_2^8 + 271/591*c_0110_2^7 - 230/591*c_0110_2^6 - 1777/591*c_0110_2^5 - 140/591*c_0110_2^4 + 482/591*c_0110_2^3 + 1133/591*c_0110_2^2 + 1319/591*c_0110_2 - 259/591, c_0101_5 - 527/591*c_0110_2^9 + 137/591*c_0110_2^8 + 1588/591*c_0110_2^7 + 3136/591*c_0110_2^6 - 2551/591*c_0110_2^5 - 2408/591*c_0110_2^4 - 3175/591*c_0110_2^3 + 221/591*c_0110_2^2 + 2711/591*c_0110_2 + 1337/591, c_0101_7 + 35/591*c_0110_2^9 - 119/591*c_0110_2^8 - 55/591*c_0110_2^7 - 58/591*c_0110_2^6 + 775/591*c_0110_2^5 - 61/591*c_0110_2^4 + 877/591*c_0110_2^3 - 1292/591*c_0110_2^2 - 392/591*c_0110_2 - 497/591, c_0110_2^10 - 3*c_0110_2^8 - 7*c_0110_2^7 + 3*c_0110_2^6 + 6*c_0110_2^5 + 9*c_0110_2^4 + c_0110_2^3 - 5*c_0110_2^2 - 5*c_0110_2 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.280 Total time: 0.490 seconds, Total memory usage: 32.09MB