Magma V2.19-8 Tue Aug 20 2013 23:42:23 on localhost [Seed = 2260788177] Type ? for help. Type -D to quit. Loading file "L13n2771__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n2771 geometric_solution 9.79457402 oriented_manifold CS_known 0.0000000000000000 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 11 1 2 3 4 0132 0132 0132 0132 1 1 1 1 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 1 0 -1 0 0 0 0 6 0 0 -6 6 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.493167400022 1.880069053833 0 5 4 6 0132 0132 3012 0132 1 1 1 1 0 1 0 -1 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 5 0 -5 0 0 0 0 -6 0 0 6 -6 0 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.166414752619 0.927747394041 5 0 6 7 0132 0132 1230 0132 1 0 1 1 0 0 0 0 0 0 1 -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 0 1 0 0 1 -1 0 6 0 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.244126708690 0.765751651774 8 8 9 0 0132 1302 0132 0132 1 1 1 0 0 0 0 0 0 0 0 0 -1 1 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 -5 5 0 0 -1 2 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.084942615465 0.673811963521 7 1 0 9 1230 1230 0132 0132 1 1 1 1 0 0 0 0 0 0 0 0 1 -1 0 0 -1 0 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 6 -6 0 0 -6 0 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.278424348168 0.575038446286 2 1 7 10 0132 0132 0132 0132 1 0 1 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 0 0 0 0 0 -5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.084942615465 0.673811963521 10 9 1 2 3012 3120 0132 3012 1 1 0 1 0 -1 1 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 -5 5 0 0 0 0 0 0 1 0 -1 5 1 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.478719937471 1.227441593329 8 4 2 5 1230 3012 0132 0132 1 0 1 1 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 6 -1 -5 -1 0 1 0 0 0 0 0 0 -6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.177731301766 1.164588526177 3 7 10 3 0132 3012 3012 2031 1 1 0 1 0 0 1 -1 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 5 -5 0 0 0 0 1 1 0 -2 5 0 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.708603830814 0.521787755247 10 6 4 3 0213 3120 0132 0132 1 1 0 1 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 -1 1 0 0 0 0 0 0 -1 0 1 -5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.372743613230 1.125610803734 9 8 5 6 0213 1230 0132 1230 1 0 1 1 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 0 0 0 0 0 0 0 0 5 0 -5 5 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.724276749402 1.354946925330 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0110_6'], 'c_1001_10' : negation(d['c_0011_4']), 'c_1001_5' : negation(d['c_0101_1']), 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : negation(d['c_0011_4']), 'c_1001_6' : negation(d['c_0101_1']), 'c_1001_1' : negation(d['c_0011_4']), 'c_1001_0' : negation(d['c_0011_4']), 'c_1001_3' : negation(d['c_0011_6']), 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_0101_1'], 'c_1001_8' : negation(d['c_0011_10']), 'c_1010_10' : d['c_0101_0'], '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_0011_9'], 's_2_0' : d['1'], 's_2_1' : negation(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_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_1100_9' : d['c_1100_0'], 'c_1100_8' : d['c_0011_4'], 'c_1100_5' : d['c_0110_6'], 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : d['c_0110_6'], 'c_1100_6' : negation(d['c_1001_2']), 'c_1100_1' : negation(d['c_1001_2']), 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_0110_6'], 'c_1100_10' : d['c_0110_6'], 'c_1010_7' : negation(d['c_0101_1']), 'c_1010_6' : negation(d['c_0011_9']), 'c_1010_5' : negation(d['c_0011_4']), 'c_1010_4' : d['c_0101_1'], 'c_1010_3' : negation(d['c_0011_4']), 'c_1010_2' : negation(d['c_0011_4']), 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : negation(d['c_0011_6']), 'c_1010_8' : d['c_0011_3'], 's_3_1' : d['1'], 's_3_0' : 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_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' : negation(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' : d['c_0011_9'], '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_10'], '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_0110_10' : d['c_0011_6'], 'c_0101_7' : negation(d['c_0011_3']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0011_3']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_6']), 'c_0101_2' : d['c_0011_9'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_10'], 'c_0101_8' : d['c_0101_0'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_6']), 'c_0110_8' : negation(d['c_0011_6']), '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_3']), 'c_0110_5' : d['c_0011_9'], 'c_0110_4' : d['c_0011_10'], 'c_0110_7' : negation(d['c_0011_3']), 'c_0011_10' : d['c_0011_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_6, c_0011_9, c_0101_0, c_0101_1, c_0110_6, c_1001_2, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t + 20349884934314876929/257390328885300*c_1100_0^8 - 2299969450755829013/25739032888530*c_1100_0^7 + 61798339793782911317/64347582221325*c_1100_0^6 - 168636570884084074751/28598925431700*c_1100_0^5 - 2447859043188543545449/257390328885300*c_1100_0^4 + 2698990496264664114427/28598925431700*c_1100_0^3 - 29373620306181586249369/257390328885300*c_1100_0^2 - 202429151947732262299/14299462715850*c_1100_0 - 156222810332963529991/257390328885300, c_0011_0 - 1, c_0011_10 + 1028492729/122217630050*c_1100_0^8 - 145900031/24443526010*c_1100_0^7 + 11657567743/122217630050*c_1100_0^6 - 35720894492/61108815025*c_1100_0^5 - 159950732599/122217630050*c_1100_0^4 + 600188065109/61108815025*c_1100_0^3 - 883598526919/122217630050*c_1100_0^2 - 1151901098257/122217630050*c_1100_0 - 19529324208/61108815025, c_0011_3 - 4238242229/34220936414*c_1100_0^8 + 705008345/4888705202*c_1100_0^7 - 51581130355/34220936414*c_1100_0^\ 6 + 158953646407/17110468207*c_1100_0^5 + 500004727545/34220936414*c_1100_0^4 - 362818615211/2444352601*c_1100_0^3 + 897114747361/4888705202*c_1100_0^2 + 601506341987/34220936414*c_1100_0 - 3941145406/17110468207, c_0011_4 + 1294700192/12221763005*c_1100_0^8 - 531226015/4888705202*c_1100_0^7 + 31044468183/24443526010*c_1100_0^\ 6 - 189866966299/24443526010*c_1100_0^5 - 166436923677/12221763005*c_1100_0^4 + 3064348173783/24443526010*c_1100_0^3 - 1696997384942/12221763005*c_1100_0^2 - 945221689447/24443526010*c_1100_0 - 51225977571/24443526010, c_0011_6 - 31689058809/855523410350*c_1100_0^8 + 531594899/12221763005*c_1100_0^7 - 193920287839/427761705175*c_1100_0^6 + 2379528425739/855523410350*c_1100_0^5 + 3693290078279/855523410350*c_1100_0^4 - 5417094292429/122217630050*c_1100_0^3 + 6819654308307/122217630050*c_1100_0^2 + 1178326541486/427761705175*c_1100_0 - 260794087689/855523410350, c_0011_9 - 1, c_0101_0 - 12505896663/122217630050*c_1100_0^8 + 1318307256/12221763005*c_1100_0^7 - 74924009573/61108815025*c_1100_0^6 + 922105217523/122217630050*c_1100_0^5 + 1589593501103/122217630050*c_1100_0^4 - 14859995128721/122217630050*c_1100_0^3 + 16709003633643/122217630050*c_1100_0^2 + 2159994047002/61108815025*c_1100_0 + 247236352527/122217630050, c_0101_1 + 4446767664/61108815025*c_1100_0^8 - 1866928117/24443526010*c_1100_0^7 + 106820001751/122217630050*c_1100_0^6 - 654602400713/122217630050*c_1100_0^5 - 564464989334/61108815025*c_1100_0^4 + 10551360352051/122217630050*c_1100_0^3 - 5958309621329/61108815025*c_1100_0^2 - 3002957249599/122217630050*c_1100_0 - 114014502037/122217630050, c_0110_6 + 202058206391/855523410350*c_1100_0^8 - 6039977617/24443526010*c_1100_0^7 + 2434946816647/855523410350*c_1100_0^6 - 7430559511768/427761705175*c_1100_0^5 - 25574211439271/855523410350*c_1100_0^4 + 17085464073498/61108815025*c_1100_0^3 - 38790696248043/122217630050*c_1100_0^2 - 61409995453853/855523410350*c_1100_0 - 1369849674757/427761705175, c_1001_2 - 7093578663/61108815025*c_1100_0^8 + 1524625552/12221763005*c_1100_0^7 - 85382856221/61108815025*c_1100_0^6 + 524611050498/61108815025*c_1100_0^5 + 887578508053/61108815025*c_1100_0^4 - 8434617520146/61108815025*c_1100_0^3 + 9690215976468/61108815025*c_1100_0^2 + 2089026772129/61108815025*c_1100_0 + 77924525752/61108815025, c_1100_0^9 - c_1100_0^8 + 12*c_1100_0^7 - 73*c_1100_0^6 - 130*c_1100_0^5 + 1178*c_1100_0^4 - 1288*c_1100_0^3 - 367*c_1100_0^2 - 31*c_1100_0 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.250 seconds, Total memory usage: 32.09MB