Magma V2.19-8 Tue Aug 20 2013 23:55:31 on localhost [Seed = 3852701094] Type ? for help. Type -D to quit. Loading file "L14a5572__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L14a5572 geometric_solution 9.95995086 oriented_manifold CS_known 0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 2 0132 0132 0132 0213 0 1 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 0 0 0 0 0 0 0 0 2 -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 0 0 0 0 0 0.497121936648 0.850652268131 0 4 6 5 0132 0132 0132 0132 1 1 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 -21 21 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.470150648194 0.855075485686 7 0 6 0 0132 0132 3012 0213 0 1 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 0 0 0 0 0 0 0 0 -2 1 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 0.497121936648 0.850652268131 7 6 6 0 2031 3012 3120 0132 0 1 1 1 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 -1 0 1 1 0 0 -1 0 0 0 0 20 1 -21 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.487893573871 0.876293039588 8 1 9 5 0132 0132 0132 0321 1 1 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 0 0 0 0 0 0 0 0 21 -1 -20 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 0.976219044620 0.608541332517 9 4 1 7 1023 0321 0132 1023 1 1 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 0 0 0 0 0 0 0 0 20 0 -20 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 -0.511420119725 0.953347037266 3 2 3 1 1230 1230 3120 0132 1 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 0 0 0 0 0 21 -21 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 0.497121936648 0.850652268131 2 9 3 5 0132 0213 1302 1023 1 1 1 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 0 0 0 0 0 0 0 1 -1 0 0 0 -20 20 -1 1 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.470150648194 0.855075485686 4 9 10 10 0132 2031 2310 0132 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.476654847651 0.664196438794 8 5 7 4 1302 1023 0213 0132 1 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 -1 1 0 0 -1 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 0.262298999305 0.459857398230 11 8 8 11 0132 3201 0132 3201 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.603305446843 0.346109993604 10 10 11 11 0132 2310 1230 3012 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2.517453491035 0.235738323026 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0011_3'], 'c_1001_11' : negation(d['c_0101_10']), 'c_1001_10' : d['c_0011_5'], 'c_1001_5' : d['c_0110_5'], 'c_1001_4' : d['c_0110_5'], 'c_1001_7' : d['c_0101_0'], 'c_1001_6' : d['c_0011_6'], 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : negation(d['c_0101_6']), 'c_1001_3' : negation(d['c_0011_6']), 'c_1001_2' : negation(d['c_0011_6']), 'c_1001_9' : d['c_0101_0'], 'c_1001_8' : negation(d['c_0101_10']), 'c_1010_11' : negation(d['c_0101_11']), 'c_1010_10' : d['c_0101_10'], 's_0_10' : d['1'], 's_3_10' : 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_10'], 's_2_0' : negation(d['1']), 's_2_1' : negation(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_2_11' : d['1'], 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : negation(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_0110_5'], 'c_1100_8' : d['c_0011_10'], 'c_1100_5' : negation(d['c_0101_3']), 'c_1100_4' : d['c_0110_5'], 'c_1100_7' : d['c_0101_3'], 'c_1100_6' : negation(d['c_0101_3']), 'c_1100_1' : negation(d['c_0101_3']), 'c_1100_0' : negation(d['c_0101_6']), 'c_1100_3' : negation(d['c_0101_6']), 'c_1100_2' : negation(d['c_0011_6']), 's_3_11' : d['1'], 'c_1100_11' : d['c_0101_10'], 'c_1100_10' : d['c_0011_10'], 's_0_11' : d['1'], 'c_1010_7' : d['c_0110_5'], 'c_1010_6' : d['c_0101_2'], 'c_1010_5' : d['c_0101_2'], 'c_1010_4' : d['c_0101_2'], 'c_1010_3' : negation(d['c_0101_6']), 'c_1010_2' : negation(d['c_0101_6']), 'c_1010_1' : d['c_0110_5'], 'c_1010_0' : negation(d['c_0011_6']), 'c_1010_9' : d['c_0110_5'], 'c_1010_8' : d['c_0011_5'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : negation(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' : negation(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' : negation(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_5'], 'c_0011_8' : negation(d['c_0011_0']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : 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_0110_11' : d['c_0101_10'], 'c_0110_10' : d['c_0101_11'], 'c_0110_0' : d['c_0011_3'], 'c_0101_7' : negation(d['c_0011_3']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_10'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0011_3'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_0'], 'c_0101_8' : negation(d['c_0011_5']), 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_10'], 'c_0110_8' : d['c_0101_10'], 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : negation(d['c_0011_10']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_3']), 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : negation(d['c_0011_5']), '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_3, c_0011_5, c_0011_6, c_0101_0, c_0101_10, c_0101_11, c_0101_2, c_0101_3, c_0101_6, c_0110_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t + 224938023755723/2533030923267*c_0110_5^8 - 9131674598167847/2533030923267*c_0110_5^7 + 4779953946331583/562895760726*c_0110_5^6 - 7569815126268931/5066061846534*c_0110_5^5 + 16071977985861313/5066061846534*c_0110_5^4 - 13892650416229924/2533030923267*c_0110_5^3 + 1045746235560839/1688687282178*c_0110_5^2 - 1853107155971492/2533030923267*c_0110_5 + 997134053542477/5066061846534, c_0011_0 - 1, c_0011_10 + 47916288/131949311*c_0110_5^8 - 1939006568/131949311*c_0110_5^7 + 4325796903/131949311*c_0110_5^6 - 61797908/131949311*c_0110_5^5 + 1150906441/131949311*c_0110_5^4 - 2491410536/131949311*c_0110_5^3 + 12435210/131949311*c_0110_5^2 - 117924984/131949311*c_0110_5 + 52812137/131949311, c_0011_3 + 125716470/131949311*c_0110_5^8 - 5119134262/131949311*c_0110_5^7 + 12648681436/131949311*c_0110_5^6 - 3509252926/131949311*c_0110_5^5 + 4536523502/131949311*c_0110_5^4 - 8292828774/131949311*c_0110_5^3 + 1900864516/131949311*c_0110_5^2 - 1029669256/131949311*c_0110_5 + 526456774/131949311, c_0011_5 + 35241008/131949311*c_0110_5^8 - 1431563204/131949311*c_0110_5^7 + 3405152924/131949311*c_0110_5^6 - 617851768/131949311*c_0110_5^5 + 1135906476/131949311*c_0110_5^4 - 2122062524/131949311*c_0110_5^3 + 95546133/131949311*c_0110_5^2 - 102125576/131949311*c_0110_5 - 6232841/131949311, c_0011_6 + 1, c_0101_0 - 125716470/131949311*c_0110_5^8 + 5119134262/131949311*c_0110_5^7 - 12648681436/131949311*c_0110_5^6 + 3509252926/131949311*c_0110_5^5 - 4536523502/131949311*c_0110_5^4 + 8292828774/131949311*c_0110_5^3 - 1900864516/131949311*c_0110_5^2 + 1029669256/131949311*c_0110_5 - 394507463/131949311, c_0101_10 + 13318124/131949311*c_0110_5^8 - 541839972/131949311*c_0110_5^7 + 1320403672/131949311*c_0110_5^6 - 308974852/131949311*c_0110_5^5 + 521013076/131949311*c_0110_5^4 - 1032166123/131949311*c_0110_5^3 - 13614118/131949311*c_0110_5^2 - 50488570/131949311*c_0110_5 + 35241008/131949311, c_0101_11 - 34803656/131949311*c_0110_5^8 + 1407174137/131949311*c_0110_5^7 - 3092335882/131949311*c_0110_5^6 - 92616066/131949311*c_0110_5^5 - 819989660/131949311*c_0110_5^4 + 1932029766/131949311*c_0110_5^3 + 39851180/131949311*c_0110_5^2 + 91819372/131949311*c_0110_5 - 59740448/131949311, c_0101_2 - 125716470/131949311*c_0110_5^8 + 5119134262/131949311*c_0110_5^7 - 12648681436/131949311*c_0110_5^6 + 3509252926/131949311*c_0110_5^5 - 4536523502/131949311*c_0110_5^4 + 8292828774/131949311*c_0110_5^3 - 1900864516/131949311*c_0110_5^2 + 1029669256/131949311*c_0110_5 - 394507463/131949311, c_0101_3 - 1, c_0101_6 + 1, c_0110_5^9 - 41*c_0110_5^8 + 112*c_0110_5^7 - 55*c_0110_5^6 + 41*c_0110_5^5 - 75*c_0110_5^4 + 32*c_0110_5^3 - 10*c_0110_5^2 + 5*c_0110_5 - 1 ], Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0011_5, c_0011_6, c_0101_0, c_0101_10, c_0101_11, c_0101_2, c_0101_3, c_0101_6, c_0110_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 83028387159290/56436313549*c_0110_5^9 + 711775005586811/56436313549*c_0110_5^8 - 71271867584189/8062330507*c_0110_5^7 + 1535260989403/701072218*c_0110_5^6 - 1623852819685609/112872627098*c_0110_5^5 + 1118968867268449/112872627098*c_0110_5^4 - 34730200010008/56436313549*c_0110_5^3 + 326970518229485/112872627098*c_0110_5^2 - 9563957495920/5130573959*c_0110_5 - 15971980572371/112872627098, c_0011_0 - 1, c_0011_10 - 538590440/732939137*c_0110_5^9 + 4519168776/732939137*c_0110_5^8 - 2405299480/732939137*c_0110_5^7 - 6361433/31866919*c_0110_5^6 - 1543251300/732939137*c_0110_5^5 + 750887663/732939137*c_0110_5^4 + 2092766056/732939137*c_0110_5^3 - 602741466/732939137*c_0110_5^2 + 54242416/104705591*c_0110_5 - 328522721/732939137, c_0011_3 - 702587380/732939137*c_0110_5^9 + 7055829282/732939137*c_0110_5^8 - 12649160522/732939137*c_0110_5^7 + 177618472/31866919*c_0110_5^6 - 9709390374/732939137*c_0110_5^5 + 14646517834/732939137*c_0110_5^4 - 3813385466/732939137*c_0110_5^3 + 3648518308/732939137*c_0110_5^2 - 472688356/104705591*c_0110_5 + 1203720370/732939137, c_0011_5 + 802801600/732939137*c_0110_5^9 - 6396132840/732939137*c_0110_5^8 + 1134357860/732939137*c_0110_5^7 - 89182084/31866919*c_0110_5^6 + 7550385296/732939137*c_0110_5^5 - 1354329636/732939137*c_0110_5^4 + 1681273644/732939137*c_0110_5^3 - 2636582869/732939137*c_0110_5^2 + 121775240/104705591*c_0110_5 - 662680399/732939137, c_0011_6 - 1, c_0101_0 - 702587380/732939137*c_0110_5^9 + 7055829282/732939137*c_0110_5^8 - 12649160522/732939137*c_0110_5^7 + 177618472/31866919*c_0110_5^6 - 9709390374/732939137*c_0110_5^5 + 14646517834/732939137*c_0110_5^4 - 3813385466/732939137*c_0110_5^3 + 3648518308/732939137*c_0110_5^2 - 472688356/104705591*c_0110_5 + 470781233/732939137, c_0101_10 - 748801400/732939137*c_0110_5^9 + 6010576380/732939137*c_0110_5^8 - 1320578788/732939137*c_0110_5^7 + 52180528/31866919*c_0110_5^6 - 6753966524/732939137*c_0110_5^5 + 1128531956/732939137*c_0110_5^4 + 388738389/732939137*c_0110_5^3 + 2219054794/732939137*c_0110_5^2 - 67379934/104705591*c_0110_5 + 80280160/732939137, c_0101_11 - 1092792380/732939137*c_0110_5^9 + 9095103452/732939137*c_0110_5^8 - 5136301255/732939137*c_0110_5^7 + 293361854/31866919*c_0110_5^6 - 7367660350/732939137*c_0110_5^5 + 3972241488/732939137*c_0110_5^4 - 3934858682/732939137*c_0110_5^3 + 908115540/732939137*c_0110_5^2 - 53793664/104705591*c_0110_5 + 195160676/732939137, c_0101_2 - 702587380/732939137*c_0110_5^9 + 7055829282/732939137*c_0110_5^8 - 12649160522/732939137*c_0110_5^7 + 177618472/31866919*c_0110_5^6 - 9709390374/732939137*c_0110_5^5 + 14646517834/732939137*c_0110_5^4 - 3813385466/732939137*c_0110_5^3 + 3648518308/732939137*c_0110_5^2 - 472688356/104705591*c_0110_5 + 470781233/732939137, c_0101_3 - 1, c_0101_6 + 1, c_0110_5^10 - 89/10*c_0110_5^9 + 89/10*c_0110_5^8 - 21/5*c_0110_5^7 + 109/10*c_0110_5^6 - 101/10*c_0110_5^5 + 7/2*c_0110_5^4 - 14/5*c_0110_5^3 + 2*c_0110_5^2 - 1/2*c_0110_5 + 1/10 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.080 Total time: 0.290 seconds, Total memory usage: 32.09MB