Magma V2.19-8 Tue Aug 20 2013 16:16:00 on localhost [Seed = 1899031990] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0241 geometric_solution 4.25588955 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1302 2031 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 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 8.062201840163 6.097965616291 0 2 2 0 3201 0132 3201 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 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 -0.081745093816 0.096010676934 1 1 3 4 2310 0132 0132 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 -1 1 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 2.913752669396 5.497126347954 4 5 6 2 1302 0132 0132 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 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 -0.135637789349 0.644128465541 6 3 2 5 1230 2031 0132 1302 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 -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 -0.135637789349 0.644128465541 6 3 4 6 2031 0132 2031 3120 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 -1 0 1 0 0 0 0 -1 0 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.118268450770 1.202202519257 5 4 5 3 3120 3012 1302 0132 0 0 0 0 0 0 0 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 -1 1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.414816431140 0.445951379745 ==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' : negation(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' : negation(d['1']), 's_0_1' : d['1'], 'c_1100_6' : d['c_0101_5'], 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : d['c_0101_5'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_1'], 'c_1100_0' : d['c_0011_1'], 'c_1100_3' : d['c_0101_5'], 'c_1100_2' : d['c_0101_5'], 'c_0101_6' : d['c_0011_3'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0011_6'], 'c_0101_3' : negation(d['c_0011_4']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_6']), 'c_0101_0' : negation(d['c_0011_0']), 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : d['c_0011_6'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : negation(d['c_0011_6']), 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_6' : negation(d['c_0011_4']), 'c_1001_1' : negation(d['c_0101_2']), 'c_1001_0' : negation(d['c_0011_6']), 'c_1001_3' : negation(d['c_0011_6']), 'c_1001_2' : negation(d['c_0011_6']), 'c_0110_1' : negation(d['c_0011_0']), 'c_0110_0' : d['c_0011_6'], 'c_0110_3' : d['c_0101_2'], 'c_0110_2' : d['c_0011_6'], 'c_0110_5' : negation(d['c_0011_4']), 'c_0110_4' : d['c_0011_6'], 'c_0110_6' : negation(d['c_0011_4']), 'c_1010_6' : negation(d['c_0011_6']), 'c_1010_5' : negation(d['c_0011_6']), 'c_1010_4' : d['c_0011_3'], 'c_1010_3' : negation(d['c_0011_6']), 'c_1010_2' : negation(d['c_0101_2']), 'c_1010_1' : negation(d['c_0011_6']), 'c_1010_0' : d['c_0011_0']})} 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_1, c_0011_3, c_0011_4, c_0011_6, c_0101_2, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t + 406079465471236349/110656028648550835*c_0101_5^10 + 689100847057959049/110656028648550835*c_0101_5^9 + 37111023862659268/22131205729710167*c_0101_5^8 - 4545616193345193609/110656028648550835*c_0101_5^7 - 8374039186526698987/110656028648550835*c_0101_5^6 + 77801038982713729492/110656028648550835*c_0101_5^5 + 94874344091356101387/110656028648550835*c_0101_5^4 - 185287272745726610522/110656028648550835*c_0101_5^3 - 75516519358397138002/110656028648550835*c_0101_5^2 + 183022610974595755451/110656028648550835*c_0101_5 - 71954863046409354759/110656028648550835, c_0011_0 - 1, c_0011_1 + 896005347/90766017421*c_0101_5^10 + 1875605360/90766017421*c_0101_5^9 + 2405010380/90766017421*c_0101_5^8 - 8142666531/90766017421*c_0101_5^7 - 20203752617/90766017421*c_0101_5^6 + 148279513072/90766017421*c_0101_5^5 + 258562740999/90766017421*c_0101_5^4 - 77933092274/90766017421*c_0101_5^3 - 117734030429/90766017421*c_0101_5^2 + 39066562684/90766017421*c_0101_5 - 51519225059/90766017421, c_0011_3 - 6342383055/28409763452773*c_0101_5^10 + 437287780133/28409763452773*c_0101_5^9 + 356173678384/28409763452773*c_0101_5^8 + 447711186408/28409763452773*c_0101_5^7 - 4992735313366/28409763452773*c_0101_5^6 - 5535568648857/28409763452773*c_0101_5^5 + 82918799169737/28409763452773*c_0101_5^4 + 30812782144420/28409763452773*c_0101_5^3 - 133009840681732/28409763452773*c_0101_5^2 + 42921241586096/28409763452773*c_0101_5 + 14299680675521/28409763452773, c_0011_4 - 6342383055/28409763452773*c_0101_5^10 + 437287780133/28409763452773*c_0101_5^9 + 356173678384/28409763452773*c_0101_5^8 + 447711186408/28409763452773*c_0101_5^7 - 4992735313366/28409763452773*c_0101_5^6 - 5535568648857/28409763452773*c_0101_5^5 + 82918799169737/28409763452773*c_0101_5^4 + 30812782144420/28409763452773*c_0101_5^3 - 133009840681732/28409763452773*c_0101_5^2 + 42921241586096/28409763452773*c_0101_5 + 14299680675521/28409763452773, c_0011_6 + 216513436578/28409763452773*c_0101_5^10 + 497880553007/28409763452773*c_0101_5^9 + 557764567251/28409763452773*c_0101_5^8 - 1804547534840/28409763452773*c_0101_5^7 - 5418670818230/28409763452773*c_0101_5^6 + 36900786706078/28409763452773*c_0101_5^5 + 69212272905622/28409763452773*c_0101_5^4 - 25040053879330/28409763452773*c_0101_5^3 - 26860203362214/28409763452773*c_0101_5^2 + 22883718658153/28409763452773*c_0101_5 - 7719919942872/28409763452773, c_0101_2 - 955491918/90766017421*c_0101_5^10 - 2004510391/90766017421*c_0101_5^9 - 2408612399/90766017421*c_0101_5^8 + 8397980612/90766017421*c_0101_5^7 + 22582006605/90766017421*c_0101_5^6 - 162337818327/90766017421*c_0101_5^5 - 268754472868/90766017421*c_0101_5^4 + 103291992972/90766017421*c_0101_5^3 + 103353129398/90766017421*c_0101_5^2 - 4847610350/90766017421*c_0101_5 + 19975353277/90766017421, c_0101_5^11 + 2*c_0101_5^10 + c_0101_5^9 - 11*c_0101_5^8 - 24*c_0101_5^7 + 185*c_0101_5^6 + 291*c_0101_5^5 - 380*c_0101_5^4 - 316*c_0101_5^3 + 381*c_0101_5^2 - 52*c_0101_5 - 41 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.210 seconds, Total memory usage: 32.09MB