Magma V2.19-8 Tue Aug 20 2013 16:16:51 on localhost [Seed = 189437917] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1115 geometric_solution 4.98213816 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 1 2 2 3 0132 0132 1023 0132 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 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 -0.086257965528 0.414612853694 0 3 5 4 0132 2310 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 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 0.515309629607 0.862815443874 6 0 0 6 0132 0132 1023 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.722568609060 0.530402926622 5 4 0 1 1023 0132 0132 3201 0 0 0 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 -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 0.515309629607 0.862815443874 4 3 1 4 3012 0132 0132 1230 0 0 0 0 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 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 0.993254008951 0.597221975831 5 3 5 1 2031 1023 1302 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.734737617566 0.435861136356 2 2 6 6 0132 2310 1230 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.695362211018 0.117401222036 ==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' : 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' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : d['c_0101_2'], 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : negation(d['c_0011_3']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_3']), 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0011_3']), 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_3'], 'c_0011_4' : negation(d['c_0011_3']), 'c_0011_6' : d['c_0011_0'], '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_1001_5' : d['c_0101_1'], 'c_1001_4' : negation(d['c_0110_3']), 'c_1001_6' : negation(d['c_0101_2']), 'c_1001_1' : d['c_0110_3'], 'c_1001_0' : d['c_0101_2'], 'c_1001_3' : d['c_0101_0'], 'c_1001_2' : d['c_0101_0'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0110_3'], 'c_0110_2' : d['c_0101_6'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : negation(d['c_0011_3']), 'c_0110_6' : d['c_0101_2'], 'c_1010_6' : negation(d['c_0101_6']), 'c_1010_5' : d['c_0110_3'], 'c_1010_4' : d['c_0101_0'], 'c_1010_3' : negation(d['c_0110_3']), 'c_1010_2' : d['c_0101_2'], 'c_1010_1' : negation(d['c_0110_3']), 'c_1010_0' : d['c_0101_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_3, c_0101_0, c_0101_1, c_0101_2, c_0101_6, c_0110_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 20 Groebner basis: [ t - 301760/7*c_0110_3^18 - 92640/7*c_0110_3^16 - 68912*c_0110_3^14 - 2109896/7*c_0110_3^12 - 2083456/7*c_0110_3^10 + 709228/7*c_0110_3^8 + 1038308/7*c_0110_3^6 - 170174/7*c_0110_3^4 - 143750/7*c_0110_3^2 + 31159/7, c_0011_0 - 1, c_0011_3 + 190528/11*c_0110_3^19 + 53792/11*c_0110_3^17 + 301088/11*c_0110_3^15 + 1323472/11*c_0110_3^13 + 1278864/11*c_0110_3^11 - 495552/11*c_0110_3^9 - 663064/11*c_0110_3^7 + 122304/11*c_0110_3^5 + 93834/11*c_0110_3^3 - 21132/11*c_0110_3, c_0101_0 - 95264/11*c_0110_3^18 - 26896/11*c_0110_3^16 - 150544/11*c_0110_3^14 - 661736/11*c_0110_3^12 - 639432/11*c_0110_3^10 + 247776/11*c_0110_3^8 + 331532/11*c_0110_3^6 - 61152/11*c_0110_3^4 - 46906/11*c_0110_3^2 + 10566/11, c_0101_1 - 95264/11*c_0110_3^18 - 26896/11*c_0110_3^16 - 150544/11*c_0110_3^14 - 661736/11*c_0110_3^12 - 639432/11*c_0110_3^10 + 247776/11*c_0110_3^8 + 331532/11*c_0110_3^6 - 61152/11*c_0110_3^4 - 46928/11*c_0110_3^2 + 10566/11, c_0101_2 + 21952/11*c_0110_3^18 + 6896/11*c_0110_3^16 + 35136/11*c_0110_3^14 + 153760/11*c_0110_3^12 + 152656/11*c_0110_3^10 - 50500/11*c_0110_3^8 - 75776/11*c_0110_3^6 + 11976/11*c_0110_3^4 + 10492/11*c_0110_3^2 - 2238/11, c_0101_6 + 98336/11*c_0110_3^18 + 26960/11*c_0110_3^16 + 154816/11*c_0110_3^14 + 681584/11*c_0110_3^12 + 653816/11*c_0110_3^10 - 263856/11*c_0110_3^8 - 343472/11*c_0110_3^6 + 65590/11*c_0110_3^4 + 48926/11*c_0110_3^2 - 11148/11, c_0110_3^20 + 3/2*c_0110_3^16 + 13/2*c_0110_3^14 + 19/4*c_0110_3^12 - 9/2*c_0110_3^10 - 11/4*c_0110_3^8 + 13/8*c_0110_3^6 + 5/16*c_0110_3^4 - 1/4*c_0110_3^2 + 1/32 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.210 seconds, Total memory usage: 32.09MB