Magma V2.19-8 Tue Aug 20 2013 16:19:06 on localhost [Seed = 54697593] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3229 geometric_solution 6.35518237 oriented_manifold CS_known -0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 7 1 0 0 2 0132 3201 2310 0132 0 0 0 0 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 1 0 -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 0.542872228267 0.879380185375 0 3 2 4 0132 0132 3201 0132 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.804318748604 0.883527334385 1 5 0 3 2310 0132 0132 1023 0 0 0 0 0 0 -1 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 -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 0.804318748604 0.883527334385 6 1 6 2 0132 0132 2310 1023 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 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 0.458017137460 0.396939872848 5 6 1 5 3012 2310 0132 3120 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.372984732667 0.408556643503 4 2 6 4 3120 0132 1023 1230 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 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 0 0 0 0 0 0 0.372984732667 0.408556643503 3 3 5 4 0132 3201 1023 3201 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 -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 0.721223699184 1.633356261874 ==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' : negation(d['1']), 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : d['1'], 's_1_6' : negation(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' : negation(d['1']), 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : negation(d['c_0011_4']), 'c_1100_5' : d['c_0011_4'], 'c_1100_4' : negation(d['c_0011_2']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_2']), 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : d['c_0011_0'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0011_2'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : negation(d['c_0011_2']), 'c_0101_2' : d['c_0101_1'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_2']), 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(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_0'], 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : d['c_0101_6'], 'c_1001_4' : d['c_1001_3'], 'c_1001_6' : d['c_0011_2'], 'c_1001_1' : negation(d['c_0101_1']), 'c_1001_0' : negation(d['c_0101_0']), 'c_1001_3' : d['c_1001_3'], '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_0101_6'], 'c_0110_2' : negation(d['c_0101_1']), 'c_0110_5' : d['c_0011_4'], 'c_0110_4' : d['c_0011_4'], 'c_0110_6' : negation(d['c_0011_2']), 'c_1010_6' : negation(d['c_1001_3']), 'c_1010_5' : d['c_0101_0'], 'c_1010_4' : d['c_0011_2'], 'c_1010_3' : negation(d['c_0101_1']), 'c_1010_2' : d['c_0101_6'], 'c_1010_1' : d['c_1001_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_2, c_0011_4, c_0101_0, c_0101_1, c_0101_6, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t + 768370800/6170039*c_1001_3^13 + 2646053258/6170039*c_1001_3^12 - 664865591/6170039*c_1001_3^11 - 7957531650/6170039*c_1001_3^10 + 445585352/6170039*c_1001_3^9 + 10158877582/6170039*c_1001_3^8 - 6082767299/6170039*c_1001_3^7 - 6504718782/6170039*c_1001_3^6 + 17384791956/6170039*c_1001_3^5 + 5804002170/6170039*c_1001_3^4 - 15972106713/6170039*c_1001_3^3 - 4652534759/6170039*c_1001_3^2 + 4338424760/6170039*c_1001_3 + 813738186/6170039, c_0011_0 - 1, c_0011_2 - 5037219/6170039*c_1001_3^13 - 22977285/6170039*c_1001_3^12 - 8912933/6170039*c_1001_3^11 + 68112055/6170039*c_1001_3^10 + 27262624/6170039*c_1001_3^9 - 99889342/6170039*c_1001_3^8 + 28439490/6170039*c_1001_3^7 + 96540294/6170039*c_1001_3^6 - 147885857/6170039*c_1001_3^5 - 104150370/6170039*c_1001_3^4 + 136367261/6170039*c_1001_3^3 + 58168530/6170039*c_1001_3^2 - 35058455/6170039*c_1001_3 - 1957742/6170039, c_0011_4 - 15479967/6170039*c_1001_3^13 - 49273046/6170039*c_1001_3^12 + 24932581/6170039*c_1001_3^11 + 149780740/6170039*c_1001_3^10 - 48115496/6170039*c_1001_3^9 - 185001528/6170039*c_1001_3^8 + 173790915/6170039*c_1001_3^7 + 80255956/6170039*c_1001_3^6 - 372783086/6170039*c_1001_3^5 - 14165822/6170039*c_1001_3^4 + 313175808/6170039*c_1001_3^3 - 6850548/6170039*c_1001_3^2 - 80532437/6170039*c_1001_3 + 13069048/6170039, c_0101_0 + 18045483/6170039*c_1001_3^13 + 63156334/6170039*c_1001_3^12 - 17492638/6170039*c_1001_3^11 - 198642879/6170039*c_1001_3^10 + 22503554/6170039*c_1001_3^9 + 268915063/6170039*c_1001_3^8 - 184041651/6170039*c_1001_3^7 - 175690450/6170039*c_1001_3^6 + 481988987/6170039*c_1001_3^5 + 105996274/6170039*c_1001_3^4 - 452176752/6170039*c_1001_3^3 - 41443726/6170039*c_1001_3^2 + 135815817/6170039*c_1001_3 - 18080730/6170039, c_0101_1 + 28924044/6170039*c_1001_3^13 + 89518561/6170039*c_1001_3^12 - 60172366/6170039*c_1001_3^11 - 288880376/6170039*c_1001_3^10 + 126832597/6170039*c_1001_3^9 + 365602268/6170039*c_1001_3^8 - 372969417/6170039*c_1001_3^7 - 139006535/6170039*c_1001_3^6 + 736801369/6170039*c_1001_3^5 - 38439657/6170039*c_1001_3^4 - 644417073/6170039*c_1001_3^3 + 53097397/6170039*c_1001_3^2 + 186803710/6170039*c_1001_3 - 28917701/6170039, c_0101_6 - c_1001_3, c_1001_3^14 + 8/3*c_1001_3^13 - 10/3*c_1001_3^12 - 9*c_1001_3^11 + 25/3*c_1001_3^10 + 32/3*c_1001_3^9 - 53/3*c_1001_3^8 + 1/3*c_1001_3^7 + 27*c_1001_3^6 - 34/3*c_1001_3^5 - 65/3*c_1001_3^4 + 32/3*c_1001_3^3 + 6*c_1001_3^2 - 11/3*c_1001_3 + 1/3 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.200 seconds, Total memory usage: 32.09MB