Magma V2.19-8 Tue Aug 20 2013 16:17:53 on localhost [Seed = 559988194] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2120 geometric_solution 5.61479551 oriented_manifold CS_known -0.0000000000000005 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1302 2031 0132 2310 0 0 0 0 0 -1 0 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 0 1 -1 1 0 0 -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 1.826506235565 1.639707773663 0 2 3 0 3201 0132 0132 0132 0 0 0 0 0 0 0 0 1 0 -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 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 0.331218504558 0.520444027095 3 1 4 5 2310 0132 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.206556007975 1.013835533862 4 5 2 1 2310 2310 3201 0132 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 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 -0.206556007975 1.013835533862 6 6 3 2 0132 3201 3201 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.526906158458 1.576620431988 5 5 2 3 1302 2031 0132 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 -1 0 0 1 0 1 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.372427375772 0.420790315420 4 6 4 6 0132 1302 2310 2031 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.302349533027 0.934211210673 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { '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' : negation(d['1']), 's_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : negation(d['1']), 's_2_3' : d['1'], 's_2_4' : negation(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' : negation(d['1']), 's_1_1' : negation(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' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : d['c_0011_4'], 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : negation(d['c_0011_3']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_1'], 'c_1100_0' : d['c_0011_1'], 'c_1100_3' : d['c_0011_1'], 'c_1100_2' : negation(d['c_0011_3']), 'c_0101_6' : d['c_0011_5'], 'c_0101_5' : negation(d['c_0011_5']), 'c_0101_4' : negation(d['c_0101_1']), 'c_0101_3' : d['c_0011_5'], 'c_0101_2' : d['c_0011_5'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_0']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(d['c_0011_4']), '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_0110_5']), 'c_1001_4' : negation(d['c_0011_5']), 'c_1001_6' : negation(d['c_0101_1']), 'c_1001_1' : negation(d['c_0110_5']), 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : negation(d['c_0011_5']), 'c_1001_2' : d['c_0101_1'], 'c_0110_1' : negation(d['c_0011_0']), 'c_0110_0' : negation(d['c_0101_1']), 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : negation(d['c_0011_5']), 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0011_5'], 'c_0110_6' : negation(d['c_0101_1']), 'c_1010_6' : negation(d['c_0011_4']), 'c_1010_5' : d['c_0011_5'], 'c_1010_4' : d['c_0101_1'], 'c_1010_3' : negation(d['c_0110_5']), 'c_1010_2' : negation(d['c_0110_5']), 'c_1010_1' : d['c_0101_1'], '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_5, c_0101_1, c_0110_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 20 Groebner basis: [ t - 7725031468/92221537*c_0011_5*c_0110_5^9 + 31934888870/92221537*c_0011_5*c_0110_5^8 + 300141189195/184443074*c_0011_5*c_0110_5^7 + 424664798839/184443074*c_0011_5*c_0110_5^6 - 375889433755/184443074*c_0011_5*c_0110_5^5 - 156995804210/92221537*c_0011_5*c_0110_5^4 - 115195759165/92221537*c_0011_5*c_0110_5^3 - 418669555021/92221537*c_0011_5*c_0110_5^2 + 278672894069/184443074*c_0011_5*c_0110_5 + 97577426396/92221537*c_0011_5, c_0011_0 - 1, c_0011_1 + 23989/3480058*c_0110_5^9 - 38861/1740029*c_0110_5^8 - 253253/1740029*c_0110_5^7 - 1256479/3480058*c_0110_5^6 - 948865/3480058*c_0110_5^5 - 441440/1740029*c_0110_5^4 - 196731/1740029*c_0110_5^3 + 54600/1740029*c_0110_5^2 + 1817593/3480058*c_0110_5 + 2166183/3480058, c_0011_3 + 17736967/92221537*c_0011_5*c_0110_5^9 - 77939748/92221537*c_0011_5*c_0110_5^8 - 649421269/184443074*c_0011_5*c_0110_5^7 - 402944791/92221537*c_0011_5*c_0110_5^6 + 1097219575/184443074*c_0011_5*c_0110_5^5 + 550252987/184443074*c_0011_5*c_0110_5^4 + 578368233/184443074*c_0011_5*c_0110_5^3 + 1802676069/184443074*c_0011_5*c_0110_5^2 - 630400647/92221537*c_0011_5*c_0110_5 - 136141131/92221537*c_0011_5, c_0011_4 - 26899136/92221537*c_0011_5*c_0110_5^9 + 115119767/92221537*c_0011_5*c_0110_5^8 + 505076280/92221537*c_0011_5*c_0110_5^7 + 1337421201/184443074*c_0011_5*c_0110_5^6 - 1471957091/184443074*c_0011_5*c_0110_5^5 - 860843901/184443074*c_0011_5*c_0110_5^4 - 406036531/92221537*c_0011_5*c_0110_5^3 - 1492651229/92221537*c_0011_5*c_0110_5^2 + 689267266/92221537*c_0011_5*c_0110_5 + 287255879/184443074*c_0011_5, c_0011_5^2 + 6935123/92221537*c_0110_5^9 - 51576223/184443074*c_0110_5^8 - 144280078/92221537*c_0110_5^7 - 512064371/184443074*c_0110_5^6 + 91946497/184443074*c_0110_5^5 + 243062633/184443074*c_0110_5^4 + 334584897/184443074*c_0110_5^3 + 415664306/92221537*c_0110_5^2 + 130700840/92221537*c_0110_5 - 12402890/92221537, c_0101_1 + 16524465/184443074*c_0110_5^9 - 35066907/92221537*c_0110_5^8 - 155974883/92221537*c_0110_5^7 - 426669177/184443074*c_0110_5^6 + 433157553/184443074*c_0110_5^5 + 129516512/92221537*c_0110_5^4 + 114343272/92221537*c_0110_5^3 + 369465457/92221537*c_0110_5^2 - 420144361/184443074*c_0110_5 - 149583673/184443074, c_0110_5^10 - 4*c_0110_5^9 - 20*c_0110_5^8 - 30*c_0110_5^7 + 21*c_0110_5^6 + 24*c_0110_5^5 + 17*c_0110_5^4 + 56*c_0110_5^3 - 11*c_0110_5^2 - 16*c_0110_5 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.220 seconds, Total memory usage: 32.09MB