Magma V2.19-8 Tue Aug 20 2013 16:18:54 on localhost [Seed = 593673813] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3071 geometric_solution 6.23619090 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 2 1230 3012 0132 0132 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 -1 1 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 0.590595107470 0.742229237660 3 2 4 0 0132 3012 0132 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 1 -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 0.952396832325 0.869045645356 1 3 0 4 1230 3201 0132 3201 0 0 0 0 0 1 -1 0 1 0 0 -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 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 0.952396832325 0.869045645356 1 5 2 6 0132 0132 2310 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.458140875201 0.438568358425 6 2 5 1 1023 2310 1023 0132 0 0 0 0 0 -1 1 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.351180710996 0.927687783460 6 3 4 6 3201 0132 1023 2310 0 0 0 0 0 1 -1 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 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 0.590892284934 0.543528509922 5 4 3 5 3201 1023 0132 2310 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 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 0.590892284934 0.543528509922 ==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_0011_1'], 'c_1100_5' : d['c_0011_4'], 'c_1100_4' : negation(d['c_0011_4']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_4']), 'c_1100_0' : negation(d['c_0011_4']), 'c_1100_3' : d['c_0011_1'], 'c_1100_2' : negation(d['c_0011_4']), 'c_0101_6' : d['c_0101_1'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : d['c_0011_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_1'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : d['c_0011_4'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_1']), 'c_0011_2' : d['c_0011_1'], 'c_1001_5' : d['c_0101_4'], 'c_1001_4' : d['c_0101_5'], 'c_1001_6' : d['c_0101_4'], 'c_1001_1' : negation(d['c_0011_1']), 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0101_5'], 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0011_1'], 'c_0110_5' : negation(d['c_0101_1']), 'c_0110_4' : d['c_0101_1'], 'c_0110_6' : negation(d['c_0101_5']), 'c_1010_6' : d['c_0101_1'], 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : negation(d['c_0011_1']), 'c_1010_3' : d['c_0101_4'], 'c_1010_2' : negation(d['c_0101_5']), 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : negation(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_1, c_0011_4, c_0101_0, c_0101_1, c_0101_4, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t + 17070124409280/5991090341*c_0101_5^10 - 11680586160892/5991090341*c_0101_5^9 - 20695085306816/5991090341*c_0101_5^8 + 87289922005616/5991090341*c_0101_5^7 - 292573557988034/5991090341*c_0101_5^6 - 173100817534573/5991090341*c_0101_5^5 - 299082358801014/5991090341*c_0101_5^4 - 103312015245400/5991090341*c_0101_5^3 - 46198047477602/5991090341*c_0101_5^2 - 1965128851471/5991090341*c_0101_5 - 13347422259185/5991090341, c_0011_0 - 1, c_0011_1 + 3928868928/5991090341*c_0101_5^10 - 4762945272/5991090341*c_0101_5^9 - 4618530656/5991090341*c_0101_5^8 + 24428884588/5991090341*c_0101_5^7 - 77131934236/5991090341*c_0101_5^6 - 12386074262/5991090341*c_0101_5^5 - 20816790002/5991090341*c_0101_5^4 + 9166264517/5991090341*c_0101_5^3 + 13718718654/5991090341*c_0101_5^2 + 3744921308/5991090341*c_0101_5 - 893994191/5991090341, c_0011_4 - 1483824804/5991090341*c_0101_5^10 + 1930230088/5991090341*c_0101_5^9 + 2064925216/5991090341*c_0101_5^8 - 9301857042/5991090341*c_0101_5^7 + 28127634541/5991090341*c_0101_5^6 + 4618349568/5991090341*c_0101_5^5 + 2904744202/5991090341*c_0101_5^4 - 20877779991/5991090341*c_0101_5^3 - 4204622048/5991090341*c_0101_5^2 - 945272654/5991090341*c_0101_5 + 3320507273/5991090341, c_0101_0 - 5809426412/5991090341*c_0101_5^10 + 5008924028/5991090341*c_0101_5^9 + 4989053900/5991090341*c_0101_5^8 - 29624217922/5991090341*c_0101_5^7 + 107020842737/5991090341*c_0101_5^6 + 32966641609/5991090341*c_0101_5^5 + 115521612227/5991090341*c_0101_5^4 + 28457597730/5991090341*c_0101_5^3 + 13062102971/5991090341*c_0101_5^2 - 1949523472/5991090341*c_0101_5 + 1864356799/5991090341, c_0101_1 - c_0101_5, c_0101_4 - 5940137196/5991090341*c_0101_5^10 + 4680730632/5991090341*c_0101_5^9 + 6856614608/5991090341*c_0101_5^8 - 31458632514/5991090341*c_0101_5^7 + 105652199675/5991090341*c_0101_5^6 + 50299562448/5991090341*c_0101_5^5 + 93155876476/5991090341*c_0101_5^4 + 32061301772/5991090341*c_0101_5^3 + 6882275261/5991090341*c_0101_5^2 - 6926579334/5991090341*c_0101_5 - 578610526/5991090341, c_0101_5^11 - c_0101_5^10 - c_0101_5^9 + 11/2*c_0101_5^8 - 75/4*c_0101_5^7 - 19/4*c_0101_5^6 - 57/4*c_0101_5^5 - 1/2*c_0101_5^4 - 3/4*c_0101_5^3 + 3/4*c_0101_5^2 - 3/4*c_0101_5 + 1/4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB