Magma V2.19-8 Tue Aug 20 2013 16:17:58 on localhost [Seed = 1065264120] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2201 geometric_solution 5.65488928 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 2 0132 0132 0132 1302 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 -1 1 0 0 0 0 0 -1 0 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.740523742190 1.475305445653 0 4 5 4 0132 0132 0132 3120 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 -1 0 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.423979528218 0.299713723238 3 0 0 4 1302 0132 2031 0132 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 1 -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 0 0 0 0 0 0.728238351746 0.541416050218 6 2 6 0 0132 2031 2310 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 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 -0.181548442023 0.813840440363 1 1 2 5 3120 0132 0132 1230 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.366182057787 0.710848886834 4 6 6 1 3012 0213 2031 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.399950857734 0.682222321397 3 3 5 5 0132 3201 0213 1302 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.465347508776 0.249073016791 ==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' : negation(d['1']), 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : negation(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' : negation(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' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : d['c_0101_5'], 'c_1100_5' : negation(d['c_0101_4']), 'c_1100_4' : d['c_0101_1'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0101_4']), 'c_1100_0' : negation(d['c_0011_3']), 'c_1100_3' : negation(d['c_0011_3']), 'c_1100_2' : d['c_0101_1'], 'c_0101_6' : d['c_0011_5'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0011_3']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_5'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_6' : negation(d['c_0011_3']), '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' : negation(d['c_0101_3']), 'c_1001_4' : negation(d['c_0011_0']), 'c_1001_6' : negation(d['c_0101_3']), 'c_1001_1' : d['c_0101_5'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0101_4']), 'c_1001_2' : negation(d['c_0101_1']), 'c_0110_1' : d['c_0011_5'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_5'], 'c_0110_2' : d['c_0101_4'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0011_5'], 'c_0110_6' : d['c_0101_3'], 'c_1010_6' : d['c_0101_4'], 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : d['c_0101_5'], 'c_1010_3' : negation(d['c_0011_0']), 'c_1010_2' : negation(d['c_0011_0']), 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : negation(d['c_0101_1'])})} 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_0011_5, c_0101_1, c_0101_3, c_0101_4, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t - 1259524037/586023550*c_0101_5^10 + 586510617/83717650*c_0101_5^9 - 3170558997/293011775*c_0101_5^8 + 476774357/11720471*c_0101_5^7 - 71729282137/586023550*c_0101_5^6 + 98881203353/586023550*c_0101_5^5 - 27304510823/293011775*c_0101_5^4 - 7032883257/586023550*c_0101_5^3 + 32044997933/586023550*c_0101_5^2 - 16101910631/586023550*c_0101_5 - 6822008339/586023550, c_0011_0 - 1, c_0011_3 + 167811/1674353*c_0101_5^10 - 261865/1674353*c_0101_5^9 + 107991/1674353*c_0101_5^8 - 2180960/1674353*c_0101_5^7 + 4585536/1674353*c_0101_5^6 - 117108/1674353*c_0101_5^5 - 7404034/1674353*c_0101_5^4 + 7064186/1674353*c_0101_5^3 - 2041239/1674353*c_0101_5^2 - 2784745/1674353*c_0101_5 + 2491592/1674353, c_0011_5 + 175873/3348706*c_0101_5^10 - 47100/1674353*c_0101_5^9 + 96297/3348706*c_0101_5^8 - 1285479/1674353*c_0101_5^7 + 1498886/1674353*c_0101_5^6 + 612002/1674353*c_0101_5^5 + 118688/1674353*c_0101_5^4 - 4778331/3348706*c_0101_5^3 + 711995/1674353*c_0101_5^2 + 112114/1674353*c_0101_5 - 1364891/1674353, c_0101_1 - 128773/1674353*c_0101_5^10 + 512995/3348706*c_0101_5^9 - 161293/1674353*c_0101_5^8 + 3400793/3348706*c_0101_5^7 - 4389306/1674353*c_0101_5^6 + 1548552/1674353*c_0101_5^5 + 5409758/1674353*c_0101_5^4 - 6178938/1674353*c_0101_5^3 + 2430873/3348706*c_0101_5^2 + 2708116/1674353*c_0101_5 - 1540764/1674353, c_0101_3 - 307365/3348706*c_0101_5^10 + 278955/1674353*c_0101_5^9 - 488745/3348706*c_0101_5^8 + 2104558/1674353*c_0101_5^7 - 4817280/1674353*c_0101_5^6 + 2378492/1674353*c_0101_5^5 + 4870413/1674353*c_0101_5^4 - 16224261/3348706*c_0101_5^3 + 3736307/1674353*c_0101_5^2 + 2325299/1674353*c_0101_5 - 1887213/1674353, c_0101_4 - 175873/3348706*c_0101_5^10 + 47100/1674353*c_0101_5^9 - 96297/3348706*c_0101_5^8 + 1285479/1674353*c_0101_5^7 - 1498886/1674353*c_0101_5^6 - 612002/1674353*c_0101_5^5 - 118688/1674353*c_0101_5^4 + 4778331/3348706*c_0101_5^3 - 711995/1674353*c_0101_5^2 - 112114/1674353*c_0101_5 + 1364891/1674353, c_0101_5^11 - 3*c_0101_5^10 + 4*c_0101_5^9 - 17*c_0101_5^8 + 51*c_0101_5^7 - 60*c_0101_5^6 + 12*c_0101_5^5 + 33*c_0101_5^4 - 35*c_0101_5^3 + 7*c_0101_5^2 + 14*c_0101_5 - 2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.210 seconds, Total memory usage: 32.09MB