Magma V2.19-8 Tue Aug 20 2013 16:18:54 on localhost [Seed = 2783197392] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3060 geometric_solution 6.23012384 oriented_manifold CS_known -0.0000000000000003 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 7 1 0 1 0 0132 1302 2310 2031 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 1 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 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.676480800922 1.015743493654 0 0 3 2 0132 3201 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 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 0.195390995970 1.301539676538 4 5 1 3 0132 0132 0132 3012 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.043463594792 0.890052602955 6 4 2 1 0132 2310 1230 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.043463594792 0.890052602955 2 4 4 3 0132 1230 3012 3201 0 0 0 0 0 1 0 -1 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 -1 1 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 0.371512393609 0.806297024737 6 2 6 6 1023 0132 2031 3012 0 1 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 -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 0.560310052664 0.521365855100 3 5 5 5 0132 1023 1230 1302 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 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 0.560310052664 0.521365855100 ==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' : 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' : 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_5']), 'c_1100_4' : negation(d['c_0011_2']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0101_4'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : d['c_0101_4'], 'c_1100_2' : d['c_0101_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_3'], 'c_0101_2' : d['c_0101_0'], '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' : negation(d['c_0011_2']), 'c_0011_6' : negation(d['c_0011_2']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_2'], 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0101_3']), 'c_1001_4' : d['c_0011_2'], 'c_1001_6' : d['c_0101_5'], 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : negation(d['c_0101_4']), 'c_1001_2' : negation(d['c_0101_1']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0101_4'], 'c_0110_5' : d['c_0101_5'], 'c_0110_4' : d['c_0101_0'], 'c_0110_6' : d['c_0101_3'], 'c_1010_6' : d['c_0101_5'], 'c_1010_5' : negation(d['c_0101_1']), 'c_1010_4' : d['c_0101_4'], 'c_1010_3' : negation(d['c_0101_0']), 'c_1010_2' : negation(d['c_0101_3']), 'c_1010_1' : negation(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_2, c_0101_0, c_0101_1, c_0101_3, c_0101_4, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 1941355/796928*c_0101_4^9 - 626067/796928*c_0101_4^8 - 15732723/796928*c_0101_4^7 - 194279/49808*c_0101_4^6 - 49522179/796928*c_0101_4^5 - 9282489/199232*c_0101_4^4 - 72088185/796928*c_0101_4^3 - 11812717/99616*c_0101_4^2 - 9172195/398464*c_0101_4 - 69165249/796928, c_0011_0 - 1, c_0011_2 + 59/4528*c_0101_4^9 - 77/4528*c_0101_4^8 + 419/4528*c_0101_4^7 - 233/1132*c_0101_4^6 + 907/4528*c_0101_4^5 - 527/1132*c_0101_4^4 - 1195/4528*c_0101_4^3 - 67/566*c_0101_4^2 - 3559/2264*c_0101_4 + 1605/4528, c_0101_0 - 91/4528*c_0101_4^9 + 349/4528*c_0101_4^8 - 723/4528*c_0101_4^7 + 151/283*c_0101_4^6 - 2435/4528*c_0101_4^5 + 1139/1132*c_0101_4^4 + 903/4528*c_0101_4^3 + 17/566*c_0101_4^2 + 2525/2264*c_0101_4 - 3761/4528, c_0101_1 + 193/4528*c_0101_4^9 + 199/4528*c_0101_4^8 + 1409/4528*c_0101_4^7 + 495/2264*c_0101_4^6 + 4051/4528*c_0101_4^5 + 613/566*c_0101_4^4 + 8447/4528*c_0101_4^3 + 2975/2264*c_0101_4^2 + 863/1132*c_0101_4 + 1365/4528, c_0101_3 + 63/1132*c_0101_4^9 + 61/2264*c_0101_4^8 + 457/1132*c_0101_4^7 + 29/2264*c_0101_4^6 + 2479/2264*c_0101_4^5 + 699/1132*c_0101_4^4 + 1813/1132*c_0101_4^3 + 2707/2264*c_0101_4^2 - 1833/2264*c_0101_4 + 1485/2264, c_0101_4^10 + 8*c_0101_4^8 - c_0101_4^7 + 25*c_0101_4^6 + 11*c_0101_4^5 + 31*c_0101_4^4 + 37*c_0101_4^3 - 6*c_0101_4^2 + 33*c_0101_4 - 11, c_0101_5 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB