Magma V2.19-8 Tue Aug 20 2013 16:18:41 on localhost [Seed = 1360055389] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2852 geometric_solution 6.07619945 oriented_manifold CS_known 0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 7 1 2 0 0 0132 0132 2031 1302 0 0 0 0 0 0 0 0 1 0 0 -1 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 -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 0.714620963985 1.157637362886 0 3 5 4 0132 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 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 0.373856737405 1.424634029475 3 0 4 5 2310 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.373856737405 1.424634029475 3 1 2 3 3201 0132 3201 2310 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 0.145274085824 0.563676729585 2 6 1 6 2310 0132 0132 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.679177430126 1.018988170722 5 5 2 1 1302 2031 0132 0132 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 1 -1 0 -1 0 0 1 -1 1 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.120103261164 0.581807072827 4 4 6 6 3201 0132 2031 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 0.490857075297 0.163674479607 ==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' : negation(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_0101_2'], 'c_1100_5' : negation(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' : d['c_0101_0'], 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : negation(d['c_0011_4']), 'c_0101_6' : d['c_0101_2'], 'c_0101_5' : negation(d['c_0011_5']), 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0011_5'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_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' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_0'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0101_1']), 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_6' : negation(d['c_0110_6']), 'c_1001_1' : d['c_0011_5'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_2']), 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0011_5']), 'c_0110_2' : negation(d['c_0011_5']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : negation(d['c_0101_2']), 'c_0110_6' : d['c_0110_6'], 'c_1010_6' : negation(d['c_0101_2']), 'c_1010_5' : d['c_0011_5'], 'c_1010_4' : negation(d['c_0110_6']), 'c_1010_3' : d['c_0011_5'], 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0101_2']), '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_4, c_0011_5, c_0101_0, c_0101_1, c_0101_2, c_0110_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t - 62411679/22802*c_0101_2*c_0110_6^8 + 137019852/11401*c_0101_2*c_0110_6^7 - 307693530/11401*c_0101_2*c_0110_6^6 + 865575189/22802*c_0101_2*c_0110_6^5 - 58455175/1754*c_0101_2*c_0110_6^4 + 332715150/11401*c_0101_2*c_0110_6^3 - 215820294/11401*c_0101_2*c_0110_6^2 - 23021857/11401*c_0101_2*c_0110_6 + 115191725/22802*c_0101_2, c_0011_0 - 1, c_0011_4 + 2226/877*c_0101_2*c_0110_6^8 - 6165/877*c_0101_2*c_0110_6^7 + 9670/877*c_0101_2*c_0110_6^6 - 7321/877*c_0101_2*c_0110_6^5 + 57/877*c_0101_2*c_0110_6^4 - 6166/877*c_0101_2*c_0110_6^3 - 5512/877*c_0101_2*c_0110_6^2 + 4676/877*c_0101_2*c_0110_6 + 3795/877*c_0101_2, c_0011_5 + 5166/877*c_0101_2*c_0110_6^8 - 12570/877*c_0101_2*c_0110_6^7 + 16584/877*c_0101_2*c_0110_6^6 - 6731/877*c_0101_2*c_0110_6^5 - 10491/877*c_0101_2*c_0110_6^4 - 9478/877*c_0101_2*c_0110_6^3 - 21562/877*c_0101_2*c_0110_6^2 + 13185/877*c_0101_2*c_0110_6 + 11521/877*c_0101_2, c_0101_0 - 2739/877*c_0110_6^8 + 8880/877*c_0110_6^7 - 16423/877*c_0110_6^6 + 17751/877*c_0110_6^5 - 10158/877*c_0110_6^4 + 13674/877*c_0110_6^3 + 518/877*c_0110_6^2 - 5886/877*c_0110_6 - 742/877, c_0101_1 + 2226/877*c_0110_6^8 - 6165/877*c_0110_6^7 + 9670/877*c_0110_6^6 - 7321/877*c_0110_6^5 + 57/877*c_0110_6^4 - 6166/877*c_0110_6^3 - 5512/877*c_0110_6^2 + 5553/877*c_0110_6 + 2041/877, c_0101_2^2 + 815166/435869*c_0110_6^8 - 36291/6139*c_0110_6^7 + 4628331/435869*c_0110_6^6 - 4796420/435869*c_0110_6^5 + 2486338/435869*c_0110_6^4 - 3936181/435869*c_0110_6^3 - 399439/435869*c_0110_6^2 + 1721032/435869*c_0110_6 + 332938/435869, c_0110_6^9 - 4*c_0110_6^8 + 25/3*c_0110_6^7 - 32/3*c_0110_6^6 + 8*c_0110_6^5 - 22/3*c_0110_6^4 + 11/3*c_0110_6^3 + 7/3*c_0110_6^2 - 4/3*c_0110_6 - 1/3 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB