Magma V2.19-8 Tue Aug 20 2013 23:29:39 on localhost [Seed = 408845900] Type ? for help. Type -D to quit. Loading file "K11n104__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K11n104 geometric_solution 7.34941600 oriented_manifold CS_known 0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 9 1 2 3 4 0132 0132 0132 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 0 1 -1 10 0 0 -10 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.741992955006 1.423739215957 0 5 7 6 0132 0132 0132 0132 0 0 0 0 0 0 0 0 1 0 -1 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 -10 0 11 -1 0 -11 0 11 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.712136589881 0.552353527159 4 0 3 6 0213 0132 2310 2031 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 0 0 0 10 0 0 -10 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.618756939077 0.743695968681 7 2 5 0 0132 3201 1302 0132 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 1 0 -1 -11 0 11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.373241359556 0.242241120646 2 8 0 5 0213 0132 0132 1302 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 -1 1 0 -10 0 10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.218472764780 0.689069720056 3 1 4 8 2031 0132 2031 1230 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 -1 0 1 -11 11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.621830642488 0.351657155684 8 2 1 7 3120 1302 0132 2031 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 1 -1 0 0 0 0 1 10 -11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.837489856884 0.466208556213 3 6 8 1 0132 1302 3120 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 -1 0 11 0 0 -11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.039274127186 1.146251803489 5 4 7 6 3012 0132 3120 3120 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.263010592793 0.437342390109 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_5' : d['c_0110_2'], 'c_1001_4' : negation(d['c_0011_6']), 'c_1001_7' : d['c_0110_6'], 'c_1001_6' : d['c_0110_2'], 'c_1001_1' : d['c_0101_8'], 'c_1001_0' : d['c_0011_6'], 'c_1001_3' : negation(d['c_0011_4']), 'c_1001_2' : negation(d['c_0011_6']), 'c_1001_8' : negation(d['c_0110_6']), 's_2_8' : negation(d['1']), 's_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : negation(d['1']), 's_0_8' : d['1'], 's_0_6' : d['1'], 's_0_7' : 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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_8' : negation(d['c_0101_0']), 'c_1100_5' : d['c_0110_6'], 'c_1100_4' : d['c_0101_5'], 'c_1100_7' : negation(d['c_0101_8']), 'c_1100_6' : negation(d['c_0101_8']), 'c_1100_1' : negation(d['c_0101_8']), 'c_1100_0' : d['c_0101_5'], 'c_1100_3' : d['c_0101_5'], 'c_1100_2' : d['c_0011_3'], 'c_1010_7' : d['c_0101_8'], 'c_1010_6' : negation(d['c_0011_3']), 'c_1010_5' : d['c_0101_8'], 'c_1010_4' : negation(d['c_0110_6']), 'c_1010_3' : d['c_0011_6'], 'c_1010_2' : d['c_0011_6'], 'c_1010_1' : d['c_0110_2'], 'c_1010_0' : negation(d['c_0011_6']), 'c_1010_8' : negation(d['c_0011_6']), 's_3_1' : d['1'], 's_3_0' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_7' : negation(d['1']), 's_3_6' : d['1'], 's_3_8' : d['1'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : negation(d['1']), 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : d['1'], 's_1_0' : d['1'], 's_1_8' : negation(d['1']), 'c_0011_8' : negation(d['c_0011_4']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_3']), 'c_0011_6' : d['c_0011_6'], '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_0101_7' : d['c_0101_0'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_0']), 'c_0101_3' : negation(d['c_0011_0']), 'c_0101_2' : d['c_0011_4'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0101_8' : d['c_0101_8'], 'c_0110_8' : d['c_0110_6'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_0']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0110_2'], 'c_0110_5' : negation(d['c_0011_4']), 'c_0110_4' : negation(d['c_0110_2']), 'c_0110_7' : negation(d['c_0011_0']), 'c_0110_6' : d['c_0110_6']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 10 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_4, c_0011_6, c_0101_0, c_0101_5, c_0101_8, c_0110_2, c_0110_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 1747432/21395*c_0110_6^7 + 2556864/21395*c_0110_6^6 + 2564876/21395*c_0110_6^5 + 1007688/1945*c_0110_6^4 - 2242766/4279*c_0110_6^3 + 226078/4279*c_0110_6^2 - 244686/1945*c_0110_6 + 559036/21395, c_0011_0 - 1, c_0011_3 - 956/4279*c_0110_6^7 - 2006/4279*c_0110_6^6 - 1530/4279*c_0110_6^5 - 614/389*c_0110_6^4 + 1168/4279*c_0110_6^3 + 4846/4279*c_0110_6^2 - 634/389*c_0110_6 + 551/4279, c_0011_4 + c_0110_6, c_0011_6 - 1712/4279*c_0110_6^7 - 1050/4279*c_0110_6^6 - 1236/4279*c_0110_6^5 - 914/389*c_0110_6^4 + 18026/4279*c_0110_6^3 - 16960/4279*c_0110_6^2 + 725/389*c_0110_6 - 3901/4279, c_0101_0 + 1234/4279*c_0110_6^7 + 4326/4279*c_0110_6^6 + 4750/4279*c_0110_6^5 + 996/389*c_0110_6^4 + 8232/4279*c_0110_6^3 - 19128/4279*c_0110_6^2 + 514/389*c_0110_6 - 2242/4279, c_0101_5 + 2814/4279*c_0110_6^7 + 1196/4279*c_0110_6^6 + 332/4279*c_0110_6^5 + 1376/389*c_0110_6^4 - 34698/4279*c_0110_6^3 + 23638/4279*c_0110_6^2 - 585/389*c_0110_6 + 2308/4279, c_0101_8 + 1712/4279*c_0110_6^7 + 1050/4279*c_0110_6^6 + 1236/4279*c_0110_6^5 + 914/389*c_0110_6^4 - 18026/4279*c_0110_6^3 + 16960/4279*c_0110_6^2 - 725/389*c_0110_6 + 3901/4279, c_0110_2 + 2814/4279*c_0110_6^7 + 1196/4279*c_0110_6^6 + 332/4279*c_0110_6^5 + 1376/389*c_0110_6^4 - 34698/4279*c_0110_6^3 + 23638/4279*c_0110_6^2 - 585/389*c_0110_6 + 2308/4279, c_0110_6^8 + c_0110_6^7 + c_0110_6^6 + 6*c_0110_6^5 - 9*c_0110_6^4 + 5*c_0110_6^3 - 3*c_0110_6^2 + c_0110_6 - 1/2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.230 seconds, Total memory usage: 32.09MB