Magma V2.19-8 Tue Aug 20 2013 23:49:16 on localhost [Seed = 3549804881] Type ? for help. Type -D to quit. Loading file "L12n1591__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n1591 geometric_solution 10.74025767 oriented_manifold CS_known 0.0000000000000000 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 2 3 0132 0132 1302 0132 2 1 1 0 0 0 0 0 1 0 -1 0 0 1 0 -1 -1 -1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 -3 0 4 -1 0 -4 0 4 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.610794263929 0.616826010253 0 4 5 4 0132 0132 0132 1230 2 1 0 1 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 3 0 0 -3 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.731651023225 1.159544528068 0 0 5 4 2031 0132 0321 0132 2 2 0 1 0 0 1 -1 0 0 0 0 -2 1 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -5 4 0 0 0 0 1 0 0 -1 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.189437781290 0.818566723617 5 6 0 7 0132 0132 0132 0132 2 1 2 1 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 -1 1 0 0 1 -1 0 0 0 0 4 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.647205178645 1.016863591394 1 1 2 6 3012 0132 0132 1023 2 2 1 0 0 0 1 -1 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 -4 4 0 0 0 0 3 0 0 -3 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.189437781290 0.818566723617 3 8 2 1 0132 0132 0321 0132 2 1 1 2 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 -5 5 0 0 0 0 0 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.228993221934 0.480144442696 9 3 8 4 0132 0132 2031 1023 2 2 1 2 0 0 0 0 -1 0 0 1 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 4 0 0 -4 -3 0 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.086051788997 0.731322499867 10 8 3 9 0132 2031 0132 2031 2 1 1 2 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 -1 0 1 0 0 -4 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.735798282170 0.364560536578 7 5 11 6 1302 0132 0132 1302 2 2 2 1 0 -1 1 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 5 -5 0 0 0 0 0 0 0 0 0 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.312037939788 0.560818640379 6 7 11 10 0132 1302 3012 1023 1 2 2 1 0 0 0 0 1 0 -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 -4 0 4 0 0 -1 0 1 3 -4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.383022821524 0.842149455744 7 11 11 9 0132 0213 1302 1023 2 1 2 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 1 -1 0 1 0 -1 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 1.134837556903 0.774929654479 10 9 10 8 2031 1230 0213 0132 2 2 1 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 0 0 0 0 0 -4 -1 5 1 0 -1 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 -0.217937903743 1.252518573644 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_10'], 'c_1001_10' : d['c_0011_10'], 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : d['c_0101_4'], 'c_1001_7' : negation(d['c_0110_8']), 'c_1001_6' : negation(d['c_0110_8']), 'c_1001_1' : d['c_0101_9'], 'c_1001_0' : d['c_0101_4'], 'c_1001_3' : d['c_0110_4'], 'c_1001_2' : d['c_0110_4'], 'c_1001_9' : negation(d['c_0011_11']), 'c_1001_8' : d['c_0101_9'], 'c_1010_11' : d['c_0101_9'], 'c_1010_10' : d['c_0101_6'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0011_10'], 'c_0101_10' : negation(d['c_0011_11']), '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_2_7' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : d['1'], 's_0_4' : negation(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_9' : negation(d['c_0011_10']), 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_0110_4'], 'c_1100_4' : d['c_1001_5'], 'c_1100_7' : d['c_0101_2'], 'c_1100_6' : negation(d['c_1001_5']), 'c_1100_1' : d['c_0110_4'], 'c_1100_0' : d['c_0101_2'], 'c_1100_3' : d['c_0101_2'], 'c_1100_2' : d['c_1001_5'], 's_3_11' : d['1'], 'c_1100_11' : d['c_0101_6'], 'c_1100_10' : d['c_0011_10'], 's_0_11' : d['1'], 'c_1010_7' : d['c_0011_3'], 'c_1010_6' : d['c_0110_4'], 'c_1010_5' : d['c_0101_9'], 'c_1010_4' : d['c_0101_9'], 'c_1010_3' : negation(d['c_0110_8']), 'c_1010_2' : d['c_0101_4'], 'c_1010_1' : d['c_0101_4'], 'c_1010_0' : d['c_0110_4'], 'c_1010_9' : negation(d['c_0101_2']), 'c_1010_8' : d['c_1001_5'], 'c_1100_8' : d['c_0101_6'], 's_3_1' : negation(d['1']), 's_3_0' : 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' : d['1'], 's_3_6' : d['1'], 's_3_9' : 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' : negation(d['1']), 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_3'], 'c_0011_8' : d['c_0011_3'], 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_10']), '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_0110_11' : d['c_0011_10'], 'c_0110_10' : negation(d['c_0101_2']), 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : negation(d['c_0101_2']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0101_2']), 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : d['c_0011_10'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_6'], 'c_0110_8' : d['c_0110_8'], 'c_0110_1' : d['c_0011_0'], 'c_0011_11' : d['c_0011_11'], 'c_0110_3' : negation(d['c_0101_2']), 'c_0110_2' : d['c_0101_4'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0110_4'], 'c_0110_7' : negation(d['c_0011_11']), 'c_0110_6' : d['c_0101_9']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_3, c_0101_1, c_0101_2, c_0101_4, c_0101_6, c_0101_9, c_0110_4, c_0110_8, c_1001_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 34321828/1049841*c_0110_8^5 + 46644967/699894*c_0110_8^4 + 38861105/1049841*c_0110_8^3 + 32784325/1049841*c_0110_8^2 + 171950767/2099682*c_0110_8 + 109669471/2099682, c_0011_0 - 1, c_0011_10 - 2416/997*c_0110_8^5 - 4302/997*c_0110_8^4 - 1815/997*c_0110_8^3 - 2778/997*c_0110_8^2 - 5858/997*c_0110_8 - 2914/997, c_0011_11 + 800/997*c_0110_8^5 + 2164/997*c_0110_8^4 + 1116/997*c_0110_8^3 + 253/997*c_0110_8^2 + 2600/997*c_0110_8 + 1711/997, c_0011_3 - 1552/997*c_0110_8^5 - 2922/997*c_0110_8^4 - 1846/997*c_0110_8^3 - 1428/997*c_0110_8^2 - 4047/997*c_0110_8 - 3100/997, c_0101_1 - 1, c_0101_2 + 1552/997*c_0110_8^5 + 2922/997*c_0110_8^4 + 1846/997*c_0110_8^3 + 1428/997*c_0110_8^2 + 3050/997*c_0110_8 + 2103/997, c_0101_4 - 1, c_0101_6 - 800/997*c_0110_8^5 - 2164/997*c_0110_8^4 - 1116/997*c_0110_8^3 - 253/997*c_0110_8^2 - 2600/997*c_0110_8 - 1711/997, c_0101_9 + 1552/997*c_0110_8^5 + 2922/997*c_0110_8^4 + 1846/997*c_0110_8^3 + 1428/997*c_0110_8^2 + 3050/997*c_0110_8 + 2103/997, c_0110_4 + 1552/997*c_0110_8^5 + 2922/997*c_0110_8^4 + 1846/997*c_0110_8^3 + 1428/997*c_0110_8^2 + 3050/997*c_0110_8 + 1106/997, c_0110_8^6 + 21/8*c_0110_8^5 + 19/8*c_0110_8^4 + 7/4*c_0110_8^3 + 25/8*c_0110_8^2 + 25/8*c_0110_8 + 9/8, c_1001_5 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.230 seconds, Total memory usage: 32.09MB