Magma V2.19-8 Tue Aug 20 2013 23:55:42 on localhost [Seed = 2446850526] Type ? for help. Type -D to quit. Loading file "L14n12589__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n12589 geometric_solution 11.65211623 oriented_manifold CS_known -0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 1 1 0 1 0 0 0 0 0 0 0 0 -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 -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 0.500000000000 0.677906594459 0 5 7 6 0132 0132 0132 0132 0 1 1 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 0 0 0 0 0 0 0 1 0 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.622189169528 1.196469530453 6 0 9 8 3012 0132 0132 0132 1 0 1 0 0 0 0 0 1 0 0 -1 0 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 0 -1 -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 0.387463945271 0.790442649189 7 5 10 0 0132 1230 0132 0132 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 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 0.425719639074 0.818658699981 10 5 0 9 0132 1302 0132 3012 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 -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 0.760010453125 0.760010453125 11 1 3 4 0132 0132 3012 2031 0 1 0 1 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 0.387463945271 0.790442649189 11 7 1 2 1230 2103 0132 1230 0 1 0 1 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 -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 0.239989546875 0.760010453125 3 6 8 1 0132 2103 1302 0132 0 1 0 1 0 -1 1 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 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 -0.132556960980 0.877649976690 7 11 2 10 2031 1302 0132 1302 1 0 1 1 0 0 0 0 -1 0 1 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 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.500000000000 0.961499805084 10 11 4 2 1230 1230 1230 0132 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 0 0 0 0 0 0 0 0 1 0 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 0.377810830472 1.196469530453 4 9 8 3 0132 3012 2031 0132 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 1 -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 1.132556960980 0.877649976690 5 6 9 8 0132 3012 3012 2031 1 1 1 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 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 0.500000000000 0.677906594459 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0011_6']), 'c_1001_10' : negation(d['c_0011_6']), 'c_1001_5' : negation(d['c_0011_3']), 'c_1001_4' : d['c_0101_11'], 'c_1001_7' : d['c_0011_6'], 'c_1001_6' : negation(d['c_0011_3']), 'c_1001_1' : negation(d['c_0011_10']), 'c_1001_0' : d['c_0101_5'], 'c_1001_3' : negation(d['c_0101_9']), 'c_1001_2' : d['c_0101_11'], 'c_1001_9' : d['c_1001_9'], 'c_1001_8' : d['c_0101_5'], 'c_1010_11' : d['c_0011_8'], 'c_1010_10' : negation(d['c_0101_9']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : negation(d['1']), 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0101_10'], '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' : negation(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' : negation(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_0011_11' : negation(d['c_0011_0']), 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_0101_9'], 'c_1100_4' : negation(d['c_1001_9']), 'c_1100_7' : d['c_0101_8'], 'c_1100_6' : d['c_0101_8'], 'c_1100_1' : d['c_0101_8'], 'c_1100_0' : negation(d['c_1001_9']), 'c_1100_3' : negation(d['c_1001_9']), 'c_1100_2' : d['c_0101_10'], 's_3_11' : negation(d['1']), 'c_1100_11' : negation(d['c_1001_9']), 'c_1100_10' : negation(d['c_1001_9']), 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0011_10']), 'c_1010_6' : d['c_0011_10'], 'c_1010_5' : negation(d['c_0011_10']), 'c_1010_4' : negation(d['c_0101_9']), 'c_1010_3' : d['c_0101_5'], 'c_1010_2' : d['c_0101_5'], 'c_1010_1' : negation(d['c_0011_3']), 'c_1010_0' : d['c_0101_11'], 'c_1010_9' : d['c_0101_11'], 'c_1010_8' : d['c_1001_9'], 'c_1100_8' : d['c_0101_10'], 's_3_1' : negation(d['1']), 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : negation(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' : 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_1_9' : d['1'], 's_1_8' : negation(d['1']), 'c_0011_9' : d['c_0011_6'], 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), '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_0110_11' : d['c_0101_5'], 'c_0110_10' : d['c_0101_1'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : negation(d['c_0011_8']), 'c_0101_6' : negation(d['c_0011_8']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0011_10'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_8']), 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : d['c_0101_8'], 's_1_11' : negation(d['1']), 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_10'], 'c_0110_8' : d['c_0011_6'], 'c_0110_1' : negation(d['c_0011_8']), 'c_1100_9' : d['c_0101_10'], 'c_0110_3' : negation(d['c_0011_8']), 'c_0110_2' : d['c_0101_8'], 'c_0110_5' : d['c_0101_11'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : negation(d['c_0011_0'])})} 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_3, c_0011_6, c_0011_8, c_0101_1, c_0101_10, c_0101_11, c_0101_5, c_0101_8, c_0101_9, c_1001_9 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 165593/472*c_1001_9^7 + 8534807/13688*c_1001_9^6 + 1386443/3422*c_1001_9^5 + 2183983/6844*c_1001_9^4 + 4602025/6844*c_1001_9^3 + 2290141/3422*c_1001_9^2 + 2245137/13688*c_1001_9 - 1368461/13688, c_0011_0 - 1, c_0011_10 - 4321/7552*c_1001_9^7 + 1549/7552*c_1001_9^6 - 109/1888*c_1001_9^5 - 3715/3776*c_1001_9^4 - 1537/3776*c_1001_9^3 - 351/1888*c_1001_9^2 - 2669/7552*c_1001_9 - 5767/7552, c_0011_3 + 435/7552*c_1001_9^7 + 2797/7552*c_1001_9^6 + 87/1888*c_1001_9^5 + 2445/3776*c_1001_9^4 - 13/3776*c_1001_9^3 + 1409/1888*c_1001_9^2 + 3503/7552*c_1001_9 + 1617/7552, c_0011_6 + 957/3776*c_1001_9^7 - 911/3776*c_1001_9^6 - 493/944*c_1001_9^5 - 1303/1888*c_1001_9^4 - 159/1888*c_1001_9^3 - 725/944*c_1001_9^2 - 2347/3776*c_1001_9 - 2799/3776, c_0011_8 + 1, c_0101_1 - 957/3776*c_1001_9^7 + 911/3776*c_1001_9^6 + 493/944*c_1001_9^5 + 1303/1888*c_1001_9^4 + 159/1888*c_1001_9^3 + 725/944*c_1001_9^2 + 2347/3776*c_1001_9 + 2799/3776, c_0101_10 - 4031/7552*c_1001_9^7 - 2657/7552*c_1001_9^6 + 657/1888*c_1001_9^5 - 4293/3776*c_1001_9^4 - 4123/3776*c_1001_9^3 - 201/1888*c_1001_9^2 + 1869/7552*c_1001_9 - 6669/7552, c_0101_11 - 3219/3776*c_1001_9^7 - 1465/3776*c_1001_9^6 - 219/944*c_1001_9^5 - 1885/1888*c_1001_9^4 - 3343/1888*c_1001_9^3 - 529/944*c_1001_9^2 - 3455/3776*c_1001_9 - 3117/3776, c_0101_5 + 1479/944*c_1001_9^7 + 1819/944*c_1001_9^6 + 225/236*c_1001_9^5 + 899/472*c_1001_9^4 + 1703/472*c_1001_9^3 + 293/236*c_1001_9^2 + 1007/944*c_1001_9 + 1347/944, c_0101_8 - 435/7552*c_1001_9^7 - 2797/7552*c_1001_9^6 - 87/1888*c_1001_9^5 - 2445/3776*c_1001_9^4 + 13/3776*c_1001_9^3 - 1409/1888*c_1001_9^2 - 3503/7552*c_1001_9 - 1617/7552, c_0101_9 + 4031/7552*c_1001_9^7 + 2657/7552*c_1001_9^6 - 657/1888*c_1001_9^5 + 4293/3776*c_1001_9^4 + 4123/3776*c_1001_9^3 + 201/1888*c_1001_9^2 - 1869/7552*c_1001_9 + 6669/7552, c_1001_9^8 + 26/29*c_1001_9^7 + 5/29*c_1001_9^6 + 34/29*c_1001_9^5 + 68/29*c_1001_9^4 + 34/29*c_1001_9^3 + 5/29*c_1001_9^2 + 26/29*c_1001_9 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.110 Total time: 0.320 seconds, Total memory usage: 32.09MB