Magma V2.19-8 Wed Aug 21 2013 00:58:14 on localhost [Seed = 1443908807] Type ? for help. Type -D to quit. Loading file "L13n4850__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n4850 geometric_solution 12.57952659 oriented_manifold CS_known -0.0000000000000005 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 2 3 0132 0132 0321 0132 0 1 1 1 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 -3 0 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.159914257512 0.875181303161 0 4 6 5 0132 0132 0132 0132 1 1 1 1 0 0 -1 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 0 3 -3 3 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.332368403252 0.828130754879 7 0 0 8 0132 0132 0321 0132 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 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 0.159914257512 0.875181303161 9 5 0 5 0132 2031 0132 2103 0 1 1 1 0 0 0 0 -1 0 1 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 1 -1 2 0 -2 0 -2 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.599370768218 0.839518892871 7 1 10 8 1023 0132 0132 3120 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 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.089302872171 1.049536006803 3 11 1 3 1302 0132 0132 2103 1 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 0 0 0 -1 3 -2 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 0.436701350361 0.788993864526 10 12 9 1 0321 0132 3120 0132 1 1 1 1 0 -1 0 1 1 0 0 -1 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 3 0 -3 -3 0 0 3 0 0 0 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.300733961462 1.632234477036 2 4 10 9 0132 1023 3120 0321 1 1 1 1 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 0 0 0 0 0 0 0 3 -3 0 0 -2 2 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.909108656977 0.990078519112 4 11 2 11 3120 3201 0132 3120 0 1 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 -1 -1 2 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 0.674415417415 1.327487228024 3 7 6 12 0132 0321 3120 0213 1 1 1 1 0 -1 0 1 1 0 0 -1 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 3 0 -3 -2 0 0 2 0 0 0 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.004955338364 1.204385990500 6 12 7 4 0321 3012 3120 0132 1 1 1 1 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 -2 0 2 0 0 0 0 0 3 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.477272762685 0.816964607208 8 5 8 12 3120 0132 2310 3012 1 1 1 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 1 -1 0 0 0 0 0 0 0 0 0 -2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.674415417415 1.327487228024 10 6 11 9 1230 0132 1230 0213 1 1 1 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 -3 0 3 0 0 0 0 0 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.574463249440 0.911227229400 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_11'], 'c_1001_10' : negation(d['c_0011_12']), 'c_1001_12' : negation(d['c_0011_8']), 'c_1001_5' : negation(d['c_0101_12']), 'c_1001_4' : negation(d['c_0101_12']), 'c_1001_7' : d['c_0011_12'], 'c_1001_6' : d['c_0101_10'], 'c_1001_1' : negation(d['c_0011_8']), 'c_1001_0' : negation(d['c_0101_11']), 'c_1001_3' : negation(d['c_0110_5']), 'c_1001_2' : negation(d['c_0110_5']), 'c_1001_9' : negation(d['c_0101_10']), 'c_1001_8' : negation(d['c_0101_11']), 'c_1010_12' : d['c_0101_10'], 'c_1010_11' : negation(d['c_0101_12']), 'c_1010_10' : negation(d['c_0101_12']), 's_3_11' : d['1'], 's_3_10' : negation(d['1']), 's_0_12' : negation(d['1']), 's_3_12' : d['1'], 's_2_8' : d['1'], 'c_0101_12' : d['c_0101_12'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0101_10'], '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' : d['1'], 's_2_12' : 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' : 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_0011_11' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0101_9']), 'c_1100_4' : negation(d['c_0101_7']), 'c_1100_7' : negation(d['c_0101_10']), 'c_1100_6' : negation(d['c_0101_9']), 'c_1100_1' : negation(d['c_0101_9']), 'c_1100_0' : negation(d['c_0110_5']), 'c_1100_3' : negation(d['c_0110_5']), 'c_1100_2' : negation(d['c_0101_11']), 's_0_10' : d['1'], 'c_1100_9' : d['c_0101_10'], 'c_1100_11' : d['c_0011_8'], 'c_1100_10' : negation(d['c_0101_7']), 's_0_11' : d['1'], 'c_1010_7' : d['c_0110_11'], 'c_1010_6' : negation(d['c_0011_8']), 'c_1010_5' : d['c_0011_11'], 'c_1010_4' : negation(d['c_0011_8']), 'c_1010_3' : negation(d['c_0011_11']), 'c_1010_2' : negation(d['c_0101_11']), 'c_1010_1' : negation(d['c_0101_12']), 'c_1010_0' : negation(d['c_0110_5']), 'c_1010_9' : d['c_0110_11'], 'c_1010_8' : negation(d['c_0011_11']), 'c_1100_8' : negation(d['c_0101_11']), 's_3_1' : 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' : negation(d['1']), 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : d['c_0110_11'], 's_1_7' : d['1'], 's_1_6' : negation(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' : negation(d['c_0011_3']), 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : negation(d['c_0011_11']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : negation(d['c_0011_12']), '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_0110_11'], 'c_0110_10' : d['c_0011_12'], 'c_0110_12' : d['c_0011_10'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : negation(d['c_0101_10']), 'c_0101_5' : negation(d['c_0011_3']), 'c_0101_4' : d['c_0011_12'], 'c_0101_3' : negation(d['c_0011_10']), 'c_0101_2' : d['c_0011_3'], 'c_0101_1' : negation(d['c_0011_10']), 'c_0101_0' : negation(d['c_0011_3']), 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : d['c_0101_7'], 's_1_12' : negation(d['1']), 's_1_11' : d['1'], 's_1_10' : negation(d['1']), 'c_0110_9' : negation(d['c_0011_10']), 'c_0110_8' : d['c_0110_11'], 'c_0110_1' : negation(d['c_0011_3']), 'c_0110_0' : negation(d['c_0011_10']), 'c_0110_3' : d['c_0101_9'], 'c_0110_2' : d['c_0101_7'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0110_11'], 'c_0110_7' : d['c_0011_3'], 'c_0110_6' : negation(d['c_0011_10']), 's_2_9' : d['1']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_12, c_0011_3, c_0011_8, c_0101_10, c_0101_11, c_0101_12, c_0101_7, c_0101_9, c_0110_11, c_0110_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 106520686373/309555103*c_0110_5^11 - 60047222662/309555103*c_0110_5^10 + 5888356815/28141373*c_0110_5^9 + 879713157009/309555103*c_0110_5^8 - 676006440840/309555103*c_0110_5^7 + 749615326727/309555103*c_0110_5^6 - 1455812999/28141373*c_0110_5^5 + 464423955894/309555103*c_0110_5^4 - 992182331315/309555103*c_0110_5^3 - 14796406749/23811931*c_0110_5^2 - 51402275499/309555103*c_0110_5 + 245067714153/309555103, c_0011_0 - 1, c_0011_10 + 238247/320225*c_0110_5^11 - 166332/320225*c_0110_5^10 - 63481/64045*c_0110_5^9 - 1673146/320225*c_0110_5^8 + 3927143/320225*c_0110_5^7 - 3644403/320225*c_0110_5^6 + 1330931/320225*c_0110_5^5 + 673876/320225*c_0110_5^4 + 1374058/320225*c_0110_5^3 - 1171964/320225*c_0110_5^2 - 653238/320225*c_0110_5 + 293862/320225, c_0011_11 - 6022/12809*c_0110_5^11 + 5622/12809*c_0110_5^10 + 6074/12809*c_0110_5^9 + 44122/12809*c_0110_5^8 - 106357/12809*c_0110_5^7 + 121413/12809*c_0110_5^6 - 93394/12809*c_0110_5^5 + 26865/12809*c_0110_5^4 - 66192/12809*c_0110_5^3 + 31165/12809*c_0110_5^2 - 4070/12809*c_0110_5 + 17518/12809, c_0011_12 + 32831/320225*c_0110_5^11 - 24886/320225*c_0110_5^10 - 12793/64045*c_0110_5^9 - 171558/320225*c_0110_5^8 + 572714/320225*c_0110_5^7 - 395269/320225*c_0110_5^6 - 436812/320225*c_0110_5^5 + 895398/320225*c_0110_5^4 - 727016/320225*c_0110_5^3 + 153528/320225*c_0110_5^2 - 295424/320225*c_0110_5 + 324201/320225, c_0011_3 + 293862/320225*c_0110_5^11 - 238247/320225*c_0110_5^10 - 25506/64045*c_0110_5^9 - 2033491/320225*c_0110_5^8 + 4905628/320225*c_0110_5^7 - 6865763/320225*c_0110_5^6 + 4819851/320225*c_0110_5^5 - 2506379/320225*c_0110_5^4 + 2852468/320225*c_0110_5^3 - 2255644/320225*c_0110_5^2 + 878102/320225*c_0110_5 + 91877/320225, c_0011_8 - 175413/320225*c_0110_5^11 - 150997/320225*c_0110_5^10 + 67394/64045*c_0110_5^9 + 1440209/320225*c_0110_5^8 - 914272/320225*c_0110_5^7 - 999713/320225*c_0110_5^6 + 3481276/320225*c_0110_5^5 - 2614729/320225*c_0110_5^4 - 700707/320225*c_0110_5^3 - 738969/320225*c_0110_5^2 + 1658277/320225*c_0110_5 - 198898/320225, c_0101_10 - 39267/64045*c_0110_5^11 + 42657/64045*c_0110_5^10 + 5972/12809*c_0110_5^9 + 273561/64045*c_0110_5^8 - 740418/64045*c_0110_5^7 + 925358/64045*c_0110_5^6 - 724431/64045*c_0110_5^5 + 270269/64045*c_0110_5^4 - 371518/64045*c_0110_5^3 + 329894/64045*c_0110_5^2 + 5673/64045*c_0110_5 - 1802/64045, c_0101_11 + 1, c_0101_12 + 455423/320225*c_0110_5^11 + 145362/320225*c_0110_5^10 - 108114/64045*c_0110_5^9 - 3661439/320225*c_0110_5^8 + 3967412/320225*c_0110_5^7 - 2453927/320225*c_0110_5^6 - 1566496/320225*c_0110_5^5 + 754659/320225*c_0110_5^4 + 3962672/320225*c_0110_5^3 - 147876/320225*c_0110_5^2 - 1116092/320225*c_0110_5 - 377317/320225, c_0101_7 - 228348/320225*c_0110_5^11 - 293862/320225*c_0110_5^10 + 93319/64045*c_0110_5^9 + 1954314/320225*c_0110_5^8 - 478337/320225*c_0110_5^7 - 2622148/320225*c_0110_5^6 + 5952371/320225*c_0110_5^5 - 3906459/320225*c_0110_5^4 - 233797/320225*c_0110_5^3 - 2167424/320225*c_0110_5^2 + 2483992/320225*c_0110_5 - 193058/320225, c_0101_9 - 9842/12809*c_0110_5^11 + 17539/12809*c_0110_5^10 - 253/12809*c_0110_5^9 + 61254/12809*c_0110_5^8 - 232819/12809*c_0110_5^7 + 367338/12809*c_0110_5^6 - 329224/12809*c_0110_5^5 + 172975/12809*c_0110_5^4 - 133241/12809*c_0110_5^3 + 151075/12809*c_0110_5^2 - 85318/12809*c_0110_5 + 11763/12809, c_0110_11 - 210539/320225*c_0110_5^11 + 198809/320225*c_0110_5^10 + 49842/64045*c_0110_5^9 + 1513552/320225*c_0110_5^8 - 3833341/320225*c_0110_5^7 + 3944386/320225*c_0110_5^6 - 2707397/320225*c_0110_5^5 + 747788/320225*c_0110_5^4 - 2112721/320225*c_0110_5^3 + 1418268/320225*c_0110_5^2 + 248906/320225*c_0110_5 + 101906/320225, c_0110_5^12 - c_0110_5^10 - 8*c_0110_5^9 + 11*c_0110_5^8 - 10*c_0110_5^7 + 4*c_0110_5^6 - 4*c_0110_5^5 + 12*c_0110_5^4 - 3*c_0110_5^3 - c_0110_5^2 - 3*c_0110_5 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 1.110 Total time: 1.330 seconds, Total memory usage: 32.09MB