Magma V2.19-8 Wed Aug 21 2013 00:58:45 on localhost [Seed = 4071942530] Type ? for help. Type -D to quit. Loading file "L13n5959__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n5959 geometric_solution 11.45174353 oriented_manifold CS_known 0.0000000000000003 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 1 2 3 0132 3120 0132 0132 0 1 0 0 0 1 0 -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 -3 0 3 0 0 1 -1 3 0 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.575578461786 0.507883233308 0 0 5 4 0132 3120 0132 0132 0 1 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 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.575578461786 0.507883233308 4 6 7 0 0132 0132 0132 0132 0 1 0 1 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 -1 1 0 0 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.318944483850 0.557403894714 8 8 0 9 0132 2310 0132 0132 0 1 1 0 0 -1 1 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 4 -3 -1 0 0 1 -1 0 0 0 0 -3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.381893838974 0.619620167454 2 10 1 7 0132 0132 0132 0132 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2.386336894592 1.124836508113 9 6 9 1 1302 3201 0132 0132 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 0 0 0 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 1.023178291638 0.861935253917 11 2 5 11 0132 0132 2310 2103 0 1 1 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 -1 0 1 0 1 -2 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.473613967037 1.019128790553 11 12 4 2 2103 0132 0132 0132 0 1 1 1 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 1 0 0 -1 -1 -1 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.461508446022 0.615022219397 3 10 10 3 0132 0321 2103 3201 0 1 0 1 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 3 1 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.245660907582 1.193956505954 12 5 3 5 0132 2031 0132 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 0 1 -1 -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 1.023178291638 0.861935253917 8 4 12 8 2103 0132 0132 0321 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 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 0.534130027464 0.430481336077 6 12 7 6 0132 3201 2103 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 0 1 -1 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 0.473613967037 1.019128790553 9 7 11 10 0132 0132 2310 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 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 0.594516852575 0.372502137636 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0011_12']), 'c_1001_10' : d['c_1001_10'], 'c_1001_12' : d['c_1001_12'], 'c_1001_5' : d['c_0011_5'], 'c_1001_4' : negation(d['c_0011_0']), 'c_1001_7' : d['c_1001_10'], 'c_1001_6' : d['c_1001_0'], 'c_1001_1' : negation(d['c_1001_0']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0011_0'], 'c_1001_2' : d['c_1001_12'], 'c_1001_9' : negation(d['c_0101_1']), 'c_1001_8' : d['c_0011_10'], 'c_1010_12' : d['c_1001_10'], 'c_1010_11' : negation(d['c_1001_12']), 'c_1010_10' : negation(d['c_0011_0']), 's_3_11' : d['1'], 's_0_11' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 'c_0101_12' : d['c_0011_12'], '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' : 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_10'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_1100_0'], 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : d['c_1100_0'], 'c_1100_6' : d['c_0011_5'], 'c_1100_1' : d['c_1100_0'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_1100_0'], 's_0_10' : d['1'], 'c_1100_9' : d['c_1100_0'], 'c_1100_11' : negation(d['c_0101_11']), 'c_1100_10' : d['c_0011_10'], 's_3_10' : d['1'], 'c_1010_7' : d['c_1001_12'], 'c_1010_6' : d['c_1001_12'], 'c_1010_5' : negation(d['c_1001_0']), 'c_1010_4' : d['c_1001_10'], 'c_1010_3' : negation(d['c_0101_1']), 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : d['c_0011_0'], 'c_1010_9' : d['c_0011_5'], 'c_1010_8' : negation(d['c_0011_0']), 'c_1100_8' : negation(d['c_0011_3']), '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' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : d['c_0011_10'], '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' : d['1'], 's_1_1' : d['1'], 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_12']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : negation(d['c_0011_12']), 'c_0011_6' : negation(d['c_0011_10']), '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' : d['c_0011_10'], 'c_0110_11' : negation(d['c_0011_5']), 'c_0110_10' : d['c_0011_3'], 'c_0110_12' : d['c_0101_10'], 'c_0101_7' : d['c_0101_11'], 'c_0101_6' : negation(d['c_0011_5']), 'c_0101_5' : d['c_0011_12'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_11'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_10'], 'c_0101_8' : d['c_0101_10'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_12'], 'c_0110_8' : d['c_0101_1'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_10'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_11'], 'c_0110_7' : d['c_0101_11'], 'c_0110_6' : d['c_0101_11'], '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_12, c_0011_3, c_0011_5, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_1001_0, c_1001_10, c_1001_12, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t - 890524902013257/416492484608*c_1100_0^12 - 12295499973123/208246242304*c_1100_0^11 + 2232361411465735/104123121152*c_1100_0^10 - 320042543602515/26030780288*c_1100_0^9 + 21896178575997115/416492484608*c_1100_0^8 - 43149522156995005/208246242304*c_1100_0^7 + 15240145271650193/208246242304*c_1100_0^6 - 16391725166305139/52061560576*c_1100_0^5 + 30187694910520617/52061560576*c_1100_0^4 - 3544287773572533/26030780288*c_1100_0^3 + 442661697684943/565886528*c_1100_0^2 - 13117995323505/1626923768*c_1100_0 + 915664672051075/3253847536, c_0011_0 - 1, c_0011_10 + 3/128*c_1100_0^12 + 1/32*c_1100_0^11 - 15/64*c_1100_0^10 - 11/64*c_1100_0^9 - 47/128*c_1100_0^8 + 101/64*c_1100_0^7 + 125/64*c_1100_0^6 + 33/16*c_1100_0^5 - 3*c_1100_0^4 - 47/8*c_1100_0^3 - 9/2*c_1100_0^2 - 9/2*c_1100_0, c_0011_12 + 7/128*c_1100_0^12 + 3/32*c_1100_0^11 - 33/64*c_1100_0^10 - 37/64*c_1100_0^9 - 119/128*c_1100_0^8 + 211/64*c_1100_0^7 + 345/64*c_1100_0^6 + 91/16*c_1100_0^5 - 11/2*c_1100_0^4 - 57/4*c_1100_0^3 - 51/4*c_1100_0^2 - 12*c_1100_0 - 4, c_0011_3 + 3/256*c_1100_0^12 + 1/128*c_1100_0^11 - 1/8*c_1100_0^10 - 1/64*c_1100_0^9 - 45/256*c_1100_0^8 + 125/128*c_1100_0^7 + 69/128*c_1100_0^6 + 15/16*c_1100_0^5 - 75/32*c_1100_0^4 - 43/16*c_1100_0^3 - 25/8*c_1100_0^2 - 5/2*c_1100_0 + 1/2, c_0011_5 + 3/128*c_1100_0^12 - 1/64*c_1100_0^11 - 9/32*c_1100_0^10 + 11/32*c_1100_0^9 - 13/128*c_1100_0^8 + 131/64*c_1100_0^7 - 117/64*c_1100_0^6 - 23/16*c_1100_0^5 - 23/4*c_1100_0^4 + 13/4*c_1100_0^3 + 31/4*c_1100_0^2 + 4*c_1100_0 + 8, c_0101_0 - 1, c_0101_1 - 1, c_0101_10 + 1/256*c_1100_0^12 + 1/128*c_1100_0^11 - 1/32*c_1100_0^10 - 3/64*c_1100_0^9 - 31/256*c_1100_0^8 + 21/128*c_1100_0^7 + 51/128*c_1100_0^6 + 27/32*c_1100_0^5 + 11/32*c_1100_0^4 - 7/16*c_1100_0^3 - 13/8*c_1100_0^2 - 2*c_1100_0 - 1/2, c_0101_11 + 1/64*c_1100_0^12 + 1/64*c_1100_0^11 - 13/64*c_1100_0^10 - 11/64*c_1100_0^9 + 1/32*c_1100_0^8 + 55/32*c_1100_0^7 + 77/32*c_1100_0^6 + 5/8*c_1100_0^5 - 89/16*c_1100_0^4 - 85/8*c_1100_0^3 - 37/4*c_1100_0^2 - 7*c_1100_0 - 3, c_1001_0 + c_1100_0 - 1, c_1001_10 - 3/128*c_1100_0^12 - 1/64*c_1100_0^11 + 9/32*c_1100_0^10 + 3/32*c_1100_0^9 + 13/128*c_1100_0^8 - 145/64*c_1100_0^7 - 115/64*c_1100_0^6 - 5/8*c_1100_0^5 + 27/4*c_1100_0^4 + 8*c_1100_0^3 + 11/2*c_1100_0^2 + 4*c_1100_0, c_1001_12 + 1/128*c_1100_0^12 + 1/16*c_1100_0^11 - 1/64*c_1100_0^10 - 37/64*c_1100_0^9 - 53/128*c_1100_0^8 - 19/64*c_1100_0^7 + 267/64*c_1100_0^6 + 67/16*c_1100_0^5 + 25/8*c_1100_0^4 - 35/4*c_1100_0^3 - 23/2*c_1100_0^2 - 9*c_1100_0 - 8, c_1100_0^13 + c_1100_0^12 - 10*c_1100_0^11 - 4*c_1100_0^10 - 19*c_1100_0^9 + 73*c_1100_0^8 + 60*c_1100_0^7 + 114*c_1100_0^6 - 128*c_1100_0^5 - 200*c_1100_0^4 - 304*c_1100_0^3 - 352*c_1100_0^2 - 128*c_1100_0 - 128 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.310 Total time: 0.520 seconds, Total memory usage: 32.09MB