Magma V2.19-8 Wed Aug 21 2013 01:09:48 on localhost [Seed = 2117625838] Type ? for help. Type -D to quit. Loading file "L14n48448__sl2_c5.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n48448 geometric_solution 12.28706279 oriented_manifold CS_known -0.0000000000000006 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 1 1 1 2 0 0 1 -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 0 0 0 0 0 3 -3 0 0 -1 1 -3 3 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.362027589296 0.631774076367 0 5 3 6 0132 0132 2310 0132 2 1 2 1 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 -2 2 0 0 0 0 0 -1 1 0 0 3 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.118340209582 1.348210534585 7 0 9 8 0132 0132 0132 0132 1 2 2 1 0 0 0 0 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 0 0 0 1 0 0 -1 0 0 0 0 4 -3 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.611466204535 0.616104258862 8 1 9 0 3012 3201 3012 0132 1 1 2 1 0 1 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 0 0 0 0 3 0 -3 -1 0 0 1 1 -2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.362027589296 0.631774076367 9 8 0 5 0213 0132 0132 2103 1 1 2 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 -4 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 0.428913522729 0.892914440540 6 1 10 4 3120 0132 0132 2103 2 1 1 2 0 1 -1 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 2 -2 0 0 0 0 0 -4 0 0 4 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.158594954471 0.845785690604 9 7 1 5 2031 3120 0132 3120 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 0 0 0 0 0 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 0.158594954471 0.845785690604 2 6 11 10 0132 3120 0132 3012 2 2 1 2 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 -1 0 -1 2 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.222932409070 1.232208517724 10 4 2 3 0213 0132 0132 1230 1 2 1 2 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 -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 0.732332381909 1.161271180687 4 3 6 2 0213 1230 1302 0132 1 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 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 0.508339145496 0.794806709264 8 12 7 5 0213 0132 1230 0132 2 1 2 2 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 -2 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 0.366166190954 0.580635590344 12 12 12 7 0321 3201 2031 0132 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 -2 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.142172954541 0.785828881079 11 10 11 11 0321 0132 2310 1302 2 0 2 2 0 0 0 0 -1 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 0 0 0 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 1.222932409070 1.232208517724 ==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' : d['c_1001_10'], 'c_1001_12' : d['c_1001_12'], 'c_1001_5' : d['c_1001_12'], 'c_1001_4' : d['c_0101_3'], 'c_1001_7' : negation(d['c_1001_12']), 'c_1001_6' : d['c_1001_12'], 'c_1001_1' : negation(d['c_1001_0']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0011_9']), 'c_1001_2' : d['c_0101_3'], 'c_1001_9' : d['c_0110_5'], 'c_1001_8' : d['c_1001_0'], 'c_1010_12' : d['c_1001_10'], 'c_1010_11' : negation(d['c_1001_12']), 'c_1010_10' : d['c_1001_12'], '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' : negation(d['c_0011_11']), 'c_0101_11' : d['c_0011_11'], 'c_0101_10' : negation(d['c_0011_4']), 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : negation(d['1']), 's_2_3' : d['1'], 's_2_4' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : negation(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' : negation(d['1']), 's_0_6' : d['1'], 's_0_7' : negation(d['1']), 's_0_4' : negation(d['1']), 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_0011_11' : d['c_0011_11'], 'c_1100_8' : d['c_0101_0'], 'c_0011_12' : negation(d['c_0011_10']), 'c_1100_5' : d['c_0101_2'], 'c_1100_4' : negation(d['c_0110_5']), 'c_1100_7' : negation(d['c_1001_10']), 'c_1100_6' : d['c_0011_3'], 'c_1100_1' : d['c_0011_3'], 'c_1100_0' : negation(d['c_0110_5']), 'c_1100_3' : negation(d['c_0110_5']), 'c_1100_2' : d['c_0101_0'], 's_0_10' : d['1'], 'c_1100_9' : d['c_0101_0'], 'c_1100_11' : negation(d['c_1001_10']), 'c_1100_10' : d['c_0101_2'], 's_3_10' : d['1'], 'c_1010_7' : d['c_0011_4'], 'c_1010_6' : negation(d['c_0011_0']), 'c_1010_5' : negation(d['c_1001_0']), 'c_1010_4' : d['c_1001_0'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_12'], 'c_1010_0' : d['c_0101_3'], 'c_1010_9' : d['c_0101_3'], 'c_1010_8' : d['c_0101_3'], 's_3_1' : negation(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' : d['1'], 's_3_6' : d['1'], 's_3_9' : negation(d['1']), 's_3_8' : d['1'], 'c_1100_12' : d['c_0011_11'], 's_1_7' : negation(d['1']), 's_1_6' : negation(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' : d['c_0011_9'], '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' : d['c_0011_0'], 'c_0011_6' : negation(d['c_0011_4']), '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_0011_3']), 'c_0110_12' : negation(d['c_0011_11']), 'c_0101_7' : d['c_0011_10'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0011_3']), 'c_0101_4' : d['c_0011_9'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0011_9'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_4'], 'c_0101_8' : d['c_0011_10'], 'c_0011_10' : d['c_0011_10'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_2'], 'c_0110_8' : d['c_0011_3'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_9'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0011_10'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : negation(d['c_0101_2']), 'c_0110_7' : d['c_0101_2'], 'c_0110_6' : d['c_0110_5'], '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_3, c_0011_4, c_0011_9, c_0101_0, c_0101_2, c_0101_3, c_0110_5, c_1001_0, c_1001_10, c_1001_12 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 15917451517/2067712*c_1001_12^5 + 467114302331/25846400*c_1001_12^4 - 1637338030587/51692800*c_1001_12^3 + 1604554474477/25846400*c_1001_12^2 - 855433732433/10338560*c_1001_12 + 145605059677/3230800, c_0011_0 - 1, c_0011_10 + 9425/16154*c_1001_12^5 - 33469/32308*c_1001_12^4 + 74763/32308*c_1001_12^3 - 112177/32308*c_1001_12^2 + 37247/8077*c_1001_12 - 23140/8077, c_0011_11 - 1, c_0011_3 + 1, c_0011_4 - 10075/16154*c_1001_12^5 + 28333/16154*c_1001_12^4 - 25759/8077*c_1001_12^3 + 101595/16154*c_1001_12^2 - 160123/16154*c_1001_12 + 51195/8077, c_0011_9 - 1, c_0101_0 - 3325/394*c_1001_12^5 + 7713/394*c_1001_12^4 - 6711/197*c_1001_12^3 + 26475/394*c_1001_12^2 - 35183/394*c_1001_12 + 9393/197, c_0101_2 + 10075/16154*c_1001_12^5 - 28333/16154*c_1001_12^4 + 25759/8077*c_1001_12^3 - 101595/16154*c_1001_12^2 + 160123/16154*c_1001_12 - 51195/8077, c_0101_3 + 1108235/64616*c_1001_12^5 - 6414321/161540*c_1001_12^4 + 22563029/323080*c_1001_12^3 - 22014549/161540*c_1001_12^2 + 58659043/323080*c_1001_12 - 793305/8077, c_0110_5 - 545385/64616*c_1001_12^5 + 3226311/161540*c_1001_12^4 - 11324539/323080*c_1001_12^3 + 11106889/161540*c_1001_12^2 - 29597253/323080*c_1001_12 + 398534/8077, c_1001_0 + 3325/394*c_1001_12^5 - 7713/394*c_1001_12^4 + 6711/197*c_1001_12^3 - 26475/394*c_1001_12^2 + 35183/394*c_1001_12 - 9393/197, c_1001_10 + 9425/16154*c_1001_12^5 - 33469/32308*c_1001_12^4 + 74763/32308*c_1001_12^3 - 112177/32308*c_1001_12^2 + 29170/8077*c_1001_12 - 23140/8077, c_1001_12^6 - 86/25*c_1001_12^5 + 167/25*c_1001_12^4 - 314/25*c_1001_12^3 + 489/25*c_1001_12^2 - 88/5*c_1001_12 + 32/5 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.050 Total time: 0.250 seconds, Total memory usage: 32.09MB