Magma V2.19-8 Wed Aug 21 2013 00:28:37 on localhost [Seed = 4290374717] Type ? for help. Type -D to quit. Loading file "K14n15965__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K14n15965 geometric_solution 10.88867930 oriented_manifold CS_known -0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 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 -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 0.522713524536 0.267448485051 0 3 4 5 0132 1023 1230 0132 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 0 1 0 0 0 0 0 1 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.919645388064 1.518272902396 6 0 8 7 0132 0132 0132 0132 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 1 0 -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 -0.010207874109 0.643067283361 1 9 10 0 1023 0132 0132 0132 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 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 0.514146381128 0.483151668973 11 11 0 1 0132 2310 0132 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0.857248637481 0.839131574154 7 7 1 12 3012 0132 0132 0132 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 1 -1 0 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 0.385287813978 0.770629160662 2 9 10 8 0132 1023 2103 0321 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.669351846726 0.629270058583 8 5 2 5 0321 0132 0132 1230 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 -1 1 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 0.480965232472 1.038141650847 7 6 10 2 0321 0321 0321 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1.451642881633 1.480306580185 6 3 12 11 1023 0132 0213 3201 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.900450377097 1.298235507115 6 12 8 3 2103 1023 0321 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0.518173582248 1.376266433563 4 9 12 4 0132 2310 2031 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.321754444534 0.723448696168 10 9 5 11 1023 0213 0132 1302 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.033906624439 1.388094403727 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0110_12']), 'c_1001_10' : d['c_0101_12'], 'c_1001_12' : d['c_1001_0'], 'c_1001_5' : d['c_0101_0'], 'c_1001_4' : d['c_0110_9'], 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : d['c_0011_10'], 'c_1001_1' : d['c_0101_3'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0110_12'], 'c_1001_2' : d['c_0110_9'], 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : negation(d['c_0101_3']), 'c_1010_12' : negation(d['c_0011_11']), 'c_1010_11' : negation(d['c_0110_9']), 'c_1010_10' : d['c_0110_12'], 's_3_11' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : 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' : 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_1100_8' : d['c_0101_12'], 'c_0011_12' : d['c_0011_10'], 'c_1100_5' : d['c_0101_11'], 'c_1100_4' : negation(d['c_0101_3']), 'c_1100_7' : d['c_0101_12'], 'c_1100_6' : negation(d['c_0101_3']), 'c_1100_1' : d['c_0101_11'], 'c_1100_0' : negation(d['c_0101_3']), 'c_1100_3' : negation(d['c_0101_3']), 'c_1100_2' : d['c_0101_12'], 's_0_10' : d['1'], 'c_1100_11' : d['c_0011_11'], 'c_1100_10' : negation(d['c_0101_3']), 's_0_11' : d['1'], 'c_1010_7' : d['c_0101_0'], 'c_1010_6' : d['c_0110_9'], 'c_1010_5' : d['c_1001_0'], 'c_1010_4' : negation(d['c_0101_1']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0101_0'], 'c_1010_0' : d['c_0110_9'], 'c_1010_9' : d['c_0110_12'], 'c_1010_8' : d['c_0110_9'], '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_0101_11'], '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' : d['c_0011_0'], 'c_0011_8' : negation(d['c_0011_5']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_11']), 'c_0011_7' : negation(d['c_0011_5']), 'c_0011_6' : d['c_0011_0'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_0']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_1'], 'c_0110_10' : d['c_0101_3'], 'c_0110_12' : d['c_0110_12'], 'c_0101_12' : d['c_0101_12'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_10'], 'c_0101_6' : d['c_0101_10'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_5'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_10'], 'c_0101_8' : negation(d['c_0101_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_0110_9'], 'c_0110_8' : d['c_0011_5'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_0011_11']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_10'], 'c_0110_5' : d['c_0101_12'], 'c_0110_4' : d['c_0101_11'], 'c_0110_7' : d['c_0011_5'], 'c_0110_6' : d['c_0011_5']})} 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_5, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_12, c_0101_3, c_0110_12, c_0110_9, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 11102765/5329589076*c_1001_0^5 - 84063625/5329589076*c_1001_0^4 + 161638969/2664794538*c_1001_0^3 - 742548245/5329589076*c_1001_0^2 + 249697498/1332397269*c_1001_0 - 146702414/1332397269, c_0011_0 - 1, c_0011_10 + 1/9*c_1001_0^5 - 4/9*c_1001_0^4 + 4/3*c_1001_0^3 - 16/9*c_1001_0^2 + 7/9*c_1001_0 - 1, c_0011_11 + 2/9*c_1001_0^4 - 5/9*c_1001_0^3 + c_1001_0^2 - 2/9*c_1001_0 - 4/9, c_0011_5 - 1/3*c_1001_0^2 + 2/3*c_1001_0 - 4/3, c_0101_0 - c_1001_0 + 1, c_0101_1 + 1/9*c_1001_0^4 - 1/9*c_1001_0^3 + 8/9*c_1001_0 - 8/9, c_0101_10 - 1/9*c_1001_0^4 + 4/9*c_1001_0^3 - 4/3*c_1001_0^2 + 16/9*c_1001_0 - 7/9, c_0101_11 - 1/3*c_1001_0^4 + 4/3*c_1001_0^3 - 3*c_1001_0^2 + 10/3*c_1001_0 - 4/3, c_0101_12 + 1/9*c_1001_0^5 - 5/9*c_1001_0^4 + 16/9*c_1001_0^3 - 28/9*c_1001_0^2 + 23/9*c_1001_0 - 16/9, c_0101_3 + 1/9*c_1001_0^4 - 4/9*c_1001_0^3 + c_1001_0^2 - 10/9*c_1001_0 + 4/9, c_0110_12 + 1/9*c_1001_0^4 - 4/9*c_1001_0^3 + c_1001_0^2 - 10/9*c_1001_0 + 4/9, c_0110_9 + 1/9*c_1001_0^4 - 1/9*c_1001_0^3 + 1/3*c_1001_0^2 + 2/9*c_1001_0 + 4/9, c_1001_0^6 - 6*c_1001_0^5 + 21*c_1001_0^4 - 44*c_1001_0^3 + 60*c_1001_0^2 - 48*c_1001_0 + 43 ], 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_5, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_12, c_0101_3, c_0110_12, c_0110_9, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 17/50*c_1001_0^5 + 43/50*c_1001_0^4 - 461/50*c_1001_0^3 + 642/25*c_1001_0^2 - 852/25*c_1001_0 + 1013/50, c_0011_0 - 1, c_0011_10 + c_1001_0^5 - 4*c_1001_0^4 + 8*c_1001_0^3 - 8*c_1001_0^2 + 3*c_1001_0 - 1, c_0011_11 - c_1001_0^3 + 3*c_1001_0^2 - 4*c_1001_0 + 2, c_0011_5 - c_1001_0^2 + 2*c_1001_0 - 2, c_0101_0 + c_1001_0 - 1, c_0101_1 + c_1001_0^4 - 3*c_1001_0^3 + 4*c_1001_0^2 - 2*c_1001_0, c_0101_10 + c_1001_0^4 - 4*c_1001_0^3 + 8*c_1001_0^2 - 8*c_1001_0 + 3, c_0101_11 + c_1001_0^4 - 4*c_1001_0^3 + 7*c_1001_0^2 - 6*c_1001_0 + 2, c_0101_12 + c_1001_0^5 - 5*c_1001_0^4 + 12*c_1001_0^3 - 16*c_1001_0^2 + 11*c_1001_0 - 4, c_0101_3 + c_1001_0^4 - 4*c_1001_0^3 + 7*c_1001_0^2 - 6*c_1001_0 + 2, c_0110_12 - c_1001_0^4 + 4*c_1001_0^3 - 7*c_1001_0^2 + 6*c_1001_0 - 2, c_0110_9 - c_1001_0^4 + 3*c_1001_0^3 - 5*c_1001_0^2 + 4*c_1001_0 - 2, c_1001_0^6 - 6*c_1001_0^5 + 17*c_1001_0^4 - 28*c_1001_0^3 + 28*c_1001_0^2 - 16*c_1001_0 + 5 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 4.220 Total time: 4.429 seconds, Total memory usage: 64.12MB