Magma V2.19-8 Tue Aug 20 2013 23:50:51 on localhost [Seed = 3313741559] Type ? for help. Type -D to quit. Loading file "L12n87__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n87 geometric_solution 11.08216662 oriented_manifold CS_known 0.0000000000000005 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 1 1 1 0 0 0 0 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 0 -1 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 0.658836098086 1.161541399997 0 5 2 6 0132 0132 1023 0132 1 1 0 1 0 0 0 0 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 0 0 0 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 0.315270285671 0.325682232085 7 0 1 8 0132 0132 1023 0132 1 1 0 1 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 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 0.465571231877 1.585103985031 7 5 9 0 2031 1230 0132 0132 1 1 0 1 0 0 0 0 0 0 0 0 -1 2 0 -1 1 0 -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 1 -1 0 0 -6 0 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.973305746923 0.821423442780 9 10 0 8 1302 0132 0132 0213 1 1 1 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 1 -1 0 -1 0 0 1 1 0 0 -1 -6 7 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.536080433269 0.897691321348 8 1 3 11 1023 0132 3012 0132 1 1 1 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 -1 1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.852100964295 0.737978814964 7 8 1 10 1023 1023 0132 3012 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.783451796695 0.600647899257 2 6 3 11 0132 1023 1302 2031 1 1 1 0 0 0 0 0 0 0 -1 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 0 0 0 1 0 6 -7 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.843565812415 0.835859167912 6 5 2 4 1023 1023 0132 0213 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 -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 0.413324768453 0.633841242699 10 4 11 3 3120 2031 1302 0132 1 1 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 0 0 0 -1 0 1 0 0 0 0 0 6 0 -6 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.844330331957 0.462820086935 11 4 6 9 3201 0132 1230 3120 1 1 1 1 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 7 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.205933787413 0.466359607933 9 7 5 10 2031 1302 0132 2310 1 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 7 0 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.416919113163 1.188327110489 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_2'], 'c_1001_10' : d['c_1001_10'], 'c_1001_5' : negation(d['c_0011_3']), 'c_1001_4' : negation(d['c_0011_9']), 'c_1001_7' : d['c_0101_0'], 'c_1001_6' : negation(d['c_0011_3']), 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : d['c_0101_5'], 'c_1001_3' : negation(d['c_0011_10']), 'c_1001_2' : negation(d['c_0011_9']), 'c_1001_9' : negation(d['c_0101_10']), 'c_1001_8' : d['c_0101_5'], 'c_1010_11' : negation(d['c_0101_3']), 'c_1010_10' : negation(d['c_0011_9']), 's_0_10' : d['1'], 's_3_10' : 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' : negation(d['1']), 's_2_2' : negation(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' : negation(d['1']), 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : d['c_0101_11'], 'c_1100_8' : d['c_1001_10'], 'c_1100_5' : d['c_0011_10'], 'c_1100_4' : d['c_0101_11'], 'c_1100_7' : d['c_0101_3'], 'c_1100_6' : negation(d['c_1001_10']), 'c_1100_1' : negation(d['c_1001_10']), 'c_1100_0' : d['c_0101_11'], 'c_1100_3' : d['c_0101_11'], 'c_1100_2' : d['c_1001_10'], 's_3_11' : d['1'], 'c_1100_11' : d['c_0011_10'], 'c_1100_10' : d['c_0011_11'], 's_0_11' : d['1'], 'c_1010_7' : d['c_0011_11'], 'c_1010_6' : negation(d['c_0101_10']), 'c_1010_5' : d['c_0101_2'], 'c_1010_4' : d['c_1001_10'], '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' : negation(d['c_0011_9']), 'c_1010_9' : negation(d['c_0011_10']), 'c_1010_8' : d['c_0101_11'], 's_3_1' : negation(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'], 's_1_7' : negation(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_9'], 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : d['c_0011_0'], 'c_0110_6' : d['c_0011_11'], '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' : negation(d['c_0101_10']), 'c_0110_10' : d['c_0101_3'], 'c_0011_6' : d['c_0011_0'], 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : negation(d['c_0011_3']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_9']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_9']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_11']), 'c_0101_8' : negation(d['c_0011_3']), 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_3'], 'c_0110_8' : negation(d['c_0101_10']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_9']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_3']), 'c_0110_5' : d['c_0101_11'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0101_2'], 'c_0011_10' : d['c_0011_10']})} 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_11, c_0011_3, c_0011_9, c_0101_0, c_0101_10, c_0101_11, c_0101_2, c_0101_3, c_0101_5, c_1001_10 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 3 Groebner basis: [ t - 33515/11727144*c_1001_10^2 + 27271/1954524*c_1001_10 - 122075/11727144, c_0011_0 - 1, c_0011_10 - 1/2*c_1001_10 - 1/2, c_0011_11 - 1/2*c_1001_10^2 + 1/2*c_1001_10 - 4, c_0011_3 + 1, c_0011_9 + 1, c_0101_0 - 1/4*c_1001_10^2 + 1/2*c_1001_10 + 3/4, c_0101_10 - 1/4*c_1001_10^2 - 1/2*c_1001_10 + 3/4, c_0101_11 - 1/2*c_1001_10 + 3/2, c_0101_2 - 1/2*c_1001_10^2 + c_1001_10 - 1/2, c_0101_3 + 1/2*c_1001_10^2 - 3/2*c_1001_10 + 3, c_0101_5 - 1/4*c_1001_10^2 + c_1001_10 - 3/4, c_1001_10^3 - 5*c_1001_10^2 + 7*c_1001_10 - 11 ], Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_3, c_0011_9, c_0101_0, c_0101_10, c_0101_11, c_0101_2, c_0101_3, c_0101_5, c_1001_10 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 5 Groebner basis: [ t + 177/368*c_1001_10^4 + 87/92*c_1001_10^3 + 61/46*c_1001_10^2 + 141/46*c_1001_10 + 499/368, c_0011_0 - 1, c_0011_10 + 3*c_1001_10^4 + 15/4*c_1001_10^3 + 19/4*c_1001_10^2 + 51/4*c_1001_10 - 17/4, c_0011_11 + 3/2*c_1001_10^4 + 9/4*c_1001_10^3 + 11/4*c_1001_10^2 + 33/4*c_1001_10 - 7/4, c_0011_3 - 1, c_0011_9 + 1, c_0101_0 + 9/8*c_1001_10^4 + 3/2*c_1001_10^3 + 3/2*c_1001_10^2 + 5*c_1001_10 - 9/8, c_0101_10 + 3/8*c_1001_10^4 + 3/4*c_1001_10^3 + 5/4*c_1001_10^2 + 7/4*c_1001_10 + 7/8, c_0101_11 + 3*c_1001_10^4 + 15/4*c_1001_10^3 + 19/4*c_1001_10^2 + 55/4*c_1001_10 - 13/4, c_0101_2 + 15/4*c_1001_10^4 + 9/2*c_1001_10^3 + 13/2*c_1001_10^2 + 33/2*c_1001_10 - 21/4, c_0101_3 + 3/2*c_1001_10^4 + 9/4*c_1001_10^3 + 11/4*c_1001_10^2 + 29/4*c_1001_10 - 3/4, c_0101_5 - 15/8*c_1001_10^4 - 9/4*c_1001_10^3 - 13/4*c_1001_10^2 - 35/4*c_1001_10 + 17/8, c_1001_10^5 + c_1001_10^4 + 4/3*c_1001_10^3 + 4*c_1001_10^2 - 7/3*c_1001_10 + 1/3 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.230 seconds, Total memory usage: 32.09MB