Magma V2.19-8 Tue Aug 20 2013 23:43:18 on localhost [Seed = 104882990] Type ? for help. Type -D to quit. Loading file "L13n7889__sl2_c7.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n7889 geometric_solution 9.74515044 oriented_manifold CS_known 0.0000000000000000 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 11 0 1 0 1 2310 0132 3201 2310 2 2 2 2 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 2 0 -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 -0.342671523718 0.502032837194 0 0 3 2 3201 0132 0132 0132 2 2 2 2 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 -2 -1 3 0 0 0 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 -0.986168301463 2.520597713190 4 3 1 5 0132 2031 0132 0132 2 2 1 2 0 -1 1 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 3 -3 0 0 0 0 0 0 -1 0 1 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.245190575520 0.497937039978 2 6 5 1 1302 0132 0132 0132 2 2 2 1 0 0 0 0 -1 0 1 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 -1 0 1 2 0 -2 0 -3 3 0 0 1 3 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.245190575520 0.497937039978 2 5 8 7 0132 2103 0132 0132 1 2 2 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 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0.565917880888 0.847522899645 6 4 2 3 0321 2103 0132 0132 2 2 1 1 0 0 0 0 1 0 0 -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 -2 0 0 2 0 -4 0 4 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.618855971116 1.027314259388 5 3 10 9 0321 0132 0132 0132 2 1 1 2 0 0 0 0 0 0 0 0 0 1 0 -1 -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 0 -3 0 3 2 -3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.565917880888 0.847522899645 10 9 4 9 1230 3120 0132 1023 1 2 0 2 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 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 0.467094129828 0.873546913562 10 9 10 4 0213 3012 1023 0132 1 2 1 0 0 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 -3 0 3 -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 0.467094129828 0.873546913562 8 7 6 7 1230 3120 0132 1023 2 1 0 1 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 0 0 0 0 0 0 -1 1 -1 1 0 0 3 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.467094129828 0.873546913562 8 7 8 6 0213 3012 1023 0132 2 1 2 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 -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 0.467094129828 0.873546913562 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : d['c_0011_10'], 'c_1001_5' : negation(d['c_0011_2']), 'c_1001_4' : d['c_0011_5'], 'c_1001_7' : negation(d['c_1001_3']), 'c_1001_6' : negation(d['c_0101_2']), 'c_1001_1' : negation(d['c_0101_2']), 'c_1001_0' : negation(d['c_0101_0']), 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : negation(d['c_0101_0']), 'c_1001_9' : d['c_1001_3'], 'c_1001_8' : d['c_0011_8'], 'c_1010_10' : negation(d['c_0101_2']), 's_0_10' : d['1'], 's_3_10' : negation(d['1']), 's_2_8' : negation(d['1']), 's_2_9' : d['1'], 'c_0101_10' : d['c_0011_8'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : negation(d['1']), 's_2_5' : negation(d['1']), 's_2_6' : negation(d['1']), 's_2_7' : d['1'], 's_2_10' : negation(d['1']), 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : negation(d['1']), 's_0_7' : d['1'], 's_0_4' : negation(d['1']), 's_0_5' : negation(d['1']), 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : negation(d['1']), 'c_1100_9' : d['c_1100_10'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_1100_1'], 'c_1100_4' : negation(d['c_1100_10']), 'c_1100_7' : negation(d['c_1100_10']), 'c_1100_6' : d['c_1100_10'], 'c_1100_1' : d['c_1100_1'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : d['c_1100_1'], 'c_1100_2' : d['c_1100_1'], 'c_1100_10' : d['c_1100_10'], 'c_1010_7' : d['c_0011_8'], 'c_1010_6' : d['c_1001_3'], 'c_1010_5' : d['c_1001_3'], 'c_1010_4' : negation(d['c_1001_3']), 'c_1010_3' : negation(d['c_0101_2']), 'c_1010_2' : negation(d['c_0011_2']), 'c_1010_1' : negation(d['c_0101_0']), 'c_1010_0' : negation(d['c_0101_2']), 'c_1010_9' : d['c_0011_10'], 'c_1010_8' : d['c_0011_5'], 'c_1100_8' : negation(d['c_1100_10']), 's_3_1' : d['1'], 's_3_0' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : negation(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' : negation(d['1']), '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' : negation(d['1']), 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_8']), 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_2']), 'c_0011_7' : negation(d['c_0011_10']), 'c_0011_6' : d['c_0011_2'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_2']), 'c_0011_2' : d['c_0011_2'], 'c_0110_10' : negation(d['c_0101_4']), 'c_0101_7' : d['c_0101_2'], 'c_0101_6' : negation(d['c_0101_4']), 'c_0101_5' : d['c_0101_4'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0011_2']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_0'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_5']), 'c_0101_8' : d['c_0011_10'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_8'], 'c_0110_8' : d['c_0101_4'], 'c_0110_1' : d['c_0101_2'], 'c_0110_0' : negation(d['c_0101_0']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_4'], 'c_0110_5' : negation(d['c_0011_2']), 'c_0110_4' : d['c_0101_2'], 'c_0110_7' : d['c_0011_10'], 'c_0110_6' : negation(d['c_0011_5'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_2, c_0011_5, c_0011_8, c_0101_0, c_0101_2, c_0101_4, c_1001_3, c_1100_1, c_1100_10 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t + 95/32*c_1100_10^6 - 613/96*c_1100_10^5 - 43/4*c_1100_10^4 + 1007/12*c_1100_10^3 - 5/24*c_1100_10^2 - 1463/6*c_1100_10 + 535/3, c_0011_0 - 1, c_0011_10 + 1, c_0011_2 - 1, c_0011_5 + 13/32*c_1100_10^6 + 3/32*c_1100_10^5 - 39/16*c_1100_10^4 + 27/4*c_1100_10^3 + 22*c_1100_10^2 - 8*c_1100_10 - 26, c_0011_8 - 1/8*c_1100_10^6 + 1/16*c_1100_10^5 + 11/16*c_1100_10^4 - 5/2*c_1100_10^3 - 19/4*c_1100_10^2 + 5*c_1100_10 + 5, c_0101_0 + 1/28*c_1100_10^6 - 1/56*c_1100_10^5 - 9/56*c_1100_10^4 + 5/7*c_1100_10^3 + 5/4*c_1100_10^2 - 6/7*c_1100_10 - 4/7, c_0101_2 + 15/224*c_1100_10^6 + 3/224*c_1100_10^5 - 23/56*c_1100_10^4 + 61/56*c_1100_10^3 + 15/4*c_1100_10^2 - 19/14*c_1100_10 - 32/7, c_0101_4 + 3/16*c_1100_10^6 - 17/16*c_1100_10^4 + 27/8*c_1100_10^3 + 37/4*c_1100_10^2 - 4*c_1100_10 - 10, c_1001_3 - 3/16*c_1100_10^6 + 17/16*c_1100_10^4 - 27/8*c_1100_10^3 - 37/4*c_1100_10^2 + 4*c_1100_10 + 10, c_1100_1 + 3/32*c_1100_10^6 + 1/32*c_1100_10^5 - 9/16*c_1100_10^4 + 13/8*c_1100_10^3 + 5*c_1100_10^2 - 2*c_1100_10 - 5, c_1100_10^7 - c_1100_10^6 - 6*c_1100_10^5 + 24*c_1100_10^4 + 32*c_1100_10^3 - 80*c_1100_10^2 - 32*c_1100_10 + 64 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB