Magma V2.19-8 Tue Aug 20 2013 23:53:08 on localhost [Seed = 1377057204] Type ? for help. Type -D to quit. Loading file "L13n4734__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n4734 geometric_solution 10.67325819 oriented_manifold CS_known 0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 1 1 1 1 0 0 1 -1 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 1 -7 6 -7 0 0 7 0 0 0 0 7 0 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.541369296574 0.934008071244 0 3 6 5 0132 3201 0132 0132 1 1 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 0 0 0 0 0 0 0 7 0 0 -7 -7 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.549542705110 0.761399015252 3 0 5 7 0132 0132 2103 0132 1 1 1 1 0 0 0 0 0 0 -1 1 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 -1 0 1 0 0 6 -6 -6 0 0 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.742985128188 0.256630532500 2 4 1 0 0132 2310 2310 0132 1 1 1 1 0 0 1 -1 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 0 -7 7 0 0 0 0 0 -7 0 7 6 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.498770260931 0.626678146057 8 9 0 3 0132 0132 0132 3201 1 1 1 1 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 0 0 0 0 0 0 0 -6 6 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 0 0.794615649108 1.628621996070 2 10 1 8 2103 0132 0132 2031 1 1 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 0 0 0 0 0 0 0 0 -6 0 7 -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 1.755085668452 2.380828507215 11 7 11 1 0132 3012 3012 0132 1 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.219931036354 0.685691610827 6 8 2 11 1230 3201 0132 2103 1 1 1 1 0 0 0 0 0 0 -1 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 -1 1 0 0 6 -6 -1 1 0 0 0 6 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.953755535475 0.520265453039 4 5 7 11 0132 1302 2310 0132 1 1 1 1 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 -1 0 0 0 -6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.439862072708 1.371383221654 10 4 10 10 2103 0132 0132 3120 1 0 1 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 0 0 0 0 0 0 0 4 0 -1 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.251695222817 0.793609502405 9 5 9 9 3120 0132 2103 0132 1 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 0 0 0 0 0 0 0 0 3 0 -4 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 0.628945890400 0.667024253138 6 6 8 7 0132 1230 0132 2103 1 1 1 1 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 -6 6 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.723169567549 0.635676239901 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0101_1'], 'c_1001_11' : d['c_1001_11'], 'c_1001_10' : negation(d['c_0011_4']), 'c_1001_5' : negation(d['c_1001_3']), 'c_1001_4' : negation(d['c_0011_10']), 'c_1001_7' : negation(d['c_0101_8']), 'c_1001_6' : negation(d['c_0011_11']), 'c_1001_1' : negation(d['c_0101_3']), 'c_1001_0' : negation(d['c_0101_8']), 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : negation(d['c_0011_10']), 'c_1001_9' : negation(d['c_1001_3']), 'c_1001_8' : d['c_0101_6'], 'c_1010_11' : d['c_0101_6'], 'c_1010_10' : negation(d['c_1001_3']), 's_3_11' : d['1'], 's_0_11' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_1'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : negation(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' : d['1'], 's_2_6' : 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' : 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_0011_10' : d['c_0011_10'], 'c_1100_5' : negation(d['c_1001_11']), 'c_1100_4' : negation(d['c_0011_0']), 'c_1100_7' : negation(d['c_0101_6']), 'c_1100_6' : negation(d['c_1001_11']), 'c_1100_1' : negation(d['c_1001_11']), 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : negation(d['c_0101_6']), 's_0_10' : d['1'], 'c_1100_9' : negation(d['c_0101_10']), 'c_1100_11' : d['c_0011_11'], 'c_1100_10' : negation(d['c_0101_10']), 's_3_10' : d['1'], 'c_1010_7' : negation(d['c_0101_6']), 'c_1010_6' : negation(d['c_0101_3']), 'c_1010_5' : negation(d['c_0011_4']), 'c_1010_4' : negation(d['c_1001_3']), 'c_1010_3' : negation(d['c_0101_8']), 'c_1010_2' : negation(d['c_0101_8']), 'c_1010_1' : negation(d['c_1001_3']), 'c_1010_0' : negation(d['c_0011_10']), 'c_1010_9' : negation(d['c_0011_10']), 'c_1010_8' : d['c_1001_11'], 's_3_1' : d['1'], 's_3_0' : negation(d['1']), 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : negation(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' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : negation(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_4']), 'c_0011_8' : negation(d['c_0011_4']), 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_11'], 'c_0011_6' : negation(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_0'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_6'], 'c_0110_10' : d['c_0101_10'], 'c_0101_7' : d['c_0101_3'], 'c_0101_6' : d['c_0101_6'], '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_0101_0'], '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_8'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_10'], '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_0'], 'c_0110_2' : d['c_0101_3'], 'c_0110_5' : d['c_0101_6'], 'c_0110_4' : d['c_0101_8'], 'c_0110_7' : negation(d['c_0011_11']), 'c_1100_8' : d['c_0011_11']})} 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_4, c_0101_0, c_0101_1, c_0101_10, c_0101_3, c_0101_6, c_0101_8, c_1001_11, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t - 27/32*c_1001_3^3 - 29/16*c_1001_3^2 - 3/4*c_1001_3 + 15/8, c_0011_0 - 1, c_0011_10 + 1/2*c_1001_3^3 + 1/2*c_1001_3^2 + c_1001_3 + 2, c_0011_11 - 1/4*c_1001_3^3 - 1/4*c_1001_3^2 - c_1001_3 - 1, c_0011_4 - 1/2*c_1001_3^3 - 1/2*c_1001_3^2 - 2*c_1001_3 - 2, c_0101_0 + 1/2*c_1001_3^3 + c_1001_3^2 + 3/2*c_1001_3 + 2, c_0101_1 + 1/2*c_1001_3^3 + 1/2*c_1001_3^2 + c_1001_3 + 1, c_0101_10 - 1, c_0101_3 + 1, c_0101_6 + 1/2*c_1001_3^3 + c_1001_3^2 + 3/2*c_1001_3 + 2, c_0101_8 + 1/2*c_1001_3^3 + 3/2*c_1001_3^2 + 2*c_1001_3 + 3, c_1001_11 + 1/2*c_1001_3^3 + c_1001_3^2 + 3/2*c_1001_3 + 2, c_1001_3^4 + 3*c_1001_3^3 + 6*c_1001_3^2 + 8*c_1001_3 + 8 ], 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_4, c_0101_0, c_0101_1, c_0101_10, c_0101_3, c_0101_6, c_0101_8, c_1001_11, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 5 Groebner basis: [ t + 3534081191/114086461440*c_1001_3^4 - 6407278173/38028820480*c_1001_3^3 + 1010082009/3802882048*c_1001_3^2 - 1332017353/1188400640*c_1001_3 + 30696727153/14260807680, c_0011_0 - 1, c_0011_10 + 3/68*c_1001_3^4 - 21/68*c_1001_3^3 + 11/17*c_1001_3^2 - 19/17*c_1001_3 + 24/17, c_0011_11 + 3/136*c_1001_3^4 - 21/136*c_1001_3^3 + 11/34*c_1001_3^2 - 1/17*c_1001_3 + 12/17, c_0011_4 - 3/68*c_1001_3^4 + 21/68*c_1001_3^3 - 11/17*c_1001_3^2 + 2/17*c_1001_3 - 24/17, c_0101_0 + 1/34*c_1001_3^4 - 7/34*c_1001_3^3 + 9/34*c_1001_3^2 + 3/34*c_1001_3 - 18/17, c_0101_1 + 29/272*c_1001_3^4 - 101/272*c_1001_3^3 - 31/136*c_1001_3^2 - 19/17*c_1001_3 - 3/34, c_0101_10 - 1, c_0101_3 + 1/34*c_1001_3^4 - 7/34*c_1001_3^3 + 13/17*c_1001_3^2 - 24/17*c_1001_3 + 33/17, c_0101_6 - 11/272*c_1001_3^4 + 43/272*c_1001_3^3 - 7/136*c_1001_3^2 + 15/34*c_1001_3 + 7/34, c_0101_8 - 7/272*c_1001_3^4 + 15/272*c_1001_3^3 + 45/136*c_1001_3^2 + 4/17*c_1001_3 - 11/34, c_1001_11 + 33/272*c_1001_3^4 - 129/272*c_1001_3^3 + 21/136*c_1001_3^2 - 45/34*c_1001_3 - 21/34, c_1001_3^5 - 4*c_1001_3^4 + 5*c_1001_3^3 - 38*c_1001_3^2 + 24*c_1001_3 - 40 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.270 Total time: 0.480 seconds, Total memory usage: 32.09MB