Magma V2.19-8 Tue Aug 20 2013 23:42:52 on localhost [Seed = 1495219219] Type ? for help. Type -D to quit. Loading file "L13n6164__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n6164 geometric_solution 10.31188377 oriented_manifold CS_known -0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 11 1 2 3 4 0132 0132 0132 0132 1 0 1 1 0 -1 0 1 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 1 -1 0 0 -5 5 0 1 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.636946765804 0.561186797436 0 4 6 5 0132 2103 0132 0132 0 0 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 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 0.823027008190 0.522766172720 7 0 5 8 0132 0132 3012 0132 1 0 1 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 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 0.559887880751 0.925014797678 9 6 4 0 0132 2031 3201 0132 1 0 1 0 0 0 0 0 1 0 0 -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 0 1 -1 -5 0 0 5 -1 0 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.896034485578 0.679972291825 3 1 0 8 2310 2103 0132 0213 1 0 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 0 0 0 0 0 0 0 -1 1 0 -1 0 -5 6 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.792563558404 1.026516059111 7 2 1 10 1023 1230 0132 0132 0 0 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 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 0.709706807750 0.440755643524 3 8 7 1 1302 2103 0132 0132 0 0 1 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 -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 0 0 0 0 0 0.353695729805 0.733764510273 2 5 9 6 0132 1023 1023 0132 0 0 1 1 0 0 -1 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 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 0 0 0 0 0.983154195228 0.631500955258 10 6 2 4 0213 2103 0132 0213 1 0 0 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 0 0 0 0 0 0 0 0 6 0 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.425847325218 0.731220144622 3 10 7 10 0132 2103 1023 0213 0 0 0 1 0 0 0 0 -1 0 1 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 -1 0 1 5 0 -6 1 1 -1 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.656691503376 0.404480050092 8 9 5 9 0213 2103 0132 0213 0 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 0 0 0 0 0 1 0 -1 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 0.390199468499 0.812367569826 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : negation(d['c_0011_3']), 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : negation(d['c_0011_0']), 'c_1001_7' : d['c_0101_0'], 'c_1001_6' : d['c_0011_8'], 'c_1001_1' : d['c_0011_4'], 'c_1001_0' : d['c_0011_6'], 'c_1001_3' : negation(d['c_0101_1']), 'c_1001_2' : negation(d['c_0011_0']), 'c_1001_9' : d['c_0011_10'], 'c_1001_8' : d['c_0011_6'], 'c_1010_10' : d['c_1010_10'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : 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' : d['1'], 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : d['1'], 's_2_10' : 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_1100_9' : d['c_1010_10'], 'c_1100_8' : negation(d['c_1001_5']), 'c_1100_5' : negation(d['c_1010_10']), 'c_1100_4' : negation(d['c_0011_4']), 'c_1100_7' : negation(d['c_1010_10']), 'c_1100_6' : negation(d['c_1010_10']), 'c_1100_1' : negation(d['c_1010_10']), 'c_1100_0' : negation(d['c_0011_4']), 'c_1100_3' : negation(d['c_0011_4']), 'c_1100_2' : negation(d['c_1001_5']), 'c_1100_10' : negation(d['c_1010_10']), 'c_1010_7' : d['c_0011_8'], 'c_1010_6' : d['c_0011_4'], 'c_1010_5' : negation(d['c_0011_3']), 'c_1010_4' : negation(d['c_1001_5']), 'c_1010_3' : d['c_0011_6'], 'c_1010_2' : d['c_0011_6'], 'c_1010_1' : d['c_1001_5'], 'c_1010_0' : negation(d['c_0011_0']), 'c_1010_9' : negation(d['c_1010_10']), 'c_1010_8' : negation(d['c_0011_4']), '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'], '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' : negation(d['c_0011_3']), 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : d['c_0011_6'], '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_10' : negation(d['c_0101_3']), 'c_0101_7' : d['c_0011_10'], 'c_0101_6' : negation(d['c_0011_3']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0011_3']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_0'], 'c_0101_8' : d['c_0011_10'], 'c_0011_10' : d['c_0011_10'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_3'], 'c_0110_8' : d['c_0101_3'], '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_0011_10'], 'c_0110_5' : d['c_0011_8'], 'c_0110_4' : negation(d['c_0101_3']), 'c_0110_7' : negation(d['c_0011_3']), 'c_0110_6' : d['c_0101_1']})} 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_3, c_0011_4, c_0011_6, c_0011_8, c_0101_0, c_0101_1, c_0101_3, c_1001_5, c_1010_10 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 130228969/29080512*c_1010_10^5 + 127158175/3231168*c_1010_10^4 - 52099259/2423376*c_1010_10^3 + 3307227947/38774016*c_1010_10^2 + 4187522141/58161024*c_1010_10 + 645428057/116322048, c_0011_0 - 1, c_0011_10 + 221741/33658*c_1010_10^5 - 227623/33658*c_1010_10^4 + 336046/16829*c_1010_10^3 - 159285/134632*c_1010_10^2 - 179999/67316*c_1010_10 + 112727/134632, c_0011_3 + 117884/16829*c_1010_10^5 - 81968/16829*c_1010_10^4 + 333076/16829*c_1010_10^3 + 80753/16829*c_1010_10^2 - 6539/16829*c_1010_10 + 11531/16829, c_0011_4 + 130637/16829*c_1010_10^5 - 100100/16829*c_1010_10^4 + 364796/16829*c_1010_10^3 + 286691/67316*c_1010_10^2 - 69785/67316*c_1010_10 + 7621/16829, c_0011_6 + 706043/67316*c_1010_10^5 - 534841/67316*c_1010_10^4 + 510135/16829*c_1010_10^3 + 1529533/269264*c_1010_10^2 + 87939/134632*c_1010_10 + 247017/269264, c_0011_8 - 183495/67316*c_1010_10^5 + 134441/67316*c_1010_10^4 - 145339/16829*c_1010_10^3 - 382769/269264*c_1010_10^2 - 227509/134632*c_1010_10 - 125081/269264, c_0101_0 - 1, c_0101_1 + 130637/16829*c_1010_10^5 - 100100/16829*c_1010_10^4 + 364796/16829*c_1010_10^3 + 286691/67316*c_1010_10^2 - 69785/67316*c_1010_10 + 7621/16829, c_0101_3 - 285519/67316*c_1010_10^5 + 279497/67316*c_1010_10^4 - 208779/16829*c_1010_10^3 - 92201/269264*c_1010_10^2 + 216271/134632*c_1010_10 + 39/269264, c_1001_5 + 208975/67316*c_1010_10^5 - 248277/67316*c_1010_10^4 + 158987/16829*c_1010_10^3 - 556055/269264*c_1010_10^2 - 230985/134632*c_1010_10 - 106331/269264, c_1010_10^6 - 6/13*c_1010_10^5 + 33/13*c_1010_10^4 + 75/52*c_1010_10^3 - 7/52*c_1010_10^2 + 1/52*c_1010_10 + 3/52 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.240 seconds, Total memory usage: 32.09MB