Magma V2.19-8 Tue Aug 20 2013 17:58:12 on localhost [Seed = 3137015533] Type ? for help. Type -D to quit. Loading file "10^2_164__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation 10^2_164 geometric_solution 11.75717306 oriented_manifold CS_known 0.0000000000000003 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 1 0132 0132 0132 2031 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 0 0 1 -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 -0.051792504845 0.798155607649 0 0 5 4 0132 1302 0132 0132 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 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 1.080959331589 1.247635052467 6 0 6 4 0132 0132 3012 1230 0 0 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 0 0 0 0 0 0 0 -2 0 0 2 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.132751836433 0.449479444817 7 7 8 0 0132 1230 0132 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 1 0 -1 -1 0 1 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 0.488437388764 0.541268644952 2 8 1 9 3012 1230 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 -1 0 1 0 0 0 0 -2 3 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.153152136618 0.471788555928 10 10 8 1 0132 1230 2103 0132 0 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 0 0 0 0 0 0 0 0 0 0 0 0 -2 3 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.745498633970 0.709957892023 2 2 11 10 0132 1230 0132 2031 0 0 1 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 0 0 0 0 0 0 2 0 0 -2 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.908921154588 0.471077821908 3 12 3 9 0132 0132 3012 2103 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.081094951630 1.018297333112 5 11 4 3 2103 2031 3012 0132 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 1 -1 0 0 0 0 0 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.765167332508 0.786169386812 11 12 4 7 1230 1230 0132 2103 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.661961896356 0.579529884620 5 6 5 12 0132 1302 3012 2103 0 0 0 1 0 1 0 -1 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 2 0 -2 0 0 0 0 0 0 0 0 2 1 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.296572268433 0.669892668796 8 9 12 6 1302 3012 3201 0132 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 1 -1 0 -3 0 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 0.826875504419 0.615977844837 11 7 9 10 2310 0132 3012 2103 0 0 0 0 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 0 0 0 0 0 0 -3 1 0 2 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.468166409652 0.364427670269 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0011_9']), 'c_1001_10' : d['c_0011_10'], 'c_1001_12' : negation(d['c_0011_9']), 'c_1001_5' : d['c_0011_8'], 'c_1001_4' : d['c_1001_4'], 'c_1001_7' : negation(d['c_0011_12']), 'c_1001_6' : negation(d['c_0101_9']), 'c_1001_1' : d['c_0101_1'], 'c_1001_0' : d['c_0101_0'], 'c_1001_3' : d['c_0011_11'], 'c_1001_2' : negation(d['c_0011_0']), 'c_1001_9' : d['c_0101_5'], 'c_1001_8' : negation(d['c_0011_4']), 'c_1010_12' : negation(d['c_0011_12']), 'c_1010_11' : negation(d['c_0101_9']), 'c_1010_10' : d['c_0011_12'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 'c_0101_12' : d['c_0011_9'], 'c_0101_11' : negation(d['c_0011_8']), 'c_0101_10' : d['c_0101_1'], 's_2_0' : d['1'], 's_2_1' : 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' : d['1'], 's_2_7' : negation(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' : 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' : negation(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_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0101_3']), 'c_1100_4' : negation(d['c_0101_3']), 'c_1100_7' : negation(d['c_0011_11']), 'c_1100_6' : negation(d['c_0011_12']), 'c_1100_1' : negation(d['c_0101_3']), 'c_1100_0' : negation(d['c_1001_4']), 'c_1100_3' : negation(d['c_1001_4']), 'c_1100_2' : d['c_0101_9'], 's_3_11' : d['1'], 'c_1100_9' : negation(d['c_0101_3']), 'c_1100_11' : negation(d['c_0011_12']), 'c_1100_10' : negation(d['c_0011_8']), 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0011_9']), 'c_1010_6' : d['c_0011_10'], 'c_1010_5' : d['c_0101_1'], 'c_1010_4' : d['c_0101_5'], 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : d['c_0101_0'], 'c_1010_1' : d['c_1001_4'], 'c_1010_0' : negation(d['c_0011_0']), 'c_1010_9' : d['c_0011_9'], 'c_1010_8' : d['c_0011_11'], 'c_1100_8' : negation(d['c_1001_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'], 'c_1100_12' : negation(d['c_0101_5']), 's_1_7' : d['1'], 's_1_6' : negation(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' : d['c_0011_9'], 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_12']), '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' : d['c_0011_12'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0011_4'], 'c_0110_10' : d['c_0101_5'], 'c_0110_12' : d['c_0011_8'], 'c_0101_7' : d['c_0101_0'], 'c_0101_6' : d['c_0011_4'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_10'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : d['c_0101_5'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_11'], '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_4'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_9'], 'c_0110_7' : d['c_0101_3'], 'c_0110_6' : d['c_0011_10'], 's_2_9' : d['1']})} 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_12, c_0011_4, c_0011_8, c_0011_9, c_0101_0, c_0101_1, c_0101_3, c_0101_5, c_0101_9, c_1001_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 15 Groebner basis: [ t - 6897628641/23778895*c_1001_4^14 + 7279267670/4755779*c_1001_4^13 - 93518024884/23778895*c_1001_4^12 + 132627772176/23778895*c_1001_4^11 - 19425335778/4755779*c_1001_4^10 + 745682297/23778895*c_1001_4^9 + 61018275329/23778895*c_1001_4^8 - 44118706474/23778895*c_1001_4^7 - 450703279/679397*c_1001_4^6 + 327556549/218155*c_1001_4^5 - 13218704059/23778895*c_1001_4^4 - 1529125711/3396985*c_1001_4^3 + 1630008959/4755779*c_1001_4^2 + 738957491/23778895*c_1001_4 - 1831451488/23778895, c_0011_0 - 1, c_0011_10 - c_1001_4^13 + 7*c_1001_4^12 - 24*c_1001_4^11 + 49*c_1001_4^10 - 63*c_1001_4^9 + 47*c_1001_4^8 - 12*c_1001_4^7 - 12*c_1001_4^6 + 10*c_1001_4^5 + 2*c_1001_4^4 - 8*c_1001_4^3 + 3*c_1001_4^2 + c_1001_4 - 1, c_0011_11 + c_1001_4^4 - 2*c_1001_4^3 + c_1001_4^2 + 2*c_1001_4 - 1, c_0011_12 - c_1001_4^3 + 2*c_1001_4^2 - 2*c_1001_4, c_0011_4 - c_1001_4^13 + 6*c_1001_4^12 - 18*c_1001_4^11 + 32*c_1001_4^10 - 37*c_1001_4^9 + 28*c_1001_4^8 - 16*c_1001_4^7 + 8*c_1001_4^6 - 6*c_1001_4^5 + 4*c_1001_4^4 - 4*c_1001_4^3 - c_1001_4, c_0011_8 + c_1001_4^11 - 6*c_1001_4^10 + 18*c_1001_4^9 - 32*c_1001_4^8 + 36*c_1001_4^7 - 24*c_1001_4^6 + 8*c_1001_4^5 + c_1001_4^3 - 2*c_1001_4^2 + 2*c_1001_4, c_0011_9 + c_1001_4^7 - 4*c_1001_4^6 + 8*c_1001_4^5 - 8*c_1001_4^4 + 4*c_1001_4^3, c_0101_0 - 1, c_0101_1 - c_1001_4 + 1, c_0101_3 - c_1001_4^2 + 2*c_1001_4 - 1, c_0101_5 - c_1001_4^14 + 8*c_1001_4^13 - 31*c_1001_4^12 + 74*c_1001_4^11 - 118*c_1001_4^10 + 128*c_1001_4^9 - 91*c_1001_4^8 + 36*c_1001_4^7 - 2*c_1001_4^6 - 10*c_1001_4^4 + 12*c_1001_4^3 - 4*c_1001_4^2 + 1, c_0101_9 + c_1001_4^12 - 6*c_1001_4^11 + 17*c_1001_4^10 - 26*c_1001_4^9 + 19*c_1001_4^8 + 4*c_1001_4^7 - 20*c_1001_4^6 + 16*c_1001_4^5 - 2*c_1001_4^4 - 4*c_1001_4^3 + 3*c_1001_4^2 + 2*c_1001_4 - 1, c_1001_4^15 - 7*c_1001_4^14 + 24*c_1001_4^13 - 49*c_1001_4^12 + 62*c_1001_4^11 - 42*c_1001_4^10 + 27*c_1001_4^8 - 18*c_1001_4^7 - 6*c_1001_4^6 + 16*c_1001_4^5 - 6*c_1001_4^4 - 4*c_1001_4^3 + 4*c_1001_4^2 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.200 Total time: 0.410 seconds, Total memory usage: 32.09MB