Magma V2.19-8 Tue Aug 20 2013 23:39:30 on localhost [Seed = 2951334888] Type ? for help. Type -D to quit. Loading file "K13n790__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K13n790 geometric_solution 10.27289984 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 11 1 2 3 4 0132 0132 0132 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 0 1 4 0 -4 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 0.571925290098 0.886421188577 0 2 2 5 0132 0321 2103 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 -4 0 4 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 1.036281039846 0.742650621029 1 0 5 1 2103 0132 0132 0321 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 0 -1 -4 0 5 -1 1 -1 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.036281039846 0.742650621029 6 5 7 0 0132 0132 0132 0132 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 -4 0 0 4 -1 0 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.146607347002 1.323768251305 5 8 0 9 0132 0132 0132 0132 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 -1 1 -5 0 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.146607347002 1.323768251305 4 3 1 2 0132 0132 0132 0132 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 5 0 0 -5 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.571925290098 0.886421188577 3 8 10 9 0132 1023 0132 3201 0 0 0 0 0 0 0 0 -1 0 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 0 0 4 0 0 -4 1 0 0 -1 1 4 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.155553567943 0.627395155825 8 8 9 3 2103 0321 0132 0132 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 0 0 0 0 0 0 0 0 -4 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.420910511503 0.711572500434 6 4 7 7 1023 0132 2103 0321 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 0 0 0 0 0 0 0 0 -4 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.420910511503 0.711572500434 10 6 4 7 0132 2310 0132 0132 0 0 0 0 0 0 0 0 -1 0 1 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 -1 0 5 0 -5 0 0 4 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.155553567943 0.627395155825 9 10 10 6 0132 3201 2310 0132 0 0 0 0 0 1 -1 0 1 0 -1 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 -5 5 0 -5 0 5 0 0 -5 0 5 0 -5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.372296621710 1.501586238613 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : negation(d['c_0101_10']), 'c_1001_5' : d['c_1001_0'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : negation(d['c_0101_3']), 'c_1001_6' : d['c_0101_10'], 'c_1001_1' : negation(d['c_0011_0']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_2'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_0011_7'], 'c_1001_8' : d['c_0011_7'], 'c_1010_10' : d['c_0101_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_0101_10'], '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_1100_0'], 'c_1100_8' : negation(d['c_0101_3']), 'c_1100_5' : negation(d['c_0011_0']), 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : d['c_1100_0'], 'c_1100_6' : d['c_0011_10'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : negation(d['c_0011_0']), 'c_1100_10' : d['c_0011_10'], 'c_1010_7' : d['c_1001_2'], 'c_1010_6' : negation(d['c_0011_7']), 'c_1010_5' : d['c_1001_2'], 'c_1010_4' : d['c_0011_7'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_0'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : negation(d['c_0101_3']), 'c_1010_8' : d['c_1001_2'], '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_10']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_3'], 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : negation(d['c_0011_3']), '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' : d['c_0101_0'], 'c_0101_7' : d['c_0101_10'], 'c_0101_6' : d['c_0101_0'], '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_1'], '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_0101_10'], 'c_0011_10' : d['c_0011_10'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_10'], 'c_0110_8' : negation(d['c_0011_7']), '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_0'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_0'], 'c_0110_7' : d['c_0101_3'], 'c_0110_6' : d['c_0101_3']})} 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_7, c_0101_0, c_0101_1, c_0101_10, c_0101_3, c_1001_0, c_1001_2, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t - 139934/4113*c_1100_0^13 - 765292/4113*c_1100_0^12 - 2066627/4113*c_1100_0^11 - 1276366/1371*c_1100_0^10 - 6242318/4113*c_1100_0^9 - 9133715/4113*c_1100_0^8 - 11133466/4113*c_1100_0^7 - 10506067/4113*c_1100_0^6 - 2873890/1371*c_1100_0^5 - 6447148/4113*c_1100_0^4 - 1337707/1371*c_1100_0^3 - 1408669/4113*c_1100_0^2 - 388871/4113*c_1100_0 + 13936/4113, c_0011_0 - 1, c_0011_10 - 878/457*c_1100_0^13 - 5496/457*c_1100_0^12 - 16642/457*c_1100_0^11 - 33720/457*c_1100_0^10 - 56965/457*c_1100_0^9 - 86448/457*c_1100_0^8 - 112330/457*c_1100_0^7 - 117293/457*c_1100_0^6 - 102404/457*c_1100_0^5 - 80573/457*c_1100_0^4 - 55396/457*c_1100_0^3 - 27145/457*c_1100_0^2 - 9015/457*c_1100_0 - 1678/457, c_0011_3 - c_1100_0, c_0011_7 + 572/457*c_1100_0^13 + 2856/457*c_1100_0^12 + 6832/457*c_1100_0^11 + 10951/457*c_1100_0^10 + 16303/457*c_1100_0^9 + 21963/457*c_1100_0^8 + 22433/457*c_1100_0^7 + 13599/457*c_1100_0^6 + 5826/457*c_1100_0^5 + 1111/457*c_1100_0^4 - 2944/457*c_1100_0^3 - 6954/457*c_1100_0^2 - 3701/457*c_1100_0 - 1882/457, c_0101_0 - 216/457*c_1100_0^13 - 385/457*c_1100_0^12 + 1140/457*c_1100_0^11 + 5810/457*c_1100_0^10 + 12293/457*c_1100_0^9 + 21929/457*c_1100_0^8 + 35551/457*c_1100_0^7 + 48420/457*c_1100_0^6 + 48658/457*c_1100_0^5 + 41519/457*c_1100_0^4 + 32127/457*c_1100_0^3 + 21657/457*c_1100_0^2 + 8390/457*c_1100_0 + 2299/457, c_0101_1 + 203/457*c_1100_0^13 + 694/457*c_1100_0^12 + 782/457*c_1100_0^11 - 336/457*c_1100_0^10 - 1789/457*c_1100_0^9 - 4574/457*c_1100_0^8 - 10043/457*c_1100_0^7 - 16791/457*c_1100_0^6 - 18026/457*c_1100_0^5 - 16752/457*c_1100_0^4 - 14154/457*c_1100_0^3 - 10801/457*c_1100_0^2 - 4411/457*c_1100_0 - 1820/457, c_0101_10 + 183/457*c_1100_0^13 + 853/457*c_1100_0^12 + 1700/457*c_1100_0^11 + 1793/457*c_1100_0^10 + 1575/457*c_1100_0^9 + 1104/457*c_1100_0^8 - 1665/457*c_1100_0^7 - 7433/457*c_1100_0^6 - 10237/457*c_1100_0^5 - 9057/457*c_1100_0^4 - 7701/457*c_1100_0^3 - 7247/457*c_1100_0^2 - 3211/457*c_1100_0 - 837/457, c_0101_3 + 572/457*c_1100_0^13 + 2856/457*c_1100_0^12 + 6832/457*c_1100_0^11 + 10951/457*c_1100_0^10 + 16303/457*c_1100_0^9 + 21963/457*c_1100_0^8 + 22433/457*c_1100_0^7 + 13599/457*c_1100_0^6 + 5826/457*c_1100_0^5 + 1111/457*c_1100_0^4 - 2944/457*c_1100_0^3 - 6954/457*c_1100_0^2 - 3701/457*c_1100_0 - 1882/457, c_1001_0 + 203/457*c_1100_0^13 + 694/457*c_1100_0^12 + 782/457*c_1100_0^11 - 336/457*c_1100_0^10 - 1789/457*c_1100_0^9 - 4574/457*c_1100_0^8 - 10043/457*c_1100_0^7 - 16791/457*c_1100_0^6 - 18026/457*c_1100_0^5 - 16752/457*c_1100_0^4 - 14154/457*c_1100_0^3 - 10801/457*c_1100_0^2 - 4411/457*c_1100_0 - 1820/457, c_1001_2 + 216/457*c_1100_0^13 + 385/457*c_1100_0^12 - 1140/457*c_1100_0^11 - 5810/457*c_1100_0^10 - 12293/457*c_1100_0^9 - 21929/457*c_1100_0^8 - 35551/457*c_1100_0^7 - 48420/457*c_1100_0^6 - 48658/457*c_1100_0^5 - 41519/457*c_1100_0^4 - 32127/457*c_1100_0^3 - 21657/457*c_1100_0^2 - 8390/457*c_1100_0 - 2299/457, c_1100_0^14 + 6*c_1100_0^13 + 18*c_1100_0^12 + 37*c_1100_0^11 + 64*c_1100_0^10 + 98*c_1100_0^9 + 129*c_1100_0^8 + 139*c_1100_0^7 + 128*c_1100_0^6 + 104*c_1100_0^5 + 74*c_1100_0^4 + 41*c_1100_0^3 + 18*c_1100_0^2 + 5*c_1100_0 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.110 Total time: 0.320 seconds, Total memory usage: 32.09MB