Magma V2.19-8 Tue Aug 20 2013 23:57:57 on localhost [Seed = 3103707167] Type ? for help. Type -D to quit. Loading file "L14n38542__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n38542 geometric_solution 10.92709835 oriented_manifold CS_known 0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 1 0 0 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 7 -6 -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 -0.331961639495 0.958625283323 0 5 7 6 0132 0132 0132 0132 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 -1 0 1 0 0 0 0 1 0 0 -1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.384115708450 1.212477003721 5 0 9 8 0132 0132 0132 0132 1 1 1 0 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 -7 0 7 0 0 0 0 0 0 0 0 3 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.430009185988 0.925923500044 6 4 10 0 3120 2103 0132 0132 1 0 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 -6 0 6 -1 0 0 1 0 1 0 -1 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.299013697490 1.394407905381 5 3 0 10 3012 2103 0132 0132 1 0 1 0 0 0 0 0 0 0 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 -1 1 0 1 0 -1 0 -6 6 0 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.032291308507 0.583639578647 2 1 11 4 0132 0132 0132 1230 0 1 0 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 -3 1 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.154830729486 0.743201722910 11 9 1 3 0321 2103 0132 3120 0 0 1 1 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 -1 -2 -1 0 0 1 0 0 0 0 6 -7 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.160188911124 1.167147853049 11 11 10 1 2031 0132 2103 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 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.732039550118 1.105490174282 9 8 2 8 2310 1302 0132 2031 1 1 1 1 0 -1 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 0 0 0 0 7 -7 0 7 0 0 -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 0.016036279611 1.228916751634 10 6 8 2 1023 2103 3201 0132 1 1 0 1 0 0 0 0 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 0 0 0 0 0 0 0 0 -3 0 3 0 7 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.430009185988 0.925923500044 7 9 4 3 2103 1023 0132 0132 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 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 0.555814359383 1.043721275697 6 7 7 5 0321 0132 1302 0132 0 1 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 -6 0 0 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 0.207093364171 0.854378619496 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_1'], 'c_1001_10' : d['c_0101_9'], 'c_1001_5' : d['c_0011_10'], 'c_1001_4' : d['c_0011_3'], 'c_1001_7' : d['c_0011_10'], 'c_1001_6' : d['c_0011_10'], 'c_1001_1' : d['c_0101_1'], 'c_1001_0' : negation(d['c_0101_9']), 'c_1001_3' : d['c_0011_4'], 'c_1001_2' : d['c_0011_3'], 'c_1001_9' : d['c_0011_6'], 'c_1001_8' : negation(d['c_0101_9']), 'c_1010_11' : d['c_0011_10'], 'c_1010_10' : d['c_0011_4'], 's_3_11' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0011_11'], '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_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' : d['c_0101_10'], 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : negation(d['c_0101_3']), 'c_1100_6' : negation(d['c_0101_3']), 'c_1100_1' : negation(d['c_0101_3']), 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : negation(d['c_0011_8']), 's_0_10' : d['1'], 'c_1100_9' : negation(d['c_0011_8']), 'c_1100_11' : d['c_0101_10'], 'c_1100_10' : d['c_1100_0'], 's_0_11' : d['1'], 'c_1010_7' : d['c_0101_1'], 'c_1010_6' : negation(d['c_0011_3']), 'c_1010_5' : d['c_0101_1'], 'c_1010_4' : d['c_0101_9'], 'c_1010_3' : negation(d['c_0101_9']), 'c_1010_2' : negation(d['c_0101_9']), 'c_1010_1' : d['c_0011_10'], 'c_1010_0' : d['c_0011_3'], 'c_1010_9' : d['c_0011_3'], 'c_1010_8' : d['c_0011_8'], 'c_1100_8' : negation(d['c_0011_8']), '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' : d['c_0011_10'], 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_11']), '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_11' : negation(d['c_0011_6']), 'c_0110_10' : d['c_0101_3'], 'c_0101_7' : d['c_0101_10'], 'c_0101_6' : negation(d['c_0011_11']), 'c_0101_5' : negation(d['c_0011_6']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_4'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_11']), 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : negation(d['c_0011_6']), 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_4'], 'c_0110_8' : negation(d['c_0101_9']), 'c_0110_1' : negation(d['c_0011_11']), 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0011_11']), 'c_0110_2' : negation(d['c_0011_6']), 'c_0110_5' : d['c_0011_4'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : negation(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_3, c_0011_4, c_0011_6, c_0011_8, c_0101_1, c_0101_10, c_0101_3, c_0101_9, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t - 2353974058125147/20919290336*c_1100_0^8 - 7935784457460281/5229822584*c_1100_0^7 - 85782317460506715/10459645168*c_1100_0^6 - 106376410369515591/5229822584*c_1100_0^5 - 56556812688601241/2988470048*c_1100_0^4 + 11227244680381529/2614911292*c_1100_0^3 + 73808753423600659/20919290336*c_1100_0^2 - 19566622766167549/20919290336*c_1100_0 - 4320364625432095/20919290336, c_0011_0 - 1, c_0011_10 - 1, c_0011_11 - 400998402/93389689*c_1100_0^8 - 5408558511/93389689*c_1100_0^7 - 29238714707/93389689*c_1100_0^6 - 72531554976/93389689*c_1100_0^5 - 67440285744/93389689*c_1100_0^4 + 15667803738/93389689*c_1100_0^3 + 13236311694/93389689*c_1100_0^2 - 3313837712/93389689*c_1100_0 - 797141845/93389689, c_0011_3 + 71752983/93389689*c_1100_0^8 + 969831577/93389689*c_1100_0^7 + 5262135012/93389689*c_1100_0^6 + 13160393058/93389689*c_1100_0^5 + 12593482656/93389689*c_1100_0^4 - 2135293716/93389689*c_1100_0^3 - 2244508640/93389689*c_1100_0^2 + 352740117/93389689*c_1100_0 + 133666134/93389689, c_0011_4 + 71752983/93389689*c_1100_0^8 + 969831577/93389689*c_1100_0^7 + 5262135012/93389689*c_1100_0^6 + 13160393058/93389689*c_1100_0^5 + 12593482656/93389689*c_1100_0^4 - 2135293716/93389689*c_1100_0^3 - 2244508640/93389689*c_1100_0^2 + 352740117/93389689*c_1100_0 + 133666134/93389689, c_0011_6 + 225184320/93389689*c_1100_0^8 + 3035229663/93389689*c_1100_0^7 + 16388355062/93389689*c_1100_0^6 + 40539122325/93389689*c_1100_0^5 + 37305574043/93389689*c_1100_0^4 - 9517337815/93389689*c_1100_0^3 - 7561340886/93389689*c_1100_0^2 + 2000477784/93389689*c_1100_0 + 497332598/93389689, c_0011_8 - 57425649/93389689*c_1100_0^8 - 784696240/93389689*c_1100_0^7 - 4327188336/93389689*c_1100_0^6 - 11166107064/93389689*c_1100_0^5 - 11696207577/93389689*c_1100_0^4 + 15373378/93389689*c_1100_0^3 + 1684728867/93389689*c_1100_0^2 - 230330743/93389689*c_1100_0 - 80295182/93389689, c_0101_1 - 1, c_0101_10 - 296937303/93389689*c_1100_0^8 - 4005061240/93389689*c_1100_0^7 - 21650490074/93389689*c_1100_0^6 - 53699515383/93389689*c_1100_0^5 - 49899056699/93389689*c_1100_0^4 + 11652631531/93389689*c_1100_0^3 + 9805849526/93389689*c_1100_0^2 - 2353217901/93389689*c_1100_0 - 630998732/93389689, c_0101_3 - 400998402/93389689*c_1100_0^8 - 5408558511/93389689*c_1100_0^7 - 29238714707/93389689*c_1100_0^6 - 72531554976/93389689*c_1100_0^5 - 67440285744/93389689*c_1100_0^4 + 15667803738/93389689*c_1100_0^3 + 13236311694/93389689*c_1100_0^2 - 3313837712/93389689*c_1100_0 - 890531534/93389689, c_0101_9 + 124834884/93389689*c_1100_0^8 + 1688618329/93389689*c_1100_0^7 + 9168456411/93389689*c_1100_0^6 + 22945734262/93389689*c_1100_0^5 + 21969594864/93389689*c_1100_0^4 - 3712040805/93389689*c_1100_0^3 - 3805893733/93389689*c_1100_0^2 + 898311773/93389689*c_1100_0 + 232645235/93389689, c_1100_0^9 + 41/3*c_1100_0^8 + 226/3*c_1100_0^7 + 194*c_1100_0^6 + 201*c_1100_0^5 - 23/3*c_1100_0^4 - 115/3*c_1100_0^3 + 8/3*c_1100_0^2 + 10/3*c_1100_0 + 1/3 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.090 Total time: 0.300 seconds, Total memory usage: 32.09MB