Magma V2.19-8 Tue Aug 20 2013 23:53:46 on localhost [Seed = 525956243] Type ? for help. Type -D to quit. Loading file "L13n7331__sl2_c7.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n7331 geometric_solution 11.67995752 oriented_manifold CS_known -0.0000000000000003 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 0 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 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 0 0 0.517119468197 0.809528281052 0 1 1 5 0132 1230 3012 0132 0 0 0 0 0 0 -1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.564551101777 0.554354749653 5 0 7 6 3201 0132 0132 0132 0 0 0 0 0 1 -1 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 -1 1 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 0.583871976008 1.853206549641 8 9 8 0 0132 0132 3012 0132 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.500844535185 0.606764189327 10 10 0 10 0132 1230 0132 2031 0 0 1 0 0 -1 -1 2 0 0 0 0 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 0 1 -1 0 0 0 0 -3 -1 0 4 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.406514131309 1.259158816286 8 10 1 2 2103 1302 0132 2310 0 0 0 0 0 1 -1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.517119468197 0.809528281052 7 11 2 11 1230 0132 0132 1230 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.263536580473 0.804953806044 9 6 9 2 3012 3012 1302 0132 0 0 0 2 0 0 -1 1 0 0 0 0 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 0 1 -1 0 0 0 0 -1 0 0 1 -1 -1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.263536580473 0.804953806044 3 3 5 11 0132 1230 2103 0132 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.808585994533 0.982902242001 7 3 11 7 2031 0132 0132 1230 0 0 2 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 0 0 -1 0 0 1 -2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.632651537041 1.122039843092 4 4 4 5 0132 1302 3012 2031 0 0 0 1 0 0 0 0 0 0 1 -1 1 -2 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 -1 1 0 0 3 -4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.767803688494 0.719217390548 6 6 8 9 3012 0132 0132 0132 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.618705770137 0.676244809027 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_11'], 'c_1001_10' : d['c_0011_10'], 'c_1001_5' : d['c_0101_1'], 'c_1001_4' : negation(d['c_0101_6']), 'c_1001_7' : d['c_0011_11'], 'c_1001_6' : d['c_1001_0'], 'c_1001_1' : d['c_0011_0'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0011_3'], 'c_1001_2' : negation(d['c_0101_6']), 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : d['c_0011_5'], 'c_1010_11' : d['c_1001_0'], 'c_1010_10' : d['c_0011_5'], 's_0_10' : negation(d['1']), 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0011_10'], 's_2_0' : d['1'], 's_2_1' : negation(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' : negation(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' : negation(d['1']), 's_0_7' : d['1'], 's_0_4' : negation(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_0011_0']), 'c_1100_4' : negation(d['c_0011_5']), 'c_1100_7' : d['c_0101_9'], 'c_1100_6' : d['c_0101_9'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : negation(d['c_0011_5']), 'c_1100_3' : negation(d['c_0011_5']), 'c_1100_2' : d['c_0101_9'], 's_3_11' : d['1'], 'c_1100_9' : d['c_0101_2'], 'c_1100_11' : d['c_0101_2'], 'c_1100_10' : d['c_0101_6'], 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0101_6']), 'c_1010_6' : d['c_0101_11'], 'c_1010_5' : negation(d['c_0101_6']), 'c_1010_4' : d['c_0011_10'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0101_1'], 'c_1010_0' : negation(d['c_0101_6']), 'c_1010_9' : d['c_0011_3'], 'c_1010_8' : d['c_0101_11'], 'c_1100_8' : d['c_0101_2'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : negation(d['1']), 's_3_5' : d['1'], 's_3_4' : negation(d['1']), 's_3_7' : negation(d['1']), 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 's_1_7' : negation(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' : negation(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' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_10']), '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_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_9'], 'c_0110_10' : d['c_0101_1'], 'c_0101_7' : d['c_0011_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_11'], 'c_0101_2' : d['c_0101_2'], '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_0'], 's_1_11' : d['1'], 's_1_10' : negation(d['1']), 'c_0110_9' : d['c_0011_11'], 'c_0110_8' : d['c_0101_11'], '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_6'], 'c_0110_5' : negation(d['c_0101_2']), 'c_0110_4' : d['c_0011_10'], 'c_0110_7' : d['c_0101_2'], 'c_0110_6' : 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_5, c_0101_0, c_0101_1, c_0101_11, c_0101_2, c_0101_6, c_0101_9, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 1539487069314391/228345835256*c_1001_0^7 + 139085218182854863/3653533364096*c_1001_0^6 + 310352555653460623/3653533364096*c_1001_0^5 + 47328665176583619/456691670512*c_1001_0^4 + 8173263811857699/89110569856*c_1001_0^3 + 1725387934924885/47448485248*c_1001_0^2 + 1931141928899849/3653533364096*c_1001_0 - 18307282679950277/3653533364096, c_0011_0 - 1, c_0011_10 + 1, c_0011_11 + 9941472/9041251*c_1001_0^7 + 63589758/9041251*c_1001_0^6 + 161882789/9041251*c_1001_0^5 + 215075321/9041251*c_1001_0^4 + 180788068/9041251*c_1001_0^3 + 78311147/9041251*c_1001_0^2 - 16508108/9041251*c_1001_0 - 22494401/9041251, c_0011_3 - 1, c_0011_5 + 14809264/9041251*c_1001_0^7 + 90205059/9041251*c_1001_0^6 + 225392305/9041251*c_1001_0^5 + 315449814/9041251*c_1001_0^4 + 308792565/9041251*c_1001_0^3 + 184336471/9041251*c_1001_0^2 + 47249199/9041251*c_1001_0 - 7803061/9041251, c_0101_0 + 14809264/9041251*c_1001_0^7 + 90205059/9041251*c_1001_0^6 + 225392305/9041251*c_1001_0^5 + 315449814/9041251*c_1001_0^4 + 308792565/9041251*c_1001_0^3 + 184336471/9041251*c_1001_0^2 + 38207948/9041251*c_1001_0 - 7803061/9041251, c_0101_1 + 21093984/9041251*c_1001_0^7 + 119109990/9041251*c_1001_0^6 + 270445835/9041251*c_1001_0^5 + 344994229/9041251*c_1001_0^4 + 322593861/9041251*c_1001_0^3 + 154576631/9041251*c_1001_0^2 + 37340279/9041251*c_1001_0 - 11778773/9041251, c_0101_11 - 1, c_0101_2 + c_1001_0, c_0101_6 + 6284720/9041251*c_1001_0^7 + 28904931/9041251*c_1001_0^6 + 45053530/9041251*c_1001_0^5 + 29544415/9041251*c_1001_0^4 + 13801296/9041251*c_1001_0^3 - 29759840/9041251*c_1001_0^2 - 9908920/9041251*c_1001_0 - 3975712/9041251, c_0101_9 + 8290320/9041251*c_1001_0^7 + 41342441/9041251*c_1001_0^6 + 72788003/9041251*c_1001_0^5 + 58383694/9041251*c_1001_0^4 + 36059891/9041251*c_1001_0^3 - 12780056/9041251*c_1001_0^2 - 24079548/9041251*c_1001_0 - 621342/9041251, c_1001_0^8 + 89/16*c_1001_0^7 + 97/8*c_1001_0^6 + 229/16*c_1001_0^5 + 197/16*c_1001_0^4 + 17/4*c_1001_0^3 - 3/8*c_1001_0^2 - 3/4*c_1001_0 + 1/16 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.230 seconds, Total memory usage: 32.09MB