Magma V2.19-8 Tue Aug 20 2013 23:42:06 on localhost [Seed = 745163109] Type ? for help. Type -D to quit. Loading file "L12n822__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n822 geometric_solution 10.76394609 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 1 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 -1 1 0 0 0 0 1 1 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.797901345064 0.906157850519 0 3 6 5 0132 0213 0132 0132 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 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 0.432879124239 0.849871561095 6 0 8 7 0132 0132 0132 0132 1 1 1 0 0 0 0 0 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 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 0.688515566649 1.004951807758 9 4 1 0 0132 2103 0213 0132 1 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 0 0 0 0 -1 0 1 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 0.432879124239 0.849871561095 8 3 0 10 0132 2103 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 1 -1 0 0 0 0 0 -1 1 0 0 -1 -1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.688515566649 1.004951807758 9 10 1 7 2103 0321 0132 0213 1 1 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 -1 0 0 1 0 -1 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.818021428193 1.096782185813 2 9 10 1 0132 0321 3201 0132 1 1 0 1 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 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.005480791708 0.896332625675 8 10 2 5 2310 3120 0132 0213 1 1 1 1 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 1 0 0 -1 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.524133999602 0.934267692720 4 9 7 2 0132 3120 3201 0132 1 1 0 1 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 1 0 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.524133999602 0.934267692720 3 8 5 6 0132 3120 2103 0321 1 1 0 1 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 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 0.818021428193 1.096782185813 6 7 4 5 2310 3120 0132 0321 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 0 0 0 1 0 0 -1 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.005480791708 0.896332625675 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : negation(d['c_1001_0']), 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : d['c_0011_3'], 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : negation(d['c_0101_10']), 'c_1001_1' : d['c_0011_4'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0011_4'], 'c_1001_2' : d['c_0011_3'], 'c_1001_9' : d['c_0011_5'], 'c_1001_8' : negation(d['c_0011_5']), 'c_1010_10' : negation(d['c_0011_7']), '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' : negation(d['1']), 's_2_3' : d['1'], 's_2_4' : negation(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' : negation(d['1']), 's_0_9' : d['1'], 's_0_6' : 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_1100_9' : negation(d['c_0101_10']), 'c_1100_8' : negation(d['c_0011_7']), 'c_1100_5' : negation(d['c_0011_10']), 'c_1100_4' : d['c_1001_5'], 'c_1100_7' : negation(d['c_0011_7']), 'c_1100_6' : negation(d['c_0011_10']), 'c_1100_1' : negation(d['c_0011_10']), 'c_1100_0' : d['c_1001_5'], 'c_1100_3' : d['c_1001_5'], 'c_1100_2' : negation(d['c_0011_7']), 'c_1100_10' : d['c_1001_5'], 'c_1010_7' : negation(d['c_0011_10']), 'c_1010_6' : d['c_0011_4'], 'c_1010_5' : negation(d['c_0011_7']), 'c_1010_4' : negation(d['c_1001_0']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_5'], 'c_1010_0' : d['c_0011_3'], 'c_1010_9' : d['c_0011_4'], 'c_1010_8' : d['c_0011_3'], 's_3_1' : d['1'], 's_3_0' : negation(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' : negation(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' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(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_4']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_7'], '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_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_10' : negation(d['c_0011_5']), 'c_0101_7' : d['c_0011_5'], 'c_0101_6' : d['c_0011_5'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_0']), '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' : negation(d['c_0011_0']), 'c_0110_8' : d['c_0101_1'], '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_5'], 'c_0110_5' : d['c_0101_10'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : negation(d['c_0101_10']), '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_5, c_0011_7, c_0101_0, c_0101_1, c_0101_10, c_1001_0, c_1001_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 1576145039945206/85813832557*c_1001_5^7 - 1584729083200311/85813832557*c_1001_5^6 + 116315849351914/13549552509*c_1001_5^5 + 3728027230737121/257441497671*c_1001_5^4 - 575689738016717/257441497671*c_1001_5^3 - 676917205314801/85813832557*c_1001_5^2 - 519953775346262/257441497671*c_1001_5 + 350020262891239/257441497671, c_0011_0 - 1, c_0011_10 + 39934819/2174539*c_1001_5^7 + 34805422/2174539*c_1001_5^6 - 21658198/2174539*c_1001_5^5 - 18374607/2174539*c_1001_5^4 + 8508983/2174539*c_1001_5^3 + 10115802/2174539*c_1001_5^2 + 2538036/2174539*c_1001_5 - 1891634/2174539, c_0011_3 + 16986787/4349078*c_1001_5^7 - 7083195/4349078*c_1001_5^6 - 13678057/2174539*c_1001_5^5 + 3694949/2174539*c_1001_5^4 + 24843951/4349078*c_1001_5^3 + 1570097/4349078*c_1001_5^2 - 933725/4349078*c_1001_5 - 208/2174539, c_0011_4 - 61530661/4349078*c_1001_5^7 - 18177725/2174539*c_1001_5^6 + 48303671/4349078*c_1001_5^5 + 11336198/2174539*c_1001_5^4 - 21996637/4349078*c_1001_5^3 - 8159218/2174539*c_1001_5^2 - 316781/2174539*c_1001_5 + 2561965/4349078, c_0011_5 + 15575565/2174539*c_1001_5^7 + 17204932/2174539*c_1001_5^6 - 1517950/2174539*c_1001_5^5 - 12542388/2174539*c_1001_5^4 - 5046906/2174539*c_1001_5^3 + 7036369/2174539*c_1001_5^2 + 4295526/2174539*c_1001_5 - 1935356/2174539, c_0011_7 + 10354241/2174539*c_1001_5^7 + 8036639/2174539*c_1001_5^6 - 2265051/2174539*c_1001_5^5 + 1598934/2174539*c_1001_5^4 - 2164113/2174539*c_1001_5^3 - 3149566/2174539*c_1001_5^2 + 2718173/2174539*c_1001_5 + 232849/2174539, c_0101_0 - 1, c_0101_1 + 57401241/4349078*c_1001_5^7 + 64748491/4349078*c_1001_5^6 - 1691848/2174539*c_1001_5^5 - 16436559/2174539*c_1001_5^4 + 1800121/4349078*c_1001_5^3 + 17004783/4349078*c_1001_5^2 + 5134471/4349078*c_1001_5 - 221351/2174539, c_0101_10 + 26598804/2174539*c_1001_5^7 + 43415829/2174539*c_1001_5^6 - 9912230/2174539*c_1001_5^5 - 34794592/2174539*c_1001_5^4 + 1549147/2174539*c_1001_5^3 + 17924270/2174539*c_1001_5^2 + 4976081/2174539*c_1001_5 - 2313194/2174539, c_1001_0 + 41173927/2174539*c_1001_5^7 + 26434467/2174539*c_1001_5^6 - 33448810/2174539*c_1001_5^5 - 21408937/2174539*c_1001_5^4 + 13466059/2174539*c_1001_5^3 + 8806791/2174539*c_1001_5^2 - 405853/2174539*c_1001_5 - 1100272/2174539, c_1001_5^8 + 38/47*c_1001_5^7 - 30/47*c_1001_5^6 - 31/47*c_1001_5^5 + 13/47*c_1001_5^4 + 18/47*c_1001_5^3 + 1/47*c_1001_5^2 - 4/47*c_1001_5 + 1/47 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.040 Total time: 0.250 seconds, Total memory usage: 32.09MB