Magma V2.19-8 Wed Aug 21 2013 00:52:40 on localhost [Seed = 2749740563] Type ? for help. Type -D to quit. Loading file "L12n1034__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n1034 geometric_solution 11.35096701 oriented_manifold CS_known -0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 0 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 1 0 -1 0 0 -1 1 0 0 0 0 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.606156794841 0.425561204423 0 5 7 6 0132 0132 0132 0132 0 1 1 1 0 -1 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 2 0 -2 0 0 0 0 4 0 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.512904780330 0.665637446454 8 0 9 3 0132 0132 0132 3012 0 0 1 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 -1 1 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 0 0 -0.071335831847 1.605185407368 10 10 2 0 0132 2310 1230 0132 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 3 0 -4 1 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.939905730185 0.684098741780 7 9 0 8 0132 1023 0132 1023 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 0 0 0 0 0 0 0 0 1 -1 0 0 -1 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 1.376071603569 0.637432352315 11 1 10 9 0132 0132 0213 0132 0 0 1 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 0 0 0 0 0 0 0 0 -2 0 2 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 -0.071335831847 1.605185407368 12 7 1 8 0132 0213 0132 1302 0 1 1 1 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 -3 2 1 0 0 0 0 0 0 0 0 0 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.684014043297 0.455392695625 4 12 6 1 0132 0132 0213 0132 0 1 1 1 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 -3 3 0 0 0 0 0 0 0 0 0 -1 -3 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.626293560097 0.502069624280 2 11 6 4 0132 0132 2031 1023 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 1 0 -1 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 0.363693598273 0.233485756007 4 11 5 2 1023 1230 0132 0132 0 0 1 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 3 -2 -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 0.605053703028 0.930541992130 3 5 12 3 0132 0213 0132 3201 0 1 0 1 0 0 0 0 1 0 0 -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 0 0 0 -3 0 0 3 0 0 0 0 -3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.127425705574 1.450583643358 5 8 9 12 0132 0132 3012 3012 1 0 1 1 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 -1 1 0 0 0 -3 3 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.830991603639 1.176067811916 6 7 11 10 0132 0132 1230 0132 0 1 1 1 0 -1 1 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 3 -3 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 0 0 0.553845901890 0.770466101697 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0011_12']), 'c_1001_10' : d['c_1001_10'], 'c_1001_12' : d['c_1001_1'], 'c_1001_5' : d['c_1001_10'], 'c_1001_4' : d['c_0101_11'], 'c_1001_7' : d['c_1001_10'], 'c_1001_6' : d['c_1001_10'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : negation(d['c_0101_3']), 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : d['c_0101_11'], 'c_1001_9' : d['c_1001_1'], 'c_1001_8' : negation(d['c_0101_12']), 'c_1010_12' : d['c_1001_10'], 'c_1010_11' : negation(d['c_0101_12']), 'c_1010_10' : negation(d['c_1001_3']), 's_3_11' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0101_0'], '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' : d['1'], 's_2_12' : d['1'], 's_2_10' : d['1'], 's_2_11' : negation(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' : negation(d['1']), 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : negation(d['c_1001_3']), 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_1001_3']), 'c_1100_4' : d['c_0101_8'], 'c_1100_7' : d['c_0101_8'], 'c_1100_6' : d['c_0101_8'], 'c_1100_1' : d['c_0101_8'], 'c_1100_0' : d['c_0101_8'], 'c_1100_3' : d['c_0101_8'], 'c_1100_2' : negation(d['c_1001_3']), 's_0_10' : d['1'], 'c_1100_11' : negation(d['c_1001_1']), 'c_1100_10' : d['c_0011_10'], 's_0_11' : negation(d['1']), 'c_1010_7' : d['c_1001_1'], 'c_1010_6' : d['c_0101_8'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_0101_2'], 'c_1010_3' : negation(d['c_0101_3']), 'c_1010_2' : negation(d['c_0101_3']), 'c_1010_1' : d['c_1001_10'], 'c_1010_0' : d['c_0101_11'], 'c_1010_9' : d['c_0101_11'], 'c_1010_8' : negation(d['c_0011_12']), 'c_1100_8' : negation(d['c_0101_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' : negation(d['1']), 's_3_8' : d['1'], 'c_1100_12' : d['c_0011_10'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : negation(d['1']), 's_1_0' : negation(d['1']), 's_1_9' : negation(d['1']), 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_12'], 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_12'], 'c_0011_7' : negation(d['c_0011_12']), 'c_0011_6' : negation(d['c_0011_12']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0011_10'], 'c_0110_10' : d['c_0101_3'], 'c_0110_12' : d['c_0101_0'], 'c_0101_12' : d['c_0101_12'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : negation(d['c_0011_12']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0011_10'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], '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_11'], 'c_0101_8' : d['c_0101_8'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_2'], 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : negation(d['c_0011_0']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_8'], 'c_0110_5' : d['c_0101_11'], 'c_0110_4' : negation(d['c_0011_12']), 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0101_12']})} 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_12, c_0101_0, c_0101_1, c_0101_11, c_0101_12, c_0101_2, c_0101_3, c_0101_8, c_1001_1, c_1001_10, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 13685/88*c_1001_3^5 - 3584/11*c_1001_3^4 + 3781/22*c_1001_3^3 - 15394/11*c_1001_3^2 + 27122/11*c_1001_3 - 30220/11, c_0011_0 - 1, c_0011_10 + 1, c_0011_12 - 7/176*c_1001_3^5 + 9/176*c_1001_3^4 + 7/176*c_1001_3^3 + 41/88*c_1001_3^2 - 8/11*c_1001_3 - 1/22, c_0101_0 + 5/176*c_1001_3^5 + 3/176*c_1001_3^4 - 27/176*c_1001_3^3 - 3/22*c_1001_3^2 + 1/11*c_1001_3 + 9/11, c_0101_1 + 17/176*c_1001_3^5 - 25/176*c_1001_3^4 + 5/176*c_1001_3^3 - 49/44*c_1001_3^2 + 51/44*c_1001_3 - 7/22, c_0101_11 - 2/11*c_1001_3^5 + 15/44*c_1001_3^4 - 3/44*c_1001_3^3 + 67/44*c_1001_3^2 - 35/11*c_1001_3 + 26/11, c_0101_12 + 1/88*c_1001_3^5 - 3/44*c_1001_3^4 + 5/44*c_1001_3^3 - 29/88*c_1001_3^2 + 7/11*c_1001_3 - 17/22, c_0101_2 + 3/88*c_1001_3^5 - 7/88*c_1001_3^4 + 19/88*c_1001_3^3 - 4/11*c_1001_3^2 + 9/22*c_1001_3 - 9/11, c_0101_3 + 1, c_0101_8 - 9/88*c_1001_3^5 + 21/88*c_1001_3^4 - 13/88*c_1001_3^3 + 13/22*c_1001_3^2 - 19/11*c_1001_3 + 16/11, c_1001_1 - 3/88*c_1001_3^5 + 7/88*c_1001_3^4 - 19/88*c_1001_3^3 + 4/11*c_1001_3^2 - 9/22*c_1001_3 + 9/11, c_1001_10 + 9/88*c_1001_3^5 - 21/88*c_1001_3^4 + 13/88*c_1001_3^3 - 13/22*c_1001_3^2 + 19/11*c_1001_3 - 16/11, c_1001_3^6 - 3*c_1001_3^5 + 3*c_1001_3^4 - 10*c_1001_3^3 + 24*c_1001_3^2 - 32*c_1001_3 + 16 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.390 Total time: 0.600 seconds, Total memory usage: 32.09MB