Magma V2.19-8 Tue Aug 20 2013 23:44:08 on localhost [Seed = 3019232850] Type ? for help. Type -D to quit. Loading file "L14n1870__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n1870 geometric_solution 10.24919497 oriented_manifold CS_known -0.0000000000000003 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 11 1 2 1 2 0132 0132 2031 1230 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 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 -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 0.660718174586 1.011010831533 0 3 4 0 0132 0132 0132 1302 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 1 0 -1 1 0 -1 0 0 0 0 0 1 -8 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.547047325366 0.693094390076 0 0 5 4 3012 0132 0132 1302 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 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 1 0 -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 0.298333977825 0.888992160507 4 1 5 6 0321 0132 3120 0132 1 1 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 0 1 0 0 0 0 0 8 0 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.863494371116 0.597852210641 3 7 2 1 0321 0132 2031 0132 1 1 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 0 0 0 0 0 -1 1 0 7 0 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.776789801512 1.458005133219 8 7 3 2 0132 2310 3120 0132 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 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 -0.621538017008 0.737662561777 9 10 3 9 0132 0132 0132 2031 1 1 0 1 0 0 0 0 0 0 0 0 5 -2 0 -3 -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 2 -1 0 -1 -8 0 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.642892072117 1.132641720614 9 4 10 5 3012 0132 0132 3201 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 0 0 1 -1 0 0 0 0 7 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.130432949116 1.456332765463 5 10 9 10 0132 3201 3120 3120 0 1 1 1 0 0 -2 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 -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 0 0 0 0.253195605753 0.803062279383 6 6 8 7 0132 1302 3120 1230 1 1 1 0 0 0 0 0 0 0 0 0 1 0 0 -1 -5 3 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 8 -1 0 -7 -2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.620978177054 0.667757386209 8 6 8 7 3120 0132 2310 0132 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 -2 2 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.253195605753 0.803062279383 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0101_10'], 'c_1001_10' : d['c_0011_10'], 'c_1001_5' : d['c_0110_2'], 'c_1001_4' : negation(d['c_0110_2']), 'c_1001_7' : d['c_1001_1'], 'c_1001_6' : d['c_1001_1'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : negation(d['c_0101_0']), 'c_1001_3' : negation(d['c_0110_2']), 'c_1001_2' : d['c_0101_2'], 'c_1001_9' : d['c_0101_10'], 'c_1001_8' : negation(d['c_0101_10']), 'c_1010_10' : d['c_1001_1'], 's_0_10' : negation(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' : 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_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' : negation(d['1']), 's_0_2' : d['1'], 's_0_3' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : negation(d['c_0101_2']), 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : negation(d['c_0101_3']), 'c_1100_4' : d['c_0101_0'], 'c_1100_7' : negation(d['c_0011_5']), 'c_1100_6' : negation(d['c_0101_5']), 'c_1100_1' : d['c_0101_0'], 'c_1100_0' : d['c_0110_2'], 'c_1100_3' : negation(d['c_0101_5']), 'c_1100_2' : negation(d['c_0101_3']), 'c_1100_10' : negation(d['c_0011_5']), 'c_1010_7' : negation(d['c_0110_2']), 'c_1010_6' : d['c_0011_10'], 'c_1010_5' : d['c_0101_2'], 'c_1010_4' : d['c_1001_1'], 'c_1010_3' : d['c_1001_1'], 'c_1010_2' : negation(d['c_0101_0']), 'c_1010_1' : negation(d['c_0110_2']), 'c_1010_0' : d['c_0101_2'], 'c_1010_9' : d['c_0101_5'], 'c_1010_8' : negation(d['c_0011_10']), 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : negation(d['1']), 's_3_4' : negation(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' : negation(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' : d['c_0011_10'], 'c_0011_8' : negation(d['c_0011_5']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_4']), 'c_0011_6' : negation(d['c_0011_10']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_0'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_10' : d['c_0101_5'], 'c_0101_7' : d['c_0101_5'], 'c_0101_6' : negation(d['c_0011_4']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0101_3']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_10'], 'c_0101_8' : d['c_0101_2'], 's_1_10' : negation(d['1']), 'c_0110_9' : negation(d['c_0011_4']), 'c_0110_8' : d['c_0101_5'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_0']), 'c_0110_3' : negation(d['c_0011_4']), 'c_0110_2' : d['c_0110_2'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : negation(d['c_0011_0']), 'c_0110_7' : negation(d['c_0101_2']), 'c_1100_8' : negation(d['c_0101_10'])})} 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_4, c_0011_5, c_0101_0, c_0101_10, c_0101_2, c_0101_3, c_0101_5, c_0110_2, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 1367073/158420000*c_1001_1^9 - 7846991/158420000*c_1001_1^8 - 9925021/79210000*c_1001_1^7 - 2841013/15842000*c_1001_1^6 - 7174963/31684000*c_1001_1^5 - 58629329/158420000*c_1001_1^4 - 30703233/79210000*c_1001_1^3 - 19554391/79210000*c_1001_1^2 - 48179157/158420000*c_1001_1 - 30498959/158420000, c_0011_0 - 1, c_0011_10 + 1, c_0011_4 - c_1001_1^3 + c_1001_1 - 1, c_0011_5 - c_1001_1^3 + c_1001_1 - 1, c_0101_0 - 1/4*c_1001_1^9 - 1/2*c_1001_1^8 + 1/4*c_1001_1^7 + 1/4*c_1001_1^6 - c_1001_1^5 + 3/4*c_1001_1^3 + 1/4*c_1001_1 + 1/4, c_0101_10 - 1/2*c_1001_1^5 - 1/2*c_1001_1^4 + 1/2*c_1001_1^3 - 1/2*c_1001_1^2 - 1/2*c_1001_1 + 1/2, c_0101_2 - c_1001_1, c_0101_3 - 1/4*c_1001_1^8 - 1/4*c_1001_1^7 + 1/2*c_1001_1^6 - c_1001_1^4 + 1/4*c_1001_1^2 - 5/4*c_1001_1, c_0101_5 + 1/2*c_1001_1^6 + 1/2*c_1001_1^5 - 1/2*c_1001_1^4 + 3/2*c_1001_1^3 + 1/2*c_1001_1^2 - 3/2*c_1001_1 + 1, c_0110_2 - 1/4*c_1001_1^9 - 1/2*c_1001_1^8 - 1/2*c_1001_1^5 - 1/4*c_1001_1^3 + 1/2*c_1001_1 - 1, c_1001_1^10 + 2*c_1001_1^9 - c_1001_1^8 + 5*c_1001_1^6 - 2*c_1001_1^5 - 3*c_1001_1^4 + 4*c_1001_1^3 - c_1001_1^2 - 2*c_1001_1 + 5 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB