Magma V2.19-8 Tue Aug 20 2013 23:44:57 on localhost [Seed = 1545222655] Type ? for help. Type -D to quit. Loading file "K13n2148__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K13n2148 geometric_solution 10.42726879 oriented_manifold CS_known 0.0000000000000006 1 0 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 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 -1 0 1 3 0 0 -3 0 1 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.145716169314 0.852761774353 0 5 6 4 0132 0132 0132 3201 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 -3 0 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.794140087689 0.432683062712 7 0 8 7 0132 0132 0132 2031 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 1 0 -1 -2 0 0 2 0 -1 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.502952886016 0.976732946296 4 5 9 0 3201 2031 0132 0132 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 0 0 -1 0 0 1 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.215228147387 0.365847592263 10 1 0 3 0132 2310 0132 2310 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 -1 1 -3 0 3 0 3 -3 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.739586320357 1.221860025571 3 1 8 11 1302 0132 2310 0132 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 2 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 0.767116120559 0.797684205126 11 11 8 1 3120 0132 1302 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.637445218365 0.598971590694 2 2 9 10 0132 1302 1302 3201 0 0 0 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 -2 2 0 2 0 -3 1 -1 1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.583292572648 0.809244532793 6 5 9 2 2031 3201 0321 0132 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 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 -0.242809030321 0.976483708969 7 10 8 3 2031 0213 0321 0132 0 0 0 0 0 0 0 0 1 0 -1 0 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 0 0 0 -2 0 2 0 -1 3 0 -2 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.195341460449 0.801975554726 4 7 9 11 0132 2310 0213 3120 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 3 0 -3 0 1 -1 0 0 -3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.320956427338 0.483953407011 10 6 5 6 3120 0132 0132 3120 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.227887094866 0.751706272161 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_1'], 'c_1001_10' : d['c_1001_10'], 'c_1001_5' : negation(d['c_1001_2']), 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : negation(d['c_0011_9']), 'c_1001_6' : d['c_0011_11'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0011_0'], 'c_1001_3' : negation(d['c_0101_11']), 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_1001_10'], 'c_1001_8' : d['c_0011_3'], 'c_1010_11' : d['c_0011_11'], 'c_1010_10' : negation(d['c_0011_11']), 's_0_10' : 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_9'], '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_1100_8' : d['c_1001_10'], 'c_1100_5' : d['c_0011_8'], 'c_1100_4' : d['c_0011_3'], 'c_1100_7' : negation(d['c_0011_10']), 'c_1100_6' : d['c_0011_10'], 'c_1100_1' : d['c_0011_10'], 'c_1100_0' : d['c_0011_3'], 'c_1100_3' : d['c_0011_3'], 'c_1100_2' : d['c_1001_10'], 's_3_11' : d['1'], 'c_1100_9' : d['c_0011_3'], 'c_1100_11' : d['c_0011_8'], 'c_1100_10' : negation(d['c_0101_11']), 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_1001_10']), 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : negation(d['c_0101_0']), 'c_1010_3' : d['c_0011_0'], 'c_1010_2' : d['c_0011_0'], 'c_1010_1' : negation(d['c_1001_2']), 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : negation(d['c_0101_11']), 'c_1010_8' : d['c_1001_2'], '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_9'], 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : d['c_0011_0'], '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_1'], 'c_0110_10' : d['c_0101_1'], 'c_0101_7' : negation(d['c_0011_9']), 'c_0101_6' : negation(d['c_0011_8']), 'c_0101_5' : negation(d['c_0011_3']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_9']), 'c_0101_2' : d['c_0011_11'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_10']), 'c_0101_8' : d['c_0011_10'], 'c_0011_10' : d['c_0011_10'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_9']), 'c_0110_8' : d['c_0011_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' : negation(d['c_0011_9']), 'c_0110_5' : d['c_0101_11'], 'c_0110_4' : d['c_0011_9'], 'c_0110_7' : d['c_0011_11'], 'c_0110_6' : d['c_0101_1']})} 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_8, c_0011_9, c_0101_0, c_0101_1, c_0101_11, c_1001_1, c_1001_10, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t - 768333/74648*c_1001_2^13 + 730533/18662*c_1001_2^12 - 1621649/18662*c_1001_2^11 + 9902335/74648*c_1001_2^10 - 6470721/37324*c_1001_2^9 + 2234245/10664*c_1001_2^8 - 8449225/37324*c_1001_2^7 + 15570167/74648*c_1001_2^6 - 3300827/18662*c_1001_2^5 + 252339/1736*c_1001_2^4 - 3867285/37324*c_1001_2^3 + 723365/18662*c_1001_2^2 - 2227/434*c_1001_2 - 202159/74648, c_0011_0 - 1, c_0011_10 + c_1001_2^12 - 2*c_1001_2^11 + 3*c_1001_2^10 - 3*c_1001_2^9 + 4*c_1001_2^8 - 5*c_1001_2^7 + 4*c_1001_2^6 - 3*c_1001_2^5 + 4*c_1001_2^4 - 3*c_1001_2^3 + 2*c_1001_2^2 + 2, c_0011_11 + 2*c_1001_2^13 - 5*c_1001_2^12 + 9*c_1001_2^11 - 12*c_1001_2^10 + 17*c_1001_2^9 - 21*c_1001_2^8 + 21*c_1001_2^7 - 19*c_1001_2^6 + 19*c_1001_2^5 - 15*c_1001_2^4 + 9*c_1001_2^3 - 4*c_1001_2^2 + 5*c_1001_2 - 1, c_0011_3 - 2*c_1001_2^13 + 4*c_1001_2^12 - 7*c_1001_2^11 + 9*c_1001_2^10 - 13*c_1001_2^9 + 15*c_1001_2^8 - 14*c_1001_2^7 + 13*c_1001_2^6 - 14*c_1001_2^5 + 9*c_1001_2^4 - 6*c_1001_2^3 + 2*c_1001_2^2 - 4*c_1001_2 - 1, c_0011_8 - c_1001_2^13 + 2*c_1001_2^12 - 3*c_1001_2^11 + 3*c_1001_2^10 - 4*c_1001_2^9 + 4*c_1001_2^8 - 3*c_1001_2^7 + 2*c_1001_2^6 - 3*c_1001_2^5 + c_1001_2^4 - c_1001_2^2 - c_1001_2 - 1, c_0011_9 + 2*c_1001_2^13 - 5*c_1001_2^12 + 9*c_1001_2^11 - 12*c_1001_2^10 + 17*c_1001_2^9 - 21*c_1001_2^8 + 21*c_1001_2^7 - 19*c_1001_2^6 + 19*c_1001_2^5 - 15*c_1001_2^4 + 10*c_1001_2^3 - 4*c_1001_2^2 + 5*c_1001_2 - 1, c_0101_0 - 2*c_1001_2^13 + 4*c_1001_2^12 - 7*c_1001_2^11 + 9*c_1001_2^10 - 13*c_1001_2^9 + 15*c_1001_2^8 - 14*c_1001_2^7 + 13*c_1001_2^6 - 14*c_1001_2^5 + 9*c_1001_2^4 - 6*c_1001_2^3 + 2*c_1001_2^2 - 4*c_1001_2 - 1, c_0101_1 + c_1001_2^12 - 2*c_1001_2^11 + 4*c_1001_2^10 - 6*c_1001_2^9 + 9*c_1001_2^8 - 11*c_1001_2^7 + 11*c_1001_2^6 - 11*c_1001_2^5 + 11*c_1001_2^4 - 8*c_1001_2^3 + 6*c_1001_2^2 - 3*c_1001_2 + 3, c_0101_11 - c_1001_2^13 + c_1001_2^12 - c_1001_2^11 - c_1001_2^9 + c_1001_2^8 - 2*c_1001_2^5 - c_1001_2^2 - 2*c_1001_2 - 1, c_1001_1 - c_1001_2^5 + 2*c_1001_2^4 - 2*c_1001_2^3 + 2*c_1001_2^2 - 2*c_1001_2 + 1, c_1001_10 - 3*c_1001_2^13 + 8*c_1001_2^12 - 15*c_1001_2^11 + 21*c_1001_2^10 - 30*c_1001_2^9 + 38*c_1001_2^8 - 40*c_1001_2^7 + 38*c_1001_2^6 - 38*c_1001_2^5 + 31*c_1001_2^4 - 21*c_1001_2^3 + 11*c_1001_2^2 - 10*c_1001_2 + 3, c_1001_2^14 - 3*c_1001_2^13 + 6*c_1001_2^12 - 9*c_1001_2^11 + 13*c_1001_2^10 - 17*c_1001_2^9 + 19*c_1001_2^8 - 19*c_1001_2^7 + 19*c_1001_2^6 - 17*c_1001_2^5 + 13*c_1001_2^4 - 8*c_1001_2^3 + 6*c_1001_2^2 - 3*c_1001_2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.480 Total time: 0.690 seconds, Total memory usage: 32.09MB