Magma V2.19-8 Tue Aug 20 2013 17:56:33 on localhost [Seed = 1107555942] Type ? for help. Type -D to quit. Loading file "9^2_15__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation 9^2_15 geometric_solution 10.24919497 oriented_manifold CS_known 0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 11 1 2 3 1 0132 0132 0132 2031 1 0 1 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 1 0 -1 -1 0 1 0 -3 -1 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.368493361424 1.259415250383 0 0 5 4 0132 1302 0132 0132 0 0 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 -1 0 0 1 0 -1 3 -4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.785997829429 0.731404213609 6 0 6 3 0132 0132 3012 3201 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 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 0.660718174586 1.011010831533 7 2 8 0 0132 2310 0132 0132 1 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 0 0 0 0 0 0 0 0 0 0 0 -1 0 2 -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 -0.006132360528 0.546500162405 5 8 1 9 1023 1230 0132 0132 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.682502227627 1.408323931997 10 4 7 1 0132 1023 1023 0132 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 0 0 0 0 0 0 0 0 0 0 0 1 0 -2 1 1 0 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.279606617923 0.874720345157 2 2 8 10 0132 1230 3012 3201 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 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 0.298333977825 0.888992160507 3 8 5 9 0132 1023 1023 1023 0 0 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 -2 2 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 0.331556343575 1.037239681397 7 6 4 3 1023 1230 3012 0132 1 0 1 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 0 0 0 0 0 0 0 2 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 0.132101438282 1.144298045052 10 10 4 7 2103 1302 0132 1023 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 -1 0 1 0 0 0 0 1 0 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.174834867930 0.568884877370 5 6 9 9 0132 2310 2103 2031 1 0 1 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 0 0 0 0 1 -1 0 -1 0 0 1 1 0 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.174834867930 0.568884877370 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : d['c_0011_9'], 'c_1001_5' : d['c_0101_0'], 'c_1001_4' : d['c_1001_4'], 'c_1001_7' : d['c_0101_5'], 'c_1001_6' : d['c_0011_3'], 'c_1001_1' : d['c_0101_1'], 'c_1001_0' : negation(d['c_0101_6']), 'c_1001_3' : d['c_0101_6'], 'c_1001_2' : negation(d['c_0011_0']), 'c_1001_9' : d['c_0101_5'], 'c_1001_8' : d['c_0011_10'], 'c_1010_10' : d['c_0011_9'], '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_1'], 's_2_0' : negation(d['1']), 's_2_1' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : negation(d['1']), 's_2_6' : d['1'], 's_2_7' : negation(d['1']), 's_2_10' : d['1'], 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : negation(d['1']), 's_0_4' : d['1'], 's_0_5' : 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' : d['c_1100_1'], 'c_1100_8' : negation(d['c_1001_4']), 'c_1100_5' : d['c_1100_1'], 'c_1100_4' : d['c_1100_1'], 'c_1100_7' : negation(d['c_1100_1']), 'c_1100_6' : negation(d['c_0011_10']), 'c_1100_1' : d['c_1100_1'], 'c_1100_0' : negation(d['c_1001_4']), 'c_1100_3' : negation(d['c_1001_4']), 'c_1100_2' : negation(d['c_0011_3']), 'c_1100_10' : negation(d['c_0101_3']), 'c_1010_7' : d['c_0101_3'], 'c_1010_6' : negation(d['c_0011_9']), 'c_1010_5' : d['c_0101_1'], 'c_1010_4' : d['c_0101_5'], 'c_1010_3' : negation(d['c_0101_6']), 'c_1010_2' : negation(d['c_0101_6']), 'c_1010_1' : d['c_1001_4'], 'c_1010_0' : negation(d['c_0011_0']), 'c_1010_9' : d['c_0101_3'], 'c_1010_8' : d['c_0101_6'], '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' : 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' : negation(d['c_0011_3']), 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : negation(d['c_0011_3']), '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' : d['c_0101_5'], 'c_0101_7' : d['c_0101_0'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0011_9']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_1'], 'c_0101_8' : d['c_0101_5'], 'c_0011_10' : d['c_0011_10'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_3'], 'c_0110_8' : d['c_0101_3'], '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' : d['c_0101_1'], 'c_0110_4' : d['c_0101_1'], 'c_0110_7' : d['c_0101_3'], 'c_0110_6' : negation(d['c_0011_9'])})} 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_9, c_0101_0, c_0101_1, c_0101_3, c_0101_5, c_0101_6, c_1001_4, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 1467/125*c_1100_1^9 - 5172/125*c_1100_1^8 - 78*c_1100_1^7 - 12887/125*c_1100_1^6 - 7533/50*c_1100_1^5 - 44443/250*c_1100_1^4 - 35527/250*c_1100_1^3 - 37577/500*c_1100_1^2 - 10223/400*c_1100_1 - 4459/1000, c_0011_0 - 1, c_0011_10 - 38*c_1100_1^9 - 128*c_1100_1^8 - 221*c_1100_1^7 - 270*c_1100_1^6 - 805/2*c_1100_1^5 - 466*c_1100_1^4 - 1215/4*c_1100_1^3 - 247/2*c_1100_1^2 - 61/2*c_1100_1 - 2, c_0011_3 + 2*c_1100_1^9 - 4*c_1100_1^8 - 25*c_1100_1^7 - 48*c_1100_1^6 - 105/2*c_1100_1^5 - 85*c_1100_1^4 - 451/4*c_1100_1^3 - 71*c_1100_1^2 - 45/2*c_1100_1 - 5, c_0011_9 - 2*c_1100_1^9 - 14*c_1100_1^8 - 37*c_1100_1^7 - 57*c_1100_1^6 - 143/2*c_1100_1^5 - 197/2*c_1100_1^4 - 419/4*c_1100_1^3 - 231/4*c_1100_1^2 - 17*c_1100_1 - 7/2, c_0101_0 - 1, c_0101_1 - 14*c_1100_1^9 - 46*c_1100_1^8 - 79*c_1100_1^7 - 97*c_1100_1^6 - 293/2*c_1100_1^5 - 333/2*c_1100_1^4 - 437/4*c_1100_1^3 - 191/4*c_1100_1^2 - 13*c_1100_1 - 3/2, c_0101_3 + 14*c_1100_1^9 + 50*c_1100_1^8 + 91*c_1100_1^7 + 115*c_1100_1^6 + 333/2*c_1100_1^5 + 399/2*c_1100_1^4 + 577/4*c_1100_1^3 + 249/4*c_1100_1^2 + 17*c_1100_1 + 5/2, c_0101_5 - 10*c_1100_1^9 - 37*c_1100_1^8 - 69*c_1100_1^7 - 179/2*c_1100_1^6 - 257/2*c_1100_1^5 - 627/4*c_1100_1^4 - 475/4*c_1100_1^3 - 457/8*c_1100_1^2 - 77/4*c_1100_1 - 13/4, c_0101_6 + 14*c_1100_1^9 + 40*c_1100_1^8 + 63*c_1100_1^7 + 74*c_1100_1^6 + 245/2*c_1100_1^5 + 124*c_1100_1^4 + 281/4*c_1100_1^3 + 69/2*c_1100_1^2 + 23/2*c_1100_1 + 2, c_1001_4 - 6*c_1100_1^9 - 19*c_1100_1^8 - 33*c_1100_1^7 - 81/2*c_1100_1^6 - 123/2*c_1100_1^5 - 269/4*c_1100_1^4 - 187/4*c_1100_1^3 - 155/8*c_1100_1^2 - 15/4*c_1100_1 + 1/4, c_1100_1^10 + 4*c_1100_1^9 + 8*c_1100_1^8 + 11*c_1100_1^7 + 31/2*c_1100_1^6 + 39/2*c_1100_1^5 + 33/2*c_1100_1^4 + 37/4*c_1100_1^3 + 57/16*c_1100_1^2 + 7/8*c_1100_1 + 1/8 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.240 seconds, Total memory usage: 32.09MB