Magma V2.19-8 Tue Aug 20 2013 18:03:42 on localhost [Seed = 458927752] Type ? for help. Type -D to quit. Loading file "9^3_4__sl2_c7.magma" ==TRIANGULATION=BEGINS== % Triangulation 9^3_4 geometric_solution 12.27656278 oriented_manifold CS_known -0.0000000000000002 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 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 0 0 0 0 -1 0 1 0 0 -1 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 0.676092120760 0.978274829085 0 5 5 6 0132 0132 1302 0132 0 2 2 0 0 0 0 0 1 0 -1 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 0 0 0 -1 4 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.198082794016 1.144513757835 4 0 8 7 0213 0132 0132 0132 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 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 0.516665963123 0.507152355819 9 10 8 0 0132 0132 0321 0132 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 0 0 0 0 0 0 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 0.534115659911 1.035112525283 2 5 0 6 0213 0321 0132 0321 0 2 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 -1 1 1 0 -1 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 0.336513439400 0.341170662744 1 1 8 4 2031 0132 0213 0321 0 0 0 2 0 0 0 0 0 0 0 0 1 -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 0 3 -4 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.853179402524 0.848323018563 7 4 1 8 0213 0321 0132 2310 0 2 0 2 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 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 -0.106244586876 0.559865424330 6 11 2 12 0213 0132 0132 0132 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 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 0.606323501408 0.762942383435 6 5 3 2 3201 0213 0321 0132 0 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 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 -0.201070399966 1.285055776428 3 12 11 12 0132 2103 1302 2310 1 2 0 2 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 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 0.482103104558 0.791264748372 11 3 11 12 2103 0132 0132 0213 0 1 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 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 0.482103104558 0.791264748372 9 7 10 10 2031 0132 2103 0132 0 1 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 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 0.579097612659 0.884769788729 9 9 7 10 3201 2103 0132 0213 0 0 1 2 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 1 0 1 0 -1 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 0.579097612659 0.884769788729 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_10'], 'c_1001_10' : d['c_1001_0'], 'c_1001_12' : d['c_0011_10'], 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : d['c_1001_5'], 'c_1001_1' : negation(d['c_0011_4']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_0011_12'], 'c_1001_8' : d['c_1001_5'], 'c_1010_12' : negation(d['c_0110_10']), 'c_1010_11' : d['c_1001_0'], 'c_1010_10' : d['c_1001_3'], 's_0_10' : negation(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' : negation(d['1']), 'c_0101_11' : d['c_0011_12'], 'c_0101_10' : d['c_0011_12'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : 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_12' : d['1'], 's_2_10' : d['1'], 's_2_11' : negation(d['1']), 's_0_8' : d['1'], 's_0_9' : negation(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' : negation(d['1']), 's_0_3' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : d['c_0011_12'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_1001_2'], 'c_1100_4' : d['c_1001_5'], 'c_1100_7' : d['c_1001_3'], 'c_1100_6' : d['c_0011_8'], 'c_1100_1' : d['c_0011_8'], 'c_1100_0' : d['c_1001_5'], 'c_1100_3' : d['c_1001_5'], 'c_1100_2' : d['c_1001_3'], 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0110_10']), 'c_1100_10' : negation(d['c_0110_10']), 's_0_11' : negation(d['1']), 'c_1010_7' : d['c_0011_10'], 'c_1010_6' : negation(d['c_0011_4']), 'c_1010_5' : negation(d['c_0011_4']), 'c_1010_4' : negation(d['c_0011_4']), '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_1001_2'], 'c_1010_9' : d['c_0110_10'], 'c_1010_8' : d['c_1001_2'], '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' : d['1'], 'c_1100_12' : d['c_1001_3'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : negation(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' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_11']), 'c_0110_6' : negation(d['c_0101_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_12'], 'c_0110_10' : d['c_0110_10'], 'c_0110_12' : negation(d['c_0110_10']), 'c_0101_12' : d['c_0101_12'], 'c_0110_0' : negation(d['c_0011_0']), 'c_0011_6' : d['c_0011_6'], 'c_0101_7' : d['c_0011_6'], 'c_0101_6' : negation(d['c_0011_11']), 'c_0101_5' : d['c_0011_8'], 'c_0101_4' : negation(d['c_0011_0']), 'c_0101_3' : negation(d['c_0101_12']), 'c_0101_2' : d['c_0011_4'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : negation(d['c_0011_11']), 'c_0101_9' : negation(d['c_0011_11']), 'c_0101_8' : d['c_0101_12'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : negation(d['1']), 'c_0110_9' : negation(d['c_0101_12']), 'c_0110_8' : d['c_0011_4'], 'c_0110_1' : negation(d['c_0011_11']), 'c_0011_11' : d['c_0011_11'], 'c_0110_3' : negation(d['c_0011_11']), 'c_0110_2' : d['c_0011_6'], 'c_0110_5' : negation(d['c_0011_4']), 'c_0110_4' : negation(d['c_0011_6']), 'c_0110_7' : d['c_0101_12'], 'c_1100_8' : d['c_1001_3']})} 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_11, c_0011_12, c_0011_4, c_0011_6, c_0011_8, c_0101_12, c_0110_10, c_1001_0, c_1001_2, c_1001_3, c_1001_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 735/256*c_1001_5^7 + 1271/512*c_1001_5^6 + 1331/128*c_1001_5^5 + 5879/512*c_1001_5^4 + 4545/256*c_1001_5^3 + 6899/512*c_1001_5^2 + 4443/512*c_1001_5 + 1307/512, c_0011_0 - 1, c_0011_10 + 18*c_1001_5^7 + 21*c_1001_5^6 + 74*c_1001_5^5 + 91*c_1001_5^4 + 140*c_1001_5^3 + 121*c_1001_5^2 + 83*c_1001_5 + 23, c_0011_11 + 1, c_0011_12 - 1, c_0011_4 - 2*c_1001_5^7 - 3*c_1001_5^6 - 9*c_1001_5^5 - 13*c_1001_5^4 - 19*c_1001_5^3 - 19*c_1001_5^2 - 14*c_1001_5 - 5, c_0011_6 + c_1001_5, c_0011_8 + 2*c_1001_5^7 + 3*c_1001_5^6 + 9*c_1001_5^5 + 13*c_1001_5^4 + 19*c_1001_5^3 + 19*c_1001_5^2 + 13*c_1001_5 + 5, c_0101_12 + 8*c_1001_5^7 + 10*c_1001_5^6 + 33*c_1001_5^5 + 43*c_1001_5^4 + 63*c_1001_5^3 + 57*c_1001_5^2 + 38*c_1001_5 + 11, c_0110_10 - 10*c_1001_5^7 - 11*c_1001_5^6 - 41*c_1001_5^5 - 48*c_1001_5^4 - 77*c_1001_5^3 - 64*c_1001_5^2 - 45*c_1001_5 - 12, c_1001_0 - 8*c_1001_5^7 - 10*c_1001_5^6 - 33*c_1001_5^5 - 43*c_1001_5^4 - 63*c_1001_5^3 - 57*c_1001_5^2 - 38*c_1001_5 - 11, c_1001_2 - 8*c_1001_5^7 - 10*c_1001_5^6 - 33*c_1001_5^5 - 43*c_1001_5^4 - 63*c_1001_5^3 - 57*c_1001_5^2 - 37*c_1001_5 - 11, c_1001_3 - 12*c_1001_5^7 - 12*c_1001_5^6 - 47*c_1001_5^5 - 54*c_1001_5^4 - 84*c_1001_5^3 - 70*c_1001_5^2 - 46*c_1001_5 - 13, c_1001_5^8 + 3/2*c_1001_5^7 + 9/2*c_1001_5^6 + 13/2*c_1001_5^5 + 19/2*c_1001_5^4 + 19/2*c_1001_5^3 + 7*c_1001_5^2 + 3*c_1001_5 + 1/2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.230 seconds, Total memory usage: 32.09MB