Magma V2.19-8 Wed Aug 21 2013 00:32:29 on localhost [Seed = 3684551474] Type ? for help. Type -D to quit. Loading file "K14n1953__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K14n1953 geometric_solution 11.80144143 oriented_manifold CS_known -0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 0 0 0 0 0 -1 1 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 19 -18 -1 0 0 -18 18 19 0 0 -19 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.442753863674 0.570588447447 0 5 6 2 0132 0132 0132 3120 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 -18 0 18 0 0 0 0 0 1 0 -1 -19 19 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.498182859239 0.473570047548 1 0 8 7 3120 0132 0132 0132 0 0 0 0 0 1 0 -1 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 -19 0 19 0 0 -19 19 1 0 0 -1 -18 0 18 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.050273052287 0.910408704350 9 10 8 0 0132 0132 0321 0132 0 0 0 0 0 1 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 0 0 0 0 -18 0 18 -18 0 0 18 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.387470010464 1.333506842351 11 7 0 10 0132 2310 0132 1230 0 0 0 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 -1 1 0 18 0 -18 0 0 -19 0 19 0 -19 19 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.251016529346 0.822164444929 9 1 9 11 3120 0132 2310 1302 0 0 0 0 0 -1 0 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 18 0 -18 18 0 -18 0 0 -19 0 19 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.482637210596 0.618477089279 12 12 11 1 0132 3201 2031 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 0.154011293485 1.220685739760 9 10 2 4 2103 0213 0132 3201 0 0 0 0 0 0 1 -1 0 0 1 -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 -19 19 0 0 -19 19 -1 0 0 1 18 -19 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.893142027972 1.076793395089 11 10 3 2 1023 1302 0321 0132 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 0 0 0 -19 0 0 19 0 18 0 -18 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.653698318760 0.503148714559 3 5 7 5 0132 3201 2103 3120 0 0 0 0 0 0 0 0 -1 0 0 1 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 -1 18 0 0 -18 0 0 0 0 0 18 -18 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.482637210596 0.618477089279 4 3 7 8 3012 0132 0213 2031 0 0 0 0 0 -1 0 1 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 18 0 -18 0 0 0 0 0 0 0 0 -19 0 19 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.219571342201 0.580991060407 4 8 5 6 0132 1023 2031 1302 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 19 -19 0 -18 0 18 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.591763461217 0.552264032731 6 12 6 12 0132 2310 2310 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.676205189770 0.596250613733 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0101_3']), 'c_1001_10' : d['c_1001_0'], 'c_1001_12' : d['c_0101_6'], 'c_1001_5' : d['c_0011_0'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : negation(d['c_0101_1']), 'c_1001_1' : negation(d['c_0101_6']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0011_11'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_0011_7'], 'c_1001_8' : d['c_0110_10'], 'c_1010_12' : negation(d['c_0101_6']), 'c_1010_11' : d['c_0101_2'], 'c_1010_10' : d['c_0011_11'], 's_0_10' : d['1'], 's_0_11' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 'c_0101_12' : d['c_0101_1'], 'c_0101_11' : d['c_0011_10'], 'c_0101_10' : d['c_0011_7'], '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_12' : 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_0011_11'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0011_10'], 'c_1100_4' : d['c_0110_10'], 'c_1100_7' : d['c_0011_11'], 'c_1100_6' : negation(d['c_0101_2']), 'c_1100_1' : negation(d['c_0101_2']), 'c_1100_0' : d['c_0110_10'], 'c_1100_3' : d['c_0110_10'], 'c_1100_2' : d['c_0011_11'], 's_3_11' : d['1'], 'c_1100_9' : d['c_0011_7'], 'c_1100_11' : d['c_0101_6'], 'c_1100_10' : negation(d['c_1001_2']), 's_3_10' : d['1'], 'c_1010_7' : negation(d['c_1001_2']), 'c_1010_6' : negation(d['c_0101_6']), 'c_1010_5' : negation(d['c_0101_6']), 'c_1010_4' : d['c_0011_7'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0011_0'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : negation(d['c_0011_0']), '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'], 'c_1100_12' : negation(d['c_0011_12']), '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_10'], 'c_0011_8' : d['c_0011_11'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_11']), 'c_0011_7' : d['c_0011_7'], '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_0101_1'], 'c_0110_10' : d['c_0110_10'], 'c_0110_12' : d['c_0101_6'], 'c_0101_7' : d['c_0101_0'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0011_7']), '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_0'], 'c_0101_8' : negation(d['c_0101_3']), 'c_0011_10' : d['c_0011_10'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_3'], 'c_0110_8' : d['c_0101_2'], '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_0'], 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : d['c_0011_10'], 'c_0110_7' : negation(d['c_0011_7']), 'c_0110_6' : d['c_0101_1'], 's_2_9' : d['1']})} 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_7, c_0101_0, c_0101_1, c_0101_2, c_0101_3, c_0101_6, c_0110_10, c_1001_0, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t - 41566892139/1515276931*c_1001_2^8 + 61922347890/1515276931*c_1001_2^7 + 131311550222/1515276931*c_1001_2^6 + 189789200456/1515276931*c_1001_2^5 - 366996209674/1515276931*c_1001_2^4 - 248300406862/1515276931*c_1001_2^3 + 43186644901/216468133*c_1001_2^2 + 60373805692/1515276931*c_1001_2 - 57153925334/1515276931, c_0011_0 - 1, c_0011_10 + 8*c_1001_2^8 - 12*c_1001_2^7 - 25*c_1001_2^6 - 37*c_1001_2^5 + 71*c_1001_2^4 + 47*c_1001_2^3 - 55*c_1001_2^2 - 12*c_1001_2 + 10, c_0011_11 + 4*c_1001_2^8 - 5*c_1001_2^7 - 14*c_1001_2^6 - 21*c_1001_2^5 + 30*c_1001_2^4 + 31*c_1001_2^3 - 25*c_1001_2^2 - 9*c_1001_2 + 5, c_0011_12 + 5*c_1001_2^8 - 6*c_1001_2^7 - 18*c_1001_2^6 - 27*c_1001_2^5 + 37*c_1001_2^4 + 42*c_1001_2^3 - 29*c_1001_2^2 - 14*c_1001_2 + 6, c_0011_7 - 9*c_1001_2^8 + 13*c_1001_2^7 + 29*c_1001_2^6 + 42*c_1001_2^5 - 77*c_1001_2^4 - 56*c_1001_2^3 + 66*c_1001_2^2 + 14*c_1001_2 - 14, c_0101_0 + 9*c_1001_2^8 - 14*c_1001_2^7 - 28*c_1001_2^6 - 39*c_1001_2^5 + 84*c_1001_2^4 + 52*c_1001_2^3 - 70*c_1001_2^2 - 12*c_1001_2 + 14, c_0101_1 - 9*c_1001_2^8 + 13*c_1001_2^7 + 29*c_1001_2^6 + 42*c_1001_2^5 - 77*c_1001_2^4 - 56*c_1001_2^3 + 66*c_1001_2^2 + 14*c_1001_2 - 14, c_0101_2 + 5*c_1001_2^8 - 10*c_1001_2^7 - 13*c_1001_2^6 - 14*c_1001_2^5 + 60*c_1001_2^4 + 14*c_1001_2^3 - 56*c_1001_2^2 + 12, c_0101_3 - 22*c_1001_2^8 + 35*c_1001_2^7 + 68*c_1001_2^6 + 92*c_1001_2^5 - 211*c_1001_2^4 - 124*c_1001_2^3 + 181*c_1001_2^2 + 30*c_1001_2 - 38, c_0101_6 - c_1001_2^8 + c_1001_2^7 + 4*c_1001_2^6 + 6*c_1001_2^5 - 7*c_1001_2^4 - 11*c_1001_2^3 + 5*c_1001_2^2 + 6*c_1001_2 - 1, c_0110_10 - 5*c_1001_2^8 + 8*c_1001_2^7 + 15*c_1001_2^6 + 21*c_1001_2^5 - 47*c_1001_2^4 - 25*c_1001_2^3 + 41*c_1001_2^2 + 5*c_1001_2 - 9, c_1001_0 - 5*c_1001_2^8 + 8*c_1001_2^7 + 15*c_1001_2^6 + 21*c_1001_2^5 - 47*c_1001_2^4 - 25*c_1001_2^3 + 41*c_1001_2^2 + 5*c_1001_2 - 9, c_1001_2^9 - c_1001_2^8 - 4*c_1001_2^7 - 6*c_1001_2^6 + 7*c_1001_2^5 + 11*c_1001_2^4 - 5*c_1001_2^3 - 6*c_1001_2^2 + c_1001_2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 3.730 Total time: 3.930 seconds, Total memory usage: 64.12MB