Magma V2.19-8 Tue Aug 20 2013 23:56:38 on localhost [Seed = 3052658104] Type ? for help. Type -D to quit. Loading file "L14n241__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n241 geometric_solution 11.67995752 oriented_manifold CS_known -0.0000000000000003 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 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 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 0.456527530032 0.911108039022 0 1 1 5 0132 3201 2310 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.435448898223 0.554354749653 6 0 7 6 0132 0132 0132 2103 0 1 0 0 0 1 -1 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 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 0.593485868691 1.259158816286 8 8 9 0 0132 1302 0132 0132 0 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 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 0.499155464815 0.606764189327 5 10 0 7 1023 0132 0132 3201 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 -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 0.416128023992 1.853206549641 8 4 1 6 2103 1023 0132 3201 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 -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 0.456527530032 0.911108039022 2 5 10 2 0132 2310 0132 2103 0 1 0 0 0 0 1 -1 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 -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 0.593485868691 1.259158816286 11 4 11 2 0132 2310 3120 0132 0 1 0 0 0 0 -1 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 0 1 -1 0 0 -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 0.381294229863 0.676244809027 3 11 5 3 0132 2310 2103 2031 0 0 1 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.809108300721 0.980220223396 10 10 11 3 2310 3012 2310 0132 0 0 1 0 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 0 -1 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.736463419527 0.804953806044 9 4 9 6 1230 0132 3201 0132 0 1 0 0 0 0 1 -1 1 0 -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 1 -1 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 0.381294229863 0.676244809027 7 9 7 8 0132 3201 3120 3201 0 1 0 0 0 0 -1 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 0 0 0 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 0.381294229863 0.676244809027 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0101_9']), 'c_1001_10' : negation(d['c_0101_9']), 'c_1001_5' : d['c_0101_1'], 'c_1001_4' : negation(d['c_0110_4']), 'c_1001_7' : d['c_0101_9'], 'c_1001_6' : negation(d['c_0110_4']), 'c_1001_1' : negation(d['c_0101_1']), 'c_1001_0' : d['c_0110_5'], 'c_1001_3' : negation(d['c_0101_10']), 'c_1001_2' : negation(d['c_0110_4']), 'c_1001_9' : negation(d['c_0011_10']), 'c_1001_8' : negation(d['c_0011_10']), 'c_1010_11' : d['c_0011_10'], 'c_1010_10' : negation(d['c_0110_4']), 's_3_11' : d['1'], 's_3_10' : negation(d['1']), 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0101_10'], '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' : negation(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' : negation(d['c_0110_5']), 'c_1100_5' : negation(d['c_0011_0']), 'c_1100_4' : d['c_0011_11'], 'c_1100_7' : negation(d['c_0101_11']), 'c_1100_6' : negation(d['c_0011_9']), 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0011_11'], 'c_1100_3' : d['c_0011_11'], 'c_1100_2' : negation(d['c_0101_11']), 's_0_10' : d['1'], 'c_1100_9' : d['c_0011_11'], 'c_1100_11' : d['c_0011_3'], 'c_1100_10' : negation(d['c_0011_9']), 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0110_4']), 'c_1010_6' : negation(d['c_0110_5']), 'c_1010_5' : d['c_0110_4'], 'c_1010_4' : negation(d['c_0101_9']), 'c_1010_3' : d['c_0110_5'], 'c_1010_2' : d['c_0110_5'], 'c_1010_1' : d['c_0101_1'], 'c_1010_0' : negation(d['c_0110_4']), 'c_1010_9' : negation(d['c_0101_10']), 'c_1010_8' : d['c_0011_3'], 's_3_1' : d['1'], 's_3_0' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : negation(d['1']), 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_7' : d['1'], 's_3_6' : negation(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' : negation(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_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_11']), 'c_0110_6' : d['c_0101_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' : negation(d['c_0011_3']), 'c_0110_10' : d['c_0011_9'], 'c_0011_6' : d['c_0011_0'], 'c_0101_7' : negation(d['c_0011_3']), 'c_0101_6' : d['c_0011_9'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0101_10']), 'c_0101_2' : d['c_0101_11'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : d['c_0101_0'], 's_1_11' : d['1'], 's_1_10' : negation(d['1']), 'c_0110_9' : negation(d['c_0101_10']), 'c_0110_8' : negation(d['c_0101_10']), '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_0011_9'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0110_4'], 'c_0110_7' : d['c_0101_11'], 'c_0011_10' : d['c_0011_10']})} 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_9, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_9, c_0110_4, c_0110_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 132394817/101152*c_0110_5^5 + 2976284635/101152*c_0110_5^4 + 1527815637/12644*c_0110_5^3 + 2847030373/12644*c_0110_5^2 + 2625013535/12644*c_0110_5 + 254811544/3161, c_0011_0 - 1, c_0011_10 + 1/16*c_0110_5^5 + 21/16*c_0110_5^4 + 31/8*c_0110_5^3 + 6*c_0110_5^2 + 4*c_0110_5 + 1, c_0011_11 + 1/16*c_0110_5^5 + 21/16*c_0110_5^4 + 31/8*c_0110_5^3 + 6*c_0110_5^2 + 4*c_0110_5 + 1, c_0011_3 + 7/16*c_0110_5^5 + 149/16*c_0110_5^4 + 117/4*c_0110_5^3 + 161/4*c_0110_5^2 + 25*c_0110_5 + 6, c_0011_9 + 1, c_0101_0 + 1/16*c_0110_5^5 + 21/16*c_0110_5^4 + 31/8*c_0110_5^3 + 6*c_0110_5^2 + 3*c_0110_5 + 1, c_0101_1 + 1/2*c_0110_5 + 1, c_0101_10 + 7/16*c_0110_5^5 + 149/16*c_0110_5^4 + 117/4*c_0110_5^3 + 161/4*c_0110_5^2 + 25*c_0110_5 + 6, c_0101_11 - 1, c_0101_9 + 1/4*c_0110_5^5 + 45/8*c_0110_5^4 + 183/8*c_0110_5^3 + 149/4*c_0110_5^2 + 28*c_0110_5 + 7, c_0110_4 + c_0110_5 + 1, c_0110_5^6 + 23*c_0110_5^5 + 104*c_0110_5^4 + 220*c_0110_5^3 + 248*c_0110_5^2 + 144*c_0110_5 + 32 ], 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_9, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_9, c_0110_4, c_0110_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 183773067/3157*c_0110_5^7 - 36189915907/101024*c_0110_5^6 - 24407037169/25256*c_0110_5^5 - 14046220673/9184*c_0110_5^4 - 39487340605/25256*c_0110_5^3 - 13174444463/12628*c_0110_5^2 - 5426985195/12628*c_0110_5 - 263024928/3157, c_0011_0 - 1, c_0011_10 - 6*c_0110_5^7 - 635/16*c_0110_5^6 - 883/8*c_0110_5^5 - 2807/16*c_0110_5^4 - 1417/8*c_0110_5^3 - 115*c_0110_5^2 - 45*c_0110_5 - 7, c_0011_11 - 6*c_0110_5^7 - 635/16*c_0110_5^6 - 883/8*c_0110_5^5 - 2807/16*c_0110_5^4 - 1417/8*c_0110_5^3 - 115*c_0110_5^2 - 45*c_0110_5 - 7, c_0011_3 + 218*c_0110_5^7 + 19893/16*c_0110_5^6 + 12431/4*c_0110_5^5 + 72985/16*c_0110_5^4 + 17203/4*c_0110_5^3 + 10429/4*c_0110_5^2 + 946*c_0110_5 + 138, c_0011_9 - 1, c_0101_0 + 6*c_0110_5^7 + 635/16*c_0110_5^6 + 883/8*c_0110_5^5 + 2807/16*c_0110_5^4 + 1417/8*c_0110_5^3 + 115*c_0110_5^2 + 44*c_0110_5 + 7, c_0101_1 - 8*c_0110_5^7 - 201/4*c_0110_5^6 - 543/4*c_0110_5^5 - 423/2*c_0110_5^4 - 421/2*c_0110_5^3 - 269/2*c_0110_5^2 - 103/2*c_0110_5 - 9, c_0101_10 - 218*c_0110_5^7 - 19893/16*c_0110_5^6 - 12431/4*c_0110_5^5 - 72985/16*c_0110_5^4 - 17203/4*c_0110_5^3 - 10429/4*c_0110_5^2 - 946*c_0110_5 - 138, c_0101_11 - 1, c_0101_9 - 120*c_0110_5^7 - 2711/4*c_0110_5^6 - 13463/8*c_0110_5^5 - 9847/4*c_0110_5^4 - 18529/8*c_0110_5^3 - 5601/4*c_0110_5^2 - 506*c_0110_5 - 73, c_0110_4 - c_0110_5 - 1, c_0110_5^8 + 233/32*c_0110_5^7 + 93/4*c_0110_5^6 + 1389/32*c_0110_5^5 + 211/4*c_0110_5^4 + 345/8*c_0110_5^3 + 93/4*c_0110_5^2 + 15/2*c_0110_5 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.060 Total time: 0.270 seconds, Total memory usage: 32.09MB