Magma V2.19-8 Tue Aug 20 2013 23:53:41 on localhost [Seed = 3616652371] Type ? for help. Type -D to quit. Loading file "L13n6856__sl2_c6.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n6856 geometric_solution 10.07007854 oriented_manifold CS_known 0.0000000000000002 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 2 0132 0132 0132 1230 2 0 1 0 0 1 -1 0 0 0 -1 1 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 0 1 0 0 1 -1 1 -2 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.429442677925 0.539413221763 0 4 4 5 0132 0132 1302 0132 2 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.096647358689 1.134680793704 0 0 4 5 3012 0132 0132 2031 2 2 0 1 0 -1 1 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 1 -1 0 -1 0 0 1 1 -1 0 0 -1 2 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.925474794037 0.874957381139 6 5 7 0 0132 2031 0132 0132 2 0 0 0 0 0 -1 1 -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 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 1.251047588012 0.558756509233 1 1 8 2 2031 0132 0132 0132 2 2 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 0 0 0 0 0 0 0 0 0 0 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 0.925474794037 0.874957381139 3 2 1 8 1302 1302 0132 1230 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 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 0.117926288790 0.457392750831 3 9 9 10 0132 0132 1302 0132 2 0 0 0 0 0 0 0 1 0 -1 0 0 0 0 0 -1 -1 2 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.048323679344 0.567340396852 10 10 8 3 0132 2310 0213 0132 2 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.980819544958 0.541768056447 5 7 11 4 3012 0213 0132 0132 2 2 0 2 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 -1 1 -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 0.333602340382 0.297633785970 6 6 11 11 2031 0132 1023 1230 2 2 0 0 0 0 0 0 0 0 0 0 -2 1 0 1 1 0 -1 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 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.850949588075 1.749914762278 7 11 6 7 0132 2103 0132 3201 2 0 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.736277940659 1.348999470789 9 10 9 8 3012 2103 1023 0132 2 2 2 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 0 -1 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 0.775256637046 0.462168069729 ==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_0011_11'], 'c_1001_5' : d['c_0110_2'], 'c_1001_4' : d['c_0110_2'], 'c_1001_7' : d['c_1001_7'], 'c_1001_6' : d['c_0011_11'], 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : d['c_0011_5'], 'c_1001_3' : negation(d['c_0011_8']), 'c_1001_2' : d['c_0101_2'], 'c_1001_9' : d['c_0011_11'], 'c_1001_8' : d['c_1001_7'], 'c_1010_11' : d['c_1001_7'], 'c_1010_10' : negation(d['c_1001_7']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : negation(d['1']), 's_2_9' : d['1'], 'c_0101_11' : d['c_0011_11'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : negation(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' : negation(d['1']), 's_0_6' : negation(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' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_0011_11' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_0101_4'], 'c_1100_4' : negation(d['c_0101_8']), 'c_1100_7' : d['c_0110_2'], 'c_1100_6' : d['c_0011_10'], 'c_1100_1' : d['c_0101_4'], 'c_1100_0' : d['c_0110_2'], 'c_1100_3' : d['c_0110_2'], 'c_1100_2' : negation(d['c_0101_8']), 's_3_11' : negation(d['1']), 'c_1100_11' : negation(d['c_0101_8']), 'c_1100_10' : d['c_0011_10'], 's_0_11' : negation(d['1']), 'c_1010_7' : negation(d['c_0011_8']), 'c_1010_6' : d['c_0011_11'], 'c_1010_5' : d['c_0101_8'], 'c_1010_4' : d['c_0101_2'], 'c_1010_3' : d['c_0011_5'], 'c_1010_2' : d['c_0011_5'], 'c_1010_1' : d['c_0110_2'], 'c_1010_0' : d['c_0101_2'], 'c_1010_9' : d['c_0011_11'], 'c_1010_8' : d['c_0110_2'], 'c_1100_8' : negation(d['c_0101_8']), 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : negation(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' : negation(d['1']), 's_3_8' : negation(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' : d['1'], 's_1_1' : negation(d['1']), 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_3'], 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_10']), 'c_0011_6' : negation(d['c_0011_3']), '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_8'], 'c_0110_10' : d['c_0011_8'], 'c_0110_0' : negation(d['c_0011_0']), 'c_0101_7' : d['c_0011_8'], 'c_0101_6' : negation(d['c_0011_3']), 'c_0101_5' : negation(d['c_0011_3']), 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_10'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : negation(d['c_0011_3']), 'c_0101_9' : d['c_0011_10'], 'c_0101_8' : d['c_0101_8'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_11'], 'c_0110_8' : d['c_0101_4'], 'c_0110_1' : negation(d['c_0011_3']), 'c_1100_9' : d['c_0101_8'], 'c_0110_3' : negation(d['c_0011_3']), 'c_0110_2' : d['c_0110_2'], 'c_0110_5' : d['c_0011_8'], 'c_0110_4' : d['c_0101_2'], 'c_0110_7' : d['c_0101_10'], 'c_0110_6' : d['c_0101_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_5, c_0011_8, c_0101_10, c_0101_2, c_0101_4, c_0101_8, c_0110_2, c_1001_7 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 8393060995661/67505267200*c_1001_7^5 + 9639913057899/67505267200*c_1001_7^4 + 69359554147/16876316800*c_1001_7^3 - 2159889145383/67505267200*c_1001_7^2 - 23680490661/67505267200*c_1001_7 - 412089765933/67505267200, c_0011_0 - 1, c_0011_10 + 650992441/131846225*c_1001_7^5 + 906412649/131846225*c_1001_7^4 + 154978893/131846225*c_1001_7^3 + 205576277/131846225*c_1001_7^2 + 157501969/131846225*c_1001_7 - 25003763/131846225, c_0011_11 + 653605868/131846225*c_1001_7^5 + 1123712427/131846225*c_1001_7^4 + 540015064/131846225*c_1001_7^3 + 18993271/131846225*c_1001_7^2 + 47155512/131846225*c_1001_7 - 25660249/131846225, c_0011_3 + 1, c_0011_5 - 1, c_0011_8 + 227539237/26369245*c_1001_7^5 + 208406713/26369245*c_1001_7^4 + 107093026/26369245*c_1001_7^3 + 56864669/26369245*c_1001_7^2 + 33475908/26369245*c_1001_7 - 10661891/26369245, c_0101_10 + 1282615524/131846225*c_1001_7^5 + 396138136/131846225*c_1001_7^4 - 457401148/131846225*c_1001_7^3 - 259864972/131846225*c_1001_7^2 + 4246391/131846225*c_1001_7 - 41846932/131846225, c_0101_2 + 144919339/131846225*c_1001_7^5 - 645895429/131846225*c_1001_7^4 - 992866278/131846225*c_1001_7^3 - 544188317/131846225*c_1001_7^2 - 163133149/131846225*c_1001_7 - 120383702/131846225, c_0101_4 + 1, c_0101_8 + 496388423/131846225*c_1001_7^5 + 843964497/131846225*c_1001_7^4 + 764165704/131846225*c_1001_7^3 + 414255831/131846225*c_1001_7^2 + 231179457/131846225*c_1001_7 + 99460236/131846225, c_0110_2 - 144919339/131846225*c_1001_7^5 + 645895429/131846225*c_1001_7^4 + 992866278/131846225*c_1001_7^3 + 544188317/131846225*c_1001_7^2 + 163133149/131846225*c_1001_7 - 11462523/131846225, c_1001_7^6 + 359/289*c_1001_7^5 + 12/17*c_1001_7^4 + 157/289*c_1001_7^3 + 87/289*c_1001_7^2 + 15/289*c_1001_7 + 16/289 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.230 seconds, Total memory usage: 32.09MB