Magma V2.19-8 Wed Aug 21 2013 00:52:37 on localhost [Seed = 1629975772] Type ? for help. Type -D to quit. Loading file "L12n1003__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n1003 geometric_solution 12.63569601 oriented_manifold CS_known -0.0000000000000003 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 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 0 0 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 0.401593621892 0.818534280701 0 5 7 6 0132 0132 0132 0132 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 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 0.582057227559 0.796170982658 4 0 6 5 3012 0132 0132 0132 1 1 1 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 1 0 -1 -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 0.582057227559 0.796170982658 8 6 5 0 0132 0132 1302 0132 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 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 0.297600698927 1.017944110091 8 9 0 2 3120 0132 0132 1230 1 1 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 -1 1 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 0.095808067591 1.065219495214 3 1 2 9 2031 0132 0132 1023 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 0 0 0 0 0 0 0 0 1 -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 0.735413454358 0.905019096783 10 3 1 2 0132 0132 0132 0132 1 1 0 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 0 0 0 0 0 1 -1 2 0 0 -2 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.401593621892 0.818534280701 10 11 9 1 2103 0132 1023 0132 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 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.763447732524 1.238189127379 3 12 10 4 0132 0132 0132 3120 0 1 0 1 0 0 0 0 0 0 0 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 0 1 0 0 0 0 0 -2 0 2 0 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.718811079058 1.477835632982 11 4 7 5 2031 0132 1023 1023 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 -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 0.124251347308 0.653023838502 6 12 7 8 0132 1023 2103 0132 0 1 1 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 0 0 0 0 0 0 0 -1 -2 0 3 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.148862147739 0.779191401441 12 7 9 12 2310 0132 1302 2103 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 1 -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 0 0 0.639196385216 0.585165288877 10 8 11 11 1023 0132 3201 2103 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 1 0 -1 0 0 0 0 2 -3 0 1 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.148862147739 0.779191401441 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0110_9'], 'c_1001_10' : negation(d['c_0011_11']), 'c_1001_12' : negation(d['c_0011_4']), 'c_1001_5' : d['c_1001_0'], 'c_1001_4' : d['c_0110_5'], 'c_1001_7' : d['c_0101_9'], 'c_1001_6' : d['c_1001_0'], 'c_1001_1' : d['c_0110_9'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0110_5'], 'c_1001_2' : d['c_0110_5'], 'c_1001_9' : d['c_0101_10'], 'c_1001_8' : negation(d['c_0101_9']), 'c_1010_12' : negation(d['c_0101_9']), 'c_1010_11' : d['c_0101_9'], 'c_1010_10' : negation(d['c_0101_9']), 's_3_11' : 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' : negation(d['c_0011_11']), 'c_0101_11' : d['c_0011_4'], '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' : 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_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_10'], 'c_1100_5' : d['c_1100_1'], 'c_1100_4' : d['c_0101_5'], 'c_1100_7' : d['c_1100_1'], 'c_1100_6' : d['c_1100_1'], 'c_1100_1' : d['c_1100_1'], 'c_1100_0' : d['c_0101_5'], 'c_1100_3' : d['c_0101_5'], 'c_1100_2' : d['c_1100_1'], 's_0_10' : d['1'], 'c_1100_11' : d['c_0101_9'], 'c_1100_10' : negation(d['c_0101_1']), 's_3_10' : d['1'], 'c_1010_7' : d['c_0110_9'], 'c_1010_6' : d['c_0110_5'], 'c_1010_5' : d['c_0110_9'], 'c_1010_4' : d['c_0101_10'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_0'], 'c_1010_0' : d['c_0110_5'], 'c_1010_9' : d['c_0110_5'], 'c_1010_8' : negation(d['c_0011_4']), 'c_1100_8' : negation(d['c_0101_1']), '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_11']), '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' : negation(d['c_0011_4']), 'c_0011_8' : negation(d['c_0011_10']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_11']), 'c_0011_6' : negation(d['c_0011_10']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_10'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0011_11'], 'c_0110_10' : d['c_0101_0'], 'c_0110_12' : negation(d['c_0101_9']), 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_10'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_0']), 'c_0101_2' : d['c_0101_10'], '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_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0110_9'], 'c_0110_8' : negation(d['c_0011_0']), 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_1100_1']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_5'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : negation(d['c_0011_0']), 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0101_10'], '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_4, c_0101_0, c_0101_1, c_0101_10, c_0101_5, c_0101_9, c_0110_5, c_0110_9, c_1001_0, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t - 5063/9504*c_1001_0^6 + 14303/4752*c_1001_0^5 - 5683/1188*c_1001_0^4 + 3125/352*c_1001_0^3 - 99821/9504*c_1001_0^2 + 11489/1584*c_1001_0 - 2891/1188, c_0011_0 - 1, c_0011_10 - 7/24*c_1001_0^6 + 4/3*c_1001_0^5 - 7/6*c_1001_0^4 + 29/8*c_1001_0^3 - 55/24*c_1001_0^2 + 5/2*c_1001_0 + 1/6, c_0011_11 - 55/48*c_1001_0^6 + 17/3*c_1001_0^5 - 85/12*c_1001_0^4 + 285/16*c_1001_0^3 - 607/48*c_1001_0^2 + 59/4*c_1001_0 + 7/12, c_0011_4 - 29/48*c_1001_0^6 + 37/12*c_1001_0^5 - 53/12*c_1001_0^4 + 175/16*c_1001_0^3 - 425/48*c_1001_0^2 + 21/2*c_1001_0 - 13/12, c_0101_0 - 1, c_0101_1 + 7/48*c_1001_0^6 - 7/6*c_1001_0^5 + 37/12*c_1001_0^4 - 77/16*c_1001_0^3 + 391/48*c_1001_0^2 - 29/4*c_1001_0 + 65/12, c_0101_10 + 7/48*c_1001_0^6 - 7/6*c_1001_0^5 + 37/12*c_1001_0^4 - 77/16*c_1001_0^3 + 391/48*c_1001_0^2 - 29/4*c_1001_0 + 65/12, c_0101_5 + 7/24*c_1001_0^6 - 4/3*c_1001_0^5 + 7/6*c_1001_0^4 - 29/8*c_1001_0^3 + 55/24*c_1001_0^2 - 5/2*c_1001_0 - 1/6, c_0101_9 + 1/2*c_1001_0^6 - 11/4*c_1001_0^5 + 9/2*c_1001_0^4 - 19/2*c_1001_0^3 + 37/4*c_1001_0^2 - 37/4*c_1001_0 + 5/2, c_0110_5 + 1, c_0110_9 - 7/24*c_1001_0^6 + 4/3*c_1001_0^5 - 7/6*c_1001_0^4 + 29/8*c_1001_0^3 - 55/24*c_1001_0^2 + 5/2*c_1001_0 + 1/6, c_1001_0^7 - 6*c_1001_0^6 + 12*c_1001_0^5 - 25*c_1001_0^4 + 31*c_1001_0^3 - 34*c_1001_0^2 + 20*c_1001_0 - 8, c_1100_1 - 1 ], 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_4, c_0101_0, c_0101_1, c_0101_10, c_0101_5, c_0101_9, c_0110_5, c_0110_9, c_1001_0, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 19897/276*c_1100_1^7 - 150791/138*c_1100_1^6 - 5328161/552*c_1100_1^5 - 5336817/184*c_1100_1^4 - 4120361/92*c_1100_1^3 - 11035039/276*c_1100_1^2 - 11055493/552*c_1100_1 - 2254309/552, c_0011_0 - 1, c_0011_10 + 25/12*c_1100_1^7 - 143/4*c_1100_1^6 - 2489/12*c_1100_1^5 - 5059/12*c_1100_1^4 - 5299/12*c_1100_1^3 - 2957/12*c_1100_1^2 - 601/12*c_1100_1 + 37/12, c_0011_11 + 2*c_1100_1^7 - 82/3*c_1100_1^6 - 1969/6*c_1100_1^5 - 2794/3*c_1100_1^4 - 3436/3*c_1100_1^3 - 2287/3*c_1100_1^2 - 351/2*c_1100_1 + 31/3, c_0011_4 - 16/3*c_1100_1^7 + 88*c_1100_1^6 + 596*c_1100_1^5 + 1345*c_1100_1^4 + 1486*c_1100_1^3 + 2665/3*c_1100_1^2 + 186*c_1100_1 - 10, c_0101_0 - 1, c_0101_1 - 3/2*c_1100_1^7 + 26*c_1100_1^6 + 434/3*c_1100_1^5 + 563/2*c_1100_1^4 + 565/2*c_1100_1^3 + 149*c_1100_1^2 + 25*c_1100_1 - 13/6, c_0101_10 + 17/4*c_1100_1^7 - 859/12*c_1100_1^6 - 1793/4*c_1100_1^5 - 11483/12*c_1100_1^4 - 12269/12*c_1100_1^3 - 7019/12*c_1100_1^2 - 1375/12*c_1100_1 + 97/12, c_0101_5 - c_1100_1 - 1, c_0101_9 + 21/4*c_1100_1^7 - 1031/12*c_1100_1^6 - 7199/12*c_1100_1^5 - 5497/4*c_1100_1^4 - 6135/4*c_1100_1^3 - 3705/4*c_1100_1^2 - 2371/12*c_1100_1 + 125/12, c_0110_5 + 25/12*c_1100_1^7 - 143/4*c_1100_1^6 - 2489/12*c_1100_1^5 - 5059/12*c_1100_1^4 - 5299/12*c_1100_1^3 - 2957/12*c_1100_1^2 - 601/12*c_1100_1 + 25/12, c_0110_9 + 25/12*c_1100_1^7 - 143/4*c_1100_1^6 - 2489/12*c_1100_1^5 - 5059/12*c_1100_1^4 - 5299/12*c_1100_1^3 - 2957/12*c_1100_1^2 - 601/12*c_1100_1 + 37/12, c_1001_0 - 7/4*c_1100_1^7 + 347/12*c_1100_1^6 + 779/4*c_1100_1^5 + 5267/12*c_1100_1^4 + 5855/12*c_1100_1^3 + 3515/12*c_1100_1^2 + 255/4*c_1100_1 - 37/12, c_1100_1^8 - 16*c_1100_1^7 - 120*c_1100_1^6 - 308*c_1100_1^5 - 406*c_1100_1^4 - 308*c_1100_1^3 - 120*c_1100_1^2 - 16*c_1100_1 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.280 Total time: 0.480 seconds, Total memory usage: 32.09MB