Magma V2.19-8 Tue Aug 20 2013 23:44:28 on localhost [Seed = 2699478319] Type ? for help. Type -D to quit. Loading file "L14n38372__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n38372 geometric_solution 10.55489481 oriented_manifold CS_known 0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 11 1 2 3 4 0132 0132 0132 0132 1 0 1 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 -1 1 -1 0 6 -5 -4 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.422498884472 1.266225365965 0 4 6 5 0132 3120 0132 0132 1 0 0 1 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 1 0 0 -1 0 0 0 0 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.762885115949 0.710631180028 7 0 6 3 0132 0132 2310 0132 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 1 0 0 -1 -1 0 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.334057301576 0.486882593455 8 5 2 0 0132 0321 0132 0132 1 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 -1 0 1 5 0 1 -6 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.238112629851 1.241193989723 7 1 0 9 3012 3120 0132 0132 1 0 0 1 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 4 -1 -3 0 0 5 -5 -1 0 0 1 4 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.509925604080 1.014561063955 10 6 1 3 0132 0213 0132 0321 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 -1 0 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 0.359205487645 0.585183203987 9 2 5 1 3201 3201 0213 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.978558555876 0.715441626824 2 9 10 4 0132 2103 1023 1230 0 0 1 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 -1 0 0 1 1 3 0 -4 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.844017359470 0.870368088681 3 9 10 10 0132 1023 0132 2031 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 5 -5 0 -5 0 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.745695965201 0.787999686571 8 7 4 6 1023 2103 0132 2310 1 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 -3 3 0 -5 0 5 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 0.425801779506 0.592125034027 5 8 7 8 0132 1302 1023 0132 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 -5 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.366446748115 0.669495058589 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0101_1'], 'c_1001_10' : d['c_0101_3'], 'c_1001_5' : negation(d['c_0011_4']), 'c_1001_4' : negation(d['c_1001_1']), 'c_1001_7' : negation(d['c_0011_3']), 'c_1001_6' : negation(d['c_0011_4']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_0'], 'c_1001_2' : negation(d['c_1001_1']), 'c_1001_9' : d['c_0011_0'], 'c_1001_8' : d['c_0101_9'], 'c_1010_10' : d['c_0101_9'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : negation(d['1']), 'c_0101_10' : negation(d['c_0011_3']), '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_10' : d['1'], 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : negation(d['1']), 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : d['c_0011_6'], 'c_1100_8' : negation(d['c_0101_9']), 'c_1100_5' : d['c_1001_0'], 'c_1100_4' : d['c_0011_6'], 'c_1100_7' : d['c_0101_9'], 'c_1100_6' : d['c_1001_0'], 'c_1100_1' : d['c_1001_0'], 'c_1100_0' : d['c_0011_6'], 'c_1100_3' : d['c_0011_6'], 'c_1100_2' : d['c_0011_6'], 'c_1100_10' : negation(d['c_0101_9']), 'c_1010_7' : d['c_0101_1'], 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : d['c_1001_0'], 'c_1010_4' : d['c_0011_0'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0011_4']), 'c_1010_0' : negation(d['c_1001_1']), 'c_1010_9' : negation(d['c_0101_1']), 'c_1010_8' : d['c_0011_10'], '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' : negation(d['1']), 's_3_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 's_1_7' : negation(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' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_1_9' : negation(d['1']), 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_3']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : d['c_0011_6'], '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_10' : d['c_0101_0'], 'c_0101_7' : d['c_0101_3'], 'c_0101_6' : negation(d['c_0011_10']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_4'], '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_10' : d['1'], 'c_0110_9' : d['c_0011_10'], 'c_0110_8' : d['c_0101_3'], '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_3'], 'c_0110_5' : negation(d['c_0011_3']), 'c_0110_4' : d['c_0101_9'], 'c_0110_7' : d['c_0011_4'], 'c_0011_10' : d['c_0011_10']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0011_4, c_0011_6, c_0101_0, c_0101_1, c_0101_3, c_0101_9, c_1001_0, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t - 1054383/4234*c_1001_1^3 + 16048007/93148*c_1001_1^2 - 6990575/279444*c_1001_1 + 2998877/279444, c_0011_0 - 1, c_0011_10 + 3025/73*c_1001_1^3 + 1772/73*c_1001_1^2 - 1650/73*c_1001_1 + 366/73, c_0011_3 + 7744/73*c_1001_1^3 - 4650/73*c_1001_1^2 + 740/73*c_1001_1 + 96/73, c_0011_4 + 363/73*c_1001_1^3 - 494/73*c_1001_1^2 - 125/73*c_1001_1 + 41/73, c_0011_6 + 2783/73*c_1001_1^3 - 843/73*c_1001_1^2 - 58/73*c_1001_1 - 2/73, c_0101_0 - 1, c_0101_1 - 1089/73*c_1001_1^3 + 1482/73*c_1001_1^2 - 428/73*c_1001_1 + 96/73, c_0101_3 - 4719/73*c_1001_1^3 + 6422/73*c_1001_1^2 - 2390/73*c_1001_1 + 270/73, c_0101_9 - 1, c_1001_0 + 3509/73*c_1001_1^3 - 1831/73*c_1001_1^2 + 495/73*c_1001_1 - 66/73, c_1001_1^4 - 84/121*c_1001_1^3 + 27/121*c_1001_1^2 - 6/121*c_1001_1 + 1/121 ], Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0011_4, c_0011_6, c_0101_0, c_0101_1, c_0101_3, c_0101_9, c_1001_0, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 5 Groebner basis: [ t + 25*c_1001_1^4 - 60*c_1001_1^3 + 34*c_1001_1^2 + 32*c_1001_1 - 19, c_0011_0 - 1, c_0011_10 - 2*c_1001_1^4 + 2*c_1001_1^3 + 3*c_1001_1^2 - 5*c_1001_1, c_0011_3 - c_1001_1^4 + c_1001_1^3 + 2*c_1001_1^2 - 3*c_1001_1 - 1, c_0011_4 + c_1001_1^4 - c_1001_1^3 - 2*c_1001_1^2 + 3*c_1001_1 + 1, c_0011_6 - c_1001_1^4 + c_1001_1^3 + 2*c_1001_1^2 - 3*c_1001_1 - 1, c_0101_0 - 1, c_0101_1 - 1, c_0101_3 + 2*c_1001_1^4 - 2*c_1001_1^3 - 3*c_1001_1^2 + 5*c_1001_1, c_0101_9 - 3*c_1001_1^4 + 2*c_1001_1^3 + 6*c_1001_1^2 - 6*c_1001_1 - 4, c_1001_0 + c_1001_1^4 - c_1001_1^3 - 2*c_1001_1^2 + 2*c_1001_1 + 1, c_1001_1^5 - c_1001_1^4 - 2*c_1001_1^3 + 3*c_1001_1^2 + c_1001_1 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.040 Total time: 0.250 seconds, Total memory usage: 32.09MB