Magma V2.19-8 Wed Aug 21 2013 00:56:57 on localhost [Seed = 3970627128] Type ? for help. Type -D to quit. Loading file "L13n3175__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n3175 geometric_solution 11.58881806 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 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 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 0.500942389399 0.739943616770 0 5 6 3 0132 0132 0132 0132 1 1 0 1 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 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.812901266395 0.885472727753 3 0 5 7 0321 0132 1302 0132 1 0 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 0 0 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 0.481078065788 0.277414352263 2 8 1 0 0321 0132 0132 0132 1 1 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 1 0 0 -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 -0.295244403020 0.790238703532 9 10 0 6 0132 0132 0132 0132 1 1 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 0 0 0 0 0 -1 -1 2 -1 0 1 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 0.175841125690 0.850611872330 2 1 9 10 2031 0132 0213 1023 1 1 1 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 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.935226046852 0.313874787001 11 7 4 1 0132 2103 0132 0132 1 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 0 0 0 2 -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 0.479166077275 1.176784646933 12 6 2 10 0132 2103 0132 2310 1 0 1 0 0 0 0 0 -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 0 1 -1 -1 0 1 0 0 -2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.220180708457 1.095085059847 12 3 11 9 3012 0132 3012 0132 1 1 0 0 0 0 0 0 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 0 0 0 0 0 1 -1 1 -1 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.062704824753 0.763025444299 4 5 8 11 0132 0213 0132 0132 1 1 1 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 1 0 1 -2 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.359136712594 0.751506484768 7 4 12 5 3201 0132 3012 1023 1 1 1 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 1 -1 0 -2 0 2 0 1 0 0 -1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.616710276106 0.360106932835 6 8 9 12 0132 1230 0132 3012 1 1 0 1 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 -1 0 1 0 0 2 -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 0.372614164941 0.926713637592 7 10 11 8 0132 1230 1230 1230 1 0 0 1 0 1 -1 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 -2 2 0 1 0 0 -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 0.174982141015 1.410797280950 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_11'], 'c_1001_10' : negation(d['c_0011_12']), 'c_1001_12' : d['c_1001_11'], 'c_1001_5' : d['c_1001_3'], 'c_1001_4' : d['c_0110_5'], 'c_1001_7' : negation(d['c_0011_11']), 'c_1001_6' : negation(d['c_0011_12']), 'c_1001_1' : d['c_0110_10'], 'c_1001_0' : negation(d['c_0011_11']), 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : d['c_0110_5'], 'c_1001_9' : d['c_1001_3'], 'c_1001_8' : negation(d['c_0011_11']), 'c_1010_12' : d['c_0101_10'], 'c_1010_11' : d['c_0101_10'], 'c_1010_10' : d['c_0110_5'], 's_3_11' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_1'], '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_1100_9' : negation(d['c_1001_11']), 'c_1100_8' : negation(d['c_1001_11']), 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_1001_11'], 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : d['c_0011_10'], 'c_1100_6' : d['c_1100_0'], 'c_1100_1' : d['c_1100_0'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_0011_10'], 's_0_10' : d['1'], 'c_1100_11' : negation(d['c_1001_11']), 'c_1100_10' : negation(d['c_1001_11']), 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0110_10']), 'c_1010_6' : d['c_0110_10'], 'c_1010_5' : d['c_0110_10'], 'c_1010_4' : negation(d['c_0011_12']), 'c_1010_3' : negation(d['c_0011_11']), 'c_1010_2' : negation(d['c_0011_11']), 'c_1010_1' : d['c_1001_3'], 'c_1010_0' : d['c_0110_5'], 'c_1010_9' : d['c_1001_11'], 'c_1010_8' : d['c_1001_3'], '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' : d['c_0101_6'], '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' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : negation(d['c_0011_12']), 'c_0011_6' : negation(d['c_0011_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' : d['c_0101_6'], 'c_0110_10' : d['c_0110_10'], 'c_0110_12' : negation(d['c_0011_3']), 'c_0101_12' : negation(d['c_0101_10']), 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : negation(d['c_0011_3']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0011_10'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0011_0'], 'c_0101_2' : negation(d['c_0011_0']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_0'], 'c_0101_9' : d['c_0101_6'], 'c_0101_8' : d['c_0101_10'], '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_1'], 'c_0110_8' : d['c_0101_6'], 'c_0110_1' : d['c_0011_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_0'], 'c_0110_2' : negation(d['c_0011_3']), 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0101_6'], 'c_0110_7' : negation(d['c_0101_10']), 'c_0110_6' : d['c_0101_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_3, c_0101_1, c_0101_10, c_0101_6, c_0110_10, c_0110_5, c_1001_11, c_1001_3, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t + 117201326081/13691480*c_1100_0^8 + 21873499269/6845740*c_1100_0^7 - 248109851403/6845740*c_1100_0^6 + 389903494601/6845740*c_1100_0^5 - 9971199187/6845740*c_1100_0^4 + 30864823373/1711435*c_1100_0^3 - 271941547821/13691480*c_1100_0^2 - 298370262829/13691480*c_1100_0 + 186997557899/13691480, c_0011_0 - 1, c_0011_10 - 9/2*c_1100_0^8 - 8*c_1100_0^7 + 13*c_1100_0^6 - 7*c_1100_0^5 - 28*c_1100_0^4 - 24*c_1100_0^3 - 27/2*c_1100_0^2 + 23/2*c_1100_0 + 17/2, c_0011_11 + c_1100_0^8 + 6*c_1100_0^7 + c_1100_0^6 - 14*c_1100_0^5 + 26*c_1100_0^4 + 15*c_1100_0^3 + 18*c_1100_0^2 - 5*c_1100_0 - 12, c_0011_12 + 15/2*c_1100_0^8 + 7*c_1100_0^7 - 27*c_1100_0^6 + 35*c_1100_0^5 + 15*c_1100_0^4 + 30*c_1100_0^3 - 5/2*c_1100_0^2 - 33/2*c_1100_0 + 1/2, c_0011_3 - 7/2*c_1100_0^8 - 5*c_1100_0^7 + 11*c_1100_0^6 - 10*c_1100_0^5 - 15*c_1100_0^4 - 18*c_1100_0^3 - 13/2*c_1100_0^2 + 19/2*c_1100_0 + 7/2, c_0101_1 - 1, c_0101_10 - 1/2*c_1100_0^8 + 3*c_1100_0^7 + 5*c_1100_0^6 - 15*c_1100_0^5 + 15*c_1100_0^4 + 5*c_1100_0^3 + 27/2*c_1100_0^2 - 1/2*c_1100_0 - 17/2, c_0101_6 + c_1100_0^8 + 6*c_1100_0^7 + c_1100_0^6 - 14*c_1100_0^5 + 26*c_1100_0^4 + 15*c_1100_0^3 + 18*c_1100_0^2 - 4*c_1100_0 - 12, c_0110_10 + 1/2*c_1100_0^8 - 3*c_1100_0^7 - 5*c_1100_0^6 + 15*c_1100_0^5 - 15*c_1100_0^4 - 5*c_1100_0^3 - 27/2*c_1100_0^2 + 1/2*c_1100_0 + 17/2, c_0110_5 - c_1100_0^8 - 6*c_1100_0^7 - c_1100_0^6 + 14*c_1100_0^5 - 26*c_1100_0^4 - 15*c_1100_0^3 - 18*c_1100_0^2 + 4*c_1100_0 + 12, c_1001_11 - 17/2*c_1100_0^8 - 8*c_1100_0^7 + 31*c_1100_0^6 - 39*c_1100_0^5 - 19*c_1100_0^4 - 32*c_1100_0^3 + 7/2*c_1100_0^2 + 41/2*c_1100_0 + 1/2, c_1001_3 + 1/2*c_1100_0^8 - 3*c_1100_0^7 - 5*c_1100_0^6 + 15*c_1100_0^5 - 15*c_1100_0^4 - 5*c_1100_0^3 - 27/2*c_1100_0^2 + 3/2*c_1100_0 + 17/2, c_1100_0^9 + c_1100_0^8 - 4*c_1100_0^7 + 4*c_1100_0^6 + 4*c_1100_0^5 + 2*c_1100_0^4 - c_1100_0^3 - 4*c_1100_0^2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.120 Total time: 0.340 seconds, Total memory usage: 32.09MB