Magma V2.19-8 Wed Aug 21 2013 01:00:44 on localhost [Seed = 4155632865] Type ? for help. Type -D to quit. Loading file "L13n9820__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n9820 geometric_solution 11.66699877 oriented_manifold CS_known 0.0000000000000003 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 1 3 0132 0132 3012 0132 1 0 1 2 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 -1 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 0.842913655130 1.113749590730 0 0 5 4 0132 1230 0132 0132 0 0 2 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 0 0 0 0 -1 1 0 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 0.124167712373 0.880354934425 6 0 7 6 0132 0132 0132 2031 1 1 2 1 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 1 3 -4 0 0 0 0 -4 1 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.778393506360 0.707095010520 8 8 0 9 0132 2310 0132 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 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 0.139230327581 0.493301132459 10 10 1 9 0132 1302 0132 3120 0 0 1 2 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 0 0 0 4 -1 0 -3 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.802449499751 0.728951722391 7 9 11 1 2310 1302 0132 0132 0 0 1 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 1 -1 0 0 -1 1 0 0 0 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.062076458667 0.779219440272 2 2 10 12 0132 1302 3012 0132 1 1 1 2 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 1 -1 0 4 0 -4 4 -3 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.296131909553 0.639395897773 12 11 5 2 0132 3120 3201 0132 1 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 0 0 0 0 0 0 0 0 0 0 0 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.638653477596 0.481080866941 3 11 11 3 0132 2031 3120 3201 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.463302473151 1.123813290193 4 12 3 5 3120 1302 0132 2031 1 0 1 0 0 0 0 0 -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 0 0 0 0 3 0 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.062076458667 0.779219440272 4 6 12 4 0132 1230 0213 2031 1 0 2 1 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 0 0 0 0 0 1 0 -1 -4 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.346338716303 1.277972991522 8 7 8 5 1302 3120 3120 0132 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 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 0.632266406474 0.662115943953 7 10 6 9 0132 0213 0132 2031 1 1 0 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 1 -1 0 0 0 0 0 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.783721108831 1.124213573891 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_5'], 'c_1001_10' : d['c_0011_5'], 'c_1001_12' : d['c_0011_5'], 'c_1001_5' : d['c_0011_12'], 'c_1001_4' : d['c_0101_0'], 'c_1001_7' : negation(d['c_0101_5']), 'c_1001_6' : negation(d['c_0011_10']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0011_0'], 'c_1001_3' : negation(d['c_0011_11']), 'c_1001_2' : negation(d['c_0011_11']), 'c_1001_9' : negation(d['c_0101_1']), 'c_1001_8' : negation(d['c_0101_5']), 'c_1010_12' : d['c_0011_9'], 'c_1010_11' : d['c_0011_12'], 'c_1010_10' : negation(d['c_0011_10']), 's_0_10' : 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_0011_3'], 'c_0101_10' : d['c_0011_12'], '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' : negation(d['1']), 's_0_7' : 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' : negation(d['c_1001_1']), 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0101_8']), 'c_1100_4' : negation(d['c_0101_8']), 'c_1100_7' : negation(d['c_0011_5']), 'c_1100_6' : negation(d['c_0011_5']), 'c_1100_1' : negation(d['c_0101_8']), 'c_1100_0' : negation(d['c_1001_1']), 'c_1100_3' : negation(d['c_1001_1']), 'c_1100_2' : negation(d['c_0011_5']), 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0101_8']), 'c_1100_10' : d['c_0011_9'], 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0011_11']), 'c_1010_6' : d['c_0011_5'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : negation(d['c_0011_9']), 'c_1010_3' : negation(d['c_0101_1']), 'c_1010_2' : d['c_0011_0'], 'c_1010_1' : d['c_0101_0'], 'c_1010_0' : negation(d['c_0011_11']), 'c_1010_9' : d['c_0011_5'], 'c_1010_8' : d['c_0011_11'], 'c_1100_8' : negation(d['c_0011_3']), 's_3_1' : d['1'], 's_3_0' : 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' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : negation(d['c_0011_5']), 's_1_7' : d['1'], 's_1_6' : negation(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_9'], 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : negation(d['c_0011_12']), 'c_0011_6' : d['c_0011_0'], '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_5'], 'c_0110_10' : d['c_0101_0'], 'c_0110_12' : negation(d['c_0101_1']), 'c_0101_12' : d['c_0101_12'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : negation(d['c_0101_1']), 'c_0101_6' : negation(d['c_0011_10']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_12'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_8'], 'c_0101_8' : d['c_0101_8'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_12'], 'c_0110_8' : d['c_0101_1'], 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : d['c_0011_11'], 'c_0110_3' : d['c_0101_8'], 'c_0110_2' : negation(d['c_0011_10']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0011_12'], 'c_0110_7' : d['c_0101_12'], 'c_0110_6' : d['c_0101_12']})} 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_0011_5, c_0011_9, c_0101_0, c_0101_1, c_0101_12, c_0101_5, c_0101_8, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t - 140829/23432*c_1001_1^8 + 1606159/46864*c_1001_1^7 - 4332245/46864*c_1001_1^6 + 89043959/562368*c_1001_1^5 - 6419977/35148*c_1001_1^4 + 3304187/23432*c_1001_1^3 - 197425/2929*c_1001_1^2 + 58639/17574*c_1001_1 + 88156/8787, c_0011_0 - 1, c_0011_10 - 5*c_1001_1^8 + 65/2*c_1001_1^7 - 104*c_1001_1^6 + 1729/8*c_1001_1^5 - 2525/8*c_1001_1^4 + 1337/4*c_1001_1^3 - 1023/4*c_1001_1^2 + 259/2*c_1001_1 - 37, c_0011_11 - c_1001_1 + 1, c_0011_12 - 3/2*c_1001_1^8 + 39/4*c_1001_1^7 - 31*c_1001_1^6 + 1023/16*c_1001_1^5 - 1499/16*c_1001_1^4 + 399/4*c_1001_1^3 - 307/4*c_1001_1^2 + 39*c_1001_1 - 11, c_0011_3 - 1/4*c_1001_1^8 + 15/8*c_1001_1^7 - 55/8*c_1001_1^6 + 521/32*c_1001_1^5 - 437/16*c_1001_1^4 + 135/4*c_1001_1^3 - 31*c_1001_1^2 + 39/2*c_1001_1 - 7, c_0011_5 - 7/2*c_1001_1^8 + 95/4*c_1001_1^7 - 157/2*c_1001_1^6 + 2667/16*c_1001_1^5 - 3953/16*c_1001_1^4 + 529/2*c_1001_1^3 - 815/4*c_1001_1^2 + 104*c_1001_1 - 29, c_0011_9 + 3/2*c_1001_1^8 - 35/4*c_1001_1^7 + 51/2*c_1001_1^6 - 791/16*c_1001_1^5 + 1097/16*c_1001_1^4 - 279/4*c_1001_1^3 + 52*c_1001_1^2 - 51/2*c_1001_1 + 8, c_0101_0 - 1, c_0101_1 - 1, c_0101_12 - 7/2*c_1001_1^8 + 91/4*c_1001_1^7 - 73*c_1001_1^6 + 2435/16*c_1001_1^5 - 3551/16*c_1001_1^4 + 469/2*c_1001_1^3 - 179*c_1001_1^2 + 181/2*c_1001_1 - 26, c_0101_5 - 5/4*c_1001_1^8 + 71/8*c_1001_1^7 - 245/8*c_1001_1^6 + 2165/32*c_1001_1^5 - 104*c_1001_1^4 + 913/8*c_1001_1^3 - 179/2*c_1001_1^2 + 93/2*c_1001_1 - 13, c_0101_8 + c_1001_1 - 1, c_1001_1^9 - 15/2*c_1001_1^8 + 55/2*c_1001_1^7 - 521/8*c_1001_1^6 + 437/4*c_1001_1^5 - 135*c_1001_1^4 + 124*c_1001_1^3 - 82*c_1001_1^2 + 36*c_1001_1 - 8 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.040 Total time: 0.240 seconds, Total memory usage: 32.09MB