Magma V2.19-8 Wed Aug 21 2013 00:56:38 on localhost [Seed = 3987470116] Type ? for help. Type -D to quit. Loading file "L13n2731__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n2731 geometric_solution 12.52019154 oriented_manifold CS_known 0.0000000000000005 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 1 0 1 1 0 0 0 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 0 1 -1 1 0 -2 1 0 0 0 0 -3 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.891180007927 1.135309349704 0 3 6 5 0132 3120 0132 0132 1 0 1 1 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 0 0 0 0 0 0 0 0 -1 0 1 0 3 -2 0 -1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.640573837942 0.649709376607 7 0 8 7 0132 0132 0132 2031 1 0 1 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 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 0.639773768094 0.706772610432 9 1 8 0 0132 3120 2103 0132 1 0 1 1 0 0 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 1 0 -1 0 0 -2 2 0 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.192671630181 0.656548098179 6 10 0 7 2310 0132 0132 2103 1 0 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 -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 0.233514224612 0.620606005510 11 12 1 6 0132 0132 0132 2310 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 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 0.233514224612 0.620606005510 5 10 4 1 3201 1023 3201 0132 1 0 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 0 0 1 -1 1 0 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.692950307629 1.500648475521 2 2 11 4 0132 1302 3120 2103 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 0 0 0 1 0 -1 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 0.296053014875 0.777666220615 3 10 12 2 2103 0321 1302 0132 1 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 0 0 0 0 0 0 0 2 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 0.588464797570 1.402347892295 3 12 11 11 0132 1302 0132 0321 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 0 0 0 0 0 0 0 0 0 0 1 -1 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 0.296053014875 0.777666220615 6 4 12 8 1023 0132 1023 0321 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 -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 0.640573837942 0.649709376607 5 9 7 9 0132 0321 3120 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 0 -1 1 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 0.572432373007 1.123126209950 8 5 10 9 2031 0132 1023 2031 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 0.891180007927 1.135309349704 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0101_7']), 'c_1001_10' : d['c_0101_12'], 'c_1001_12' : negation(d['c_0101_1']), 'c_1001_5' : negation(d['c_0011_3']), 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_0101_7'], 'c_1001_6' : negation(d['c_0101_1']), 'c_1001_1' : negation(d['c_0011_8']), 'c_1001_0' : d['c_0011_0'], 'c_1001_3' : d['c_0011_8'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_0110_12'], 'c_1001_8' : d['c_0110_12'], 'c_1010_12' : negation(d['c_0011_3']), 'c_1010_11' : d['c_0110_12'], 'c_1010_10' : d['c_1001_2'], 's_0_10' : d['1'], 's_0_11' : 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_11'], 'c_0101_10' : negation(d['c_0101_1']), '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_0101_7']), 'c_1100_8' : d['c_0101_12'], 'c_0011_12' : d['c_0011_11'], 'c_1100_5' : d['c_0011_10'], 'c_1100_4' : negation(d['c_0101_2']), 'c_1100_7' : negation(d['c_0101_11']), 'c_1100_6' : d['c_0011_10'], 'c_1100_1' : d['c_0011_10'], 'c_1100_0' : negation(d['c_0101_2']), 'c_1100_3' : negation(d['c_0101_2']), 'c_1100_2' : d['c_0101_12'], 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0101_7']), 'c_1100_10' : d['c_0110_12'], 's_3_10' : d['1'], 'c_1010_7' : negation(d['c_0101_12']), 'c_1010_6' : negation(d['c_0011_8']), 'c_1010_5' : negation(d['c_0101_1']), 'c_1010_4' : d['c_0101_12'], 'c_1010_3' : d['c_0011_0'], 'c_1010_2' : d['c_0011_0'], 'c_1010_1' : negation(d['c_0011_3']), 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_0110_12'], 'c_1010_8' : d['c_1001_2'], '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_0110_12']), '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_3']), 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : negation(d['c_0011_11']), 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : 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_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_0'], 'c_0110_10' : negation(d['c_0011_8']), 'c_0110_12' : d['c_0110_12'], 'c_0101_12' : d['c_0101_12'], 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : negation(d['c_0101_11']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_11']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_0'], 'c_0101_8' : negation(d['c_0011_11']), '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' : negation(d['c_0011_11']), 'c_0110_8' : d['c_0101_2'], '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_7'], 'c_0110_5' : d['c_0101_11'], 'c_0110_4' : d['c_0101_11'], 'c_0110_7' : d['c_0101_2'], '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_3, c_0011_8, c_0101_0, c_0101_1, c_0101_11, c_0101_12, c_0101_2, c_0101_7, c_0110_12, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t + 203897/13824*c_1001_2^6 - 80239/4608*c_1001_2^5 + 37351/576*c_1001_2^4 - 325375/6912*c_1001_2^3 + 153409/1536*c_1001_2^2 - 38219/864*c_1001_2 + 518131/13824, c_0011_0 - 1, c_0011_10 - 1/2*c_1001_2^6 + 1/2*c_1001_2^5 - c_1001_2^4 + 3/2*c_1001_2^2 - c_1001_2 + 5/2, c_0011_11 - 1/2*c_1001_2^6 + 1/2*c_1001_2^5 - c_1001_2^4 + 1/2*c_1001_2^2 - c_1001_2 + 5/2, c_0011_3 + c_1001_2, c_0011_8 + c_1001_2^6 + 2*c_1001_2^4 + 2*c_1001_2^3 + c_1001_2^2 + 3*c_1001_2 - 1, c_0101_0 - 1, c_0101_1 + 1/2*c_1001_2^6 - 1/2*c_1001_2^5 + c_1001_2^4 - 1/2*c_1001_2^2 - 5/2, c_0101_11 + c_1001_2^4 + c_1001_2^2 + 2*c_1001_2, c_0101_12 + 1, c_0101_2 + 1/2*c_1001_2^6 - 1/2*c_1001_2^5 + c_1001_2^4 - 1/2*c_1001_2^2 + c_1001_2 - 5/2, c_0101_7 + 1/2*c_1001_2^6 + 1/2*c_1001_2^5 + c_1001_2^4 + 2*c_1001_2^3 + 3/2*c_1001_2^2 + 2*c_1001_2 + 1/2, c_0110_12 - 1, c_1001_2^7 + 3*c_1001_2^5 + 2*c_1001_2^4 + 3*c_1001_2^3 + 5*c_1001_2^2 - c_1001_2 + 3 ], 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_3, c_0011_8, c_0101_0, c_0101_1, c_0101_11, c_0101_12, c_0101_2, c_0101_7, c_0110_12, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 2593/1566*c_1001_2^9 - 2105/261*c_1001_2^8 + 466/27*c_1001_2^7 - 2624/87*c_1001_2^6 + 3303/58*c_1001_2^5 - 29441/522*c_1001_2^4 + 149749/1566*c_1001_2^3 - 4105/174*c_1001_2^2 - 89701/1566*c_1001_2 - 19549/1566, c_0011_0 - 1, c_0011_10 - 67/29*c_1001_2^9 + 123/29*c_1001_2^8 - 349/29*c_1001_2^7 + 509/29*c_1001_2^6 - 798/29*c_1001_2^5 + 1006/29*c_1001_2^4 - 701/29*c_1001_2^3 + 490/29*c_1001_2^2 - 23/29*c_1001_2 - 106/29, c_0011_11 + 49/29*c_1001_2^9 + 7/29*c_1001_2^8 + 144/29*c_1001_2^7 + 45/29*c_1001_2^6 + 130/29*c_1001_2^5 + 78/29*c_1001_2^4 - 382/29*c_1001_2^3 + 26/29*c_1001_2^2 - 429/29*c_1001_2 - 135/29, c_0011_3 - c_1001_2^9 - 2*c_1001_2^8 - c_1001_2^7 - 9*c_1001_2^6 + 5*c_1001_2^5 - 17*c_1001_2^4 + 23*c_1001_2^3 - 6*c_1001_2^2 + 16*c_1001_2 + 10, c_0011_8 - 6*c_1001_2^9 + 10*c_1001_2^8 - 30*c_1001_2^7 + 42*c_1001_2^6 - 67*c_1001_2^5 + 84*c_1001_2^4 - 56*c_1001_2^3 + 44*c_1001_2^2 - c_1001_2 - 8, c_0101_0 - 1, c_0101_1 + 46/29*c_1001_2^9 - 97/29*c_1001_2^8 + 250/29*c_1001_2^7 - 404/29*c_1001_2^6 + 589/29*c_1001_2^5 - 795/29*c_1001_2^4 + 583/29*c_1001_2^3 - 381/29*c_1001_2^2 + 66/29*c_1001_2 + 110/29, c_0101_11 - 515/841*c_1001_2^9 + 668/841*c_1001_2^8 - 2548/841*c_1001_2^7 + 2894/841*c_1001_2^6 - 5334/841*c_1001_2^5 + 5981/841*c_1001_2^4 - 3692/841*c_1001_2^3 + 3579/841*c_1001_2^2 + 788/841*c_1001_2 - 185/841, c_0101_12 - 56/29*c_1001_2^9 + 108/29*c_1001_2^8 - 293/29*c_1001_2^7 + 454/29*c_1001_2^6 - 683/29*c_1001_2^5 + 901/29*c_1001_2^4 - 653/29*c_1001_2^3 + 455/29*c_1001_2^2 - 98/29*c_1001_2 - 115/29, c_0101_2 + 46/29*c_1001_2^9 - 97/29*c_1001_2^8 + 250/29*c_1001_2^7 - 404/29*c_1001_2^6 + 589/29*c_1001_2^5 - 795/29*c_1001_2^4 + 583/29*c_1001_2^3 - 381/29*c_1001_2^2 + 95/29*c_1001_2 + 110/29, c_0101_7 + 5/29*c_1001_2^9 - 20/29*c_1001_2^8 + 36/29*c_1001_2^7 - 83/29*c_1001_2^6 + 105/29*c_1001_2^5 - 169/29*c_1001_2^4 + 151/29*c_1001_2^3 - 95/29*c_1001_2^2 + 74/29*c_1001_2 + 17/29, c_0110_12 - 6*c_1001_2^9 + 10*c_1001_2^8 - 30*c_1001_2^7 + 42*c_1001_2^6 - 67*c_1001_2^5 + 84*c_1001_2^4 - 56*c_1001_2^3 + 44*c_1001_2^2 - c_1001_2 - 7, c_1001_2^10 - 2*c_1001_2^9 + 5*c_1001_2^8 - 8*c_1001_2^7 + 11*c_1001_2^6 - 15*c_1001_2^5 + 9*c_1001_2^4 - 5*c_1001_2^3 + 4*c_1001_2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.190 Total time: 0.400 seconds, Total memory usage: 32.09MB