Magma V2.19-8 Wed Aug 21 2013 00:53:20 on localhost [Seed = 3153964628] Type ? for help. Type -D to quit. Loading file "L12n1476__sl2_c5.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n1476 geometric_solution 12.27656278 oriented_manifold CS_known -0.0000000000000000 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 2 0132 0132 0132 0213 0 2 1 2 0 1 1 -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 -1 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 0.482103104558 0.791264748372 0 4 6 5 0132 0132 0132 0132 1 2 2 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 -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 0.534115659911 1.035112525283 7 0 4 0 0132 0132 1230 0213 0 1 2 1 0 -1 -1 2 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 1 -1 -1 0 0 1 0 0 0 0 2 -1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.482103104558 0.791264748372 7 4 4 0 1302 1230 1302 0132 0 2 2 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 -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 0.438450765981 0.921657855247 3 1 3 2 2031 0132 3012 3012 1 0 1 2 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 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 0.482103104558 0.791264748372 8 9 1 10 0132 0132 0132 0132 1 2 2 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 0 0 0 0 0 -2 1 1 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 0.014273215461 0.967576145235 11 9 12 1 0132 0213 0132 0132 1 2 1 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 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 0.676092120760 0.978274829085 2 3 11 9 0132 2031 0321 2103 2 1 1 2 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 0 -1 -2 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.534115659911 1.035112525283 5 10 12 11 0132 1023 2103 2103 2 2 2 2 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 -1 -1 2 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 -0.021142588974 0.683684830211 10 5 6 7 1023 0132 0213 2103 1 1 2 2 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 2 0 -2 -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 0.305015822794 0.921216558895 8 9 5 12 1023 1023 0132 0132 1 2 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 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 -0.465403766583 1.485684420578 6 12 7 8 0132 3120 0321 2103 2 2 2 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 -1 1 0 0 0 0 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 0.516665963123 0.507152355819 8 11 10 6 2103 3120 0132 0132 1 2 2 2 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 1 -2 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.336513439400 0.341170662744 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0110_9']), 'c_1001_10' : negation(d['c_0011_11']), 'c_1001_12' : d['c_0110_9'], 'c_1001_5' : negation(d['c_0011_3']), 'c_1001_4' : negation(d['c_0011_3']), 'c_1001_7' : negation(d['c_0101_0']), 'c_1001_6' : negation(d['c_0011_11']), 'c_1001_1' : negation(d['c_0101_2']), 'c_1001_0' : d['c_0101_4'], 'c_1001_3' : d['c_0110_4'], 'c_1001_2' : d['c_0110_4'], 'c_1001_9' : negation(d['c_0011_11']), 'c_1001_8' : d['c_0011_12'], 'c_1010_12' : negation(d['c_0011_11']), 'c_1010_11' : negation(d['c_0011_12']), 'c_1010_10' : d['c_0110_9'], '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' : negation(d['1']), 'c_0101_11' : d['c_0101_1'], 'c_0101_10' : d['c_0011_12'], 's_2_0' : negation(d['1']), 's_2_1' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : negation(d['1']), 's_2_4' : d['1'], 's_2_5' : negation(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' : negation(d['1']), 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_0011_11' : d['c_0011_11'], 'c_1100_8' : negation(d['c_0101_6']), 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_1100_1'], 'c_1100_4' : negation(d['c_0110_4']), 'c_1100_7' : negation(d['c_0110_9']), 'c_1100_6' : d['c_1100_1'], 'c_1100_1' : d['c_1100_1'], 'c_1100_0' : d['c_0101_4'], 'c_1100_3' : d['c_0101_4'], 'c_1100_2' : d['c_0110_4'], 's_3_11' : d['1'], 'c_1100_9' : negation(d['c_0101_2']), 'c_1100_11' : negation(d['c_0101_0']), 'c_1100_10' : d['c_1100_1'], 's_0_11' : d['1'], 'c_1010_7' : d['c_0011_3'], 'c_1010_6' : negation(d['c_0101_2']), 'c_1010_5' : negation(d['c_0011_11']), 'c_1010_4' : negation(d['c_0101_2']), 'c_1010_3' : d['c_0101_4'], 'c_1010_2' : d['c_0101_4'], 'c_1010_1' : negation(d['c_0011_3']), 'c_1010_0' : d['c_0110_4'], 'c_1010_9' : negation(d['c_0011_3']), 'c_1010_8' : d['c_0011_12'], 's_3_1' : negation(d['1']), 's_3_0' : d['1'], 's_3_3' : negation(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' : negation(d['1']), 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : d['c_1100_1'], 's_1_7' : d['1'], 's_1_6' : negation(d['1']), 's_1_5' : negation(d['1']), 's_1_4' : negation(d['1']), 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : negation(d['1']), 's_1_0' : d['1'], 's_1_9' : negation(d['1']), 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_10'], 'c_0011_8' : d['c_0011_10'], 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : d['c_0011_0'], '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_0011_12'], 'c_0110_12' : d['c_0101_6'], 'c_0101_12' : d['c_0011_12'], 'c_0101_7' : negation(d['c_0101_1']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0011_0']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_11']), 'c_0101_8' : d['c_0011_12'], '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_0110_9'], 'c_0110_8' : d['c_0101_0'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_1']), 'c_0110_5' : d['c_0011_12'], 'c_0110_4' : d['c_0110_4'], '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_12, c_0011_3, c_0101_0, c_0101_1, c_0101_2, c_0101_4, c_0101_6, c_0110_4, c_0110_9, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 28993/232*c_1100_1^7 - 6465/16*c_1100_1^6 + 95663/928*c_1100_1^5 + 133305/232*c_1100_1^4 - 293351/1856*c_1100_1^3 - 4061675/7424*c_1100_1^2 + 3650855/14848*c_1100_1 + 913669/14848, c_0011_0 - 1, c_0011_10 + 513/29*c_1100_1^7 - 41/2*c_1100_1^6 - 1945/116*c_1100_1^5 + 636/29*c_1100_1^4 + 1185/232*c_1100_1^3 - 5211/928*c_1100_1^2 + 4383/1856*c_1100_1 - 2575/1856, c_0011_11 + 688/29*c_1100_1^7 - 24*c_1100_1^6 - 748/29*c_1100_1^5 + 720/29*c_1100_1^4 + 354/29*c_1100_1^3 - 449/58*c_1100_1^2 + 113/116*c_1100_1 - 77/116, c_0011_12 + 103/29*c_1100_1^7 + 1/2*c_1100_1^6 - 1295/116*c_1100_1^5 + 68/29*c_1100_1^4 + 2311/232*c_1100_1^3 - 1437/928*c_1100_1^2 - 6023/1856*c_1100_1 + 695/1856, c_0011_3 - 608/29*c_1100_1^7 + 16*c_1100_1^6 + 920/29*c_1100_1^5 - 496/29*c_1100_1^4 - 588/29*c_1100_1^3 + 135/29*c_1100_1^2 + 147/58*c_1100_1 + 3/58, c_0101_0 - 1, c_0101_1 + 608/29*c_1100_1^7 - 16*c_1100_1^6 - 920/29*c_1100_1^5 + 496/29*c_1100_1^4 + 588/29*c_1100_1^3 - 135/29*c_1100_1^2 - 147/58*c_1100_1 - 3/58, c_0101_2 + 608/29*c_1100_1^7 - 16*c_1100_1^6 - 920/29*c_1100_1^5 + 496/29*c_1100_1^4 + 588/29*c_1100_1^3 - 135/29*c_1100_1^2 - 59/29*c_1100_1 - 16/29, c_0101_4 - 1, c_0101_6 - 513/29*c_1100_1^7 + 41/2*c_1100_1^6 + 1945/116*c_1100_1^5 - 636/29*c_1100_1^4 - 1185/232*c_1100_1^3 + 5211/928*c_1100_1^2 - 4383/1856*c_1100_1 + 2575/1856, c_0110_4 - 608/29*c_1100_1^7 + 16*c_1100_1^6 + 920/29*c_1100_1^5 - 496/29*c_1100_1^4 - 588/29*c_1100_1^3 + 135/29*c_1100_1^2 + 147/58*c_1100_1 + 61/58, c_0110_9 - c_1100_1, c_1100_1^8 - 3/2*c_1100_1^7 - 3/4*c_1100_1^6 + 7/4*c_1100_1^5 + 1/8*c_1100_1^4 - 23/32*c_1100_1^3 + 9/64*c_1100_1^2 + 1/64 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.240 seconds, Total memory usage: 32.09MB