Magma V2.19-8 Wed Aug 21 2013 01:08:01 on localhost [Seed = 2716317841] Type ? for help. Type -D to quit. Loading file "L14n38138__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n38138 geometric_solution 11.97390467 oriented_manifold CS_known -0.0000000000000006 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 2 0132 0132 0132 2310 1 0 0 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 0 0 0 0 0 0 0 0 1 -1 0 4 0 -5 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 0.664083097559 0.460222540331 0 4 6 5 0132 0132 0132 0132 1 0 1 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 -3 0 3 -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 0 0 0 0.592548233632 0.374633879044 0 0 8 7 3201 0132 0132 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 -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 1.034720855503 1.417618039438 7 7 5 0 3201 0132 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 -1 1 -1 0 -4 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 0.982733213859 0.704985725781 6 1 9 8 0213 0132 0132 3120 1 0 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 3 0 -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 0.363211335505 1.206964303876 3 6 1 10 2310 0213 0132 0132 1 0 0 1 0 -1 1 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 4 -3 -1 0 0 -4 4 4 0 0 -4 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.664083097559 0.460222540331 4 11 5 1 0213 0132 0213 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 4 -4 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 0.516579358866 0.863149306176 12 3 2 3 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 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 0.328169440206 0.481952729509 4 11 12 2 3120 1230 2310 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 1 0 -1 0 0 1 -1 0 0 0 0 3 -4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.334598025204 1.860064204032 10 11 10 4 3120 0321 2310 0132 1 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 0 0 0 0 0 0 0 0 0 0 0 -4 0 4 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 0.214833972229 0.988309744712 12 9 5 9 2103 3201 0132 3120 1 0 1 0 0 0 0 0 0 0 1 -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 1 -1 0 0 -4 4 0 0 0 0 0 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.214833972229 0.988309744712 12 6 8 9 3201 0132 3012 0321 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 -4 4 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 0.628001214964 1.008337285852 7 8 10 11 0132 3201 2103 2310 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 0 1 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 0.137742902755 0.720154626899 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0011_8']), 'c_1001_10' : negation(d['c_0101_9']), 'c_1001_12' : d['c_0011_10'], 'c_1001_5' : d['c_1001_4'], 'c_1001_4' : d['c_1001_4'], 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : d['c_1001_4'], 'c_1001_1' : negation(d['c_0011_8']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0101_0']), 'c_1001_2' : d['c_0101_11'], 'c_1001_9' : d['c_0011_9'], 'c_1001_8' : negation(d['c_0011_9']), 'c_1010_12' : d['c_0011_9'], 'c_1010_11' : d['c_1001_4'], 'c_1010_10' : negation(d['c_0011_9']), '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' : 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' : d['c_0011_10'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0101_9']), 'c_1100_4' : d['c_0011_10'], 'c_1100_7' : d['c_0011_12'], 'c_1100_6' : negation(d['c_0101_9']), 'c_1100_1' : negation(d['c_0101_9']), 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : d['c_0011_12'], 's_3_11' : d['1'], 'c_1100_11' : d['c_0011_9'], 'c_1100_10' : negation(d['c_0101_9']), 's_3_10' : d['1'], 'c_1010_7' : negation(d['c_0101_0']), 'c_1010_6' : negation(d['c_0011_8']), 'c_1010_5' : negation(d['c_0101_9']), 'c_1010_4' : negation(d['c_0011_8']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_4'], 'c_1010_0' : d['c_0101_11'], 'c_1010_9' : d['c_1001_4'], 'c_1010_8' : d['c_0101_11'], 'c_1100_8' : d['c_0011_12'], '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_0011_11'], '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_9'], 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_0'], '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_12'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0011_9']), 'c_0110_10' : negation(d['c_0011_11']), 'c_0110_12' : negation(d['c_0101_11']), 'c_0101_12' : d['c_0101_10'], 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : negation(d['c_0101_11']), 'c_0101_6' : d['c_0011_0'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : negation(d['c_0011_11']), 'c_0101_3' : negation(d['c_0101_10']), 'c_0101_2' : negation(d['c_0101_1']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : negation(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' : negation(d['c_0101_1']), '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_11']), 'c_0110_5' : d['c_0101_10'], 'c_0110_4' : negation(d['c_0101_1']), 'c_0110_7' : 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_8, c_0011_9, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_9, c_1001_0, c_1001_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 6559176635/24333446*c_1001_4^7 + 52750249499/24333446*c_1001_4^6 - 87506650993/24333446*c_1001_4^5 + 165880299944/12166723*c_1001_4^4 - 56351805123/12166723*c_1001_4^3 + 208950433313/24333446*c_1001_4^2 - 36279240391/24333446*c_1001_4 + 73321346850/12166723, c_0011_0 - 1, c_0011_10 - 602700/12166723*c_1001_4^7 + 4551903/12166723*c_1001_4^6 - 5897468/12166723*c_1001_4^5 + 28318655/12166723*c_1001_4^4 + 2958433/12166723*c_1001_4^3 + 21435029/12166723*c_1001_4^2 - 666349/12166723*c_1001_4 + 10462289/12166723, c_0011_11 - 1032151/12166723*c_1001_4^7 + 8241251/12166723*c_1001_4^6 - 13325245/12166723*c_1001_4^5 + 51911916/12166723*c_1001_4^4 - 16138430/12166723*c_1001_4^3 + 30485340/12166723*c_1001_4^2 - 8898766/12166723*c_1001_4 + 12569740/12166723, c_0011_12 - 600296/12166723*c_1001_4^7 + 4887908/12166723*c_1001_4^6 - 8136184/12166723*c_1001_4^5 + 28093460/12166723*c_1001_4^4 - 7441936/12166723*c_1001_4^3 + 4188375/12166723*c_1001_4^2 - 1506540/12166723*c_1001_4 + 11328409/12166723, c_0011_8 + 279377/12166723*c_1001_4^7 - 2467371/12166723*c_1001_4^6 + 5393731/12166723*c_1001_4^5 - 16569896/12166723*c_1001_4^4 + 17236379/12166723*c_1001_4^3 - 11044898/12166723*c_1001_4^2 + 20022505/12166723*c_1001_4 - 8400391/12166723, c_0011_9 - 183543/12166723*c_1001_4^7 + 1498795/12166723*c_1001_4^6 - 2892381/12166723*c_1001_4^5 + 11428897/12166723*c_1001_4^4 - 4800942/12166723*c_1001_4^3 + 12162130/12166723*c_1001_4^2 + 4999453/12166723*c_1001_4 + 1994105/12166723, c_0101_0 + 600296/12166723*c_1001_4^7 - 4887908/12166723*c_1001_4^6 + 8136184/12166723*c_1001_4^5 - 28093460/12166723*c_1001_4^4 + 7441936/12166723*c_1001_4^3 - 4188375/12166723*c_1001_4^2 + 1506540/12166723*c_1001_4 - 11328409/12166723, c_0101_1 - 1, c_0101_10 - 600296/12166723*c_1001_4^7 + 4887908/12166723*c_1001_4^6 - 8136184/12166723*c_1001_4^5 + 28093460/12166723*c_1001_4^4 - 7441936/12166723*c_1001_4^3 + 4188375/12166723*c_1001_4^2 - 1506540/12166723*c_1001_4 + 11328409/12166723, c_0101_11 + 1, c_0101_9 + 419157/12166723*c_1001_4^7 - 3053108/12166723*c_1001_4^6 + 3005087/12166723*c_1001_4^5 - 16889758/12166723*c_1001_4^4 - 7759375/12166723*c_1001_4^3 - 9272899/12166723*c_1001_4^2 - 6500921/12166723*c_1001_4 - 8468184/12166723, c_1001_0 - 600296/12166723*c_1001_4^7 + 4887908/12166723*c_1001_4^6 - 8136184/12166723*c_1001_4^5 + 28093460/12166723*c_1001_4^4 - 7441936/12166723*c_1001_4^3 + 4188375/12166723*c_1001_4^2 - 1506540/12166723*c_1001_4 - 838314/12166723, c_1001_4^8 - 8*c_1001_4^7 + 13*c_1001_4^6 - 50*c_1001_4^5 + 15*c_1001_4^4 - 31*c_1001_4^3 + 4*c_1001_4^2 - 22*c_1001_4 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.170 Total time: 0.380 seconds, Total memory usage: 32.09MB