Magma V2.19-8 Wed Aug 21 2013 01:08:02 on localhost [Seed = 2934486941] Type ? for help. Type -D to quit. Loading file "L14n38138__sl2_c3.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' : 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' : d['1'], 's_2_6' : negation(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' : negation(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_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' : 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_0011_11'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : negation(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 + 116902017/4436794*c_1001_4^7 - 1278505273/11091985*c_1001_4^6 + 771896502/11091985*c_1001_4^5 - 4094858881/22183970*c_1001_4^4 - 687924962/11091985*c_1001_4^3 - 1414631553/4436794*c_1001_4^2 + 2498627369/11091985*c_1001_4 - 7729018159/22183970, c_0011_0 - 1, c_0011_10 - 800/30389*c_1001_4^7 + 5827/30389*c_1001_4^6 - 10020/30389*c_1001_4^5 + 5035/30389*c_1001_4^4 - 19941/30389*c_1001_4^3 - 6283/30389*c_1001_4^2 - 68759/30389*c_1001_4 + 8263/30389, c_0011_11 - 4827/30389*c_1001_4^7 + 17647/30389*c_1001_4^6 + 2599/30389*c_1001_4^5 + 30190/30389*c_1001_4^4 + 15026/30389*c_1001_4^3 + 55878/30389*c_1001_4^2 - 29808/30389*c_1001_4 + 19126/30389, c_0011_12 + 5772/30389*c_1001_4^7 - 19402/30389*c_1001_4^6 - 9756/30389*c_1001_4^5 - 29490/30389*c_1001_4^4 - 48640/30389*c_1001_4^3 - 79415/30389*c_1001_4^2 + 4858/30389*c_1001_4 - 16921/30389, c_0011_8 + 1141/30389*c_1001_4^7 - 2119/30389*c_1001_4^6 - 7741/30389*c_1001_4^5 - 10410/30389*c_1001_4^4 - 10647/30389*c_1001_4^3 - 37648/30389*c_1001_4^2 - 10991/30389*c_1001_4 - 17597/30389, c_0011_9 - 161/30389*c_1001_4^7 + 299/30389*c_1001_4^6 + 4821/30389*c_1001_4^5 - 14751/30389*c_1001_4^4 + 3926/30389*c_1001_4^3 - 2518/30389*c_1001_4^2 - 10381/30389*c_1001_4 - 20635/30389, c_0101_0 - 5772/30389*c_1001_4^7 + 19402/30389*c_1001_4^6 + 9756/30389*c_1001_4^5 + 29490/30389*c_1001_4^4 + 48640/30389*c_1001_4^3 + 79415/30389*c_1001_4^2 - 4858/30389*c_1001_4 + 16921/30389, c_0101_1 - 1, c_0101_10 + 53604/151945*c_1001_4^7 - 186376/151945*c_1001_4^6 - 85296/151945*c_1001_4^5 - 243924/151945*c_1001_4^4 - 53952/30389*c_1001_4^3 - 558597/151945*c_1001_4^2 + 211276/151945*c_1001_4 + 31093/30389, c_0101_11 - 1, c_0101_9 - 961/30389*c_1001_4^7 + 6126/30389*c_1001_4^6 - 5199/30389*c_1001_4^5 - 9716/30389*c_1001_4^4 - 16015/30389*c_1001_4^3 - 8801/30389*c_1001_4^2 - 48751/30389*c_1001_4 - 12372/30389, c_1001_0 + 5772/30389*c_1001_4^7 - 19402/30389*c_1001_4^6 - 9756/30389*c_1001_4^5 - 29490/30389*c_1001_4^4 - 48640/30389*c_1001_4^3 - 79415/30389*c_1001_4^2 + 4858/30389*c_1001_4 - 47310/30389, c_1001_4^8 - 4*c_1001_4^7 + c_1001_4^6 - 6*c_1001_4^5 - 5*c_1001_4^4 - 13*c_1001_4^3 + 4*c_1001_4^2 - 10*c_1001_4 - 5 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.150 Total time: 0.360 seconds, Total memory usage: 32.09MB