Magma V2.19-8 Wed Aug 21 2013 00:23:01 on localhost [Seed = 290915202] Type ? for help. Type -D to quit. Loading file "K14n12203__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K14n12203 geometric_solution 12.48839380 oriented_manifold CS_known 0.0000000000000005 1 0 torus 0.000000000000 0.000000000000 13 1 2 1 3 0132 0132 0213 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 1 -19 0 18 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.833519452023 0.859373218744 0 0 5 4 0132 0213 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.217269994214 1.121548532445 4 0 6 3 0213 0132 0132 0213 0 0 0 0 0 0 0 0 1 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 -19 0 19 0 0 -1 0 1 0 19 -19 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.368232585423 0.611528699261 7 8 0 2 0132 0132 0132 0213 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 1 -1 0 1 0 0 -1 0 0 0 0 0 18 -18 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.823123217713 0.575690979715 2 5 1 9 0213 0132 0132 0132 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 0 0 0 0 0 0 0 19 0 0 -19 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.163900431130 1.041081732568 10 4 11 1 0132 0132 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.052588343070 0.576517911418 10 12 7 2 1230 0132 3012 0132 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 19 -19 0 -19 0 19 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.365343277750 0.571145706600 3 6 9 10 0132 1230 2103 0132 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 0 0 0 0 0 0 0 0 -19 0 19 -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 0.876365558130 0.896537990400 11 3 9 12 0132 0132 3012 0132 0 0 0 0 0 0 -1 1 0 0 0 0 -1 1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 19 -18 0 0 0 0 18 -18 0 0 18 0 -18 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.296375186808 0.702171972912 7 8 4 11 2103 1230 0132 0132 0 0 0 0 0 0 0 0 0 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 18 0 -18 0 -19 19 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.838971801134 1.021249733987 5 6 7 12 0132 3012 0132 3120 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 -19 19 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 0.401321034238 1.071702984533 8 12 9 5 0132 1302 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 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 -18 18 0 0 -18 0 18 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.466889067987 0.980000519846 10 6 8 11 3120 0132 0132 2031 0 0 0 0 0 0 -1 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 0 18 -18 -1 0 0 1 0 0 0 0 -19 19 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.489785698852 1.208799516258 ==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_12'], 'c_1001_12' : d['c_1001_12'], 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : d['c_1001_0'], 'c_1001_7' : d['c_0011_9'], 'c_1001_6' : d['c_0011_11'], 'c_1001_1' : d['c_1001_0'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_12'], 'c_1001_2' : d['c_1001_12'], 'c_1001_9' : d['c_1001_5'], 'c_1001_8' : negation(d['c_0011_9']), 'c_1010_12' : d['c_0011_11'], 'c_1010_11' : d['c_1001_5'], 'c_1010_10' : negation(d['c_0011_12']), '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_0101_11'], 'c_0101_10' : 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_0011_11' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_1100_1'], 'c_1100_4' : d['c_1100_1'], 'c_1100_7' : negation(d['c_0101_11']), 'c_1100_6' : negation(d['c_0011_9']), 'c_1100_1' : d['c_1100_1'], 'c_1100_0' : d['c_1001_0'], 'c_1100_3' : d['c_1001_0'], 'c_1100_2' : negation(d['c_0011_9']), 's_3_11' : d['1'], 'c_1100_9' : d['c_1100_1'], 'c_1100_11' : d['c_1100_1'], 'c_1100_10' : negation(d['c_0101_11']), 's_0_11' : d['1'], 'c_1010_7' : d['c_0011_12'], 'c_1010_6' : d['c_1001_12'], 'c_1010_5' : d['c_1001_0'], 'c_1010_4' : d['c_1001_5'], 'c_1010_3' : negation(d['c_0011_9']), 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_0'], 'c_1010_0' : d['c_1001_12'], 'c_1010_9' : d['c_0101_5'], 'c_1010_8' : d['c_1001_12'], 'c_1100_8' : negation(d['c_1001_5']), '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_1001_5']), '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' : negation(d['c_0011_11']), 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : d['c_0011_10'], 'c_0011_7' : negation(d['c_0011_11']), 'c_0011_6' : negation(d['c_0011_12']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_11'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_5'], 'c_0110_10' : d['c_0101_5'], 'c_0110_12' : d['c_0101_5'], 'c_0101_12' : d['c_0101_11'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0011_12'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_0']), 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0011_10'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_0']), 'c_0101_9' : d['c_0101_7'], 'c_0101_8' : d['c_0101_5'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_11'], 'c_0110_8' : d['c_0101_11'], 'c_0110_1' : negation(d['c_0011_0']), 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_7'], 'c_0110_2' : negation(d['c_0101_7']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_7'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0011_10']})} 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_9, c_0101_1, c_0101_11, c_0101_5, c_0101_7, c_1001_0, c_1001_12, c_1001_5, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t + 339883292013/992387696*c_1001_5*c_1100_1^7 - 414104844285/496193848*c_1001_5*c_1100_1^6 + 958681085661/496193848*c_1001_5*c_1100_1^5 - 3340339970871/992387696*c_1001_5*c_1100_1^4 + 1529242905621/992387696*c_1001_5*c_1100_1^3 - 165336705321/992387696*c_1001_5*c_1100_1^2 + 209536860375/992387696*c_1001_5*c_1100_1 - 288817105461/496193848*c_1001_5 + 1058969884591/992387696*c_1100_1^\ 7 - 1229618052675/496193848*c_1100_1^6 + 2869017096771/496193848*c_1100_1^5 - 9869762322437/992387696*c_1100_1^4 + 3871657359775/992387696*c_1100_1^3 - 518707593827/992387696*c_1100_1^2 + 737626470581/992387696*c_1100_1 - 795629444227/496193848, c_0011_0 - 1, c_0011_10 - 5/4*c_1001_5*c_1100_1^7 + 27/8*c_1001_5*c_1100_1^6 - 15/2*c_1001_5*c_1100_1^5 + 27/2*c_1001_5*c_1100_1^4 - 59/8*c_1001_5*c_1100_1^3 - 1/8*c_1001_5*c_1100_1^2 - 15/8*c_1001_5*c_1100_1 + 23/8*c_1001_5 - 3/8*c_1100_1^7 + 3/4*c_1100_1^6 - 7/4*c_1100_1^5 + 25/8*c_1100_1^4 - 3/8*c_1100_1^3 + 7/8*c_1100_1^2 - 9/8*c_1100_1 + 3/4, c_0011_11 + 1/8*c_1100_1^6 + 1/4*c_1100_1^4 + 1/8*c_1100_1^3 - 5/8*c_1100_1^2 + 1/8*c_1100_1 + 5/8, c_0011_12 + 13/8*c_1001_5*c_1100_1^7 - 4*c_1001_5*c_1100_1^6 + 37/4*c_1001_5*c_1100_1^5 - 131/8*c_1001_5*c_1100_1^4 + 63/8*c_1001_5*c_1100_1^3 - 11/8*c_1001_5*c_1100_1^2 + 17/8*c_1001_5*c_1100_1 - 2*c_1001_5 - 1/8*c_1100_1^6 - 1/4*c_1100_1^4 - 1/8*c_1100_1^3 + 5/8*c_1100_1^2 - 9/8*c_1100_1 - 5/8, c_0011_9 + 13/8*c_1001_5*c_1100_1^7 - 4*c_1001_5*c_1100_1^6 + 37/4*c_1001_5*c_1100_1^5 - 131/8*c_1001_5*c_1100_1^4 + 63/8*c_1001_5*c_1100_1^3 - 11/8*c_1001_5*c_1100_1^2 + 17/8*c_1001_5*c_1100_1 - 2*c_1001_5 + 1/8*c_1100_1^6 + 1/4*c_1100_1^4 + 1/8*c_1100_1^3 - 5/8*c_1100_1^2 - 7/8*c_1100_1 + 5/8, c_0101_1 + 1/8*c_1100_1^6 + 1/4*c_1100_1^4 + 1/8*c_1100_1^3 - 13/8*c_1100_1^2 + 1/8*c_1100_1 + 5/8, c_0101_11 - c_1001_5 + 7/4*c_1100_1^7 - 4*c_1100_1^6 + 19/2*c_1100_1^5 - 65/4*c_1100_1^4 + 29/4*c_1100_1^3 - 9/4*c_1100_1^2 + 11/4*c_1100_1 - 2, c_0101_5 + c_1001_5 - 7/8*c_1100_1^7 + 2*c_1100_1^6 - 19/4*c_1100_1^5 + 65/8*c_1100_1^4 - 29/8*c_1100_1^3 + 9/8*c_1100_1^2 - 11/8*c_1100_1 + 1, c_0101_7 + 1/8*c_1001_5*c_1100_1^7 + 1/4*c_1001_5*c_1100_1^5 + 1/8*c_1001_5*c_1100_1^4 - 13/8*c_1001_5*c_1100_1^3 + 1/8*c_1001_5*c_1100_1^2 - 11/8*c_1001_5*c_1100_1 + c_1001_5 - 7/8*c_1100_1^7 + 2*c_1100_1^6 - 19/4*c_1100_1^5 + 65/8*c_1100_1^4 - 29/8*c_1100_1^3 + 9/8*c_1100_1^2 - 11/8*c_1100_1 + 1, c_1001_0 - 3/8*c_1100_1^7 + 9/8*c_1100_1^6 - 11/4*c_1100_1^5 + 39/8*c_1100_1^4 - 4*c_1100_1^3 + c_1100_1^2 + 1/4*c_1100_1 + 5/8, c_1001_12 - c_1100_1, c_1001_5^2 - 7/4*c_1001_5*c_1100_1^7 + 4*c_1001_5*c_1100_1^6 - 19/2*c_1001_5*c_1100_1^5 + 65/4*c_1001_5*c_1100_1^4 - 29/4*c_1001_5*c_1100_1^3 + 9/4*c_1001_5*c_1100_1^2 - 11/4*c_1001_5*c_1100_1 + 2*c_1001_5 - 5/8*c_1100_1^7 + 3/4*c_1100_1^6 - 13/4*c_1100_1^5 + 23/8*c_1100_1^4 - 17/8*c_1100_1^3 + 13/8*c_1100_1^2 - 3/8*c_1100_1 - 1/4, c_1100_1^8 - 3*c_1100_1^7 + 7*c_1100_1^6 - 13*c_1100_1^5 + 10*c_1100_1^4 - 3*c_1100_1^3 + c_1100_1^2 - 2*c_1100_1 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 5.440 Total time: 5.650 seconds, Total memory usage: 64.12MB