Magma V2.19-8 Wed Aug 21 2013 00:48:32 on localhost [Seed = 2901063732] Type ? for help. Type -D to quit. Loading file "K14n9019__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K14n9019 geometric_solution 11.53358568 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 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 1 0 -1 0 0 0 0 0 10 0 -10 0 -9 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.233441191777 0.851740301874 0 3 5 2 0132 3012 0132 1230 0 0 0 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 0 0 0 0 -9 9 0 0 0 0 0 -9 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.704539490812 0.872213156293 1 0 6 6 3012 0132 0213 0132 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 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 0 0 1 -1 -9 9 0 0 0 -10 10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.723895242661 0.795086812702 1 7 8 0 1230 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 9 0 0 -9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.098987641611 0.635645092157 8 7 0 8 1023 0213 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 -1 0 1 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 -10 0 10 -10 0 10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.336924206839 1.734054173579 7 9 10 1 3012 0132 0132 0132 0 0 0 0 0 0 0 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 0 0 0 1 0 -10 9 9 0 0 -9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.200380189478 1.018856795014 10 2 2 11 2031 0213 0132 0132 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 -1 0 1 -1 0 1 0 1 -1 0 0 10 -10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.389759986806 1.122374813877 12 3 4 5 0132 0132 0213 1230 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 1 -1 -1 0 10 -9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.901010974262 1.132920278659 10 4 4 3 0132 1023 0132 0132 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 0 10 -10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.299145330046 0.950443198512 12 5 11 11 2031 0132 3012 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0.412274090270 0.894439042392 8 12 6 5 0132 0321 1302 0132 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 -1 1 0 0 0 -10 10 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.125356531105 1.396252318475 12 9 6 9 1023 1230 0132 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.574971276342 0.922110541384 7 11 9 10 0132 1023 1302 0321 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.696732190820 0.400133983449 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_11'], 'c_1001_10' : d['c_0101_11'], 'c_1001_12' : d['c_0101_11'], 'c_1001_5' : d['c_0110_11'], 'c_1001_4' : d['c_1001_0'], 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : d['c_1001_0'], 'c_1001_1' : negation(d['c_0011_11']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0101_5'], 'c_1001_2' : d['c_1001_0'], 'c_1001_9' : negation(d['c_0011_11']), 'c_1001_8' : d['c_0101_1'], 'c_1010_12' : d['c_0110_11'], 'c_1010_11' : d['c_0101_11'], 'c_1010_10' : d['c_0110_11'], '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_0011_6']), '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_1001_11']), 'c_1100_8' : d['c_1100_0'], 'c_0011_12' : d['c_0011_11'], 'c_1100_5' : d['c_0101_6'], 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : d['c_0101_1'], 'c_1100_6' : d['c_1001_11'], 'c_1100_1' : d['c_0101_6'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_1001_11'], 's_3_11' : d['1'], 'c_1100_11' : d['c_1001_11'], 'c_1100_10' : d['c_0101_6'], 's_3_10' : d['1'], 'c_1010_7' : d['c_0101_5'], 'c_1010_6' : d['c_1001_11'], 'c_1010_5' : negation(d['c_0011_11']), 'c_1010_4' : d['c_0101_1'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0011_6'], 'c_1010_0' : d['c_1001_0'], 'c_1010_9' : d['c_0110_11'], 'c_1010_8' : d['c_0101_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' : d['c_0101_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' : negation(d['c_0011_5']), 'c_0011_8' : negation(d['c_0011_10']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : negation(d['c_0011_11']), 'c_0011_6' : d['c_0011_6'], '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_0110_11'], 'c_0110_10' : d['c_0101_5'], 'c_0110_12' : negation(d['c_0011_10']), 'c_0101_12' : d['c_0011_5'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : negation(d['c_0011_10']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_6']), 'c_0101_2' : d['c_0011_6'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_0']), 'c_0101_9' : d['c_0101_11'], 'c_0101_8' : d['c_0101_5'], '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_0101_11'], 'c_0110_8' : negation(d['c_0011_6']), 'c_0110_1' : negation(d['c_0011_0']), 'c_0011_11' : d['c_0011_11'], 'c_0110_3' : negation(d['c_0011_0']), 'c_0110_2' : d['c_0101_6'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_5'], 'c_0110_7' : d['c_0011_5'], 'c_0110_6' : d['c_0101_11']})} 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_5, c_0011_6, c_0101_1, c_0101_11, c_0101_5, c_0101_6, c_0110_11, c_1001_0, c_1001_11, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 20 Groebner basis: [ t + 3655111721968233/978035150290*c_1001_11^3*c_1100_0^4 + 1573205550304097/195607030058*c_1001_11^3*c_1100_0^3 + 3271158548212835/195607030058*c_1001_11^3*c_1100_0^2 + 7728049946917921/489017575145*c_1001_11^3*c_1100_0 - 8755539331438219/978035150290*c_1001_11^3 + 3461242360215554/489017575145*c_1001_11^2*c_1100_0^4 + 988726163078356/97803515029*c_1001_11^2*c_1100_0^3 + 2819349439735742/97803515029*c_1001_11^2*c_1100_0^2 + 5647541494284131/489017575145*c_1001_11^2*c_1100_0 - 4533467995441482/489017575145*c_1001_11^2 + 1781917438889849/489017575145*c_1001_11*c_1100_0^4 + 850850719007435/195607030058*c_1001_11*c_1100_0^3 + 1408222860886736/97803515029*c_1001_11*c_1100_0^2 + 2845546363669267/978035150290*c_1001_11*c_1100_0 - 1643978513149767/489017575145*c_1001_11 - 293762380425647/978035150290*c_1100_0^4 - 162924790143065/195607030058*c_1100_0^3 - 139831989815708/97803515029*c_1100_0^2 - 1880372558506773/978035150290*c_1100_0 + 523234258699333/489017575145, c_0011_0 - 1, c_0011_10 - 14/5*c_1001_11^3*c_1100_0^4 - 3*c_1001_11^3*c_1100_0^3 - 10*c_1001_11^3*c_1100_0^2 - 1/5*c_1001_11^3*c_1100_0 + 27/5*c_1001_11^3 - 6/5*c_1001_11^2*c_1100_0^4 - c_1001_11^2*c_1100_0^3 - 4*c_1001_11^2*c_1100_0^2 + 6/5*c_1001_11^2*c_1100_0 + 13/5*c_1001_11^2 - 1/5*c_1100_0^4 + 1/5*c_1100_0 + 3/5, c_0011_11 - 4*c_1001_11^3*c_1100_0^4 - 4*c_1001_11^3*c_1100_0^3 - 15*c_1001_11^3*c_1100_0^2 + 4*c_1001_11^3 - 7/5*c_1001_11^2*c_1100_0^4 - c_1001_11^2*c_1100_0^3 - 5*c_1001_11^2*c_1100_0^2 + 7/5*c_1001_11^2*c_1100_0 + 6/5*c_1001_11^2 - 2/5*c_1001_11*c_1100_0^4 - c_1001_11*c_1100_0^2 + 7/5*c_1001_11*c_1100_0 + 6/5*c_1001_11, c_0011_5 + 6/5*c_1001_11^3*c_1100_0^4 + c_1001_11^3*c_1100_0^3 + 5*c_1001_11^3*c_1100_0^2 - 1/5*c_1001_11^3*c_1100_0 + 7/5*c_1001_11^3 + 1/5*c_1001_11^2*c_1100_0^4 + c_1001_11^2*c_1100_0^2 - 1/5*c_1001_11^2*c_1100_0 + 7/5*c_1001_11^2 - 1/5*c_1100_0^4 + 1/5*c_1100_0 + 3/5, c_0011_6 - 7/5*c_1001_11^3*c_1100_0^4 - 4*c_1001_11^3*c_1100_0^2 + 27/5*c_1001_11^3*c_1100_0 + 6/5*c_1001_11^3 + c_1001_11^2*c_1100_0^3 + c_1001_11^2*c_1100_0^2 + 4*c_1001_11^2*c_1100_0 - 4/5*c_1001_11*c_1100_0^4 - c_1001_11*c_1100_0^3 - 3*c_1001_11*c_1100_0^2 - 1/5*c_1001_11*c_1100_0 + 7/5*c_1001_11, c_0101_1 - 1/5*c_1100_0^4 - c_1100_0^2 + 1/5*c_1100_0 + 3/5, c_0101_11 - 1/5*c_1001_11^2*c_1100_0^4 - c_1001_11^2*c_1100_0^2 + 1/5*c_1001_11^2*c_1100_0 - 7/5*c_1001_11^2, c_0101_5 + 14/5*c_1001_11^3*c_1100_0^4 + 4*c_1001_11^3*c_1100_0^3 + 11*c_1001_11^3*c_1100_0^2 + 21/5*c_1001_11^3*c_1100_0 - 27/5*c_1001_11^3 + 8/5*c_1001_11^2*c_1100_0^4 + 2*c_1001_11^2*c_1100_0^3 + 6*c_1001_11^2*c_1100_0^2 + 7/5*c_1001_11^2*c_1100_0 - 14/5*c_1001_11^2, c_0101_6 - 7/5*c_1001_11^3*c_1100_0^4 - 4*c_1001_11^3*c_1100_0^2 + 27/5*c_1001_11^3*c_1100_0 + 6/5*c_1001_11^3 + c_1001_11^2*c_1100_0^3 + c_1001_11^2*c_1100_0^2 + 4*c_1001_11^2*c_1100_0 - 2/5*c_1001_11*c_1100_0^4 - c_1001_11*c_1100_0^2 + 12/5*c_1001_11*c_1100_0 + 6/5*c_1001_11, c_0110_11 + 14/5*c_1001_11^3*c_1100_0^4 + 3*c_1001_11^3*c_1100_0^3 + 10*c_1001_11^3*c_1100_0^2 + 1/5*c_1001_11^3*c_1100_0 - 27/5*c_1001_11^3 + 7/5*c_1001_11^2*c_1100_0^4 + c_1001_11^2*c_1100_0^3 + 5*c_1001_11^2*c_1100_0^2 - 7/5*c_1001_11^2*c_1100_0 - 6/5*c_1001_11^2 + 2/5*c_1001_11*c_1100_0^4 + c_1001_11*c_1100_0^2 - 7/5*c_1001_11*c_1100_0 - 6/5*c_1001_11, c_1001_0 + 2/5*c_1100_0^4 + c_1100_0^3 + 2*c_1100_0^2 + 8/5*c_1100_0 - 1/5, c_1001_11^4 - 1/5*c_1001_11^3*c_1100_0^4 + 1/5*c_1001_11^3*c_1100_0 + 3/5*c_1001_11^3 - 1/5*c_1001_11^2*c_1100_0^4 - c_1001_11^2*c_1100_0^3 - c_1001_11^2*c_1100_0^2 + 1/5*c_1001_11^2*c_1100_0 + 3/5*c_1001_11^2 - 9/5*c_1100_0^4 + c_1100_0^3 + 3*c_1100_0^2 + 4/5*c_1100_0 - 3/5, c_1100_0^5 + 2*c_1100_0^4 + 5*c_1100_0^3 + 4*c_1100_0^2 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 9.910 Total time: 10.119 seconds, Total memory usage: 64.12MB