Magma V2.19-8 Wed Aug 21 2013 00:51:27 on localhost [Seed = 4155630234] Type ? for help. Type -D to quit. Loading file "L11a510__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L11a510 geometric_solution 12.17135617 oriented_manifold CS_known 0.0000000000000001 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 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 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.552530843526 0.755317466812 0 5 6 6 0132 0132 0213 0132 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 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 0.565382066095 0.544251831907 7 0 7 8 0132 0132 1023 0132 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 0 0 0 0 1 -1 0 -2 0 2 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 0.136444282369 0.852243734360 8 3 3 0 1023 3201 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.515772290384 0.689391856672 9 9 0 9 0132 1230 0132 2031 0 0 1 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 -1 1 0 0 0 0 -3 1 0 2 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.363101640088 1.186797474341 7 1 10 10 1023 0132 0132 0321 2 0 0 0 0 0 -1 1 -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 -5 6 -2 0 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 0.336693455204 0.573915655260 8 1 1 11 3012 0213 0132 0132 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 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 0.895929541985 1.121930910913 2 5 2 11 0132 1023 1023 3120 0 0 0 0 0 1 -1 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 2 -2 0 2 0 1 -3 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1.248378445949 2.015665630105 9 3 2 6 3120 1023 0132 1230 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.552530843526 0.755317466812 4 4 4 8 0132 1302 3012 3120 0 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 0 0 0 0 0 0 0 1 -1 0 0 3 -2 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.764270387850 0.770482083912 12 5 12 5 0132 0321 0321 0132 2 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 -6 1 5 0 0 2 -2 0 0 0 0 3 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.239526152599 1.296276597281 7 12 6 12 3120 0132 0132 0213 2 0 0 0 0 0 0 0 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 1 -1 3 0 0 -3 -1 -2 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.239526152599 1.296276597281 10 11 10 11 0132 0132 0321 0213 2 0 0 0 0 0 0 0 0 0 1 -1 -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 -1 1 0 0 3 -3 -3 0 0 3 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.239526152599 1.296276597281 ==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_1001_10'], 'c_1001_12' : d['c_1001_10'], 'c_1001_5' : d['c_1001_1'], 'c_1001_4' : d['c_0101_7'], 'c_1001_7' : negation(d['c_0101_10']), 'c_1001_6' : d['c_1001_1'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0101_3'], 'c_1001_3' : negation(d['c_0101_3']), 'c_1001_2' : d['c_0101_7'], 'c_1001_9' : negation(d['c_0011_4']), 'c_1001_8' : d['c_0101_3'], 'c_1010_12' : d['c_1001_11'], 'c_1010_11' : d['c_1001_10'], 'c_1010_10' : d['c_1001_1'], 's_3_11' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : negation(d['1']), 'c_0101_12' : negation(d['c_0101_10']), 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : d['1'], 's_2_1' : negation(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' : negation(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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : negation(d['c_0101_7']), 'c_1100_8' : d['c_0101_11'], 'c_0011_12' : negation(d['c_0011_10']), 'c_1100_5' : d['c_1001_10'], 'c_1100_4' : d['c_0011_3'], 'c_1100_7' : negation(d['c_0101_11']), 'c_1100_6' : d['c_1001_11'], 'c_1100_1' : d['c_1001_11'], 'c_1100_0' : d['c_0011_3'], 'c_1100_3' : d['c_0011_3'], 'c_1100_2' : d['c_0101_11'], 's_0_10' : d['1'], 'c_1100_11' : d['c_1001_11'], 'c_1100_10' : d['c_1001_10'], 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0011_10']), 'c_1010_6' : d['c_1001_11'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : negation(d['c_0011_4']), 'c_1010_3' : d['c_0101_3'], 'c_1010_2' : d['c_0101_3'], 'c_1010_1' : d['c_1001_1'], 'c_1010_0' : d['c_0101_7'], 'c_1010_9' : negation(d['c_0011_3']), 'c_1010_8' : d['c_0101_0'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : negation(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' : negation(d['1']), 'c_1100_12' : d['c_1001_10'], 's_1_7' : d['1'], 's_1_6' : negation(d['1']), 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_4']), 'c_0011_8' : d['c_0011_3'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_0'], '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_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0101_10']), 'c_0110_10' : negation(d['c_0101_10']), 'c_0110_12' : d['c_0101_10'], 'c_0110_0' : d['c_0011_6'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0101_10']), 'c_0101_4' : d['c_0011_6'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0101_10']), 'c_0101_1' : d['c_0011_6'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_4']), 'c_0101_8' : d['c_0101_7'], '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_0011_6'], 'c_0110_8' : d['c_0011_6'], 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : d['c_0011_10'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_7'], 'c_0110_5' : negation(d['c_0011_10']), 'c_0110_4' : negation(d['c_0011_4']), 'c_0110_7' : negation(d['c_0101_10']), 'c_0110_6' : d['c_0101_11'], 's_2_9' : d['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_3, c_0011_4, c_0011_6, c_0101_0, c_0101_10, c_0101_11, c_0101_3, c_0101_7, c_1001_1, c_1001_10, c_1001_11 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t + 20472978313415/2836526972048*c_1001_10^10 - 121508700443065/5673053944096*c_1001_10^9 + 430496596664521/11346107888192*c_1001_10^8 - 128893186104283/2836526972048*c_1001_10^7 + 631686893764625/11346107888192*c_1001_10^6 - 150785946268189/2836526972048*c_1001_10^5 + 479075074860881/11346107888192*c_1001_10^4 - 2089419958195/73676025248*c_1001_10^3 + 48558837969447/2836526972048*c_1001_10^2 - 20213231181397/2836526972048*c_1001_10 + 18255884076667/11346107888192, c_0011_0 - 1, c_0011_10 - c_1001_10^2 - c_1001_10, c_0011_3 - 8*c_1001_10^10 + 16*c_1001_10^9 - 12*c_1001_10^8 - c_1001_10^7 - 7*c_1001_10^5 + 24*c_1001_10^4 - 13*c_1001_10^3 + 11*c_1001_10^2 - 9*c_1001_10 + 3, c_0011_4 - 1, c_0011_6 + 4*c_1001_10^10 - 6*c_1001_10^9 - 5*c_1001_10^8 + 22*c_1001_10^7 - 29*c_1001_10^6 + 34*c_1001_10^5 - 47*c_1001_10^4 + 32*c_1001_10^3 - 22*c_1001_10^2 + 14*c_1001_10 - 5, c_0101_0 - 4*c_1001_10^10 + 6*c_1001_10^9 + 5*c_1001_10^8 - 22*c_1001_10^7 + 29*c_1001_10^6 - 34*c_1001_10^5 + 47*c_1001_10^4 - 32*c_1001_10^3 + 22*c_1001_10^2 - 14*c_1001_10 + 4, c_0101_10 - c_1001_10^2, c_0101_11 - 1, c_0101_3 + 4*c_1001_10^10 - 6*c_1001_10^9 + 3*c_1001_10^8 + 2*c_1001_10^7 + c_1001_10^6 + 6*c_1001_10^5 - 12*c_1001_10^4 + 2*c_1001_10^3 - 4*c_1001_10^2 + 4*c_1001_10 + 1, c_0101_7 - 4*c_1001_10^10 + 10*c_1001_10^9 - 17*c_1001_10^8 + 21*c_1001_10^7 - 29*c_1001_10^6 + 27*c_1001_10^5 - 23*c_1001_10^4 + 19*c_1001_10^3 - 11*c_1001_10^2 + 5*c_1001_10 - 2, c_1001_1 - 1, c_1001_10^11 - 5/2*c_1001_10^10 + 17/4*c_1001_10^9 - 21/4*c_1001_10^8 + 29/4*c_1001_10^7 - 27/4*c_1001_10^6 + 23/4*c_1001_10^5 - 19/4*c_1001_10^4 + 3*c_1001_10^3 - 3/2*c_1001_10^2 + 3/4*c_1001_10 - 1/4, c_1001_11 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.240 seconds, Total memory usage: 32.09MB