Magma V2.19-8 Tue Aug 20 2013 23:47:47 on localhost [Seed = 1932859679] Type ? for help. Type -D to quit. Loading file "L11n17__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L11n17 geometric_solution 11.38178609 oriented_manifold CS_known 0.0000000000000003 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 1 0132 0132 0132 2031 1 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 0 0 0 0 0 1 -1 0 0 0 0 0 -1 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.605485739623 0.813839646000 0 0 5 4 0132 1302 0132 0132 1 1 1 0 0 0 -1 1 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 4 -4 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 0.411548718811 0.790943454207 5 0 5 4 0132 0132 3012 3120 1 1 1 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 -1 0 1 0 0 1 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.482305144884 0.994942611202 5 6 7 0 2031 0132 0132 0132 1 1 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 1 0 -1 -5 0 5 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 0.752337359822 0.979326049759 2 8 1 7 3120 0132 0132 1230 1 1 1 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 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.242707453196 0.959731880493 2 2 3 1 0132 1230 1302 0132 1 1 0 1 0 0 -1 1 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 -1 5 -4 1 0 -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 0.411548718811 0.790943454207 9 3 8 10 0132 0132 2103 0132 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 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 0.777991367564 1.370929090227 4 9 8 3 3012 0132 2031 0132 1 1 1 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 0 0 0 0 0 0 0 0 0 5 -5 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.362258257850 0.542346751722 6 4 11 7 2103 0132 0132 1302 1 1 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 0 0 0 4 1 -5 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 1.037550399794 1.022776234324 6 7 10 11 0132 0132 0213 3120 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 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 0.527507064257 0.325504961517 11 9 6 11 2103 0213 0132 3201 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 0 0 0 0 0 0 0 0 0 0 0 -1 1 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 0.225923878401 0.593822182718 9 10 10 8 3120 2310 2103 0132 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 0 0 0 0 0 0 0 0 0 0 1 0 -1 -1 0 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 0.225923878401 0.593822182718 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_10'], 'c_1001_10' : d['c_1001_10'], 'c_1001_5' : d['c_0101_0'], 'c_1001_4' : d['c_1001_4'], 'c_1001_7' : negation(d['c_0011_11']), 'c_1001_6' : negation(d['c_0011_4']), 'c_1001_1' : d['c_0101_1'], 'c_1001_0' : negation(d['c_0011_4']), 'c_1001_3' : d['c_1001_10'], 'c_1001_2' : negation(d['c_0011_0']), 'c_1001_9' : d['c_1001_10'], 'c_1001_8' : d['c_0101_7'], 'c_1010_11' : d['c_0101_7'], 'c_1010_10' : negation(d['c_0011_10']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0011_10'], 'c_0101_10' : d['c_0011_10'], 's_2_0' : negation(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' : negation(d['1']), 's_2_6' : d['1'], 's_2_7' : 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' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : negation(d['c_0011_10']), 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_0101_3'], 'c_1100_4' : d['c_0101_3'], 'c_1100_7' : negation(d['c_1001_4']), 'c_1100_6' : negation(d['c_0011_11']), 'c_1100_1' : d['c_0101_3'], 'c_1100_0' : negation(d['c_1001_4']), 'c_1100_3' : negation(d['c_1001_4']), 'c_1100_2' : negation(d['c_0101_0']), 's_3_11' : d['1'], 'c_1100_11' : d['c_0101_7'], 'c_1100_10' : negation(d['c_0011_11']), 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_10'], 'c_1010_6' : d['c_1001_10'], 'c_1010_5' : d['c_0101_1'], 'c_1010_4' : d['c_0101_7'], 'c_1010_3' : negation(d['c_0011_4']), 'c_1010_2' : negation(d['c_0011_4']), 'c_1010_1' : d['c_1001_4'], 'c_1010_0' : negation(d['c_0011_0']), 'c_1010_9' : negation(d['c_0011_11']), 'c_1010_8' : d['c_1001_4'], 'c_1100_8' : d['c_0101_7'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : negation(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'], '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_3'], 'c_0011_8' : negation(d['c_0011_4']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_3']), 'c_0011_6' : negation(d['c_0011_3']), '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' : d['c_0101_6'], 'c_0110_10' : negation(d['c_0101_7']), 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0011_3']), 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_1'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_10'], 'c_0101_8' : d['c_0101_6'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_6'], 'c_0110_8' : d['c_0011_11'], 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : d['c_0011_11'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_3']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : negation(d['c_0011_3']), 'c_0110_7' : d['c_0101_3'], 'c_0110_6' : d['c_0011_10']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_3, c_0011_4, c_0101_0, c_0101_1, c_0101_3, c_0101_6, c_0101_7, c_1001_10, c_1001_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 291063332864/105625*c_1001_4^11 - 1297864032256/105625*c_1001_4^10 - 17900437504/625*c_1001_4^9 - 4673050558464/105625*c_1001_4^8 - 5197073252352/105625*c_1001_4^7 - 4331710062592/105625*c_1001_4^6 - 210377506816/8125*c_1001_4^5 - 1302065768448/105625*c_1001_4^4 - 456548379136/105625*c_1001_4^3 - 111275364736/105625*c_1001_4^2 - 3483646976/21125*c_1001_4 - 1279934784/105625, c_0011_0 - 1, c_0011_10 + 16*c_1001_4^5 + 32*c_1001_4^4 + 36*c_1001_4^3 + 24*c_1001_4^2 + 9*c_1001_4 + 2, c_0011_11 + 256*c_1001_4^9 + 1024*c_1001_4^8 + 2112*c_1001_4^7 + 2816*c_1001_4^6 + 2640*c_1001_4^5 + 1792*c_1001_4^4 + 880*c_1001_4^3 + 304*c_1001_4^2 + 67*c_1001_4 + 8, c_0011_3 - c_1001_4, c_0011_4 - 1024*c_1001_4^11 - 4096*c_1001_4^10 - 8448*c_1001_4^9 - 11264*c_1001_4^8 - 10368*c_1001_4^7 - 6656*c_1001_4^6 - 2768*c_1001_4^5 - 512*c_1001_4^4 + 172*c_1001_4^3 + 160*c_1001_4^2 + 51*c_1001_4 + 8, c_0101_0 - 1, c_0101_1 - 2048*c_1001_4^11 - 9216*c_1001_4^10 - 21504*c_1001_4^9 - 33024*c_1001_4^8 - 36352*c_1001_4^7 - 29824*c_1001_4^6 - 18432*c_1001_4^5 - 8528*c_1001_4^4 - 2872*c_1001_4^3 - 660*c_1001_4^2 - 92*c_1001_4 - 5, c_0101_3 - 1024*c_1001_4^11 - 4096*c_1001_4^10 - 8448*c_1001_4^9 - 11264*c_1001_4^8 - 10368*c_1001_4^7 - 6656*c_1001_4^6 - 2768*c_1001_4^5 - 512*c_1001_4^4 + 172*c_1001_4^3 + 160*c_1001_4^2 + 51*c_1001_4 + 8, c_0101_6 - 128*c_1001_4^8 - 384*c_1001_4^7 - 640*c_1001_4^6 - 704*c_1001_4^5 - 544*c_1001_4^4 - 304*c_1001_4^3 - 116*c_1001_4^2 - 28*c_1001_4 - 3, c_0101_7 + 2*c_1001_4^2 + 2*c_1001_4 + 1, c_1001_10 + 2*c_1001_4^2 + 2*c_1001_4 + 1, c_1001_4^12 + 5*c_1001_4^11 + 13*c_1001_4^10 + 45/2*c_1001_4^9 + 227/8*c_1001_4^8 + 109/4*c_1001_4^7 + 325/16*c_1001_4^6 + 189/16*c_1001_4^5 + 1361/256*c_1001_4^4 + 463/256*c_1001_4^3 + 57/128*c_1001_4^2 + 37/512*c_1001_4 + 13/2048 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.060 Total time: 0.260 seconds, Total memory usage: 32.09MB