Magma V2.19-8 Tue Aug 20 2013 23:47:57 on localhost [Seed = 1242308650] Type ? for help. Type -D to quit. Loading file "L11n2__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L11n2 geometric_solution 11.38178609 oriented_manifold CS_known 0.0000000000000005 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 -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 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 0.517694855116 0.994942611202 0 0 5 4 0132 1302 0132 0132 1 1 1 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 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 0.588451281189 0.790943454207 5 0 5 4 0132 0132 3012 3120 1 1 1 0 0 0 0 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 0 0 0 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 0.394514260377 0.813839646000 5 6 7 0 2031 0132 0132 0132 1 1 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 0 0 0 0 1 0 -1 -1 0 1 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 0.247662640178 0.979326049759 2 7 1 8 3120 1230 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.493306532240 0.642142692014 2 2 3 1 0132 1230 1302 0132 1 1 0 1 0 1 -1 0 -1 0 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 -1 1 0 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 0.588451281189 0.790943454207 8 3 7 9 0213 0132 0213 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 1 -1 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.488815212620 0.481854744158 10 6 4 3 0132 0213 3012 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 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 0.090051193282 0.773836408910 6 11 4 10 0213 0132 0132 1302 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 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 0.313110637637 0.551744530201 10 11 6 11 1023 1023 0132 1302 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 -1 0 1 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 0.559679694978 1.471071674436 7 9 8 11 0132 1023 2031 1023 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.472492935743 0.325504961517 9 8 9 10 1023 0132 2031 1023 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 -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 0.559679694978 1.471071674436 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0110_11']), 'c_1001_10' : d['c_0101_9'], 'c_1001_5' : d['c_0101_0'], 'c_1001_4' : d['c_1001_4'], 'c_1001_7' : negation(d['c_0011_4']), '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_0101_11'], 'c_1001_2' : negation(d['c_0011_0']), 'c_1001_9' : d['c_0101_11'], 'c_1001_8' : d['c_0101_7'], 'c_1010_11' : d['c_0101_7'], 'c_1010_10' : d['c_0110_11'], '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_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' : 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' : d['c_0101_11'], 'c_1100_8' : d['c_0101_10'], 'c_1100_5' : d['c_0101_10'], 'c_1100_4' : d['c_0101_10'], 'c_1100_7' : negation(d['c_1001_4']), 'c_1100_6' : d['c_0101_11'], 'c_1100_1' : d['c_0101_10'], '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' : negation(d['c_0110_11']), 'c_1100_10' : d['c_0110_11'], 's_0_11' : d['1'], 'c_1010_7' : d['c_0101_11'], 'c_1010_6' : d['c_0101_11'], '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' : d['c_0110_11'], 'c_1010_8' : negation(d['c_0110_11']), '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_10'], 'c_0011_8' : negation(d['c_0011_10']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_10']), '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_0110_11'], 'c_0110_10' : d['c_0101_7'], 'c_0011_11' : d['c_0011_10'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : negation(d['c_0011_10']), 'c_0101_5' : negation(d['c_0011_3']), 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_10'], '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_0101_9'], 'c_0101_8' : negation(d['c_0011_3']), 'c_0011_10' : d['c_0011_10'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0110_11'], 'c_0110_8' : negation(d['c_0101_9']), '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_0011_3']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : negation(d['c_0011_3']), 'c_0110_7' : d['c_0101_10'], 'c_0110_6' : d['c_0101_9']})} 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_3, c_0011_4, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_7, c_0101_9, c_0110_11, 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 - 1903832629248/105625*c_1001_4^10 - 6055016923136/105625*c_1001_4^9 - 2435016671232/21125*c_1001_4^8 - 17026146533376/105625*c_1001_4^7 - 17236810883072/105625*c_1001_4^6 - 12773794103296/105625*c_1001_4^5 - 6852215257088/105625*c_1001_4^4 - 2566269356544/105625*c_1001_4^3 - 124677280384/21125*c_1001_4^2 - 85257217792/105625*c_1001_4 - 4939004736/105625, c_0011_0 - 1, c_0011_10 - 4*c_1001_4^3 - 8*c_1001_4^2 - 7*c_1001_4 - 2, c_0011_3 - c_1001_4, c_0011_4 - 1024*c_1001_4^11 - 6144*c_1001_4^10 - 18176*c_1001_4^9 - 34304*c_1001_4^8 - 45440*c_1001_4^7 - 44032*c_1001_4^6 - 31664*c_1001_4^5 - 16800*c_1001_4^4 - 6404*c_1001_4^3 - 1656*c_1001_4^2 - 259*c_1001_4 - 18, c_0101_0 - 1, c_0101_1 - 2048*c_1001_4^11 - 13312*c_1001_4^10 - 41984*c_1001_4^9 - 83712*c_1001_4^8 - 116224*c_1001_4^7 - 117120*c_1001_4^6 - 86784*c_1001_4^5 - 46896*c_1001_4^4 - 17912*c_1001_4^3 - 4532*c_1001_4^2 - 668*c_1001_4 - 43, c_0101_10 - 1024*c_1001_4^11 - 6144*c_1001_4^10 - 18176*c_1001_4^9 - 34304*c_1001_4^8 - 45440*c_1001_4^7 - 44032*c_1001_4^6 - 31664*c_1001_4^5 - 16800*c_1001_4^4 - 6404*c_1001_4^3 - 1656*c_1001_4^2 - 259*c_1001_4 - 18, c_0101_11 + 2*c_1001_4^2 + 2*c_1001_4 + 1, c_0101_7 + 2*c_1001_4^2 + 2*c_1001_4 + 1, c_0101_9 - 128*c_1001_4^8 - 640*c_1001_4^7 - 1536*c_1001_4^6 - 2240*c_1001_4^5 - 2144*c_1001_4^4 - 1360*c_1001_4^3 - 548*c_1001_4^2 - 124*c_1001_4 - 11, c_0110_11 - 64*c_1001_4^7 - 256*c_1001_4^6 - 496*c_1001_4^5 - 576*c_1001_4^4 - 424*c_1001_4^3 - 192*c_1001_4^2 - 47*c_1001_4 - 4, c_1001_4^12 + 7*c_1001_4^11 + 24*c_1001_4^10 + 105/2*c_1001_4^9 + 647/8*c_1001_4^8 + 367/4*c_1001_4^7 + 1249/16*c_1001_4^6 + 797/16*c_1001_4^5 + 6001/256*c_1001_4^4 + 2005/256*c_1001_4^3 + 443/256*c_1001_4^2 + 113/512*c_1001_4 + 25/2048 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.170 Total time: 0.380 seconds, Total memory usage: 32.09MB