Magma V2.19-8 Tue Aug 20 2013 23:56:51 on localhost [Seed = 1932860297] Type ? for help. Type -D to quit. Loading file "L14n24900__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n24900 geometric_solution 11.33027282 oriented_manifold CS_known 0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 1 1 1 0 0 0 0 0 -1 0 1 0 0 0 0 0 -2 1 1 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 0 0 0 3 -2 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.708845087461 0.636924549308 0 3 6 5 0132 1230 0132 0132 1 1 0 1 0 0 0 0 1 0 -1 0 2 -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 1 0 -1 0 -3 1 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.593655696032 1.298669094547 7 0 5 8 0132 0132 1230 0132 1 0 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 0 0 0 0 0 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.996676708492 0.741128088115 8 9 1 0 0213 0132 3012 0132 1 1 0 0 0 0 0 0 1 0 0 -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 -1 0 1 1 0 0 -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 0.625404910279 1.216372403731 10 6 0 8 0132 1230 0132 0213 1 1 0 1 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 1 -1 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 0.718334697258 0.900242865332 10 11 1 2 2103 0132 0132 3012 1 1 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 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.545033515714 1.097374772019 10 9 4 1 3120 1302 3012 0132 1 1 1 0 0 0 0 0 -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 0 0 0 0 0 -1 1 -1 1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.458449956921 0.678689981652 2 10 11 11 0132 3120 3201 1302 0 0 1 0 0 1 0 -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 -2 0 2 0 0 0 0 0 1 0 -1 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.581876784325 0.347513570523 3 9 2 4 0213 0213 0132 0213 1 0 1 0 0 0 0 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 0 0 0 1 0 0 -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 0.268401415808 1.054664495398 11 3 8 6 3012 0132 0213 2031 1 1 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 1 0 -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 0.444051438384 0.640139683583 4 7 5 6 0132 3120 2103 3120 0 1 1 0 0 0 0 0 -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 0 0 0 0 0 0 0 0 -1 0 1 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.165185314340 0.602741531337 7 5 7 9 2310 0132 2031 1230 1 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 1 -1 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 0.456153304454 0.469637736475 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0101_2']), 'c_1001_10' : negation(d['c_0011_11']), 'c_1001_5' : d['c_0011_8'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_0011_11'], 'c_1001_6' : d['c_0011_10'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0011_0'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : d['c_1001_0'], 'c_1010_11' : d['c_0011_8'], 'c_1010_10' : negation(d['c_0011_0']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : negation(d['c_0011_11']), 'c_0101_10' : d['c_0101_0'], '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_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_1100_5' : negation(d['c_1001_2']), 'c_1100_4' : negation(d['c_1001_1']), 'c_1100_7' : negation(d['c_0011_11']), 'c_1100_6' : negation(d['c_1001_2']), 'c_1100_1' : negation(d['c_1001_2']), 'c_1100_0' : negation(d['c_1001_1']), 'c_1100_3' : negation(d['c_1001_1']), 'c_1100_2' : d['c_0101_6'], 's_3_11' : d['1'], 'c_1100_9' : negation(d['c_1001_1']), 'c_1100_11' : d['c_0011_10'], 'c_1100_10' : negation(d['c_0101_6']), 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0011_10']), 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : negation(d['c_0101_2']), 'c_1010_4' : d['c_0101_6'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0011_8'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_0011_0'], 'c_1010_8' : negation(d['c_1001_1']), 'c_1100_8' : d['c_0101_6'], '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'], '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_3']), 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : negation(d['c_0011_11']), 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : d['c_0011_0'], '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_0011_3']), 'c_0110_10' : d['c_0101_1'], 'c_0101_7' : d['c_0011_3'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0011_8'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_8'], 'c_0101_8' : d['c_0011_3'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_10'], 'c_0110_8' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0011_3'], 'c_0110_5' : d['c_0101_6'], 'c_0110_4' : d['c_0101_0'], 'c_0110_7' : d['c_0101_2'], 'c_0110_6' : d['c_0101_1']})} 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_8, c_0101_0, c_0101_1, c_0101_2, c_0101_6, c_1001_0, c_1001_1, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t + 106745173/2532761*c_1001_0*c_1001_2^5 - 281746715/2532761*c_1001_0*c_1001_2^4 - 101049461/2532761*c_1001_0*c_1001_2^3 + 46273695/230251*c_1001_0*c_1001_2^2 - 167022987/2532761*c_1001_0*c_1001_2 + 131394106/2532761*c_1001_0 + 561584449/58253503*c_1001_2^5 - 1464530623/58253503*c_1001_2^4 - 620701848/58253503*c_1001_2^3 + 241557447/5295773*c_1001_2^2 - 627119440/58253503*c_1001_2 + 750664195/58253503, c_0011_0 - 1, c_0011_10 - c_1001_0*c_1001_2^5 + 2*c_1001_0*c_1001_2^4 + 2*c_1001_0*c_1001_2^3 - 3*c_1001_0*c_1001_2^2 - 2*c_1001_0 - c_1001_2^5 + 2*c_1001_2^4 + 2*c_1001_2^3 - 4*c_1001_2^2 - 1, c_0011_11 - 1/23*c_1001_0*c_1001_2^5 + 20/23*c_1001_0*c_1001_2^4 - 41/23*c_1001_0*c_1001_2^3 - 21/23*c_1001_0*c_1001_2^2 + 84/23*c_1001_0*c_1001_2 - 27/23*c_1001_0 + 8/23*c_1001_2^5 - 22/23*c_1001_2^4 + 6/23*c_1001_2^3 + 30/23*c_1001_2^2 - 51/23*c_1001_2 + 32/23, c_0011_3 - 18/23*c_1001_0*c_1001_2^5 + 61/23*c_1001_0*c_1001_2^4 - 25/23*c_1001_0*c_1001_2^3 - 102/23*c_1001_0*c_1001_2^2 + 109/23*c_1001_0*c_1001_2 - 26/23*c_1001_0 + 6/23*c_1001_2^5 - 28/23*c_1001_2^4 + 16/23*c_1001_2^3 + 57/23*c_1001_2^2 - 67/23*c_1001_2 + 24/23, c_0011_8 + c_1001_0*c_1001_2^5 - 2*c_1001_0*c_1001_2^4 - 2*c_1001_0*c_1001_2^3 + 3*c_1001_0*c_1001_2^2 + c_1001_0*c_1001_2 + c_1001_0 + c_1001_2^5 - 3*c_1001_2^4 + 4*c_1001_2^2 - 2*c_1001_2 + 2, c_0101_0 - c_1001_0*c_1001_2^5 + 3*c_1001_0*c_1001_2^4 - 5*c_1001_0*c_1001_2^2 + 3*c_1001_0*c_1001_2 - 2*c_1001_0 - c_1001_2^5 + 2*c_1001_2^4 + 2*c_1001_2^3 - 3*c_1001_2^2 - c_1001_2 - 1, c_0101_1 - 1, c_0101_2 + c_1001_0 - c_1001_2^3 + c_1001_2^2 + c_1001_2 - 1, c_0101_6 + c_1001_0*c_1001_2^5 - 3*c_1001_0*c_1001_2^4 - c_1001_0*c_1001_2^3 + 6*c_1001_0*c_1001_2^2 - c_1001_0*c_1001_2 + c_1001_0 + 1, c_1001_0^2 + 16/23*c_1001_0*c_1001_2^5 - 44/23*c_1001_0*c_1001_2^4 - 34/23*c_1001_0*c_1001_2^3 + 106/23*c_1001_0*c_1001_2^2 - 10/23*c_1001_0*c_1001_2 + 18/23*c_1001_0 + 10/23*c_1001_2^5 - 16/23*c_1001_2^4 - 27/23*c_1001_2^3 + 49/23*c_1001_2^2 - 12/23*c_1001_2 + 17/23, c_1001_1 + c_1001_2^5 - 2*c_1001_2^4 - 2*c_1001_2^3 + 4*c_1001_2^2 - c_1001_2 + 1, c_1001_2^6 - 3*c_1001_2^5 + 5*c_1001_2^3 - 3*c_1001_2^2 + 2*c_1001_2 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.160 Total time: 0.380 seconds, Total memory usage: 32.09MB