Magma V2.19-8 Wed Aug 21 2013 01:02:16 on localhost [Seed = 357764831] Type ? for help. Type -D to quit. Loading file "L14n14229__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n14229 geometric_solution 12.49956020 oriented_manifold CS_known 0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 0 1 1 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 0 -1 1 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 0.588808824070 0.838099547475 0 5 7 6 0132 0132 0132 0132 0 1 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 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.461510588277 0.778878775649 8 0 5 9 0132 0132 0132 0132 0 1 0 1 0 -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 -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 0.776304118251 0.653614429837 8 10 11 0 3201 0132 0132 0132 0 1 0 1 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 0 0 0 0 0 0 0 0 -1 0 1 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 0.415072790616 0.487243309453 12 7 0 8 0132 0132 0132 0132 0 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 1 -1 0 0 0 -1 1 -1 1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.008224780569 0.788698869070 9 1 12 2 3120 0132 0213 0132 0 1 1 0 0 0 0 0 0 0 0 0 -1 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 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 0.485130471511 0.523287077101 8 10 1 9 1230 3201 0132 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.420403921722 1.324660944588 12 4 10 1 3120 0132 1230 0132 0 1 1 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 -1 1 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 0.731457868380 0.581108540856 2 6 4 3 0132 3012 0132 2310 0 1 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 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 0.743281500078 0.885106696286 11 6 2 5 0213 2310 0132 3120 0 1 1 0 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 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 0.687850411133 0.744701229255 11 3 6 7 2310 0132 2310 3012 0 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 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 0.447558619978 0.937330020177 9 12 10 3 0213 0213 3201 0132 0 1 1 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 -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 0.923364980216 1.245820529721 4 5 11 7 0132 0213 0213 3120 0 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 0 0 0 0 1 -1 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.385129995769 0.621248828883 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0011_0'], 'c_1001_11' : negation(d['c_0101_10']), 'c_1001_10' : d['c_1001_0'], 'c_1001_12' : negation(d['c_0101_10']), 'c_1001_5' : negation(d['c_0101_10']), 'c_1001_4' : d['c_1001_1'], 'c_1001_7' : negation(d['c_0011_6']), 'c_1001_6' : negation(d['c_0101_10']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0101_7']), 'c_1001_2' : d['c_1001_1'], 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : negation(d['c_0011_6']), 'c_1010_12' : negation(d['c_0011_12']), 'c_1010_11' : negation(d['c_0101_7']), 'c_1010_10' : negation(d['c_0101_7']), 's_0_10' : d['1'], 's_3_10' : 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_0011_9'], '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' : negation(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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : negation(d['c_0011_12']), 'c_1100_8' : negation(d['c_0011_10']), 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0011_12']), 'c_1100_4' : negation(d['c_0011_10']), 'c_1100_7' : negation(d['c_0011_9']), 'c_1100_6' : negation(d['c_0011_9']), 'c_1100_1' : negation(d['c_0011_9']), 'c_1100_0' : negation(d['c_0011_10']), 'c_1100_3' : negation(d['c_0011_10']), 'c_1100_2' : negation(d['c_0011_12']), 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0011_10']), 'c_1100_10' : d['c_0011_6'], 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_1'], 'c_1010_6' : negation(d['c_1001_0']), 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : negation(d['c_0011_6']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0101_10']), 'c_1010_0' : d['c_1001_1'], 'c_1010_9' : negation(d['c_0011_0']), 'c_1010_8' : negation(d['c_0101_0']), 's_3_1' : d['1'], 's_3_0' : negation(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' : negation(d['1']), 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : negation(d['c_0101_7']), 's_1_7' : negation(d['1']), 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : negation(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_9'], 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_12']), 'c_0011_7' : d['c_0011_12'], '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' : negation(d['c_0011_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0101_2']), 'c_0110_10' : negation(d['c_0011_9']), 'c_0110_12' : d['c_0101_1'], 'c_0101_12' : d['c_0011_11'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0011_12'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0101_2']), '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_11'], 'c_0101_8' : d['c_0011_11'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_2'], 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : d['c_0011_11'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0011_11'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0011_11'], 'c_0110_7' : d['c_0101_1'], 'c_0011_10' : d['c_0011_10']})} 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_12, c_0011_6, c_0011_9, c_0101_0, c_0101_1, c_0101_10, c_0101_2, c_0101_7, c_1001_0, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 17052497/20672*c_1001_1^7 + 42155007/10336*c_1001_1^6 + 91886715/20672*c_1001_1^5 + 98829223/5168*c_1001_1^4 + 10186787/1216*c_1001_1^3 + 102761763/10336*c_1001_1^2 + 138665745/20672*c_1001_1 + 234569/152, c_0011_0 - 1, c_0011_10 - 11/2*c_1001_1^7 - 6*c_1001_1^6 - 27*c_1001_1^5 - 32*c_1001_1^4 - 26*c_1001_1^3 - 22*c_1001_1^2 - 27/2*c_1001_1 - 3, c_0011_11 - 121/4*c_1001_1^7 - 77/8*c_1001_1^6 - 547/4*c_1001_1^5 - 555/8*c_1001_1^4 - 279/4*c_1001_1^3 - 467/8*c_1001_1^2 - 65/4*c_1001_1 - 5/8, c_0011_12 + 11/8*c_1001_1^7 - 4*c_1001_1^6 + 39/8*c_1001_1^5 - 69/4*c_1001_1^4 - 55/8*c_1001_1^3 - 17/2*c_1001_1^2 - 67/8*c_1001_1 - 9/4, c_0011_6 + 319/8*c_1001_1^7 + 183/8*c_1001_1^6 + 1463/8*c_1001_1^5 + 1097/8*c_1001_1^4 + 901/8*c_1001_1^3 + 789/8*c_1001_1^2 + 317/8*c_1001_1 + 43/8, c_0011_9 - c_1001_1, c_0101_0 + 33*c_1001_1^7 + 25*c_1001_1^6 + 611/4*c_1001_1^5 + 141*c_1001_1^4 + 211/2*c_1001_1^3 + 96*c_1001_1^2 + 187/4*c_1001_1 + 9, c_0101_1 - 1, c_0101_10 - 11*c_1001_1^7 - 37/4*c_1001_1^6 - 51*c_1001_1^5 - 101/2*c_1001_1^4 - 36*c_1001_1^3 - 125/4*c_1001_1^2 - 16*c_1001_1 - 3, c_0101_2 - 495/4*c_1001_1^7 - 80*c_1001_1^6 - 1139/2*c_1001_1^5 - 1863/4*c_1001_1^4 - 1467/4*c_1001_1^3 - 651/2*c_1001_1^2 - 142*c_1001_1 - 91/4, c_0101_7 - 231/4*c_1001_1^7 - 229/8*c_1001_1^6 - 525/2*c_1001_1^5 - 1427/8*c_1001_1^4 - 597/4*c_1001_1^3 - 1059/8*c_1001_1^2 - 99/2*c_1001_1 - 45/8, c_1001_0 + 33/2*c_1001_1^7 + 61/4*c_1001_1^6 + 78*c_1001_1^5 + 165/2*c_1001_1^4 + 62*c_1001_1^3 + 213/4*c_1001_1^2 + 57/2*c_1001_1 + 6, c_1001_1^8 + 12/11*c_1001_1^7 + 54/11*c_1001_1^6 + 64/11*c_1001_1^5 + 52/11*c_1001_1^4 + 4*c_1001_1^3 + 26/11*c_1001_1^2 + 8/11*c_1001_1 + 1/11 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.230 Total time: 0.440 seconds, Total memory usage: 32.09MB