Magma V2.19-8 Wed Aug 21 2013 00:58:55 on localhost [Seed = 1124423734] Type ? for help. Type -D to quit. Loading file "L13n6062__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n6062 geometric_solution 12.26028140 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 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 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.892156428061 0.765409653496 0 5 3 5 0132 0132 0321 0213 1 1 0 1 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 -1 1 0 0 1 -1 -1 4 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.370597163610 0.644424926362 6 0 8 7 0132 0132 0132 0132 1 0 0 1 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 1 -1 0 1 0 0 -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 0.798123560449 1.494464064985 9 4 1 0 0132 0321 0321 0132 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 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 0.939151215519 0.689985306960 6 7 0 3 3012 0132 0132 0321 1 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 -1 0 0 1 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.878495460150 0.858271837275 9 1 10 1 2310 0132 0132 0213 1 0 1 0 0 0 0 0 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 0 1 -1 0 0 -3 3 -1 0 0 1 3 -4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.370597163610 0.644424926362 2 9 11 4 0132 2310 0132 1230 1 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 0 0 -1 0 0 1 1 1 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.154750994439 0.717264629018 8 4 2 10 0321 0132 0132 3201 1 0 1 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 1 -1 0 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.142719363285 0.881514934681 7 10 12 2 0321 3201 0132 0132 1 0 1 0 0 0 0 0 0 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 -1 1 0 0 0 0 0 1 0 -1 0 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.546378802792 0.491780308022 3 12 5 6 0132 2103 3201 3201 0 1 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 0 0 0 0 0 3 -3 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 0.629266785216 1.066458014151 11 7 8 5 1230 2310 2310 0132 1 0 0 1 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 0 0 0 0 0 0 0 2 -1 -1 0 0 -3 3 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.494447276735 0.455033893516 12 10 12 6 0132 3012 0321 0132 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 0.092757605585 0.983560616045 11 9 11 8 0132 2103 0321 0132 1 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 -1 0 1 0 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 0 0 0.092757605585 0.983560616045 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0011_10']), 'c_1001_10' : d['c_1001_10'], 'c_1001_12' : negation(d['c_0011_3']), 'c_1001_5' : d['c_0011_8'], 'c_1001_4' : negation(d['c_1001_10']), 'c_1001_7' : d['c_1001_0'], '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' : d['c_1001_1'], 'c_1001_2' : negation(d['c_1001_10']), 'c_1001_9' : negation(d['c_0011_11']), 'c_1001_8' : negation(d['c_0101_10']), 'c_1010_12' : negation(d['c_0101_10']), 'c_1010_11' : negation(d['c_0101_10']), 'c_1010_10' : d['c_0011_8'], 's_0_10' : d['1'], 's_0_11' : negation(d['1']), 's_0_12' : negation(d['1']), 's_3_12' : negation(d['1']), 's_2_8' : negation(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' : d['1'], 's_2_2' : negation(d['1']), 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : negation(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' : negation(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' : d['1'], 's_0_1' : d['1'], 'c_0011_11' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : negation(d['c_0011_11']), 'c_1100_5' : d['c_0011_8'], 'c_1100_4' : d['c_1001_1'], 'c_1100_7' : negation(d['c_0011_10']), 'c_1100_6' : negation(d['c_0011_3']), 'c_1100_1' : d['c_1001_1'], 'c_1100_0' : d['c_1001_1'], 'c_1100_3' : d['c_1001_1'], 'c_1100_2' : negation(d['c_0011_10']), 's_3_11' : negation(d['1']), 'c_1100_9' : negation(d['c_0011_0']), 'c_1100_11' : negation(d['c_0011_3']), 'c_1100_10' : d['c_0011_8'], 's_3_10' : d['1'], 'c_1010_7' : negation(d['c_1001_10']), 'c_1010_6' : d['c_0101_1'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_1001_0'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0011_8'], 'c_1010_0' : negation(d['c_1001_10']), 'c_1010_9' : d['c_0101_10'], 'c_1010_8' : negation(d['c_1001_10']), 'c_1100_8' : negation(d['c_0011_10']), 's_3_1' : negation(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' : negation(d['1']), 's_3_8' : negation(d['1']), 'c_1100_12' : negation(d['c_0011_10']), 's_1_7' : d['1'], 's_1_6' : negation(d['1']), 's_1_5' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : negation(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_3']), 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_4']), '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_0101_11']), 'c_0110_10' : d['c_0011_11'], 'c_0110_12' : d['c_0101_11'], 'c_0101_12' : negation(d['c_0101_11']), 'c_0101_7' : negation(d['c_0101_11']), 'c_0101_6' : negation(d['c_0101_11']), 'c_0101_5' : d['c_0011_11'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0101_1']), 'c_0101_2' : d['c_0011_4'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_0'], 'c_0101_8' : d['c_0101_11'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0101_1']), 'c_0110_8' : d['c_0011_4'], '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_0101_11']), 'c_0110_5' : negation(d['c_0101_0']), 'c_0110_4' : negation(d['c_0011_3']), 'c_0110_7' : negation(d['c_0011_8']), 'c_0110_6' : d['c_0011_4']})} 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_3, c_0011_4, c_0011_8, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_1001_0, c_1001_1, c_1001_10 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 1597/8*c_1001_10^7 + 4631/4*c_1001_10^6 + 9591/4*c_1001_10^5 + 22407/8*c_1001_10^4 + 13943/8*c_1001_10^3 + 1581/8*c_1001_10^2 - 2255/8*c_1001_10 - 455/4, c_0011_0 - 1, c_0011_10 - 119/316*c_1001_10^7 - 655/316*c_1001_10^6 - 433/158*c_1001_10^5 + 385/316*c_1001_10^4 + 297/79*c_1001_10^3 + 99/79*c_1001_10^2 - 3/2*c_1001_10 - 1/316, c_0011_11 - 16509/24964*c_1001_10^7 - 98579/24964*c_1001_10^6 - 88091/12482*c_1001_10^5 - 82673/24964*c_1001_10^4 + 23457/12482*c_1001_10^3 + 25199/12482*c_1001_10^2 - 142/79*c_1001_10 - 4341/24964, c_0011_3 - 119/316*c_1001_10^7 - 655/316*c_1001_10^6 - 433/158*c_1001_10^5 + 385/316*c_1001_10^4 + 297/79*c_1001_10^3 + 99/79*c_1001_10^2 - 3/2*c_1001_10 - 1/316, c_0011_4 - 61/316*c_1001_10^7 - 515/316*c_1001_10^6 - 765/158*c_1001_10^5 - 1773/316*c_1001_10^4 - 133/158*c_1001_10^3 + 377/158*c_1001_10^2 - 517/316, c_0011_8 - 64/79*c_1001_10^7 - 416/79*c_1001_10^6 - 880/79*c_1001_10^5 - 648/79*c_1001_10^4 + 68/79*c_1001_10^3 + 286/79*c_1001_10^2 - c_1001_10 - 128/79, c_0101_0 - 14/79*c_1001_10^7 - 285/316*c_1001_10^6 - 74/79*c_1001_10^5 + 151/158*c_1001_10^4 + 573/316*c_1001_10^3 + 191/316*c_1001_10^2 - 5/4*c_1001_10 - 191/316, c_0101_1 - 1, c_0101_10 + 51/158*c_1001_10^7 + 371/158*c_1001_10^6 + 479/79*c_1001_10^5 + 1099/158*c_1001_10^4 + 242/79*c_1001_10^3 - 130/79*c_1001_10^2 - c_1001_10 + 181/158, c_0101_11 - 29225/24964*c_1001_10^7 - 194663/24964*c_1001_10^6 - 212683/12482*c_1001_10^5 - 318349/24964*c_1001_10^4 + 28741/12482*c_1001_10^3 + 82155/12482*c_1001_10^2 - 118/79*c_1001_10 - 58529/24964, c_1001_0 - 65/158*c_1001_10^7 - 845/316*c_1001_10^6 - 437/79*c_1001_10^5 - 255/79*c_1001_10^4 + 859/316*c_1001_10^3 + 1129/316*c_1001_10^2 - 3/4*c_1001_10 - 339/316, c_1001_1 - 3/4*c_1001_10^7 - 19/4*c_1001_10^6 - 19/2*c_1001_10^5 - 23/4*c_1001_10^4 + 3*c_1001_10^3 + 5*c_1001_10^2 - 1/2*c_1001_10 - 5/4, c_1001_10^8 + 7*c_1001_10^7 + 17*c_1001_10^6 + 17*c_1001_10^5 + 4*c_1001_10^4 - 5*c_1001_10^3 - c_1001_10^2 + 2*c_1001_10 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.240 Total time: 0.440 seconds, Total memory usage: 32.09MB