Magma V2.19-8 Wed Aug 21 2013 01:00:16 on localhost [Seed = 425656863] Type ? for help. Type -D to quit. Loading file "L13n915__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n915 geometric_solution 12.12039739 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 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 0 0 0 0 0 -1 0 1 -5 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.024481973757 1.693310733182 0 5 7 6 0132 0132 0132 0132 1 1 1 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 5 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.991463451103 0.590435641163 7 0 5 3 0132 0132 0132 3120 1 1 1 0 0 0 0 0 0 0 0 0 1 0 0 -1 1 0 -1 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 6 0 0 -6 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.008536548897 0.590435641163 2 6 8 0 3120 2310 0132 0132 1 1 1 1 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 -1 1 0 0 0 0 6 -1 0 -5 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.512240986878 0.846655366591 5 7 0 9 0132 0132 0132 0132 1 1 1 0 0 0 0 0 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 0 0 0 0 0 0 0 0 -6 0 6 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.512240986878 0.846655366591 4 1 10 2 0132 0132 0132 0132 1 1 0 1 0 0 0 0 0 0 0 0 -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 0 0 0 0 0 -1 1 -1 0 0 1 0 5 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.510884632788 0.886796972321 7 11 1 3 2103 0132 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 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 0.510884632788 0.886796972321 2 4 6 1 0132 0132 2103 0132 1 1 0 1 0 0 0 0 0 0 0 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 -1 0 1 0 0 0 0 0 -6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.738443349337 0.432312812961 10 10 9 3 2103 3012 0132 0132 1 1 1 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 -1 0 1 0 0 0 0 0 1 0 -1 -5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.340907634005 0.632155141281 11 12 4 8 2031 0132 0132 0132 1 1 1 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 0 0 0 0 0 0 0 0 6 0 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.022193547224 0.839326418095 8 11 8 5 1230 0321 2103 0132 1 1 1 1 0 0 0 0 0 0 0 0 -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 0 0 0 -1 0 0 1 -5 0 0 5 1 -6 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.339118980984 1.225491283483 12 6 9 10 3120 0132 1302 0321 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 -6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.031481932982 1.190599131267 12 9 12 11 2310 0132 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.031481932982 1.190599131267 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_10'], 'c_1001_10' : d['c_0011_8'], 'c_1001_12' : negation(d['c_0011_10']), 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : d['c_1001_1'], 'c_1001_7' : negation(d['c_0011_11']), 'c_1001_6' : d['c_1001_5'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : negation(d['c_0011_3']), 'c_1001_3' : negation(d['c_0101_10']), 'c_1001_2' : d['c_1001_1'], 'c_1001_9' : negation(d['c_0011_11']), 'c_1001_8' : negation(d['c_0011_10']), 'c_1010_12' : negation(d['c_0011_11']), 'c_1010_11' : d['c_1001_5'], 'c_1010_10' : d['c_1001_5'], 's_0_10' : d['1'], 's_0_11' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 'c_0101_12' : d['c_0011_10'], 'c_0101_11' : d['c_0011_12'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : d['1'], 's_2_1' : 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' : negation(d['1']), 's_2_7' : negation(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' : negation(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_0011_11' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0101_3']), 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : negation(d['c_0011_3']), 'c_1100_6' : negation(d['c_0011_3']), 'c_1100_1' : negation(d['c_0011_3']), 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : negation(d['c_0101_3']), 's_3_11' : d['1'], 'c_1100_11' : d['c_0011_8'], 'c_1100_10' : negation(d['c_0101_3']), 's_3_10' : d['1'], 'c_1010_7' : d['c_1001_1'], 'c_1010_6' : d['c_0101_10'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : negation(d['c_0011_11']), 'c_1010_3' : negation(d['c_0011_3']), 'c_1010_2' : negation(d['c_0011_3']), 'c_1010_1' : d['c_1001_5'], 'c_1010_0' : d['c_1001_1'], 'c_1010_9' : negation(d['c_0011_10']), 'c_1010_8' : negation(d['c_0101_10']), 'c_1100_8' : d['c_1100_0'], 's_3_1' : negation(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' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : negation(d['c_0011_12']), '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' : negation(d['c_0011_12']), 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_0']), 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : negation(d['c_0011_11']), '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_10']), 'c_0110_10' : d['c_0011_8'], 'c_0110_12' : negation(d['c_0011_10']), 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_0'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0011_8'], 'c_0101_4' : d['c_0101_1'], '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_8'], 'c_0101_8' : d['c_0101_10'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_10'], 'c_0110_8' : d['c_0101_3'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_1100_0'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0011_8'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0011_3'], 's_2_9' : d['1']})} 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_3, c_0011_8, c_0101_0, c_0101_1, c_0101_10, c_0101_3, c_1001_1, c_1001_5, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t - 328641926439715513/60679491075565305856*c_1100_0^6 + 621056619239395987/60679491075565305856*c_1100_0^5 + 11378292941112984151/121358982151130611712*c_1100_0^4 - 3765292192704051813/60679491075565305856*c_1100_0^3 - 317485646010427012281/970871857209044893696*c_1100_0^2 + 323371136372398001133/1941743714418089787392*c_1100_0 + 429611126892062754417/970871857209044893696, c_0011_0 - 1, c_0011_10 + 5296636/245633281*c_1100_0^6 + 24460796/245633281*c_1100_0^5 - 17204850/245633281*c_1100_0^4 - 67025968/245633281*c_1100_0^3 - 33960825/982533124*c_1100_0^2 + 852940349/1965066248*c_1100_0 + 1629299455/982533124, c_0011_11 - 32332832/245633281*c_1100_0^6 - 63922784/245633281*c_1100_0^5 + 98472048/245633281*c_1100_0^4 + 255659712/245633281*c_1100_0^3 + 88580702/245633281*c_1100_0^2 - 898197382/245633281*c_1100_0 - 1152069492/245633281, c_0011_12 + 860156/245633281*c_1100_0^6 - 14120708/245633281*c_1100_0^5 - 3317866/245633281*c_1100_0^4 + 87202384/245633281*c_1100_0^3 + 2676615/982533124*c_1100_0^2 - 844232899/1965066248*c_1100_0 - 1390833121/982533124, c_0011_3 - 16166416/245633281*c_1100_0^6 - 31961392/245633281*c_1100_0^5 + 49236024/245633281*c_1100_0^4 + 127829856/245633281*c_1100_0^3 + 44290351/245633281*c_1100_0^2 - 652564101/491266562*c_1100_0 - 576034746/245633281, c_0011_8 + 33075712/245633281*c_1100_0^6 + 49972800/245633281*c_1100_0^5 - 132334272/245633281*c_1100_0^4 - 232726816/245633281*c_1100_0^3 + 1165346/245633281*c_1100_0^2 + 731317972/245633281*c_1100_0 + 935419650/245633281, c_0101_0 - 1, c_0101_1 - 1, c_0101_10 + 33075712/245633281*c_1100_0^6 + 49972800/245633281*c_1100_0^5 - 132334272/245633281*c_1100_0^4 - 232726816/245633281*c_1100_0^3 + 1165346/245633281*c_1100_0^2 + 731317972/245633281*c_1100_0 + 935419650/245633281, c_0101_3 + 32332832/245633281*c_1100_0^6 + 63922784/245633281*c_1100_0^5 - 98472048/245633281*c_1100_0^4 - 255659712/245633281*c_1100_0^3 - 88580702/245633281*c_1100_0^2 + 898197382/245633281*c_1100_0 + 1152069492/245633281, c_1001_1 - 16166416/245633281*c_1100_0^6 - 31961392/245633281*c_1100_0^5 + 49236024/245633281*c_1100_0^4 + 127829856/245633281*c_1100_0^3 + 44290351/245633281*c_1100_0^2 - 1143830663/491266562*c_1100_0 - 576034746/245633281, c_1001_5 + c_1100_0, c_1100_0^7 + 3*c_1100_0^6 - 3/2*c_1100_0^5 - 12*c_1100_0^4 - 159/16*c_1100_0^3 + 647/32*c_1100_0^2 + 233/4*c_1100_0 + 353/8 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.210 Total time: 0.430 seconds, Total memory usage: 32.09MB