Magma V2.19-8 Wed Aug 21 2013 01:09:47 on localhost [Seed = 1798140668] Type ? for help. Type -D to quit. Loading file "L14n48448__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n48448 geometric_solution 12.28706279 oriented_manifold CS_known -0.0000000000000006 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 1 1 1 2 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 0 0 0 0 3 -3 0 0 -1 1 -3 3 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.362027589296 0.631774076367 0 5 3 6 0132 0132 2310 0132 2 1 2 1 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 -2 2 0 0 0 0 0 -1 1 0 0 3 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.118340209582 1.348210534585 7 0 9 8 0132 0132 0132 0132 1 2 2 1 0 0 0 0 1 0 0 -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 0 0 1 0 0 -1 0 0 0 0 4 -3 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.611466204535 0.616104258862 8 1 9 0 3012 3201 3012 0132 1 1 2 1 0 1 0 -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 0 0 0 3 0 -3 -1 0 0 1 1 -2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.362027589296 0.631774076367 9 8 0 5 0213 0132 0132 2103 1 1 2 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 1 3 -4 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 0.428913522729 0.892914440540 6 1 10 4 3120 0132 0132 2103 2 1 1 2 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 2 -2 0 0 0 0 0 -4 0 0 4 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.158594954471 0.845785690604 9 7 1 5 2031 3120 0132 3120 2 1 1 2 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 -4 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.158594954471 0.845785690604 2 6 11 10 0132 3120 0132 3012 2 2 1 2 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 0 0 0 -1 0 -1 2 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.222932409070 1.232208517724 10 4 2 3 0213 0132 0132 1230 1 2 1 2 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 -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 0.732332381909 1.161271180687 4 3 6 2 0213 1230 1302 0132 1 2 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 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.508339145496 0.794806709264 8 12 7 5 0213 0132 1230 0132 2 1 2 2 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.366166190954 0.580635590344 12 12 12 7 0321 3201 2031 0132 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 -2 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.142172954541 0.785828881079 11 10 11 11 0321 0132 2310 1302 2 0 2 2 0 0 0 0 -1 0 -1 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 0 0 1 0 0 -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 1.222932409070 1.232208517724 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_11'], 'c_1001_10' : d['c_1001_10'], 'c_1001_12' : d['c_1001_12'], 'c_1001_5' : d['c_1001_12'], 'c_1001_4' : d['c_0101_3'], 'c_1001_7' : negation(d['c_1001_12']), 'c_1001_6' : d['c_1001_12'], 'c_1001_1' : negation(d['c_1001_0']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0011_9']), 'c_1001_2' : d['c_0101_3'], 'c_1001_9' : d['c_0110_5'], 'c_1001_8' : d['c_1001_0'], 'c_1010_12' : d['c_1001_10'], 'c_1010_11' : negation(d['c_1001_12']), 'c_1010_10' : d['c_1001_12'], 's_3_11' : 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' : negation(d['c_0011_11']), 'c_0101_11' : d['c_0011_11'], 'c_0101_10' : negation(d['c_0011_4']), 's_2_0' : 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' : 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' : negation(d['1']), 's_0_7' : negation(d['1']), 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : negation(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_1100_8' : d['c_0101_0'], 'c_0011_12' : negation(d['c_0011_10']), 'c_1100_5' : d['c_0101_2'], 'c_1100_4' : negation(d['c_0110_5']), 'c_1100_7' : negation(d['c_1001_10']), 'c_1100_6' : d['c_0011_3'], 'c_1100_1' : d['c_0011_3'], 'c_1100_0' : negation(d['c_0110_5']), 'c_1100_3' : negation(d['c_0110_5']), 'c_1100_2' : d['c_0101_0'], 's_0_10' : d['1'], 'c_1100_9' : d['c_0101_0'], 'c_1100_11' : negation(d['c_1001_10']), 'c_1100_10' : d['c_0101_2'], 's_3_10' : d['1'], 'c_1010_7' : d['c_0011_4'], 'c_1010_6' : negation(d['c_0011_0']), 'c_1010_5' : negation(d['c_1001_0']), '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_1001_12'], 'c_1010_0' : d['c_0101_3'], 'c_1010_9' : d['c_0101_3'], 'c_1010_8' : d['c_0101_3'], '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' : negation(d['1']), 's_3_8' : d['1'], 'c_1100_12' : d['c_0011_11'], 's_1_7' : negation(d['1']), 's_1_6' : negation(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_9'], 'c_0011_8' : negation(d['c_0011_4']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : negation(d['c_0011_4']), '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_0011_10'], 'c_0110_10' : negation(d['c_0011_3']), 'c_0110_12' : negation(d['c_0011_11']), 'c_0101_7' : d['c_0011_10'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0011_3']), 'c_0101_4' : d['c_0011_9'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0011_9'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_4'], 'c_0101_8' : d['c_0011_10'], 'c_0011_10' : d['c_0011_10'], '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_0011_3'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_9'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0011_10'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : negation(d['c_0101_2']), 'c_0110_7' : d['c_0101_2'], 'c_0110_6' : d['c_0110_5'], 's_2_9' : negation(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_3, c_0011_4, c_0011_9, c_0101_0, c_0101_2, c_0101_3, c_0110_5, c_1001_0, c_1001_10, c_1001_12 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 381841965363175/442881359744*c_1001_12^5 - 1067541889815779/221440679872*c_1001_12^4 + 97585843686103657/11072033993600*c_1001_12^3 - 5215772823819691/1107203399360*c_1001_12^2 + 8703217937159863/11072033993600*c_1001_12 - 357086560237/17300053115, c_0011_0 - 1, c_0011_10 - 542438375/168781006*c_1001_12^5 + 1523996945/84390503*c_1001_12^4 - 28540943287/843905030*c_1001_12^3 + 8319330981/421952515*c_1001_12^2 - 3244936597/843905030*c_1001_12 + 64529616/421952515, c_0011_11 - 1, c_0011_3 - 3744833125/337562012*c_1001_12^5 + 11145203525/168781006*c_1001_12^4 - 45721041703/337562012*c_1001_12^3 + 16720948721/168781006*c_1001_12^2 - 8744915461/337562012*c_1001_12 + 71115208/84390503, c_0011_4 - 4160267125/168781006*c_1001_12^5 + 12684727620/84390503*c_1001_12^4 - 270667154367/843905030*c_1001_12^3 + 108294224381/421952515*c_1001_12^2 - 67112973067/843905030*c_1001_12 + 2143303071/421952515, c_0011_9 - 1, c_0101_0 + 9630422375/337562012*c_1001_12^5 - 29138765665/168781006*c_1001_12^4 + 614764971789/1687810060*c_1001_12^3 - 240416742107/843905030*c_1001_12^2 + 147519095259/1687810060*c_1001_12 - 2662144746/421952515, c_0101_2 + 4575701125/337562012*c_1001_12^5 - 14224251715/168781006*c_1001_12^4 + 312729100219/1687810060*c_1001_12^3 - 132983705157/843905030*c_1001_12^2 + 90501368829/1687810060*c_1001_12 - 2209679546/421952515, c_0101_3 - 35601803375/337562012*c_1001_12^5 + 108153243645/168781006*c_1001_12^4 - 2298127497257/1687810060*c_1001_12^3 + 915080342121/843905030*c_1001_12^2 - 580046784507/1687810060*c_1001_12 + 10968440128/421952515, c_0110_5 + 1009755500/84390503*c_1001_12^5 - 5836369005/84390503*c_1001_12^4 + 56556299804/421952515*c_1001_12^3 - 35086969484/421952515*c_1001_12^2 + 5631278784/421952515*c_1001_12 + 1336729746/421952515, c_1001_0 + 4157306625/168781006*c_1001_12^5 - 12516895780/84390503*c_1001_12^4 + 262441617823/843905030*c_1001_12^3 - 102113802254/421952515*c_1001_12^2 + 64791592843/843905030*c_1001_12 - 2652446809/421952515, c_1001_10 - 542438375/168781006*c_1001_12^5 + 1523996945/84390503*c_1001_12^4 - 28540943287/843905030*c_1001_12^3 + 8319330981/421952515*c_1001_12^2 - 4088841627/843905030*c_1001_12 + 64529616/421952515, c_1001_12^6 - 154/25*c_1001_12^5 + 8391/625*c_1001_12^4 - 7122/625*c_1001_12^3 + 2617/625*c_1001_12^2 - 352/625*c_1001_12 + 16/625 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.050 Total time: 0.260 seconds, Total memory usage: 32.09MB