Magma V2.19-8 Tue Aug 20 2013 17:57:11 on localhost [Seed = 2800161454] Type ? for help. Type -D to quit. Loading file "11_58__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation 11_58 geometric_solution 11.21911773 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 12 1 2 2 3 0132 0132 1230 0132 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 -1 1 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 0.491553569836 1.218967588985 0 4 6 5 0132 0132 0132 0132 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 -1 1 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 0.971744294542 1.566188577343 7 0 8 0 0132 0132 0132 3012 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 1 -1 0 0 0 1 -1 0 0 0 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.655264790274 0.431332665072 8 4 0 9 0213 3201 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0.240458250546 0.697793698715 8 1 3 6 1230 0132 2310 3120 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 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 0.267893333570 0.618144791924 10 9 1 11 0132 3120 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.262283487653 0.457495671418 4 11 10 1 3120 0132 3012 0132 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 1 -1 0 0 0 0 -1 -1 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.584042337535 0.668581038789 2 10 9 11 0132 3201 2031 0213 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 -2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.935255615631 0.700875493003 3 4 10 2 0213 3012 1230 0132 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 -1 1 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 1.010148587197 0.777187612418 11 5 3 7 0132 3120 0132 1302 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.778280667412 0.675972107918 5 6 7 8 0132 1230 2310 3012 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 -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 0.770404365884 0.779325613022 9 6 5 7 0132 0132 0132 0213 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.750723266546 0.804336811381 ==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_5' : d['c_1001_4'], 'c_1001_4' : d['c_1001_4'], 'c_1001_7' : negation(d['c_0101_10']), 'c_1001_6' : negation(d['c_0011_10']), 'c_1001_1' : d['c_0011_11'], 'c_1001_0' : negation(d['c_0101_0']), 'c_1001_3' : negation(d['c_0101_4']), 'c_1001_2' : negation(d['c_0101_4']), 'c_1001_9' : negation(d['c_1001_4']), 'c_1001_8' : negation(d['c_0011_0']), 'c_1010_11' : negation(d['c_0011_10']), 'c_1010_10' : negation(d['c_0011_3']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_10'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : negation(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_10']), 'c_1100_4' : d['c_0011_3'], 'c_1100_7' : negation(d['c_0011_10']), 'c_1100_6' : negation(d['c_1001_10']), 'c_1100_1' : negation(d['c_1001_10']), 'c_1100_0' : d['c_0101_7'], 'c_1100_3' : d['c_0101_7'], 'c_1100_2' : d['c_0101_0'], 's_3_11' : d['1'], 'c_1100_9' : d['c_0101_7'], 'c_1100_11' : negation(d['c_1001_10']), 'c_1100_10' : d['c_0011_0'], 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_1001_10']), 'c_1010_6' : d['c_0011_11'], 'c_1010_5' : d['c_0011_11'], 'c_1010_4' : d['c_0011_11'], 'c_1010_3' : negation(d['c_1001_4']), 'c_1010_2' : negation(d['c_0101_0']), 'c_1010_1' : d['c_1001_4'], 'c_1010_0' : negation(d['c_0101_4']), 'c_1010_9' : d['c_0011_10'], 'c_1010_8' : negation(d['c_0101_4']), 'c_1100_8' : d['c_0101_0'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : negation(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' : negation(d['1']), 's_1_1' : 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_11']), 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : 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_0101_2']), 'c_0110_10' : d['c_0101_0'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : negation(d['c_0011_3']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0011_8'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0011_8'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0101_2']), 'c_0101_8' : d['c_0011_3'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_10'], 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_8'], 'c_0110_3' : negation(d['c_0101_2']), 'c_0110_2' : d['c_0101_7'], 'c_0110_5' : d['c_0101_10'], 'c_0110_4' : d['c_0011_8'], 'c_0110_7' : d['c_0101_2'], 'c_0110_6' : d['c_0011_8']})} 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_10, c_0101_2, c_0101_4, c_0101_7, c_1001_10, c_1001_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t - 86553736467933757/1102345607909600*c_1001_4^10 + 637759393446842121/1102345607909600*c_1001_4^9 - 14781220826064417/1102345607909600*c_1001_4^8 - 1386960296785097591/551172803954800*c_1001_4^7 - 286692925458837307/32421929644400*c_1001_4^6 - 10406018351613573461/1102345607909600*c_1001_4^5 - 32012721476431043/4052741205550*c_1001_4^4 - 638930438038195659/275586401977400*c_1001_4^3 - 3356376526630164797/1102345607909600*c_1001_4^2 + 118128979944503483/551172803954800*c_1001_4 - 62762126478555231/1102345607909600, c_0011_0 - 1, c_0011_10 - 14513/1172525*c_1001_4^10 + 1044237/9380200*c_1001_4^9 - 599837/4690100*c_1001_4^8 - 5488829/9380200*c_1001_4^7 - 4758761/9380200*c_1001_4^6 + 10691683/9380200*c_1001_4^5 + 14724119/4690100*c_1001_4^4 + 12763429/4690100*c_1001_4^3 + 8812933/4690100*c_1001_4^2 + 5516827/9380200*c_1001_4 + 11180243/9380200, c_0011_11 + 87501/2345050*c_1001_4^10 - 218189/1172525*c_1001_4^9 - 2819113/4690100*c_1001_4^8 + 3966877/4690100*c_1001_4^7 + 8451417/1172525*c_1001_4^6 + 74183921/4690100*c_1001_4^5 + 22540739/1172525*c_1001_4^4 + 35308323/2345050*c_1001_4^3 + 20000021/2345050*c_1001_4^2 + 4776181/1172525*c_1001_4 + 2326241/4690100, c_0011_3 - 1568241/18760400*c_1001_4^10 + 9126273/18760400*c_1001_4^9 + 17562279/18760400*c_1001_4^8 - 24894683/9380200*c_1001_4^7 - 129014997/9380200*c_1001_4^6 - 458882793/18760400*c_1001_4^5 - 27738878/1172525*c_1001_4^4 - 72746017/4690100*c_1001_4^3 - 154380961/18760400*c_1001_4^2 - 54955371/9380200*c_1001_4 - 11750403/18760400, c_0011_8 - 523231/3752080*c_1001_4^10 + 3043883/3752080*c_1001_4^9 + 5824289/3752080*c_1001_4^8 - 8195743/1876040*c_1001_4^7 - 42627697/1876040*c_1001_4^6 - 155722883/3752080*c_1001_4^5 - 9834038/234505*c_1001_4^4 - 26134927/938020*c_1001_4^3 - 49214111/3752080*c_1001_4^2 - 14147831/1876040*c_1001_4 - 1193633/3752080, c_0101_0 + 523231/3752080*c_1001_4^10 - 3043883/3752080*c_1001_4^9 - 5824289/3752080*c_1001_4^8 + 8195743/1876040*c_1001_4^7 + 42627697/1876040*c_1001_4^6 + 155722883/3752080*c_1001_4^5 + 9834038/234505*c_1001_4^4 + 26134927/938020*c_1001_4^3 + 49214111/3752080*c_1001_4^2 + 14147831/1876040*c_1001_4 - 2558447/3752080, c_0101_10 + 14513/1172525*c_1001_4^10 - 1044237/9380200*c_1001_4^9 + 599837/4690100*c_1001_4^8 + 5488829/9380200*c_1001_4^7 + 4758761/9380200*c_1001_4^6 - 10691683/9380200*c_1001_4^5 - 14724119/4690100*c_1001_4^4 - 12763429/4690100*c_1001_4^3 - 8812933/4690100*c_1001_4^2 - 5516827/9380200*c_1001_4 - 11180243/9380200, c_0101_2 + 706359/4690100*c_1001_4^10 - 2084801/2345050*c_1001_4^9 - 7338721/4690100*c_1001_4^8 + 21561959/4690100*c_1001_4^7 + 112719581/4690100*c_1001_4^6 + 52053333/1172525*c_1001_4^5 + 106319851/2345050*c_1001_4^4 + 69116841/2345050*c_1001_4^3 + 58201189/4690100*c_1001_4^2 + 35123433/4690100*c_1001_4 - 1448139/2345050, c_0101_4 - 731087/18760400*c_1001_4^10 + 4666211/18760400*c_1001_4^9 + 6668753/18760400*c_1001_4^8 - 16911331/9380200*c_1001_4^7 - 55832829/9380200*c_1001_4^6 - 107933051/18760400*c_1001_4^5 + 970154/1172525*c_1001_4^4 + 27067081/4690100*c_1001_4^3 + 75760673/18760400*c_1001_4^2 + 10484253/9380200*c_1001_4 + 26457079/18760400, c_0101_7 + 1911639/9380200*c_1001_4^10 - 11335717/9380200*c_1001_4^9 - 19866841/9380200*c_1001_4^8 + 15253241/2345050*c_1001_4^7 + 76287219/2345050*c_1001_4^6 + 540571697/9380200*c_1001_4^5 + 130641123/2345050*c_1001_4^4 + 41051934/1172525*c_1001_4^3 + 154391419/9380200*c_1001_4^2 + 13368321/1172525*c_1001_4 + 1665687/9380200, c_1001_10 + 868233/18760400*c_1001_4^10 - 5635249/18760400*c_1001_4^9 - 6285827/18760400*c_1001_4^8 + 16960929/9380200*c_1001_4^7 + 61403661/9380200*c_1001_4^6 + 162147109/18760400*c_1001_4^5 + 5198139/1172525*c_1001_4^4 + 2129371/4690100*c_1001_4^3 - 5619207/18760400*c_1001_4^2 + 7365723/9380200*c_1001_4 - 16314961/18760400, c_1001_4^11 - 6*c_1001_4^10 - 10*c_1001_4^9 + 33*c_1001_4^8 + 156*c_1001_4^7 + 271*c_1001_4^6 + 259*c_1001_4^5 + 164*c_1001_4^4 + 77*c_1001_4^3 + 49*c_1001_4^2 - 3*c_1001_4 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 1.120 Total time: 1.330 seconds, Total memory usage: 64.12MB