Magma V2.19-8 Wed Aug 21 2013 00:51:07 on localhost [Seed = 1360479318] Type ? for help. Type -D to quit. Loading file "L11a111__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L11a111 geometric_solution 11.56759239 oriented_manifold CS_known 0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 2 3 0132 0132 0321 0132 1 1 1 1 0 0 0 0 -1 0 1 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 0 1 -11 0 10 1 0 0 0 0 10 0 -10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.325992234168 0.716832679308 0 4 4 5 0132 0132 1230 0132 1 1 1 1 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 0 0 0 11 0 0 -11 -10 0 0 10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.757540018880 1.479719247931 6 0 0 6 0132 0132 0321 0213 1 1 1 1 0 0 0 0 0 0 1 -1 -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 0 0 10 -10 -11 0 0 11 10 0 -10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.325992234168 0.716832679308 7 8 0 9 0132 0132 0132 0132 1 1 1 1 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 11 -1 -10 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 0.856560495879 1.097982603512 10 1 7 1 0132 0132 1230 3012 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 0.441014106625 0.282531393462 6 7 1 10 2103 1230 0132 1302 1 1 1 1 0 0 0 0 -1 0 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 -11 0 11 0 0 0 0 0 0 10 -10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.009129969072 1.097069573099 2 10 5 2 0132 0132 2103 0213 1 1 1 1 0 0 0 0 0 0 1 -1 -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 -1 0 1 0 0 11 -11 -10 0 0 10 11 -11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.325992234168 0.716832679308 3 11 5 4 0132 0132 3012 3012 1 1 1 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 0 0 0 0 0 0 0 10 -10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.410835749878 0.834951190633 11 3 12 9 0132 0132 0132 0213 1 0 1 1 0 -1 1 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 -11 11 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 -0.089987630900 0.873835254643 12 11 3 8 0213 0213 0132 0213 1 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 0 0 0 0 0 0 0 0 0 0 0 -10 10 0 0 0 -1 1 -1 0 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.910012369100 0.873835254643 4 6 5 12 0132 0132 2031 3201 1 1 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 0 0 0 1 0 -1 0 0 0 0 0 11 0 -11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.887599251745 2.178075196649 8 7 9 12 0132 0132 0213 0132 1 0 1 1 0 -1 1 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 -10 10 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 -0.089987630900 0.873835254643 9 10 11 8 0213 2310 0132 0132 1 0 1 1 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 11 0 -11 1 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 0.116611745184 1.132371782963 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0101_4']), 'c_1001_10' : negation(d['c_0110_5']), 'c_1001_12' : negation(d['c_0011_5']), 'c_1001_5' : d['c_1001_4'], 'c_1001_4' : d['c_1001_4'], 'c_1001_7' : negation(d['c_0011_5']), 'c_1001_6' : d['c_0011_5'], 'c_1001_1' : negation(d['c_0101_1']), 'c_1001_0' : negation(d['c_0110_5']), 'c_1001_3' : d['c_1001_2'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : negation(d['c_0101_4']), 'c_1001_8' : negation(d['c_0101_4']), 'c_1010_12' : negation(d['c_0101_4']), 'c_1010_11' : negation(d['c_0011_5']), 'c_1010_10' : d['c_0011_5'], 's_3_11' : d['1'], 's_3_10' : negation(d['1']), 's_0_12' : d['1'], 's_3_12' : negation(d['1']), 's_2_8' : negation(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' : d['1'], 's_2_2' : d['1'], 's_2_3' : negation(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' : d['1'], 's_0_7' : d['1'], 's_0_4' : negation(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' : d['c_1001_2'], 'c_1100_8' : d['c_1010_9'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0101_10'], 'c_1100_4' : d['c_0101_1'], 'c_1100_7' : negation(d['c_1001_4']), 'c_1100_6' : negation(d['c_0110_5']), 'c_1100_1' : d['c_0101_10'], 'c_1100_0' : d['c_1001_2'], 'c_1100_3' : d['c_1001_2'], 'c_1100_2' : negation(d['c_0110_5']), 's_0_10' : negation(d['1']), 'c_1100_11' : d['c_1010_9'], 'c_1100_10' : negation(d['c_0011_12']), 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0101_4']), 'c_1010_6' : negation(d['c_0110_5']), 'c_1010_5' : d['c_0011_12'], 'c_1010_4' : negation(d['c_0101_1']), 'c_1010_3' : negation(d['c_0101_4']), 'c_1010_2' : negation(d['c_0110_5']), 'c_1010_1' : d['c_1001_4'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_1010_9'], 'c_1010_8' : d['c_1001_2'], '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' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : d['c_1010_9'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : negation(d['1']), 's_1_3' : negation(d['1']), 's_1_2' : d['1'], 's_1_1' : negation(d['1']), 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : negation(d['1']), 'c_0011_9' : d['c_0011_9'], 'c_0011_8' : negation(d['c_0011_11']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_11']), '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_11'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0011_9'], 'c_0110_10' : d['c_0101_4'], 'c_0110_12' : d['c_0011_9'], 'c_0101_12' : d['c_0011_9'], 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : d['c_0011_12'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : negation(d['c_0101_0']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_12'], 'c_0101_8' : d['c_0011_9'], 'c_0011_10' : negation(d['c_0011_0']), 's_1_12' : negation(d['1']), 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_9']), 'c_0110_8' : d['c_0011_9'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_12'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : negation(d['c_0101_0'])})} 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_11, c_0011_12, c_0011_5, c_0011_9, c_0101_0, c_0101_1, c_0101_10, c_0101_4, c_0110_5, c_1001_2, c_1001_4, c_1010_9 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t + 2230132772966934046369729830213648/12146065216136959997434954924531\ 25*c_1001_4^7*c_1010_9 + 511840315671684160914446854230186/12146065\ 21613695999743495492453125*c_1001_4^7 + 882808369956806563756488761397448/121460652161369599974349549245312\ 5*c_1001_4^6*c_1010_9 - 2518959268053194133470964712005714/12146065\ 21613695999743495492453125*c_1001_4^6 - 1579701810217787280503272016741772/24292130432273919994869909849062\ 5*c_1001_4^5*c_1010_9 - 460524429623725424326311695637504/242921304\ 322739199948699098490625*c_1001_4^5 - 3202057443165931658963861141729402/12146065216136959997434954924531\ 25*c_1001_4^4*c_1010_9 + 4007323914939633779636748365345086/1214606\ 521613695999743495492453125*c_1001_4^4 + 8715188883505125638135737574981523/12146065216136959997434954924531\ 25*c_1001_4^3*c_1010_9 + 7178890820896387201780814757967811/1214606\ 521613695999743495492453125*c_1001_4^3 - 4920285873507108761725450629936839/12146065216136959997434954924531\ 25*c_1001_4^2*c_1010_9 - 5456953219185731715685143177815323/1214606\ 521613695999743495492453125*c_1001_4^2 - 13109701332707006338288761330155971/1214606521613695999743495492453\ 125*c_1001_4*c_1010_9 - 6181119972034385624322980421001097/12146065\ 21613695999743495492453125*c_1001_4 + 5608033854069979980279570700418884/12146065216136959997434954924531\ 25*c_1010_9 + 8950750701350995845972307277475638/121460652161369599\ 9743495492453125, c_0011_0 - 1, c_0011_11 + 2097039427444/11549358435541*c_1001_4^7*c_1010_9 + 297208722892/11549358435541*c_1001_4^7 - 3512819202628/11549358435541*c_1001_4^6*c_1010_9 + 293822973140/11549358435541*c_1001_4^6 - 7843470843195/11549358435541*c_1001_4^5*c_1010_9 - 1377224902664/11549358435541*c_1001_4^5 + 10258492635528/11549358435541*c_1001_4^4*c_1010_9 - 3472437379086/11549358435541*c_1001_4^4 + 10768461794991/11549358435541*c_1001_4^3*c_1010_9 + 6025813137902/11549358435541*c_1001_4^3 - 28796895652282/11549358435541*c_1001_4^2*c_1010_9 + 2032546784283/11549358435541*c_1001_4^2 - 11298661532795/23098716871082*c_1001_4*c_1010_9 - 6520998537337/23098716871082*c_1001_4 + 28688831791940/11549358435541*c_1010_9 - 1734267803129/11549358435541, c_0011_12 - 1449874484788/11549358435541*c_1001_4^7*c_1010_9 + 434415221268/11549358435541*c_1001_4^7 - 75247035636/11549358435541*c_1001_4^6*c_1010_9 - 155996135476/11549358435541*c_1001_4^6 + 5929958004379/11549358435541*c_1001_4^5*c_1010_9 + 4258724901688/11549358435541*c_1001_4^5 - 640183825688/11549358435541*c_1001_4^4*c_1010_9 - 3240036035634/11549358435541*c_1001_4^4 - 1436053448511/11549358435541*c_1001_4^3*c_1010_9 - 12574481664806/11549358435541*c_1001_4^3 - 2964558450662/11549358435541*c_1001_4^2*c_1010_9 + 7662329001761/11549358435541*c_1001_4^2 - 23473724308485/23098716871082*c_1001_4*c_1010_9 + 19009637505705/23098716871082*c_1001_4 + 9253597051980/11549358435541*c_1010_9 - 15803130246231/11549358435541, c_0011_5 + 68603249188/11549358435541*c_1001_4^7*c_1010_9 + 1773456956116/11549358435541*c_1001_4^7 - 224909554308/11549358435541*c_1001_4^6*c_1010_9 - 1718786083496/11549358435541*c_1001_4^6 + 2817974902176/11549358435541*c_1001_4^5*c_1010_9 - 6886714423787/11549358435541*c_1001_4^5 + 116200671726/11549358435541*c_1001_4^4*c_1010_9 + 5449338230608/11549358435541*c_1001_4^4 - 9300147401354/11549358435541*c_1001_4^3*c_1010_9 + 6102257621751/11549358435541*c_1001_4^3 + 2814891108739/11549358435541*c_1001_4^2*c_1010_9 - 12916168600810/11549358435541*c_1001_4^2 + 12765318021521/23098716871082*c_1001_4*c_1010_9 + 6087531387845/23098716871082*c_1001_4 - 7034431221551/11549358435541*c_1010_9 + 9717617369980/11549358435541, c_0011_9 - 1, c_0101_0 + 1130794895174/11549358435541*c_1001_4^7*c_1010_9 - 2661764051520/11549358435541*c_1001_4^7 - 4741690658308/11549358435541*c_1001_4^6*c_1010_9 + 1052241825884/11549358435541*c_1001_4^6 - 5758732478596/11549358435541*c_1001_4^5*c_1010_9 + 7248403483368/11549358435541*c_1001_4^5 + 12634535475984/11549358435541*c_1001_4^4*c_1010_9 - 152485338172/11549358435541*c_1001_4^4 + 14479078901292/11549358435541*c_1001_4^3*c_1010_9 - 2664507177894/11549358435541*c_1001_4^3 - 19114728459988/11549358435541*c_1001_4^2*c_1010_9 + 2547992718468/11549358435541*c_1001_4^2 - 3718604277294/11549358435541*c_1001_4*c_1010_9 + 6498833068511/11549358435541*c_1001_4 + 20762027553800/11549358435541*c_1010_9 - 7048709713954/11549358435541, c_0101_1 + 3223331440904/11549358435541*c_1001_4^7*c_1010_9 - 503018470456/11549358435541*c_1001_4^7 - 1643539047860/11549358435541*c_1001_4^6*c_1010_9 + 380905689784/11549358435541*c_1001_4^6 - 12816672428166/11549358435541*c_1001_4^5*c_1010_9 - 7076699803864/11549358435541*c_1001_4^5 + 6089522056296/11549358435541*c_1001_4^4*c_1010_9 + 3123835363908/11549358435541*c_1001_4^4 + 7538311070262/11549358435541*c_1001_4^3*c_1010_9 + 21874629066160/11549358435541*c_1001_4^3 - 9951610150148/11549358435541*c_1001_4^2*c_1010_9 - 10477220110500/11549358435541*c_1001_4^2 + 3231269412624/11549358435541*c_1001_4*c_1010_9 - 15887477763613/11549358435541*c_1001_4 + 464020318000/11549358435541*c_1010_9 + 22837561467782/11549358435541, c_0101_10 + 8333338240892/11549358435541*c_1001_4^7*c_1010_9 + 8215310281504/11549358435541*c_1001_4^7 + 2731969329856/11549358435541*c_1001_4^6*c_1010_9 - 11219692990944/11549358435541*c_1001_4^6 - 23033102504284/11549358435541*c_1001_4^5*c_1010_9 - 31882725223688/11549358435541*c_1001_4^5 - 16459667218566/11549358435541*c_1001_4^4*c_1010_9 + 22705696938356/11549358435541*c_1001_4^4 + 12309393060452/11549358435541*c_1001_4^3*c_1010_9 + 48290063234416/11549358435541*c_1001_4^3 + 14397288302336/11549358435541*c_1001_4^2*c_1010_9 - 45938713549924/11549358435541*c_1001_4^2 - 32290791500356/11549358435541*c_1001_4*c_1010_9 - 28818439946704/11549358435541*c_1001_4 - 12254217300304/11549358435541*c_1010_9 + 47094277590227/11549358435541, c_0101_4 + 365811972080/11549358435541*c_1001_4^7*c_1010_9 - 323582471328/11549358435541*c_1001_4^7 + 68913418832/11549358435541*c_1001_4^6*c_1010_9 + 1794033119132/11549358435541*c_1001_4^6 + 1440749999512/11549358435541*c_1001_4^5*c_1010_9 + 956756419408/11549358435541*c_1001_4^5 - 3356236707360/11549358435541*c_1001_4^4*c_1010_9 - 4809154404920/11549358435541*c_1001_4^4 - 3274334263452/11549358435541*c_1001_4^3*c_1010_9 - 4666204173240/11549358435541*c_1001_4^3 + 4847437893022/11549358435541*c_1001_4^2*c_1010_9 + 15880727051472/11549358435541*c_1001_4^2 + 3122159742092/11549358435541*c_1001_4*c_1010_9 + 8693096460320/11549358435541*c_1001_4 - 8768699024680/11549358435541*c_1010_9 - 18971214421960/11549358435541, c_0110_5 - 1025065076993/11549358435541*c_1001_4^7*c_1010_9 - 2548669641559/11549358435541*c_1001_4^7 - 2209839125520/11549358435541*c_1001_4^6*c_1010_9 - 2464196103232/11549358435541*c_1001_4^6 - 1519070272919/11549358435541*c_1001_4^5*c_1010_9 + 10856363670216/11549358435541*c_1001_4^5 + 4665774245181/11549358435541*c_1001_4^4*c_1010_9 + 8355065359698/11549358435541*c_1001_4^4 + 10889511334963/11549358435541*c_1001_4^3*c_1010_9 - 8859788285081/11549358435541*c_1001_4^3 - 3304830677708/11549358435541*c_1001_4^2*c_1010_9 + 1497980825392/11549358435541*c_1001_4^2 - 11129653527263/23098716871082*c_1001_4*c_1010_9 + 26719607370223/23098716871082*c_1001_4 + 28566054578105/23098716871082*c_1010_9 + 3401614995235/23098716871082, c_1001_2 + 68603249188/11549358435541*c_1001_4^7*c_1010_9 + 1773456956116/11549358435541*c_1001_4^7 - 224909554308/11549358435541*c_1001_4^6*c_1010_9 - 1718786083496/11549358435541*c_1001_4^6 + 2817974902176/11549358435541*c_1001_4^5*c_1010_9 - 6886714423787/11549358435541*c_1001_4^5 + 116200671726/11549358435541*c_1001_4^4*c_1010_9 + 5449338230608/11549358435541*c_1001_4^4 - 9300147401354/11549358435541*c_1001_4^3*c_1010_9 + 6102257621751/11549358435541*c_1001_4^3 + 2814891108739/11549358435541*c_1001_4^2*c_1010_9 - 12916168600810/11549358435541*c_1001_4^2 + 12765318021521/23098716871082*c_1001_4*c_1010_9 + 6087531387845/23098716871082*c_1001_4 - 7034431221551/11549358435541*c_1010_9 + 9717617369980/11549358435541, c_1001_4^8 + 22/17*c_1001_4^7*c_1010_9 - 14/17*c_1001_4^7 + 10/17*c_1001_4^6*c_1010_9 - 62/17*c_1001_4^6 - 78/17*c_1001_4^5*c_1010_9 + 28/17*c_1001_4^5 - 43/17*c_1001_4^4*c_1010_9 + 66/17*c_1001_4^4 + 126/17*c_1001_4^3*c_1010_9 - 40/17*c_1001_4^3 - 31/17*c_1001_4^2*c_1010_9 - 56/17*c_1001_4^2 - 133/17*c_1001_4*c_1010_9 + 46/17*c_1001_4 + 129/34*c_1010_9 + 20/17, c_1010_9^2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.270 Total time: 0.480 seconds, Total memory usage: 32.09MB