Magma V2.19-8 Tue Aug 20 2013 23:56:34 on localhost [Seed = 492533012] Type ? for help. Type -D to quit. Loading file "L14n23958__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n23958 geometric_solution 10.59763665 oriented_manifold CS_known 0.0000000000000005 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 1 0 1 1 0 0 1 -1 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 1 0 -1 -1 0 2 -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 0.121956001760 1.156705907044 0 5 6 6 0132 0132 2103 0132 1 0 1 1 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 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 0.470899723744 0.867205849971 7 0 9 8 0132 0132 0132 0132 1 0 1 1 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.555975686243 0.841660070713 4 6 10 0 0132 0132 0132 0132 1 0 1 1 0 0 1 -1 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 1 0 1 -2 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.185292624312 1.124523731978 3 5 0 9 0132 1302 0132 3120 1 0 1 1 0 0 1 -1 -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 0 1 -1 -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 0.182470945307 0.655000113606 11 1 8 4 0132 0132 0213 2031 1 1 1 1 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 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.930460361602 0.818286058637 1 3 1 7 2103 0132 0132 0132 1 0 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 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 0.516427055751 0.890544769928 2 11 6 8 0132 2310 0132 3120 1 0 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 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 0.766800306036 0.391438498028 7 5 2 10 3120 0213 0132 3120 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 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 -0.503725448519 0.957206022139 4 11 10 2 3120 1230 3120 0132 1 0 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 0 1 -1 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 -0.006783162408 1.857996844455 8 11 9 3 3120 2103 3120 0132 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 0 0 0 0 0 0 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 1.193703617508 2.017963443499 5 10 9 7 0132 2103 3012 3201 1 1 1 1 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 1 -1 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 0.862392134544 0.282121258189 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_10'], 'c_1001_10' : negation(d['c_0011_0']), 'c_1001_5' : d['c_1001_0'], 'c_1001_4' : d['c_0101_11'], 'c_1001_7' : d['c_1001_3'], 'c_1001_6' : d['c_1001_0'], 'c_1001_1' : negation(d['c_0011_3']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : d['c_0101_11'], 'c_1001_9' : d['c_0011_0'], 'c_1001_8' : d['c_1001_0'], 'c_1010_11' : negation(d['c_1001_3']), 'c_1010_10' : d['c_1001_3'], 's_3_11' : d['1'], 's_3_10' : negation(d['1']), 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], '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' : negation(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' : negation(d['1']), 's_0_5' : negation(d['1']), 's_0_2' : d['1'], 's_0_3' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_0011_11' : negation(d['c_0011_0']), 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : negation(d['c_0011_10']), 'c_1100_4' : negation(d['c_0101_9']), 'c_1100_7' : negation(d['c_0101_7']), 'c_1100_6' : negation(d['c_0101_7']), 'c_1100_1' : negation(d['c_0101_7']), 'c_1100_0' : negation(d['c_0101_9']), 'c_1100_3' : negation(d['c_0101_9']), 'c_1100_2' : negation(d['c_0101_10']), 's_0_10' : d['1'], 'c_1100_11' : negation(d['c_0011_0']), 'c_1100_10' : negation(d['c_0101_9']), 's_0_11' : negation(d['1']), 'c_1010_7' : negation(d['c_0011_8']), 'c_1010_6' : d['c_1001_3'], 'c_1010_5' : negation(d['c_0011_3']), 'c_1010_4' : d['c_0011_10'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_0'], 'c_1010_0' : d['c_0101_11'], 'c_1010_9' : d['c_0101_11'], 'c_1010_8' : negation(d['c_0011_10']), 'c_1100_8' : negation(d['c_0101_10']), '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'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : 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' : d['1'], 'c_0011_9' : negation(d['c_0011_10']), 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_3']), 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : negation(d['c_0011_3']), '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_8'], 'c_0110_10' : d['c_0101_2'], 'c_0110_0' : d['c_0101_0'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0011_8'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_2'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_0'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : d['c_0101_7'], 's_1_11' : negation(d['1']), 's_1_10' : negation(d['1']), 'c_0110_9' : d['c_0101_2'], 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_0101_10']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_7'], 'c_0110_5' : d['c_0101_11'], 'c_0110_4' : d['c_0101_2'], 'c_0110_7' : d['c_0101_2'], 'c_0110_6' : d['c_0101_7']})} 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_3, c_0011_8, c_0101_0, c_0101_10, c_0101_11, c_0101_2, c_0101_7, c_0101_9, c_1001_0, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t - 1740162260552239/20284414925868352*c_1001_3^8 - 6447680878257/6820583364448*c_1001_3^7 - 6063243508610415/20284414925868352*c_1001_3^6 - 3463303552525335/724443390209584*c_1001_3^5 - 31814422580437331/10142207462934176*c_1001_3^4 - 253801158574844089/20284414925868352*c_1001_3^3 - 162951623349594495/10142207462934176*c_1001_3^2 - 263180940344534899/20284414925868352*c_1001_3 - 6573314217372305/2897773560838336, c_0011_0 - 1, c_0011_10 - 59836002/1456202743*c_1001_3^8 - 442953/979289*c_1001_3^7 - 189835221/1456202743*c_1001_3^6 - 3241478870/1456202743*c_1001_3^5 - 2429260542/1456202743*c_1001_3^4 - 7798635069/1456202743*c_1001_3^3 - 12708837018/1456202743*c_1001_3^2 - 7017659645/1456202743*c_1001_3 - 2091606550/1456202743, c_0011_3 + 352086942/1456202743*c_1001_3^8 + 2570297/979289*c_1001_3^7 + 488558427/1456202743*c_1001_3^6 + 18434402723/1456202743*c_1001_3^5 + 10722017863/1456202743*c_1001_3^4 + 42715600780/1456202743*c_1001_3^3 + 61931676101/1456202743*c_1001_3^2 + 27258436333/1456202743*c_1001_3 - 843207447/1456202743, c_0011_8 + 67257999/1456202743*c_1001_3^8 + 511416/979289*c_1001_3^7 + 399772508/1456202743*c_1001_3^6 + 3330730262/1456202743*c_1001_3^5 + 3797442536/1456202743*c_1001_3^4 + 7693899076/1456202743*c_1001_3^3 + 15212250616/1456202743*c_1001_3^2 + 8545046812/1456202743*c_1001_3 - 712355371/1456202743, c_0101_0 - 1, c_0101_10 + 510087862/1456202743*c_1001_3^8 + 3754449/979289*c_1001_3^7 + 1237095588/1456202743*c_1001_3^6 + 27091593950/1456202743*c_1001_3^5 + 17580551732/1456202743*c_1001_3^4 + 65682707206/1456202743*c_1001_3^3 + 94236639655/1456202743*c_1001_3^2 + 52673106695/1456202743*c_1001_3 + 4113270662/1456202743, c_0101_11 + 48607563/1456202743*c_1001_3^8 + 354261/979289*c_1001_3^7 + 33690993/1456202743*c_1001_3^6 + 2296092788/1456202743*c_1001_3^5 + 1602343536/1456202743*c_1001_3^4 + 4822402822/1456202743*c_1001_3^3 + 8325507020/1456202743*c_1001_3^2 + 1059959729/1456202743*c_1001_3 - 2100783807/1456202743, c_0101_2 - 283855969/1456202743*c_1001_3^8 - 2068651/979289*c_1001_3^7 - 372333086/1456202743*c_1001_3^6 - 15236120440/1456202743*c_1001_3^5 - 8379730121/1456202743*c_1001_3^4 - 36383519874/1456202743*c_1001_3^3 - 49076903183/1456202743*c_1001_3^2 - 26316389282/1456202743*c_1001_3 - 1559543661/1456202743, c_0101_7 - 51586/979289*c_1001_3^8 - 551415/979289*c_1001_3^7 + 15633/979289*c_1001_3^6 - 2756476/979289*c_1001_3^5 - 1157344/979289*c_1001_3^4 - 6074459/979289*c_1001_3^3 - 8252961/979289*c_1001_3^2 - 2749105/979289*c_1001_3 + 90446/979289, c_0101_9 + 226770997/1456202743*c_1001_3^8 + 1664621/979289*c_1001_3^7 + 478113705/1456202743*c_1001_3^6 + 12039430123/1456202743*c_1001_3^5 + 7398703799/1456202743*c_1001_3^4 + 28860477425/1456202743*c_1001_3^3 + 41334016074/1456202743*c_1001_3^2 + 22110557469/1456202743*c_1001_3 + 1392069562/1456202743, c_1001_0 - 275378560/1456202743*c_1001_3^8 - 2018882/979289*c_1001_3^7 - 511804698/1456202743*c_1001_3^6 - 14335522911/1456202743*c_1001_3^5 - 9001047335/1456202743*c_1001_3^4 - 33682880247/1456202743*c_1001_3^3 - 49659523094/1456202743*c_1001_3^2 - 23170517198/1456202743*c_1001_3 + 708714245/1456202743, c_1001_3^9 + 11*c_1001_3^8 + 3*c_1001_3^7 + 53*c_1001_3^6 + 38*c_1001_3^5 + 129*c_1001_3^4 + 193*c_1001_3^3 + 111*c_1001_3^2 + 14*c_1001_3 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.060 Total time: 0.280 seconds, Total memory usage: 32.09MB