Magma V2.19-8 Tue Aug 20 2013 23:53:03 on localhost [Seed = 3549804561] Type ? for help. Type -D to quit. Loading file "L13n4625__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n4625 geometric_solution 11.23837121 oriented_manifold CS_known 0.0000000000000005 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 0 0 1 2 1302 2031 0132 0132 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 0 -1 3 -2 -2 0 0 2 1 -1 0 0 1 2 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.401949602743 0.654124060751 3 4 5 0 0132 0132 0132 0132 0 0 0 0 0 0 -1 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 0 0 0 0 3 -3 0 0 0 0 0 -3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.167205435877 0.935993827351 4 6 0 7 2310 0132 0132 0132 0 0 1 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 0 0 0 0 2 -2 0 0 -2 2 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.026992438362 1.407924237916 1 8 9 8 0132 0132 0132 0213 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 0 0 0 8 1 -9 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 0 0 0.187862147069 1.018501651757 7 1 2 6 1302 0132 3201 1302 0 1 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 0 0 0 0 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.307894682352 0.644809568594 10 10 8 1 0132 1302 3120 0132 0 0 0 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 3 0 -3 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 0.392497374002 1.134329454706 10 2 4 9 1302 0132 2031 2310 0 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 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 0.426268640634 0.293449672887 11 4 2 8 0132 2031 0132 3120 0 0 0 1 0 0 -1 1 0 0 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 2 -2 0 0 -2 2 -3 3 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.598351122942 0.608074873220 7 3 5 3 3120 0132 3120 0213 1 0 0 0 0 1 0 -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 -8 -1 9 -2 0 0 2 0 0 0 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.187862147069 1.018501651757 6 11 11 3 3201 2103 2031 0132 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 -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 0.901092473426 1.218561250131 5 6 11 5 0132 2031 0321 2031 0 0 1 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 3 -3 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.366901976213 0.685079703029 7 9 10 9 0132 2103 0321 1302 0 0 1 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 0 0 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 0.066173300715 0.815268795388 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_9'], 'c_1001_10' : d['c_0101_9'], 'c_1001_5' : d['c_0101_5'], 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_7' : negation(d['c_0110_4']), 'c_1001_6' : negation(d['c_0110_4']), 'c_1001_1' : negation(d['c_0011_9']), 'c_1001_0' : negation(d['c_0101_2']), 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : d['c_0011_0'], 'c_1001_9' : d['c_0011_11'], 'c_1001_8' : negation(d['c_0101_5']), 'c_1010_11' : negation(d['c_1001_3']), 'c_1010_10' : negation(d['c_0011_10']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : negation(d['c_0101_1']), 'c_0101_10' : d['c_0101_1'], 's_2_0' : 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_1100_9' : d['c_1001_3'], 'c_1100_8' : negation(d['c_0101_5']), 'c_1100_5' : negation(d['c_0101_8']), 'c_1100_4' : negation(d['c_0011_10']), 'c_1100_7' : negation(d['c_0101_8']), 'c_1100_6' : d['c_0011_9'], 'c_1100_1' : negation(d['c_0101_8']), 'c_1100_0' : negation(d['c_0101_8']), 'c_1100_3' : d['c_1001_3'], 'c_1100_2' : negation(d['c_0101_8']), 's_3_11' : d['1'], 'c_1100_11' : d['c_0101_9'], 'c_1100_10' : d['c_0011_9'], 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0011_1']), 'c_1010_6' : d['c_0011_0'], 'c_1010_5' : negation(d['c_0011_9']), 'c_1010_4' : negation(d['c_0011_9']), 'c_1010_3' : negation(d['c_0101_5']), 'c_1010_2' : negation(d['c_0110_4']), 'c_1010_1' : negation(d['c_0101_2']), 'c_1010_0' : d['c_0011_0'], 'c_1010_9' : d['c_1001_3'], 'c_1010_8' : d['c_1001_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' : 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' : 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' : d['c_0011_1'], 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : negation(d['c_0011_1']), 'c_0011_7' : negation(d['c_0011_11']), 'c_0011_6' : negation(d['c_0011_10']), 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_1']), 'c_0011_2' : d['c_0011_10'], 'c_0110_11' : negation(d['c_0011_11']), 'c_0110_10' : d['c_0101_5'], 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : negation(d['c_0011_11']), 'c_0101_6' : negation(d['c_0011_10']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0011_11'], 'c_0101_3' : negation(d['c_0011_0']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_0']), 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : d['c_0101_8'], 'c_0011_10' : d['c_0011_10'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_0']), 'c_0110_8' : negation(d['c_0101_1']), 'c_0110_1' : negation(d['c_0011_0']), 'c_0110_0' : d['c_0101_2'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : negation(d['c_0011_11']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0110_4'], 'c_0110_7' : negation(d['c_0101_1']), 'c_0110_6' : negation(d['c_0101_9'])})} 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_1, c_0011_10, c_0011_11, c_0011_9, c_0101_1, c_0101_2, c_0101_5, c_0101_8, c_0101_9, c_0110_4, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 471765289111956333/45397763129966752*c_1001_3^9 + 195167526848667249/22698881564983376*c_1001_3^8 + 341168396571935159/22698881564983376*c_1001_3^7 - 317758912652177727/11349440782491688*c_1001_3^6 - 419507623870433891/22698881564983376*c_1001_3^5 + 154436505710298783/5674720391245844*c_1001_3^4 - 185937198381771895/11349440782491688*c_1001_3^3 + 2282844575700421/986907894129712*c_1001_3^2 + 9538455813349791/45397763129966752*c_1001_3 + 36182694333828547/22698881564983376, c_0011_0 - 1, c_0011_1 - 7838748/3015373*c_1001_3^9 + 24213303/12061492*c_1001_3^8 + 57867315/6030746*c_1001_3^7 - 28000978/3015373*c_1001_3^6 - 69439769/6030746*c_1001_3^5 + 58423989/3015373*c_1001_3^4 + 31540165/6030746*c_1001_3^3 - 73825847/6030746*c_1001_3^2 + 26179766/3015373*c_1001_3 + 13906057/12061492, c_0011_10 - 1, c_0011_11 + 16046577/12061492*c_1001_3^9 - 5484948/3015373*c_1001_3^8 - 8347673/3015373*c_1001_3^7 + 22858675/6030746*c_1001_3^6 + 8678085/3015373*c_1001_3^5 - 34544645/6030746*c_1001_3^4 - 3629157/6030746*c_1001_3^3 - 1999675/3015373*c_1001_3^2 + 5474695/12061492*c_1001_3 - 4191439/6030746, c_0011_9 + 16215327/3015373*c_1001_3^9 - 81019761/12061492*c_1001_3^8 - 88706353/6030746*c_1001_3^7 + 61293107/3015373*c_1001_3^6 + 84643033/6030746*c_1001_3^5 - 101338610/3015373*c_1001_3^4 - 288315/6030746*c_1001_3^3 + 61833815/6030746*c_1001_3^2 - 29763669/3015373*c_1001_3 + 16360121/12061492, c_0101_1 - 25301367/6030746*c_1001_3^9 + 66997497/12061492*c_1001_3^8 + 32072842/3015373*c_1001_3^7 - 95594577/6030746*c_1001_3^6 - 29654493/3015373*c_1001_3^5 + 156107859/6030746*c_1001_3^4 - 474351/3015373*c_1001_3^3 - 23386047/3015373*c_1001_3^2 + 17425007/3015373*c_1001_3 + 17074629/12061492, c_0101_2 + 5008599/3015373*c_1001_3^9 - 18063129/6030746*c_1001_3^8 - 12253495/6030746*c_1001_3^7 + 36137991/6030746*c_1001_3^6 - 2243963/6030746*c_1001_3^5 - 43020207/6030746*c_1001_3^4 + 31055447/6030746*c_1001_3^3 - 23702769/6030746*c_1001_3^2 - 6158285/6030746*c_1001_3 + 2997905/3015373, c_0101_5 - 531801/3015373*c_1001_3^9 + 2001093/6030746*c_1001_3^8 + 5318777/6030746*c_1001_3^7 - 9116959/6030746*c_1001_3^6 - 9928793/6030746*c_1001_3^5 + 18838445/6030746*c_1001_3^4 + 3528735/6030746*c_1001_3^3 - 14301561/6030746*c_1001_3^2 + 514967/6030746*c_1001_3 + 1069319/3015373, c_0101_8 - 525168/3015373*c_1001_3^9 - 4225515/6030746*c_1001_3^8 + 17380627/6030746*c_1001_3^7 - 1775873/6030746*c_1001_3^6 - 36486175/6030746*c_1001_3^5 + 17293869/6030746*c_1001_3^4 + 49343203/6030746*c_1001_3^3 - 40002501/6030746*c_1001_3^2 - 6801295/6030746*c_1001_3 + 4065282/3015373, c_0101_9 + 9/4*c_1001_3^9 - 3/4*c_1001_3^8 - 23/2*c_1001_3^7 + 17/2*c_1001_3^6 + 33/2*c_1001_3^5 - 41/2*c_1001_3^4 - 11*c_1001_3^3 + 37/2*c_1001_3^2 - 41/4*c_1001_3 + 5/4, c_0110_4 + 15502221/12061492*c_1001_3^9 - 6564720/3015373*c_1001_3^8 - 7291669/3015373*c_1001_3^7 + 33402747/6030746*c_1001_3^6 + 3231637/3015373*c_1001_3^5 - 46420029/6030746*c_1001_3^4 + 15613133/6030746*c_1001_3^3 + 3046832/3015373*c_1001_3^2 - 6599925/12061492*c_1001_3 - 7813699/6030746, c_1001_3^10 - 7/3*c_1001_3^9 - 4/9*c_1001_3^8 + 14/3*c_1001_3^7 - 2*c_1001_3^6 - 46/9*c_1001_3^5 + 16/3*c_1001_3^4 - 22/9*c_1001_3^3 + 1/3*c_1001_3^2 - 1/9*c_1001_3 + 2/9 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.070 Total time: 0.280 seconds, Total memory usage: 32.09MB