Magma V2.19-8 Tue Aug 20 2013 23:56:34 on localhost [Seed = 745161765] Type ? for help. Type -D to quit. Loading file "L14n23958__sl2_c0.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' : 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' : 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' : 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' : 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' : 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' : 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' : d['1'], 's_1_10' : 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: 10 Groebner basis: [ t + 154736420392175/782404943964672*c_1001_3^9 + 13426593195965/130400823994112*c_1001_3^8 + 60529988160701/41179207577088*c_1001_3^7 - 2385304871771/3372435103296*c_1001_3^6 + 370719646892393/55886067426048*c_1001_3^5 - 2278065658295057/782404943964672*c_1001_3^4 + 29015913608273/1189065264384*c_1001_3^3 + 1635099962141173/782404943964672*c_1001_3^2 + 2035403835019597/111772134852096*c_1001_3 + 339878367246521/195601235991168, c_0011_0 - 1, c_0011_10 + 9034559/2066443078*c_1001_3^9 - 1096778/1033221539*c_1001_3^8 + 47432997/2066443078*c_1001_3^7 - 13510176/1033221539*c_1001_3^6 + 111942381/1033221539*c_1001_3^5 + 48507871/2066443078*c_1001_3^4 + 5957905/21983437*c_1001_3^3 + 809081093/2066443078*c_1001_3^2 - 193141581/2066443078*c_1001_3 + 644866431/1033221539, c_0011_3 + 7772695/147603077*c_1001_3^9 + 12232074/147603077*c_1001_3^8 + 63841160/147603077*c_1001_3^7 + 29752849/147603077*c_1001_3^6 + 245097873/147603077*c_1001_3^5 + 118426842/147603077*c_1001_3^4 + 19371940/3140491*c_1001_3^3 + 971104342/147603077*c_1001_3^2 + 985831744/147603077*c_1001_3 + 635912119/147603077, c_0011_8 + 31843901/2066443078*c_1001_3^9 + 12314096/1033221539*c_1001_3^8 + 219057269/2066443078*c_1001_3^7 - 26388382/1033221539*c_1001_3^6 + 435792331/1033221539*c_1001_3^5 - 33844523/2066443078*c_1001_3^4 + 29599855/21983437*c_1001_3^3 + 1134455271/2066443078*c_1001_3^2 + 1423682725/2066443078*c_1001_3 + 80122393/1033221539, c_0101_0 - 1, c_0101_10 - 9360947/2066443078*c_1001_3^9 + 10946938/1033221539*c_1001_3^8 - 47199213/2066443078*c_1001_3^7 + 81308231/1033221539*c_1001_3^6 - 192819829/1033221539*c_1001_3^5 + 747895929/2066443078*c_1001_3^4 - 12359040/21983437*c_1001_3^3 + 2263094889/2066443078*c_1001_3^2 - 694745403/2066443078*c_1001_3 - 246403265/1033221539, c_0101_11 - 18946768/1033221539*c_1001_3^9 - 36620202/1033221539*c_1001_3^8 - 174049055/1033221539*c_1001_3^7 - 115410420/1033221539*c_1001_3^6 - 698713440/1033221539*c_1001_3^5 - 426209682/1033221539*c_1001_3^4 - 57821801/21983437*c_1001_3^3 - 2872064686/1033221539*c_1001_3^2 - 3523079520/1033221539*c_1001_3 - 2582537586/1033221539, c_0101_2 - 11082128/1033221539*c_1001_3^9 - 6072615/1033221539*c_1001_3^8 - 67315337/1033221539*c_1001_3^7 + 49031746/1033221539*c_1001_3^6 - 285535220/1033221539*c_1001_3^5 + 66352101/1033221539*c_1001_3^4 - 25216270/21983437*c_1001_3^3 - 168416277/1033221539*c_1001_3^2 - 185159130/1033221539*c_1001_3 + 25694649/1033221539, c_0101_7 + 218465/6280982*c_1001_3^9 + 132435/3140491*c_1001_3^8 + 1712295/6280982*c_1001_3^7 + 144441/3140491*c_1001_3^6 + 3335353/3140491*c_1001_3^5 + 1367929/6280982*c_1001_3^4 + 12243862/3140491*c_1001_3^3 + 21377729/6280982*c_1001_3^2 + 20694647/6280982*c_1001_3 + 6772212/3140491, c_0101_9 + 950791/2066443078*c_1001_3^9 - 5433201/1033221539*c_1001_3^8 + 17666925/2066443078*c_1001_3^7 - 45338434/1033221539*c_1001_3^6 + 80359466/1033221539*c_1001_3^5 - 355507783/2066443078*c_1001_3^4 + 7925255/21983437*c_1001_3^3 - 818058575/2066443078*c_1001_3^2 + 53053487/2066443078*c_1001_3 + 359210501/1033221539, c_1001_0 - 277765/15537166*c_1001_3^9 - 316191/7768583*c_1001_3^8 - 2484445/15537166*c_1001_3^7 - 1208638/7768583*c_1001_3^6 - 4649278/7768583*c_1001_3^5 - 9082159/15537166*c_1001_3^4 - 375162/165289*c_1001_3^3 - 49339759/15537166*c_1001_3^2 - 52579741/15537166*c_1001_3 - 16716745/7768583, c_1001_3^10 + 2*c_1001_3^9 + 9*c_1001_3^8 + 8*c_1001_3^7 + 34*c_1001_3^6 + 33*c_1001_3^5 + 126*c_1001_3^4 + 187*c_1001_3^3 + 197*c_1001_3^2 + 172*c_1001_3 + 64 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.070 Total time: 0.270 seconds, Total memory usage: 32.09MB