Magma V2.19-8 Wed Aug 21 2013 00:59:52 on localhost [Seed = 2378929848] Type ? for help. Type -D to quit. Loading file "L13n7854__sl2_c6.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n7854 geometric_solution 11.98379141 oriented_manifold CS_known 0.0000000000000002 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 0 1 2 0 3012 0132 0132 1230 2 2 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 0 0 0 0 0 0 0 0 0 0 -1 0 1 -1 0 0 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 0.184898218769 0.616741326036 2 0 3 3 2310 0132 2103 0132 2 1 2 2 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 1 -4 3 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 0.382949826452 1.171684525115 4 5 1 0 0132 0132 3201 0132 2 2 2 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 0 0 1 0 0 -1 -4 5 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.382949826452 1.171684525115 1 5 1 6 2103 0213 0132 0132 2 1 2 2 0 0 1 -1 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 -3 3 1 0 0 -1 4 0 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.747975625413 0.771101171112 2 7 8 5 0132 0132 0132 1023 2 2 1 2 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 4 -4 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.657568121050 1.280200137575 8 2 3 4 0132 0132 0213 1023 2 2 1 2 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 5 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.351395039024 0.370536360524 9 7 3 10 0132 0321 0132 0132 2 1 2 2 0 0 1 -1 1 0 0 -1 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 -3 3 -5 0 1 4 0 -4 0 4 0 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.380775172800 0.567713173321 11 4 8 6 0132 0132 1023 0321 2 2 2 1 0 0 0 0 1 0 0 -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 0 0 0 -4 0 0 4 -3 -1 0 4 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.464672965886 0.417354731531 5 12 7 4 0132 0132 1023 0132 2 2 2 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 0 0 0 0 0 0 -5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.814459499145 1.185175920798 6 11 12 10 0132 0213 1230 2103 0 1 2 2 0 0 -1 1 -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 -1 -1 2 5 0 -5 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 -0.238449654400 1.135426346642 11 12 6 9 3201 0213 0132 2103 2 1 0 2 0 -1 1 0 -1 0 1 0 0 1 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 -3 0 4 0 -4 0 1 1 0 -2 4 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.592569047782 0.607455357690 7 12 9 10 0132 1023 0213 2310 0 2 1 2 0 0 0 0 -1 0 0 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 0 1 -1 4 0 0 -4 4 0 0 -4 3 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.177147533270 0.843523875191 11 8 10 9 1023 0132 0213 3012 2 0 1 2 0 0 1 -1 0 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 -3 3 0 0 -1 1 0 -5 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.592569047782 0.607455357690 ==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' : d['c_1001_10'], 'c_1001_12' : d['c_1001_10'], 'c_1001_5' : d['c_1001_0'], 'c_1001_4' : d['c_1001_10'], 'c_1001_7' : d['c_0101_8'], 'c_1001_6' : d['c_1001_6'], 'c_1001_1' : d['c_0011_3'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_0'], 'c_1001_2' : negation(d['c_0101_1']), 'c_1001_9' : d['c_0011_10'], 'c_1001_8' : negation(d['c_0101_10']), 'c_1010_12' : negation(d['c_0101_10']), 'c_1010_11' : negation(d['c_0110_10']), 'c_1010_10' : negation(d['c_0011_10']), 's_0_10' : negation(d['1']), 's_0_11' : negation(d['1']), 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : negation(d['c_0011_6']), 'c_0101_10' : d['c_0101_10'], 's_2_0' : negation(d['1']), 's_2_1' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : negation(d['1']), 's_2_7' : d['1'], 's_2_12' : d['1'], 's_2_10' : negation(d['1']), 's_2_11' : d['1'], 's_0_8' : negation(d['1']), 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : negation(d['1']), 's_0_4' : d['1'], 's_0_5' : negation(d['1']), 's_0_2' : d['1'], 's_0_3' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : negation(d['c_0110_10']), 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_11'], 'c_1100_5' : d['c_1001_6'], 'c_1100_4' : negation(d['c_1001_6']), 'c_1100_7' : d['c_1001_6'], 'c_1100_6' : negation(d['c_0101_6']), 'c_1100_1' : negation(d['c_0101_6']), 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : negation(d['c_0101_6']), 'c_1100_2' : d['c_0011_0'], 's_3_11' : negation(d['1']), 'c_1100_11' : d['c_0011_10'], 'c_1100_10' : negation(d['c_0101_6']), 's_3_10' : d['1'], 'c_1010_7' : d['c_1001_10'], 'c_1010_6' : d['c_1001_10'], 'c_1010_5' : negation(d['c_0101_1']), 'c_1010_4' : d['c_0101_8'], 'c_1010_3' : d['c_1001_6'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_0'], 'c_1010_0' : d['c_0011_3'], 'c_1010_9' : d['c_0011_10'], 'c_1010_8' : d['c_1001_10'], 'c_1100_8' : negation(d['c_1001_6']), 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : negation(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' : negation(d['1']), 's_3_9' : d['1'], 's_3_8' : negation(d['1']), 'c_1100_12' : negation(d['c_0011_10']), 's_1_7' : negation(d['1']), 's_1_6' : d['1'], 's_1_5' : negation(d['1']), 's_1_4' : negation(d['1']), 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : negation(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_6']), 'c_0011_8' : negation(d['c_0011_11']), 'c_0011_5' : d['c_0011_11'], 'c_0011_4' : d['c_0011_11'], 'c_0011_7' : negation(d['c_0011_11']), 'c_0011_6' : d['c_0011_6'], '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_11']), 'c_0110_11' : negation(d['c_0101_10']), 'c_0110_10' : d['c_0110_10'], 'c_0110_12' : negation(d['c_0110_10']), 'c_0101_12' : d['c_0011_10'], 'c_0110_0' : d['c_0011_0'], 'c_0101_7' : negation(d['c_0101_10']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0011_3'], 'c_0101_4' : d['c_0011_3'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : negation(d['c_0101_1']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_3'], 'c_0101_9' : d['c_0101_10'], 'c_0101_8' : d['c_0101_8'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_6'], 'c_0110_8' : d['c_0011_3'], 'c_0110_1' : d['c_0101_1'], 'c_0011_11' : d['c_0011_11'], 'c_0110_3' : d['c_0101_6'], 'c_0110_2' : d['c_0011_3'], 'c_0110_5' : d['c_0101_8'], 'c_0110_4' : negation(d['c_0101_1']), 'c_0110_7' : negation(d['c_0011_6']), 'c_0110_6' : d['c_0101_10']})} 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_10, c_0011_11, c_0011_3, c_0011_6, c_0101_1, c_0101_10, c_0101_6, c_0101_8, c_0110_10, c_1001_0, c_1001_10, c_1001_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t - 506042150655209874709712/978424781622974525889*c_1001_6^8 + 281364450781757648342169/108713864624774947321*c_1001_6^7 - 7091526890695169469346927/652283187748649683926*c_1001_6^6 + 4632918281559536541183611/139774968803282075127*c_1001_6^5 - 34792744868293318949557657/326141593874324841963*c_1001_6^4 + 367233595592428274304161375/1956849563245949051778*c_1001_6^3 - 88123771466382188424037945/279549937606564150254*c_1001_6^2 + 16881446453830480956987722/139774968803282075127*c_1001_6 - 249979010889285962028329785/1956849563245949051778, c_0011_0 - 1, c_0011_10 - 1, c_0011_11 - 83890/25132669*c_1001_6^8 + 396659/25132669*c_1001_6^7 - 1699165/25132669*c_1001_6^6 + 4959764/25132669*c_1001_6^5 - 15830826/25132669*c_1001_6^4 + 24282943/25132669*c_1001_6^3 - 43834881/25132669*c_1001_6^2 - 6350769/25132669*c_1001_6 - 1624327/25132669, c_0011_3 + 1140587241/449397254389*c_1001_6^8 - 3634640353/449397254389*c_1001_6^7 + 14924291636/449397254389*c_1001_6^6 - 38592443494/449397254389*c_1001_6^5 + 142270265282/449397254389*c_1001_6^4 - 120137325178/449397254389*c_1001_6^3 + 324758241023/449397254389*c_1001_6^2 + 137993543899/449397254389*c_1001_6 + 290926737240/449397254389, c_0011_6 - 1640668988/449397254389*c_1001_6^8 + 5712184226/449397254389*c_1001_6^7 - 24830018251/449397254389*c_1001_6^6 + 77875968584/449397254389*c_1001_6^5 - 256574544211/449397254389*c_1001_6^4 + 311148208209/449397254389*c_1001_6^3 - 513769258755/449397254389*c_1001_6^2 - 162182411398/449397254389*c_1001_6 + 356594452406/449397254389, c_0101_1 - 1, c_0101_10 - 5054149822/449397254389*c_1001_6^8 + 25140773164/449397254389*c_1001_6^7 - 103472342436/449397254389*c_1001_6^6 + 317169275148/449397254389*c_1001_6^5 - 1001187452374/449397254389*c_1001_6^4 + 1709278103704/449397254389*c_1001_6^3 - 2817988308420/449397254389*c_1001_6^2 + 1025420910762/449397254389*c_1001_6 - 548328951688/449397254389, c_0101_6 + 83890/25132669*c_1001_6^8 - 396659/25132669*c_1001_6^7 + 1699165/25132669*c_1001_6^6 - 4959764/25132669*c_1001_6^5 + 15830826/25132669*c_1001_6^4 - 24282943/25132669*c_1001_6^3 + 43834881/25132669*c_1001_6^2 + 6350769/25132669*c_1001_6 + 1624327/25132669, c_0101_8 - 2790552948/449397254389*c_1001_6^8 + 14270478147/449397254389*c_1001_6^7 - 57460008837/449397254389*c_1001_6^6 + 173892423774/449397254389*c_1001_6^5 - 552202949963/449397254389*c_1001_6^4 + 969351484371/449397254389*c_1001_6^3 - 1402381341674/449397254389*c_1001_6^2 + 613240539871/449397254389*c_1001_6 - 495786385851/449397254389, c_0110_10 + 5546616337/449397254389*c_1001_6^8 - 28469558991/449397254389*c_1001_6^7 + 119793967218/449397254389*c_1001_6^6 - 369736650699/449397254389*c_1001_6^5 + 1176697194216/449397254389*c_1001_6^4 - 2125032610995/449397254389*c_1001_6^3 + 3500822721129/449397254389*c_1001_6^2 - 1433284421423/449397254389*c_1001_6 + 725171047033/449397254389, c_1001_0 + 359449849/449397254389*c_1001_6^8 - 3458019226/449397254389*c_1001_6^7 + 15458477729/449397254389*c_1001_6^6 - 50093096590/449397254389*c_1001_6^5 + 140800734424/449397254389*c_1001_6^4 - 314065978605/449397254389*c_1001_6^3 + 459053266138/449397254389*c_1001_6^2 - 24435443410/449397254389*c_1001_6 - 261882146153/449397254389, c_1001_10 + 164802608/449397254389*c_1001_6^8 - 581249982/449397254389*c_1001_6^7 + 3585087395/449397254389*c_1001_6^6 - 8650636380/449397254389*c_1001_6^5 + 23775886127/449397254389*c_1001_6^4 - 57410783897/449397254389*c_1001_6^3 + 247033883335/449397254389*c_1001_6^2 + 131776647098/449397254389*c_1001_6 + 322611952658/449397254389, c_1001_6^9 - 5*c_1001_6^8 + 21*c_1001_6^7 - 64*c_1001_6^6 + 206*c_1001_6^5 - 362*c_1001_6^4 + 608*c_1001_6^3 - 231*c_1001_6^2 + 246*c_1001_6 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.040 Total time: 0.240 seconds, Total memory usage: 32.09MB