Magma V2.19-8 Wed Aug 21 2013 01:02:17 on localhost [Seed = 930163964] Type ? for help. Type -D to quit. Loading file "L14n14252__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n14252 geometric_solution 12.76255617 oriented_manifold CS_known -0.0000000000000005 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 2 3 0132 0132 1302 0132 0 0 0 1 0 1 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 0 0 0 0 0 -1 1 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 0.310990509163 0.984082162496 0 4 5 4 0132 0132 0132 1230 0 0 1 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 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 0.140480594636 1.016432476199 0 0 7 6 2031 0132 0132 0132 0 0 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 0 0 0 0 0 0 0 1 0 -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 0.708026539641 0.923905604177 8 9 0 10 0132 0132 0132 0132 0 0 0 0 0 -1 2 -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 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 0.070339461808 1.081864319806 1 1 9 11 3012 0132 2031 0132 0 0 0 1 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 -1 1 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 0.485081121980 0.573637084741 8 6 12 1 1302 1302 0132 0132 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 0 0 0 0.393522647396 1.014300153407 10 10 2 5 1302 3012 0132 2031 0 0 0 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 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 0.555675722116 0.707597377412 10 11 11 2 3012 1302 3012 0132 0 0 0 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 0 0 0 0 0 -1 1 0 0 0 0 -1 8 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.524664163445 0.628694856817 3 5 8 8 0132 2031 1230 3012 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 0 0 0 0.406917522457 1.303338733777 12 3 12 4 0321 0132 2310 1302 0 1 0 0 0 1 -1 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 -1 1 0 0 0 -1 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 0.291374452138 0.844662537181 6 6 3 7 1230 2031 0132 1230 0 0 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 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 0.555675722116 0.707597377412 12 7 4 7 2031 1230 0132 2031 0 0 1 0 0 -1 1 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 1 -1 0 0 0 0 0 1 7 0 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.765187991326 1.012062877757 9 9 11 5 0321 3201 1302 0132 0 0 0 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 0 0 0 0 0 0 0 1 -1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.582940647702 0.694849526664 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_1'], 'c_1001_10' : negation(d['c_0110_6']), 'c_1001_12' : negation(d['c_0011_11']), 'c_1001_5' : d['c_0110_6'], 'c_1001_4' : d['c_0011_12'], 'c_1001_7' : negation(d['c_0011_11']), 'c_1001_6' : negation(d['c_0011_10']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : negation(d['c_0011_10']), 'c_1001_3' : d['c_1001_2'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : negation(d['c_0110_6']), 'c_1001_8' : negation(d['c_0101_1']), 'c_1010_12' : d['c_0110_6'], 'c_1010_11' : d['c_0011_6'], 'c_1010_10' : d['c_0011_6'], 's_0_10' : negation(d['1']), 's_0_11' : 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' : d['c_0101_11'], 'c_0101_10' : negation(d['c_0011_5']), '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' : 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' : 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' : d['1'], 's_0_1' : d['1'], 'c_0011_11' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0101_11'], 'c_1100_4' : negation(d['c_1001_2']), 'c_1100_7' : negation(d['c_1001_1']), 'c_1100_6' : negation(d['c_1001_1']), 'c_1100_1' : d['c_0101_11'], 'c_1100_0' : d['c_0101_2'], 'c_1100_3' : d['c_0101_2'], 'c_1100_2' : negation(d['c_1001_1']), 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_1001_2']), 'c_1100_10' : d['c_0101_2'], 's_3_10' : d['1'], 'c_1010_7' : d['c_1001_2'], 'c_1010_6' : d['c_0011_5'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_1001_1'], 'c_1010_3' : negation(d['c_0110_6']), 'c_1010_2' : negation(d['c_0011_10']), 'c_1010_1' : d['c_0011_12'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_1001_2'], 'c_1010_8' : d['c_0011_5'], 'c_1100_8' : d['c_0101_1'], 's_3_1' : negation(d['1']), 's_3_0' : negation(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' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : d['c_0101_11'], 's_1_7' : d['1'], 's_1_6' : negation(d['1']), 's_1_5' : 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_3']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : d['c_0011_6'], '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_0']), 'c_0110_11' : negation(d['c_0011_11']), 'c_0110_10' : d['c_0011_6'], 'c_0110_12' : d['c_0011_3'], 'c_0101_12' : negation(d['c_0011_11']), 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0011_6'], 'c_0101_6' : negation(d['c_0011_10']), 'c_0101_5' : d['c_0011_3'], 'c_0101_4' : d['c_0011_12'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_0'], 'c_0101_9' : d['c_0011_11'], 'c_0101_8' : negation(d['c_0011_5']), 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_12']), 'c_0110_8' : d['c_0101_1'], 'c_0110_1' : d['c_0011_0'], 'c_1100_9' : d['c_0011_12'], 'c_0110_3' : negation(d['c_0011_5']), 'c_0110_2' : negation(d['c_0011_10']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_11'], 'c_0110_7' : d['c_0101_2'], 'c_0110_6' : d['c_0110_6']})} 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_12, c_0011_3, c_0011_5, c_0011_6, c_0101_1, c_0101_11, c_0101_2, c_0110_6, c_1001_1, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t - 8047513984915505/280607672893*c_1001_2^10 - 302377470366541099/280607672893*c_1001_2^9 - 4160587903483018896/280607672893*c_1001_2^8 - 26428702886470774474/280607672893*c_1001_2^7 - 83381972530159248408/280607672893*c_1001_2^6 - 138391923475751899462/280607672893*c_1001_2^5 - 124156193594147060439/280607672893*c_1001_2^4 - 58561917313801926502/280607672893*c_1001_2^3 - 12910566744203461424/280607672893*c_1001_2^2 - 939129120929677946/280607672893*c_1001_2 - 19269774869125175/280607672893, c_0011_0 - 1, c_0011_10 - 96863323/69302957*c_1001_2^10 - 3620668315/69302957*c_1001_2^9 - 49381768150/69302957*c_1001_2^8 - 308805939675/69302957*c_1001_2^7 - 947734646080/69302957*c_1001_2^6 - 1506779150763/69302957*c_1001_2^5 - 1273665920694/69302957*c_1001_2^4 - 557667803014/69302957*c_1001_2^3 - 114686397328/69302957*c_1001_2^2 - 8836196130/69302957*c_1001_2 - 274283718/69302957, c_0011_11 + 85153138/69302957*c_1001_2^10 + 3179224881/69302957*c_1001_2^9 + 43272620950/69302957*c_1001_2^8 + 269575429454/69302957*c_1001_2^7 + 821265398964/69302957*c_1001_2^6 + 1287638609035/69302957*c_1001_2^5 + 1058112444801/69302957*c_1001_2^4 + 432255043069/69302957*c_1001_2^3 + 71072536058/69302957*c_1001_2^2 + 950387367/69302957*c_1001_2 - 125396936/69302957, c_0011_12 + 705809/505861*c_1001_2^10 + 26445295/505861*c_1001_2^9 + 362085860/505861*c_1001_2^8 + 2278975180/505861*c_1001_2^7 + 7064627448/505861*c_1001_2^6 + 11358097251/505861*c_1001_2^5 + 9650187350/505861*c_1001_2^4 + 4171167000/505861*c_1001_2^3 + 809096704/505861*c_1001_2^2 + 49562693/505861*c_1001_2 + 812293/505861, c_0011_3 + 323015581/69302957*c_1001_2^10 + 12106347831/69302957*c_1001_2^9 + 165872129170/69302957*c_1001_2^8 + 1045839820709/69302957*c_1001_2^7 + 3257870594916/69302957*c_1001_2^6 + 5307688632616/69302957*c_1001_2^5 + 4657490424672/69302957*c_1001_2^4 + 2159205355456/69302957*c_1001_2^3 + 485568521559/69302957*c_1001_2^2 + 42805364449/69302957*c_1001_2 + 1052636903/69302957, c_0011_5 - 150668405/69302957*c_1001_2^10 - 5650214838/69302957*c_1001_2^9 - 77491509705/69302957*c_1001_2^8 - 489449432730/69302957*c_1001_2^7 - 1529392784754/69302957*c_1001_2^6 - 2503678569658/69302957*c_1001_2^5 - 2211615778367/69302957*c_1001_2^4 - 1033790200044/69302957*c_1001_2^3 - 234263898794/69302957*c_1001_2^2 - 20629024568/69302957*c_1001_2 - 464510795/69302957, c_0011_6 + 172347176/69302957*c_1001_2^10 + 6456132993/69302957*c_1001_2^9 + 88380619465/69302957*c_1001_2^8 + 556390387979/69302957*c_1001_2^7 + 1728477810162/69302957*c_1001_2^6 + 2804010062958/69302957*c_1001_2^5 + 2445874646305/69302957*c_1001_2^4 + 1125415155412/69302957*c_1001_2^3 + 251304622765/69302957*c_1001_2^2 + 22176339881/69302957*c_1001_2 + 588126108/69302957, c_0101_1 - 1, c_0101_11 + 46166436/69302957*c_1001_2^10 + 1727093179/69302957*c_1001_2^9 + 23583122532/69302957*c_1001_2^8 + 147677562982/69302957*c_1001_2^7 + 453239396422/69302957*c_1001_2^6 + 714904162504/69302957*c_1001_2^5 + 584912755529/69302957*c_1001_2^4 + 232377474698/69302957*c_1001_2^3 + 35019987366/69302957*c_1001_2^2 - 235736825/69302957*c_1001_2 - 156677850/69302957, c_0101_2 - 96863323/69302957*c_1001_2^10 - 3620668315/69302957*c_1001_2^9 - 49381768150/69302957*c_1001_2^8 - 308805939675/69302957*c_1001_2^7 - 947734646080/69302957*c_1001_2^6 - 1506779150763/69302957*c_1001_2^5 - 1273665920694/69302957*c_1001_2^4 - 557667803014/69302957*c_1001_2^3 - 114686397328/69302957*c_1001_2^2 - 8766893173/69302957*c_1001_2 - 274283718/69302957, c_0110_6 + 233759514/69302957*c_1001_2^10 + 8766165460/69302957*c_1001_2^9 + 120225663870/69302957*c_1001_2^8 + 759374578596/69302957*c_1001_2^7 + 2373053084640/69302957*c_1001_2^6 + 3886481006517/69302957*c_1001_2^5 + 3438992372670/69302957*c_1001_2^4 + 1617343055904/69302957*c_1001_2^3 + 373953229372/69302957*c_1001_2^2 + 35030491972/69302957*c_1001_2 + 912923312/69302957, c_1001_1 - 50529397/69302957*c_1001_2^10 - 1895912236/69302957*c_1001_2^9 - 26022640288/69302957*c_1001_2^8 - 164542036678/69302957*c_1001_2^7 - 514614563954/69302957*c_1001_2^6 - 841155160883/69302957*c_1001_2^5 - 737162911421/69302957*c_1001_2^4 - 339072404302/69302957*c_1001_2^3 - 75826261082/69302957*c_1001_2^2 - 7025825766/69302957*c_1001_2 - 267961991/69302957, c_1001_2^11 + 38*c_1001_2^10 + 533*c_1001_2^9 + 3504*c_1001_2^8 + 11756*c_1001_2^7 + 21586*c_1001_2^6 + 22686*c_1001_2^5 + 13760*c_1001_2^4 + 4648*c_1001_2^3 + 785*c_1001_2^2 + 51*c_1001_2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.320 Total time: 0.530 seconds, Total memory usage: 32.09MB