Magma V2.19-8 Wed Aug 21 2013 00:55:01 on localhost [Seed = 1208898095] Type ? for help. Type -D to quit. Loading file "L12n879__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n879 geometric_solution 12.14514173 oriented_manifold CS_known 0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 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 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 0.979369424844 1.068833453196 0 3 4 5 0132 3201 3201 0132 1 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 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 0.331292649077 0.827527988629 4 0 3 5 3201 0132 2103 3120 0 1 0 1 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 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 0.335384975242 0.697412899733 2 6 1 0 2103 0132 2310 0132 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 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 0.335384975242 0.697412899733 1 7 0 2 2310 0132 0132 2310 0 1 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 -1 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 0.331292649077 0.827527988629 2 8 1 9 3120 0132 0132 0132 1 1 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 -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 0.753029071751 1.046888778789 7 3 8 10 3120 0132 2103 0132 0 1 1 0 0 0 0 0 -1 0 0 1 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 1 0 -1 1 0 -1 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 0.458194815144 0.336784669520 11 4 9 6 0132 0132 3201 3120 0 1 1 1 0 -1 0 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 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 0.534263109797 0.396502988022 6 5 12 12 2103 0132 2103 0132 1 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 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 0.466830547908 0.734069785967 7 10 5 11 2310 2310 0132 3201 1 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 0 0 0 0 0 0 0 0 0 0 -1 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 0.962838628253 0.896457240035 11 12 6 9 2103 3120 0132 3201 0 1 1 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 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 1.083611572327 0.684554573594 7 9 10 12 0132 2310 2103 0213 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 0 0 0 0 0 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 0.003352154708 1.115017501634 8 10 8 11 2103 3120 0132 0213 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 0 0 0 0 0 0 0 0 1 0 -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 0.383143230582 0.969979189940 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0101_10'], 'c_1001_11' : d['c_0011_10'], 'c_1001_10' : d['c_1001_10'], 'c_1001_12' : negation(d['c_1001_10']), 'c_1001_5' : negation(d['c_1001_10']), 'c_1001_4' : d['c_0011_3'], 'c_1001_7' : negation(d['c_0101_9']), 'c_1001_6' : negation(d['c_0011_5']), 'c_1001_1' : negation(d['c_0101_1']), 'c_1001_0' : negation(d['c_0011_5']), 'c_1001_3' : d['c_1001_10'], 'c_1001_2' : d['c_0011_3'], 'c_1001_9' : d['c_0011_12'], 'c_1001_8' : d['c_0011_12'], 'c_1010_12' : negation(d['c_0011_10']), 'c_1010_11' : d['c_0101_7'], 'c_1010_10' : negation(d['c_0011_12']), 's_3_11' : 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_10'], '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_12' : 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' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0011_11']), 'c_1100_4' : negation(d['c_0011_0']), 'c_1100_7' : negation(d['c_0011_9']), 'c_1100_6' : negation(d['c_0011_9']), 'c_1100_1' : negation(d['c_0011_11']), 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : negation(d['c_0101_0']), 's_0_10' : d['1'], 'c_1100_9' : negation(d['c_0011_11']), 'c_1100_11' : negation(d['c_0011_10']), 'c_1100_10' : negation(d['c_0011_9']), 's_3_10' : d['1'], 'c_1010_7' : d['c_0011_3'], 'c_1010_6' : d['c_1001_10'], 'c_1010_5' : d['c_0011_12'], 'c_1010_4' : negation(d['c_0101_9']), 'c_1010_3' : negation(d['c_0011_5']), 'c_1010_2' : negation(d['c_0011_5']), 'c_1010_1' : negation(d['c_1001_10']), 'c_1010_0' : d['c_0011_3'], 'c_1010_9' : negation(d['c_0011_10']), 'c_1010_8' : negation(d['c_1001_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'], 'c_1100_12' : d['c_0101_7'], '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' : negation(d['c_0011_5']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_11'], 'c_0011_7' : negation(d['c_0011_11']), '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_0101_7'], 'c_0110_10' : d['c_0011_10'], 'c_0110_12' : negation(d['c_0101_7']), 'c_0101_12' : d['c_0011_9'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0011_9'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_1'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : d['c_0011_9'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0101_7']), 'c_0110_8' : d['c_0011_9'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_9'], 'c_0110_5' : d['c_0101_9'], 'c_0110_4' : negation(d['c_0101_1']), 'c_0110_7' : d['c_0101_10'], 'c_1100_8' : d['c_0101_7']})} 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_9, c_0101_0, c_0101_1, c_0101_10, c_0101_7, c_0101_9, c_1001_10 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 15 Groebner basis: [ t + 59399651686402/1779355623225*c_1001_10^14 + 5352594454856/355871124645*c_1001_10^13 - 17222544562087/71174224929*c_1001_10^12 - 411269568876193/593118541075*c_1001_10^11 - 19622253308539963/14234844985800*c_1001_10^10 - 9861982573221213/4744948328600*c_1001_10^9 - 14451796803967111/4744948328600*c_1001_10^8 - 54091039951782589/14234844985800*c_1001_10^7 - 18840346219566893/4744948328600*c_1001_10^6 - 2393667904472971/711742249290*c_1001_10^5 - 3195308355744653/1186237082150*c_1001_10^4 - 1220878620585441/593118541075*c_1001_10^3 - 5819280531437381/4744948328600*c_1001_10^2 - 512546309008959/1186237082150*c_1001_10 - 766370081343197/14234844985800, c_0011_0 - 1, c_0011_10 + 733391704232/71174224929*c_1001_10^14 + 3196310017072/71174224929*c_1001_10^13 + 2347614989500/23724741643*c_1001_10^12 + 12098034051532/71174224929*c_1001_10^11 + 34569854943353/142348449858*c_1001_10^10 + 46374257179591/142348449858*c_1001_10^9 + 53496514537141/142348449858*c_1001_10^8 + 51212533042537/142348449858*c_1001_10^7 + 40523811195553/142348449858*c_1001_10^6 + 5002256082852/23724741643*c_1001_10^5 + 10426095507803/71174224929*c_1001_10^4 + 5018249252849/71174224929*c_1001_10^3 + 1134044408737/142348449858*c_1001_10^2 - 792629087984/71174224929*c_1001_10 - 207650011527/47449483286, c_0011_11 + 129980302800/23724741643*c_1001_10^14 + 543601485600/23724741643*c_1001_10^13 + 3502235677144/71174224929*c_1001_10^12 + 5918767631992/71174224929*c_1001_10^11 + 8285435854675/71174224929*c_1001_10^10 + 11107306705273/71174224929*c_1001_10^9 + 4169358511859/23724741643*c_1001_10^8 + 11807231849830/71174224929*c_1001_10^7 + 2981319133052/23724741643*c_1001_10^6 + 2223554688717/23724741643*c_1001_10^5 + 4503913766732/71174224929*c_1001_10^4 + 694648157430/23724741643*c_1001_10^3 - 4267800877/23724741643*c_1001_10^2 - 367361519350/71174224929*c_1001_10 - 80394387623/71174224929, c_0011_12 + 293515571344/71174224929*c_1001_10^14 + 1195156582736/71174224929*c_1001_10^13 + 832560785512/23724741643*c_1001_10^12 + 1389993514880/23724741643*c_1001_10^11 + 5785680770525/71174224929*c_1001_10^10 + 7741803794630/71174224929*c_1001_10^9 + 8595762619963/71174224929*c_1001_10^8 + 7990477433062/71174224929*c_1001_10^7 + 5946415703189/71174224929*c_1001_10^6 + 4471857762473/71174224929*c_1001_10^5 + 2985583879016/71174224929*c_1001_10^4 + 1203860030126/71174224929*c_1001_10^3 - 34700388336/23724741643*c_1001_10^2 - 83472832816/23724741643*c_1001_10 - 58194130373/71174224929, c_0011_3 - 129980302800/23724741643*c_1001_10^14 - 543601485600/23724741643*c_1001_10^13 - 3502235677144/71174224929*c_1001_10^12 - 5918767631992/71174224929*c_1001_10^11 - 8285435854675/71174224929*c_1001_10^10 - 11107306705273/71174224929*c_1001_10^9 - 4169358511859/23724741643*c_1001_10^8 - 11807231849830/71174224929*c_1001_10^7 - 2981319133052/23724741643*c_1001_10^6 - 2223554688717/23724741643*c_1001_10^5 - 4503913766732/71174224929*c_1001_10^4 - 694648157430/23724741643*c_1001_10^3 + 4267800877/23724741643*c_1001_10^2 + 438535744279/71174224929*c_1001_10 + 80394387623/71174224929, c_0011_5 - 23680274400/23724741643*c_1001_10^14 - 258778778944/71174224929*c_1001_10^13 - 452362415936/71174224929*c_1001_10^12 - 629385612992/71174224929*c_1001_10^11 - 724321570298/71174224929*c_1001_10^10 - 901324326550/71174224929*c_1001_10^9 - 772625040757/71174224929*c_1001_10^8 - 376776785086/71174224929*c_1001_10^7 + 34957134856/23724741643*c_1001_10^6 + 133708510717/71174224929*c_1001_10^5 + 138622430878/71174224929*c_1001_10^4 + 97625229172/23724741643*c_1001_10^3 + 378225226585/71174224929*c_1001_10^2 + 34872638909/23724741643*c_1001_10 - 41462146252/71174224929, c_0011_9 + 415285504784/71174224929*c_1001_10^14 + 1468494315920/71174224929*c_1001_10^13 + 2718454559672/71174224929*c_1001_10^12 + 1469037433472/23724741643*c_1001_10^11 + 1936737847287/23724741643*c_1001_10^10 + 2595522486214/23724741643*c_1001_10^9 + 2661011907929/23724741643*c_1001_10^8 + 2298537913904/23724741643*c_1001_10^7 + 4737206878751/71174224929*c_1001_10^6 + 3655168595795/71174224929*c_1001_10^5 + 2144463335401/71174224929*c_1001_10^4 + 421060231484/71174224929*c_1001_10^3 - 449776703735/71174224929*c_1001_10^2 - 250957677728/71174224929*c_1001_10 - 1329641234/71174224929, c_0101_0 + 129980302800/23724741643*c_1001_10^14 + 543601485600/23724741643*c_1001_10^13 + 3502235677144/71174224929*c_1001_10^12 + 5918767631992/71174224929*c_1001_10^11 + 8285435854675/71174224929*c_1001_10^10 + 11107306705273/71174224929*c_1001_10^9 + 4169358511859/23724741643*c_1001_10^8 + 11807231849830/71174224929*c_1001_10^7 + 2981319133052/23724741643*c_1001_10^6 + 2223554688717/23724741643*c_1001_10^5 + 4503913766732/71174224929*c_1001_10^4 + 694648157430/23724741643*c_1001_10^3 - 4267800877/23724741643*c_1001_10^2 - 438535744279/71174224929*c_1001_10 - 80394387623/71174224929, c_0101_1 - 1, c_0101_10 + 601951118664/23724741643*c_1001_10^14 + 2599617831024/23724741643*c_1001_10^13 + 16879241796364/71174224929*c_1001_10^12 + 28611391474564/71174224929*c_1001_10^11 + 81319649326775/142348449858*c_1001_10^10 + 108645873460841/142348449858*c_1001_10^9 + 41435662865721/47449483286*c_1001_10^8 + 117276782793353/142348449858*c_1001_10^7 + 30480012003877/47449483286*c_1001_10^6 + 11326248414769/23724741643*c_1001_10^5 + 23501639337281/71174224929*c_1001_10^4 + 3574734554058/23724741643*c_1001_10^3 + 481626608127/47449483286*c_1001_10^2 - 1764860944774/71174224929*c_1001_10 - 1108539009433/142348449858, c_0101_7 - 291142261896/23724741643*c_1001_10^14 - 1308474896256/23724741643*c_1001_10^13 - 2937171622004/23724741643*c_1001_10^12 - 15108582162508/71174224929*c_1001_10^11 - 14452523975781/47449483286*c_1001_10^10 - 58136272897055/142348449858*c_1001_10^9 - 22422278716589/47449483286*c_1001_10^8 - 21576659874993/47449483286*c_1001_10^7 - 50940269039873/142348449858*c_1001_10^6 - 18910387186859/71174224929*c_1001_10^5 - 13143546475708/71174224929*c_1001_10^4 - 6454177342717/71174224929*c_1001_10^3 - 1367940981997/142348449858*c_1001_10^2 + 993942621299/71174224929*c_1001_10 + 771667586773/142348449858, c_0101_9 + c_1001_10, c_1001_10^15 + 5*c_1001_10^14 + 25/2*c_1001_10^13 + 23*c_1001_10^12 + 557/16*c_1001_10^11 + 383/8*c_1001_10^10 + 233/4*c_1001_10^9 + 483/8*c_1001_10^8 + 209/4*c_1001_10^7 + 645/16*c_1001_10^6 + 29*c_1001_10^5 + 69/4*c_1001_10^4 + 97/16*c_1001_10^3 - 3/16*c_1001_10^2 - 17/16*c_1001_10 - 5/16 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.210 Total time: 0.410 seconds, Total memory usage: 32.09MB