Magma V2.19-8 Wed Aug 21 2013 00:55:04 on localhost [Seed = 3230063274] Type ? for help. Type -D to quit. Loading file "L12n902__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n902 geometric_solution 11.69965217 oriented_manifold CS_known 0.0000000000000000 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 0 0 1 1 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 1 -2 1 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 0.765237097345 1.022193191152 0 5 7 6 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.876640505195 0.677935886089 8 0 9 7 0132 0132 0132 1230 0 1 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 0 1 0 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 0.636674820777 0.407553800616 8 10 6 0 3012 0132 1230 0132 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 -2 0 2 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 -0.224315527693 0.857207695061 11 12 0 6 0132 0132 0132 1230 0 0 1 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 1 -1 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 -0.130034054054 0.988973488126 12 1 7 11 0321 0132 0213 0321 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.672227580649 0.324235735816 4 7 1 3 3012 0213 0132 3012 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 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 0.548097855773 0.383752136592 2 5 6 1 3012 0213 0213 0132 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 -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 0.313076415190 0.735720006426 2 10 12 3 0132 0321 0321 1230 0 1 1 1 0 -1 1 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 2 -1 -1 0 0 0 0 1 0 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.580926144900 0.910977639258 10 12 11 2 0321 0321 1230 0132 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 0 0 0 0 0 0 0 0 0 0 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 0.566968845652 0.708043551285 9 3 11 8 0321 0132 1023 0321 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 2 0 -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 0.129902794537 0.713895320816 4 5 10 9 0132 0321 1023 3012 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 1 0 -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 -0.147484206981 1.060326761660 5 4 8 9 0321 0132 0321 0321 0 1 1 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 -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 0.868870494759 1.242235927676 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_10'], 'c_1001_10' : d['c_0011_6'], 'c_1001_12' : d['c_0101_0'], 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_1001_5'], 'c_1001_6' : d['c_1001_5'], 'c_1001_1' : d['c_0101_10'], 'c_1001_0' : d['c_0011_6'], 'c_1001_3' : d['c_0101_3'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_1001_8'], 'c_1001_8' : d['c_1001_8'], 'c_1010_12' : d['c_1001_2'], 'c_1010_11' : d['c_0101_10'], 'c_1010_10' : d['c_0101_3'], 's_0_10' : 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_0011_6'], '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_1100_8' : d['c_0101_0'], 'c_0011_12' : d['c_0011_11'], 'c_1100_5' : d['c_0101_10'], 'c_1100_4' : d['c_0110_6'], 'c_1100_7' : negation(d['c_0101_3']), 'c_1100_6' : negation(d['c_0101_3']), 'c_1100_1' : negation(d['c_0101_3']), 'c_1100_0' : d['c_0110_6'], 'c_1100_3' : d['c_0110_6'], 'c_1100_2' : d['c_0101_1'], 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_1001_8']), 'c_1100_10' : d['c_1001_8'], 's_3_10' : d['1'], 'c_1010_7' : d['c_0101_10'], 'c_1010_6' : negation(d['c_0101_3']), 'c_1010_5' : d['c_0101_10'], 'c_1010_4' : d['c_0101_0'], 'c_1010_3' : d['c_0011_6'], 'c_1010_2' : d['c_0011_6'], 'c_1010_1' : d['c_1001_5'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_1001_2'], 'c_1010_8' : d['c_0101_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'], 'c_1100_12' : d['c_1001_8'], '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_0'], 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_11']), 'c_0011_7' : d['c_0011_7'], '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' : negation(d['c_0011_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_1'], 'c_0110_10' : negation(d['c_0011_0']), 'c_0110_12' : negation(d['c_0011_0']), 'c_0101_12' : negation(d['c_0011_7']), 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0011_6'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0011_7'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0011_10']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0101_10']), 'c_0101_8' : d['c_0011_7'], 'c_0011_10' : d['c_0011_10'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_10']), 'c_0110_8' : negation(d['c_0011_10']), 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0011_7'], 'c_0110_5' : negation(d['c_0011_11']), 'c_0110_4' : d['c_0011_6'], 'c_0110_7' : d['c_0101_1'], '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_6, c_0011_7, c_0101_0, c_0101_1, c_0101_10, c_0101_3, c_0110_6, c_1001_2, c_1001_5, c_1001_8 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 1001175013696/2530896125*c_1001_8^9 - 2930907626976/2530896125*c_1001_8^8 + 4365830340616/2530896125*c_1001_8^7 - 1014111094576/506179225*c_1001_8^6 + 5607079220618/2530896125*c_1001_8^5 - 3764464678606/2530896125*c_1001_8^4 + 563231883167/506179225*c_1001_8^3 - 2155140696263/5061792250*c_1001_8^2 + 9134155913/40494338*c_1001_8 - 15716138223/2530896125, c_0011_0 - 1, c_0011_10 + 2106469248/101235845*c_1001_8^9 - 5591339264/101235845*c_1001_8^8 + 7847253232/101235845*c_1001_8^7 - 9375372088/101235845*c_1001_8^6 + 10680227728/101235845*c_1001_8^5 - 6543110388/101235845*c_1001_8^4 + 5658728746/101235845*c_1001_8^3 - 411381986/20247169*c_1001_8^2 + 1146025693/101235845*c_1001_8 - 23468483/101235845, c_0011_11 + 4136171008/101235845*c_1001_8^9 - 10559873344/101235845*c_1001_8^8 + 13502588352/101235845*c_1001_8^7 - 14485861288/101235845*c_1001_8^6 + 15881935908/101235845*c_1001_8^5 - 7565582908/101235845*c_1001_8^4 + 6547432336/101235845*c_1001_8^3 - 215240387/20247169*c_1001_8^2 + 946250403/101235845*c_1001_8 + 261027567/101235845, c_0011_6 + 257144832/20247169*c_1001_8^9 - 619188864/20247169*c_1001_8^8 + 746655232/20247169*c_1001_8^7 - 827679344/20247169*c_1001_8^6 + 950668904/20247169*c_1001_8^5 - 384404900/20247169*c_1001_8^4 + 371480158/20247169*c_1001_8^3 - 80596080/20247169*c_1001_8^2 + 43314198/20247169*c_1001_8 + 15826504/20247169, c_0011_7 + 8008283904/101235845*c_1001_8^9 - 21809909312/101235845*c_1001_8^8 + 30033294176/101235845*c_1001_8^7 - 33623218264/101235845*c_1001_8^6 + 36815781764/101235845*c_1001_8^5 - 20747459764/101235845*c_1001_8^4 + 16054268568/101235845*c_1001_8^3 - 924620983/20247169*c_1001_8^2 + 2197365119/101235845*c_1001_8 + 485119771/101235845, c_0101_0 - 1, c_0101_1 + 227420928/20247169*c_1001_8^9 - 561106880/20247169*c_1001_8^8 + 648969568/20247169*c_1001_8^7 - 606540776/20247169*c_1001_8^6 + 646322988/20247169*c_1001_8^5 - 205885312/20247169*c_1001_8^4 + 208817054/20247169*c_1001_8^3 + 14310955/20247169*c_1001_8^2 + 20368916/20247169*c_1001_8 + 8927674/20247169, c_0101_10 + 2262985216/101235845*c_1001_8^9 - 6562353728/101235845*c_1001_8^8 + 9349726784/101235845*c_1001_8^7 - 10355291976/101235845*c_1001_8^6 + 11111481716/101235845*c_1001_8^5 - 6643250436/101235845*c_1001_8^4 + 4569534532/101235845*c_1001_8^3 - 321064747/20247169*c_1001_8^2 + 522311721/101235845*c_1001_8 + 12279814/101235845, c_0101_3 - 278288896/20247169*c_1001_8^9 + 756685440/20247169*c_1001_8^8 - 1094606080/20247169*c_1001_8^7 + 1322299664/20247169*c_1001_8^6 - 1456570016/20247169*c_1001_8^5 + 847288800/20247169*c_1001_8^4 - 684963890/20247169*c_1001_8^3 + 209350590/20247169*c_1001_8^2 - 85575078/20247169*c_1001_8 - 12655095/20247169, c_0110_6 - 295764672/20247169*c_1001_8^9 + 759280832/20247169*c_1001_8^8 - 884123352/20247169*c_1001_8^7 + 808997892/20247169*c_1001_8^6 - 879398244/20247169*c_1001_8^5 + 349192000/20247169*c_1001_8^4 - 288372310/20247169*c_1001_8^3 + 54497121/20247169*c_1001_8^2 - 42510565/20247169*c_1001_8 - 2010616/20247169, c_1001_2 - 311397120/20247169*c_1001_8^9 + 895954112/20247169*c_1001_8^8 - 1213625824/20247169*c_1001_8^7 + 1211264648/20247169*c_1001_8^6 - 1236874860/20247169*c_1001_8^5 + 677005992/20247169*c_1001_8^4 - 443060930/20247169*c_1001_8^3 + 108878299/20247169*c_1001_8^2 - 56688605/20247169*c_1001_8 - 7121184/20247169, c_1001_5 - 2106469248/101235845*c_1001_8^9 + 5591339264/101235845*c_1001_8^8 - 7847253232/101235845*c_1001_8^7 + 9375372088/101235845*c_1001_8^6 - 10680227728/101235845*c_1001_8^5 + 6543110388/101235845*c_1001_8^4 - 5658728746/101235845*c_1001_8^3 + 411381986/20247169*c_1001_8^2 - 1146025693/101235845*c_1001_8 + 23468483/101235845, c_1001_8^10 - 5/2*c_1001_8^9 + 25/8*c_1001_8^8 - 27/8*c_1001_8^7 + 121/32*c_1001_8^6 - 7/4*c_1001_8^5 + 101/64*c_1001_8^4 - 37/128*c_1001_8^3 + 7/32*c_1001_8^2 + 11/128*c_1001_8 + 1/128 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.290 Total time: 0.500 seconds, Total memory usage: 32.09MB