Magma V2.19-8 Tue Aug 20 2013 23:41:13 on localhost [Seed = 3170555956] Type ? for help. Type -D to quit. Loading file "L12n1047__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n1047 geometric_solution 10.48861661 oriented_manifold CS_known -0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 11 1 2 3 1 0132 0132 0132 3201 1 1 1 1 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 -1 0 1 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 1.113875418311 0.675702649072 0 0 5 4 0132 2310 0132 0132 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 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 0.502114408140 0.699790574837 6 0 6 7 0132 0132 0321 0132 1 1 1 1 0 0 0 0 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 1 0 -1 -2 0 2 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 0.338524708208 0.885726698007 8 9 9 0 0132 0132 1302 0132 1 1 1 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 0 0 0 2 0 -2 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 0.574291312904 0.559561249585 8 9 1 6 2103 1230 0132 2031 1 1 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 0 0 0 0 0 0 0 0 0 0 0 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.378463240597 0.695589258074 9 10 10 1 3012 0132 1302 0132 1 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 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 0.093812196577 0.977036566277 2 4 2 10 0132 1302 0321 3012 1 1 1 1 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 0 0 0 0 2 0 -1 -1 0 0 0 0 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.831924351965 0.635221678310 10 8 2 8 3120 3120 0132 1023 1 1 0 1 0 -1 0 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 1 1 -2 0 0 0 0 -1 1 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.277487093789 1.161528667134 3 7 4 7 0132 3120 2103 1023 1 1 0 1 0 0 0 0 1 0 0 -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 -2 0 0 2 1 -1 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.277487093789 1.161528667134 3 3 4 5 2031 0132 3012 1230 1 1 0 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 0 0 -1 0 0 1 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.106744331320 0.870344452258 5 5 6 7 2031 0132 1230 3120 1 1 0 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 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.902623955090 1.014153383337 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0101_2'], 'c_1001_10' : d['c_1001_1'], 'c_1001_5' : negation(d['c_0011_7']), 'c_1001_4' : negation(d['c_0101_1']), 'c_1001_7' : negation(d['c_0011_4']), 'c_1001_6' : d['c_0110_4'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : negation(d['c_0011_4']), 'c_1001_3' : negation(d['c_0011_10']), 'c_1001_2' : negation(d['c_1001_1']), 'c_1001_9' : negation(d['c_0011_4']), 'c_1001_8' : d['c_0011_4'], 'c_1010_10' : negation(d['c_0011_7']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : negation(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' : negation(d['1']), 's_2_10' : d['1'], 's_0_8' : negation(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' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : d['c_0101_1'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_0101_10'], 'c_1100_4' : d['c_0101_10'], 'c_1100_7' : d['c_0110_4'], 'c_1100_6' : negation(d['c_1001_1']), 'c_1100_1' : d['c_0101_10'], 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : d['c_0110_4'], 'c_1100_10' : d['c_0101_2'], 'c_1010_7' : d['c_0011_3'], 'c_1010_6' : negation(d['c_0101_10']), 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_0011_0'], 'c_1010_3' : negation(d['c_0011_4']), 'c_1010_2' : negation(d['c_0011_4']), 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : negation(d['c_1001_1']), 'c_1010_9' : negation(d['c_0011_10']), 'c_1010_8' : negation(d['c_0011_7']), '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' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 's_1_7' : negation(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' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : negation(d['1']), 'c_0011_9' : negation(d['c_0011_3']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : d['c_0011_0'], '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_10' : negation(d['c_0011_7']), 'c_0101_7' : negation(d['c_0101_2']), 'c_0101_6' : negation(d['c_0101_2']), 'c_0101_5' : negation(d['c_0011_10']), 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0011_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_0'], 'c_0101_8' : d['c_0101_0'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_10']), 'c_0110_8' : d['c_0011_3'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_2']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0110_4'], 'c_0110_7' : negation(d['c_0011_7']), 'c_1100_8' : negation(d['c_0110_4'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0011_4, c_0011_7, c_0101_0, c_0101_1, c_0101_10, c_0101_2, c_0110_4, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 4431186883521763/332310896126000*c_1001_1^9 + 30919292648847/830777240315*c_1001_1^8 - 3770842228358367/332310896126000*c_1001_1^7 - 835099353731687/30210081466000*c_1001_1^6 - 1268310475935411/30210081466000*c_1001_1^5 + 3870042034926361/41538862015750*c_1001_1^4 - 1201980212692513/332310896126000*c_1001_1^3 - 262746959217613/13292435845040*c_1001_1^2 - 816544753363049/15105040733000*c_1001_1 + 1671225160208763/41538862015750, c_0011_0 - 1, c_0011_10 - 38231268371/25931400400*c_1001_1^9 + 22017261437/5186280080*c_1001_1^8 - 41804582069/25931400400*c_1001_1^7 - 39028712157/12965700200*c_1001_1^6 - 60407692741/12965700200*c_1001_1^5 + 268481142241/25931400400*c_1001_1^4 - 21479454441/25931400400*c_1001_1^3 - 4957525503/2593140040*c_1001_1^2 - 169703557561/25931400400*c_1001_1 + 62050598479/12965700200, c_0011_3 - 1, c_0011_4 - 28735334081/6482850100*c_1001_1^9 + 13513046409/1296570020*c_1001_1^8 - 1846202089/6482850100*c_1001_1^7 - 23624392837/3241425050*c_1001_1^6 - 25890339563/1620712525*c_1001_1^5 + 146213081371/6482850100*c_1001_1^4 + 25887735229/6482850100*c_1001_1^3 - 803178078/324142505*c_1001_1^2 - 105399305931/6482850100*c_1001_1 + 28023565439/3241425050, c_0011_7 - 31322869927/25931400400*c_1001_1^9 + 15002287041/5186280080*c_1001_1^8 - 9299626633/25931400400*c_1001_1^7 - 29810614969/12965700200*c_1001_1^6 - 50440362917/12965700200*c_1001_1^5 + 187008049837/25931400400*c_1001_1^4 + 8894372363/25931400400*c_1001_1^3 - 2397006439/2593140040*c_1001_1^2 - 116164440917/25931400400*c_1001_1 + 38437892443/12965700200, c_0101_0 - 22360807193/3241425050*c_1001_1^9 + 11295515727/648285010*c_1001_1^8 - 8867826317/3241425050*c_1001_1^7 - 19456481211/1620712525*c_1001_1^6 - 38409515028/1620712525*c_1001_1^5 + 126927132913/3241425050*c_1001_1^4 + 8497632487/3241425050*c_1001_1^3 - 1552685488/324142505*c_1001_1^2 - 84326173943/3241425050*c_1001_1 + 24278340917/1620712525, c_0101_1 - 245784947/6482850100*c_1001_1^9 + 1859053887/1296570020*c_1001_1^8 - 12391994903/6482850100*c_1001_1^7 - 4944129539/3241425050*c_1001_1^6 + 971942644/1620712525*c_1001_1^5 + 31621978517/6482850100*c_1001_1^4 - 15029380917/6482850100*c_1001_1^3 - 657203904/324142505*c_1001_1^2 - 8064338217/6482850100*c_1001_1 + 9370010933/3241425050, c_0101_10 - 5163415519/3241425050*c_1001_1^9 + 2197587961/648285010*c_1001_1^8 + 1028215982/1620712525*c_1001_1^7 - 6097805401/3241425050*c_1001_1^6 - 10387293774/1620712525*c_1001_1^5 + 8682390502/1620712525*c_1001_1^4 + 8471703421/3241425050*c_1001_1^3 + 388444001/324142505*c_1001_1^2 - 9822439722/1620712525*c_1001_1 + 1963927011/1620712525, c_0101_2 + 518763397/1296570020*c_1001_1^9 - 2041521231/1296570020*c_1001_1^8 + 938499171/1296570020*c_1001_1^7 + 252721255/129657002*c_1001_1^6 + 574805967/648285010*c_1001_1^5 - 4995888219/1296570020*c_1001_1^4 - 834318121/1296570020*c_1001_1^3 + 923397049/648285010*c_1001_1^2 + 2496203683/1296570020*c_1001_1 - 117601399/129657002, c_0110_4 - 1756436968/1620712525*c_1001_1^9 + 620077521/324142505*c_1001_1^8 + 2624793971/3241425050*c_1001_1^7 - 4863176849/3241425050*c_1001_1^6 - 5189709356/1620712525*c_1001_1^5 + 12730489031/3241425050*c_1001_1^4 + 1359235722/1620712525*c_1001_1^3 - 300017563/324142505*c_1001_1^2 - 9357941501/3241425050*c_1001_1 + 3260900964/1620712525, c_1001_1^10 - 93/29*c_1001_1^9 + 61/29*c_1001_1^8 + 44/29*c_1001_1^7 + 66/29*c_1001_1^6 - 235/29*c_1001_1^5 + 97/29*c_1001_1^4 + 32/29*c_1001_1^3 + 99/29*c_1001_1^2 - 140/29*c_1001_1 + 44/29 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.240 seconds, Total memory usage: 32.09MB