Magma V2.19-8 Tue Aug 20 2013 23:50:48 on localhost [Seed = 2295260089] Type ? for help. Type -D to quit. Loading file "L12n865__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n865 geometric_solution 10.80695283 oriented_manifold CS_known -0.0000000000000004 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 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 1 -1 0 0 0 0 0 -1 0 1 4 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.961060343049 0.709990405539 0 2 6 5 0132 0213 0132 0132 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 0 0 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.750158169367 0.906957253436 7 0 1 8 0132 0132 0213 0132 1 1 1 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 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.326858150053 0.497288498569 7 4 9 0 2031 1302 0132 0132 1 1 1 1 0 0 0 0 0 0 0 0 -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 1 0 -1 0 0 0 0 -5 1 0 4 5 -4 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.468039303410 0.616249383092 10 6 0 3 0132 0132 0132 2031 1 1 1 0 0 0 0 0 0 0 0 0 0 -1 0 1 1 -1 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 -4 0 4 2 -1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.658775173318 0.584120585008 11 8 1 9 0132 0321 0132 0321 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.416816782378 0.401683530276 10 4 8 1 3120 0132 3201 0132 1 1 0 1 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 -1 0 1 0 -1 1 0 0 0 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.261472498048 0.964312144901 2 11 3 11 0132 1302 1302 3201 1 1 0 1 0 0 0 0 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 -5 5 1 -1 0 0 0 -5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.802662121022 0.929843200978 6 9 2 5 2310 1230 0132 0321 1 1 1 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 0 0 0 0 0 0 0 0 0 0 0 4 0 -4 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 -0.781597316973 1.029099182273 10 5 8 3 2103 0321 3012 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.385982689934 0.794518344801 4 11 9 6 0132 3201 2103 3120 1 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 -1 0 0 1 -2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.544243560671 0.308306875263 5 7 10 7 0132 2310 2310 2031 0 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 -1 1 0 0 0 0 0 -5 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.802662121022 0.929843200978 ==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_0011_9'], 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : d['c_1001_1'], 'c_1001_7' : d['c_0101_0'], 'c_1001_6' : d['c_0011_3'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0101_10'], 'c_1001_2' : d['c_1001_1'], 'c_1001_9' : negation(d['c_0011_8']), 'c_1001_8' : d['c_1001_0'], 'c_1010_11' : d['c_0011_0'], 'c_1010_10' : negation(d['c_0011_10']), 's_0_10' : d['1'], 's_0_11' : negation(d['1']), 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : negation(d['c_0011_9']), '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' : negation(d['1']), 's_2_6' : d['1'], 's_2_7' : 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' : negation(d['1']), 's_0_4' : d['1'], 's_0_5' : negation(d['1']), 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : negation(d['c_1001_0']), 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : negation(d['c_0011_8']), 'c_1100_4' : negation(d['c_1001_0']), 'c_1100_7' : negation(d['c_0011_11']), 'c_1100_6' : negation(d['c_0011_8']), 'c_1100_1' : negation(d['c_0011_8']), 'c_1100_0' : negation(d['c_1001_0']), 'c_1100_3' : negation(d['c_1001_0']), 'c_1100_2' : d['c_1001_5'], 's_3_11' : d['1'], 'c_1100_11' : d['c_0011_10'], 'c_1100_10' : d['c_0011_11'], 's_3_10' : d['1'], 'c_1010_7' : negation(d['c_0011_10']), 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : d['c_0101_10'], 'c_1010_4' : d['c_0011_3'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_5'], 'c_1010_0' : d['c_1001_1'], 'c_1010_9' : d['c_0101_10'], 'c_1010_8' : d['c_0101_10'], 'c_1100_8' : d['c_1001_5'], 's_3_1' : negation(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' : negation(d['1']), 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], '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' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_9'], 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : negation(d['c_0011_11']), 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : d['c_0011_10'], '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_0'], 'c_0110_10' : d['c_0101_1'], 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : negation(d['c_0011_3']), 'c_0101_6' : negation(d['c_0011_11']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_11']), 'c_0101_2' : negation(d['c_0011_0']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_10'], 'c_0101_8' : negation(d['c_0011_3']), 's_1_11' : negation(d['1']), 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_11']), 'c_0110_8' : d['c_0011_11'], '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_0011_3']), 'c_0110_5' : negation(d['c_0011_9']), 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : negation(d['c_0011_0']), 'c_0110_6' : d['c_0101_1']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_3, c_0011_8, c_0011_9, c_0101_0, c_0101_1, c_0101_10, c_1001_0, c_1001_1, c_1001_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 318262016982566/286203798881*c_1001_5^7 + 2228442286522807/858611396643*c_1001_5^6 - 3453361970932871/858611396643*c_1001_5^5 + 5375426706596020/858611396643*c_1001_5^4 + 10033690217906560/858611396643*c_1001_5^3 - 15999147656271737/858611396643*c_1001_5^2 - 16530520496617520/858611396643*c_1001_5 - 1581571534880188/858611396643, c_0011_0 - 1, c_0011_10 + 19065074/5394677*c_1001_5^7 - 130668559/16184031*c_1001_5^6 + 195091730/16184031*c_1001_5^5 - 296150992/16184031*c_1001_5^4 - 649631932/16184031*c_1001_5^3 + 984611159/16184031*c_1001_5^2 + 1046502554/16184031*c_1001_5 + 71119783/16184031, c_0011_11 - 28351158/5394677*c_1001_5^7 + 63778411/5394677*c_1001_5^6 - 95302932/5394677*c_1001_5^5 + 144442050/5394677*c_1001_5^4 + 324342278/5394677*c_1001_5^3 - 473426649/5394677*c_1001_5^2 - 525983878/5394677*c_1001_5 - 49487798/5394677, c_0011_3 + 14515476/5394677*c_1001_5^7 - 34375018/5394677*c_1001_5^6 + 53387752/5394677*c_1001_5^5 - 83184440/5394677*c_1001_5^4 - 150056306/5394677*c_1001_5^3 + 250695860/5394677*c_1001_5^2 + 244895984/5394677*c_1001_5 + 18704405/5394677, c_0011_8 - 14465646/5394677*c_1001_5^7 + 33374079/5394677*c_1001_5^6 - 51049984/5394677*c_1001_5^5 + 78511174/5394677*c_1001_5^4 + 157767910/5394677*c_1001_5^3 - 241399760/5394677*c_1001_5^2 - 250677088/5394677*c_1001_5 - 21198566/5394677, c_0011_9 - 51110382/5394677*c_1001_5^7 + 116380925/5394677*c_1001_5^6 - 174026379/5394677*c_1001_5^5 + 265950766/5394677*c_1001_5^4 + 577199587/5394677*c_1001_5^3 - 864502683/5394677*c_1001_5^2 - 944473999/5394677*c_1001_5 - 82568361/5394677, c_0101_0 - 1, c_0101_1 - 36278566/5394677*c_1001_5^7 + 241764875/16184031*c_1001_5^6 - 353963509/16184031*c_1001_5^5 + 533307890/16184031*c_1001_5^4 + 1283460704/16184031*c_1001_5^3 - 1818033796/16184031*c_1001_5^2 - 2092650760/16184031*c_1001_5 - 188073089/16184031, c_0101_10 + 4863222/5394677*c_1001_5^7 - 11734239/5394677*c_1001_5^6 + 18126838/5394677*c_1001_5^5 - 27789092/5394677*c_1001_5^4 - 50646563/5394677*c_1001_5^3 + 88381273/5394677*c_1001_5^2 + 82288987/5394677*c_1001_5 + 5033790/5394677, c_1001_0 - 11953326/5394677*c_1001_5^7 + 27164105/5394677*c_1001_5^6 - 40334599/5394677*c_1001_5^5 + 61868507/5394677*c_1001_5^4 + 136379854/5394677*c_1001_5^3 - 204177639/5394677*c_1001_5^2 - 223524033/5394677*c_1001_5 - 20889969/5394677, c_1001_1 - 16450378/5394677*c_1001_5^7 + 109439369/16184031*c_1001_5^6 - 160418635/16184031*c_1001_5^5 + 239961911/16184031*c_1001_5^4 + 586244924/16184031*c_1001_5^3 - 826401763/16184031*c_1001_5^2 - 944883118/16184031*c_1001_5 - 81734981/16184031, c_1001_5^8 - 13/6*c_1001_5^7 + 19/6*c_1001_5^6 - 29/6*c_1001_5^5 - 71/6*c_1001_5^4 + 47/3*c_1001_5^3 + 121/6*c_1001_5^2 + 7/2*c_1001_5 + 1/6 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.060 Total time: 0.280 seconds, Total memory usage: 32.09MB