Magma V2.19-8 Tue Aug 20 2013 23:39:24 on localhost [Seed = 1696792893] Type ? for help. Type -D to quit. Loading file "K13n3582__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K13n3582 geometric_solution 9.27958740 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 11 1 2 3 4 0132 0132 0132 0132 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 -1 0 1 1 0 -1 0 0 0 0 0 0 -6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.705696039884 0.346733241915 0 2 6 5 0132 0321 0132 0132 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 1 -1 0 -1 0 1 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 0.485770725456 0.915431204178 4 0 3 1 3201 0132 0213 0321 0 0 0 0 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 6 0 -6 0 -1 6 0 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.842900494897 0.531652962174 5 2 4 0 0132 0213 0213 0132 0 0 0 0 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 0 0 0 5 0 -6 1 0 6 0 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.588402100001 0.700001378045 7 3 0 2 0132 0213 0132 2310 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 0 -1 1 0 0 0 0 0 6 0 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.118850842706 0.694978285918 3 6 1 8 0132 0132 0132 0132 0 0 0 0 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 -5 0 0 5 0 0 0 0 0 -5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.769616519724 1.120823076037 7 5 9 1 2031 0132 0132 0132 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 -1 1 0 0 1 -1 -5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.219194055259 0.223253231106 4 10 6 10 0132 0132 1302 1023 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 -5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.692541287333 1.073680549351 10 9 5 10 0213 0132 0132 1302 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 5 0 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.825890870946 0.447644670564 9 8 9 6 2310 0132 3201 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 -1 1 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 0.804634584359 1.143246574192 8 7 8 7 0213 0132 2031 1023 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 -5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.343272336843 0.383187843433 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : d['c_0110_10'], 'c_1001_5' : d['c_1001_0'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_0101_1'], 'c_1001_6' : d['c_1001_6'], 'c_1001_1' : d['c_1001_0'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_2'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_0101_6'], 'c_1001_8' : d['c_1001_6'], 'c_1010_10' : d['c_0101_1'], '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_0011_8'], '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_10' : 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_1100_9' : d['c_0011_8'], 'c_1100_8' : d['c_0011_8'], 'c_1100_5' : d['c_0011_8'], 'c_1100_4' : negation(d['c_0011_0']), 'c_1100_7' : d['c_0101_6'], 'c_1100_6' : d['c_0011_8'], 'c_1100_1' : d['c_0011_8'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : d['c_1001_0'], 'c_1100_10' : negation(d['c_0101_6']), 'c_1010_7' : d['c_0110_10'], 'c_1010_6' : d['c_1001_0'], 'c_1010_5' : d['c_1001_6'], 'c_1010_4' : negation(d['c_0011_0']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_0'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_1001_6'], 'c_1010_8' : d['c_0101_6'], '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'], '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' : negation(d['c_0011_8']), 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_10'], 'c_0011_7' : negation(d['c_0011_10']), 'c_0011_6' : 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_10' : d['c_0110_10'], 'c_0101_7' : negation(d['c_0011_3']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0011_10'], 'c_0101_2' : d['c_0011_3'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0101_6']), 'c_0101_8' : d['c_0011_10'], 'c_0011_10' : d['c_0011_10'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_6'], 'c_0110_8' : negation(d['c_0110_10']), '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_0011_0'], 'c_0110_5' : d['c_0011_10'], 'c_0110_4' : negation(d['c_0011_3']), 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0101_1']})} 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_8, c_0101_0, c_0101_1, c_0101_6, c_0110_10, c_1001_0, c_1001_2, c_1001_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 1786116941/278249268495*c_1001_6^9 - 197489096482/3617240490435*c_1001_6^8 + 233991605476/3617240490435*c_1001_6^7 - 641986529117/3617240490435*c_1001_6^6 + 835586943077/3617240490435*c_1001_6^5 - 1262513178174/1205746830145*c_1001_6^4 + 1099900578373/3617240490435*c_1001_6^3 - 54142367087/109613348195*c_1001_6^2 - 194670168569/3617240490435*c_1001_6 - 668631301674/1205746830145, c_0011_0 - 1, c_0011_10 + 514954/2142769*c_1001_6^9 - 605201/2142769*c_1001_6^8 + 2598173/2142769*c_1001_6^7 - 1856437/2142769*c_1001_6^6 + 10857306/2142769*c_1001_6^5 - 4873565/2142769*c_1001_6^4 + 15507306/2142769*c_1001_6^3 - 2907651/2142769*c_1001_6^2 + 5313319/2142769*c_1001_6 + 1884071/2142769, c_0011_3 - 78888/2142769*c_1001_6^9 + 82760/2142769*c_1001_6^8 - 280075/2142769*c_1001_6^7 + 210428/2142769*c_1001_6^6 - 1532261/2142769*c_1001_6^5 + 815385/2142769*c_1001_6^4 - 1037724/2142769*c_1001_6^3 + 1288913/2142769*c_1001_6^2 - 990009/2142769*c_1001_6 + 1223935/2142769, c_0011_8 + 202538/2142769*c_1001_6^9 - 588838/2142769*c_1001_6^8 + 1350371/2142769*c_1001_6^7 - 2355340/2142769*c_1001_6^6 + 5277875/2142769*c_1001_6^5 - 8939762/2142769*c_1001_6^4 + 8284226/2142769*c_1001_6^3 - 10015564/2142769*c_1001_6^2 + 3942188/2142769*c_1001_6 + 526883/2142769, c_0101_0 + 475415/2142769*c_1001_6^9 - 485277/2142769*c_1001_6^8 + 2252914/2142769*c_1001_6^7 - 1257596/2142769*c_1001_6^6 + 9464356/2142769*c_1001_6^5 - 2401082/2142769*c_1001_6^4 + 11971216/2142769*c_1001_6^3 + 970574/2142769*c_1001_6^2 + 65563/2142769*c_1001_6 + 4281605/2142769, c_0101_1 + 377585/2142769*c_1001_6^9 - 462828/2142769*c_1001_6^8 + 2149886/2142769*c_1001_6^7 - 1664179/2142769*c_1001_6^6 + 8945702/2142769*c_1001_6^5 - 4322286/2142769*c_1001_6^4 + 15485506/2142769*c_1001_6^3 - 3302783/2142769*c_1001_6^2 + 5793691/2142769*c_1001_6 + 1949511/2142769, c_0101_6 + 456473/2142769*c_1001_6^9 - 545588/2142769*c_1001_6^8 + 2429961/2142769*c_1001_6^7 - 1874607/2142769*c_1001_6^6 + 10477963/2142769*c_1001_6^5 - 5137671/2142769*c_1001_6^4 + 16523230/2142769*c_1001_6^3 - 4591696/2142769*c_1001_6^2 + 8926469/2142769*c_1001_6 + 725576/2142769, c_0110_10 - 451469/2142769*c_1001_6^9 + 784146/2142769*c_1001_6^8 - 2649810/2142769*c_1001_6^7 + 2985121/2142769*c_1001_6^6 - 10888267/2142769*c_1001_6^5 + 9786417/2142769*c_1001_6^4 - 17467838/2142769*c_1001_6^3 + 10099586/2142769*c_1001_6^2 - 6443522/2142769*c_1001_6 - 1082548/2142769, c_1001_0 + 137369/2142769*c_1001_6^9 - 142373/2142769*c_1001_6^8 + 448287/2142769*c_1001_6^7 - 192258/2142769*c_1001_6^6 + 1911604/2142769*c_1001_6^5 - 551279/2142769*c_1001_6^4 + 21800/2142769*c_1001_6^3 + 395132/2142769*c_1001_6^2 - 2623141/2142769*c_1001_6 - 65440/2142769, c_1001_2 + 138866/2142769*c_1001_6^9 - 207177/2142769*c_1001_6^8 + 648436/2142769*c_1001_6^7 - 504922/2142769*c_1001_6^6 + 2575053/2142769*c_1001_6^5 - 1927658/2142769*c_1001_6^4 + 2704145/2142769*c_1001_6^3 - 590623/2142769*c_1001_6^2 - 1136538/2142769*c_1001_6 - 470267/2142769, c_1001_6^10 - c_1001_6^9 + 5*c_1001_6^8 - 3*c_1001_6^7 + 22*c_1001_6^6 - 7*c_1001_6^5 + 34*c_1001_6^4 - 4*c_1001_6^3 + 21*c_1001_6^2 + 2*c_1001_6 + 13 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.190 Total time: 0.410 seconds, Total memory usage: 32.09MB