Magma V2.19-8 Wed Aug 21 2013 01:07:39 on localhost [Seed = 442237697] Type ? for help. Type -D to quit. Loading file "L14n33579__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n33579 geometric_solution 11.66271454 oriented_manifold CS_known -0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 1 3 0132 0132 3012 0132 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 -1 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 0.419653930859 0.714609244207 0 0 5 4 0132 1230 0132 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 -1 0 1 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 0.684800034684 0.843228654832 6 0 8 7 0132 0132 0132 0132 1 1 0 1 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 -1 6 -5 1 0 -1 0 -3 -1 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.711640381262 0.411983502069 9 10 0 11 0132 0132 0132 0132 1 1 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 0 0 0 0 0 1 -1 -5 0 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 0.793841179690 0.687414196907 11 5 1 8 0132 0213 0132 1302 1 1 1 0 0 0 0 0 1 0 0 -1 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 -5 0 0 5 0 6 0 -6 3 -4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.146917642560 0.523751602393 7 11 4 1 0213 1302 0213 0132 1 1 1 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 5 0 -6 1 0 0 0 0 -4 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.557075160490 0.667429113967 2 7 11 10 0132 2103 3012 1230 1 1 1 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 0 1 0 0 0 0 0 3 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.632702867289 0.938480579943 5 6 2 9 0213 2103 0132 0213 1 1 1 0 0 0 -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 0 5 -5 0 0 0 0 -5 0 0 5 4 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.284896733850 0.752384646129 9 12 4 2 1230 0132 2031 0132 1 1 1 1 0 0 -1 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 0 6 -6 0 0 -1 1 0 0 0 0 5 0 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.373411578361 0.508151968312 3 8 12 7 0132 3012 1230 0213 1 1 1 1 0 1 0 -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 -5 0 5 5 0 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 0.146131173682 0.432248202321 6 3 12 12 3012 0132 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.590402622625 0.707322788765 4 6 3 5 0132 1230 0132 2031 1 1 0 1 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 0 0 0 0 0 -1 1 0 5 0 -5 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.410188586010 1.133528045409 10 8 10 9 2310 0132 0132 3012 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.044784926222 0.904755483019 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0101_12']), 'c_1001_10' : negation(d['c_0101_12']), 'c_1001_12' : d['c_1001_12'], 'c_1001_5' : d['c_0101_0'], 'c_1001_4' : d['c_0101_0'], 'c_1001_7' : d['c_0011_0'], 'c_1001_6' : negation(d['c_0011_11']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0011_0'], 'c_1001_3' : d['c_1001_12'], 'c_1001_2' : d['c_1001_12'], 'c_1001_9' : d['c_0011_12'], 'c_1001_8' : negation(d['c_0101_11']), 'c_1010_12' : negation(d['c_0101_11']), 'c_1010_11' : d['c_0011_5'], 'c_1010_10' : d['c_1001_12'], 's_3_11' : d['1'], 's_3_10' : 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_11'], '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' : negation(d['1']), 's_2_4' : negation(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' : negation(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' : negation(d['1']), 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(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' : d['c_0101_8'], 'c_1100_4' : d['c_0101_8'], 'c_1100_7' : negation(d['c_0101_8']), 'c_1100_6' : d['c_0101_12'], 'c_1100_1' : d['c_0101_8'], 'c_1100_0' : negation(d['c_1001_1']), 'c_1100_3' : negation(d['c_1001_1']), 'c_1100_2' : negation(d['c_0101_8']), 's_0_10' : d['1'], 'c_1100_11' : negation(d['c_1001_1']), 'c_1100_10' : negation(d['c_0011_12']), 's_0_11' : negation(d['1']), 'c_1010_7' : negation(d['c_0101_10']), 'c_1010_6' : d['c_0101_10'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_0101_8'], 'c_1010_3' : negation(d['c_0101_12']), 'c_1010_2' : d['c_0011_0'], 'c_1010_1' : d['c_0101_0'], 'c_1010_0' : d['c_1001_12'], 'c_1010_9' : negation(d['c_0101_8']), 'c_1010_8' : d['c_1001_12'], 'c_1100_8' : negation(d['c_0101_8']), 's_3_1' : negation(d['1']), 's_3_0' : negation(d['1']), 's_3_3' : negation(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' : negation(d['c_0011_12']), '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_10'], 'c_0011_8' : negation(d['c_0011_12']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_11']), 'c_0011_7' : negation(d['c_0011_11']), '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' : negation(d['c_0011_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_0'], 'c_0110_10' : d['c_0101_12'], 'c_0110_12' : negation(d['c_0101_10']), 'c_0101_12' : d['c_0101_12'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0011_5'], 'c_0101_6' : d['c_0011_5'], 'c_0101_5' : negation(d['c_0011_11']), 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0011_10'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_11'], 'c_0101_8' : d['c_0101_8'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_1'], 'c_0110_8' : d['c_0011_10'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_0101_10']), 'c_0110_3' : d['c_0101_11'], 'c_0110_2' : d['c_0011_5'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_11'], 'c_0110_7' : negation(d['c_0101_1']), 'c_0110_6' : d['c_0011_10']})} 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_5, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_12, c_0101_8, c_1001_1, c_1001_12 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 411492731706152137/1989936282601278*c_1001_12^7 + 1999852024730978819/3979872565202556*c_1001_12^6 - 1316288934792751/3890393514372*c_1001_12^5 - 2931666137218820561/1989936282601278*c_1001_12^4 + 8750639935609786865/3979872565202556*c_1001_12^3 + 119389330307406887/361806596836596*c_1001_12^2 - 319786128940930303/994968141300639*c_1001_12 - 30872995901224157/442208062800284, c_0011_0 - 1, c_0011_10 - 28487952539/3745565001*c_1001_12^7 - 67541148262/3745565001*c_1001_12^6 + 47582953024/3745565001*c_1001_12^5 + 192019835872/3745565001*c_1001_12^4 - 311370629002/3745565001*c_1001_12^3 - 1568424943/1248521667*c_1001_12^2 + 5607856123/1248521667*c_1001_12 - 2601977771/3745565001, c_0011_11 + 11078463333/416173889*c_1001_12^7 + 241529567281/3745565001*c_1001_12^6 - 149497375934/3745565001*c_1001_12^5 - 222663063184/1248521667*c_1001_12^4 + 1050990332671/3745565001*c_1001_12^3 + 40416185131/3745565001*c_1001_12^2 - 21542579224/3745565001*c_1001_12 + 10670656129/3745565001, c_0011_12 + 7822402928/1248521667*c_1001_12^7 + 18026036777/1248521667*c_1001_12^6 - 4604968854/416173889*c_1001_12^5 - 50670980278/1248521667*c_1001_12^4 + 88640769533/1248521667*c_1001_12^3 - 6741872384/1248521667*c_1001_12^2 - 713262628/1248521667*c_1001_12 + 36053834/416173889, c_0011_5 + 16797148/416173889*c_1001_12^7 + 86055728/416173889*c_1001_12^6 + 137137906/416173889*c_1001_12^5 + 31991883/416173889*c_1001_12^4 - 665422/416173889*c_1001_12^3 + 741211/416173889*c_1001_12^2 + 414309/416173889*c_1001_12 + 673403923/416173889, c_0101_0 + 30001234715/3745565001*c_1001_12^7 + 73103661838/3745565001*c_1001_12^6 - 42177512308/3745565001*c_1001_12^5 - 197632028440/3745565001*c_1001_12^4 + 309812588566/3745565001*c_1001_12^3 + 1629001003/1248521667*c_1001_12^2 + 4963083743/1248521667*c_1001_12 + 2581126139/3745565001, c_0101_1 - 1, c_0101_10 + 14738375041/3745565001*c_1001_12^7 + 10002850901/1248521667*c_1001_12^6 - 34874855266/3745565001*c_1001_12^5 - 87564742259/3745565001*c_1001_12^4 + 64171136788/1248521667*c_1001_12^3 - 60593953850/3745565001*c_1001_12^2 + 5745087845/3745565001*c_1001_12 + 2700956384/3745565001, c_0101_11 + 1915803278/1248521667*c_1001_12^7 + 11757879100/3745565001*c_1001_12^6 - 13294020875/3745565001*c_1001_12^5 - 11416924625/1248521667*c_1001_12^4 + 73353401140/3745565001*c_1001_12^3 - 23126692763/3745565001*c_1001_12^2 + 8250657815/3745565001*c_1001_12 - 1285757879/3745565001, c_0101_12 + 10778991556/1248521667*c_1001_12^7 + 76040698001/3745565001*c_1001_12^6 - 54401287336/3745565001*c_1001_12^5 - 71392351204/1248521667*c_1001_12^4 + 356404205666/3745565001*c_1001_12^3 - 9551100304/3745565001*c_1001_12^2 - 11727115136/3745565001*c_1001_12 + 1803388790/3745565001, c_0101_8 - 28866273083/3745565001*c_1001_12^7 - 68931776656/3745565001*c_1001_12^6 + 46231592845/3745565001*c_1001_12^5 + 193422884014/3745565001*c_1001_12^4 - 310981118893/3745565001*c_1001_12^3 - 1583568958/1248521667*c_1001_12^2 + 3589381990/1248521667*c_1001_12 - 2596764863/3745565001, c_1001_1 + 1840087874/1248521667*c_1001_12^7 + 11141752258/3745565001*c_1001_12^6 - 13411139900/3745565001*c_1001_12^5 - 10853266262/1248521667*c_1001_12^4 + 73736922451/3745565001*c_1001_12^3 - 23165453909/3745565001*c_1001_12^2 - 1546600804/3745565001*c_1001_12 + 4780090336/3745565001, c_1001_12^8 + 76/29*c_1001_12^7 - 30/29*c_1001_12^6 - 204/29*c_1001_12^5 + 268/29*c_1001_12^4 + 76/29*c_1001_12^3 - 8/29*c_1001_12^2 + 1/29*c_1001_12 + 1/29 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.530 Total time: 0.740 seconds, Total memory usage: 32.09MB