Magma V2.19-8 Tue Aug 20 2013 23:47:37 on localhost [Seed = 1259151643] Type ? for help. Type -D to quit. Loading file "L11a200__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L11a200 geometric_solution 10.90778892 oriented_manifold CS_known -0.0000000000000006 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 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 0 0 0 1 0 -1 1 0 -1 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 1.070968459861 0.790977397030 0 5 7 6 0132 0132 0132 0132 1 0 1 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 -1 0 -3 4 0 0 0 0 0 5 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.580470054468 0.664447399116 5 0 5 8 2031 0132 0132 0132 1 1 1 1 0 0 -1 1 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 -1 -5 6 5 0 0 -5 -1 0 0 1 -6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.773978617144 0.743931664397 4 9 10 0 3120 0132 0132 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 0 0 0 0 0 -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 0.291722294583 0.559876052065 6 7 0 3 0132 0132 0132 3120 1 0 1 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 0 0 0 6 0 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.788778661239 0.729087982878 8 1 2 2 3012 0132 1302 0132 1 1 1 1 0 0 -1 1 -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 0 -5 5 -6 0 6 0 5 -5 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.429451239698 0.233690262578 4 8 1 11 0132 1023 0132 0132 1 0 1 1 0 0 0 0 0 0 1 -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 0 -4 4 -6 0 0 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.254312260749 0.853567337512 11 4 10 1 0132 0132 3120 0132 1 0 1 1 0 0 0 0 1 0 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 -3 0 0 3 -5 0 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.316329559208 0.631933807447 6 11 2 5 1023 0132 0132 1230 1 1 1 1 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 0 0 0 0 0 0 0 -6 6 0 0 5 -5 0 -1 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.096102246013 1.170740900427 10 3 9 9 1230 0132 2031 1302 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 0.066672567450 1.444114263813 11 9 7 3 3120 3012 3120 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 0 0 0 -1 0 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 0.868926056725 0.686864610385 7 8 6 10 0132 0132 0132 3120 1 0 1 1 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 3 0 -4 1 0 -1 0 1 5 1 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.112526576492 1.254162465196 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_0'], 'c_1001_10' : d['c_0011_3'], 'c_1001_5' : d['c_0101_8'], 'c_1001_4' : d['c_1001_1'], 'c_1001_7' : negation(d['c_0011_3']), 'c_1001_6' : d['c_0101_8'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : negation(d['c_0011_10']), 'c_1001_3' : negation(d['c_0101_9']), 'c_1001_2' : d['c_1001_1'], 'c_1001_9' : negation(d['c_0011_10']), 'c_1001_8' : negation(d['c_0011_10']), 'c_1010_11' : negation(d['c_0011_10']), 'c_1010_10' : negation(d['c_0101_9']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_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' : negation(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' : d['1'], 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : d['c_0101_9'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_0101_2'], 'c_1100_4' : negation(d['c_0101_3']), 'c_1100_7' : negation(d['c_0101_10']), 'c_1100_6' : negation(d['c_0101_10']), 'c_1100_1' : negation(d['c_0101_10']), 'c_1100_0' : negation(d['c_0101_3']), 'c_1100_3' : negation(d['c_0101_3']), 'c_1100_2' : d['c_0101_2'], 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0101_10']), 'c_1100_10' : negation(d['c_0101_3']), 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_1'], 'c_1010_6' : d['c_0011_0'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : negation(d['c_0011_3']), 'c_1010_3' : negation(d['c_0011_10']), 'c_1010_2' : negation(d['c_0011_10']), 'c_1010_1' : d['c_0101_8'], 'c_1010_0' : d['c_1001_1'], 'c_1010_9' : negation(d['c_0101_9']), 'c_1010_8' : d['c_0011_0'], 'c_1100_8' : d['c_0101_2'], 's_3_1' : 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' : negation(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' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : negation(d['1']), 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_3']), 'c_0011_8' : negation(d['c_0011_11']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_11'], 'c_0011_7' : negation(d['c_0011_11']), 'c_0011_6' : negation(d['c_0011_11']), '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_3'], 'c_0110_10' : d['c_0101_3'], 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : d['c_0101_3'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0011_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_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_0101_9'], 'c_0101_8' : d['c_0101_8'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_10'], 'c_0110_8' : d['c_0011_0'], '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_0101_8'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0101_0'], '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 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_3, c_0101_0, c_0101_1, c_0101_10, c_0101_2, c_0101_3, c_0101_8, c_0101_9, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 15 Groebner basis: [ t - 20869698077/265181063*c_1001_1^14 - 59089088286/265181063*c_1001_1^13 - 30996972089/265181063*c_1001_1^12 + 92254062084/265181063*c_1001_1^11 + 74240249102/265181063*c_1001_1^10 - 217516706622/265181063*c_1001_1^9 - 424122098597/265181063*c_1001_1^8 - 91065827558/265181063*c_1001_1^7 + 29794130765/37883009*c_1001_1^6 + 214857712364/265181063*c_1001_1^5 + 62114287696/265181063*c_1001_1^4 + 25417127194/37883009*c_1001_1^3 + 233557660779/265181063*c_1001_1^2 + 90945704572/265181063*c_1001_1 + 18411654243/265181063, c_0011_0 - 1, c_0011_10 - 192625/5281583*c_1001_1^14 + 131906/5281583*c_1001_1^13 + 921317/5281583*c_1001_1^12 + 578074/5281583*c_1001_1^11 - 2127993/5281583*c_1001_1^10 - 1724325/5281583*c_1001_1^9 + 3187803/5281583*c_1001_1^8 + 5988574/5281583*c_1001_1^7 - 3803987/5281583*c_1001_1^6 - 645966/5281583*c_1001_1^5 + 220374/5281583*c_1001_1^4 + 4161267/5281583*c_1001_1^3 - 8810084/5281583*c_1001_1^2 - 817325/5281583*c_1001_1 + 3986829/5281583, c_0011_11 - c_1001_1, c_0011_3 + 6159770/5281583*c_1001_1^14 + 8556138/5281583*c_1001_1^13 - 11431047/5281583*c_1001_1^12 - 29372795/5281583*c_1001_1^11 + 19221445/5281583*c_1001_1^10 + 73734037/5281583*c_1001_1^9 + 25491984/5281583*c_1001_1^8 - 101501807/5281583*c_1001_1^7 - 29017270/5281583*c_1001_1^6 + 12495053/5281583*c_1001_1^5 + 30984656/5281583*c_1001_1^4 - 55405422/5281583*c_1001_1^3 + 6378535/5281583*c_1001_1^2 + 32429110/5281583*c_1001_1 + 8839943/5281583, c_0101_0 - 1, c_0101_1 + 1053839/5281583*c_1001_1^14 + 2968892/5281583*c_1001_1^13 + 2046959/5281583*c_1001_1^12 - 3354758/5281583*c_1001_1^11 - 2776684/5281583*c_1001_1^10 + 9849069/5281583*c_1001_1^9 + 20770812/5281583*c_1001_1^8 + 9204869/5281583*c_1001_1^7 - 1667981/5281583*c_1001_1^6 - 7579646/5281583*c_1001_1^5 - 848739/5281583*c_1001_1^4 - 5897560/5281583*c_1001_1^3 - 5951649/5281583*c_1001_1^2 - 8438699/5281583*c_1001_1 - 5040668/5281583, c_0101_10 + 1, c_0101_2 + 207452/5281583*c_1001_1^14 - 1442021/5281583*c_1001_1^13 - 3483304/5281583*c_1001_1^12 + 564151/5281583*c_1001_1^11 + 8828013/5281583*c_1001_1^10 + 652673/5281583*c_1001_1^9 - 19863817/5281583*c_1001_1^8 - 20185599/5281583*c_1001_1^7 + 18625348/5281583*c_1001_1^6 + 15468245/5281583*c_1001_1^5 + 2521178/5281583*c_1001_1^4 - 15416322/5281583*c_1001_1^3 + 12916395/5281583*c_1001_1^2 + 10962200/5281583*c_1001_1 - 4547307/5281583, c_0101_3 - 40557/5281583*c_1001_1^14 + 505576/5281583*c_1001_1^13 + 1885926/5281583*c_1001_1^12 + 1671681/5281583*c_1001_1^11 - 2540198/5281583*c_1001_1^10 - 3727365/5281583*c_1001_1^9 + 5916798/5281583*c_1001_1^8 + 16424385/5281583*c_1001_1^7 + 6735129/5281583*c_1001_1^6 - 6968436/5281583*c_1001_1^5 - 7347707/5281583*c_1001_1^4 + 4719114/5281583*c_1001_1^3 + 1058615/5281583*c_1001_1^2 - 2655562/5281583*c_1001_1 - 4493324/5281583, c_0101_8 + 2049550/5281583*c_1001_1^14 + 3143946/5281583*c_1001_1^13 - 2730180/5281583*c_1001_1^12 - 9406087/5281583*c_1001_1^11 + 4379648/5281583*c_1001_1^10 + 24077566/5281583*c_1001_1^9 + 14093468/5281583*c_1001_1^8 - 27933154/5281583*c_1001_1^7 - 12079162/5281583*c_1001_1^6 - 423048/5281583*c_1001_1^5 + 14158688/5281583*c_1001_1^4 - 17907470/5281583*c_1001_1^3 - 907404/5281583*c_1001_1^2 + 6194440/5281583*c_1001_1 - 3779377/5281583, c_0101_9 + 4363092/5281583*c_1001_1^14 + 5256962/5281583*c_1001_1^13 - 9204907/5281583*c_1001_1^12 - 19843626/5281583*c_1001_1^11 + 17194955/5281583*c_1001_1^10 + 51017340/5281583*c_1001_1^9 + 8721083/5281583*c_1001_1^8 - 78961430/5281583*c_1001_1^7 - 9288359/5281583*c_1001_1^6 + 16012570/5281583*c_1001_1^5 + 24200029/5281583*c_1001_1^4 - 50517323/5281583*c_1001_1^3 + 12205696/5281583*c_1001_1^2 + 22525071/5281583*c_1001_1 + 3305893/5281583, c_1001_1^15 + 2*c_1001_1^14 - c_1001_1^13 - 6*c_1001_1^12 + 14*c_1001_1^10 + 12*c_1001_1^9 - 14*c_1001_1^8 - 16*c_1001_1^7 - 2*c_1001_1^6 + 7*c_1001_1^5 - 5*c_1001_1^4 - 4*c_1001_1^3 + 6*c_1001_1^2 + 4*c_1001_1 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.040 Total time: 0.240 seconds, Total memory usage: 32.09MB