Magma V2.19-8 Wed Aug 21 2013 00:50:35 on localhost [Seed = 1814722894] Type ? for help. Type -D to quit. Loading file "L10a132__sl2_c4.magma" ==TRIANGULATION=BEGINS== % Triangulation L10a132 geometric_solution 11.57189681 oriented_manifold CS_known 0.0000000000000002 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 2 2 1 1 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 0 0 2 -1 0 -1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.514737002001 1.181472739436 0 5 2 6 0132 0132 1023 0132 2 2 1 1 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 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.314542893951 0.330933807896 7 0 1 5 0132 0132 1023 0132 2 2 1 1 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 -1 1 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.539787628942 1.347474803349 6 4 4 0 0132 2031 1230 0132 2 2 1 2 0 0 0 0 0 0 0 0 0 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.507469645913 0.307046511956 3 6 0 3 1302 2103 0132 3012 2 2 2 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 1 0 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 -0.101553679471 0.757609753776 8 1 2 7 0132 0132 0132 1023 2 2 1 1 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 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.829571067139 1.234173191967 3 4 1 9 0132 2103 0132 0132 2 2 2 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 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 0.514737002001 1.181472739436 2 10 9 5 0132 0132 0132 1023 2 2 1 1 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 1 -1 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.473140725586 0.426743784202 5 10 11 11 0132 1023 0213 0132 0 2 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 1 0 -1 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 0.599030637818 0.609863462903 11 12 6 7 0132 0132 0132 0132 2 2 1 2 0 0 0 0 0 0 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 1 -1 0 0 0 0 0 -2 2 0 0 2 -3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.198061275636 1.219726925806 8 7 12 12 1023 0132 2103 0132 2 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 1 -1 -1 0 0 1 0 1 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.180276015130 0.834547811876 9 8 8 12 0132 0213 0132 1023 0 2 2 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 0 1 -1 0 0 0 0 -2 0 0 2 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.752697448763 1.144832288739 10 9 10 11 2103 0132 0132 1023 2 0 2 1 0 0 0 0 -1 0 1 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 -1 1 0 0 0 -1 1 -1 3 0 -2 1 -2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.435145317915 0.399396609707 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_10'], 'c_1001_10' : d['c_0011_11'], 'c_1001_12' : d['c_1001_12'], 'c_1001_5' : d['c_0011_4'], 'c_1001_4' : negation(d['c_0011_3']), 'c_1001_7' : d['c_1001_12'], 'c_1001_6' : d['c_0011_4'], 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : d['c_0011_4'], 'c_1001_3' : negation(d['c_0110_4']), 'c_1001_2' : negation(d['c_0011_3']), 'c_1001_9' : d['c_0101_3'], 'c_1001_8' : d['c_0101_10'], 'c_1010_12' : d['c_0101_3'], 'c_1010_11' : d['c_0110_12'], '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' : negation(d['1']), 'c_0101_12' : d['c_0101_10'], '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' : d['1'], 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : negation(d['1']), 's_2_7' : d['1'], 's_2_12' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : negation(d['1']), 's_0_9' : negation(d['1']), 's_0_6' : d['1'], 's_0_7' : d['1'], 's_0_4' : d['1'], 's_0_5' : negation(d['1']), 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_0011_11' : d['c_0011_11'], 'c_1100_8' : d['c_0110_12'], 'c_0011_12' : d['c_0011_11'], 'c_1100_5' : negation(d['c_1100_1']), 'c_1100_4' : d['c_0110_4'], 'c_1100_7' : d['c_1100_1'], 'c_1100_6' : d['c_1100_1'], 'c_1100_1' : d['c_1100_1'], 'c_1100_0' : d['c_0110_4'], 'c_1100_3' : d['c_0110_4'], 'c_1100_2' : negation(d['c_1100_1']), 's_0_10' : d['1'], 'c_1100_9' : d['c_1100_1'], 'c_1100_11' : d['c_0110_12'], 'c_1100_10' : negation(d['c_0110_12']), 's_0_11' : negation(d['1']), 'c_1010_7' : d['c_0011_11'], 'c_1010_6' : d['c_0101_3'], 'c_1010_5' : d['c_0101_2'], 'c_1010_4' : negation(d['c_0101_3']), 'c_1010_3' : d['c_0011_4'], 'c_1010_2' : d['c_0011_4'], 'c_1010_1' : d['c_0011_4'], 'c_1010_0' : negation(d['c_0011_3']), 'c_1010_9' : d['c_1001_12'], 'c_1010_8' : d['c_0101_10'], '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' : d['1'], 's_3_6' : negation(d['1']), 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : negation(d['c_0110_12']), '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' : d['1'], 's_1_1' : negation(d['1']), 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_11']), 'c_0011_8' : negation(d['c_0011_0']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : negation(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_11' : d['c_0101_3'], 'c_0110_10' : d['c_0101_10'], 'c_0110_12' : d['c_0110_12'], 'c_0101_7' : d['c_0101_11'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_11'], 'c_0101_4' : negation(d['c_0011_3']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_3']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_3'], 'c_0101_8' : d['c_0011_11'], 'c_0011_10' : negation(d['c_0011_0']), 's_1_12' : d['1'], 's_1_11' : negation(d['1']), 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_11'], 'c_0110_8' : d['c_0101_11'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_3']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_11'], 'c_0110_5' : d['c_0011_11'], 'c_0110_4' : d['c_0110_4'], 'c_0110_7' : d['c_0101_2'], 'c_0110_6' : d['c_0101_3'], 's_2_9' : negation(d['1'])})} 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_11, c_0011_3, c_0011_4, c_0101_0, c_0101_10, c_0101_11, c_0101_2, c_0101_3, c_0110_12, c_0110_4, c_1001_12, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t - 80320426215007596095275/66226467295693882112*c_1100_1^6 + 1327434516542183352537477/264905869182775528448*c_1100_1^5 + 139909297691380274181319147/16953975627697633820672*c_1100_1^4 + 119800524361947847994469801/16953975627697633820672*c_1100_1^3 + 134084675010041689731890643/16953975627697633820672*c_1100_1^2 + 76083599765871947903058071/16953975627697633820672*c_1100_1 + 9893884746133440282142515/16953975627697633820672, c_0011_0 - 1, c_0011_11 - 33221269499648/11249168929591*c_1100_1^6 + 145431148288064/11249168929591*c_1100_1^5 + 188115453722991/11249168929591*c_1100_1^4 + 159320160007565/11249168929591*c_1100_1^3 + 178819025771355/11249168929591*c_1100_1^2 + 81836686906339/11249168929591*c_1100_1 + 12336568522533/11249168929591, c_0011_3 + 4126457598976/11249168929591*c_1100_1^6 - 20695508704512/11249168929591*c_1100_1^5 - 8343797007764/11249168929591*c_1100_1^4 - 21258695557770/11249168929591*c_1100_1^3 - 25089889854356/11249168929591*c_1100_1^2 - 9434565673187/11249168929591*c_1100_1 - 8754002220021/11249168929591, c_0011_4 + 12665599431936/11249168929591*c_1100_1^6 - 62599666113472/11249168929591*c_1100_1^5 - 35145237626005/11249168929591*c_1100_1^4 - 46897734062346/11249168929591*c_1100_1^3 - 44607717548364/11249168929591*c_1100_1^2 - 6037581836767/11249168929591*c_1100_1 - 4262040400223/11249168929591, c_0101_0 - 1, c_0101_10 - 1, c_0101_11 + 40114059410688/11249168929591*c_1100_1^6 - 176660188378560/11249168929591*c_1100_1^5 - 218471580847229/11249168929591*c_1100_1^4 - 206046133239886/11249168929591*c_1100_1^3 - 221842293429588/11249168929591*c_1100_1^2 - 114934488982504/11249168929591*c_1100_1 - 25261900002233/11249168929591, c_0101_2 + 3712744375296/11249168929591*c_1100_1^6 - 21937927690240/11249168929591*c_1100_1^5 + 7403338045564/11249168929591*c_1100_1^4 - 2985935402195/11249168929591*c_1100_1^3 - 2208297938924/11249168929591*c_1100_1^2 - 3154712561114/11249168929591*c_1100_1 + 986739738771/11249168929591, c_0101_3 - 9336388358400/11249168929591*c_1100_1^6 + 45900390573248/11249168929591*c_1100_1^5 + 28468730981137/11249168929591*c_1100_1^4 + 28321981229350/11249168929591*c_1100_1^3 + 28803673487925/11249168929591*c_1100_1^2 + 2382033514033/11249168929591*c_1100_1 + 16645859728/11249168929591, c_0110_12 + 6892789911040/11249168929591*c_1100_1^6 - 31229040090496/11249168929591*c_1100_1^5 - 30356127124238/11249168929591*c_1100_1^4 - 46725973232321/11249168929591*c_1100_1^3 - 43023267658233/11249168929591*c_1100_1^2 - 33097802076165/11249168929591*c_1100_1 - 12925331479700/11249168929591, c_0110_4 - 413713223680/11249168929591*c_1100_1^6 - 1242418985728/11249168929591*c_1100_1^5 + 15747135053328/11249168929591*c_1100_1^4 + 18272760155575/11249168929591*c_1100_1^3 + 22881591915432/11249168929591*c_1100_1^2 + 17529022041664/11249168929591*c_1100_1 + 9740741958792/11249168929591, c_1001_12 - 26328479588608/11249168929591*c_1100_1^6 + 114202108197568/11249168929591*c_1100_1^5 + 157759326598753/11249168929591*c_1100_1^4 + 112594186775244/11249168929591*c_1100_1^3 + 135795758113122/11249168929591*c_1100_1^2 + 48738884830174/11249168929591*c_1100_1 - 588762957167/11249168929591, c_1100_1^7 - 15/4*c_1100_1^6 - 2113/256*c_1100_1^5 - 2299/256*c_1100_1^4 - 2425/256*c_1100_1^3 - 1733/256*c_1100_1^2 - 665/256*c_1100_1 - 1/2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.240 seconds, Total memory usage: 32.09MB