Magma V2.19-8 Wed Aug 21 2013 00:52:40 on localhost [Seed = 3103698184] Type ? for help. Type -D to quit. Loading file "L12n1034__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n1034 geometric_solution 11.35096701 oriented_manifold CS_known -0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 0 1 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 1 0 -1 0 0 -1 1 0 0 0 0 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.606156794841 0.425561204423 0 5 7 6 0132 0132 0132 0132 0 1 1 1 0 -1 0 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 2 0 -2 0 0 0 0 4 0 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.512904780330 0.665637446454 8 0 9 3 0132 0132 0132 3012 0 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 1 0 0 0 0 0 0 -4 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.071335831847 1.605185407368 10 10 2 0 0132 2310 1230 0132 0 1 1 0 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 0 0 0 3 0 -4 1 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.939905730185 0.684098741780 7 9 0 8 0132 1023 0132 1023 0 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 -1 0 0 -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 1.376071603569 0.637432352315 11 1 10 9 0132 0132 0213 0132 0 0 1 1 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 -2 0 2 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 -0.071335831847 1.605185407368 12 7 1 8 0132 0213 0132 1302 0 1 1 1 0 1 -1 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 -3 2 1 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 0.684014043297 0.455392695625 4 12 6 1 0132 0132 0213 0132 0 1 1 1 0 1 -1 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 -3 3 0 0 0 0 0 0 0 0 0 -1 -3 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.626293560097 0.502069624280 2 11 6 4 0132 0132 2031 1023 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 1 0 -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 0.363693598273 0.233485756007 4 11 5 2 1023 1230 0132 0132 0 0 1 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 3 -2 -1 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 0.605053703028 0.930541992130 3 5 12 3 0132 0213 0132 3201 0 1 0 1 0 0 0 0 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 0 0 0 -3 0 0 3 0 0 0 0 -3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.127425705574 1.450583643358 5 8 9 12 0132 0132 3012 3012 1 0 1 1 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 -1 1 0 0 0 -3 3 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.830991603639 1.176067811916 6 7 11 10 0132 0132 1230 0132 0 1 1 1 0 -1 1 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 3 -3 0 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 0 0 0.553845901890 0.770466101697 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0011_12']), 'c_1001_10' : d['c_1001_10'], 'c_1001_12' : d['c_1001_1'], 'c_1001_5' : d['c_1001_10'], 'c_1001_4' : d['c_0101_11'], 'c_1001_7' : d['c_1001_10'], 'c_1001_6' : d['c_1001_10'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : negation(d['c_0101_3']), 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : d['c_0101_11'], 'c_1001_9' : d['c_1001_1'], 'c_1001_8' : negation(d['c_0101_12']), 'c_1010_12' : d['c_1001_10'], 'c_1010_11' : negation(d['c_0101_12']), 'c_1010_10' : negation(d['c_1001_3']), 's_3_11' : d['1'], 's_3_10' : negation(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_0'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : negation(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_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' : d['1'], 's_0_5' : negation(d['1']), 's_0_2' : d['1'], 's_0_3' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : negation(d['c_1001_3']), 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_1001_3']), 'c_1100_4' : d['c_0101_8'], 'c_1100_7' : d['c_0101_8'], 'c_1100_6' : d['c_0101_8'], 'c_1100_1' : d['c_0101_8'], 'c_1100_0' : d['c_0101_8'], 'c_1100_3' : d['c_0101_8'], 'c_1100_2' : negation(d['c_1001_3']), 's_0_10' : negation(d['1']), 'c_1100_11' : negation(d['c_1001_1']), 'c_1100_10' : d['c_0011_10'], 's_0_11' : negation(d['1']), 'c_1010_7' : d['c_1001_1'], 'c_1010_6' : d['c_0101_8'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_0101_2'], 'c_1010_3' : negation(d['c_0101_3']), 'c_1010_2' : negation(d['c_0101_3']), 'c_1010_1' : d['c_1001_10'], 'c_1010_0' : d['c_0101_11'], 'c_1010_9' : d['c_0101_11'], 'c_1010_8' : negation(d['c_0011_12']), 'c_1100_8' : negation(d['c_0101_8']), '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' : negation(d['1']), 's_3_8' : d['1'], 'c_1100_12' : d['c_0011_10'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : negation(d['1']), 's_1_2' : negation(d['1']), 's_1_1' : negation(d['1']), 's_1_0' : negation(d['1']), 's_1_9' : negation(d['1']), 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_12'], 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_12'], 'c_0011_7' : negation(d['c_0011_12']), 'c_0011_6' : negation(d['c_0011_12']), '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_0011_10'], 'c_0110_10' : d['c_0101_3'], 'c_0110_12' : d['c_0101_0'], 'c_0101_12' : d['c_0101_12'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : negation(d['c_0011_12']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0011_10'], '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_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_2'], 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : negation(d['c_0011_0']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_8'], 'c_0110_5' : d['c_0101_11'], 'c_0110_4' : negation(d['c_0011_12']), 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0101_12']})} 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_12, c_0101_0, c_0101_1, c_0101_11, c_0101_12, c_0101_2, c_0101_3, c_0101_8, c_1001_1, c_1001_10, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t + 1470811574229699/10126158619279360*c_1001_3^8 - 1362802000429203/5063079309639680*c_1001_3^7 + 11593759005188211/1446594088468480*c_1001_3^6 - 58230748566596209/5063079309639680*c_1001_3^5 + 1057348995816255171/10126158619279360*c_1001_3^4 - 474392617093306011/5063079309639680*c_1001_3^3 - 222050146572055869/1265769827409920*c_1001_3^2 + 11717570774609979/316442456852480*c_1001_3 + 18590251243420131/632884913704960, c_0011_0 - 1, c_0011_10 + 1, c_0011_12 + 802521683/504531978400*c_1001_3^8 - 388490149/63066497300*c_1001_3^7 + 48162231289/504531978400*c_1001_3^6 - 9639137581/31533248650*c_1001_3^5 + 753074388527/504531978400*c_1001_3^4 - 219258534483/63066497300*c_1001_3^3 + 176653836499/126132994600*c_1001_3^2 + 80277811821/31533248650*c_1001_3 - 36476195524/15766624325, c_0101_0 + 1340148937/252265989200*c_1001_3^8 - 3173131813/252265989200*c_1001_3^7 + 75476898271/252265989200*c_1001_3^6 - 144353558619/252265989200*c_1001_3^5 + 1031393142753/252265989200*c_1001_3^4 - 1363782281221/252265989200*c_1001_3^3 - 125780370207/31533248650*c_1001_3^2 + 152185247813/31533248650*c_1001_3 - 6334612547/15766624325, c_0101_1 - 1678208531/504531978400*c_1001_3^8 + 1573982061/126132994600*c_1001_3^7 - 100326616773/504531978400*c_1001_3^6 + 77868651743/126132994600*c_1001_3^5 - 1558448263939/504531978400*c_1001_3^4 + 874338716787/126132994600*c_1001_3^3 - 168930836759/63066497300*c_1001_3^2 - 395233022919/63066497300*c_1001_3 + 72114270168/15766624325, c_0101_11 - 15676217/50453197840*c_1001_3^8 + 36629239/25226598920*c_1001_3^7 - 887471891/50453197840*c_1001_3^6 + 1794459197/25226598920*c_1001_3^5 - 11453929413/50453197840*c_1001_3^4 + 18971293623/25226598920*c_1001_3^3 + 8968600209/12613299460*c_1001_3^2 - 4329949119/3153324865*c_1001_3 - 840716153/3153324865, c_0101_12 - 3482819557/504531978400*c_1001_3^8 + 4727092409/252265989200*c_1001_3^7 - 199116027831/504531978400*c_1001_3^6 + 221466659267/252265989200*c_1001_3^5 - 2815860674033/504531978400*c_1001_3^4 + 2240816419153/252265989200*c_1001_3^3 + 326467644329/126132994600*c_1001_3^2 - 116231529817/15766624325*c_1001_3 + 42810808071/15766624325, c_0101_2 - 38020978/15766624325*c_1001_3^8 + 825699001/126132994600*c_1001_3^7 - 4366569223/31533248650*c_1001_3^6 + 39039722563/126132994600*c_1001_3^5 - 62093272389/31533248650*c_1001_3^4 + 397617436917/126132994600*c_1001_3^3 + 28368272903/31533248650*c_1001_3^2 - 101079856027/31533248650*c_1001_3 + 15284231213/15766624325, c_0101_3 + 1, c_0101_8 - 492833939/252265989200*c_1001_3^8 + 110544171/15766624325*c_1001_3^7 - 29100750037/252265989200*c_1001_3^6 + 10823517771/31533248650*c_1001_3^5 - 439079514691/252265989200*c_1001_3^4 + 59733442632/15766624325*c_1001_3^3 - 24714411871/31533248650*c_1001_3^2 - 50559527468/15766624325*c_1001_3 + 27118141659/15766624325, c_1001_1 + 38020978/15766624325*c_1001_3^8 - 825699001/126132994600*c_1001_3^7 + 4366569223/31533248650*c_1001_3^6 - 39039722563/126132994600*c_1001_3^5 + 62093272389/31533248650*c_1001_3^4 - 397617436917/126132994600*c_1001_3^3 - 28368272903/31533248650*c_1001_3^2 + 101079856027/31533248650*c_1001_3 - 15284231213/15766624325, c_1001_10 + 492833939/252265989200*c_1001_3^8 - 110544171/15766624325*c_1001_3^7 + 29100750037/252265989200*c_1001_3^6 - 10823517771/31533248650*c_1001_3^5 + 439079514691/252265989200*c_1001_3^4 - 59733442632/15766624325*c_1001_3^3 + 24714411871/31533248650*c_1001_3^2 + 50559527468/15766624325*c_1001_3 - 27118141659/15766624325, c_1001_3^9 - 2*c_1001_3^8 + 55*c_1001_3^7 - 86*c_1001_3^6 + 705*c_1001_3^5 - 690*c_1001_3^4 - 1464*c_1001_3^3 + 1056*c_1001_3^2 + 528*c_1001_3 - 512 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.410 Total time: 0.620 seconds, Total memory usage: 32.09MB