Magma V2.19-8 Wed Aug 21 2013 00:12:07 on localhost [Seed = 1814691913] Type ? for help. Type -D to quit. Loading file "K13n3144__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K13n3144 geometric_solution 12.35255112 oriented_manifold CS_known 0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 13 1 2 1 3 0132 0132 1230 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 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 0.342535746343 1.008706430198 0 4 5 0 0132 0132 0132 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.265618293760 0.666999637274 6 0 8 7 0132 0132 0132 0132 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 -1 0 1 0 0 -7 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.581218016828 0.560755971235 9 9 0 4 0132 1230 0132 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.613403816155 0.625754079610 7 1 3 10 0132 0132 1230 0132 0 0 0 0 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 0 0 -7 0 -1 8 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.552175812672 0.654100257762 8 11 6 1 2031 0132 2031 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 0 0 0 0 0 0 0 -1 1 0 0 0 8 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.604824541448 0.738202008605 2 7 10 5 0132 0132 2103 1302 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 -8 8 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.994020269900 1.251945452198 4 6 2 10 0132 0132 0132 2103 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 -1 1 7 0 -7 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 0.303898906472 1.143416942194 12 9 5 2 0132 1302 1302 0132 0 0 0 0 0 0 0 0 -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 0 0 0 -7 0 0 7 0 0 0 0 -8 7 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.810374126697 0.470337041980 3 12 3 8 0132 2310 3012 2031 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 0 0 0 0 0 0 0 7 0 -7 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.201122786290 0.814961795836 6 11 4 7 2103 0213 0132 2103 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 8 0 -8 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 0.720298651352 0.388663773294 12 5 10 12 1023 0132 0213 3012 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 0 -1 0 8 -8 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.628454051800 0.627171262855 8 11 11 9 0132 1023 1230 3201 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 0 0 0 -1 0 1 7 0 0 -7 8 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.628454051800 0.627171262855 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_1'], 'c_1001_10' : d['c_1001_1'], 'c_1001_12' : d['c_0011_10'], 'c_1001_5' : negation(d['c_0101_12']), 'c_1001_4' : negation(d['c_0101_0']), 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : d['c_0011_10'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_2'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : negation(d['c_0011_3']), 'c_1001_8' : d['c_0101_1'], 'c_1010_12' : d['c_0011_3'], 'c_1010_11' : negation(d['c_0101_12']), 'c_1010_10' : negation(d['c_0011_10']), 's_3_11' : d['1'], 's_0_11' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 'c_0101_12' : d['c_0101_12'], 'c_0101_11' : d['c_0011_10'], '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' : 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' : 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' : negation(d['c_1001_2']), 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_11'], 'c_1100_5' : negation(d['c_1001_0']), 'c_1100_4' : negation(d['c_0101_4']), 'c_1100_7' : d['c_0101_5'], 'c_1100_6' : d['c_0101_5'], 'c_1100_1' : negation(d['c_1001_0']), 'c_1100_0' : d['c_0101_0'], 'c_1100_3' : d['c_0101_0'], 'c_1100_2' : d['c_0101_5'], 's_0_10' : d['1'], 'c_1100_11' : negation(d['c_0011_10']), 'c_1100_10' : negation(d['c_0101_4']), 's_3_10' : d['1'], 'c_1010_7' : d['c_0011_10'], 'c_1010_6' : d['c_1001_0'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_1001_1'], 'c_1010_3' : negation(d['c_0101_4']), 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0101_0']), 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : negation(d['c_0011_11']), 'c_1010_8' : d['c_1001_2'], 'c_1100_8' : d['c_0101_5'], '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'], 'c_1100_12' : d['c_0011_3'], '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_3']), 'c_0011_8' : negation(d['c_0011_11']), 'c_0011_5' : negation(d['c_0011_11']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_0']), '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' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0011_3'], 'c_0110_10' : negation(d['c_0101_5']), 'c_0110_12' : d['c_0011_11'], 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : d['c_0101_10'], 'c_0101_6' : d['c_0101_10'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_12'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0101_4']), 'c_0101_8' : d['c_0011_11'], '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_0101_12'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0101_4']), 'c_0110_2' : d['c_0101_10'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0101_4'], 'c_0110_6' : d['c_0101_12'], 's_2_9' : 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_10, c_0011_11, c_0011_3, c_0101_0, c_0101_1, c_0101_10, c_0101_12, c_0101_4, c_0101_5, c_1001_0, c_1001_1, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 60637018525143962993338952/25722085261937156785*c_1001_2^11 + 160698521928195372301423603/25722085261937156785*c_1001_2^10 - 221416073591397082796939834/25722085261937156785*c_1001_2^9 + 524500428900522356202444577/25722085261937156785*c_1001_2^8 - 12033539737017256086607298/254674111504328285*c_1001_2^7 + 1414938340940540691763253586/25722085261937156785*c_1001_2^6 - 619799314299947141047172784/25722085261937156785*c_1001_2^5 - 4978851187527638667898252/25722085261937156785*c_1001_2^4 - 315128773228181061972650753/25722085261937156785*c_1001_2^3 + 666142432596780796693084128/25722085261937156785*c_1001_2^2 - 60396683643039292606580918/3674583608848165255*c_1001_2 + 18283687659996977777583221/5144417052387431357, c_0011_0 - 1, c_0011_10 - 1217297423744179638/60239075554887955*c_1001_2^11 + 3494766954305449058/84334705776843137*c_1001_2^10 - 3281990884773711978/60239075554887955*c_1001_2^9 + 63876214868998757073/421673528884215685*c_1001_2^8 - 271892737041470393/834997086899437*c_1001_2^7 + 132166373629900215082/421673528884215685*c_1001_2^6 - 7926727043955690414/84334705776843137*c_1001_2^5 - 39542799790763064/421673528884215685*c_1001_2^4 - 45275173068129567858/421673528884215685*c_1001_2^3 + 1071373461886299918/6912680801380585*c_1001_2^2 - 33099932726785951627/421673528884215685*c_1001_2 + 100051673053755653/6912680801380585, c_0011_11 - 10941553596195038301/421673528884215685*c_1001_2^11 + 5108108039475692928/84334705776843137*c_1001_2^10 - 32496468045305486251/421673528884215685*c_1001_2^9 + 87019500391048388348/421673528884215685*c_1001_2^8 - 384962781895543795/834997086899437*c_1001_2^7 + 199653877078956672797/421673528884215685*c_1001_2^6 - 13286744063113704938/84334705776843137*c_1001_2^5 - 2240065616322580229/421673528884215685*c_1001_2^4 - 60529118903225246188/421673528884215685*c_1001_2^3 + 1588606519978552443/6912680801380585*c_1001_2^2 - 7446750016695620531/60239075554887955*c_1001_2 + 160828107242668053/6912680801380585, c_0011_3 - 280782608868308588/6912680801380585*c_1001_2^11 + 17855457761136104/197505165753731*c_1001_2^10 - 818408890121483783/6912680801380585*c_1001_2^9 + 2189066088459923459/6912680801380585*c_1001_2^8 - 9547828671202421/13688476834417*c_1001_2^7 + 4907524905477207256/6912680801380585*c_1001_2^6 - 326174986689106809/1382536160276117*c_1001_2^5 - 53789077060965192/6912680801380585*c_1001_2^4 - 1515059225703301514/6912680801380585*c_1001_2^3 + 2406855091200992819/6912680801380585*c_1001_2^2 - 1282446642671050251/6912680801380585*c_1001_2 + 34309386281819692/987525828768655, c_0101_0 + 3032798661705367494/84334705776843137*c_1001_2^11 - 6345949961339594756/84334705776843137*c_1001_2^10 + 8217859540472194901/84334705776843137*c_1001_2^9 - 22891997768399590634/84334705776843137*c_1001_2^8 + 490342455837292019/834997086899437*c_1001_2^7 - 47802323757104829013/84334705776843137*c_1001_2^6 + 2026235153032132056/12047815110977591*c_1001_2^5 + 181410077812639128/84334705776843137*c_1001_2^4 + 16347991944799068256/84334705776843137*c_1001_2^3 - 386405921159848092/1382536160276117*c_1001_2^2 + 12017360025776543755/84334705776843137*c_1001_2 - 35653615654535796/1382536160276117, c_0101_1 - 17411707760421/6222034924735*c_1001_2^11 + 7730604681661/1244406984947*c_1001_2^10 - 42723579807231/6222034924735*c_1001_2^9 + 18673073684319/888862132105*c_1001_2^8 - 57570029139737/1244406984947*c_1001_2^7 + 36986474876581/888862132105*c_1001_2^6 - 8374302417444/1244406984947*c_1001_2^5 - 22721747570064/6222034924735*c_1001_2^4 - 14292690643739/888862132105*c_1001_2^3 + 140214449224093/6222034924735*c_1001_2^2 - 56011939736422/6222034924735*c_1001_2 + 1001948714878/6222034924735, c_0101_10 + 185308856686/2515307333*c_1001_2^11 - 376624890321/2515307333*c_1001_2^10 + 490544600393/2515307333*c_1001_2^9 - 1378704803152/2515307333*c_1001_2^8 + 29261393488/24904033*c_1001_2^7 - 2812207890757/2515307333*c_1001_2\ ^6 + 788595684299/2515307333*c_1001_2^5 + 28487620580/2515307333*c_1001_2^4 + 996082473875/2515307333*c_1001_2^3 - 1406436988332/2515307333*c_1001_2^2 + 683212255494/2515307333*c_1001_2 - 116086703737/2515307333, c_0101_12 - 1867573188038265298/421673528884215685*c_1001_2^11 + 1503024754273854090/84334705776843137*c_1001_2^10 - 9814797889033104903/421673528884215685*c_1001_2^9 + 20046176937518929049/421673528884215685*c_1001_2^8 - 15061055784654972/119285298128491*c_1001_2^7 + 70438191195457256986/421673528884215685*c_1001_2^6 - 6657522830262832408/84334705776843137*c_1001_2^5 - 356193202917548411/60239075554887955*c_1001_2^4 - 11816565097366418119/421673528884215685*c_1001_2^3 + 526844983953064869/6912680801380585*c_1001_2^2 - 21419599252358281556/421673528884215685*c_1001_2 + 78046766135146399/6912680801380585, c_0101_4 + 32933295657462245568/421673528884215685*c_1001_2^11 - 14130725909016741159/84334705776843137*c_1001_2^10 + 92051139352763782288/421673528884215685*c_1001_2^9 - 251176310423565491689/421673528884215685*c_1001_2^8 + 1086520626319013236/834997086899437*c_1001_2^7 - 541885003954199016351/421673528884215685*c_1001_2^6 + 33098023416297756519/84334705776843137*c_1001_2^5 + 7269101030496646977/421673528884215685*c_1001_2^4 + 178802764480656979994/421673528884215685*c_1001_2^3 - 4392078404951542209/6912680801380585*c_1001_2^2 + 19422187689066410198/60239075554887955*c_1001_2 - 397081469246837964/6912680801380585, c_0101_5 + 21879171895838127627/421673528884215685*c_1001_2^11 - 9172506143421056369/84334705776843137*c_1001_2^10 + 59611135118992747672/421673528884215685*c_1001_2^9 - 165309112089264616796/421673528884215685*c_1001_2^8 + 707828281151870157/834997086899437*c_1001_2^7 - 347442320651039433509/421673528884215685*c_1001_2^6 + 20578751433960594564/84334705776843137*c_1001_2^5 + 3610045660684183498/421673528884215685*c_1001_2^4 + 117700297049128119806/421673528884215685*c_1001_2^3 - 403546206153871938/987525828768655*c_1001_2^2 + 86524275142270612859/421673528884215685*c_1001_2 - 251007355394363566/6912680801380585, c_1001_0 - 1217297423744179638/60239075554887955*c_1001_2^11 + 3494766954305449058/84334705776843137*c_1001_2^10 - 3281990884773711978/60239075554887955*c_1001_2^9 + 63876214868998757073/421673528884215685*c_1001_2^8 - 271892737041470393/834997086899437*c_1001_2^7 + 132166373629900215082/421673528884215685*c_1001_2^6 - 7926727043955690414/84334705776843137*c_1001_2^5 - 39542799790763064/421673528884215685*c_1001_2^4 - 45275173068129567858/421673528884215685*c_1001_2^3 + 1071373461886299918/6912680801380585*c_1001_2^2 - 33521606255670167312/421673528884215685*c_1001_2 + 100051673053755653/6912680801380585, c_1001_1 + 35871819300869/6222034924735*c_1001_2^11 - 11124231281340/1244406984947*c_1001_2^10 + 67378504778259/6222034924735*c_1001_2^9 - 241837208843462/6222034924735*c_1001_2^8 + 91036769906315/1244406984947*c_1001_2^7 - 330088691739468/6222034924735*c_1001_2^6 + 5493532714312/1244406984947*c_1001_2^5 - 16537964518344/6222034924735*c_1001_2^4 + 180722833512757/6222034924735*c_1001_2^3 - 181012954196712/6222034924735*c_1001_2^2 + 61124330337438/6222034924735*c_1001_2 - 4108853185057/6222034924735, c_1001_2^12 - 312/109*c_1001_2^11 + 474/109*c_1001_2^10 - 1054/109*c_1001_2^9 + 2416/109*c_1001_2^8 - 3108/109*c_1001_2^7 + 1864/109*c_1001_2^6 - 394/109*c_1001_2^5 + 574/109*c_1001_2^4 - 12*c_1001_2^3 + 1099/109*c_1001_2^2 - 416/109*c_1001_2 + 61/109 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 5.350 Total time: 5.549 seconds, Total memory usage: 84.00MB