Magma V2.19-8 Tue Aug 20 2013 17:58:08 on localhost [Seed = 863143776] Type ? for help. Type -D to quit. Loading file "10^2_122__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation 10^2_122 geometric_solution 11.39239158 oriented_manifold CS_known 0.0000000000000000 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 1 0132 0132 0132 2031 0 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 0 0 0 0 0 0 -1 1 3 0 -2 -1 0 1 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.781436586254 1.198824338820 0 0 5 4 0132 1302 0132 0132 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 0 0 0 0 0 1 -1 0 -3 0 2 1 1 -1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.618406174967 0.585414060513 6 0 6 4 0132 0132 3012 3120 0 1 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 -2 0 2 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 0.556458070326 1.031558781855 6 7 8 0 2031 0132 0132 0132 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 0 0 0 0 0 -1 1 -2 0 0 2 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.300302056356 1.189090739299 2 7 1 5 3120 1230 0132 0321 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 -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 0.536558758854 0.447044188226 7 4 9 1 0132 0321 0132 0132 1 1 0 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 0 -1 1 0 0 2 -2 -1 0 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.801783544503 1.669766691745 2 2 3 10 0132 1230 1302 0132 1 1 0 0 0 -1 1 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 -2 2 0 2 0 0 -2 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.351782055663 0.818150088053 5 3 4 8 0132 0132 3012 0132 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 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 0.214072927319 0.292010263951 10 11 7 3 3012 0132 0132 0132 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 -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 0.490690179489 0.669630593686 10 11 12 5 1023 2310 0132 0132 1 1 1 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 2 -2 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.380550756059 0.576427240172 12 9 6 8 0132 1023 0132 1230 1 1 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 0 0 0 0 0 0 0 0 -2 0 2 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 -0.587233949022 1.225448599080 12 8 12 9 2103 0132 2310 3201 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 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 -0.853138770553 1.063100969536 10 11 11 9 0132 3201 2103 0132 1 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 0 0 0 0 -1 0 1 2 0 0 -2 -1 1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.401606356491 0.670546258531 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_11'], 'c_1001_10' : d['c_0101_10'], 'c_1001_12' : d['c_0011_11'], 'c_1001_5' : negation(d['c_0110_11']), 'c_1001_4' : d['c_1001_4'], 'c_1001_7' : negation(d['c_0011_4']), 'c_1001_6' : d['c_0101_0'], 'c_1001_1' : d['c_0101_1'], 'c_1001_0' : negation(d['c_0011_4']), 'c_1001_3' : d['c_1001_11'], 'c_1001_2' : negation(d['c_0011_0']), 'c_1001_9' : negation(d['c_1001_11']), 'c_1001_8' : d['c_1001_11'], 'c_1010_12' : negation(d['c_1001_11']), 'c_1010_11' : d['c_1001_11'], 'c_1010_10' : d['c_0101_5'], 's_0_10' : d['1'], 's_0_11' : 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' : negation(d['c_0011_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' : 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_0011_11' : d['c_0011_11'], 'c_1100_8' : negation(d['c_1001_4']), 'c_0011_12' : negation(d['c_0011_10']), 'c_1100_5' : negation(d['c_0110_11']), 'c_1100_4' : negation(d['c_0110_11']), 'c_1100_7' : negation(d['c_1001_4']), 'c_1100_6' : d['c_0101_3'], 'c_1100_1' : negation(d['c_0110_11']), 'c_1100_0' : negation(d['c_1001_4']), 'c_1100_3' : negation(d['c_1001_4']), 'c_1100_2' : negation(d['c_0101_0']), 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0011_10']), 'c_1100_10' : d['c_0101_3'], 's_3_10' : d['1'], 'c_1010_7' : d['c_1001_11'], 'c_1010_6' : d['c_0101_10'], 'c_1010_5' : d['c_0101_1'], 'c_1010_4' : d['c_0101_1'], 'c_1010_3' : negation(d['c_0011_4']), 'c_1010_2' : negation(d['c_0011_4']), 'c_1010_1' : d['c_1001_4'], 'c_1010_0' : negation(d['c_0011_0']), 'c_1010_9' : negation(d['c_0110_11']), 'c_1010_8' : d['c_1001_11'], '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' : negation(d['c_0110_11']), '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_11']), 'c_0011_5' : d['c_0011_3'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_3']), '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_0110_11'], 'c_0110_10' : negation(d['c_0011_11']), 'c_0110_12' : d['c_0101_10'], 'c_0101_12' : negation(d['c_0011_11']), 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_1'], 'c_0101_6' : negation(d['c_0011_3']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_10'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_10'], 'c_0101_8' : d['c_0101_5'], 'c_0011_10' : d['c_0011_10'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_5'], 'c_0110_8' : d['c_0101_3'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_0110_11']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_3']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : negation(d['c_0011_3']), 'c_0110_7' : d['c_0101_5'], 'c_0110_6' : d['c_0101_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_3, c_0011_4, c_0101_0, c_0101_1, c_0101_10, c_0101_3, c_0101_5, c_0110_11, c_1001_11, c_1001_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 15 Groebner basis: [ t - 160066378785546252839/35249606368768*c_1001_4^14 + 9963260676327075907415/246747244581376*c_1001_4^13 - 3257250643440213459561/15421702786336*c_1001_4^12 + 2557283728336956624903/3204509669888*c_1001_4^11 - 35117479219587928034287/15421702786336*c_1001_4^10 + 55499830601473383685153/11215783844608*c_1001_4^9 - 1122078514318610631427/137693774878*c_1001_4^8 + 2481922735653236120205395/246747244581376*c_1001_4^7 - 2268778057976365873109621/246747244581376*c_1001_4^6 + 188776821413656223745821/30843405572672*c_1001_4^5 - 356853411795937426868215/123373622290688*c_1001_4^4 + 229799217454245774748275/246747244581376*c_1001_4^3 - 2158407611726723013243/11215783844608*c_1001_4^2 + 2827130414504151864751/123373622290688*c_1001_4 - 294878230973374460961/246747244581376, c_0011_0 - 1, c_0011_10 + 2430168757282/6258807949*c_1001_4^14 - 22453687513800/6258807949*c_1001_4^13 + 120353647918782/6258807949*c_1001_4^12 - 464714557325323/6258807949*c_1001_4^11 + 1358617240324494/6258807949*c_1001_4^10 - 3040268171697469/6258807949*c_1001_4^9 + 5193337899395469/6258807949*c_1001_4^8 - 6711549660309050/6258807949*c_1001_4^7 + 6492669090527300/6258807949*c_1001_4^6 - 4631672113632685/6258807949*c_1001_4^5 + 2380388983196147/6258807949*c_1001_4^4 - 848001792232933/6258807949*c_1001_4^3 + 196671340932288/6258807949*c_1001_4^2 - 26566997393211/6258807949*c_1001_4 + 1586877354518/6258807949, c_0011_11 - 3054591283681/6258807949*c_1001_4^14 + 28022229987923/6258807949*c_1001_4^13 - 149509579886839/6258807949*c_1001_4^12 + 574938498946363/6258807949*c_1001_4^11 - 1673254345924560/6258807949*c_1001_4^10 + 3723948388215077/6258807949*c_1001_4^9 - 6318139038934268/6258807949*c_1001_4^8 + 8095954004275386/6258807949*c_1001_4^7 - 7749893243992642/6258807949*c_1001_4^6 + 5457298037026909/6258807949*c_1001_4^5 - 2760215265676599/6258807949*c_1001_4^4 + 963917723825278/6258807949*c_1001_4^3 - 218128693834694/6258807949*c_1001_4^2 + 28592604311950/6258807949*c_1001_4 - 1641833192576/6258807949, c_0011_3 - 69589883762/6258807949*c_1001_4^14 + 644029175078/6258807949*c_1001_4^13 - 3450288597600/6258807949*c_1001_4^12 + 13317367081032/6258807949*c_1001_4^11 - 38913748498090/6258807949*c_1001_4^10 + 87013182217140/6258807949*c_1001_4^9 - 148502507628953/6258807949*c_1001_4^8 + 191822733459596/6258807949*c_1001_4^7 - 185859899179440/6258807949*c_1001_4^6 + 133621283346736/6258807949*c_1001_4^5 - 70216451154241/6258807949*c_1001_4^4 + 26378907914597/6258807949*c_1001_4^3 - 6842628110353/6258807949*c_1001_4^2 + 1142995671175/6258807949*c_1001_4 - 90481452741/6258807949, c_0011_4 + 25778228119/6258807949*c_1001_4^14 - 230947850444/6258807949*c_1001_4^13 + 1203376543909/6258807949*c_1001_4^12 - 4523741912687/6258807949*c_1001_4^11 + 12808260542811/6258807949*c_1001_4^10 - 27466883390354/6258807949*c_1001_4^9 + 44218249582715/6258807949*c_1001_4^8 - 52495409706907/6258807949*c_1001_4^7 + 44924061783858/6258807949*c_1001_4^6 - 26789690465255/6258807949*c_1001_4^5 + 10469870473087/6258807949*c_1001_4^4 - 2326308966590/6258807949*c_1001_4^3 + 126927181076/6258807949*c_1001_4^2 + 77471878880/6258807949*c_1001_4 - 22177090341/6258807949, c_0101_0 - 1, c_0101_1 + 12104014678/6258807949*c_1001_4^14 - 118678298194/6258807949*c_1001_4^13 + 650316731198/6258807949*c_1001_4^12 - 2551880812096/6258807949*c_1001_4^11 + 7569411227384/6258807949*c_1001_4^10 - 17141298548539/6258807949*c_1001_4^9 + 29483038315530/6258807949*c_1001_4^8 - 38000815470948/6258807949*c_1001_4^7 + 36068677500918/6258807949*c_1001_4^6 - 24684267473195/6258807949*c_1001_4^5 + 11825938270741/6258807949*c_1001_4^4 - 3824506929165/6258807949*c_1001_4^3 + 799262266212/6258807949*c_1001_4^2 - 105770582647/6258807949*c_1001_4 + 3682604017/6258807949, c_0101_10 - 13674213441/6258807949*c_1001_4^14 + 112269552250/6258807949*c_1001_4^13 - 553059812711/6258807949*c_1001_4^12 + 1971861100591/6258807949*c_1001_4^11 - 5238849315427/6258807949*c_1001_4^10 + 10325584841815/6258807949*c_1001_4^9 - 14735211267185/6258807949*c_1001_4^8 + 14494594235959/6258807949*c_1001_4^7 - 8855384282940/6258807949*c_1001_4^6 + 2105422992060/6258807949*c_1001_4^5 + 1356067797654/6258807949*c_1001_4^4 - 1498197962575/6258807949*c_1001_4^3 + 672335085136/6258807949*c_1001_4^2 - 183242461527/6258807949*c_1001_4 + 25859694358/6258807949, c_0101_3 - 122117657718/6258807949*c_1001_4^14 + 1152691979585/6258807949*c_1001_4^13 - 6278981971670/6258807949*c_1001_4^12 + 24603257069505/6258807949*c_1001_4^11 - 73136971717006/6258807949*c_1001_4^10 + 167092645263408/6258807949*c_1001_4^9 - 293176369174744/6258807949*c_1001_4^8 + 392431715485251/6258807949*c_1001_4^7 - 397415891421556/6258807949*c_1001_4^6 + 300840281903974/6258807949*c_1001_4^5 - 167028137442295/6258807949*c_1001_4^4 + 65879037120658/6258807949*c_1001_4^3 - 17495835365059/6258807949*c_1001_4^2 + 2819802080122/6258807949*c_1001_4 - 209398011522/6258807949, c_0101_5 - 40827123176/6258807949*c_1001_4^14 + 377118885978/6258807949*c_1001_4^13 - 2027222983478/6258807949*c_1001_4^12 + 7856457832590/6258807949*c_1001_4^11 - 23084712587139/6258807949*c_1001_4^10 + 52058560028080/6258807949*c_1001_4^9 - 90028111347939/6258807949*c_1001_4^8 + 118689311090954/6258807949*c_1001_4^7 - 118553051924235/6258807949*c_1001_4^6 + 88933227860489/6258807949*c_1001_4^5 - 49385171741816/6258807949*c_1001_4^4 + 19786004325697/6258807949*c_1001_4^3 - 5470986598317/6258807949*c_1001_4^2 + 951566330000/6258807949*c_1001_4 - 78586581712/6258807949, c_0110_11 - 16658745908/6258807949*c_1001_4^14 + 148231990906/6258807949*c_1001_4^13 - 772748882924/6258807949*c_1001_4^12 + 2909028436346/6258807949*c_1001_4^11 - 8259624683567/6258807949*c_1001_4^10 + 17813323640521/6258807949*c_1001_4^9 - 28991357965484/6258807949*c_1001_4^8 + 35132606897694/6258807949*c_1001_4^7 - 31238169754287/6258807949*c_1001_4^6 + 20003788013052/6258807949*c_1001_4^5 - 9005341141684/6258807949*c_1001_4^4 + 2768396659735/6258807949*c_1001_4^3 - 566120437875/6258807949*c_1001_4^2 + 73141142630/6258807949*c_1001_4 - 1953459063/6258807949, c_1001_11 + 412899867121/6258807949*c_1001_4^14 - 3838554553381/6258807949*c_1001_4^13 + 20686476175549/6258807949*c_1001_4^12 - 80294619104526/6258807949*c_1001_4^11 + 236201016175632/6258807949*c_1001_4^10 - 532866343210176/6258807949*c_1001_4^9 + 920435510268691/6258807949*c_1001_4^8 - 1208317240524959/6258807949*c_1001_4^7 + 1195055981506041/6258807949*c_1001_4^6 - 879418396919732/6258807949*c_1001_4^5 + 472038796509889/6258807949*c_1001_4^4 - 178652923105267/6258807949*c_1001_4^3 + 45003844696997/6258807949*c_1001_4^2 - 6756285958258/6258807949*c_1001_4 + 457858116992/6258807949, c_1001_4^15 - 66/7*c_1001_4^14 + 359/7*c_1001_4^13 - 1405/7*c_1001_4^12 + 4171/7*c_1001_4^11 - 9514/7*c_1001_4^10 + 16662/7*c_1001_4^9 - 22261/7*c_1001_4^8 + 22518/7*c_1001_4^7 - 17069/7*c_1001_4^6 + 9546/7*c_1001_4^5 - 549*c_1001_4^4 + 1073/7*c_1001_4^3 - 28*c_1001_4^2 + 3*c_1001_4 - 1/7 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.320 Total time: 0.530 seconds, Total memory usage: 32.09MB