Magma V2.19-8 Wed Aug 21 2013 00:57:51 on localhost [Seed = 509084832] Type ? for help. Type -D to quit. Loading file "L13n4532__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n4532 geometric_solution 11.96361611 oriented_manifold CS_known -0.0000000000000001 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 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 0 0 1 -1 1 -2 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.619504216266 1.592071192943 0 5 7 6 0132 0132 0132 0132 1 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 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 0.173848808349 0.541130760657 4 0 3 6 0132 0132 0213 2031 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 1 0 -1 0 -1 1 0 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.509871935809 0.613385808969 8 2 9 0 0132 0213 0132 0132 0 1 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 0 0 0 0 0 0 0 0 0 0 0 2 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 0.295774246836 0.671993815373 2 9 0 10 0132 0132 0132 0132 0 1 1 1 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 1 -1 -1 0 1 0 2 0 0 -2 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.338598351303 0.699147864593 9 1 7 11 0132 0132 1302 0132 1 1 1 1 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 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 1.029826229998 1.146137393223 8 2 1 12 2103 1302 0132 0132 1 1 0 1 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 -1 -1 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.234154802735 0.853937940964 5 10 12 1 2031 1023 0132 0132 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 0.417516283744 1.524554022018 3 12 6 10 0132 3120 2103 0321 0 1 1 1 0 1 -1 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 -2 1 1 -2 0 0 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 1.013798982695 1.226836895910 5 4 11 3 0132 0132 2031 0132 0 1 1 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 -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 0.593995199020 0.900451261170 7 8 4 11 1023 0321 0132 2031 0 1 1 1 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 -1 1 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 0.594089430134 0.804647838275 12 10 5 9 0132 1302 0132 1302 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 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 0.334285566545 0.813633741908 11 8 6 7 0132 3120 0132 0132 1 1 1 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 0 0 0 0 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.940894277859 0.833600424210 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0110_10'], 'c_1001_10' : negation(d['c_0101_12']), 'c_1001_12' : negation(d['c_0011_6']), 'c_1001_5' : d['c_0101_1'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_0011_3'], 'c_1001_6' : d['c_0101_1'], 'c_1001_1' : d['c_0110_10'], 'c_1001_0' : d['c_0011_6'], 'c_1001_3' : d['c_1001_2'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : negation(d['c_0101_12']), 'c_1001_8' : d['c_0011_6'], 'c_1010_12' : d['c_0011_3'], 'c_1010_11' : d['c_1010_11'], 'c_1010_10' : d['c_0011_11'], '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' : d['c_0101_11'], 'c_0101_10' : d['c_0011_3'], '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' : 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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : negation(d['c_1010_11']), 'c_1100_8' : negation(d['c_0101_12']), 'c_0011_12' : negation(d['c_0011_11']), 'c_1100_5' : d['c_0101_11'], 'c_1100_4' : negation(d['c_1010_11']), 'c_1100_7' : d['c_1100_1'], 'c_1100_6' : d['c_1100_1'], 'c_1100_1' : d['c_1100_1'], 'c_1100_0' : negation(d['c_1010_11']), 'c_1100_3' : negation(d['c_1010_11']), 'c_1100_2' : d['c_0011_6'], 's_3_11' : d['1'], 'c_1100_11' : d['c_0101_11'], 'c_1100_10' : negation(d['c_1010_11']), 's_3_10' : d['1'], 'c_1010_7' : d['c_0110_10'], 'c_1010_6' : negation(d['c_0011_6']), 'c_1010_5' : d['c_0110_10'], 'c_1010_4' : negation(d['c_0101_12']), 'c_1010_3' : d['c_0011_6'], 'c_1010_2' : d['c_0011_6'], 'c_1010_1' : d['c_0101_1'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_1001_2'], 'c_1010_8' : d['c_0011_11'], 's_3_1' : negation(d['1']), 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : negation(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_1100_1'], 's_1_7' : d['1'], 's_1_6' : negation(d['1']), 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : 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_0']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : d['c_0011_10'], 'c_0011_6' : d['c_0011_6'], '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_12'], 'c_0110_10' : d['c_0110_10'], 'c_0110_12' : d['c_0101_11'], 'c_0101_12' : d['c_0101_12'], 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : d['c_0101_11'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0011_10']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_10']), 'c_0101_2' : d['c_0011_3'], '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_0'], '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' : negation(d['c_0011_10']), 'c_0110_8' : negation(d['c_0011_10']), '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_1'], 'c_0110_5' : d['c_0101_11'], 'c_0110_4' : d['c_0011_3'], '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_11, c_0011_3, c_0011_6, c_0101_0, c_0101_1, c_0101_11, c_0101_12, c_0110_10, c_1001_2, c_1010_11, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t + 31245938799776018351170861446836/1224361819960014145422500571545*c_\ 1100_1^8 - 104949241528852792553287961025173/1224361819960014145422\ 500571545*c_1100_1^7 + 283438883034480123445670276540361/1224361819\ 960014145422500571545*c_1100_1^6 - 124478091593373454786882562734/372939939067929986421718115*c_1100_1\ ^5 + 1095792229541411419955243199382483/122436181996001414542250057\ 1545*c_1100_1^4 - 227336138138640452072426000587151/122436181996001\ 4145422500571545*c_1100_1^3 - 45243888876139918198184509520462/1113\ 05619996364922311136415595*c_1100_1^2 + 68292167174771705770211976692530/244872363992002829084500114309*c_1\ 100_1 - 94106711022690284635183947520133/12243618199600141454225005\ 71545, c_0011_0 - 1, c_0011_10 + 18655940852269091155002/85831976770524737956667*c_1100_1^8 - 52313527113359412172708/85831976770524737956667*c_1100_1^7 + 135727428002538442500277/85831976770524737956667*c_1100_1^6 - 155776462603029734664648/85831976770524737956667*c_1100_1^5 + 538368654861148810475715/85831976770524737956667*c_1100_1^4 + 192083805007548938031962/85831976770524737956667*c_1100_1^3 - 301473816960644358325607/85831976770524737956667*c_1100_1^2 - 10590713143759059151144/85831976770524737956667*c_1100_1 + 59033590403807596689067/85831976770524737956667, c_0011_11 + 4021733110262805982019/85831976770524737956667*c_1100_1^8 - 17099751193846855058004/85831976770524737956667*c_1100_1^7 + 41681938257620464969892/85831976770524737956667*c_1100_1^6 - 65723427773411156971543/85831976770524737956667*c_1100_1^5 + 132195389361309934531440/85831976770524737956667*c_1100_1^4 - 78254977537932990349058/85831976770524737956667*c_1100_1^3 - 264378661588592601280279/85831976770524737956667*c_1100_1^2 + 64011502282728422047873/85831976770524737956667*c_1100_1 - 50033084360732133252006/85831976770524737956667, c_0011_3 - 24817960030500563556751/85831976770524737956667*c_1100_1^8 + 85878182466051429587590/85831976770524737956667*c_1100_1^7 - 228617681956904927646124/85831976770524737956667*c_1100_1^6 + 335296817480909337208356/85831976770524737956667*c_1100_1^5 - 871727215166066922099876/85831976770524737956667*c_1100_1^4 + 239802827603105233293449/85831976770524737956667*c_1100_1^3 + 511418037235205951210541/85831976770524737956667*c_1100_1^2 - 231682297418304754401995/85831976770524737956667*c_1100_1 - 4000238203374896484225/85831976770524737956667, c_0011_6 - 1, c_0101_0 - 20932580143133204786148/85831976770524737956667*c_1100_1^8 + 62566725188869972031563/85831976770524737956667*c_1100_1^7 - 166456154565392380925137/85831976770524737956667*c_1100_1^6 + 211025793637312110019352/85831976770524737956667*c_1100_1^5 - 653122501058434580053281/85831976770524737956667*c_1100_1^4 - 90799172465092075212322/85831976770524737956667*c_1100_1^3 + 317039200365901290817947/85831976770524737956667*c_1100_1^2 - 57952511644628124445259/85831976770524737956667*c_1100_1 - 25008485151630977807964/85831976770524737956667, c_0101_1 + 21239565293182027751297/85831976770524737956667*c_1100_1^8 - 77192262780981399802694/85831976770524737956667*c_1100_1^7 + 205657895509097469841343/85831976770524737956667*c_1100_1^6 - 311833499713946397527953/85831976770524737956667*c_1100_1^5 + 768838262048032725553135/85831976770524737956667*c_1100_1^4 - 295602073288912639797749/85831976770524737956667*c_1100_1^3 - 502209362044968452738532/85831976770524737956667*c_1100_1^2 + 259780328605647196544118/85831976770524737956667*c_1100_1 - 30552327086232163482151/85831976770524737956667, c_0101_11 - 5371212433735824571186/85831976770524737956667*c_1100_1^8 + 15501188346591104030518/85831976770524737956667*c_1100_1^7 - 38278590618556513077614/85831976770524737956667*c_1100_1^6 + 45107610689494136431981/85831976770524737956667*c_1100_1^5 - 151281185001989475804127/85831976770524737956667*c_1100_1^4 - 48419346797895458063702/85831976770524737956667*c_1100_1^3 + 137297572215452533254881/85831976770524737956667*c_1100_1^2 + 49444256512909922583054/85831976770524737956667*c_1100_1 - 45430499572619455411111/85831976770524737956667, c_0101_12 - 15471560602280808370037/85831976770524737956667*c_1100_1^8 + 61117384806469718042741/85831976770524737956667*c_1100_1^7 - 169915419334795336320484/85831976770524737956667*c_1100_1^6 + 280077719347225502664498/85831976770524737956667*c_1100_1^5 - 650766269457314319029519/85831976770524737956667*c_1100_1^4 + 407436509460876551064583/85831976770524737956667*c_1100_1^3 + 221354106140948381370863/85831976770524737956667*c_1100_1^2 - 321665397017951554765343/85831976770524737956667*c_1100_1 + 59447239224171240371859/85831976770524737956667, c_0110_10 - 10423836963519695281931/85831976770524737956667*c_1100_1^8 + 10388344796168720000359/85831976770524737956667*c_1100_1^7 - 28033787398544581328479/85831976770524737956667*c_1100_1^6 - 39103646565142718774229/85831976770524737956667*c_1100_1^5 - 170285084603806417462400/85831976770524737956667*c_1100_1^4 - 629558526373027110906611/85831976770524737956667*c_1100_1^3 - 145331757499179759585014/85831976770524737956667*c_1100_1^2 + 195890739808705036243668/85831976770524737956667*c_1100_1 - 67482353271176527526368/85831976770524737956667, c_1001_2 - 26658700073859099850818/85831976770524737956667*c_1100_1^8 + 105586960473474146804378/85831976770524737956667*c_1100_1^7 - 287102008349126292732408/85831976770524737956667*c_1100_1^6 + 470236066305579493366349/85831976770524737956667*c_1100_1^5 - 1087555549570369106144883/85831976770524737956667*c_1100_1^4 + 704734971749293515683653/85831976770524737956667*c_1100_1^3 + 499767739432946867375335/85831976770524737956667*c_1100_1^2 - 381730571626991239191598/85831976770524737956667*c_1100_1 - 43784260917450885861063/85831976770524737956667, c_1010_11 - 64129412481724875905787/85831976770524737956667*c_1100_1^8 + 212137970268020077204709/85831976770524737956667*c_1100_1^7 - 570116611791447211404070/85831976770524737956667*c_1100_1^6 + 810508372072226072020441/85831976770524737956667*c_1100_1^5 - 2213371006817597100981213/85831976770524737956667*c_1100_1^4 + 385854351629392679978951/85831976770524737956667*c_1100_1^3 + 1002143783732350625498269/85831976770524737956667*c_1100_1^2 - 502879856844886859838729/85831976770524737956667*c_1100_1 + 31476143022266956781752/85831976770524737956667, c_1100_1^9 - 515/157*c_1100_1^8 + 1384/157*c_1100_1^7 - 1943/157*c_1100_1^6 + 5354/157*c_1100_1^5 - 719/157*c_1100_1^4 - 2535/157*c_1100_1^3 + 1558/157*c_1100_1^2 - 181/157*c_1100_1 + 67/157 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.300 Total time: 0.500 seconds, Total memory usage: 32.09MB