Magma V2.19-8 Wed Aug 21 2013 01:03:24 on localhost [Seed = 4173258994] Type ? for help. Type -D to quit. Loading file "L14n199__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n199 geometric_solution 11.49416297 oriented_manifold CS_known 0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 1 3 0132 0132 3120 0132 1 0 1 1 0 0 0 0 -2 0 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 -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 0.473532151326 0.536140566250 0 4 0 5 0132 0132 3120 0132 1 0 1 1 0 -1 1 0 2 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 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 0.473532151326 0.536140566250 3 0 7 6 1023 0132 0132 0132 1 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 1 -1 0 0 0 0 0 1 0 0 -1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.045927643462 0.930323921527 5 2 0 5 0132 1023 0132 2103 1 0 1 1 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 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 1.074553037332 1.047805639404 8 1 9 10 0132 0132 0132 0132 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.824824163703 0.527831876994 3 6 1 3 0132 3012 0132 2103 1 0 1 1 0 0 0 0 -1 0 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 0 0 0 -1 0 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 1.074553037332 1.047805639404 5 10 2 8 1230 3120 0132 0321 1 1 1 1 0 0 0 0 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 0 0 0 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 1.712039186982 1.083479152663 11 10 9 2 0132 2310 2310 0132 1 1 1 1 0 1 -1 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 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 -0.240599231701 1.151268480141 4 6 12 11 0132 0321 0132 0213 1 1 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 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 1.284732631717 0.747652452035 12 7 12 4 1302 3201 3120 0132 1 1 1 1 0 0 -1 1 1 0 -1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.511528785180 1.121768097234 11 6 4 7 2310 3120 0132 3201 1 1 1 1 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 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 0.426745728562 1.122685927480 7 12 10 8 0132 2031 3201 0213 1 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 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 0.474752922592 0.721416217694 11 9 9 8 1302 2031 3120 0132 1 1 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 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 -0.217414135843 0.829004896982 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0101_10']), 'c_1001_10' : negation(d['c_1001_0']), 'c_1001_12' : negation(d['c_0101_4']), 'c_1001_5' : negation(d['c_0011_6']), 'c_1001_4' : negation(d['c_0011_6']), 'c_1001_7' : d['c_0011_6'], 'c_1001_6' : d['c_1001_0'], 'c_1001_1' : negation(d['c_1001_0']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0101_11'], 'c_1001_2' : d['c_0101_11'], 'c_1001_9' : d['c_0101_4'], 'c_1001_8' : d['c_0011_9'], 'c_1010_12' : d['c_0011_9'], 'c_1010_11' : d['c_0011_12'], 'c_1010_10' : negation(d['c_0011_6']), 's_0_10' : negation(d['1']), 's_0_11' : 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_10'], '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' : negation(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' : negation(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' : d['c_0011_11'], 'c_1100_8' : d['c_0011_12'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0101_0']), 'c_1100_4' : d['c_0011_11'], 'c_1100_7' : d['c_0011_9'], 'c_1100_6' : d['c_0011_9'], 'c_1100_1' : negation(d['c_0101_0']), 'c_1100_0' : negation(d['c_0101_1']), 'c_1100_3' : negation(d['c_0101_1']), 'c_1100_2' : d['c_0011_9'], 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0011_10']), 'c_1100_10' : d['c_0011_11'], 's_3_10' : d['1'], 'c_1010_7' : d['c_0101_11'], 'c_1010_6' : negation(d['c_0011_10']), 'c_1010_5' : negation(d['c_0101_6']), 'c_1010_4' : negation(d['c_1001_0']), 'c_1010_3' : d['c_0101_6'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0011_6']), 'c_1010_0' : d['c_0101_11'], 'c_1010_9' : negation(d['c_0011_6']), 'c_1010_8' : negation(d['c_0011_10']), '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' : negation(d['1']), 's_3_7' : negation(d['1']), 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : d['c_0011_12'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : negation(d['1']), 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : negation(d['1']), 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_9'], 'c_0011_8' : negation(d['c_0011_0']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_11']), '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' : negation(d['c_0011_0']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0101_4']), 'c_0110_10' : negation(d['c_0101_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' : negation(d['c_0101_4']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_11'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_12']), 'c_0101_8' : d['c_0101_10'], '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_4'], 'c_0110_8' : d['c_0101_4'], 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : d['c_0011_11'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_6'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0101_11'], 'c_0110_6' : d['c_0011_0']})} 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_12, c_0011_6, c_0011_9, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_4, c_0101_6, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t - 4913565455242640531456/1298374701212925*c_1001_0^13 - 3649135008319057272832/86558313414195*c_1001_0^12 - 294406327648658020728832/1298374701212925*c_1001_0^11 - 1004532543510069929971712/1298374701212925*c_1001_0^10 - 114957746502467553049088/61827366724425*c_1001_0^9 - 477747601179723253466624/144263855690325*c_1001_0^8 - 5823007397475542020166144/1298374701212925*c_1001_0^7 - 6057498134192561554761472/1298374701212925*c_1001_0^6 - 4831167391350515713001312/1298374701212925*c_1001_0^5 - 107880433382552667414304/48087951896775*c_1001_0^4 - 47722429940394422335712/48087951896775*c_1001_0^3 - 395551390292932366677424/1298374701212925*c_1001_0^2 - 75477319525775128183508/1298374701212925*c_1001_0 - 751560341382391735552/144263855690325, c_0011_0 - 1, c_0011_10 - 2*c_1001_0^2 - 2*c_1001_0 - 1, c_0011_11 + 10416128/4221*c_1001_0^13 + 38472704/1407*c_1001_0^12 + 617697280/4221*c_1001_0^11 + 2097509888/4221*c_1001_0^10 + 238909184/201*c_1001_0^9 + 988261440/469*c_1001_0^8 + 11989842176/4221*c_1001_0^7 + 12415491808/4221*c_1001_0^6 + 9857051600/4221*c_1001_0^5 + 657398340/469*c_1001_0^4 + 289588032/469*c_1001_0^3 + 797130826/4221*c_1001_0^2 + 151691966/4221*c_1001_0 + 1509145/469, c_0011_12 - 6963200/4221*c_1001_0^13 - 25567232/1407*c_1001_0^12 - 408352768/4221*c_1001_0^11 - 1379729408/4221*c_1001_0^10 - 156377600/201*c_1001_0^9 - 643636736/469*c_1001_0^8 - 7768878080/4221*c_1001_0^7 - 8002262272/4221*c_1001_0^6 - 6318400688/4221*c_1001_0^5 - 418960736/469*c_1001_0^4 - 183409020/469*c_1001_0^3 - 501360880/4221*c_1001_0^2 - 94624751/4221*c_1001_0 - 931416/469, c_0011_6 - 3481600/4221*c_1001_0^13 - 12783616/1407*c_1001_0^12 - 204176384/4221*c_1001_0^11 - 689864704/4221*c_1001_0^10 - 78188800/201*c_1001_0^9 - 321818368/469*c_1001_0^8 - 3884439040/4221*c_1001_0^7 - 4001131136/4221*c_1001_0^6 - 3159166576/4221*c_1001_0^5 - 209465360/469*c_1001_0^4 - 91677308/469*c_1001_0^3 - 250444064/4221*c_1001_0^2 - 47192077/4221*c_1001_0 - 462894/469, c_0011_9 - 106496/4221*c_1001_0^13 - 370688/1407*c_1001_0^12 - 5502976/4221*c_1001_0^11 - 17028608/4221*c_1001_0^10 - 1746944/201*c_1001_0^9 - 6445056/469*c_1001_0^8 - 69124352/4221*c_1001_0^7 - 62600224/4221*c_1001_0^6 - 42607232/4221*c_1001_0^5 - 2321336/469*c_1001_0^4 - 730808/469*c_1001_0^3 - 840082/4221*c_1001_0^2 + 191554/4221*c_1001_0 + 7512/469, c_0101_0 - 1, c_0101_1 + 24162304/4221*c_1001_0^13 + 89755648/1407*c_1001_0^12 + 1448364032/4221*c_1001_0^11 + 4941362176/4221*c_1001_0^10 + 565348096/201*c_1001_0^9 + 2348707328/469*c_1001_0^8 + 28615502464/4221*c_1001_0^7 + 29754932096/4221*c_1001_0^6 + 23721442384/4221*c_1001_0^5 + 1588633280/469*c_1001_0^4 + 702707160/469*c_1001_0^3 + 1942154660/4221*c_1001_0^2 + 370969138/4221*c_1001_0 + 3701445/469, c_0101_10 - 8525824/4221*c_1001_0^13 - 31172608/1407*c_1001_0^12 - 496246784/4221*c_1001_0^11 - 1672606720/4221*c_1001_0^10 - 189248128/201*c_1001_0^9 - 778080640/469*c_1001_0^8 - 9385960960/4221*c_1001_0^7 - 9665070272/4221*c_1001_0^6 - 7629737848/4221*c_1001_0^5 - 505704792/469*c_1001_0^4 - 221160692/469*c_1001_0^3 - 603280628/4221*c_1001_0^2 - 113420227/4221*c_1001_0 - 1109230/469, c_0101_11 + 3481600/4221*c_1001_0^13 + 12783616/1407*c_1001_0^12 + 204176384/4221*c_1001_0^11 + 689864704/4221*c_1001_0^10 + 78188800/201*c_1001_0^9 + 321818368/469*c_1001_0^8 + 3884439040/4221*c_1001_0^7 + 4001131136/4221*c_1001_0^6 + 3159166576/4221*c_1001_0^5 + 209465360/469*c_1001_0^4 + 91677308/469*c_1001_0^3 + 250444064/4221*c_1001_0^2 + 47192077/4221*c_1001_0 + 462894/469, c_0101_4 - 5163008/4221*c_1001_0^13 - 18913280/1407*c_1001_0^12 - 301533184/4221*c_1001_0^11 - 1017445376/4221*c_1001_0^10 - 115208576/201*c_1001_0^9 - 473905792/469*c_1001_0^8 - 5718369728/4221*c_1001_0^7 - 5889651136/4221*c_1001_0^6 - 4650865304/4221*c_1001_0^5 - 308486984/469*c_1001_0^4 - 135121712/469*c_1001_0^3 - 369688372/4221*c_1001_0^2 - 69864695/4221*c_1001_0 - 688970/469, c_0101_6 - c_1001_0 - 2, c_1001_0^14 + 12*c_1001_0^13 + 139/2*c_1001_0^12 + 256*c_1001_0^11 + 10677/16*c_1001_0^10 + 5193/4*c_1001_0^9 + 62057/32*c_1001_0^8 + 2255*c_1001_0^7 + 524191/256*c_1001_0^6 + 184671/128*c_1001_0^5 + 397035/512*c_1001_0^4 + 39421/128*c_1001_0^3 + 174833/2048*c_1001_0^2 + 30267/2048*c_1001_0 + 4941/4096 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.520 Total time: 0.730 seconds, Total memory usage: 32.09MB