Magma V2.19-8 Wed Aug 21 2013 00:02:40 on localhost [Seed = 1140993469] Type ? for help. Type -D to quit. Loading file "K13n1691__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K13n1691 geometric_solution 11.65570050 oriented_manifold CS_known 0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 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 -1 1 0 0 0 0 0 -1 0 0 1 3 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.756424606954 0.933888523901 0 3 6 5 0132 1230 0132 0132 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 -1 1 0 0 0 0 0 -3 -1 0 4 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.436177338858 1.241127699592 5 0 8 7 0132 0132 0132 0132 0 0 0 0 0 0 0 0 0 0 -1 1 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 3 -3 -4 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.808760937435 0.615914975147 7 9 1 0 0132 0132 3012 0132 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 1 -1 -1 0 1 0 0 -3 0 3 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.261493798729 1.002589196925 10 7 0 9 0132 0132 0132 0132 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 4 -4 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.261493798729 1.002589196925 2 6 1 11 0132 1023 0132 0132 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 4 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.394946544299 0.594374425495 5 9 11 1 1023 1302 0132 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 0.394946544299 0.594374425495 3 4 2 12 0132 0132 0132 0132 0 0 0 0 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 3 -4 1 -1 0 0 0 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.756424606954 0.933888523901 10 12 9 2 1302 0132 1302 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 0 -1 1 0 0 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 0 0.313819296590 0.466004812136 8 3 4 6 2031 0132 0132 2031 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 1 0 0 -1 0 0 0 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.217413081586 0.595982051178 4 8 12 11 0132 2031 2031 2031 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 -4 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.594172600858 0.820911987761 12 10 5 6 0132 1302 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1.489957341116 0.089319354504 11 8 7 10 0132 0132 0132 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 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.483938816857 0.978916595923 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_1'], 'c_1001_10' : negation(d['c_0101_11']), 'c_1001_12' : d['c_1001_12'], 'c_1001_5' : d['c_0101_12'], 'c_1001_4' : d['c_1001_12'], 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : d['c_0110_9'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0011_0'], 'c_1001_2' : d['c_1001_12'], 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : d['c_0110_9'], 'c_1010_12' : d['c_0110_9'], 'c_1010_11' : d['c_0110_9'], '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'], 'c_0101_12' : d['c_0101_12'], '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' : 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_1']), 'c_1100_8' : d['c_0101_10'], 'c_0011_12' : negation(d['c_0011_11']), 'c_1100_5' : d['c_1100_1'], 'c_1100_4' : negation(d['c_1001_1']), 'c_1100_7' : d['c_0101_10'], 'c_1100_6' : d['c_1100_1'], 'c_1100_1' : d['c_1100_1'], 'c_1100_0' : negation(d['c_1001_1']), 'c_1100_3' : negation(d['c_1001_1']), 'c_1100_2' : d['c_0101_10'], 's_3_11' : d['1'], 'c_1100_11' : d['c_1100_1'], 'c_1100_10' : negation(d['c_0110_9']), 's_3_10' : d['1'], 'c_1010_7' : d['c_1001_12'], 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : d['c_0101_1'], 'c_1010_4' : d['c_1001_0'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0101_12'], 'c_1010_0' : d['c_1001_12'], 'c_1010_9' : d['c_0011_0'], 'c_1010_8' : d['c_1001_12'], '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_0101_10'], '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' : d['c_0011_11'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : d['c_0011_10'], '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' : negation(d['c_0011_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_12'], 'c_0110_10' : d['c_0101_1'], 'c_0110_12' : d['c_0101_11'], 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : d['c_0101_0'], 'c_0101_6' : d['c_0101_12'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_12'], 'c_0101_2' : d['c_0101_11'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_10'], 'c_0101_8' : negation(d['c_0011_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_0110_9'], 'c_0110_8' : d['c_0101_11'], '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_0'], 'c_0110_5' : d['c_0101_11'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0101_12'], 'c_0110_6' : d['c_0101_1'], '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_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_12, c_0110_9, c_1001_0, c_1001_1, c_1001_12, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t + 25025416641301946/2353731571227103*c_1100_1^11 + 115124987166412571/2353731571227103*c_1100_1^10 - 535919579003833009/2353731571227103*c_1100_1^9 - 1761367112803413170/2353731571227103*c_1100_1^8 + 5962052871142589819/2353731571227103*c_1100_1^7 + 2932619721786275372/2353731571227103*c_1100_1^6 - 23289270184890601728/2353731571227103*c_1100_1^5 + 26165069485959126513/2353731571227103*c_1100_1^4 - 9058024121198255554/2353731571227103*c_1100_1^3 - 791576330405235570/2353731571227103*c_1100_1^2 + 1381268546608582357/2353731571227103*c_1100_1 - 311450698992391981/2353731571227103, c_0011_0 - 1, c_0011_10 + 698604636174064/2353731571227103*c_1100_1^11 + 4550537980240092/2353731571227103*c_1100_1^10 - 6266786789207364/2353731571227103*c_1100_1^9 - 61130088348361965/2353731571227103*c_1100_1^8 + 50233618311242561/2353731571227103*c_1100_1^7 + 177179998478321017/2353731571227103*c_1100_1^6 - 322274464512984176/2353731571227103*c_1100_1^5 + 129929531466071919/2353731571227103*c_1100_1^4 + 35607006055824093/2353731571227103*c_1100_1^3 - 42685379995336474/2353731571227103*c_1100_1^2 - 4050356001980466/2353731571227103*c_1100_1 + 479974598926141/2353731571227103, c_0011_11 + 114910389115498/2353731571227103*c_1100_1^11 + 1296318102380585/2353731571227103*c_1100_1^10 + 2498417207036116/2353731571227103*c_1100_1^9 - 15165705144594061/2353731571227103*c_1100_1^8 - 38953979986277967/2353731571227103*c_1100_1^7 + 71361638737062345/2353731571227103*c_1100_1^6 + 78186856027674955/2353731571227103*c_1100_1^5 - 235964243791386585/2353731571227103*c_1100_1^4 + 138840988423486853/2353731571227103*c_1100_1^3 - 16594658998387987/2353731571227103*c_1100_1^2 - 18223158592543458/2353731571227103*c_1100_1 - 3248567753132393/2353731571227103, c_0101_0 + 599385222104046/2353731571227103*c_1100_1^11 + 3986029946826267/2353731571227103*c_1100_1^10 - 4742477349740928/2353731571227103*c_1100_1^9 - 52509861737669575/2353731571227103*c_1100_1^8 + 35096705749029925/2353731571227103*c_1100_1^7 + 148867361726902824/2353731571227103*c_1100_1^6 - 249601364748242941/2353731571227103*c_1100_1^5 + 100501420140975356/2353731571227103*c_1100_1^4 + 4545330945578490/2353731571227103*c_1100_1^3 - 17792770005517755/2353731571227103*c_1100_1^2 - 7958352028581502/2353731571227103*c_1100_1 - 694525946617909/2353731571227103, c_0101_1 + 399077968280384/2353731571227103*c_1100_1^11 + 2625744506427240/2353731571227103*c_1100_1^10 - 3369774565672430/2353731571227103*c_1100_1^9 - 34920203958522377/2353731571227103*c_1100_1^8 + 25930663665514672/2353731571227103*c_1100_1^7 + 99917306282503982/2353731571227103*c_1100_1^6 - 172868544061734545/2353731571227103*c_1100_1^5 + 70019745455115354/2353731571227103*c_1100_1^4 + 1427730664720635/2353731571227103*c_1100_1^3 - 5535707991721849/2353731571227103*c_1100_1^2 - 6935385626224881/2353731571227103*c_1100_1 - 1409552146222968/2353731571227103, c_0101_10 - 110268123125692/2353731571227103*c_1100_1^11 - 591387091430572/2353731571227103*c_1100_1^10 + 1805676877985641/2353731571227103*c_1100_1^9 + 8490451053889656/2353731571227103*c_1100_1^8 - 18623880908454556/2353731571227103*c_1100_1^7 - 18159003145410088/2353731571227103*c_1100_1^6 + 78338071610938899/2353731571227103*c_1100_1^5 - 81064602776106037/2353731571227103*c_1100_1^4 + 33943247219694360/2353731571227103*c_1100_1^3 - 1493886988003643/2353731571227103*c_1100_1^2 - 4687065435899950/2353731571227103*c_1100_1 + 252418358484775/2353731571227103, c_0101_11 - 860267096892098/2353731571227103*c_1100_1^11 - 5553614819335195/2353731571227103*c_1100_1^10 + 7979466194297415/2353731571227103*c_1100_1^9 + 74428895930871200/2353731571227103*c_1100_1^8 - 65621161754055115/2353731571227103*c_1100_1^7 - 209372220452465091/2353731571227103*c_1100_1^6 + 404097963113660699/2353731571227103*c_1100_1^5 - 195982226889943496/2353731571227103*c_1100_1^4 - 2413908793017088/2353731571227103*c_1100_1^3 + 32836804205145364/2353731571227103*c_1100_1^2 + 6956916921170698/2353731571227103*c_1100_1 + 101036260396829/2353731571227103, c_0101_12 - 399077968280384/2353731571227103*c_1100_1^11 - 2625744506427240/2353731571227103*c_1100_1^10 + 3369774565672430/2353731571227103*c_1100_1^9 + 34920203958522377/2353731571227103*c_1100_1^8 - 25930663665514672/2353731571227103*c_1100_1^7 - 99917306282503982/2353731571227103*c_1100_1^6 + 172868544061734545/2353731571227103*c_1100_1^5 - 70019745455115354/2353731571227103*c_1100_1^4 - 1427730664720635/2353731571227103*c_1100_1^3 + 5535707991721849/2353731571227103*c_1100_1^2 + 6935385626224881/2353731571227103*c_1100_1 + 1409552146222968/2353731571227103, c_0110_9 + 860267096892098/2353731571227103*c_1100_1^11 + 5553614819335195/2353731571227103*c_1100_1^10 - 7979466194297415/2353731571227103*c_1100_1^9 - 74428895930871200/2353731571227103*c_1100_1^8 + 65621161754055115/2353731571227103*c_1100_1^7 + 209372220452465091/2353731571227103*c_1100_1^6 - 404097963113660699/2353731571227103*c_1100_1^5 + 195982226889943496/2353731571227103*c_1100_1^4 + 2413908793017088/2353731571227103*c_1100_1^3 - 32836804205145364/2353731571227103*c_1100_1^2 - 6956916921170698/2353731571227103*c_1100_1 - 101036260396829/2353731571227103, c_1001_0 + 311915836602224/2353731571227103*c_1100_1^11 + 1748324126756950/2353731571227103*c_1100_1^10 - 4606319490828587/2353731571227103*c_1100_1^9 - 24526133599770777/2353731571227103*c_1100_1^8 + 46755321852567700/2353731571227103*c_1100_1^7 + 55644834369080857/2353731571227103*c_1100_1^6 - 211201585181838830/2353731571227103*c_1100_1^5 + 196425489233499091/2353731571227103*c_1100_1^4 - 59350813176021852/2353731571227103*c_1100_1^3 - 15552048607809143/2353731571227103*c_1100_1^2 + 8991731371535802/2353731571227103*c_1100_1 + 46101710985063/2353731571227103, c_1001_1 - 599385222104046/2353731571227103*c_1100_1^11 - 3986029946826267/2353731571227103*c_1100_1^10 + 4742477349740928/2353731571227103*c_1100_1^9 + 52509861737669575/2353731571227103*c_1100_1^8 - 35096705749029925/2353731571227103*c_1100_1^7 - 148867361726902824/2353731571227103*c_1100_1^6 + 249601364748242941/2353731571227103*c_1100_1^5 - 100501420140975356/2353731571227103*c_1100_1^4 - 4545330945578490/2353731571227103*c_1100_1^3 + 17792770005517755/2353731571227103*c_1100_1^2 + 7958352028581502/2353731571227103*c_1100_1 + 694525946617909/2353731571227103, c_1001_12 + 698604636174064/2353731571227103*c_1100_1^11 + 4550537980240092/2353731571227103*c_1100_1^10 - 6266786789207364/2353731571227103*c_1100_1^9 - 61130088348361965/2353731571227103*c_1100_1^8 + 50233618311242561/2353731571227103*c_1100_1^7 + 177179998478321017/2353731571227103*c_1100_1^6 - 322274464512984176/2353731571227103*c_1100_1^5 + 129929531466071919/2353731571227103*c_1100_1^4 + 35607006055824093/2353731571227103*c_1100_1^3 - 42685379995336474/2353731571227103*c_1100_1^2 - 4050356001980466/2353731571227103*c_1100_1 + 479974598926141/2353731571227103, c_1100_1^12 + 13/2*c_1100_1^11 - 9*c_1100_1^10 - 87*c_1100_1^9 + 145/2*c_1100_1^8 + 495/2*c_1100_1^7 - 919/2*c_1100_1^6 + 413/2*c_1100_1^5 + 18*c_1100_1^4 - 89/2*c_1100_1^3 - 13/2*c_1100_1^2 - 1/2*c_1100_1 + 1/2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 1.660 Total time: 1.870 seconds, Total memory usage: 64.12MB