Magma V2.19-8 Wed Aug 21 2013 00:58:15 on localhost [Seed = 1208898264] Type ? for help. Type -D to quit. Loading file "L13n4930__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n4930 geometric_solution 11.99536137 oriented_manifold CS_known 0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 2 0132 0132 0132 1230 1 1 0 1 0 1 0 -1 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 -1 -1 2 0 0 -1 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 0.794320477969 1.194544664678 0 4 4 5 0132 0132 1302 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.450798995996 1.030955850404 0 0 7 6 3012 0132 0132 0132 1 1 1 0 0 -1 1 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 1 -1 0 -2 0 2 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 0.139990320849 0.813035197793 6 7 8 0 3201 3201 0132 0132 1 1 1 1 0 0 0 0 1 0 0 -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 -1 0 1 -1 0 0 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 -0.353972441068 0.465064570875 1 1 9 10 2031 0132 0132 0132 1 1 0 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 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 0.643943872303 0.814283419398 11 8 1 11 0132 3012 0132 3012 1 1 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 0 0 0 0 0 0 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 0.289140265592 0.919300200837 8 11 2 3 2031 2310 0132 2310 1 1 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 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 -0.111062719527 1.332208455209 10 10 3 2 1230 2031 2310 0132 1 1 0 1 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 0 0 0 0 0 -1 1 2 0 0 -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 0.828345972286 1.311746147181 5 12 6 3 1230 0132 1302 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 0.498104670913 1.353576799285 11 12 12 4 1302 2031 1230 0132 1 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 0 0 0 -1 0 0 1 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.643704517573 0.800214024358 7 7 4 12 1302 3012 0132 0132 1 1 1 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 1 0 -1 0 0 -2 0 2 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.828345972286 1.311746147181 5 9 5 6 0132 2031 1230 3201 1 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 2 0 -2 0 1 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 0.519298252813 0.483478838112 9 8 10 9 1302 0132 0132 3012 1 1 1 1 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 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.484911466883 0.486958466941 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0101_4']), 'c_1001_10' : negation(d['c_0011_7']), 'c_1001_12' : negation(d['c_0101_7']), 'c_1001_5' : d['c_0011_12'], 'c_1001_4' : d['c_0011_12'], 'c_1001_7' : d['c_0011_9'], 'c_1001_6' : negation(d['c_0011_9']), 'c_1001_1' : negation(d['c_0011_7']), 'c_1001_0' : negation(d['c_0011_9']), 'c_1001_3' : negation(d['c_0101_7']), 'c_1001_2' : d['c_0011_10'], 'c_1001_9' : negation(d['c_0110_12']), 'c_1001_8' : d['c_0011_11'], 'c_1010_12' : d['c_0011_11'], 'c_1010_11' : d['c_0011_9'], 'c_1010_10' : negation(d['c_0101_7']), 's_3_11' : d['1'], 's_3_10' : 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_6']), 'c_0101_10' : negation(d['c_0011_7']), '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_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0101_4'], 'c_1100_4' : d['c_0110_12'], 'c_1100_7' : d['c_0011_3'], 'c_1100_6' : d['c_0011_3'], 'c_1100_1' : d['c_0101_4'], 'c_1100_0' : d['c_0101_6'], 'c_1100_3' : d['c_0101_6'], 'c_1100_2' : d['c_0011_3'], 's_0_10' : d['1'], 'c_1100_11' : negation(d['c_0011_6']), 'c_1100_10' : d['c_0110_12'], 's_0_11' : d['1'], 'c_1010_7' : d['c_0011_10'], 'c_1010_6' : negation(d['c_0101_0']), 'c_1010_5' : d['c_0011_6'], 'c_1010_4' : negation(d['c_0011_7']), 'c_1010_3' : negation(d['c_0011_9']), 'c_1010_2' : negation(d['c_0011_9']), 'c_1010_1' : d['c_0011_12'], 'c_1010_0' : d['c_0011_10'], 'c_1010_9' : d['c_0011_12'], 'c_1010_8' : negation(d['c_0101_7']), 'c_1100_8' : d['c_0101_6'], '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_0110_12'], '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_9'], 'c_0011_8' : negation(d['c_0011_12']), 'c_0011_5' : negation(d['c_0011_11']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : d['c_0011_7'], '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_0'], 'c_0110_10' : negation(d['c_0011_9']), 'c_0110_12' : d['c_0110_12'], 'c_0101_12' : negation(d['c_0011_9']), 'c_0110_0' : negation(d['c_0011_0']), 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0011_11']), 'c_0101_2' : d['c_0011_10'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_11']), 'c_0101_8' : negation(d['c_0011_6']), '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' : negation(d['c_0011_11']), 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_0110_12'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_6'], 'c_0110_5' : negation(d['c_0011_6']), 'c_0110_4' : negation(d['c_0011_7']), 'c_0110_7' : d['c_0011_10'], 'c_0110_6' : d['c_0011_11']})} 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_3, c_0011_6, c_0011_7, c_0011_9, c_0101_0, c_0101_4, c_0101_6, c_0101_7, c_0110_12 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t - 39543432458952086858121033057799/11072919150151327912548493760*c_01\ 10_12^12 - 156905101705637128829623147671181/1107291915015132791254\ 8493760*c_0110_12^11 - 52150614071812467295212367883857/13841148937\ 68915989068561720*c_0110_12^10 - 544181741514640215886295842917407/\ 11072919150151327912548493760*c_0110_12^9 - 2793258436617577781541865135059/51501949535587571686272064*c_0110_1\ 2^8 + 50083473871354209889582485682921/1107291915015132791254849376\ 0*c_0110_12^7 - 29628922758477595495289132872719/276822978753783197\ 8137123440*c_0110_12^6 + 36737207698743127508225963891819/276822978\ 7537831978137123440*c_0110_12^5 - 111262239335803446080207359687/27\ 68229787537831978137123440*c_0110_12^4 - 1204299920223163785191350458941/692057446884457994534280860*c_0110_\ 12^3 - 28743213231043244399677433581/51501949535587571686272064*c_0\ 110_12^2 + 5283964701603186881310747065401/110729191501513279125484\ 93760*c_0110_12 - 808013063646438166804638831019/110729191501513279\ 12548493760, c_0011_0 - 1, c_0011_10 - 128966527886569531599/464711316697919696*c_0110_12^12 - 437643091821099979981/464711316697919696*c_0110_12^11 - 128871879677959526789/58088914587239962*c_0110_12^10 - 845360478840365226711/464711316697919696*c_0110_12^9 - 536575958191557519989/464711316697919696*c_0110_12^8 + 1850873565060691845937/464711316697919696*c_0110_12^7 + 41129481319557373419/116177829174479924*c_0110_12^6 + 193623344221812316257/116177829174479924*c_0110_12^5 - 37291588820267704225/116177829174479924*c_0110_12^4 - 22195836199953933321/58088914587239962*c_0110_12^3 - 9403339225719583483/464711316697919696*c_0110_12^2 + 39950938328269082849/464711316697919696*c_0110_12 - 7042857566925526715/464711316697919696, c_0011_11 + 1398108907052750711/232355658348959848*c_0110_12^12 + 3975519910203259951/232355658348959848*c_0110_12^11 + 1033075200312801582/29044457293619981*c_0110_12^10 + 1924825781419746383/232355658348959848*c_0110_12^9 - 1826509791257255633/232355658348959848*c_0110_12^8 - 25650889845450411769/232355658348959848*c_0110_12^7 + 3917806353122598883/116177829174479924*c_0110_12^6 - 1575815807053523849/116177829174479924*c_0110_12^5 + 3869056585756586151/116177829174479924*c_0110_12^4 + 1261723405287278497/116177829174479924*c_0110_12^3 - 658244865642591427/232355658348959848*c_0110_12^2 - 1184739913237442613/232355658348959848*c_0110_12 + 172602462767416153/232355658348959848, c_0011_12 + 4361791248930483837/58088914587239962*c_0110_12^12 + 6673735344195076063/29044457293619981*c_0110_12^11 + 14777334709737325925/29044457293619981*c_0110_12^10 + 15584762884253022609/58088914587239962*c_0110_12^9 + 2620631617323931231/29044457293619981*c_0110_12^8 - 71965309266002083155/58088914587239962*c_0110_12^7 + 12915680697117456937/58088914587239962*c_0110_12^6 - 19480318247997344461/58088914587239962*c_0110_12^5 + 15452909623684380559/58088914587239962*c_0110_12^4 + 7001907014573808397/58088914587239962*c_0110_12^3 - 724006143750761785/29044457293619981*c_0110_12^2 - 1896485762384977163/58088914587239962*c_0110_12 + 284908654766898375/29044457293619981, c_0011_3 + 2339888849357415237/464711316697919696*c_0110_12^12 - 163631105738416765/464711316697919696*c_0110_12^11 - 1278717508829127151/58088914587239962*c_0110_12^10 - 54213024340936062547/464711316697919696*c_0110_12^9 - 54360109740130116437/464711316697919696*c_0110_12^8 - 75314916880176764251/464711316697919696*c_0110_12^7 + 6839904122794365325/29044457293619981*c_0110_12^6 + 2354550086199850407/58088914587239962*c_0110_12^5 + 3302432788778097579/29044457293619981*c_0110_12^4 + 136517479294564367/116177829174479924*c_0110_12^3 - 14428271990162648099/464711316697919696*c_0110_12^2 - 3999756237549894467/464711316697919696*c_0110_12 + 2444106215934179861/464711316697919696, c_0011_6 - 131762745700675033021/464711316697919696*c_0110_12^12 - 445594131641506499883/464711316697919696*c_0110_12^11 - 130938030078585129953/58088914587239962*c_0110_12^10 - 849210130403204719477/464711316697919696*c_0110_12^9 - 532922938609043008723/464711316697919696*c_0110_12^8 + 1902175344751592669475/464711316697919696*c_0110_12^7 + 9302918741608693634/29044457293619981*c_0110_12^6 + 97599580014432920053/58088914587239962*c_0110_12^5 - 10290161351506072594/29044457293619981*c_0110_12^4 - 45653395805195145139/116177829174479924*c_0110_12^3 - 8086849494434400629/464711316697919696*c_0110_12^2 + 42320418154743968075/464711316697919696*c_0110_12 - 7388062492460359021/464711316697919696, c_0011_7 + 2799688676155/5657414193688*c_0110_12^12 + 13000873391697/5657414193688*c_0110_12^11 + 3952150039324/707176774211*c_0110_12^10 + 37870499244571/5657414193688*c_0110_12^9 + 15488108404601/5657414193688*c_0110_12^8 - 37152141876325/5657414193688*c_0110_12^7 - 14108911753351/1414353548422*c_0110_12^6 + 6667979507511/1414353548422*c_0110_12^5 - 3832724351775/1414353548422*c_0110_12^4 + 2806841662950/707176774211*c_0110_12^3 - 8710074124281/5657414193688*c_0110_12^2 - 4504653071053/5657414193688*c_0110_12 - 1474066111265/5657414193688, c_0011_9 - 502769184507545641/3467994900730744*c_0110_12^12 - 1614378887323551277/3467994900730744*c_0110_12^11 - 460295850480061137/433499362591343*c_0110_12^10 - 2470199503773594657/3467994900730744*c_0110_12^9 - 1266635271213786789/3467994900730744*c_0110_12^8 + 7813761069840766287/3467994900730744*c_0110_12^7 - 259535009028691675/1733997450365372*c_0110_12^6 + 1287255599936764205/1733997450365372*c_0110_12^5 - 616010269446818175/1733997450365372*c_0110_12^4 - 382338173771434761/1733997450365372*c_0110_12^3 + 77093950247419713/3467994900730744*c_0110_12^2 + 193047094314390795/3467994900730744*c_0110_12 - 48243225345252379/3467994900730744, c_0101_0 - 1, c_0101_4 + 17332178982103573343/232355658348959848*c_0110_12^12 + 52855923882490221017/232355658348959848*c_0110_12^11 + 14615015955472249921/29044457293619981*c_0110_12^10 + 60783672262538314895/232355658348959848*c_0110_12^9 + 20328940838306082177/232355658348959848*c_0110_12^8 - 286335361445005788545/232355658348959848*c_0110_12^7 + 6747573905869667929/29044457293619981*c_0110_12^6 - 9877089417175164371/29044457293619981*c_0110_12^5 + 7805161722768065792/29044457293619981*c_0110_12^4 + 6771347426695769497/58088914587239962*c_0110_12^3 - 5434317695647749329/232355658348959848*c_0110_12^2 - 7400932443258690889/232355658348959848*c_0110_12 + 2339810607390951815/232355658348959848, c_0101_6 - 61595457162558415705/464711316697919696*c_0110_12^12 - 221316320919744108863/464711316697919696*c_0110_12^11 - 67192235713631334431/58088914587239962*c_0110_12^10 - 514353745334703542673/464711316697919696*c_0110_12^9 - 366846831848910090263/464711316697919696*c_0110_12^8 + 803829581702029163479/464711316697919696*c_0110_12^7 + 14629581731119928911/29044457293619981*c_0110_12^6 + 53688609513024557261/58088914587239962*c_0110_12^5 + 995274808167278375/29044457293619981*c_0110_12^4 - 18775014757221737655/116177829174479924*c_0110_12^3 - 19733928558873825025/464711316697919696*c_0110_12^2 + 14082627690140716319/464711316697919696*c_0110_12 - 578265370661707929/464711316697919696, c_0101_7 - 142401325684419740673/464711316697919696*c_0110_12^12 - 469935721436109410471/464711316697919696*c_0110_12^11 - 136160250984659318837/58088914587239962*c_0110_12^10 - 812864236574773033721/464711316697919696*c_0110_12^9 - 470733526447316063679/464711316697919696*c_0110_12^8 + 2132082107233113586671/464711316697919696*c_0110_12^7 + 899448339932143759/29044457293619981*c_0110_12^6 + 98363620281680207503/58088914587239962*c_0110_12^5 - 16202657886982639134/29044457293619981*c_0110_12^4 - 51823001002105458747/116177829174479924*c_0110_12^3 + 5431862387990615975/464711316697919696*c_0110_12^2 + 49974043412575420759/464711316697919696*c_0110_12 - 10851423635693176497/464711316697919696, c_0110_12^13 + 150/49*c_0110_12^12 + 337/49*c_0110_12^11 + 193/49*c_0110_12^10 + 102/49*c_0110_12^9 - 766/49*c_0110_12^8 + 25/7*c_0110_12^7 - 40/7*c_0110_12^6 + 152/49*c_0110_12^5 + 44/49*c_0110_12^4 - 19/49*c_0110_12^3 - 16/49*c_0110_12^2 + 8/49*c_0110_12 - 1/49 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.770 Total time: 0.980 seconds, Total memory usage: 32.09MB