Magma V2.19-8 Wed Aug 21 2013 00:57:37 on localhost [Seed = 1764717528] Type ? for help. Type -D to quit. Loading file "L13n4382__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n4382 geometric_solution 12.22608792 oriented_manifold CS_known 0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 1 2 3 0132 1230 0132 0132 1 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 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 0.131679355389 0.908888118528 0 4 0 5 0132 0132 3012 0132 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 -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 0.843873973020 1.077625953560 6 7 8 0 0132 0132 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 -0.074773745851 0.927177016780 9 9 0 5 0132 1302 0132 2031 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 0 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 0.511650367393 0.554671282138 10 1 9 10 0132 0132 1023 2031 1 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 -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 0.080692954400 0.661414216572 11 3 1 8 0132 1302 0132 1302 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 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 0.987245396905 0.885980321249 2 11 11 12 0132 0213 0132 0132 1 1 1 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 0 0 0 0 1 0 -1 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 0.588754324600 0.959592547672 8 2 12 12 1230 0132 1302 2031 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 -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 1.040728986015 1.380055337902 12 7 5 2 3201 3012 2031 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 0.934832681159 1.007667297831 3 10 4 3 0132 1230 1023 2031 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 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.894174808277 1.015610649105 4 4 9 11 0132 1302 3012 2031 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 -1 0 1 1 0 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 0.818250973439 1.489738365762 5 10 6 6 0132 1302 0213 0132 1 1 1 1 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 -1 0 -1 0 1 0 0 -1 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.535481043707 0.757105145707 7 7 6 8 2031 1302 0132 2310 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 -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 0.880761613734 0.902975136385 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_4'], 'c_1001_10' : d['c_0011_3'], 'c_1001_12' : d['c_0011_8'], 'c_1001_5' : d['c_0101_9'], 'c_1001_4' : d['c_0101_9'], 'c_1001_7' : negation(d['c_0101_8']), 'c_1001_6' : d['c_0101_4'], 'c_1001_1' : negation(d['c_0011_0']), 'c_1001_0' : negation(d['c_0101_8']), 'c_1001_3' : d['c_0101_1'], 'c_1001_2' : d['c_0011_12'], 'c_1001_9' : d['c_0101_4'], 'c_1001_8' : d['c_0011_2'], 'c_1010_12' : negation(d['c_0101_12']), 'c_1010_11' : d['c_0101_4'], 'c_1010_10' : d['c_0011_11'], 's_0_10' : d['1'], 's_3_10' : 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' : negation(d['c_0011_2']), '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' : 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' : negation(d['c_0011_0']), 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0101_8'], 'c_1100_4' : negation(d['c_0011_11']), 'c_1100_7' : d['c_0101_12'], 'c_1100_6' : d['c_0011_8'], 'c_1100_1' : d['c_0101_8'], 'c_1100_0' : negation(d['c_1010_5']), 'c_1100_3' : negation(d['c_1010_5']), 'c_1100_2' : negation(d['c_1010_5']), 's_3_11' : d['1'], 'c_1100_9' : d['c_0011_11'], 'c_1100_11' : d['c_0011_8'], 'c_1100_10' : negation(d['c_0101_4']), 's_0_11' : d['1'], 'c_1010_7' : d['c_0011_12'], 'c_1010_6' : d['c_0011_8'], 'c_1010_5' : d['c_1010_5'], 'c_1010_4' : negation(d['c_0011_0']), 'c_1010_3' : negation(d['c_0011_11']), 'c_1010_2' : negation(d['c_0101_8']), 'c_1010_1' : d['c_0101_9'], 'c_1010_0' : d['c_0101_1'], 'c_1010_9' : d['c_0011_3'], 'c_1010_8' : d['c_0011_12'], 'c_1100_8' : negation(d['c_1010_5']), '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_0011_8'], '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' : negation(d['c_0011_3']), 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : negation(d['c_0011_11']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_2']), 'c_0011_6' : negation(d['c_0011_2']), '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' : d['c_0011_2'], 'c_0110_11' : d['c_0101_0'], 'c_0110_10' : d['c_0101_4'], 'c_0110_12' : negation(d['c_0101_8']), 'c_0101_7' : negation(d['c_0011_12']), 'c_0101_6' : d['c_0101_0'], '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_12'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : d['c_0101_8'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_1'], 'c_0110_8' : d['c_0101_12'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_9'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : negation(d['c_0011_2']), 'c_0110_4' : d['c_0011_3'], 'c_0110_7' : d['c_0011_8'], 'c_0110_6' : d['c_0101_12'], '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_11, c_0011_12, c_0011_2, c_0011_3, c_0011_8, c_0101_0, c_0101_1, c_0101_12, c_0101_4, c_0101_8, c_0101_9, c_1010_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t + 16432024007946421581221174451005/588980197517024346663940263*c_1010\ _5^12 - 129070505674301131288776763567846/5889801975170243466639402\ 63*c_1010_5^11 + 1225684032101401542658055546260933/117796039503404\ 8693327880526*c_1010_5^10 - 3022892194198249972760513279571709/1177\ 960395034048693327880526*c_1010_5^9 + 13896291656774659819599829361222825/2355920790068097386655761052*c_\ 1010_5^8 - 42561171755424379574095437985597795/47118415801361947733\ 11522104*c_1010_5^7 + 41204790272696225747811373782557891/471184158\ 0136194773311522104*c_1010_5^6 - 2506213770724557937901698783674937\ 9/2355920790068097386655761052*c_1010_5^5 + 19865281629254226468400014514962443/4711841580136194773311522104*c_\ 1010_5^4 - 2920444695417134767690263977601259/471184158013619477331\ 1522104*c_1010_5^3 + 588345330805478073826171399289/117796039503404\ 8693327880526*c_1010_5^2 + 72152786002566675153600702966499/4711841\ 580136194773311522104*c_1010_5 - 11241718232469918404948467957153/4\ 711841580136194773311522104, c_0011_0 - 1, c_0011_11 + 2934801929692809739901220/182290373728574542452473*c_1010_5\ ^12 - 22427225143110622867743984/182290373728574542452473*c_1010_5^\ 11 + 104251783301554973685771698/182290373728574542452473*c_1010_5^\ 10 - 244308694607786134744818078/182290373728574542452473*c_1010_5^\ 9 + 551865088660830476846389497/182290373728574542452473*c_1010_5^8 - 1580416174215614481886862035/364580747457149084904946*c_1010_5^7 + 1306734397168058111075289953/364580747457149084904946*c_1010_5^6 - 823195501781605218530589096/182290373728574542452473*c_1010_5^5 + 210806012227006242905374187/364580747457149084904946*c_1010_5^4 + 298148571338539070228617081/364580747457149084904946*c_1010_5^3 - 67662578759151491267935928/182290373728574542452473*c_1010_5^2 + 25790367278986456067850069/364580747457149084904946*c_1010_5 - 2456149896562341150308005/364580747457149084904946, c_0011_12 - 11067992175975675589048700/182290373728574542452473*c_1010_\ 5^12 + 90906491658030281698398760/182290373728574542452473*c_1010_5\ ^11 - 444759615282544566826679574/182290373728574542452473*c_1010_5\ ^10 + 1172380654098937248247510054/182290373728574542452473*c_1010_\ 5^9 - 2735154460801010788260649287/182290373728574542452473*c_1010_\ 5^8 + 8995714368887566118253657953/364580747457149084904946*c_1010_\ 5^7 - 9855974352350708087664892453/364580747457149084904946*c_1010_\ 5^6 + 5734909769363810574728846258/182290373728574542452473*c_1010_\ 5^5 - 6914446874958110241575434021/364580747457149084904946*c_1010_\ 5^4 + 2345032791971208029938488679/364580747457149084904946*c_1010_\ 5^3 - 236308257118117099996742851/182290373728574542452473*c_1010_5\ ^2 + 57006096801255305553568819/364580747457149084904946*c_1010_5 - 3173360373878789763152159/364580747457149084904946, c_0011_2 + 4780341834083347997987970/182290373728574542452473*c_1010_5^\ 12 - 36051462999258394155015004/182290373728574542452473*c_1010_5^1\ 1 + 166306293445111937304863777/182290373728574542452473*c_1010_5^1\ 0 - 382109302648523018689615577/182290373728574542452473*c_1010_5^9 + 1728994162950601902330724357/364580747457149084904946*c_1010_5^8 - 4838626142255672765158705087/729161494914298169809892*c_1010_5^7 + 3855285090380771585244622599/729161494914298169809892*c_1010_5^6 - 2548794913313499224152951637/364580747457149084904946*c_1010_5^5 + 279356938740599609171371159/729161494914298169809892*c_1010_5^4 + 867858593814176185000459809/729161494914298169809892*c_1010_5^3 - 81979386114330717081464518/182290373728574542452473*c_1010_5^2 + 62512231408824155151145071/729161494914298169809892*c_1010_5 - 4794685311748412670806533/729161494914298169809892, c_0011_3 + 11198589229716591830448175/182290373728574542452473*c_1010_5\ ^12 - 90961194542044276038731350/182290373728574542452473*c_1010_5^\ 11 + 882639363425738435631848351/364580747457149084904946*c_1010_5^\ 10 - 2285702868726037577685515803/364580747457149084904946*c_1010_5\ ^9 + 10593021611160993299175981011/729161494914298169809892*c_1010_\ 5^8 - 34186056812313654329293866169/1458322989828596339619784*c_101\ 0_5^7 + 36101500756649218890827397509/1458322989828596339619784*c_1\ 010_5^6 - 21059884114191946373022296273/729161494914298169809892*c_\ 1010_5^5 + 23195344651979057080567089777/1458322989828596339619784*\ c_1010_5^4 - 6175178459296132431642679037/1458322989828596339619784\ *c_1010_5^3 + 236819768711394632683458913/364580747457149084904946*\ c_1010_5^2 - 71522860663208398267170567/1458322989828596339619784*c\ _1010_5 - 46127539880485132421687/1458322989828596339619784, c_0011_8 - 7191691427665104559871930/182290373728574542452473*c_1010_5^\ 12 + 55402381081457770495780636/182290373728574542452473*c_1010_5^1\ 1 - 259601440955914515446346765/182290373728574542452473*c_1010_5^1\ 0 + 620311034514856965717814245/182290373728574542452473*c_1010_5^9 - 2834565349470202687122367441/364580747457149084904946*c_1010_5^8 + 8360325564494700213238914371/729161494914298169809892*c_1010_5^7 - 7529814864078750796629357427/729161494914298169809892*c_1010_5^6 + 4737234364415879911496899885/364580747457149084904946*c_1010_5^5 - 2545199460930876924041502391/729161494914298169809892*c_1010_5^4 - 182127056482110661329855705/729161494914298169809892*c_1010_5^3 + 49410186546473630770480051/182290373728574542452473*c_1010_5^2 - 44586992590615249621034747/729161494914298169809892*c_1010_5 + 4001730433538073370442289/729161494914298169809892, c_0101_0 - 1, c_0101_1 - 7310335971156099244046685/182290373728574542452473*c_1010_5^\ 12 + 57018558562516383594374722/182290373728574542452473*c_1010_5^1\ 1 - 539228884250365012834141469/364580747457149084904946*c_1010_5^1\ 0 + 1316839153494533171544399761/364580747457149084904946*c_1010_5^\ 9 - 6053080562106607451704883033/729161494914298169809892*c_1010_5^\ 8 + 18342713438923298816881612827/1458322989828596339619784*c_1010_\ 5^7 - 17492593105339189084795195599/1458322989828596339619784*c_101\ 0_5^6 + 10792250731899218487706823247/729161494914298169809892*c_10\ 10_5^5 - 7868667651765264265727871203/1458322989828596339619784*c_1\ 010_5^4 + 1153430851677756146934195799/1458322989828596339619784*c_\ 1010_5^3 - 341521518455244996986293/364580747457149084904946*c_1010\ _5^2 - 28837647626080214319518723/1458322989828596339619784*c_1010_\ 5 + 3627441983062599225575317/1458322989828596339619784, c_0101_12 - 7758655770908257563421630/182290373728574542452473*c_1010_5\ ^12 + 64348235418864935778768116/182290373728574542452473*c_1010_5^\ 11 - 316751209010290132237737503/182290373728574542452473*c_1010_5^\ 10 + 845727078650752094065852071/182290373728574542452473*c_1010_5^\ 9 - 3955595481331825684972678603/364580747457149084904946*c_1010_5^\ 8 + 13170715167756445935064536737/729161494914298169809892*c_1010_5\ ^7 - 14698662178341572688169347937/729161494914298169809892*c_1010_\ 5^6 + 8489014313897826683883177299/364580747457149084904946*c_1010_\ 5^5 - 10762469478394369893229440701/729161494914298169809892*c_1010\ _5^4 + 3805594069157023232110933245/729161494914298169809892*c_1010\ _5^3 - 196500362109457204855073154/182290373728574542452473*c_1010_\ 5^2 + 96354254190281100596263923/729161494914298169809892*c_1010_5 - 5593570781907114193165025/729161494914298169809892, c_0101_4 - 13155003322104241073321560/182290373728574542452473*c_1010_5\ ^12 + 105278902697389193838232512/182290373728574542452473*c_1010_5\ ^11 - 506491101997344713442650420/182290373728574542452473*c_1010_5\ ^10 + 1287122889259650689924855580/182290373728574542452473*c_1010_\ 5^9 - 2981571504924961855285784458/182290373728574542452473*c_1010_\ 5^8 + 4723616285732084842644818769/182290373728574542452473*c_1010_\ 5^7 - 4875323088737021489394400517/182290373728574542452473*c_1010_\ 5^6 + 5814093214138224089988835729/182290373728574542452473*c_1010_\ 5^5 - 2916584305509719662192840843/182290373728574542452473*c_1010_\ 5^4 + 811627783486500685755661466/182290373728574542452473*c_1010_5\ ^3 - 140858402584270982367450976/182290373728574542452473*c_1010_5^\ 2 + 13855328950922638993005955/182290373728574542452473*c_1010_5 - 547161337372385752959418/182290373728574542452473, c_0101_8 - 2556041154770061991984700/182290373728574542452473*c_1010_5^\ 12 + 22334320094674374654761560/182290373728574542452473*c_1010_5^1\ 1 - 113489228161575209889409734/182290373728574542452473*c_1010_5^1\ 0 + 322720778611495125470302302/182290373728574542452473*c_1010_5^9 - 764459533858728063490015415/182290373728574542452473*c_1010_5^8 + 2692387099516058561421515593/364580747457149084904946*c_1010_5^7 - 3255344265983496059406709617/364580747457149084904946*c_1010_5^6 + 1832224735539549153513884170/182290373728574542452473*c_1010_5^5 - 2797726439198585690518203673/364580747457149084904946*c_1010_5^4 + 1159501478548003889603379947/364580747457149084904946*c_1010_5^3 - 135865636712784769471715910/182290373728574542452473*c_1010_5^2 + 38224232869908111777020097/364580747457149084904946*c_1010_5 - 2366978671731456717789645/364580747457149084904946, c_0101_9 - 4504961399340100076767480/182290373728574542452473*c_1010_5^\ 12 + 35401621357960269838863816/182290373728574542452473*c_1010_5^1\ 1 - 168008421998808884151888084/182290373728574542452473*c_1010_5^1\ 0 + 413924441344550930791642816/182290373728574542452473*c_1010_5^9 - 948926784117478932541470526/182290373728574542452473*c_1010_5^8 + 1449520928405708309461164807/182290373728574542452473*c_1010_5^7 - 1388667312333933107075013892/182290373728574542452473*c_1010_5^6 + 1678519644269684293438405392/182290373728574542452473*c_1010_5^5 - 643281898315408976326065017/182290373728574542452473*c_1010_5^4 + 50014689909261693013741654/182290373728574542452473*c_1010_5^3 + 21991289110662844131530069/182290373728574542452473*c_1010_5^2 - 6370240494790484725988222/182290373728574542452473*c_1010_5 + 689262329931475908981569/182290373728574542452473, c_1010_5^13 - 41/5*c_1010_5^12 + 401/10*c_1010_5^11 - 528/5*c_1010_5^10 + 987/4*c_1010_5^9 - 16233/40*c_1010_5^8 + 2231/5*c_1010_5^7 - 20907/40*c_1010_5^6 + 12669/40*c_1010_5^5 - 574/5*c_1010_5^4 + 221/8*c_1010_5^3 - 177/40*c_1010_5^2 + 9/20*c_1010_5 - 1/40 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.820 Total time: 1.020 seconds, Total memory usage: 32.09MB