Magma V2.19-8 Tue Aug 20 2013 23:56:17 on localhost [Seed = 3398214366] Type ? for help. Type -D to quit. Loading file "L14n16051__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n16051 geometric_solution 11.70105261 oriented_manifold CS_known -0.0000000000000003 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 1 3 0132 0132 0321 0132 1 1 1 1 0 0 0 0 0 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 1 0 -1 0 0 -3 3 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.657175434054 0.971958315951 0 4 0 5 0132 0132 0321 0132 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 -3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.657175434054 0.971958315951 6 0 8 7 0132 0132 0132 0132 1 1 1 1 0 0 0 0 0 0 1 -1 -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 -1 0 1 0 0 2 -2 -2 0 0 2 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.408776934613 0.718049672422 5 9 0 7 0321 0132 0132 2310 1 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 1 -1 3 0 -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 0.647527207182 1.125148723624 10 1 11 10 0132 0132 0132 2103 1 0 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 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 0.408776934613 0.718049672422 3 8 1 6 0321 0213 0132 1023 1 1 1 1 0 0 0 0 0 0 0 0 0 -1 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 0 -3 0 3 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.522996697098 0.389950974283 2 10 7 5 0132 0132 3012 1023 1 1 1 1 0 1 -1 0 0 0 0 0 1 0 0 -1 1 0 -1 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 3 0 0 -3 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.501435562633 1.186199706573 3 6 2 8 3201 1230 0132 1230 1 1 1 1 0 0 0 0 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 -1 1 0 0 2 -2 1 2 0 -3 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.467774692766 0.447236367992 7 11 5 2 3012 0132 0213 0132 1 1 1 1 0 0 0 0 0 0 1 -1 1 -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 -1 0 3 -2 2 -2 0 0 3 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.456781514406 0.924891545229 10 3 11 11 2103 0132 2103 0132 1 0 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 -1 0 0 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 0.472154225641 0.803896522155 4 6 9 4 0132 0132 2103 2103 1 0 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 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 0.408776934613 0.718049672422 9 8 9 4 2103 0132 0132 0132 1 0 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 0 0 0 -1 1 0 0 0 0 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.456781514406 0.924891545229 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_11'], 'c_1001_10' : negation(d['c_0011_3']), 'c_1001_5' : d['c_1001_4'], 'c_1001_4' : d['c_1001_4'], 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : negation(d['c_0011_7']), 'c_1001_1' : d['c_0011_7'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_11'], 'c_1001_2' : d['c_1001_11'], 'c_1001_9' : d['c_0011_11'], 'c_1001_8' : d['c_1001_4'], 'c_1010_11' : d['c_1001_4'], 'c_1010_10' : negation(d['c_0011_7']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_10'], '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' : negation(d['1']), 's_2_4' : d['1'], 's_2_5' : negation(d['1']), 's_2_6' : d['1'], 's_2_7' : 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' : negation(d['1']), 's_0_2' : d['1'], 's_0_3' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_0011_11' : d['c_0011_11'], 'c_1100_8' : d['c_0101_2'], 'c_1100_5' : d['c_1001_0'], 'c_1100_4' : negation(d['c_0101_4']), 'c_1100_7' : d['c_0101_2'], 'c_1100_6' : negation(d['c_1001_0']), 'c_1100_1' : d['c_1001_0'], 'c_1100_0' : d['c_0011_7'], 'c_1100_3' : d['c_0011_7'], 'c_1100_2' : d['c_0101_2'], 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0101_4']), 'c_1100_10' : negation(d['c_0101_10']), 's_0_11' : d['1'], 'c_1010_7' : d['c_0011_5'], 'c_1010_6' : negation(d['c_0011_3']), 'c_1010_5' : d['c_0101_2'], 'c_1010_4' : d['c_0011_7'], 'c_1010_3' : d['c_0011_11'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_4'], 'c_1010_0' : d['c_1001_11'], 'c_1010_9' : d['c_1001_11'], 'c_1010_8' : d['c_1001_11'], 's_3_1' : negation(d['1']), 's_3_0' : negation(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'], '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' : negation(d['c_0011_11']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : d['c_0011_7'], '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' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_4'], 'c_0110_10' : d['c_0101_4'], 'c_0110_0' : negation(d['c_0101_0']), 'c_0101_7' : d['c_0011_5'], 'c_0101_6' : d['c_0011_5'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0101_0']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0101_0']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_10'], 'c_0101_8' : d['c_0011_5'], 'c_0011_10' : negation(d['c_0011_0']), 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_10'], 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_0101_4']), 'c_0110_3' : negation(d['c_0011_5']), 'c_0110_2' : d['c_0011_5'], 'c_0110_5' : negation(d['c_0011_3']), 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : negation(d['c_0011_11']), 'c_0110_6' : d['c_0101_2']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_11, c_0011_3, c_0011_5, c_0011_7, c_0101_0, c_0101_10, c_0101_2, c_0101_4, c_1001_0, c_1001_11, c_1001_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 9568349821044092/26717132454453*c_1001_4^9 - 259717315683083351/133585662272265*c_1001_4^8 - 11875228260906733/1272244402593*c_1001_4^7 - 693714354341130391/44528554090755*c_1001_4^6 - 189169753746538378/14842851363585*c_1001_4^5 - 35396524919124310/2968570272717*c_1001_4^4 - 2268166814931675898/133585662272265*c_1001_4^3 - 2406606776189449096/133585662272265*c_1001_4^2 - 1314255309151379983/133585662272265*c_1001_4 - 31776116625537839/26717132454453, c_0011_0 - 1, c_0011_11 - 36462983574/47120163059*c_1001_4^9 - 973297250482/235600815295*c_1001_4^8 - 4689217358571/235600815295*c_1001_4^7 - 7616891168556/235600815295*c_1001_4^6 - 6334666665792/235600815295*c_1001_4^5 - 5987764036197/235600815295*c_1001_4^4 - 8415247078931/235600815295*c_1001_4^3 - 1792049158369/47120163059*c_1001_4^2 - 5122454873022/235600815295*c_1001_4 - 533587266708/235600815295, c_0011_3 - 132342959341/47120163059*c_1001_4^9 - 3579446996258/235600815295*c_1001_4^8 - 17198426861151/235600815295*c_1001_4^7 - 28542778967609/235600815295*c_1001_4^6 - 23436767559909/235600815295*c_1001_4^5 - 21949444394502/235600815295*c_1001_4^4 - 31114467969404/235600815295*c_1001_4^3 - 33092427645191/235600815295*c_1001_4^2 - 3594689812624/47120163059*c_1001_4 - 2162480072838/235600815295, c_0011_5 - 91109113239/47120163059*c_1001_4^9 - 2503263332267/235600815295*c_1001_4^8 - 2402988080009/47120163059*c_1001_4^7 - 20502334100511/235600815295*c_1001_4^6 - 17024798351854/235600815295*c_1001_4^5 - 3131988910773/47120163059*c_1001_4^4 - 22176383232996/235600815295*c_1001_4^3 - 24000681787647/235600815295*c_1001_4^2 - 13426663989211/235600815295*c_1001_4 - 345334332860/47120163059, c_0011_7 + 36462983574/47120163059*c_1001_4^9 + 973297250482/235600815295*c_1001_4^8 + 4689217358571/235600815295*c_1001_4^7 + 7616891168556/235600815295*c_1001_4^6 + 6334666665792/235600815295*c_1001_4^5 + 5987764036197/235600815295*c_1001_4^4 + 8415247078931/235600815295*c_1001_4^3 + 1792049158369/47120163059*c_1001_4^2 + 4886854057727/235600815295*c_1001_4 + 769188082003/235600815295, c_0101_0 - 33830841697/47120163059*c_1001_4^9 - 888247130666/235600815295*c_1001_4^8 - 852511138528/47120163059*c_1001_4^7 - 6649660991798/235600815295*c_1001_4^6 - 5082513551827/235600815295*c_1001_4^5 - 987960094274/47120163059*c_1001_4^4 - 7364780129433/235600815295*c_1001_4^3 - 7396578637771/235600815295*c_1001_4^2 - 3624727421433/235600815295*c_1001_4 - 29611729921/47120163059, c_0101_10 - 177862422236/47120163059*c_1001_4^9 - 4797832904738/235600815295*c_1001_4^8 - 23038129751378/235600815295*c_1001_4^7 - 37997763978069/235600815295*c_1001_4^6 - 6160278406884/47120163059*c_1001_4^5 - 28882092936936/235600815295*c_1001_4^4 - 41323640278579/235600815295*c_1001_4^3 - 43698442636217/235600815295*c_1001_4^2 - 23410715055107/235600815295*c_1001_4 - 2405505253949/235600815295, c_0101_2 + 38331494283/47120163059*c_1001_4^9 + 1034611647319/235600815295*c_1001_4^8 + 4972691253512/235600815295*c_1001_4^7 + 8231041956457/235600815295*c_1001_4^6 + 6770179948849/235600815295*c_1001_4^5 + 6420769965519/235600815295*c_1001_4^4 + 8800006288802/235600815295*c_1001_4^3 + 1904567007403/47120163059*c_1001_4^2 + 5243936887869/235600815295*c_1001_4 + 630950296396/235600815295, c_0101_4 - 1, c_1001_0 + 36462983574/47120163059*c_1001_4^9 + 973297250482/235600815295*c_1001_4^8 + 4689217358571/235600815295*c_1001_4^7 + 7616891168556/235600815295*c_1001_4^6 + 6334666665792/235600815295*c_1001_4^5 + 5987764036197/235600815295*c_1001_4^4 + 8415247078931/235600815295*c_1001_4^3 + 1792049158369/47120163059*c_1001_4^2 + 4886854057727/235600815295*c_1001_4 + 769188082003/235600815295, c_1001_11 - c_1001_4, c_1001_4^10 + 28/5*c_1001_4^9 + 27*c_1001_4^8 + 48*c_1001_4^7 + 216/5*c_1001_4^6 + 198/5*c_1001_4^5 + 266/5*c_1001_4^4 + 293/5*c_1001_4^3 + 182/5*c_1001_4^2 + 41/5*c_1001_4 + 3/5 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.140 Total time: 0.360 seconds, Total memory usage: 32.09MB