Magma V2.19-8 Wed Aug 21 2013 00:54:25 on localhost [Seed = 2050777122] Type ? for help. Type -D to quit. Loading file "L12n231__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n231 geometric_solution 12.12112015 oriented_manifold CS_known -0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 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 -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 0.693952263959 0.869120547495 0 5 3 6 0132 0132 3012 0132 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 -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 0.577320350050 0.652876042353 4 0 7 4 3201 0132 0132 1230 0 1 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 0 0 0 0 1 0 -1 -2 0 -1 3 -1 0 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.548377809014 0.964759323440 8 1 5 0 0132 1230 3201 0132 0 0 0 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 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 0.577320350050 0.652876042353 2 9 0 2 3012 0132 0132 2310 0 0 1 0 0 0 0 0 1 0 -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 -1 1 1 0 0 -1 -3 1 0 2 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.548377809014 0.964759323440 3 1 10 11 2310 0132 0132 0132 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.667777822528 0.548732366083 8 12 1 7 2103 0132 0132 3012 1 0 1 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 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 0.984147828143 1.508019929056 11 10 6 2 1230 2031 1230 0132 0 1 0 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 0 0 0 0 0 -1 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 1.000000000000 1.000000000000 3 10 6 11 0132 0213 2103 2310 1 0 1 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 -1 1 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 0.640818478883 0.446593321980 12 4 12 10 0321 0132 2031 2031 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 -1 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.435346693328 0.760296822644 7 9 8 5 1302 1302 0213 0132 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 -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 0.760296822644 0.564653306672 8 7 5 12 3201 3012 0132 0132 1 1 1 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 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 1.423344765620 0.557683405453 9 6 11 9 0321 0132 0132 1302 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 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 0.432830680084 0.990514085537 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : negation(d['c_0011_11']), 'c_1001_11' : negation(d['c_0011_3']), 'c_1001_10' : negation(d['c_0011_12']), 'c_1001_12' : negation(d['c_0101_7']), 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : d['c_0011_10'], 'c_1001_7' : negation(d['c_0101_5']), 'c_1001_6' : d['c_1001_5'], 'c_1001_1' : negation(d['c_0011_3']), 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : negation(d['c_0101_5']), 'c_1001_2' : d['c_0011_10'], 'c_1001_9' : negation(d['c_0011_4']), 'c_1001_8' : negation(d['c_0011_12']), 'c_1010_12' : d['c_1001_5'], 'c_1010_11' : negation(d['c_0101_7']), 'c_1010_10' : d['c_1001_5'], 's_3_11' : d['1'], 's_3_10' : 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' : negation(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' : negation(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' : negation(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' : negation(d['c_1001_5']), 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0101_12']), 'c_1100_4' : negation(d['c_0011_0']), 'c_1100_7' : negation(d['c_0011_11']), 'c_1100_6' : d['c_0101_5'], 'c_1100_1' : d['c_0101_5'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : negation(d['c_0011_11']), 's_0_10' : d['1'], 'c_1100_11' : negation(d['c_0101_12']), 'c_1100_10' : negation(d['c_0101_12']), 's_0_11' : d['1'], 'c_1010_7' : d['c_0011_10'], 'c_1010_6' : negation(d['c_0101_7']), 'c_1010_5' : negation(d['c_0011_3']), 'c_1010_4' : negation(d['c_0011_4']), 'c_1010_3' : d['c_0101_1'], 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : d['c_1001_5'], 'c_1010_0' : d['c_0011_10'], 'c_1010_9' : d['c_0011_10'], 'c_1010_8' : negation(d['c_0101_12']), 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : negation(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' : negation(d['1']), 's_3_8' : d['1'], 'c_1100_12' : negation(d['c_0101_12']), 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : negation(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' : negation(d['1']), 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_4']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_3'], 'c_0011_6' : negation(d['c_0011_12']), '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_12'], 'c_0110_10' : d['c_0101_5'], 'c_0110_12' : d['c_0011_4'], 'c_0101_12' : d['c_0101_12'], 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0101_11']), 'c_0101_2' : d['c_0011_11'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0101_12']), 'c_0101_8' : d['c_0101_0'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : negation(d['1']), 'c_0110_9' : negation(d['c_0011_12']), 'c_0110_8' : negation(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_0011_4'], 'c_0110_5' : d['c_0101_11'], 'c_0110_4' : negation(d['c_0011_11']), 'c_0110_7' : d['c_0011_11'], 'c_1100_8' : 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_4, c_0101_0, c_0101_1, c_0101_11, c_0101_12, c_0101_5, c_0101_7, c_1001_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t - 4396375540233213931/4975705507120081420*c_1001_5^13 - 39127555362709483/134478527219461660*c_1001_5^12 - 77862212122967759169/4975705507120081420*c_1001_5^11 - 681636641623828037/134478527219461660*c_1001_5^10 - 412560534047746102223/4975705507120081420*c_1001_5^9 - 23329259400427613829/4975705507120081420*c_1001_5^8 - 274088540425897115396/1243926376780020355*c_1001_5^7 - 185870138842276437257/4975705507120081420*c_1001_5^6 - 889322576406815503329/2487852753560040710*c_1001_5^5 - 271946675537855434601/2487852753560040710*c_1001_5^4 - 770412079578432288673/2487852753560040710*c_1001_5^3 - 91731096147402548313/995141101424016284*c_1001_5^2 - 505899671187226433751/4975705507120081420*c_1001_5 - 92202162759522817943/4975705507120081420, c_0011_0 - 1, c_0011_10 - 170485803586/1476812291011*c_1001_5^13 - 728378250446/1476812291011*c_1001_5^12 - 2733707006154/1476812291011*c_1001_5^11 - 12526752053066/1476812291011*c_1001_5^10 - 11305705778038/1476812291011*c_1001_5^9 - 57975641146020/1476812291011*c_1001_5^8 - 5655042912504/1476812291011*c_1001_5^7 - 158745276208037/1476812291011*c_1001_5^6 - 7984662668744/1476812291011*c_1001_5^5 - 233371293826586/1476812291011*c_1001_5^4 - 12516761125774/1476812291011*c_1001_5^3 - 158609756925969/1476812291011*c_1001_5^2 - 1239159293204/1476812291011*c_1001_5 - 939314971653/39913845703, c_0011_11 + 159968418783/1476812291011*c_1001_5^13 + 141879901315/1476812291011*c_1001_5^12 + 2746790916342/1476812291011*c_1001_5^11 + 2424214774398/1476812291011*c_1001_5^10 + 13589273324162/1476812291011*c_1001_5^9 + 7987741838329/1476812291011*c_1001_5^8 + 31420688784664/1476812291011*c_1001_5^7 + 26046457349818/1476812291011*c_1001_5^6 + 49103372204495/1476812291011*c_1001_5^5 + 43852448752527/1476812291011*c_1001_5^4 + 39397752602009/1476812291011*c_1001_5^3 + 29025673319516/1476812291011*c_1001_5^2 + 9835946650061/1476812291011*c_1001_5 + 149951057794/39913845703, c_0011_12 + 112578967451/1476812291011*c_1001_5^13 - 25111684593/1476812291011*c_1001_5^12 + 1873309568291/1476812291011*c_1001_5^11 - 396048328918/1476812291011*c_1001_5^10 + 8559224207911/1476812291011*c_1001_5^9 - 4284261390770/1476812291011*c_1001_5^8 + 20414449315392/1476812291011*c_1001_5^7 - 4400750280862/1476812291011*c_1001_5^6 + 25212742740440/1476812291011*c_1001_5^5 - 2654884991147/1476812291011*c_1001_5^4 + 12389196490413/1476812291011*c_1001_5^3 - 2875353767097/1476812291011*c_1001_5^2 + 1112376142659/1476812291011*c_1001_5 - 21737824165/39913845703, c_0011_3 + 1, c_0011_4 - 142360242319/1476812291011*c_1001_5^13 + 114628919703/1476812291011*c_1001_5^12 - 2471428837256/1476812291011*c_1001_5^11 + 1947056257617/1476812291011*c_1001_5^10 - 12519479444986/1476812291011*c_1001_5^9 + 12762734367045/1476812291011*c_1001_5^8 - 35406836192186/1476812291011*c_1001_5^7 + 26499064831376/1476812291011*c_1001_5^6 - 51288780900553/1476812291011*c_1001_5^5 + 29400994180794/1476812291011*c_1001_5^4 - 34527720165345/1476812291011*c_1001_5^3 + 16212050689585/1476812291011*c_1001_5^2 - 8456701049771/1476812291011*c_1001_5 + 52697635735/39913845703, c_0101_0 + 48870813290/1476812291011*c_1001_5^13 + 487563204054/1476812291011*c_1001_5^12 + 663331899018/1476812291011*c_1001_5^11 + 8250091542794/1476812291011*c_1001_5^10 + 1307401450518/1476812291011*c_1001_5^9 + 38206728827471/1476812291011*c_1001_5^8 - 13182582177096/1476812291011*c_1001_5^7 + 99788388128641/1476812291011*c_1001_5^6 - 18378772907888/1476812291011*c_1001_5^5 + 135747454735508/1476812291011*c_1001_5^4 - 14650032903970/1476812291011*c_1001_5^3 + 84469455471581/1476812291011*c_1001_5^2 - 6702811978940/1476812291011*c_1001_5 + 427681872338/39913845703, c_0101_1 - 584211428873/1476812291011*c_1001_5^13 + 238069710332/1476812291011*c_1001_5^12 - 9976269828303/1476812291011*c_1001_5^11 + 3949701934883/1476812291011*c_1001_5^10 - 48621467713102/1476812291011*c_1001_5^9 + 31970609188550/1476812291011*c_1001_5^8 - 127246898817489/1476812291011*c_1001_5^7 + 53266725155751/1476812291011*c_1001_5^6 - 175943288978412/1476812291011*c_1001_5^5 + 46918140506681/1476812291011*c_1001_5^4 - 111578121070416/1476812291011*c_1001_5^3 + 25163210489916/1476812291011*c_1001_5^2 - 20262944561405/1476812291011*c_1001_5 + 128789979873/39913845703, c_0101_11 + 61798677/1756019371*c_1001_5^13 - 141748051/1756019371*c_1001_5^12 + 1147886091/1756019371*c_1001_5^11 - 2483421358/1756019371*c_1001_5^10 + 6643761133/1756019371*c_1001_5^9 - 14279736429/1756019371*c_1001_5^8 + 22666454394/1756019371*c_1001_5^7 - 36985747451/1756019371*c_1001_5^6 + 36534880930/1756019371*c_1001_5^5 - 49569647800/1756019371*c_1001_5^4 + 25837742199/1756019371*c_1001_5^3 - 34692618495/1756019371*c_1001_5^2 + 6436618071/1756019371*c_1001_5 - 224968962/47459983, c_0101_12 - 83220911/1756019371*c_1001_5^13 - 97308582/1756019371*c_1001_5^12 - 1424271907/1756019371*c_1001_5^11 - 1673578201/1756019371*c_1001_5^10 - 6991937699/1756019371*c_1001_5^9 - 6298337494/1756019371*c_1001_5^8 - 15446214724/1756019371*c_1001_5^7 - 19409488513/1756019371*c_1001_5^6 - 24275157153/1756019371*c_1001_5^5 - 31730236459/1756019371*c_1001_5^4 - 21507840215/1756019371*c_1001_5^3 - 21766418121/1756019371*c_1001_5^2 - 6578073159/1756019371*c_1001_5 - 124324458/47459983, c_0101_5 + 224968962/1756019371*c_1001_5^13 + 61798677/1756019371*c_1001_5^12 + 3907693265/1756019371*c_1001_5^11 + 1147886091/1756019371*c_1001_5^10 + 19788505880/1756019371*c_1001_5^9 + 1244506045/1756019371*c_1001_5^8 + 49836417741/1756019371*c_1001_5^7 + 13217757990/1756019371*c_1001_5^6 + 73474012891/1756019371*c_1001_5^5 + 35185067158/1756019371*c_1001_5^4 + 57065640188/1756019371*c_1001_5^3 + 28987307667/1756019371*c_1001_5^2 + 15025522107/1756019371*c_1001_5 + 186123135/47459983, c_0101_7 + 47985002182/1476812291011*c_1001_5^13 - 27327797031/1476812291011*c_1001_5^12 + 851473587233/1476812291011*c_1001_5^11 - 499190780987/1476812291011*c_1001_5^10 + 4545426782684/1476812291011*c_1001_5^9 - 3975720439599/1476812291011*c_1001_5^8 + 13358624719612/1476812291011*c_1001_5^7 - 9953893313580/1476812291011*c_1001_5^6 + 22364951001984/1476812291011*c_1001_5^5 - 13815283724344/1476812291011*c_1001_5^4 + 19357400048497/1476812291011*c_1001_5^3 - 11222570052069/1476812291011*c_1001_5^2 + 6229405761498/1476812291011*c_1001_5 - 95605009408/39913845703, c_1001_5^14 + 18*c_1001_5^12 + 99*c_1001_5^10 - 24*c_1001_5^9 + 285*c_1001_5^8 - 42*c_1001_5^7 + 491*c_1001_5^6 - 6*c_1001_5^5 + 474*c_1001_5^4 + 14*c_1001_5^3 + 221*c_1001_5^2 + 2*c_1001_5 + 37 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.450 Total time: 0.650 seconds, Total memory usage: 32.09MB