Magma V2.19-8 Wed Aug 21 2013 01:07:09 on localhost [Seed = 1427328426] Type ? for help. Type -D to quit. Loading file "L14n32951__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n32951 geometric_solution 11.36668833 oriented_manifold CS_known -0.0000000000000004 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 1 2 3 0132 2310 0132 0132 1 0 0 1 0 0 0 0 -1 0 2 -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 -2 0 3 -1 0 2 0 -2 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.462073882201 0.505247159373 0 4 4 0 0132 0132 3201 3201 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 -1 0 1 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 -0.985679886661 1.077775615481 5 5 3 0 0132 3201 0213 0132 1 0 1 0 0 0 0 0 1 0 1 -2 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 2 -3 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.832782610115 0.697327991644 6 2 0 7 0132 0213 0132 0132 1 0 0 0 0 0 0 0 0 0 1 -1 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 0 -1 1 0 0 1 -1 0 -2 0 2 -2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.650167087416 0.499278524441 1 1 5 6 2310 0132 0213 0213 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 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 0.462073882201 0.505247159373 2 4 2 8 0132 0213 2310 0132 1 0 0 1 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 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 0.294128320501 0.591059508982 3 9 8 4 0132 0132 0132 0213 1 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 0 1 0 0 0 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.425932526134 0.428810225051 10 11 3 11 0132 0132 0132 0213 1 0 0 0 0 0 0 0 0 0 1 -1 -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 0 -1 1 0 0 1 -1 -1 0 0 1 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.221162531514 1.274785932866 9 10 5 6 0213 0213 0132 0132 1 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.910034556832 0.828173374042 8 6 12 10 0213 0132 0132 0213 1 0 0 0 0 0 1 -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 -3 2 0 0 2 -2 0 0 0 0 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.657893179488 0.560998869974 7 12 8 9 0132 0132 0213 0213 1 0 0 0 0 -1 0 1 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 0 -2 0 0 0 0 -2 0 0 2 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.227545326243 0.401746030825 12 7 12 7 0132 0132 0321 0213 1 0 0 0 0 0 0 0 0 0 1 -1 -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 0 1 -1 0 0 1 -1 -1 0 0 1 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.221162531514 1.274785932866 11 10 11 9 0132 0132 0321 0132 1 0 0 0 0 1 0 -1 0 0 1 -1 -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 -1 3 0 0 2 -2 -2 0 0 2 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.221162531514 1.274785932866 ==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' : d['c_1001_10'], 'c_1001_12' : d['c_1001_11'], 'c_1001_5' : negation(d['c_1001_0']), 'c_1001_4' : negation(d['c_1001_0']), 'c_1001_7' : d['c_1001_7'], 'c_1001_6' : d['c_1001_6'], 'c_1001_1' : d['c_0011_2'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0101_0']), 'c_1001_2' : negation(d['c_0101_0']), 'c_1001_9' : d['c_1001_10'], 'c_1001_8' : d['c_1001_10'], 'c_1010_12' : d['c_1001_10'], 'c_1010_11' : d['c_1001_7'], 'c_1010_10' : d['c_1001_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'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0011_8'], 'c_0101_10' : d['c_0011_8'], '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' : d['c_1001_11'], 'c_1100_8' : d['c_0011_2'], 'c_0011_12' : negation(d['c_0011_10']), 'c_1100_5' : d['c_0011_2'], 'c_1100_4' : d['c_1001_10'], 'c_1100_7' : d['c_1001_7'], 'c_1100_6' : d['c_0011_2'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_1001_7'], 'c_1100_3' : d['c_1001_7'], 'c_1100_2' : d['c_1001_7'], 's_3_11' : d['1'], 'c_1100_11' : d['c_1001_11'], 'c_1100_10' : d['c_1001_6'], 's_3_10' : d['1'], 'c_1010_7' : d['c_1001_11'], 'c_1010_6' : d['c_1001_10'], 'c_1010_5' : d['c_1001_10'], 'c_1010_4' : d['c_0011_2'], 'c_1010_3' : d['c_1001_7'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_1001_0']), 'c_1010_0' : negation(d['c_0101_0']), 'c_1010_9' : d['c_1001_6'], 'c_1010_8' : d['c_1001_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_1001_11'], '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_3'], 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : negation(d['c_0011_2']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_10']), 'c_0011_6' : negation(d['c_0011_3']), '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' : negation(d['c_0011_8']), 'c_0110_10' : d['c_0101_6'], 'c_0110_12' : d['c_0011_8'], 'c_0101_12' : negation(d['c_0011_8']), 'c_0011_11' : d['c_0011_10'], 'c_0101_7' : d['c_0101_6'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : negation(d['c_0011_2']), 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0011_3'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_8'], 'c_0101_8' : d['c_0011_3'], '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' : negation(d['c_0101_6']), 'c_0110_8' : d['c_0101_6'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_6'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0011_3'], 'c_0110_4' : negation(d['c_0101_1']), 'c_0110_7' : d['c_0011_8'], 'c_0110_6' : d['c_0101_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_2, c_0011_3, c_0011_8, c_0101_0, c_0101_1, c_0101_6, c_1001_0, c_1001_10, c_1001_11, c_1001_6, c_1001_7 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t - 6411866325948502930640/60748898230557*c_1001_7^15 - 10991297255851463169904/60748898230557*c_1001_7^14 + 15800740247979195659960/20249632743519*c_1001_7^13 - 17765085438296671123052/60748898230557*c_1001_7^12 - 130072197503460582640943/60748898230557*c_1001_7^11 + 282745330513063224679324/60748898230557*c_1001_7^10 - 406516326499150446824977/80998530974076*c_1001_7^9 + 231985138450989743510095/60748898230557*c_1001_7^8 - 2636624453693147274808457/971982371688912*c_1001_7^7 + 1981891875838285283940865/971982371688912*c_1001_7^6 - 1365082983834769990553873/971982371688912*c_1001_7^5 + 1496843559599443361311409/1943964743377824*c_1001_7^4 - 152727878319122235554921/485991185844456*c_1001_7^3 + 29321669825524418349343/323994123896304*c_1001_7^2 - 117042753272446663908/6749877581173*c_1001_7 + 3282238171248690993299/1943964743377824, c_0011_0 - 1, c_0011_10 + 3112639240381840/10780610165191*c_1001_7^15 + 3932955859949688/10780610165191*c_1001_7^14 - 26239146944356892/10780610165191*c_1001_7^13 + 17046987926417718/10780610165191*c_1001_7^12 + 63987632778384618/10780610165191*c_1001_7^11 - 165131236306669005/10780610165191*c_1001_7^10 + 776051267763693781/43122440660764*c_1001_7^9 - 1224905115871812059/86244881321528*c_1001_7^8 + 856326564972794883/86244881321528*c_1001_7^7 - 318599531539439301/43122440660764*c_1001_7^6 + 905067802111177153/172489762643056*c_1001_7^5 - 257992490612454767/86244881321528*c_1001_7^4 + 109341633099415407/86244881321528*c_1001_7^3 - 32369939132642215/86244881321528*c_1001_7^2 + 12466009905735727/172489762643056*c_1001_7 - 572418349177289/86244881321528, c_0011_2 - 3470774240872/31989941143*c_1001_7^15 - 7826891578436/31989941143*c_1001_7^14 + 21189596223618/31989941143*c_1001_7^13 + 1417421441195/31989941143*c_1001_7^12 - 67866121384454/31989941143*c_1001_7^11 + 232097771716127/63979882286*c_1001_7^10 - 859614835638093/255919529144*c_1001_7^9 + 1234477411214249/511839058288*c_1001_7^8 - 451612147282941/255919529144*c_1001_7^7 + 679599422498611/511839058288*c_1001_7^6 - 876792631207581/1023678116576*c_1001_7^5 + 437977569203971/1023678116576*c_1001_7^4 - 79637897687805/511839058288*c_1001_7^3 + 1282917925050/31989941143*c_1001_7^2 - 6364339377377/1023678116576*c_1001_7 - 200126375307/1023678116576, c_0011_3 + 1030428806072304/10780610165191*c_1001_7^15 + 2281586569380424/10780610165191*c_1001_7^14 - 6419608423964420/10780610165191*c_1001_7^13 - 262053143605990/10780610165191*c_1001_7^12 + 20317185698322790/10780610165191*c_1001_7^11 - 35135597265816739/10780610165191*c_1001_7^10 + 130746077975783843/43122440660764*c_1001_7^9 - 188074334024278237/86244881321528*c_1001_7^8 + 138492570626995493/86244881321528*c_1001_7^7 - 52503364236643837/43122440660764*c_1001_7^6 + 136472183126377791/172489762643056*c_1001_7^5 - 34380505069404385/86244881321528*c_1001_7^4 + 12749272113745375/86244881321528*c_1001_7^3 - 3551266355723817/86244881321528*c_1001_7^2 + 1639490581522781/172489762643056*c_1001_7 - 127147163580135/86244881321528, c_0011_8 + 2428625153184264/10780610165191*c_1001_7^15 + 4727967170943988/10780610165191*c_1001_7^14 - 16726816941902746/10780610165191*c_1001_7^13 + 3114414506461617/10780610165191*c_1001_7^12 + 49207135036052810/10780610165191*c_1001_7^11 - 191058409452419619/21561220330382*c_1001_7^10 + 765344086390318897/86244881321528*c_1001_7^9 - 1125053646370960133/172489762643056*c_1001_7^8 + 408313310427938875/86244881321528*c_1001_7^7 - 620909674915762523/172489762643056*c_1001_7^6 + 827071468404448033/344979525286112*c_1001_7^5 - 432822094657654667/344979525286112*c_1001_7^4 + 85947715879542393/172489762643056*c_1001_7^3 - 1544717202308130/10780610165191*c_1001_7^2 + 9649068734411581/344979525286112*c_1001_7 - 938897683220741/344979525286112, c_0101_0 + 3470774240872/31989941143*c_1001_7^15 + 7826891578436/31989941143*c_1001_7^14 - 21189596223618/31989941143*c_1001_7^13 - 1417421441195/31989941143*c_1001_7^12 + 67866121384454/31989941143*c_1001_7^11 - 232097771716127/63979882286*c_1001_7^10 + 859614835638093/255919529144*c_1001_7^9 - 1234477411214249/511839058288*c_1001_7^8 + 451612147282941/255919529144*c_1001_7^7 - 679599422498611/511839058288*c_1001_7^6 + 876792631207581/1023678116576*c_1001_7^5 - 437977569203971/1023678116576*c_1001_7^4 + 79637897687805/511839058288*c_1001_7^3 - 1282917925050/31989941143*c_1001_7^2 + 6364339377377/1023678116576*c_1001_7 + 200126375307/1023678116576, c_0101_1 - 1, c_0101_6 - 3084534770946936/10780610165191*c_1001_7^15 - 6239450206823404/10780610165191*c_1001_7^14 + 20798123914207222/10780610165191*c_1001_7^13 - 2237074049030263/10780610165191*c_1001_7^12 - 62581028170556234/10780610165191*c_1001_7^11 + 232755441707613901/21561220330382*c_1001_7^10 - 900654110578676847/86244881321528*c_1001_7^9 + 1294504771250121827/172489762643056*c_1001_7^8 - 467269525723267531/86244881321528*c_1001_7^7 + 709379554327909829/172489762643056*c_1001_7^6 - 936710288854413551/344979525286112*c_1001_7^5 + 481079764627469345/344979525286112*c_1001_7^4 - 89543652604001305/172489762643056*c_1001_7^3 + 11478284703366349/86244881321528*c_1001_7^2 - 8034044364454903/344979525286112*c_1001_7 + 643174047886443/344979525286112, c_1001_0 + 1/2*c_1001_7 + 1/2, c_1001_10 - c_1001_7, c_1001_11 - 14741094269056/31989941143*c_1001_7^15 - 27271061081760/31989941143*c_1001_7^14 + 104185491978256/31989941143*c_1001_7^13 - 29830761017288/31989941143*c_1001_7^12 - 298278256330420/31989941143*c_1001_7^11 + 613227600667524/31989941143*c_1001_7^10 - 637260574522516/31989941143*c_1001_7^9 + 941458459181731/63979882286*c_1001_7^8 - 1327476195935123/127959764572*c_1001_7^7 + 1004735096725617/127959764572*c_1001_7^6 - 171462259883473/31989941143*c_1001_7^5 + 728688680203701/255919529144*c_1001_7^4 - 35168885433329/31989941143*c_1001_7^3 + 9405376472826/31989941143*c_1001_7^2 - 6441541702851/127959764572*c_1001_7 + 1033598945337/255919529144, c_1001_6 - 5198427784880/31989941143*c_1001_7^15 - 10276250602920/31989941143*c_1001_7^14 + 35546145629844/31989941143*c_1001_7^13 - 5434467087970/31989941143*c_1001_7^12 - 105587920837310/31989941143*c_1001_7^11 + 201294188472819/31989941143*c_1001_7^10 - 792832164605903/127959764572*c_1001_7^9 + 1147891561305689/255919529144*c_1001_7^8 - 823895996562153/255919529144*c_1001_7^7 + 77949262980731/31989941143*c_1001_7^6 - 825321847890611/511839058288*c_1001_7^5 + 213565154512339/255919529144*c_1001_7^4 - 10077805382258/31989941143*c_1001_7^3 + 10183083764335/127959764572*c_1001_7^2 - 5883594263631/511839058288*c_1001_7 + 57312733255/127959764572, c_1001_7^16 + 3/2*c_1001_7^15 - 31/4*c_1001_7^14 + 35/8*c_1001_7^13 + 157/8*c_1001_7^12 - 775/16*c_1001_7^11 + 3661/64*c_1001_7^10 - 5983/128*c_1001_7^9 + 4327/128*c_1001_7^8 - 3209/128*c_1001_7^7 + 4511/256*c_1001_7^6 - 329/32*c_1001_7^5 + 1185/256*c_1001_7^4 - 197/128*c_1001_7^3 + 93/256*c_1001_7^2 - 7/128*c_1001_7 + 1/256 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.230 Total time: 0.430 seconds, Total memory usage: 32.09MB