Magma V2.19-8 Tue Aug 20 2013 16:17:51 on localhost [Seed = 3052677462] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2089 geometric_solution 5.59805932 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1230 3012 0132 2310 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 0 0 0 0 0 0 0 0 0 0 1.678946130369 0.516131938912 0 2 3 0 3201 0132 0132 0132 0 0 0 0 0 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 0 0 0 0 1 0 -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 0 0 0 0.706573764349 0.614835323553 4 1 3 5 0132 0132 1302 0132 0 0 0 0 0 0 0 0 -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 -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 0.469847798872 0.527691146327 2 5 4 1 2031 2310 1023 0132 0 0 0 0 0 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 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 0.469847798872 0.527691146327 2 6 3 6 0132 0132 1023 2310 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 -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 0.527698020170 1.596746360578 5 5 2 3 1230 3012 0132 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.546271903252 0.683541707174 4 4 6 6 3201 0132 2031 1302 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -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 0.429730196316 0.163179154167 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : d['1'], '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_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_0_6' : 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_6' : d['c_0011_3'], 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : negation(d['c_0011_1']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_1'], 'c_1100_0' : d['c_0011_1'], 'c_1100_3' : d['c_0011_1'], 'c_1100_2' : negation(d['c_0011_3']), 'c_0101_6' : d['c_0011_3'], 'c_0101_5' : d['c_0101_4'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0011_3']), 'c_0101_2' : negation(d['c_0011_3']), 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_1'], 'c_0011_6' : negation(d['c_0011_1']), 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : negation(d['c_0011_5']), 'c_1001_4' : negation(d['c_0011_3']), 'c_1001_6' : negation(d['c_0110_6']), 'c_1001_1' : negation(d['c_0011_5']), 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0101_4'], 'c_1001_2' : negation(d['c_0011_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : negation(d['c_0011_0']), 'c_0110_2' : d['c_0101_4'], 'c_0110_5' : d['c_0011_5'], 'c_0110_4' : negation(d['c_0011_3']), 'c_0110_6' : d['c_0110_6'], 'c_1010_6' : negation(d['c_0011_3']), 'c_1010_5' : negation(d['c_0101_4']), 'c_1010_4' : negation(d['c_0110_6']), 'c_1010_3' : negation(d['c_0011_5']), 'c_1010_2' : negation(d['c_0011_5']), 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : negation(d['c_0101_0'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_3, c_0011_5, c_0101_0, c_0101_4, c_0110_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 19 Groebner basis: [ t - 5702010708996631846/3378772945309405*c_0110_6^18 + 21382644452379572743/3378772945309405*c_0110_6^17 + 60493762064471568678/3378772945309405*c_0110_6^16 - 221606219672521957927/3378772945309405*c_0110_6^15 - 60514242651083653106/3378772945309405*c_0110_6^14 + 151364202348415569232/675754589061881*c_0110_6^13 - 44838179984310117184/675754589061881*c_0110_6^12 - 1396873728486414214522/3378772945309405*c_0110_6^11 + 711319454496255254009/3378772945309405*c_0110_6^10 + 257024821969679344626/482681849329915*c_0110_6^9 - 895012437271937751276/3378772945309405*c_0110_6^8 - 221800223822224781578/482681849329915*c_0110_6^7 + 168877882655299267511/675754589061881*c_0110_6^6 + 183088141493037143418/482681849329915*c_0110_6^5 + 39171627536656495673/3378772945309405*c_0110_6^4 - 227063187100455422861/3378772945309405*c_0110_6^3 + 34283110915822210966/3378772945309405*c_0110_6^2 + 55546603872545802549/3378772945309405*c_0110_6 + 9152404050944671009/3378772945309405, c_0011_0 - 1, c_0011_1 - 11328483525073468/96536369865983*c_0110_6^18 + 43375089168291290/96536369865983*c_0110_6^17 + 116111497821037916/96536369865983*c_0110_6^16 - 446434119270243473/96536369865983*c_0110_6^15 - 80548978261079093/96536369865983*c_0110_6^14 + 1480826120255997942/96536369865983*c_0110_6^13 - 545124592682734297/96536369865983*c_0110_6^12 - 2659435680315297140/96536369865983*c_0110_6^11 + 1537370959840578166/96536369865983*c_0110_6^10 + 3363343195788835976/96536369865983*c_0110_6^9 - 1888236366905108515/96536369865983*c_0110_6^8 - 2856489894995411831/96536369865983*c_0110_6^7 + 1735701217233610470/96536369865983*c_0110_6^6 + 2367888654667198185/96536369865983*c_0110_6^5 + 21456686356896623/96536369865983*c_0110_6^4 - 411994318128846868/96536369865983*c_0110_6^3 + 72093338863316701/96536369865983*c_0110_6^2 + 101525015115332874/96536369865983*c_0110_6 + 16582289913973752/96536369865983, c_0011_3 - 11080811197488532/96536369865983*c_0110_6^18 + 40786973472443374/96536369865983*c_0110_6^17 + 121165580011492782/96536369865983*c_0110_6^16 - 425936313631810936/96536369865983*c_0110_6^15 - 152089892369235301/96536369865983*c_0110_6^14 + 1495487444479884971/96536369865983*c_0110_6^13 - 355867149903272184/96536369865983*c_0110_6^12 - 2823182750361774151/96536369865983*c_0110_6^11 + 1295556866885658206/96536369865983*c_0110_6^10 + 3681971013463466835/96536369865983*c_0110_6^9 - 1674185341687006065/96536369865983*c_0110_6^8 - 3209802664763312994/96536369865983*c_0110_6^7 + 1618369802475077318/96536369865983*c_0110_6^6 + 2634703654651064669/96536369865983*c_0110_6^5 + 106855351973716591/96536369865983*c_0110_6^4 - 471071339740256066/96536369865983*c_0110_6^3 + 66129599523807061/96536369865983*c_0110_6^2 + 113767923804731002/96536369865983*c_0110_6 + 19117226058600708/96536369865983, c_0011_5 + 7188127570139492/96536369865983*c_0110_6^18 - 28997861832355282/96536369865983*c_0110_6^17 - 67005460697248524/96536369865983*c_0110_6^16 + 293768025697432408/96536369865983*c_0110_6^15 - 14207918504055350/96536369865983*c_0110_6^14 - 904859383947284885/96536369865983*c_0110_6^13 + 513936127806124575/96536369865983*c_0110_6^12 + 1500959438293365587/96536369865983*c_0110_6^11 - 1191094593780277492/96536369865983*c_0110_6^10 - 1787686463013831403/96536369865983*c_0110_6^9 + 1394951830442271721/96536369865983*c_0110_6^8 + 1435327981316310744/96536369865983*c_0110_6^7 - 1211813890385906795/96536369865983*c_0110_6^6 - 1204845744986961372/96536369865983*c_0110_6^5 + 89306592588608827/96536369865983*c_0110_6^4 + 196571468418045563/96536369865983*c_0110_6^3 - 54478230058075416/96536369865983*c_0110_6^2 - 49635454112166699/96536369865983*c_0110_6 - 7188767893496928/96536369865983, c_0101_0 - 6402536500286336/96536369865983*c_0110_6^18 + 25050348045563794/96536369865983*c_0110_6^17 + 63276627356943951/96536369865983*c_0110_6^16 - 256489282470532676/96536369865983*c_0110_6^15 - 22255572041264931/96536369865983*c_0110_6^14 + 827838361523689122/96536369865983*c_0110_6^13 - 371813452237767680/96536369865983*c_0110_6^12 - 1443697831879669959/96536369865983*c_0110_6^11 + 959531774000705523/96536369865983*c_0110_6^10 + 1783586776289745740/96536369865983*c_0110_6^9 - 1160358616530714079/96536369865983*c_0110_6^8 - 1482036859423860293/96536369865983*c_0110_6^7 + 1043867513863986607/96536369865983*c_0110_6^6 + 1229489329915702252/96536369865983*c_0110_6^5 - 42233955976284531/96536369865983*c_0110_6^4 - 209432418792632954/96536369865983*c_0110_6^3 + 48284017963374888/96536369865983*c_0110_6^2 + 51061606538850996/96536369865983*c_0110_6 + 7504368657404849/96536369865983, c_0101_4 - 5642427948001314/96536369865983*c_0110_6^18 + 23296150653273295/96536369865983*c_0110_6^17 + 50113255894402065/96536369865983*c_0110_6^16 - 234053387862909067/96536369865983*c_0110_6^15 + 35182035453974998/96536369865983*c_0110_6^14 + 694437175808306436/96536369865983*c_0110_6^13 - 461496973325015774/96536369865983*c_0110_6^12 - 1103423032467687209/96536369865983*c_0110_6^11 + 1001344260447250533/96536369865983*c_0110_6^10 + 1271526637406672930/96536369865983*c_0110_6^9 - 1146929588047268743/96536369865983*c_0110_6^8 - 987842868730710124/96536369865983*c_0110_6^7 + 971967613839783531/96536369865983*c_0110_6^6 + 840207739322343700/96536369865983*c_0110_6^5 - 93643530945718303/96536369865983*c_0110_6^4 - 131442281095038534/96536369865983*c_0110_6^3 + 43244729460372388/96536369865983*c_0110_6^2 + 34739528979201337/96536369865983*c_0110_6 + 4864774005244574/96536369865983, c_0110_6^19 - 7/2*c_0110_6^18 - 23/2*c_0110_6^17 + 36*c_0110_6^16 + 20*c_0110_6^15 - 128*c_0110_6^14 + 5*c_0110_6^13 + 499/2*c_0110_6^12 - 115/2*c_0110_6^11 - 340*c_0110_6^10 + 67*c_0110_6^9 + 611/2*c_0110_6^8 - 68*c_0110_6^7 - 517/2*c_0110_6^6 - 145/2*c_0110_6^5 + 35*c_0110_6^4 + 6*c_0110_6^3 - 11*c_0110_6^2 - 9/2*c_0110_6 - 1/2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB