Magma V2.19-8 Tue Aug 20 2013 16:19:13 on localhost [Seed = 3970789865] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3331 geometric_solution 6.46707796 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 1 0132 0132 0132 3012 0 0 0 0 0 -1 0 1 -1 0 0 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 -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 -0.022453694985 1.298644256105 0 4 0 2 0132 0132 1230 2103 0 0 0 0 0 1 -1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.374266266392 0.475365035588 5 0 5 1 0132 0132 1023 2103 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 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 0 0 0 0 0 0.154123403571 0.653696214399 5 6 4 0 3012 0132 2031 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.013309986314 0.769803690986 5 1 6 3 1023 0132 1302 1302 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 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 0.977546305015 1.298644256105 2 4 2 3 0132 1023 1023 1230 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 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 0 0 0 0 0 0.051649207698 1.164538598857 4 3 6 6 2031 0132 1230 3012 0 0 0 0 0 0 -1 1 -1 0 0 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 -1 0 1 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 0.528562287453 0.949222653029 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : 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_2_0' : d['1'], 's_2_1' : negation(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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : d['c_0110_6'], 'c_1100_5' : d['c_0101_0'], 'c_1100_4' : d['c_0101_3'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0101_1'], 'c_1100_0' : negation(d['c_1001_1']), 'c_1100_3' : negation(d['c_1001_1']), 'c_1100_2' : negation(d['c_0101_0']), 'c_0101_6' : d['c_0101_3'], 'c_0101_5' : negation(d['c_0101_1']), 'c_0101_4' : d['c_0011_3'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_3'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_0'], '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' : negation(d['c_0011_0']), 'c_1001_5' : d['c_0011_3'], 'c_1001_4' : d['c_0110_6'], 'c_1001_6' : negation(d['c_0110_6']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : negation(d['c_0110_6']), 'c_1001_3' : negation(d['c_0101_3']), 'c_1001_2' : negation(d['c_0101_1']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_1']), 'c_0110_5' : d['c_0011_3'], 'c_0110_4' : d['c_0101_3'], 'c_0110_6' : d['c_0110_6'], 'c_1010_6' : negation(d['c_0101_3']), 'c_1010_5' : d['c_0101_3'], 'c_1010_4' : d['c_1001_1'], 'c_1010_3' : negation(d['c_0110_6']), 'c_1010_2' : negation(d['c_0110_6']), 'c_1010_1' : d['c_0110_6'], 'c_1010_0' : negation(d['c_0101_1'])})} 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_3, c_0101_0, c_0101_1, c_0101_3, c_0110_6, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t + 3732089344752347/126673754677314048*c_1001_1^15 + 1295985643125517/4691620543604224*c_1001_1^13 + 1084149456022190593/126673754677314048*c_1001_1^11 - 1517407737668225053/63336877338657024*c_1001_1^9 + 1089402965739134951/42224584892438016*c_1001_1^7 - 5683003981722028315/126673754677314048*c_1001_1^5 + 54584471298198209/659759138944344*c_1001_1^3 - 339014669620130983/7917109667332128*c_1001_1, c_0011_0 - 1, c_0011_3 + 1426262166231/293226283975264*c_1001_1^14 + 13631357359539/293226283975264*c_1001_1^12 + 416794013003421/293226283975264*c_1001_1^10 - 542037570289109/146613141987632*c_1001_1^8 + 1052786577447625/293226283975264*c_1001_1^6 - 1958389980188287/293226283975264*c_1001_1^4 + 463481873785171/36653285496908*c_1001_1^2 - 96372088417139/18326642748454, c_0101_0 + 1, c_0101_1 - 4218926527055/586452567950528*c_1001_1^15 - 41102183121179/586452567950528*c_1001_1^13 - 1241565887973941/586452567950528*c_1001_1^11 + 1482997163699669/293226283975264*c_1001_1^9 - 2889258008579729/586452567950528*c_1001_1^7 + 5816385887811175/586452567950528*c_1001_1^5 - 1281608352030865/73306570993816*c_1001_1^3 + 249510589172557/36653285496908*c_1001_1, c_0101_3 + 4405250949287/1759357703851584*c_1001_1^15 + 13868704978753/586452567950528*c_1001_1^13 + 1282640839491181/1759357703851584*c_1001_1^11 - 1745800107674869/879678851925792*c_1001_1^9 + 1219926350886899/586452567950528*c_1001_1^7 - 6007817880546991/1759357703851584*c_1001_1^5 + 496807565452929/73306570993816*c_1001_1^3 - 349073115694009/109959856490724*c_1001_1, c_0110_6 - 519691372369/146613141987632*c_1001_1^14 - 5097946260577/146613141987632*c_1001_1^12 - 153204855279671/146613141987632*c_1001_1^10 + 177939354624401/73306570993816*c_1001_1^8 - 308644201346503/146613141987632*c_1001_1^6 + 674774875814549/146613141987632*c_1001_1^4 - 281014261302123/36653285496908*c_1001_1^2 + 19268479355345/9163321374227, c_1001_1^16 + 9*c_1001_1^14 + 287*c_1001_1^12 - 922*c_1001_1^10 + 1191*c_1001_1^8 - 1853*c_1001_1^6 + 3396*c_1001_1^4 - 2576*c_1001_1^2 + 576 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.220 seconds, Total memory usage: 32.09MB