Magma V2.19-8 Tue Aug 20 2013 16:16:56 on localhost [Seed = 4139215398] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1188 geometric_solution 5.06472134 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 1 1 2 2 0132 2310 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 1.688825516039 1.187345481511 0 1 1 0 0132 3201 2310 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.663570500448 0.209920402595 0 3 4 0 3201 0132 0132 0132 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 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 0.591097387465 0.346147806127 5 2 4 6 0132 0132 1302 0132 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 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 0.556698414640 0.397378642765 3 6 5 2 2031 1023 1023 0132 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 -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 0.556698414640 0.397378642765 3 5 4 5 0132 1302 1023 2031 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 0 0 0 0 -1 0 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.092607349860 1.279374226370 4 6 3 6 1023 1302 0132 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.710472353905 0.514792766854 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : negation(d['1']), 's_3_0' : d['1'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : negation(d['1']), 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : negation(d['1']), 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : negation(d['1']), 's_1_3' : negation(d['1']), 's_1_2' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : d['1'], 's_0_6' : negation(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' : negation(d['c_0011_4']), 'c_1100_5' : negation(d['c_0011_2']), 'c_1100_4' : d['c_0011_2'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0011_2'], 'c_1100_3' : negation(d['c_0011_4']), 'c_1100_2' : d['c_0011_2'], 'c_0101_6' : d['c_0101_5'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_4']), 'c_0101_3' : negation(d['c_0011_4']), 'c_0101_2' : negation(d['c_0101_1']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_2'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : d['c_0011_4'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_2']), 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0011_4']), 'c_1001_4' : d['c_0101_5'], 'c_1001_6' : d['c_0110_6'], 'c_1001_1' : negation(d['c_0101_1']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_1']), 'c_1001_2' : d['c_0110_6'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_5'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : negation(d['c_0011_4']), 'c_0110_4' : negation(d['c_0101_1']), 'c_0110_6' : d['c_0110_6'], 'c_1010_6' : d['c_0011_4'], 'c_1010_5' : d['c_0011_2'], 'c_1010_4' : d['c_0110_6'], 'c_1010_3' : d['c_0110_6'], 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : d['c_0101_1'], '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_2, c_0011_4, c_0101_0, c_0101_1, c_0101_5, c_0110_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t + 417072769157482045/25124137530155008*c_0110_6^13 + 1028233183586981659/12562068765077504*c_0110_6^12 - 1394664362571433617/25124137530155008*c_0110_6^11 - 561627324848605891/3140517191269376*c_0110_6^10 - 7761563454867195507/12562068765077504*c_0110_6^9 - 11981060069152901201/12562068765077504*c_0110_6^8 + 53816006388069470551/25124137530155008*c_0110_6^7 + 119699645306740601655/25124137530155008*c_0110_6^6 + 78269117491113034527/25124137530155008*c_0110_6^5 + 13042900817341433291/12562068765077504*c_0110_6^4 + 456973969483052983/25124137530155008*c_0110_6^3 - 7835147011448881761/12562068765077504*c_0110_6^2 - 12719210152843534703/25124137530155008*c_0110_6 - 7465353347944532811/25124137530155008, c_0011_0 - 1, c_0011_2 - 3677634870321/196282324454336*c_0110_6^13 - 9249956025287/98141162227168*c_0110_6^12 + 11739722749829/196282324454336*c_0110_6^11 + 5938612079927/24535290556792*c_0110_6^10 + 69279043489487/98141162227168*c_0110_6^9 + 103596919223285/98141162227168*c_0110_6^8 - 501871509922163/196282324454336*c_0110_6^7 - 1184154533052467/196282324454336*c_0110_6^6 - 636047114481803/196282324454336*c_0110_6^5 + 61530381457393/98141162227168*c_0110_6^4 + 272832944094349/196282324454336*c_0110_6^3 + 46302169129197/98141162227168*c_0110_6^2 + 150139064678139/196282324454336*c_0110_6 + 136957777971623/196282324454336, c_0011_4 + 2479338962623/196282324454336*c_0110_6^13 + 7864764327867/98141162227168*c_0110_6^12 + 11488985152593/196282324454336*c_0110_6^11 - 925031816423/6133822639198*c_0110_6^10 - 76419515677821/98141162227168*c_0110_6^9 - 138473417664819/98141162227168*c_0110_6^8 + 42859679538181/196282324454336*c_0110_6^7 + 1137653937993457/196282324454336*c_0110_6^6 + 1909994959671077/196282324454336*c_0110_6^5 + 496530079090455/98141162227168*c_0110_6^4 + 125801730531681/196282324454336*c_0110_6^3 - 136131628851995/98141162227168*c_0110_6^2 - 299250437147181/196282324454336*c_0110_6 - 95879021097677/196282324454336, c_0101_0 - 5515863681583/49070581113584*c_0110_6^13 - 13049762654055/24535290556792*c_0110_6^12 + 23803386547579/49070581113584*c_0110_6^11 + 3456792903428/3066911319599*c_0110_6^10 + 96136526935545/24535290556792*c_0110_6^9 + 137700229071843/24535290556792*c_0110_6^8 - 766860600228373/49070581113584*c_0110_6^7 - 1430940385924193/49070581113584*c_0110_6^6 - 699042583493353/49070581113584*c_0110_6^5 - 84707303369197/24535290556792*c_0110_6^4 - 73525888388273/49070581113584*c_0110_6^3 + 54729874607433/24535290556792*c_0110_6^2 + 120531908159241/49070581113584*c_0110_6 + 56132103729273/49070581113584, c_0101_1 - 3261166526051/49070581113584*c_0110_6^13 - 15642663857707/49070581113584*c_0110_6^12 + 3331558268713/12267645278396*c_0110_6^11 + 17217315140735/24535290556792*c_0110_6^10 + 7089401606942/3066911319599*c_0110_6^9 + 85527870392909/24535290556792*c_0110_6^8 - 452957917192499/49070581113584*c_0110_6^7 - 436156959713271/24535290556792*c_0110_6^6 - 436928823752373/49070581113584*c_0110_6^5 - 111799849491193/49070581113584*c_0110_6^4 - 22470709457789/24535290556792*c_0110_6^3 + 32292465767599/24535290556792*c_0110_6^2 + 87760925556379/49070581113584*c_0110_6 + 17348740394297/24535290556792, c_0101_5 + 1788914730735/196282324454336*c_0110_6^13 + 3352986185183/98141162227168*c_0110_6^12 - 7890509576279/196282324454336*c_0110_6^11 + 1284484616495/12267645278396*c_0110_6^10 - 55971407004597/98141162227168*c_0110_6^9 - 30552674719123/98141162227168*c_0110_6^8 + 92371447055141/196282324454336*c_0110_6^7 + 66163983041641/196282324454336*c_0110_6^6 + 1155262599484613/196282324454336*c_0110_6^5 + 406469354561323/98141162227168*c_0110_6^4 - 244605068657799/196282324454336*c_0110_6^3 - 190214815511443/98141162227168*c_0110_6^2 - 212577279547037/196282324454336*c_0110_6 - 89450937855637/196282324454336, c_0110_6^14 + 5*c_0110_6^13 - 3*c_0110_6^12 - 11*c_0110_6^11 - 38*c_0110_6^10 - 60*c_0110_6^9 + 125*c_0110_6^8 + 296*c_0110_6^7 + 208*c_0110_6^6 + 75*c_0110_6^5 + 5*c_0110_6^4 - 37*c_0110_6^3 - 33*c_0110_6^2 - 20*c_0110_6 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB