Magma V2.19-8 Tue Aug 20 2013 16:17:37 on localhost [Seed = 3819077381] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1857 geometric_solution 5.49579337 oriented_manifold CS_known -0.0000000000000007 1 0 torus 0.000000000000 0.000000000000 7 1 1 0 0 0132 2310 1230 3012 0 0 0 0 0 0 1 -1 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 0 -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 1.696172814970 0.449173381294 0 2 3 0 0132 0132 0132 3201 0 0 0 0 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 0 0 0 0 0 0 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 0.792057694255 0.690777333262 4 1 5 3 0132 0132 0132 3201 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 1 0 -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 0.108163637412 0.760875525235 5 2 4 1 1023 2310 2310 0132 0 0 0 0 0 0 0 0 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 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 0.108163637412 0.760875525235 2 3 6 6 0132 3201 2310 0132 0 0 0 0 0 1 -1 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 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 -0.139130277429 0.862462734715 5 3 5 2 2310 1023 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.183132359940 1.288241907267 6 4 4 6 3201 3201 0132 2310 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 0 0 1 0 0 -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 -0.693676146368 0.814546111635 ==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_6'], 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : d['c_0011_6'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0101_1'], 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : negation(d['c_0011_3']), 'c_0101_6' : d['c_0101_2'], 'c_0101_5' : negation(d['c_0101_2']), 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_2'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_3'], 'c_0011_4' : negation(d['c_0011_0']), 'c_0011_6' : d['c_0011_6'], '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_0'], 'c_1001_5' : d['c_0101_2'], 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_6' : negation(d['c_0101_4']), 'c_1001_1' : negation(d['c_0101_4']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : d['c_0101_4'], 'c_1001_2' : d['c_0101_1'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0101_4'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0101_2'], 'c_0110_6' : negation(d['c_0101_2']), 'c_1010_6' : d['c_0101_2'], 'c_1010_5' : d['c_0101_1'], 'c_1010_4' : negation(d['c_0101_4']), 'c_1010_3' : negation(d['c_0101_4']), 'c_1010_2' : negation(d['c_0101_4']), '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_3, c_0011_6, c_0101_0, c_0101_1, c_0101_2, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t - 155173642/2516875*c_0101_4^17 - 1498484707/2516875*c_0101_4^16 - 292180152/503375*c_0101_4^15 + 9963378337/2516875*c_0101_4^14 + 9967301268/2516875*c_0101_4^13 - 21595191796/2516875*c_0101_4^12 - 16084144164/2516875*c_0101_4^11 + 22204215089/2516875*c_0101_4^10 + 1771796004/503375*c_0101_4^9 - 13760887004/2516875*c_0101_4^8 - 2668458989/2516875*c_0101_4^7 + 5808340464/2516875*c_0101_4^6 + 339633239/503375*c_0101_4^5 - 1946721057/2516875*c_0101_4^4 - 372634182/2516875*c_0101_4^3 + 879394568/2516875*c_0101_4^2 - 99483727/2516875*c_0101_4 - 245580216/2516875, c_0011_0 - 1, c_0011_3 - 133161021/2516875*c_0101_4^17 - 1315245616/2516875*c_0101_4^16 - 302801501/503375*c_0101_4^15 + 8476031556/2516875*c_0101_4^14 + 10482123934/2516875*c_0101_4^13 - 18169297873/2516875*c_0101_4^12 - 18051973732/2516875*c_0101_4^11 + 19516405507/2516875*c_0101_4^10 + 2204212427/503375*c_0101_4^9 - 13383869902/2516875*c_0101_4^8 - 2944299582/2516875*c_0101_4^7 + 5709478507/2516875*c_0101_4^6 + 266681732/503375*c_0101_4^5 - 1571811291/2516875*c_0101_4^4 - 402945166/2516875*c_0101_4^3 + 745453959/2516875*c_0101_4^2 - 39935501/2516875*c_0101_4 - 237011458/2516875, c_0011_6 - 43822186/2516875*c_0101_4^17 - 434023081/2516875*c_0101_4^16 - 101789841/503375*c_0101_4^15 + 2784678871/2516875*c_0101_4^14 + 3525300969/2516875*c_0101_4^13 - 5953894393/2516875*c_0101_4^12 - 6097380037/2516875*c_0101_4^11 + 6417574437/2516875*c_0101_4^10 + 749154182/503375*c_0101_4^9 - 4443086507/2516875*c_0101_4^8 - 1000851762/2516875*c_0101_4^7 + 1893372437/2516875*c_0101_4^6 + 89943312/503375*c_0101_4^5 - 509598256/2516875*c_0101_4^4 - 138882256/2516875*c_0101_4^3 + 247596619/2516875*c_0101_4^2 - 12593116/2516875*c_0101_4 - 77608253/2516875, c_0101_0 - 68466527/2516875*c_0101_4^17 - 664177292/2516875*c_0101_4^16 - 134426862/503375*c_0101_4^15 + 4379408697/2516875*c_0101_4^14 + 4578756683/2516875*c_0101_4^13 - 9446424176/2516875*c_0101_4^12 - 7415321709/2516875*c_0101_4^11 + 9796452509/2516875*c_0101_4^10 + 799529974/503375*c_0101_4^9 - 6219711499/2516875*c_0101_4^8 - 933091284/2516875*c_0101_4^7 + 2578202884/2516875*c_0101_4^6 + 104386509/503375*c_0101_4^5 - 747061017/2516875*c_0101_4^4 - 121023392/2516875*c_0101_4^3 + 327853733/2516875*c_0101_4^2 - 32197912/2516875*c_0101_4 - 98901571/2516875, c_0101_1 - 120215031/2516875*c_0101_4^17 - 1151739701/2516875*c_0101_4^16 - 209575811/503375*c_0101_4^15 + 7761224541/2516875*c_0101_4^14 + 7091631599/2516875*c_0101_4^13 - 17014804753/2516875*c_0101_4^12 - 10864243777/2516875*c_0101_4^11 + 17447411427/2516875*c_0101_4^10 + 978903297/503375*c_0101_4^9 - 10395777647/2516875*c_0101_4^8 - 643345627/2516875*c_0101_4^7 + 4094759427/2516875*c_0101_4^6 + 129499152/503375*c_0101_4^5 - 1256863376/2516875*c_0101_4^4 - 96230376/2516875*c_0101_4^3 + 526414999/2516875*c_0101_4^2 - 98741436/2516875*c_0101_4 - 143785938/2516875, c_0101_2 - 116796427/2516875*c_0101_4^17 - 1114524442/2516875*c_0101_4^16 - 195680187/503375*c_0101_4^15 + 7552581472/2516875*c_0101_4^14 + 6598652033/2516875*c_0101_4^13 - 16587202501/2516875*c_0101_4^12 - 9912180134/2516875*c_0101_4^11 + 16880147059/2516875*c_0101_4^10 + 838676974/503375*c_0101_4^9 - 9868672674/2516875*c_0101_4^8 - 415928459/2516875*c_0101_4^7 + 3863468059/2516875*c_0101_4^6 + 111753009/503375*c_0101_4^5 - 1201911292/2516875*c_0101_4^4 - 53512167/2516875*c_0101_4^3 + 492708583/2516875*c_0101_4^2 - 103850437/2516875*c_0101_4 - 133161021/2516875, c_0101_4^18 + 9*c_0101_4^17 + 3*c_0101_4^16 - 71*c_0101_4^15 - 22*c_0101_4^14 + 186*c_0101_4^13 + 11*c_0101_4^12 - 221*c_0101_4^11 + 44*c_0101_4^10 + 132*c_0101_4^9 - 52*c_0101_4^8 - 46*c_0101_4^7 + 19*c_0101_4^6 + 16*c_0101_4^5 - 6*c_0101_4^4 - 6*c_0101_4^3 + 4*c_0101_4^2 + c_0101_4 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB