Magma V2.19-8 Tue Aug 20 2013 16:16:19 on localhost [Seed = 3313785126] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0590 geometric_solution 4.60636270 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 0 0 0 0 0 0 0 0 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 2.809468217389 0.287887481934 0 2 2 0 3201 0132 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 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 -0.372212204154 0.176967409403 1 1 3 3 2310 0132 0132 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.473849924420 1.474188322638 2 4 5 2 3201 0132 0132 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.603981652230 0.244437250895 5 3 6 5 2031 0132 0132 3201 0 0 0 0 0 0 -1 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 -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 0.381827810098 0.753959015552 6 4 4 3 0132 2310 1302 0132 0 0 0 0 0 0 0 0 1 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 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 0.381827810098 0.753959015552 5 6 6 4 0132 1230 3012 0132 0 0 0 0 0 -1 0 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 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 -0.087257790689 0.960926245736 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { '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_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' : negation(d['c_0011_5']), 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : negation(d['c_0011_5']), '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_3'], 'c_1100_2' : d['c_0011_3'], 'c_0101_6' : negation(d['c_0011_0']), 'c_0101_5' : d['c_0011_3'], 'c_0101_4' : d['c_0011_3'], 'c_0101_3' : negation(d['c_0011_0']), 'c_0101_2' : d['c_0101_2'], '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' : negation(d['c_0011_3']), 'c_0011_6' : negation(d['c_0011_5']), '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' : d['c_0110_4'], 'c_1001_4' : negation(d['c_0011_0']), 'c_1001_6' : d['c_0011_5'], 'c_1001_1' : negation(d['c_0101_2']), 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0110_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' : d['c_0101_2'], 'c_0110_2' : d['c_0011_0'], 'c_0110_5' : negation(d['c_0011_0']), 'c_0110_4' : d['c_0110_4'], 'c_0110_6' : d['c_0011_3'], 'c_1010_6' : negation(d['c_0011_0']), 'c_1010_5' : negation(d['c_0110_4']), 'c_1010_4' : negation(d['c_0110_4']), 'c_1010_3' : negation(d['c_0011_0']), 'c_1010_2' : negation(d['c_0101_2']), '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_2, c_0110_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t + 1343996773630191/3244279739*c_0110_4^17 - 4547092931472203/6488559478*c_0110_4^16 - 18173043777460770/3244279739*c_0110_4^15 + 17243926520051656/3244279739*c_0110_4^14 + 193418409724280459/6488559478*c_0110_4^13 - 18561634084403895/3244279739*c_0110_4^12 - 441525946708214823/6488559478*c_0110_4^11 - 49260828393803444/3244279739*c_0110_4^10 + 550224010589111947/6488559478*c_0110_4^9 + 266275894536061411/3244279739*c_0110_4^8 - 158463116667281757/3244279739*c_0110_4^7 - 1027775041708257349/6488559478*c_0110_4^6 - 110084191397953488/3244279739*c_0110_4^5 + 587974076400482043/6488559478*c_0110_4^4 + 96033075281777404/3244279739*c_0110_4^3 - 112802302685400645/6488559478*c_0110_4^2 - 12016582970675789/3244279739*c_0110_4 + 8716602335913737/6488559478, c_0011_0 - 1, c_0011_1 - 16636465862229/3244279739*c_0110_4^17 + 56289823856005/6488559478*c_0110_4^16 + 224948129067215/3244279739*c_0110_4^15 - 213478975486332/3244279739*c_0110_4^14 - 2394132814523597/6488559478*c_0110_4^13 + 229902843961134/3244279739*c_0110_4^12 + 5465240878429007/6488559478*c_0110_4^11 + 609458504507140/3244279739*c_0110_4^10 - 6810874611908759/6488559478*c_0110_4^9 - 3295675951728036/3244279739*c_0110_4^8 + 1961827553124665/3244279739*c_0110_4^7 + 12721630737034133/6488559478*c_0110_4^6 + 1361979805826085/3244279739*c_0110_4^5 - 7278219984854459/6488559478*c_0110_4^4 - 1188389095708784/3244279739*c_0110_4^3 + 1396378052322223/6488559478*c_0110_4^2 + 148709458789833/3244279739*c_0110_4 - 107883505446737/6488559478, c_0011_3 - 6923030562799/12977118956*c_0110_4^17 + 11715953895495/12977118956*c_0110_4^16 + 46803857665069/6488559478*c_0110_4^15 - 88898287650437/12977118956*c_0110_4^14 - 498160040313097/12977118956*c_0110_4^13 + 96026861074983/12977118956*c_0110_4^12 + 1137429353562679/12977118956*c_0110_4^11 + 252860685197041/12977118956*c_0110_4^10 - 1418008060008287/12977118956*c_0110_4^9 - 342683230279756/3244279739*c_0110_4^8 + 818039221361005/12977118956*c_0110_4^7 + 2647355234407159/12977118956*c_0110_4^6 + 564735515896967/12977118956*c_0110_4^5 - 1516361523075497/12977118956*c_0110_4^4 - 493922353409813/12977118956*c_0110_4^3 + 291585067263867/12977118956*c_0110_4^2 + 61922661715459/12977118956*c_0110_4 - 22539505510803/12977118956, c_0011_5 + 1790298147119/12977118956*c_0110_4^17 - 3024505239065/12977118956*c_0110_4^16 - 12110020084555/6488559478*c_0110_4^15 + 22928791603065/12977118956*c_0110_4^14 + 128939835511283/12977118956*c_0110_4^13 - 24550326493195/12977118956*c_0110_4^12 - 294439680706181/12977118956*c_0110_4^11 - 65994439230461/12977118956*c_0110_4^10 + 367008863297209/12977118956*c_0110_4^9 + 88816086750085/3244279739*c_0110_4^8 - 211192978227317/12977118956*c_0110_4^7 - 685485324788753/12977118956*c_0110_4^6 - 147259680479935/12977118956*c_0110_4^5 + 392718967012891/12977118956*c_0110_4^4 + 128315463491869/12977118956*c_0110_4^3 - 75621595366513/12977118956*c_0110_4^2 - 16057439448259/12977118956*c_0110_4 + 5855905926565/12977118956, c_0101_0 + 39814226355859/12977118956*c_0110_4^17 - 67405607277527/12977118956*c_0110_4^16 - 269138122985555/6488559478*c_0110_4^15 + 511589127333013/12977118956*c_0110_4^14 + 2864396478924153/12977118956*c_0110_4^13 - 553922120691431/12977118956*c_0110_4^12 - 6540183878690339/12977118956*c_0110_4^11 - 1450466846034121/12977118956*c_0110_4^10 + 8154250746414727/12977118956*c_0110_4^9 + 1969558940454389/3244279739*c_0110_4^8 - 4707727823303237/12977118956*c_0110_4^7 - 15220662188457435/12977118956*c_0110_4^6 - 3239669100638823/12977118956*c_0110_4^5 + 8719376784384361/12977118956*c_0110_4^4 + 2836045523197465/12977118956*c_0110_4^3 - 1677003028695115/12977118956*c_0110_4^2 - 355559068493031/12977118956*c_0110_4 + 129650607715591/12977118956, c_0101_2 + 24860359160639/6488559478*c_0110_4^17 - 21041192694384/3244279739*c_0110_4^16 - 168056387991310/3244279739*c_0110_4^15 + 319351796501983/6488559478*c_0110_4^14 + 894302316527570/3244279739*c_0110_4^13 - 345391820584281/6488559478*c_0110_4^12 - 2041839022845916/3244279739*c_0110_4^11 - 906742450186423/6488559478*c_0110_4^10 + 2545507917126872/3244279739*c_0110_4^9 + 2460211621664175/3244279739*c_0110_4^8 - 2937909549520385/6488559478*c_0110_4^7 - 4752093550416127/3244279739*c_0110_4^6 - 2025463871378349/6488559478*c_0110_4^5 + 2721564001009518/3244279739*c_0110_4^4 + 1771956957401427/6488559478*c_0110_4^3 - 523175551529074/3244279739*c_0110_4^2 - 222072435066229/6488559478*c_0110_4 + 40443535489790/3244279739, c_0110_4^18 - 2*c_0110_4^17 - 13*c_0110_4^16 + 17*c_0110_4^15 + 68*c_0110_4^14 - 36*c_0110_4^13 - 160*c_0110_4^12 + 14*c_0110_4^11 + 216*c_0110_4^10 + 135*c_0110_4^9 - 179*c_0110_4^8 - 346*c_0110_4^7 + 36*c_0110_4^6 + 244*c_0110_4^5 + 4*c_0110_4^4 - 64*c_0110_4^3 + 4*c_0110_4^2 + 6*c_0110_4 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.240 seconds, Total memory usage: 32.09MB