Magma V2.19-8 Tue Aug 20 2013 16:18:21 on localhost [Seed = 3398129636] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2558 geometric_solution 5.86445246 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 1 0132 0132 0132 1302 0 0 0 0 0 -1 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 0 0 0 0 0 1 -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 1.534817090150 0.830559709112 0 2 0 4 0132 1230 2031 0132 0 0 0 0 0 0 0 0 1 0 -1 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 -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 0.710365743404 0.626312715822 4 0 1 5 3201 0132 3012 0132 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 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 1.140965860100 0.816262790732 6 5 6 0 0132 2310 2310 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 0.847314941312 0.443340067421 6 6 1 2 2103 0321 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.531228300138 0.546200151594 5 5 2 3 1230 3012 0132 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 -1 0 1 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 0.780313921078 0.867333408269 3 3 4 4 0132 3201 2103 0321 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.578888042582 0.274094758287 ==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' : negation(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' : negation(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_0101_2'], 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : negation(d['c_0011_0']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : negation(d['c_0011_3']), 'c_1100_3' : negation(d['c_0011_3']), 'c_1100_2' : negation(d['c_0011_3']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : negation(d['c_0011_4']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_3']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_4'], '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' : negation(d['c_0011_5']), 'c_1001_4' : d['c_0101_2'], 'c_1001_6' : d['c_0011_4'], 'c_1001_1' : d['c_0011_3'], 'c_1001_0' : negation(d['c_0011_5']), 'c_1001_3' : d['c_0101_5'], 'c_1001_2' : d['c_0011_0'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_3']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_5'], 'c_0110_5' : d['c_0011_5'], 'c_0110_4' : negation(d['c_0101_2']), 'c_0110_6' : negation(d['c_0011_4']), 'c_1010_6' : negation(d['c_0101_5']), 'c_1010_5' : negation(d['c_0101_5']), 'c_1010_4' : negation(d['c_0101_5']), 'c_1010_3' : negation(d['c_0011_5']), 'c_1010_2' : negation(d['c_0011_5']), 'c_1010_1' : d['c_0101_2'], 'c_1010_0' : d['c_0011_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_4, c_0011_5, c_0101_0, c_0101_2, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 17 Groebner basis: [ t - 64689034218280/66276575340493*c_0101_5^16 + 154213171785413/66276575340493*c_0101_5^15 + 552346692825815/66276575340493*c_0101_5^14 - 706073363749079/66276575340493*c_0101_5^13 - 2406881906708074/66276575340493*c_0101_5^12 + 249152300258280/66276575340493*c_0101_5^11 + 3946184514576954/66276575340493*c_0101_5^10 + 1902200654009986/66276575340493*c_0101_5^9 - 909569916209208/66276575340493*c_0101_5^8 + 21933514822242/9468082191499*c_0101_5^7 - 1516907942003061/66276575340493*c_0101_5^6 - 471623139022169/9468082191499*c_0101_5^5 + 518745699927394/66276575340493*c_0101_5^4 + 2588758604615031/66276575340493*c_0101_5^3 - 331466517648479/66276575340493*c_0101_5^2 - 155181306463222/9468082191499*c_0101_5 + 125490746098058/66276575340493, c_0011_0 - 1, c_0011_3 - 6102072949/230928833939*c_0101_5^16 + 30905256321/230928833939*c_0101_5^15 - 25074010813/230928833939*c_0101_5^14 - 84274876365/230928833939*c_0101_5^13 + 148010542285/230928833939*c_0101_5^12 + 131012008216/230928833939*c_0101_5^11 - 466499799513/230928833939*c_0101_5^10 - 360377904088/230928833939*c_0101_5^9 + 427813827511/230928833939*c_0101_5^8 + 629597233365/230928833939*c_0101_5^7 + 205755692250/230928833939*c_0101_5^6 + 552372287504/230928833939*c_0101_5^5 - 110707365125/230928833939*c_0101_5^4 - 552298340015/230928833939*c_0101_5^3 - 389805418093/230928833939*c_0101_5^2 + 354683197195/230928833939*c_0101_5 - 81627243921/230928833939, c_0011_4 + 3214135420/230928833939*c_0101_5^16 - 7242268873/230928833939*c_0101_5^15 - 78106472252/230928833939*c_0101_5^14 + 174374350782/230928833939*c_0101_5^13 + 410087919411/230928833939*c_0101_5^12 - 505968036433/230928833939*c_0101_5^11 - 1302612639966/230928833939*c_0101_5^10 - 88396810274/230928833939*c_0101_5^9 + 1105660752577/230928833939*c_0101_5^8 + 1023420560747/230928833939*c_0101_5^7 + 1144613498100/230928833939*c_0101_5^6 + 1331666047279/230928833939*c_0101_5^5 - 485982702626/230928833939*c_0101_5^4 - 1080139964512/230928833939*c_0101_5^3 - 731962552388/230928833939*c_0101_5^2 - 48262982369/230928833939*c_0101_5 - 394479724780/230928833939, c_0011_5 + 40690662642/230928833939*c_0101_5^16 - 121333219454/230928833939*c_0101_5^15 - 278857189946/230928833939*c_0101_5^14 + 606063441145/230928833939*c_0101_5^13 + 1205087813926/230928833939*c_0101_5^12 - 767802275910/230928833939*c_0101_5^11 - 2208254072633/230928833939*c_0101_5^10 - 484287778164/230928833939*c_0101_5^9 + 668027019722/230928833939*c_0101_5^8 + 280947743355/230928833939*c_0101_5^7 + 1694253254666/230928833939*c_0101_5^6 + 1566174942462/230928833939*c_0101_5^5 - 902739307316/230928833939*c_0101_5^4 - 1390043612882/230928833939*c_0101_5^3 + 6343010487/230928833939*c_0101_5^2 + 122831830226/230928833939*c_0101_5 - 132250101794/230928833939, c_0101_0 - 6855343226/230928833939*c_0101_5^16 - 20092870921/230928833939*c_0101_5^15 + 204382875079/230928833939*c_0101_5^14 + 40545449269/230928833939*c_0101_5^13 - 931669497183/230928833939*c_0101_5^12 - 500421121339/230928833939*c_0101_5^11 + 1572000053189/230928833939*c_0101_5^10 + 1519722055492/230928833939*c_0101_5^9 - 143503359814/230928833939*c_0101_5^8 - 620081791231/230928833939*c_0101_5^7 - 941771815389/230928833939*c_0101_5^6 - 2231658806325/230928833939*c_0101_5^5 - 463052747500/230928833939*c_0101_5^4 + 1041714374258/230928833939*c_0101_5^3 + 794210561133/230928833939*c_0101_5^2 - 182770217202/230928833939*c_0101_5 + 271478686414/230928833939, c_0101_2 + 1148573003/230928833939*c_0101_5^16 + 13557973156/230928833939*c_0101_5^15 - 28973900103/230928833939*c_0101_5^14 - 172077779483/230928833939*c_0101_5^13 + 87851701357/230928833939*c_0101_5^12 + 687027356574/230928833939*c_0101_5^11 + 388122470333/230928833939*c_0101_5^10 - 543328990246/230928833939*c_0101_5^9 - 803342885215/230928833939*c_0101_5^8 - 842429393576/230928833939*c_0101_5^7 - 917493068500/230928833939*c_0101_5^6 - 126709104787/230928833939*c_0101_5^5 + 997393308735/230928833939*c_0101_5^4 + 516943924867/230928833939*c_0101_5^3 + 108902879403/230928833939*c_0101_5^2 + 39620659123/230928833939*c_0101_5 + 180599406567/230928833939, c_0101_5^17 - 2*c_0101_5^16 - 9*c_0101_5^15 + 6*c_0101_5^14 + 39*c_0101_5^13 + 19*c_0101_5^12 - 51*c_0101_5^11 - 68*c_0101_5^10 - 25*c_0101_5^9 + 37*c_0101_5^7 + 77*c_0101_5^6 + 46*c_0101_5^5 - 24*c_0101_5^4 - 27*c_0101_5^3 - 7*c_0101_5^2 - 4*c_0101_5 - 7 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.210 seconds, Total memory usage: 32.09MB