Magma V2.19-8 Tue Aug 20 2013 16:19:01 on localhost [Seed = 1090575401] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3170 geometric_solution 6.31894072 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 4 0132 0132 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.567050944619 0.565925143574 0 5 5 6 0132 0132 1230 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 0.026023352595 0.548414948531 3 0 4 4 2103 0132 1230 2031 0 0 0 0 0 0 0 0 0 0 0 0 -1 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 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 0.622110322148 1.232393358016 6 5 2 0 1023 3012 2103 0132 0 0 0 0 0 0 1 -1 0 0 0 0 1 0 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 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 0.426860732049 0.404389780241 5 2 0 2 2031 1302 0132 3012 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 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 -0.146405467270 1.302219224963 3 1 4 1 1230 0132 1302 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.622110322148 1.232393358016 6 3 1 6 3012 1023 0132 1230 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 -1 0 0 1 -1 0 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.410220314552 1.749458814123 ==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' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_2_0' : negation(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' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : negation(d['1']), 's_1_2' : d['1'], 's_1_1' : negation(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_0011_3'], 'c_1100_5' : d['c_0101_1'], 'c_1100_4' : negation(d['c_0110_2']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_3'], 'c_1100_0' : negation(d['c_0110_2']), 'c_1100_3' : negation(d['c_0110_2']), 'c_1100_2' : d['c_0101_2'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0011_4']), 'c_0101_4' : d['c_0101_1'], '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_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : 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_0101_2'], 'c_1001_4' : d['c_0110_2'], 'c_1001_6' : d['c_0101_2'], 'c_1001_1' : negation(d['c_0101_1']), 'c_1001_0' : d['c_0011_4'], 'c_1001_3' : negation(d['c_0011_0']), 'c_1001_2' : d['c_0110_2'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0110_2'], 'c_0110_5' : d['c_0011_3'], 'c_0110_4' : d['c_0101_2'], 'c_0110_6' : d['c_0011_3'], 'c_1010_6' : d['c_0101_0'], 'c_1010_5' : negation(d['c_0101_1']), 'c_1010_4' : negation(d['c_0101_2']), 'c_1010_3' : d['c_0011_4'], 'c_1010_2' : d['c_0011_4'], 'c_1010_1' : d['c_0101_2'], 'c_1010_0' : d['c_0110_2']})} 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_0101_0, c_0101_1, c_0101_2, c_0110_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t + 24661324525485052/141422044565705*c_0110_2^15 + 39595785936634942/28284408913141*c_0110_2^14 + 46357891656842555/28284408913141*c_0110_2^13 - 800558376983630712/141422044565705*c_0110_2^12 - 802659859836969738/141422044565705*c_0110_2^11 + 376976687769022491/141422044565705*c_0110_2^10 + 575482752546448224/141422044565705*c_0110_2^9 + 142653288783386581/141422044565705*c_0110_2^8 - 298675288438281807/141422044565705*c_0110_2^7 - 76510982083826544/141422044565705*c_0110_2^6 + 33823803576828805/28284408913141*c_0110_2^5 + 60172803163096377/141422044565705*c_0110_2^4 - 57668222427962011/141422044565705*c_0110_2^3 - 10064501155342326/28284408913141*c_0110_2^2 + 11326748839765606/141422044565705*c_0110_2 + 14800782588318299/141422044565705, c_0011_0 - 1, c_0011_3 - 83027052389044/6148784546335*c_0110_2^15 - 648561374061998/6148784546335*c_0110_2^14 - 649806491753299/6148784546335*c_0110_2^13 + 2759208920542197/6148784546335*c_0110_2^12 + 2026739868494078/6148784546335*c_0110_2^11 - 1401400118652939/6148784546335*c_0110_2^10 - 1441234471509553/6148784546335*c_0110_2^9 - 297333588571543/6148784546335*c_0110_2^8 + 1029291656103962/6148784546335*c_0110_2^7 + 15394080423297/1229756909267*c_0110_2^6 - 490110357746458/6148784546335*c_0110_2^5 - 120005147139388/6148784546335*c_0110_2^4 + 186584058344097/6148784546335*c_0110_2^3 + 131272939181539/6148784546335*c_0110_2^2 - 10098704785455/1229756909267*c_0110_2 - 33485061458046/6148784546335, c_0011_4 - 15037765652324/6148784546335*c_0110_2^15 - 118322552825534/6148784546335*c_0110_2^14 - 125999127228907/6148784546335*c_0110_2^13 + 481049500832903/6148784546335*c_0110_2^12 + 387364268280802/6148784546335*c_0110_2^11 - 178727270619863/6148784546335*c_0110_2^10 - 259217780820883/6148784546335*c_0110_2^9 - 16396139265747/1229756909267*c_0110_2^8 + 171787887841473/6148784546335*c_0110_2^7 - 2026190060471/6148784546335*c_0110_2^6 - 80114441039784/6148784546335*c_0110_2^5 - 39742765120341/6148784546335*c_0110_2^4 + 29121792380792/6148784546335*c_0110_2^3 + 26488325561242/6148784546335*c_0110_2^2 - 7905778276391/6148784546335*c_0110_2 - 584055887377/6148784546335, c_0101_0 - 11153553767812/1229756909267*c_0110_2^15 - 436089874616862/6148784546335*c_0110_2^14 - 443935174826891/6148784546335*c_0110_2^13 + 1819109796932397/6148784546335*c_0110_2^12 + 1343758812028638/6148784546335*c_0110_2^11 - 797755241484183/6148784546335*c_0110_2^10 - 169743584378658/1229756909267*c_0110_2^9 - 270532989526639/6148784546335*c_0110_2^8 + 564715303544542/6148784546335*c_0110_2^7 + 2579187394603/6148784546335*c_0110_2^6 - 285737585070132/6148784546335*c_0110_2^5 - 76701406273591/6148784546335*c_0110_2^4 + 19570073766636/1229756909267*c_0110_2^3 + 73155171865111/6148784546335*c_0110_2^2 - 25108017394932/6148784546335*c_0110_2 - 13391825639477/6148784546335, c_0101_1 + 8699541445064/6148784546335*c_0110_2^15 + 67639780057236/6148784546335*c_0110_2^14 + 64877894395698/6148784546335*c_0110_2^13 - 58874115267088/1229756909267*c_0110_2^12 - 36910270309208/1229756909267*c_0110_2^11 + 201896756427576/6148784546335*c_0110_2^10 + 71590240170788/6148784546335*c_0110_2^9 - 43417682286631/6148784546335*c_0110_2^8 - 20177390129812/1229756909267*c_0110_2^7 + 13060742562473/6148784546335*c_0110_2^6 + 78239517277996/6148784546335*c_0110_2^5 - 7368401761163/6148784546335*c_0110_2^4 - 18973321303977/6148784546335*c_0110_2^3 - 5697220632423/6148784546335*c_0110_2^2 + 15245805188913/6148784546335*c_0110_2 + 1999399786474/6148784546335, c_0101_2 - 1400802405816/6148784546335*c_0110_2^15 - 14212077784672/6148784546335*c_0110_2^14 - 32029805016596/6148784546335*c_0110_2^13 + 56421796858593/6148784546335*c_0110_2^12 + 182181885207867/6148784546335*c_0110_2^11 - 85767753899496/6148784546335*c_0110_2^10 - 203138090857132/6148784546335*c_0110_2^9 - 11515195075927/6148784546335*c_0110_2^8 + 84801002743108/6148784546335*c_0110_2^7 + 14479181681327/1229756909267*c_0110_2^6 - 50906055930222/6148784546335*c_0110_2^5 - 26855599681462/6148784546335*c_0110_2^4 + 19957849152413/6148784546335*c_0110_2^3 + 12703093710351/6148784546335*c_0110_2^2 - 735442087761/1229756909267*c_0110_2 - 7364937457784/6148784546335, c_0110_2^16 + 17/2*c_0110_2^15 + 53/4*c_0110_2^14 - 55/2*c_0110_2^13 - 47*c_0110_2^12 - 3/2*c_0110_2^11 + 28*c_0110_2^10 + 65/4*c_0110_2^9 - 9*c_0110_2^8 - 35/4*c_0110_2^7 + 5*c_0110_2^6 + 11/2*c_0110_2^5 - c_0110_2^4 - 3*c_0110_2^3 - 1/2*c_0110_2^2 + 3/4*c_0110_2 + 1/4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.220 seconds, Total memory usage: 32.09MB