Magma V2.19-8 Tue Aug 20 2013 16:17:25 on localhost [Seed = 1511769747] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1652 geometric_solution 5.39249099 oriented_manifold CS_known -0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 1 1 2 3 0132 3201 0132 0132 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 1 -1 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 0.294945460162 0.472329128544 0 1 0 1 0132 2310 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 -1.171957191185 0.649858110575 4 5 3 0 0132 0132 2031 0132 0 0 0 0 0 0 0 0 0 0 -1 1 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 1 0 -1 0 0 -1 1 1 -1 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.663643201252 0.666402098900 5 4 0 2 2310 2310 0132 1302 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 -2 1 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 0.663643201252 0.666402098900 2 6 6 3 0132 0132 1023 3201 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 -1 -1 0 2 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.433195569842 0.538247047396 5 2 3 5 3012 0132 3201 1230 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 -1 0 1 -1 0 0 1 -1 1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.249708699641 0.753410411502 6 4 4 6 3012 0132 1023 1230 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 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.782257772753 0.720689525931 ==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' : negation(d['1']), 's_3_2' : negation(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' : negation(d['1']), 's_2_3' : negation(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_2'], 'c_1100_5' : negation(d['c_0011_2']), 'c_1100_4' : negation(d['c_0011_2']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : d['c_0101_2'], 'c_1100_3' : d['c_0101_2'], 'c_1100_2' : d['c_0101_2'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_2']), 'c_0011_4' : negation(d['c_0011_2']), 'c_0011_6' : d['c_0011_2'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_2'], 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0101_1']), 'c_1001_4' : d['c_0101_6'], 'c_1001_6' : d['c_0101_0'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_0']), 'c_1001_2' : d['c_0101_5'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0101_5']), 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : negation(d['c_0011_2']), 'c_0110_4' : d['c_0101_2'], 'c_0110_6' : d['c_0011_2'], 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : d['c_0101_0'], 'c_1010_3' : negation(d['c_0101_2']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0101_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_2, c_0101_0, c_0101_1, c_0101_2, c_0101_5, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 24 Groebner basis: [ t - 4057587495340681/41996060944472*c_0101_1*c_0101_6^11 - 351109241955057/244163145026*c_0101_1*c_0101_6^10 + 40035376595613907/20998030472236*c_0101_1*c_0101_6^9 + 221888098032916119/41996060944472*c_0101_1*c_0101_6^8 - 14680203618213867/20998030472236*c_0101_1*c_0101_6^7 - 33280568107698791/41996060944472*c_0101_1*c_0101_6^6 + 4225273258041925/488326290052*c_0101_1*c_0101_6^5 + 132916306603329433/20998030472236*c_0101_1*c_0101_6^4 - 213183765977253123/41996060944472*c_0101_1*c_0101_6^3 - 2522316983638247/488326290052*c_0101_1*c_0101_6^2 + 42891632968228779/41996060944472*c_0101_1*c_0101_6 + 44006599814718019/41996060944472*c_0101_1, c_0011_0 - 1, c_0011_2 - 31182832623/181017504071*c_0101_1*c_0101_6^11 - 10797371661/4209709397*c_0101_1*c_0101_6^10 + 608784780130/181017504071*c_0101_1*c_0101_6^9 + 1652825638781/181017504071*c_0101_1*c_0101_6^8 - 112879196315/181017504071*c_0101_1*c_0101_6^7 - 123671382569/181017504071*c_0101_1*c_0101_6^6 + 63327035479/4209709397*c_0101_1*c_0101_6^5 + 2159678129659/181017504071*c_0101_1*c_0101_6^4 - 1274228641183/181017504071*c_0101_1*c_0101_6^3 - 37961584635/4209709397*c_0101_1*c_0101_6^2 + 197947099651/181017504071*c_0101_1*c_0101_6 + 253610979015/181017504071*c_0101_1, c_0101_0 - 71186683877/1448140032568*c_0101_1*c_0101_6^11 - 3038682981/4209709397*c_0101_1*c_0101_6^10 + 755334617529/724070016284*c_0101_1*c_0101_6^9 + 2075054123839/1448140032568*c_0101_1*c_0101_6^8 + 596735687085/724070016284*c_0101_1*c_0101_6^7 + 3967783479133/1448140032568*c_0101_1*c_0101_6^6 + 59745838499/16838837588*c_0101_1*c_0101_6^5 + 2585036865843/724070016284*c_0101_1*c_0101_6^4 + 3881673619445/1448140032568*c_0101_1*c_0101_6^3 + 21931357013/16838837588*c_0101_1*c_0101_6^2 - 1445209188385/1448140032568*c_0101_1*c_0101_6 - 1906172867389/1448140032568*c_0101_1, c_0101_1^2 - 20394547377/99871726384*c_0101_6^11 - 414199935/145162393*c_0101_6^10 + 334265557969/49935863192*c_0101_6\ ^9 + 603823033931/99871726384*c_0101_6^8 - 416943309987/49935863192*c_0101_6^7 + 289935264385/99871726384*c_0101_6^6 + 17898647751/1161299144*c_0101_6^5 - 33197571277/49935863192*c_0101_6^4 - 1561681501271/99871726384*c_0101_6^3 - 1541776819/1161299144*c_0101_6^2 + 455793144739/99871726384*c_0101_6 + 3991828447/99871726384, c_0101_2 + 5910632273/49935863192*c_0101_6^11 + 234169321/145162393*c_0101_6^10 - 112009561033/24967931596*c_0101_6\ ^9 - 136328196395/49935863192*c_0101_6^8 + 165835158459/24967931596*c_0101_6^7 - 47428904785/49935863192*c_0101_6^6 - 5148856179/580649572*c_0101_6^5 + 92088911561/24967931596*c_0101_6^4 + 620754741743/49935863192*c_0101_6^3 + 338040623/580649572*c_0101_6^2 - 211465549659/49935863192*c_0101_6 - 27758360319/49935863192, c_0101_5 - 1673031297/24967931596*c_0101_6^11 - 150759015/145162393*c_0101_6^10 + 9622741293/12483965798*c_0101_6^9 + 132683434531/24967931596*c_0101_6^8 - 9995929103/12483965798*c_0101_6^7 - 30261933523/24967931596*c_0101_6^6 + 2438551191/290324786*c_0101_6^5 + 76931190225/12483965798*c_0101_6^4 - 95805016303/24967931596*c_0101_6^3 - 1035413567/290324786*c_0101_6^2 + 39414492683/24967931596*c_0101_6 + 12383572811/24967931596, c_0101_6^12 + 15*c_0101_6^11 - 18*c_0101_6^10 - 57*c_0101_6^9 + c_0101_6^8 + 9*c_0101_6^7 - 89*c_0101_6^6 - 76*c_0101_6^5 + 45*c_0101_6^4 + 59*c_0101_6^3 - 5*c_0101_6^2 - 12*c_0101_6 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB