Magma V2.19-8 Tue Aug 20 2013 16:17:28 on localhost [Seed = 3802365479] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1695 geometric_solution 5.41094529 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 2 1 2 0132 0132 2310 2310 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 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 -1.691603203492 1.328940731504 0 0 3 3 0132 3201 3201 0132 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 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 0.365546163189 0.287176794478 0 0 4 4 3201 0132 3201 0132 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 -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 0.365546163189 0.287176794478 1 5 1 6 2310 0132 0132 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 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 1.113564002002 0.739009063309 2 5 2 6 2310 3201 0132 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1.113564002002 0.739009063309 5 3 4 5 3201 0132 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.731704476172 0.791283348489 6 6 3 4 1302 2031 0132 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 -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 0.717479512363 1.022103908471 ==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' : negation(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' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_0_6' : d['1'], 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : negation(d['c_0011_3']), 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : d['c_0011_3'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_3']), 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : negation(d['c_0011_3']), 'c_1100_2' : d['c_0011_3'], 'c_0101_6' : negation(d['c_0011_6']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : negation(d['c_0011_6']), 'c_0101_1' : d['c_0011_6'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : negation(d['c_0011_3']), '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' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0110_6']), 'c_1001_4' : negation(d['c_0101_5']), 'c_1001_6' : negation(d['c_0110_6']), 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : negation(d['c_0101_5']), 'c_1001_3' : d['c_0101_5'], 'c_1001_2' : negation(d['c_0101_4']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_6'], 'c_0110_3' : negation(d['c_0011_6']), 'c_0110_2' : d['c_0101_4'], 'c_0110_5' : negation(d['c_0101_5']), 'c_0110_4' : d['c_0011_6'], 'c_0110_6' : d['c_0110_6'], 'c_1010_6' : d['c_0011_6'], 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : d['c_0110_6'], 'c_1010_3' : negation(d['c_0110_6']), 'c_1010_2' : negation(d['c_0101_5']), 'c_1010_1' : d['c_0101_5'], 'c_1010_0' : negation(d['c_0101_4'])})} 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_4, c_0101_5, c_0110_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 15 Groebner basis: [ t - 14885620198389341750784/26067326530126065415*c_0110_6^14 + 4324839423368265107200/5213465306025213083*c_0110_6^13 - 9358297031110131749248/26067326530126065415*c_0110_6^12 - 5324776550145953690368/26067326530126065415*c_0110_6^11 - 24062655186660744774336/26067326530126065415*c_0110_6^10 - 37864869713440678615744/26067326530126065415*c_0110_6^9 - 29716997146188017356536/26067326530126065415*c_0110_6^8 - 7657334303298233402416/3723903790018009345*c_0110_6^7 - 52143669384766536478068/26067326530126065415*c_0110_6^6 - 8535341770880272747083/3723903790018009345*c_0110_6^5 - 33481570324989195135511/26067326530126065415*c_0110_6^4 - 1854213442610473995583/3723903790018009345*c_0110_6^3 - 913276985844490519666/26067326530126065415*c_0110_6^2 + 1442392275905539023449/26067326530126065415*c_0110_6 + 808382503951531957102/26067326530126065415, c_0011_0 - 1, c_0011_3 + 14026517147230969856/2369756957284187765*c_0110_6^14 - 9236277557408096256/473951391456837553*c_0110_6^13 + 7288217870439182336/338536708183455395*c_0110_6^12 - 13044405179353233408/2369756957284187765*c_0110_6^11 + 6298854593898834944/2369756957284187765*c_0110_6^10 + 1458413411109395456/2369756957284187765*c_0110_6^9 - 25447712111228940416/2369756957284187765*c_0110_6^8 + 12457921071387376768/2369756957284187765*c_0110_6^7 - 23909437797799213088/2369756957284187765*c_0110_6^6 - 14989063844069689856/2369756957284187765*c_0110_6^5 - 46354993944976253296/2369756957284187765*c_0110_6^4 - 16111186893700284096/2369756957284187765*c_0110_6^3 - 3448682769965326106/2369756957284187765*c_0110_6^2 + 1380089836602185344/2369756957284187765*c_0110_6 + 236303045386753077/2369756957284187765, c_0011_6 + 956388053449803633152/130336632650630327075*c_0110_6^14 - 401049130794166538496/26067326530126065415*c_0110_6^13 + 222858027355239838592/18619518950090046725*c_0110_6^12 + 120208658496908390144/130336632650630327075*c_0110_6^11 + 790752999730995860928/130336632650630327075*c_0110_6^10 + 1878938335181646319552/130336632650630327075*c_0110_6^9 + 585874654696763406248/130336632650630327075*c_0110_6^8 + 2500274004927301735296/130336632650630327075*c_0110_6^7 + 1630447804305448655444/130336632650630327075*c_0110_6^6 + 2075757362773282113663/130336632650630327075*c_0110_6^5 + 334629817786243900783/130336632650630327075*c_0110_6^4 + 115734653614641710798/130336632650630327075*c_0110_6^3 + 59669344463784815373/130336632650630327075*c_0110_6^2 - 91625575574820511857/130336632650630327075*c_0110_6 + 1037842809068238504/11848784786420938825, c_0101_0 + 119259333334006325248/2369756957284187765*c_0110_6^14 - 33807244386108596224/473951391456837553*c_0110_6^13 + 5160090450587742208/338536708183455395*c_0110_6^12 + 106001029198157454336/2369756957284187765*c_0110_6^11 + 154991803905225352192/2369756957284187765*c_0110_6^10 + 303602304837874633728/2369756957284187765*c_0110_6^9 + 204846715987596321152/2369756957284187765*c_0110_6^8 + 374512794212314702464/2369756957284187765*c_0110_6^7 + 398728590914976227776/2369756957284187765*c_0110_6^6 + 401921325759780277712/2369756957284187765*c_0110_6^5 + 210059631463195085312/2369756957284187765*c_0110_6^4 + 25748120203957419092/2369756957284187765*c_0110_6^3 - 15608224789931710208/2369756957284187765*c_0110_6^2 - 17493614423889245273/2369756957284187765*c_0110_6 - 3533692049285243584/2369756957284187765, c_0101_4 - 119259333334006325248/2369756957284187765*c_0110_6^14 + 33807244386108596224/473951391456837553*c_0110_6^13 - 5160090450587742208/338536708183455395*c_0110_6^12 - 106001029198157454336/2369756957284187765*c_0110_6^11 - 154991803905225352192/2369756957284187765*c_0110_6^10 - 303602304837874633728/2369756957284187765*c_0110_6^9 - 204846715987596321152/2369756957284187765*c_0110_6^8 - 374512794212314702464/2369756957284187765*c_0110_6^7 - 398728590914976227776/2369756957284187765*c_0110_6^6 - 401921325759780277712/2369756957284187765*c_0110_6^5 - 210059631463195085312/2369756957284187765*c_0110_6^4 - 25748120203957419092/2369756957284187765*c_0110_6^3 + 15608224789931710208/2369756957284187765*c_0110_6^2 + 17493614423889245273/2369756957284187765*c_0110_6 + 3533692049285243584/2369756957284187765, c_0101_5 + 644811109798553919488/18619518950090046725*c_0110_6^14 - 204465445661126744064/3723903790018009345*c_0110_6^13 + 474466715813691214336/18619518950090046725*c_0110_6^12 + 272267844198444244736/18619518950090046725*c_0110_6^11 + 960339242278462351232/18619518950090046725*c_0110_6^10 + 1475821558307153535488/18619518950090046725*c_0110_6^9 + 1000152356938572069312/18619518950090046725*c_0110_6^8 + 2040315372217927942624/18619518950090046725*c_0110_6^7 + 1864856635204534315736/18619518950090046725*c_0110_6^6 + 2133401237838732910672/18619518950090046725*c_0110_6^5 + 962601515487046753952/18619518950090046725*c_0110_6^4 + 203180969961098710937/18619518950090046725*c_0110_6^3 - 94741728476642954063/18619518950090046725*c_0110_6^2 - 94333277110110738858/18619518950090046725*c_0110_6 - 1978546545008941624/1692683540917276975, c_0110_6^15 - 3/2*c_0110_6^14 + 3/4*c_0110_6^13 + 1/4*c_0110_6^12 + 13/8*c_0110_6^11 + 5/2*c_0110_6^10 + 125/64*c_0110_6^9 + 233/64*c_0110_6^8 + 435/128*c_0110_6^7 + 2067/512*c_0110_6^6 + 563/256*c_0110_6^5 + 243/256*c_0110_6^4 + 51/512*c_0110_6^3 - 27/256*c_0110_6^2 - 7/128*c_0110_6 - 11/512 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB