Magma V2.19-8 Tue Aug 20 2013 16:15:48 on localhost [Seed = 223121702] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0020 geometric_solution 3.57879223 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 1 2 3 0132 3201 0132 0132 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 1 0 0 0 0 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 4.358323493548 9.761155842897 0 4 0 4 0132 0132 2310 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.372568544246 0.255056619663 3 5 6 0 1302 0132 0132 0132 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 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 -0.256597560928 0.166443537769 5 2 0 6 2031 2031 0132 0132 0 0 0 0 0 0 -1 1 0 0 0 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 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 0.073573203799 0.654145583167 1 1 4 4 3201 0132 2031 1302 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.458301940294 0.022822746270 6 2 3 6 1230 0132 1302 2310 0 0 0 0 0 1 0 -1 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 -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 0.037908282779 1.925239009710 5 5 3 2 3201 3012 0132 0132 0 0 0 0 0 1 -1 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 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 0.207698035008 0.415623949442 ==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' : negation(d['1']), 's_3_4' : d['1'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : negation(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' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : d['1'], 's_0_6' : negation(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_1100_0'], 'c_1100_5' : d['c_0011_6'], 'c_1100_4' : negation(d['c_0101_0']), 's_3_6' : negation(d['1']), 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_1100_0'], 'c_0101_6' : negation(d['c_0011_6']), 'c_0101_5' : negation(d['c_0011_3']), 'c_0101_4' : negation(d['c_0101_0']), 'c_0101_3' : d['c_0011_6'], 'c_0101_2' : negation(d['c_0011_3']), 'c_0101_1' : d['c_0011_6'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_2']), 'c_0011_4' : d['c_0011_0'], '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' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0011_6']), 'c_1001_4' : negation(d['c_0110_4']), 'c_1001_6' : d['c_0011_2'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_6']), 'c_1001_3' : negation(d['c_0101_0']), 'c_1001_2' : d['c_0011_3'], '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_0'], 'c_0110_5' : d['c_0011_6'], 'c_0110_4' : d['c_0110_4'], 'c_0110_6' : negation(d['c_0011_3']), 'c_1010_6' : d['c_0011_3'], 'c_1010_5' : d['c_0011_3'], 'c_1010_4' : d['c_0101_0'], 'c_1010_3' : d['c_0011_2'], 'c_1010_2' : negation(d['c_0011_6']), 'c_1010_1' : negation(d['c_0110_4']), '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_0011_3, c_0011_6, c_0101_0, c_0110_4, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t + 4423622309510035/2670950929236808*c_1100_0^11 + 72693750743200621/21367607433894464*c_1100_0^10 - 5558670877089171/5341901858473616*c_1100_0^9 - 187631034126987663/10683803716947232*c_1100_0^8 - 38594576852997867/10683803716947232*c_1100_0^7 - 203771328860729235/21367607433894464*c_1100_0^6 + 832645439663304653/21367607433894464*c_1100_0^5 + 65358165081603519/10683803716947232*c_1100_0^4 + 133238980829215499/21367607433894464*c_1100_0^3 + 67735766290201723/10683803716947232*c_1100_0^2 - 53601180430243323/21367607433894464*c_1100_0 + 123490584189523665/5341901858473616, c_0011_0 - 1, c_0011_2 + 115587492943537/333868866154601*c_1100_0^11 + 2222801082836591/2670950929236808*c_1100_0^10 - 101379075989129/333868866154601*c_1100_0^9 - 5789877176016389/1335475464618404*c_1100_0^8 - 1699341863206361/1335475464618404*c_1100_0^7 + 4805431550029767/2670950929236808*c_1100_0^6 + 17229505495599435/2670950929236808*c_1100_0^5 + 3038007688641363/1335475464618404*c_1100_0^4 - 12525813188231839/2670950929236808*c_1100_0^3 + 3618971066254995/1335475464618404*c_1100_0^2 + 11835303049017207/2670950929236808*c_1100_0 + 233400949562136/333868866154601, c_0011_3 - 227030318870790/333868866154601*c_1100_0^11 - 2735098820752925/1335475464618404*c_1100_0^10 - 92285793330424/333868866154601*c_1100_0^9 + 6179367188073589/667737732309202*c_1100_0^8 + 5222775613902837/667737732309202*c_1100_0^7 - 4510997487970289/1335475464618404*c_1100_0^6 - 21417965473416477/1335475464618404*c_1100_0^5 - 8283351040718799/667737732309202*c_1100_0^4 + 10848698142815805/1335475464618404*c_1100_0^3 + 1772827505500335/667737732309202*c_1100_0^2 - 15950475122603629/1335475464618404*c_1100_0 - 2166139647110710/333868866154601, c_0011_6 - 147812474496745/333868866154601*c_1100_0^11 - 3446167745371063/2670950929236808*c_1100_0^10 - 23959083519957/333868866154601*c_1100_0^9 + 7974308276953781/1335475464618404*c_1100_0^8 + 5992998789872989/1335475464618404*c_1100_0^7 - 6499249047767295/2670950929236808*c_1100_0^6 - 26533145360903147/2670950929236808*c_1100_0^5 - 9169006164107903/1335475464618404*c_1100_0^4 + 16531348093053455/2670950929236808*c_1100_0^3 + 135584353793213/1335475464618404*c_1100_0^2 - 22146363685858031/2670950929236808*c_1100_0 - 1169575300291964/333868866154601, c_0101_0 - 96392114341/90454854011*c_1100_0^11 - 2342297301307/723638832088*c_1100_0^10 - 40776010058/90454854011*c_1100_0^9 + 5267465291233/361819416044*c_1100_0^8 + 4519438980325/361819416044*c_1100_0^7 - 3914652150011/723638832088*c_1100_0^6 - 17673834807575/723638832088*c_1100_0^5 - 7449770817259/361819416044*c_1100_0^4 + 9445011470795/723638832088*c_1100_0^3 + 1158850136497/361819416044*c_1100_0^2 - 14413868375819/723638832088*c_1100_0 - 846485905480/90454854011, c_0110_4 - 162693646282644/333868866154601*c_1100_0^11 - 987648313611915/667737732309202*c_1100_0^10 - 55445056862199/333868866154601*c_1100_0^9 + 2243756240173296/333868866154601*c_1100_0^8 + 1866499314966699/333868866154601*c_1100_0^7 - 1976800868393439/667737732309202*c_1100_0^6 - 7377226869647569/667737732309202*c_1100_0^5 - 3009641264731022/333868866154601*c_1100_0^4 + 4586805102244455/667737732309202*c_1100_0^3 + 555033432710000/333868866154601*c_1100_0^2 - 6787042705227707/667737732309202*c_1100_0 - 1347657734867517/333868866154601, c_1100_0^12 + 31/8*c_1100_0^11 + 3*c_1100_0^10 - 53/4*c_1100_0^9 - 93/4*c_1100_0^8 - 41/8*c_1100_0^7 + 219/8*c_1100_0^6 + 155/4*c_1100_0^5 + 33/8*c_1100_0^4 - 53/4*c_1100_0^3 + 127/8*c_1100_0^2 + 25*c_1100_0 + 8 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB