Magma V2.19-8 Tue Aug 20 2013 16:18:49 on localhost [Seed = 3086363338] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2989 geometric_solution 6.16827711 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 1 0132 0132 0132 3201 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.054736659856 1.093105125348 0 0 5 4 0132 2310 0132 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.977512685824 0.504015249041 6 0 3 4 0132 0132 2103 3120 0 0 0 0 0 -1 1 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 -1 0 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.109877772763 1.116822856300 2 5 6 0 2103 3120 1023 0132 0 0 0 0 0 -1 0 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 -1 0 1 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 0.109877772763 1.116822856300 2 5 1 5 3120 2031 0132 3012 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 0 0 0 0 0 0.827983819796 0.573341204179 4 3 4 1 1302 3120 1230 0132 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 0 0.827983819796 0.573341204179 2 6 3 6 0132 2310 1023 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.452795367396 0.328461857330 ==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' : d['1'], 's_3_4' : 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' : 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' : negation(d['c_0011_0']), 'c_1100_5' : d['c_0101_6'], 'c_1100_4' : d['c_0101_6'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0101_6'], 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : negation(d['c_0101_0']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0011_4']), 'c_0101_4' : d['c_0101_0'], '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_4'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : d['c_0011_0'], '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_0101_6']), 'c_1001_4' : negation(d['c_0101_1']), 'c_1001_6' : d['c_0101_2'], 'c_1001_1' : negation(d['c_0011_3']), 'c_1001_0' : negation(d['c_0011_4']), 'c_1001_3' : d['c_0101_6'], 'c_1001_2' : d['c_0011_3'], '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_0101_6'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_6'], 'c_0110_6' : d['c_0101_2'], 'c_1010_6' : negation(d['c_0101_2']), 'c_1010_5' : negation(d['c_0011_3']), 'c_1010_4' : d['c_0011_4'], 'c_1010_3' : negation(d['c_0011_4']), 'c_1010_2' : negation(d['c_0011_4']), 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : d['c_0011_3']})} 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_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 19 Groebner basis: [ t + 1284537779928657/7131936344635*c_0101_6^18 + 2946808357536336/7131936344635*c_0101_6^17 + 271473288934699/1426387268927*c_0101_6^16 - 1202823366469448/7131936344635*c_0101_6^15 - 2027473037756738/7131936344635*c_0101_6^14 - 1652400057756816/7131936344635*c_0101_6^13 - 61161237975579/7131936344635*c_0101_6^12 - 572506458799007/7131936344635*c_0101_6^11 - 960819586965003/7131936344635*c_0101_6^10 + 1784289584352322/7131936344635*c_0101_6^9 - 3879642237094898/7131936344635*c_0101_6^8 - 1890695822230163/7131936344635*c_0101_6^7 + 224193209283236/7131936344635*c_0101_6^6 - 1609853357208524/7131936344635*c_0101_6^5 + 1596831290420917/7131936344635*c_0101_6^4 + 1336776716421301/7131936344635*c_0101_6^3 + 407217863000739/7131936344635*c_0101_6^2 + 95376187984200/1426387268927*c_0101_6 + 144679572643303/7131936344635, c_0011_0 - 1, c_0011_3 - 170839410321654/7131936344635*c_0101_6^18 - 423231197183209/7131936344635*c_0101_6^17 - 230100744301878/7131936344635*c_0101_6^16 + 158369273989213/7131936344635*c_0101_6^15 + 287898993324696/7131936344635*c_0101_6^14 + 48199138467969/1426387268927*c_0101_6^13 + 25618866191277/7131936344635*c_0101_6^12 + 68082616207392/7131936344635*c_0101_6^11 + 153486425527226/7131936344635*c_0101_6^10 - 232668981826456/7131936344635*c_0101_6^9 + 467173521030807/7131936344635*c_0101_6^8 + 77254486716083/1426387268927*c_0101_6^7 - 14950987045700/1426387268927*c_0101_6^6 + 251116990818389/7131936344635*c_0101_6^5 - 189125181576864/7131936344635*c_0101_6^4 - 221414419246459/7131936344635*c_0101_6^3 - 47209610953706/7131936344635*c_0101_6^2 - 81906510458557/7131936344635*c_0101_6 - 24495761415323/7131936344635, c_0011_4 - 222157843448157/7131936344635*c_0101_6^18 - 595195410290479/7131936344635*c_0101_6^17 - 377356894649837/7131936344635*c_0101_6^16 + 225993878697806/7131936344635*c_0101_6^15 + 453759639294358/7131936344635*c_0101_6^14 + 345536680799058/7131936344635*c_0101_6^13 + 6307664598847/1426387268927*c_0101_6^12 + 52786082927924/7131936344635*c_0101_6^11 + 225300704886603/7131936344635*c_0101_6^10 - 52938748925518/1426387268927*c_0101_6^9 + 521749856399512/7131936344635*c_0101_6^8 + 668885062648854/7131936344635*c_0101_6^7 - 89800623709223/7131936344635*c_0101_6^6 + 231511853399268/7131936344635*c_0101_6^5 - 158382779915727/7131936344635*c_0101_6^4 - 372312787687524/7131936344635*c_0101_6^3 - 78334616619506/7131936344635*c_0101_6^2 - 78031525604548/7131936344635*c_0101_6 - 43382274991816/7131936344635, c_0101_0 - 170839410321654/7131936344635*c_0101_6^18 - 423231197183209/7131936344635*c_0101_6^17 - 230100744301878/7131936344635*c_0101_6^16 + 158369273989213/7131936344635*c_0101_6^15 + 287898993324696/7131936344635*c_0101_6^14 + 48199138467969/1426387268927*c_0101_6^13 + 25618866191277/7131936344635*c_0101_6^12 + 68082616207392/7131936344635*c_0101_6^11 + 153486425527226/7131936344635*c_0101_6^10 - 232668981826456/7131936344635*c_0101_6^9 + 467173521030807/7131936344635*c_0101_6^8 + 77254486716083/1426387268927*c_0101_6^7 - 14950987045700/1426387268927*c_0101_6^6 + 251116990818389/7131936344635*c_0101_6^5 - 189125181576864/7131936344635*c_0101_6^4 - 221414419246459/7131936344635*c_0101_6^3 - 47209610953706/7131936344635*c_0101_6^2 - 81906510458557/7131936344635*c_0101_6 - 24495761415323/7131936344635, c_0101_1 + 428427677690928/7131936344635*c_0101_6^18 + 1153022403411781/7131936344635*c_0101_6^17 + 761000170007568/7131936344635*c_0101_6^16 - 387703738100229/7131936344635*c_0101_6^15 - 882045306426972/7131936344635*c_0101_6^14 - 724149719624902/7131936344635*c_0101_6^13 - 20655892945254/1426387268927*c_0101_6^12 - 106137755178001/7131936344635*c_0101_6^11 - 417404820332197/7131936344635*c_0101_6^10 + 100285151580744/1426387268927*c_0101_6^9 - 1012662313051798/7131936344635*c_0101_6^8 - 1264944688334506/7131936344635*c_0101_6^7 + 94663591927407/7131936344635*c_0101_6^6 - 481968260078557/7131936344635*c_0101_6^5 + 332569993498973/7131936344635*c_0101_6^4 + 721441653335356/7131936344635*c_0101_6^3 + 190337995569649/7131936344635*c_0101_6^2 + 172059235532072/7131936344635*c_0101_6 + 84762891858259/7131936344635, c_0101_2 - 76729356054/1291783435*c_0101_6^18 - 201411768846/1291783435*c_0101_6^17 - 126790877236/1291783435*c_0101_6^16 + 13389608841/258356687*c_0101_6^15 + 144680459976/1291783435*c_0101_6^14 + 122174260768/1291783435*c_0101_6^13 + 19897333431/1291783435*c_0101_6^12 + 5061856711/258356687*c_0101_6^11 + 73044279206/1291783435*c_0101_6^10 - 94646760703/1291783435*c_0101_6^9 + 191439203398/1291783435*c_0101_6^8 + 210674823534/1291783435*c_0101_6^7 - 22889321438/1291783435*c_0101_6^6 + 19779319074/258356687*c_0101_6^5 - 61200076479/1291783435*c_0101_6^4 - 122993113696/1291783435*c_0101_6^3 - 29731469229/1291783435*c_0101_6^2 - 32179890504/1291783435*c_0101_6 - 3213396618/258356687, c_0101_6^19 + 29/9*c_0101_6^18 + 29/9*c_0101_6^17 + 1/9*c_0101_6^16 - 22/9*c_0101_6^15 - 25/9*c_0101_6^14 - 11/9*c_0101_6^13 - 4/9*c_0101_6^12 - 10/9*c_0101_6^11 + 2/3*c_0101_6^10 - 16/9*c_0101_6^9 - 38/9*c_0101_6^8 - 4/3*c_0101_6^7 - 10/9*c_0101_6^6 + 1/9*c_0101_6^5 + 19/9*c_0101_6^4 + 4/3*c_0101_6^3 + 2/3*c_0101_6^2 + 4/9*c_0101_6 + 1/9 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.230 seconds, Total memory usage: 32.09MB