Magma V2.19-8 Tue Aug 20 2013 16:18:22 on localhost [Seed = 2867541892] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2572 geometric_solution 5.87529481 oriented_manifold CS_known -0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 4 0132 0132 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 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 -0.543348659828 0.498884089545 0 5 2 4 0132 0132 0132 3201 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 -1 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 0.422217623291 0.472195194836 6 0 5 1 0132 0132 0321 0132 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 -1 0 1 -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 0.947707587003 1.176851447143 3 4 3 0 2310 2310 3201 0132 0 0 0 0 0 0 0 0 -1 0 0 1 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 -0.010902078916 0.830696629020 5 1 0 3 3201 2310 0132 3201 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 -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 1.481236027326 1.290038492474 6 1 2 4 1023 0132 0321 2310 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 0 0 0 0 0 1 -1 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.947707587003 1.176851447143 2 5 6 6 0132 1023 1230 3012 0 0 0 0 0 0 0 0 1 0 -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 1 0 -1 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 0.288937936653 0.891758842167 ==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' : negation(d['1']), 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : d['1'], 's_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : negation(d['1']), 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : negation(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' : 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' : 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_0101_2'], 'c_1100_5' : d['c_0011_4'], 'c_1100_4' : negation(d['c_0011_3']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_4']), 'c_1100_0' : negation(d['c_0011_3']), 'c_1100_3' : negation(d['c_0011_3']), 'c_1100_2' : negation(d['c_0011_4']), 'c_0101_6' : d['c_0101_1'], 'c_0101_5' : negation(d['c_0101_2']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0101_0']), '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_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_0011_4']), 'c_1001_4' : d['c_0011_4'], 'c_1001_6' : negation(d['c_0101_2']), 'c_1001_1' : negation(d['c_0110_4']), 'c_1001_0' : negation(d['c_0110_4']), 'c_1001_3' : d['c_0101_0'], 'c_1001_2' : d['c_0011_4'], '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_1'], 'c_0110_5' : negation(d['c_0101_1']), 'c_0110_4' : d['c_0110_4'], 'c_0110_6' : d['c_0101_2'], 'c_1010_6' : negation(d['c_0101_1']), 'c_1010_5' : negation(d['c_0110_4']), 'c_1010_4' : negation(d['c_0101_0']), 'c_1010_3' : negation(d['c_0110_4']), 'c_1010_2' : negation(d['c_0110_4']), 'c_1010_1' : negation(d['c_0011_4']), 'c_1010_0' : d['c_0011_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_4, c_0101_0, c_0101_1, c_0101_2, c_0110_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 10192699070494105766055/16915087791822454784*c_0110_4^9 + 400080543580737438237/528596493494451712*c_0110_4^8 - 1217727418363866508449/528596493494451712*c_0110_4^7 + 3408349730394357383719/1057192986988903424*c_0110_4^6 - 1433145911299408842241/1057192986988903424*c_0110_4^5 - 26128773466084985937/16518640421701616*c_0110_4^4 + 9941532606048261857/132149123373612928*c_0110_4^3 + 78364380544225537001/66074561686806464*c_0110_4^2 - 64937180927616778885/66074561686806464*c_0110_4 - 1782028013063193861/16518640421701616, c_0011_0 - 1, c_0011_3 - 450043328716163/1657042299355648*c_0110_4^9 - 1198098520962317/1657042299355648*c_0110_4^8 + 3862002799239/25891285927432*c_0110_4^7 - 35982778125683/51782571854864*c_0110_4^6 - 8818211186059/51782571854864*c_0110_4^5 + 20324071684959/103565143709728*c_0110_4^4 + 20416235240005/12945642963716*c_0110_4^3 + 1114420481231/3236410740929*c_0110_4^2 + 406817773976/3236410740929*c_0110_4 + 225947638909/6472821481858, c_0011_4 + 3403391432039599/24027113340656896*c_0110_4^9 + 11506771199644071/24027113340656896*c_0110_4^8 - 83333342195311/6006778335164224*c_0110_4^7 - 1183460900978481/6006778335164224*c_0110_4^6 + 1071183147853653/1501694583791056*c_0110_4^5 - 93658148357733/375423645947764*c_0110_4^4 - 261309128214007/375423645947764*c_0110_4^3 - 54162467158021/375423645947764*c_0110_4^2 + 8425555930181/93855911486941*c_0110_4 + 12695012764974/93855911486941, c_0101_0 - 1134171258802855/3003389167582112*c_0110_4^9 - 40256031385203465/48054226681313792*c_0110_4^8 + 3598766113147387/6006778335164224*c_0110_4^7 - 112463625543091/93855911486941*c_0110_4^6 + 498041196857381/1501694583791056*c_0110_4^5 + 172406449128213/3003389167582112*c_0110_4^4 + 807532576547741/750847291895528*c_0110_4^3 + 146438167985735/375423645947764*c_0110_4^2 - 6516226211815/93855911486941*c_0110_4 - 34806502715429/187711822973882, c_0101_1 + 1255320166136491/48054226681313792*c_0110_4^9 + 1056206768962371/6006778335164224*c_0110_4^8 + 806640812968263/3003389167582112*c_0110_4^7 - 91424769953925/3003389167582112*c_0110_4^6 + 443204119621247/3003389167582112*c_0110_4^5 + 19109901339431/375423645947764*c_0110_4^4 - 32909345896915/187711822973882*c_0110_4^3 - 224451729370429/187711822973882*c_0110_4^2 - 16262833046743/187711822973882*c_0110_4 + 1976796139373/93855911486941, c_0101_2 - 1564270019940719/24027113340656896*c_0110_4^9 + 2073653217326119/48054226681313792*c_0110_4^8 + 8967228635203787/12013556670328448*c_0110_4^7 - 559196219390619/3003389167582112*c_0110_4^6 - 479363800858121/3003389167582112*c_0110_4^5 + 2756007330036309/3003389167582112*c_0110_4^4 - 189155642366917/750847291895528*c_0110_4^3 - 249229960792539/375423645947764*c_0110_4^2 - 79889932346625/187711822973882*c_0110_4 - 26494304524653/187711822973882, c_0110_4^10 + 174/91*c_0110_4^9 - 236/91*c_0110_4^8 + 3936/1183*c_0110_4^7 - 368/1183*c_0110_4^6 - 2144/1183*c_0110_4^5 - 448/169*c_0110_4^4 + 1280/1183*c_0110_4^3 - 256/1183*c_0110_4^2 - 512/1183*c_0110_4 - 1024/1183 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.220 seconds, Total memory usage: 32.09MB