Magma V2.19-8 Tue Aug 20 2013 16:16:01 on localhost [Seed = 1494795676] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0268 geometric_solution 4.31507655 oriented_manifold CS_known -0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 7 1 2 0 0 0132 0132 1230 3012 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 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 1.785579404119 1.211281914353 0 3 2 2 0132 0132 0132 1302 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 1 -1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.141701969527 0.800487622053 3 0 1 1 3201 0132 2031 0132 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.141701969527 0.800487622053 4 1 4 2 0132 0132 2310 2310 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 0 0 0 0 0 0 0 1 -1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.746314210967 1.439577697431 3 3 5 5 0132 3201 3201 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 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 0.202112687744 0.174040714028 4 6 4 6 2310 0132 0132 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 -1 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 0 0 0 -4.760893397578 2.818266220094 5 5 6 6 3201 0132 1230 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.114720595623 0.042928398207 ==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' : negation(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' : d['c_0110_6'], 'c_1100_5' : negation(d['c_0011_5']), 'c_1100_4' : negation(d['c_0011_5']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0101_2'], 'c_1100_0' : d['c_0101_1'], 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : d['c_0101_2'], 'c_0101_6' : negation(d['c_0101_2']), 'c_0101_5' : d['c_0101_3'], 'c_0101_4' : negation(d['c_0101_2']), 'c_0101_3' : d['c_0101_3'], '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_5'], 'c_0011_4' : negation(d['c_0011_0']), 'c_0011_6' : negation(d['c_0011_5']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_0'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : d['c_0101_2'], 'c_1001_4' : negation(d['c_0101_3']), 'c_1001_6' : negation(d['c_0110_6']), 'c_1001_1' : negation(d['c_0101_1']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_2']), 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0101_2']), 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0101_3'], 'c_0110_6' : d['c_0110_6'], 'c_1010_6' : d['c_0101_2'], 'c_1010_5' : negation(d['c_0110_6']), 'c_1010_4' : d['c_0101_2'], 'c_1010_3' : negation(d['c_0101_1']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0101_2']), '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_5, c_0101_0, c_0101_1, c_0101_2, c_0101_3, c_0110_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 24 Groebner basis: [ t + 6034421908255/222092998432*c_0110_6^11 - 16854529461737/222092998432*c_0110_6^10 - 3041456897019/7164290272*c_0110_6^9 + 110766085404661/111046499216*c_0110_6^8 - 90805706382975/55523249608*c_0110_6^7 + 286966934174927/111046499216*c_0110_6^6 - 289972469386813/222092998432*c_0110_6^5 - 200899250461087/222092998432*c_0110_6^4 + 14517872859101/13880812402*c_0110_6^3 - 19769376206065/222092998432*c_0110_6^2 - 34155471502295/222092998432*c_0110_6 + 10346539215487/222092998432, c_0011_0 - 1, c_0011_5 + 68897297729/27761624804*c_0110_6^11 + 190499031927/27761624804*c_0110_6^10 - 7950599193/895536284*c_0110_6^9 + 114784962141/6940406201*c_0110_6^\ 8 - 471259939505/13880812402*c_0110_6^7 + 38577575833/6940406201*c_0110_6^6 + 314475086491/27761624804*c_0110_6^5 - 264493422213/27761624804*c_0110_6^4 + 36827547147/13880812402*c_0110_6^3 + 14843847599/27761624804*c_0110_6^2 - 81675335637/27761624804*c_0110_6 + 509607895/27761624804, c_0101_0 - 152924074329/6940406201*c_0101_2*c_0110_6^11 - 412596497298/6940406201*c_0101_2*c_0110_6^10 + 20957305489/223884071*c_0101_2*c_0110_6^9 - 845613185837/6940406201*c_0101_2*c_0110_6^8 + 1883047636155/6940406201*c_0101_2*c_0110_6^7 - 79219532841/6940406201*c_0101_2*c_0110_6^6 - 1586151907467/6940406201*c_0101_2*c_0110_6^5 + 648657931494/6940406201*c_0101_2*c_0110_6^4 + 366189107503/6940406201*c_0101_2*c_0110_6^3 - 157596296875/6940406201*c_0101_2*c_0110_6^2 - 4373375805/6940406201*c_0101_2*c_0110_6 + 10939434035/6940406201*c_0101_2, c_0101_1 - 36644557703/6940406201*c_0110_6^11 - 79113332006/6940406201*c_0110_6^10 + 6340733685/223884071*c_0110_6^9 - 312367847606/6940406201*c_0110_6^8 + 633397723098/6940406201*c_0110_6^7 - 362547176561/6940406201*c_0110_6^6 - 165326912135/6940406201*c_0110_6^5 + 244204971570/6940406201*c_0110_6^4 - 96252333694/6940406201*c_0110_6^3 + 3386776003/6940406201*c_0110_6^2 + 25789819375/6940406201*c_0110_6 - 11059982631/6940406201, c_0101_2^2 + 31505267937/27761624804*c_0110_6^11 + 124516874327/27761624804*c_0110_6^10 - 746491469/895536284*c_0110_6^9 + 5510572299/6940406201*c_0110_6^8 - 87138404457/13880812402*c_0110_6^7 - 116148589265/6940406201*c_0110_6^6 + 329083296683/27761624804*c_0110_6^5 + 206149897619/27761624804*c_0110_6^4 - 90624230661/13880812402*c_0110_6^3 - 88237791909/27761624804*c_0110_6^2 + 21708776427/27761624804*c_0110_6 - 5299792133/27761624804, c_0101_3 + 139953328177/27761624804*c_0110_6^11 + 370062388903/27761624804*c_0110_6^10 - 18067077173/895536284*c_0110_6^9 + 239157124249/6940406201*c_0110_6^8 - 990851203469/13880812402*c_0110_6^7 + 119018284436/6940406201*c_0110_6^6 + 740705591307/27761624804*c_0110_6^5 - 605268715549/27761624804*c_0110_6^4 + 66628054969/13880812402*c_0110_6^3 + 41252498167/27761624804*c_0110_6^2 - 86276998321/27761624804*c_0110_6 - 7635348729/27761624804, c_0110_6^12 + 30/13*c_0110_6^11 - 70/13*c_0110_6^10 + 7*c_0110_6^9 - 14*c_0110_6^8 + 62/13*c_0110_6^7 + 147/13*c_0110_6^6 - 112/13*c_0110_6^5 - 25/13*c_0110_6^4 + 37/13*c_0110_6^3 - 4/13*c_0110_6^2 - 4/13*c_0110_6 + 1/13 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB