Magma V2.19-8 Tue Aug 20 2013 16:16:04 on localhost [Seed = 1377029788] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0321 geometric_solution 4.35467010 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1230 3012 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 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 1.478118757665 0.074939729317 0 2 2 0 3201 0132 1023 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 1 -1 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 1.276116937254 0.117689321369 3 1 1 4 0132 0132 1023 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 -1 1 -1 1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.463451317687 0.842121921104 2 5 6 4 0132 0132 0132 2031 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.085735478012 0.624853239262 5 3 2 6 3012 1302 0132 3120 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 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 -0.085735478012 0.624853239262 6 3 6 4 2031 0132 0213 1230 0 0 0 0 0 -1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.421796001753 0.429961755516 4 5 5 3 3120 0213 1302 0132 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 0 0 0 0 0 0 0 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 -0.162680383876 1.185189278412 ==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' : 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' : negation(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' : negation(d['1']), 's_0_1' : d['1'], 'c_1100_6' : d['c_0011_6'], 'c_1100_5' : d['c_0101_3'], 'c_1100_4' : negation(d['c_0011_1']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_1'], 'c_1100_0' : d['c_0011_1'], 'c_1100_3' : d['c_0011_6'], 'c_1100_2' : negation(d['c_0011_1']), 'c_0101_6' : d['c_0011_1'], 'c_0101_5' : d['c_0011_6'], 'c_0101_4' : d['c_0101_3'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_1']), 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : d['c_0011_6'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_1'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : d['c_0011_4'], 'c_1001_4' : d['c_0101_2'], 'c_1001_6' : d['c_0011_4'], 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0101_3'], 'c_1001_2' : negation(d['c_0011_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_2'], 'c_0110_2' : d['c_0101_3'], 'c_0110_5' : d['c_0011_4'], 'c_0110_4' : d['c_0101_3'], 'c_0110_6' : d['c_0101_3'], 'c_1010_6' : d['c_0101_3'], 'c_1010_5' : d['c_0101_3'], 'c_1010_4' : negation(d['c_0011_6']), 'c_1010_3' : d['c_0011_4'], 'c_1010_2' : d['c_0101_2'], 'c_1010_1' : negation(d['c_0011_0']), '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_1, c_0011_4, c_0011_6, c_0101_0, c_0101_2, c_0101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t + 57618180236937793/2485491958571680*c_0101_3^11 + 701903329666331473/2485491958571680*c_0101_3^10 - 799982834829342091/2485491958571680*c_0101_3^9 + 399082546607033749/248549195857168*c_0101_3^8 + 4221182899697556197/2485491958571680*c_0101_3^7 + 2204538489132443791/621372989642920*c_0101_3^6 - 6980543783576555203/2485491958571680*c_0101_3^5 + 3489325583030707207/1242745979285840*c_0101_3^4 + 15683707555317696161/2485491958571680*c_0101_3^3 + 9151045249608057201/2485491958571680*c_0101_3^2 + 1395588254902308337/1242745979285840*c_0101_3 + 477806050852572003/2485491958571680, c_0011_0 - 1, c_0011_1 + 3024746317943/31068649482146*c_0101_3^11 + 34976925740401/31068649482146*c_0101_3^10 - 63749548786849/31068649482146*c_0101_3^9 + 123733765089276/15534324741073*c_0101_3^8 + 70803957652999/31068649482146*c_0101_3^7 + 204062993252653/15534324741073*c_0101_3^6 - 623199462263509/31068649482146*c_0101_3^5 + 365148317404597/15534324741073*c_0101_3^4 + 383270669453315/31068649482146*c_0101_3^3 + 205294566719649/31068649482146*c_0101_3^2 + 16407717112888/15534324741073*c_0101_3 - 10309116928407/31068649482146, c_0011_4 + 37544234862589/124274597928584*c_0101_3^11 + 444845832275969/124274597928584*c_0101_3^10 - 669056302799863/124274597928584*c_0101_3^9 + 1414979175054007/62137298964292*c_0101_3^8 + 1800474511671421/124274597928584*c_0101_3^7 + 1295923435002739/31068649482146*c_0101_3^6 - 6234046459559687/124274597928584*c_0101_3^5 + 3359251773264157/62137298964292*c_0101_3^4 + 7978366919000353/124274597928584*c_0101_3^3 + 3370542877073613/124274597928584*c_0101_3^2 + 478914687198619/62137298964292*c_0101_3 + 110978965244411/124274597928584, c_0011_6 - 37544234862589/124274597928584*c_0101_3^11 - 444845832275969/124274597928584*c_0101_3^10 + 669056302799863/124274597928584*c_0101_3^9 - 1414979175054007/62137298964292*c_0101_3^8 - 1800474511671421/124274597928584*c_0101_3^7 - 1295923435002739/31068649482146*c_0101_3^6 + 6234046459559687/124274597928584*c_0101_3^5 - 3359251773264157/62137298964292*c_0101_3^4 - 7978366919000353/124274597928584*c_0101_3^3 - 3370542877073613/124274597928584*c_0101_3^2 - 478914687198619/62137298964292*c_0101_3 - 110978965244411/124274597928584, c_0101_0 + 5489527807385/62137298964292*c_0101_3^11 + 75789904218253/62137298964292*c_0101_3^10 + 28158297053121/62137298964292*c_0101_3^9 + 103044825742441/31068649482146*c_0101_3^8 + 1095496337475541/62137298964292*c_0101_3^7 + 294534696406521/15534324741073*c_0101_3^6 + 485157601810409/62137298964292*c_0101_3^5 - 483679215989749/31068649482146*c_0101_3^4 + 3267176262937765/62137298964292*c_0101_3^3 + 2601325521612453/62137298964292*c_0101_3^2 + 357466882305205/31068649482146*c_0101_3 + 159302794481075/62137298964292, c_0101_2 + 715644508697/31068649482146*c_0101_3^11 + 10666289392551/31068649482146*c_0101_3^10 + 13226315965035/31068649482146*c_0101_3^9 + 7782377716691/15534324741073*c_0101_3^8 + 195610313953755/31068649482146*c_0101_3^7 + 106860833955925/15534324741073*c_0101_3^6 + 169489310930901/31068649482146*c_0101_3^5 - 115531209804401/15534324741073*c_0101_3^4 + 517830312704575/31068649482146*c_0101_3^3 + 587843269864953/31068649482146*c_0101_3^2 + 79914379444504/15534324741073*c_0101_3 + 40371826115351/31068649482146, c_0101_3^12 + 12*c_0101_3^11 - 16*c_0101_3^10 + 73*c_0101_3^9 + 59*c_0101_3^8 + 147*c_0101_3^7 - 143*c_0101_3^6 + 157*c_0101_3^5 + 235*c_0101_3^4 + 124*c_0101_3^3 + 45*c_0101_3^2 + 9*c_0101_3 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB