Magma V2.19-8 Tue Aug 20 2013 16:17:08 on localhost [Seed = 812756197] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1382 geometric_solution 5.23805212 oriented_manifold CS_known -0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1230 3012 0132 3201 0 0 0 0 0 -1 0 1 0 0 -1 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 0 0 1 -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 0.372713324498 0.294360155099 2 0 3 0 0132 2310 0132 0132 0 0 0 0 0 0 0 0 0 0 -1 1 0 -1 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 1 0 -1 1 1 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.974918507944 1.010641083422 1 4 3 5 0132 0132 3012 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 -1 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 1.346313402937 0.979571808301 5 2 4 1 1023 1230 1023 0132 0 0 0 0 0 0 0 0 -1 0 0 1 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 1 0 0 -1 -1 -1 0 2 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.346313402937 0.979571808301 6 2 3 6 0132 0132 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 -1 0 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 0.172267200327 0.370783007952 5 3 2 5 3012 1023 0132 1230 0 0 0 0 0 1 0 -1 1 0 0 -1 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 0 1 -1 0 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.120768235733 0.608775134535 4 4 6 6 0132 2310 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 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 2.045901184501 1.060418099665 ==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' : 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_3']), 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : d['c_0011_1'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_1']), 'c_1100_0' : negation(d['c_0011_1']), 'c_1100_3' : negation(d['c_0011_1']), 'c_1100_2' : d['c_0011_3'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_1'], 'c_0101_4' : negation(d['c_0011_3']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_3'], 'c_0011_4' : d['c_0011_1'], 'c_0011_6' : negation(d['c_0011_1']), 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : d['c_0101_3'], 'c_1001_4' : d['c_0101_3'], 'c_1001_6' : d['c_0011_3'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0011_3']), 'c_1001_2' : negation(d['c_0011_3']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : d['c_0011_3'], 'c_0110_4' : d['c_0101_6'], 'c_0110_6' : negation(d['c_0011_3']), 'c_1010_6' : negation(d['c_0101_6']), 'c_1010_5' : d['c_0101_1'], 'c_1010_4' : negation(d['c_0011_3']), 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : d['c_0101_3'], '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_3, c_0101_0, c_0101_1, c_0101_3, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 3 Groebner basis: [ t - 8*c_0101_6^2 + 5*c_0101_6 + 17, c_0011_0 - 1, c_0011_1 - c_0101_6^2 + 1, c_0011_3 + 1, c_0101_0 + c_0101_6, c_0101_1 - c_0101_6, c_0101_3 + c_0101_6^2 - 1, c_0101_6^3 - c_0101_6^2 - 2*c_0101_6 + 1 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_3, c_0101_0, c_0101_1, c_0101_3, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t + 1890525695159569/43504406558053*c_0101_6^13 - 73806407477702/6214915222579*c_0101_6^12 + 15562963273090148/43504406558053*c_0101_6^11 - 598998688036354/6214915222579*c_0101_6^10 + 50887704349527167/43504406558053*c_0101_6^9 - 15280642383412125/43504406558053*c_0101_6^8 + 57808853900605644/43504406558053*c_0101_6^7 + 23517310059790324/43504406558053*c_0101_6^6 - 1245024779712131/2559082738709*c_0101_6^5 + 15246409013886291/6214915222579*c_0101_6^4 - 6012164934687717/2559082738709*c_0101_6^3 + 118632347305513233/43504406558053*c_0101_6^2 + 1305926419866690/43504406558053*c_0101_6 - 21507781273861612/43504406558053, c_0011_0 - 1, c_0011_1 + 2783220321/52226178341*c_0101_6^13 + 50249148/52226178341*c_0101_6^12 + 22408330868/52226178341*c_0101_6^11 - 299832089/52226178341*c_0101_6^10 + 71775295064/52226178341*c_0101_6^9 - 6808575440/52226178341*c_0101_6^8 + 77241844168/52226178341*c_0101_6^7 + 40864215727/52226178341*c_0101_6^6 - 20247776385/52226178341*c_0101_6^5 + 125503304534/52226178341*c_0101_6^4 - 143004499228/52226178341*c_0101_6^3 + 158827782488/52226178341*c_0101_6^2 + 519123382/52226178341*c_0101_6 - 21530684113/52226178341, c_0011_3 - 8558593404/52226178341*c_0101_6^13 + 3320758061/52226178341*c_0101_6^12 - 69860647189/52226178341*c_0101_6^11 + 27669429993/52226178341*c_0101_6^10 - 223871556346/52226178341*c_0101_6^9 + 99634421118/52226178341*c_0101_6^8 - 236527679125/52226178341*c_0101_6^7 - 68378991352/52226178341*c_0101_6^6 + 153732824595/52226178341*c_0101_6^5 - 489541364707/52226178341*c_0101_6^4 + 514602400895/52226178341*c_0101_6^3 - 543581108493/52226178341*c_0101_6^2 + 7521310378/52226178341*c_0101_6 + 146331473665/52226178341, c_0101_0 + 2734410059/52226178341*c_0101_6^13 - 480431293/52226178341*c_0101_6^12 + 22395496219/52226178341*c_0101_6^11 - 2980672054/52226178341*c_0101_6^10 + 72411051631/52226178341*c_0101_6^9 - 7244985430/52226178341*c_0101_6^8 + 79772573664/52226178341*c_0101_6^7 + 66825517449/52226178341*c_0101_6^6 - 30520252669/52226178341*c_0101_6^5 + 168445955720/52226178341*c_0101_6^4 - 112230002257/52226178341*c_0101_6^3 + 110561328118/52226178341*c_0101_6^2 + 50991594352/52226178341*c_0101_6 - 52511974848/52226178341, c_0101_1 - 4239602303/52226178341*c_0101_6^13 + 1056778373/52226178341*c_0101_6^12 - 36098943654/52226178341*c_0101_6^11 + 8060033875/52226178341*c_0101_6^10 - 121734874374/52226178341*c_0101_6^9 + 26700815288/52226178341*c_0101_6^8 - 143720606940/52226178341*c_0101_6^7 - 69358962971/52226178341*c_0101_6^6 + 60193110201/52226178341*c_0101_6^5 - 267719555506/52226178341*c_0101_6^4 + 264558729005/52226178341*c_0101_6^3 - 239633818063/52226178341*c_0101_6^2 - 14069169379/52226178341*c_0101_6 + 87481451506/52226178341, c_0101_3 - 7770877654/52226178341*c_0101_6^13 + 4720033596/52226178341*c_0101_6^12 - 63744015352/52226178341*c_0101_6^11 + 39079615708/52226178341*c_0101_6^10 - 206382775381/52226178341*c_0101_6^9 + 134016327399/52226178341*c_0101_6^8 - 227348611232/52226178341*c_0101_6^7 - 23834262409/52226178341*c_0101_6^6 + 165353294375/52226178341*c_0101_6^5 - 475425978076/52226178341*c_0101_6^4 + 576371793968/52226178341*c_0101_6^3 - 571542293328/52226178341*c_0101_6^2 + 25613758280/52226178341*c_0101_6 + 162274028532/52226178341, c_0101_6^14 + 8*c_0101_6^12 + 25*c_0101_6^10 - c_0101_6^9 + 24*c_0101_6^8 + 20*c_0101_6^7 - 13*c_0101_6^6 + 49*c_0101_6^5 - 39*c_0101_6^4 + 39*c_0101_6^3 + 22*c_0101_6^2 - 19*c_0101_6 - 7 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB