Magma V2.19-8 Wed Aug 21 2013 00:53:01 on localhost [Seed = 2328665870] Type ? for help. Type -D to quit. Loading file "L12n1195__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n1195 geometric_solution 12.00277634 oriented_manifold CS_known 0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 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 -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 0.722186559760 0.538342330443 0 5 7 6 0132 0132 0132 0132 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 -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 0.722186559760 0.538342330443 8 0 9 7 0132 0132 0132 0132 1 1 0 0 0 0 0 0 1 0 0 -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 0 0 0 -1 0 0 1 1 0 0 -1 -2 -1 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.538065803439 0.517647004524 8 7 10 0 1023 0132 0132 0132 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 0 0 0 0 0 -1 1 0 0 0 0 2 -2 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.722186559760 0.538342330443 11 10 0 9 0132 3012 0132 0132 1 1 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 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 0.691113563432 0.721283868302 12 1 11 10 0132 0132 3120 0321 1 1 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 -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 0.663501307923 0.890087403252 8 9 1 10 3012 3012 0132 0132 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 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 0.609944294457 1.072479794220 11 3 2 1 3120 0132 0132 0132 1 1 0 0 0 0 0 0 -1 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 -1 1 0 0 0 0 -3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.722186559760 0.538342330443 2 3 12 6 0132 1023 0132 1230 1 1 0 0 0 0 0 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 0 0 0 1 0 -1 0 2 -2 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.734872630671 0.598128048657 6 12 4 2 1230 1230 0132 0132 1 1 0 1 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 1 -1 0 0 0 0 0 0 3 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.567017645630 0.506457400396 4 5 6 3 1230 0321 0132 0132 1 1 0 1 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 -1 0 1 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 0.691113563432 0.721283868302 4 12 5 7 0132 3120 3120 3120 0 1 0 1 0 -1 0 1 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 -3 0 3 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 0.461657669557 0.722186559760 5 11 9 8 0132 3120 3012 0132 1 1 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 0 0 0 0 0 -1 1 0 0 0 0 0 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.527412050675 0.603560808131 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_9'], 'c_1001_10' : negation(d['c_0101_11']), 'c_1001_12' : negation(d['c_0011_9']), 'c_1001_5' : negation(d['c_0011_9']), 'c_1001_4' : negation(d['c_0011_10']), 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : negation(d['c_0011_9']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_1'], 'c_1001_2' : negation(d['c_0011_10']), 'c_1001_9' : negation(d['c_0101_10']), 'c_1001_8' : negation(d['c_0011_11']), 'c_1010_12' : negation(d['c_0011_11']), 'c_1010_11' : d['c_0011_0'], 'c_1010_10' : d['c_1001_1'], 's_0_10' : d['1'], 's_3_10' : negation(d['1']), 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 'c_0101_12' : negation(d['c_0011_10']), 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : negation(d['1']), 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : negation(d['1']), 's_2_7' : d['1'], 's_2_12' : d['1'], 's_2_10' : negation(d['1']), 's_2_11' : d['1'], 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : 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' : negation(d['1']), 'c_0011_11' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : negation(d['c_0011_0']), 'c_1100_5' : negation(d['c_0101_11']), 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : d['c_1100_0'], 'c_1100_6' : d['c_1100_0'], 'c_1100_1' : d['c_1100_0'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_1100_0'], 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0101_5']), 'c_1100_10' : d['c_1100_0'], 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_1'], 'c_1010_6' : negation(d['c_0101_11']), 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : negation(d['c_0101_10']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0011_9']), 'c_1010_0' : negation(d['c_0011_10']), 'c_1010_9' : negation(d['c_0011_10']), 'c_1010_8' : d['c_0101_0'], 's_3_1' : negation(d['1']), 's_3_0' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_7' : d['1'], 's_3_6' : negation(d['1']), 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : d['c_0101_10'], 's_1_7' : 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_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_9'], 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_11']), 'c_0011_7' : negation(d['c_0011_0']), 'c_0110_6' : d['c_0101_10'], '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_0110_11' : d['c_0101_1'], 'c_0110_10' : negation(d['c_0011_11']), 'c_0110_12' : d['c_0101_5'], 'c_0110_0' : d['c_0101_1'], 'c_0011_6' : d['c_0011_6'], 'c_0101_7' : d['c_0101_5'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_11']), 'c_0101_2' : d['c_0011_6'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_11'], 'c_0101_8' : d['c_0101_5'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_6'], 'c_0110_8' : d['c_0011_6'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_1100_0'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_5'], 'c_0110_5' : negation(d['c_0011_10']), 'c_0110_4' : d['c_0101_11'], 'c_0110_7' : d['c_0101_1'], 'c_1100_8' : d['c_0101_10'], 's_2_9' : d['1']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_6, c_0011_9, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_5, c_1001_0, c_1001_1, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 127991118263205895747/15163902650853297*c_1100_0^9 + 381146623176185999267/2757073209246054*c_1100_0^8 + 210379773936496405565/919024403082018*c_1100_0^7 - 114430921045173366858065/30327805301706594*c_1100_0^6 + 194619629897863932409961/15163902650853297*c_1100_0^5 + 337547571575738236188119/30327805301706594*c_1100_0^4 + 155642421656028285751241/30327805301706594*c_1100_0^3 + 6189999172822471529398/5054634216951099*c_1100_0^2 + 5390428267769572728691/30327805301706594*c_1100_0 + 7085637435546182243/919024403082018, c_0011_0 - 1, c_0011_10 - 3107909644846/18931214295697*c_1100_0^9 - 48637781840068/18931214295697*c_1100_0^8 - 4359322929376/1721019481427*c_1100_0^7 + 1438311378688654/18931214295697*c_1100_0^6 - 5758109054361567/18931214295697*c_1100_0^5 - 28219172938236/1721019481427*c_1100_0^4 - 88768425180375/18931214295697*c_1100_0^3 - 5264818543822/18931214295697*c_1100_0^2 - 6537594792625/1721019481427*c_1100_0 + 1499567734305/18931214295697, c_0011_11 - 527810211061/18931214295697*c_1100_0^9 - 6901746794627/18931214295697*c_1100_0^8 + 1182790288637/1721019481427*c_1100_0^7 + 263596671360192/18931214295697*c_1100_0^6 - 1608366976926729/18931214295697*c_1100_0^5 + 2511260965889822/18931214295697*c_1100_0^4 - 61382676947303/18931214295697*c_1100_0^3 - 10892869061649/18931214295697*c_1100_0^2 + 1931490872218/18931214295697*c_1100_0 + 17732006824986/18931214295697, c_0011_6 + 2095254492470/18931214295697*c_1100_0^9 + 33367937889688/18931214295697*c_1100_0^8 + 3777484234988/1721019481427*c_1100_0^7 - 957937259229051/18931214295697*c_1100_0^6 + 3617049502238787/18931214295697*c_1100_0^5 + 1196234111960489/18931214295697*c_1100_0^4 + 459883417030832/18931214295697*c_1100_0^3 + 10036068203980/18931214295697*c_1100_0^2 + 43173963994716/18931214295697*c_1100_0 + 2718942353286/18931214295697, c_0011_9 + 128009498901/18931214295697*c_1100_0^9 + 1148880255741/18931214295697*c_1100_0^8 - 1025502482376/1721019481427*c_1100_0^7 - 70583385393357/18931214295697*c_1100_0^6 + 634802718184368/18931214295697*c_1100_0^5 - 1623525610672428/18931214295697*c_1100_0^4 + 120097050502686/18931214295697*c_1100_0^3 + 39386304406393/18931214295697*c_1100_0^2 - 8165768656421/18931214295697*c_1100_0 - 2638784805820/18931214295697, c_0101_0 - 1, c_0101_1 + 646301932341/18931214295697*c_1100_0^9 + 11177723694497/18931214295697*c_1100_0^8 + 2417720206951/1721019481427*c_1100_0^7 - 282984854184181/18931214295697*c_1100_0^6 + 704823961426555/18931214295697*c_1100_0^5 + 2042529713329691/18931214295697*c_1100_0^4 + 100438674899687/18931214295697*c_1100_0^3 - 511916426827/18931214295697*c_1100_0^2 + 16729256180192/18931214295697*c_1100_0 + 12770321834053/18931214295697, c_0101_10 - 3907511069166/18931214295697*c_1100_0^9 - 60143514917840/18931214295697*c_1100_0^8 - 4044747316854/1721019481427*c_1100_0^7 + 1824337950622324/18931214295697*c_1100_0^6 - 7705237571846289/18931214295697*c_1100_0^5 + 1465059808114192/18931214295697*c_1100_0^4 + 28660321930391/18931214295697*c_1100_0^3 + 51722052145666/18931214295697*c_1100_0^2 - 65450883991584/18931214295697*c_1100_0 + 12754797476940/18931214295697, c_0101_11 + 4029051993914/18931214295697*c_1100_0^9 + 63926249240632/18931214295697*c_1100_0^8 + 6901877246050/1721019481427*c_1100_0^7 - 1849667112373332/18931214295697*c_1100_0^6 + 7061967618247070/18931214295697*c_1100_0^5 + 1975376266841216/18931214295697*c_1100_0^4 + 386830490364217/18931214295697*c_1100_0^3 + 4919934112980/18931214295697*c_1100_0^2 + 62427312814223/18931214295697*c_1100_0 + 6181059609914/18931214295697, c_0101_5 - 67876547104/18931214295697*c_1100_0^9 + 634802298665/18931214295697*c_1100_0^8 + 2324153136418/1721019481427*c_1100_0^7 + 58490253248915/18931214295697*c_1100_0^6 - 909725297556652/18931214295697*c_1100_0^5 + 3112307932399196/18931214295697*c_1100_0^4 + 250812470189997/18931214295697*c_1100_0^3 + 11964829327144/1721019481427*c_1100_0^2 - 15847552574232/18931214295697*c_1100_0 + 19598435886429/18931214295697, c_1001_0 + 15544759/59310731*c_1100_0^9 + 252394590/59310731*c_1100_0^8 + 383082191/59310731*c_1100_0^7 - 7045851262/59310731*c_1100_0^6 + 24589314349/59310731*c_1100_0^5 + 18252823304/59310731*c_1100_0^4 + 2044599421/59310731*c_1100_0^3 + 942233022/59310731*c_1100_0^2 + 281239250/59310731*c_1100_0 + 108539838/59310731, c_1001_1 + 3107909644846/18931214295697*c_1100_0^9 + 48637781840068/18931214295697*c_1100_0^8 + 4359322929376/1721019481427*c_1100_0^7 - 1438311378688654/18931214295697*c_1100_0^6 + 5758109054361567/18931214295697*c_1100_0^5 + 28219172938236/1721019481427*c_1100_0^4 + 88768425180375/18931214295697*c_1100_0^3 + 5264818543822/18931214295697*c_1100_0^2 + 4816575311198/1721019481427*c_1100_0 - 1499567734305/18931214295697, c_1100_0^10 + 16*c_1100_0^9 + 21*c_1100_0^8 - 456*c_1100_0^7 + 1692*c_1100_0^6 + 708*c_1100_0^5 + 226*c_1100_0^4 + 28*c_1100_0^3 + 16*c_1100_0^2 + 4*c_1100_0 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.170 Total time: 0.370 seconds, Total memory usage: 32.09MB