Magma V2.19-8 Wed Aug 21 2013 01:02:36 on localhost [Seed = 1916037517] Type ? for help. Type -D to quit. Loading file "L14n15351__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n15351 geometric_solution 12.63346383 oriented_manifold CS_known 0.0000000000000000 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 1 1 1 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 1 11 -12 0 0 0 0 11 -11 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.352135171305 0.899530126099 0 5 7 6 0132 0132 0132 0132 1 1 0 1 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 -1 0 0 1 -11 0 11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.274422097006 0.659333324401 8 0 10 9 0132 0132 0132 0132 1 1 0 1 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 0 -1 1 0 0 0 12 -12 1 0 0 -1 0 11 -11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.995384522313 1.205481947744 8 11 7 0 2031 0132 3012 0132 1 1 0 1 0 0 1 -1 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 0 11 -11 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 0.876821565956 0.856546544720 10 11 0 6 2031 0321 0132 2103 1 1 1 1 0 0 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 12 -12 -1 0 0 1 -1 0 0 1 -12 12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.352135171305 0.899530126099 12 1 11 8 0132 0132 2103 0213 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.636166195313 0.994085314990 12 9 1 4 3012 1023 0132 2103 1 1 1 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 1 0 -1 1 0 0 -1 0 -12 0 12 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.164491248345 1.143823685536 9 3 10 1 3012 1230 3012 0132 1 1 1 1 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 0 0 11 0 0 -11 0 -11 11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.560794084230 1.142676032828 2 12 3 5 0132 0132 1302 0213 1 1 1 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.293075458242 0.762490417180 6 11 2 7 1023 0213 0132 1230 1 1 1 0 0 0 0 0 0 0 1 -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 -1 0 12 -11 12 -12 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.293075458242 0.762490417180 12 7 4 2 2310 1230 1302 0132 1 1 1 1 0 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 1 -1 0 0 12 -12 0 -11 0 11 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.592719369970 0.493246013134 5 3 9 4 2103 0132 0213 0321 1 1 1 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 0 12 -12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.754879513025 0.685959725056 5 8 10 6 0132 0132 3201 1230 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 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 0.653873227883 0.705269149479 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_0'], 'c_1001_10' : d['c_0110_4'], 'c_1001_12' : d['c_0011_4'], 'c_1001_5' : d['c_0011_11'], 'c_1001_4' : d['c_0101_7'], 'c_1001_7' : negation(d['c_0011_10']), 'c_1001_6' : d['c_0011_11'], 'c_1001_1' : d['c_0101_3'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0011_7']), 'c_1001_2' : d['c_0101_7'], 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : d['c_0101_0'], 'c_1010_12' : d['c_0101_0'], 'c_1010_11' : negation(d['c_0011_7']), 'c_1010_10' : d['c_0101_7'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0011_6'], 'c_0101_10' : negation(d['c_0011_4']), 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : d['1'], 's_2_12' : d['1'], 's_2_10' : 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' : d['1'], 's_0_1' : 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' : d['c_0011_4'], 'c_1100_4' : d['c_0011_10'], 'c_1100_7' : negation(d['c_0110_4']), 'c_1100_6' : negation(d['c_0110_4']), 'c_1100_1' : negation(d['c_0110_4']), 'c_1100_0' : d['c_0011_10'], 'c_1100_3' : d['c_0011_10'], 'c_1100_2' : d['c_0101_1'], 's_3_11' : negation(d['1']), 'c_1100_11' : d['c_0101_7'], 'c_1100_10' : d['c_0101_1'], 's_0_11' : d['1'], 'c_1010_7' : d['c_0101_3'], 'c_1010_6' : d['c_0011_7'], 'c_1010_5' : d['c_0101_3'], 'c_1010_4' : negation(d['c_0011_7']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0011_11'], 'c_1010_0' : d['c_0101_7'], 'c_1010_9' : d['c_0101_7'], 'c_1010_8' : d['c_0011_4'], 'c_1100_8' : d['c_0101_3'], 's_3_1' : d['1'], 's_3_0' : negation(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' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : negation(d['c_0011_10']), 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : negation(d['1']), 's_1_3' : negation(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_6'], 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : d['c_0011_6'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_11']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0011_4']), 'c_0110_10' : negation(d['c_0101_12']), 'c_0110_12' : d['c_0011_6'], 'c_0101_12' : d['c_0101_12'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0011_6'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0101_12']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_11'], 'c_0101_8' : d['c_0011_11'], 's_1_12' : d['1'], 's_1_11' : negation(d['1']), 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_7'], 'c_0110_8' : negation(d['c_0101_12']), 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0011_11'], 'c_0110_5' : d['c_0101_12'], 'c_0110_4' : d['c_0110_4'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : negation(d['c_0011_10'])})} 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_4, c_0011_6, c_0011_7, c_0101_0, c_0101_1, c_0101_12, c_0101_3, c_0101_7, c_0110_4, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t + 3207366/551*c_1001_0^10 + 1675075/551*c_1001_0^9 - 36104500/551*c_1001_0^8 + 23632527/551*c_1001_0^7 + 107605162/551*c_1001_0^6 - 195761480/551*c_1001_0^5 + 115287316/551*c_1001_0^4 + 10035799/551*c_1001_0^3 - 53317622/551*c_1001_0^2 + 28464409/551*c_1001_0 - 6911950/551, c_0011_0 - 1, c_0011_10 + 27/19*c_1001_0^10 + 77/19*c_1001_0^9 - 172/19*c_1001_0^8 - 318/19*c_1001_0^7 + 522/19*c_1001_0^6 + 5/19*c_1001_0^5 - 174/19*c_1001_0^4 + 51/19*c_1001_0^3 + 42/19*c_1001_0^2 - 5/19*c_1001_0 - 1/19, c_0011_11 - c_1001_0^10 - 2*c_1001_0^9 + 9*c_1001_0^8 + 7*c_1001_0^7 - 30*c_1001_0^6 + 15*c_1001_0^5 + 9*c_1001_0^4 - 10*c_1001_0^3 + c_1001_0, c_0011_4 - 23/19*c_1001_0^10 - 48/19*c_1001_0^9 + 181/19*c_1001_0^8 + 121/19*c_1001_0^7 - 527/19*c_1001_0^6 + 501/19*c_1001_0^5 - 236/19*c_1001_0^4 - 111/19*c_1001_0^3 + 112/19*c_1001_0^2 - 26/19*c_1001_0 - 9/19, c_0011_6 + 15/19*c_1001_0^10 + 47/19*c_1001_0^9 - 85/19*c_1001_0^8 - 202/19*c_1001_0^7 + 271/19*c_1001_0^6 + 83/19*c_1001_0^5 - 198/19*c_1001_0^4 + 60/19*c_1001_0^3 + 55/19*c_1001_0^2 - 7/19*c_1001_0 - 9/19, c_0011_7 + 9/19*c_1001_0^10 + 13/19*c_1001_0^9 - 108/19*c_1001_0^8 - 68/19*c_1001_0^7 + 402/19*c_1001_0^6 - 106/19*c_1001_0^5 - 305/19*c_1001_0^4 + 207/19*c_1001_0^3 - 5/19*c_1001_0^2 - 46/19*c_1001_0 + 6/19, c_0101_0 + 27/19*c_1001_0^10 + 77/19*c_1001_0^9 - 172/19*c_1001_0^8 - 318/19*c_1001_0^7 + 522/19*c_1001_0^6 + 5/19*c_1001_0^5 - 174/19*c_1001_0^4 + 51/19*c_1001_0^3 + 42/19*c_1001_0^2 + 14/19*c_1001_0 - 1/19, c_0101_1 - 1, c_0101_12 - c_1001_0^10 - 2*c_1001_0^9 + 9*c_1001_0^8 + 7*c_1001_0^7 - 30*c_1001_0^6 + 15*c_1001_0^5 + 8*c_1001_0^4 - 11*c_1001_0^3 + 5*c_1001_0^2 - c_1001_0 - 1, c_0101_3 - 30/19*c_1001_0^10 - 56/19*c_1001_0^9 + 265/19*c_1001_0^8 + 138/19*c_1001_0^7 - 846/19*c_1001_0^6 + 708/19*c_1001_0^5 - 41/19*c_1001_0^4 - 310/19*c_1001_0^3 + 118/19*c_1001_0^2 + 14/19*c_1001_0 - 20/19, c_0101_7 + 1, c_0110_4 + 25/19*c_1001_0^10 + 72/19*c_1001_0^9 - 167/19*c_1001_0^8 - 324/19*c_1001_0^7 + 534/19*c_1001_0^6 + 75/19*c_1001_0^5 - 349/19*c_1001_0^4 + 233/19*c_1001_0^3 + 3/19*c_1001_0^2 - 37/19*c_1001_0 + 23/19, c_1001_0^11 + c_1001_0^10 - 11*c_1001_0^9 + 2*c_1001_0^8 + 37*c_1001_0^7 - 45*c_1001_0^6 + 7*c_1001_0^5 + 20*c_1001_0^4 - 15*c_1001_0^3 + c_1001_0^2 + 2*c_1001_0 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.200 Total time: 0.410 seconds, Total memory usage: 32.09MB