Magma V2.19-8 Wed Aug 21 2013 00:52:37 on localhost [Seed = 2084202945] Type ? for help. Type -D to quit. Loading file "L12n1003__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n1003 geometric_solution 12.63569601 oriented_manifold CS_known -0.0000000000000003 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 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 -1 0 1 -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 0.401593621892 0.818534280701 0 5 7 6 0132 0132 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 1 0 0 -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 0.582057227559 0.796170982658 4 0 6 5 3012 0132 0132 0132 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 1 0 -1 -1 0 1 0 0 0 0 0 -1 -1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.582057227559 0.796170982658 8 6 5 0 0132 0132 1302 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 0.297600698927 1.017944110091 8 9 0 2 3120 0132 0132 1230 1 1 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 0 -1 1 0 0 0 0 -2 1 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.095808067591 1.065219495214 3 1 2 9 2031 0132 0132 1023 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.735413454358 0.905019096783 10 3 1 2 0132 0132 0132 0132 1 1 0 1 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 0 0 0 0 0 1 -1 2 0 0 -2 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.401593621892 0.818534280701 10 11 9 1 2103 0132 1023 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 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 0.763447732524 1.238189127379 3 12 10 4 0132 0132 0132 3120 0 1 0 1 0 0 0 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 -1 0 1 0 0 0 0 0 -2 0 2 0 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.718811079058 1.477835632982 11 4 7 5 2031 0132 1023 1023 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 -1 0 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 0.124251347308 0.653023838502 6 12 7 8 0132 1023 2103 0132 0 1 1 0 0 0 0 0 0 0 0 0 0 -1 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 0 0 0 -1 -2 0 3 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.148862147739 0.779191401441 12 7 9 12 2310 0132 1302 2103 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 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 0.639196385216 0.585165288877 10 8 11 11 1023 0132 3201 2103 0 0 1 0 0 0 0 0 0 0 0 0 1 -1 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 0 0 0 0 2 -3 0 1 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.148862147739 0.779191401441 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0110_9'], 'c_1001_10' : negation(d['c_0011_11']), 'c_1001_12' : negation(d['c_0011_4']), 'c_1001_5' : d['c_1001_0'], 'c_1001_4' : d['c_0110_5'], 'c_1001_7' : d['c_0101_9'], 'c_1001_6' : d['c_1001_0'], 'c_1001_1' : d['c_0110_9'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0110_5'], 'c_1001_2' : d['c_0110_5'], 'c_1001_9' : d['c_0101_10'], 'c_1001_8' : negation(d['c_0101_9']), 'c_1010_12' : negation(d['c_0101_9']), 'c_1010_11' : d['c_0101_9'], 'c_1010_10' : negation(d['c_0101_9']), 's_3_11' : d['1'], 's_0_11' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 'c_0101_12' : negation(d['c_0011_11']), 'c_0101_11' : d['c_0011_4'], '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' : d['1'], 's_2_4' : 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' : negation(d['1']), 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : d['1'], 's_0_4' : negation(d['1']), 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : negation(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' : d['c_0011_10'], 'c_1100_5' : d['c_1100_1'], 'c_1100_4' : d['c_0101_5'], 'c_1100_7' : d['c_1100_1'], 'c_1100_6' : d['c_1100_1'], 'c_1100_1' : d['c_1100_1'], 'c_1100_0' : d['c_0101_5'], 'c_1100_3' : d['c_0101_5'], 'c_1100_2' : d['c_1100_1'], 's_0_10' : d['1'], 'c_1100_11' : d['c_0101_9'], 'c_1100_10' : negation(d['c_0101_1']), 's_3_10' : d['1'], 'c_1010_7' : d['c_0110_9'], 'c_1010_6' : d['c_0110_5'], 'c_1010_5' : d['c_0110_9'], 'c_1010_4' : d['c_0101_10'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_0'], 'c_1010_0' : d['c_0110_5'], 'c_1010_9' : d['c_0110_5'], 'c_1010_8' : negation(d['c_0011_4']), 'c_1100_8' : negation(d['c_0101_1']), 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : negation(d['1']), 's_3_4' : d['1'], 's_3_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : negation(d['1']), 's_3_8' : negation(d['1']), 'c_1100_12' : negation(d['c_0011_11']), 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : negation(d['1']), 's_1_4' : negation(d['1']), 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : negation(d['1']), 's_1_0' : d['1'], 's_1_9' : negation(d['1']), 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_4']), 'c_0011_8' : negation(d['c_0011_10']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_11']), 'c_0011_6' : negation(d['c_0011_10']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_10'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0011_11'], 'c_0110_10' : d['c_0101_0'], 'c_0110_12' : negation(d['c_0101_9']), 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_10'], '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_0']), 'c_0101_2' : d['c_0101_10'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : d['c_0101_0'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0110_9'], 'c_0110_8' : negation(d['c_0011_0']), 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_1100_1']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_5'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : negation(d['c_0011_0']), 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : 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_4, c_0101_0, c_0101_1, c_0101_10, c_0101_5, c_0101_9, c_0110_5, c_0110_9, c_1001_0, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 29347/52*c_1100_1^5 + 1990223/728*c_1100_1^4 - 4246065/728*c_1100_1^3 + 4804665/728*c_1100_1^2 - 2202485/728*c_1100_1 + 249181/364, c_0011_0 - 1, c_0011_10 + 7/26*c_1100_1^5 + 11/26*c_1100_1^4 - 47/26*c_1100_1^3 + 119/26*c_1100_1^2 - 27/13*c_1100_1 + 15/13, c_0011_11 - 189/26*c_1100_1^5 + 359/13*c_1100_1^4 - 717/13*c_1100_1^3 + 54*c_1100_1^2 - 725/26*c_1100_1 + 83/13, c_0011_4 - 252/13*c_1100_1^5 + 927/13*c_1100_1^4 - 1808/13*c_1100_1^3 + 129*c_1100_1^2 - 802/13*c_1100_1 + 178/13, c_0101_0 - 1, c_0101_1 - 63/26*c_1100_1^5 + 265/26*c_1100_1^4 - 276/13*c_1100_1^3 + 303/13*c_1100_1^2 - 307/26*c_1100_1 + 81/26, c_0101_10 - 77/26*c_1100_1^5 + 174/13*c_1100_1^4 - 769/26*c_1100_1^3 + 903/26*c_1100_1^2 - 268/13*c_1100_1 + 139/26, c_0101_5 + c_1100_1 - 1, c_0101_9 - 21/26*c_1100_1^5 + 71/13*c_1100_1^4 - 347/26*c_1100_1^3 + 461/26*c_1100_1^2 - 124/13*c_1100_1 + 59/26, c_0110_5 - 7/26*c_1100_1^5 - 11/26*c_1100_1^4 + 47/26*c_1100_1^3 - 119/26*c_1100_1^2 + 27/13*c_1100_1 - 2/13, c_0110_9 + 7/26*c_1100_1^5 + 11/26*c_1100_1^4 - 47/26*c_1100_1^3 + 119/26*c_1100_1^2 - 27/13*c_1100_1 + 15/13, c_1001_0 + 35/26*c_1100_1^5 - 81/13*c_1100_1^4 + 341/26*c_1100_1^3 - 385/26*c_1100_1^2 + 88/13*c_1100_1 - 41/26, c_1100_1^6 - 38/7*c_1100_1^5 + 93/7*c_1100_1^4 - 128/7*c_1100_1^3 + 93/7*c_1100_1^2 - 38/7*c_1100_1 + 1 ], 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_0101_0, c_0101_1, c_0101_10, c_0101_5, c_0101_9, c_0110_5, c_0110_9, c_1001_0, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t - 441/5632*c_1001_0^8 + 21/2816*c_1001_0^7 - 283/1408*c_1001_0^6 + 4933/5632*c_1001_0^5 - 9479/5632*c_1001_0^4 + 3881/2816*c_1001_0^3 - 3847/1408*c_1001_0^2 + 369/704*c_1001_0 - 211/176, c_0011_0 - 1, c_0011_10 + 13/88*c_1001_0^8 + 1/22*c_1001_0^7 + 31/88*c_1001_0^6 - 109/88*c_1001_0^5 + 225/88*c_1001_0^4 - 91/88*c_1001_0^3 - 57/88*c_1001_0^2 + 31/22*c_1001_0 - 45/22, c_0011_11 - 263/704*c_1001_0^8 + 277/704*c_1001_0^7 - 435/352*c_1001_0^6 + 3207/704*c_1001_0^5 - 2143/176*c_1001_0^4 + 11851/704*c_1001_0^3 - 5451/352*c_1001_0^2 + 1605/176*c_1001_0 - 201/88, c_0011_4 - 133/352*c_1001_0^8 + 141/352*c_1001_0^7 - 59/44*c_1001_0^6 + 1677/352*c_1001_0^5 - 2193/176*c_1001_0^4 + 6453/352*c_1001_0^3 - 409/22*c_1001_0^2 + 1101/88*c_1001_0 - 81/22, c_0101_0 - 1, c_0101_1 - 23/352*c_1001_0^8 + 75/352*c_1001_0^7 - 19/88*c_1001_0^6 + 423/352*c_1001_0^5 - 609/176*c_1001_0^4 + 2119/352*c_1001_0^3 - 459/88*c_1001_0^2 + 265/88*c_1001_0 - 15/22, c_0101_10 + 23/352*c_1001_0^8 - 75/352*c_1001_0^7 + 19/88*c_1001_0^6 - 423/352*c_1001_0^5 + 609/176*c_1001_0^4 - 2119/352*c_1001_0^3 + 459/88*c_1001_0^2 - 265/88*c_1001_0 + 15/22, c_0101_5 - 13/88*c_1001_0^8 - 1/22*c_1001_0^7 - 31/88*c_1001_0^6 + 109/88*c_1001_0^5 - 225/88*c_1001_0^4 + 91/88*c_1001_0^3 + 57/88*c_1001_0^2 - 31/22*c_1001_0 + 45/22, c_0101_9 - 3/16*c_1001_0^8 + 1/16*c_1001_0^7 - 5/8*c_1001_0^6 + 31/16*c_1001_0^5 - 19/4*c_1001_0^4 + 91/16*c_1001_0^3 - 43/8*c_1001_0^2 + 5/2*c_1001_0, c_0110_5 - 1, c_0110_9 + 13/88*c_1001_0^8 + 1/22*c_1001_0^7 + 31/88*c_1001_0^6 - 109/88*c_1001_0^5 + 225/88*c_1001_0^4 - 91/88*c_1001_0^3 - 57/88*c_1001_0^2 + 31/22*c_1001_0 - 45/22, c_1001_0^9 - c_1001_0^8 + 4*c_1001_0^7 - 13*c_1001_0^6 + 34*c_1001_0^5 - 53*c_1001_0^4 + 64*c_1001_0^3 - 56*c_1001_0^2 + 32*c_1001_0 - 16, c_1100_1 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.250 Total time: 0.470 seconds, Total memory usage: 32.09MB