Magma V2.19-8 Wed Aug 21 2013 01:11:39 on localhost [Seed = 4055363522] Type ? for help. Type -D to quit. Loading file "L14n57675__sl2_c7.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n57675 geometric_solution 12.29412373 oriented_manifold CS_known -0.0000000000000001 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 1 2 2 0 0 0 0 0 -1 0 0 1 0 1 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 1 0 -1 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 0.631955133231 0.787836301542 0 5 6 6 0132 0132 1230 0132 2 2 0 2 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.051207837488 0.618684640432 7 0 9 8 0132 0132 0132 0132 1 1 0 2 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 -1 0 1 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 0.631955133231 0.787836301542 7 9 10 0 2031 1230 0132 0132 1 2 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 2 -1 -1 0 0 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 0.380468534724 0.772348150409 11 10 0 12 0132 2103 0132 0132 1 2 1 2 0 0 0 0 1 0 -1 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 1 0 0 0 0 0 0 -2 0 2 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.406989082822 1.311480535333 9 1 8 10 1023 0132 2103 1230 2 1 2 0 0 0 0 0 0 0 0 0 -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 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 0.548234640475 0.587708338166 7 11 1 1 1023 2310 0132 3012 2 2 2 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 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 1.051207837488 0.618684640432 2 6 3 12 0132 1023 1302 2310 2 1 2 0 0 0 0 0 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 0 1 -1 1 0 1 -2 1 -1 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.548234640475 0.587708338166 5 11 2 12 2103 3120 0132 0321 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.486739725951 1.041914342871 11 5 3 2 2310 1023 3012 0132 1 1 2 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 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 0.631955133231 0.787836301542 5 4 12 3 3012 2103 0132 0132 1 2 1 2 0 1 0 -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 2 0 -2 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 0.380388511465 0.563420361545 4 8 9 6 0132 3120 3201 3201 0 2 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.631955133231 0.787836301542 7 8 4 10 3201 0321 0132 0132 1 2 2 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 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.176893970054 1.219160629211 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0101_9']), 'c_1001_10' : negation(d['c_0011_11']), 'c_1001_12' : d['c_1001_12'], 'c_1001_5' : d['c_0011_8'], 'c_1001_4' : d['c_0011_10'], 'c_1001_7' : d['c_0101_0'], 'c_1001_6' : d['c_0011_8'], 'c_1001_1' : d['c_0101_10'], 'c_1001_0' : d['c_0101_9'], 'c_1001_3' : negation(d['c_1001_12']), 'c_1001_2' : d['c_0011_10'], 'c_1001_9' : negation(d['c_0011_3']), 'c_1001_8' : d['c_0101_9'], 'c_1010_12' : negation(d['c_0011_11']), 'c_1010_11' : negation(d['c_0011_8']), 'c_1010_10' : negation(d['c_1001_12']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : negation(d['1']), 's_2_9' : negation(d['1']), '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' : negation(d['1']), 's_2_3' : d['1'], 's_2_4' : negation(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' : d['1'], 's_2_11' : d['1'], 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : negation(d['1']), 's_0_7' : negation(d['1']), 's_0_4' : negation(d['1']), 's_0_5' : d['1'], 's_0_2' : negation(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' : d['c_0011_12'], 'c_1100_5' : d['c_0011_12'], 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : d['c_0011_12'], 'c_1100_6' : negation(d['c_0101_10']), 'c_1100_1' : negation(d['c_0101_10']), 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_1001_12'], 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0011_0']), 'c_1100_10' : d['c_1100_0'], 's_0_11' : negation(d['1']), 'c_1010_7' : negation(d['c_0101_10']), 'c_1010_6' : negation(d['c_0101_1']), 'c_1010_5' : d['c_0101_10'], 'c_1010_4' : d['c_1001_12'], 'c_1010_3' : d['c_0101_9'], 'c_1010_2' : d['c_0101_9'], 'c_1010_1' : d['c_0011_8'], 'c_1010_0' : d['c_0011_10'], 'c_1010_9' : d['c_0011_10'], 'c_1010_8' : negation(d['c_0011_11']), 'c_1100_8' : d['c_1001_12'], 's_3_1' : negation(d['1']), 's_3_0' : negation(d['1']), 's_3_3' : negation(d['1']), 's_3_2' : negation(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' : negation(d['1']), 's_3_8' : d['1'], 'c_1100_12' : d['c_1100_0'], 's_1_7' : negation(d['1']), 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : negation(d['1']), 's_1_2' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : negation(d['1']), 'c_0011_9' : d['c_0011_0'], 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_11']), 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : d['c_0011_0'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_1'], 'c_0110_10' : d['c_0011_12'], 'c_0110_12' : d['c_0101_10'], 'c_0101_12' : d['c_0101_11'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : negation(d['c_0011_3']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0011_3']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0011_12'], 'c_0101_2' : negation(d['c_0101_11']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : negation(d['c_0011_3']), 's_1_12' : d['1'], 's_1_11' : negation(d['1']), 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0101_11']), 'c_0110_8' : negation(d['c_0011_12']), 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_1001_12'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_3']), 'c_0110_5' : d['c_0011_10'], 'c_0110_4' : d['c_0101_11'], 'c_0110_7' : negation(d['c_0101_11']), 'c_0110_6' : negation(d['c_0101_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_12, c_0011_3, c_0011_8, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_9, c_1001_12, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t + 3163193345/1232*c_1100_0^6 + 14979154163/2464*c_1100_0^5 + 588869093/112*c_1100_0^4 + 455566099/352*c_1100_0^3 - 340835791/1232*c_1100_0^2 + 1518222353/9856*c_1100_0 + 295228207/2464, c_0011_0 - 1, c_0011_10 + 23088/11*c_1100_0^6 + 54672/11*c_1100_0^5 + 4300*c_1100_0^4 + 11698/11*c_1100_0^3 - 2434/11*c_1100_0^2 + 1396/11*c_1100_0 + 1074/11, c_0011_11 + c_1100_0, c_0011_12 - 77272/11*c_1100_0^6 - 182716/11*c_1100_0^5 - 14340*c_1100_0^4 - 38592/11*c_1100_0^3 + 8380/11*c_1100_0^2 - 4650/11*c_1100_0 - 3596/11, c_0011_3 - 119080/11*c_1100_0^6 - 281964/11*c_1100_0^5 - 22180*c_1100_0^4 - 60200/11*c_1100_0^3 + 12756/11*c_1100_0^2 - 7133/11*c_1100_0 - 5553/11, c_0011_8 + 25948/11*c_1100_0^6 + 62086/11*c_1100_0^5 + 4946*c_1100_0^4 + 13898/11*c_1100_0^3 - 2764/11*c_1100_0^2 + 3023/22*c_1100_0 + 2555/22, c_0101_0 - 25948/11*c_1100_0^6 - 62086/11*c_1100_0^5 - 4946*c_1100_0^4 - 13898/11*c_1100_0^3 + 2764/11*c_1100_0^2 - 3023/22*c_1100_0 - 2555/22, c_0101_1 - 1, c_0101_10 + 62296/11*c_1100_0^6 + 147284/11*c_1100_0^5 + 11564*c_1100_0^4 + 31214/11*c_1100_0^3 - 6668/11*c_1100_0^2 + 3754/11*c_1100_0 + 2883/11, c_0101_11 - 23088/11*c_1100_0^6 - 54672/11*c_1100_0^5 - 4300*c_1100_0^4 - 11698/11*c_1100_0^3 + 2434/11*c_1100_0^2 - 1396/11*c_1100_0 - 1074/11, c_0101_9 - 1, c_1001_12 + 17108/11*c_1100_0^6 + 40496/11*c_1100_0^5 + 3184*c_1100_0^4 + 8620/11*c_1100_0^3 - 1817/11*c_1100_0^2 + 1048/11*c_1100_0 + 804/11, c_1100_0^7 + 83/26*c_1100_0^6 + 4*c_1100_0^5 + 57/26*c_1100_0^4 + 4/13*c_1100_0^3 - 3/104*c_1100_0^2 + 5/52*c_1100_0 + 1/26 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.240 seconds, Total memory usage: 32.09MB