Magma V2.19-8 Tue Aug 20 2013 23:57:34 on localhost [Seed = 2513698119] Type ? for help. Type -D to quit. Loading file "L14n33025__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n33025 geometric_solution 10.49594622 oriented_manifold CS_known -0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 1 1 0 1 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 1 0 -1 -1 0 3 -2 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.402041499151 0.747372794636 0 5 2 3 0132 0132 3201 3201 0 1 1 0 0 0 1 -1 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 -3 3 1 0 0 -1 0 0 0 0 4 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.072029139754 1.199417474196 1 0 6 5 2310 0132 0132 3012 1 0 1 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 -1 0 1 4 0 -4 0 0 0 0 0 3 -4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.249714225425 0.688612736385 5 1 6 0 0132 2310 0321 0132 1 1 1 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 3 -3 -1 1 0 0 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.402041499151 0.747372794636 5 7 0 8 3120 0132 0132 0132 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 2 -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 0.553723608322 0.845324310045 3 1 2 4 0132 0132 1230 3120 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.249714225425 0.688612736385 7 9 3 2 0321 0132 0321 0132 1 0 0 1 0 0 0 0 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 0 0 0 -1 0 -3 4 0 1 0 -1 3 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.488408562188 0.925129893829 6 4 8 9 0321 0132 2103 0132 1 1 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 -3 0 0 3 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.740705161317 1.140229748241 7 9 4 10 2103 1023 0132 0132 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 -1 1 0 0 0 2 -2 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.955716184137 0.623023356886 8 6 7 10 1023 0132 0132 3120 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 1 0 -3 2 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.265710067032 0.478677442696 9 11 8 11 3120 0132 0132 2310 1 1 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 0 0 0 0 0 0 0 0 0 0 0 -2 0 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 1.172626132491 0.369180624972 10 10 11 11 3201 0132 2031 1302 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.641532432306 0.257332874685 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0110_11']), 'c_1001_10' : negation(d['c_0101_11']), 'c_1001_5' : negation(d['c_1001_3']), 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : negation(d['c_0011_6']), 'c_1001_6' : negation(d['c_0011_10']), 'c_1001_1' : negation(d['c_0011_4']), 'c_1001_0' : negation(d['c_0101_0']), 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_1001_2'], 'c_1001_8' : negation(d['c_0011_6']), 'c_1010_11' : negation(d['c_0101_11']), 'c_1010_10' : negation(d['c_0110_11']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0101_10'], '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_2_7' : 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' : negation(d['c_0011_10']), 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : negation(d['c_0101_1']), 'c_1100_4' : negation(d['c_0011_10']), 'c_1100_7' : negation(d['c_0101_10']), 'c_1100_6' : d['c_1001_3'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : negation(d['c_0011_10']), 'c_1100_3' : negation(d['c_0011_10']), 'c_1100_2' : d['c_1001_3'], 's_3_11' : d['1'], 'c_1100_11' : d['c_0101_11'], 'c_1100_10' : negation(d['c_0011_10']), 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_2'], 'c_1010_6' : d['c_1001_2'], 'c_1010_5' : negation(d['c_0011_4']), 'c_1010_4' : negation(d['c_0011_6']), 'c_1010_3' : negation(d['c_0101_0']), 'c_1010_2' : negation(d['c_0101_0']), 'c_1010_1' : negation(d['c_1001_3']), 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : negation(d['c_0011_10']), 'c_1010_8' : negation(d['c_0101_11']), 'c_1100_8' : negation(d['c_0011_10']), 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : 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'], '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' : negation(d['c_0011_6']), 'c_0011_8' : negation(d['c_0011_6']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_4']), '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_0']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0110_11'], 'c_0110_10' : negation(d['c_0101_11']), 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_3'], 'c_0101_6' : negation(d['c_0101_3']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_4'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_6']), 'c_0101_8' : d['c_0101_3'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0101_11']), 'c_0110_8' : d['c_0101_10'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_0101_10']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_1']), 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : d['c_0101_3'], 'c_0110_7' : negation(d['c_0011_6']), 'c_0110_6' : d['c_0011_4']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_4, c_0011_6, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_3, c_0110_11, c_1001_2, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 19 Groebner basis: [ t + 8288720493472/512975*c_1001_3^18 - 1362841901072/512975*c_1001_3^17 - 67479804186936/512975*c_1001_3^16 + 473728411492/102595*c_1001_3^15 + 47866245255478/102595*c_1001_3^14 + 21425498959427/512975*c_1001_3^13 - 18773820768022/20519*c_1001_3^12 - 120678434802491/512975*c_1001_3^11 + 548945819582034/512975*c_1001_3^10 + 261319221300123/512975*c_1001_3^9 - 367499761366601/512975*c_1001_3^8 - 287556707868216/512975*c_1001_3^7 + 97729228229364/512975*c_1001_3^6 + 159766370498403/512975*c_1001_3^5 + 5808593099569/102595*c_1001_3^4 - 1231641734130/20519*c_1001_3^3 - 19389291057109/512975*c_1001_3^2 - 4499520471881/512975*c_1001_3 - 393079516389/512975, c_0011_0 - 1, c_0011_10 - 32*c_1001_3^18 - 16*c_1001_3^17 + 264*c_1001_3^16 + 164*c_1001_3^15 - 930*c_1001_3^14 - 697*c_1001_3^13 + 1757*c_1001_3^12 + 1671*c_1001_3^11 - 1810*c_1001_3^10 - 2419*c_1001_3^9 + 749*c_1001_3^8 + 2055*c_1001_3^7 + 360*c_1001_3^6 - 869*c_1001_3^5 - 522*c_1001_3^4 + 45*c_1001_3^3 + 154*c_1001_3^2 + 69*c_1001_3 + 12, c_0011_4 - c_1001_3^2 + 1, c_0011_6 + 2016*c_1001_3^18 + 688*c_1001_3^17 - 16760*c_1001_3^16 - 7676*c_1001_3^15 + 59966*c_1001_3^14 + 34447*c_1001_3^13 - 116731*c_1001_3^12 - 87006*c_1001_3^11 + 128983*c_1001_3^10 + 132626*c_1001_3^9 - 69567*c_1001_3^8 - 119556*c_1001_3^7 - 2879*c_1001_3^6 + 56292*c_1001_3^5 + 23836*c_1001_3^4 - 7186*c_1001_3^3 - 8728*c_1001_3^2 - 2726*c_1001_3 - 308, c_0101_0 - 1, c_0101_1 - c_1001_3, c_0101_10 + 41760*c_1001_3^18 + 6896*c_1001_3^17 - 347320*c_1001_3^16 - 97644*c_1001_3^15 + 1250414*c_1001_3^14 + 490747*c_1001_3^13 - 2471932*c_1001_3^12 - 1354043*c_1001_3^11 + 2845086*c_1001_3^10 + 2210611*c_1001_3^9 - 1753620*c_1001_3^8 - 2109053*c_1001_3^7 + 262211*c_1001_3^6 + 1062749*c_1001_3^5 + 316505*c_1001_3^4 - 174396*c_1001_3^3 - 142930*c_1001_3^2 - 37337*c_1001_3 - 3562, c_0101_11 + 53056*c_1001_3^18 - 32*c_1001_3^17 - 438928*c_1001_3^16 - 51752*c_1001_3^15 + 1577892*c_1001_3^14 + 363402*c_1001_3^13 - 3130878*c_1001_3^12 - 1198967*c_1001_3^11 + 3672509*c_1001_3^10 + 2174727*c_1001_3^9 - 2416901*c_1001_3^8 - 2216897*c_1001_3^7 + 576280*c_1001_3^6 + 1181025*c_1001_3^5 + 250384*c_1001_3^4 - 218779*c_1001_3^3 - 144755*c_1001_3^2 - 33907*c_1001_3 - 2942, c_0101_3 + 32*c_1001_3^18 + 16*c_1001_3^17 - 264*c_1001_3^16 - 164*c_1001_3^15 + 930*c_1001_3^14 + 697*c_1001_3^13 - 1757*c_1001_3^12 - 1671*c_1001_3^11 + 1810*c_1001_3^10 + 2419*c_1001_3^9 - 749*c_1001_3^8 - 2055*c_1001_3^7 - 360*c_1001_3^6 + 869*c_1001_3^5 + 522*c_1001_3^4 - 45*c_1001_3^3 - 154*c_1001_3^2 - 68*c_1001_3 - 12, c_0110_11 + 7552*c_1001_3^18 + 3360*c_1001_3^17 - 64560*c_1001_3^16 - 34056*c_1001_3^15 + 237964*c_1001_3^14 + 144610*c_1001_3^13 - 481017*c_1001_3^12 - 350959*c_1001_3^11 + 561033*c_1001_3^10 + 525484*c_1001_3^9 - 343667*c_1001_3^8 - 476872*c_1001_3^7 + 43920*c_1001_3^6 + 234176*c_1001_3^5 + 69255*c_1001_3^4 - 38733*c_1001_3^3 - 30305*c_1001_3^2 - 7502*c_1001_3 - 670, c_1001_2 + 32*c_1001_3^18 + 16*c_1001_3^17 - 264*c_1001_3^16 - 164*c_1001_3^15 + 930*c_1001_3^14 + 697*c_1001_3^13 - 1757*c_1001_3^12 - 1671*c_1001_3^11 + 1810*c_1001_3^10 + 2419*c_1001_3^9 - 749*c_1001_3^8 - 2055*c_1001_3^7 - 360*c_1001_3^6 + 869*c_1001_3^5 + 522*c_1001_3^4 - 45*c_1001_3^3 - 154*c_1001_3^2 - 68*c_1001_3 - 12, c_1001_3^19 + 1/2*c_1001_3^18 - 33/4*c_1001_3^17 - 41/8*c_1001_3^16 + 465/16*c_1001_3^15 + 697/32*c_1001_3^14 - 1757/32*c_1001_3^13 - 1671/32*c_1001_3^12 + 905/16*c_1001_3^11 + 2419/32*c_1001_3^10 - 749/32*c_1001_3^9 - 2055/32*c_1001_3^8 - 45/4*c_1001_3^7 + 869/32*c_1001_3^6 + 261/16*c_1001_3^5 - 45/32*c_1001_3^4 - 77/16*c_1001_3^3 - 67/32*c_1001_3^2 - 13/32*c_1001_3 - 1/32 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.140 Total time: 0.350 seconds, Total memory usage: 32.09MB