Magma V2.19-8 Tue Aug 20 2013 23:46:55 on localhost [Seed = 3069238424] Type ? for help. Type -D to quit. Loading file "K14n4821__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K14n4821 geometric_solution 10.66442439 oriented_manifold CS_known 0.0000000000000012 1 0 torus 0.000000000000 0.000000000000 12 1 2 3 2 0132 0132 0132 1230 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 0.511903948209 0.653376607921 0 4 6 5 0132 0132 0132 0132 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 -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 0.546278698528 0.267000384443 0 0 8 7 3012 0132 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.733825917656 0.982316261571 9 6 5 0 0132 1230 3012 0132 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 -1 0 1 0 0 -1 1 0 0 0 0 -12 12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.354089132787 0.527560347261 10 1 7 8 0132 0132 3201 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0.701917911565 0.679436058902 9 3 1 9 2103 1230 0132 0321 0 0 0 0 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 1 -12 11 0 0 0 0 -11 0 0 11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.281053623494 0.619089867780 7 11 3 1 1023 0132 3012 0132 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 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 0.562055300908 2.263649089187 4 6 2 10 2310 1023 0132 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.209593612817 0.389673220795 11 11 4 2 2310 3012 1230 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.502062860178 0.508128316040 3 5 5 11 0132 0321 2103 0213 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 -11 11 0 0 0 0 0 12 -11 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.220049523452 1.244518003192 4 7 10 10 0132 1302 2031 1302 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.695858233097 0.374241002702 8 6 8 9 1230 0132 3201 0213 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.016067527995 0.995819427711 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0101_8']), 'c_1001_10' : negation(d['c_0101_4']), 'c_1001_5' : negation(d['c_0101_7']), 'c_1001_4' : negation(d['c_0101_7']), 'c_1001_7' : d['c_0101_6'], 'c_1001_6' : negation(d['c_0011_3']), 'c_1001_1' : negation(d['c_0101_8']), 'c_1001_0' : d['c_0101_6'], 'c_1001_3' : negation(d['c_0011_5']), 'c_1001_2' : negation(d['c_0101_11']), 'c_1001_9' : d['c_0011_5'], 'c_1001_8' : negation(d['c_0011_11']), 'c_1010_11' : negation(d['c_0011_3']), 'c_1010_10' : negation(d['c_0101_10']), 's_0_10' : d['1'], 's_0_11' : 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_1100_9' : negation(d['c_0011_3']), 'c_0011_10' : negation(d['c_0011_0']), 'c_1100_5' : d['c_0011_5'], 'c_1100_4' : d['c_0011_11'], 'c_1100_7' : d['c_0101_10'], 'c_1100_6' : d['c_0011_5'], 'c_1100_1' : d['c_0011_5'], 'c_1100_0' : d['c_0101_7'], 'c_1100_3' : d['c_0101_7'], 'c_1100_2' : d['c_0101_10'], 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0011_8']), 'c_1100_10' : d['c_0101_10'], 's_3_10' : d['1'], 'c_1010_7' : negation(d['c_0011_0']), 'c_1010_6' : negation(d['c_0101_8']), 'c_1010_5' : negation(d['c_0011_8']), 'c_1010_4' : negation(d['c_0101_8']), 'c_1010_3' : d['c_0101_6'], 'c_1010_2' : d['c_0101_6'], 'c_1010_1' : negation(d['c_0101_7']), 'c_1010_0' : negation(d['c_0101_11']), 'c_1010_9' : negation(d['c_0011_8']), 'c_1010_8' : negation(d['c_0101_11']), 'c_1100_8' : d['c_0101_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_3']), 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_11']), 'c_0011_6' : negation(d['c_0011_11']), '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_0011_8'], 'c_0110_10' : d['c_0101_4'], 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0011_8']), 'c_0101_2' : negation(d['c_0101_11']), 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_0'], 'c_0101_8' : d['c_0101_8'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_8']), 'c_0110_8' : negation(d['c_0101_11']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_0']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_7'], 'c_0110_5' : d['c_0011_3'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : negation(d['c_0101_4']), 'c_0110_6' : negation(d['c_0011_0'])})} 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_11, c_0011_3, c_0011_5, c_0011_8, c_0101_0, c_0101_10, c_0101_11, c_0101_4, c_0101_6, c_0101_7, c_0101_8 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t + 714574937831/22092547939*c_0101_8^8 - 36412126182/105705971*c_0101_8^7 + 34407927064237/22092547939*c_0101_8^6 - 8117800221194/2008413449*c_0101_8^5 + 151802472351839/22092547939*c_0101_8^4 - 176897078178468/22092547939*c_0101_8^3 + 137810379038292/22092547939*c_0101_8^2 - 67310558064742/22092547939*c_0101_8 + 15832866142636/22092547939, c_0011_0 - 1, c_0011_11 + 2*c_0101_8 - 1, c_0011_3 - c_0101_8^8 + 10*c_0101_8^7 - 43*c_0101_8^6 + 108*c_0101_8^5 - 179*c_0101_8^4 + 202*c_0101_8^3 - 152*c_0101_8^2 + 70*c_0101_8 - 15, c_0011_5 + c_0101_8^7 - 8*c_0101_8^6 + 26*c_0101_8^5 - 48*c_0101_8^4 + 58*c_0101_8^3 - 44*c_0101_8^2 + 20*c_0101_8 - 4, c_0011_8 + c_0101_8^8 - 10*c_0101_8^7 + 43*c_0101_8^6 - 108*c_0101_8^5 + 179*c_0101_8^4 - 202*c_0101_8^3 + 152*c_0101_8^2 - 70*c_0101_8 + 15, c_0101_0 - c_0101_8^8 + 11*c_0101_8^7 - 51*c_0101_8^6 + 134*c_0101_8^5 - 227*c_0101_8^4 + 260*c_0101_8^3 - 196*c_0101_8^2 + 90*c_0101_8 - 19, c_0101_10 + c_0101_8^6 - 7*c_0101_8^5 + 19*c_0101_8^4 - 28*c_0101_8^3 + 26*c_0101_8^2 - 13*c_0101_8 + 3, c_0101_11 - c_0101_8 + 1, c_0101_4 + c_0101_8^3 - 3*c_0101_8^2 + 2*c_0101_8 - 1, c_0101_6 + c_0101_8^8 - 12*c_0101_8^7 + 59*c_0101_8^6 - 160*c_0101_8^5 + 275*c_0101_8^4 - 318*c_0101_8^3 + 240*c_0101_8^2 - 110*c_0101_8 + 23, c_0101_7 - 2*c_0101_8^7 + 17*c_0101_8^6 - 60*c_0101_8^5 + 121*c_0101_8^4 - 158*c_0101_8^3 + 132*c_0101_8^2 - 66*c_0101_8 + 15, c_0101_8^9 - 11*c_0101_8^8 + 52*c_0101_8^7 - 143*c_0101_8^6 + 261*c_0101_8^5 - 333*c_0101_8^4 + 296*c_0101_8^3 - 178*c_0101_8^2 + 65*c_0101_8 - 11 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 1.390 Total time: 1.590 seconds, Total memory usage: 32.09MB