Magma V2.19-8 Tue Aug 20 2013 23:47:38 on localhost [Seed = 1899436834] Type ? for help. Type -D to quit. Loading file "L11a304__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L11a304 geometric_solution 10.67325819 oriented_manifold CS_known 0.0000000000000005 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 0 2 0 0132 2310 0132 3201 0 0 0 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 -1 0 1 0 0 4 -4 -5 4 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.804653325621 0.934323450577 0 3 5 4 0132 0132 0132 0132 1 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 0 1 -1 0 0 0 0 -1 1 0 0 5 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.385787260395 0.352889941317 4 5 6 0 0132 1023 0132 0132 0 0 0 1 0 0 0 0 -1 0 0 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 4 0 0 -4 0 0 0 0 -1 -1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.977322054370 0.792014595940 7 1 8 9 0132 0132 0132 0132 1 1 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 0 -5 5 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.719258317424 1.276772324037 2 8 1 10 0132 0213 0132 0132 1 0 1 0 0 0 1 -1 1 0 0 -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 1 1 -2 -4 0 0 4 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.467381982588 0.762124182445 2 9 9 1 1023 0132 1302 0132 1 0 0 1 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 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 0.616088651645 0.881562479300 7 8 7 2 3012 3012 2310 0132 0 0 1 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 2 0 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.019288345586 0.644404149179 3 6 11 6 0132 3201 0132 1230 0 1 0 0 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 0 0 2 -2 0 0 0 0 5 0 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.449048617668 0.568326025030 6 11 4 3 1230 3120 0213 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 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 0.046244464525 0.520265453039 5 5 3 10 2031 0132 0132 0321 1 1 1 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 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.467381982588 0.762124182445 11 9 4 11 2031 0321 0132 1230 1 0 1 1 0 0 1 -1 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 2 -2 0 0 -4 4 0 1 0 -1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.616088651645 0.881562479300 10 8 10 7 3012 3120 1302 0132 0 1 0 1 0 0 0 0 1 0 0 -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 0 0 0 2 0 0 -2 -4 -1 0 5 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.415245648677 0.953514359851 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_11'], 'c_1001_10' : d['c_1001_10'], 'c_1001_5' : negation(d['c_0011_10']), 'c_1001_4' : negation(d['c_0011_11']), 'c_1001_7' : negation(d['c_0011_8']), 'c_1001_6' : negation(d['c_0011_8']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : negation(d['c_0011_11']), 'c_1001_2' : d['c_0011_2'], 'c_1001_9' : d['c_1001_1'], 'c_1001_8' : negation(d['c_0011_11']), 'c_1010_11' : negation(d['c_0011_8']), 'c_1010_10' : negation(d['c_0011_10']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : negation(d['c_0011_10']), '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' : d['1'], 's_2_5' : d['1'], 's_2_6' : negation(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' : negation(d['1']), 's_0_4' : 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_1100_8' : d['c_1001_10'], 'c_1100_5' : d['c_0101_7'], 'c_1100_4' : d['c_0101_7'], 'c_1100_7' : d['c_0101_10'], 'c_1100_6' : negation(d['c_0011_0']), 'c_1100_1' : d['c_0101_7'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : d['c_1001_10'], 'c_1100_2' : negation(d['c_0011_0']), 's_3_11' : d['1'], 'c_1100_11' : d['c_0101_10'], 'c_1100_10' : d['c_0101_7'], 's_0_11' : d['1'], 'c_1010_7' : d['c_0011_8'], 'c_1010_6' : d['c_0011_2'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_1001_10'], 'c_1010_3' : d['c_1001_1'], 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : negation(d['c_0011_11']), 'c_1010_0' : negation(d['c_0101_1']), 'c_1010_9' : negation(d['c_0011_10']), 'c_1010_8' : negation(d['c_0011_11']), 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : 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' : negation(d['1']), 's_3_9' : d['1'], 's_3_8' : d['1'], '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' : d['1'], 's_1_1' : negation(d['1']), 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_2']), 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_2'], 'c_0011_4' : negation(d['c_0011_2']), 'c_0011_7' : negation(d['c_0011_0']), 'c_0110_6' : d['c_0101_10'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_0'], 'c_0011_2' : d['c_0011_2'], 'c_0110_11' : d['c_0101_7'], 'c_0110_10' : d['c_0011_11'], 'c_0110_0' : d['c_0101_1'], 'c_0011_6' : d['c_0011_6'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0011_8'], 'c_0101_5' : d['c_0011_2'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0011_6'], '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_7'], 'c_0101_8' : negation(d['c_0011_2']), 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_10']), 'c_0110_8' : d['c_0011_6'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_1001_10'], 'c_0110_3' : d['c_0101_7'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0011_6'], 'c_0011_10' : d['c_0011_10']})} 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_11, c_0011_2, c_0011_6, c_0011_8, c_0101_0, c_0101_1, c_0101_10, c_0101_7, c_1001_1, c_1001_10 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 5 Groebner basis: [ t - 25129679/148524320*c_1001_10^4 - 1575666913/148524320*c_1001_10^3 + 133469433/18565540*c_1001_10^2 - 67000479/21217760*c_1001_10 - 864163/9282770, c_0011_0 - 1, c_0011_10 + 271/265222*c_1001_10^4 + 16615/265222*c_1001_10^3 - 18760/132611*c_1001_10^2 + 46291/265222*c_1001_10 - 87772/132611, c_0011_11 + 6411/530444*c_1001_10^4 + 405781/530444*c_1001_10^3 - 7081/132611*c_1001_10^2 + 260285/530444*c_1001_10 - 44355/132611, c_0011_2 - 6411/530444*c_1001_10^4 - 405781/530444*c_1001_10^3 + 7081/132611*c_1001_10^2 - 260285/530444*c_1001_10 + 44355/132611, c_0011_6 - 8037/530444*c_1001_10^4 - 505471/530444*c_1001_10^3 + 63361/132611*c_1001_10^2 + 522857/530444*c_1001_10 + 42449/132611, c_0011_8 + 4205/1060888*c_1001_10^4 + 252915/1060888*c_1001_10^3 - 108984/132611*c_1001_10^2 - 674381/1060888*c_1001_10 - 6262/132611, c_0101_0 + 21701/1060888*c_1001_10^4 + 1396059/1060888*c_1001_10^3 + 162710/132611*c_1001_10^2 - 758845/1060888*c_1001_10 + 23566/132611, c_0101_1 - 4205/1060888*c_1001_10^4 - 252915/1060888*c_1001_10^3 + 108984/132611*c_1001_10^2 + 674381/1060888*c_1001_10 + 6262/132611, c_0101_10 + 1, c_0101_7 - 1229/132611*c_1001_10^4 - 79754/132611*c_1001_10^3 - 117087/132611*c_1001_10^2 + 48439/132611*c_1001_10 - 59753/132611, c_1001_1 - 1, c_1001_10^5 + 63*c_1001_10^4 - 24*c_1001_10^3 - 9*c_1001_10^2 - 16*c_1001_10 + 32 ], Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_2, c_0011_6, c_0011_8, c_0101_0, c_0101_1, c_0101_10, c_0101_7, c_1001_1, c_1001_10 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 9642855127/53751530*c_1001_10^5 - 96997142677/53751530*c_1001_10^4 + 553839346681/53751530*c_1001_10^3 - 664376475419/26875765*c_1001_10^2 - 14328118488/26875765*c_1001_10 + 97765375797/53751530, c_0011_0 - 1, c_0011_10 - 296/15671*c_1001_10^5 + 3176/15671*c_1001_10^4 - 17919/15671*c_1001_10^3 + 47826/15671*c_1001_10^2 - 7625/15671*c_1001_10 + 1916/15671, c_0011_11 + 8957/109697*c_1001_10^5 - 88906/109697*c_1001_10^4 + 503848/109697*c_1001_10^3 - 1174567/109697*c_1001_10^2 - 84963/109697*c_1001_10 - 82332/109697, c_0011_2 + 2383/109697*c_1001_10^5 - 20910/109697*c_1001_10^4 + 112971/109697*c_1001_10^3 - 189250/109697*c_1001_10^2 - 220321/109697*c_1001_10 - 11825/109697, c_0011_6 - 6885/109697*c_1001_10^5 + 66674/109697*c_1001_10^4 - 378415/109697*c_1001_10^3 + 839785/109697*c_1001_10^2 + 138338/109697*c_1001_10 + 68920/109697, c_0011_8 - 39181/109697*c_1001_10^5 + 388636/109697*c_1001_10^4 - 2200955/109697*c_1001_10^3 + 5150342/109697*c_1001_10^2 + 485102/109697*c_1001_10 + 548190/109697, c_0101_0 - 2383/109697*c_1001_10^5 + 20910/109697*c_1001_10^4 - 112971/109697*c_1001_10^3 + 189250/109697*c_1001_10^2 + 220321/109697*c_1001_10 + 121522/109697, c_0101_1 + 15531/109697*c_1001_10^5 - 156902/109697*c_1001_10^4 + 894725/109697*c_1001_10^3 - 2159884/109697*c_1001_10^2 - 59302/109697*c_1001_10 - 43142/109697, c_0101_10 + 183/15671*c_1001_10^5 - 1540/15671*c_1001_10^4 + 8590/15671*c_1001_10^3 - 16756/15671*c_1001_10^2 + 2967/15671*c_1001_10 + 1992/15671, c_0101_7 + 1587/109697*c_1001_10^5 - 16181/109697*c_1001_10^4 + 89137/109697*c_1001_10^3 - 203370/109697*c_1001_10^2 - 148706/109697*c_1001_10 - 74439/109697, c_1001_1 - 1, c_1001_10^6 - 10*c_1001_10^5 + 57*c_1001_10^4 - 136*c_1001_10^3 - 2*c_1001_10^2 - 12*c_1001_10 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.090 Total time: 0.300 seconds, Total memory usage: 32.09MB