Magma V2.19-8 Tue Aug 20 2013 23:58:48 on localhost [Seed = 223045011] Type ? for help. Type -D to quit. Loading file "L14n41098__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n41098 geometric_solution 10.31877867 oriented_manifold CS_known 0.0000000000000001 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 2 0132 0132 0132 1230 2 0 1 0 0 -1 1 0 0 0 -1 1 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 1 0 1 -2 1 -1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.447226846706 0.524322111638 0 4 4 3 0132 0132 1302 0132 2 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 0 0 0 0 0 0 0 0 -1 0 1 0 0 -1 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.058322159497 1.104009111822 0 0 4 5 3012 0132 0132 0132 2 2 0 1 0 1 -1 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 1 0 0 -1 2 -1 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.952282469613 0.903268822606 6 7 1 0 0132 0132 0132 0132 2 0 0 0 0 1 0 -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 0 0 0 1 0 0 -1 -1 0 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.095018731860 0.944048612314 1 1 5 2 2031 0132 2103 0132 2 2 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 0 0 0 0 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 0.547509365930 0.472024306157 4 7 2 8 2103 1302 0132 0132 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 -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 0.894453693413 1.048644223277 3 9 10 10 0132 0132 0132 3120 2 0 0 0 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 1 -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 0.904564939226 1.806537645212 11 3 11 5 0132 0132 1023 2031 2 2 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 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 0.594522693348 1.500460350492 10 9 5 10 1023 0321 0132 3012 2 2 0 2 0 0 0 0 0 0 0 0 -1 0 0 1 0 -1 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 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.029161079749 0.552004555911 11 6 11 8 1023 0132 0132 0321 2 2 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 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 -0.283841313115 0.674951873643 6 8 8 6 3120 1023 1230 0132 2 0 0 2 0 0 0 0 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 1 0 -1 -1 0 1 0 0 -1 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.029161079749 0.552004555911 7 9 7 9 0132 1023 1023 0132 2 2 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 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 0.377779958911 0.228356795157 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_7'], 'c_1001_10' : d['c_0101_8'], 'c_1001_5' : d['c_0101_11'], 'c_1001_4' : d['c_0011_5'], 'c_1001_7' : d['c_0101_11'], 'c_1001_6' : negation(d['c_0101_10']), 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : d['c_0101_11'], 'c_1001_3' : d['c_0011_5'], 'c_1001_2' : d['c_0101_2'], 'c_1001_9' : negation(d['c_0011_10']), 'c_1001_8' : d['c_1001_8'], 'c_1010_11' : negation(d['c_0011_10']), 'c_1010_10' : negation(d['c_0101_10']), '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' : negation(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' : negation(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' : d['c_1001_8'], 'c_1100_8' : negation(d['c_0101_8']), 'c_1100_5' : negation(d['c_0101_8']), 'c_1100_4' : negation(d['c_0101_8']), 'c_1100_7' : negation(d['c_1001_8']), 'c_1100_6' : negation(d['c_0101_10']), 'c_1100_1' : d['c_0101_4'], 'c_1100_0' : d['c_0101_4'], 'c_1100_3' : d['c_0101_4'], 'c_1100_2' : negation(d['c_0101_8']), 's_3_11' : d['1'], 'c_1100_11' : d['c_1001_8'], 'c_1100_10' : negation(d['c_0101_10']), 's_0_11' : d['1'], 'c_1010_7' : d['c_0011_5'], 'c_1010_6' : negation(d['c_0011_10']), 'c_1010_5' : d['c_1001_8'], 'c_1010_4' : d['c_0101_2'], 'c_1010_3' : d['c_0101_11'], 'c_1010_2' : d['c_0101_11'], 'c_1010_1' : d['c_0011_5'], 'c_1010_0' : d['c_0101_2'], 'c_1010_9' : negation(d['c_0101_10']), 'c_1010_8' : negation(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' : 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' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_11'], 'c_0011_8' : d['c_0011_10'], '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_11'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_7'], 'c_0110_10' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_0']), 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_4'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_7'], 'c_0101_8' : d['c_0101_8'], 'c_0011_10' : d['c_0011_10'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_10']), 'c_0110_8' : negation(d['c_0101_10']), 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : d['c_0011_11'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_4'], 'c_0110_5' : d['c_0101_8'], 'c_0110_4' : d['c_0101_2'], 'c_0110_7' : d['c_0101_11'], 'c_0110_6' : d['c_0101_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_10, c_0011_11, c_0011_5, c_0101_0, c_0101_10, c_0101_11, c_0101_2, c_0101_4, c_0101_7, c_0101_8, c_1001_8 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 110281372415741568781377/11314375471318010*c_1001_8^5 + 1203535283394595383233481/62229065092249055*c_1001_8^4 - 166314500533495989626249/12445813018449811*c_1001_8^3 + 96476782553698541909919/24891626036899622*c_1001_8^2 - 60471721868631304906823/124458130184498110*c_1001_8 - 3830819686602525259623/124458130184498110, c_0011_0 - 1, c_0011_10 - 303051008585160/676292616337*c_1001_8^5 + 597278113291929/676292616337*c_1001_8^4 - 422693818621848/676292616337*c_1001_8^3 + 133649649462341/676292616337*c_1001_8^2 - 19323783656596/676292616337*c_1001_8 - 625901555683/676292616337, c_0011_11 + 292783479299388/676292616337*c_1001_8^5 - 629217850071004/676292616337*c_1001_8^4 + 471475237518748/676292616337*c_1001_8^3 - 148991953541376/676292616337*c_1001_8^2 + 19151678090905/676292616337*c_1001_8 + 1152307981256/676292616337, c_0011_5 - 471530007622476/676292616337*c_1001_8^5 + 963928263042404/676292616337*c_1001_8^4 - 688287917755332/676292616337*c_1001_8^3 + 206902266361912/676292616337*c_1001_8^2 - 25440971731176/676292616337*c_1001_8 - 2121700308763/676292616337, c_0101_0 - 1, c_0101_10 - 309498542010207/676292616337*c_1001_8^5 + 611424602614310/676292616337*c_1001_8^4 - 424118128260652/676292616337*c_1001_8^3 + 127831435958888/676292616337*c_1001_8^2 - 18006047626349/676292616337*c_1001_8 - 700337888966/676292616337, c_0101_11 - 1, c_0101_2 - 235765003811238/676292616337*c_1001_8^5 + 481964131521202/676292616337*c_1001_8^4 - 344143958877666/676292616337*c_1001_8^3 + 103451133180956/676292616337*c_1001_8^2 - 12720485865588/676292616337*c_1001_8 - 722703846213/676292616337, c_0101_4 - 235765003811238/676292616337*c_1001_8^5 + 481964131521202/676292616337*c_1001_8^4 - 344143958877666/676292616337*c_1001_8^3 + 103451133180956/676292616337*c_1001_8^2 - 12720485865588/676292616337*c_1001_8 - 1398996462550/676292616337, c_0101_7 + 170981246008188/676292616337*c_1001_8^5 - 381788375335684/676292616337*c_1001_8^4 + 299099651365540/676292616337*c_1001_8^3 - 99060885258233/676292616337*c_1001_8^2 + 14406938466512/676292616337*c_1001_8 + 212788470737/676292616337, c_0101_8 + 89373264161544/676292616337*c_1001_8^5 - 167355206485700/676292616337*c_1001_8^4 + 108406340118292/676292616337*c_1001_8^3 - 28955156410268/676292616337*c_1001_8^2 + 3482793128304/676292616337*c_1001_8 + 146549855585/676292616337, c_1001_8^6 - 19157/9801*c_1001_8^5 + 1429/1089*c_1001_8^4 - 3500/9801*c_1001_8^3 + 34/891*c_1001_8^2 + 5/1089*c_1001_8 + 1/9801 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.230 seconds, Total memory usage: 32.09MB