Magma V2.19-8 Wed Aug 21 2013 00:56:53 on localhost [Seed = 2067620259] Type ? for help. Type -D to quit. Loading file "L13n3068__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n3068 geometric_solution 11.23289685 oriented_manifold CS_known -0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -2 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 0 0 0 2 -3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.083341228010 0.569275979301 0 5 7 6 0132 0132 0132 0132 1 1 0 1 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 -4 4 0 1 0 -1 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 0.658391705900 0.669961386248 3 0 9 8 1230 0132 0132 0132 1 0 0 1 0 0 0 0 0 0 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 0 0 0 0 0 -3 3 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.379474953266 2.051052151234 10 2 5 0 0132 3012 2103 0132 1 1 0 0 0 0 0 0 0 0 0 0 1 0 0 -1 -2 2 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 1 0 0 -1 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.332946836167 0.566613045690 7 7 0 9 0321 0213 0132 0321 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 -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 0.151915072069 0.665530663082 3 1 11 12 2103 0132 0132 0132 1 1 1 0 0 -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 4 -4 0 -1 0 1 0 0 0 0 0 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.192322326109 0.637745450087 9 8 1 7 0321 2103 0132 0321 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 0 0 0 0 0 0 0 0 0 0 0 3 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.618703625547 0.381267142621 4 6 4 1 0321 0321 0213 0132 1 1 1 1 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 3 1 -4 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 0.674008463966 1.428149032094 11 6 2 12 1302 2103 0132 3201 1 0 1 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 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.229118315666 1.311895989329 6 4 12 2 0321 0321 3201 0132 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 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 -0.326521750969 0.430641987789 3 11 12 11 0132 1023 0132 0132 1 1 0 0 0 0 0 0 0 0 0 0 2 -1 0 -1 -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 0 0 3 -2 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.433444293334 1.437311681553 10 8 10 5 1023 2031 0132 0132 1 1 0 0 0 1 0 -1 0 0 0 0 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 -3 -1 4 1 0 0 -1 2 0 0 -2 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.433444293334 1.437311681553 9 8 5 10 2310 2310 0132 0132 1 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 0 0 0 0 0 0 0.192322326109 0.637745450087 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : negation(d['c_0011_7']), 'c_1001_11' : d['c_0101_11'], 'c_1001_10' : d['c_0101_11'], 'c_1001_12' : d['c_1001_1'], 'c_1001_5' : d['c_0011_8'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_1001_2'], 'c_1001_6' : d['c_0011_8'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0011_6'], 'c_1001_3' : d['c_0011_0'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : negation(d['c_0101_12']), 'c_1001_8' : d['c_0011_6'], 'c_1010_12' : d['c_0101_11'], 'c_1010_11' : d['c_0011_8'], 'c_1010_10' : d['c_0101_11'], 's_0_10' : negation(d['1']), 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : negation(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_0'], 's_2_0' : negation(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_12' : negation(d['1']), 's_2_10' : negation(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' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_0011_11' : d['c_0011_10'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_1100_10'], 'c_1100_4' : negation(d['c_0101_12']), 'c_1100_7' : d['c_1001_2'], 'c_1100_6' : d['c_1001_2'], 'c_1100_1' : d['c_1001_2'], 'c_1100_0' : negation(d['c_0101_12']), 'c_1100_3' : negation(d['c_0101_12']), 'c_1100_2' : negation(d['c_0011_12']), 's_3_11' : d['1'], 'c_1100_11' : d['c_1100_10'], 'c_1100_10' : d['c_1100_10'], 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_1'], 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_1001_2'], 'c_1010_3' : d['c_0011_6'], 'c_1010_2' : d['c_0011_6'], 'c_1010_1' : d['c_0011_8'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_1001_2'], 'c_1010_8' : negation(d['c_1001_1']), 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : negation(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'], 'c_1100_12' : d['c_1100_10'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : negation(d['1']), 's_1_4' : 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_7'], 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_7'], '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_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_11'], 'c_0110_10' : d['c_0101_11'], 'c_0110_12' : d['c_0101_0'], 'c_0101_12' : d['c_0101_12'], 'c_0110_0' : negation(d['c_0011_4']), 'c_0101_7' : d['c_0011_4'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_11'], 'c_0101_4' : negation(d['c_0011_4']), 'c_0101_3' : d['c_0101_11'], 'c_0101_2' : negation(d['c_0011_6']), 'c_0101_1' : negation(d['c_0011_4']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0101_0']), 'c_0101_8' : negation(d['c_0011_10']), 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_6']), 'c_0110_8' : negation(d['c_0101_11']), 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_0011_12']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_10']), 'c_0110_5' : d['c_0101_12'], 'c_0110_4' : negation(d['c_0011_7']), 'c_0110_7' : negation(d['c_0011_4']), 'c_1100_8' : negation(d['c_0011_12'])})} 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_12, c_0011_4, c_0011_6, c_0011_7, c_0011_8, c_0101_0, c_0101_11, c_0101_12, c_1001_1, c_1001_2, c_1100_10 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t + 10806816271/16124866000*c_1100_10^10 + 78616646227/16124866000*c_1100_10^9 + 20719181997/1612486600*c_1100_10^8 + 308117169511/16124866000*c_1100_10^7 + 150875011397/3224973200*c_1100_10^6 - 540778509329/16124866000*c_1100_10^5 - 4396458619/2015608250*c_1100_10^4 - 1684202469799/16124866000*c_1100_10^3 - 1373092388023/16124866000*c_1100_10^2 + 397160918543/8062433000*c_1100_10 - 73135012457/2015608250, c_0011_0 - 1, c_0011_10 - 108222517/4031216500*c_1100_10^10 - 826483219/4031216500*c_1100_10^9 - 121586252/201560825*c_1100_10^8 - 4499537797/4031216500*c_1100_10^7 - 2228374437/806243300*c_1100_10^6 - 2613160587/4031216500*c_1100_10^5 - 4341608723/2015608250*c_1100_10^4 + 5096135753/4031216500*c_1100_10^3 + 11828827971/4031216500*c_1100_10^2 - 1690672288/1007804125*c_1100_10 + 392689258/1007804125, c_0011_12 + 1, c_0011_4 + 1, c_0011_6 - 605778/201560825*c_1100_10^10 - 1056651/201560825*c_1100_10^9 + 675124/8062433*c_1100_10^8 + 84030332/201560825*c_1100_10^7 + 38285384/40312165*c_1100_10^6 + 580821932/201560825*c_1100_10^5 + 534630056/201560825*c_1100_10^4 + 812314172/201560825*c_1100_10^3 + 222899624/201560825*c_1100_10^2 - 267445423/201560825*c_1100_10 + 12604538/201560825, c_0011_7 - 6302269/806243300*c_1100_10^10 - 59143533/806243300*c_1100_10^9 - 4370075/16124866*c_1100_10^8 - 442971389/806243300*c_1100_10^7 - 33696119/32249732*c_1100_10^6 - 627093769/806243300*c_1100_10^5 + 171174447/201560825*c_1100_10^4 + 1086041301/806243300*c_1100_10^3 + 3129513577/806243300*c_1100_10^2 + 351265213/403121650*c_1100_10 + 110467151/201560825, c_0011_8 - 181503999/4031216500*c_1100_10^10 - 1568795103/4031216500*c_1100_10^9 - 558822553/403121650*c_1100_10^8 - 12530941559/4031216500*c_1100_10^7 - 5806192541/806243300*c_1100_10^6 - 29395621419/4031216500*c_1100_10^5 - 8949461528/1007804125*c_1100_10^4 - 18336721789/4031216500*c_1100_10^3 + 1567503087/4031216500*c_1100_10^2 - 1347274357/2015608250*c_1100_10 + 104872696/1007804125, c_0101_0 + 181503999/4031216500*c_1100_10^10 + 1568795103/4031216500*c_1100_10^9 + 558822553/403121650*c_1100_10^8 + 12530941559/4031216500*c_1100_10^7 + 5806192541/806243300*c_1100_10^6 + 29395621419/4031216500*c_1100_10^5 + 8949461528/1007804125*c_1100_10^4 + 18336721789/4031216500*c_1100_10^3 - 1567503087/4031216500*c_1100_10^2 + 1347274357/2015608250*c_1100_10 - 104872696/1007804125, c_0101_11 - 214106901/4031216500*c_1100_10^10 - 1913620237/4031216500*c_1100_10^9 - 712886237/403121650*c_1100_10^8 - 16580633841/4031216500*c_1100_10^7 - 7537769087/806243300*c_1100_10^6 - 41889531601/4031216500*c_1100_10^5 - 11748483472/1007804125*c_1100_10^4 - 25487528031/4031216500*c_1100_10^3 + 2093828713/4031216500*c_1100_10^2 - 2229202183/2015608250*c_1100_10 - 609074666/1007804125, c_0101_12 - 79723293/4031216500*c_1100_10^10 - 622874401/4031216500*c_1100_10^9 - 193759111/403121650*c_1100_10^8 - 3923126013/4031216500*c_1100_10^7 - 1936318823/806243300*c_1100_10^6 - 5327806773/4031216500*c_1100_10^5 - 3024182496/1007804125*c_1100_10^4 - 1233038263/4031216500*c_1100_10^3 - 1646288891/4031216500*c_1100_10^2 - 3786177479/2015608250*c_1100_10 - 394728593/1007804125, c_1001_1 + 79723293/4031216500*c_1100_10^10 + 622874401/4031216500*c_1100_10^9 + 193759111/403121650*c_1100_10^8 + 3923126013/4031216500*c_1100_10^7 + 1936318823/806243300*c_1100_10^6 + 5327806773/4031216500*c_1100_10^5 + 3024182496/1007804125*c_1100_10^4 + 1233038263/4031216500*c_1100_10^3 + 1646288891/4031216500*c_1100_10^2 + 3786177479/2015608250*c_1100_10 + 394728593/1007804125, c_1001_2 - 7143339/201560825*c_1100_10^10 - 126653999/403121650*c_1100_10^9 - 93268353/80624330*c_1100_10^8 - 539679874/201560825*c_1100_10^7 - 2501554063/403121650*c_1100_10^6 - 2834376917/403121650*c_1100_10^5 - 3332531299/403121650*c_1100_10^4 - 1146549446/201560825*c_1100_10^3 - 172552241/403121650*c_1100_10^2 - 677713169/403121650*c_1100_10 - 75571229/201560825, c_1100_10^11 + 9*c_1100_10^10 + 34*c_1100_10^9 + 81*c_1100_10^8 + 187*c_1100_10^7 + 221*c_1100_10^6 + 260*c_1100_10^5 + 167*c_1100_10^4 + 19*c_1100_10^3 + 30*c_1100_10^2 + 16*c_1100_10 + 8 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.100 Total time: 0.310 seconds, Total memory usage: 32.09MB