Magma V2.19-8 Tue Aug 20 2013 23:57:03 on localhost [Seed = 1343633569] Type ? for help. Type -D to quit. Loading file "L14n28586__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n28586 geometric_solution 11.19272594 oriented_manifold CS_known -0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 1 2 3 0132 1230 0132 0132 1 1 0 1 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 -1 0 1 0 0 0 0 0 -1 0 1 0 10 -10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.179331723518 0.949985975066 0 4 0 5 0132 0132 3012 0132 1 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 0 0 0 0 0 0 0 0 0 0 0 10 -10 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 0.808126097271 1.016426502779 6 2 2 0 0132 1230 3012 0132 1 1 1 1 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 -10 0 0 10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.281159649230 0.891178063088 4 4 0 6 0132 1302 0132 3201 1 1 1 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 -1 1 0 0 0 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 0.834625204856 0.932809213911 3 1 7 3 0132 0132 0132 2031 1 1 0 1 0 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 -10 10 0 0 0 0 0 3 1 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.184265336059 1.039362758577 8 9 1 6 0132 0132 0132 2103 1 1 1 1 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 0 0 0 -1 0 1 0 10 0 0 -10 9 -9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.648347290502 0.945682703086 2 3 7 5 0132 2310 0321 2103 1 1 1 1 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 -10 10 0 0 0 0 0 0 0 0 10 -1 -9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.661140688896 0.399302401644 8 10 6 4 3201 0132 0321 0132 1 1 1 1 0 0 -1 1 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 0 10 -10 -9 0 9 0 0 0 0 0 10 -10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.250699191705 1.299655112386 5 9 11 7 0132 3201 0132 2310 1 1 1 1 0 0 0 0 0 0 -1 1 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 0 0 0 1 0 9 -10 -9 0 0 9 -10 10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.095076699657 1.265570680134 10 5 8 10 3201 0132 2310 0132 1 1 1 1 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 0 0 0 10 0 -10 0 0 9 0 -9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.426569761441 1.079152868713 11 7 9 9 2310 0132 0132 2310 1 1 1 1 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 10 0 -10 -9 0 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.072205696156 0.505214001108 11 11 10 8 1302 2031 3201 0132 1 1 1 1 0 1 -1 0 -1 0 0 1 -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 -9 9 0 9 0 0 -9 9 -9 0 0 9 -9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.030776687066 1.166038148340 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0101_10']), 'c_1001_10' : d['c_1001_10'], 'c_1001_5' : d['c_1001_10'], 'c_1001_4' : d['c_1001_10'], 'c_1001_7' : negation(d['c_0101_10']), 'c_1001_6' : d['c_1001_6'], 'c_1001_1' : negation(d['c_0011_0']), 'c_1001_0' : d['c_0101_2'], 'c_1001_3' : d['c_0101_1'], 'c_1001_2' : negation(d['c_0011_2']), 'c_1001_9' : d['c_0101_4'], 'c_1001_8' : d['c_0011_11'], 'c_1010_11' : d['c_0011_11'], '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' : negation(d['c_0011_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' : d['c_0011_11'], 'c_1100_8' : negation(d['c_0011_10']), 'c_1100_5' : negation(d['c_0101_2']), 'c_1100_4' : d['c_1001_6'], 'c_1100_7' : d['c_1001_6'], 'c_1100_6' : negation(d['c_0101_10']), 'c_1100_1' : negation(d['c_0101_2']), 'c_1100_0' : d['c_0011_2'], 'c_1100_3' : d['c_0011_2'], 'c_1100_2' : d['c_0011_2'], 's_3_11' : d['1'], 'c_1100_9' : negation(d['c_0011_5']), 'c_1100_11' : negation(d['c_0011_10']), 'c_1100_10' : negation(d['c_0011_5']), 's_3_10' : d['1'], 'c_1010_7' : d['c_1001_10'], 'c_1010_6' : negation(d['c_0101_4']), 'c_1010_5' : d['c_0101_4'], 'c_1010_4' : negation(d['c_0011_0']), 'c_1010_3' : negation(d['c_1001_6']), 'c_1010_2' : d['c_0101_2'], 'c_1010_1' : d['c_1001_10'], 'c_1010_0' : d['c_0101_1'], 'c_1010_9' : d['c_1001_10'], 'c_1010_8' : negation(d['c_0101_4']), '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_5']), 'c_0011_8' : negation(d['c_0011_5']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_10']), 'c_0011_6' : negation(d['c_0011_2']), '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' : d['c_0011_2'], 'c_0110_11' : d['c_0101_10'], 'c_0110_10' : d['c_0011_11'], 'c_0101_7' : negation(d['c_0101_0']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_11']), 'c_0101_8' : d['c_0101_10'], 'c_0011_10' : d['c_0011_10'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_10'], 'c_0110_8' : d['c_0101_0'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_4'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_10'], 'c_0110_4' : d['c_0101_1'], 'c_0110_7' : d['c_0101_4'], 'c_0110_6' : d['c_0101_2']})} 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_5, c_0101_0, c_0101_1, c_0101_10, c_0101_2, c_0101_4, c_1001_10, c_1001_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t + 582302274917964212118611/150514253336969891600*c_1001_6^10 - 1689551772448274833232703/37628563334242472900*c_1001_6^9 + 9381527539620948442202039/75257126668484945800*c_1001_6^8 + 7603464780863956877992283/75257126668484945800*c_1001_6^7 - 740204046275485117621149/752571266684849458*c_1001_6^6 + 20418403927314809967475501/13683113939724535600*c_1001_6^5 - 3539097125971230771732767/10751018095497849400*c_1001_6^4 - 77235426690743617272214009/75257126668484945800*c_1001_6^3 + 14299352824766010102796773/21502036190995698800*c_1001_6^2 + 358634375210717654819931/1881428166712123645*c_1001_6 - 29873471725295958044113707/150514253336969891600, c_0011_0 - 1, c_0011_10 + 4600772760311/482375579996*c_1001_6^10 - 146122663707884/1326532844989*c_1001_6^9 + 72759352005857/241187789998*c_1001_6^8 + 689772396433841/2653065689978*c_1001_6^7 - 3181209521560627/1326532844989*c_1001_6^6 + 18952809713017665/5306131379956*c_1001_6^5 - 1925129860739183/2653065689978*c_1001_6^4 - 597350147168035/241187789998*c_1001_6^3 + 8249257986495917/5306131379956*c_1001_6^2 + 621106498295557/1326532844989*c_1001_6 - 2463624220336369/5306131379956, c_0011_11 - 8975224738207/5306131379956*c_1001_6^10 + 25178952365381/1326532844989*c_1001_6^9 - 126924025142733/2653065689978*c_1001_6^8 - 148516817998223/2653065689978*c_1001_6^7 + 525655429457758/1326532844989*c_1001_6^6 - 256881069390445/482375579996*c_1001_6^5 + 160586709000089/2653065689978*c_1001_6^4 + 1014029671262897/2653065689978*c_1001_6^3 - 1094691896976419/5306131379956*c_1001_6^2 - 100546562130623/1326532844989*c_1001_6 + 334987020666863/5306131379956, c_0011_2 - 71565460009069/10612262759912*c_1001_6^10 + 101085844441271/1326532844989*c_1001_6^9 - 1043710962392603/5306131379956*c_1001_6^8 - 100889046811161/482375579996*c_1001_6^7 + 4263888649980035/2653065689978*c_1001_6^6 - 23889781635545205/10612262759912*c_1001_6^5 + 1832024996512635/5306131379956*c_1001_6^4 + 8466799378540883/5306131379956*c_1001_6^3 - 9848336212013037/10612262759912*c_1001_6^2 - 818942651614529/2653065689978*c_1001_6 + 2976132628448593/10612262759912, c_0011_5 - 126197182460115/10612262759912*c_1001_6^10 + 179717687834654/1326532844989*c_1001_6^9 - 1895780643393877/5306131379956*c_1001_6^8 - 1890035466716457/5306131379956*c_1001_6^7 + 7677074387559711/2653065689978*c_1001_6^6 - 3977968747263833/964751159992*c_1001_6^5 + 3601909311732889/5306131379956*c_1001_6^4 + 15446363058334385/5306131379956*c_1001_6^3 - 18206333133972267/10612262759912*c_1001_6^2 - 1496742207691043/2653065689978*c_1001_6 + 5488421021379367/10612262759912, c_0101_0 - 1, c_0101_1 - 145924026173913/21224525519824*c_1001_6^10 + 208530053849481/2653065689978*c_1001_6^9 - 2222975349509327/10612262759912*c_1001_6^8 - 2122319393703387/10612262759912*c_1001_6^7 + 8952827844032317/5306131379956*c_1001_6^6 - 51829757328814185/21224525519824*c_1001_6^5 + 4617993284518291/10612262759912*c_1001_6^4 + 18270997550865287/10612262759912*c_1001_6^3 - 22140786696503033/21224525519824*c_1001_6^2 - 1757928697361123/5306131379956*c_1001_6 + 6702350632449821/21224525519824, c_0101_10 + 63394050147025/10612262759912*c_1001_6^10 - 88735405426114/1326532844989*c_1001_6^9 + 890895902630359/5306131379956*c_1001_6^8 + 1046486238455271/5306131379956*c_1001_6^7 - 3695139874287239/2653065689978*c_1001_6^6 + 19905186092050833/10612262759912*c_1001_6^5 - 1146182489149747/5306131379956*c_1001_6^4 - 7164847417614387/5306131379956*c_1001_6^3 + 704789298915819/964751159992*c_1001_6^2 + 715334200510221/2653065689978*c_1001_6 - 2363556313301173/10612262759912, c_0101_2 + 99597329703339/21224525519824*c_1001_6^10 - 143098593835421/2653065689978*c_1001_6^9 + 1544905074821101/10612262759912*c_1001_6^8 + 1423747980041657/10612262759912*c_1001_6^7 - 562592969624033/482375579996*c_1001_6^6 + 36061648837378075/21224525519824*c_1001_6^5 - 3318899967101329/10612262759912*c_1001_6^4 - 12582758823897733/10612262759912*c_1001_6^3 + 15311357733406139/21224525519824*c_1001_6^2 + 1203364412190481/5306131379956*c_1001_6 - 4607483016873175/21224525519824, c_0101_4 - 99597329703339/21224525519824*c_1001_6^10 + 143098593835421/2653065689978*c_1001_6^9 - 1544905074821101/10612262759912*c_1001_6^8 - 1423747980041657/10612262759912*c_1001_6^7 + 562592969624033/482375579996*c_1001_6^6 - 36061648837378075/21224525519824*c_1001_6^5 + 3318899967101329/10612262759912*c_1001_6^4 + 12582758823897733/10612262759912*c_1001_6^3 - 15311357733406139/21224525519824*c_1001_6^2 - 1198058280810525/5306131379956*c_1001_6 + 4586258491353351/21224525519824, c_1001_10 + 37822950579817/10612262759912*c_1001_6^10 - 57387258281770/1326532844989*c_1001_6^9 + 709809841498495/5306131379956*c_1001_6^8 + 333058554412411/5306131379956*c_1001_6^7 - 2667279168834015/2653065689978*c_1001_6^6 + 1636403030362227/964751159992*c_1001_6^5 - 2704077232328619/5306131379956*c_1001_6^4 - 5976855820082383/5306131379956*c_1001_6^3 + 8745833684917825/10612262759912*c_1001_6^2 + 526878796080893/2653065689978*c_1001_6 - 2563692127371565/10612262759912, c_1001_6^11 - 167/13*c_1001_6^10 + 606/13*c_1001_6^9 - 180/13*c_1001_6^8 - 3726/13*c_1001_6^7 + 701*c_1001_6^6 - 7325/13*c_1001_6^5 - 2076/13*c_1001_6^4 + 6511/13*c_1001_6^3 - 2131/13*c_1001_6^2 - 1461/13*c_1001_6 + 827/13 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.160 Total time: 0.370 seconds, Total memory usage: 32.09MB