Magma V2.19-8 Wed Aug 21 2013 01:00:53 on localhost [Seed = 4122209819] Type ? for help. Type -D to quit. Loading file "L13n9870__sl2_c4.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n9870 geometric_solution 11.72121698 oriented_manifold CS_known 0.0000000000000003 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 2 1 2 1 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 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 0.090079809256 0.610796241026 0 5 7 6 0132 0132 0132 0132 2 1 1 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 -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 0.578031778567 0.990513862135 8 0 10 9 0132 0132 0132 0132 2 0 1 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 3 0 -2 -1 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.652634041511 0.967840938969 11 11 9 0 0132 2310 2310 0132 2 1 1 2 0 0 0 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 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 0.652634041511 0.967840938969 6 12 0 5 0132 0132 0132 0132 2 1 1 2 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 -1 0 0 0 0 0 0 -1 0 1 -4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.578031778567 0.990513862135 11 1 4 10 2103 0132 0132 0321 2 1 2 1 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 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 0.090079809256 0.610796241026 4 12 1 7 0132 0213 0132 3120 2 1 2 1 0 1 0 -1 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 3 0 -3 0 0 0 0 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.882601661659 0.557194996956 6 12 12 1 3120 0321 1302 0132 2 1 2 2 0 -1 1 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 -4 4 0 0 0 1 -1 0 0 0 0 3 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.413985205641 0.475410349978 2 11 10 9 0132 2103 2103 2103 2 0 2 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 0 0 0 0 0 0 -3 0 2 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 1.521054308515 0.710265199604 10 3 2 8 2103 3201 0132 2103 2 0 2 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 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 1.521054308515 0.710265199604 8 5 9 2 2103 0321 2103 0132 2 0 2 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 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 0 0 0 0.328515977079 0.915320583242 3 8 5 3 0132 2103 2103 3201 2 1 2 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 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 0.328515977079 0.915320583242 7 4 6 7 2031 0132 0213 0321 2 2 2 1 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 -1 -3 4 -4 0 4 0 3 -3 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.413985205641 0.475410349978 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_0'], 'c_1001_10' : d['c_0011_9'], 'c_1001_12' : d['c_1001_12'], 'c_1001_5' : d['c_1001_12'], 'c_1001_4' : d['c_1001_1'], 'c_1001_7' : negation(d['c_0011_7']), 'c_1001_6' : d['c_1001_12'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : negation(d['c_0101_3']), 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : d['c_1001_1'], 'c_1001_9' : negation(d['c_0101_3']), 'c_1001_8' : d['c_0011_10'], 'c_1010_12' : d['c_1001_1'], 'c_1010_11' : negation(d['c_1001_3']), 'c_1010_10' : d['c_1001_1'], 's_3_11' : 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_0'], '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' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : d['1'], 's_2_12' : 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' : 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_0011_9'], 'c_1100_4' : d['c_0011_9'], 'c_1100_7' : d['c_0011_12'], 'c_1100_6' : d['c_0011_12'], 'c_1100_1' : d['c_0011_12'], 'c_1100_0' : d['c_0011_9'], 'c_1100_3' : d['c_0011_9'], 'c_1100_2' : negation(d['c_0101_2']), 's_0_10' : d['1'], 'c_1100_9' : negation(d['c_0101_2']), 'c_1100_11' : d['c_0011_10'], 'c_1100_10' : negation(d['c_0101_2']), 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_1'], 'c_1010_6' : negation(d['c_0011_7']), 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_1001_12'], 'c_1010_3' : negation(d['c_0101_3']), 'c_1010_2' : negation(d['c_0101_3']), 'c_1010_1' : d['c_1001_12'], 'c_1010_0' : d['c_1001_1'], 'c_1010_9' : negation(d['c_1001_3']), 'c_1010_8' : d['c_1001_3'], 'c_1100_8' : negation(d['c_0101_2']), 's_3_1' : d['1'], 's_3_0' : negation(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' : negation(d['1']), 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : negation(d['c_0011_7']), 's_1_7' : negation(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' : d['1'], 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_9'], 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_12']), 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : d['c_0011_12'], '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_3'], 'c_0110_10' : d['c_0101_2'], 'c_0110_12' : negation(d['c_0011_7']), 'c_0101_12' : d['c_0011_12'], 'c_0101_7' : negation(d['c_0011_12']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_10'], 'c_0101_8' : d['c_0101_10'], 's_1_12' : negation(d['1']), 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_2'], 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_10'], 'c_0110_5' : negation(d['c_0011_10']), 'c_0110_4' : d['c_0101_0'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0101_1']})} 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_7, c_0011_9, c_0101_0, c_0101_1, c_0101_10, c_0101_2, c_0101_3, c_1001_1, c_1001_12, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 15292699664406952609963911/656714034097741352960*c_1001_3^9 + 678024562337271791325531057/8208925426221766912000*c_1001_3^8 - 51893181897958835494416301/513057839138860432000*c_1001_3^7 - 1068341477129994670824614173/16417850852443533824000*c_1001_3^6 + 26803201030560492706439161/205223135655544172800*c_1001_3^5 + 508000899944655458344989147/8208925426221766912000*c_1001_3^4 - 247535635792622892763853861/16417850852443533824000*c_1001_3^3 + 126625435491123993752899803/8208925426221766912000*c_1001_3^2 + 84566132122524638221648013/4104462713110883456000*c_1001_3 + 9694148902915761673086113/2052231356555441728000, c_0011_0 - 1, c_0011_10 - 1859954116610975/32066114946178777*c_1001_3^9 - 17268446125657986/32066114946178777*c_1001_3^8 - 37996867284660919/32066114946178777*c_1001_3^7 + 20646922928831188/32066114946178777*c_1001_3^6 + 49795692586059569/32066114946178777*c_1001_3^5 - 32354168297556496/32066114946178777*c_1001_3^4 - 80791040084876226/32066114946178777*c_1001_3^3 - 41306945737604049/32066114946178777*c_1001_3^2 + 13065997921107191/32066114946178777*c_1001_3 - 1954083657679383/32066114946178777, c_0011_12 + 108771519353665682325/1026115678277720864*c_1001_3^9 + 12391653601644901101/32066114946178777*c_1001_3^8 - 27171201253844262799/64132229892357554*c_1001_3^7 - 355248771329003162511/1026115678277720864*c_1001_3^6 + 286905098591763116153/513057839138860432*c_1001_3^5 + 188526342895970960515/513057839138860432*c_1001_3^4 - 65019965127085257403/1026115678277720864*c_1001_3^3 + 14675961183663707959/256528919569430216*c_1001_3^2 + 27626915285348886609/256528919569430216*c_1001_3 + 899022775815819797/32066114946178777, c_0011_7 + 1251185400796039404675/2052231356555441728*c_1001_3^9 + 2015711949876028421619/1026115678277720864*c_1001_3^8 - 103395541911673085591/32066114946178777*c_1001_3^7 - 974386509534459261209/2052231356555441728*c_1001_3^6 + 1639180424916191765875/513057839138860432*c_1001_3^5 + 656311561011083277739/1026115678277720864*c_1001_3^4 - 595946529395950325145/2052231356555441728*c_1001_3^3 + 485306015407401614293/1026115678277720864*c_1001_3^2 + 185027879514713786981/513057839138860432*c_1001_3 + 16012677792208711555/256528919569430216, c_0011_9 + 1, c_0101_0 - 1, c_0101_1 - 33684941579501317175/2052231356555441728*c_1001_3^9 - 64091814066573302919/1026115678277720864*c_1001_3^8 + 7220361745959195493/128264459784715108*c_1001_3^7 + 133454853294874610133/2052231356555441728*c_1001_3^6 - 40222849042606410343/513057839138860432*c_1001_3^5 - 72152093846097626743/1026115678277720864*c_1001_3^4 - 4532414228556355147/2052231356555441728*c_1001_3^3 - 2611557669090848177/1026115678277720864*c_1001_3^2 - 9381495838413142957/513057839138860432*c_1001_3 - 1792852731606986419/256528919569430216, c_0101_10 - 3688723832841175765/256528919569430216*c_1001_3^9 - 17619081829294005543/320661149461787770*c_1001_3^8 + 15289843605387858959/320661149461787770*c_1001_3^7 + 69951031571866874899/1282644597847151080*c_1001_3^6 - 8514397241151252235/128264459784715108*c_1001_3^5 - 37743214400933279001/641322298923575540*c_1001_3^4 - 5524907127936424697/1282644597847151080*c_1001_3^3 - 1503044342454609011/160330574730893885*c_1001_3^2 - 2630553247412221462/160330574730893885*c_1001_3 - 1018703136780442229/160330574730893885, c_0101_2 - 1, c_0101_3 - 1859954116610975/32066114946178777*c_1001_3^9 - 17268446125657986/32066114946178777*c_1001_3^8 - 37996867284660919/32066114946178777*c_1001_3^7 + 20646922928831188/32066114946178777*c_1001_3^6 + 49795692586059569/32066114946178777*c_1001_3^5 - 32354168297556496/32066114946178777*c_1001_3^4 - 80791040084876226/32066114946178777*c_1001_3^3 - 41306945737604049/32066114946178777*c_1001_3^2 + 13065997921107191/32066114946178777*c_1001_3 - 1954083657679383/32066114946178777, c_1001_1 - 464184011183422775/2052231356555441728*c_1001_3^9 - 1072543405669607207/1026115678277720864*c_1001_3^8 + 11551699085453809/128264459784715108*c_1001_3^7 + 3149350638089758933/2052231356555441728*c_1001_3^6 - 244700388762139511/513057839138860432*c_1001_3^5 - 1566788262683891863/1026115678277720864*c_1001_3^4 - 4125966918884734987/2052231356555441728*c_1001_3^3 + 1428425178451049199/1026115678277720864*c_1001_3^2 - 556690003984370237/513057839138860432*c_1001_3 - 922897486764155/256528919569430216, c_1001_12 + 33684941579501317175/2052231356555441728*c_1001_3^9 + 64091814066573302919/1026115678277720864*c_1001_3^8 - 7220361745959195493/128264459784715108*c_1001_3^7 - 133454853294874610133/2052231356555441728*c_1001_3^6 + 40222849042606410343/513057839138860432*c_1001_3^5 + 72152093846097626743/1026115678277720864*c_1001_3^4 + 4532414228556355147/2052231356555441728*c_1001_3^3 + 2611557669090848177/1026115678277720864*c_1001_3^2 + 9381495838413142957/513057839138860432*c_1001_3 + 1792852731606986419/256528919569430216, c_1001_3^10 + 668/175*c_1001_3^9 - 4108/1225*c_1001_3^8 - 4747/1225*c_1001_3^7 + 1142/245*c_1001_3^6 + 5146/1225*c_1001_3^5 + 281/1225*c_1001_3^4 + 584/1225*c_1001_3^3 + 184/175*c_1001_3^2 + 576/1225*c_1001_3 + 16/245 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.250 seconds, Total memory usage: 32.09MB