Magma V2.19-8 Tue Jan 14 2014 03:03:34 on localhost [Seed = 1254946678] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1751 geometric_solution 5.44367619 oriented_manifold CS_unknown 1 0 torus 0.000000000000 0.000000000000 7 1 1 2 3 0132 2310 0132 0132 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 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 0.370840115001 0.616169705448 0 3 2 0 0132 3012 3012 3201 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 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.174878595875 1.060198097540 4 1 3 0 0132 1230 2031 0132 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 -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 0.429523452409 0.710886164351 1 4 0 2 1230 3201 0132 1302 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 -1 2 -1 0 0 0 0 0 1 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.429523452409 0.710886164351 2 5 3 5 0132 0132 2310 1023 0 0 0 0 0 0 -1 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 -1 1 1 0 -1 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 0.802492079308 1.931535368910 6 4 6 4 0132 0132 1023 1023 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 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 0.529979101585 0.209429284451 5 6 5 6 0132 1302 1023 2031 0 0 0 0 0 0 -1 1 0 0 0 0 0 -1 0 1 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 -1 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.583183385688 0.051148530250 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(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_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : negation(d['1']), 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : 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' : negation(d['1']), 's_1_0' : negation(d['1']), 's_0_6' : 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' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : d['c_0011_2'], 'c_1100_5' : negation(d['c_0011_2']), 'c_1100_4' : d['c_0011_2'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0101_2'], 'c_1100_3' : d['c_0101_2'], 'c_1100_2' : d['c_0101_2'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], '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_0011_5' : d['c_0011_2'], 'c_0011_4' : negation(d['c_0011_2']), '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' : d['c_0011_2'], 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : d['c_0101_6'], 'c_1001_4' : d['c_0101_2'], 'c_1001_6' : d['c_0101_5'], 'c_1001_1' : negation(d['c_0011_2']), 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : negation(d['c_0101_0']), 'c_1001_2' : d['c_0011_0'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0011_0']), 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_6'], 'c_0110_4' : d['c_0101_2'], 'c_0110_6' : d['c_0101_5'], 'c_1010_6' : negation(d['c_0011_2']), 'c_1010_5' : d['c_0101_2'], 'c_1010_4' : d['c_0101_6'], 'c_1010_3' : negation(d['c_0101_2']), 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : negation(d['c_0101_0'])})} PY=EVAL=SECTION=ENDS=HERE DECOMPOSITION=TYPE: Primary Decomposition of Radical IDEAL=DECOMPOSITION=TIME: 0.220 IDEAL=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_2, c_0101_0, c_0101_1, c_0101_2, c_0101_5, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 2 Groebner basis: [ t - 9/4, c_0011_0 - 1, c_0011_2 + 1/2*c_0101_6, c_0101_0 - 1/2*c_0101_6, c_0101_1 + c_0101_6, c_0101_2 + 1, c_0101_5 + 1, c_0101_6^2 - 4/3 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_2, c_0101_0, c_0101_1, c_0101_2, c_0101_5, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t + 1021713509346345/7070477406592*c_0101_6^16 - 2695569003082071/17676193516480*c_0101_6^14 + 39291175669379213/35352387032960*c_0101_6^12 - 2180562910795063/3535238703296*c_0101_6^10 + 1079850101313883/441904837912*c_0101_6^8 - 75660958148325947/17676193516480*c_0101_6^6 + 35371064275586277/35352387032960*c_0101_6^4 + 1476180936077313/17676193516480*c_0101_6^2 + 6982573333696137/35352387032960, c_0011_0 - 1, c_0011_2 + 53728652242875/14140954813184*c_0101_6^17 - 29512223143985/7070477406592*c_0101_6^15 + 416476037660227/14140954813184*c_0101_6^13 - 123682988844733/7070477406592*c_0101_6^11 + 14437163345429/220952418956*c_0101_6^9 - 813867790502981/7070477406592*c_0101_6^7 + 454161922875219/14140954813184*c_0101_6^5 + 2985607599359/7070477406592*c_0101_6^3 + 68326057366791/14140954813184*c_0101_6, c_0101_0 + 57508763418525/14140954813184*c_0101_6^17 - 29340568843919/7070477406592*c_0101_6^15 + 444459063281253/14140954813184*c_0101_6^13 - 116266537726187/7070477406592*c_0101_6^11 + 31125093143391/441904837912*c_0101_6^9 - 836657772661139/7070477406592*c_0101_6^7 + 412303451420549/14140954813184*c_0101_6^5 - 23723116028895/7070477406592*c_0101_6^3 + 80075334055361/14140954813184*c_0101_6, c_0101_1 - 48516144883575/7070477406592*c_0101_6^17 + 402793814233/55238104739*c_0101_6^15 - 372529101320897/7070477406592*c_0101_6^13 + 104347001235457/3535238703296*c_0101_6^11 - 203604829278109/1767619351648*c_0101_6^9 + 719123291518331/3535238703296*c_0101_6^7 - 329822419840919/7070477406592*c_0101_6^5 - 7310256647717/883809675824*c_0101_6^3 - 60296807316205/7070477406592*c_0101_6, c_0101_2 + 12191799866625/14140954813184*c_0101_6^16 - 4580860739535/7070477406592*c_0101_6^14 + 90602510450417/14140954813184*c_0101_6^12 - 11513366613927/7070477406592*c_0101_6^10 + 12199124412113/883809675824*c_0101_6^8 - 146617692577399/7070477406592*c_0101_6^6 - 11455304638423/14140954813184*c_0101_6^4 + 14884243981841/7070477406592*c_0101_6^2 + 5628385079837/14140954813184, c_0101_5 - 944439153825/1767619351648*c_0101_6^16 + 2366490769583/3535238703296*c_0101_6^14 - 14550896172907/3535238703296*c_0101_6^12 + 2695203230567/883809675824*c_0101_6^10 - 15263730754085/1767619351648*c_0101_6^8 + 31098564642831/1767619351648*c_0101_6^6 - 7896544410355/1767619351648*c_0101_6^4 - 6395128007253/3535238703296*c_0101_6^2 - 1801141509455/3535238703296, c_0101_6^18 - 79/75*c_0101_6^16 + 577/75*c_0101_6^14 - 319/75*c_0101_6^12 + 254/15*c_0101_6^10 - 2218/75*c_0101_6^8 + 521/75*c_0101_6^6 + 41/75*c_0101_6^4 + 101/75*c_0101_6^2 - 1/75 ] ] IDEAL=DECOMPOSITION=ENDS=HERE FREE=VARIABLES=IN=COMPONENTS=BEGINS=HERE [ [ ], [ ] ] FREE=VARIABLES=IN=COMPONENTS=ENDS=HERE CPUTIME: 0.230 Total time: 0.440 seconds, Total memory usage: 32.09MB