Magma V2.19-8 Tue Aug 20 2013 18:13:27 on localhost [Seed = 2345284570] Type ? for help. Type -D to quit. Loading file "10^3_47__sl2_c7.magma" ==TRIANGULATION=BEGINS== % Triangulation 10^3_47 geometric_solution 13.95586699 oriented_manifold CS_known 0.0000000000000002 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 15 1 2 3 4 0132 0132 0132 0132 2 2 1 1 0 0 0 0 1 0 0 -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 1 -1 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 0.619040866530 0.926812298229 0 5 6 6 0132 0132 0213 0132 2 2 1 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 -1 1 0 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 0.399807926555 0.744735383193 7 0 8 8 0132 0132 2103 0132 2 0 1 1 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 0 0 -1 0 1 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 0.498843212181 0.936959344260 9 10 11 0 0132 0132 0132 0132 2 2 1 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 0 0 0 1 0 -1 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 0.409512457017 1.740572830248 7 7 0 8 3012 0213 0132 0213 2 2 0 1 0 0 0 0 -1 0 1 0 -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 -1 1 0 0 0 0 0 2 -1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.498843212181 0.936959344260 12 1 13 13 0132 0132 0132 0321 2 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.788201621745 0.653799682262 14 1 1 9 0132 0213 0132 0213 2 2 2 1 0 0 0 0 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 -1 0 1 1 0 0 -1 1 0 0 -1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.656047056472 0.814041833624 2 14 4 4 0132 3120 0213 1230 2 0 1 1 0 -1 0 1 0 0 -1 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 -1 1 0 1 0 1 -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 0.498843212181 0.936959344260 2 11 2 4 2103 0213 0132 0213 2 0 2 1 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 -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 0.557267533231 0.831568540208 3 13 12 6 0132 3012 1023 0213 2 2 2 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 0 0 0 0 0 0 0 1 0 -1 0 0 -1 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 0.463551348483 0.313699659920 12 3 11 13 3012 0132 0213 0132 2 2 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 -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 0.669794643549 0.968467840317 14 10 8 3 2310 0213 0213 0132 2 2 2 1 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.100495068564 0.433852849723 5 14 9 10 0132 1302 1023 1230 2 2 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 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 1.153323391849 0.475945275728 9 5 10 5 1230 0321 0132 0132 2 2 1 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 0 0 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 0.248412576671 0.623428834714 6 7 11 12 0132 3120 3201 2031 1 2 1 2 0 0 0 0 -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 0 0 -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 0.240248781032 1.123473272424 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_14' : negation(d['c_0011_8']), 'c_1001_11' : d['c_1001_0'], 'c_1001_10' : d['c_1001_0'], 'c_1001_13' : d['c_1001_13'], 'c_1001_12' : d['c_0101_0'], 'c_1001_5' : d['c_1001_1'], 'c_1001_4' : d['c_0011_8'], 'c_1001_7' : d['c_0011_8'], 'c_1001_6' : d['c_1001_1'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_13'], 'c_1001_2' : d['c_0011_8'], 'c_1001_9' : negation(d['c_0011_13']), 'c_1001_8' : d['c_1001_0'], 'c_1010_13' : d['c_1001_1'], 'c_1010_12' : d['c_0011_11'], 'c_1010_11' : d['c_1001_13'], 'c_1010_10' : d['c_1001_13'], 'c_1010_14' : negation(d['c_0011_0']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_0_13' : d['1'], 's_0_14' : negation(d['1']), 's_3_14' : negation(d['1']), 's_2_8' : d['1'], 's_2_9' : negation(d['1']), 'c_0101_11' : d['c_0011_8'], 'c_0101_10' : d['c_0011_11'], 'c_0101_14' : d['c_0101_14'], 's_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : negation(d['1']), 's_2_3' : negation(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_13' : d['1'], 's_2_10' : d['1'], 's_2_11' : negation(d['1']), 's_2_14' : d['1'], 's_0_9' : negation(d['1']), 's_0_6' : negation(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_14' : d['c_0011_14'], 'c_0011_11' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_0011_13' : d['c_0011_13'], 'c_0011_12' : negation(d['c_0011_0']), 'c_1100_5' : d['c_1001_13'], 'c_1100_4' : d['c_1010_8'], 'c_1100_7' : d['c_0110_4'], 'c_1100_6' : negation(d['c_0101_13']), 'c_1100_1' : negation(d['c_0101_13']), 'c_1100_0' : d['c_1010_8'], 'c_1100_3' : d['c_1010_8'], 'c_1100_2' : d['c_0110_4'], 'c_1100_14' : negation(d['c_0011_11']), 's_3_11' : negation(d['1']), 'c_1100_11' : d['c_1010_8'], 'c_1100_10' : d['c_1001_13'], 'c_1100_13' : d['c_1001_13'], 's_0_11' : d['1'], 's_3_13' : d['1'], 'c_1010_7' : negation(d['c_0011_14']), 'c_1010_6' : negation(d['c_0101_13']), 'c_1010_5' : d['c_1001_1'], 's_3_12' : d['1'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_1'], 'c_1010_0' : d['c_0011_8'], 'c_1010_9' : negation(d['c_0101_13']), 'c_1010_8' : d['c_1010_8'], 'c_1100_8' : d['c_0110_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'], 'c_1100_12' : d['c_0101_13'], 's_1_7' : d['1'], 's_1_6' : negation(d['1']), 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : negation(d['1']), 'c_0011_9' : d['c_0011_10'], '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_0'], 'c_0011_6' : negation(d['c_0011_14']), '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' : negation(d['c_0101_14']), 'c_0110_10' : d['c_0101_13'], 'c_0110_13' : d['c_0011_10'], 'c_0110_12' : d['c_0011_10'], 'c_0110_14' : d['c_0101_0'], 'c_1010_4' : d['c_0110_4'], 'c_0101_12' : negation(d['c_0011_13']), 'c_0110_0' : negation(d['c_0011_14']), 's_0_8' : negation(d['1']), 'c_0101_7' : d['c_0011_4'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0011_10'], 'c_0101_4' : negation(d['c_0011_14']), 'c_0101_3' : negation(d['c_0101_14']), 'c_0101_2' : d['c_0011_4'], 'c_0101_1' : negation(d['c_0011_14']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_0'], 'c_0101_8' : d['c_0011_4'], 's_1_14' : d['1'], 's_1_13' : d['1'], 's_1_12' : negation(d['1']), 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0101_14']), 'c_0110_8' : negation(d['c_0110_4']), 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_0101_13']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0011_4'], 'c_0110_5' : negation(d['c_0011_13']), 'c_0110_4' : d['c_0110_4'], 'c_0110_7' : d['c_0011_4'], 'c_0110_6' : d['c_0101_14'], 'c_0101_13' : d['c_0101_13']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 16 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_13, c_0011_14, c_0011_4, c_0011_8, c_0101_0, c_0101_13, c_0101_14, c_0110_4, c_1001_0, c_1001_1, c_1001_13, c_1010_8 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t + 3608349883642384060578635548920030831/33015376447005760977355664237\ 98*c_1010_8^8 + 19919846287481013440156977028484231843/165076882235\ 0288048867783211899*c_1010_8^7 - 1643528817418887133368277966364068\ 10429/3301537644700576097735566423798*c_1010_8^6 + 1721418024263143112657574337522887922954/16507688223502880488677832\ 11899*c_1010_8^5 + 32890303108099907605396598837466503752657/165076\ 8822350288048867783211899*c_1010_8^4 + 3253428881322263060124684760895583828271/33015376447005760977355664\ 23798*c_1010_8^3 - 32033702060646936081696328487856645361/165076882\ 2350288048867783211899*c_1010_8^2 - 4391655040259560848509234351196484509143/33015376447005760977355664\ 23798*c_1010_8 + 54606826405115196849561299592615464063/33015376447\ 00576097735566423798, c_0011_0 - 1, c_0011_10 + 5299656791206814561/90752799374617929683*c_1010_8^8 + 58525887936956978550/90752799374617929683*c_1010_8^7 - 241276309829676667614/90752799374617929683*c_1010_8^6 + 5055709470640524306109/90752799374617929683*c_1010_8^5 + 96626520518895385482856/90752799374617929683*c_1010_8^4 + 4981373106619296310566/90752799374617929683*c_1010_8^3 - 555344327538636782894/90752799374617929683*c_1010_8^2 - 6374152819622416866132/90752799374617929683*c_1010_8 + 186394475859111055250/90752799374617929683, c_0011_11 + 925828804364203683/90752799374617929683*c_1010_8^8 + 10246911648979896470/90752799374617929683*c_1010_8^7 - 41888076580192981689/90752799374617929683*c_1010_8^6 + 882309135485422947222/90752799374617929683*c_1010_8^5 + 16901366460480790709338/90752799374617929683*c_1010_8^4 + 1294344006971005646322/90752799374617929683*c_1010_8^3 + 136407385319126182308/90752799374617929683*c_1010_8^2 - 1114470990969153105046/90752799374617929683*c_1010_8 + 95045442885117230198/90752799374617929683, c_0011_13 - 6320259523070259663/90752799374617929683*c_1010_8^8 - 69722556124979932710/90752799374617929683*c_1010_8^7 + 288550721862609425845/90752799374617929683*c_1010_8^6 - 6032816836258096540244/90752799374617929683*c_1010_8^5 - 115163515655238161350069/90752799374617929683*c_1010_8^4 - 4597302686976009159164/90752799374617929683*c_1010_8^3 + 554689142643625873960/90752799374617929683*c_1010_8^2 + 7610546758929901213265/90752799374617929683*c_1010_8 - 237228949640195985526/90752799374617929683, c_0011_14 - 540523687115897379/90752799374617929683*c_1010_8^8 - 5992184099571187153/90752799374617929683*c_1010_8^7 + 24340701325825519736/90752799374617929683*c_1010_8^6 - 514739768875587257314/90752799374617929683*c_1010_8^5 - 9876411820458315408548/90752799374617929683*c_1010_8^4 - 940875068375804679606/90752799374617929683*c_1010_8^3 - 207192882647186865102/90752799374617929683*c_1010_8^2 + 733452889008355661024/90752799374617929683*c_1010_8 - 87738909915314417196/90752799374617929683, c_0011_4 - 1, c_0011_8 + 790136623797240912/90752799374617929683*c_1010_8^8 + 8756734728764656024/90752799374617929683*c_1010_8^7 - 35595730386502737440/90752799374617929683*c_1010_8^6 + 752725373591355024308/90752799374617929683*c_1010_8^5 + 14434165866900970987996/90752799374617929683*c_1010_8^4 + 1341036098740391751892/90752799374617929683*c_1010_8^3 + 564166460682343031236/90752799374617929683*c_1010_8^2 - 1026346213191963997422/90752799374617929683*c_1010_8 + 80240182366477905868/90752799374617929683, c_0101_0 - 1, c_0101_13 - 396581632308615454/90752799374617929683*c_1010_8^8 - 4396280875183594006/90752799374617929683*c_1010_8^7 + 17874266877364640826/90752799374617929683*c_1010_8^6 - 377519914073911572487/90752799374617929683*c_1010_8^5 - 7246834225301746642897/90752799374617929683*c_1010_8^4 - 674462033199597535662/90752799374617929683*c_1010_8^3 + 100962910876758884100/90752799374617929683*c_1010_8^2 + 481706132271303144908/90752799374617929683*c_1010_8 - 14587588572951375536/90752799374617929683, c_0101_14 + 290910750434553846/90752799374617929683*c_1010_8^8 + 3227633470377718282/90752799374617929683*c_1010_8^7 - 13085672265148302032/90752799374617929683*c_1010_8^6 + 276754164159819490320/90752799374617929683*c_1010_8^5 + 5318657774015659829100/90752799374617929683*c_1010_8^4 + 540714038011217607320/90752799374617929683*c_1010_8^3 - 149780695387969301032/90752799374617929683*c_1010_8^2 - 349806765450129394943/90752799374617929683*c_1010_8 + 4484838089532998841/90752799374617929683, c_0110_4 - 697609149/253632620099*c_1010_8^8 - 7726265463/253632620099*c_1010_8^7 + 31455145512/253632620099*c_1010_8^6 - 665113504882/253632620099*c_1010_8^5 - 12737845097144/253632620099*c_1010_8^4 - 1118355480958/253632620099*c_1010_8^3 - 997656761302/253632620099*c_1010_8^2 + 818567600494/253632620099*c_1010_8 + 20957170784/253632620099, c_1001_0 - 540523687115897379/90752799374617929683*c_1010_8^8 - 5992184099571187153/90752799374617929683*c_1010_8^7 + 24340701325825519736/90752799374617929683*c_1010_8^6 - 514739768875587257314/90752799374617929683*c_1010_8^5 - 9876411820458315408548/90752799374617929683*c_1010_8^4 - 940875068375804679606/90752799374617929683*c_1010_8^3 - 207192882647186865102/90752799374617929683*c_1010_8^2 + 733452889008355661024/90752799374617929683*c_1010_8 - 87738909915314417196/90752799374617929683, c_1001_1 + 1490929121773656685/90752799374617929683*c_1010_8^8 + 16418295324030480591/90752799374617929683*c_1010_8^7 - 68379637575402874483/90752799374617929683*c_1010_8^6 + 1424534386347569457474/90752799374617929683*c_1010_8^5 + 27138497153163460816696/90752799374617929683*c_1010_8^4 + 564449903574642991785/90752799374617929683*c_1010_8^3 - 3058346644233246370/90752799374617929683*c_1010_8^2 - 1961170044546159160142/90752799374617929683*c_1010_8 + 52303124341939723984/90752799374617929683, c_1001_13 + 385305117248306304/90752799374617929683*c_1010_8^8 + 4254727549408709317/90752799374617929683*c_1010_8^7 - 17547375254367461953/90752799374617929683*c_1010_8^6 + 367569366609835689908/90752799374617929683*c_1010_8^5 + 7024954640022475300790/90752799374617929683*c_1010_8^4 + 353468938595200966716/90752799374617929683*c_1010_8^3 - 70785497328060682794/90752799374617929683*c_1010_8^2 - 381018101960797444022/90752799374617929683*c_1010_8 + 7306532969802813002/90752799374617929683, c_1010_8^9 + 11*c_1010_8^8 - 46*c_1010_8^7 + 956*c_1010_8^6 + 18191*c_1010_8^5 + 155*c_1010_8^4 - 49*c_1010_8^3 - 1216*c_1010_8^2 + 65*c_1010_8 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.260 Total time: 0.470 seconds, Total memory usage: 32.09MB