Magma V2.19-8 Tue Aug 20 2013 16:17:58 on localhost [Seed = 3667609116] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2196 geometric_solution 5.65214954 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 0 0 1 0132 3201 2310 3201 0 0 0 0 0 -1 1 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 1 -1 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 -0.834707799337 0.346692246150 0 0 3 2 0132 2310 0132 0132 0 0 0 0 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 -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 0.863889443453 0.867233641014 4 5 1 4 0132 0132 0132 0321 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.184845478483 0.520168836401 5 4 5 1 3201 2310 3120 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 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 0.718181379496 0.424507211905 2 2 6 3 0132 0321 0132 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 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 0.599405217003 0.991781370405 6 2 3 3 2103 0132 3120 2310 0 0 0 0 0 0 0 0 0 0 0 0 -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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.517054088858 0.504627539753 6 6 5 4 1302 2031 2103 0132 0 0 0 0 0 -1 1 0 0 0 0 0 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 -1 0 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 0.125866822006 0.743982292090 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : negation(d['1']), '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_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' : 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' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : negation(d['c_0011_3']), 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : negation(d['c_0011_3']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_6'], 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_0011_6'], 'c_1100_2' : d['c_0011_6'], 'c_0101_6' : negation(d['c_0011_6']), 'c_0101_5' : negation(d['c_0011_6']), 'c_0101_4' : d['c_0011_2'], 'c_0101_3' : negation(d['c_0011_3']), 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_2']), 'c_0011_4' : negation(d['c_0011_2']), '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' : d['c_0011_3'], 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : negation(d['c_1001_3']), 'c_1001_4' : d['c_0011_6'], 'c_1001_6' : negation(d['c_0011_2']), 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : negation(d['c_0101_0']), 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : negation(d['c_0101_1']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0011_2'], 'c_0110_5' : d['c_0011_3'], 'c_0110_4' : d['c_0101_0'], 'c_0110_6' : d['c_0011_2'], 'c_1010_6' : d['c_0011_6'], 'c_1010_5' : negation(d['c_0101_1']), 'c_1010_4' : negation(d['c_1001_3']), 'c_1010_3' : negation(d['c_0101_0']), 'c_1010_2' : negation(d['c_1001_3']), 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : d['c_0101_0']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_2, c_0011_3, c_0011_6, c_0101_0, c_0101_1, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t - 762001494774565/624472102634112*c_1001_3^15 + 249920953374029/69385789181568*c_1001_3^14 + 10767432479321317/624472102634112*c_1001_3^13 - 3563519917858891/104078683772352*c_1001_3^12 + 14570909987701231/208157367544704*c_1001_3^11 - 14787971423737483/156118025658528*c_1001_3^10 - 223032382823803379/624472102634112*c_1001_3^9 + 1612189562666869/4336611823848*c_1001_3^8 - 87811186269800165/208157367544704*c_1001_3^7 + 114356175636355933/208157367544704*c_1001_3^6 + 61217146104987053/52039341886176*c_1001_3^5 - 25212862369789727/69385789181568*c_1001_3^4 + 751630493194025/1515708986976*c_1001_3^3 - 6452409407598017/26019670943088*c_1001_3^2 - 1263880058944757/52039341886176*c_1001_3 + 10305571969284313/624472102634112, c_0011_0 - 1, c_0011_2 - 14905150558748/4878688301829*c_1001_3^15 - 3828167064442/542076477981*c_1001_3^14 + 48747261383087/4878688301829*c_1001_3^13 - 29789705454331/1626229433943*c_1001_3^12 + 125074223443025/1626229433943*c_1001_3^11 + 816066155778466/4878688301829*c_1001_3^10 - 382233557587150/4878688301829*c_1001_3^9 + 254956129776617/1626229433943*c_1001_3^8 - 217776843734429/542076477981*c_1001_3^7 - 1063398809045324/1626229433943*c_1001_3^6 - 354977466382435/1626229433943*c_1001_3^5 - 785672691955192/1626229433943*c_1001_3^4 + 1407234833701/47365905843*c_1001_3^3 - 31333434083882/542076477981*c_1001_3^2 + 34956731553596/1626229433943*c_1001_3 + 38527311629174/4878688301829, c_0011_3 - 4702456886969/1626229433943*c_1001_3^15 - 11177992658512/1626229433943*c_1001_3^14 + 14586364413139/1626229433943*c_1001_3^13 - 9140703152201/542076477981*c_1001_3^12 + 38908501125893/542076477981*c_1001_3^11 + 264987130251595/1626229433943*c_1001_3^10 - 102134561127812/1626229433943*c_1001_3^9 + 79755998033434/542076477981*c_1001_3^8 - 67005390117349/180692159327*c_1001_3^7 - 348767195923967/542076477981*c_1001_3^6 - 136234233433796/542076477981*c_1001_3^5 - 263466489492271/542076477981*c_1001_3^4 - 130689710651/15788635281*c_1001_3^3 - 93158390722201/1626229433943*c_1001_3^2 + 23249855492699/1626229433943*c_1001_3 + 15072203411251/1626229433943, c_0011_6 + 1100951439260/4878688301829*c_1001_3^15 + 985366145282/1626229433943*c_1001_3^14 - 2758265436965/4878688301829*c_1001_3^13 + 1641496640104/1626229433943*c_1001_3^12 - 8377488278180/1626229433943*c_1001_3^11 - 71077434422371/4878688301829*c_1001_3^10 + 8204483959444/4878688301829*c_1001_3^9 - 12822698420654/1626229433943*c_1001_3^8 + 14075382820451/542076477981*c_1001_3^7 + 98217596556017/1626229433943*c_1001_3^6 + 50996237348425/1626229433943*c_1001_3^5 + 57980169675391/1626229433943*c_1001_3^4 + 223275684815/47365905843*c_1001_3^3 - 2829300994582/1626229433943*c_1001_3^2 - 232753955350/180692159327*c_1001_3 - 9776163021728/4878688301829, c_0101_0 + 3997864906264/4878688301829*c_1001_3^15 + 355477644128/180692159327*c_1001_3^14 - 12475561896400/4878688301829*c_1001_3^13 + 7437358483793/1626229433943*c_1001_3^12 - 32575688916325/1626229433943*c_1001_3^11 - 229391476726739/4878688301829*c_1001_3^10 + 88915144169213/4878688301829*c_1001_3^9 - 61468659260752/1626229433943*c_1001_3^8 + 55618371413335/542076477981*c_1001_3^7 + 305657739003625/1626229433943*c_1001_3^6 + 110200310681756/1626229433943*c_1001_3^5 + 204043678248374/1626229433943*c_1001_3^4 + 48122911483/47365905843*c_1001_3^3 + 3382923882653/542076477981*c_1001_3^2 - 6235522413508/1626229433943*c_1001_3 - 17881511329543/4878688301829, c_0101_1 + 4643202462482/4878688301829*c_1001_3^15 + 1208148983545/542076477981*c_1001_3^14 - 14966937548243/4878688301829*c_1001_3^13 + 9072131585707/1626229433943*c_1001_3^12 - 38508026505770/1626229433943*c_1001_3^11 - 258687916439014/4878688301829*c_1001_3^10 + 114535493636281/4878688301829*c_1001_3^9 - 77021846175365/1626229433943*c_1001_3^8 + 66300025545980/542076477981*c_1001_3^7 + 340072315823687/1626229433943*c_1001_3^6 + 114940916811532/1626229433943*c_1001_3^5 + 244819565031643/1626229433943*c_1001_3^4 - 156331110874/47365905843*c_1001_3^3 + 8221290227132/542076477981*c_1001_3^2 - 7874053690142/1626229433943*c_1001_3 - 19783838860577/4878688301829, c_1001_3^16 + 2*c_1001_3^15 - 4*c_1001_3^14 + 7*c_1001_3^13 - 27*c_1001_3^12 - 47*c_1001_3^11 + 43*c_1001_3^10 - 59*c_1001_3^9 + 147*c_1001_3^8 + 174*c_1001_3^7 + 3*c_1001_3^6 + 135*c_1001_3^5 - 59*c_1001_3^4 + 20*c_1001_3^3 - 12*c_1001_3^2 - c_1001_3 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB