Magma V2.19-8 Tue Aug 20 2013 16:16:24 on localhost [Seed = 273779964] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0688 geometric_solution 4.65259755 oriented_manifold CS_known 0.0000000000000007 1 0 torus 0.000000000000 0.000000000000 7 1 2 1 3 0132 0132 1023 0132 0 0 0 0 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 0 0 0 0 1 0 -1 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 0.190444286235 1.609379094949 0 4 0 4 0132 0132 1023 1023 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 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 0.611926170161 0.168147375469 5 0 3 5 0132 0132 3012 1023 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.461619845416 0.692657767509 6 2 0 6 0132 1230 0132 1023 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 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 0.461619845416 0.692657767509 4 1 4 1 2310 0132 3201 1023 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.761077600103 0.060837782429 2 6 6 2 0132 3201 2310 1023 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.433115501542 0.535677018940 3 5 5 3 0132 3201 2310 1023 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 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 1.433115501542 0.535677018940 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { '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_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' : 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' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : d['c_0011_0'], 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : negation(d['c_0011_0']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : d['c_0011_3'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_1'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_0'], 'c_0011_6' : negation(d['c_0011_3']), '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' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0101_6']), 'c_1001_4' : negation(d['c_0101_4']), 'c_1001_6' : negation(d['c_0101_5']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : negation(d['c_0011_3']), 'c_1001_2' : negation(d['c_0011_3']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_6'], 'c_0110_2' : d['c_0101_5'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : negation(d['c_0101_4']), 'c_0110_6' : d['c_0101_1'], 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : d['c_0101_0'], 'c_1010_3' : d['c_0101_1'], 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : negation(d['c_0101_4']), 'c_1010_0' : negation(d['c_0011_3'])})} 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_3, c_0101_0, c_0101_1, c_0101_4, c_0101_5, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t - 1402591255324/20984762037*c_0101_6^15 - 2012307143408/20984762037*c_0101_6^14 + 6916063098224/20984762037*c_0101_6^13 + 24106502688482/20984762037*c_0101_6^12 + 10767002455267/20984762037*c_0101_6^11 - 13282823568019/6994920679*c_0101_6^10 - 25387659751262/6994920679*c_0101_6^9 - 8237351571350/6994920679*c_0101_6^8 + 60076962135872/20984762037*c_0101_6^7 + 81119046073273/20984762037*c_0101_6^6 + 26041674173422/20984762037*c_0101_6^5 - 10145172265538/6994920679*c_0101_6^4 - 8547616798285/6994920679*c_0101_6^3 - 8253866731535/20984762037*c_0101_6^2 + 1038213895195/20984762037*c_0101_6 + 1988712317204/20984762037, c_0011_0 - 1, c_0011_3 - 813099944/6994920679*c_0101_6^15 - 1468201598/6994920679*c_0101_6^14 + 3457978752/6994920679*c_0101_6^13 + 14240149487/6994920679*c_0101_6^12 + 10768007129/6994920679*c_0101_6^11 - 13711647489/6994920679*c_0101_6^10 - 36655386320/6994920679*c_0101_6^9 - 28488640117/6994920679*c_0101_6^8 + 4835894653/6994920679*c_0101_6^7 + 22207896026/6994920679*c_0101_6^6 + 15683472551/6994920679*c_0101_6^5 + 624872438/6994920679*c_0101_6^4 + 5487007323/6994920679*c_0101_6^3 + 16731856822/6994920679*c_0101_6^2 - 113406871/6994920679*c_0101_6 + 211424143/6994920679, c_0101_0 - 7918743268/6994920679*c_0101_6^15 - 12649698322/6994920679*c_0101_6^14 + 39441015750/6994920679*c_0101_6^13 + 145843132933/6994920679*c_0101_6^12 + 72755790109/6994920679*c_0101_6^11 - 253256270206/6994920679*c_0101_6^10 - 489356968387/6994920679*c_0101_6^9 - 158331973462/6994920679*c_0101_6^8 + 433681714838/6994920679*c_0101_6^7 + 570927981971/6994920679*c_0101_6^6 + 155975131705/6994920679*c_0101_6^5 - 259479482786/6994920679*c_0101_6^4 - 222488860139/6994920679*c_0101_6^3 - 37636211717/6994920679*c_0101_6^2 + 23218489106/6994920679*c_0101_6 + 17678567057/6994920679, c_0101_1 + 422848286/6994920679*c_0101_6^15 + 1235948230/6994920679*c_0101_6^14 - 857463975/6994920679*c_0101_6^13 - 9800703042/6994920679*c_0101_6^12 - 14451573630/6994920679*c_0101_6^11 + 2340289737/6994920679*c_0101_6^10 + 31471275501/6994920679*c_0101_6^9 + 34752569033/6994920679*c_0101_6^8 + 7980498246/6994920679*c_0101_6^7 - 21538401950/6994920679*c_0101_6^6 - 20305078739/6994920679*c_0101_6^5 - 3843720543/6994920679*c_0101_6^4 + 3180762136/6994920679*c_0101_6^3 - 5909855609/6994920679*c_0101_6^2 - 11005481001/6994920679*c_0101_6 - 309441415/6994920679, c_0101_4 - 32571200380/6994920679*c_0101_6^15 - 45399448582/6994920679*c_0101_6^14 + 161648763260/6994920679*c_0101_6^13 + 553739964199/6994920679*c_0101_6^12 + 232014621994/6994920679*c_0101_6^11 - 931251092169/6994920679*c_0101_6^10 - 1744340985282/6994920679*c_0101_6^9 - 511339976367/6994920679*c_0101_6^8 + 1425738890407/6994920679*c_0101_6^7 + 1857028733373/6994920679*c_0101_6^6 + 518982621947/6994920679*c_0101_6^5 - 759369389159/6994920679*c_0101_6^4 - 585612516250/6994920679*c_0101_6^3 - 155133001039/6994920679*c_0101_6^2 + 50877319778/6994920679*c_0101_6 + 42149966948/6994920679, c_0101_5 - c_0101_6, c_0101_6^16 + c_0101_6^15 - 11/2*c_0101_6^14 - 15*c_0101_6^13 - 1/2*c_0101_6^12 + 31*c_0101_6^11 + 42*c_0101_6^10 - 9/2*c_0101_6^9 - 97/2*c_0101_6^8 - 79/2*c_0101_6^7 + 9/2*c_0101_6^6 + 28*c_0101_6^5 + 9*c_0101_6^4 - c_0101_6^3 - 3*c_0101_6^2 - c_0101_6 + 1/2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB