Magma V2.19-8 Tue Aug 20 2013 16:19:08 on localhost [Seed = 2311591156] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3267 geometric_solution 6.39224519 oriented_manifold CS_known -0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 2 0132 0132 0132 2310 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 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 0 0 0 0 0 0 0.516770635021 0.743037419506 0 4 2 5 0132 0132 1230 0132 0 0 0 0 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 0 0 0 -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 0.472606375804 0.778015736283 0 0 3 1 3201 0132 3012 3012 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 -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 0.421546769802 0.866583390319 5 2 4 0 3201 1230 3201 0132 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 0.472606375804 0.778015736283 3 1 6 6 2310 0132 0132 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.569452821784 1.418683163019 5 5 1 3 1302 2031 0132 2310 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.368327969608 0.837604396744 4 6 6 4 3201 3201 2310 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.670008672878 0.453030793962 ==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' : negation(d['1']), 's_3_5' : d['1'], 's_3_4' : d['1'], 's_2_0' : d['1'], 's_2_1' : negation(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' : negation(d['1']), 's_1_1' : 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' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : d['c_0011_6'], 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : d['c_0011_6'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_3'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : d['c_0101_4'], 'c_0101_6' : d['c_0101_3'], 'c_0101_5' : negation(d['c_0011_5']), 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0101_1']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_5']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], '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' : negation(d['c_0011_0']), 'c_1001_5' : d['c_0101_3'], 'c_1001_4' : d['c_0101_3'], 'c_1001_6' : negation(d['c_0101_3']), 'c_1001_1' : negation(d['c_0101_4']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_4']), 'c_1001_2' : negation(d['c_0011_3']), 'c_0110_1' : negation(d['c_0011_5']), 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0011_5']), 'c_0110_2' : d['c_0011_3'], 'c_0110_5' : negation(d['c_0101_3']), 'c_0110_4' : negation(d['c_0101_3']), 'c_0110_6' : d['c_0101_4'], 'c_1010_6' : d['c_0101_3'], 'c_1010_5' : d['c_0011_5'], 'c_1010_4' : negation(d['c_0101_4']), 'c_1010_3' : negation(d['c_0101_1']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : d['c_0101_3'], '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_0011_5, c_0011_6, c_0101_1, c_0101_3, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 26 Groebner basis: [ t + 20277388667/26997150180*c_0101_1*c_0101_4^12 + 705787961/1799810012*c_0101_1*c_0101_4^11 + 3230191101/642789290*c_0101_1*c_0101_4^10 + 11802766088/2249762515*c_0101_1*c_0101_4^9 + 509954994623/26997150180*c_0101_1*c_0101_4^8 + 52260098987/2454286380*c_0101_1*c_0101_4^7 + 331679140363/6749287545*c_0101_1*c_0101_4^6 + 559117993267/13498575090*c_0101_1*c_0101_4^5 + 175383147536/2249762515*c_0101_1*c_0101_4^4 + 49552501521/1285578580*c_0101_1*c_0101_4^3 + 1584471162299/26997150180*c_0101_1*c_0101_4^2 + 33673078011/2249762515*c_0101_1*c_0101_4 + 561515677027/26997150180*c_0101_1, c_0011_0 - 1, c_0011_3 + 29139/449503*c_0101_1*c_0101_4^12 - 183288/4944533*c_0101_1*c_0101_4^11 + 3454679/9889066*c_0101_1*c_0101_4^10 + 89413/4944533*c_0101_1*c_0101_4^9 + 8761767/9889066*c_0101_1*c_0101_4^8 + 1045785/9889066*c_0101_1*c_0101_4^7 + 7931084/4944533*c_0101_1*c_0101_4^6 - 377579/449503*c_0101_1*c_0101_4^5 + 8721309/4944533*c_0101_1*c_0101_4^4 - 1261509/449503*c_0101_1*c_0101_4^3 + 3225936/4944533*c_0101_1*c_0101_4^2 - 13163211/9889066*c_0101_1*c_0101_4 + 6091189/9889066*c_0101_1, c_0011_5 + 237555/9889066*c_0101_1*c_0101_4^12 + 44633/4944533*c_0101_1*c_0101_4^11 + 57326/449503*c_0101_1*c_0101_4^10 + 577905/4944533*c_0101_1*c_0101_4^9 + 3797951/9889066*c_0101_1*c_0101_4^8 + 1886004/4944533*c_0101_1*c_0101_4^7 + 3786623/4944533*c_0101_1*c_0101_4^6 + 2415331/9889066*c_0101_1*c_0101_4^5 + 7103919/9889066*c_0101_1*c_0101_4^4 - 4334211/9889066*c_0101_1*c_0101_4^3 - 1963906/4944533*c_0101_1*c_0101_4^2 - 4209055/9889066*c_0101_1*c_0101_4 - 284503/4944533*c_0101_1, c_0011_6 - 105249/4944533*c_0101_4^12 - 164628/4944533*c_0101_4^11 - 566586/4944533*c_0101_4^10 - 929144/4944533*c_0101_4^9 - 2232603/4944533*c_0101_4^8 - 2319076/4944533*c_0101_4^7 - 4326116/4944533*c_0101_4^6 - 2592408/4944533*c_0101_4^5 - 2968279/4944533*c_0101_4^4 + 2687012/4944533*c_0101_4^3 + 3953495/4944533*c_0101_4^2 + 408972/449503*c_0101_4 - 637433/4944533, c_0101_1^2 + 732014/13035587*c_0101_4^12 - 11402216/143391457*c_0101_4^11 + 36954288/143391457*c_0101_4^10 - 19068193/143391457*c_0101_4^9 + 62742496/143391457*c_0101_4^8 - 63468137/143391457*c_0101_4^7 + 145391975/143391457*c_0101_4^6 - 21971625/13035587*c_0101_4^5 + 181296396/143391457*c_0101_4^4 - 23236089/13035587*c_0101_4^3 + 246611594/143391457*c_0101_4^2 - 201202359/143391457*c_0101_4 - 33655331/143391457, c_0101_3 + 275896/4944533*c_0101_4^12 - 101209/4944533*c_0101_4^11 + 1505767/4944533*c_0101_4^10 + 447210/4944533*c_0101_4^9 + 3801432/4944533*c_0101_4^8 + 1606147/4944533*c_0101_4^7 + 7554861/4944533*c_0101_4^6 - 1647676/4944533*c_0101_4^5 + 7681422/4944533*c_0101_4^4 - 9299588/4944533*c_0101_4^3 + 698141/4944533*c_0101_4^2 - 4990550/4944533*c_0101_4 + 1263932/4944533, c_0101_4^13 + 6*c_0101_4^11 + 3*c_0101_4^10 + 19*c_0101_4^9 + 11*c_0101_4^8 + 41*c_0101_4^7 + 7*c_0101_4^6 + 51*c_0101_4^5 - 27*c_0101_4^4 + 22*c_0101_4^3 - 39*c_0101_4^2 + 11*c_0101_4 - 15 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB