Magma V2.19-8 Tue Aug 20 2013 16:17:47 on localhost [Seed = 896838096] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2023 geometric_solution 5.56570640 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 2 0132 0132 0132 1023 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 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 0.684484107300 0.634309628195 0 3 4 2 0132 3201 0132 2310 0 0 0 0 0 0 -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 -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 0.616764459593 0.297388756167 1 0 4 0 3201 0132 1023 1023 0 0 0 0 0 0 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 0 0 0 0 0 -1 1 0 -1 0 0 1 -1 1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.684484107300 0.634309628195 5 4 1 0 0132 1023 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.611483731881 1.561557068591 3 5 2 1 1023 2310 1023 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 0 0 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 0.611483731881 1.561557068591 3 6 6 4 0132 0132 1023 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.075288224174 0.251115813849 6 5 5 6 3012 0132 1023 1230 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2.334087226964 1.369397380351 ==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' : negation(d['1']), 's_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : negation(d['1']), 's_2_3' : d['1'], 's_2_4' : negation(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_3'], 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : negation(d['c_0011_0']), 's_3_6' : d['1'], 'c_1100_1' : negation(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_0'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(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_3']), 'c_0011_4' : d['c_0011_3'], 'c_0011_6' : 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' : d['c_0101_6'], 'c_1001_4' : negation(d['c_0101_0']), 'c_1001_6' : d['c_0101_0'], 'c_1001_1' : negation(d['c_0101_3']), 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : d['c_0101_4'], 'c_1001_2' : d['c_0101_4'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_4'], 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : d['c_0101_1'], 'c_0110_6' : d['c_0011_3'], 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : d['c_0101_0'], 'c_1010_4' : negation(d['c_0101_3']), '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' : d['c_0101_4']})} 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_3, c_0101_4, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 523/13*c_0101_6^2 + 135*c_0101_6 - 1468/13, c_0011_0 - 1, c_0011_3 + c_0101_6^2 + 3*c_0101_6 - 1, c_0101_0 - c_0101_6^2 - 4*c_0101_6 + 2, c_0101_1 + c_0101_4 + c_0101_6^2 + 4*c_0101_6 - 2, c_0101_3 + c_0101_6^2 + 4*c_0101_6 - 2, c_0101_4^2 + c_0101_4*c_0101_6^2 + 4*c_0101_4*c_0101_6 - 2*c_0101_4 + c_0101_6^2 + 3*c_0101_6, c_0101_6^3 + 3*c_0101_6^2 - 4*c_0101_6 + 1 ], 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_3, c_0101_4, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t + 8941845931075679/131238771872400*c_0101_6^11 - 4446599141571501/29164171527200*c_0101_6^10 - 29813361982200817/131238771872400*c_0101_6^9 + 34883926118748887/69994011665280*c_0101_6^8 + 1012722217811858783/1049910174979200*c_0101_6^7 - 412784881885078849/1049910174979200*c_0101_6^6 - 184354302001712/911380360225*c_0101_6^5 + 29899320563605631/131238771872400*c_0101_6^4 + 43779700805888621/69994011665280*c_0101_6^3 - 63180662676110747/1049910174979200*c_0101_6^2 - 124210944989569369/524955087489600*c_0101_6 + 144355964383463597/1049910174979200, c_0011_0 - 1, c_0011_3 + 52802918512/53610609425*c_0101_6^11 - 105100149056/53610609425*c_0101_6^10 - 200706923316/53610609425*c_0101_6^9 + 66123063246/10722121885*c_0101_6^8 + 829271364153/53610609425*c_0101_6^7 - 73685052904/53610609425*c_0101_6^6 - 178918639094/53610609425*c_0101_6^5 + 76984016718/53610609425*c_0101_6^4 + 102325005924/10722121885*c_0101_6^3 + 74875241878/53610609425*c_0101_6^2 - 199209558298/53610609425*c_0101_6 + 57936473582/53610609425, c_0101_0 - 218590331008/53610609425*c_0101_6^11 + 476436302224/53610609425*c_0101_6^10 + 754723030904/53610609425*c_0101_6^9 - 308117011984/10722121885*c_0101_6^8 - 3200402337302/53610609425*c_0101_6^7 + 1027427860216/53610609425*c_0101_6^6 + 747924677161/53610609425*c_0101_6^5 - 531197192312/53610609425*c_0101_6^4 - 81654691416/2144424377*c_0101_6^3 + 64985860528/53610609425*c_0101_6^2 + 736756774467/53610609425*c_0101_6 - 358428875858/53610609425, c_0101_1 + 203508317456/10722121885*c_0101_6^11 - 456272126552/10722121885*c_0101_6^10 - 135527166816/2144424377*c_0101_6^9 + 298679698014/2144424377*c_0101_6^8 + 2878661387834/10722121885*c_0101_6^7 - 1190808806668/10722121885*c_0101_6^6 - 123283311526/2144424377*c_0101_6^5 + 675419309109/10722121885*c_0101_6^4 + 1864444703884/10722121885*c_0101_6^3 - 177125538607/10722121885*c_0101_6^2 - 713329500076/10722121885*c_0101_6 + 81750760721/2144424377, c_0101_3 - 641763545856/53610609425*c_0101_6^11 + 1446378907968/53610609425*c_0101_6^10 + 2125789351528/53610609425*c_0101_6^9 - 946279887668/10722121885*c_0101_6^8 - 9072733717164/53610609425*c_0101_6^7 + 3843431117687/53610609425*c_0101_6^6 + 2072510867252/53610609425*c_0101_6^5 - 1933609507584/53610609425*c_0101_6^4 - 235004393320/2144424377*c_0101_6^3 + 642265901721/53610609425*c_0101_6^2 + 2315130896319/53610609425*c_0101_6 - 1241645828556/53610609425, c_0101_4 + 203508317456/10722121885*c_0101_6^11 - 456272126552/10722121885*c_0101_6^10 - 135527166816/2144424377*c_0101_6^9 + 298679698014/2144424377*c_0101_6^8 + 2878661387834/10722121885*c_0101_6^7 - 1190808806668/10722121885*c_0101_6^6 - 123283311526/2144424377*c_0101_6^5 + 675419309109/10722121885*c_0101_6^4 + 1864444703884/10722121885*c_0101_6^3 - 177125538607/10722121885*c_0101_6^2 - 713329500076/10722121885*c_0101_6 + 81750760721/2144424377, c_0101_6^12 - 3/2*c_0101_6^11 - 5*c_0101_6^10 + 39/8*c_0101_6^9 + 157/8*c_0101_6^8 + 37/8*c_0101_6^7 - 15/2*c_0101_6^6 + c_0101_6^5 + 93/8*c_0101_6^4 + 47/8*c_0101_6^3 - 17/4*c_0101_6^2 - 5/8*c_0101_6 + 3/2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.220 seconds, Total memory usage: 32.09MB