Magma V2.19-8 Tue Aug 20 2013 16:17:09 on localhost [Seed = 4139215394] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1399 geometric_solution 5.24534071 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 0 2 0 0132 1302 0132 2031 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 1 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 0 -1 0 1 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.016652463820 1.071618475981 0 3 4 2 0132 0132 0132 1230 0 0 0 0 0 0 0 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 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 0.938173735493 0.969971840500 1 4 3 0 3012 0132 3201 0132 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 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.938173735493 0.969971840500 2 1 3 3 2310 0132 2031 1302 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.513376105074 0.468965952484 5 2 5 1 0132 0132 1023 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.551787138520 0.565024161047 4 6 4 6 0132 0132 1023 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 0.708029826104 0.336930286951 6 5 6 5 2031 0132 1302 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 0.604143637581 0.104250396621 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : negation(d['1']), 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : d['1'], 's_2_0' : negation(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' : negation(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_2'], 'c_1100_5' : negation(d['c_0011_2']), 'c_1100_4' : d['c_0011_2'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_2'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : d['c_0101_3'], 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_6' : d['c_0011_2'], 'c_0101_5' : d['c_0101_1'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_2'], 'c_0011_5' : d['c_0011_2'], 'c_0011_4' : negation(d['c_0011_2']), 'c_0011_6' : negation(d['c_0011_2']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_0'], 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : d['c_0101_4'], 'c_1001_4' : d['c_0101_1'], 'c_1001_6' : d['c_0110_6'], 'c_1001_1' : negation(d['c_0101_3']), 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : d['c_0101_2'], 'c_1001_2' : negation(d['c_0101_3']), 'c_0110_1' : d['c_0011_2'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0101_2']), 'c_0110_2' : d['c_0011_2'], 'c_0110_5' : d['c_0101_4'], 'c_0110_4' : d['c_0101_1'], 'c_0110_6' : d['c_0110_6'], 'c_1010_6' : d['c_0101_4'], 'c_1010_5' : d['c_0110_6'], 'c_1010_4' : negation(d['c_0101_3']), 'c_1010_3' : negation(d['c_0101_3']), 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : d['c_0101_2'], 'c_1010_0' : d['c_0011_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_0101_1, c_0101_2, c_0101_3, c_0101_4, c_0110_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 269/15*c_0110_6^5 + 1568/15*c_0110_6^3 - 1621/15*c_0110_6, c_0011_0 - 1, c_0011_2 - c_0110_6^4 + 5*c_0110_6^2 - 1, c_0101_1 - c_0110_6^5 + 5*c_0110_6^3 - 3*c_0110_6, c_0101_2 + c_0110_6^5 - 5*c_0110_6^3 + 2*c_0110_6, c_0101_3 + c_0110_6^4 - 5*c_0110_6^2 + 2, c_0101_4 + c_0110_6^4 - 4*c_0110_6^2, c_0110_6^6 - 6*c_0110_6^4 + 7*c_0110_6^2 - 1 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_2, c_0101_1, c_0101_2, c_0101_3, c_0101_4, c_0110_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t - 1232460709/30162064*c_0110_6^17 - 15073165919/30162064*c_0110_6^15 - 11988038621/3770258*c_0110_6^13 + 188669546367/30162064*c_0110_6^11 + 25321143933/7540516*c_0110_6^9 + 64725379865/15081032*c_0110_6^7 - 172415537773/15081032*c_0110_6^5 + 7034477055/3770258*c_0110_6^3 - 5791395579/30162064*c_0110_6, c_0011_0 - 1, c_0011_2 - 765849/7540516*c_0110_6^16 - 4653787/3770258*c_0110_6^14 - 29467961/3770258*c_0110_6^12 + 121030209/7540516*c_0110_6^10 + 48589767/7540516*c_0110_6^8 + 80781515/7540516*c_0110_6^6 - 215221009/7540516*c_0110_6^4 + 64402569/7540516*c_0110_6^2 - 2286784/1885129, c_0101_1 - 2362111/30162064*c_0110_6^17 - 29232621/30162064*c_0110_6^15 - 11747635/1885129*c_0110_6^13 + 335315573/30162064*c_0110_6^11 + 62174837/7540516*c_0110_6^9 + 128009715/15081032*c_0110_6^7 - 308577547/15081032*c_0110_6^5 + 1070593/3770258*c_0110_6^3 + 66328663/30162064*c_0110_6, c_0101_2 - 3775203/3770258*c_0110_6^17 - 22849056/1885129*c_0110_6^15 - 143965279/1885129*c_0110_6^13 + 615374347/3770258*c_0110_6^11 + 241891777/3770258*c_0110_6^9 + 350238557/3770258*c_0110_6^7 - 1111261601/3770258*c_0110_6^5 + 298509843/3770258*c_0110_6^3 - 10458198/1885129*c_0110_6, c_0101_3 + 830881/7540516*c_0110_6^16 + 9827683/7540516*c_0110_6^14 + 15136434/1885129*c_0110_6^12 - 153445431/7540516*c_0110_6^10 - 4643070/1885129*c_0110_6^8 - 26992417/3770258*c_0110_6^6 + 131101809/3770258*c_0110_6^4 - 32385424/1885129*c_0110_6^2 + 14284027/7540516, c_0101_4 + 2561659/30162064*c_0110_6^16 + 30701657/30162064*c_0110_6^14 + 11985845/1885129*c_0110_6^12 - 439482345/30162064*c_0110_6^10 - 26036687/7540516*c_0110_6^8 - 113421283/15081032*c_0110_6^6 + 377328595/15081032*c_0110_6^4 - 19401150/1885129*c_0110_6^2 + 40971813/30162064, c_0110_6^18 + 12*c_0110_6^16 + 75*c_0110_6^14 - 171*c_0110_6^12 - 47*c_0110_6^10 - 86*c_0110_6^8 + 304*c_0110_6^6 - 110*c_0110_6^4 + 15*c_0110_6^2 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB