Magma V2.19-8 Tue Aug 20 2013 16:17:13 on localhost [Seed = 21011932] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1450 geometric_solution 5.27097603 oriented_manifold CS_known 0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 7 1 1 2 2 0132 2310 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 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 1.849567656337 0.851642911158 0 1 1 0 0132 3201 2310 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 -0.684541323659 0.150029970691 0 3 4 0 3201 0132 0132 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 1 0 -1 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 0.764510997114 0.491460449117 5 2 6 4 0132 0132 0132 3201 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 -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 0.240866072203 0.708089590214 6 3 5 2 1023 2310 1023 0132 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 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 0.240866072203 0.708089590214 3 5 4 5 0132 2310 1023 3201 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 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 0.456941571118 0.924136616092 6 4 6 3 2310 1023 3201 0132 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 0 0 0 0 0 0 0 0 -0.430573677187 1.265785321475 ==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' : negation(d['c_0011_4']), 'c_1100_5' : negation(d['c_0011_2']), 'c_1100_4' : d['c_0011_2'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0011_2'], 'c_1100_3' : negation(d['c_0011_4']), 'c_1100_2' : d['c_0011_2'], 'c_0101_6' : negation(d['c_0101_3']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_3'], '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' : d['c_0101_0'], 'c_0011_5' : d['c_0011_2'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : d['c_0011_4'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_2']), 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : d['c_0101_3'], 'c_1001_4' : d['c_0101_5'], 'c_1001_6' : d['c_0101_3'], 'c_1001_1' : negation(d['c_0101_1']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_1']), 'c_1001_2' : negation(d['c_0101_5']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_5'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : negation(d['c_0101_1']), 'c_0110_6' : d['c_0101_3'], 'c_1010_6' : negation(d['c_0101_1']), 'c_1010_5' : negation(d['c_0101_3']), 'c_1010_4' : negation(d['c_0101_5']), 'c_1010_3' : negation(d['c_0101_5']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : d['c_0101_1'], 'c_1010_0' : negation(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_4, c_0101_0, c_0101_1, c_0101_3, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 20 Groebner basis: [ t - 559173340/41997067*c_0101_5^18 + 6078723212/41997067*c_0101_5^16 - 17113153347/41997067*c_0101_5^14 + 54852440025/41997067*c_0101_5^12 - 206452836557/41997067*c_0101_5^10 + 404502750297/41997067*c_0101_5^8 - 377288840860/41997067*c_0101_5^6 + 167832246577/41997067*c_0101_5^4 - 37770428988/41997067*c_0101_5^2 + 5498432780/41997067, c_0011_0 - 1, c_0011_2 - 629036/41997067*c_0101_5^18 + 10940228/41997067*c_0101_5^16 - 55314536/41997067*c_0101_5^14 + 108942864/41997067*c_0101_5^12 - 507776988/41997067*c_0101_5^10 + 1363658357/41997067*c_0101_5^8 - 1292609632/41997067*c_0101_5^6 + 463542959/41997067*c_0101_5^4 - 166468675/41997067*c_0101_5^2 + 26798050/41997067, c_0011_4 + 20176455/41997067*c_0101_5^18 - 202929344/41997067*c_0101_5^16 + 459884729/41997067*c_0101_5^14 - 1674461962/41997067*c_0101_5^12 + 6208905908/41997067*c_0101_5^10 - 10093535713/41997067*c_0101_5^8 + 7312855362/41997067*c_0101_5^6 - 2587117668/41997067*c_0101_5^4 + 591977475/41997067*c_0101_5^2 - 51638091/41997067, c_0101_0 - 14633496/41997067*c_0101_5^19 + 152678257/41997067*c_0101_5^17 - 387123848/41997067*c_0101_5^15 + 1324290509/41997067*c_0101_5^13 - 4937000625/41997067*c_0101_5^11 + 8896178477/41997067*c_0101_5^9 - 7652705314/41997067*c_0101_5^7 + 3452566856/41997067*c_0101_5^5 - 1042613113/41997067*c_0101_5^3 + 207946447/41997067*c_0101_5, c_0101_1 - 2081053/41997067*c_0101_5^19 + 23557770/41997067*c_0101_5^17 - 73932863/41997067*c_0101_5^15 + 233899745/41997067*c_0101_5^13 - 863885895/41997067*c_0101_5^11 + 1854947624/41997067*c_0101_5^9 - 2131763458/41997067*c_0101_5^7 + 1307622846/41997067*c_0101_5^5 - 437386364/41997067*c_0101_5^3 + 131025838/41997067*c_0101_5, c_0101_3 - 215487/5999581*c_0101_5^19 + 1489661/5999581*c_0101_5^17 + 2133150/5999581*c_0101_5^15 + 637470/5999581*c_0101_5^13 - 9315945/5999581*c_0101_5^11 - 113713055/5999581*c_0101_5^9 + 297379870/5999581*c_0101_5^7 - 218834129/5999581*c_0101_5^5 + 54746061/5999581*c_0101_5^3 - 10407588/5999581*c_0101_5, c_0101_5^20 - 11*c_0101_5^18 + 32*c_0101_5^16 - 102*c_0101_5^14 + 382*c_0101_5^12 - 771*c_0101_5^10 + 768*c_0101_5^8 - 392*c_0101_5^6 + 115*c_0101_5^4 - 22*c_0101_5^2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB