Magma V2.19-8 Tue Aug 20 2013 16:19:07 on localhost [Seed = 273780074] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3257 geometric_solution 6.38626844 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 3 0132 0132 0132 1230 0 0 0 0 0 -1 0 1 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 -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 0.198002962287 1.364626915584 0 2 2 4 0132 3012 2031 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 -1 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.602306184153 0.766478236152 1 0 5 1 1230 0132 0132 1302 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 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 0.206720087525 0.275738823575 0 6 4 0 3012 0132 1302 0132 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 0 0 0 0 1 0 -1 1 0 -1 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 0.550746244664 1.254354871914 3 5 1 6 2031 3120 0132 2103 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.253067190959 0.706585220781 6 4 6 2 2310 3120 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.467986463202 0.684924955577 5 3 5 4 2310 0132 3201 2103 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.213074627179 1.908957730103 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : 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_5']), 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : d['c_0101_5'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0101_5'], 'c_1100_0' : d['c_0101_0'], 'c_1100_3' : d['c_0101_0'], 'c_1100_2' : d['c_0011_3'], 'c_0101_6' : negation(d['c_0101_2']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : negation(d['c_0011_4']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0011_3'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_4'], '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' : d['c_0101_2'], 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_6' : negation(d['c_0101_5']), 'c_1001_1' : d['c_0011_0'], 'c_1001_0' : negation(d['c_0101_5']), 'c_1001_3' : d['c_0011_5'], 'c_1001_2' : negation(d['c_0011_4']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_3'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_0']), 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0011_5'], 'c_0110_6' : negation(d['c_0101_5']), 'c_1010_6' : d['c_0011_5'], 'c_1010_5' : negation(d['c_0011_4']), 'c_1010_4' : negation(d['c_0011_5']), 'c_1010_3' : negation(d['c_0101_5']), 'c_1010_2' : negation(d['c_0101_5']), 'c_1010_1' : negation(d['c_0101_2']), 'c_1010_0' : negation(d['c_0011_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_0011_4, c_0011_5, c_0101_0, c_0101_2, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t + 10249931357/170207688*c_0101_5^10 - 22459504675/56735896*c_0101_5^9 - 8983499893/28367948*c_0101_5^8 - 18470968807/170207688*c_0101_5^7 + 463530477901/170207688*c_0101_5^6 + 55638642909/56735896*c_0101_5^5 - 1822033305/4052564*c_0101_5^4 - 14389755809/28367948*c_0101_5^3 - 10080850603/24315384*c_0101_5^2 - 127447373405/170207688*c_0101_5 - 17118932491/56735896, c_0011_0 - 1, c_0011_3 + 976709/8105128*c_0101_5^10 - 5274289/8105128*c_0101_5^9 - 6685247/4052564*c_0101_5^8 - 3105991/8105128*c_0101_5^7 + 45450333/8105128*c_0101_5^6 + 67331863/8105128*c_0101_5^5 - 10763241/4052564*c_0101_5^4 - 12649963/4052564*c_0101_5^3 - 2709797/8105128*c_0101_5^2 - 17665029/8105128*c_0101_5 - 13811297/8105128, c_0011_4 + 2691363/8105128*c_0101_5^10 - 16509095/8105128*c_0101_5^9 - 11307243/4052564*c_0101_5^8 - 6387781/8105128*c_0101_5^7 + 122175927/8105128*c_0101_5^6 + 96800585/8105128*c_0101_5^5 - 15307091/4052564*c_0101_5^4 - 17153359/4052564*c_0101_5^3 - 17678979/8105128*c_0101_5^2 - 39081143/8105128*c_0101_5 - 19730123/8105128, c_0011_5 + 1121283/2026282*c_0101_5^10 - 14775745/4052564*c_0101_5^9 - 2864536/1013141*c_0101_5^8 - 1125025/1013141*c_0101_5^7 + 100221065/4052564*c_0101_5^6 + 17514711/2026282*c_0101_5^5 - 12586261/4052564*c_0101_5^4 - 14582347/4052564*c_0101_5^3 - 15653855/4052564*c_0101_5^2 - 6570907/1013141*c_0101_5 - 11541737/4052564, c_0101_0 + 943469/8105128*c_0101_5^10 - 5929121/8105128*c_0101_5^9 - 3623113/4052564*c_0101_5^8 + 464029/8105128*c_0101_5^7 + 42158113/8105128*c_0101_5^6 + 27517735/8105128*c_0101_5^5 - 11327033/4052564*c_0101_5^4 + 120451/4052564*c_0101_5^3 - 3040429/8105128*c_0101_5^2 - 20112937/8105128*c_0101_5 - 6466717/8105128, c_0101_2 + 986471/4052564*c_0101_5^10 - 6776153/4052564*c_0101_5^9 - 815209/1013141*c_0101_5^8 - 310359/4052564*c_0101_5^7 + 45045619/4052564*c_0101_5^6 + 3068985/4052564*c_0101_5^5 - 2943737/1013141*c_0101_5^4 - 3646901/2026282*c_0101_5^3 - 6347785/4052564*c_0101_5^2 - 8298945/4052564*c_0101_5 - 1129595/4052564, c_0101_5^11 - 6*c_0101_5^10 - 9*c_0101_5^9 - 5*c_0101_5^8 + 44*c_0101_5^7 + 42*c_0101_5^6 + 3*c_0101_5^5 - 12*c_0101_5^4 - 11*c_0101_5^3 - 16*c_0101_5^2 - 12*c_0101_5 - 3 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB