Magma V2.19-8 Tue Aug 20 2013 16:14:38 on localhost [Seed = 745386026] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s610 geometric_solution 5.08848451 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 6 0 0 1 2 1230 3012 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 -1 0 1 0 -1 1 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.562389661978 0.761198774155 3 4 4 0 0132 0132 3201 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 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 0.712209514460 0.586341759981 4 3 0 4 2310 3201 0132 1023 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 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 0.712209514460 0.586341759981 1 5 2 5 0132 0132 2310 2310 0 0 0 0 0 1 -1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.959514578129 0.648986153542 1 1 2 2 2310 0132 3201 1023 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 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 1.163129455930 0.688971626641 3 3 5 5 3201 0132 2031 1302 0 0 0 0 0 -1 1 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 0.561889789788 0.195413127124 ==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' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : d['1'], 's_1_5' : d['1'], 's_1_4' : negation(d['1']), 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : negation(d['1']), 's_1_0' : negation(d['1']), 's_0_4' : negation(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' : d['1'], 'c_1100_5' : negation(d['c_0101_1']), 'c_1100_4' : negation(d['c_0011_1']), 'c_1100_1' : d['c_0011_1'], 'c_1100_0' : d['c_0011_1'], 'c_1100_3' : d['c_0011_1'], 'c_1100_2' : d['c_0011_1'], 'c_0101_5' : negation(d['c_0101_1']), 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : d['c_0011_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_1'], 'c_0011_4' : negation(d['c_0011_1']), 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_1']), 'c_0011_2' : d['c_0011_1'], 'c_1001_5' : negation(d['c_0110_5']), 'c_1001_4' : negation(d['c_0011_0']), 'c_1001_1' : negation(d['c_0101_4']), 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0101_1'], 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : negation(d['c_0101_4']), 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : negation(d['c_0101_1']), 'c_1010_5' : d['c_0101_1'], 'c_1010_4' : negation(d['c_0101_4']), 'c_1010_3' : negation(d['c_0110_5']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : negation(d['c_0101_0'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0101_0, c_0101_1, c_0101_4, c_0110_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t - 11058012355893/432432934720*c_0110_5^13 + 72948047374681/43243293472*c_0110_5^11 - 391123187413329/27027058420*c_0110_5^9 + 16776886020468371/432432934720*c_0110_5^7 - 13082654510724783/216216467360*c_0110_5^5 + 2814053870315523/86486586944*c_0110_5^3 - 2795643098364729/432432934720*c_0110_5, c_0011_0 - 1, c_0011_1 - 248665289/21621646736*c_0110_5^12 + 16264499141/21621646736*c_0110_5^10 - 131558922927/21621646736*c_0110_5^8 + 75270972711/5405411684*c_0110_5^6 - 202209583513/10810823368*c_0110_5^4 + 66854127649/21621646736*c_0110_5^2 + 813893181/2702705842, c_0101_0 - 141249357/5405411684*c_0110_5^13 + 4666126529/2702705842*c_0110_5^11 - 80864534855/5405411684*c_0110_5^9 + 221620475035/5405411684*c_0110_5^7 - 349703862999/5405411684*c_0110_5^5 + 98658474769/2702705842*c_0110_5^3 - 7452864794/1351352921*c_0110_5, c_0101_1 - 25471437/2702705842*c_0110_5^12 + 3335609685/5405411684*c_0110_5^10 - 13594388025/2702705842*c_0110_5^8 + 63731281945/5405411684*c_0110_5^6 - 86921795311/5405411684*c_0110_5^4 + 15429925329/5405411684*c_0110_5^2 - 195695385/1351352921, c_0101_4 - 177154245/10810823368*c_0110_5^13 + 11575096771/10810823368*c_0110_5^11 - 92945616943/10810823368*c_0110_5^9 + 104326295237/5405411684*c_0110_5^7 - 34161465432/1351352921*c_0110_5^5 + 14107511891/10810823368*c_0110_5^3 + 4108139019/2702705842*c_0110_5, c_0110_5^14 - 66*c_0110_5^12 + 568*c_0110_5^10 - 1535*c_0110_5^8 + 2414*c_0110_5^6 - 1347*c_0110_5^4 + 293*c_0110_5^2 - 8 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.220 seconds, Total memory usage: 32.09MB