Magma V2.19-8 Tue Aug 20 2013 16:19:03 on localhost [Seed = 2732801992] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3193 geometric_solution 6.34220828 oriented_manifold CS_known 0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 4 0132 0132 0132 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 -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 0.609364261915 0.516065827817 0 5 4 2 0132 0132 1230 2103 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.932482417475 1.231895251208 6 0 6 1 0132 0132 1023 2103 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 0.241432783938 1.208308976851 6 5 5 0 3012 3201 1230 0132 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 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 0.704625248135 0.610937663957 4 4 0 1 1230 3012 0132 3012 0 0 0 0 0 1 -1 0 -1 0 0 1 -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 -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 1.044357462889 0.809326190973 6 1 3 3 1023 0132 2310 3012 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.189845268062 0.702435856058 2 5 2 3 0132 1023 1023 1230 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 0 0 0 0 0 0 -0.357383185501 0.830384803799 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : negation(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' : 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' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_0_6' : negation(d['1']), 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : d['c_0101_0'], 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : d['c_0101_3'], 's_3_6' : negation(d['1']), 'c_1100_1' : d['c_0011_4'], 'c_1100_0' : d['c_0101_3'], 'c_1100_3' : d['c_0101_3'], 'c_1100_2' : negation(d['c_0101_0']), 'c_0101_6' : negation(d['c_0011_4']), 'c_0101_5' : d['c_0011_3'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_3'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : d['c_0011_0'], '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' : negation(d['c_1001_0']), 'c_1001_4' : negation(d['c_0011_4']), 'c_1001_6' : d['c_0011_3'], 'c_1001_1' : negation(d['c_0101_3']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0011_3']), 'c_1001_2' : negation(d['c_0011_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' : negation(d['c_0011_4']), 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : d['c_0011_4'], 'c_0110_6' : d['c_0011_3'], 'c_1010_6' : d['c_0101_3'], 'c_1010_5' : negation(d['c_0101_3']), 'c_1010_4' : negation(d['c_0101_1']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_1001_0']), '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_0101_0, c_0101_1, c_0101_3, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t + 5375399865455143/68668126340312192*c_1001_0^15 + 49412341534398143/68668126340312192*c_1001_0^13 + 445682173118443831/68668126340312192*c_1001_0^11 - 47456873680920929/8583515792539024*c_1001_0^9 + 1270596632428328091/68668126340312192*c_1001_0^7 + 4665175787569262657/68668126340312192*c_1001_0^5 + 3103940135599243151/68668126340312192*c_1001_0^3 - 6905024578125038931/68668126340312192*c_1001_0, c_0011_0 - 1, c_0011_3 - 2181694364549/1072939474067378*c_1001_0^15 - 19239540621281/1072939474067378*c_1001_0^13 - 172754140727281/1072939474067378*c_1001_0^11 + 113300297838517/536469737033689*c_1001_0^9 - 529375274771161/1072939474067378*c_1001_0^7 - 1815618675022315/1072939474067378*c_1001_0^5 - 252337107600775/1072939474067378*c_1001_0^3 + 3748323784088319/1072939474067378*c_1001_0, c_0011_4 + 489972967776/536469737033689*c_1001_0^14 + 4219202676213/536469737033689*c_1001_0^12 + 38185628734362/536469737033689*c_1001_0^10 - 57278822225137/536469737033689*c_1001_0^8 + 142483757105719/536469737033689*c_1001_0^6 + 287767027723129/536469737033689*c_1001_0^4 - 14756582246565/536469737033689*c_1001_0^2 - 516598066885439/536469737033689, c_0101_0 - 1, c_0101_1 + 12835875450117/2145878948134756*c_1001_0^15 + 116676261789457/2145878948134756*c_1001_0^13 + 1049218297768141/2145878948134756*c_1001_0^11 - 260347753431147/536469737033689*c_1001_0^9 + 2886275492075197/2145878948134756*c_1001_0^7 + 11056526752798719/2145878948134756*c_1001_0^5 + 4904036779906993/2145878948134756*c_1001_0^3 - 19436857011519565/2145878948134756*c_1001_0, c_0101_3 - 201627283175/536469737033689*c_1001_0^14 - 1841106099047/536469737033689*c_1001_0^12 - 16144122262935/536469737033689*c_1001_0^10 + 18322074824504/536469737033689*c_1001_0^8 - 19333442767612/536469737033689*c_1001_0^6 - 271539093919908/536469737033689*c_1001_0^4 + 151906848324716/536469737033689*c_1001_0^2 + 413911063284503/536469737033689, c_1001_0^16 + 9*c_1001_0^14 + 81*c_1001_0^12 - 88*c_1001_0^10 + 237*c_1001_0^8 + 823*c_1001_0^6 + 377*c_1001_0^4 - 1557*c_1001_0^2 + 32 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB