Magma V2.19-8 Tue Aug 20 2013 23:29:49 on localhost [Seed = 3002389732] Type ? for help. Type -D to quit. Loading file "K14n24757__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K14n24757 geometric_solution 8.15305896 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 9 1 2 3 4 0132 0132 0132 0132 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 -1 0 1 0 0 0 0 0 0 0 0 0 -12 12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.198443734905 0.839050807985 0 5 6 5 0132 0132 0132 3120 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 11 -11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.173504958943 1.347302857688 5 0 4 7 2103 0132 3012 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 1 0 -1 0 0 0 0 0 12 0 -12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.443607036021 1.037388015112 8 6 8 0 0132 2103 1230 0132 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 0 0 0 0 12 0 0 -12 11 0 -11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.217609784784 0.578071994265 7 2 0 6 3201 1230 0132 1302 0 0 0 0 0 0 0 0 -1 0 0 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 0 0 -1 1 -12 0 0 12 -11 0 0 11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.112448991395 0.676457617497 1 1 2 8 3120 0132 2103 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 -11 0 11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.679740383014 0.627978842869 7 3 4 1 0213 2103 2031 0132 0 0 0 0 0 0 -1 1 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 -11 11 1 0 -1 0 0 0 0 0 12 0 -12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.251355485509 0.335107408071 6 8 2 4 0213 3120 0132 2310 0 0 0 0 0 -1 0 1 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 -12 1 11 0 0 0 0 -1 -11 0 12 -12 0 12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.567181478706 0.905046810705 3 7 5 3 0132 3120 0132 3012 0 0 0 0 0 0 -1 1 0 0 0 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 0 -11 11 0 0 0 0 -11 11 0 0 -12 12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.429626042162 1.515176404457 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_5' : negation(d['c_0011_0']), 'c_1001_4' : negation(d['c_0011_4']), 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : d['c_0011_3'], 'c_1001_1' : negation(d['c_1001_0']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0011_6'], 'c_1001_2' : negation(d['c_0011_4']), 'c_1001_8' : negation(d['c_1001_0']), 's_2_8' : 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' : negation(d['1']), 's_2_6' : d['1'], 's_2_7' : d['1'], 's_0_8' : d['1'], 's_0_6' : d['1'], 's_0_7' : 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_8' : negation(d['c_0011_6']), 'c_1100_5' : negation(d['c_0011_6']), 'c_1100_4' : d['c_0011_7'], 'c_1100_7' : d['c_0011_4'], 'c_1100_6' : negation(d['c_0101_2']), 'c_1100_1' : negation(d['c_0101_2']), 'c_1100_0' : d['c_0011_7'], 'c_1100_3' : d['c_0011_7'], 'c_1100_2' : d['c_0011_4'], 'c_1010_7' : d['c_0011_3'], 'c_1010_6' : negation(d['c_1001_0']), 'c_1010_5' : negation(d['c_1001_0']), 'c_1010_4' : d['c_0101_2'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : negation(d['c_0011_4']), 'c_1010_8' : negation(d['c_0011_7']), '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_3_7' : d['1'], 's_3_6' : d['1'], 's_3_8' : d['1'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : negation(d['1']), 's_1_0' : negation(d['1']), 's_1_8' : d['1'], 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : d['c_0011_6'], '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_0101_7' : d['c_0011_6'], 'c_0101_6' : d['c_0011_7'], 'c_0101_5' : d['c_0101_2'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0011_7'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_8' : d['c_0101_0'], 'c_0110_8' : d['c_0011_7'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0011_6'], 'c_0110_5' : d['c_0101_0'], 'c_0110_4' : negation(d['c_0011_3']), 'c_0110_7' : negation(d['c_0101_1']), 'c_0110_6' : d['c_0101_1']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 10 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_4, c_0011_6, c_0011_7, c_0101_0, c_0101_1, c_0101_2, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t - 4685701/185776*c_1001_0^8 - 59610337/1671984*c_1001_0^7 + 61063519/557328*c_1001_0^6 + 10310621/557328*c_1001_0^5 - 349166185/1671984*c_1001_0^4 - 32910685/835992*c_1001_0^3 - 25300822/104499*c_1001_0^2 + 410504377/1671984*c_1001_0 - 387581429/1671984, c_0011_0 - 1, c_0011_3 - 128/2049*c_1001_0^8 - 367/2049*c_1001_0^7 + 161/683*c_1001_0^6 + 1078/2049*c_1001_0^5 - 836/2049*c_1001_0^4 - 1369/2049*c_1001_0^3 - 3212/2049*c_1001_0^2 + 199/683*c_1001_0 + 43/2049, c_0011_4 + 67/2049*c_1001_0^8 - 16/2049*c_1001_0^7 - 207/683*c_1001_0^6 - 20/2049*c_1001_0^5 + 1270/2049*c_1001_0^4 - 484/2049*c_1001_0^3 - 944/2049*c_1001_0^2 - 451/683*c_1001_0 - 1031/2049, c_0011_6 - 35/683*c_1001_0^8 - 63/683*c_1001_0^7 - 12/683*c_1001_0^6 + 92/683*c_1001_0^5 + 305/683*c_1001_0^4 - 369/683*c_1001_0^3 - 302/683*c_1001_0^2 - 333/683*c_1001_0 - 175/683, c_0011_7 - 292/2049*c_1001_0^8 - 389/2049*c_1001_0^7 + 474/683*c_1001_0^6 + 26/2049*c_1001_0^5 - 3700/2049*c_1001_0^4 - 1010/2049*c_1001_0^3 - 2461/2049*c_1001_0^2 + 1201/683*c_1001_0 - 2143/2049, c_0101_0 - 128/2049*c_1001_0^8 - 367/2049*c_1001_0^7 + 161/683*c_1001_0^6 + 1078/2049*c_1001_0^5 - 836/2049*c_1001_0^4 - 1369/2049*c_1001_0^3 - 3212/2049*c_1001_0^2 + 199/683*c_1001_0 + 43/2049, c_0101_1 - 127/683*c_1001_0^8 - 92/683*c_1001_0^7 + 698/683*c_1001_0^6 - 115/683*c_1001_0^5 - 1235/683*c_1001_0^4 - 51/683*c_1001_0^3 - 647/683*c_1001_0^2 + 1953/683*c_1001_0 - 1318/683, c_0101_2 - 142/2049*c_1001_0^8 - 119/2049*c_1001_0^7 + 296/683*c_1001_0^6 - 661/2049*c_1001_0^5 - 2080/2049*c_1001_0^4 + 2035/2049*c_1001_0^3 - 874/2049*c_1001_0^2 + 1384/683*c_1001_0 - 3442/2049, c_1001_0^9 + c_1001_0^8 - 5*c_1001_0^7 + c_1001_0^6 + 9*c_1001_0^5 - 2*c_1001_0^4 + 8*c_1001_0^3 - 13*c_1001_0^2 + 13*c_1001_0 - 4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.040 Total time: 0.250 seconds, Total memory usage: 32.09MB