Magma V2.19-8 Tue Aug 20 2013 23:44:32 on localhost [Seed = 121725622] Type ? for help. Type -D to quit. Loading file "L9a25__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L9a25 geometric_solution 8.58439465 oriented_manifold CS_known -0.0000000000000003 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 10 1 2 3 2 0132 0132 0132 1230 1 1 0 1 0 0 0 0 1 0 0 -1 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 1 0 0 -1 1 -1 0 0 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.131779201372 0.719201254760 0 4 4 5 0132 0132 1302 0132 1 1 1 0 0 0 0 0 -1 0 0 1 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 -1 0 0 1 0 0 0 0 -1 3 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.753506907028 1.345266475358 0 0 6 3 3012 0132 0132 2310 1 1 1 0 0 0 -1 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 -1 -1 2 1 0 0 -1 1 -2 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.246493092972 1.345266475358 2 5 7 0 3201 3012 0132 0132 1 1 1 1 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 -1 0 1 0 -2 0 0 2 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.087331451000 0.601590251652 1 1 8 9 2031 0132 0132 0132 1 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 0 0 0 0 0 0 0 0 0 0 0 2 -3 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.683069486388 0.565828914114 3 8 1 6 1230 0132 0132 3012 1 1 1 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 -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 0.473041261218 0.272624354276 9 9 5 2 1230 2031 1230 0132 1 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 0 0 0 0 -1 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 0.631894514438 0.908752788716 9 8 8 3 3012 3012 1023 0132 1 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 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 1.594384255072 0.769456659853 7 5 7 4 1230 0132 1023 0132 1 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 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 0.879976495007 0.568423792695 6 6 4 7 1302 3012 0132 1230 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 1 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.631894514438 0.908752788716 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_5' : d['c_1001_4'], 'c_1001_4' : d['c_1001_4'], 'c_1001_7' : d['c_0011_5'], 'c_1001_6' : negation(d['c_0011_7']), 'c_1001_1' : negation(d['c_0011_6']), 'c_1001_0' : negation(d['c_0101_0']), 'c_1001_3' : negation(d['c_0011_5']), 'c_1001_2' : d['c_0011_9'], 'c_1001_9' : negation(d['c_0011_6']), 'c_1001_8' : negation(d['c_0101_6']), 's_2_8' : d['1'], 's_2_9' : 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' : negation(d['1']), 's_2_6' : d['1'], 's_2_7' : d['1'], 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : d['1'], 's_0_4' : d['1'], 's_0_5' : negation(d['1']), 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : d['c_0101_3'], 'c_1100_8' : d['c_0101_3'], 'c_1100_5' : d['c_0011_7'], 'c_1100_4' : d['c_0101_3'], 'c_1100_7' : negation(d['c_0101_3']), 'c_1100_6' : d['c_0011_3'], 'c_1100_1' : d['c_0011_7'], 'c_1100_0' : negation(d['c_0101_3']), 'c_1100_3' : negation(d['c_0101_3']), 'c_1100_2' : d['c_0011_3'], 'c_1010_7' : negation(d['c_0011_5']), 'c_1010_6' : d['c_0011_9'], 'c_1010_5' : negation(d['c_0101_6']), 'c_1010_4' : negation(d['c_0011_6']), 'c_1010_3' : negation(d['c_0101_0']), 'c_1010_2' : negation(d['c_0101_0']), 'c_1010_1' : d['c_1001_4'], 'c_1010_0' : d['c_0011_9'], 'c_1010_9' : negation(d['c_0101_6']), 'c_1010_8' : d['c_1001_4'], 's_3_1' : negation(d['1']), 's_3_0' : 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_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : negation(d['1']), 's_1_2' : d['1'], 's_1_1' : d['1'], 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_9'], 'c_0011_8' : negation(d['c_0011_5']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], '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' : negation(d['c_0101_6']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0011_7'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_9'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_6']), 'c_0101_8' : d['c_0011_5'], 'c_0110_9' : d['c_0011_7'], 'c_0110_8' : d['c_0011_7'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_0']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_3']), 'c_0110_5' : d['c_0011_3'], 'c_0110_4' : negation(d['c_0011_6']), 'c_0110_7' : d['c_0101_3'], 'c_0110_6' : d['c_0011_9']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 11 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_5, c_0011_6, c_0011_7, c_0011_9, c_0101_0, c_0101_3, c_0101_6, c_1001_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 14312223814431/429958903750*c_1001_4^7 + 59140363435777/859917807500*c_1001_4^6 - 403953368693807/429958903750*c_1001_4^5 - 430711625986989/429958903750*c_1001_4^4 - 7079426640175137/859917807500*c_1001_4^3 + 12562705742499691/859917807500*c_1001_4^2 - 6819273457215479/859917807500*c_1001_4 + 1892255758603857/859917807500, c_0011_0 - 1, c_0011_3 - 19181313/1375868492*c_1001_4^7 + 10904182/343967123*c_1001_4^6 - 132235786/343967123*c_1001_4^5 - 484768209/1375868492*c_1001_4^4 - 4088291519/1375868492*c_1001_4^3 + 10717519259/1375868492*c_1001_4^2 - 471052999/1375868492*c_1001_4 + 730125135/687934246, c_0011_5 + 36601601/1375868492*c_1001_4^7 - 13463307/687934246*c_1001_4^6 + 243749278/343967123*c_1001_4^5 + 2419172037/1375868492*c_1001_4^4 + 11728083085/1375868492*c_1001_4^3 - 2056751365/1375868492*c_1001_4^2 + 505094253/1375868492*c_1001_4 - 81392067/343967123, c_0011_6 - 6004395/1375868492*c_1001_4^7 + 195548/343967123*c_1001_4^6 - 37980323/343967123*c_1001_4^5 - 500391527/1375868492*c_1001_4^4 - 1994856389/1375868492*c_1001_4^3 - 582290295/1375868492*c_1001_4^2 + 2477336703/1375868492*c_1001_4 - 62288307/687934246, c_0011_7 - 6004395/1375868492*c_1001_4^7 + 195548/343967123*c_1001_4^6 - 37980323/343967123*c_1001_4^5 - 500391527/1375868492*c_1001_4^4 - 1994856389/1375868492*c_1001_4^3 - 582290295/1375868492*c_1001_4^2 + 1101468211/1375868492*c_1001_4 - 62288307/687934246, c_0011_9 - 17044033/1375868492*c_1001_4^7 + 26979459/1375868492*c_1001_4^6 - 233519697/687934246*c_1001_4^5 - 730901549/1375868492*c_1001_4^4 - 1136263873/343967123*c_1001_4^3 + 2770150637/687934246*c_1001_4^2 - 207986213/687934246*c_1001_4 + 1479905425/1375868492, c_0101_0 - 1, c_0101_3 - 17044033/1375868492*c_1001_4^7 + 26979459/1375868492*c_1001_4^6 - 233519697/687934246*c_1001_4^5 - 730901549/1375868492*c_1001_4^4 - 1136263873/343967123*c_1001_4^3 + 2770150637/687934246*c_1001_4^2 - 207986213/687934246*c_1001_4 + 104036933/1375868492, c_0101_6 + 15939821/1375868492*c_1001_4^7 - 7632695/1375868492*c_1001_4^6 + 213308845/687934246*c_1001_4^5 + 1170810133/1375868492*c_1001_4^4 + 1359685401/343967123*c_1001_4^3 + 568913875/687934246*c_1001_4^2 + 911240919/687934246*c_1001_4 + 209796779/1375868492, c_1001_4^8 - c_1001_4^7 + 27*c_1001_4^6 + 59*c_1001_4^5 + 306*c_1001_4^4 - 123*c_1001_4^3 + 57*c_1001_4^2 + 4*c_1001_4 + 5 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.220 seconds, Total memory usage: 32.09MB