Magma V2.19-8 Wed Aug 21 2013 01:03:23 on localhost [Seed = 4138790651] Type ? for help. Type -D to quit. Loading file "L14n19921__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n19921 geometric_solution 12.87441766 oriented_manifold CS_known 0.0000000000000005 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 2 0132 0132 0132 1023 1 1 1 1 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 1 -1 0 -5 0 5 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.774455417006 0.794296194272 0 4 6 5 0132 0132 0132 0132 1 1 1 1 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 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.491918497534 0.963604724766 4 0 7 0 3120 0132 0132 1023 1 1 1 1 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 -1 0 1 0 0 -1 1 4 1 0 -5 -5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.774455417006 0.794296194272 8 6 7 0 0132 1023 0321 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 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 0.491918497534 0.963604724766 6 1 9 2 1302 0132 0132 3120 1 1 1 1 0 1 0 -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 -4 -1 5 0 0 0 0 4 0 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.579742856951 0.823229398140 10 10 1 11 0132 1230 0132 0132 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 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 0.444018934530 0.915158326536 3 4 7 1 1023 2031 2310 0132 1 1 1 1 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 -4 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.225544582994 0.794296194272 11 6 3 2 3201 3201 0321 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 -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 0.491918497534 0.963604724766 3 9 10 9 0132 3012 0132 2031 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 -1 0 0 1 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.444018934530 0.915158326536 8 8 12 4 1230 1302 0132 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 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 0.484882836798 0.798128916702 5 12 5 8 0132 1023 3012 0132 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 0 0 0 0 1 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.570858366044 0.884495027208 12 12 5 7 1023 0213 0132 2310 1 1 1 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 -1 0 0 1 2 -3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.444018934530 0.915158326536 10 11 11 9 1023 1023 0213 0132 1 1 1 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 -1 1 0 0 -1 -2 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.484882836798 0.798128916702 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_10'], 'c_1001_10' : d['c_0011_10'], 'c_1001_12' : d['c_0101_10'], 'c_1001_5' : d['c_1001_4'], 'c_1001_4' : d['c_1001_4'], 'c_1001_7' : negation(d['c_0101_6']), 'c_1001_6' : negation(d['c_0110_2']), 'c_1001_1' : d['c_0011_0'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : d['c_0101_6'], 'c_1001_2' : d['c_0110_2'], 'c_1001_9' : d['c_0101_3'], 'c_1001_8' : negation(d['c_0011_9']), 'c_1010_12' : d['c_0101_3'], 'c_1010_11' : negation(d['c_0101_2']), 'c_1010_10' : negation(d['c_0011_9']), 's_0_10' : d['1'], 's_0_11' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_10'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : negation(d['1']), 's_2_1' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : d['1'], 's_2_12' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : negation(d['1']), 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : d['1'], 's_0_4' : negation(d['1']), 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_0011_11' : d['c_0011_10'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_10'], 'c_1100_5' : d['c_0011_7'], 'c_1100_4' : negation(d['c_0101_2']), 'c_1100_7' : d['c_0101_6'], 'c_1100_6' : d['c_0011_7'], 'c_1100_1' : d['c_0011_7'], 'c_1100_0' : negation(d['c_0101_6']), 'c_1100_3' : negation(d['c_0101_6']), 'c_1100_2' : d['c_0101_6'], 's_3_11' : d['1'], 'c_1100_9' : negation(d['c_0101_2']), 'c_1100_11' : d['c_0011_7'], 'c_1100_10' : negation(d['c_1001_4']), 's_3_10' : d['1'], 'c_1010_7' : d['c_0110_2'], 'c_1010_6' : d['c_0011_0'], 'c_1010_5' : d['c_0101_10'], 'c_1010_4' : d['c_0011_0'], 'c_1010_3' : d['c_0101_1'], 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : d['c_1001_4'], 'c_1010_0' : d['c_0110_2'], 'c_1010_9' : d['c_1001_4'], 'c_1010_8' : d['c_0011_9'], 's_3_1' : 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' : negation(d['1']), 's_3_9' : negation(d['1']), 's_3_8' : negation(d['1']), 'c_1100_12' : negation(d['c_0101_2']), 's_1_7' : d['1'], 's_1_6' : negation(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_1_9' : negation(d['1']), 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_9'], 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : d['c_0011_7'], 'c_0110_6' : d['c_0101_1'], '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_0110_11' : d['c_0101_3'], 'c_0110_10' : d['c_0101_0'], 'c_0110_12' : negation(d['c_0011_9']), 'c_0101_12' : d['c_0011_10'], 'c_0011_6' : d['c_0011_3'], 'c_0101_7' : negation(d['c_0101_3']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : negation(d['c_0011_3']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_9']), 'c_0101_8' : d['c_0101_0'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_3']), 'c_0110_8' : d['c_0101_3'], '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_0110_2'], 'c_0110_5' : d['c_0101_10'], 'c_0110_4' : d['c_0110_2'], 'c_0110_7' : d['c_0101_2'], 'c_1100_8' : negation(d['c_1001_4'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0011_7, c_0011_9, c_0101_0, c_0101_1, c_0101_10, c_0101_2, c_0101_3, c_0101_6, c_0110_2, c_1001_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t + 1313531207/32397889536*c_1001_4^10 + 134745661/476439552*c_1001_4^9 + 5536581059/8099472384*c_1001_4^8 + 6186761927/8099472384*c_1001_4^7 + 3212954279/3599765504*c_1001_4^6 + 16672032709/16198944768*c_1001_4^5 - 1987454873/10799296512*c_1001_4^4 + 130551611/1349912064*c_1001_4^3 + 25907649769/32397889536*c_1001_4^2 - 7387462327/8099472384*c_1001_4 + 17387066243/32397889536, c_0011_0 - 1, c_0011_10 + 1, c_0011_3 + 37/3041*c_1001_4^10 + 137/3041*c_1001_4^9 - 857/3041*c_1001_4^8 - 5313/3041*c_1001_4^7 - 10425/3041*c_1001_4^6 - 12526/3041*c_1001_4^5 - 17287/3041*c_1001_4^4 - 14967/3041*c_1001_4^3 - 3296/3041*c_1001_4^2 - 2299/3041*c_1001_4 - 254/3041, c_0011_7 - 37/3041*c_1001_4^10 - 137/3041*c_1001_4^9 + 857/3041*c_1001_4^8 + 5313/3041*c_1001_4^7 + 10425/3041*c_1001_4^6 + 12526/3041*c_1001_4^5 + 17287/3041*c_1001_4^4 + 14967/3041*c_1001_4^3 + 3296/3041*c_1001_4^2 + 2299/3041*c_1001_4 + 254/3041, c_0011_9 - 524/3041*c_1001_4^10 - 3584/3041*c_1001_4^9 - 7835/3041*c_1001_4^8 - 7110/3041*c_1001_4^7 - 9423/3041*c_1001_4^6 - 10818/3041*c_1001_4^5 + 5322/3041*c_1001_4^4 - 1809/3041*c_1001_4^3 + 1721/3041*c_1001_4^2 + 5272/3041*c_1001_4 + 474/3041, c_0101_0 - 340/3041*c_1001_4^10 - 2163/3041*c_1001_4^9 - 4782/3041*c_1001_4^8 - 4683/3041*c_1001_4^7 - 3816/3041*c_1001_4^6 - 2098/3041*c_1001_4^5 + 6146/3041*c_1001_4^4 + 8251/3041*c_1001_4^3 + 2672/3041*c_1001_4^2 + 2469/3041*c_1001_4 - 296/3041, c_0101_1 - 275/3041*c_1001_4^10 - 1347/3041*c_1001_4^9 - 1274/3041*c_1001_4^8 + 2339/3041*c_1001_4^7 + 5321/3041*c_1001_4^6 + 9841/3041*c_1001_4^5 + 14899/3041*c_1001_4^4 + 9491/3041*c_1001_4^3 + 6991/3041*c_1001_4^2 + 74/3041*c_1001_4 + 655/3041, c_0101_10 - 508/3041*c_1001_4^10 - 3196/3041*c_1001_4^9 - 6644/3041*c_1001_4^8 - 5709/3041*c_1001_4^7 - 5630/3041*c_1001_4^6 - 5961/3041*c_1001_4^5 + 1956/3041*c_1001_4^4 - 802/3041*c_1001_4^3 - 3485/3041*c_1001_4^2 - 3037/3041*c_1001_4 - 1444/3041, c_0101_2 - 340/3041*c_1001_4^10 - 2163/3041*c_1001_4^9 - 4782/3041*c_1001_4^8 - 4683/3041*c_1001_4^7 - 3816/3041*c_1001_4^6 - 2098/3041*c_1001_4^5 + 6146/3041*c_1001_4^4 + 8251/3041*c_1001_4^3 + 2672/3041*c_1001_4^2 + 2469/3041*c_1001_4 - 296/3041, c_0101_3 + c_1001_4, c_0101_6 + 1, c_0110_2 + 275/3041*c_1001_4^10 + 1347/3041*c_1001_4^9 + 1274/3041*c_1001_4^8 - 2339/3041*c_1001_4^7 - 5321/3041*c_1001_4^6 - 9841/3041*c_1001_4^5 - 14899/3041*c_1001_4^4 - 9491/3041*c_1001_4^3 - 6991/3041*c_1001_4^2 - 74/3041*c_1001_4 - 655/3041, c_1001_4^11 + 6*c_1001_4^10 + 12*c_1001_4^9 + 12*c_1001_4^8 + 17*c_1001_4^7 + 16*c_1001_4^6 - c_1001_4^5 + 6*c_1001_4^4 - c_1001_4^3 + 2*c_1001_4^2 - 3*c_1001_4 + 2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.250 Total time: 0.460 seconds, Total memory usage: 32.09MB