Magma V2.19-8 Wed Aug 21 2013 00:59:25 on localhost [Seed = 3481916571] Type ? for help. Type -D to quit. Loading file "L13n6895__sl2_c6.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n6895 geometric_solution 11.75319854 oriented_manifold CS_known -0.0000000000000003 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 3 0132 0132 0132 3201 1 2 1 2 0 0 -1 1 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 1 0 -1 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 0.535343549172 0.393950125424 0 4 2 5 0132 0132 1230 0132 2 2 2 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 -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 0.596324986767 0.136232987330 6 0 7 1 0132 0132 0132 3012 1 2 2 1 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.724174628026 1.690759681456 5 0 8 0 0132 2310 0132 0132 1 2 2 1 0 -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 -1 1 0 0 0 -1 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 0.321873300375 0.929905666938 5 1 6 7 3120 0132 1023 1302 2 2 1 2 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 -1 9 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.586856579456 1.201570686671 3 6 1 4 0132 3120 0132 3120 2 2 1 2 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 -1 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 0 1.586856579456 1.201570686671 2 5 4 8 0132 3120 1023 1302 2 2 1 2 0 0 0 0 0 0 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 -9 9 1 -1 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.586856579456 1.201570686671 9 10 4 2 0132 0132 2031 0132 1 2 1 2 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 -8 0 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.278734141760 0.951847929065 11 12 6 3 0132 0132 2031 0132 1 2 1 2 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 -1 0 0 1 -1 0 0 1 0 9 -9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.278734141760 0.951847929065 7 12 12 11 0132 1023 1230 0213 0 2 2 1 0 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 1 -2 1 8 0 -8 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 0.602036792111 0.803616212422 11 7 12 11 1023 0132 3120 3012 1 0 2 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 1 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 0.602036792111 0.803616212422 8 10 10 9 0132 1023 1230 0213 0 2 2 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 1 0 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 0.602036792111 0.803616212422 9 8 10 9 1023 0132 3120 3012 1 0 2 1 0 0 0 0 -1 0 0 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 -1 1 0 -1 0 -1 2 1 -9 0 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.602036792111 0.803616212422 ==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_1001_10'], 'c_1001_12' : negation(d['c_1001_10']), 'c_1001_5' : negation(d['c_0101_4']), 'c_1001_4' : negation(d['c_0101_4']), 'c_1001_7' : negation(d['c_0101_11']), 'c_1001_6' : d['c_0101_4'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_1001_10']), 'c_1001_2' : d['c_1001_10'], 'c_1001_9' : d['c_0101_10'], 'c_1001_8' : negation(d['c_0101_2']), 'c_1010_12' : negation(d['c_0101_2']), 'c_1010_11' : d['c_0110_10'], 'c_1010_10' : negation(d['c_0101_11']), 's_0_10' : negation(d['1']), 's_3_10' : 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_11'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : negation(d['1']), 's_2_3' : negation(d['1']), 's_2_4' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : negation(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' : negation(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_9' : d['c_0110_10'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_10'], 'c_1100_5' : negation(d['c_0101_4']), 'c_1100_4' : d['c_0101_7'], 'c_1100_7' : negation(d['c_1001_1']), 'c_1100_6' : negation(d['c_0101_7']), 'c_1100_1' : negation(d['c_0101_4']), 'c_1100_0' : negation(d['c_0011_3']), 'c_1100_3' : negation(d['c_0011_3']), 'c_1100_2' : negation(d['c_1001_1']), 's_3_11' : d['1'], 'c_1100_11' : d['c_0110_10'], 'c_1100_10' : negation(d['c_0101_10']), 's_0_11' : negation(d['1']), 'c_1010_7' : d['c_1001_10'], 'c_1010_6' : d['c_0011_3'], 'c_1010_5' : negation(d['c_0011_0']), 'c_1010_4' : d['c_1001_1'], 'c_1010_3' : negation(d['c_0101_1']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0101_4']), 'c_1010_0' : d['c_1001_10'], 'c_1010_9' : d['c_0110_10'], 'c_1010_8' : negation(d['c_1001_10']), 'c_1100_8' : negation(d['c_0011_3']), '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' : negation(d['1']), 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : negation(d['1']), 'c_1100_12' : negation(d['c_0101_10']), 's_1_7' : negation(d['1']), 's_1_6' : 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' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_10'], 'c_0011_8' : negation(d['c_0011_10']), 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_10']), '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_0110_11' : negation(d['c_0101_7']), 'c_0110_10' : d['c_0110_10'], 'c_0110_12' : d['c_0110_10'], 'c_0101_12' : d['c_0101_10'], 'c_0011_11' : d['c_0011_10'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : negation(d['c_0101_4']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_11'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_2'], 'c_0101_8' : negation(d['c_0101_7']), 's_1_12' : d['1'], 's_1_11' : negation(d['1']), 's_1_10' : negation(d['1']), 'c_0110_9' : d['c_0101_7'], 'c_0110_8' : d['c_0101_11'], '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_0101_4']), 'c_0110_5' : d['c_0101_11'], 'c_0110_4' : d['c_0101_11'], 'c_0110_7' : d['c_0101_2'], 'c_0110_6' : d['c_0101_2']})} 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_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_2, c_0101_4, c_0101_7, c_0110_10, c_1001_1, c_1001_10 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t + 3471223432/7882209*c_1001_10^6 - 1233762854/875801*c_1001_10^5 + 41035115323/15764418*c_1001_10^4 - 47592936709/15764418*c_1001_10^3 + 19427043995/7882209*c_1001_10^2 - 9784551673/7882209*c_1001_10 + 2520412313/7882209, c_0011_0 - 1, c_0011_10 + 9152/521*c_1001_10^6 - 28240/521*c_1001_10^5 + 47092/521*c_1001_10^4 - 49684/521*c_1001_10^3 + 36318/521*c_1001_10^2 - 16266/521*c_1001_10 + 2594/521, c_0011_3 + 3152/521*c_1001_10^6 - 11708/521*c_1001_10^5 + 22223/521*c_1001_10^4 - 26351/521*c_1001_10^3 + 20212/521*c_1001_10^2 - 9812/521*c_1001_10 + 1970/521, c_0101_0 - 1, c_0101_1 + 160/521*c_1001_10^6 - 552/521*c_1001_10^5 + 1858/521*c_1001_10^4 - 3255/521*c_1001_10^3 + 4271/521*c_1001_10^2 - 3312/521*c_1001_10 + 1142/521, c_0101_10 - 1, c_0101_11 - 6224/521*c_1001_10^6 + 18972/521*c_1001_10^5 - 32055/521*c_1001_10^4 + 35705/521*c_1001_10^3 - 27608/521*c_1001_10^2 + 13279/521*c_1001_10 - 2327/521, c_0101_2 + 6224/521*c_1001_10^6 - 18972/521*c_1001_10^5 + 32055/521*c_1001_10^4 - 35705/521*c_1001_10^3 + 27608/521*c_1001_10^2 - 13279/521*c_1001_10 + 2327/521, c_0101_4 - 1648/521*c_1001_10^6 + 4852/521*c_1001_10^5 - 8509/521*c_1001_10^4 + 10863/521*c_1001_10^3 - 9449/521*c_1001_10^2 + 5146/521*c_1001_10 - 1030/521, c_0101_7 + 2688/521*c_1001_10^6 - 12608/521*c_1001_10^5 + 23712/521*c_1001_10^4 - 24466/521*c_1001_10^3 + 12984/521*c_1001_10^2 - 2708/521*c_1001_10 + 117/521, c_0110_10 - 1424/521*c_1001_10^6 + 2412/521*c_1001_10^5 - 1323/521*c_1001_10^4 - 1509/521*c_1001_10^3 + 2053/521*c_1001_10^2 - 1679/521*c_1001_10 + 673/521, c_1001_1 - 3152/521*c_1001_10^6 + 11708/521*c_1001_10^5 - 22223/521*c_1001_10^4 + 26351/521*c_1001_10^3 - 20212/521*c_1001_10^2 + 9812/521*c_1001_10 - 1970/521, c_1001_10^7 - 15/4*c_1001_10^6 + 119/16*c_1001_10^5 - 19/2*c_1001_10^4 + 67/8*c_1001_10^3 - 79/16*c_1001_10^2 + 13/8*c_1001_10 - 3/16 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.240 seconds, Total memory usage: 32.09MB