Magma V2.19-8 Tue Aug 20 2013 17:57:19 on localhost [Seed = 2766475431] Type ? for help. Type -D to quit. Loading file "9^2_29__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation 9^2_29 geometric_solution 11.29496914 oriented_manifold CS_known 0.0000000000000004 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 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 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.644132942715 2.094384228648 0 5 6 6 0132 0132 2103 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 0 0 0 -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 0.675164031202 1.011550248346 3 0 5 6 1023 0132 1023 0213 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.277497473663 0.734148379683 4 2 7 0 0132 1023 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.090049485519 0.835436660554 3 5 0 8 0132 1023 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -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 0.366819216790 0.221836082139 4 1 2 9 1023 0132 1023 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 0 0 0 0 0 0 0 0 -9 0 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.913499489097 0.962994462795 1 7 1 2 2103 0132 0132 0213 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 -1 1 0 -1 0 1 9 -8 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.543524447292 0.683904854771 10 6 11 3 0132 0132 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 -1 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 0 0 0 0 -8 8 0 0 8 1 -9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.653924161540 0.853559401753 10 10 4 11 2103 1302 0132 0132 0 0 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 1 -1 0 -1 0 1 0 0 1 0 -1 8 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.546512975912 0.937872700339 11 10 5 11 0132 2103 0132 2031 0 0 1 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 -1 -1 0 2 9 0 -9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.417861920622 0.864195152332 7 9 8 8 0132 2103 2103 2031 1 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 1 0 -1 0 0 1 -1 -8 0 0 8 8 0 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.546512975912 0.937872700339 9 9 8 7 0132 1302 0132 0132 0 0 0 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 0 0 0 0 0 0 0 -9 0 0 9 1 -2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.546512975912 0.937872700339 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_11'], 'c_1001_10' : negation(d['c_0011_11']), 'c_1001_5' : d['c_0101_2'], 'c_1001_4' : d['c_0101_5'], 'c_1001_7' : d['c_1001_7'], 'c_1001_6' : d['c_0101_2'], 'c_1001_1' : d['c_0011_10'], 'c_1001_0' : d['c_0110_2'], 'c_1001_3' : d['c_0101_2'], 'c_1001_2' : d['c_0101_5'], 'c_1001_9' : d['c_0011_10'], 'c_1001_8' : d['c_0101_7'], 'c_1010_11' : d['c_1001_7'], 'c_1010_10' : negation(d['c_0011_11']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : negation(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' : d['1'], 's_2_3' : negation(d['1']), 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : negation(d['1']), 's_2_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : d['1'], 's_0_9' : negation(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' : d['1'], 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_0011_11' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : negation(d['c_1001_7']), 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : d['c_1100_0'], 'c_1100_6' : d['c_0110_2'], 'c_1100_1' : d['c_0110_2'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_1001_7'], 's_3_11' : negation(d['1']), 'c_1100_11' : d['c_1100_0'], 'c_1100_10' : negation(d['c_0101_11']), 's_0_11' : negation(d['1']), 'c_1010_7' : d['c_0101_2'], 'c_1010_6' : d['c_1001_7'], 'c_1010_5' : d['c_0011_10'], 'c_1010_4' : d['c_0101_7'], 'c_1010_3' : d['c_0110_2'], 'c_1010_2' : d['c_0110_2'], 'c_1010_1' : d['c_0101_2'], 'c_1010_0' : d['c_0101_5'], 'c_1010_9' : d['c_0011_11'], 'c_1010_8' : d['c_0101_11'], 'c_1100_8' : d['c_1100_0'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : negation(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' : 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' : 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' : negation(d['c_0011_11']), 'c_0011_8' : negation(d['c_0011_11']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_10']), 'c_0011_6' : d['c_0011_10'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_0']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_7'], 'c_0110_10' : d['c_0101_7'], 'c_0110_0' : d['c_0101_0'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_10'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_0'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_7'], 'c_0101_8' : d['c_0101_10'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_11'], 'c_0110_8' : d['c_0101_11'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_1001_7']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0110_2'], 'c_0110_5' : d['c_0101_7'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0101_10'], 'c_0110_6' : negation(d['c_0110_2'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0101_0, c_0101_10, c_0101_11, c_0101_2, c_0101_5, c_0101_7, c_0110_2, c_1001_7, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 5 Groebner basis: [ t - 3412141/20850478*c_1100_0^4 - 55185/359491*c_1100_0^3 + 65851457/20850478*c_1100_0^2 - 85769665/10425239*c_1100_0 - 232709596/10425239, c_0011_0 - 1, c_0011_10 + c_1100_0, c_0011_11 + 1, c_0101_0 - 56/2971*c_1100_0^4 + 433/2971*c_1100_0^3 - 776/2971*c_1100_0^2 - 682/2971*c_1100_0 + 1555/2971, c_0101_10 + 22/2971*c_1100_0^4 - 64/2971*c_1100_0^3 - 544/2971*c_1100_0^2 + 1329/2971*c_1100_0 + 2254/2971, c_0101_11 + 1, c_0101_2 - 166/2971*c_1100_0^4 + 753/2971*c_1100_0^3 - 1027/2971*c_1100_0^2 - 1385/2971*c_1100_0 - 802/2971, c_0101_5 - 354/2971*c_1100_0^4 + 1570/2971*c_1100_0^3 - 1510/2971*c_1100_0^2 - 7070/2971*c_1100_0 - 887/2971, c_0101_7 + 22/2971*c_1100_0^4 - 64/2971*c_1100_0^3 - 544/2971*c_1100_0^2 - 1642/2971*c_1100_0 + 2254/2971, c_0110_2 + 121/2971*c_1100_0^4 - 352/2971*c_1100_0^3 - 21/2971*c_1100_0^2 + 2853/2971*c_1100_0 + 513/2971, c_1001_7 - 22/2971*c_1100_0^4 + 64/2971*c_1100_0^3 + 544/2971*c_1100_0^2 - 1329/2971*c_1100_0 - 2254/2971, c_1100_0^5 - 4*c_1100_0^4 + 3*c_1100_0^3 + 26*c_1100_0^2 + 12*c_1100_0 + 11 ], Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0101_0, c_0101_10, c_0101_11, c_0101_2, c_0101_5, c_0101_7, c_0110_2, c_1001_7, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t + 16365265117/69840896*c_1100_0^6 - 262838038269/558727168*c_1100_0^5 - 3984104247/34920448*c_1100_0^4 + 140358114725/558727168*c_1100_0^3 + 4324439799/16433152*c_1100_0^2 + 69642394901/139681792*c_1100_0 + 278688615691/558727168, c_0011_0 - 1, c_0011_10 + c_1100_0, c_0011_11 + 1, c_0101_0 - 5152/17051*c_1100_0^6 + 12772/17051*c_1100_0^5 - 692/17051*c_1100_0^4 - 10105/17051*c_1100_0^3 + 412/1003*c_1100_0^2 - 14690/17051*c_1100_0 - 9225/17051, c_0101_10 - 7648/17051*c_1100_0^6 + 18860/17051*c_1100_0^5 - 14222/17051*c_1100_0^4 + 7732/17051*c_1100_0^3 - 328/1003*c_1100_0^2 - 16605/17051*c_1100_0 - 13850/17051, c_0101_11 - 1, c_0101_2 + 9200/17051*c_1100_0^6 - 18222/17051*c_1100_0^5 - 5642/17051*c_1100_0^4 + 3931/17051*c_1100_0^3 + 1363/1003*c_1100_0^2 + 25659/17051*c_1100_0 + 15112/17051, c_0101_5 - 9304/17051*c_1100_0^6 + 21819/17051*c_1100_0^5 + 4326/17051*c_1100_0^4 - 28221/17051*c_1100_0^3 + 32/1003*c_1100_0^2 - 12658/17051*c_1100_0 - 5818/17051, c_0101_7 - 7648/17051*c_1100_0^6 + 18860/17051*c_1100_0^5 - 14222/17051*c_1100_0^4 + 7732/17051*c_1100_0^3 - 328/1003*c_1100_0^2 + 446/17051*c_1100_0 - 13850/17051, c_0110_2 + 4872/17051*c_1100_0^6 - 3705/17051*c_1100_0^5 - 16353/17051*c_1100_0^4 + 13993/17051*c_1100_0^3 + 303/1003*c_1100_0^2 + 11733/17051*c_1100_0 + 9018/17051, c_1001_7 + 7648/17051*c_1100_0^6 - 18860/17051*c_1100_0^5 + 14222/17051*c_1100_0^4 - 7732/17051*c_1100_0^3 + 328/1003*c_1100_0^2 + 16605/17051*c_1100_0 + 13850/17051, c_1100_0^7 - 17/8*c_1100_0^6 - 1/4*c_1100_0^5 + 9/8*c_1100_0^4 + c_1100_0^3 + 2*c_1100_0^2 + 15/8*c_1100_0 - 1/4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.240 seconds, Total memory usage: 32.09MB