Magma V2.19-8 Wed Aug 21 2013 01:07:57 on localhost [Seed = 1696824393] Type ? for help. Type -D to quit. Loading file "L14n36495__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n36495 geometric_solution 12.68808934 oriented_manifold CS_known 0.0000000000000004 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 1 0 1 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 1 7 -8 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 0.326660604219 0.683901060848 0 5 7 6 0132 0132 0132 0132 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 0 0 0 0 0 0 0 0 -1 1 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 0.510332171346 0.788433594863 8 0 5 9 0132 0132 2031 0132 1 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 0 0 0 0 -1 1 0 -7 0 0 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.735183112502 1.197131742973 10 11 6 0 0132 0132 0132 0132 1 0 0 1 0 0 1 -1 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 0 7 -7 -1 0 2 -1 0 0 0 0 -7 0 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.722063427227 1.150313622594 8 11 0 7 3012 0321 0132 0132 1 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 0 0 0 0 0 8 -8 -1 0 1 0 0 1 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.155465476722 1.071580539242 12 1 11 2 0132 0132 2103 1302 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 1 -1 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 0.735183112502 1.197131742973 8 10 1 3 2310 2103 0132 0132 1 0 1 0 0 1 0 -1 -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 7 0 -7 2 0 0 -2 7 0 0 -7 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.463414884355 0.600012916802 12 9 4 1 2031 1302 0132 0132 1 0 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 -7 8 -1 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 0.867401682181 0.913963536517 2 12 6 4 0132 0132 3201 1230 0 1 1 0 0 0 0 0 1 0 -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 -1 1 7 0 -7 0 0 -1 0 1 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.510332171346 0.788433594863 10 11 2 7 3201 0213 0132 2031 1 1 1 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 -7 7 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.176162624830 0.796361108620 3 6 12 9 0132 2103 1230 2310 1 0 1 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 0 0 0 0 0 0 0 0 1 0 -1 0 7 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.198459473799 0.821376740621 5 3 9 4 2103 0132 0213 0321 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 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 0.627494843509 0.606566907853 5 8 7 10 0132 0132 1302 3012 0 1 0 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 0 0 0 0 0 0 0 1 -2 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.326660604219 0.683901060848 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0101_3'], 'c_1001_11' : d['c_1001_0'], 'c_1001_10' : d['c_0011_6'], 'c_1001_12' : d['c_0101_1'], 'c_1001_5' : d['c_0011_10'], 'c_1001_4' : d['c_0011_7'], 'c_1001_7' : d['c_0110_9'], 'c_1001_6' : d['c_0011_10'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0110_9'], 'c_1001_2' : d['c_0011_7'], 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : negation(d['c_0101_0']), 'c_1010_12' : negation(d['c_0101_0']), 'c_1010_11' : d['c_0110_9'], 'c_1010_10' : negation(d['c_0110_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_0011_9'], 'c_0101_10' : d['c_0101_0'], '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' : 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' : 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' : d['1'], 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_0011_11' : d['c_0011_10'], 'c_1100_8' : negation(d['c_0011_6']), 'c_0011_12' : negation(d['c_0011_0']), 'c_1100_5' : d['c_0011_4'], 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : d['c_1100_0'], 'c_1100_6' : d['c_1100_0'], 'c_1100_1' : d['c_1100_0'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : negation(d['c_1001_1']), 's_3_11' : d['1'], 'c_1100_9' : negation(d['c_1001_1']), 'c_1100_11' : d['c_0011_7'], 'c_1100_10' : d['c_0011_9'], 's_3_10' : d['1'], 'c_1010_7' : d['c_1001_1'], 'c_1010_6' : d['c_0110_9'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_0110_9'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0011_10'], 'c_1010_0' : d['c_0011_7'], 'c_1010_9' : d['c_0011_7'], 'c_1010_8' : d['c_0101_1'], '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_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : negation(d['c_0011_6']), 's_1_7' : d['1'], 's_1_6' : 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' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_9'], 'c_0011_8' : d['c_0011_0'], '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' : negation(d['c_0011_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0011_4']), 'c_0110_10' : d['c_0101_3'], 'c_0110_12' : d['c_0011_9'], 'c_0101_12' : negation(d['c_0011_7']), 'c_0101_7' : negation(d['c_0011_6']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0011_9'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_4'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0101_3']), 'c_0101_8' : negation(d['c_0101_3']), 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0110_9'], 'c_0110_8' : d['c_0011_4'], '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_3']), 'c_0110_5' : negation(d['c_0011_7']), 'c_0110_4' : negation(d['c_0011_6']), 'c_0110_7' : d['c_0101_1'], 'c_0011_10' : d['c_0011_10']})} 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_4, c_0011_6, c_0011_7, c_0011_9, c_0101_0, c_0101_1, c_0101_3, c_0110_9, c_1001_0, c_1001_1, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t - 56033237476959232/21018125*c_1100_0^8 - 37988839191129856/21018125*c_1100_0^7 + 27250247556310208/21018125*c_1100_0^6 - 14220765284481824/21018125*c_1100_0^5 - 10357157277587568/21018125*c_1100_0^4 - 1880458192688832/21018125*c_1100_0^3 - 6431104892781192/21018125*c_1100_0^2 + 5716352106691536/21018125*c_1100_0 - 3038329758733328/21018125, c_0011_0 - 1, c_0011_10 - 496384/33629*c_1100_0^8 - 135232/33629*c_1100_0^7 + 672464/33629*c_1100_0^6 + 343928/33629*c_1100_0^5 + 68196/33629*c_1100_0^4 + 42328/33629*c_1100_0^3 + 30602/33629*c_1100_0^2 + 83449/33629*c_1100_0 + 21325/33629, c_0011_4 + 36096/33629*c_1100_0^8 + 376128/33629*c_1100_0^7 + 3824/33629*c_1100_0^6 - 149744/33629*c_1100_0^5 + 61848/33629*c_1100_0^4 - 27012/33629*c_1100_0^3 + 64998/33629*c_1100_0^2 - 13075/33629*c_1100_0 - 4898/33629, c_0011_6 - c_1100_0, c_0011_7 + 288256/33629*c_1100_0^8 + 256128/33629*c_1100_0^7 - 625824/33629*c_1100_0^6 - 390640/33629*c_1100_0^5 + 41704/33629*c_1100_0^4 - 23956/33629*c_1100_0^3 + 45394/33629*c_1100_0^2 - 101791/33629*c_1100_0 - 3816/33629, c_0011_9 + 1318144/33629*c_1100_0^8 + 2104000/33629*c_1100_0^7 + 422032/33629*c_1100_0^6 + 116488/33629*c_1100_0^5 + 200740/33629*c_1100_0^4 + 18160/33629*c_1100_0^3 + 258530/33629*c_1100_0^2 - 51979/33629*c_1100_0 + 12416/33629, c_0101_0 - 1, c_0101_1 + 474112/33629*c_1100_0^8 + 910592/33629*c_1100_0^7 + 905024/33629*c_1100_0^6 + 338048/33629*c_1100_0^5 + 131192/33629*c_1100_0^4 + 177544/33629*c_1100_0^3 + 6568/33629*c_1100_0^2 + 89186/33629*c_1100_0 + 3878/33629, c_0101_3 + 496384/33629*c_1100_0^8 + 135232/33629*c_1100_0^7 - 672464/33629*c_1100_0^6 - 343928/33629*c_1100_0^5 - 68196/33629*c_1100_0^4 - 42328/33629*c_1100_0^3 - 30602/33629*c_1100_0^2 - 83449/33629*c_1100_0 - 21325/33629, c_0110_9 + 864000/33629*c_1100_0^8 + 943552/33629*c_1100_0^7 + 366288/33629*c_1100_0^6 + 308080/33629*c_1100_0^5 + 118072/33629*c_1100_0^4 + 149084/33629*c_1100_0^3 + 63248/33629*c_1100_0^2 + 18316/33629*c_1100_0 + 7975/33629, c_1001_0 + 1318144/33629*c_1100_0^8 + 2104000/33629*c_1100_0^7 + 422032/33629*c_1100_0^6 + 116488/33629*c_1100_0^5 + 200740/33629*c_1100_0^4 + 18160/33629*c_1100_0^3 + 258530/33629*c_1100_0^2 - 51979/33629*c_1100_0 + 12416/33629, c_1001_1 - 36096/33629*c_1100_0^8 - 376128/33629*c_1100_0^7 - 3824/33629*c_1100_0^6 + 149744/33629*c_1100_0^5 - 61848/33629*c_1100_0^4 + 27012/33629*c_1100_0^3 - 64998/33629*c_1100_0^2 + 13075/33629*c_1100_0 + 4898/33629, c_1100_0^9 + 3/4*c_1100_0^8 - 7/16*c_1100_0^7 + 7/32*c_1100_0^6 + 13/64*c_1100_0^5 + 3/64*c_1100_0^4 + 15/128*c_1100_0^3 - 3/32*c_1100_0^2 + 3/64*c_1100_0 + 1/256 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.300 Total time: 0.510 seconds, Total memory usage: 32.09MB