Magma V2.19-8 Tue Aug 20 2013 23:52:27 on localhost [Seed = 947802906] Type ? for help. Type -D to quit. Loading file "K12n285__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K12n285 geometric_solution 12.06913168 oriented_manifold CS_known -0.0000000000000009 1 0 torus 0.000000000000 0.000000000000 13 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.972756363976 0.616416667300 0 2 6 5 0132 0213 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 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 0.702177749186 0.443807375121 7 0 1 8 0132 0132 0213 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 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 0.538717047876 0.788705239184 5 9 10 0 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 0 0 0 0 1 -1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.832269668550 0.512355918960 11 6 0 12 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 -1 1 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 0.555765847132 0.898644116033 3 7 1 11 0132 0321 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 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 1.143550802052 0.557021119951 10 4 8 1 1302 0132 2103 0132 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 1 -1 0 0 0 0 0 -1 0 0 1 3 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.502196823550 0.804921529035 2 9 12 5 0132 1023 0213 0321 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 1 -1 -1 1 0 0 0 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.883711226478 1.061314253702 6 9 2 12 2103 0213 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 0 0 1 0 0 -1 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.147454897104 0.742613823359 7 3 8 11 1023 0132 0213 2031 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 -1 1 0 0 -4 1 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.676244348532 0.332158685126 12 6 11 3 0132 2031 2031 0132 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 1 0 -1 0 0 0 0 4 -3 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.493770888590 1.011422376172 4 9 5 10 0132 1302 0132 1302 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.502196823550 0.804921529035 10 7 4 8 0132 0213 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 1 -1 0 0 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.705927234670 0.792177852347 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0110_9'], 'c_1001_10' : negation(d['c_0101_1']), 'c_1001_12' : d['c_0011_8'], 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : d['c_1001_1'], 'c_1001_7' : d['c_0011_8'], 'c_1001_6' : d['c_0011_8'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0011_11'], 'c_1001_2' : d['c_1001_1'], 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : d['c_1001_0'], 'c_1010_12' : d['c_1001_5'], 'c_1010_11' : d['c_1010_11'], 'c_1010_10' : d['c_0011_11'], 's_0_10' : 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' : 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_11'], 'c_1100_8' : d['c_1001_5'], 'c_0011_12' : negation(d['c_0011_10']), 'c_1100_5' : d['c_0101_10'], 'c_1100_4' : negation(d['c_1010_11']), 'c_1100_7' : d['c_1001_5'], 'c_1100_6' : d['c_0101_10'], 'c_1100_1' : d['c_0101_10'], 'c_1100_0' : negation(d['c_1010_11']), 'c_1100_3' : negation(d['c_1010_11']), 'c_1100_2' : d['c_1001_5'], 's_3_11' : d['1'], 'c_1100_9' : negation(d['c_1010_11']), 'c_1100_11' : d['c_0101_10'], 'c_1100_10' : negation(d['c_1010_11']), 's_0_11' : d['1'], 'c_1010_7' : d['c_0110_9'], 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : d['c_0110_9'], 'c_1010_4' : d['c_0011_8'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_5'], 'c_1010_0' : d['c_1001_1'], 'c_1010_9' : d['c_0011_11'], 'c_1010_8' : negation(d['c_1010_11']), '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_1010_11']), '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_0'], 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_11']), 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : d['c_0011_11'], '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_1'], 'c_0110_10' : d['c_0101_11'], 'c_0110_12' : d['c_0101_10'], 'c_0101_12' : d['c_0101_11'], 'c_0101_7' : negation(d['c_0011_10']), 'c_0101_6' : negation(d['c_0011_10']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_11'], 'c_0101_2' : negation(d['c_0011_0']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_8'], 'c_0101_8' : negation(d['c_0011_10']), 'c_0011_10' : d['c_0011_10'], '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' : negation(d['c_0101_10']), '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_0011_10']), 'c_0110_5' : d['c_0101_11'], 'c_0110_4' : d['c_0101_11'], 'c_0110_7' : negation(d['c_0011_0']), 'c_0110_6' : d['c_0101_1']})} 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_11, c_0011_8, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0110_9, c_1001_0, c_1001_1, c_1001_5, c_1010_11 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 69757109/11834245*c_1010_11^9 + 331085803/11834245*c_1010_11^8 - 20554747/275215*c_1010_11^7 + 634180239/11834245*c_1010_11^6 - 19271671/622855*c_1010_11^5 - 54083619/622855*c_1010_11^4 - 29185829/11834245*c_1010_11^3 - 296418504/11834245*c_1010_11^2 - 735127648/11834245*c_1010_11 - 73734461/2366849, c_0011_0 - 1, c_0011_10 - 217/2897*c_1010_11^9 + 2304/2897*c_1010_11^8 - 8709/2897*c_1010_11^7 + 16403/2897*c_1010_11^6 - 6995/2897*c_1010_11^5 - 6682/2897*c_1010_11^4 + 14630/2897*c_1010_11^3 - 2238/2897*c_1010_11^2 - 7973/2897*c_1010_11 - 864/2897, c_0011_11 - 190/2897*c_1010_11^9 + 442/2897*c_1010_11^8 - 2312/2897*c_1010_11^7 + 4296/2897*c_1010_11^6 - 14562/2897*c_1010_11^5 - 8801/2897*c_1010_11^4 - 367/2897*c_1010_11^3 - 19969/2897*c_1010_11^2 - 17541/2897*c_1010_11 - 3787/2897, c_0011_8 - 655/2897*c_1010_11^9 + 2896/2897*c_1010_11^8 - 6903/2897*c_1010_11^7 + 2612/2897*c_1010_11^6 - 1409/2897*c_1010_11^5 - 4496/2897*c_1010_11^4 + 2013/2897*c_1010_11^3 - 3658/2897*c_1010_11^2 + 3035/2897*c_1010_11 + 4708/2897, c_0101_0 - 1315/2897*c_1010_11^9 + 3669/2897*c_1010_11^8 - 4261/2897*c_1010_11^7 - 17534/2897*c_1010_11^6 + 4270/2897*c_1010_11^5 - 5488/2897*c_1010_11^4 - 21523/2897*c_1010_11^3 - 6393/2897*c_1010_11^2 + 9344/2897*c_1010_11 + 6953/2897, c_0101_1 + 901/2897*c_1010_11^9 - 5054/2897*c_1010_11^8 + 12397/2897*c_1010_11^7 - 6375/2897*c_1010_11^6 - 14745/2897*c_1010_11^5 + 12872/2897*c_1010_11^4 - 6356/2897*c_1010_11^3 - 19157/2897*c_1010_11^2 - 6519/2897*c_1010_11 + 1171/2897, c_0101_10 - 259/2897*c_1010_11^9 + 694/2897*c_1010_11^8 - 956/2897*c_1010_11^7 - 2103/2897*c_1010_11^6 - 4237/2897*c_1010_11^5 + 5949/2897*c_1010_11^4 - 6462/2897*c_1010_11^3 - 4914/2897*c_1010_11^2 + 8520/2897*c_1010_11 + 3361/2897, c_0101_11 + 190/2897*c_1010_11^9 - 442/2897*c_1010_11^8 + 2312/2897*c_1010_11^7 - 4296/2897*c_1010_11^6 + 14562/2897*c_1010_11^5 + 8801/2897*c_1010_11^4 + 367/2897*c_1010_11^3 + 19969/2897*c_1010_11^2 + 17541/2897*c_1010_11 + 3787/2897, c_0110_9 + 655/2897*c_1010_11^9 - 2896/2897*c_1010_11^8 + 6903/2897*c_1010_11^7 - 2612/2897*c_1010_11^6 + 1409/2897*c_1010_11^5 + 4496/2897*c_1010_11^4 - 2013/2897*c_1010_11^3 + 3658/2897*c_1010_11^2 - 3035/2897*c_1010_11 - 4708/2897, c_1001_0 - 477/2897*c_1010_11^9 + 1994/2897*c_1010_11^8 - 4859/2897*c_1010_11^7 + 478/2897*c_1010_11^6 + 2353/2897*c_1010_11^5 - 15676/2897*c_1010_11^4 - 4474/2897*c_1010_11^3 - 3491/2897*c_1010_11^2 - 14442/2897*c_1010_11 - 10163/2897, c_1001_1 + 259/2897*c_1010_11^9 - 694/2897*c_1010_11^8 + 956/2897*c_1010_11^7 + 2103/2897*c_1010_11^6 + 4237/2897*c_1010_11^5 - 5949/2897*c_1010_11^4 + 6462/2897*c_1010_11^3 + 4914/2897*c_1010_11^2 - 8520/2897*c_1010_11 - 3361/2897, c_1001_5 - 1913/2897*c_1010_11^9 + 8750/2897*c_1010_11^8 - 21479/2897*c_1010_11^7 + 8124/2897*c_1010_11^6 + 4912/2897*c_1010_11^5 - 33127/2897*c_1010_11^4 - 2887/2897*c_1010_11^3 + 1444/2897*c_1010_11^2 - 16833/2897*c_1010_11 - 8351/2897, c_1010_11^10 - 4*c_1010_11^9 + 9*c_1010_11^8 + c_1010_11^7 - 3*c_1010_11^6 + 19*c_1010_11^5 + 13*c_1010_11^4 + 3*c_1010_11^3 + 14*c_1010_11^2 + 15*c_1010_11 + 5 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 1.690 Total time: 1.899 seconds, Total memory usage: 64.12MB