Magma V2.19-8 Tue Aug 20 2013 23:57:32 on localhost [Seed = 3203978862] Type ? for help. Type -D to quit. Loading file "L14n32939__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n32939 geometric_solution 11.24269655 oriented_manifold CS_known 0.0000000000000000 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -3 2 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 0.400201216869 1.029385877565 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 -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 0.354826884434 0.689935910639 5 0 8 6 2310 0132 0132 2310 1 0 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 0 0 0 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 0.671911435356 0.843899820390 5 9 10 0 0132 0132 0132 0132 1 0 0 1 0 0 1 -1 -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 0 -3 3 0 0 -1 1 -1 1 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.917104660475 0.913476282801 11 9 0 7 0132 0321 0132 0132 1 0 1 1 0 0 1 -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 -2 2 0 0 0 0 -3 0 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.416651193618 0.564878738388 3 1 2 9 0132 0132 3201 2310 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 0 0 0 0 0 0 0 1 0 -1 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 0.520026763092 0.563285905787 2 11 1 10 3201 0321 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.723077556721 0.773245444553 8 11 4 1 2103 3120 0132 0132 1 0 1 1 0 -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 3 -2 -1 1 0 0 -1 -1 0 0 1 3 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.154327463704 1.146528421640 11 10 7 2 2103 3120 2103 0132 1 0 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 1 -1 0 0 -1 1 0 0 0 0 0 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.884687779077 0.856676676193 5 3 10 4 3201 0132 3201 0321 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 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.127821864461 0.866285393505 9 8 6 3 2310 3120 0132 0132 1 0 1 1 0 1 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 0 0 0 0 -3 0 3 -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 0.585567964098 0.461806676675 4 7 8 6 0132 3120 2103 0321 1 0 1 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 0 0 0 0 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.154327463704 1.146528421640 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_8'], 'c_1001_10' : negation(d['c_0011_7']), 'c_1001_5' : negation(d['c_0101_2']), 'c_1001_4' : negation(d['c_0011_10']), 'c_1001_7' : negation(d['c_0011_8']), 'c_1001_6' : negation(d['c_0101_2']), 'c_1001_1' : negation(d['c_0011_11']), 'c_1001_0' : negation(d['c_0101_10']), 'c_1001_3' : negation(d['c_0011_8']), 'c_1001_2' : negation(d['c_0011_10']), 'c_1001_9' : negation(d['c_0101_10']), 'c_1001_8' : d['c_0011_7'], 'c_1010_11' : negation(d['c_0011_7']), 'c_1010_10' : negation(d['c_0011_8']), 's_3_11' : d['1'], 's_3_10' : 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_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_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_0011_0'], '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' : d['c_0011_6'], 's_0_10' : d['1'], 'c_1100_11' : negation(d['c_0101_2']), 'c_1100_10' : d['c_1100_0'], 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0011_11']), 'c_1010_6' : negation(d['c_0011_7']), 'c_1010_5' : negation(d['c_0011_11']), 'c_1010_4' : negation(d['c_0011_8']), 'c_1010_3' : negation(d['c_0101_10']), 'c_1010_2' : negation(d['c_0101_10']), 'c_1010_1' : negation(d['c_0101_2']), 'c_1010_0' : negation(d['c_0011_10']), 'c_1010_9' : negation(d['c_0011_8']), 'c_1010_8' : negation(d['c_0011_10']), 'c_1100_8' : d['c_0011_6'], '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'], '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_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_0']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0011_6']), 'c_0110_10' : d['c_0101_3'], 'c_0110_0' : negation(d['c_0011_6']), 'c_0101_7' : d['c_0101_11'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : negation(d['c_0011_6']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_6']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0101_3']), 'c_0101_8' : d['c_0101_11'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_11'], 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_0011_10']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_0']), 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : d['c_0101_11'], 'c_0110_7' : negation(d['c_0011_6']), 'c_0110_6' : d['c_0101_10']})} 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_0011_6, c_0011_7, c_0011_8, c_0101_0, c_0101_10, c_0101_11, c_0101_2, c_0101_3, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 3293/176*c_1100_0^5 + 27047/352*c_1100_0^4 + 31177/352*c_1100_0^3 - 11687/22*c_1100_0^2 + 24217/88*c_1100_0 - 57461/352, c_0011_0 - 1, c_0011_10 - c_1100_0^2 + c_1100_0, c_0011_11 - c_1100_0^4 + 4*c_1100_0^3 - 3*c_1100_0^2 + 2*c_1100_0, c_0011_6 + 1/2*c_1100_0^5 - 3*c_1100_0^4 + 11/2*c_1100_0^3 - 4*c_1100_0^2 + 5/2*c_1100_0 - 1/2, c_0011_7 - c_1100_0^4 + 4*c_1100_0^3 - 2*c_1100_0^2 + c_1100_0, c_0011_8 - c_1100_0^4 + 4*c_1100_0^3 - 4*c_1100_0^2 + 2*c_1100_0 - 1, c_0101_0 - 1, c_0101_10 + 1/2*c_1100_0^5 - 3*c_1100_0^4 + 11/2*c_1100_0^3 - 3*c_1100_0^2 + 1/2*c_1100_0 - 1/2, c_0101_11 + 1/2*c_1100_0^5 - 3*c_1100_0^4 + 9/2*c_1100_0^3 + 1/2*c_1100_0 + 1/2, c_0101_2 + 1/2*c_1100_0^5 - 3*c_1100_0^4 + 9/2*c_1100_0^3 - 1/2*c_1100_0 + 1/2, c_0101_3 + 1/2*c_1100_0^5 - 4*c_1100_0^4 + 19/2*c_1100_0^3 - 6*c_1100_0^2 + 3/2*c_1100_0 - 1/2, c_1100_0^6 - 7*c_1100_0^5 + 15*c_1100_0^4 - 11*c_1100_0^3 + 7*c_1100_0^2 - 2*c_1100_0 + 1 ], Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_6, c_0011_7, c_0011_8, c_0101_0, c_0101_10, c_0101_11, c_0101_2, c_0101_3, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 317946529/40013568*c_1100_0^9 - 38161175/6668928*c_1100_0^8 + 629296753/6668928*c_1100_0^7 - 858463241/10003392*c_1100_0^6 - 1591080931/13337856*c_1100_0^5 - 471756755/6668928*c_1100_0^4 + 611808163/10003392*c_1100_0^3 + 1069103/211712*c_1100_0^2 - 121987391/2858112*c_1100_0 + 825427495/40013568, c_0011_0 - 1, c_0011_10 + 28741/11578*c_1100_0^9 - 9374/5789*c_1100_0^8 + 169706/5789*c_1100_0^7 - 142540/5789*c_1100_0^6 - 460511/11578*c_1100_0^5 - 128679/5789*c_1100_0^4 + 90336/5789*c_1100_0^3 + 3593/1654*c_1100_0^2 - 12637/827*c_1100_0 + 80103/11578, c_0011_11 + 9993/11578*c_1100_0^9 - 2740/5789*c_1100_0^8 + 58647/5789*c_1100_0^7 - 43439/5789*c_1100_0^6 - 171135/11578*c_1100_0^5 - 53369/5789*c_1100_0^4 + 26946/5789*c_1100_0^3 + 1813/1654*c_1100_0^2 - 3716/827*c_1100_0 + 28741/11578, c_0011_6 + 28741/11578*c_1100_0^9 - 9374/5789*c_1100_0^8 + 169706/5789*c_1100_0^7 - 142540/5789*c_1100_0^6 - 460511/11578*c_1100_0^5 - 128679/5789*c_1100_0^4 + 90336/5789*c_1100_0^3 + 3593/1654*c_1100_0^2 - 13464/827*c_1100_0 + 80103/11578, c_0011_7 - 9993/11578*c_1100_0^9 + 2740/5789*c_1100_0^8 - 58647/5789*c_1100_0^7 + 43439/5789*c_1100_0^6 + 171135/11578*c_1100_0^5 + 53369/5789*c_1100_0^4 - 26946/5789*c_1100_0^3 - 1813/1654*c_1100_0^2 + 3716/827*c_1100_0 - 28741/11578, c_0011_8 + 17163/11578*c_1100_0^9 - 3585/5789*c_1100_0^8 + 100238/5789*c_1100_0^7 - 61494/5789*c_1100_0^6 - 309997/11578*c_1100_0^5 - 111312/5789*c_1100_0^4 + 32446/5789*c_1100_0^3 + 5247/1654*c_1100_0^2 - 6848/827*c_1100_0 + 33791/11578, c_0101_0 - 1, c_0101_10 + 1, c_0101_11 - 11211/11578*c_1100_0^9 + 2278/5789*c_1100_0^8 - 65969/5789*c_1100_0^7 + 39288/5789*c_1100_0^6 + 192331/11578*c_1100_0^5 + 73235/5789*c_1100_0^4 - 3489/5789*c_1100_0^3 - 233/1654*c_1100_0^2 + 4374/827*c_1100_0 - 22623/11578, c_0101_2 + c_1100_0, c_0101_3 - 17163/11578*c_1100_0^9 + 3585/5789*c_1100_0^8 - 100238/5789*c_1100_0^7 + 61494/5789*c_1100_0^6 + 309997/11578*c_1100_0^5 + 111312/5789*c_1100_0^4 - 32446/5789*c_1100_0^3 - 5247/1654*c_1100_0^2 + 7675/827*c_1100_0 - 33791/11578, c_1100_0^10 - c_1100_0^9 + 12*c_1100_0^8 - 14*c_1100_0^7 - 13*c_1100_0^6 - 3*c_1100_0^5 + 10*c_1100_0^4 - c_1100_0^3 - 7*c_1100_0^2 + 5*c_1100_0 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.080 Total time: 0.290 seconds, Total memory usage: 32.09MB