Magma V2.19-8 Tue Aug 20 2013 23:39:04 on localhost [Seed = 1899435289] Type ? for help. Type -D to quit. Loading file "K12n750__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K12n750 geometric_solution 10.52452247 oriented_manifold CS_known 0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 11 1 2 3 4 0132 0132 0132 0132 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 -1 0 1 0 0 -8 8 0 8 0 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.790588013011 0.891650934655 0 5 7 6 0132 0132 0132 0132 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 -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 0.619229207864 0.994925749899 8 0 9 5 0132 0132 0132 0132 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 1 0 -1 0 0 0 0 0 0 0 0 8 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.466599737708 0.409039087834 8 4 10 0 3201 2310 0132 0132 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 0 0 0 -8 0 0 8 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.084306205104 0.699125427576 6 5 0 3 1302 1302 0132 3201 0 0 0 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 8 0 -8 0 0 0 0 0 -1 -7 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.790588013011 0.891650934655 9 1 2 4 1023 0132 0132 2031 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 -1 1 0 0 0 0 0 -7 0 0 7 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.549101244317 0.724466444621 7 4 1 10 0321 2031 0132 3120 0 0 0 0 0 0 0 0 -1 0 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 7 0 -7 0 0 1 0 -1 7 -8 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.211858320787 1.062361124662 6 9 8 1 0321 3012 3012 0132 0 0 0 0 0 0 0 0 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 -1 0 1 -7 0 0 7 0 0 0 0 -7 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.335521182799 0.876691887345 2 7 10 3 0132 1230 1023 2310 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 0 0 0 -8 0 0 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.790588013011 0.891650934655 7 5 10 2 1230 1023 0213 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 0 0 0 0 0 0 0 -7 7 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.549101244317 0.724466444621 6 9 8 3 3120 0213 1023 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 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.790588013011 0.891650934655 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : d['c_0101_5'], 'c_1001_5' : negation(d['c_0110_4']), 'c_1001_4' : d['c_0110_5'], 'c_1001_7' : negation(d['c_0011_0']), 'c_1001_6' : negation(d['c_0110_4']), 'c_1001_1' : negation(d['c_0011_10']), 'c_1001_0' : negation(d['c_0110_4']), 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : d['c_0110_5'], 'c_1001_9' : d['c_0101_5'], 'c_1001_8' : d['c_0101_10'], 'c_1010_10' : d['c_1001_3'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : negation(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_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_1100_9' : d['c_1001_3'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_1001_3'], 'c_1100_4' : negation(d['c_0011_3']), 'c_1100_7' : negation(d['c_0101_10']), 'c_1100_6' : negation(d['c_0101_10']), 'c_1100_1' : negation(d['c_0101_10']), 'c_1100_0' : negation(d['c_0011_3']), 'c_1100_3' : negation(d['c_0011_3']), 'c_1100_2' : d['c_1001_3'], 'c_1100_10' : negation(d['c_0011_3']), 'c_1010_7' : negation(d['c_0011_10']), 'c_1010_6' : negation(d['c_0011_10']), 'c_1010_5' : negation(d['c_0011_10']), 'c_1010_4' : negation(d['c_1001_3']), 'c_1010_3' : negation(d['c_0110_4']), 'c_1010_2' : negation(d['c_0110_4']), 'c_1010_1' : negation(d['c_0110_4']), 'c_1010_0' : d['c_0110_5'], 'c_1010_9' : d['c_0110_5'], 'c_1010_8' : negation(d['c_0101_0']), 'c_1100_8' : d['c_0011_3'], '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' : negation(d['1']), 's_3_6' : d['1'], 's_3_9' : negation(d['1']), 's_3_8' : d['1'], 's_1_7' : negation(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' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(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_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), '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' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_10' : negation(d['c_0011_7']), 'c_0101_7' : negation(d['c_0101_0']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_6']), 'c_0101_3' : negation(d['c_0011_7']), 'c_0101_2' : d['c_0011_7'], 'c_0101_1' : negation(d['c_0011_6']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_10'], 'c_0101_8' : d['c_0101_5'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_7'], 'c_0110_8' : d['c_0011_7'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_6']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_5'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0110_4'], 'c_0110_7' : negation(d['c_0011_6']), 'c_0110_6' : negation(d['c_0011_7'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0011_6, c_0011_7, c_0101_0, c_0101_10, c_0101_5, c_0110_4, c_0110_5, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t + 89/132*c_0110_5^3 - 89/44*c_0110_5^2 + 89/132*c_0110_5 + 343/66, c_0011_0 - 1, c_0011_10 + 1/6*c_0110_5^3 - 1/2*c_0110_5^2 + 1/6*c_0110_5 - 4/3, c_0011_3 + 1/6*c_0110_5^3 - 1/2*c_0110_5^2 + 1/6*c_0110_5 - 1/3, c_0011_6 - 1/3*c_0110_5^3 + 1/2*c_0110_5^2 - 5/6*c_0110_5 + 1/6, c_0011_7 - 1/2*c_0110_5^2 + 1/2*c_0110_5 - 1/2, c_0101_0 - 1/6*c_0110_5^3 + 1/2*c_0110_5^2 - 1/6*c_0110_5 + 4/3, c_0101_10 - 1/6*c_0110_5^3 - 2/3*c_0110_5 + 5/6, c_0101_5 - 1/3*c_0110_5^3 + c_0110_5^2 - 4/3*c_0110_5 + 5/3, c_0110_4 - 1/6*c_0110_5^3 + 1/3*c_0110_5 - 1/6, c_0110_5^4 - 4*c_0110_5^3 + 7*c_0110_5^2 - 6*c_0110_5 + 11, c_1001_3 - 1 ], Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0011_6, c_0011_7, c_0101_0, c_0101_10, c_0101_5, c_0110_4, c_0110_5, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t - 8/3*c_0110_5^3 - 16/3*c_0110_5^2 - 8/3*c_0110_5 - 55/3, c_0011_0 - 1, c_0011_10 + 1, c_0011_3 + 1/3*c_0110_5^3 + 2/3*c_0110_5^2 + 1/3*c_0110_5 + 2/3, c_0011_6 + c_0110_5, c_0011_7 - 1/3*c_0110_5^3 + 1/3*c_0110_5^2 - 1/3*c_0110_5 - 2/3, c_0101_0 - 1, c_0101_10 + 1/3*c_0110_5^3 + 2/3*c_0110_5^2 + 4/3*c_0110_5 + 5/3, c_0101_5 - 1/3*c_0110_5^3 - 2/3*c_0110_5^2 - 4/3*c_0110_5 - 5/3, c_0110_4 - 2/3*c_0110_5^3 - 1/3*c_0110_5^2 - 2/3*c_0110_5 - 4/3, c_0110_5^4 + c_0110_5^3 + 2*c_0110_5^2 + 4*c_0110_5 + 1, c_1001_3 - 1 ], Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0011_6, c_0011_7, c_0101_0, c_0101_10, c_0101_5, c_0110_4, c_0110_5, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 49133545/56581*c_1001_3^5 - 262274065/56581*c_1001_3^4 - 2340766696/282905*c_1001_3^3 + 29011399/56581*c_1001_3^2 + 276569311/56581*c_1001_3 - 693382381/282905, c_0011_0 - 1, c_0011_10 - 36291/56581*c_1001_3^5 + 949112/282905*c_1001_3^4 + 1812504/282905*c_1001_3^3 + 44560/56581*c_1001_3^2 - 876893/282905*c_1001_3 + 135789/282905, c_0011_3 + 28529/56581*c_1001_3^5 - 721753/282905*c_1001_3^4 - 1564926/282905*c_1001_3^3 - 69582/56581*c_1001_3^2 + 831772/282905*c_1001_3 - 211026/282905, c_0011_6 + 26780/56581*c_1001_3^5 - 130642/56581*c_1001_3^4 - 314949/56581*c_1001_3^3 - 125124/56581*c_1001_3^2 + 70498/56581*c_1001_3 - 49554/56581, c_0011_7 + 5560/56581*c_1001_3^5 - 21419/56581*c_1001_3^4 - 89644/56581*c_1001_3^3 - 117209/56581*c_1001_3^2 - 5097/56581*c_1001_3 + 24235/56581, c_0101_0 + 9964/56581*c_1001_3^5 - 347623/282905*c_1001_3^4 - 46936/282905*c_1001_3^3 + 167253/56581*c_1001_3^2 + 398632/282905*c_1001_3 - 536511/282905, c_0101_10 - 26780/56581*c_1001_3^5 + 130642/56581*c_1001_3^4 + 314949/56581*c_1001_3^3 + 125124/56581*c_1001_3^2 - 70498/56581*c_1001_3 + 49554/56581, c_0101_5 - 13458/56581*c_1001_3^5 + 318756/282905*c_1001_3^4 + 878947/282905*c_1001_3^3 + 32937/56581*c_1001_3^2 - 332854/282905*c_1001_3 + 161277/282905, c_0110_4 - 5560/56581*c_1001_3^5 + 21419/56581*c_1001_3^4 + 89644/56581*c_1001_3^3 + 117209/56581*c_1001_3^2 + 5097/56581*c_1001_3 - 24235/56581, c_0110_5 + 13458/56581*c_1001_3^5 - 318756/282905*c_1001_3^4 - 878947/282905*c_1001_3^3 - 32937/56581*c_1001_3^2 + 332854/282905*c_1001_3 - 161277/282905, c_1001_3^6 - 27/5*c_1001_3^5 - 46/5*c_1001_3^4 + 6/5*c_1001_3^3 + 28/5*c_1001_3^2 - 16/5*c_1001_3 + 1/5 ], Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0011_6, c_0011_7, c_0101_0, c_0101_10, c_0101_5, c_0110_4, c_0110_5, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 6919/300*c_1001_3^5 - 14681/60*c_1001_3^4 - 2897/4*c_1001_3^3 - 112483/150*c_1001_3^2 - 7111/75*c_1001_3 + 50137/300, c_0011_0 - 1, c_0011_10 + 1, c_0011_3 - 1/2*c_1001_3^5 - 9/2*c_1001_3^4 - 8*c_1001_3^3 + 1/2*c_1001_3^2 + 4*c_1001_3 - 1, c_0011_6 - 3/2*c_1001_3^5 - 13*c_1001_3^4 - 20*c_1001_3^3 + 7*c_1001_3^2 + 27/2*c_1001_3 - 13/2, c_0011_7 - 3/2*c_1001_3^5 - 13*c_1001_3^4 - 41/2*c_1001_3^3 + 7/2*c_1001_3^2 + 23/2*c_1001_3 - 4, c_0101_0 - c_1001_3, c_0101_10 + 3/2*c_1001_3^5 + 13*c_1001_3^4 + 20*c_1001_3^3 - 7*c_1001_3^2 - 27/2*c_1001_3 + 13/2, c_0101_5 - 3/2*c_1001_3^5 - 13*c_1001_3^4 - 20*c_1001_3^3 + 7*c_1001_3^2 + 27/2*c_1001_3 - 13/2, c_0110_4 + 3/2*c_1001_3^5 + 13*c_1001_3^4 + 41/2*c_1001_3^3 - 7/2*c_1001_3^2 - 23/2*c_1001_3 + 4, c_0110_5 + 3/2*c_1001_3^5 + 13*c_1001_3^4 + 20*c_1001_3^3 - 7*c_1001_3^2 - 27/2*c_1001_3 + 13/2, c_1001_3^6 + 10*c_1001_3^5 + 25*c_1001_3^4 + 14*c_1001_3^3 - 14*c_1001_3^2 - 8*c_1001_3 + 5 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.230 Total time: 0.430 seconds, Total memory usage: 32.09MB