Magma V2.19-8 Wed Aug 21 2013 00:58:09 on localhost [Seed = 3398226013] Type ? for help. Type -D to quit. Loading file "L13n4737__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n4737 geometric_solution 11.99573494 oriented_manifold CS_known -0.0000000000000003 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 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 0 0 0 1 0 -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 0.093451817797 0.535934281606 0 5 6 3 0132 0132 0132 0321 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 0 0 0 0 0 0 -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 0.490783199030 1.015993202389 7 0 4 8 0132 0132 2103 0132 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 0 0 0 -1 0 1 2 0 0 -2 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.490783199030 1.015993202389 9 1 8 0 0132 0321 2031 0132 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 0 0 0 0 0 0 -1 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 0.872469180617 1.037767809241 2 10 0 9 2103 0132 0132 0213 0 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 0 0 0 0 0 0 0 0 2 1 -3 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 0.872469180617 1.037767809241 11 1 8 12 0132 0132 0213 0132 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 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 1.246273428634 0.841118040351 7 12 9 1 3120 0132 1023 0132 0 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 1 -1 0 0 0 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.323398666278 0.950066775572 2 11 12 6 0132 0132 2103 3120 1 0 1 1 0 0 -1 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 0 -1 -2 3 -2 0 2 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 0.296206653062 1.164516706629 10 5 2 3 2031 0213 0132 1302 0 0 0 1 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 -1 1 -2 0 2 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 0.158881959649 1.246273428634 3 12 6 4 0132 1302 1023 0213 0 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 0 0 0 0 0 0 0 0 -2 -1 3 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 0.525358485582 0.564567431762 11 4 8 11 3201 0132 1302 1302 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 -2 2 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 0.905494671309 1.193551693976 5 7 10 10 0132 0132 2031 2310 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 0 0 0 1 -1 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 0.596569293780 0.531770553784 7 6 5 9 2103 0132 0132 2031 0 0 1 1 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 -2 0 0 2 2 -3 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.564567431762 0.474641514418 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_12'], 'c_1001_10' : d['c_0110_8'], 'c_1001_12' : d['c_1001_1'], 'c_1001_5' : d['c_1001_0'], 'c_1001_4' : negation(d['c_0011_10']), 'c_1001_7' : d['c_0011_12'], 'c_1001_6' : negation(d['c_0011_3']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0110_8']), 'c_1001_2' : negation(d['c_0011_10']), 'c_1001_9' : d['c_0101_6'], 'c_1001_8' : d['c_1001_0'], 'c_1010_12' : negation(d['c_0011_3']), 'c_1010_11' : d['c_0011_12'], 'c_1010_10' : negation(d['c_0011_10']), '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' : negation(d['c_0011_8']), 's_2_0' : d['1'], 's_2_1' : negation(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' : negation(d['1']), 's_0_7' : negation(d['1']), 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : d['c_0110_8'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_1010_8'], 'c_1100_4' : negation(d['c_1010_8']), 'c_1100_7' : negation(d['c_0101_6']), 'c_1100_6' : negation(d['c_0110_8']), 'c_1100_1' : negation(d['c_0110_8']), 'c_1100_0' : negation(d['c_1010_8']), 'c_1100_3' : negation(d['c_1010_8']), 'c_1100_2' : d['c_0101_3'], 's_3_11' : d['1'], 'c_1100_11' : d['c_0011_10'], 'c_1100_10' : d['c_0101_11'], 's_0_11' : d['1'], 'c_1010_7' : d['c_0011_12'], 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_0110_8'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_0'], 'c_1010_0' : negation(d['c_0011_10']), 'c_1010_9' : negation(d['c_1010_8']), 'c_1010_8' : d['c_1010_8'], 'c_1100_8' : d['c_0101_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' : negation(d['1']), 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : d['c_1010_8'], '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' : 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' : negation(d['c_0011_3']), 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : negation(d['c_0011_12']), '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_11' : d['c_0011_8'], 'c_0110_10' : negation(d['c_0011_12']), 'c_0110_12' : d['c_0101_6'], 'c_0101_12' : d['c_0101_11'], 'c_0011_11' : negation(d['c_0011_0']), 'c_0101_7' : d['c_0101_11'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0011_8'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_1'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_3']), 'c_0101_9' : negation(d['c_0011_3']), 'c_0101_8' : d['c_0101_11'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_3'], 'c_0110_8' : d['c_0110_8'], 'c_0110_1' : negation(d['c_0011_3']), 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0011_3']), 'c_0110_2' : d['c_0101_11'], 'c_0110_5' : d['c_0101_11'], 'c_0110_4' : negation(d['c_0101_3']), 'c_0110_7' : d['c_0101_1'], '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_12, c_0011_3, c_0011_8, c_0101_1, c_0101_11, c_0101_3, c_0101_6, c_0110_8, c_1001_0, c_1001_1, c_1010_8 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 59/175*c_1010_8^5 + 59/350*c_1010_8^4 - 43/25*c_1010_8^3 + 43/50*c_1010_8^2 - 1173/350*c_1010_8 + 499/350, c_0011_0 - 1, c_0011_10 - 3/7*c_1010_8^5 - 2*c_1010_8^3 - 23/7*c_1010_8, c_0011_12 - 1/7*c_1010_8^4 - c_1010_8^2 - 10/7, c_0011_3 + 1, c_0011_8 + 1/7*c_1010_8^5 - 1/7*c_1010_8^4 - c_1010_8^2 - 4/7*c_1010_8 - 10/7, c_0101_1 - 3/7*c_1010_8^5 - 1/7*c_1010_8^4 - 2*c_1010_8^3 - 23/7*c_1010_8 + 4/7, c_0101_11 + 2/7*c_1010_8^5 - 1/7*c_1010_8^4 + c_1010_8^3 - c_1010_8^2 + 13/7*c_1010_8 - 10/7, c_0101_3 + 1/7*c_1010_8^4 - 4/7, c_0101_6 + 2/7*c_1010_8^5 + c_1010_8^3 + 13/7*c_1010_8 + 1, c_0110_8 + 1/7*c_1010_8^4 - 4/7, c_1001_0 - 2/7*c_1010_8^5 - c_1010_8^3 - 13/7*c_1010_8 + 1, c_1001_1 - 3/7*c_1010_8^5 - 1/7*c_1010_8^4 - 2*c_1010_8^3 - 30/7*c_1010_8 + 4/7, c_1010_8^6 + 5*c_1010_8^4 + 10*c_1010_8^2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.200 Total time: 0.410 seconds, Total memory usage: 32.09MB