Magma V2.19-8 Wed Aug 21 2013 01:08:17 on localhost [Seed = 3481917064] Type ? for help. Type -D to quit. Loading file "L14n39416__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n39416 geometric_solution 11.82324712 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 1 1 0 0 0 1 0 -1 0 0 -1 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 -5 -1 6 0 0 6 -6 0 -1 0 1 6 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.466834214598 0.524758598591 0 5 3 5 0132 0132 2103 3120 0 1 0 0 0 0 -1 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 0 0 0 0 -1 6 -5 0 0 -1 1 -6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.952698731566 0.937676169298 5 0 7 6 2103 0132 0132 0132 1 1 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 5 -5 0 0 0 0 0 0 6 0 -6 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.466834214598 0.524758598591 1 8 9 0 2103 0132 0132 0132 1 1 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 0 -1 1 1 0 5 -6 -6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.895799527505 1.168607265465 9 10 0 11 0132 0132 0132 0132 1 1 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 0 0 0 0 0 0 0 6 -6 0 0 0 6 -6 1 -1 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.706101634255 0.439784843539 1 1 2 7 3120 0132 2103 3120 0 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 1 0 -1 -1 0 0 1 0 0 0 0 5 -6 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.053661557777 1.063759294425 9 8 2 12 1023 0213 0132 0132 1 1 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 -1 1 0 0 0 -6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.706101634255 0.439784843539 5 10 9 2 3120 0321 1023 0132 1 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 0 0 0 0 0 0 0 0 0 0 0 -5 5 -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 0.895799527505 1.168607265465 10 3 6 12 0321 0132 0213 1230 1 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 1 0 -1 0 0 0 0 0 0 -6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.182365831469 0.949593332748 4 6 7 3 0132 1023 1023 0132 1 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 0 0 0 -1 1 0 0 5 -5 -1 1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.173057717122 0.738158678068 8 4 11 7 0321 0132 1302 0321 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 0 0 0 0 0 0 0 0 0 0 0 -6 6 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 0.520702141783 0.604739015584 10 12 4 12 2031 0132 0132 1023 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 0 0 0 0 0 0 0 0 -6 0 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.845239661372 0.510334642501 8 11 6 11 3012 0132 0132 1023 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.845239661372 0.510334642501 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0110_11'], 'c_1001_10' : d['c_0110_11'], 'c_1001_12' : d['c_0110_12'], 'c_1001_5' : negation(d['c_0011_0']), 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_0101_11'], 'c_1001_6' : d['c_1001_0'], 'c_1001_1' : d['c_0011_3'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0101_12'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_0101_6'], 'c_1001_8' : d['c_1001_0'], 'c_1010_12' : d['c_0110_11'], 'c_1010_11' : d['c_0110_12'], 'c_1010_10' : d['c_1001_2'], 's_3_11' : 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_10']), 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : negation(d['1']), 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : negation(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' : 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' : d['1'], 's_0_1' : d['1'], 'c_0011_11' : d['c_0011_10'], 'c_1100_8' : d['c_0110_12'], 'c_0011_12' : negation(d['c_0011_10']), 'c_1100_5' : negation(d['c_0101_6']), 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : negation(d['c_1100_0']), 'c_1100_6' : negation(d['c_1100_0']), 'c_1100_1' : negation(d['c_0101_0']), 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : negation(d['c_1100_0']), 's_0_10' : d['1'], 'c_1100_11' : d['c_1100_0'], 'c_1100_10' : d['c_0101_11'], 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_2'], 'c_1010_6' : d['c_0110_12'], 'c_1010_5' : d['c_0011_3'], 'c_1010_4' : d['c_0110_11'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_0101_12'], 'c_1010_8' : d['c_0101_12'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : negation(d['1']), 's_3_4' : d['1'], 's_3_7' : negation(d['1']), 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : negation(d['c_1100_0']), '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_10'], 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : negation(d['c_0011_3']), 'c_0011_6' : d['c_0011_10'], '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_0110_11'], 'c_0110_10' : d['c_0011_3'], 'c_0110_12' : d['c_0110_12'], 'c_0101_12' : d['c_0101_12'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_6'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_11'], 'c_0101_8' : 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_0101_1'], 'c_0110_8' : negation(d['c_0011_10']), 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_1100_0'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_6'], 'c_0110_5' : d['c_0101_0'], 'c_0110_4' : d['c_0101_11'], 'c_0110_7' : d['c_0101_0'], 'c_0110_6' : d['c_0101_12']})} 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_3, c_0101_0, c_0101_1, c_0101_11, c_0101_12, c_0101_6, c_0110_11, c_0110_12, c_1001_0, c_1001_2, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t - 33/50*c_1100_0^8 + 9/4*c_1100_0^7 + 19/50*c_1100_0^6 - 867/100*c_1100_0^5 + 23/4*c_1100_0^4 + 288/25*c_1100_0^3 - 62/5*c_1100_0^2 - 81/20*c_1100_0 + 659/100, c_0011_0 - 1, c_0011_10 + c_1100_0^8 - 3*c_1100_0^7 + 6*c_1100_0^5 - 2*c_1100_0^4 - 2*c_1100_0^3 - 3*c_1100_0^2 + 4, c_0011_3 + c_1100_0^8 - 3*c_1100_0^7 + 6*c_1100_0^5 - 2*c_1100_0^4 - 3*c_1100_0^3 - 2*c_1100_0^2 + 5, c_0101_0 - 1, c_0101_1 - c_1100_0^8 + 3*c_1100_0^7 - 6*c_1100_0^5 + 2*c_1100_0^4 + 3*c_1100_0^3 + 2*c_1100_0^2 - 4, c_0101_11 + c_1100_0^8 - 3*c_1100_0^7 + c_1100_0^6 + 3*c_1100_0^5 - c_1100_0^4 - 3*c_1100_0^2 + c_1100_0 + 1, c_0101_12 - c_1100_0^8 + 3*c_1100_0^7 - c_1100_0^6 - 3*c_1100_0^5 + c_1100_0^4 + 3*c_1100_0^2 - c_1100_0 - 1, c_0101_6 + c_1100_0^8 - 3*c_1100_0^7 + 6*c_1100_0^5 - 2*c_1100_0^4 - 3*c_1100_0^3 - 2*c_1100_0^2 + 4, c_0110_11 - c_1100_0^8 + 3*c_1100_0^7 - c_1100_0^6 - 3*c_1100_0^5 + c_1100_0^4 + 2*c_1100_0^2 - 1, c_0110_12 + c_1100_0^8 - 3*c_1100_0^7 + c_1100_0^6 + 3*c_1100_0^5 - c_1100_0^4 - 2*c_1100_0^2 + 1, c_1001_0 - c_1100_0^8 + 4*c_1100_0^7 - 3*c_1100_0^6 - 5*c_1100_0^5 + 5*c_1100_0^4 + 2*c_1100_0^3 + 2*c_1100_0^2 - 2*c_1100_0 - 4, c_1001_2 + c_1100_0^8 - 4*c_1100_0^7 + 3*c_1100_0^6 + 5*c_1100_0^5 - 5*c_1100_0^4 - 2*c_1100_0^3 - 2*c_1100_0^2 + 2*c_1100_0 + 4, c_1100_0^9 - 5*c_1100_0^8 + 7*c_1100_0^7 + 2*c_1100_0^6 - 10*c_1100_0^5 + 3*c_1100_0^4 + 5*c_1100_0^2 + c_1100_0 - 5 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.280 Total time: 0.480 seconds, Total memory usage: 32.09MB