Magma V2.19-8 Tue Aug 20 2013 23:47:05 on localhost [Seed = 1208885879] Type ? for help. Type -D to quit. Loading file "K14n7730__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K14n7730 geometric_solution 10.37375661 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 12 1 2 3 4 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 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.772253211734 0.886284936810 0 5 7 6 0132 0132 0132 0132 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 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.465628571567 0.356408769803 8 0 7 9 0132 0132 3012 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 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 0.964224723208 0.523053580533 6 10 5 0 0132 0132 1023 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 1 -1 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.475399806024 0.885805395864 11 11 0 8 0132 2310 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 0 0 0 0 0 -1 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.536910771516 0.473726689689 6 1 3 8 1023 0132 1023 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.475399806024 0.885805395864 3 5 1 10 0132 1023 0132 1023 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.550572982865 1.095263658275 9 2 11 1 0321 1230 0321 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 -0.011207808860 1.213843326554 2 10 4 5 0132 1023 0132 1023 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 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.772253211734 0.886284936810 7 10 2 11 0321 0213 0132 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.007606036793 0.823759319773 8 3 9 6 1023 0132 0213 1023 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 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.465628571567 0.356408769803 4 9 7 4 0132 2310 0321 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.469583166909 0.728785772931 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_11'], 'c_1001_10' : d['c_1001_0'], 'c_1001_5' : d['c_0101_3'], 'c_1001_4' : negation(d['c_0011_7']), 'c_1001_7' : d['c_0011_11'], 'c_1001_6' : d['c_0101_3'], 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0101_3'], 'c_1001_2' : negation(d['c_0011_7']), 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : d['c_0011_9'], 'c_1010_11' : d['c_0011_7'], 'c_1010_10' : d['c_0101_3'], 's_3_11' : d['1'], 's_0_11' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0011_9'], '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_0'], 'c_1100_5' : negation(d['c_1100_0']), 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : d['c_1001_11'], 'c_1100_6' : d['c_1001_11'], 'c_1100_1' : d['c_1001_11'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : negation(d['c_0011_11']), 's_0_10' : d['1'], 'c_1100_11' : d['c_0011_11'], 'c_1100_10' : negation(d['c_1001_11']), 's_3_10' : d['1'], 'c_1010_7' : d['c_0101_2'], 'c_1010_6' : d['c_0110_10'], 'c_1010_5' : d['c_0101_2'], 'c_1010_4' : d['c_0011_9'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0101_3'], 'c_1010_0' : negation(d['c_0011_7']), 'c_1010_9' : negation(d['c_1001_11']), 'c_1010_8' : d['c_0110_10'], 'c_1100_8' : d['c_1100_0'], '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_9'], 'c_0011_8' : d['c_0011_0'], '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_0'], '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_9']), 'c_0110_10' : d['c_0110_10'], 'c_0110_0' : negation(d['c_0011_9']), 'c_0101_7' : negation(d['c_0101_11']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_3'], 'c_0101_4' : negation(d['c_0011_9']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_9']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_11'], 'c_0101_8' : d['c_0101_11'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_7']), 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_0011_11']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_11'], 'c_0110_5' : d['c_0110_10'], 'c_0110_4' : d['c_0101_11'], 'c_0110_7' : negation(d['c_0011_9']), 'c_0110_6' : d['c_0101_3']})} 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_11, c_0011_7, c_0011_9, c_0101_0, c_0101_11, c_0101_2, c_0101_3, c_0110_10, c_1001_0, c_1001_11, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 98551/51619008*c_1001_0*c_1100_0^4 + 49769/25809504*c_1001_0*c_1100_0^3 - 17431/1613094*c_1001_0*c_1100_0^2 + 10175/806547*c_1001_0*c_1100_0 + 113501/3226188*c_1001_0 - 7885/51619008*c_1100_0^4 - 16309/12904752*c_1100_0^3 - 7475/6452376*c_1100_0^2 + 49769/6452376*c_1100_0 - 24391/1613094, c_0011_0 - 1, c_0011_11 + 1/16*c_1100_0^4 - 1/4*c_1100_0^2 + c_1100_0, c_0011_7 + 1/48*c_1001_0*c_1100_0^4 + 1/12*c_1001_0*c_1100_0^3 - 1/6*c_1001_0*c_1100_0^2 - 1/3*c_1001_0*c_1100_0 + 2/3*c_1001_0 + 1/24*c_1100_0^4 + 1/24*c_1100_0^3 - 1/12*c_1100_0^2 - 1/6*c_1100_0 + 1/3, c_0011_9 - 1/2*c_1100_0, c_0101_0 - 1/48*c_1001_0*c_1100_0^4 + 1/24*c_1001_0*c_1100_0^3 + 1/6*c_1001_0*c_1100_0^2 - 1/6*c_1001_0*c_1100_0 - 2/3*c_1001_0 + 1/48*c_1100_0^4 - 1/24*c_1100_0^3 - 1/6*c_1100_0^2 + 1/6*c_1100_0 + 2/3, c_0101_11 - 1/48*c_1001_0*c_1100_0^4 - 1/12*c_1001_0*c_1100_0^3 + 1/6*c_1001_0*c_1100_0^2 + 1/3*c_1001_0*c_1100_0 - 2/3*c_1001_0 - 1/24*c_1100_0^4 - 1/24*c_1100_0^3 + 1/12*c_1100_0^2 - 5/6*c_1100_0 - 1/3, c_0101_2 - c_1001_0 + 1/2*c_1100_0^2, c_0101_3 + 1/24*c_1001_0*c_1100_0^4 + 1/24*c_1001_0*c_1100_0^3 - 1/12*c_1001_0*c_1100_0^2 + 1/3*c_1001_0*c_1100_0 + 1/3*c_1001_0 - 1/24*c_1100_0^4 - 1/24*c_1100_0^3 + 1/12*c_1100_0^2 + 1/6*c_1100_0 - 1/3, c_0110_10 - 1/48*c_1001_0*c_1100_0^4 + 1/24*c_1001_0*c_1100_0^3 + 1/6*c_1001_0*c_1100_0^2 - 1/6*c_1001_0*c_1100_0 - 2/3*c_1001_0 + 1/48*c_1100_0^4 - 1/24*c_1100_0^3 + 1/3*c_1100_0^2 + 1/6*c_1100_0 + 2/3, c_1001_0^2 - 1/2*c_1001_0*c_1100_0^2 - 1/16*c_1100_0^4 + c_1100_0^2 - 2, c_1001_11 - 1/16*c_1100_0^4 + 1/2*c_1100_0^2, c_1100_0^5 + 2*c_1100_0^4 - 4*c_1100_0^3 + 16*c_1100_0 + 32 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 2.990 Total time: 3.189 seconds, Total memory usage: 32.09MB