Magma V2.19-8 Wed Aug 21 2013 01:04:30 on localhost [Seed = 3802462886] Type ? for help. Type -D to quit. Loading file "L14n24293__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n24293 geometric_solution 11.81017285 oriented_manifold CS_known -0.0000000000000007 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 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 1 0 -1 1 0 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.442154110592 0.530599261887 0 5 6 4 0132 0132 0132 2103 1 1 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 1 0 -1 0 2 0 0 -2 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.115691778816 1.061198523773 7 0 8 6 0132 0132 0132 3120 0 1 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 1 0 -1 0 0 -1 1 0 -2 0 2 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.442154110592 0.530599261887 9 10 8 0 0132 0132 0321 0132 0 1 0 1 0 0 0 0 1 0 -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 -7 0 8 -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 1.087819565230 1.441430522106 7 9 0 1 2103 3120 0132 2103 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 0 0 0 0 0 0 0 0 0 0 0 -1 -1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.536560905003 0.556141932970 11 1 12 11 0132 0132 0132 0213 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 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 1.129930490682 0.750240886840 2 10 7 1 3120 1230 0132 0132 1 1 0 0 0 1 -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 0 -8 8 0 -1 0 0 1 -2 1 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.101526150344 0.931262376390 2 11 4 6 0132 0132 2103 0132 1 1 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 8 0 -8 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 -0.115691778816 1.061198523773 10 9 3 2 3201 3201 0321 0132 0 1 0 1 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 -1 0 0 1 0 0 0 0 8 0 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.087819565230 1.441430522106 3 4 8 12 0132 3120 2310 1302 0 1 1 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 0 0 0 7 0 0 -7 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.421396717993 0.999419452589 12 3 6 8 1302 0132 3012 2310 0 1 1 0 0 0 0 0 0 0 -1 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 0 8 -8 -1 0 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.421396717993 0.999419452589 5 7 12 5 0132 0132 3201 0213 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 -8 7 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 1.129930490682 0.750240886840 11 10 9 5 2310 2031 2031 0132 1 0 0 1 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 1 0 -1 0 0 0 0 0 0 0 0 -7 0 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.096779975447 0.573484994937 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0011_8']), 'c_1001_10' : negation(d['c_0011_6']), 'c_1001_12' : negation(d['c_0101_3']), 'c_1001_5' : d['c_0011_10'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_0011_4'], 'c_1001_6' : negation(d['c_0011_8']), 'c_1001_1' : negation(d['c_0011_12']), 'c_1001_0' : negation(d['c_0011_6']), 'c_1001_3' : negation(d['c_0101_2']), 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : negation(d['c_1001_2']), 'c_1001_8' : negation(d['c_0101_0']), 'c_1010_12' : d['c_0011_10'], 'c_1010_11' : d['c_0011_4'], 'c_1010_10' : negation(d['c_0101_2']), 's_0_10' : d['1'], 's_0_11' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 'c_0101_12' : d['c_0011_8'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : negation(d['c_0011_12']), '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' : 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_0011_8'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0011_4'], 'c_1100_4' : negation(d['c_0101_0']), 'c_1100_7' : negation(d['c_0110_4']), 'c_1100_6' : negation(d['c_0110_4']), 'c_1100_1' : negation(d['c_0110_4']), 'c_1100_0' : negation(d['c_0101_0']), 'c_1100_3' : negation(d['c_0101_0']), 'c_1100_2' : negation(d['c_0101_2']), 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0011_12']), 'c_1100_10' : d['c_0011_8'], 's_3_10' : d['1'], 'c_1010_7' : negation(d['c_0011_8']), 'c_1010_6' : negation(d['c_0011_12']), 'c_1010_5' : negation(d['c_0011_12']), 'c_1010_4' : negation(d['c_0011_10']), 'c_1010_3' : negation(d['c_0011_6']), 'c_1010_2' : negation(d['c_0011_6']), 'c_1010_1' : d['c_0011_10'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : negation(d['c_0011_4']), 'c_1010_8' : d['c_1001_2'], 'c_1100_8' : negation(d['c_0101_2']), 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : negation(d['1']), 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_7' : d['1'], 's_3_6' : negation(d['1']), 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : d['c_0011_4'], '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' : d['c_0011_10'], 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_0'], '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_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0101_11']), 'c_0110_10' : d['c_0101_3'], 'c_0110_12' : negation(d['c_0101_11']), 'c_0011_11' : negation(d['c_0011_0']), 'c_0101_7' : d['c_0101_1'], 'c_0101_6' : d['c_0101_2'], 'c_0101_5' : negation(d['c_0101_11']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_0'], 'c_0101_8' : negation(d['c_0101_3']), '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_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : d['c_0101_11'], 'c_0110_4' : d['c_0110_4'], 'c_0110_7' : d['c_0101_2'], 'c_0110_6' : d['c_0101_1'], 's_2_9' : d['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_4, c_0011_6, c_0011_8, c_0101_0, c_0101_1, c_0101_11, c_0101_2, c_0101_3, c_0110_4, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 54428646/282997*c_1001_2^7 - 487158159/565994*c_1001_2^6 + 3069446319/2263976*c_1001_2^5 - 1791706405/2263976*c_1001_2^4 + 98230761/1131988*c_1001_2^3 - 107752147/1131988*c_1001_2^2 + 341179071/2263976*c_1001_2 + 88533983/2263976, c_0011_0 - 1, c_0011_10 + 48/1979*c_1001_2^7 + 2356/1979*c_1001_2^6 - 5989/1979*c_1001_2^5 - 1580/1979*c_1001_2^4 + 20761/3958*c_1001_2^3 + 802/1979*c_1001_2^2 - 10039/3958*c_1001_2 - 1843/1979, c_0011_12 + 8064/1979*c_1001_2^7 - 39572/1979*c_1001_2^6 + 68445/1979*c_1001_2^5 - 173189/7916*c_1001_2^4 + 2404/1979*c_1001_2^3 + 164/1979*c_1001_2^2 + 3736/1979*c_1001_2 + 10253/7916, c_0011_4 - 4916/1979*c_1001_2^7 + 22573/1979*c_1001_2^6 - 137677/7916*c_1001_2^5 + 30085/3958*c_1001_2^4 + 4122/1979*c_1001_2^3 + 4608/1979*c_1001_2^2 - 19979/7916*c_1001_2 - 4769/3958, c_0011_6 + 8256/1979*c_1001_2^7 - 38064/1979*c_1001_2^6 + 62300/1979*c_1001_2^5 - 38238/1979*c_1001_2^4 + 2367/1979*c_1001_2^3 - 586/1979*c_1001_2^2 + 7406/1979*c_1001_2 - 356/1979, c_0011_8 + 888/1979*c_1001_2^7 - 3910/1979*c_1001_2^6 + 7971/3958*c_1001_2^5 + 10805/3958*c_1001_2^4 - 9324/1979*c_1001_2^3 + 3947/3958*c_1001_2^2 - 685/3958*c_1001_2 + 2516/1979, c_0101_0 - 1, c_0101_1 - 10128/1979*c_1001_2^7 + 41172/1979*c_1001_2^6 - 58293/1979*c_1001_2^5 + 30593/1979*c_1001_2^4 - 4480/1979*c_1001_2^3 + 2951/1979*c_1001_2^2 - 4598/1979*c_1001_2 - 2969/1979, c_0101_11 + 8592/1979*c_1001_2^7 - 37404/1979*c_1001_2^6 + 55999/1979*c_1001_2^5 - 53079/3958*c_1001_2^4 - 16175/3958*c_1001_2^3 + 5028/1979*c_1001_2^2 + 7867/3958*c_1001_2 + 3171/3958, c_0101_2 + 10128/1979*c_1001_2^7 - 41172/1979*c_1001_2^6 + 58293/1979*c_1001_2^5 - 30593/1979*c_1001_2^4 + 4480/1979*c_1001_2^3 - 2951/1979*c_1001_2^2 + 4598/1979*c_1001_2 + 990/1979, c_0101_3 + 10816/1979*c_1001_2^7 - 44344/1979*c_1001_2^6 + 60846/1979*c_1001_2^5 - 55685/3958*c_1001_2^4 + 3193/1979*c_1001_2^3 - 11277/3958*c_1001_2^2 + 7524/1979*c_1001_2 + 1620/1979, c_0110_4 + 5752/1979*c_1001_2^7 - 31674/1979*c_1001_2^6 + 130685/3958*c_1001_2^5 - 210483/7916*c_1001_2^4 + 7843/3958*c_1001_2^3 + 5527/3958*c_1001_2^2 + 11162/1979*c_1001_2 + 18353/7916, c_1001_2^8 - 17/4*c_1001_2^7 + 97/16*c_1001_2^6 - 21/8*c_1001_2^5 - 5/16*c_1001_2^4 - 1/2*c_1001_2^3 + 11/16*c_1001_2^2 + 3/8*c_1001_2 + 1/16 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.230 Total time: 0.440 seconds, Total memory usage: 32.09MB