Magma V2.19-8 Wed Aug 21 2013 00:56:04 on localhost [Seed = 879898139] Type ? for help. Type -D to quit. Loading file "L13n117__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n117 geometric_solution 11.66385491 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 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 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 0.513240907233 0.811764713219 0 2 4 5 0132 0213 0213 0132 1 1 1 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 0 0 0 0 0 0 0 0 0 0 0 2 -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 0.736255860257 0.544884557036 6 0 1 7 0132 0132 0213 0132 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 0 0 0 0 0 0 0 0 0 1 0 -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 0.559427872108 0.461086204248 8 9 10 0 0132 0132 0132 0132 1 1 1 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 0 0 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 0.527259106515 0.480388442718 8 1 0 10 1302 0213 0132 2310 1 1 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 -1 1 0 0 0 0 2 -2 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.353399886143 0.229685903701 8 10 1 11 2103 0213 0132 0132 1 1 1 1 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 0 0 0 0 0 2 -2 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.736005833233 0.872077011480 2 11 12 9 0132 3012 0132 3012 1 1 1 1 0 -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 0 0 0 1 1 -2 0 0 0 0 -1 2 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.083273870719 1.133713654564 12 12 2 12 0132 1230 0132 2031 1 1 0 1 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 1 -1 0 0 0 0 0 -1 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.935558569494 0.877323571647 3 4 5 9 0132 2031 2103 3120 1 1 1 1 0 1 0 -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 0 0 0 0 -2 0 2 -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 0.597835526948 0.602161531876 8 3 6 11 3120 0132 1230 2103 1 1 1 1 0 0 0 0 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 0 0 0 -1 0 1 0 0 0 0 0 -2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.965510369715 0.706500208480 4 11 5 3 3201 2103 0213 0132 1 1 1 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 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 1.389163789517 1.536898769008 6 10 5 9 1230 2103 0132 2103 1 1 1 1 0 0 0 0 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 0 0 0 -2 0 2 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 0.801612262459 0.818906584685 7 7 7 6 0132 1302 3012 0132 1 1 1 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 1 -1 0 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 0.431259799349 0.533338264908 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : negation(d['c_0011_0']), 'c_1001_11' : d['c_0011_10'], 'c_1001_10' : d['c_0011_11'], 'c_1001_12' : d['c_0011_12'], 'c_1001_5' : d['c_0011_11'], 'c_1001_4' : d['c_1001_1'], 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : negation(d['c_0011_11']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : d['c_1001_1'], 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : d['c_0011_5'], 'c_1010_12' : negation(d['c_0011_11']), 'c_1010_11' : negation(d['c_1001_3']), 'c_1010_10' : d['c_1001_3'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : negation(d['1']), 's_2_8' : d['1'], 'c_0101_12' : d['c_0011_12'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0011_5'], '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' : negation(d['1']), 's_2_7' : negation(d['1']), 's_2_12' : negation(d['1']), 's_2_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : negation(d['1']), 's_0_9' : negation(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' : negation(d['1']), 's_0_3' : negation(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_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0101_3']), 'c_1100_4' : d['c_0011_10'], 'c_1100_7' : d['c_0011_11'], 'c_1100_6' : negation(d['c_1001_0']), 'c_1100_1' : negation(d['c_0101_3']), 'c_1100_0' : d['c_0011_10'], 'c_1100_3' : d['c_0011_10'], 'c_1100_2' : d['c_0011_11'], 's_3_11' : d['1'], 'c_1100_9' : negation(d['c_0011_0']), 'c_1100_11' : negation(d['c_0101_3']), 'c_1100_10' : d['c_0011_10'], 's_0_11' : d['1'], 'c_1010_7' : d['c_0011_12'], 'c_1010_6' : negation(d['c_0101_11']), 'c_1010_5' : d['c_0011_10'], 'c_1010_4' : negation(d['c_0101_3']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0011_11'], 'c_1010_0' : d['c_1001_1'], 'c_1010_9' : d['c_1001_3'], 'c_1010_8' : d['c_0011_3'], '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' : d['1'], 's_3_9' : d['1'], 's_3_8' : negation(d['1']), 'c_1100_12' : negation(d['c_1001_0']), 's_1_7' : negation(d['1']), 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : negation(d['1']), 's_1_2' : d['1'], 's_1_1' : d['1'], 's_1_0' : d['1'], 's_1_9' : negation(d['1']), 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_3']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_3'], 'c_0011_7' : negation(d['c_0011_12']), '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' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0011_0'], 'c_0110_10' : d['c_0101_3'], 'c_0110_12' : d['c_0101_6'], '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_0011_3'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0011_0']), 'c_0101_1' : d['c_0011_3'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_11'], 'c_0101_8' : d['c_0101_0'], '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_3'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_3'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_6'], 'c_0110_5' : d['c_0101_11'], 'c_0110_4' : negation(d['c_0011_5']), 'c_0110_7' : d['c_0011_12'], 'c_1100_8' : negation(d['c_0101_11']), '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_11, c_0011_12, c_0011_3, c_0011_5, c_0101_0, c_0101_11, c_0101_3, c_0101_6, c_1001_0, c_1001_1, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t - 7887197072/2346248625*c_1001_3^3 + 163104608/31283315*c_1001_3^2 - 13423059548/2346248625*c_1001_3 - 943165438/782082875, c_0011_0 - 1, c_0011_10 + 16/21*c_1001_3^3 - 22/21*c_1001_3^2 + 22/21*c_1001_3 - 16/21, c_0011_11 - 4/21*c_1001_3^3 - 4/7*c_1001_3^2 + 5/21*c_1001_3 - 1/7, c_0011_12 + 1, c_0011_3 + 4/21*c_1001_3^3 - 2/21*c_1001_3^2 + 16/21*c_1001_3 - 1/42, c_0011_5 + 8/21*c_1001_3^3 - 4/21*c_1001_3^2 + 11/21*c_1001_3 - 22/21, c_0101_0 - 4/7*c_1001_3^3 + 2/7*c_1001_3^2 - 2/7*c_1001_3 + 1/14, c_0101_11 - 4/21*c_1001_3^3 - 4/7*c_1001_3^2 + 5/21*c_1001_3 - 8/7, c_0101_3 + 8/21*c_1001_3^3 - 4/21*c_1001_3^2 + 11/21*c_1001_3 - 1/21, c_0101_6 - 2, c_1001_0 + 4/21*c_1001_3^3 + 4/7*c_1001_3^2 - 5/21*c_1001_3 + 15/7, c_1001_1 + 4/21*c_1001_3^3 + 4/7*c_1001_3^2 - 5/21*c_1001_3 + 8/7, c_1001_3^4 - 3/2*c_1001_3^3 + 11/4*c_1001_3^2 - 3/2*c_1001_3 + 37/16 ], Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_12, c_0011_3, c_0011_5, c_0101_0, c_0101_11, c_0101_3, c_0101_6, c_1001_0, c_1001_1, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 19998464/4369145*c_1001_3^5 - 112007936/4369145*c_1001_3^4 - 536339456/4369145*c_1001_3^3 - 40809184/397195*c_1001_3^2 - 64337232/4369145*c_1001_3 + 1395688/4369145, c_0011_0 - 1, c_0011_10 - 296/113*c_1001_3^5 - 16/113*c_1001_3^4 - 92/113*c_1001_3^3 - 385/113*c_1001_3^2 - 305/226*c_1001_3 + 479/452, c_0011_11 + 768/113*c_1001_3^5 + 408/113*c_1001_3^4 + 312/113*c_1001_3^3 + 1286/113*c_1001_3^2 + 979/113*c_1001_3 - 203/226, c_0011_12 + 1, c_0011_3 + 776/113*c_1001_3^5 + 384/113*c_1001_3^4 + 400/113*c_1001_3^3 + 1217/113*c_1001_3^2 + 2009/226*c_1001_3 + 143/452, c_0011_5 - 288/113*c_1001_3^5 - 40/113*c_1001_3^4 - 4/113*c_1001_3^3 - 454/113*c_1001_3^2 - 127/113*c_1001_3 + 401/226, c_0101_0 + 560/113*c_1001_3^5 + 128/113*c_1001_3^4 + 284/113*c_1001_3^3 + 820/113*c_1001_3^2 + 429/113*c_1001_3 - 54/113, c_0101_11 - 768/113*c_1001_3^5 - 408/113*c_1001_3^4 - 312/113*c_1001_3^3 - 1286/113*c_1001_3^2 - 979/113*c_1001_3 - 23/226, c_0101_3 + 216/113*c_1001_3^5 + 256/113*c_1001_3^4 + 116/113*c_1001_3^3 + 397/113*c_1001_3^2 + 925/226*c_1001_3 + 359/452, c_0101_6 + 2, c_1001_0 - 768/113*c_1001_3^5 - 408/113*c_1001_3^4 - 312/113*c_1001_3^3 - 1286/113*c_1001_3^2 - 979/113*c_1001_3 - 249/226, c_1001_1 + 768/113*c_1001_3^5 + 408/113*c_1001_3^4 + 312/113*c_1001_3^3 + 1286/113*c_1001_3^2 + 979/113*c_1001_3 + 23/226, c_1001_3^6 + 1/2*c_1001_3^5 + 1/2*c_1001_3^4 + 13/8*c_1001_3^3 + 5/4*c_1001_3^2 + 1/16*c_1001_3 + 1/64 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.270 Total time: 0.480 seconds, Total memory usage: 32.09MB