Magma V2.19-8 Tue Aug 20 2013 23:45:47 on localhost [Seed = 1713374095] Type ? for help. Type -D to quit. Loading file "K13n616__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K13n616 geometric_solution 10.75931239 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 12 1 0 0 2 0132 1230 3012 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 1 -1 1 -1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.985654080608 1.332419799320 0 3 4 2 0132 0132 0132 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0.361718633004 0.475144681103 5 1 0 6 0132 1302 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 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 0.361718633004 0.475144681103 6 1 6 7 3201 0132 2310 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 -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 0.642801756855 0.925523192648 8 7 9 1 0132 0132 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 0 0 0 0 0 0 0 1 0 0 -1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.206096253645 1.140476029171 2 7 10 11 0132 2031 0132 0132 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 11 0 -11 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 0.706577713911 0.745954963318 9 3 2 3 2103 3201 0132 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.642801756855 0.925523192648 5 4 3 11 1302 0132 0132 3201 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 -11 1 0 10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.562271720892 0.413912743783 4 9 11 10 0132 3120 2103 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 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 0.588366085717 0.363604601518 10 8 6 4 0132 3120 2103 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 1 0 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.706577713911 0.745954963318 9 11 8 5 0132 0321 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 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.981416428238 0.534218815112 8 7 5 10 2103 2310 0132 0321 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 -10 11 -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 1.364604151186 1.205382577588 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0011_4']), 'c_1001_10' : d['c_0011_10'], 'c_1001_5' : negation(d['c_0110_7']), 'c_1001_4' : d['c_0011_4'], 'c_1001_7' : d['c_1001_1'], 'c_1001_6' : negation(d['c_0101_3']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0011_2'], 'c_1001_2' : d['c_0101_0'], 'c_1001_9' : negation(d['c_0011_11']), 'c_1001_8' : d['c_0011_11'], 'c_1010_11' : negation(d['c_0110_7']), 'c_1010_10' : negation(d['c_0110_7']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_1'], 'c_0101_10' : d['c_0101_10'], '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_1100_9' : d['c_0101_3'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_0011_10'], 'c_1100_4' : d['c_0101_3'], 'c_1100_7' : negation(d['c_0011_11']), 'c_1100_6' : d['c_0011_0'], 'c_1100_1' : d['c_0101_3'], 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : negation(d['c_0011_11']), 'c_1100_2' : d['c_0011_0'], 's_3_11' : d['1'], 'c_1100_11' : d['c_0011_10'], 'c_1100_10' : d['c_0011_10'], 's_0_11' : d['1'], 'c_1010_7' : d['c_0011_4'], 'c_1010_6' : negation(d['c_0011_2']), 'c_1010_5' : negation(d['c_0011_4']), 'c_1010_4' : d['c_1001_1'], 'c_1010_3' : d['c_1001_1'], 'c_1010_2' : negation(d['c_0101_3']), 'c_1010_1' : d['c_0011_2'], 'c_1010_0' : d['c_0101_0'], 'c_1010_9' : d['c_0011_4'], 'c_1010_8' : d['c_0011_10'], 'c_1100_8' : d['c_0011_10'], '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' : negation(d['c_0011_10']), 'c_0011_8' : negation(d['c_0011_4']), 'c_0011_5' : negation(d['c_0011_2']), 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_4']), 'c_0011_6' : negation(d['c_0011_11']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_0'], 'c_0011_2' : d['c_0011_2'], 'c_0110_11' : negation(d['c_0011_10']), 'c_0110_10' : d['c_0101_5'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0011_2'], 'c_0101_6' : d['c_0101_5'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_10'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_1'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_5'], 'c_0101_8' : d['c_0101_1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_10'], 'c_0110_8' : d['c_0101_10'], 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : d['c_0011_11'], 'c_0110_3' : d['c_0011_2'], 'c_0110_2' : d['c_0101_5'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_1'], 'c_0110_7' : d['c_0110_7'], 'c_0110_6' : negation(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_10, c_0011_11, c_0011_2, c_0011_4, c_0101_0, c_0101_1, c_0101_10, c_0101_3, c_0101_5, c_0110_7, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 3 Groebner basis: [ t + 1, c_0011_0 - 1, c_0011_10 - c_0110_7^2 + c_0110_7, c_0011_11 + c_0110_7^2 - 2*c_0110_7, c_0011_2 + c_0110_7^2 - c_0110_7, c_0011_4 + 1, c_0101_0 - c_0110_7 + 1, c_0101_1 + c_0110_7^2 - 2*c_0110_7, c_0101_10 + c_0110_7, c_0101_3 - c_0110_7^2 + c_0110_7, c_0101_5 - 1, c_0110_7^3 - 2*c_0110_7^2 + c_0110_7 - 1, c_1001_1 - 1 ], Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_2, c_0011_4, c_0101_0, c_0101_1, c_0101_10, c_0101_3, c_0101_5, c_0110_7, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t + 72473/64*c_1001_1^10 - 51557/8*c_1001_1^9 + 959847/64*c_1001_1^8 - 501733/64*c_1001_1^7 - 1673859/64*c_1001_1^6 + 1333869/32*c_1001_1^5 + 350751/16*c_1001_1^4 - 4557881/64*c_1001_1^3 + 2281189/64*c_1001_1^2 + 1202177/64*c_1001_1 + 485339/32, c_0011_0 - 1, c_0011_10 + 13/344*c_1001_1^10 - 89/344*c_1001_1^9 + 491/688*c_1001_1^8 - 115/172*c_1001_1^7 - 75/86*c_1001_1^6 + 403/172*c_1001_1^5 + 5/688*c_1001_1^4 - 168/43*c_1001_1^3 + 1983/688*c_1001_1^2 + 83/86*c_1001_1 - 19/172, c_0011_11 - 57/688*c_1001_1^10 + 291/688*c_1001_1^9 - 615/688*c_1001_1^8 + 13/43*c_1001_1^7 + 1107/688*c_1001_1^6 - 1513/688*c_1001_1^5 - 119/86*c_1001_1^4 + 2357/688*c_1001_1^3 - 1769/688*c_1001_1^2 - 24/43*c_1001_1 - 89/172, c_0011_2 - 17/688*c_1001_1^10 + 5/43*c_1001_1^9 - 77/344*c_1001_1^8 - 15/344*c_1001_1^7 + 475/688*c_1001_1^6 - 269/344*c_1001_1^5 - 597/688*c_1001_1^4 + 137/86*c_1001_1^3 - 117/172*c_1001_1^2 - 221/172*c_1001_1 - 31/86, c_0011_4 + 25/344*c_1001_1^10 - 37/86*c_1001_1^9 + 179/172*c_1001_1^8 - 28/43*c_1001_1^7 - 567/344*c_1001_1^6 + 517/172*c_1001_1^5 + 281/344*c_1001_1^4 - 773/172*c_1001_1^3 + 253/86*c_1001_1^2 + 5/172*c_1001_1 + 33/86, c_0101_0 - 35/688*c_1001_1^10 + 95/344*c_1001_1^9 - 199/344*c_1001_1^8 + 45/344*c_1001_1^7 + 897/688*c_1001_1^6 - 263/172*c_1001_1^5 - 875/688*c_1001_1^4 + 979/344*c_1001_1^3 - 251/172*c_1001_1^2 - 17/43*c_1001_1 + 25/43, c_0101_1 - 57/688*c_1001_1^10 + 291/688*c_1001_1^9 - 615/688*c_1001_1^8 + 13/43*c_1001_1^7 + 1107/688*c_1001_1^6 - 1513/688*c_1001_1^5 - 119/86*c_1001_1^4 + 2357/688*c_1001_1^3 - 1769/688*c_1001_1^2 - 24/43*c_1001_1 - 89/172, c_0101_10 - 35/688*c_1001_1^10 + 95/344*c_1001_1^9 - 441/688*c_1001_1^8 + 131/344*c_1001_1^7 + 639/688*c_1001_1^6 - 569/344*c_1001_1^5 - 201/344*c_1001_1^4 + 117/43*c_1001_1^3 - 1735/688*c_1001_1^2 - 25/172*c_1001_1 + 57/172, c_0101_3 + 17/688*c_1001_1^10 - 5/43*c_1001_1^9 + 77/344*c_1001_1^8 + 15/344*c_1001_1^7 - 475/688*c_1001_1^6 + 269/344*c_1001_1^5 + 597/688*c_1001_1^4 - 137/86*c_1001_1^3 + 117/172*c_1001_1^2 + 221/172*c_1001_1 + 31/86, c_0101_5 - c_1001_1, c_0110_7 + 35/688*c_1001_1^10 - 95/344*c_1001_1^9 + 441/688*c_1001_1^8 - 131/344*c_1001_1^7 - 639/688*c_1001_1^6 + 569/344*c_1001_1^5 + 201/344*c_1001_1^4 - 117/43*c_1001_1^3 + 1735/688*c_1001_1^2 + 25/172*c_1001_1 - 57/172, c_1001_1^11 - 6*c_1001_1^10 + 15*c_1001_1^9 - 11*c_1001_1^8 - 21*c_1001_1^7 + 44*c_1001_1^6 + 8*c_1001_1^5 - 69*c_1001_1^4 + 51*c_1001_1^3 + 7*c_1001_1^2 + 8*c_1001_1 - 4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.300 Total time: 0.510 seconds, Total memory usage: 32.09MB