Magma V2.19-8 Tue Aug 20 2013 23:46:07 on localhost [Seed = 2193942398] Type ? for help. Type -D to quit. Loading file "K14n1257__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K14n1257 geometric_solution 11.48324249 oriented_manifold CS_known -0.0000000000000005 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 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 0.713389302131 0.862718317587 0 5 7 6 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 -1 0 1 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 0.336119467399 0.963792896594 8 0 6 5 0132 0132 1302 1302 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.098016487224 1.427236493616 5 8 9 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.746483212917 0.669311293463 9 10 0 10 1302 0132 0132 2103 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.464425955243 0.947345969222 3 1 2 8 0132 0132 2031 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0.266725458444 0.721591160089 2 7 1 10 2031 0132 0132 1302 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 2 -1 -1 1 0 -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 0.429048834729 1.468843155867 11 6 9 1 0132 0132 3120 0132 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 -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 0.156225068006 0.553189987250 2 3 5 11 0132 0132 1230 0321 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.165287907493 0.608022149318 11 4 7 3 2031 2031 3120 0132 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 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.488758326397 0.553069712936 11 4 6 4 3120 0132 2031 2103 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 0 0 0 -1 0 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 0.164130670870 0.837089155606 7 8 9 10 0132 0321 1302 3120 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 0 -2 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 0.651205354207 0.748778280572 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_3'], 'c_1001_10' : negation(d['c_0110_6']), 'c_1001_5' : negation(d['c_0101_8']), 'c_1001_4' : d['c_0110_6'], 'c_1001_7' : d['c_0110_4'], 'c_1001_6' : negation(d['c_0101_8']), 'c_1001_1' : negation(d['c_0101_8']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0011_10']), 'c_1001_2' : d['c_0110_6'], 'c_1001_9' : negation(d['c_0110_4']), 'c_1001_8' : d['c_1001_0'], 'c_1010_11' : negation(d['c_0011_10']), 'c_1010_10' : d['c_0110_6'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : negation(d['c_0011_9']), 'c_0101_10' : d['c_0101_10'], 's_2_0' : negation(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' : negation(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' : negation(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_1100_8' : d['c_0101_3'], 'c_1100_5' : negation(d['c_1001_0']), 'c_1100_4' : negation(d['c_0101_7']), 'c_1100_7' : d['c_0101_10'], 'c_1100_6' : d['c_0101_10'], 'c_1100_1' : d['c_0101_10'], 'c_1100_0' : negation(d['c_0101_7']), 'c_1100_3' : negation(d['c_0101_7']), 'c_1100_2' : d['c_0101_0'], 's_3_11' : d['1'], 'c_1100_9' : negation(d['c_0101_7']), 'c_1100_11' : negation(d['c_0101_10']), 'c_1100_10' : negation(d['c_0110_4']), 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0101_8']), 'c_1010_6' : d['c_0110_4'], 'c_1010_5' : negation(d['c_0101_8']), 'c_1010_4' : negation(d['c_0110_6']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0101_8']), 'c_1010_0' : d['c_0110_6'], 'c_1010_9' : negation(d['c_0011_10']), 'c_1010_8' : negation(d['c_0011_10']), 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : negation(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' : negation(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' : negation(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_10']), 'c_0011_7' : negation(d['c_0011_11']), 'c_0110_6' : d['c_0110_6'], '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' : d['c_0101_7'], 'c_0110_10' : d['c_0101_7'], 'c_0011_6' : d['c_0011_11'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : negation(d['c_0011_9']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0011_11']), 'c_0101_1' : negation(d['c_0011_9']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0101_10']), 'c_0101_8' : d['c_0101_8'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_3'], 'c_0110_8' : negation(d['c_0011_11']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_9']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_8'], 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : d['c_0110_4'], 'c_0110_7' : negation(d['c_0011_9']), 'c_0011_10' : d['c_0011_10']})} 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_9, c_0101_0, c_0101_10, c_0101_3, c_0101_7, c_0101_8, c_0110_4, c_0110_6, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t - 323999111/200922150*c_0110_6^10 + 38775811/6088550*c_0110_6^9 - 1380567049/200922150*c_0110_6^8 + 1689449864/100461075*c_0110_6^7 - 3367229981/200922150*c_0110_6^6 + 1554078649/66974050*c_0110_6^5 - 1702234874/100461075*c_0110_6^4 + 35718112/1826565*c_0110_6^3 - 149980581/13394810*c_0110_6^2 + 295487756/100461075*c_0110_6 - 20930271/66974050, c_0011_0 - 1, c_0011_10 - 7/65*c_0110_6^10 + 66/65*c_0110_6^9 - 198/65*c_0110_6^8 + 311/65*c_0110_6^7 - 557/65*c_0110_6^6 + 604/65*c_0110_6^5 - 731/65*c_0110_6^4 + 124/13*c_0110_6^3 - 107/13*c_0110_6^2 + 324/65*c_0110_6 - 31/65, c_0011_11 + 107/65*c_0110_6^10 - 476/65*c_0110_6^9 + 61/5*c_0110_6^8 - 1751/65*c_0110_6^7 + 1847/65*c_0110_6^6 - 2979/65*c_0110_6^5 + 167/5*c_0110_6^4 - 578/13*c_0110_6^3 + 22*c_0110_6^2 - 1239/65*c_0110_6 - 84/65, c_0011_9 + 3/65*c_0110_6^10 - 29/65*c_0110_6^9 + 97/65*c_0110_6^8 - 199/65*c_0110_6^7 + 378/65*c_0110_6^6 - 451/65*c_0110_6^5 + 669/65*c_0110_6^4 - 96/13*c_0110_6^3 + 136/13*c_0110_6^2 - 291/65*c_0110_6 + 344/65, c_0101_0 + 66/65*c_0110_6^10 - 298/65*c_0110_6^9 + 514/65*c_0110_6^8 - 1113/65*c_0110_6^7 + 1166/65*c_0110_6^6 - 1922/65*c_0110_6^5 + 1333/65*c_0110_6^4 - 380/13*c_0110_6^3 + 163/13*c_0110_6^2 - 867/65*c_0110_6 - 157/65, c_0101_10 - c_0110_6^10 + 5*c_0110_6^9 - 10*c_0110_6^8 + 21*c_0110_6^7 - 27*c_0110_6^6 + 39*c_0110_6^5 - 37*c_0110_6^4 + 41*c_0110_6^3 - 30*c_0110_6^2 + 22*c_0110_6 - 7, c_0101_3 + 48/65*c_0110_6^10 - 219/65*c_0110_6^9 + 29/5*c_0110_6^8 - 794/65*c_0110_6^7 + 848/65*c_0110_6^6 - 1371/65*c_0110_6^5 + 68/5*c_0110_6^4 - 265/13*c_0110_6^3 + 7*c_0110_6^2 - 571/65*c_0110_6 - 226/65, c_0101_7 - 7/13*c_0110_6^10 + 35/13*c_0110_6^9 - 74/13*c_0110_6^8 + 163/13*c_0110_6^7 - 206/13*c_0110_6^6 + 24*c_0110_6^5 - 295/13*c_0110_6^4 + 329/13*c_0110_6^3 - 253/13*c_0110_6^2 + 14*c_0110_6 - 82/13, c_0101_8 + 73/65*c_0110_6^10 - 324/65*c_0110_6^9 + 552/65*c_0110_6^8 - 1254/65*c_0110_6^7 + 1333/65*c_0110_6^6 - 2166/65*c_0110_6^5 + 1644/65*c_0110_6^4 - 431/13*c_0110_6^3 + 240/13*c_0110_6^2 - 991/65*c_0110_6 + 139/65, c_0110_4 - c_0110_6^10 + 5*c_0110_6^9 - 10*c_0110_6^8 + 21*c_0110_6^7 - 27*c_0110_6^6 + 39*c_0110_6^5 - 37*c_0110_6^4 + 41*c_0110_6^3 - 30*c_0110_6^2 + 21*c_0110_6 - 7, c_0110_6^11 - 5*c_0110_6^10 + 10*c_0110_6^9 - 21*c_0110_6^8 + 27*c_0110_6^7 - 39*c_0110_6^6 + 37*c_0110_6^5 - 41*c_0110_6^4 + 30*c_0110_6^3 - 22*c_0110_6^2 + 7*c_0110_6 - 1, c_1001_0 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.520 Total time: 0.730 seconds, Total memory usage: 32.09MB