Magma V2.19-8 Tue Aug 20 2013 23:42:35 on localhost [Seed = 3035812307] Type ? for help. Type -D to quit. Loading file "L13n4448__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n4448 geometric_solution 9.98461518 oriented_manifold CS_known -0.0000000000000004 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 11 1 2 3 4 0132 0132 0132 0132 0 0 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 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 0.642718497102 1.302848816720 0 5 4 6 0132 0132 1230 0132 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 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 0.500552645135 0.343231846548 3 0 8 7 1023 0132 0132 0132 0 0 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 0 0 0 0 0 0 -1 1 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 0.242641168330 0.934042711882 6 2 5 0 0132 1023 2031 0132 0 0 1 0 0 0 1 -1 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 -1 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 0.199676976305 0.536672708389 9 10 0 1 0132 0132 0132 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 -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 0.928074452221 1.233424235580 6 1 9 3 1023 0132 2310 1302 0 0 0 1 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 -1 1 0 0 0 -1 1 -1 0 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.409205925481 1.137908723245 3 5 1 7 0132 1023 0132 1023 0 0 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 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 1.166818654022 1.232544061197 8 10 2 6 0213 2031 0132 1023 0 0 0 1 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 -5 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.043027534595 0.972700840419 7 10 9 2 0213 0321 3120 0132 0 0 0 1 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 0 1 -1 0 0 1 -1 0 0 0 0 5 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.216992168243 0.867026042200 4 5 8 10 0132 3201 3120 1302 1 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 -1 0 1 1 0 -1 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 0.117405362666 0.749113563564 7 4 9 8 1302 0132 2031 0321 0 1 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 1 -1 0 -4 0 -1 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.962373210339 0.825173611921 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : negation(d['c_0101_1']), 'c_1001_5' : d['c_0101_5'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_0011_8'], 'c_1001_6' : d['c_0101_5'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0011_8'], 'c_1001_3' : d['c_0101_2'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : negation(d['c_0101_5']), 'c_1001_8' : d['c_0101_5'], 'c_1010_10' : d['c_1001_2'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_10' : negation(d['c_0011_7']), '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' : d['1'], 's_2_10' : 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' : negation(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' : negation(d['c_0011_7']), 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_0011_10'], 'c_1100_4' : negation(d['c_1001_1']), 'c_1100_7' : negation(d['c_0101_9']), 'c_1100_6' : d['c_0101_9'], 'c_1100_1' : d['c_0101_9'], 'c_1100_0' : negation(d['c_1001_1']), 'c_1100_3' : negation(d['c_1001_1']), 'c_1100_2' : negation(d['c_0101_9']), 'c_1100_10' : d['c_0101_5'], 'c_1010_7' : d['c_0011_10'], 'c_1010_6' : negation(d['c_0101_2']), 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : negation(d['c_0101_1']), 'c_1010_3' : d['c_0011_8'], 'c_1010_2' : d['c_0011_8'], 'c_1010_1' : d['c_0101_5'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : negation(d['c_0101_5']), 'c_1010_8' : d['c_1001_2'], 'c_1100_8' : negation(d['c_0101_9']), 's_3_1' : negation(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' : negation(d['1']), 's_1_5' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : negation(d['1']), 's_1_0' : 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' : negation(d['c_0011_10']), '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_10' : negation(d['c_0011_8']), 'c_0101_7' : d['c_0011_8'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0011_10'], '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_9'], 'c_0101_8' : d['c_0011_7'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_1'], '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_0011_8'], 'c_0110_5' : negation(d['c_0101_2']), 'c_0110_4' : d['c_0101_9'], 'c_0110_7' : negation(d['c_0101_2']), 'c_0110_6' : d['c_0011_10']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_7, c_0011_8, c_0101_0, c_0101_1, c_0101_2, c_0101_5, c_0101_9, c_1001_1, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t + 2022215535/487330168*c_1001_2^6 - 287789601/487330168*c_1001_2^5 - 487018937/121832542*c_1001_2^4 + 3177410681/487330168*c_1001_2^3 - 496300047/487330168*c_1001_2^2 - 698279395/487330168*c_1001_2 - 279424009/243665084, c_0011_0 - 1, c_0011_10 + 575487/302314*c_1001_2^6 - 820941/302314*c_1001_2^5 - 601694/151157*c_1001_2^4 + 1463677/302314*c_1001_2^3 - 208537/302314*c_1001_2^2 - 2236181/302314*c_1001_2 + 355162/151157, c_0011_7 - 459378/151157*c_1001_2^6 + 569889/151157*c_1001_2^5 + 1171257/151157*c_1001_2^4 - 961534/151157*c_1001_2^3 - 251088/151157*c_1001_2^2 + 1481927/151157*c_1001_2 - 359878/151157, c_0011_8 + 931509/302314*c_1001_2^6 - 1322259/302314*c_1001_2^5 - 1065023/151157*c_1001_2^4 + 2278989/302314*c_1001_2^3 + 297079/302314*c_1001_2^2 - 3280013/302314*c_1001_2 + 536479/151157, c_0101_0 - 385632/151157*c_1001_2^6 + 550578/151157*c_1001_2^5 + 793373/151157*c_1001_2^4 - 987247/151157*c_1001_2^3 + 249852/151157*c_1001_2^2 + 1630682/151157*c_1001_2 - 611035/151157, c_0101_1 - 1, c_0101_2 - 564273/302314*c_1001_2^6 + 860175/302314*c_1001_2^5 + 564219/151157*c_1001_2^4 - 1453235/302314*c_1001_2^3 + 170707/302314*c_1001_2^2 + 1827393/302314*c_1001_2 - 442236/151157, c_0101_5 - 343971/302314*c_1001_2^6 + 229035/302314*c_1001_2^5 + 472189/151157*c_1001_2^4 - 118425/302314*c_1001_2^3 - 3269/302314*c_1001_2^2 + 1077899/302314*c_1001_2 - 56040/151157, c_0101_9 + 281997/151157*c_1001_2^6 - 378168/151157*c_1001_2^5 - 579664/151157*c_1001_2^4 + 612210/151157*c_1001_2^3 - 175383/151157*c_1001_2^2 - 1088277/151157*c_1001_2 + 270681/151157, c_1001_1 + 1115793/302314*c_1001_2^6 - 1537869/302314*c_1001_2^5 - 1234672/151157*c_1001_2^4 + 2550549/302314*c_1001_2^3 - 136317/302314*c_1001_2^2 - 3943255/302314*c_1001_2 + 707871/151157, c_1001_2^7 - 5/3*c_1001_2^6 - 16/9*c_1001_2^5 + 3*c_1001_2^4 - c_1001_2^3 - 11/3*c_1001_2^2 + 22/9*c_1001_2 - 4/9 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.250 seconds, Total memory usage: 32.09MB