Magma V2.19-8 Tue Aug 20 2013 23:39:29 on localhost [Seed = 1882592308] Type ? for help. Type -D to quit. Loading file "K13n624__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K13n624 geometric_solution 9.57129115 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 11 1 2 3 2 0132 0132 0132 0213 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 -1 1 -1 0 0 1 0 0 0 0 11 -1 -10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.811168830838 0.553484590449 0 3 5 4 0132 3120 0132 0132 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 1 0 0 -1 -11 10 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.930271593693 0.652788846320 3 0 6 0 2310 0132 0132 0213 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.811168830838 0.553484590449 5 1 2 0 0132 3120 3201 0132 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 -1 1 0 0 0 0 0 -10 0 10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.463027160070 0.391624110975 7 8 1 8 0132 0132 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 1 0 -1 0 0 1 -1 0 1 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.270530933111 0.606475769932 3 6 7 1 0132 1023 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 0.399434955097 0.481726023845 5 8 9 2 1023 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 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 0.677581023082 0.509422476120 4 10 10 5 0132 0132 3201 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 1.032065989975 0.942325730919 4 4 9 6 3201 0132 1023 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 -1 0 1 1 0 0 -1 1 -1 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.810577044042 0.673908407070 10 10 8 6 2031 1302 1023 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 0.471585727773 0.482467565195 7 7 9 9 2310 0132 1302 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.471585727773 0.482467565195 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : d['c_0101_6'], 'c_1001_5' : d['c_0101_6'], 'c_1001_4' : negation(d['c_0011_3']), 'c_1001_7' : d['c_0011_9'], 'c_1001_6' : negation(d['c_0101_9']), 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : d['c_0011_0'], 'c_1001_3' : negation(d['c_0101_2']), 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : negation(d['c_0101_7']), 'c_1001_8' : d['c_0101_9'], 'c_1010_10' : d['c_0011_9'], '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_9']), 's_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : negation(d['1']), 's_2_5' : negation(d['1']), 's_2_6' : 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' : negation(d['1']), 's_0_4' : negation(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_1001_2'], 'c_1100_8' : negation(d['c_1001_2']), 'c_1100_5' : negation(d['c_0011_10']), 'c_1100_4' : negation(d['c_0011_10']), 'c_1100_7' : negation(d['c_0011_10']), 'c_1100_6' : d['c_1001_2'], 'c_1100_1' : negation(d['c_0011_10']), 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : d['c_1001_2'], 'c_1100_10' : d['c_0101_9'], 'c_1010_7' : d['c_0101_6'], 'c_1010_6' : d['c_1001_2'], 'c_1010_5' : d['c_0101_2'], 'c_1010_4' : d['c_0101_9'], 'c_1010_3' : d['c_0011_0'], 'c_1010_2' : d['c_0011_0'], 'c_1010_1' : negation(d['c_0011_3']), 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : negation(d['c_0101_9']), 'c_1010_8' : negation(d['c_0011_3']), 's_3_1' : negation(d['1']), 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : negation(d['1']), 's_3_4' : d['1'], 's_3_7' : negation(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' : d['c_0011_9'], 'c_0011_8' : negation(d['c_0011_10']), 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_10'], 'c_0011_7' : negation(d['c_0011_10']), 'c_0011_6' : negation(d['c_0011_3']), '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_10' : negation(d['c_0101_7']), 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_1'], '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' : negation(d['c_0101_7']), 'c_0011_10' : d['c_0011_10'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_6'], 'c_0110_8' : negation(d['c_0101_9']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_1']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_7'], 'c_0110_7' : d['c_0101_0'], 'c_0110_6' : d['c_0101_2']})} 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_3, c_0011_9, c_0101_0, c_0101_1, c_0101_2, c_0101_6, c_0101_7, c_0101_9, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 20 Groebner basis: [ t - 95703218/340689*c_1001_2^19 - 467975327/681378*c_1001_2^18 - 1066400107/681378*c_1001_2^17 - 692775491/340689*c_1001_2^16 - 854799349/227126*c_1001_2^15 - 3123704479/681378*c_1001_2^14 - 1560722337/227126*c_1001_2^13 - 4339421491/681378*c_1001_2^12 - 2845040470/340689*c_1001_2^11 - 4185479905/681378*c_1001_2^10 - 39757394/5977*c_1001_2^9 - 614647875/227126*c_1001_2^8 - 2163277219/681378*c_1001_2^7 + 327734525/681378*c_1001_2^6 + 82375138/113563*c_1001_2^5 + 1161981728/340689*c_1001_2^4 + 880814101/340689*c_1001_2^3 + 251692447/113563*c_1001_2^2 + 192423569/340689*c_1001_2 - 8119149/227126, c_0011_0 - 1, c_0011_10 - c_1001_2^6 - c_1001_2^4 - 2*c_1001_2^2 - 1, c_0011_3 + c_1001_2^4 + c_1001_2^2 + 1, c_0011_9 + c_1001_2^19 + c_1001_2^18 + 3*c_1001_2^17 + 2*c_1001_2^16 + 7*c_1001_2^15 + 4*c_1001_2^14 + 10*c_1001_2^13 + 4*c_1001_2^12 + 10*c_1001_2^11 + c_1001_2^10 + 5*c_1001_2^9 - 2*c_1001_2^8 - c_1001_2^7 - 4*c_1001_2^6 - 6*c_1001_2^5 - 4*c_1001_2^4 - 5*c_1001_2^3 + c_1001_2^2 - 2*c_1001_2 + 1, c_0101_0 + c_1001_2, c_0101_1 + c_1001_2^2 + 1, c_0101_2 - c_1001_2^3, c_0101_6 - c_1001_2^8 - c_1001_2^6 - 3*c_1001_2^4 - 2*c_1001_2^2 - 1, c_0101_7 + c_1001_2^19 + 2*c_1001_2^18 + 4*c_1001_2^17 + 5*c_1001_2^16 + 10*c_1001_2^15 + 12*c_1001_2^14 + 16*c_1001_2^13 + 16*c_1001_2^12 + 20*c_1001_2^11 + 16*c_1001_2^10 + 13*c_1001_2^9 + 9*c_1001_2^8 + 6*c_1001_2^7 - 5*c_1001_2^5 - 7*c_1001_2^4 - 7*c_1001_2^3 - 5*c_1001_2^2 - 2*c_1001_2 - 2, c_0101_9 + c_1001_2^6 + c_1001_2^4 + 2*c_1001_2^2 + 1, c_1001_2^20 + 2*c_1001_2^19 + 5*c_1001_2^18 + 6*c_1001_2^17 + 13*c_1001_2^16 + 14*c_1001_2^15 + 24*c_1001_2^14 + 20*c_1001_2^13 + 32*c_1001_2^12 + 20*c_1001_2^11 + 29*c_1001_2^10 + 10*c_1001_2^9 + 19*c_1001_2^8 - 2*c_1001_2^7 + 4*c_1001_2^6 - 12*c_1001_2^5 - 5*c_1001_2^4 - 10*c_1001_2^3 - 3*c_1001_2^2 - 3*c_1001_2 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.140 Total time: 0.360 seconds, Total memory usage: 32.09MB