Magma V2.19-8 Tue Aug 20 2013 17:56:58 on localhost [Seed = 2378971545] Type ? for help. Type -D to quit. Loading file "11_303__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation 11_303 geometric_solution 11.34500385 oriented_manifold CS_known -0.0000000000000009 1 0 torus 0.000000000000 0.000000000000 12 1 2 3 1 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 -1 1 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 0.591474041526 0.774253500303 0 0 5 4 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 1 -1 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 0.376943225878 0.815596043754 6 0 8 7 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 -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 0.988668350822 0.665065873350 8 9 9 0 2031 0132 1302 0132 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 1 -1 1 0 0 -1 0 0 0 0 1 5 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.783211456299 0.905537973726 6 10 1 10 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.484516357899 1.060418082828 11 11 10 1 0132 1230 1302 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 -1 1 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 0.778370996473 1.634278180562 2 8 4 11 0132 3120 3201 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 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 0.917754478140 1.123497918216 10 9 2 8 3120 0213 0132 3120 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.963598466606 0.805145360148 7 6 3 2 3120 3120 1302 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 -1 1 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 0.242400204036 0.597636099264 3 3 7 11 2031 0132 0213 2031 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 6 -5 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.453606138107 0.631732830994 5 4 4 7 2031 0132 1230 3120 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.300066490838 1.579962835576 5 9 5 6 0132 1302 3012 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 -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 0.762454700580 0.498753295661 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_11'], 'c_1001_10' : negation(d['c_0101_10']), 'c_1001_5' : d['c_0101_2'], 'c_1001_4' : negation(d['c_0011_7']), 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : negation(d['c_0101_0']), 'c_1001_1' : d['c_0101_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0011_11'], 'c_1001_2' : negation(d['c_0011_0']), 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : d['c_0101_0'], 'c_1010_11' : d['c_0011_8'], 'c_1010_10' : negation(d['c_0011_7']), 's_0_10' : d['1'], 's_0_11' : 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' : negation(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' : 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' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_0011_11' : d['c_0011_11'], 'c_1100_8' : d['c_0011_3'], 'c_1100_5' : d['c_0101_10'], 'c_1100_4' : d['c_0101_10'], 'c_1100_7' : d['c_0011_3'], 'c_1100_6' : d['c_0011_10'], 'c_1100_1' : d['c_0101_10'], 'c_1100_0' : d['c_0011_7'], 'c_1100_3' : d['c_0011_7'], 'c_1100_2' : d['c_0011_3'], 's_3_11' : d['1'], 'c_1100_9' : negation(d['c_0011_8']), 'c_1100_11' : negation(d['c_0101_2']), 'c_1100_10' : negation(d['c_0101_6']), 's_3_10' : d['1'], 'c_1010_7' : negation(d['c_0011_8']), 'c_1010_6' : negation(d['c_0011_8']), 'c_1010_5' : d['c_0101_1'], 'c_1010_4' : negation(d['c_0101_10']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0011_7']), 'c_1010_0' : negation(d['c_0011_0']), 'c_1010_9' : d['c_0011_11'], 'c_1010_8' : negation(d['c_0011_0']), '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' : negation(d['1']), 's_1_7' : d['1'], 's_1_6' : negation(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' : negation(d['1']), 'c_0011_9' : negation(d['c_0011_3']), 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : negation(d['c_0011_11']), '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' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0011_10']), 'c_0110_10' : d['c_0101_2'], 'c_0101_7' : d['c_0101_6'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0011_10']), 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0011_3'], '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_0011_7'], 'c_0101_8' : negation(d['c_0011_3']), 'c_0011_10' : d['c_0011_10'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_11'], '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_0101_6'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : negation(d['c_0101_6']), 'c_0110_7' : d['c_0101_2'], 'c_0110_6' : d['c_0101_2']})} 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_3, c_0011_7, c_0011_8, c_0101_0, c_0101_1, c_0101_10, c_0101_2, c_0101_6, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t - 24279/1216*c_1001_0^12 + 259891/1216*c_1001_0^11 - 69941/64*c_1001_0^10 + 1088823/304*c_1001_0^9 - 1280535/152*c_1001_0^8 + 18009861/1216*c_1001_0^7 - 23719345/1216*c_1001_0^6 + 11533983/608*c_1001_0^5 - 8098493/608*c_1001_0^4 + 974253/152*c_1001_0^3 - 257529/152*c_1001_0^2 - 9381/76*c_1001_0 + 8073/38, c_0011_0 - 1, c_0011_10 + 23/16*c_1001_0^12 - 29/2*c_1001_0^11 + 1131/16*c_1001_0^10 - 1783/8*c_1001_0^9 + 8105/16*c_1001_0^8 - 13763/16*c_1001_0^7 + 4365/4*c_1001_0^6 - 8157/8*c_1001_0^5 + 10987/16*c_1001_0^4 - 2521/8*c_1001_0^3 + 613/8*c_1001_0^2 + 29/4*c_1001_0 - 8, c_0011_11 + 25/16*c_1001_0^12 - 16*c_1001_0^11 + 1257/16*c_1001_0^10 - 1989/8*c_1001_0^9 + 9067/16*c_1001_0^8 - 15437/16*c_1001_0^7 + 1227*c_1001_0^6 - 9205/8*c_1001_0^5 + 12485/16*c_1001_0^4 - 2903/8*c_1001_0^3 + 733/8*c_1001_0^2 + 25/4*c_1001_0 - 19/2, c_0011_3 - 7/16*c_1001_0^12 + 13/4*c_1001_0^11 - 175/16*c_1001_0^10 + 173/8*c_1001_0^9 - 373/16*c_1001_0^8 - 81/16*c_1001_0^7 + 269/4*c_1001_0^6 - 969/8*c_1001_0^5 + 1933/16*c_1001_0^4 - 621/8*c_1001_0^3 + 245/8*c_1001_0^2 - 13/4*c_1001_0 - 5/2, c_0011_7 + 1/16*c_1001_0^12 - 5/8*c_1001_0^11 + 49/16*c_1001_0^10 - 39/4*c_1001_0^9 + 359/16*c_1001_0^8 - 619/16*c_1001_0^7 + 401/8*c_1001_0^6 - 385/8*c_1001_0^5 + 537/16*c_1001_0^4 - 16*c_1001_0^3 + 35/8*c_1001_0^2 - 1/2*c_1001_0, c_0011_8 - 1/16*c_1001_0^12 + 5/8*c_1001_0^11 - 49/16*c_1001_0^10 + 39/4*c_1001_0^9 - 359/16*c_1001_0^8 + 619/16*c_1001_0^7 - 401/8*c_1001_0^6 + 385/8*c_1001_0^5 - 537/16*c_1001_0^4 + 16*c_1001_0^3 - 35/8*c_1001_0^2 - 1/2*c_1001_0 + 1, c_0101_0 - 15/16*c_1001_0^12 + 83/8*c_1001_0^11 - 879/16*c_1001_0^10 + 745/4*c_1001_0^9 - 7241/16*c_1001_0^8 + 13173/16*c_1001_0^7 - 9023/8*c_1001_0^6 + 9183/8*c_1001_0^5 - 13559/16*c_1001_0^4 + 433*c_1001_0^3 - 1029/8*c_1001_0^2 - 1/2*c_1001_0 + 15, c_0101_1 + 15/16*c_1001_0^12 - 83/8*c_1001_0^11 + 879/16*c_1001_0^10 - 745/4*c_1001_0^9 + 7241/16*c_1001_0^8 - 13173/16*c_1001_0^7 + 9023/8*c_1001_0^6 - 9183/8*c_1001_0^5 + 13559/16*c_1001_0^4 - 433*c_1001_0^3 + 1029/8*c_1001_0^2 + 1/2*c_1001_0 - 14, c_0101_10 - 17/8*c_1001_0^12 + 185/8*c_1001_0^11 - 961/8*c_1001_0^10 + 3195/8*c_1001_0^9 - 7613/8*c_1001_0^8 + 1695*c_1001_0^7 - 18117/8*c_1001_0^6 + 8945/4*c_1001_0^5 - 12751/8*c_1001_0^4 + 6243/8*c_1001_0^3 - 214*c_1001_0^2 - 41/4*c_1001_0 + 49/2, c_0101_2 - 25/16*c_1001_0^12 + 16*c_1001_0^11 - 1257/16*c_1001_0^10 + 1989/8*c_1001_0^9 - 9067/16*c_1001_0^8 + 15437/16*c_1001_0^7 - 1227*c_1001_0^6 + 9205/8*c_1001_0^5 - 12485/16*c_1001_0^4 + 2903/8*c_1001_0^3 - 733/8*c_1001_0^2 - 25/4*c_1001_0 + 19/2, c_0101_6 - 37/16*c_1001_0^12 + 26*c_1001_0^11 - 2197/16*c_1001_0^10 + 3681/8*c_1001_0^9 - 17615/16*c_1001_0^8 + 31449/16*c_1001_0^7 - 2626*c_1001_0^6 + 20689/8*c_1001_0^5 - 29377/16*c_1001_0^4 + 7163/8*c_1001_0^3 - 1945/8*c_1001_0^2 - 49/4*c_1001_0 + 55/2, c_1001_0^13 - 12*c_1001_0^12 + 69*c_1001_0^11 - 254*c_1001_0^10 + 671*c_1001_0^9 - 1337*c_1001_0^8 + 2040*c_1001_0^7 - 2374*c_1001_0^6 + 2077*c_1001_0^5 - 1330*c_1001_0^4 + 582*c_1001_0^3 - 132*c_1001_0^2 - 16*c_1001_0 + 16 ], 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_3, c_0011_7, c_0011_8, c_0101_0, c_0101_1, c_0101_10, c_0101_2, c_0101_6, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t - 354619878542/2247701159*c_0101_2*c_0101_6^3*c_1001_0 + 219099451371/2247701159*c_0101_2*c_0101_6^3 + 527860645571/2247701159*c_0101_2*c_0101_6^2*c_1001_0 - 326458395206/2247701159*c_0101_2*c_0101_6^2 - 372949475354/2247701159*c_0101_2*c_0101_6*c_1001_0 + 230120553214/2247701159*c_0101_2*c_0101_6 + 92361969549/2247701159*c_0101_2*c_1001_0 - 57229467811/2247701159*c_0101_2 + 10550982879/72506489*c_0101_6^3*c\ _1001_0 - 6522872643/72506489*c_0101_6^3 - 12752757454/72506489*c_0101_6^2*c_1001_0 + 7882313418/72506489*c_0101_6^2 + 8035497583/72506489*c_0101_6*c_100\ 1_0 - 4957274794/72506489*c_0101_6 - 959372627/72506489*c_1001_0 + 618203449/72506489, c_0011_0 - 1, c_0011_10 - c_0101_2*c_0101_6^2*c_1001_0 + c_0101_2*c_0101_6^2 + c_0101_2 - 2*c_0101_6^3*c_1001_0 + c_0101_6^3, c_0011_11 - c_0101_2 + c_0101_6*c_1001_0, c_0011_3 - c_0101_2*c_1001_0 + c_0101_6, c_0011_7 + c_0101_2*c_0101_6*c_1001_0 + 1, c_0011_8 - c_0101_2*c_0101_6*c_1001_0 + c_0101_2*c_0101_6 - c_0101_6^2*c_1001_0 + c_0101_6^2 + c_1001_0 + 2, c_0101_0 - c_0101_2*c_0101_6*c_1001_0 - c_0101_6^2*c_1001_0 + c_0101_6^2 - 1, c_0101_1 - c_0101_6^2*c_1001_0, c_0101_10 + c_0101_6^3*c_1001_0 - c_0101_6^3 - c_0101_6^2*c_1001_0 - c_1001_0 - 1, c_0101_2^2 - c_0101_2*c_0101_6*c_1001_0 + c_0101_6^2 + 2*c_1001_0 + 3, c_0101_6^4 + c_0101_6^3*c_1001_0 + c_0101_6^3 + c_0101_6^2*c_1001_0 + 2*c_0101_6^2 + 3*c_1001_0 + 5, c_1001_0^2 + c_1001_0 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.450 Total time: 0.660 seconds, Total memory usage: 32.09MB