Magma V2.19-8 Tue Aug 20 2013 23:40:07 on localhost [Seed = 3516380538] Type ? for help. Type -D to quit. Loading file "K14n4738__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K14n4738 geometric_solution 9.93732538 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 11 1 2 3 4 0132 0132 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 1 0 -1 0 0 0 0 22 -22 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.494845351465 1.180950305270 0 5 6 3 0132 0132 0132 2031 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 -22 0 22 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.698175871001 0.720304426875 5 0 8 7 3201 0132 0132 0132 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 0 0 0 0 0 0 1 0 -1 -21 22 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.582411176013 0.909562473471 3 1 3 0 2031 1302 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.411229367875 0.322652192584 5 6 0 5 0321 1023 0132 3012 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 -21 0 21 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.607402081574 1.062963311105 4 1 4 2 0321 0132 1230 2310 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 -21 21 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.305755873572 0.827837490999 4 8 9 1 1023 3012 0132 0132 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 21 1 0 -22 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.416886653848 0.908033056083 8 9 2 10 2103 1230 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 0 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 0.886409241985 1.263604242908 6 10 7 2 1230 2031 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 0 1 -1 -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 0.647357644045 0.336928438521 10 10 7 6 1230 1302 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.296356785540 0.757138707726 8 9 7 9 1302 3012 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 -1 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 0.580439531910 0.217991803291 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : negation(d['c_0011_9']), 'c_1001_5' : d['c_0011_3'], 'c_1001_4' : d['c_0011_10'], 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : negation(d['c_0011_8']), 'c_1001_1' : negation(d['c_0101_7']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0101_0'], 'c_1001_2' : d['c_0011_10'], 'c_1001_9' : negation(d['c_0011_7']), 'c_1001_8' : d['c_0011_7'], '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_8']), '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_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' : negation(d['c_1001_0']), 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : negation(d['c_0011_0']), 'c_1100_4' : negation(d['c_0011_3']), 'c_1100_7' : d['c_0011_8'], 'c_1100_6' : negation(d['c_1001_0']), 'c_1100_1' : negation(d['c_1001_0']), 'c_1100_0' : negation(d['c_0011_3']), 'c_1100_3' : negation(d['c_0011_3']), 'c_1100_2' : d['c_0011_8'], 'c_1100_10' : d['c_0011_8'], 'c_1010_7' : negation(d['c_0011_9']), 'c_1010_6' : negation(d['c_0101_7']), 'c_1010_5' : negation(d['c_0101_7']), 'c_1010_4' : d['c_0101_1'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0011_3'], 'c_1010_0' : d['c_0011_10'], 'c_1010_9' : negation(d['c_0011_8']), 'c_1010_8' : d['c_0011_10'], 'c_1100_8' : d['c_0011_8'], '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' : d['c_0011_9'], 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : d['c_0011_4'], '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_0011_7']), 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0011_10'], 'c_0101_5' : negation(d['c_0101_1']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_3']), 'c_0101_2' : d['c_0011_4'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_9']), 'c_0101_8' : d['c_0101_7'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_10'], 'c_0110_8' : d['c_0011_4'], '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_7'], 'c_0110_5' : negation(d['c_0011_4']), 'c_0110_4' : negation(d['c_0011_0']), 'c_0110_7' : negation(d['c_0011_8']), 'c_0110_6' : d['c_0101_1']})} 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_4, c_0011_7, c_0011_8, c_0011_9, c_0101_0, c_0101_1, c_0101_7, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 15 Groebner basis: [ t + 7722004700477/255254734259*c_1001_0^14 + 1698949011699/36464962037*c_1001_0^13 + 6917315672298/36464962037*c_1001_0^12 + 54695141325578/255254734259*c_1001_0^11 + 97317220218538/255254734259*c_1001_0^10 + 123793946783137/255254734259*c_1001_0^9 + 17678212456432/255254734259*c_1001_0^8 + 158069053412779/255254734259*c_1001_0^7 + 94930674138224/255254734259*c_1001_0^6 + 27534817138678/255254734259*c_1001_0^5 + 5786931094055/255254734259*c_1001_0^4 + 17885754646331/36464962037*c_1001_0^3 + 249369809909191/255254734259*c_1001_0^2 - 241795281399342/255254734259*c_1001_0 - 1662881988840/255254734259, c_0011_0 - 1, c_0011_10 - 12970668672/255254734259*c_1001_0^14 - 4078609072/36464962037*c_1001_0^13 - 13900634732/36464962037*c_1001_0^12 - 149555232829/255254734259*c_1001_0^11 - 247177479236/255254734259*c_1001_0^10 - 344870300270/255254734259*c_1001_0^9 - 237306246790/255254734259*c_1001_0^8 - 367648987568/255254734259*c_1001_0^7 - 410594617292/255254734259*c_1001_0^6 - 284588269130/255254734259*c_1001_0^5 - 138897269120/255254734259*c_1001_0^4 - 44561016432/36464962037*c_1001_0^3 - 737870503798/255254734259*c_1001_0^2 - 2674685838/255254734259*c_1001_0 + 273908816585/255254734259, c_0011_3 + 18654082326/255254734259*c_1001_0^14 + 3476785140/36464962037*c_1001_0^13 + 14575473254/36464962037*c_1001_0^12 + 89236380136/255254734259*c_1001_0^11 + 148910084387/255254734259*c_1001_0^10 + 163212331936/255254734259*c_1001_0^9 - 158329477010/255254734259*c_1001_0^8 + 173083564382/255254734259*c_1001_0^7 + 42740823604/255254734259*c_1001_0^6 - 224053794032/255254734259*c_1001_0^5 - 228626022152/255254734259*c_1001_0^4 + 25460304346/36464962037*c_1001_0^3 + 434236178016/255254734259*c_1001_0^2 - 1036335821014/255254734259*c_1001_0 - 263831838402/255254734259, c_0011_4 + c_1001_0, c_0011_7 - 51639324728/255254734259*c_1001_0^14 - 14270706259/36464962037*c_1001_0^13 - 50813549523/36464962037*c_1001_0^12 - 493285664425/255254734259*c_1001_0^11 - 793041604139/255254734259*c_1001_0^10 - 1082684536041/255254734259*c_1001_0^9 - 430337697967/255254734259*c_1001_0^8 - 1130150413435/255254734259*c_1001_0^7 - 1048148548240/255254734259*c_1001_0^6 - 530145788223/255254734259*c_1001_0^5 - 192461453006/255254734259*c_1001_0^4 - 123722938671/36464962037*c_1001_0^3 - 2018428675379/255254734259*c_1001_0^2 + 814696997944/255254734259*c_1001_0 + 531760564257/255254734259, c_0011_8 + 11783432023/255254734259*c_1001_0^14 + 485580548/5209280291*c_1001_0^13 + 11155910219/36464962037*c_1001_0^12 + 109620858169/255254734259*c_1001_0^11 + 156530086647/255254734259*c_1001_0^10 + 215757810609/255254734259*c_1001_0^9 + 46142810351/255254734259*c_1001_0^8 + 168547694326/255254734259*c_1001_0^7 + 210184520859/255254734259*c_1001_0^6 + 33760989242/255254734259*c_1001_0^5 - 111300407524/255254734259*c_1001_0^4 + 17649482031/36464962037*c_1001_0^3 + 321769993995/255254734259*c_1001_0^2 - 270596799461/255254734259*c_1001_0 - 309956150759/255254734259, c_0011_9 - 50680652601/255254734259*c_1001_0^14 - 13356016626/36464962037*c_1001_0^13 - 48744388745/36464962037*c_1001_0^12 - 457726529254/255254734259*c_1001_0^11 - 751261053439/255254734259*c_1001_0^10 - 1014196758732/255254734259*c_1001_0^9 - 373742823603/255254734259*c_1001_0^8 - 1054373045986/255254734259*c_1001_0^7 - 949047427758/255254734259*c_1001_0^6 - 265456374157/255254734259*c_1001_0^5 - 95554202027/255254734259*c_1001_0^4 - 120418968935/36464962037*c_1001_0^3 - 1894592172484/255254734259*c_1001_0^2 + 1171942003236/255254734259*c_1001_0 + 566036098935/255254734259, c_0101_0 + 36047334174/255254734259*c_1001_0^14 + 10468843571/36464962037*c_1001_0^13 + 36726879410/36464962037*c_1001_0^12 + 379686413331/255254734259*c_1001_0^11 + 616691721444/255254734259*c_1001_0^10 + 883688744417/255254734259*c_1001_0^9 + 489585831401/255254734259*c_1001_0^8 + 984204788267/255254734259*c_1001_0^7 + 992142645070/255254734259*c_1001_0^6 + 560883438173/255254734259*c_1001_0^5 + 358969282410/255254734259*c_1001_0^4 + 123286051086/36464962037*c_1001_0^3 + 1630274107767/255254734259*c_1001_0^2 - 415911571240/255254734259*c_1001_0 - 231391193137/255254734259, c_0101_1 - 1, c_0101_7 - 12970668672/255254734259*c_1001_0^14 - 4078609072/36464962037*c_1001_0^13 - 13900634732/36464962037*c_1001_0^12 - 149555232829/255254734259*c_1001_0^11 - 247177479236/255254734259*c_1001_0^10 - 344870300270/255254734259*c_1001_0^9 - 237306246790/255254734259*c_1001_0^8 - 367648987568/255254734259*c_1001_0^7 - 410594617292/255254734259*c_1001_0^6 - 284588269130/255254734259*c_1001_0^5 - 138897269120/255254734259*c_1001_0^4 - 44561016432/36464962037*c_1001_0^3 - 737870503798/255254734259*c_1001_0^2 - 2674685838/255254734259*c_1001_0 + 273908816585/255254734259, c_1001_0^15 + 2*c_1001_0^14 + 7*c_1001_0^13 + 10*c_1001_0^12 + 16*c_1001_0^11 + 22*c_1001_0^10 + 10*c_1001_0^9 + 22*c_1001_0^8 + 22*c_1001_0^7 + 10*c_1001_0^6 + 3*c_1001_0^5 + 17*c_1001_0^4 + 40*c_1001_0^3 - 16*c_1001_0^2 - 14*c_1001_0 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.190 Total time: 0.400 seconds, Total memory usage: 32.09MB