Magma V2.19-8 Tue Aug 20 2013 23:30:36 on localhost [Seed = 3019232640] Type ? for help. Type -D to quit. Loading file "L14a21827__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L14a21827 geometric_solution 6.56450513 oriented_manifold CS_known -0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 8 1 2 1 3 0132 0132 2310 0132 1 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 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 0.828418925493 0.581826140150 0 0 1 1 0132 3201 2031 1302 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.568917704434 0.163404154082 4 0 4 3 0132 0132 3120 1230 1 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 0 0 0 0 0 0 0 0 -1 1 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 0.824268460989 0.984438127155 2 5 0 5 3012 0132 0132 1230 1 1 0 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 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 0 -1 1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.824268460989 0.984438127155 2 6 2 5 0132 0132 3120 1302 1 0 1 1 0 1 0 -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 1 -1 0 1 0 0 -1 0 -1 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.824268460989 0.984438127155 3 3 4 6 3012 0132 2031 1230 1 1 1 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 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 0.175731539011 0.984438127155 5 4 7 7 3012 0132 2310 0132 1 1 1 1 0 -1 0 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 -1 0 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 0.171581074507 0.581826140150 7 6 6 7 3201 3201 0132 2310 1 1 1 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 -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 -1.028308889430 0.768841823718 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(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_2_0' : d['1'], 's_2_1' : negation(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_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_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_5' : d['c_0101_7'], 'c_1100_4' : negation(d['c_0101_2']), 'c_1100_7' : d['c_0011_7'], 'c_1100_6' : d['c_0011_7'], 'c_1100_1' : d['c_0101_1'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : negation(d['c_0011_3']), 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0101_2']), 'c_0101_4' : d['c_0011_3'], '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_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : negation(d['c_0011_0']), 'c_0110_5' : 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_1001_5' : negation(d['c_0101_2']), 'c_1001_4' : negation(d['c_0101_6']), 'c_1001_7' : negation(d['c_0101_6']), 'c_1001_6' : negation(d['c_0101_7']), 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : d['c_0101_6'], 'c_1001_2' : d['c_0101_6'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0011_3']), 'c_0110_2' : d['c_0011_3'], 's_3_0' : d['1'], 'c_0110_4' : d['c_0101_2'], 'c_0110_7' : negation(d['c_0101_7']), 'c_0110_6' : d['c_0101_7'], 'c_1010_7' : d['c_0101_7'], 'c_1010_6' : negation(d['c_0101_6']), 'c_1010_5' : d['c_0101_6'], 'c_1010_4' : negation(d['c_0101_7']), 'c_1010_3' : negation(d['c_0101_2']), 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : d['c_0101_6'], 'c_0011_1' : negation(d['c_0011_0'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 9 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_7, c_0101_0, c_0101_1, c_0101_2, c_0101_6, c_0101_7 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 2 Groebner basis: [ t + 17/6*c_0101_7 - 97/18, c_0011_0 - 1, c_0011_3 + 3/2*c_0101_7 - 7/2, c_0011_7 + 3/2*c_0101_7 - 1/2, c_0101_0 - c_0101_7 + 2, c_0101_1 + 1/2*c_0101_7 - 3/2, c_0101_2 - 1, c_0101_6 + 1/2*c_0101_7 + 1/2, c_0101_7^2 - 8/3*c_0101_7 + 1/3 ], Ideal of Polynomial ring of rank 9 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_7, c_0101_0, c_0101_1, c_0101_2, c_0101_6, c_0101_7 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 2427702663623/26330458549*c_0101_7^9 + 37273628430178/1816801639881*c_0101_7^8 + 346972811489840/1816801639881*c_0101_7^7 - 193434122762024/1816801639881*c_0101_7^6 - 12521028826197/26330458549*c_0101_7^5 + 95255538607568/1816801639881*c_0101_7^4 + 329184197973332/1816801639881*c_0101_7^3 + 86519356509781/605600546627*c_0101_7^2 - 74594205532387/1816801639881*c_0101_7 + 12462260534736/605600546627, c_0011_0 - 1, c_0011_3 + 980366665352/78991375647*c_0101_7^9 - 220050292267/78991375647*c_0101_7^8 - 2031622849534/78991375647*c_0101_7^7 + 366898757617/26330458549*c_0101_7^6 + 5073652414853/78991375647*c_0101_7^5 - 168224067787/26330458549*c_0101_7^4 - 1978207595306/78991375647*c_0101_7^3 - 559915298499/26330458549*c_0101_7^2 + 522080314982/78991375647*c_0101_7 - 164949979444/78991375647, c_0011_7 - 34879083125/78991375647*c_0101_7^9 + 3720626088/26330458549*c_0101_7^8 + 80741521058/78991375647*c_0101_7^7 - 66921072832/78991375647*c_0101_7^6 - 214878234290/78991375647*c_0101_7^5 + 66773872909/78991375647*c_0101_7^4 + 45059382459/26330458549*c_0101_7^3 - 5766226460/26330458549*c_0101_7^2 - 113692510903/78991375647*c_0101_7 - 10534604168/78991375647, c_0101_0 + 459937304852/78991375647*c_0101_7^9 - 124017390058/78991375647*c_0101_7^8 - 954818989469/78991375647*c_0101_7^7 + 587761836850/78991375647*c_0101_7^6 + 2322477647830/78991375647*c_0101_7^5 - 129017994845/26330458549*c_0101_7^4 - 846135346810/78991375647*c_0101_7^3 - 674640082151/78991375647*c_0101_7^2 + 103002518186/78991375647*c_0101_7 - 22096638197/26330458549, c_0101_1 + 386227586687/78991375647*c_0101_7^9 + 1405910898/26330458549*c_0101_7^8 - 278205187097/26330458549*c_0101_7^7 + 228430922390/78991375647*c_0101_7^6 + 2139398265310/78991375647*c_0101_7^5 + 281826331526/78991375647*c_0101_7^4 - 946000144106/78991375647*c_0101_7^3 - 896783413331/78991375647*c_0101_7^2 + 126389317189/78991375647*c_0101_7 - 10950613639/26330458549, c_0101_2 - 1, c_0101_6 + 26107390367/26330458549*c_0101_7^9 - 28264881206/78991375647*c_0101_7^8 - 59347618623/26330458549*c_0101_7^7 + 43064816823/26330458549*c_0101_7^6 + 433069824367/78991375647*c_0101_7^5 - 145348177474/78991375647*c_0101_7^4 - 230508216281/78991375647*c_0101_7^3 + 10584663494/78991375647*c_0101_7^2 + 90797846300/78991375647*c_0101_7 + 36366738023/78991375647, c_0101_7^10 - 7/23*c_0101_7^9 - 47/23*c_0101_7^8 + 30/23*c_0101_7^7 + 116/23*c_0101_7^6 - 22/23*c_0101_7^5 - 43/23*c_0101_7^4 - 34/23*c_0101_7^3 + 12/23*c_0101_7^2 - 6/23*c_0101_7 + 1/23 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.230 seconds, Total memory usage: 32.09MB