Magma V2.19-8 Tue Aug 20 2013 23:43:57 on localhost [Seed = 3330319313] Type ? for help. Type -D to quit. Loading file "L14n14360__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n14360 geometric_solution 10.39787685 oriented_manifold CS_known -0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 11 1 2 3 4 0132 0132 0132 0132 1 1 1 1 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 -1 0 1 0 0 7 -7 0 0 0 0 7 0 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.661023431039 0.921016090170 0 5 2 4 0132 0132 0132 1230 1 1 1 1 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 0 -7 7 0 0 0 0 -7 -1 0 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.325195449010 0.499653628297 6 0 7 1 0132 0132 0132 0132 1 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 0 0 0 0 0 0 0 0 0 0 1 -8 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.085002487042 1.405867851545 8 5 6 0 0132 0321 0213 0132 1 1 1 1 0 0 0 0 -1 0 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 7 0 0 -7 0 -7 0 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.423114445029 1.059595581143 1 8 0 9 3012 0213 0132 0132 1 1 1 1 0 0 0 0 1 0 -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 -1 1 -7 0 7 0 0 0 0 0 -8 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.022812237058 0.641312626380 8 1 6 3 3012 0132 1023 0321 1 1 1 1 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 -7 0 0 7 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.670810110484 0.637581814298 2 3 5 9 0132 0213 1023 0213 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 0.998336916599 0.645990257831 10 10 10 2 0132 1302 3012 0132 1 1 1 0 0 1 0 -1 -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 -8 0 8 8 0 -8 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 0.211409580472 0.651517099182 3 9 4 5 0132 2103 0213 1230 1 1 1 1 0 0 0 0 1 0 0 -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 -7 0 0 7 0 -1 0 1 0 8 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.594157654222 0.885209155921 10 8 4 6 2310 2103 0132 0213 1 1 1 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 1 -1 0 0 0 0 0 0 0 0 0 8 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.393595773508 0.671399471898 7 7 9 7 0132 1230 3201 2031 1 1 0 1 0 -1 1 0 1 0 0 -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 8 -8 0 -8 0 0 8 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.753658801139 0.622657318339 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : negation(d['c_0101_9']), 'c_1001_5' : d['c_0101_1'], 'c_1001_4' : d['c_0011_9'], 'c_1001_7' : negation(d['c_0011_10']), 'c_1001_6' : d['c_0101_5'], 'c_1001_1' : d['c_1001_0'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0101_5'], 'c_1001_2' : d['c_0011_9'], 'c_1001_9' : negation(d['c_0011_3']), 'c_1001_8' : d['c_0011_9'], 'c_1010_10' : negation(d['c_0011_10']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_10' : d['c_0101_10'], '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' : d['c_1010_6'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_0101_5'], 'c_1100_4' : d['c_1010_6'], 'c_1100_7' : d['c_0101_9'], 'c_1100_6' : negation(d['c_0101_5']), 'c_1100_1' : d['c_0101_9'], 'c_1100_0' : d['c_1010_6'], 'c_1100_3' : d['c_1010_6'], 'c_1100_2' : d['c_0101_9'], 'c_1100_10' : negation(d['c_0011_9']), 'c_1010_7' : d['c_0011_9'], 'c_1010_6' : d['c_1010_6'], 'c_1010_5' : d['c_1001_0'], 'c_1010_4' : negation(d['c_0011_3']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0101_1'], 'c_1010_0' : d['c_0011_9'], 'c_1010_9' : negation(d['c_0101_5']), 'c_1010_8' : d['c_0101_5'], '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' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_10']), 'c_0110_6' : d['c_0101_10'], '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_10']), 'c_0011_6' : d['c_0011_0'], 'c_0101_7' : negation(d['c_0011_10']), 'c_0101_6' : d['c_0101_1'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0011_0'], 'c_0101_2' : d['c_0101_10'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_4'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : d['c_0011_4'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0101_10']), 'c_0110_8' : d['c_0011_0'], 'c_0110_1' : d['c_0011_4'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_4'], 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : negation(d['c_0011_3']), 'c_0110_4' : d['c_0101_9'], 'c_0110_7' : d['c_0101_10'], 'c_1100_8' : negation(d['c_0011_3'])})} 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_9, c_0101_1, c_0101_10, c_0101_5, c_0101_9, c_1001_0, c_1010_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t + 103652956605/12905998016*c_1010_6^10 + 99299176607/5646374132*c_1010_6^9 - 161125558075/135512979168*c_1010_6^8 - 1807639632515/45170993056*c_1010_6^7 - 409838938081/11292748264*c_1010_6^6 + 3864614619259/90341986112*c_1010_6^5 + 378497822235/5646374132*c_1010_6^4 - 217428352031/6452999008*c_1010_6^3 - 1885174703287/45170993056*c_1010_6^2 + 879926736449/33878244792*c_1010_6 + 749056965239/271025958336, c_0011_0 - 1, c_0011_10 + 1, c_0011_3 + 332855222/604968657*c_1010_6^10 + 673849958/604968657*c_1010_6^9 + 153953035/604968657*c_1010_6^8 - 280048322/201656219*c_1010_6^7 - 302430946/201656219*c_1010_6^6 + 247741764/201656219*c_1010_6^5 + 182672630/201656219*c_1010_6^4 - 1398375895/604968657*c_1010_6^3 + 192612792/201656219*c_1010_6^2 + 1217793479/604968657*c_1010_6 - 631930579/604968657, c_0011_4 - 595848806/604968657*c_1010_6^10 - 1354097288/604968657*c_1010_6^9 - 380918462/604968657*c_1010_6^8 + 608979799/201656219*c_1010_6^7 + 710711489/201656219*c_1010_6^6 - 554860659/201656219*c_1010_6^5 - 755737191/201656219*c_1010_6^4 + 2442917677/604968657*c_1010_6^3 - 42769592/201656219*c_1010_6^2 - 944054465/201656219*c_1010_6 + 669809801/604968657, c_0011_9 - 253834798/201656219*c_1010_6^10 - 1585649681/604968657*c_1010_6^9 - 342318299/604968657*c_1010_6^8 + 822252429/201656219*c_1010_6^7 + 850416053/201656219*c_1010_6^6 - 714100673/201656219*c_1010_6^5 - 915110286/201656219*c_1010_6^4 + 981354959/201656219*c_1010_6^3 + 56046952/604968657*c_1010_6^2 - 1017402925/201656219*c_1010_6 + 855752954/604968657, c_0101_1 - 253834798/201656219*c_1010_6^10 - 1585649681/604968657*c_1010_6^9 - 342318299/604968657*c_1010_6^8 + 822252429/201656219*c_1010_6^7 + 850416053/201656219*c_1010_6^6 - 714100673/201656219*c_1010_6^5 - 915110286/201656219*c_1010_6^4 + 981354959/201656219*c_1010_6^3 + 56046952/604968657*c_1010_6^2 - 1017402925/201656219*c_1010_6 + 855752954/604968657, c_0101_10 - 166893118/201656219*c_1010_6^10 - 1063346914/604968657*c_1010_6^9 - 239196985/604968657*c_1010_6^8 + 587421152/201656219*c_1010_6^7 + 666651730/201656219*c_1010_6^6 - 357571234/201656219*c_1010_6^5 - 687135861/201656219*c_1010_6^4 + 538065766/201656219*c_1010_6^3 - 9392608/604968657*c_1010_6^2 - 641026194/201656219*c_1010_6 + 205541935/604968657, c_0101_5 - 21743162/604968657*c_1010_6^10 - 77361564/201656219*c_1010_6^9 - 402824759/604968657*c_1010_6^8 + 11703371/201656219*c_1010_6^7 + 284990206/201656219*c_1010_6^6 + 255853638/201656219*c_1010_6^5 - 174898604/201656219*c_1010_6^4 - 926937878/604968657*c_1010_6^3 + 469700666/604968657*c_1010_6^2 - 7365017/604968657*c_1010_6 - 579389593/604968657, c_0101_9 - 86941680/201656219*c_1010_6^10 - 522302767/604968657*c_1010_6^9 - 103121314/604968657*c_1010_6^8 + 234831277/201656219*c_1010_6^7 + 183764323/201656219*c_1010_6^6 - 356529439/201656219*c_1010_6^5 - 227974425/201656219*c_1010_6^4 + 443289193/201656219*c_1010_6^3 + 65439560/604968657*c_1010_6^2 - 376376731/201656219*c_1010_6 + 650211019/604968657, c_1001_0 - 556472056/604968657*c_1010_6^10 - 1084453850/604968657*c_1010_6^9 - 29029659/201656219*c_1010_6^8 + 630515323/201656219*c_1010_6^7 + 602218312/201656219*c_1010_6^6 - 613923971/201656219*c_1010_6^5 - 737871137/201656219*c_1010_6^4 + 1698056351/604968657*c_1010_6^3 - 156074302/604968657*c_1010_6^2 - 1860892291/604968657*c_1010_6 + 62613563/201656219, c_1010_6^11 + 8/7*c_1010_6^10 - 10/7*c_1010_6^9 - 22/7*c_1010_6^8 + 39/7*c_1010_6^6 - 50/7*c_1010_6^4 + 34/7*c_1010_6^3 + 24/7*c_1010_6^2 - 39/7*c_1010_6 + 16/7 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.100 Total time: 0.310 seconds, Total memory usage: 32.09MB