Magma V2.19-8 Wed Aug 21 2013 00:57:51 on localhost [Seed = 4173259334] Type ? for help. Type -D to quit. Loading file "L13n4541__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n4541 geometric_solution 11.24872237 oriented_manifold CS_known 0.0000000000000000 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 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 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 0 0.724407752729 0.770762309910 0 5 2 3 0132 0132 2031 2031 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 -2 3 -1 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 0.325348615698 0.850043317612 5 0 6 1 2103 0132 0132 1302 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 1 -1 0 0 0 -1 1 3 0 0 -3 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.114011228485 0.696006913778 5 1 6 0 0132 1302 1302 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 0 1 -1 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 1.624986297722 0.778939319211 7 8 0 9 0132 0132 0132 0132 1 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 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 -0.531989424834 0.575669210367 3 1 2 10 0132 0132 2103 0132 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 2 -3 1 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 0.663273829150 0.336735437611 3 10 9 2 2031 2031 2031 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 0 -1 1 -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 1.163005460383 1.298452954554 4 11 8 12 0132 0132 1023 0132 1 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.936612728200 1.408113113507 11 4 7 10 0132 0132 1023 2031 1 1 1 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 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.334537002290 1.177915300069 12 12 4 6 1302 3012 0132 1302 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 -1 0 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.467819332897 0.740483852864 6 8 5 11 1302 1302 0132 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 -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 0.711268606083 1.079476494291 8 7 10 12 0132 0132 2031 1023 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 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.072338814766 0.611805286159 9 9 7 11 1230 2031 0132 1023 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 0 0 0 0 0 0 0 1 0 -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 0.467819332897 0.740483852864 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0110_10']), 'c_1001_10' : d['c_0101_11'], 'c_1001_12' : negation(d['c_0110_10']), 'c_1001_5' : negation(d['c_0011_0']), 'c_1001_4' : d['c_0011_10'], 'c_1001_7' : d['c_0011_9'], 'c_1001_6' : negation(d['c_0110_10']), 'c_1001_1' : d['c_0101_11'], '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_12']), 'c_1001_8' : negation(d['c_0011_12']), 'c_1010_12' : d['c_0011_9'], 'c_1010_11' : d['c_0011_9'], 'c_1010_10' : d['c_1010_10'], 's_3_11' : d['1'], 's_3_10' : d['1'], 's_0_12' : negation(d['1']), 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : negation(d['1']), 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : negation(d['c_0011_6']), '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_12' : negation(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' : 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_0011_11' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0101_11'], 'c_1100_4' : d['c_0101_6'], 'c_1100_7' : d['c_1010_10'], 'c_1100_6' : d['c_0101_1'], 'c_1100_1' : negation(d['c_1001_0']), 'c_1100_0' : d['c_0101_6'], 'c_1100_3' : d['c_0101_6'], 'c_1100_2' : d['c_0101_1'], 's_0_10' : d['1'], 'c_1100_9' : d['c_0101_6'], 'c_1100_11' : negation(d['c_1010_10']), 'c_1100_10' : d['c_0101_11'], 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0110_10']), 'c_1010_6' : d['c_0011_10'], 'c_1010_5' : d['c_0101_11'], 'c_1010_4' : negation(d['c_0011_12']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : d['c_0011_10'], 'c_1010_9' : negation(d['c_0101_1']), 'c_1010_8' : d['c_0011_10'], 'c_1100_8' : negation(d['c_1010_10']), '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' : negation(d['1']), 's_3_7' : negation(d['1']), 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : d['c_1010_10'], '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' : negation(d['1']), 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_9'], 'c_0011_8' : negation(d['c_0011_11']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_11'], 'c_0011_7' : negation(d['c_0011_11']), 'c_0011_6' : d['c_0011_6'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_0']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0011_9'], 'c_0110_10' : d['c_0110_10'], 'c_0110_12' : d['c_0011_9'], 'c_0101_12' : d['c_0101_1'], 'c_0101_7' : negation(d['c_0011_12']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_6']), 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_12']), 'c_0101_8' : d['c_0011_9'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0110_10'], 'c_0110_8' : d['c_0101_11'], '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_11']), 'c_0110_5' : negation(d['c_0011_6']), 'c_0110_4' : negation(d['c_0011_12']), 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0101_0']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_12, c_0011_6, c_0011_9, c_0101_0, c_0101_1, c_0101_11, c_0101_6, c_0110_10, c_1001_0, c_1010_10 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t - 120737782659406503/5117267766530628368*c_1010_10^10 - 31084610547088863/930412321187386976*c_1010_10^9 + 3864139940477790293/2558633883265314184*c_1010_10^8 - 3640150796948361667/10234535533061256736*c_1010_10^7 - 16357095047633500005/2558633883265314184*c_1010_10^6 + 4001296041571296311/639658470816328546*c_1010_10^5 + 25038866029134417133/2558633883265314184*c_1010_10^4 - 192340243266684125709/10234535533061256736*c_1010_10^3 + 10580847115847063743/10234535533061256736*c_1010_10^2 + 161151523186202552841/10234535533061256736*c_1010_10 - 106907265874647452171/10234535533061256736, c_0011_0 - 1, c_0011_10 - 47579665/853955587*c_1010_10^10 - 451890099/853955587*c_1010_10^9 - 253021475/853955587*c_1010_10^8 + 973297400/853955587*c_1010_10^7 - 240342229/853955587*c_1010_10^6 - 1088702612/853955587*c_1010_10^5 + 1458400787/853955587*c_1010_10^4 - 375826199/853955587*c_1010_10^3 - 5588339/853955587*c_1010_10^2 + 991435529/853955587*c_1010_10 - 704997017/853955587, c_0011_11 - 1, c_0011_12 + 20535975/853955587*c_1010_10^10 + 327014799/1707911174*c_1010_10^9 - 230715000/853955587*c_1010_10^8 - 1846449359/1707911174*c_1010_10^7 + 1055473192/853955587*c_1010_10^6 + 1931136709/853955587*c_1010_10^5 - 2667687272/853955587*c_1010_10^4 - 2843460297/1707911174*c_1010_10^3 + 5357437441/1707911174*c_1010_10^2 + 1091401571/1707911174*c_1010_10 - 1543332855/1707911174, c_0011_6 + 102007253/853955587*c_1010_10^10 + 845622305/853955587*c_1010_10^9 - 815302441/853955587*c_1010_10^8 - 4384416862/853955587*c_1010_10^7 + 3589845360/853955587*c_1010_10^6 + 8317114450/853955587*c_1010_10^5 - 9708300090/853955587*c_1010_10^4 - 6510153240/853955587*c_1010_10^3 + 10787929359/853955587*c_1010_10^2 + 1903380263/853955587*c_1010_10 - 5415066705/853955587, c_0011_9 - 552737/853955587*c_1010_10^10 + 14067314/853955587*c_1010_10^9 + 136673568/853955587*c_1010_10^8 - 301643126/853955587*c_1010_10^7 - 625418673/853955587*c_1010_10^6 + 1017841929/853955587*c_1010_10^5 + 650717074/853955587*c_1010_10^4 - 1653623424/853955587*c_1010_10^3 - 163471603/853955587*c_1010_10^2 + 751340097/853955587*c_1010_10 + 179337606/853955587, c_0101_0 + 9337147/853955587*c_1010_10^10 + 116219553/853955587*c_1010_10^9 + 294743658/853955587*c_1010_10^8 - 202343579/853955587*c_1010_10^7 - 637759863/853955587*c_1010_10^6 + 477140868/853955587*c_1010_10^5 + 43011784/853955587*c_1010_10^4 - 1381492462/853955587*c_1010_10^3 + 482834768/853955587*c_1010_10^2 + 83034338/853955587*c_1010_10 - 879151805/853955587, c_0101_1 - 111893811/1707911174*c_1010_10^10 - 479769538/853955587*c_1010_10^9 + 522839031/1707911174*c_1010_10^8 + 2049547416/853955587*c_1010_10^7 - 1293407656/853955587*c_1010_10^6 - 3354966910/853955587*c_1010_10^5 + 8186182449/1707911174*c_1010_10^4 + 5953171465/1707911174*c_1010_10^3 - 7276840079/1707911174*c_1010_10^2 - 2580290247/1707911174*c_1010_10 + 2184367573/853955587, c_0101_11 - 83654190/853955587*c_1010_10^10 - 735539756/853955587*c_1010_10^9 + 230023992/853955587*c_1010_10^8 + 3019673222/853955587*c_1010_10^7 - 2086727803/853955587*c_1010_10^6 - 5952953499/853955587*c_1010_10^5 + 6146607896/853955587*c_1010_10^4 + 4467828504/853955587*c_1010_10^3 - 7313630517/853955587*c_1010_10^2 - 806719415/853955587*c_1010_10 + 3861875024/853955587, c_0101_6 + 156277240/853955587*c_1010_10^10 + 1363414937/853955587*c_1010_10^9 - 497980084/853955587*c_1010_10^8 - 5389720348/853955587*c_1010_10^7 + 4190647493/853955587*c_1010_10^6 + 9870760071/853955587*c_1010_10^5 - 12269986793/853955587*c_1010_10^4 - 6256030848/853955587*c_1010_10^3 + 13058600459/853955587*c_1010_10^2 - 440029856/853955587*c_1010_10 - 7566437834/853955587, c_0110_10 + 24731582/853955587*c_1010_10^10 + 231843617/853955587*c_1010_10^9 + 100553468/853955587*c_1010_10^8 - 494269036/853955587*c_1010_10^7 + 640893179/853955587*c_1010_10^6 + 1036353681/853955587*c_1010_10^5 - 1374771758/853955587*c_1010_10^4 + 154431547/853955587*c_1010_10^3 + 874942995/853955587*c_1010_10^2 - 1330388044/853955587*c_1010_10 + 210128226/853955587, c_1001_0 + 75187685/1707911174*c_1010_10^10 + 369686989/853955587*c_1010_10^9 + 647717867/1707911174*c_1010_10^8 - 684803776/853955587*c_1010_10^7 - 209709901/853955587*c_1010_10^6 + 990805959/853955587*c_1010_10^5 - 1062798061/1707911174*c_1010_10^4 - 1868521993/1707911174*c_1010_10^3 + 328242395/1707911174*c_1010_10^2 + 386968551/1707911174*c_1010_10 - 631175892/853955587, c_1010_10^11 + 10*c_1010_10^10 + 8*c_1010_10^9 - 38*c_1010_10^8 - 17*c_1010_10^7 + 94*c_1010_10^6 - c_1010_10^5 - 139*c_1010_10^4 + 28*c_1010_10^3 + 102*c_1010_10^2 - 39*c_1010_10 - 53 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.280 Total time: 0.490 seconds, Total memory usage: 32.09MB