Magma V2.19-8 Tue Aug 20 2013 23:39:54 on localhost [Seed = 1393899495] Type ? for help. Type -D to quit. Loading file "L12a1399__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L12a1399 geometric_solution 9.04555769 oriented_manifold CS_known 0.0000000000000003 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 10 1 2 3 4 0132 0132 0132 0132 1 1 0 1 0 0 0 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 -1 0 1 0 0 0 0 -5 4 0 1 5 0 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.096196741552 0.669207887462 0 5 2 6 0132 0132 1023 0132 0 1 1 0 0 0 0 0 0 0 0 0 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 1 -1 0 0 0 1 -1 -5 5 0 0 5 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.394773339883 0.732025947916 7 0 1 4 0132 0132 1023 2310 1 0 1 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 1 -1 0 0 0 0 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.429277451952 1.058287559021 4 3 3 0 3201 1230 3012 0132 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 -5 0 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.276419901298 1.378094849504 2 7 0 3 3201 3201 0132 2310 1 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 0 0 0 0 0 0 0 0 0 0 0 -4 -1 5 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 0.096196741552 0.669207887462 6 1 8 9 1023 0132 0132 0132 0 0 0 1 0 0 0 0 0 0 1 -1 0 -1 0 1 -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 -5 5 0 5 0 -5 4 -5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.096196741552 0.669207887462 7 5 1 8 1023 1023 0132 3201 0 1 0 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 0 0 0 0 0 1 -1 1 0 0 -1 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.429277451952 1.058287559021 2 6 4 8 0132 1023 2310 2310 1 0 0 1 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 0 0 0 0 0 0 0 -4 -1 0 5 0 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.394773339883 0.732025947916 7 6 9 5 3201 2310 2310 0132 0 0 1 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 1 0 -1 -5 0 0 5 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.096196741552 0.669207887462 9 8 5 9 3012 3201 0132 1230 0 0 0 0 0 0 0 0 0 0 1 -1 1 0 0 -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 -5 5 -5 0 0 5 -5 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.276419901298 1.378094849504 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_5' : d['c_0101_5'], 'c_1001_4' : d['c_0101_1'], 'c_1001_7' : d['c_0101_0'], 'c_1001_6' : d['c_0101_5'], 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : d['c_0101_3'], 'c_1001_3' : negation(d['c_0011_3']), 'c_1001_2' : d['c_0101_1'], 'c_1001_9' : d['c_0101_2'], 'c_1001_8' : negation(d['c_0101_9']), 's_2_8' : d['1'], 's_2_9' : d['1'], '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_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_0011_9'], 'c_1100_8' : d['c_0011_9'], 'c_1100_5' : d['c_0011_9'], 'c_1100_4' : d['c_0011_3'], 'c_1100_7' : d['c_0011_4'], 'c_1100_6' : negation(d['c_0011_4']), 'c_1100_1' : negation(d['c_0011_4']), 'c_1100_0' : d['c_0011_3'], 'c_1100_3' : d['c_0011_3'], 'c_1100_2' : d['c_0011_4'], 'c_1010_7' : negation(d['c_0101_5']), 'c_1010_6' : d['c_0101_9'], 'c_1010_5' : d['c_0101_2'], 'c_1010_4' : negation(d['c_0101_0']), 'c_1010_3' : d['c_0101_3'], 'c_1010_2' : d['c_0101_3'], 'c_1010_1' : d['c_0101_5'], 'c_1010_0' : d['c_0101_1'], 'c_1010_9' : d['c_0101_9'], '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' : d['c_0011_4'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_0'], '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_0101_7' : negation(d['c_0101_1']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_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_0101_9'], 'c_0101_8' : negation(d['c_0101_2']), 'c_0110_9' : d['c_0011_9'], 'c_0110_8' : d['c_0101_5'], '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_1']), 'c_0110_5' : d['c_0101_9'], 'c_0110_4' : negation(d['c_0101_3']), 'c_0110_7' : d['c_0101_2'], 'c_0110_6' : negation(d['c_0101_5'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 11 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_4, c_0011_9, c_0101_0, c_0101_1, c_0101_2, c_0101_3, c_0101_5, c_0101_9 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 72493400095835240/1796671942138819*c_0101_9^11 + 2896405715684453032/5390015826416457*c_0101_9^10 - 561891687354942098/145676103416661*c_0101_9^9 + 99363400194763358258/5390015826416457*c_0101_9^8 - 664689101483403718871/10780031652832914*c_0101_9^7 + 1582825944986186110969/10780031652832914*c_0101_9^6 - 2697534051507374722151/10780031652832914*c_0101_9^5 + 1634683648827111181030/5390015826416457*c_0101_9^4 - 1377438047876628346966/5390015826416457*c_0101_9^3 + 1535726167107248919131/10780031652832914*c_0101_9^2 - 8939946978395918569/189123362330402*c_0101_9 + 76159089689551399441/10780031652832914, c_0011_0 - 1, c_0011_3 - 240808586235472/145676103416661*c_0101_9^11 + 3064734397156880/145676103416661*c_0101_9^10 - 21252601267619276/145676103416661*c_0101_9^9 + 98059074580538884/145676103416661*c_0101_9^8 - 314329940568422921/145676103416661*c_0101_9^7 + 710866914279577765/145676103416661*c_0101_9^6 - 1140061520613332224/145676103416661*c_0101_9^5 + 1289058370184398018/145676103416661*c_0101_9^4 - 52954618304307586/7667163337719*c_0101_9^3 + 172582931615480684/48558701138887*c_0101_9^2 - 159595165971090059/145676103416661*c_0101_9 + 398454978520702/2555721112573, c_0011_4 + 1, c_0011_9 - 812976992536/2555721112573*c_0101_9^11 + 9814639093592/2555721112573*c_0101_9^10 - 65472730056682/2555721112573*c_0101_9^9 + 290034972924182/2555721112573*c_0101_9^8 - 1766337184319631/5111442225146*c_0101_9^7 + 3744154464907615/5111442225146*c_0101_9^6 - 2764766556326774/2555721112573*c_0101_9^5 + 2801072352965570/2555721112573*c_0101_9^4 - 1867150381687421/2555721112573*c_0101_9^3 + 1492981301721831/5111442225146*c_0101_9^2 - 290390388295457/5111442225146*c_0101_9 + 5630717137431/2555721112573, c_0101_0 - 1, c_0101_1 - 17835309650072/2555721112573*c_0101_9^11 + 232261316453992/2555721112573*c_0101_9^10 - 1641578201377306/2555721112573*c_0101_9^9 + 7726832972738218/2555721112573*c_0101_9^8 - 50787098752855735/5111442225146*c_0101_9^7 + 118526175681747453/5111442225146*c_0101_9^6 - 98758497855522409/2555721112573*c_0101_9^5 + 233599855111799363/5111442225146*c_0101_9^4 - 191698444867473841/5111442225146*c_0101_9^3 + 51924234736413334/2555721112573*c_0101_9^2 - 16702742379126233/2555721112573*c_0101_9 + 4829947304859967/5111442225146, c_0101_2 - 793910800104/2555721112573*c_0101_9^11 + 12535541077352/2555721112573*c_0101_9^10 - 100501166126270/2555721112573*c_0101_9^9 + 530363442515402/2555721112573*c_0101_9^8 - 3941863626274717/5111442225146*c_0101_9^7 + 10493719844164057/5111442225146*c_0101_9^6 - 20049262862252477/5111442225146*c_0101_9^5 + 13619621234102275/2555721112573*c_0101_9^4 - 12840238424111014/2555721112573*c_0101_9^3 + 15964834111563337/5111442225146*c_0101_9^2 - 5876227112727135/5111442225146*c_0101_9 + 960329830332369/5111442225146, c_0101_3 - 40097928359984/145676103416661*c_0101_9^11 + 345536429134912/145676103416661*c_0101_9^10 - 1478244461355196/145676103416661*c_0101_9^9 + 2231150090713736/145676103416661*c_0101_9^8 + 11678869617866387/145676103416661*c_0101_9^7 - 82511760755620768/145676103416661*c_0101_9^6 + 501262245896794271/291352206833322*c_0101_9^5 - 459085216726836418/145676103416661*c_0101_9^4 + 28328683013223610/7667163337719*c_0101_9^3 - 132428717805630180/48558701138887*c_0101_9^2 + 168607312290280793/145676103416661*c_0101_9 - 1103049756043359/5111442225146, c_0101_5 - 28774392/13879153*c_0101_9^11 + 376297376/13879153*c_0101_9^10 - 2660758082/13879153*c_0101_9^9 + 12523626188/13879153*c_0101_9^8 - 82220490923/27758306*c_0101_9^7 + 95655040592/13879153*c_0101_9^6 - 158542225429/13879153*c_0101_9^5 + 371847975041/27758306*c_0101_9^4 - 301352969445/27758306*c_0101_9^3 + 80133555026/13879153*c_0101_9^2 - 50149745971/27758306*c_0101_9 + 6951068177/27758306, c_0101_9^12 - 14*c_0101_9^11 + 419/4*c_0101_9^10 - 523*c_0101_9^9 + 29537/16*c_0101_9^8 - 37679/8*c_0101_9^7 + 140371/16*c_0101_9^6 - 47761/4*c_0101_9^5 + 188005/16*c_0101_9^4 - 32577/4*c_0101_9^3 + 60347/16*c_0101_9^2 - 8379/8*c_0101_9 + 2109/16 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.250 seconds, Total memory usage: 32.09MB