Magma V2.19-8 Tue Aug 20 2013 23:41:59 on localhost [Seed = 54879813] Type ? for help. Type -D to quit. Loading file "L12n649__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n649 geometric_solution 10.18294813 oriented_manifold CS_known 0.0000000000000004 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 11 1 2 3 4 0132 0132 0132 0132 0 0 1 0 0 1 0 -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 -2 0 2 0 0 2 -2 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.642440319295 0.459621700651 0 4 6 5 0132 2103 0132 0132 1 0 0 1 0 -1 1 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 1 -1 0 0 0 0 0 0 -3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.400083080704 0.510478480977 7 0 8 3 0132 0132 0132 1230 0 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 0 0 0 0 0 2 0 -2 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 1.054434065174 1.355412269371 2 3 3 0 3012 1230 3012 0132 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 2 0 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.970417964869 0.736594873850 5 1 0 9 1302 2103 0132 0132 0 0 1 1 0 -1 1 0 1 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 3 -2 -1 -2 0 2 0 2 -1 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.239560593898 1.314156159144 8 4 1 10 2031 2031 0132 0132 1 0 1 0 0 1 0 -1 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 -2 0 2 0 0 0 0 1 1 0 -2 1 2 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.387884878518 1.393305667291 8 10 7 1 0132 0132 0132 0132 1 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 0 0 0 0 0 0 0 0 0 0 0 -1 1 -1 0 1 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 0.787044115170 1.049789738713 2 8 9 6 0132 3120 2031 0132 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 0 0 0 0 0 0 0 0 -1 0 1 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 0.361029387647 0.396884738656 6 7 5 2 0132 3120 1302 0132 0 0 1 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 0 0 1 0 -1 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 0.481709852916 0.510947711350 10 10 4 7 0132 1302 0132 1302 0 0 1 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 1 -1 0 0 0 0 2 -2 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.674640703154 0.744629222034 9 6 5 9 0132 0132 0132 2031 1 0 1 1 0 0 1 -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 0 -2 2 0 0 0 0 0 -1 0 1 -2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.492721262852 1.127659956835 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : d['c_0011_4'], 'c_1001_5' : negation(d['c_0101_9']), 'c_1001_4' : negation(d['c_0011_0']), 'c_1001_7' : negation(d['c_0101_10']), 'c_1001_6' : negation(d['c_0011_10']), 'c_1001_1' : d['c_0011_4'], 'c_1001_0' : d['c_0101_3'], 'c_1001_3' : negation(d['c_0011_3']), 'c_1001_2' : negation(d['c_0011_0']), 'c_1001_9' : d['c_0101_9'], 'c_1001_8' : d['c_0101_10'], '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_0011_3'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : negation(d['c_1010_9']), 'c_1100_4' : d['c_0011_3'], 'c_1100_7' : negation(d['c_1010_9']), 'c_1100_6' : negation(d['c_1010_9']), 'c_1100_1' : negation(d['c_1010_9']), 'c_1100_0' : d['c_0011_3'], 'c_1100_3' : d['c_0011_3'], 'c_1100_2' : d['c_0101_0'], 'c_1100_10' : negation(d['c_1010_9']), 'c_1010_7' : negation(d['c_0011_10']), 'c_1010_6' : d['c_0011_4'], 'c_1010_5' : d['c_0011_4'], 'c_1010_4' : d['c_0101_9'], 'c_1010_3' : d['c_0101_3'], 'c_1010_2' : d['c_0101_3'], 'c_1010_1' : negation(d['c_0101_9']), 'c_1010_0' : negation(d['c_0011_0']), 'c_1010_9' : d['c_1010_9'], 'c_1010_8' : negation(d['c_0011_0']), 'c_1100_8' : d['c_0101_0'], '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' : negation(d['c_0011_10']), 'c_0011_8' : d['c_0011_10'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : negation(d['c_0011_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' : d['c_0101_9'], 'c_0101_7' : d['c_0011_3'], 'c_0101_6' : d['c_0101_2'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : negation(d['c_0011_5']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_5']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : negation(d['c_0011_5']), 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_10'], 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_5']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0011_3'], 'c_0110_5' : d['c_0101_10'], 'c_0110_4' : d['c_0101_9'], 'c_0110_7' : d['c_0101_2'], 'c_0110_6' : negation(d['c_0011_5'])})} 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_5, c_0101_0, c_0101_10, c_0101_2, c_0101_3, c_0101_9, c_1010_9 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t + 3134290144/119364831*c_1010_9^12 + 551611760/13262759*c_1010_9^11 + 4394551456/119364831*c_1010_9^10 - 775732744/39788277*c_1010_9^9 - 10357304330/119364831*c_1010_9^8 + 11310479927/119364831*c_1010_9^7 + 5919089393/119364831*c_1010_9^6 + 3215714000/119364831*c_1010_9^5 - 4709010745/119364831*c_1010_9^4 - 12442571363/119364831*c_1010_9^3 + 26059722305/119364831*c_1010_9^2 - 16395224941/119364831*c_1010_9 + 5091351088/119364831, c_0011_0 - 1, c_0011_10 + 4915054/13262759*c_1010_9^12 + 18631523/13262759*c_1010_9^11 + 62514483/26525518*c_1010_9^10 + 106699597/53051036*c_1010_9^9 - 38270027/53051036*c_1010_9^8 - 83936503/53051036*c_1010_9^7 + 30327743/26525518*c_1010_9^6 + 142659513/53051036*c_1010_9^5 + 120014075/53051036*c_1010_9^4 - 64831523/53051036*c_1010_9^3 + 5009132/13262759*c_1010_9^2 + 36351505/26525518*c_1010_9 - 9992711/53051036, c_0011_3 + 1754171656/2586238005*c_1010_9^12 + 1446873276/862079335*c_1010_9^11 + 6199215586/2586238005*c_1010_9^10 + 193303713/172415867*c_1010_9^9 - 965442667/517247601*c_1010_9^8 - 104459044/2586238005*c_1010_9^7 + 878382571/517247601*c_1010_9^6 + 6992164421/2586238005*c_1010_9^5 + 229320503/2586238005*c_1010_9^4 - 7626895907/2586238005*c_1010_9^3 + 3833982701/2586238005*c_1010_9^2 + 305849897/2586238005*c_1010_9 + 1720600243/2586238005, c_0011_4 + 2041474/13262759*c_1010_9^12 + 9747917/13262759*c_1010_9^11 + 32455781/26525518*c_1010_9^10 + 68973075/53051036*c_1010_9^9 - 11225813/53051036*c_1010_9^8 - 47526337/53051036*c_1010_9^7 + 577075/26525518*c_1010_9^6 - 1257661/53051036*c_1010_9^5 + 32967357/53051036*c_1010_9^4 - 74186409/53051036*c_1010_9^3 + 8775862/13262759*c_1010_9^2 + 30795329/26525518*c_1010_9 - 18897065/53051036, c_0011_5 - 2201708/13262759*c_1010_9^12 - 1404502/13262759*c_1010_9^11 + 803533/13262759*c_1010_9^10 + 22664091/26525518*c_1010_9^9 + 29897989/26525518*c_1010_9^8 + 342239/26525518*c_1010_9^7 + 4693698/13262759*c_1010_9^6 + 6510549/26525518*c_1010_9^5 + 43934649/26525518*c_1010_9^4 + 8898003/26525518*c_1010_9^3 - 2492772/13262759*c_1010_9^2 + 11866479/13262759*c_1010_9 + 2644689/26525518, c_0101_0 - 1, c_0101_10 - 7222444/13262759*c_1010_9^12 - 25012638/13262759*c_1010_9^11 - 51852383/13262759*c_1010_9^10 - 114831985/26525518*c_1010_9^9 - 42696061/26525518*c_1010_9^8 + 19331087/26525518*c_1010_9^7 + 9392767/13262759*c_1010_9^6 - 72433871/26525518*c_1010_9^5 - 79728981/26525518*c_1010_9^4 - 16905553/26525518*c_1010_9^3 + 2253485/13262759*c_1010_9^2 - 15590605/13262759*c_1010_9 - 24370817/26525518, c_0101_2 + 2201708/13262759*c_1010_9^12 + 1404502/13262759*c_1010_9^11 - 803533/13262759*c_1010_9^10 - 22664091/26525518*c_1010_9^9 - 29897989/26525518*c_1010_9^8 - 342239/26525518*c_1010_9^7 - 4693698/13262759*c_1010_9^6 - 6510549/26525518*c_1010_9^5 - 43934649/26525518*c_1010_9^4 - 8898003/26525518*c_1010_9^3 + 2492772/13262759*c_1010_9^2 - 11866479/13262759*c_1010_9 - 2644689/26525518, c_0101_3 - 1736023136/2586238005*c_1010_9^12 - 2302323976/862079335*c_1010_9^11 - 11317449356/2586238005*c_1010_9^10 - 606384290/172415867*c_1010_9^9 + 1070808005/517247601*c_1010_9^8 + 10311728519/2586238005*c_1010_9^7 - 1147369757/517247601*c_1010_9^6 - 13637455996/2586238005*c_1010_9^5 - 11662372198/2586238005*c_1010_9^4 + 7257577672/2586238005*c_1010_9^3 + 3851831669/2586238005*c_1010_9^2 - 9165400207/2586238005*c_1010_9 + 1276955812/2586238005, c_0101_9 + 1297964/13262759*c_1010_9^12 + 4220430/13262759*c_1010_9^11 + 6547407/13262759*c_1010_9^10 + 3302249/26525518*c_1010_9^9 - 28050419/26525518*c_1010_9^8 - 44440143/26525518*c_1010_9^7 - 16904527/13262759*c_1010_9^6 + 8656195/26525518*c_1010_9^5 + 20383709/26525518*c_1010_9^4 - 1853405/26525518*c_1010_9^3 - 3684356/13262759*c_1010_9^2 - 13366373/13262759*c_1010_9 + 7737471/26525518, c_1010_9^13 + 5/2*c_1010_9^12 + 13/4*c_1010_9^11 + 11/8*c_1010_9^10 - 25/8*c_1010_9^9 + 3/8*c_1010_9^8 + 13/4*c_1010_9^7 + 23/8*c_1010_9^6 + 5/8*c_1010_9^5 - 33/8*c_1010_9^4 + 9/2*c_1010_9^3 + 1/4*c_1010_9^2 - 9/8*c_1010_9 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.240 seconds, Total memory usage: 32.09MB