Magma V2.19-8 Tue Aug 20 2013 17:56:03 on localhost [Seed = 593663202] Type ? for help. Type -D to quit. Loading file "10_156__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation 10_156 geometric_solution 11.16339064 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 12 1 2 3 2 0132 0132 0132 1230 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.528949016327 0.534051757955 0 4 4 5 0132 0132 1302 0132 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 1 -1 0 0 0 1 -1 0 -1 0 1 1 -5 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.630836494220 0.805536982129 0 0 7 6 3012 0132 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.928910858358 1.053148160357 8 6 4 0 0132 0132 0321 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.041077477259 0.732833598590 1 1 3 9 2031 0132 0321 0132 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 -1 1 0 1 0 -1 0 -4 5 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.397392366318 0.769490571792 7 6 1 10 1023 1023 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 1 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.903796893642 0.796114394347 5 3 2 11 1023 0132 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.592133435517 0.453537803392 10 5 8 2 0132 1023 1023 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.072396674553 1.044900428547 3 11 7 9 0132 0132 1023 0213 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.570771583165 1.084516731822 10 11 4 8 3012 1302 0132 0213 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.263286246024 1.473865654458 7 11 5 9 0132 1023 0132 1230 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.452415331083 0.322831209325 10 8 6 9 1023 0132 0132 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.570771583165 1.084516731822 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_11'], 'c_1001_10' : d['c_0101_11'], 'c_1001_5' : d['c_0101_6'], 'c_1001_4' : d['c_0101_6'], 'c_1001_7' : d['c_0101_0'], 'c_1001_6' : d['c_1001_0'], 'c_1001_1' : d['c_0101_9'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_11'], 'c_1001_2' : d['c_0101_10'], 'c_1001_9' : d['c_0101_9'], 'c_1001_8' : d['c_0011_9'], 'c_1010_11' : d['c_0011_9'], 'c_1010_10' : d['c_0101_9'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0101_10'], '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_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' : 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_1100_9' : d['c_1001_11'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : negation(d['c_0101_3']), 'c_1100_4' : d['c_1001_11'], 'c_1100_7' : negation(d['c_1010_9']), 'c_1100_6' : negation(d['c_1010_9']), 'c_1100_1' : negation(d['c_0101_3']), 'c_1100_0' : d['c_0101_6'], 'c_1100_3' : d['c_0101_6'], 'c_1100_2' : negation(d['c_1010_9']), 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_1010_9']), 'c_1100_10' : negation(d['c_0101_3']), 's_0_11' : d['1'], 'c_1010_7' : d['c_0101_10'], 'c_1010_6' : d['c_1001_11'], 'c_1010_5' : d['c_0101_11'], 'c_1010_4' : d['c_0101_9'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0101_6'], 'c_1010_0' : d['c_0101_10'], 'c_1010_9' : d['c_1010_9'], 'c_1010_8' : d['c_1001_11'], 'c_1100_8' : d['c_1010_9'], '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' : negation(d['1']), 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : negation(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_10']), 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_10']), '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_10'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_9'], 'c_0110_10' : d['c_0011_9'], 'c_0110_0' : negation(d['c_0011_0']), 'c_0101_7' : d['c_0011_9'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : negation(d['c_0101_3']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_10'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : d['c_0101_0'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0101_3']), 'c_0110_8' : d['c_0101_3'], 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : d['c_0011_10'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_6'], 'c_0110_5' : d['c_0101_10'], 'c_0110_4' : d['c_0101_9'], 'c_0110_7' : d['c_0101_10'], 'c_0110_6' : d['c_0101_11']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_9, c_0101_0, c_0101_10, c_0101_11, c_0101_3, c_0101_6, c_0101_9, c_1001_0, c_1001_11, c_1010_9 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 38865741990/13315119227*c_1010_9^9 - 1058263033873/106520953816*c_1010_9^8 + 1167440672387/79890715362*c_1010_9^7 + 18558096685139/1278251445792*c_1010_9^6 - 9245311323653/159781430724*c_1010_9^5 + 60601172848703/1278251445792*c_1010_9^4 + 63240596914283/639125722896*c_1010_9^3 - 16276290262607/159781430724*c_1010_9^2 + 17604098028697/1278251445792*c_1010_9 + 1296298352230/39945357681, c_0011_0 - 1, c_0011_10 - 2891667209/53260476908*c_1010_9^9 + 2381760825/13315119227*c_1010_9^8 - 57659151895/213041907632*c_1010_9^7 - 9076572535/53260476908*c_1010_9^6 + 173122680877/213041907632*c_1010_9^5 - 75172706681/106520953816*c_1010_9^4 - 17192196871/13315119227*c_1010_9^3 + 204576591963/213041907632*c_1010_9^2 - 29968673123/53260476908*c_1010_9 + 12523308195/13315119227, c_0011_9 + 928854855/53260476908*c_1010_9^9 - 591782617/13315119227*c_1010_9^8 + 14640147929/213041907632*c_1010_9^7 + 3993185131/53260476908*c_1010_9^6 - 26275238067/213041907632*c_1010_9^5 + 7923177267/106520953816*c_1010_9^4 + 4256805285/13315119227*c_1010_9^3 + 69140111163/213041907632*c_1010_9^2 + 11103075595/53260476908*c_1010_9 - 8559827477/13315119227, c_0101_0 + 8558257/53260476908*c_1010_9^9 + 614684895/13315119227*c_1010_9^8 - 27558344337/213041907632*c_1010_9^7 + 7491221135/53260476908*c_1010_9^6 + 69497988683/213041907632*c_1010_9^5 - 72913120767/106520953816*c_1010_9^4 + 948843684/13315119227*c_1010_9^3 + 371774895309/213041907632*c_1010_9^2 - 33530385565/53260476908*c_1010_9 + 2190734225/13315119227, c_0101_10 - 945520439/26630238454*c_1010_9^9 + 1940540192/13315119227*c_1010_9^8 - 27775991625/106520953816*c_1010_9^7 - 118286441/13315119227*c_1010_9^6 + 76549331259/106520953816*c_1010_9^5 - 54050454193/53260476908*c_1010_9^4 - 3418735499/13315119227*c_1010_9^3 + 120675967933/106520953816*c_1010_9^2 - 17356867381/13315119227*c_1010_9 + 20825252428/13315119227, c_0101_11 - 842250559/26630238454*c_1010_9^9 + 926081451/13315119227*c_1010_9^8 - 6929200129/106520953816*c_1010_9^7 - 14282437503/53260476908*c_1010_9^6 + 49074355075/106520953816*c_1010_9^5 - 4186772111/13315119227*c_1010_9^4 - 24213959703/26630238454*c_1010_9^3 + 8147228141/106520953816*c_1010_9^2 - 36190084977/53260476908*c_1010_9 + 8874533155/13315119227, c_0101_3 - 557283615/26630238454*c_1010_9^9 + 1189608519/13315119227*c_1010_9^8 - 17907213377/106520953816*c_1010_9^7 + 1122992069/53260476908*c_1010_9^6 + 48734524331/106520953816*c_1010_9^5 - 8335524296/13315119227*c_1010_9^4 - 3269621061/26630238454*c_1010_9^3 + 83835469013/106520953816*c_1010_9^2 - 1855934437/53260476908*c_1010_9 + 11128498843/13315119227, c_0101_6 + 196710849/13315119227*c_1010_9^9 - 575972542/13315119227*c_1010_9^8 + 2107886335/53260476908*c_1010_9^7 + 4274645459/26630238454*c_1010_9^6 - 18588286317/53260476908*c_1010_9^5 + 1649007878/13315119227*c_1010_9^4 + 8675552770/13315119227*c_1010_9^3 - 4353661575/53260476908*c_1010_9^2 - 15297315673/26630238454*c_1010_9 - 1030011973/13315119227, c_0101_9 + 2891667209/53260476908*c_1010_9^9 - 2381760825/13315119227*c_1010_9^8 + 57659151895/213041907632*c_1010_9^7 + 9076572535/53260476908*c_1010_9^6 - 173122680877/213041907632*c_1010_9^5 + 75172706681/106520953816*c_1010_9^4 + 17192196871/13315119227*c_1010_9^3 - 204576591963/213041907632*c_1010_9^2 + 29968673123/53260476908*c_1010_9 - 12523308195/13315119227, c_1001_0 + 111675987/26630238454*c_1010_9^9 + 130002352/13315119227*c_1010_9^8 - 2410127827/106520953816*c_1010_9^7 + 905943929/13315119227*c_1010_9^6 + 13074740569/106520953816*c_1010_9^5 - 9633389387/53260476908*c_1010_9^4 + 3399817741/13315119227*c_1010_9^3 + 111978719559/106520953816*c_1010_9^2 - 3681669092/13315119227*c_1010_9 - 1253662189/13315119227, c_1001_11 - 194118412/13315119227*c_1010_9^9 + 750931673/13315119227*c_1010_9^8 - 1233597281/13315119227*c_1010_9^7 - 1596137833/53260476908*c_1010_9^6 + 3476850866/13315119227*c_1010_9^5 - 20708357009/53260476908*c_1010_9^4 - 3567849937/26630238454*c_1010_9^3 + 4605062365/13315119227*c_1010_9^2 - 14311058179/53260476908*c_1010_9 + 9696753585/13315119227, c_1010_9^10 - 4*c_1010_9^9 + 31/4*c_1010_9^8 - c_1010_9^7 - 69/4*c_1010_9^6 + 57/2*c_1010_9^5 + 8*c_1010_9^4 - 131/4*c_1010_9^3 + 39*c_1010_9^2 - 32*c_1010_9 + 16 ], Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_9, c_0101_0, c_0101_10, c_0101_11, c_0101_3, c_0101_6, c_0101_9, c_1001_0, c_1001_11, c_1010_9 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t + 71034925/105127*c_1001_11*c_1010_9^5 - 27496012/105127*c_1001_11*c_1010_9^4 - 491154936/105127*c_1001_11*c_1010_9^3 - 1086209635/105127*c_1001_11*c_1010_9^2 + 522692367/105127*c_1001_11*c_1010_9 + 76700618/105127*c_1001_11 + 5908223/9557*c_1010_9^5 - 2373617/9557*c_1010_9^4 - 40807218/9557*c_1010_9^3 - 89749792/9557*c_1010_9^2 + 44728938/9557*c_1010_9 + 5592537/9557, c_0011_0 - 1, c_0011_10 + 320/503*c_1001_11*c_1010_9^5 - 15/503*c_1001_11*c_1010_9^4 - 2200/503*c_1001_11*c_1010_9^3 - 5594/503*c_1001_11*c_1010_9^2 + 315/503*c_1001_11*c_1010_9 + 120/503*c_1001_11 - 129/503*c_1010_9^5 - 159/503*c_1010_9^4 + 824/503*c_1010_9^3 + 3478/503*c_1010_9^2 + 3339/503*c_1010_9 + 769/503, c_0011_9 + 192/503*c_1001_11*c_1010_9^5 - 9/503*c_1001_11*c_1010_9^4 - 1320/503*c_1001_11*c_1010_9^3 - 3457/503*c_1001_11*c_1010_9^2 + 189/503*c_1001_11*c_1010_9 + 72/503*c_1001_11 - 272/503*c_1010_9^5 - 113/503*c_1010_9^4 + 1870/503*c_1010_9^3 + 5610/503*c_1010_9^2 + 1870/503*c_1010_9 - 102/503, c_0101_0 - 192/503*c_1010_9^5 + 9/503*c_1010_9^4 + 1320/503*c_1010_9^3 + 3457/503*c_1010_9^2 - 189/503*c_1010_9 - 575/503, c_0101_10 - 24/503*c_1010_9^5 + 64/503*c_1010_9^4 + 165/503*c_1010_9^3 - 8/503*c_1010_9^2 - 841/503*c_1010_9 - 9/503, c_0101_11 + 168/503*c_1010_9^5 + 55/503*c_1010_9^4 - 1155/503*c_1010_9^3 - 3465/503*c_1010_9^2 - 1155/503*c_1010_9 + 63/503, c_0101_3 + 9/503*c_1001_11*c_1010_9^5 - 24/503*c_1001_11*c_1010_9^4 + 1/503*c_1001_11*c_1010_9^3 + 3/503*c_1001_11*c_1010_9^2 + 1/503*c_1001_11*c_1010_9 - 814/503*c_1001_11 - 168/503*c_1010_9^5 - 55/503*c_1010_9^4 + 1155/503*c_1010_9^3 + 3465/503*c_1010_9^2 + 1155/503*c_1010_9 - 63/503, c_0101_6 + 39/503*c_1001_11*c_1010_9^5 - 104/503*c_1001_11*c_1010_9^4 - 331/503*c_1001_11*c_1010_9^3 + 13/503*c_1001_11*c_1010_9^2 + 2184/503*c_1001_11*c_1010_9 + 832/503*c_1001_11 + 321/503*c_1010_9^5 + 150/503*c_1010_9^4 - 2144/503*c_1010_9^3 - 6935/503*c_1010_9^2 - 3150/503*c_1010_9 - 697/503, c_0101_9 + 320/503*c_1001_11*c_1010_9^5 - 15/503*c_1001_11*c_1010_9^4 - 2200/503*c_1001_11*c_1010_9^3 - 5594/503*c_1001_11*c_1010_9^2 + 315/503*c_1001_11*c_1010_9 + 120/503*c_1001_11 - 248/503*c_1010_9^5 - 177/503*c_1010_9^4 + 1705/503*c_1010_9^3 + 5618/503*c_1010_9^2 + 3214/503*c_1010_9 + 410/503, c_1001_0 + 39/503*c_1001_11*c_1010_9^5 - 104/503*c_1001_11*c_1010_9^4 - 331/503*c_1001_11*c_1010_9^3 + 13/503*c_1001_11*c_1010_9^2 + 2184/503*c_1001_11*c_1010_9 + 832/503*c_1001_11 + 330/503*c_1010_9^5 + 126/503*c_1010_9^4 - 2143/503*c_1010_9^3 - 6932/503*c_1010_9^2 - 3149/503*c_1010_9 - 1008/503, c_1001_11^2 + 272/503*c_1001_11*c_1010_9^5 + 113/503*c_1001_11*c_1010_9^4 - 1870/503*c_1001_11*c_1010_9^3 - 5610/503*c_1001_11*c_1010_9^2 - 1870/503*c_1001_11*c_1010_9 + 102/503*c_1001_11 - 202/503*c_1010_9^5 - 132/503*c_1010_9^4 + 1263/503*c_1010_9^3 + 4795/503*c_1010_9^2 + 2772/503*c_1010_9 + 553/503, c_1010_9^6 - 7*c_1010_9^4 - 18*c_1010_9^3 + c_1010_9^2 + 3*c_1010_9 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.470 Total time: 0.680 seconds, Total memory usage: 32.09MB