Magma V2.19-8 Tue Aug 20 2013 23:44:33 on localhost [Seed = 678317464] Type ? for help. Type -D to quit. Loading file "L14n411__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n411 geometric_solution 9.74515044 oriented_manifold CS_known -0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 11 1 2 3 3 0132 0132 0132 0321 0 1 1 1 0 -1 0 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 1 0 -1 0 0 1 -1 0 0 0 0 8 1 -9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.491051786316 0.834275180874 0 4 6 5 0132 0132 0132 0132 1 1 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 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 0 0 0 0.434082119112 0.847522899645 7 0 6 6 0132 0132 3012 3120 0 1 1 1 0 1 -3 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 0 0 0 0 -1 2 -1 0 0 0 0 0 -1 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.491051786316 0.834275180874 7 0 6 0 2031 0321 3120 0132 0 1 1 1 0 -1 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 1 -1 0 1 0 0 -1 -9 0 0 9 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.476014093030 0.890228789498 5 1 8 9 1023 0132 0132 0132 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 0 0 0 0 0 -1 1 0 0 0 0 9 -8 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.076887350881 0.608964283117 7 4 1 8 1023 1023 0132 3201 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 0 0 0 0 0 0 0 0 0 0 0 9 -9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.618855971116 1.027314259388 2 2 3 1 3120 1230 3120 0132 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 -2 3 -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 1 0 0 1 -2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.491051786316 0.834275180874 2 5 3 8 0132 1023 1302 2310 1 1 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 -1 1 0 0 1 -1 -1 0 0 1 0 -9 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.434082119112 0.847522899645 7 5 9 4 3201 2310 3201 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 0 0 -1 0 0 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 0.076887350881 0.608964283117 8 10 4 10 2310 0132 0132 1023 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 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 1.986168301463 2.520597713190 10 9 10 9 2031 0132 1302 1023 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 0.346569472908 0.244321545241 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : d['c_0110_10'], 'c_1001_5' : d['c_0101_4'], 'c_1001_4' : d['c_0101_4'], 'c_1001_7' : d['c_0101_0'], 'c_1001_6' : d['c_0101_6'], 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : negation(d['c_0011_6']), 'c_1001_3' : negation(d['c_0101_6']), 'c_1001_2' : negation(d['c_0011_6']), 'c_1001_9' : d['c_0101_2'], 'c_1001_8' : negation(d['c_0101_9']), 'c_1010_10' : d['c_0101_2'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_10' : negation(d['c_0011_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_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : negation(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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : d['c_0011_10'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : negation(d['c_0011_8']), 'c_1100_4' : d['c_0011_10'], 'c_1100_7' : d['c_0011_8'], 'c_1100_6' : negation(d['c_0011_8']), 'c_1100_1' : negation(d['c_0011_8']), 'c_1100_0' : negation(d['c_0101_6']), 'c_1100_3' : negation(d['c_0101_6']), 'c_1100_2' : negation(d['c_0101_6']), 'c_1100_10' : negation(d['c_0011_10']), 'c_1010_7' : negation(d['c_0101_4']), 'c_1010_6' : d['c_0101_2'], 'c_1010_5' : d['c_0101_9'], 'c_1010_4' : d['c_0101_2'], 'c_1010_3' : negation(d['c_0011_6']), 'c_1010_2' : negation(d['c_0011_6']), 'c_1010_1' : d['c_0101_4'], 'c_1010_0' : negation(d['c_0011_6']), 'c_1010_9' : d['c_0110_10'], 'c_1010_8' : d['c_0101_4'], 'c_1100_8' : d['c_0011_10'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : negation(d['1']), 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_7' : d['1'], 's_3_6' : negation(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' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(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_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : d['c_0011_0'], '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' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_10' : d['c_0110_10'], 'c_0101_7' : negation(d['c_0011_3']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0011_8'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_3']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : negation(d['c_0101_2']), 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_2'], 'c_0110_8' : d['c_0101_4'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_3']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_3']), 'c_0110_5' : negation(d['c_0101_4']), 'c_0110_4' : d['c_0101_9'], 'c_0110_7' : d['c_0101_2'], 'c_0110_6' : 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_6, c_0011_8, c_0101_0, c_0101_2, c_0101_4, c_0101_6, c_0101_9, c_0110_10 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 1956913/34207*c_0110_10^5 + 4002663/68414*c_0110_10^4 + 5759475/68414*c_0110_10^3 - 5249042/34207*c_0110_10^2 + 3026014/34207*c_0110_10 - 528785/34207, c_0011_0 - 1, c_0011_10 - 35/433*c_0110_10^5 + 377/433*c_0110_10^4 + 458/433*c_0110_10^3 + 113/433*c_0110_10^2 + 263/433*c_0110_10 - 8/433, c_0011_3 - 112/433*c_0110_10^5 - 6/433*c_0110_10^4 + 946/433*c_0110_10^3 + 708/433*c_0110_10^2 - 544/433*c_0110_10 + 494/433, c_0011_6 + 1, c_0011_8 + 1, c_0101_0 + 112/433*c_0110_10^5 + 6/433*c_0110_10^4 - 946/433*c_0110_10^3 - 708/433*c_0110_10^2 + 544/433*c_0110_10 - 61/433, c_0101_2 - 112/433*c_0110_10^5 - 6/433*c_0110_10^4 + 946/433*c_0110_10^3 + 708/433*c_0110_10^2 - 544/433*c_0110_10 + 61/433, c_0101_4 - 882/433*c_0110_10^5 - 805/433*c_0110_10^4 + 1063/433*c_0110_10^3 + 163/433*c_0110_10^2 + 46/433*c_0110_10 - 115/433, c_0101_6 + 1, c_0101_9 + 329/433*c_0110_10^5 - 1119/433*c_0110_10^4 - 235/433*c_0110_10^3 + 2575/433*c_0110_10^2 - 1000/433*c_0110_10 + 335/433, c_0110_10^6 - 4/7*c_0110_10^5 - 12/7*c_0110_10^4 + 13/7*c_0110_10^3 - 6/7*c_0110_10^2 + 2/7*c_0110_10 - 1/7 ], 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_6, c_0011_8, c_0101_0, c_0101_2, c_0101_4, c_0101_6, c_0101_9, c_0110_10 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t - 186624225871/9057535529728*c_0110_10^6 - 4407642744307/6793151647296*c_0110_10^5 + 23701641337349/3396575823648*c_0110_10^4 + 41199237467573/9057535529728*c_0110_10^3 + 108486014149651/4528767764864*c_0110_10^2 - 159320700775955/13586303294592*c_0110_10 - 339490986032305/27172606589184, c_0011_0 - 1, c_0011_10 - 4964406/722061187*c_0110_10^6 - 203527561/722061187*c_0110_10^5 - 235293619/722061187*c_0110_10^4 - 440501332/722061187*c_0110_10^3 + 367777777/722061187*c_0110_10^2 + 540197061/722061187*c_0110_10 + 116480046/722061187, c_0011_3 - 14359927/722061187*c_0110_10^6 - 578245036/722061187*c_0110_10^5 - 277791298/722061187*c_0110_10^4 - 1852029825/722061187*c_0110_10^3 + 1353176650/722061187*c_0110_10^2 - 504443354/722061187*c_0110_10 - 314734977/722061187, c_0011_6 + 1, c_0011_8 + 1, c_0101_0 + 14359927/722061187*c_0110_10^6 + 578245036/722061187*c_0110_10^5 + 277791298/722061187*c_0110_10^4 + 1852029825/722061187*c_0110_10^3 - 1353176650/722061187*c_0110_10^2 + 504443354/722061187*c_0110_10 - 407326210/722061187, c_0101_2 - 14359927/722061187*c_0110_10^6 - 578245036/722061187*c_0110_10^5 - 277791298/722061187*c_0110_10^4 - 1852029825/722061187*c_0110_10^3 + 1353176650/722061187*c_0110_10^2 - 504443354/722061187*c_0110_10 + 407326210/722061187, c_0101_4 - 4191214/722061187*c_0110_10^6 - 165060466/722061187*c_0110_10^5 + 69517429/722061187*c_0110_10^4 - 420934515/722061187*c_0110_10^3 + 967299469/722061187*c_0110_10^2 - 78189282/722061187*c_0110_10 + 160143101/722061187, c_0101_6 - 1, c_0101_9 - 28261303/722061187*c_0110_10^6 - 1138655153/722061187*c_0110_10^5 - 568353455/722061187*c_0110_10^4 - 3493440972/722061187*c_0110_10^3 + 3212233993/722061187*c_0110_10^2 - 129506094/722061187*c_0110_10 + 616968464/722061187, c_0110_10^7 + 40*c_0110_10^6 + 8*c_0110_10^5 + 101*c_0110_10^4 - 158*c_0110_10^3 + 6*c_0110_10^2 - 3*c_0110_10 + 28 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.040 Total time: 0.250 seconds, Total memory usage: 32.09MB