Magma V2.19-8 Wed Aug 21 2013 01:12:07 on localhost [Seed = 2951328183] Type ? for help. Type -D to quit. Loading file "L14n58718__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n58718 geometric_solution 12.15159549 oriented_manifold CS_known -0.0000000000000003 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 1 1 0 2 0 0 1 -1 -1 0 1 0 1 -1 0 0 0 1 -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 -2 1 0 1 -1 5 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.483524320408 1.603604373610 0 5 3 6 0132 0132 1023 0132 1 1 2 0 0 1 -1 0 1 0 -1 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 0 0 -1 2 -1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.118169464575 1.420259287755 3 0 8 7 1023 0132 0132 0132 1 1 2 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 0 1 0 0 0 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 0.527366619000 0.797476510511 5 2 1 0 0132 1023 1023 0132 1 1 2 0 0 0 1 -1 0 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 0 0 0 -4 0 4 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.023801052092 0.392270971774 8 9 0 6 0132 0132 0132 1023 1 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 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 0.683487787885 0.975016983671 3 1 10 9 0132 0132 0132 3120 1 1 0 2 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 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 0.582835187585 0.950508476279 10 7 1 4 0132 2103 0132 1023 1 1 1 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 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.447111953577 0.775613074763 10 6 2 11 1302 2103 0132 0132 1 1 1 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 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 -0.037760080766 1.045180700186 4 9 11 2 0132 0321 3201 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.890064099973 0.635943716432 5 4 12 8 3120 0132 0132 0321 1 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 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 1.006900807098 0.767699727747 6 7 12 5 0132 2031 3012 0132 1 1 2 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 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 0.990377973146 0.619600064460 8 11 7 11 2310 1302 0132 2031 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 0.477284935135 0.806966514359 12 10 12 9 2310 1230 3201 0132 1 1 1 1 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 -1 1 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 0.845825913916 1.003776240952 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0101_8']), 'c_1001_10' : negation(d['c_0011_12']), 'c_1001_12' : negation(d['c_0101_12']), 'c_1001_5' : d['c_0011_7'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : negation(d['c_0011_10']), 'c_1001_6' : d['c_0011_7'], 'c_1001_1' : d['c_0011_4'], 'c_1001_0' : negation(d['c_0011_10']), 'c_1001_3' : d['c_0101_1'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_0101_10'], 'c_1001_8' : negation(d['c_0011_12']), 'c_1010_12' : d['c_0101_10'], 'c_1010_11' : d['c_0011_11'], 'c_1010_10' : d['c_0011_7'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0011_12'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : negation(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' : 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' : d['1'], 's_0_5' : negation(d['1']), 's_0_2' : d['1'], 's_0_3' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : negation(d['c_0011_12']), 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0101_12'], 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : negation(d['c_0011_11']), 'c_1100_6' : negation(d['c_1100_0']), 'c_1100_1' : negation(d['c_1100_0']), 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : negation(d['c_0011_11']), 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0011_11']), 'c_1100_10' : d['c_0101_12'], 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0101_8']), 'c_1010_6' : d['c_0101_8'], 'c_1010_5' : d['c_0011_4'], 'c_1010_4' : d['c_0101_10'], 'c_1010_3' : negation(d['c_0011_10']), 'c_1010_2' : negation(d['c_0011_10']), 'c_1010_1' : d['c_0011_7'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_1001_2'], 'c_1010_8' : d['c_1001_2'], 'c_1100_8' : negation(d['c_0011_11']), 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : negation(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'], 'c_1100_12' : negation(d['c_0011_12']), 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : negation(d['1']), 's_1_4' : 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' : negation(d['c_0011_4']), 'c_0011_8' : negation(d['c_0011_4']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_7'], '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' : negation(d['c_0011_0']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0101_8']), 'c_0110_10' : d['c_0101_0'], 'c_0110_12' : negation(d['c_0101_12']), 'c_0101_12' : d['c_0101_12'], 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : negation(d['c_0011_10']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0011_4'], 'c_0101_2' : d['c_0101_1'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0101_12']), 'c_0101_8' : d['c_0101_8'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_4'], 'c_0110_8' : d['c_0101_1'], '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_0011_10']), 'c_0110_5' : d['c_0011_4'], 'c_0110_4' : d['c_0101_8'], 'c_0110_7' : d['c_0011_12'], 'c_0110_6' : d['c_0101_10']})} 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_4, c_0011_7, c_0101_0, c_0101_1, c_0101_10, c_0101_12, c_0101_8, c_1001_2, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 770503877921/205349104*c_1100_0^7 + 3370113499183/102674552*c_1100_0^6 + 59401341507869/410698208*c_1100_0^5 + 179125571746751/410698208*c_1100_0^4 + 369033909046029/410698208*c_1100_0^3 + 505005396319247/410698208*c_1100_0^2 + 401872646647943/410698208*c_1100_0 + 137309449755633/410698208, c_0011_0 - 1, c_0011_10 + 35507/57553*c_1100_0^7 + 313847/57553*c_1100_0^6 + 2788069/115106*c_1100_0^5 + 4232192/57553*c_1100_0^4 + 17607001/115106*c_1100_0^3 + 12203151/57553*c_1100_0^2 + 19852361/115106*c_1100_0 + 3496769/57553, c_0011_11 - 37834/57553*c_1100_0^7 - 333190/57553*c_1100_0^6 - 1476405/57553*c_1100_0^5 - 4467246/57553*c_1100_0^4 - 9241324/57553*c_1100_0^3 - 12689001/57553*c_1100_0^2 - 10106959/57553*c_1100_0 - 3429266/57553, c_0011_12 - 15099/57553*c_1100_0^7 - 139409/57553*c_1100_0^6 - 1286885/115106*c_1100_0^5 - 1998385/57553*c_1100_0^4 - 8566655/115106*c_1100_0^3 - 6165430/57553*c_1100_0^2 - 10526493/115106*c_1100_0 - 1946306/57553, c_0011_4 - 17019/57553*c_1100_0^7 - 144066/57553*c_1100_0^6 - 1236575/115106*c_1100_0^5 - 3668717/115106*c_1100_0^4 - 7368011/115106*c_1100_0^3 - 9770517/115106*c_1100_0^2 - 7487431/115106*c_1100_0 - 2386715/115106, c_0011_7 - 17019/57553*c_1100_0^7 - 144066/57553*c_1100_0^6 - 1236575/115106*c_1100_0^5 - 3668717/115106*c_1100_0^4 - 7368011/115106*c_1100_0^3 - 9770517/115106*c_1100_0^2 - 7372325/115106*c_1100_0 - 2386715/115106, c_0101_0 - 1, c_0101_1 - 1, c_0101_10 + 35507/57553*c_1100_0^7 + 313847/57553*c_1100_0^6 + 2788069/115106*c_1100_0^5 + 4232192/57553*c_1100_0^4 + 17607001/115106*c_1100_0^3 + 12203151/57553*c_1100_0^2 + 19852361/115106*c_1100_0 + 3439216/57553, c_0101_12 - 1400/57553*c_1100_0^7 - 18983/57553*c_1100_0^6 - 107555/57553*c_1100_0^5 - 757181/115106*c_1100_0^4 - 922684/57553*c_1100_0^3 - 3011899/115106*c_1100_0^2 - 1444724/57553*c_1100_0 - 1198075/115106, c_0101_8 - 17019/57553*c_1100_0^7 - 144066/57553*c_1100_0^6 - 1236575/115106*c_1100_0^5 - 3668717/115106*c_1100_0^4 - 7368011/115106*c_1100_0^3 - 9770517/115106*c_1100_0^2 - 7487431/115106*c_1100_0 - 2501821/115106, c_1001_2 + 35507/57553*c_1100_0^7 + 313847/57553*c_1100_0^6 + 2788069/115106*c_1100_0^5 + 4232192/57553*c_1100_0^4 + 17607001/115106*c_1100_0^3 + 12203151/57553*c_1100_0^2 + 19967467/115106*c_1100_0 + 3496769/57553, c_1100_0^8 + 10*c_1100_0^7 + 99/2*c_1100_0^6 + 329/2*c_1100_0^5 + 385*c_1100_0^4 + 1255/2*c_1100_0^3 + 671*c_1100_0^2 + 831/2*c_1100_0 + 223/2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.070 Total time: 0.280 seconds, Total memory usage: 32.09MB