Magma V2.19-8 Tue Aug 20 2013 23:47:37 on localhost [Seed = 1747845688] Type ? for help. Type -D to quit. Loading file "L11a302__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L11a302 geometric_solution 10.62954643 oriented_manifold CS_known 0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 1 2 3 0132 1230 0132 0132 0 0 1 1 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 -1 1 0 0 0 0 0 -1 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.517940113575 1.157181407036 0 4 0 5 0132 0132 3012 0132 1 0 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 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 0.677763828560 0.719939808660 5 3 3 0 0132 2031 1230 0132 0 0 1 0 0 0 0 0 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 -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 0.498175172021 0.315133755289 2 6 0 2 1302 0132 0132 3012 0 0 0 1 0 1 0 -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 1 -1 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 -0.106642017173 0.739699459516 7 1 8 7 0132 0132 0132 2031 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 0 0 0 -1 1 0 0 0 1 -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 0.480683781685 0.697269958487 2 6 1 9 0132 1302 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.215379907295 0.602338776569 9 3 8 5 3201 0132 3201 2031 0 1 1 0 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 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.174712968277 0.680905036637 4 4 11 10 0132 1302 0132 0132 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 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 0.329816735031 0.972153992184 6 9 11 4 2310 2103 2310 0132 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 0 1 -1 1 0 0 -1 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.068561178525 1.372606201657 10 8 5 6 0132 2103 0132 2310 1 0 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.703116182030 0.478551142960 9 11 7 11 0132 3012 0132 1302 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.986841550843 0.988135681500 10 8 10 7 1230 3201 2031 0132 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 0 0 0 0 0 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 -0.635143189298 1.285265637546 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0101_2']), 'c_1001_10' : negation(d['c_0011_11']), 'c_1001_5' : d['c_0110_6'], 'c_1001_4' : d['c_0110_6'], 'c_1001_7' : d['c_0011_10'], 'c_1001_6' : negation(d['c_0101_2']), 'c_1001_1' : negation(d['c_0011_0']), 'c_1001_0' : d['c_0011_3'], 'c_1001_3' : negation(d['c_0011_2']), 'c_1001_2' : negation(d['c_0110_3']), 'c_1001_9' : d['c_0011_8'], 'c_1001_8' : negation(d['c_0011_10']), 'c_1010_11' : d['c_0011_10'], 'c_1010_10' : negation(d['c_0101_11']), 's_3_11' : 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' : 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' : 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_0011_11' : d['c_0011_11'], 'c_1100_8' : d['c_0011_11'], 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : d['c_0011_11'], 'c_1100_7' : d['c_0101_11'], 'c_1100_6' : negation(d['c_0011_8']), 'c_1100_1' : negation(d['c_0011_3']), 'c_1100_0' : d['c_0110_3'], 'c_1100_3' : d['c_0110_3'], 'c_1100_2' : d['c_0110_3'], 's_0_10' : d['1'], 'c_1100_11' : d['c_0101_11'], 'c_1100_10' : d['c_0101_11'], 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0011_11']), 'c_1010_6' : negation(d['c_0011_2']), 'c_1010_5' : d['c_0011_8'], 'c_1010_4' : negation(d['c_0011_0']), 'c_1010_3' : negation(d['c_0101_2']), 'c_1010_2' : d['c_0011_3'], 'c_1010_1' : d['c_0110_6'], 'c_1010_0' : negation(d['c_0011_2']), 'c_1010_9' : negation(d['c_0110_6']), 'c_1010_8' : d['c_0110_6'], '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_8'], 'c_0011_5' : negation(d['c_0011_2']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_0']), 'c_0110_6' : d['c_0110_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' : d['c_0011_2'], 'c_0110_11' : d['c_0011_10'], 'c_0110_10' : d['c_0101_2'], 'c_0110_0' : negation(d['c_0011_2']), 'c_0011_6' : negation(d['c_0011_3']), 'c_0101_7' : d['c_0011_10'], 'c_0101_6' : negation(d['c_0101_10']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_10'], 'c_0101_3' : negation(d['c_0011_2']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_2']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_2'], 'c_0101_8' : d['c_0101_2'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_10'], 'c_0110_8' : d['c_0101_10'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_0011_3']), 'c_0110_3' : d['c_0110_3'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0011_10'], 'c_0110_7' : d['c_0101_10'], 'c_0011_10' : d['c_0011_10']})} 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_11, c_0011_2, c_0011_3, c_0011_8, c_0101_0, c_0101_10, c_0101_11, c_0101_2, c_0110_3, c_0110_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t - 321619/1632*c_0110_3*c_0110_6 - 51823/408*c_0110_3 - 40073/272*c_0110_6 - 2947/272, c_0011_0 - 1, c_0011_10 - 1/4*c_0110_3*c_0110_6 + 3/4*c_0110_3 + 1/4*c_0110_6, c_0011_11 - 3/4*c_0110_3*c_0110_6 - 1/2*c_0110_3 - 1/2, c_0011_2 - 1/4*c_0110_3*c_0110_6 + 3/4*c_0110_3 + 1/4*c_0110_6, c_0011_3 - 3/4*c_0110_3*c_0110_6 - 1/2*c_0110_3 - 1/2, c_0011_8 + 1/4*c_0110_3*c_0110_6 - 3/4*c_0110_3 + 3/4*c_0110_6, c_0101_0 - 1, c_0101_10 + 1, c_0101_11 - c_0110_3, c_0101_2 + 1/4*c_0110_3*c_0110_6 + 1/2*c_0110_3 + 1/2, c_0110_3^2 + 10/121*c_0110_3*c_0110_6 + 52/121*c_0110_3 - 12/121*c_0110_6 - 14/121, c_0110_6^2 + 2 ], Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_2, c_0011_3, c_0011_8, c_0101_0, c_0101_10, c_0101_11, c_0101_2, c_0110_3, c_0110_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t + 988756/153*c_0110_6^8 + 1589117/306*c_0110_6^7 + 9020113/306*c_0110_6^6 + 6958555/306*c_0110_6^5 + 1395529/34*c_0110_6^4 + 490364/17*c_0110_6^3 + 301493/17*c_0110_6^2 + 162686/17*c_0110_6 + 9635285/306, c_0011_0 - 1, c_0011_10 + 190/4267*c_0110_6^8 + 142/4267*c_0110_6^7 + 1867/8534*c_0110_6^6 + 1575/8534*c_0110_6^5 + 1910/4267*c_0110_6^4 + 80/4267*c_0110_6^3 + 2081/4267*c_0110_6^2 - 1499/4267*c_0110_6 + 1077/4267, c_0011_11 + 33/8534*c_0110_6^8 - 155/8534*c_0110_6^7 - 433/8534*c_0110_6^6 - 858/4267*c_0110_6^5 - 171/4267*c_0110_6^4 - 2688/4267*c_0110_6^3 + 1764/4267*c_0110_6^2 - 1691/4267*c_0110_6 + 509/4267, c_0011_2 - 927/8534*c_0110_6^8 + 475/8534*c_0110_6^7 - 3353/8534*c_0110_6^6 + 1267/8534*c_0110_6^5 - 1403/4267*c_0110_6^4 + 254/4267*c_0110_6^3 + 100/4267*c_0110_6^2 - 599/4267*c_0110_6 - 2661/4267, c_0011_3 - 475/8534*c_0110_6^8 - 355/8534*c_0110_6^7 - 1267/8534*c_0110_6^6 - 451/4267*c_0110_6^5 - 254/4267*c_0110_6^4 - 100/4267*c_0110_6^3 + 599/4267*c_0110_6^2 + 807/4267*c_0110_6 - 2413/4267, c_0011_8 - 286/4267*c_0110_6^8 - 79/4267*c_0110_6^7 - 2451/8534*c_0110_6^6 - 125/8534*c_0110_6^5 - 1303/4267*c_0110_6^4 - 345/4267*c_0110_6^3 - 707/4267*c_0110_6^2 + 864/4267*c_0110_6 - 1711/4267, c_0101_0 - 1, c_0101_10 - 317/8534*c_0110_6^8 - 96/4267*c_0110_6^7 - 571/4267*c_0110_6^6 - 292/4267*c_0110_6^5 + 91/4267*c_0110_6^4 + 607/4267*c_0110_6^3 - 265/4267*c_0110_6^2 + 1374/4267*c_0110_6 - 1269/4267, c_0101_11 - 54272/1071017*c_0110_6^8 + 99621/1071017*c_0110_6^7 - 257529/1071017*c_0110_6^6 + 330216/1071017*c_0110_6^5 - 281247/1071017*c_0110_6^4 + 248440/1071017*c_0110_6^3 + 47111/1071017*c_0110_6^2 + 23621/1071017*c_0110_6 + 56900/1071017, c_0101_2 - 38343/2142034*c_0110_6^8 + 47431/2142034*c_0110_6^7 - 189699/2142034*c_0110_6^6 + 36843/1071017*c_0110_6^5 - 110865/1071017*c_0110_6^4 - 48721/1071017*c_0110_6^3 - 123639/1071017*c_0110_6^2 - 252888/1071017*c_0110_6 + 66870/1071017, c_0110_3 + 20837/1071017*c_0110_6^8 - 61278/1071017*c_0110_6^7 + 76358/1071017*c_0110_6^6 - 140517/1071017*c_0110_6^5 + 73821/1071017*c_0110_6^4 - 26710/1071017*c_0110_6^3 + 50331/1071017*c_0110_6^2 + 223657/1071017*c_0110_6 + 315136/1071017, c_0110_6^9 + 4*c_0110_6^7 + 4*c_0110_6^5 + 4*c_0110_6 - 4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.150 Total time: 0.360 seconds, Total memory usage: 32.09MB