Magma V2.19-8 Wed Aug 21 2013 00:59:05 on localhost [Seed = 2664990205] Type ? for help. Type -D to quit. Loading file "L13n6561__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n6561 geometric_solution 11.66270750 oriented_manifold CS_known 0.0000000000000003 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 2 3 0132 0132 2031 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 -1 0 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 0.557590965308 0.518953195597 0 3 5 4 0132 2103 0132 0132 0 1 1 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 1 0 -1 0 0 -3 0 3 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.837444605000 0.824641978752 6 0 7 0 0132 0132 0132 1302 1 1 1 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 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 0.951339180718 1.115936767144 8 1 0 6 0132 2103 0132 1302 1 1 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 0 0 0 0 3 -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 0.951339180718 1.115936767144 9 10 1 11 0132 0132 0132 0132 0 1 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 0 0 0 0 0 0 0 1 0 -1 3 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.708392187786 1.007331972432 8 11 12 1 3120 2103 0132 0132 0 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 -1 1 0 0 0 -1 1 0 -1 0 1 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.027921333503 0.600072054585 2 7 3 10 0132 3120 2031 0213 0 1 0 1 0 0 0 0 0 0 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 2 -2 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.557590965308 0.518953195597 12 6 9 2 1230 3120 1230 0132 1 1 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 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 0.393748215410 0.596983571548 3 10 9 5 0132 3201 3120 3120 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 0 1.113348100684 0.681549590804 4 11 8 7 0132 2031 3120 3012 0 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 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.532888352226 0.664231629894 12 4 8 6 0321 0132 2310 0213 0 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 0 0 0 0 0 0 0 -2 0 0 2 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.113348100684 0.681549590804 9 5 4 12 1302 2103 0132 0132 0 1 0 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 1 0 -1 0 0 0 0 0 1 0 -1 -3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.206440409725 0.542522517837 10 7 11 5 0321 3012 0132 0132 0 1 1 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 0 1 -1 -1 0 0 1 2 0 0 -2 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.077373119016 1.662866370324 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0011_12'], 'c_1001_11' : d['c_0011_5'], 'c_1001_10' : d['c_0011_5'], 'c_1001_12' : negation(d['c_0011_3']), 'c_1001_5' : d['c_0011_11'], 'c_1001_4' : d['c_1001_4'], 'c_1001_7' : d['c_0101_8'], 'c_1001_6' : negation(d['c_0101_8']), 'c_1001_1' : d['c_0011_3'], 'c_1001_0' : negation(d['c_0101_6']), 'c_1001_3' : negation(d['c_0011_0']), 'c_1001_2' : negation(d['c_0011_0']), 'c_1001_9' : d['c_0101_10'], 'c_1001_8' : negation(d['c_0101_10']), 'c_1010_12' : d['c_0011_11'], 'c_1010_11' : negation(d['c_0011_3']), 'c_1010_10' : d['c_1001_4'], 's_3_11' : 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' : negation(d['c_0011_10']), '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_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' : 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_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_1100_1'], 'c_1100_4' : d['c_1100_1'], 'c_1100_7' : d['c_0101_0'], 'c_1100_6' : d['c_1001_4'], 'c_1100_1' : d['c_1100_1'], 'c_1100_0' : d['c_0101_6'], 'c_1100_3' : d['c_0101_6'], 'c_1100_2' : d['c_0101_0'], 's_0_10' : d['1'], 'c_1100_11' : d['c_1100_1'], 'c_1100_10' : negation(d['c_0011_3']), 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0011_0']), 'c_1010_6' : negation(d['c_0011_3']), 'c_1010_5' : d['c_0011_3'], 'c_1010_4' : d['c_0011_5'], 'c_1010_3' : negation(d['c_1001_4']), 'c_1010_2' : negation(d['c_0101_6']), 'c_1010_1' : d['c_1001_4'], 'c_1010_0' : negation(d['c_0011_0']), 'c_1010_9' : d['c_0011_11'], 'c_1010_8' : negation(d['c_0011_5']), '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'], 'c_1100_12' : d['c_1100_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' : d['c_0011_10'], 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : d['c_0011_3'], 'c_0011_6' : d['c_0011_0'], '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_11' : negation(d['c_0101_10']), 'c_0110_10' : negation(d['c_0011_12']), 'c_0110_12' : negation(d['c_0011_10']), 'c_0101_12' : negation(d['c_0101_10']), 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : negation(d['c_0011_11']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0011_10']), 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0011_12'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_10']), '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_0101_0'], 'c_0110_8' : d['c_0101_1'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_0101_8']), 'c_0110_3' : d['c_0101_8'], 'c_0110_2' : d['c_0101_6'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : negation(d['c_0011_10']), 'c_0110_7' : d['c_0011_12'], 'c_1100_8' : d['c_0011_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_3, c_0011_5, c_0101_0, c_0101_1, c_0101_10, c_0101_6, c_0101_8, c_1001_4, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t + 1490718085/6828756*c_1100_1^8 - 55939373/6828756*c_1100_1^7 - 382621319/6828756*c_1100_1^6 - 9993271976/1707189*c_1100_1^5 + 2976149171/620796*c_1100_1^4 + 24037471349/6828756*c_1100_1^3 + 211984319/155199*c_1100_1^2 + 1014630855/1138126*c_1100_1 - 3299025413/6828756, c_0011_0 - 1, c_0011_10 - 46641/9406*c_1100_1^8 - 13691/9406*c_1100_1^7 - 3335/9406*c_1100_1^6 + 629113/4703*c_1100_1^5 - 610349/9406*c_1100_1^4 - 664377/9406*c_1100_1^3 - 485506/4703*c_1100_1^2 - 184908/4703*c_1100_1 - 147895/9406, c_0011_11 - c_1100_1, c_0011_12 + 4677/18812*c_1100_1^8 - 3933/18812*c_1100_1^7 - 2183/18812*c_1100_1^6 - 31325/4703*c_1100_1^5 + 202909/18812*c_1100_1^4 + 21205/18812*c_1100_1^3 - 9055/4703*c_1100_1^2 - 16113/9406*c_1100_1 - 7585/18812, c_0011_3 + 1763/9406*c_1100_1^8 - 963/4703*c_1100_1^7 + 965/9406*c_1100_1^6 - 46153/9406*c_1100_1^5 + 44958/4703*c_1100_1^4 - 45955/9406*c_1100_1^3 - 5845/9406*c_1100_1^2 - 19451/9406*c_1100_1 + 3470/4703, c_0011_5 + 3391/18812*c_1100_1^8 - 1301/18812*c_1100_1^7 - 1265/18812*c_1100_1^6 - 45497/9406*c_1100_1^5 + 107753/18812*c_1100_1^4 + 41527/18812*c_1100_1^3 + 2503/9406*c_1100_1^2 - 8959/4703*c_1100_1 - 6149/18812, c_0101_0 - 1, c_0101_1 + 4677/18812*c_1100_1^8 - 3933/18812*c_1100_1^7 - 2183/18812*c_1100_1^6 - 31325/4703*c_1100_1^5 + 202909/18812*c_1100_1^4 + 21205/18812*c_1100_1^3 - 9055/4703*c_1100_1^2 - 16113/9406*c_1100_1 - 7585/18812, c_0101_10 + 3391/18812*c_1100_1^8 - 1301/18812*c_1100_1^7 - 1265/18812*c_1100_1^6 - 45497/9406*c_1100_1^5 + 107753/18812*c_1100_1^4 + 41527/18812*c_1100_1^3 + 2503/9406*c_1100_1^2 - 8959/4703*c_1100_1 - 6149/18812, c_0101_6 + 104047/18812*c_1100_1^8 + 30547/18812*c_1100_1^7 + 10615/18812*c_1100_1^6 - 1403725/9406*c_1100_1^5 + 1360613/18812*c_1100_1^4 + 1394507/18812*c_1100_1^3 + 1122439/9406*c_1100_1^2 + 213405/4703*c_1100_1 + 382035/18812, c_0101_8 - 1301/18812*c_1100_1^8 - 1265/18812*c_1100_1^7 + 563/18812*c_1100_1^6 + 18271/9406*c_1100_1^5 + 7617/18812*c_1100_1^4 - 52641/18812*c_1100_1^3 - 30715/9406*c_1100_1^2 - 2385/4703*c_1100_1 + 3391/18812, c_1001_4 + 1301/18812*c_1100_1^8 + 1265/18812*c_1100_1^7 - 563/18812*c_1100_1^6 - 18271/9406*c_1100_1^5 - 7617/18812*c_1100_1^4 + 52641/18812*c_1100_1^3 + 30715/9406*c_1100_1^2 + 2385/4703*c_1100_1 - 3391/18812, c_1100_1^9 - 27*c_1100_1^6 + 21*c_1100_1^5 + 10*c_1100_1^4 + 17*c_1100_1^3 + 2*c_1100_1^2 + c_1100_1 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.090 Total time: 0.300 seconds, Total memory usage: 32.09MB