Magma V2.19-8 Tue Aug 20 2013 23:45:40 on localhost [Seed = 627261635] Type ? for help. Type -D to quit. Loading file "K13n4634__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K13n4634 geometric_solution 11.66004586 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 0 0 0 0 0 0 1 -1 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 1 -5 4 -4 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.486694389756 0.951959289184 0 5 7 6 0132 0132 0132 0132 0 0 0 0 0 1 -1 0 -1 0 0 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 -5 5 0 4 0 0 -4 0 0 0 0 0 -5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.921759594390 0.752854886833 6 0 9 8 1023 0132 0132 0132 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 1 0 -4 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.631092411487 0.691627278503 10 6 10 0 0132 1023 1023 0132 0 0 0 0 0 0 1 -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 -5 5 5 0 -5 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 0.422251440185 0.829079879702 11 8 0 6 0132 0132 0132 1023 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 0 0 0 0 0 0 0 -4 4 0 0 -4 4 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.631092411487 0.691627278503 10 1 7 11 1023 0132 2103 2103 0 0 0 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 5 -5 0 0 0 0 0 -1 5 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.718172538682 0.709317243513 3 2 1 4 1023 1023 0132 1023 0 0 0 0 0 -1 0 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 4 0 -4 0 0 4 -4 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.486694389756 0.951959289184 5 9 10 1 2103 3012 0132 0132 0 0 0 0 0 0 -1 1 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 5 -5 0 0 0 0 5 0 0 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.718172538682 0.709317243513 11 4 2 9 2103 0132 0132 0321 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.830093536939 0.596534591711 7 8 11 2 1230 0321 3012 0132 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 1 -1 0 0 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.878507808389 1.037761863867 3 5 3 7 0132 1023 1023 0132 0 0 0 0 0 0 -1 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 5 -5 -5 0 5 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 0.643706612989 0.533308932901 4 9 8 5 0132 1230 2103 2103 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 0 -4 0 4 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 0.878507808389 1.037761863867 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_11'], 'c_1001_10' : d['c_0101_3'], 'c_1001_5' : d['c_0011_7'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : negation(d['c_0011_9']), 'c_1001_6' : d['c_0011_7'], 'c_1001_1' : negation(d['c_0101_9']), 'c_1001_0' : d['c_0110_6'], 'c_1001_3' : d['c_0101_0'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : negation(d['c_0011_11']), 'c_1001_8' : d['c_0110_6'], 'c_1010_11' : d['c_0101_9'], 'c_1010_10' : negation(d['c_0011_9']), 's_0_10' : d['1'], 's_0_11' : 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_0'], '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' : negation(d['c_0011_11']), 'c_1100_5' : negation(d['c_0101_1']), 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : negation(d['c_1100_0']), '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' : d['c_0011_9'], 'c_1100_10' : negation(d['c_1100_0']), 's_3_10' : d['1'], 'c_1010_7' : negation(d['c_0101_9']), 'c_1010_6' : d['c_0101_11'], 'c_1010_5' : negation(d['c_0101_9']), 'c_1010_4' : d['c_0110_6'], 'c_1010_3' : d['c_0110_6'], 'c_1010_2' : d['c_0110_6'], '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'], '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' : d['c_0011_9'], 'c_0011_8' : d['c_0011_11'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_11']), 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : negation(d['c_0011_0']), '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' : d['c_0101_1'], 'c_0110_10' : d['c_0101_3'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_3'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_3'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_7'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : d['c_0101_11'], 'c_0011_10' : d['c_0011_0'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_7'], 'c_0110_8' : negation(d['c_0011_9']), 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_0011_11']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_11'], 'c_0110_5' : negation(d['c_0011_9']), 'c_0110_4' : d['c_0101_11'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0110_6']})} 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_11, c_0011_7, c_0011_9, c_0101_0, c_0101_1, c_0101_11, c_0101_3, c_0101_9, c_0110_6, c_1001_2, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t + 1522343470/13414609*c_1100_0^13 - 12070610494/228048353*c_1100_0^12 - 35502071899/228048353*c_1100_0^11 - 13058210647/228048353*c_1100_0^10 + 503934546939/456096706*c_1100_0^9 + 807650563933/456096706*c_1100_0^8 + 339911708538/228048353*c_1100_0^7 - 101655101669/456096706*c_1100_0^6 - 166416853431/228048353*c_1100_0^5 - 183851964549/456096706*c_1100_0^4 + 98451864061/228048353*c_1100_0^3 + 145310046139/456096706*c_1100_0^2 + 51321694263/456096706*c_1100_0 - 21523800970/228048353, c_0011_0 - 1, c_0011_11 - 255/37*c_1100_0^13 - 214/37*c_1100_0^12 + 477/74*c_1100_0^11 + 16*c_1100_0^10 - 8037/148*c_1100_0^9 - 13755/74*c_1100_0^8 - 43657/148*c_1100_0^7 - 36423/148*c_1100_0^6 - 4112/37*c_1100_0^5 + 383/148*c_1100_0^4 + 1101/74*c_1100_0^3 + 19/37*c_1100_0^2 - 352/37*c_1100_0 - 54/37, c_0011_7 - 141/74*c_1100_0^13 - 719/74*c_1100_0^12 - 123/148*c_1100_0^11 + 1979/148*c_1100_0^10 - 897/296*c_1100_0^9 - 35509/296*c_1100_0^8 - 9724/37*c_1100_0^7 - 11894/37*c_1100_0^6 - 62135/296*c_1100_0^5 - 19839/296*c_1100_0^4 + 2475/148*c_1100_0^3 + 1287/148*c_1100_0^2 - 341/74*c_1100_0 - 661/74, c_0011_9 + 133/74*c_1100_0^13 - 283/74*c_1100_0^12 - 909/148*c_1100_0^11 + 359/148*c_1100_0^10 + 7577/296*c_1100_0^9 + 1387/296*c_1100_0^8 - 4943/74*c_1100_0^7 - 5543/37*c_1100_0^6 - 40637/296*c_1100_0^5 - 19231/296*c_1100_0^4 + 727/148*c_1100_0^3 + 1493/148*c_1100_0^2 + 7/74*c_1100_0 - 587/74, c_0101_0 - 381/37*c_1100_0^13 - 358/37*c_1100_0^12 + 695/74*c_1100_0^11 + 826/37*c_1100_0^10 - 11503/148*c_1100_0^9 - 21039/74*c_1100_0^8 - 68443/148*c_1100_0^7 - 62521/148*c_1100_0^6 - 8245/37*c_1100_0^5 - 5573/148*c_1100_0^4 + 660/37*c_1100_0^3 + 117/37*c_1100_0^2 - 429/37*c_1100_0 - 206/37, c_0101_1 + 661/74*c_1100_0^13 + 1107/74*c_1100_0^12 - 25/4*c_1100_0^11 - 4015/148*c_1100_0^10 + 17257/296*c_1100_0^9 + 89497/296*c_1100_0^8 + 20231/37*c_1100_0^7 + 20815/37*c_1100_0^6 + 96211/296*c_1100_0^5 + 21599/296*c_1100_0^4 - 4417/148*c_1100_0^3 - 1417/148*c_1100_0^2 + 1085/74*c_1100_0 + 833/74, c_0101_11 - 612/37*c_1100_0^13 - 940/37*c_1100_0^12 + 379/37*c_1100_0^11 + 1787/37*c_1100_0^10 - 8045/74*c_1100_0^9 - 39961/74*c_1100_0^8 - 144957/148*c_1100_0^7 - 148683/148*c_1100_0^6 - 87011/148*c_1100_0^5 - 20031/148*c_1100_0^4 + 3561/74*c_1100_0^3 + 619/37*c_1100_0^2 - 905/37*c_1100_0 - 704/37, c_0101_3 + 1/2*c_1100_0^13 + 1/2*c_1100_0^12 - 1/4*c_1100_0^11 - 5/4*c_1100_0^10 + 29/8*c_1100_0^9 + 111/8*c_1100_0^8 + 25*c_1100_0^7 + 24*c_1100_0^6 + 119/8*c_1100_0^5 + 21/8*c_1100_0^4 - 1/4*c_1100_0^3 - 5/4*c_1100_0^2 + 1/2*c_1100_0 - 1/2, c_0101_9 + 579/74*c_1100_0^13 + 31/74*c_1100_0^12 - 1883/148*c_1100_0^11 - 1307/148*c_1100_0^10 + 21791/296*c_1100_0^9 + 47161/296*c_1100_0^8 + 12371/74*c_1100_0^7 + 1602/37*c_1100_0^6 - 15367/296*c_1100_0^5 - 19025/296*c_1100_0^4 - 1141/148*c_1100_0^3 + 1733/148*c_1100_0^2 + 603/74*c_1100_0 - 415/74, c_0110_6 - 643/74*c_1100_0^13 - 829/74*c_1100_0^12 + 935/148*c_1100_0^11 + 3485/148*c_1100_0^10 - 17987/296*c_1100_0^9 - 79067/296*c_1100_0^8 - 68607/148*c_1100_0^7 - 66749/148*c_1100_0^6 - 73475/296*c_1100_0^5 - 13467/296*c_1100_0^4 + 3493/148*c_1100_0^3 + 873/148*c_1100_0^2 - 879/74*c_1100_0 - 575/74, c_1001_2 + 117/37*c_1100_0^13 + 11*c_1100_0^12 + 29/74*c_1100_0^11 - 1273/74*c_1100_0^10 + 1803/148*c_1100_0^9 + 23055/148*c_1100_0^8 + 48591/148*c_1100_0^7 + 56181/148*c_1100_0^6 + 8934/37*c_1100_0^5 + 2529/37*c_1100_0^4 - 589/37*c_1100_0^3 - 513/74*c_1100_0^2 + 322/37*c_1100_0 + 314/37, c_1100_0^14 + 2*c_1100_0^13 + 1/2*c_1100_0^12 - 3*c_1100_0^11 + 19/4*c_1100_0^10 + 35*c_1100_0^9 + 311/4*c_1100_0^8 + 98*c_1100_0^7 + 311/4*c_1100_0^6 + 35*c_1100_0^5 + 19/4*c_1100_0^4 - 3*c_1100_0^3 + 1/2*c_1100_0^2 + 2*c_1100_0 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 1.390 Total time: 1.600 seconds, Total memory usage: 32.09MB