Magma V2.19-8 Tue Aug 20 2013 23:53:46 on localhost [Seed = 239625602] Type ? for help. Type -D to quit. Loading file "K12n428__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K12n428 geometric_solution 11.50660742 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 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 -1 0 1 0 0 -1 1 -1 0 0 1 0 -14 14 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.581152760353 1.037921724806 0 2 6 5 0132 0321 0132 0132 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 1 0 -1 0 0 0 0 0 13 0 -13 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.649838108089 0.235898297507 6 0 7 1 0132 0132 0132 0321 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 1 0 -1 0 0 -1 1 -1 14 0 -13 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.803618272756 1.200036293306 5 8 9 0 0132 0132 0132 0132 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 -1 0 0 1 0 14 0 -14 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.194482049125 1.045884698567 7 10 0 11 0132 0132 0132 0132 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 1 -1 0 1 0 -1 0 0 -13 0 13 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.070273510347 0.800387326916 3 11 1 10 0132 2103 0132 2310 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 1 -1 1 0 0 -1 0 0 0 0 0 -13 13 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.315368810052 0.599197252365 2 12 8 1 0132 0132 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.675653920059 0.533746229233 4 9 12 2 0132 2031 0321 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.560178479988 0.705350596147 12 3 11 6 0321 0132 2103 0132 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 0 0 0 0 0 0 0 14 -14 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.138070912967 1.202201112759 7 10 11 3 1302 1302 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.177278829447 0.432645936051 5 4 12 9 3201 0132 2031 2031 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 -1 1 0 0 0 0 0 1 -1 0 0 1 13 -14 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.766452384178 0.602367608124 8 5 4 9 2103 2103 0132 0132 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 0 0 0 0 0 0 0 13 -13 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.819266669709 1.937440345750 8 6 7 10 0321 0132 0321 1302 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 -14 0 0 14 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.688072189264 0.715007258943 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0011_3']), 'c_1001_10' : negation(d['c_0011_3']), 'c_1001_12' : d['c_1001_1'], 'c_1001_5' : d['c_0011_11'], 'c_1001_4' : d['c_0011_9'], 'c_1001_7' : d['c_0101_10'], 'c_1001_6' : d['c_1001_3'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0011_11'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : d['c_0011_9'], 'c_1001_9' : d['c_0110_10'], 'c_1001_8' : d['c_0011_11'], 'c_1010_12' : d['c_1001_3'], 'c_1010_11' : d['c_0110_10'], 'c_1010_10' : d['c_0011_9'], 's_0_10' : d['1'], 's_0_11' : 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_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_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' : negation(d['c_0011_0']), 'c_1100_5' : d['c_0011_10'], 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : d['c_1001_1'], 'c_1100_6' : d['c_0011_10'], 'c_1100_1' : d['c_0011_10'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_1001_1'], 's_3_11' : d['1'], 'c_1100_9' : d['c_1100_0'], 'c_1100_11' : d['c_1100_0'], 'c_1100_10' : negation(d['c_1001_3']), 's_3_10' : d['1'], 'c_1010_7' : d['c_0011_9'], 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : negation(d['c_0110_10']), 'c_1010_4' : negation(d['c_0011_3']), 'c_1010_3' : d['c_0011_11'], 'c_1010_2' : d['c_0011_11'], 'c_1010_1' : d['c_0011_11'], 'c_1010_0' : d['c_0011_9'], 'c_1010_9' : d['c_1001_3'], 'c_1010_8' : d['c_1001_3'], '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' : 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_0101_10'], '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' : negation(d['c_0011_3']), 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : d['c_0011_10'], '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_0011_10']), 'c_0110_10' : d['c_0110_10'], 'c_0110_12' : d['c_0011_3'], 'c_0101_12' : negation(d['c_0101_11']), 'c_0101_7' : d['c_0101_11'], 'c_0101_6' : d['c_0011_0'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0101_10']), '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_0011_10']), 'c_0101_8' : d['c_0101_11'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0101_10']), 'c_0110_8' : d['c_0011_0'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0011_0'], 'c_0110_5' : negation(d['c_0101_10']), 'c_0110_4' : d['c_0101_11'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0101_1']})} 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_3, c_0011_9, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0110_10, c_1001_1, c_1001_3, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t + 562511/66755*c_1100_0^13 - 42169/66755*c_1100_0^12 - 3790781/66755*c_1100_0^11 - 1177642/66755*c_1100_0^10 + 8182233/66755*c_1100_0^9 + 5203767/66755*c_1100_0^8 - 658641/5135*c_1100_0^7 - 215976/13351*c_1100_0^6 - 453598/13351*c_1100_0^5 + 566292/13351*c_1100_0^4 - 2007673/66755*c_1100_0^3 + 2194612/66755*c_1100_0^2 - 747817/66755*c_1100_0 - 174463/66755, c_0011_0 - 1, c_0011_10 - 359/65*c_1100_0^13 + 3/13*c_1100_0^12 + 2123/65*c_1100_0^11 + 543/65*c_1100_0^10 - 3553/65*c_1100_0^9 - 1224/65*c_1100_0^8 + 283/5*c_1100_0^7 - 3126/65*c_1100_0^6 + 1757/65*c_1100_0^5 - 1572/65*c_1100_0^4 + 2302/65*c_1100_0^3 - 1917/65*c_1100_0^2 + 1158/65*c_1100_0 - 379/65, c_0011_11 - 593/65*c_1100_0^13 - 36/13*c_1100_0^12 + 669/13*c_1100_0^11 + 2012/65*c_1100_0^10 - 4619/65*c_1100_0^9 - 3239/65*c_1100_0^8 + 65*c_1100_0^7 - 4244/65*c_1100_0^6 + 432/13*c_1100_0^5 - 2547/65*c_1100_0^4 + 3134/65*c_1100_0^3 - 2489/65*c_1100_0^2 + 1509/65*c_1100_0 - 444/65, c_0011_3 + 512/65*c_1100_0^13 + 42/13*c_1100_0^12 - 566/13*c_1100_0^11 - 2018/65*c_1100_0^10 + 3571/65*c_1100_0^9 + 3001/65*c_1100_0^8 - 47*c_1100_0^7 + 3621/65*c_1100_0^6 - 348/13*c_1100_0^5 + 2133/65*c_1100_0^4 - 2521/65*c_1100_0^3 + 1996/65*c_1100_0^2 - 1221/65*c_1100_0 + 336/65, c_0011_9 + 75/13*c_1100_0^13 + 17/13*c_1100_0^12 - 2131/65*c_1100_0^11 - 1109/65*c_1100_0^10 + 3067/65*c_1100_0^9 + 1839/65*c_1100_0^8 - 226/5*c_1100_0^7 + 2813/65*c_1100_0^6 - 1449/65*c_1100_0^5 + 1752/65*c_1100_0^4 - 427/13*c_1100_0^3 + 326/13*c_1100_0^2 - 1017/65*c_1100_0 + 344/65, c_0101_0 - c_1100_0^13 + c_1100_0^12 + 6*c_1100_0^11 - 4*c_1100_0^10 - 12*c_1100_0^9 + 5*c_1100_0^8 + 14*c_1100_0^7 - 17*c_1100_0^6 + 13*c_1100_0^5 - 9*c_1100_0^4 + 11*c_1100_0^3 - 11*c_1100_0^2 + 8*c_1100_0 - 4, c_0101_1 - 36/65*c_1100_0^13 + 9/65*c_1100_0^12 + 213/65*c_1100_0^11 + 19/65*c_1100_0^10 - 343/65*c_1100_0^9 - 74/65*c_1100_0^8 + 18/5*c_1100_0^7 - 508/65*c_1100_0^6 + 85/13*c_1100_0^5 + 37/65*c_1100_0^4 + 258/65*c_1100_0^3 - 47/13*c_1100_0^2 + 206/65*c_1100_0 - 61/65, c_0101_10 - 18/5*c_1100_0^13 - 3*c_1100_0^12 + 94/5*c_1100_0^11 + 113/5*c_1100_0^10 - 82/5*c_1100_0^9 - 31*c_1100_0^8 + 42/5*c_1100_0^7 - 86/5*c_1100_0^6 + 31/5*c_1100_0^5 - 15*c_1100_0^4 + 64/5*c_1100_0^3 - 44/5*c_1100_0^2 + 27/5*c_1100_0 - 1, c_0101_11 - 719/65*c_1100_0^13 - 116/65*c_1100_0^12 + 822/13*c_1100_0^11 + 1864/65*c_1100_0^10 - 6086/65*c_1100_0^9 - 3186/65*c_1100_0^8 + 91*c_1100_0^7 - 5723/65*c_1100_0^6 + 3108/65*c_1100_0^5 - 3399/65*c_1100_0^4 + 4167/65*c_1100_0^3 - 3344/65*c_1100_0^2 + 2074/65*c_1100_0 - 703/65, c_0110_10 + 42/5*c_1100_0^13 + 16/5*c_1100_0^12 - 234/5*c_1100_0^11 - 157/5*c_1100_0^10 + 308/5*c_1100_0^9 + 231/5*c_1100_0^8 - 287/5*c_1100_0^7 + 304/5*c_1100_0^6 - 114/5*c_1100_0^5 + 174/5*c_1100_0^4 - 206/5*c_1100_0^3 + 158/5*c_1100_0^2 - 91/5*c_1100_0 + 23/5, c_1001_1 + 31/65*c_1100_0^13 + 54/65*c_1100_0^12 - 152/65*c_1100_0^11 - 354/65*c_1100_0^10 + 48/65*c_1100_0^9 + 492/65*c_1100_0^8 + 3/5*c_1100_0^7 - 97/65*c_1100_0^6 + 42/13*c_1100_0^5 + 21/13*c_1100_0^4 - 103/65*c_1100_0^3 - 19/65*c_1100_0^2 + 8/13*c_1100_0 - 3/13, c_1001_3 - 654/65*c_1100_0^13 - 181/65*c_1100_0^12 + 744/13*c_1100_0^11 + 2124/65*c_1100_0^10 - 5306/65*c_1100_0^9 - 3511/65*c_1100_0^8 + 77*c_1100_0^7 - 4618/65*c_1100_0^6 + 2263/65*c_1100_0^5 - 2814/65*c_1100_0^4 + 3452/65*c_1100_0^3 - 2629/65*c_1100_0^2 + 1554/65*c_1100_0 - 443/65, c_1100_0^14 - c_1100_0^13 - 6*c_1100_0^12 + 4*c_1100_0^11 + 12*c_1100_0^10 - 5*c_1100_0^9 - 14*c_1100_0^8 + 17*c_1100_0^7 - 13*c_1100_0^6 + 9*c_1100_0^5 - 11*c_1100_0^4 + 11*c_1100_0^3 - 8*c_1100_0^2 + 4*c_1100_0 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 2.700 Total time: 2.910 seconds, Total memory usage: 64.12MB