Magma V2.19-8 Wed Aug 21 2013 01:00:09 on localhost [Seed = 1427328621] Type ? for help. Type -D to quit. Loading file "L13n8526__sl2_c4.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n8526 geometric_solution 12.22891805 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 2 3 0132 0132 0321 0132 0 1 1 1 0 0 -1 1 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 -1 0 1 1 0 -1 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 0.219871322733 1.021920759677 0 4 6 5 0132 0132 0132 0132 2 1 1 1 0 0 1 -1 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 -2 1 -1 0 1 0 0 0 0 0 3 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.035989876320 1.280828539813 7 0 0 8 0132 0132 0321 0132 0 1 1 1 0 0 1 -1 -1 0 0 1 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 2 0 0 -2 0 0 0 0 2 -3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.219871322733 1.021920759677 7 8 0 8 3012 0132 0132 0213 0 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.471969217782 0.618250752260 7 1 9 10 1023 0132 0132 0132 2 1 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 -2 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.895442953779 0.810915297128 8 10 1 11 0213 0132 0132 0132 2 1 1 1 0 0 1 -1 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 -1 1 0 0 0 0 2 -2 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.381749247740 0.471969217782 10 11 12 1 0132 0132 0132 0132 2 1 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 -1 -1 2 0 0 1 -1 0 -3 0 3 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.213527539771 1.361611996916 2 4 11 3 0132 1023 1302 1230 1 1 1 1 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 0 0 0 0 0 0 0 0 -2 0 3 -1 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.197251199987 0.557364682411 5 3 2 3 0213 0132 0132 0213 0 1 1 1 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 1 -1 -2 0 2 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 0.471969217782 0.618250752260 12 10 12 4 0132 0321 0213 0132 2 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 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 0.887592309699 0.716795874779 6 5 4 9 0132 0132 0132 0321 2 1 1 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 0 0 0 0 0 -1 1 0 0 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.887592309699 0.716795874779 7 6 5 12 2031 0132 0132 0132 2 1 1 1 0 -1 1 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 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 0.386431472438 0.555649137376 9 9 11 6 0132 0213 0132 0132 2 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 -1 0 1 1 0 0 -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 0.213527539771 1.361611996916 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_1'], 'c_1001_10' : d['c_1001_1'], 'c_1001_12' : d['c_1001_12'], 'c_1001_5' : d['c_1001_4'], 'c_1001_4' : d['c_1001_4'], 'c_1001_7' : d['c_0101_12'], 'c_1001_6' : d['c_1001_12'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_2'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_1001_12'], 'c_1001_8' : d['c_1001_0'], 'c_1010_12' : d['c_1001_12'], 'c_1010_11' : d['c_1001_12'], 'c_1010_10' : d['c_1001_4'], 's_3_11' : d['1'], 's_0_11' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : negation(d['1']), 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0101_1'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : negation(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_1100_9' : d['c_1001_12'], 'c_1100_8' : d['c_1001_0'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_1100_1'], 'c_1100_4' : d['c_1001_12'], 'c_1100_7' : d['c_0101_11'], 'c_1100_6' : d['c_1100_1'], 'c_1100_1' : d['c_1100_1'], 'c_1100_0' : d['c_1001_2'], 'c_1100_3' : d['c_1001_2'], 'c_1100_2' : d['c_1001_0'], 's_0_10' : d['1'], 'c_1100_11' : d['c_1100_1'], 'c_1100_10' : d['c_1001_12'], 's_3_10' : d['1'], 'c_1010_7' : d['c_0101_1'], 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_1001_1'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_4'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_1001_4'], 'c_1010_8' : d['c_1001_2'], 's_3_1' : d['1'], 's_3_0' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : negation(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' : negation(d['1']), 's_1_2' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : negation(d['1']), 'c_0011_9' : negation(d['c_0011_12']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : d['c_0011_0'], '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' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_12'], 'c_0110_10' : d['c_0011_12'], 'c_0110_12' : d['c_0011_12'], 'c_0101_12' : d['c_0101_12'], 'c_0011_11' : d['c_0011_10'], 'c_0101_7' : negation(d['c_0011_10']), 'c_0101_6' : d['c_0011_12'], 'c_0101_5' : negation(d['c_0011_3']), 'c_0101_4' : d['c_0101_12'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0011_3'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_3']), 'c_0101_9' : d['c_0011_12'], 'c_0101_8' : negation(d['c_0011_10']), 'c_0011_10' : d['c_0011_10'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_12'], 'c_0110_8' : negation(d['c_0101_11']), 'c_0110_1' : negation(d['c_0011_3']), 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_11'], 'c_0110_2' : negation(d['c_0011_10']), 'c_0110_5' : d['c_0101_11'], 'c_0110_4' : d['c_0101_1'], 'c_0110_7' : d['c_0011_3'], '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_12, c_0011_3, c_0101_1, c_0101_11, c_0101_12, c_1001_0, c_1001_1, c_1001_12, c_1001_2, c_1001_4, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 2279/14*c_1100_1^7 + 2437/7*c_1100_1^6 + 2995/4*c_1100_1^5 + 1050*c_1100_1^4 + 68049/56*c_1100_1^3 + 8255/8*c_1100_1^2 + 14667/28*c_1100_1 + 1209/7, c_0011_0 - 1, c_0011_10 - 725/259*c_1100_1^7 - 2011/259*c_1100_1^6 - 1115/74*c_1100_1^5 - 1687/74*c_1100_1^4 - 26805/1036*c_1100_1^3 - 803/37*c_1100_1^2 - 5651/518*c_1100_1 - 465/259, c_0011_12 + 752/259*c_1100_1^7 + 1699/259*c_1100_1^6 + 479/37*c_1100_1^5 + 1381/74*c_1100_1^4 + 10331/518*c_1100_1^3 + 2381/148*c_1100_1^2 + 1854/259*c_1100_1 + 477/518, c_0011_3 + 164/259*c_1100_1^7 + 810/259*c_1100_1^6 + 244/37*c_1100_1^5 + 415/37*c_1100_1^4 + 3804/259*c_1100_1^3 + 1057/74*c_1100_1^2 + 2694/259*c_1100_1 + 725/259, c_0101_1 + 725/259*c_1100_1^7 + 2011/259*c_1100_1^6 + 1115/74*c_1100_1^5 + 1687/74*c_1100_1^4 + 26805/1036*c_1100_1^3 + 803/37*c_1100_1^2 + 5651/518*c_1100_1 + 465/259, c_0101_11 - 1, c_0101_12 + 724/259*c_1100_1^7 + 1447/259*c_1100_1^6 + 385/37*c_1100_1^5 + 1057/74*c_1100_1^4 + 7377/518*c_1100_1^3 + 1549/148*c_1100_1^2 + 895/259*c_1100_1 + 141/518, c_1001_0 - 1, c_1001_1 - 1, c_1001_12 + 24/7*c_1100_1^7 + 61/7*c_1100_1^6 + 17*c_1100_1^5 + 51/2*c_1100_1^4 + 405/14*c_1100_1^3 + 99/4*c_1100_1^2 + 90/7*c_1100_1 + 43/14, c_1001_2 - 9/7*c_1100_1^7 - 29/7*c_1100_1^6 - 19/2*c_1100_1^5 - 29/2*c_1100_1^4 - 533/28*c_1100_1^3 - 35/2*c_1100_1^2 - 155/14*c_1100_1 - 26/7, c_1001_4 - c_1100_1, c_1100_1^8 + 3*c_1100_1^7 + 13/2*c_1100_1^6 + 21/2*c_1100_1^5 + 53/4*c_1100_1^4 + 13*c_1100_1^3 + 9*c_1100_1^2 + 4*c_1100_1 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.040 Total time: 0.240 seconds, Total memory usage: 32.09MB