Magma V2.19-8 Tue Aug 20 2013 17:55:02 on localhost [Seed = 762092186] Type ? for help. Type -D to quit. Loading file "8_9__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation 8_9 geometric_solution 7.58818022 oriented_manifold CS_known -0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 8 1 2 3 3 0132 0132 0132 1302 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 0 0 0 0 0 0 0 0 0 2 -1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.223322693665 1.189496842064 0 4 5 2 0132 0132 0132 1023 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 -1 0 1 0 0 0 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.500000000000 1.283846553625 6 0 3 1 0132 0132 3201 1023 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 -1 1 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 0.338472777237 0.495055639317 2 6 0 0 2310 2310 2031 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 -1 0 1 0 0 0 0 -1 0 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.223322693665 1.189496842064 7 1 5 7 0132 0132 0213 0213 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 0 0 1 0 0 -1 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.615150083572 0.589405350879 7 4 6 1 2031 0213 1023 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 1 -2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.031010957674 0.725145501701 2 7 5 3 0132 0132 1023 3201 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 0 0 0 0 0 0 0 0 0 0 1 0 -1 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 0.500000000000 1.283846553625 4 6 5 4 0132 0132 1302 0213 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -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 0.615150083572 0.589405350879 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(d['1']), 's_3_0' : 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_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_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' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : negation(d['c_0011_3']), 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : d['c_0101_5'], 'c_1100_7' : d['c_0101_5'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_3'], 'c_1100_0' : d['c_0101_3'], 'c_1100_3' : d['c_0101_3'], 'c_1100_2' : negation(d['c_0011_3']), 'c_0101_7' : negation(d['c_0011_5']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0011_5'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0101_0']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_0']), '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_1001_5' : d['c_0101_6'], 'c_1001_4' : d['c_0101_6'], 'c_1001_7' : d['c_0101_1'], 'c_1001_6' : d['c_0101_5'], 'c_1001_1' : d['c_0101_5'], 'c_1001_0' : d['c_0101_0'], 'c_1001_3' : negation(d['c_0101_1']), 'c_1001_2' : negation(d['c_0101_3']), '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_0101_6'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : negation(d['c_0011_5']), 'c_0110_7' : d['c_0011_5'], 'c_0110_6' : negation(d['c_0101_0']), 'c_1010_7' : d['c_0101_5'], 'c_1010_6' : d['c_0101_1'], 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : d['c_0101_5'], 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : d['c_0101_0'], 'c_1010_1' : d['c_0101_6'], 'c_1010_0' : negation(d['c_0101_3'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 9 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_5, c_0101_0, c_0101_1, c_0101_3, c_0101_5, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t + 9*c_0101_6^11 + 30*c_0101_6^10 + 85*c_0101_6^9 + 101*c_0101_6^8 + 183*c_0101_6^7 + 103*c_0101_6^6 + 173*c_0101_6^5 + 37*c_0101_6^4 + 68*c_0101_6^3 - 18*c_0101_6^2 - 6, c_0011_0 - 1, c_0011_3 - 1, c_0011_5 + 20/13*c_0101_6^11 + 67/13*c_0101_6^10 + 14*c_0101_6^9 + 207/13*c_0101_6^8 + 356/13*c_0101_6^7 + 196/13*c_0101_6^6 + 272/13*c_0101_6^5 + 60/13*c_0101_6^4 + 40/13*c_0101_6^3 - 3*c_0101_6^2 - 28/13*c_0101_6 - 20/13, c_0101_0 + 4/13*c_0101_6^11 - 23/13*c_0101_6^10 - 7*c_0101_6^9 - 320/13*c_0101_6^8 - 402/13*c_0101_6^7 - 798/13*c_0101_6^6 - 593/13*c_0101_6^5 - 846/13*c_0101_6^4 - 460/13*c_0101_6^3 - 30*c_0101_6^2 - 133/13*c_0101_6 - 56/13, c_0101_1 - c_0101_6, c_0101_3 - 19/13*c_0101_6^11 - 76/13*c_0101_6^10 - 18*c_0101_6^9 - 391/13*c_0101_6^8 - 697/13*c_0101_6^7 - 753/13*c_0101_6^6 - 898/13*c_0101_6^5 - 733/13*c_0101_6^4 - 545/13*c_0101_6^3 - 27*c_0101_6^2 - 119/13*c_0101_6 - 46/13, c_0101_5 + 30/13*c_0101_6^11 + 94/13*c_0101_6^10 + 20*c_0101_6^9 + 278/13*c_0101_6^8 + 534/13*c_0101_6^7 + 242/13*c_0101_6^6 + 473/13*c_0101_6^5 + 77/13*c_0101_6^4 + 138/13*c_0101_6^3 - 2*c_0101_6^2 - 16/13*c_0101_6 - 4/13, c_0101_6^12 + 3*c_0101_6^11 + 9*c_0101_6^10 + 11*c_0101_6^9 + 25*c_0101_6^8 + 18*c_0101_6^7 + 35*c_0101_6^6 + 18*c_0101_6^5 + 25*c_0101_6^4 + 11*c_0101_6^3 + 9*c_0101_6^2 + 3*c_0101_6 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB