Magma V2.19-8 Tue Aug 20 2013 16:18:41 on localhost [Seed = 2766485928] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2853 geometric_solution 6.07619945 oriented_manifold CS_known 0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 7 1 1 2 1 0132 1230 0132 2031 0 0 1 0 0 1 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 0 0 0 0 0 -1 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 0.514924330573 0.655036111361 0 0 0 3 0132 1302 3012 0132 0 0 0 1 0 0 0 0 0 0 -1 1 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 0 0 0 0 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 0.258268567111 0.943557809616 3 4 5 0 0321 0132 0132 0132 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 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 0.134834447609 1.043173701490 2 5 1 4 0321 3012 0132 2103 0 0 0 0 0 0 0 0 1 0 -1 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 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.471037627594 0.567953802784 6 2 6 3 0132 0132 2310 2103 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.012790676561 1.426378091994 3 5 5 2 1230 3201 2310 0132 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 -1 0 1 0 0 1 -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 0.799250161588 0.814339822519 4 4 6 6 0132 3201 2031 1302 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.427515412374 0.120630638343 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : 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_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_0_6' : 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_6' : d['c_0101_6'], 'c_1100_5' : d['c_0011_5'], 'c_1100_4' : d['c_0011_2'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0101_6']), 'c_1100_0' : d['c_0011_5'], 'c_1100_3' : negation(d['c_0101_6']), 'c_1100_2' : d['c_0011_5'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0011_3']), 'c_0101_2' : d['c_0011_3'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_2']), 'c_0011_6' : d['c_0011_2'], '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' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0101_5']), 'c_1001_4' : d['c_0101_6'], 'c_1001_6' : negation(d['c_0101_4']), 'c_1001_1' : negation(d['c_0011_0']), 'c_1001_0' : d['c_0101_6'], 'c_1001_3' : negation(d['c_0011_5']), 'c_1001_2' : d['c_0101_5'], 'c_0110_1' : negation(d['c_0011_3']), 'c_0110_0' : negation(d['c_0011_0']), 'c_0110_3' : negation(d['c_0011_2']), 'c_0110_2' : negation(d['c_0011_3']), 'c_0110_5' : d['c_0011_3'], 'c_0110_4' : d['c_0101_6'], 'c_0110_6' : d['c_0101_4'], 'c_1010_6' : negation(d['c_0101_6']), 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : d['c_0101_5'], 'c_1010_3' : negation(d['c_0101_5']), 'c_1010_2' : d['c_0101_6'], 'c_1010_1' : negation(d['c_0011_5']), 'c_1010_0' : negation(d['c_0011_0'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_2, c_0011_3, c_0011_5, c_0101_4, c_0101_5, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t + 180465/143*c_0101_6^8 - 2391021/286*c_0101_6^7 + 5359231/286*c_0101_6^6 - 5932757/286*c_0101_6^5 + 3796301/286*c_0101_6^4 - 988553/286*c_0101_6^3 + 475197/286*c_0101_6^2 + 209146/143*c_0101_6 - 29387/26, c_0011_0 - 1, c_0011_2 - 369/286*c_0101_6^8 + 1227/143*c_0101_6^7 - 2796/143*c_0101_6^6 + 3196/143*c_0101_6^5 - 180/13*c_0101_6^4 + 300/143*c_0101_6^3 + 3/26*c_0101_6^2 - 861/286*c_0101_6 + 295/286, c_0011_3 + 1, c_0011_5 - c_0101_6 + 1, c_0101_4 - 885/286*c_0101_6^8 + 2913/143*c_0101_6^7 - 6443/143*c_0101_6^6 + 6939/143*c_0101_6^5 - 4179/143*c_0101_6^4 + 970/143*c_0101_6^3 - 1465/286*c_0101_6^2 - 843/286*c_0101_6 + 55/26, c_0101_5 - 120/143*c_0101_6^8 + 75/13*c_0101_6^7 - 1933/143*c_0101_6^6 + 191/13*c_0101_6^5 - 1050/143*c_0101_6^4 - 147/143*c_0101_6^3 + 324/143*c_0101_6^2 - 189/143*c_0101_6 + 86/143, c_0101_6^9 - 7*c_0101_6^8 + 52/3*c_0101_6^7 - 22*c_0101_6^6 + 50/3*c_0101_6^5 - 20/3*c_0101_6^4 + 7/3*c_0101_6^3 + 2/3*c_0101_6^2 - 4/3*c_0101_6 + 1/3 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.200 seconds, Total memory usage: 32.09MB