Magma V2.19-8 Tue Aug 20 2013 16:17:19 on localhost [Seed = 1174919825] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1556 geometric_solution 5.34326683 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 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 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 0.242882820253 0.980335991472 0 1 2 1 0132 2310 3201 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.238108571819 0.961065927138 1 0 3 4 2310 0132 3201 1023 0 0 0 0 0 0 0 0 0 0 1 -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 -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 0.242882820253 0.980335991472 2 5 5 0 2310 0132 1023 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.511580040257 0.176934488008 6 6 0 2 0132 3201 0132 1023 0 0 0 0 0 -1 0 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 -1 1 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 0.914993985679 1.904107809417 5 3 3 5 3012 0132 1023 1230 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.326939527509 0.923459549130 4 6 4 6 0132 1302 2310 2031 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 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 -0.681393022805 0.619627209974 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { '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_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_0011_4'], 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : d['c_0011_3'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : d['c_0011_3'], 'c_1100_3' : d['c_0011_3'], 'c_1100_2' : negation(d['c_0011_3']), 'c_0101_6' : d['c_0101_3'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], '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' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(d['c_0011_4']), '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_3'], 'c_1001_4' : negation(d['c_0101_3']), 'c_1001_6' : d['c_0101_1'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : d['c_0101_3'], 'c_1001_3' : d['c_0101_5'], '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' : negation(d['c_0101_1']), 'c_0110_5' : negation(d['c_0011_3']), 'c_0110_4' : d['c_0101_3'], 'c_0110_6' : d['c_0101_1'], 'c_1010_6' : negation(d['c_0011_4']), 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : negation(d['c_0101_1']), 'c_1010_3' : d['c_0101_3'], 'c_1010_2' : d['c_0101_3'], 'c_1010_1' : negation(d['c_0101_0']), 'c_1010_0' : negation(d['c_0101_3'])})} 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_3, c_0011_4, c_0101_0, c_0101_1, c_0101_3, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 26 Groebner basis: [ t + 4453*c_0101_3*c_0101_5^12 - 7041*c_0101_3*c_0101_5^11 + 1516*c_0101_3*c_0101_5^10 + 623*c_0101_3*c_0101_5^9 - 70990*c_0101_3*c_0101_5^8 + 166200*c_0101_3*c_0101_5^7 - 144326*c_0101_3*c_0101_5^6 + 60119*c_0101_3*c_0101_5^5 + 131860*c_0101_3*c_0101_5^4 - 296512*c_0101_3*c_0101_5^3 + 232435*c_0101_3*c_0101_5^2 - 81343*c_0101_3*c_0101_5 + 10749*c_0101_3, c_0011_0 - 1, c_0011_3 - c_0101_3*c_0101_5^12 + 2*c_0101_3*c_0101_5^11 - c_0101_3*c_0101_5^10 + 16*c_0101_3*c_0101_5^8 - 44*c_0101_3*c_0101_5^7 + 48*c_0101_3*c_0101_5^6 - 27*c_0101_3*c_0101_5^5 - 24*c_0101_3*c_0101_5^4 + 79*c_0101_3*c_0101_5^3 - 80*c_0101_3*c_0101_5^2 + 40*c_0101_3*c_0101_5 - 9*c_0101_3, c_0011_4 + 194*c_0101_3*c_0101_5^12 - 323*c_0101_3*c_0101_5^11 + 81*c_0101_3*c_0101_5^10 + 32*c_0101_3*c_0101_5^9 - 3092*c_0101_3*c_0101_5^8 + 7500*c_0101_3*c_0101_5^7 - 6723*c_0101_3*c_0101_5^6 + 2850*c_0101_3*c_0101_5^5 + 5687*c_0101_3*c_0101_5^4 - 13439*c_0101_3*c_0101_5^3 + 10864*c_0101_3*c_0101_5^2 - 3888*c_0101_3*c_0101_5 + 521*c_0101_3, c_0101_0 + c_0101_5^12 - c_0101_5^11 - 16*c_0101_5^8 + 28*c_0101_5^7 - 20*c_0101_5^6 + 7*c_0101_5^5 + 31*c_0101_5^4 - 48*c_0101_5^3 + 32*c_0101_5^2 - 8*c_0101_5 + 1, c_0101_1 - c_0101_5^11 + c_0101_5^10 + 16*c_0101_5^7 - 28*c_0101_5^6 + 20*c_0101_5^5 - 7*c_0101_5^4 - 31*c_0101_5^3 + 48*c_0101_5^2 - 32*c_0101_5 + 8, c_0101_3^2 - 511*c_0101_5^12 + 767*c_0101_5^11 - 128*c_0101_5^10 - 64*c_0101_5^9 + 8144*c_0101_5^8 - 18420*c_0101_5^7 + 15332*c_0101_5^6 - 6141*c_0101_5^5 - 15331*c_0101_5^4 + 32719*c_0101_5^3 - 24545*c_0101_5^2 + 8183*c_0101_5 - 1023, c_0101_5^13 - 2*c_0101_5^12 + c_0101_5^11 - 16*c_0101_5^9 + 44*c_0101_5^8 - 48*c_0101_5^7 + 27*c_0101_5^6 + 24*c_0101_5^5 - 79*c_0101_5^4 + 80*c_0101_5^3 - 40*c_0101_5^2 + 10*c_0101_5 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB