Magma V2.19-8 Tue Aug 20 2013 16:18:48 on localhost [Seed = 2345277172] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2964 geometric_solution 6.14823508 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 1 2 2 0132 3201 0132 3201 0 0 0 0 0 -1 0 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 -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 0.446779972771 0.330677002094 0 3 0 3 0132 0132 2310 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 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 -0.446078834833 1.070291962570 4 0 5 0 0132 2310 0132 0132 0 0 0 0 0 0 0 0 0 0 1 -1 -1 1 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.107141192396 0.739614960476 1 1 6 5 3201 0132 0132 3012 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 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.191834136439 1.324265616868 2 6 5 6 0132 3120 1302 1302 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 -1 1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.740513402397 0.779792748733 4 6 3 2 2031 3012 1230 0132 0 0 0 0 0 0 0 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 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 0.458014997032 0.763747861927 5 4 4 3 1230 3120 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 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 0.359659444322 0.674306393944 ==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_6'], 'c_1100_5' : negation(d['c_0011_2']), 'c_1100_4' : d['c_0101_5'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : negation(d['c_0011_2']), 'c_1100_3' : d['c_0011_6'], 'c_1100_2' : negation(d['c_0011_2']), 'c_0101_6' : d['c_0101_5'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_5']), 'c_0101_3' : d['c_0011_5'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_5']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_2']), 'c_0011_6' : d['c_0011_6'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_0'], 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0011_6']), 'c_1001_4' : d['c_0101_2'], 'c_1001_6' : negation(d['c_0101_2']), 'c_1001_1' : negation(d['c_0101_5']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : d['c_0011_2'], 'c_1001_2' : negation(d['c_0101_5']), 'c_0110_1' : negation(d['c_0011_5']), 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0011_2']), 'c_0110_2' : negation(d['c_0011_5']), 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0101_2'], 'c_0110_6' : d['c_0011_5'], 'c_1010_6' : d['c_0011_2'], 'c_1010_5' : negation(d['c_0101_5']), 'c_1010_4' : negation(d['c_0011_6']), 'c_1010_3' : negation(d['c_0101_5']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : d['c_0011_2'], 'c_1010_0' : d['c_0101_5']})} 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_5, c_0011_6, c_0101_1, c_0101_2, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t + 67172957/53821377*c_0101_5^10 - 191495548/53821377*c_0101_5^9 - 22680672/5980153*c_0101_5^8 - 226733581/17940459*c_0101_5^7 - 197096170/53821377*c_0101_5^6 - 324335531/53821377*c_0101_5^5 + 405214787/53821377*c_0101_5^4 + 3307573127/53821377*c_0101_5^3 + 3835853000/53821377*c_0101_5^2 + 869475889/17940459*c_0101_5 + 299412434/17940459, c_0011_0 - 1, c_0011_2 - 724837/35880918*c_0101_5^10 + 1970818/17940459*c_0101_5^9 - 962079/5980153*c_0101_5^8 + 2130696/5980153*c_0101_5^7 - 10999034/17940459*c_0101_5^6 + 11314985/17940459*c_0101_5^5 - 38590447/35880918*c_0101_5^4 - 191827/35880918*c_0101_5^3 + 10280011/17940459*c_0101_5^2 - 1863372/5980153*c_0101_5 + 7887499/11960306, c_0011_5 + 4072807/35880918*c_0101_5^10 - 17016065/35880918*c_0101_5^9 + 2671481/11960306*c_0101_5^8 - 14142579/11960306*c_0101_5^7 + 41293825/35880918*c_0101_5^6 - 58653331/35880918*c_0101_5^5 + 35751827/17940459*c_0101_5^4 + 116176219/35880918*c_0101_5^3 + 32390629/35880918*c_0101_5^2 + 16356557/11960306*c_0101_5 + 2209435/5980153, c_0011_6 + 936994/17940459*c_0101_5^10 - 5114990/17940459*c_0101_5^9 + 2327064/5980153*c_0101_5^8 - 4216434/5980153*c_0101_5^7 + 21760699/17940459*c_0101_5^6 - 23843992/17940459*c_0101_5^5 + 31075042/17940459*c_0101_5^4 + 4960297/17940459*c_0101_5^3 - 27560180/17940459*c_0101_5^2 + 4446439/5980153*c_0101_5 - 786039/5980153, c_0101_1 - 1, c_0101_2 + 936994/17940459*c_0101_5^10 - 5114990/17940459*c_0101_5^9 + 2327064/5980153*c_0101_5^8 - 4216434/5980153*c_0101_5^7 + 21760699/17940459*c_0101_5^6 - 23843992/17940459*c_0101_5^5 + 31075042/17940459*c_0101_5^4 + 4960297/17940459*c_0101_5^3 - 27560180/17940459*c_0101_5^2 + 4446439/5980153*c_0101_5 - 786039/5980153, c_0101_5^11 - 4*c_0101_5^10 + c_0101_5^9 - 9*c_0101_5^8 + 7*c_0101_5^7 - 9*c_0101_5^6 + 12*c_0101_5^5 + 38*c_0101_5^4 + 8*c_0101_5^3 + 7*c_0101_5^2 + 6*c_0101_5 + 3 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB