Magma V2.19-8 Tue Aug 20 2013 16:14:08 on localhost [Seed = 1528481660] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s097 geometric_solution 3.93531466 oriented_manifold CS_known -0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 6 1 0 1 0 0132 1302 2310 2031 0 0 0 0 0 -1 0 1 -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 0 0 0 0 0 0 0 -1 0 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1.045912015306 0.454426677316 0 0 3 2 0132 3201 0132 0132 0 0 0 0 0 0 0 0 1 0 0 -1 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 1 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 1.329032083140 0.911538949764 4 3 1 5 0132 2031 0132 0132 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 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 0.556436114247 0.511004768582 2 4 5 1 1302 2310 3012 0132 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 0 1 -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 1.308837536795 0.277774295019 2 5 5 3 0132 1302 3201 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 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 0.270077672216 0.452902703526 4 3 2 4 2310 1230 0132 2031 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 1 -1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.482641963106 0.828775123905 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(d['1']), 's_3_3' : negation(d['1']), 's_3_2' : negation(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' : negation(d['1']), 's_2_2' : negation(d['1']), 's_2_3' : negation(d['1']), 's_2_4' : d['1'], 's_2_5' : negation(d['1']), 's_1_5' : negation(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_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_5' : negation(d['c_0011_3']), 'c_1100_4' : negation(d['c_0011_3']), 'c_1100_1' : negation(d['c_0011_3']), 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : negation(d['c_0011_3']), 'c_1100_2' : negation(d['c_0011_3']), 'c_0101_5' : d['c_0101_4'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0011_2']), 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_3'], 'c_0011_4' : negation(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' : d['c_0011_3'], 'c_1001_4' : negation(d['c_0101_4']), 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : negation(d['c_0011_3']), 'c_1001_2' : negation(d['c_0101_1']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0101_4'], 'c_0110_5' : negation(d['c_0101_4']), 'c_0110_4' : d['c_0101_0'], 'c_1010_5' : negation(d['c_0011_2']), 'c_1010_4' : d['c_0011_3'], 'c_1010_3' : negation(d['c_0101_0']), 'c_1010_2' : d['c_0011_3'], 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : d['c_0011_0']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_2, c_0011_3, c_0101_0, c_0101_1, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t + 15198856847/202822377*c_0101_4^8 - 324934391566/202822377*c_0101_4^7 + 13974349580/3324957*c_0101_4^6 + 1596708574316/202822377*c_0101_4^5 - 5799123665207/202822377*c_0101_4^4 + 364597744428/67607459*c_0101_4^3 + 1105888852072/202822377*c_0101_4^2 - 29719714570/202822377*c_0101_4 - 37416746992/202822377, c_0011_0 - 1, c_0011_2 - 78215812/67607459*c_0101_4^8 + 1660192466/67607459*c_0101_4^7 - 67691616/1108319*c_0101_4^6 - 8922882708/67607459*c_0101_4^5 + 28677871335/67607459*c_0101_4^4 - 921176963/67607459*c_0101_4^3 - 7169999394/67607459*c_0101_4^2 - 414800145/67607459*c_0101_4 + 286290075/67607459, c_0011_3 - 95383592/67607459*c_0101_4^8 + 2031694694/67607459*c_0101_4^7 - 85053556/1108319*c_0101_4^6 - 10464154889/67607459*c_0101_4^5 + 35676693955/67607459*c_0101_4^4 - 3912939420/67607459*c_0101_4^3 - 7927418295/67607459*c_0101_4^2 - 162071555/67607459*c_0101_4 + 296256717/67607459, c_0101_0 - 47440590/67607459*c_0101_4^8 + 1006474717/67607459*c_0101_4^7 - 40913547/1108319*c_0101_4^6 - 5403713387/67607459*c_0101_4^5 + 17255289830/67607459*c_0101_4^4 - 547640828/67607459*c_0101_4^3 - 3814660658/67607459*c_0101_4^2 - 397053513/67607459*c_0101_4 + 119822828/67607459, c_0101_1 + 132601855/67607459*c_0101_4^8 - 2819591364/67607459*c_0101_4^7 + 116560530/1108319*c_0101_4^6 + 14789819636/67607459*c_0101_4^5 - 49016061067/67607459*c_0101_4^4 + 3768384856/67607459*c_0101_4^3 + 10905677126/67607459*c_0101_4^2 + 378801633/67607459*c_0101_4 - 368638955/67607459, c_0101_4^9 - 21*c_0101_4^8 + 48*c_0101_4^7 + 126*c_0101_4^6 - 341*c_0101_4^5 - 71*c_0101_4^4 + 95*c_0101_4^3 + 26*c_0101_4^2 - 3*c_0101_4 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB