Magma V2.19-8 Tue Aug 20 2013 16:18:07 on localhost [Seed = 3650635036] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2343 geometric_solution 5.72421597 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 3 0132 0132 0132 1302 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 1 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 -1.452322662976 2.543331854353 0 4 5 5 0132 0132 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.876907097851 0.875916883330 6 0 3 6 0132 0132 3201 3012 0 0 0 0 0 0 0 0 1 0 -1 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 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 -0.038937351648 0.622566961430 2 4 0 0 2310 0213 2031 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 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 -0.179308576029 0.906586510697 6 1 3 5 1023 0132 0213 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0.518491656511 0.769498634533 6 1 1 4 3201 3201 0132 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0.937249159187 0.418007269200 2 4 2 5 0132 1023 1230 2310 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 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 0.332423663062 0.340624641478 ==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_0011_5'], 'c_1100_5' : d['c_0011_5'], 'c_1100_4' : negation(d['c_0011_5']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_5'], 'c_1100_0' : d['c_0101_3'], 'c_1100_3' : d['c_0101_3'], 'c_1100_2' : negation(d['c_0011_3']), 'c_0101_6' : d['c_0011_5'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0011_3'], '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_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' : negation(d['c_0101_1']), 'c_1001_4' : negation(d['c_0101_1']), 'c_1001_6' : d['c_0011_3'], 'c_1001_1' : negation(d['c_0110_4']), 'c_1001_0' : negation(d['c_0011_5']), '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_0011_5'], 'c_0110_5' : negation(d['c_0110_4']), 'c_0110_4' : d['c_0110_4'], 'c_0110_6' : negation(d['c_0101_0']), 'c_1010_6' : d['c_0110_4'], 'c_1010_5' : d['c_0110_4'], 'c_1010_4' : negation(d['c_0110_4']), 'c_1010_3' : negation(d['c_0011_5']), 'c_1010_2' : negation(d['c_0011_5']), 'c_1010_1' : negation(d['c_0101_1']), '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_5, c_0101_0, c_0101_1, c_0101_3, c_0110_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t - 14132294004/31344551*c_0110_4^10 + 16253275956/31344551*c_0110_4^9 - 4796394598/31344551*c_0110_4^8 + 8792580761/31344551*c_0110_4^7 - 10911599113/31344551*c_0110_4^6 - 6303843387/31344551*c_0110_4^5 - 4899002358/31344551*c_0110_4^4 - 1633444949/31344551*c_0110_4^3 + 11750873235/31344551*c_0110_4^2 + 8245395535/31344551*c_0110_4 + 1571767175/31344551, c_0011_0 - 1, c_0011_3 + 209989032/4477793*c_0110_4^10 - 222794624/4477793*c_0110_4^9 + 31299687/4477793*c_0110_4^8 - 95490208/4477793*c_0110_4^7 + 131332434/4477793*c_0110_4^6 + 129010258/4477793*c_0110_4^5 + 53950602/4477793*c_0110_4^4 + 38586114/4477793*c_0110_4^3 - 180419010/4477793*c_0110_4^2 - 133131257/4477793*c_0110_4 - 21426437/4477793, c_0011_5 - 281464121/4477793*c_0110_4^10 + 292625883/4477793*c_0110_4^9 - 45522410/4477793*c_0110_4^8 + 143255089/4477793*c_0110_4^7 - 184605049/4477793*c_0110_4^6 - 164346997/4477793*c_0110_4^5 - 97253382/4477793*c_0110_4^4 - 46970344/4477793*c_0110_4^3 + 235425211/4477793*c_0110_4^2 + 187801987/4477793*c_0110_4 + 36757982/4477793, c_0101_0 - 44576601/4477793*c_0110_4^10 + 81040194/4477793*c_0110_4^9 - 64892744/4477793*c_0110_4^8 + 58650887/4477793*c_0110_4^7 - 62791282/4477793*c_0110_4^6 + 15890572/4477793*c_0110_4^5 - 19379765/4477793*c_0110_4^4 + 3502999/4477793*c_0110_4^3 + 35676578/4477793*c_0110_4^2 - 655866/4477793*c_0110_4 - 949591/4477793, c_0101_1 - 414896662/4477793*c_0110_4^10 + 463007299/4477793*c_0110_4^9 - 114294268/4477793*c_0110_4^8 + 244096058/4477793*c_0110_4^7 - 305986511/4477793*c_0110_4^6 - 200996441/4477793*c_0110_4^5 - 149282221/4477793*c_0110_4^4 - 47950414/4477793*c_0110_4^3 + 344405100/4477793*c_0110_4^2 + 256329226/4477793*c_0110_4 + 48077450/4477793, c_0101_3 + 48621088/4477793*c_0110_4^10 - 139848947/4477793*c_0110_4^9 + 146338683/4477793*c_0110_4^8 - 109934871/4477793*c_0110_4^7 + 123618436/4477793*c_0110_4^6 - 78119639/4477793*c_0110_4^5 + 17970441/4477793*c_0110_4^4 - 23980121/4477793*c_0110_4^3 - 34806093/4477793*c_0110_4^2 + 39084557/4477793*c_0110_4 + 19807276/4477793, c_0110_4^11 - 11/17*c_0110_4^10 - 4/17*c_0110_4^9 - 8/17*c_0110_4^8 + 8/17*c_0110_4^7 + 14/17*c_0110_4^6 + 10/17*c_0110_4^5 + 5/17*c_0110_4^4 - 13/17*c_0110_4^3 - c_0110_4^2 - 7/17*c_0110_4 - 1/17 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB