Magma V2.19-8 Tue Aug 20 2013 16:18:23 on localhost [Seed = 2277907113] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2594 geometric_solution 5.88525559 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 4 0132 0132 0132 0132 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 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 1.424912928385 0.703705700077 0 1 5 1 0132 2310 0132 3201 0 0 0 0 0 0 -1 1 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 -1 1 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 0.043432304733 0.788742469573 5 0 5 6 2310 0132 2103 0132 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 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 0.312923024618 0.732537762344 5 4 6 0 1023 2103 2103 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 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 1.081623561288 1.010998351798 6 3 0 6 3120 2103 0132 3201 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 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 1.283789275395 0.367795077618 2 3 2 1 2103 1023 3201 0132 0 0 0 0 0 0 -1 1 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 -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 -0.069602935515 1.264008244204 3 4 2 4 2103 2310 0132 3120 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.593080653913 0.888993238833 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : negation(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' : 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' : negation(d['1']), 's_1_1' : negation(d['1']), 's_1_0' : negation(d['1']), 's_0_6' : d['1'], 's_0_4' : d['1'], 's_0_5' : negation(d['1']), 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : negation(d['c_0101_1']), 'c_1100_5' : d['c_0011_0'], 'c_1100_4' : negation(d['c_0011_4']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : negation(d['c_0011_4']), 'c_1100_3' : negation(d['c_0011_4']), 'c_1100_2' : negation(d['c_0101_1']), 'c_0101_6' : negation(d['c_0101_2']), 'c_0101_5' : d['c_0101_2'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0101_2']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_3'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : 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' : negation(d['c_0101_2']), 'c_1001_4' : d['c_0011_3'], 'c_1001_6' : d['c_1001_0'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0011_4'], 'c_1001_2' : d['c_0011_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_2']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0011_4'], 'c_0110_6' : d['c_0011_4'], 'c_1010_6' : negation(d['c_0011_4']), 'c_1010_5' : d['c_0101_0'], 'c_1010_4' : negation(d['c_1001_0']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0101_0']), 'c_1010_0' : d['c_0011_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_2, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 2140569860/4129443*c_1001_0^9 + 1981424929/4129443*c_1001_0^8 - 347813425/458827*c_1001_0^7 - 3711985813/4129443*c_1001_0^6 - 516081509/1376481*c_1001_0^5 - 457368946/4129443*c_1001_0^4 + 1445674901/4129443*c_1001_0^3 + 1088483593/4129443*c_1001_0^2 - 33491696/1376481*c_1001_0 - 112867009/4129443, c_0011_0 - 1, c_0011_3 - 745738675/4129443*c_1001_0^9 - 114806435/4129443*c_1001_0^8 + 145897591/458827*c_1001_0^7 + 473098280/4129443*c_1001_0^6 + 204206/458827*c_1001_0^5 - 164525809/4129443*c_1001_0^4 - 545654704/4129443*c_1001_0^3 - 61263839/4129443*c_1001_0^2 + 51150572/1376481*c_1001_0 + 13358819/4129443, c_0011_4 - 213679070/1376481*c_1001_0^9 + 18415252/1376481*c_1001_0^8 + 132241960/458827*c_1001_0^7 + 68331196/1376481*c_1001_0^6 - 50581777/1376481*c_1001_0^5 - 27416199/458827*c_1001_0^4 - 158908873/1376481*c_1001_0^3 + 8939276/1376481*c_1001_0^2 + 57947563/1376481*c_1001_0 + 5179388/1376481, c_0101_0 - 1067514305/4129443*c_1001_0^9 - 19632457/4129443*c_1001_0^8 + 211316027/458827*c_1001_0^7 + 478263862/4129443*c_1001_0^6 - 9735225/458827*c_1001_0^5 - 315275966/4129443*c_1001_0^4 - 771642503/4129443*c_1001_0^3 - 13751212/4129443*c_1001_0^2 + 80270497/1376481*c_1001_0 + 22997596/4129443, c_0101_1 + 444346375/4129443*c_1001_0^9 - 72096340/4129443*c_1001_0^8 - 93268889/458827*c_1001_0^7 - 111968387/4129443*c_1001_0^6 + 46821692/1376481*c_1001_0^5 + 218499406/4129443*c_1001_0^4 + 339026791/4129443*c_1001_0^3 - 35743594/4129443*c_1001_0^2 - 45306772/1376481*c_1001_0 - 18837227/4129443, c_0101_2 - 444346375/4129443*c_1001_0^9 + 72096340/4129443*c_1001_0^8 + 93268889/458827*c_1001_0^7 + 111968387/4129443*c_1001_0^6 - 46821692/1376481*c_1001_0^5 - 218499406/4129443*c_1001_0^4 - 339026791/4129443*c_1001_0^3 + 35743594/4129443*c_1001_0^2 + 43930291/1376481*c_1001_0 + 18837227/4129443, c_1001_0^10 + 37/55*c_1001_0^9 - 101/55*c_1001_0^8 - 92/55*c_1001_0^7 - 7/55*c_1001_0^6 + 5/11*c_1001_0^5 + 54/55*c_1001_0^4 + 28/55*c_1001_0^3 - 14/55*c_1001_0^2 - 1/5*c_1001_0 - 1/55 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.200 seconds, Total memory usage: 32.09MB