Magma V2.19-8 Tue Aug 20 2013 16:18:14 on localhost [Seed = 2000087630] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2443 geometric_solution 5.78787645 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 0 1 0 0132 1302 2310 2031 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.692711931277 0.742182365660 0 0 3 2 0132 3201 0132 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.605268038042 1.688012120718 4 5 1 3 0132 0132 0132 3012 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 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.812082867249 0.803273142649 5 4 2 1 3201 3201 1230 0132 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 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.812082867249 0.803273142649 2 6 3 6 0132 0132 2310 1023 0 0 0 0 0 0 1 -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 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 0.859567335954 1.212306442929 5 2 5 3 2031 0132 1302 2310 0 0 0 0 0 0 1 -1 -1 0 1 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 0 -1 1 1 0 -1 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 0.577669764780 0.390622034631 6 4 6 4 2310 0132 3201 1023 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.579754642501 0.272818874337 ==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' : negation(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' : negation(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' : negation(d['c_0011_2']), 'c_1100_5' : d['c_0011_2'], 'c_1100_4' : d['c_0011_2'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0101_4'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : d['c_0101_4'], 'c_1100_2' : d['c_0101_4'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0011_2'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : 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_2']), 'c_0011_4' : negation(d['c_0011_2']), 'c_0011_6' : 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_2'], 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0101_3']), 'c_1001_4' : d['c_0101_0'], 'c_1001_6' : negation(d['c_0101_6']), 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : negation(d['c_0101_4']), '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_3']), 'c_0110_4' : d['c_0101_0'], 'c_0110_6' : negation(d['c_0101_6']), 'c_1010_6' : d['c_0101_0'], 'c_1010_5' : negation(d['c_0101_1']), 'c_1010_4' : negation(d['c_0101_6']), 'c_1010_3' : negation(d['c_0101_0']), 'c_1010_2' : negation(d['c_0101_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 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_2, c_0101_0, c_0101_1, c_0101_3, c_0101_4, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 55*c_0101_3*c_0101_4^3 - 34*c_0101_3*c_0101_4^2 + 291/4*c_0101_3*c_0101_4 - 27/4*c_0101_3, c_0011_0 - 1, c_0011_2 - 2*c_0101_3*c_0101_4^3 - 2*c_0101_3*c_0101_4^2 + 3/2*c_0101_3*c_0101_4 + 1/2*c_0101_3, c_0101_0 + 2*c_0101_4^2 + c_0101_4 - 1, c_0101_1 + 2*c_0101_3*c_0101_4^3 + 2*c_0101_3*c_0101_4^2 - 3/2*c_0101_3*c_0101_4 - 1/2*c_0101_3, c_0101_3^2 - 4*c_0101_4^2 - 2*c_0101_4, c_0101_4^4 + c_0101_4^3 - 5/4*c_0101_4^2 - 1/2*c_0101_4 + 1/4, c_0101_6 - 1 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_2, c_0101_0, c_0101_1, c_0101_3, c_0101_4, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 22 Groebner basis: [ t + 857127323/32698241*c_0101_3*c_0101_6^10 + 13225152234/32698241*c_0101_3*c_0101_6^9 + 67613177268/32698241*c_0101_3*c_0101_6^8 + 126018212379/32698241*c_0101_3*c_0101_6^7 + 30409235406/32698241*c_0101_3*c_0101_6^6 - 180194881610/32698241*c_0101_3*c_0101_6^5 - 161397152567/32698241*c_0101_3*c_0101_6^4 + 70879804169/32698241*c_0101_3*c_0101_6^3 + 98233979281/32698241*c_0101_3*c_0101_6^2 - 6130043863/32698241*c_0101_3*c_0101_6 - 13099201482/32698241*c_0101_3, c_0011_0 - 1, c_0011_2 + 7499487/32698241*c_0101_3*c_0101_6^10 + 120332563/32698241*c_0101_3*c_0101_6^9 + 666577073/32698241*c_0101_3*c_0101_6^8 + 1525890726/32698241*c_0101_3*c_0101_6^7 + 1262072139/32698241*c_0101_3*c_0101_6^6 - 735357217/32698241*c_0101_3*c_0101_6^5 - 1938327226/32698241*c_0101_3*c_0101_6^4 - 732862720/32698241*c_0101_3*c_0101_6^3 + 460714836/32698241*c_0101_3*c_0101_6^2 + 403120523/32698241*c_0101_3*c_0101_6 + 84014313/32698241*c_0101_3, c_0101_0 + 1624475/32698241*c_0101_6^10 + 24707896/32698241*c_0101_6^9 + 124868121/32698241*c_0101_6^8 + 243645241/32698241*c_0101_6^7 + 160675146/32698241*c_0101_6^6 - 108780755/32698241*c_0101_6^5 - 208043159/32698241*c_0101_6^4 - 72443637/32698241*c_0101_6^3 + 33782453/32698241*c_0101_6^2 + 52087422/32698241*c_0101_6 - 5875012/32698241, c_0101_1 - 23444923/32698241*c_0101_3*c_0101_6^10 - 363038853/32698241*c_0101_3*c_0101_6^9 - 1872636954/32698241*c_0101_3*c_0101_6^8 - 3598801898/32698241*c_0101_3*c_0101_6^7 - 1269562977/32698241*c_0101_3*c_0101_6^6 + 4458202176/32698241*c_0101_3*c_0101_6^5 + 4689468436/32698241*c_0101_3*c_0101_6^4 - 913590607/32698241*c_0101_3*c_0101_6^3 - 2166329614/32698241*c_0101_3*c_0101_6^2 - 275755249/32698241*c_0101_3*c_0101_6 - 4579260/32698241*c_0101_3, c_0101_3^2 - 14050194/32698241*c_0101_6^10 - 224308201/32698241*c_0101_6^9 - 1226251226/32698241*c_0101_6^8 - 2690492761/32698241*c_0101_6^7 - 1788884310/32698241*c_0101_6^6 + 2228009732/32698241*c_0101_6^5 + 3816641635/32698241*c_0101_6^4 + 555671645/32698241*c_0101_6^3 - 1453003671/32698241*c_0101_6^2 - 548295938/32698241*c_0101_6 - 66417671/32698241, c_0101_4 - 1624475/32698241*c_0101_6^10 - 24707896/32698241*c_0101_6^9 - 124868121/32698241*c_0101_6^8 - 243645241/32698241*c_0101_6^7 - 160675146/32698241*c_0101_6^6 + 108780755/32698241*c_0101_6^5 + 208043159/32698241*c_0101_6^4 + 72443637/32698241*c_0101_6^3 - 33782453/32698241*c_0101_6^2 - 84785663/32698241*c_0101_6 - 26823229/32698241, c_0101_6^11 + 16*c_0101_6^10 + 88*c_0101_6^9 + 197*c_0101_6^8 + 146*c_0101_6^7 - 134*c_0101_6^6 - 276*c_0101_6^5 - 77*c_0101_6^4 + 85*c_0101_6^3 + 54*c_0101_6^2 + 12*c_0101_6 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB