Magma V2.19-8 Tue Aug 20 2013 16:14:53 on localhost [Seed = 1065263959] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s862 geometric_solution 5.50048642 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 6 1 2 1 3 0132 0132 1230 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 1 0 0 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.303215286974 0.975199063032 0 3 2 0 0132 1302 2103 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.169027476461 0.698802907302 1 0 5 4 2103 0132 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 -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 0.336770995727 0.785367908526 4 4 0 1 1230 2031 0132 2031 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 -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 0.336770995727 0.785367908526 3 3 2 5 1302 3012 0132 3201 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 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 0.336770995727 0.785367908526 5 4 5 2 2031 2310 1302 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.214438740137 1.512705528425 ==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' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : 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' : d['1'], 's_1_0' : negation(d['1']), 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_5' : negation(d['c_0011_5']), 'c_1100_4' : negation(d['c_0011_5']), 'c_1100_1' : d['c_0011_3'], 'c_1100_0' : d['c_0101_0'], 'c_1100_3' : d['c_0101_0'], 'c_1100_2' : negation(d['c_0011_5']), 'c_0101_5' : negation(d['c_0011_5']), 'c_0101_4' : negation(d['c_0011_3']), 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_1'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(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' : d['c_0101_1'], 'c_1001_4' : negation(d['c_0011_3']), 'c_1001_1' : negation(d['c_0011_0']), 'c_1001_0' : negation(d['c_0011_3']), 'c_1001_3' : negation(d['c_0110_4']), 'c_1001_2' : negation(d['c_0110_4']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0011_0']), 'c_0110_2' : negation(d['c_0011_3']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0110_4'], 'c_1010_5' : negation(d['c_0110_4']), 'c_1010_4' : negation(d['c_0101_1']), 'c_1010_3' : negation(d['c_0011_0']), 'c_1010_2' : negation(d['c_0011_3']), 'c_1010_1' : negation(d['c_0101_0']), 'c_1010_0' : negation(d['c_0110_4'])})} 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_3, c_0011_5, c_0101_0, c_0101_1, c_0110_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t - 422131409/597747315*c_0110_4^8 - 28499477/199249105*c_0110_4^7 + 317768114/597747315*c_0110_4^6 + 914495558/119549463*c_0110_4^5 - 4633407296/597747315*c_0110_4^4 - 936629911/39849821*c_0110_4^3 + 3753726578/199249105*c_0110_4^2 + 30383060944/597747315*c_0110_4 - 33776121079/597747315, c_0011_0 - 1, c_0011_3 - 217150/2097359*c_0110_4^8 - 1781/2097359*c_0110_4^7 + 300147/2097359*c_0110_4^6 + 2491272/2097359*c_0110_4^5 - 2625505/2097359*c_0110_4^4 - 7896061/2097359*c_0110_4^3 + 6636196/2097359*c_0110_4^2 + 17324938/2097359*c_0110_4 - 18523771/2097359, c_0011_5 + 34110/2097359*c_0110_4^8 + 110967/2097359*c_0110_4^7 + 78704/2097359*c_0110_4^6 - 385245/2097359*c_0110_4^5 - 817121/2097359*c_0110_4^4 + 839099/2097359*c_0110_4^3 + 2396905/2097359*c_0110_4^2 - 1058974/2097359*c_0110_4 - 2427027/2097359, c_0101_0 + 644861/2097359*c_0110_4^8 + 253041/2097359*c_0110_4^7 - 363850/2097359*c_0110_4^6 - 7053528/2097359*c_0110_4^5 + 5451796/2097359*c_0110_4^4 + 21084956/2097359*c_0110_4^3 - 12941067/2097359*c_0110_4^2 - 45405251/2097359*c_0110_4 + 43059572/2097359, c_0101_1 - 43345/2097359*c_0110_4^8 - 42322/2097359*c_0110_4^7 + 11281/2097359*c_0110_4^6 + 481246/2097359*c_0110_4^5 - 164050/2097359*c_0110_4^4 - 1833957/2097359*c_0110_4^3 - 280420/2097359*c_0110_4^2 + 4504326/2097359*c_0110_4 - 971323/2097359, c_0110_4^9 - c_0110_4^8 - c_0110_4^7 - 10*c_0110_4^6 + 24*c_0110_4^5 + 20*c_0110_4^4 - 66*c_0110_4^3 - 41*c_0110_4^2 + 166*c_0110_4 - 95 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.000 Total time: 0.200 seconds, Total memory usage: 32.09MB