Magma V2.19-8 Tue Aug 20 2013 16:17:49 on localhost [Seed = 543276226] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2046 geometric_solution 5.57744947 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 2 0132 0132 0132 2103 0 0 0 0 0 -1 0 1 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 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 -0.388386683326 0.655605692534 0 4 3 5 0132 0132 0213 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 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 0 0 0 0 0 0 1.013545676334 0.645956222098 6 0 3 0 0132 0132 3201 2103 0 0 0 0 0 1 -1 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.388386683326 0.655605692534 2 1 6 0 2310 0213 3120 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 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 -0.171663565803 0.384196000699 6 1 4 4 1023 0132 2031 1302 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.705903208022 0.960746560710 5 6 1 5 3012 2310 0132 1230 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 -1 1 -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 0.840338347021 0.577670207944 2 4 3 5 0132 1023 3120 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.013545676334 0.645956222098 ==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' : 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' : negation(d['1']), 's_2_6' : d['1'], 's_1_6' : d['1'], 's_1_5' : negation(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_6' : 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_6' : negation(d['c_0011_5']), 'c_1100_5' : d['c_0011_5'], 'c_1100_4' : d['c_0101_4'], 's_3_6' : negation(d['1']), 'c_1100_1' : d['c_0011_5'], 'c_1100_0' : negation(d['c_0101_6']), 'c_1100_3' : negation(d['c_0101_6']), 'c_1100_2' : negation(d['c_0011_3']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0011_5'], 'c_0101_2' : negation(d['c_0101_0']), 'c_0101_1' : d['c_0011_3'], '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_0110_4']), 'c_1001_4' : negation(d['c_0110_4']), 'c_1001_6' : d['c_0101_4'], 'c_1001_1' : negation(d['c_0101_4']), 'c_1001_0' : d['c_0011_5'], 'c_1001_3' : negation(d['c_0101_4']), 'c_1001_2' : negation(d['c_0011_5']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_3'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_6'], 'c_0110_5' : d['c_0011_5'], '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_0101_0'], 'c_1010_4' : negation(d['c_0101_4']), 'c_1010_3' : d['c_0011_5'], 'c_1010_2' : d['c_0011_5'], 'c_1010_1' : negation(d['c_0110_4']), 'c_1010_0' : negation(d['c_0011_5'])})} 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_4, c_0101_6, c_0110_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t + 623209/2453*c_0110_4^10 - 7693028/7359*c_0110_4^9 + 3981973/2453*c_0110_4^8 - 13916173/7359*c_0110_4^7 + 14019757/7359*c_0110_4^6 + 399875/7359*c_0110_4^5 + 2579876/7359*c_0110_4^4 + 7705219/7359*c_0110_4^3 - 2003585/7359*c_0110_4^2 + 1366723/7359*c_0110_4 - 376360/2453, c_0011_0 - 1, c_0011_3 - 3505/669*c_0110_4^10 + 44420/2007*c_0110_4^9 - 74086/2007*c_0110_4^8 + 94135/2007*c_0110_4^7 - 32626/669*c_0110_4^6 + 1499/223*c_0110_4^5 - 21349/2007*c_0110_4^4 - 15911/669*c_0110_4^3 + 16978/2007*c_0110_4^2 - 10691/2007*c_0110_4 + 8843/2007, c_0011_5 - 5956/669*c_0110_4^10 + 74360/2007*c_0110_4^9 - 117877/2007*c_0110_4^8 + 139858/2007*c_0110_4^7 - 15926/223*c_0110_4^6 + 1985/669*c_0110_4^5 - 27892/2007*c_0110_4^4 - 23899/669*c_0110_4^3 + 25591/2007*c_0110_4^2 - 14786/2007*c_0110_4 + 13697/2007, c_0101_0 + 94/223*c_0110_4^10 - 1511/669*c_0110_4^9 + 1004/223*c_0110_4^8 - 3415/669*c_0110_4^7 + 3922/669*c_0110_4^6 - 3190/669*c_0110_4^5 + 1334/669*c_0110_4^4 - 827/669*c_0110_4^3 - 1049/669*c_0110_4^2 + 1099/669*c_0110_4 - 220/223, c_0101_4 - 5956/669*c_0110_4^10 + 74360/2007*c_0110_4^9 - 117877/2007*c_0110_4^8 + 139858/2007*c_0110_4^7 - 15926/223*c_0110_4^6 + 1985/669*c_0110_4^5 - 27892/2007*c_0110_4^4 - 23899/669*c_0110_4^3 + 23584/2007*c_0110_4^2 - 12779/2007*c_0110_4 + 13697/2007, c_0101_6 + 3505/669*c_0110_4^10 - 44420/2007*c_0110_4^9 + 74086/2007*c_0110_4^8 - 94135/2007*c_0110_4^7 + 32626/669*c_0110_4^6 - 1499/223*c_0110_4^5 + 21349/2007*c_0110_4^4 + 15911/669*c_0110_4^3 - 16978/2007*c_0110_4^2 + 10691/2007*c_0110_4 - 8843/2007, c_0110_4^11 - 14/3*c_0110_4^10 + 26/3*c_0110_4^9 - 11*c_0110_4^8 + 35/3*c_0110_4^7 - 4*c_0110_4^6 + 4/3*c_0110_4^5 + 10/3*c_0110_4^4 - 10/3*c_0110_4^3 + 4/3*c_0110_4^2 - c_0110_4 + 1/3 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB