Magma V2.19-8 Tue Aug 20 2013 16:18:40 on localhost [Seed = 2311591045] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2834 geometric_solution 6.05397209 oriented_manifold CS_known 0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1230 3012 0132 3201 0 0 0 0 0 1 -1 0 0 0 1 -1 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 -1 1 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.388326761861 0.299617427128 2 0 3 0 0132 2310 0132 0132 0 0 0 0 0 0 -1 1 0 0 1 -1 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 0 0 0 0 0 -1 1 0 -1 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.997467211794 0.945839502365 1 4 5 5 0132 0132 0132 2031 0 0 0 0 0 -1 1 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 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.299198767726 0.964906820533 4 5 6 1 2103 1023 0132 0132 0 0 0 0 0 -1 0 1 1 0 0 -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 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 0.072016725117 0.809570016399 6 2 3 6 2310 0132 2103 3201 0 0 0 0 0 1 -1 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 0 0 0 0 0.333996242476 0.375073296024 3 2 6 2 1023 1302 2103 0132 0 0 0 0 0 1 0 -1 1 0 0 -1 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.337922429669 0.743504222342 5 4 4 3 2103 2310 3201 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 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 0.675844859339 1.487008444685 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : negation(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' : negation(d['1']), 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : d['1'], 's_1_6' : negation(d['1']), 's_1_5' : d['1'], 's_1_4' : negation(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' : 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_1']), 'c_1100_5' : negation(d['c_0101_3']), 'c_1100_4' : negation(d['c_0011_6']), 's_3_6' : negation(d['1']), 'c_1100_1' : negation(d['c_0011_1']), 'c_1100_0' : negation(d['c_0011_1']), 'c_1100_3' : negation(d['c_0011_1']), 'c_1100_2' : negation(d['c_0101_3']), 'c_0101_6' : d['c_0101_5'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_3'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0011_6'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_3'], 'c_0011_4' : d['c_0011_1'], 'c_0011_6' : d['c_0011_6'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : d['c_0011_6'], 'c_1001_4' : d['c_0011_3'], 'c_1001_6' : negation(d['c_0101_3']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0101_5'], 'c_1001_2' : d['c_0101_3'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0011_6'], 'c_0110_2' : d['c_0011_6'], 'c_0110_5' : d['c_0101_0'], 'c_0110_4' : negation(d['c_0101_5']), 'c_0110_6' : d['c_0101_3'], 'c_1010_6' : d['c_0101_5'], 'c_1010_5' : d['c_0101_3'], 'c_1010_4' : d['c_0101_3'], 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : d['c_0011_3'], 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : negation(d['c_0101_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_1, c_0011_3, c_0011_6, c_0101_0, c_0101_3, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 24 Groebner basis: [ t + 582614863/84152832*c_0101_5^11 - 1678654561/21038208*c_0101_5^9 + 133723973477/84152832*c_0101_5^7 - 378977120311/42076416*c_0101_5^5 + 105227176495/14025472*c_0101_5^3 - 9737185441/5259552*c_0101_5, c_0011_0 - 1, c_0011_1 - 9743/876592*c_0101_5^10 + 55517/438296*c_0101_5^8 - 2220379/876592*c_0101_5^6 + 6184479/438296*c_0101_5^4 - 4255683/438296*c_0101_5^2 + 74078/54787, c_0011_3 + 29283/876592*c_0101_5^11 - 21478/54787*c_0101_5^9 + 6788753/876592*c_0101_5^7 - 19739765/438296*c_0101_5^5 + 19543613/438296*c_0101_5^3 - 1327465/109574*c_0101_5, c_0011_6 + 3903/219148*c_0101_5^10 - 43923/219148*c_0101_5^8 + 442001/109574*c_0101_5^6 - 1210106/54787*c_0101_5^4 + 760534/54787*c_0101_5^2 - 140598/54787, c_0101_0 + 275267/1753184*c_0101_3*c_0101_5^11 - 795527/438296*c_0101_3*c_0101_5^9 + 63285725/1753184*c_0101_3*c_0101_5^7 - 180127893/876592*c_0101_3*c_0101_5^5 + 154755121/876592*c_0101_3*c_0101_5^3 - 9526567/219148*c_0101_3*c_0101_5, c_0101_3^2 + 1937/438296*c_0101_5^10 - 5797/109574*c_0101_5^8 + 452375/438296*c_0101_5^6 - 1344055/219148*c_0101_5^4 + 1432695/219148*c_0101_5^2 - 117132/54787, c_0101_5^12 - 12*c_0101_5^10 + 235*c_0101_5^8 - 1410*c_0101_5^6 + 1702*c_0101_5^4 - 784*c_0101_5^2 + 128 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB