Magma V2.19-8 Tue Aug 20 2013 16:17:58 on localhost [Seed = 880126195] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2200 geometric_solution 5.65327876 oriented_manifold CS_known 0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 4 0132 0132 0132 0132 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 0.809460366751 0.482759324111 0 5 6 2 0132 0132 0132 2310 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.228959666949 0.552422552808 1 0 3 6 3201 0132 3201 1230 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 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 2.167379443035 1.212254331710 2 6 5 0 2310 1230 2103 0132 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 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 0.809460366751 0.482759324111 6 5 0 5 1023 3201 0132 1023 0 0 0 0 0 0 -1 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 -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 0.678959538142 0.364747503800 3 1 4 4 2103 0132 2310 1023 0 0 0 0 0 0 0 0 0 0 1 -1 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 1 -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 1.359720310270 1.544835146842 2 4 3 1 3012 1023 3012 0132 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 1 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 0.857022035442 0.614025337374 ==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' : d['1'], 's_3_0' : d['1'], 's_2_0' : negation(d['1']), 's_2_1' : 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' : d['1'], 's_1_5' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : negation(d['1']), 's_1_0' : 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_0011_0']), 'c_1100_5' : d['c_0011_4'], 'c_1100_4' : negation(d['c_0011_4']), 's_3_6' : d['1'], 'c_1100_1' : negation(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_0011_3']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_3'], 'c_0101_4' : negation(d['c_0011_3']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0101_0']), 'c_0101_1' : negation(d['c_0011_3']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_0'], '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_0011_4']), 'c_1001_4' : negation(d['c_0101_3']), 'c_1001_6' : negation(d['c_0011_3']), 'c_1001_1' : d['c_0110_4'], 'c_1001_0' : d['c_0101_6'], 'c_1001_3' : d['c_0011_0'], 'c_1001_2' : negation(d['c_0101_3']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_3']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0011_4'], 'c_0110_5' : d['c_0011_4'], 'c_0110_4' : d['c_0110_4'], 'c_0110_6' : negation(d['c_0011_3']), 'c_1010_6' : d['c_0110_4'], 'c_1010_5' : d['c_0110_4'], 'c_1010_4' : d['c_0011_4'], 'c_1010_3' : d['c_0101_6'], 'c_1010_2' : d['c_0101_6'], 'c_1010_1' : negation(d['c_0011_4']), 'c_1010_0' : negation(d['c_0101_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_3, c_0101_6, c_0110_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 247/322*c_0110_4^7 - 1095/644*c_0110_4^6 - 21/92*c_0110_4^5 - 1363/322*c_0110_4^4 - 2453/322*c_0110_4^3 + 3093/644*c_0110_4^2 - 191/322*c_0110_4 - 1361/322, c_0011_0 - 1, c_0011_3 + 1, c_0011_4 - 5/46*c_0110_4^7 - 19/92*c_0110_4^6 + 19/92*c_0110_4^5 - 9/23*c_0110_4^4 - 45/46*c_0110_4^3 + 125/92*c_0110_4^2 + 1/23*c_0110_4 - 35/46, c_0101_0 - 11/184*c_0110_4^7 + 9/184*c_0110_4^6 + 15/46*c_0110_4^5 - 13/23*c_0110_4^4 + 39/184*c_0110_4^3 + 89/46*c_0110_4^2 - 191/92*c_0110_4 - 1/23, c_0101_3 + 43/184*c_0110_4^7 + 61/184*c_0110_4^6 - 19/92*c_0110_4^5 + 32/23*c_0110_4^4 + 249/184*c_0110_4^3 - 217/92*c_0110_4^2 + 111/92*c_0110_4 - 11/46, c_0101_6 - 11/184*c_0110_4^7 + 9/184*c_0110_4^6 + 15/46*c_0110_4^5 - 13/23*c_0110_4^4 + 39/184*c_0110_4^3 + 89/46*c_0110_4^2 - 191/92*c_0110_4 - 1/23, c_0110_4^8 + c_0110_4^7 - 2*c_0110_4^6 + 6*c_0110_4^5 + 3*c_0110_4^4 - 16*c_0110_4^3 + 12*c_0110_4^2 - 4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB