Magma V2.19-8 Tue Aug 20 2013 16:16:57 on localhost [Seed = 762098173] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1203 geometric_solution 5.09903484 oriented_manifold CS_known -0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 7 1 2 2 1 0132 0132 3201 3201 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 0 0 0 0 0 0 0 0 0 0 0 -0.397937158300 0.192171628336 0 0 1 1 0132 2310 1230 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2.765062163171 0.278761499674 0 0 4 3 2310 0132 0132 0132 0 0 0 0 0 1 0 -1 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 -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 1.284676260460 1.320911650413 5 4 2 4 0132 2031 0132 3012 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 0.708581916157 0.687125058773 3 6 3 2 1302 0132 1230 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 0 -1 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 0.708581916157 0.687125058773 3 6 6 6 0132 1023 1230 1302 1 0 0 0 0 -1 0 1 0 0 0 0 0 1 0 -1 0 -1 1 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.272674302987 0.705301251574 5 4 5 5 1023 0132 2031 3012 0 1 0 0 0 0 1 -1 1 0 -1 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 1 0 -1 1 0 0 -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 0.272674302987 0.705301251574 ==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' : negation(d['1']), 's_1_0' : 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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : negation(d['c_0101_6']), 'c_1100_5' : d['c_0101_6'], 'c_1100_4' : d['c_0101_5'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0101_0'], 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_0101_5'], 'c_1100_2' : d['c_0101_5'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_3']), 'c_0101_3' : negation(d['c_0101_0']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_3'], 'c_0011_6' : negation(d['c_0011_3']), '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_6'], 'c_1001_4' : negation(d['c_0101_5']), 'c_1001_6' : d['c_0101_0'], 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : negation(d['c_0101_2']), 'c_1001_3' : negation(d['c_0101_2']), 'c_1001_2' : d['c_0101_0'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_5'], 'c_0110_2' : negation(d['c_0101_0']), 'c_0110_5' : negation(d['c_0101_0']), 'c_0110_4' : d['c_0101_2'], 'c_0110_6' : d['c_0101_6'], 'c_1010_6' : negation(d['c_0101_5']), 'c_1010_5' : d['c_0101_6'], 'c_1010_4' : d['c_0101_0'], 'c_1010_3' : d['c_0011_3'], 'c_1010_2' : negation(d['c_0101_2']), 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : 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_3, c_0101_0, c_0101_1, c_0101_2, c_0101_5, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t + 272781945/3827392*c_0101_5^6 + 2654109/478424*c_0101_5^5 - 631963149/3827392*c_0101_5^4 - 992189193/3827392*c_0101_5^3 - 9357479/1913696*c_0101_5^2 - 13515409/1913696*c_0101_5 - 123115969/3827392, c_0011_0 - 1, c_0011_3 + 194535/119606*c_0101_5^6 - 48282/59803*c_0101_5^5 - 433447/119606*c_0101_5^4 - 435473/119606*c_0101_5^3 + 157941/59803*c_0101_5^2 - 10640/59803*c_0101_5 - 48627/119606, c_0101_0 - 194535/119606*c_0101_5^6 + 48282/59803*c_0101_5^5 + 433447/119606*c_0101_5^4 + 435473/119606*c_0101_5^3 - 157941/59803*c_0101_5^2 + 70443/59803*c_0101_5 + 48627/119606, c_0101_1 + 833865/239212*c_0101_5^6 + 72416/59803*c_0101_5^5 - 1972917/239212*c_0101_5^4 - 3566729/239212*c_0101_5^3 - 421941/119606*c_0101_5^2 + 79195/119606*c_0101_5 - 195821/239212, c_0101_2 - 240540/59803*c_0101_5^6 - 12089/59803*c_0101_5^5 + 543680/59803*c_0101_5^4 + 904542/59803*c_0101_5^3 + 7660/59803*c_0101_5^2 + 6415/59803*c_0101_5 + 34064/59803, c_0101_5^7 - 1/15*c_0101_5^6 - 7/3*c_0101_5^5 - 10/3*c_0101_5^4 + 7/15*c_0101_5^3 - 1/3*c_0101_5 + 1/15, c_0101_6 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB