Magma V2.19-8 Tue Aug 20 2013 16:14:28 on localhost [Seed = 442205727] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s457 geometric_solution 4.78092174 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 6 1 2 1 3 0132 0132 1023 0132 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 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 1.532490984264 0.628150014963 0 1 0 1 0132 1302 1023 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -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 0.534125277789 0.318362657519 3 0 5 4 3012 0132 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 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 0.929954643877 0.922332652825 4 5 0 2 0132 3201 0132 1230 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 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 0.929954643877 0.922332652825 3 4 2 4 0132 2310 0132 3201 0 0 0 0 0 -1 1 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 1 0 -1 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 -0.381437335406 0.823398703609 5 5 3 2 1302 2031 2310 0132 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 -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 0.536176909680 0.462161223969 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_2_0' : negation(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' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : d['1'], 's_1_0' : 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_5' : d['c_0011_3'], 'c_1100_4' : d['c_0011_3'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : d['c_0011_3'], 'c_0101_5' : negation(d['c_0011_5']), 'c_0101_4' : negation(d['c_0011_0']), 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_2'], '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_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' : negation(d['c_0101_2']), 'c_1001_4' : d['c_0101_1'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : d['c_0011_5'], 'c_1001_2' : d['c_0011_5'], '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_0']), 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0101_1'], 'c_1010_5' : d['c_0011_5'], 'c_1010_4' : negation(d['c_0101_1']), 'c_1010_3' : d['c_0101_2'], 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : d['c_0011_5']})} 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_0101_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t + 132564558325/326011885448*c_0101_2^14 - 1180622032509/326011885448*c_0101_2^12 + 9311333449659/326011885448*c_0101_2^10 - 23596163510457/163005942724*c_0101_2^8 + 112452831478657/326011885448*c_0101_2^6 - 43558588271803/81502971362*c_0101_2^4 + 194930816401341/326011885448*c_0101_2^2 - 21601082792735/81502971362, c_0011_0 - 1, c_0011_3 - 2291787483/326011885448*c_0101_2^15 + 19036043127/326011885448*c_0101_2^13 - 150230834121/326011885448*c_0101_2^11 + 365917577273/163005942724*c_0101_2^9 - 1551189179959/326011885448*c_0101_2^7 + 289627420543/40751485681*c_0101_2^5 - 2431818267435/326011885448*c_0101_2^3 + 69723398786/40751485681*c_0101_2, c_0011_5 + 948332825/326011885448*c_0101_2^15 - 7664007301/326011885448*c_0101_2^13 + 61508122587/326011885448*c_0101_2^11 - 147612837847/163005942724*c_0101_2^9 + 628748544773/326011885448*c_0101_2^7 - 125301736113/40751485681*c_0101_2^5 + 958860176337/326011885448*c_0101_2^3 - 22712835408/40751485681*c_0101_2, c_0101_0 - 4197469383/326011885448*c_0101_2^15 + 37938786783/326011885448*c_0101_2^13 - 298799802057/326011885448*c_0101_2^11 + 763228118339/163005942724*c_0101_2^9 - 3705966319179/326011885448*c_0101_2^7 + 1440088870923/81502971362*c_0101_2^5 - 6680706335807/326011885448*c_0101_2^3 + 808201824323/81502971362*c_0101_2, c_0101_1 + 671727329/163005942724*c_0101_2^14 - 5686017913/163005942724*c_0101_2^12 + 44361355767/163005942724*c_0101_2^10 - 109152369713/81502971362*c_0101_2^8 + 461220317593/163005942724*c_0101_2^6 - 164325684430/40751485681*c_0101_2^4 + 736479045549/163005942724*c_0101_2^2 - 47010563378/40751485681, c_0101_2^16 - 9*c_0101_2^14 + 71*c_0101_2^12 - 362*c_0101_2^10 + 877*c_0101_2^8 - 1372*c_0101_2^6 + 1553*c_0101_2^4 - 732*c_0101_2^2 + 16 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB