Magma V2.19-8 Tue Aug 20 2013 16:15:47 on localhost [Seed = 2311591332] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0007 geometric_solution 3.52916280 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 1 2 3 0132 3201 0132 0132 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 1 -2 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 -0.869847096640 1.974682582879 0 3 0 3 0132 1023 2310 3201 0 0 0 0 0 0 0 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 1 0 -1 0 0 1 -1 -1 0 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.186822618388 0.424115194548 4 3 4 0 0132 2310 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 1 0 -1 0 0 0 0 1 -1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.451568969478 0.586066007970 1 1 0 2 1023 2310 0132 3201 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 -1 2 -1 -1 0 0 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 -0.869847096640 1.974682582879 2 5 2 5 0132 0132 1023 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.702616680312 0.103663524376 6 4 6 4 0132 0132 1023 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.757604645237 0.035453666932 5 6 5 6 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.669116593218 0.016086865067 ==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' : 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' : 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' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : d['c_0011_2'], 'c_1100_5' : negation(d['c_0011_2']), 'c_1100_4' : d['c_0011_2'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : negation(d['c_0011_2']), 'c_1100_3' : negation(d['c_0011_2']), 'c_1100_2' : negation(d['c_0011_2']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_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_2'], 'c_0011_4' : negation(d['c_0011_2']), 'c_0011_6' : negation(d['c_0011_2']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_0']), 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : d['c_0101_6'], 'c_1001_4' : d['c_0101_2'], 'c_1001_6' : d['c_0101_5'], 'c_1001_1' : d['c_0101_1'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_1']), '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_1'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_6'], 'c_0110_4' : d['c_0101_2'], 'c_0110_6' : d['c_0101_5'], 'c_1010_6' : negation(d['c_0011_2']), 'c_1010_5' : d['c_0101_2'], 'c_1010_4' : d['c_0101_6'], 'c_1010_3' : negation(d['c_0101_0']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : d['c_0101_1'], 'c_1010_0' : negation(d['c_0101_1'])})} 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_2, 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: 11 Groebner basis: [ t - 296781949173613568/88614304806445*c_0101_6^10 + 841737251211054784/88614304806445*c_0101_6^9 - 412930050164742464/17722860961289*c_0101_6^8 - 8440574584855184/88614304806445*c_0101_6^7 - 664570788274301528/17722860961289*c_0101_6^6 + 363094294820029216/88614304806445*c_0101_6^5 - 90237985136506796/5212606165085*c_0101_6^4 + 206029268177893239/88614304806445*c_0101_6^3 + 166794480999189557/88614304806445*c_0101_6^2 + 5100451039743277/17722860961289*c_0101_6 - 27280531081708683/88614304806445, c_0011_0 - 1, c_0011_2 + 124170036416/94774657547*c_0101_6^10 - 342288617568/94774657547*c_0101_6^9 + 715446963584/94774657547*c_0101_6^8 + 400701973160/94774657547*c_0101_6^7 + 577264375252/94774657547*c_0101_6^6 - 92941352714/94774657547*c_0101_6^5 - 818510544214/94774657547*c_0101_6^4 - 19139673196/94774657547*c_0101_6^3 - 748045496884/94774657547*c_0101_6^2 + 2985749884/94774657547*c_0101_6 + 85323015091/94774657547, c_0101_0 + 663134184960/94774657547*c_0101_6^10 - 1925862461248/94774657547*c_0101_6^9 + 4576166159712/94774657547*c_0101_6^8 + 174488188608/94774657547*c_0101_6^7 + 6285483719064/94774657547*c_0101_6^6 - 1355192611860/94774657547*c_0101_6^5 + 1741120413190/94774657547*c_0101_6^4 - 493278163798/94774657547*c_0101_6^3 - 1119221951875/94774657547*c_0101_6^2 + 57687661197/94774657547*c_0101_6 + 146143425619/94774657547, c_0101_1 + 104303209408/94774657547*c_0101_6^10 - 299691596704/94774657547*c_0101_6^9 + 719612713088/94774657547*c_0101_6^8 + 26306077784/94774657547*c_0101_6^7 + 1028077461900/94774657547*c_0101_6^6 - 116501178298/94774657547*c_0101_6^5 + 253307331062/94774657547*c_0101_6^4 - 62439636287/94774657547*c_0101_6^3 - 362655890370/94774657547*c_0101_6^2 + 7915709751/94774657547*c_0101_6 - 34250477859/94774657547, c_0101_2 - 370687625088/94774657547*c_0101_6^10 + 632007996768/94774657547*c_0101_6^9 - 1410273271888/94774657547*c_0101_6^8 - 2895920482832/94774657547*c_0101_6^7 - 4228763209436/94774657547*c_0101_6^6 - 4435793267526/94774657547*c_0101_6^5 - 1641517659527/94774657547*c_0101_6^4 - 2152649643913/94774657547*c_0101_6^3 + 357262283366/94774657547*c_0101_6^2 + 124278228695/94774657547*c_0101_6 - 31743045850/94774657547, c_0101_5 + 944789012192/94774657547*c_0101_6^10 - 2319754339280/94774657547*c_0101_6^9 + 5540186785232/94774657547*c_0101_6^8 + 2605763135252/94774657547*c_0101_6^7 + 10395782165102/94774657547*c_0101_6^6 + 3130942461385/94774657547*c_0101_6^5 + 4388192649340/94774657547*c_0101_6^4 + 1636876271992/94774657547*c_0101_6^3 - 820510872095/94774657547*c_0101_6^2 - 159580394060/94774657547*c_0101_6 + 65472148071/94774657547, c_0101_6^11 - 5/2*c_0101_6^10 + 6*c_0101_6^9 + 19/8*c_0101_6^8 + 179/16*c_0101_6^7 + 81/32*c_0101_6^6 + 151/32*c_0101_6^5 + 33/32*c_0101_6^4 - 13/16*c_0101_6^3 - 9/32*c_0101_6^2 + 1/16*c_0101_6 + 1/32 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.210 seconds, Total memory usage: 32.09MB