Magma V2.19-8 Tue Aug 20 2013 16:17:59 on localhost [Seed = 3869735456] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2219 geometric_solution 5.66322242 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 3 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.295944875224 0.502895828150 0 2 5 4 0132 2031 0132 0132 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 0 0 0.622545539231 0.533183467642 1 0 4 5 1302 0132 3201 2310 0 0 0 0 0 1 -1 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 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.622545539231 0.533183467642 3 0 3 0 2031 2310 1302 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1.594910142086 1.651547935634 2 6 1 6 2310 0132 0132 2310 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 1 0 0 -1 0 1 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.064880400372 1.521561096928 2 5 5 1 3201 1230 3012 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.073382746908 0.793607807054 4 4 6 6 3201 0132 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 1 0 -1 0 0 -1 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.273396353099 0.299633506262 ==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' : 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' : 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' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : d['c_0110_6'], 'c_1100_5' : negation(d['c_0011_4']), 'c_1100_4' : negation(d['c_0011_4']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_4']), 'c_1100_0' : negation(d['c_0011_3']), 'c_1100_3' : negation(d['c_0011_3']), 'c_1100_2' : negation(d['c_0011_4']), 'c_0101_6' : d['c_0011_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : negation(d['c_0011_3']), 'c_0101_2' : d['c_0011_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_4']), 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(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' : d['c_0011_4'], 'c_1001_4' : negation(d['c_0011_0']), 'c_1001_6' : negation(d['c_0110_6']), 'c_1001_1' : d['c_0101_5'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : d['c_0101_0'], 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_5']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : negation(d['c_0011_0']), 'c_0110_6' : d['c_0110_6'], 'c_1010_6' : negation(d['c_0011_0']), 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : negation(d['c_0110_6']), 'c_1010_3' : negation(d['c_0101_1']), 'c_1010_2' : negation(d['c_0101_1']), '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_3, c_0011_4, c_0101_0, c_0101_1, c_0101_5, c_0110_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 30 Groebner basis: [ t - 32582*c_0110_6^29 - 5290*c_0110_6^28 + 762852*c_0110_6^27 + 51257*c_0110_6^26 - 7550781*c_0110_6^25 + 142942*c_0110_6^24 + 42107557*c_0110_6^23 - 3872837*c_0110_6^22 - 149703803*c_0110_6^21 + 22728717*c_0110_6^20 + 364627143*c_0110_6^19 - 73902601*c_0110_6^18 - 634785448*c_0110_6^17 + 157818957*c_0110_6^16 + 807548519*c_0110_6^15 - 235760129*c_0110_6^14 - 756194735*c_0110_6^13 + 252417559*c_0110_6^12 + 518516532*c_0110_6^11 - 193806562*c_0110_6^10 - 256092227*c_0110_6^9 + 105258189*c_0110_6^8 + 88321855*c_0110_6^7 - 39296729*c_0110_6^6 - 20102682*c_0110_6^5 + 9552608*c_0110_6^4 + 2699524*c_0110_6^3 - 1353837*c_0110_6^2 - 160992*c_0110_6 + 84298, c_0011_0 - 1, c_0011_3 + 7806*c_0110_6^29 + 12957*c_0110_6^28 - 172185*c_0110_6^27 - 278692*c_0110_6^26 + 1591845*c_0110_6^25 + 2525933*c_0110_6^24 - 8218567*c_0110_6^23 - 12902320*c_0110_6^22 + 26813534*c_0110_6^21 + 42094216*c_0110_6^20 - 59371687*c_0110_6^19 - 94039823*c_0110_6^18 + 93034466*c_0110_6^17 + 149630563*c_0110_6^16 - 105525363*c_0110_6^15 - 173062986*c_0110_6^14 + 87438937*c_0110_6^13 + 146496568*c_0110_6^12 - 52916313*c_0110_6^11 - 90507060*c_0110_6^10 + 23137602*c_0110_6^9 + 40285706*c_0110_6^8 - 7119598*c_0110_6^7 - 12565049*c_0110_6^6 + 1461713*c_0110_6^5 + 2601965*c_0110_6^4 - 179354*c_0110_6^3 - 320527*c_0110_6^2 + 9908*c_0110_6 + 17714, c_0011_4 - c_0110_6^29 - c_0110_6^28 + 23*c_0110_6^27 + 21*c_0110_6^26 - 224*c_0110_6^25 - 186*c_0110_6^24 + 1233*c_0110_6^23 + 932*c_0110_6^22 - 4346*c_0110_6^21 - 2999*c_0110_6^20 + 10549*c_0110_6^19 + 6635*c_0110_6^18 - 18427*c_0110_6^17 - 10473*c_0110_6^16 + 23759*c_0110_6^15 + 12010*c_0110_6^14 - 22891*c_0110_6^13 - 10051*c_0110_6^12 + 16518*c_0110_6^11 + 6110*c_0110_6^10 - 8867*c_0110_6^9 - 2660*c_0110_6^8 + 3481*c_0110_6^7 + 806*c_0110_6^6 - 968*c_0110_6^5 - 161*c_0110_6^4 + 180*c_0110_6^3 + 19*c_0110_6^2 - 19*c_0110_6 - 1, c_0101_0 - 18*c_0110_6^29 - 19*c_0110_6^28 + 412*c_0110_6^27 + 400*c_0110_6^26 - 3988*c_0110_6^25 - 3551*c_0110_6^24 + 21784*c_0110_6^23 + 17823*c_0110_6^22 - 76063*c_0110_6^21 - 57396*c_0110_6^20 + 182537*c_0110_6^19 + 126980*c_0110_6^18 - 314502*c_0110_6^17 - 200306*c_0110_6^16 + 398762*c_0110_6^15 + 229466*c_0110_6^14 - 376269*c_0110_6^13 - 191799*c_0110_6^12 + 264382*c_0110_6^11 + 116447*c_0110_6^10 - 136978*c_0110_6^9 - 50637*c_0110_6^8 + 51131*c_0110_6^7 + 15329*c_0110_6^6 - 13137*c_0110_6^5 - 3060*c_0110_6^4 + 2111*c_0110_6^3 + 361*c_0110_6^2 - 162*c_0110_6 - 19, c_0101_1 - 694*c_0110_6^29 - 822*c_0110_6^28 + 15721*c_0110_6^27 + 17390*c_0110_6^26 - 150198*c_0110_6^25 - 155053*c_0110_6^24 + 807217*c_0110_6^23 + 780570*c_0110_6^22 - 2763381*c_0110_6^21 - 2516590*c_0110_6^20 + 6476868*c_0110_6^19 + 5564980*c_0110_6^18 - 10850685*c_0110_6^17 - 8764328*c_0110_6^16 + 13305817*c_0110_6^15 + 10016678*c_0110_6^14 - 12062196*c_0110_6^13 - 8350341*c_0110_6^12 + 8074157*c_0110_6^11 + 5056942*c_0110_6^10 - 3940554*c_0110_6^9 - 2194411*c_0110_6^8 + 1363323*c_0110_6^7 + 663354*c_0110_6^6 - 316681*c_0110_6^5 - 132342*c_0110_6^4 + 44226*c_0110_6^3 + 15618*c_0110_6^2 - 2796*c_0110_6 - 823, c_0101_5 + 18*c_0110_6^29 + 35*c_0110_6^28 - 396*c_0110_6^27 - 767*c_0110_6^26 + 3653*c_0110_6^25 + 7112*c_0110_6^24 - 18829*c_0110_6^23 - 37327*c_0110_6^22 + 61337*c_0110_6^21 + 125699*c_0110_6^20 - 135485*c_0110_6^19 - 291418*c_0110_6^18 + 211341*c_0110_6^17 + 484589*c_0110_6^16 - 237829*c_0110_6^15 - 591183*c_0110_6^14 + 194582*c_0110_6^13 + 534296*c_0110_6^12 - 115576*c_0110_6^11 - 357844*c_0110_6^10 + 49269*c_0110_6^9 + 175991*c_0110_6^8 - 14681*c_0110_6^7 - 62158*c_0110_6^6 + 2901*c_0110_6^5 + 15067*c_0110_6^4 - 341*c_0110_6^3 - 2274*c_0110_6^2 + 18*c_0110_6 + 163, c_0110_6^30 + c_0110_6^29 - 23*c_0110_6^28 - 21*c_0110_6^27 + 224*c_0110_6^26 + 186*c_0110_6^25 - 1233*c_0110_6^24 - 932*c_0110_6^23 + 4346*c_0110_6^22 + 2999*c_0110_6^21 - 10549*c_0110_6^20 - 6635*c_0110_6^19 + 18427*c_0110_6^18 + 10473*c_0110_6^17 - 23759*c_0110_6^16 - 12010*c_0110_6^15 + 22891*c_0110_6^14 + 10051*c_0110_6^13 - 16518*c_0110_6^12 - 6110*c_0110_6^11 + 8867*c_0110_6^10 + 2660*c_0110_6^9 - 3481*c_0110_6^8 - 806*c_0110_6^7 + 968*c_0110_6^6 + 161*c_0110_6^5 - 180*c_0110_6^4 - 19*c_0110_6^3 + 20*c_0110_6^2 + c_0110_6 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.040 Total time: 0.230 seconds, Total memory usage: 32.09MB