Magma V2.19-8 Tue Aug 20 2013 16:16:09 on localhost [Seed = 2480017235] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0412 geometric_solution 4.47405218 oriented_manifold CS_known -0.0000000000000005 1 0 torus 0.000000000000 0.000000000000 7 1 2 1 2 0132 0132 1023 2310 0 0 0 0 0 0 -1 1 1 0 -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 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 0.915790765716 0.068694902925 0 3 0 3 0132 0132 1023 1023 0 0 0 0 0 0 1 -1 -1 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 -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 0.896885269844 0.142190378724 0 0 2 2 3201 0132 1230 3012 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.729230435376 0.080055205715 4 1 5 1 0132 0132 0132 1023 0 0 0 0 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 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 0.981457921624 0.343757348125 3 5 5 6 0132 0213 3012 0132 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 -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 0.851853223323 0.775874454728 6 4 4 3 1023 1230 0213 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 1 0 -1 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 0.851853223323 0.775874454728 6 5 4 6 3012 1023 0132 1230 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.758299983979 1.143113732750 ==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_0011_5'], 'c_1100_5' : negation(d['c_0011_0']), 'c_1100_4' : d['c_0011_5'], 's_3_6' : d['1'], '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_0110_2'], 'c_0101_6' : d['c_0101_3'], 'c_0101_5' : negation(d['c_0011_0']), 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0101_1']), '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_0']), 'c_0011_6' : d['c_0011_5'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_0'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0011_5']), 'c_1001_4' : negation(d['c_0011_5']), 'c_1001_6' : negation(d['c_0011_0']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : d['c_0101_4'], 'c_1001_2' : negation(d['c_0110_2']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_4'], 'c_0110_2' : d['c_0110_2'], 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : d['c_0101_3'], 'c_0110_6' : d['c_0011_5'], 'c_1010_6' : d['c_0101_3'], 'c_1010_5' : d['c_0101_4'], 'c_1010_4' : negation(d['c_0011_0']), 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : d['c_0101_4'], 'c_1010_0' : negation(d['c_0110_2'])})} 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_5, c_0101_0, c_0101_1, c_0101_3, c_0101_4, c_0110_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 27 Groebner basis: [ t - 212332094/31*c_0110_2^26 - 494019735/31*c_0110_2^25 + 6421648872/31*c_0110_2^24 + 8894146130/31*c_0110_2^23 - 82048619773/31*c_0110_2^22 - 48921449089/31*c_0110_2^21 + 561613399927/31*c_0110_2^20 + 15763300533/31*c_0110_2^19 - 2266046897317/31*c_0110_2^18 + 29084861173*c_0110_2^17 + 5550286849688/31*c_0110_2^16 - 4232594517701/31*c_0110_2^15 - 8015082432404/31*c_0110_2^14 + 9461921596878/31*c_0110_2^13 + 5723328803755/31*c_0110_2^12 - 11846259205291/31*c_0110_2^11 + 277342763339/31*c_0110_2^10 + 8028877230757/31*c_0110_2^9 - 3678361979158/31*c_0110_2^8 - 2121689383612/31*c_0110_2^7 + 2376455179849/31*c_0110_2^6 - 444036457152/31*c_0110_2^5 - 376958700196/31*c_0110_2^4 + 266314785704/31*c_0110_2^3 - 76026678139/31*c_0110_2^2 + 10829521999/31*c_0110_2 - 634527638/31, c_0011_0 - 1, c_0011_5 - 2666060*c_0110_2^26 - 6474292*c_0110_2^25 + 79880875*c_0110_2^24 + 119554406*c_0110_2^23 - 1015399044*c_0110_2^22 - 712646696*c_0110_2^21 + 6946124989*c_0110_2^20 + 869580322*c_0110_2^19 - 28138780937*c_0110_2^18 + 8561706302*c_0110_2^17 + 69635259893*c_0110_2^16 - 46073252045*c_0110_2^15 - 102954211126*c_0110_2^14 + 107542715403*c_0110_2^13 + 79029666348*c_0110_2^12 - 138284112021*c_0110_2^11 - 7085335571*c_0110_2^10 + 96533907190*c_0110_2^9 - 37791187247*c_0110_2^8 - 27663683560*c_0110_2^7 + 26675500097*c_0110_2^6 - 3923206788*c_0110_2^5 - 4575996353*c_0110_2^4 + 2930521894*c_0110_2^3 - 795352486*c_0110_2^2 + 108638217*c_0110_2 - 6119071, c_0101_0 - c_0110_2^26 - 2*c_0110_2^25 + 31*c_0110_2^24 + 32*c_0110_2^23 - 400*c_0110_2^22 - 104*c_0110_2^21 + 2719*c_0110_2^20 - 791*c_0110_2^19 - 10688*c_0110_2^18 + 7736*c_0110_2^17 + 24718*c_0110_2^16 - 28472*c_0110_2^15 - 31148*c_0110_2^14 + 56861*c_0110_2^13 + 12258*c_0110_2^12 - 64503*c_0110_2^11 + 19660*c_0110_2^10 + 37251*c_0110_2^9 - 29727*c_0110_2^8 - 4227*c_0110_2^7 + 14442*c_0110_2^6 - 5787*c_0110_2^5 - 1071*c_0110_2^4 + 1836*c_0110_2^3 - 773*c_0110_2^2 + 171*c_0110_2 - 19, c_0101_1 - 344260*c_0110_2^26 - 905360*c_0110_2^25 + 10122179*c_0110_2^24 + 17448374*c_0110_2^23 - 127305349*c_0110_2^22 - 117102676*c_0110_2^21 + 869669035*c_0110_2^20 + 283409387*c_0110_2^19 - 3551352812*c_0110_2^18 + 402651121*c_0110_2^17 + 8970118120*c_0110_2^16 - 4147374757*c_0110_2^15 - 13865985153*c_0110_2^14 + 11014452975*c_0110_2^13 + 12002628941*c_0110_2^12 - 15182818050*c_0110_2^11 - 3579599908*c_0110_2^10 + 11361711300*c_0110_2^9 - 2756790321*c_0110_2^8 - 3821105969*c_0110_2^7 + 2642057364*c_0110_2^6 - 90935723*c_0110_2^5 - 550036018*c_0110_2^4 + 273916097*c_0110_2^3 - 62566177*c_0110_2^2 + 7148168*c_0110_2 - 325433, c_0101_3 - 1098*c_0110_2^26 - 2348*c_0110_2^25 + 33718*c_0110_2^24 + 39815*c_0110_2^23 - 433842*c_0110_2^22 - 174449*c_0110_2^21 + 2963286*c_0110_2^20 - 457294*c_0110_2^19 - 11812256*c_0110_2^18 + 6859615*c_0110_2^17 + 28144437*c_0110_2^16 - 27392032*c_0110_2^15 - 38125024*c_0110_2^14 + 57268048*c_0110_2^13 + 21575316*c_0110_2^12 - 68082450*c_0110_2^11 + 12035213*c_0110_2^10 + 42870128*c_0110_2^9 - 26728037*c_0110_2^8 - 8544074*c_0110_2^7 + 14776431*c_0110_2^6 - 4256301*c_0110_2^5 - 1828737*c_0110_2^4 + 1774986*c_0110_2^3 - 592605*c_0110_2^2 + 97470*c_0110_2 - 6650, c_0101_4 + 2959376*c_0110_2^26 + 6973459*c_0110_2^25 - 89256936*c_0110_2^24 - 126514862*c_0110_2^23 + 1138708127*c_0110_2^22 + 713683832*c_0110_2^21 - 7792784776*c_0110_2^20 - 436967088*c_0110_2^19 + 31478164026*c_0110_2^18 - 11673861200*c_0110_2^17 - 77327148440*c_0110_2^16 + 56702593642*c_0110_2^15 + 112429900777*c_0110_2^14 - 128223908323*c_0110_2^13 - 82041296381*c_0110_2^12 + 161702783328*c_0110_2^11 - 491778931*c_0110_2^10 - 110488720572*c_0110_2^9 + 48575676248*c_0110_2^8 + 29877638646*c_0110_2^7 - 32102208056*c_0110_2^6 + 5664700774*c_0110_2^5 + 5200522849*c_0110_2^4 - 3579482558*c_0110_2^3 + 1009072484*c_0110_2^2 - 142306639*c_0110_2 + 8263184, c_0110_2^27 + 2*c_0110_2^26 - 31*c_0110_2^25 - 32*c_0110_2^24 + 400*c_0110_2^23 + 104*c_0110_2^22 - 2719*c_0110_2^21 + 791*c_0110_2^20 + 10688*c_0110_2^19 - 7736*c_0110_2^18 - 24718*c_0110_2^17 + 28472*c_0110_2^16 + 31148*c_0110_2^15 - 56861*c_0110_2^14 - 12258*c_0110_2^13 + 64503*c_0110_2^12 - 19660*c_0110_2^11 - 37251*c_0110_2^10 + 29727*c_0110_2^9 + 4227*c_0110_2^8 - 14442*c_0110_2^7 + 5787*c_0110_2^6 + 1071*c_0110_2^5 - 1836*c_0110_2^4 + 773*c_0110_2^3 - 170*c_0110_2^2 + 20*c_0110_2 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.040 Total time: 0.240 seconds, Total memory usage: 32.09MB