Magma V2.19-8 Tue Aug 20 2013 16:17:29 on localhost [Seed = 2328565329] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1710 geometric_solution 5.42004380 oriented_manifold CS_known 0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 2 0132 0132 0132 2310 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 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 0.760410888456 0.390299843178 0 4 3 5 0132 0132 3012 0132 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 0 0 0 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 0.559207545279 0.967503507308 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.526789262248 0.173359132447 5 1 4 0 3201 1230 0132 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 -1 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.559207545279 0.967503507308 6 1 6 3 0132 0132 2310 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.663310432775 2.020126173114 5 5 1 3 1230 3012 0132 2310 0 0 0 0 0 0 0 0 -1 0 1 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 0 0 0 -1 0 0 1 -1 1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.153069011116 1.397520061048 4 4 6 6 0132 3201 2031 1302 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.399845572786 0.176803427110 ==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' : negation(d['c_0011_5']), 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : negation(d['c_0011_0']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_3'], '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' : negation(d['c_0011_5']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0011_5']), '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' : d['c_0011_0'], 'c_0011_6' : negation(d['c_0011_0']), '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_0011_5']), 'c_1001_4' : negation(d['c_0011_5']), 'c_1001_6' : negation(d['c_0101_4']), 'c_1001_1' : negation(d['c_0011_3']), 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : negation(d['c_0011_3']), '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_0'], 'c_0110_2' : d['c_0110_2'], 'c_0110_5' : d['c_0011_5'], 'c_0110_4' : negation(d['c_0011_5']), 'c_0110_6' : d['c_0101_4'], 'c_1010_6' : d['c_0011_5'], 'c_1010_5' : negation(d['c_0101_0']), 'c_1010_4' : negation(d['c_0011_3']), 'c_1010_3' : d['c_0101_1'], 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : negation(d['c_0011_5']), '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_3, c_0011_5, c_0101_0, c_0101_1, c_0101_4, c_0110_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 26 Groebner basis: [ t + 269225881459/37143*c_0110_2^25 - 430211441294/37143*c_0110_2^24 - 8852320091771/12381*c_0110_2^23 - 122944391003173/37143*c_0110_2^22 - 77442227040020/37143*c_0110_2^21 + 612514474390162/37143*c_0110_2^20 + 104831413191382/4127*c_0110_2^19 - 1413435666842686/37143*c_0110_2^18 - 3061221649632955/37143*c_0110_2^17 + 2121451679044129/37143*c_0110_2^16 + 5569580524030876/37143*c_0110_2^15 - 2518739960851484/37143*c_0110_2^14 - 6589045164577771/37143*c_0110_2^13 + 2600796229221140/37143*c_0110_2^12 + 5294895222545180/37143*c_0110_2^11 - 2243816439687193/37143*c_0110_2^10 - 2864215078521658/37143*c_0110_2^9 + 162782672596197/4127*c_0110_2^8 + 969007844660093/37143*c_0110_2^7 - 658921816216624/37143*c_0110_2^6 - 51324941463199/12381*c_0110_2^5 + 20092237332235/4127*c_0110_2^4 - 11960428494404/37143*c_0110_2^3 - 21997879148728/37143*c_0110_2^2 + 7051375469440/37143*c_0110_2 - 223900782011/12381, c_0011_0 - 1, c_0011_3 + 2284411009/37143*c_0110_2^25 - 3640099678/37143*c_0110_2^24 - 225354118520/37143*c_0110_2^23 - 1044214404211/37143*c_0110_2^22 - 73545222242/4127*c_0110_2^21 + 5193918996095/37143*c_0110_2^20 + 8029235046901/37143*c_0110_2^19 - 11953876760290/37143*c_0110_2^18 - 26026769651081/37143*c_0110_2^17 + 5957600540993/12381*c_0110_2^16 + 47327838084542/37143*c_0110_2^15 - 21137292919780/37143*c_0110_2^14 - 18659162276047/12381*c_0110_2^13 + 21787175691874/37143*c_0110_2^12 + 44989094142736/37143*c_0110_2^11 - 18807953703413/37143*c_0110_2^10 - 24354788393891/37143*c_0110_2^9 + 12300046162028/37143*c_0110_2^8 + 8257827969257/37143*c_0110_2^7 - 5541849967085/37143*c_0110_2^6 - 1323953674660/37143*c_0110_2^5 + 169287683458/4127*c_0110_2^4 - 96201071447/37143*c_0110_2^3 - 61947270313/12381*c_0110_2^2 + 19691257634/12381*c_0110_2 - 5592696449/37143, c_0011_5 + 8912793050/37143*c_0110_2^25 - 4829846566/12381*c_0110_2^24 - 878887997876/37143*c_0110_2^23 - 4045588706729/37143*c_0110_2^22 - 2440111736021/37143*c_0110_2^21 + 6800864043521/12381*c_0110_2^20 + 30726312741703/37143*c_0110_2^19 - 47880664089227/37143*c_0110_2^18 - 11168868267058/4127*c_0110_2^17 + 73402523010217/37143*c_0110_2^16 + 61273107880325/12381*c_0110_2^15 - 29581880789551/12381*c_0110_2^14 - 218161279599106/37143*c_0110_2^13 + 30713344911746/12381*c_0110_2^12 + 58513010453812/12381*c_0110_2^11 - 26345664703189/12381*c_0110_2^10 - 31612396259332/12381*c_0110_2^9 + 51124782463859/37143*c_0110_2^8 + 31880189580676/37143*c_0110_2^7 - 7597029049028/12381*c_0110_2^6 - 4919177068768/37143*c_0110_2^5 + 689534956964/4127*c_0110_2^4 - 466192769779/37143*c_0110_2^3 - 747969905335/37143*c_0110_2^2 + 245026719952/37143*c_0110_2 - 23648020700/37143, c_0101_0 + c_0110_2^25 - 2*c_0110_2^24 - 98*c_0110_2^23 - 417*c_0110_2^22 - 104*c_0110_2^21 + 2391*c_0110_2^20 + 2590*c_0110_2^19 - 6660*c_0110_2^18 - 9262*c_0110_2^17 + 12453*c_0110_2^16 + 17526*c_0110_2^15 - 17674*c_0110_2^14 - 20724*c_0110_2^13 + 19500*c_0110_2^12 + 15796*c_0110_2^11 - 16241*c_0110_2^10 - 7298*c_0110_2^9 + 9719*c_0110_2^8 + 1417*c_0110_2^7 - 3895*c_0110_2^6 + 410*c_0110_2^5 + 902*c_0110_2^4 - 314*c_0110_2^3 - 64*c_0110_2^2 + 60*c_0110_2 - 12, c_0101_1 + 12203396411/37143*c_0110_2^25 - 19427498575/37143*c_0110_2^24 - 401285586637/12381*c_0110_2^23 - 5580023850629/37143*c_0110_2^22 - 3546241327054/37143*c_0110_2^21 + 27729872549696/37143*c_0110_2^20 + 4768867659896/4127*c_0110_2^19 - 63756030311786/37143*c_0110_2^18 - 139028836195865/37143*c_0110_2^17 + 95231255658110/37143*c_0110_2^16 + 252695023557203/37143*c_0110_2^15 - 112569130769614/37143*c_0110_2^14 - 298768809181628/37143*c_0110_2^13 + 116060066427247/37143*c_0110_2^12 + 240046240675282/37143*c_0110_2^11 - 100252217069927/37143*c_0110_2^10 - 129907328125748/37143*c_0110_2^9 + 7288741709164/4127*c_0110_2^8 + 44025773023132/37143*c_0110_2^7 - 29565749167118/37143*c_0110_2^6 - 2349372269627/12381*c_0110_2^5 + 903259314766/4127*c_0110_2^4 - 517599147091/37143*c_0110_2^3 - 991321131242/37143*c_0110_2^2 + 315758052164/37143*c_0110_2 - 9984020806/12381, c_0101_4 - 1861167800/12381*c_0110_2^25 + 9030313841/37143*c_0110_2^24 + 550644289661/37143*c_0110_2^23 + 846344989064/12381*c_0110_2^22 + 1551801981148/37143*c_0110_2^21 - 12758911877722/37143*c_0110_2^20 - 19346385867865/37143*c_0110_2^19 + 3310397697352/4127*c_0110_2^18 + 63138493078846/37143*c_0110_2^17 - 45388053519425/37143*c_0110_2^16 - 115292478497314/37143*c_0110_2^15 + 54577444905563/37143*c_0110_2^14 + 136712412742094/37143*c_0110_2^13 - 56564809885448/37143*c_0110_2^12 - 109972833811979/37143*c_0110_2^11 + 48596236500307/37143*c_0110_2^10 + 59447784468787/37143*c_0110_2^9 - 31519283768708/37143*c_0110_2^8 - 6676802135975/12381*c_0110_2^7 + 14088281929225/37143*c_0110_2^6 + 3123226109530/37143*c_0110_2^5 - 427272395159/4127*c_0110_2^4 + 92303341375/12381*c_0110_2^3 + 464925393377/37143*c_0110_2^2 - 151092068456/37143*c_0110_2 + 14506125278/37143, c_0110_2^26 - 2*c_0110_2^25 - 98*c_0110_2^24 - 417*c_0110_2^23 - 104*c_0110_2^22 + 2391*c_0110_2^21 + 2590*c_0110_2^20 - 6660*c_0110_2^19 - 9262*c_0110_2^18 + 12453*c_0110_2^17 + 17526*c_0110_2^16 - 17674*c_0110_2^15 - 20724*c_0110_2^14 + 19500*c_0110_2^13 + 15796*c_0110_2^12 - 16241*c_0110_2^11 - 7298*c_0110_2^10 + 9719*c_0110_2^9 + 1417*c_0110_2^8 - 3895*c_0110_2^7 + 410*c_0110_2^6 + 902*c_0110_2^5 - 314*c_0110_2^4 - 64*c_0110_2^3 + 59*c_0110_2^2 - 13*c_0110_2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB