Magma V2.19-8 Tue Aug 20 2013 16:18:57 on localhost [Seed = 3650634934] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3114 geometric_solution 6.26930150 oriented_manifold CS_known 0.0000000000000004 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 7 1 1 2 1 0132 1230 0132 2031 0 0 1 0 0 0 0 0 0 0 0 0 -1 0 0 1 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.142368462330 1.107501478723 0 0 0 3 0132 1302 3012 0132 0 0 0 1 0 0 1 -1 0 0 0 0 -1 0 0 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 0 0 0 0 1 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.885815503367 0.888255002537 4 3 5 0 0132 2310 0132 0132 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 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 0.522700839001 0.624206830550 4 5 1 2 1230 3012 0132 3201 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 0 0 0 0 0 0 0 1 0 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.773018381455 1.010945321662 2 3 6 6 0132 3012 0132 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.254520805777 0.534419521003 3 5 5 2 1230 3201 2310 0132 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.746428691346 0.807974817272 6 4 6 4 2031 2310 1302 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 1 0 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1.452759012002 1.716767475698 ==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' : 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_6']), 'c_1100_5' : d['c_0011_5'], 'c_1100_4' : negation(d['c_0011_6']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_2']), 'c_1100_0' : d['c_0011_5'], 'c_1100_3' : negation(d['c_0011_2']), 'c_1100_2' : d['c_0011_5'], 'c_0101_6' : negation(d['c_0011_6']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : d['c_0011_3'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_2']), 'c_0011_6' : d['c_0011_6'], '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' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0101_5']), 'c_1001_4' : negation(d['c_0011_3']), 'c_1001_6' : d['c_0101_0'], 'c_1001_1' : negation(d['c_0011_0']), 'c_1001_0' : d['c_0011_2'], 'c_1001_3' : negation(d['c_0011_5']), 'c_1001_2' : d['c_0101_5'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_0']), 'c_0110_3' : negation(d['c_0011_2']), 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0011_3'], 'c_0110_4' : d['c_0011_3'], 'c_0110_6' : d['c_0101_0'], 'c_1010_6' : negation(d['c_0011_3']), 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : negation(d['c_0101_0']), 'c_1010_3' : negation(d['c_0101_5']), 'c_1010_2' : d['c_0011_2'], 'c_1010_1' : negation(d['c_0011_5']), 'c_1010_0' : negation(d['c_0011_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_2, c_0011_3, c_0011_5, c_0011_6, c_0101_0, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t + 577225009983859915/5966993549731011*c_0101_5^12 + 1032584127952320891/1988997849910337*c_0101_5^11 - 1743223310972199269/23867974198924044*c_0101_5^10 - 4547355964217823251/1988997849910337*c_0101_5^9 + 86103403257769597075/23867974198924044*c_0101_5^8 + 124174389336162441533/23867974198924044*c_0101_5^7 - 130833202463846803684/5966993549731011*c_0101_5^6 + 19855104669850579351/11933987099462022*c_0101_5^5 + 939458679580549863451/23867974198924044*c_0101_5^4 - 243123992578675124975/11933987099462022*c_0101_5^3 - 26283609435027177077/5966993549731011*c_0101_5^2 + 3959130712552561562/1988997849910337*c_0101_5 + 7414900974095006017/23867974198924044, c_0011_0 - 1, c_0011_2 - 228607076964/5798827550759*c_0101_5^12 - 1685922614792/5798827550759*c_0101_5^11 - 2520932102239/5798827550759*c_0101_5^10 + 4407903239249/5798827550759*c_0101_5^9 + 3554358685297/11597655101518*c_0101_5^8 - 49102801127555/11597655101518*c_0101_5^7 + 42978910504013/11597655101518*c_0101_5^6 + 172266013198757/11597655101518*c_0101_5^5 - 60101496490643/5798827550759*c_0101_5^4 - 239192576997389/11597655101518*c_0101_5^3 + 36344610253157/5798827550759*c_0101_5^2 + 22842263027275/11597655101518*c_0101_5 - 6395875784609/11597655101518, c_0011_3 - 5278335024728/5798827550759*c_0101_5^12 - 28807438341826/5798827550759*c_0101_5^11 + 1391222857094/5798827550759*c_0101_5^10 + 249947510992839/11597655101518*c_0101_5^9 - 371974059093639/11597655101518*c_0101_5^8 - 604742846112323/11597655101518*c_0101_5^7 + 2343616855551181/11597655101518*c_0101_5^6 + 17915736427288/5798827550759*c_0101_5^5 - 4328801919753843/11597655101518*c_0101_5^4 + 929314091782636/5798827550759*c_0101_5^3 + 724730635602617/11597655101518*c_0101_5^2 - 250366064381615/11597655101518*c_0101_5 - 23717543787791/5798827550759, c_0011_5 - 228607076964/5798827550759*c_0101_5^12 - 1685922614792/5798827550759*c_0101_5^11 - 2520932102239/5798827550759*c_0101_5^10 + 4407903239249/5798827550759*c_0101_5^9 + 3554358685297/11597655101518*c_0101_5^8 - 49102801127555/11597655101518*c_0101_5^7 + 42978910504013/11597655101518*c_0101_5^6 + 172266013198757/11597655101518*c_0101_5^5 - 60101496490643/5798827550759*c_0101_5^4 - 239192576997389/11597655101518*c_0101_5^3 + 36344610253157/5798827550759*c_0101_5^2 + 22842263027275/11597655101518*c_0101_5 + 5201779316909/11597655101518, c_0011_6 - 35744440974864/5798827550759*c_0101_5^12 - 192464194421510/5798827550759*c_0101_5^11 + 23414524553498/5798827550759*c_0101_5^10 + 1688911352782577/11597655101518*c_0101_5^9 - 1317835025038846/5798827550759*c_0101_5^8 - 1942878286916062/5798827550759*c_0101_5^7 + 8062627314597746/5798827550759*c_0101_5^6 - 953374557024393/11597655101518*c_0101_5^5 - 29052335911925103/11597655101518*c_0101_5^4 + 14538341232630985/11597655101518*c_0101_5^3 + 3428161034138045/11597655101518*c_0101_5^2 - 699702233242439/5798827550759*c_0101_5 - 246818941276373/11597655101518, c_0101_0 - 1, c_0101_5^13 + 5*c_0101_5^12 - 11/4*c_0101_5^11 - 47/2*c_0101_5^10 + 46*c_0101_5^9 + 163/4*c_0101_5^8 - 495/2*c_0101_5^7 + 99*c_0101_5^6 + 407*c_0101_5^5 - 1445/4*c_0101_5^4 + 83/4*c_0101_5^3 + 179/4*c_0101_5^2 - 17/4*c_0101_5 - 7/4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.220 seconds, Total memory usage: 32.09MB