Magma V2.19-8 Tue Aug 20 2013 16:18:20 on localhost [Seed = 2345277092] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2550 geometric_solution 5.85921399 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 2 2 3 0132 0132 3201 0132 0 0 0 0 0 -1 0 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 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 0.576808645204 0.481938107340 0 4 4 5 0132 0132 1230 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 -1 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 0.780648708911 1.064792392317 0 0 2 2 2310 0132 2031 1302 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.566304396473 1.158244925608 4 5 0 5 2031 3012 0132 2031 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 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 0.268976495934 0.669986691336 6 1 3 1 0132 0132 1302 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 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 0.739275139432 0.534247381805 3 3 1 6 1230 1302 0132 0213 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 1 -1 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 0.442136507661 0.219536397207 4 6 6 5 0132 3201 2310 0213 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.669256100625 0.422627997555 ==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' : negation(d['1']), 's_2_0' : d['1'], 's_2_1' : negation(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' : negation(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' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : negation(d['c_0011_0']), 'c_1100_5' : d['c_0101_6'], 'c_1100_4' : d['c_0101_1'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0101_6'], 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : d['c_0101_2'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0011_5']), 'c_0101_4' : negation(d['c_0011_3']), 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_5']), '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' : d['c_0110_3'], 'c_1001_4' : d['c_0110_3'], 'c_1001_6' : negation(d['c_0101_6']), 'c_1001_1' : negation(d['c_0101_1']), 'c_1001_0' : negation(d['c_0101_2']), 'c_1001_3' : negation(d['c_0011_5']), 'c_1001_2' : negation(d['c_0011_5']), 'c_0110_1' : negation(d['c_0011_5']), 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0110_3'], 'c_0110_2' : d['c_0011_5'], 'c_0110_5' : d['c_0011_3'], 'c_0110_4' : d['c_0101_6'], 'c_0110_6' : negation(d['c_0011_3']), 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : negation(d['c_0011_0']), 'c_1010_4' : negation(d['c_0101_1']), 'c_1010_3' : d['c_0011_5'], 'c_1010_2' : negation(d['c_0101_2']), 'c_1010_1' : d['c_0110_3'], 'c_1010_0' : negation(d['c_0011_5'])})} 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_1, c_0101_2, c_0101_6, c_0110_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 15 Groebner basis: [ t - 121505599689731/60211155175*c_0110_3^14 - 47388753418521/60211155175*c_0110_3^13 + 630010923992558/60211155175*c_0110_3^12 + 330617026323638/60211155175*c_0110_3^11 - 1274374781070772/60211155175*c_0110_3^10 - 1113516496781929/60211155175*c_0110_3^9 + 1189754771119772/60211155175*c_0110_3^8 + 1789660597874664/60211155175*c_0110_3^7 - 614331968129594/60211155175*c_0110_3^6 - 1160087563765022/60211155175*c_0110_3^5 + 285499557015526/60211155175*c_0110_3^4 + 163712881448001/60211155175*c_0110_3^3 - 14626400780937/12042231035*c_0110_3^2 + 2823546807824/60211155175*c_0110_3 + 5360182701002/60211155175, c_0011_0 - 1, c_0011_3 - 6343333522/134376827*c_0110_3^14 - 5242550849/268753654*c_0110_3^13 + 32673945912/134376827*c_0110_3^12 + 17882322388/134376827*c_0110_3^11 - 131188242881/268753654*c_0110_3^10 - 59069673499/134376827*c_0110_3^9 + 120505143227/268753654*c_0110_3^8 + 187388838981/268753654*c_0110_3^7 - 60319947569/268753654*c_0110_3^6 - 121116161447/268753654*c_0110_3^5 + 13663522003/134376827*c_0110_3^4 + 18001544785/268753654*c_0110_3^3 - 7051274623/268753654*c_0110_3^2 + 21550676/134376827*c_0110_3 + 884577025/268753654, c_0011_5 + 10468997307/268753654*c_0110_3^14 + 2708917231/268753654*c_0110_3^13 - 28177945321/134376827*c_0110_3^12 - 23946496971/268753654*c_0110_3^11 + 118900799861/268753654*c_0110_3^10 + 92971464163/268753654*c_0110_3^9 - 59685496870/134376827*c_0110_3^8 - 81078892031/134376827*c_0110_3^7 + 32419994076/134376827*c_0110_3^6 + 109647302827/268753654*c_0110_3^5 - 26279362313/268753654*c_0110_3^4 - 7890295982/134376827*c_0110_3^3 + 6916724107/268753654*c_0110_3^2 + 607359483/268753654*c_0110_3 - 572722019/268753654, c_0101_1 - 4114048127/268753654*c_0110_3^14 - 1549839027/134376827*c_0110_3^13 + 10739866327/134376827*c_0110_3^12 + 19987363479/268753654*c_0110_3^11 - 20873112424/134376827*c_0110_3^10 - 58164757139/268753654*c_0110_3^9 + 29053337605/268753654*c_0110_3^8 + 84691064403/268753654*c_0110_3^7 + 4278137369/268753654*c_0110_3^6 - 27329468034/134376827*c_0110_3^5 - 9383563619/268753654*c_0110_3^4 + 11061266065/268753654*c_0110_3^3 + 82842595/134376827*c_0110_3^2 - 1055601317/268753654*c_0110_3 + 121480679/134376827, c_0101_2 - 51723351105/134376827*c_0110_3^14 - 30008219337/268753654*c_0110_3^13 + 278364121017/134376827*c_0110_3^12 + 124556527169/134376827*c_0110_3^11 - 1175813013209/268753654*c_0110_3^10 - 469039532953/134376827*c_0110_3^9 + 1179000750479/268753654*c_0110_3^8 + 1622641757981/268753654*c_0110_3^7 - 640225076531/268753654*c_0110_3^6 - 1113995489525/268753654*c_0110_3^5 + 132152148511/134376827*c_0110_3^4 + 172777662101/268753654*c_0110_3^3 - 71418806997/268753654*c_0110_3^2 + 106640064/134376827*c_0110_3 + 5970912093/268753654, c_0101_6 - 2950392721/268753654*c_0110_3^14 - 1393497681/268753654*c_0110_3^13 + 7551523508/134376827*c_0110_3^12 + 9075842663/268753654*c_0110_3^11 - 29924273345/268753654*c_0110_3^10 - 28569331943/268753654*c_0110_3^9 + 13194117513/134376827*c_0110_3^8 + 21940213000/134376827*c_0110_3^7 - 6066922644/134376827*c_0110_3^6 - 27884872355/268753654*c_0110_3^5 + 5878932105/268753654*c_0110_3^4 + 2095182884/134376827*c_0110_3^3 - 1579679001/268753654*c_0110_3^2 - 958527/268753654*c_0110_3 - 26750823/268753654, c_0110_3^15 + 25/17*c_0110_3^14 - 83/17*c_0110_3^13 - 145/17*c_0110_3^12 + 135/17*c_0110_3^11 + 364/17*c_0110_3^10 - 2/17*c_0110_3^9 - 27*c_0110_3^8 - 199/17*c_0110_3^7 + 276/17*c_0110_3^6 + 154/17*c_0110_3^5 - 70/17*c_0110_3^4 - 18/17*c_0110_3^3 + 12/17*c_0110_3^2 - 1/17*c_0110_3 - 1/17 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB