Magma V2.19-8 Tue Aug 20 2013 16:18:36 on localhost [Seed = 1048552204] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2783 geometric_solution 6.02053908 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 0 2 0 0132 1302 0132 2031 0 0 0 0 0 0 1 -1 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 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 0 0 0 0.800828308157 0.710776605065 0 3 3 4 0132 0132 1230 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 0.769824834875 0.832037909299 5 3 4 0 0132 0213 0213 0132 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 0 -1 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 0.703531540733 0.418063101092 6 1 2 1 0132 0132 0213 3012 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.558301441497 0.201867404002 5 2 1 6 1230 0213 0132 1302 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.020960769630 0.721349853976 2 4 5 5 0132 3012 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.514196491836 0.543434873750 3 6 4 6 0132 2310 2031 3201 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 1 -1 0 0 0 1 -1 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.986926784138 0.669037927448 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : 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' : d['1'], 's_1_3' : negation(d['1']), 's_1_2' : d['1'], 's_1_1' : negation(d['1']), 's_1_0' : negation(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_0'], 'c_1100_5' : d['c_0011_4'], 'c_1100_4' : d['c_0101_6'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0101_6'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : d['c_0101_1'], 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0011_2'], 'c_0101_2' : d['c_0011_4'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_2']), 'c_0011_4' : d['c_0011_4'], '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_0'], 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0011_4']), 'c_1001_4' : d['c_1001_2'], 'c_1001_6' : d['c_0011_2'], 'c_1001_1' : negation(d['c_0101_1']), 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : d['c_1001_2'], 'c_1001_2' : d['c_1001_2'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_6'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0011_4'], 'c_0110_4' : negation(d['c_0011_2']), 'c_0110_6' : d['c_0011_2'], 'c_1010_6' : negation(d['c_0011_2']), 'c_1010_5' : negation(d['c_0101_0']), 'c_1010_4' : negation(d['c_0011_0']), 'c_1010_3' : negation(d['c_0101_1']), 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : d['c_1001_2'], 'c_1010_0' : 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_4, c_0101_0, c_0101_1, c_0101_6, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t - 3467011104/1127955829*c_1001_2^13 - 1323964888/1127955829*c_1001_2^12 + 15783240743/1127955829*c_1001_2^11 + 30145869797/1127955829*c_1001_2^10 - 60232520952/1127955829*c_1001_2^9 - 77445616254/1127955829*c_1001_2^8 + 648035191/12395119*c_1001_2^7 + 172458120453/1127955829*c_1001_2^6 - 93635572522/1127955829*c_1001_2^5 - 19297916472/161136547*c_1001_2^4 + 91520273542/1127955829*c_1001_2^3 + 9074722022/1127955829*c_1001_2^2 - 3711210378/1127955829*c_1001_2 - 7604414008/1127955829, c_0011_0 - 1, c_0011_2 + 486106/1331707*c_1001_2^13 + 202948/1331707*c_1001_2^12 - 2481533/1331707*c_1001_2^11 - 4575265/1331707*c_1001_2^10 + 9306475/1331707*c_1001_2^9 + 14201664/1331707*c_1001_2^8 - 803520/102439*c_1001_2^7 - 31731673/1331707*c_1001_2^6 + 10653120/1331707*c_1001_2^5 + 30911230/1331707*c_1001_2^4 - 10314753/1331707*c_1001_2^3 - 6837873/1331707*c_1001_2^2 + 1151814/1331707*c_1001_2 - 41151/1331707, c_0011_4 - 333902/1331707*c_1001_2^13 + 96000/1331707*c_1001_2^12 + 1656618/1331707*c_1001_2^11 + 1737638/1331707*c_1001_2^10 - 8135071/1331707*c_1001_2^9 - 3487233/1331707*c_1001_2^8 + 1018191/102439*c_1001_2^7 + 12623233/1331707*c_1001_2^6 - 24248728/1331707*c_1001_2^5 - 10433136/1331707*c_1001_2^4 + 23896386/1331707*c_1001_2^3 - 3224686/1331707*c_1001_2^2 - 4262870/1331707*c_1001_2 + 326657/1331707, c_0101_0 + 1290556/1331707*c_1001_2^13 + 486106/1331707*c_1001_2^12 - 6249832/1331707*c_1001_2^11 - 11515425/1331707*c_1001_2^10 + 23816967/1331707*c_1001_2^9 + 32536483/1331707*c_1001_2^8 - 1985044/102439*c_1001_2^7 - 72392448/1331707*c_1001_2^6 + 34086683/1331707*c_1001_2^5 + 63565916/1331707*c_1001_2^4 - 36197682/1331707*c_1001_2^3 - 7733641/1331707*c_1001_2^2 + 4735980/1331707*c_1001_2 + 1151814/1331707, c_0101_1 + 1051111/1331707*c_1001_2^13 + 845362/1331707*c_1001_2^12 - 4646740/1331707*c_1001_2^11 - 11054038/1331707*c_1001_2^10 + 14533323/1331707*c_1001_2^9 + 30809557/1331707*c_1001_2^8 - 729573/102439*c_1001_2^7 - 57783638/1331707*c_1001_2^6 + 9652899/1331707*c_1001_2^5 + 51460282/1331707*c_1001_2^4 - 18904007/1331707*c_1001_2^3 - 11557290/1331707*c_1001_2^2 + 5526141/1331707*c_1001_2 + 1502311/1331707, c_0101_6 - 1988417/1331707*c_1001_2^13 - 1254059/1331707*c_1001_2^12 + 9147726/1331707*c_1001_2^11 + 19738182/1331707*c_1001_2^10 - 31303279/1331707*c_1001_2^9 - 55776585/1331707*c_1001_2^8 + 2015988/102439*c_1001_2^7 + 113327050/1331707*c_1001_2^6 - 29487343/1331707*c_1001_2^5 - 102158880/1331707*c_1001_2^4 + 36974643/1331707*c_1001_2^3 + 22737258/1331707*c_1001_2^2 - 4617634/1331707*c_1001_2 - 4153283/1331707, c_1001_2^14 - 5*c_1001_2^12 - 7*c_1001_2^11 + 22*c_1001_2^10 + 18*c_1001_2^9 - 31*c_1001_2^8 - 48*c_1001_2^7 + 51*c_1001_2^6 + 41*c_1001_2^5 - 52*c_1001_2^4 + 2*c_1001_2^3 + 10*c_1001_2^2 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB