Magma V2.19-8 Tue Aug 20 2013 16:14:22 on localhost [Seed = 964207898] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s354 geometric_solution 4.56356931 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 6 1 2 3 3 0132 0132 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 1 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 0.192420635764 0.613392108759 0 4 4 3 0132 0132 1023 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 0 0 0 1 0 0 -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 1.126418376118 0.884221046691 3 0 5 5 0132 0132 3201 0132 0 0 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 0 0 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 0 0 0 0 -0.286309589508 0.534667281583 2 1 0 0 0132 2310 2031 0132 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 0 -1 1 0 0 -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 0.192420635764 0.613392108759 4 1 1 4 3201 0132 1023 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.372769173554 0.247022600122 2 5 2 5 2310 1302 0132 2031 0 0 0 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 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 0.000718107381 1.869553234039 ==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' : negation(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_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_4' : negation(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_5' : negation(d['c_0011_5']), 'c_1100_4' : d['c_0011_0'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0101_3'], 'c_1100_3' : d['c_0101_3'], 'c_1100_2' : negation(d['c_0011_5']), 'c_0101_5' : d['c_0101_3'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_0'], '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_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_0101_0']), 'c_1001_4' : d['c_0101_1'], 'c_1001_1' : d['c_0101_4'], 'c_1001_0' : negation(d['c_0101_0']), 'c_1001_3' : negation(d['c_0101_1']), 'c_1001_2' : negation(d['c_0101_3']), '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_0101_3'], 'c_0110_5' : negation(d['c_0101_0']), 'c_0110_4' : negation(d['c_0101_4']), 'c_1010_5' : d['c_0011_5'], 'c_1010_4' : d['c_0101_4'], 'c_1010_3' : negation(d['c_0101_0']), 'c_1010_2' : negation(d['c_0101_0']), 'c_1010_1' : d['c_0101_1'], 'c_1010_0' : negation(d['c_0101_3'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 7 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 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 17 Groebner basis: [ t - 20880*c_0101_4^16 + 262589*c_0101_4^15 + 850761*c_0101_4^14 - 1343836*c_0101_4^13 - 4247773*c_0101_4^12 + 3673640*c_0101_4^11 + 9696483*c_0101_4^10 - 5773543*c_0101_4^9 - 11396791*c_0101_4^8 + 4914316*c_0101_4^7 + 7246954*c_0101_4^6 - 2223611*c_0101_4^5 - 2541810*c_0101_4^4 + 503820*c_0101_4^3 + 466222*c_0101_4^2 - 44935*c_0101_4 - 35113, c_0011_0 - 1, c_0011_5 + 196*c_0101_4^16 - 2262*c_0101_4^15 - 10655*c_0101_4^14 + 5865*c_0101_4^13 + 57089*c_0101_4^12 - 2248*c_0101_4^11 - 146492*c_0101_4^10 - 12230*c_0101_4^9 + 204274*c_0101_4^8 + 17490*c_0101_4^7 - 156407*c_0101_4^6 - 8066*c_0101_4^5 + 64847*c_0101_4^4 + 1317*c_0101_4^3 - 13621*c_0101_4^2 - 37*c_0101_4 + 1134, c_0101_0 + 17*c_0101_4^16 - 207*c_0101_4^15 - 779*c_0101_4^14 + 829*c_0101_4^13 + 3926*c_0101_4^12 - 1685*c_0101_4^11 - 9238*c_0101_4^10 + 1798*c_0101_4^9 + 11475*c_0101_4^8 - 761*c_0101_4^7 - 7826*c_0101_4^6 - 71*c_0101_4^5 + 2959*c_0101_4^4 + 146*c_0101_4^3 - 584*c_0101_4^2 - 30*c_0101_4 + 47, c_0101_1 - c_0101_4^16 + 12*c_0101_4^15 + 48*c_0101_4^14 - 41*c_0101_4^13 - 241*c_0101_4^12 + 59*c_0101_4^11 + 568*c_0101_4^10 - 9*c_0101_4^9 - 710*c_0101_4^8 - 80*c_0101_4^7 + 488*c_0101_4^6 + 95*c_0101_4^5 - 186*c_0101_4^4 - 47*c_0101_4^3 + 37*c_0101_4^2 + 10*c_0101_4 - 3, c_0101_3 + 2575*c_0101_4^16 - 32331*c_0101_4^15 - 105635*c_0101_4^14 + 164306*c_0101_4^13 + 529376*c_0101_4^12 - 446179*c_0101_4^11 - 1215144*c_0101_4^10 + 698505*c_0101_4^9 + 1441121*c_0101_4^8 - 594755*c_0101_4^7 - 927175*c_0101_4^6 + 270409*c_0101_4^5 + 329249*c_0101_4^4 - 61813*c_0101_4^3 - 61077*c_0101_4^2 + 5579*c_0101_4 + 4642, c_0101_4^17 - 12*c_0101_4^16 - 48*c_0101_4^15 + 41*c_0101_4^14 + 241*c_0101_4^13 - 59*c_0101_4^12 - 568*c_0101_4^11 + 9*c_0101_4^10 + 710*c_0101_4^9 + 80*c_0101_4^8 - 488*c_0101_4^7 - 95*c_0101_4^6 + 186*c_0101_4^5 + 47*c_0101_4^4 - 37*c_0101_4^3 - 11*c_0101_4^2 + 3*c_0101_4 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB