Magma V2.19-8 Tue Aug 20 2013 16:19:19 on localhost [Seed = 3137021877] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3424 geometric_solution 6.59531513 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1230 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.301633456917 0.243965422321 2 0 3 0 0132 2310 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.694182424452 1.377047146737 1 4 5 6 0132 0132 0132 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 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 0.412209539462 0.920874100888 6 5 4 1 3201 0132 3201 0132 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 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 0.412209539462 0.920874100888 3 2 6 6 2310 0132 1302 2031 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 1 -1 -1 0 1 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 0.487235497649 0.946800864335 5 3 5 2 2031 0132 1302 0132 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 1 -1 -1 1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.608985696373 0.789082841660 4 4 2 3 2031 1302 0132 2310 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 -1 0 1 0 -1 1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.436598677578 0.753427887759 ==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' : 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' : negation(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' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : d['1'], 's_0_6' : negation(d['1']), 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : negation(d['1']), 'c_1100_6' : d['c_0011_3'], 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : d['c_0101_1'], 's_3_6' : negation(d['1']), 'c_1100_1' : negation(d['c_0011_1']), 'c_1100_0' : negation(d['c_0011_1']), 'c_1100_3' : negation(d['c_0011_1']), 'c_1100_2' : d['c_0011_3'], 'c_0101_6' : d['c_0101_1'], 'c_0101_5' : d['c_0011_3'], 'c_0101_4' : negation(d['c_0011_6']), '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' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_1'], 'c_0011_6' : d['c_0011_6'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : d['c_0101_0'], 'c_1001_4' : negation(d['c_0101_3']), 'c_1001_6' : negation(d['c_0101_3']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0011_6'], 'c_1001_2' : d['c_0011_6'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : d['c_0101_0'], 'c_0110_4' : negation(d['c_0101_3']), 'c_0110_6' : negation(d['c_0101_3']), 'c_1010_6' : negation(d['c_0101_1']), 'c_1010_5' : d['c_0011_6'], 'c_1010_4' : d['c_0011_6'], 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : negation(d['c_0101_3']), 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : negation(d['c_0101_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_1, c_0011_3, c_0011_6, c_0101_0, c_0101_1, c_0101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 2 Groebner basis: [ t + 1/2, c_0011_0 - 1, c_0011_1 - 1, c_0011_3 - 1, c_0011_6 - 1, c_0101_0 + c_0101_3, c_0101_1 - 1, c_0101_3^2 - 2 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_3, c_0011_6, c_0101_0, c_0101_1, c_0101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 2 Groebner basis: [ t - 1/2, c_0011_0 - 1, c_0011_1 - 1, c_0011_3 + 1, c_0011_6 + 1, c_0101_0 - c_0101_3, c_0101_1 - 1, c_0101_3^2 - 2 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_3, c_0011_6, c_0101_0, c_0101_1, c_0101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 32 Groebner basis: [ t + 1390799705/10682569728*c_0101_0*c_0101_3^15 + 1730750905/10682569728*c_0101_0*c_0101_3^13 - 28935823373/10682569728*c_0101_0*c_0101_3^11 - 225696244645/10682569728*c_0101_0*c_0101_3^9 - 2841241621/83457576*c_0101_0*c_0101_3^7 + 4301293253/333830304*c_0101_0*c_0101_3^5 + 31514039783/55638384*c_0101_0*c_0101_3^3 - 12255275759/41728788*c_0101_0*c_0101_3, c_0011_0 - 1, c_0011_1 + 4021/46853376*c_0101_3^14 + 18053/46853376*c_0101_3^12 - 7969/46853376*c_0101_3^10 - 1035617/46853376*c_0101_3^8 - 564653/5856672*c_0101_3^6 - 507805/2928336*c_0101_3^4 + 104319/244028*c_0101_3^2 + 126083/183021, c_0011_3 + 1937/2928336*c_0101_0*c_0101_3^15 + 1687/2928336*c_0101_0*c_0101_3^13 - 166697/11713344*c_0101_0*c_0101_3^11 - 594437/5856672*c_0101_0*c_0101_3^9 - 1616597/11713344*c_0101_0*c_0101_3^7 + 110587/732084*c_0101_0*c_0101_3^5 + 1435927/488056*c_0101_0*c_0101_3^3 - 390923/183021*c_0101_0*c_0101_3, c_0011_6 - 80141/93706752*c_0101_0*c_0101_3^15 - 124033/93706752*c_0101_0*c_0101_3^13 + 1622813/93706752*c_0101_0*c_0101_3^11 + 13275037/93706752*c_0101_0*c_0101_3^9 + 6357809/23426688*c_0101_0*c_0101_3^7 + 255665/5856672*c_0101_0*c_0101_3^5 - 1725905/488056*c_0101_0*c_0101_3^3 + 152023/183021*c_0101_0*c_0101_3, c_0101_0^2 + 4021/46853376*c_0101_3^14 + 18053/46853376*c_0101_3^12 - 7969/46853376*c_0101_3^10 - 1035617/46853376*c_0101_3^8 - 564653/5856672*c_0101_3^6 - 507805/2928336*c_0101_3^4 + 104319/244028*c_0101_3^2 - 56938/183021, c_0101_1 + 1267/5856672*c_0101_3^14 + 4505/5856672*c_0101_3^12 - 42755/11713344*c_0101_3^10 - 35197/732084*c_0101_3^8 - 1341629/11713344*c_0101_3^6 - 161425/1464168*c_0101_3^4 + 201623/244028*c_0101_3^2 + 44728/183021, c_0101_3^16 + c_0101_3^14 - 21*c_0101_3^12 - 157*c_0101_3^10 - 224*c_0101_3^8 + 144*c_0101_3^6 + 4288*c_0101_3^4 - 3328*c_0101_3^2 + 1024 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.040 Total time: 0.230 seconds, Total memory usage: 32.09MB