Magma V2.19-8 Tue Aug 20 2013 16:17:22 on localhost [Seed = 644332266] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1600 geometric_solution 5.36457194 oriented_manifold CS_known 0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 7 1 1 0 0 0132 3201 2031 1302 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 0 0 0 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 0.507246730471 0.225974468953 0 2 0 3 0132 0132 2310 0132 0 0 0 0 0 0 0 0 -1 0 0 1 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 -1 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 1.121045579391 0.945280223439 4 1 5 3 0132 0132 0132 1230 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 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 1.167292024509 0.877566055454 2 5 1 4 3012 1023 0132 1023 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 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 1.167292024509 0.877566055454 2 4 4 3 0132 3201 2310 1023 0 0 0 0 0 1 0 -1 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 -0.010061170020 0.626562978484 3 6 6 2 1023 0132 1023 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 1 -1 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 0.807135313806 0.308144765219 6 5 5 6 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 -1 1 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.054351952959 0.372353631309 ==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' : 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_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_3']), 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : negation(d['c_0011_0']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : d['c_0101_0'], 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : d['c_0011_3'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0011_3'], 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_3'], 'c_0011_4' : negation(d['c_0011_0']), 'c_0011_6' : negation(d['c_0011_3']), '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_0'], 'c_1001_5' : d['c_0101_6'], 'c_1001_4' : negation(d['c_0011_3']), 'c_1001_6' : d['c_0101_5'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : d['c_0101_5'], 'c_1001_2' : d['c_0101_5'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_3'], 'c_0110_2' : d['c_0011_3'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0101_2'], 'c_0110_6' : negation(d['c_0101_6']), 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : d['c_0011_3'], 'c_1010_3' : d['c_0101_2'], 'c_1010_2' : d['c_0101_0'], 'c_1010_1' : d['c_0101_5'], '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_3, c_0101_0, c_0101_1, c_0101_2, c_0101_5, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t + 27893584611535117905/76011799072154804*c_0101_6^13 + 49287775987864621683/38005899536077402*c_0101_6^12 + 403436227118204892195/152023598144309608*c_0101_6^11 + 15686477449477155879/3707892637666088*c_0101_6^10 + 669594136275852415987/152023598144309608*c_0101_6^9 + 8230417454048304507/2621096519729476*c_0101_6^8 + 28773526239190480181/38005899536077402*c_0101_6^7 - 17783324165201372032/19002949768038701*c_0101_6^6 - 148048177663353754817/152023598144309608*c_0101_6^5 - 88737056109847886103/152023598144309608*c_0101_6^4 + 6873375153706184625/38005899536077402*c_0101_6^3 - 249115391170812061/19002949768038701*c_0101_6^2 - 149892416864789111/3707892637666088*c_0101_6 + 1896438715073630931/76011799072154804, c_0011_0 - 1, c_0011_3 - 29229048998613/52223839967128*c_0101_6^13 + 3172378705065/52223839967128*c_0101_6^12 + 560983805536113/104447679934256*c_0101_6^11 + 840663590663733/52223839967128*c_0101_6^10 + 860090813168835/26111919983564*c_0101_6^9 + 162817705120577/3601644135664*c_0101_6^8 + 1121549532033037/26111919983564*c_0101_6^7 + 662994575269197/26111919983564*c_0101_6^6 + 172464440781093/104447679934256*c_0101_6^5 - 211364162548313/26111919983564*c_0101_6^4 - 777290211809939/104447679934256*c_0101_6^3 - 43372404246573/52223839967128*c_0101_6^2 + 120465154537295/104447679934256*c_0101_6 - 62342042552407/104447679934256, c_0101_0 + 186104288068893/26111919983564*c_0101_6^13 + 184455710271234/6527979995891*c_0101_6^12 + 3388899964473639/52223839967128*c_0101_6^11 + 5915881140529673/52223839967128*c_0101_6^10 + 7269031379525225/52223839967128*c_0101_6^9 + 57329268369931/450205516958*c_0101_6^8 + 474867516460410/6527979995891*c_0101_6^7 + 78274735417971/6527979995891*c_0101_6^6 - 959415638627057/52223839967128*c_0101_6^5 - 1231658968067925/52223839967128*c_0101_6^4 - 199706099083193/26111919983564*c_0101_6^3 - 24910938339923/6527979995891*c_0101_6^2 - 48234582617283/52223839967128*c_0101_6 + 629061183881/13055959991782, c_0101_1 + 2623619911250889/52223839967128*c_0101_6^13 + 9425228378057505/52223839967128*c_0101_6^12 + 39106654925922099/104447679934256*c_0101_6^11 + 3944500967148349/6527979995891*c_0101_6^10 + 33783298801089159/52223839967128*c_0101_6^9 + 1741599471795497/3601644135664*c_0101_6^8 + 1003261884239121/6527979995891*c_0101_6^7 - 639113768649546/6527979995891*c_0101_6^6 - 13132186480513685/104447679934256*c_0101_6^5 - 4435818802829223/52223839967128*c_0101_6^4 + 1697192127922145/104447679934256*c_0101_6^3 - 270853602713531/52223839967128*c_0101_6^2 - 783906614381655/104447679934256*c_0101_6 + 319818973411749/104447679934256, c_0101_2 - 1146775234251051/52223839967128*c_0101_6^13 - 4207894891685127/52223839967128*c_0101_6^12 - 17623412599984497/104447679934256*c_0101_6^11 - 7129750562711277/26111919983564*c_0101_6^10 - 15347825321580489/52223839967128*c_0101_6^9 - 773490442935223/3601644135664*c_0101_6^8 - 1528276908220995/26111919983564*c_0101_6^7 + 1689035780749317/26111919983564*c_0101_6^6 + 8195771385740579/104447679934256*c_0101_6^5 + 2523590317395169/52223839967128*c_0101_6^4 - 688957409896183/104447679934256*c_0101_6^3 - 249923988091013/52223839967128*c_0101_6^2 + 108956008324489/104447679934256*c_0101_6 - 176147887944287/104447679934256, c_0101_5 - 118361278623159/52223839967128*c_0101_6^13 - 462749870102931/52223839967128*c_0101_6^12 - 2078938316124045/104447679934256*c_0101_6^11 - 863136833205679/26111919983564*c_0101_6^10 - 1926683062578027/52223839967128*c_0101_6^9 - 101276671147811/3601644135664*c_0101_6^8 - 84128144566327/13055959991782*c_0101_6^7 + 78446205989571/6527979995891*c_0101_6^6 + 1626832166454691/104447679934256*c_0101_6^5 + 528771253387419/52223839967128*c_0101_6^4 - 51634081378147/104447679934256*c_0101_6^3 - 81075948535707/52223839967128*c_0101_6^2 - 167199172704727/104447679934256*c_0101_6 - 37152755444695/104447679934256, c_0101_6^14 + 10/3*c_0101_6^13 + 13/2*c_0101_6^12 + 541/54*c_0101_6^11 + 259/27*c_0101_6^10 + 325/54*c_0101_6^9 + 5/18*c_0101_6^8 - 80/27*c_0101_6^7 - 37/18*c_0101_6^6 - 53/54*c_0101_6^5 + 5/6*c_0101_6^4 - 7/54*c_0101_6^3 - 7/54*c_0101_6^2 + 1/9*c_0101_6 - 1/54 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.220 seconds, Total memory usage: 32.09MB