Magma V2.19-8 Tue Aug 20 2013 16:17:00 on localhost [Seed = 3120047466] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1260 geometric_solution 5.16095486 oriented_manifold CS_known 0.0000000000000001 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 -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 -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 0.319962550201 0.340471120826 2 0 3 0 0132 2310 0132 0132 0 0 0 0 0 0 0 0 -1 0 0 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 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 1.214313639468 1.219200872696 1 3 4 5 0132 3201 0132 0132 0 0 0 0 0 1 0 -1 1 0 0 -1 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 -0.311536822063 0.791060021809 5 4 2 1 3201 3201 2310 0132 0 0 0 0 0 0 0 0 1 0 -1 0 1 0 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 -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 -0.311536822063 0.791060021809 4 4 3 2 1302 2031 2310 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 0.266617559600 0.465544696327 6 6 2 3 0132 2310 0132 2310 0 0 0 0 0 0 1 -1 0 0 1 -1 1 0 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 -1 0 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.588479222527 2.510680451790 5 6 6 5 0132 3201 2310 3201 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 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 -0.487997926110 0.386841723789 ==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' : 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_5']), 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : d['c_0011_3'], 's_3_6' : 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_0011_4'], 'c_0101_5' : d['c_0101_1'], 'c_0101_4' : negation(d['c_0011_4']), 'c_0101_3' : negation(d['c_0011_4']), '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_4'], 'c_0011_6' : negation(d['c_0011_5']), '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' : negation(d['c_0011_4']), 'c_1001_4' : negation(d['c_0101_0']), 'c_1001_6' : negation(d['c_0011_4']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0011_4'], 'c_1001_2' : d['c_0011_4'], '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_0011_4'], 'c_0110_4' : d['c_0101_0'], 'c_0110_6' : d['c_0101_1'], 'c_1010_6' : d['c_0011_4'], 'c_1010_5' : negation(d['c_0101_1']), 'c_1010_4' : d['c_0011_4'], 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : negation(d['c_0011_4']), '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_4, c_0011_5, c_0101_0, c_0101_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t - 39218982976549716/9737881719628753*c_0101_1^13 - 110778695962297667/9737881719628753*c_0101_1^12 + 10037911783141897/9737881719628753*c_0101_1^11 + 726760193918787173/9737881719628753*c_0101_1^10 + 1187293371622776678/9737881719628753*c_0101_1^9 - 1113478497386786687/9737881719628753*c_0101_1^8 - 3526813714989184893/9737881719628753*c_0101_1^7 + 2056541910512877601/9737881719628753*c_0101_1^6 + 13043088969366047/15885614550781*c_0101_1^5 + 1999747993921743701/9737881719628753*c_0101_1^4 - 4239515161034559320/9737881719628753*c_0101_1^3 + 145003294331731613/9737881719628753*c_0101_1^2 + 1262766215944985783/9737881719628753*c_0101_1 + 64002828138259923/9737881719628753, c_0011_0 - 1, c_0011_1 + 154860234/2306608763*c_0101_1^13 + 585822063/2306608763*c_0101_1^12 + 383815999/2306608763*c_0101_1^11 - 2903851478/2306608763*c_0101_1^10 - 7459120216/2306608763*c_0101_1^9 - 149274451/2306608763*c_0101_1^8 + 18128467860/2306608763*c_0101_1^7 + 5463633839/2306608763*c_0101_1^6 - 39426762374/2306608763*c_0101_1^5 - 38669349526/2306608763*c_0101_1^4 + 9313676491/2306608763*c_0101_1^3 + 15791048526/2306608763*c_0101_1^2 - 5050444198/2306608763*c_0101_1 - 3639656834/2306608763, c_0011_3 - 5056928851238/100390533192049*c_0101_1^13 - 21075042545948/100390533192049*c_0101_1^12 - 15071226735060/100390533192049*c_0101_1^11 + 104291242762129/100390533192049*c_0101_1^10 + 279427691801654/100390533192049*c_0101_1^9 + 9852628303616/100390533192049*c_0101_1^8 - 743137156891484/100390533192049*c_0101_1^7 - 277819338768615/100390533192049*c_0101_1^6 + 2672539179922/163769222173*c_0101_1^5 + 1500792962253058/100390533192049*c_0101_1^4 - 776641007642482/100390533192049*c_0101_1^3 - 808010265966195/100390533192049*c_0101_1^2 + 336026022041565/100390533192049*c_0101_1 + 107986515203613/100390533192049, c_0011_4 + 4947567842453/100390533192049*c_0101_1^13 + 13741771152355/100390533192049*c_0101_1^12 - 4764595172569/100390533192049*c_0101_1^11 - 98971400068540/100390533192049*c_0101_1^10 - 144724425573588/100390533192049*c_0101_1^9 + 196046658262972/100390533192049*c_0101_1^8 + 513745359691043/100390533192049*c_0101_1^7 - 350764430219996/100390533192049*c_0101_1^6 - 1948500920539/163769222173*c_0101_1^5 - 54528309064777/100390533192049*c_0101_1^4 + 992148764401202/100390533192049*c_0101_1^3 + 60205068655596/100390533192049*c_0101_1^2 - 295286553458216/100390533192049*c_0101_1 + 122298838374287/100390533192049, c_0011_5 - 9099556861729/100390533192049*c_0101_1^13 - 32391079400285/100390533192049*c_0101_1^12 - 13613220406182/100390533192049*c_0101_1^11 + 177769029409385/100390533192049*c_0101_1^10 + 397398794754967/100390533192049*c_0101_1^9 - 108038256231082/100390533192049*c_0101_1^8 - 1083424250360598/100390533192049*c_0101_1^7 - 31253014331422/100390533192049*c_0101_1^6 + 3964639763657/163769222173*c_0101_1^5 + 1644307999101133/100390533192049*c_0101_1^4 - 1153175584509614/100390533192049*c_0101_1^3 - 776933272525925/100390533192049*c_0101_1^2 + 541685808560088/100390533192049*c_0101_1 + 100167866372660/100390533192049, c_0101_0 + 3061680001869/100390533192049*c_0101_1^13 + 10408547844823/100390533192049*c_0101_1^12 + 5475583895081/100390533192049*c_0101_1^11 - 54712051474330/100390533192049*c_0101_1^10 - 128226769490997/100390533192049*c_0101_1^9 + 11369254298528/100390533192049*c_0101_1^8 + 306868068446148/100390533192049*c_0101_1^7 + 56567029365616/100390533192049*c_0101_1^6 - 1056996524599/163769222173*c_0101_1^5 - 661745988380788/100390533192049*c_0101_1^4 + 95761585999681/100390533192049*c_0101_1^3 + 308595249630431/100390533192049*c_0101_1^2 - 56534855644597/100390533192049*c_0101_1 - 161544666278316/100390533192049, c_0101_1^14 + 4*c_0101_1^13 + 3*c_0101_1^12 - 19*c_0101_1^11 - 52*c_0101_1^10 - 6*c_0101_1^9 + 125*c_0101_1^8 + 51*c_0101_1^7 - 271*c_0101_1^6 - 286*c_0101_1^5 + 61*c_0101_1^4 + 124*c_0101_1^3 - 45*c_0101_1^2 - 38*c_0101_1 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB