Magma V2.19-8 Tue Aug 20 2013 16:14:15 on localhost [Seed = 3718005233] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s222 geometric_solution 4.37533177 oriented_manifold CS_known 0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 6 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 -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 0.607982664436 0.168709928754 2 0 2 0 0132 2310 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 1 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 0.864829287551 0.255071540432 1 3 1 4 0132 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 -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 1.196658550156 0.527278786263 4 2 5 4 3012 0132 0132 1230 0 0 0 0 0 0 0 0 -1 0 0 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 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 1.182818384533 0.779831714867 3 5 2 3 3012 3201 0132 1230 0 0 0 0 0 -1 0 1 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 -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 1.182818384533 0.779831714867 5 5 4 3 1302 2031 2310 0132 0 0 0 0 0 0 0 0 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 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.640462963502 0.611190121858 ==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_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' : 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' : d['c_0011_1'], 'c_1100_4' : d['c_0011_1'], 'c_1100_1' : negation(d['c_0011_1']), 'c_1100_0' : negation(d['c_0011_1']), 'c_1100_3' : d['c_0011_1'], 'c_1100_2' : d['c_0011_1'], 'c_0101_5' : negation(d['c_0011_5']), 'c_0101_4' : d['c_0101_1'], '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_1'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_1'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : negation(d['c_0101_3']), 'c_1001_4' : d['c_0011_5'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0011_5'], 'c_1001_2' : d['c_0101_1'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0011_1'], 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : d['c_0011_1'], 'c_1010_5' : d['c_0011_5'], 'c_1010_4' : d['c_0101_3'], 'c_1010_3' : d['c_0101_1'], 'c_1010_2' : d['c_0011_5'], '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 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_5, c_0101_0, c_0101_1, c_0101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t + 125274376089306/399180229777*c_0101_3^12 - 1168433223351580/399180229777*c_0101_3^11 + 4892491373977219/399180229777*c_0101_3^10 - 11627048539282702/399180229777*c_0101_3^9 + 1315989441534937/57025747111*c_0101_3^8 + 3318615003682803/399180229777*c_0101_3^7 - 12804157922986351/399180229777*c_0101_3^6 - 11716667149758631/399180229777*c_0101_3^5 - 31440685819800895/399180229777*c_0101_3^4 - 23069759247733110/399180229777*c_0101_3^3 - 1264489384272368/57025747111*c_0101_3^2 - 2664126992846605/399180229777*c_0101_3 - 370346254901230/399180229777, c_0011_0 - 1, c_0011_1 + 1486226657270/399180229777*c_0101_3^12 - 13716828609850/399180229777*c_0101_3^11 + 56641444376600/399180229777*c_0101_3^10 - 131808201176628/399180229777*c_0101_3^9 + 13397777429011/57025747111*c_0101_3^8 + 55202160096800/399180229777*c_0101_3^7 - 153430315795266/399180229777*c_0101_3^6 - 153108771141615/399180229777*c_0101_3^5 - 382089956315141/399180229777*c_0101_3^4 - 307289120067606/399180229777*c_0101_3^3 - 17237994766615/57025747111*c_0101_3^2 - 36863943182517/399180229777*c_0101_3 - 5958192075923/399180229777, c_0011_5 - 511351394583/399180229777*c_0101_3^12 + 4594994984390/399180229777*c_0101_3^11 - 18283496952753/399180229777*c_0101_3^10 + 40067188820930/399180229777*c_0101_3^9 - 2697111496336/57025747111*c_0101_3^8 - 32743702673215/399180229777*c_0101_3^7 + 53999572478730/399180229777*c_0101_3^6 + 65349057118757/399180229777*c_0101_3^5 + 138587468568239/399180229777*c_0101_3^4 + 134038051918450/399180229777*c_0101_3^3 + 7746904710484/57025747111*c_0101_3^2 + 16617563273565/399180229777*c_0101_3 + 3172864111636/399180229777, c_0101_0 + 2332538340992/399180229777*c_0101_3^12 - 21685106548904/399180229777*c_0101_3^11 + 90398718184911/399180229777*c_0101_3^10 - 213347736756128/399180229777*c_0101_3^9 + 23319693652520/57025747111*c_0101_3^8 + 71500208043563/399180229777*c_0101_3^7 - 241567402437749/399180229777*c_0101_3^6 - 224431095274513/399180229777*c_0101_3^5 - 587820293808463/399180229777*c_0101_3^4 - 445527414221448/399180229777*c_0101_3^3 - 24255765037424/57025747111*c_0101_3^2 - 51944763018979/399180229777*c_0101_3 - 8093674026758/399180229777, c_0101_1 + 1361124496336/399180229777*c_0101_3^12 - 12714954103492/399180229777*c_0101_3^11 + 53348928625361/399180229777*c_0101_3^10 - 127169817081581/399180229777*c_0101_3^9 + 14604187282241/57025747111*c_0101_3^8 + 33796288963142/399180229777*c_0101_3^7 - 138670954649064/399180229777*c_0101_3^6 - 125797814426148/399180229777*c_0101_3^5 - 339908322340364/399180229777*c_0101_3^4 - 246316226577109/399180229777*c_0101_3^3 - 13480279372167/57025747111*c_0101_3^2 - 28180124461180/399180229777*c_0101_3 - 3965021583928/399180229777, c_0101_3^13 - 9*c_0101_3^12 + 36*c_0101_3^11 - 80*c_0101_3^10 + 43*c_0101_3^9 + 51*c_0101_3^8 - 94*c_0101_3^7 - 127*c_0101_3^6 - 281*c_0101_3^5 - 266*c_0101_3^4 - 130*c_0101_3^3 - 44*c_0101_3^2 - 10*c_0101_3 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.000 Total time: 0.200 seconds, Total memory usage: 32.09MB