Magma V2.19-8 Tue Aug 20 2013 16:14:35 on localhost [Seed = 3532869340] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s567 geometric_solution 5.01927009 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 6 0 0 1 2 1302 2031 0132 0132 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 1 -2 -1 0 1 0 -1 1 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.789755948464 0.870272733789 3 4 2 0 0132 0132 1230 0132 0 0 0 0 0 0 1 -1 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 1 -1 0 0 1 -1 1 -1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.092863631419 0.904923420014 4 3 0 1 2310 3201 0132 3012 0 0 0 0 0 -1 1 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 -1 2 -1 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 1.092863631419 0.904923420014 1 5 2 5 0132 0132 2310 1023 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.797415400845 0.567548042337 4 1 2 4 3201 0132 3201 2310 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 1 0 -1 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 0.147767222560 0.812553736272 5 3 5 3 2031 0132 1302 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.569190373561 0.155741542597 ==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' : negation(d['c_0011_1']), 'c_1100_4' : negation(d['c_0011_1']), 'c_1100_1' : negation(d['c_0101_4']), 'c_1100_0' : negation(d['c_0101_4']), 'c_1100_3' : d['c_0011_1'], 'c_1100_2' : negation(d['c_0101_4']), 'c_0101_5' : negation(d['c_0011_1']), 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0011_0']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_0']), 'c_0011_5' : d['c_0011_1'], 'c_0011_4' : negation(d['c_0011_1']), 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_1']), 'c_0011_2' : d['c_0011_1'], 'c_1001_5' : d['c_0110_5'], 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_1' : d['c_0101_4'], 'c_1001_0' : negation(d['c_0101_2']), 'c_1001_3' : d['c_0101_1'], 'c_1001_2' : d['c_0011_0'], 'c_0110_1' : negation(d['c_0011_0']), 'c_0110_0' : d['c_0101_2'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : negation(d['c_0101_4']), 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : negation(d['c_0101_4']), 'c_1010_5' : d['c_0101_1'], 'c_1010_4' : d['c_0101_4'], 'c_1010_3' : d['c_0110_5'], 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0101_2']), 'c_1010_0' : d['c_0011_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_0101_1, c_0101_2, c_0101_4, c_0110_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t - 155942848738/25485755*c_0110_5^15 - 105451143294/5097151*c_0110_5^14 + 3542467481082/25485755*c_0110_5^13 + 3380226302873/25485755*c_0110_5^12 - 15257659580517/25485755*c_0110_5^11 + 28624033457474/25485755*c_0110_5^10 - 13824703578459/25485755*c_0110_5^9 - 8373531002220/5097151*c_0110_5^8 + 71228037562192/25485755*c_0110_5^7 - 40011384967777/25485755*c_0110_5^6 - 15488832553589/25485755*c_0110_5^5 + 6350221068077/5097151*c_0110_5^4 - 2079408198610/5097151*c_0110_5^3 - 3437103925458/25485755*c_0110_5^2 + 2589857069829/25485755*c_0110_5 - 398918328339/25485755, c_0011_0 - 1, c_0011_1 + 56912621762/5097151*c_0110_5^15 + 197508367788/5097151*c_0110_5^14 - 1273009792847/5097151*c_0110_5^13 - 1338701563316/5097151*c_0110_5^12 + 5403266538832/5097151*c_0110_5^11 - 10035782645799/5097151*c_0110_5^10 + 4327573038253/5097151*c_0110_5^9 + 15354734104498/5097151*c_0110_5^8 - 24591905071849/5097151*c_0110_5^7 + 13015745276996/5097151*c_0110_5^6 + 6125979971707/5097151*c_0110_5^5 - 10835635971588/5097151*c_0110_5^4 + 3153900659032/5097151*c_0110_5^3 + 1257407238133/5097151*c_0110_5^2 - 831436187523/5097151*c_0110_5 + 120854692949/5097151, c_0101_1 + 63942071187/5097151*c_0110_5^15 + 221968332821/5097151*c_0110_5^14 - 1429994470141/5097151*c_0110_5^13 - 1505419237868/5097151*c_0110_5^12 + 6068629350446/5097151*c_0110_5^11 - 11269837957098/5097151*c_0110_5^10 + 4852540494839/5097151*c_0110_5^9 + 17252837083821/5097151*c_0110_5^8 - 27611134182144/5097151*c_0110_5^7 + 14601577005123/5097151*c_0110_5^6 + 6889765305289/5097151*c_0110_5^5 - 12164365057414/5097151*c_0110_5^4 + 3534393846985/5097151*c_0110_5^3 + 1413074649103/5097151*c_0110_5^2 - 932523898069/5097151*c_0110_5 + 135401356069/5097151, c_0101_2 - 2852311637/5097151*c_0110_5^15 - 10429696310/5097151*c_0110_5^14 + 61733947892/5097151*c_0110_5^13 + 78106197482/5097151*c_0110_5^12 - 253676529762/5097151*c_0110_5^11 + 459700055760/5097151*c_0110_5^10 - 141451803634/5097151*c_0110_5^9 - 778163586104/5097151*c_0110_5^8 + 1085380546792/5097151*c_0110_5^7 - 484580682016/5097151*c_0110_5^6 - 357700015646/5097151*c_0110_5^5 + 464264431695/5097151*c_0110_5^4 - 89924492505/5097151*c_0110_5^3 - 63672322684/5097151*c_0110_5^2 + 29566106212/5097151*c_0110_5 - 3391928010/5097151, c_0101_4 - 43440043960/5097151*c_0110_5^15 - 150320142744/5097151*c_0110_5^14 + 973364461091/5097151*c_0110_5^13 + 1012909529829/5097151*c_0110_5^12 - 4138525891967/5097151*c_0110_5^11 + 7694437013184/5097151*c_0110_5^10 - 3363557029467/5097151*c_0110_5^9 - 11715063085756/5097151*c_0110_5^8 + 18889223541657/5097151*c_0110_5^7 - 10066251812594/5097151*c_0110_5^6 - 4637635710803/5097151*c_0110_5^5 + 8334469528090/5097151*c_0110_5^4 - 2459758477028/5097151*c_0110_5^3 - 959928142946/5097151*c_0110_5^2 + 643923139561/5097151*c_0110_5 - 94261685684/5097151, c_0110_5^16 + 3*c_0110_5^15 - 24*c_0110_5^14 - 13*c_0110_5^13 + 106*c_0110_5^12 - 221*c_0110_5^11 + 159*c_0110_5^10 + 234*c_0110_5^9 - 559*c_0110_5^8 + 432*c_0110_5^7 - 241*c_0110_5^5 + 145*c_0110_5^4 - 4*c_0110_5^3 - 25*c_0110_5^2 + 9*c_0110_5 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB