{ "min_polys": [ "26417002447958383263744*x^10 + 3826272179962226147328000*x^9 + 75053369916331436191776768*x^8 - 3301032409945255477128462336*x^7 + 37203789706300323612598468608*x^6 - 194148184155080285971481886720*x^5 + 445066330602874101494526443520*x^4 + 3111320198290335006531391488*x^3 + 86027994989029092280185897984*x^2 + 35396845283557339673523576768*x + 3188022791904768886215299701", "10751113088023203*x^10 - 247157293970391210*x^9 + 1419410216265842979*x^8 - 30689398989990468*x^7 + 783830854536426270*x^6 + 728001706254818328*x^5 - 351165144975765770*x^4 - 82031658246459436*x^3 + 59615589470020607*x^2 - 5453687927090750*x - 179908993015625", "214535053568654112509649*x^10 - 288041883379839439292484*x^9 - 193372543015244817001380*x^8 + 152505045709952428912968*x^7 + 140156870031281008025460*x^6 + 34726125127953075465168*x^5 + 4545133609316033058652*x^4 + 660279048071484591120*x^3 + 55049696478971179416*x^2 - 1133770422348000000*x + 1831913085937500", "8868748*x^10 + 73696000*x^9 + 228566640*x^8 + 356165200*x^7 + 357673900*x^6 + 266973000*x^5 + 144952500*x^4 + 52140000*x^3 + 11902500*x^2 + 1743750*x + 140625", "370646890951135492944*x^10 - 227972362138137727488*x^9 + 184809115520063392320*x^8 + 34806724198543277280*x^7 + 2926393969046076720*x^6 + 222397739451851112*x^5 + 15052342217263936*x^4 + 643120392610800*x^3 + 14978318085000*x^2 + 173061562500*x + 791015625", "4965363680256*x^10 + 5004554720256*x^9 + 3154484010240*x^8 + 1489186114560*x^7 + 446348603520*x^6 + 80466673536*x^5 + 7645220896*x^4 - 215544640*x^3 - 117081100*x^2 - 1587500*x + 390625", "4848987969*x^10 + 52147659060*x^9 + 53324746200*x^8 - 430895998080*x^7 + 603254014560*x^6 - 259594380576*x^5 - 110508482720*x^4 + 106054179200*x^3 - 948370240*x^2 - 10213416320*x + 648458176", "2770850268*x^10 + 16141459680*x^9 + 46734615360*x^8 + 78019135200*x^7 + 77275098900*x^6 + 43135173000*x^5 + 11812472500*x^4 + 1059115000*x^3 - 96572500*x^2 - 12381250*x + 765625", "902923749729*x^10 - 3377806209900*x^9 + 5985873830853*x^8 - 5074542931638*x^7 + 1837993109580*x^6 + 162990528582*x^5 - 368514083420*x^4 + 95160704574*x^3 + 7198829631*x^2 - 6300863370*x + 696840975", "1409053654935939802184682866337024*x^10 - 103049257093738132901595212726784*x^9 + 2316098520529719265805617221120*x^8 - 341021607466542533200674443520*x^7 + 25389146766623071410810984960*x^6 + 313008302996417978438577696*x^5 - 37514205386024832624239456*x^4 - 219366552516112836497040*x^3 + 17582382392354984919600*x^2 + 198740087852343750000*x + 7724761962890625" ], "red_polys": [ "x^10 + 7*x^8 - 14*x^6 - 90*x^4 + 165*x^2 - 105", "x^10 + 7*x^8 - 14*x^6 - 90*x^4 + 165*x^2 - 105", "x^10 + 7*x^8 - 14*x^6 - 90*x^4 + 165*x^2 - 105", "x^10 + 7*x^8 - 14*x^6 - 90*x^4 + 165*x^2 - 105", "x^10 + 7*x^8 - 14*x^6 - 90*x^4 + 165*x^2 - 105", "x^10 + 7*x^8 - 14*x^6 - 90*x^4 + 165*x^2 - 105", "x^10 + 7*x^8 - 14*x^6 - 90*x^4 + 165*x^2 - 105", "x^10 + 7*x^8 - 14*x^6 - 90*x^4 + 165*x^2 - 105", "x^10 + 7*x^8 - 14*x^6 - 90*x^4 + 165*x^2 - 105", "x^10 + 7*x^8 - 14*x^6 - 90*x^4 + 165*x^2 - 105" ], "abs_red_polys": [ "x^10 - 3*x^8 - 4*x^7 - 8*x^6 + 10*x^4 + 2*x^3 + 21*x^2 + 12*x - 41", "x^10 - 3*x^8 - 4*x^7 - 8*x^6 + 10*x^4 + 2*x^3 + 21*x^2 + 12*x - 41", "x^10 - 3*x^8 - 4*x^7 - 8*x^6 + 10*x^4 + 2*x^3 + 21*x^2 + 12*x - 41", "x^10 - 3*x^8 - 4*x^7 - 8*x^6 + 10*x^4 + 2*x^3 + 21*x^2 + 12*x - 41", "x^10 - 3*x^8 - 4*x^7 - 8*x^6 + 10*x^4 + 2*x^3 + 21*x^2 + 12*x - 41", "x^10 - 3*x^8 - 4*x^7 - 8*x^6 + 10*x^4 + 2*x^3 + 21*x^2 + 12*x - 41", "x^10 - 3*x^8 - 4*x^7 - 8*x^6 + 10*x^4 + 2*x^3 + 21*x^2 + 12*x - 41", "x^10 - 3*x^8 - 4*x^7 - 8*x^6 + 10*x^4 + 2*x^3 + 21*x^2 + 12*x - 41", "x^10 - 3*x^8 - 4*x^7 - 8*x^6 + 10*x^4 + 2*x^3 + 21*x^2 + 12*x - 41", "x^10 - 3*x^8 - 4*x^7 - 8*x^6 + 10*x^4 + 2*x^3 + 21*x^2 + 12*x - 41" ], "num. fields": [ "Number Field in x with defining polynomial x^10 - 3*x^8 - 4*x^7 - 8*x^6 + 10*x^4 + 2*x^3 + 21*x^2 + 12*x - 41" ], "conj class num (F).": 1, "conj class num (G).": 1, "conj class num (Ga).": 1 }