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nf_fields • Show schema
{'cm': True, 'coeffs': [1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610, 987, 1597, 2584, 4181, 6765, 10946, 17711, 28657, -17711, 10946, -6765, 4181, -2584, 1597, -987, 610, -377, 233, -144, 89, -55, 34, -21, 13, -8, 5, -3, 2, -1, 1], 'conductor': 115, 'degree': 44, 'dirichlet_group': [1, 4, 6, 9, 11, 14, 16, 19, 21, 24, 26, 29, 31, 34, 36, 39, 41, 44, 49, 51, 54, 56, 59, 61, 64, 66, 71, 74, 76, 79, 81, 84, 86, 89, 91, 94, 96, 99, 101, 104, 106, 109, 111, 114], 'disc_abs': 3714575655453538975253519356486345582985254755453847127268314361572265625, 'disc_rad': 115, 'disc_sign': 1, 'frobs': [[2, [[22, 2]]], [3, [[22, 2]]], [5, [0]], [7, [[22, 2]]], [11, [[22, 2]]], [13, [[22, 2]]], [17, [[22, 2]]], [19, [[22, 2]]], [23, [0]], [29, [[11, 4]]], [31, [[11, 4]]], [37, [[22, 2]]], [41, [[11, 4]]], [43, [[22, 2]]], [47, [[2, 22]]], [53, [[22, 2]]], [59, [[11, 4]]]], 'gal_is_abelian': True, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [22, 42], 'galois_label': '44T2', 'galt': 2, 'grd': 44.59807549620821, 'index': 1, 'inessentialp': [], 'is_galois': True, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '44.0.3714575655453538975253519356486345582985254755453847127268314361572265625.1', 'local_algs': ['m5.2.22.22', 'm23.22.2.42'], 'monogenic': 0, 'num_ram': 2, 'r2': 22, 'ramps': [5, 23], 'rd': 44.5980754962, 'res': {'ae': []}, 'subfield_mults': [1, 1, 1, 1, 1, 1, 1, 1], 'subfields': ['-1.-1.1', '6.-1.1', '29.-1.1', '49.0.9.0.1', '1.-6.-15.35.35.-56.-28.36.9.-10.-1.1', '-1.-6.81.50.-1100.-301.5656.1331.-14356.-3174.20269.4100.-16780.-2967.8247.1195.-2365.-254.379.26.-31.-1.1', '1.-1.1.-1.1.-1.1.-1.1.-1.1.-1.1.-1.1.-1.1.-1.1.-1.1.-1.1', '64079.-64056.64056.-63550.63550.-60261.60261.-50394.50394.-33949.33949.-17205.17205.-6257.6257.-1565.1565.-254.254.-24.24.-1.1'], 'torsion_gen': '\\( -\\frac{610}{28657} a^{38} - \\frac{39088169}{28657} a^{15} \\)', 'torsion_order': 46, 'used_grh': True, 'zk': ['1', 'a', 'a^2', 'a^3', 'a^4', 'a^5', 'a^6', 'a^7', 'a^8', 'a^9', 'a^10', 'a^11', 'a^12', 'a^13', 'a^14', 'a^15', 'a^16', 'a^17', 'a^18', 'a^19', 'a^20', 'a^21', 'a^22', '1/28657*a^23 - 10946/28657', '1/28657*a^24 - 10946/28657*a', '1/28657*a^25 - 10946/28657*a^2', '1/28657*a^26 - 10946/28657*a^3', '1/28657*a^27 - 10946/28657*a^4', '1/28657*a^28 - 10946/28657*a^5', '1/28657*a^29 - 10946/28657*a^6', '1/28657*a^30 - 10946/28657*a^7', '1/28657*a^31 - 10946/28657*a^8', '1/28657*a^32 - 10946/28657*a^9', '1/28657*a^33 - 10946/28657*a^10', '1/28657*a^34 - 10946/28657*a^11', '1/28657*a^35 - 10946/28657*a^12', '1/28657*a^36 - 10946/28657*a^13', '1/28657*a^37 - 10946/28657*a^14', '1/28657*a^38 - 10946/28657*a^15', '1/28657*a^39 - 10946/28657*a^16', '1/28657*a^40 - 10946/28657*a^17', '1/28657*a^41 - 10946/28657*a^18', '1/28657*a^42 - 10946/28657*a^19', '1/28657*a^43 - 10946/28657*a^20']}
Number field data - 44.0.3714575655453538975253519356486345582985254755453847127268314361572265625.1