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{'cm': False, 'coeffs': [-2, -4, 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], 'conductor': 0, 'degree': 38, 'dirichlet_group': [], 'disc_abs': 31900937949806586390320337463114855419174100233410480755209811568901372071903232, 'disc_rad': 1688821593237576892964778717104050279924085849972562534198, 'disc_sign': 1, 'frobs': [[2, [0]], [3, [0]], [5, [[21, 1], [12, 1], [2, 2], [1, 1]]], [7, [[19, 2]]], [11, [[35, 1], [2, 1], [1, 1]]], [13, [[13, 1], [9, 1], [8, 2]]], [17, [[13, 1], [12, 1], [9, 1], [3, 1], [1, 1]]], [19, [[36, 1], [1, 2]]], [23, [0]], [29, [[14, 1], [11, 1], [8, 1], [3, 1], [2, 1]]], [31, [[17, 1], [7, 2], [3, 1], [2, 1], [1, 2]]], [37, [[38, 1]]], [41, [[35, 1], [1, 3]]], [43, [[20, 1], [9, 2]]], [47, [[17, 1], [11, 1], [9, 1], [1, 1]]], [53, [[17, 1], [11, 1], [7, 1], [2, 1], [1, 1]]], [59, [[25, 1], [7, 1], [6, 1]]]], 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': False, 'galois_label': '38T76', 'galt': 76, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '38.2.31900937949806586390320337463114855419174100233410480755209811568901372071903232.1', 'local_algs': ['m2.38.1.75', '3.2.1.2', '3.2.0.1', '3.5.0.1', '3.7.0.1', '3.22.0.1', '23.1.0.1', '23.2.1.2', '23.2.0.1', '23.4.0.1', '23.7.0.1', '23.22.0.1', 'm277.2.1.1', 'm277.1.14.0', 'm277.1.22.0', 'm1513583473.1.1.0', 'm1513583473.1.2.0', 'm1513583473.1.2.0', 'm1513583473.2.1.1', 'm1513583473.1.3.0', 'm1513583473.1.7.0', 'm1513583473.1.21.0', 'm5473293451459721.1.1.0', 'm5473293451459721.1.2.0', 'm5473293451459721.2.1.1', 'm5473293451459721.1.13.0', 'm5473293451459721.1.20.0', 'm5332978185985420820488513531.2.1.1', 'm5332978185985420820488513531.1.3.0', 'm5332978185985420820488513531.1.3.0', 'm5332978185985420820488513531.1.13.0', 'm5332978185985420820488513531.1.17.0'], 'monogenic': 0, 'num_ram': 7, 'r2': 18, 'ramps': [2, 3, 23, 277, 1513583473, 5473293451459721, 5332978185985420820488513531], 'rd': 123.65319833, 'subfield_mults': [], 'subfields': [], 'torsion_gen': '\\( -1 \\)', 'torsion_order': 2, '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', 'a^23', 'a^24', 'a^25', 'a^26', 'a^27', 'a^28', 'a^29', 'a^30', 'a^31', 'a^32', 'a^33', 'a^34', 'a^35', 'a^36', '1/5*a^37 - 2/5*a^36 - 1/5*a^35 + 2/5*a^34 + 1/5*a^33 - 2/5*a^32 - 1/5*a^31 + 2/5*a^30 + 1/5*a^29 - 2/5*a^28 - 1/5*a^27 + 2/5*a^26 + 1/5*a^25 - 2/5*a^24 - 1/5*a^23 + 2/5*a^22 + 1/5*a^21 - 2/5*a^20 - 1/5*a^19 + 2/5*a^18 + 1/5*a^17 - 2/5*a^16 - 1/5*a^15 + 2/5*a^14 + 1/5*a^13 - 2/5*a^12 - 1/5*a^11 + 2/5*a^10 + 1/5*a^9 - 2/5*a^8 - 1/5*a^7 + 2/5*a^6 + 1/5*a^5 - 2/5*a^4 - 1/5*a^3 + 2/5*a^2 + 1/5*a - 1/5']}