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Query: /api/mf_newforms/?_offset=0

Table mf_newforms

Galois orbits of newforms

Show schema

{'Nk2': 29624, 'analytic_conductor': 59.13720773696025, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [7, 1], [23, -1]], 'atkin_lehner_string': '-+-', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [7406, 1, [2117, 3179], [1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 3, 'field_disc': 1509, 'field_disc_factorization': [[3, 1], [503, 1]], 'field_poly': [4, -7, -1, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'fricke_eigenval': 1, 'has_non_self_twist': 0, 'hecke_cutters': [[3, [-4, -7, 1, 1]], [5, [9, -2, -4, 1]], [11, [-36, -15, 3, 1]]], 'hecke_orbit': 23, 'hecke_orbit_code': 99079191835712750, 'hecke_ring_generator_nbound': 3, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'id': 242123, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '7406.2.a.w', 'level': 7406, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 7, 23], 'level_radical': 322, 'minimal_twist': '7406.2.a.v', 'nf_label': '3.3.1509.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{2}-\\beta _{1}q^{3}+q^{4}+(1+\\beta _{1})q^{5}-\\beta _{1}q^{6}+\\cdots', 'related_objects': [], 'relative_dim': 3, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '7406.2.a', 'trace_display': [3, -1, 4, -3], 'trace_hash': 554850431618028526, 'trace_moments': [0, {'__RealLiteral__': 0, 'data': '2.962', 'prec': 14}, 0, {'__RealLiteral__': 0, 'data': '24.814', 'prec': 17}, 0, {'__RealLiteral__': 0, 'data': '308.221', 'prec': 20}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.010', 'prec': 7}, 'traces': [3, 3, -1, 3, 4, -1, -3, 3, 6, 4, -3, -1, 0, -3, -16, 3, -8, 6, -4, 4, 1, -3, 0, -1, 5, 0, -4, -3, -11, -16, 4, 3, 6, -8, -4, 6, -16, -4, -5, 4, -4, 1, -8, -3, 13, 0, -3, -1, 3, 5, -7, 0, -9, -4, -9, -3, 21, -11, -6, -16, -17, 4, -6, 3, 5, 6, -4, -8, 0, -4, 23, 6, -9, -16, -36, -4, 3, -5, -20, 4, 3, -4, 13, 1, -1, -8, -16, -3, -45, 13, 0, 0, -21, -3, -25, -1, 3, 3, -42, 5, -11, -7, 41, 0, 16, -9, 3, -4, -10, -9, 15, -3, 1, 21, 0, -11, 36, -6, 8, -16, 6, -17, -23, 4, 21, -6, -12, 3, -17, 5, -4, 6, 4, -4, -25, -8, 27, 0, -9, -4, 45, 23, -36, 6, 5, -9, -1, -16, 17, -36, 1, -4, -47, 3, 25, -5, -23, -20, 42, 4, 0, 3, 18, -4, 57, 13, -24, 1, -3, -1, -49, -8, -21, -16, -5, -3, 12, -45, 6, 13, -28, 0, -14, 0, -31, -21, 39, -3, 4, -25, 7, -1, 1, 3, -41, 3, -14, -42, -12, 5, 60, -11, 11, -7, 19, 41, 0, 0, 45, 16, 17, -9, -32, 3, 9, -4, -4, -10, 13, -9, -31, 15, -14, -3, 56, 1, -24, 21, -49, 0, -6, -11, 30, 36, -48, -6, 7, 8, -9, -16, 4, 6, -28, -17, 4, -23, -41, 4, 20, 21, 33, -6, 0, -12, 64, 3, -17, -17, 16, 5, 19, -4, -11, 6, -51, 4, 15, -4, 6, -25, -19, -8, 5, 27, -51, 0, -17, -9, 49, -4, 23, 45, 10, 23, 82, -36, 4, 6, 11, 5, -79, -9, -11, -1, -18, -16, 45, 17, 0, -36, 8, 1, 23, -4, -3, -47, -44, 3, -9, 25, -4, -5, -6, -23, -13, -20, -26, 42, -30, 4, 33, 0, 32, 3, 46, 18, 18, -4, 3, 57, 10, 13, -1, -24, -64, 1, -23, -3, -10, -1, -45, -49, -3, -8, 0, -21, 66, -16, 37, -5, -41, -3, 35, 12, 55, -45, 7, 6, 12, 13, 9, -28, -46, 0, -22, -14, -46, 0, -34, -31, 9, -21, -3, 39, -27, -3, 41, 4, 54, -25, -35, 7, 17, -1, 9, 1, 25, 3, 14, -41, 0, 3, 1, -14, -27, -42, -5, -12, -21, 5, 31, 60, 41, -11, 43, 11, -15, -7, -59, 19, -48, 41, 6, 0, -7, 0, 76, 45, -6, 16, -62, 17, -21, -9, -25, -32, 17, 3, 51, 9, -12, -4, 9, -4, -2, -10, 0, 13, -81, -9, 6, -31, 26, 15, -60, -14, 43, -3, 15, 56, 30, 1, -54, -24, -5, 21, 14, -49, 32, 0, -89, -6, 34, -11, -82, 30, -68, 36, 4, -48, 76, -6, -33, 7, -87, 8, 3, -9, -47, -16, 31, 4, 0, 6, 82, -28, 5, -17, -35, 4, -58, -23, 8, -41, -105, 4, -23, 20, -28, 21, -90, 33, -40, -6, -34, 0, -33, -12, -11, 64, 9, 3, 66, -17, 50, -17, 18, 16, -42, 5, 12, 19, -56, -4, 36, -11, -32, 6, 0, -51, -84, 4, -26, 15, -30, -4, 66, 6, -3, -25, 76, -19, 39, -8, -28, 5, 61, 27, 7, -51, -46, 0, 20, -17, 64, -9, 30, 49, 41, -4, -18, 23, -3, 45, 11, 10, -3, 23, 0, 82, 3, -36, -7, 4, 0, 6, 35, 11, -39, 5, -13, -79, -12, -9, 92, -11, 24, -1, -66, -18, 68, -16, 60, 45, 1, 17, -55, 0, -24, -36, -15, 8, -28, 1, 52, 23, 2, -4, 16, -3, -15, -47, -44, -44, 23, 3, 18, -9, -24, 25, 0, -4, 45, -5, 23, -6, -108, -23, 2, -13, 32, -20, 38, -26, 23, 42, 0, -30, 20, 4, 57, 33, 23, 0, -18, 32, 43, 3, 78, 46, 21, 18, -5, 18, -5, -4, -90, 3, 25, 57, -9, 10, 25, 13, 25, -1, 0, -24, 54, -64, -24, 1, -32, -23, -87, -3, 1, -10, -3, -1, -12, -45, -31, -49, 75, -3, 21, -8, 21, 0, 90, -21, 42, 66, -85, -16, 61, 37, 93, -5, 8, -41, 0, -3, 75, 35, 11, 12, 30, 55, -143, -45, 0, 7, -87, 6, 135, 12, 48, 13, -41, 9, 43, -28, 62, -46, 36, 0, -78, -22, 0, -14, -15, -46, -16, 0, 24, -34, 94, -31, 87, 9, -24, -21, -26, -3, 52, 39, -3, -27, 36, -3, -6, 41, 55, 4, 36, 54, 0, -25, 3, -35, 10, 7, -58, 17, -72, -1, 16, 9, -4, 1, 22, 25, 87, 3, -15, 14, 7, -41, 3, 0, -46, 3, -99, 1, -16, -14, -109, -27, -1, -42, 41, -5, 66, -12, 6, -21, -21, 5, -90, 31, 81, 60, 0, 41, 135, -11, -11, 43, -11, 11, 89, -15, 53, -7, -50, -59, -36, 19, -20, -48, 37, 41, 159, 6, -22, 0, 19, -7, -87, 0, -8, 76, 66, 45, -66, -6, -38, 16, 14, -62, 16, 17, 30, -21, -6, -9, 46, -25, 0, -32, -115, 17, -178, 3, -49, 51, 43, 9, 23, -12, -6, -4, 21, 9, 84, -4, 123, -2, -20, -10, -36, 0, -21, 13, 102, -81, -25, -9, 36, 6, 6, -31, 114, 26, -39, 15, 12, -60, 18, -14, 63, 43, -60, -3, 0, 15, 46, 56, -36, 30, 17, 1, -67, -54, -13, -24, 40, -5, 25, 21, -39, 14, 30, -49, 4, 32, -30, 0, 15, -89, -26, -6, -15, 34, 149, -11, -5, -82, -4, 30, 1, -68, 57, 36, 78, 4, 95, -48, -63, 76, 0, -6, 25, -33, -24, 7, -72, -87, 14, 8, -32, 3, 14, -9, 78, -47, -27, -16, -27, 31, 63, 4, 40, 0, 51, 6, -89, 82, 4, -28, 9, 5, -123, -17, 15, -35, 45, 4, -25, -58, 37, -23, -82, 8, -45, -41, 0, -105, -22, 4, -111, -23, 43, 20, 11, -28, 0, 21, 36, -90, 78, 33, 100, -40, 30, -6, -45, -34, 37, 0, -74, -33, -5, -12, -29, -11, 68, 64, -32, 9, 108, 3, 16, 66, -103, -17, 1, 50, -33, -17, -22, 18, 0, 16, 24, -42, 12, 5, 27, 12, -17, 19, 153, -56, 42, -4, 79, 36, 59, -11, -21, -32, -21, 6, -1, 0, 37, -51, -53, -84, 32, 4, -121, -26, 39, 15, -51, -30, 47, -4, 80, 66, 67, 6, -141, -3, 26, -25, 0, 76, -150, -19, -25, 39, 79, -8, 27, -28, -72, 5, 39, 61, 130, 27, -105, 7, 23, -51, 84, -46, 57, 0, -56, 20, 7, -17, 7, 64, -51, -9, -42, 30, -68, 49, 93, 41, -82, -4, 90, -18, -42, 23, 186, -3, 0, 45, -29, 11, -62, 10, -108, -3, -12, 23, -67, 0, -28, 82, -18, 3, -45, -36, -70, -7, 0, 4, -20, 0, 61, 6, -34, 35, -57, 11, 0, -39, -38, 5, -50, -13, -14, -79, -63, -12, -5, -9, 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101, 8, 0, -41, 7, 0, -60, -3, 140, 75, -85, 35, -35, 11, -36, 12, -5, 30, 84, 55, -11, -143, 39, -45, 230, 0, 14, 7, -33, -87, 30, 6, -65, 135, -19, 12, 20, 48, 8, 13, -99, -41, 15, 9, -73, 43, 123, -28, 0, 62, 34, -46, 138, 36, -52, 0, -63, -78, -148, -22, -55, 0, -45, -14, 14, -15, -57, -46, -31, -16, -172, 0, 127, 24, -102, -34, -17, 94, 124, -31, 14, 87, -62, 9, 153, -24, 9, -21, 51, -26, 32, -3, -69, 52, 0, 39, 68, -3, -143, -27, 130, 36, 54, -3, -9, -6, -6, 41, -104, 55, 78, 4, 120, 36, 16, 54, -29, 0, 4, -25, -63, 3, 29, -35, 52, 10, 101, 7, -69, -58, -8, 17, -13, -72, -59, -1, 15, 16, -22, 9, 0, -4, -77, 1, -281, 22, 31, 25, 79, 87, -153, 3, 66, -15, -5, 14, 9, 7, -40, -41, 14, 3, 45, 0, -101, -46, -23, 3, 97, -99, 21, 1, 15, -16, -56, -14, -19, -109, 20, -27, 89, -1, 4, -42, -40, 41, 0, -5, 24, 66, 64, -12, 90, 6, -108, -21, 110, -21, -16, 5, 116, -90, 49, 31, -39, 81, -49, 60, -16, 0, 126, 41, -30, 135, 121, -11, 6, -11, 48, 43, -39, -11, -30, 11, 144, 89, -76, -15, -169, 53, -30, -7, 0, -50, 73, -59, -10, -36, -69, 19, 63, -20, -30, -48, 48, 37, -38, 41, 112, 159, -21, 6, 64, -22, 121, 0, 52, 19, -7, -7, 15, -87, 160, 0, -46, -8, 81, 76, 81, 66, 24, 45, 9, -66, -144, -6, -67, -38, 0, 16, -43, 14, 114, -62, -60, 16, -4, 17, -33, 30, 60, -21, -58, -6, 16, -9, -111, 46, 44, -25, 28, 0, 103, -32, -153, -115, 63, 17, -13, -178, -60, 3, 53, -49, -4, 51, -52, 43, -53, 9, -52, 23, 78, -12, 0, -6, 12, -4, 41, 21, 209, 9, 42, 84, 39, -4, -122, 123, 45, -2, -131, -20, -20, -10, -5, -36, -37, 0, -114, -21, -181, 13, 56, 102, -128, -81, -33, -25, -65, -9, 129, 36, 9, 6, -2, 6, 169, -31, 123, 114, 0, 26, 19, -39, 61, 15, -133, 12, 9, -60, -21, 18, -69, -14, -64, 63, 20, 43, 7, -60, 99, -3, 75, 0, 153, 15, -51, 46, 17, 56, -33, -36, -14, 30, 159, 17, 78, 1, 84, -67, 126, -54, -16, -13, -91, -24, 0, 40, -99, -5, -127, 25, 128, 21, -107, -39, -19, 14, -90, 30, -32, -49, 108, 4, -130, 32, -78, -30, -137, 0, 11, 15, -40, -89, 28, -26, -4, -6, -47, -15, -84, 34, 17, 149, 51, -11, 203, -5, 60, -82, 53, -4, 0, 30, 79, 1, -14, -68, -15, 57, -71, 36, 122, 78, -96, 4, 40, 95, -45, -48, 156, -63, -6, 76, 103, 0, -11, -6, -58, 25, 38, -33, 9, -24, 121, 7, 19, -72, 122, -87, 114, 14, -30, 8, 46, -32, -8, 3, 0, 14, -5, -9, 33, 78, 37, -47, -29, -27, -28, -16, 38, -27, 108, 31, 51, 63, -69, 4, -33, 40, -1, 0, -136, 51, 126, 6, 52, -89, 17, 82, -58, 4, -64, -28, 19, 9, -114, 5, 22, -123, -75, -17, -49, 15, 0, -35, -117, 45, -67, 4, 108, -25, -16, -58, -82, 37, -23, -23, -120, -82, 94, 8, 89, -45, -137, -41, 113, 0, -24, -105, -10, -22, -154, 4, 82, -111, -42, -23, -67, 43, 141, 20, -90, 11, -82, -28, 12, 0, -139, 21, 0, 36, 15, -90, 80, 78, -182, 33, -4, 100, -86, -40, 66, 30, 128, -6, 44, -45, 60, -34, -51, 37, -11, 0, 62, -74, -61, -33, -29, -5, -49, -12, -27, -29, 15, -11, 79, 68, 33, 64, 11, -32, 96, 9, -35, 108, 0, 3, -62, 16, 11, 66, 120, -103, -162, -17, 13, 1, -86, 50, -31, -33, 46, -17, 18, -22, 72, 18, 126, 0, 33, 16, -98, 24, -1, -42, -84, 12, -45, 5, 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