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{'Nk2': 12480, 'analytic_conductor': 24.91332543063948, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [3, 1], [5, -1], [13, -1]], 'atkin_lehner_string': '-+--', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [3120, 1, [1951, 2341, 2081, 2497, 2641], [1, 1, 1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 1, 'field_disc': 1, 'field_disc_factorization': [], 'field_poly': [0, 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': [[7, [0, 1]], [11, [4, 1]], [17, [-2, 1]], [19, [-4, 1]], [31, [-8, 1]]], 'hecke_orbit': 11, 'hecke_orbit_code': 45035996307262512, 'hecke_ring_generator_nbound': 1, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '3120.2.a.k', 'level': 3120, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 13], 'level_radical': 390, 'minimal_twist': '195.2.a.a', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q-q^{3}+q^{5}+q^{9}-4q^{11}+q^{13}-q^{15}+\\cdots', 'related_objects': ['EllipticCurve/Q/3120/k'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '3120.2.a', 'trace_display': [0, -1, 1, 0], 'trace_hash': 1297241742677003982, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.984', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.967', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '4.949', 'prec': 17}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.015', 'prec': 17}, 'traces': [1, 0, -1, 0, 1, 0, 0, 0, 1, 0, -4, 0, 1, 0, -1, 0, 2, 0, 4, 0, 0, 0, -8, 0, 1, 0, -1, 0, -2, 0, 8, 0, 4, 0, 0, 0, 6, 0, -1, 0, -6, 0, 4, 0, 1, 0, 8, 0, -7, 0, -2, 0, 6, 0, -4, 0, -4, 0, 12, 0, -2, 0, 0, 0, 1, 0, 4, 0, 8, 0, 0, 0, -6, 0, -1, 0, 0, 0, -16, 0, 1, 0, 4, 0, 2, 0, 2, 0, 10, 0, 0, 0, -8, 0, 4, 0, 18, 0, -4, 0, 6, 0, 8, 0, 0, 0, -12, 0, -2, 0, -6, 0, 2, 0, -8, 0, 1, 0, 0, 0, 5, 0, 6, 0, 1, 0, 16, 0, -4, 0, 12, 0, 0, 0, -1, 0, -6, 0, 20, 0, -8, 0, -4, 0, -2, 0, 7, 0, -10, 0, 0, 0, 2, 0, 8, 0, -2, 0, -6, 0, 0, 0, 20, 0, 4, 0, -16, 0, 1, 0, 4, 0, -2, 0, 0, 0, -12, 0, 12, 0, 22, 0, 2, 0, 6, 0, -8, 0, 0, 0, -16, 0, -14, 0, -1, 0, 6, 0, 8, 0, -4, 0, 0, 0, -6, 0, -8, 0, -16, 0, -20, 0, 0, 0, 4, 0, 0, 0, 6, 0, 2, 0, 24, 0, 1, 0, -12, 0, 22, 0, 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'embedding_root_imag': 0.0, 'embedding_root_real': 0.0, 'hecke_orbit': 11, 'hecke_orbit_code': 45035996307262512, 'label': '3120.2.a.k.1.1', 'level': 3120, 'weight': 2}
-
mf_newspaces • Show schema
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'char_values': [3120, 1, [1951, 2341, 2081, 2497, 2641], [1, 1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 649, 'dim': 48, 'eis_dim': 47, 'eis_new_dim': 0, 'hecke_cutter_primes': [7, 11, 17, 19, 31], 'hecke_orbit_code': 33557552, 'hecke_orbit_dims': [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, 1, 1, 2, 2, 2, 2, 2, 2, 3, 3, 3], 'label': '3120.2.a', 'level': 3120, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 13], 'level_radical': 390, 'mf_dim': 696, 'mf_new_dim': 48, 'num_forms': 36, 'plus_dim': 18, 'prim_orbit_index': 1, 'relative_dim': 48, 'sturm_bound': 1344, 'trace_bound': 13, 'trace_display': [0, 0, 0, -8], 'traces': [48, 0, 0, 0, 0, 0, -8, 0, 48, 0, -16, 0, 0, 0, -4, 0, 0, 0, -8, 0, 0, 0, -16, 0, 48, 0, 0, 0, 32, 0, -8, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 48, 0, -8, 0, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 8, 0, 16, 0, 32, 0, 0, 0, 0, 0, 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mf_twists_cc • Show schema
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id: 47057263
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 45035996307262512, 'source_is_minimal': False, 'source_label': '3120.2.a.k.1.1', 'source_level': 3120, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 45035996307262512, 'target_is_minimal': False, 'target_label': '3120.2.a.k.1.1', 'target_level': 3120, 'twist_class_label': '195.2.a.a.1.1', 'twist_class_level': 195, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 47057264
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 45035996307262512, 'source_is_minimal': False, 'source_label': '3120.2.a.k.1.1', 'source_level': 3120, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 63050394816750736, 'target_is_minimal': False, 'target_label': '9360.2.a.o.1.1', 'target_level': 9360, 'twist_class_label': '195.2.a.a.1.1', 'twist_class_level': 195, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 47057265
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 45035996307262512, 'source_is_minimal': False, 'source_label': '3120.2.a.k.1.1', 'source_level': 3120, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 33554627, 'target_is_minimal': True, 'target_label': '195.2.a.a.1.1', 'target_level': 195, 'twist_class_label': '195.2.a.a.1.1', 'twist_class_level': 195, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 47057266
{'conductor': 12, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 45035996307262512, 'source_is_minimal': False, 'source_label': '3120.2.a.k.1.1', 'source_level': 3120, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 27021597797777993, 'target_is_minimal': False, 'target_label': '585.2.a.g.1.1', 'target_level': 585, 'twist_class_label': '195.2.a.a.1.1', 'twist_class_level': 195, 'twisting_char_label': '12.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 47057267
{'conductor': 20, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 45035996307262512, 'source_is_minimal': False, 'source_label': '3120.2.a.k.1.1', 'source_level': 3120, 'target_conrey_index': 274, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 18014535981990863, 'target_is_minimal': False, 'target_label': '975.2.c.e.274.2', 'target_level': 975, 'twist_class_label': '195.2.a.a.1.1', 'twist_class_level': 195, 'twisting_char_label': '20.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 47057268
{'conductor': 20, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 45035996307262512, 'source_is_minimal': False, 'source_label': '3120.2.a.k.1.1', 'source_level': 3120, 'target_conrey_index': 274, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18014535981990863, 'target_is_minimal': False, 'target_label': '975.2.c.e.274.1', 'target_level': 975, 'twist_class_label': '195.2.a.a.1.1', 'twist_class_level': 195, 'twisting_char_label': '20.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 47057269
{'conductor': 20, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 45035996307262512, 'source_is_minimal': False, 'source_label': '3120.2.a.k.1.1', 'source_level': 3120, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 36028797052519375, 'target_is_minimal': False, 'target_label': '975.2.a.i.1.1', 'target_level': 975, 'twist_class_label': '195.2.a.a.1.1', 'twist_class_level': 195, 'twisting_char_label': '20.19', 'twisting_conrey_index': 19, 'weight': 2}
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id: 47057270
{'conductor': 28, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 45035996307262512, 'source_is_minimal': False, 'source_label': '3120.2.a.k.1.1', 'source_level': 3120, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503599660934483, 'target_is_minimal': False, 'target_label': '9555.2.a.b.1.1', 'target_level': 9555, 'twist_class_label': '195.2.a.a.1.1', 'twist_class_level': 195, 'twisting_char_label': '28.27', 'twisting_conrey_index': 27, 'weight': 2}
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id: 47057271
{'conductor': 52, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 45035996307262512, 'source_is_minimal': False, 'source_label': '3120.2.a.k.1.1', 'source_level': 3120, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 45035996307261927, 'target_is_minimal': False, 'target_label': '2535.2.a.k.1.1', 'target_level': 2535, 'twist_class_label': '195.2.a.a.1.1', 'twist_class_level': 195, 'twisting_char_label': '52.51', 'twisting_conrey_index': 51, 'weight': 2}
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id: 47057272
{'conductor': 60, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 45035996307262512, 'source_is_minimal': False, 'source_label': '3120.2.a.k.1.1', 'source_level': 3120, 'target_conrey_index': 2224, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 22518135609363309, 'target_is_minimal': False, 'target_label': '2925.2.c.f.2224.1', 'target_level': 2925, 'twist_class_label': '195.2.a.a.1.1', 'twist_class_level': 195, 'twisting_char_label': '60.23', 'twisting_conrey_index': 23, 'weight': 2}
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id: 47057273
{'conductor': 60, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 45035996307262512, 'source_is_minimal': False, 'source_label': '3120.2.a.k.1.1', 'source_level': 3120, 'target_conrey_index': 2224, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 22518135609363309, 'target_is_minimal': False, 'target_label': '2925.2.c.f.2224.2', 'target_level': 2925, 'twist_class_label': '195.2.a.a.1.1', 'twist_class_level': 195, 'twisting_char_label': '60.47', 'twisting_conrey_index': 47, 'weight': 2}
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id: 47057274
{'conductor': 60, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 45035996307262512, 'source_is_minimal': False, 'source_label': '3120.2.a.k.1.1', 'source_level': 3120, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13510798915668845, 'target_is_minimal': False, 'target_label': '2925.2.a.d.1.1', 'target_level': 2925, 'twist_class_label': '195.2.a.a.1.1', 'twist_class_level': 195, 'twisting_char_label': '60.59', 'twisting_conrey_index': 59, 'weight': 2}
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id: 47057275
{'conductor': 156, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 45035996307262512, 'source_is_minimal': False, 'source_label': '3120.2.a.k.1.1', 'source_level': 3120, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 31525197425155509, 'target_is_minimal': False, 'target_label': '7605.2.a.h.1.1', 'target_level': 7605, 'twist_class_label': '195.2.a.a.1.1', 'twist_class_level': 195, 'twisting_char_label': '156.155', 'twisting_conrey_index': 155, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 3014275
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 45035996307262512, 'p': 2}
-
id: 3014276
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 45035996307262512, 'p': 3}
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id: 3014277
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 45035996307262512, 'p': 5}
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id: 3014278
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 45035996307262512, 'p': 7}
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id: 3014279
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 45035996307262512, 'p': 11}
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id: 3014280
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 45035996307262512, 'p': 13}
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id: 3014281
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 45035996307262512, 'p': 17}
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id: 3014282
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 45035996307262512, 'p': 19}
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id: 3014283
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 45035996307262512, 'p': 23}
-
id: 3014284
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 45035996307262512, 'p': 29}
-
id: 3014285
{'charpoly_factorization': [[[-8, 1], 1]], 'hecke_orbit_code': 45035996307262512, 'p': 31}
-
id: 3014286
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 45035996307262512, 'p': 37}
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id: 3014287
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 45035996307262512, 'p': 41}
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id: 3014288
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 45035996307262512, 'p': 43}
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id: 3014289
{'charpoly_factorization': [[[-8, 1], 1]], 'hecke_orbit_code': 45035996307262512, 'p': 47}
-
id: 3014290
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 45035996307262512, 'p': 53}
-
id: 3014291
{'charpoly_factorization': [[[-12, 1], 1]], 'hecke_orbit_code': 45035996307262512, 'p': 59}
-
id: 3014292
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 45035996307262512, 'p': 61}
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id: 3014293
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 45035996307262512, 'p': 67}
-
id: 3014294
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 45035996307262512, 'p': 71}
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id: 3014295
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 45035996307262512, 'p': 73}
-
id: 3014296
{'charpoly_factorization': [[[16, 1], 1]], 'hecke_orbit_code': 45035996307262512, 'p': 79}
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id: 3014297
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 45035996307262512, 'p': 83}
-
id: 3014298
{'charpoly_factorization': [[[-10, 1], 1]], 'hecke_orbit_code': 45035996307262512, 'p': 89}
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id: 3014299
{'charpoly_factorization': [[[-18, 1], 1]], 'hecke_orbit_code': 45035996307262512, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 11, 'label': '3120.2.a.k', 'level': 3120, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 210633000
{'hecke_orbit_code': 45035996307262512, 'n': 1, 'trace_an': 1}
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id: 210633001
{'hecke_orbit_code': 45035996307262512, 'n': 2, 'trace_an': 0}
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