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{'Nk2': 11040, 'analytic_conductor': 22.038710957873388, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [3, 1], [5, 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': [2760, 1, [2071, 1381, 1841, 1657, 1201], [1, 1, 1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 4, 'field_disc': 54764, 'field_disc_factorization': [[2, 2], [13691, 1]], 'field_poly': [2, 3, -9, -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': [[7, [8, -6, -19, 0, 1]], [11, [80, 12, -22, 0, 1]]], 'hecke_orbit': 22, 'hecke_orbit_code': 94575592208337608, 'hecke_ring_generator_nbound': 11, 'hecke_ring_index': 2, 'hecke_ring_index_factorization': [[2, 1]], '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': True, 'label': '2760.2.a.v', 'level': 2760, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 23], 'level_radical': 690, 'minimal_twist': '2760.2.a.v', 'nf_label': '4.4.54764.1', 'prim_orbit_index': 1, 'qexp_display': 'q-q^{3}-q^{5}-\\beta _{1}q^{7}+q^{9}-\\beta _{3}q^{11}+\\cdots', 'related_objects': [], 'relative_dim': 4, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '2760.2.a', 'trace_display': [0, -4, -4, 0], 'trace_hash': 1043808823297727120, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.934', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '42.301', 'prec': 20}, {'__RealLiteral__': 0, 'data': '4.627', 'prec': 17}, {'__RealLiteral__': 0, 'data': '689.300', 'prec': 24}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.013', 'prec': 17}, 'traces': [4, 0, -4, 0, -4, 0, 0, 0, 4, 0, 0, 0, -2, 0, 4, 0, 2, 0, -6, 0, 0, 0, 4, 0, 4, 0, -4, 0, 4, 0, -6, 0, 0, 0, 0, 0, -4, 0, 2, 0, 8, 0, -20, 0, -4, 0, 6, 0, 10, 0, -2, 0, -4, 0, 0, 0, 6, 0, -4, 0, -4, 0, 0, 0, 2, 0, -26, 0, -4, 0, 0, 0, -18, 0, -4, 0, 6, 0, -18, 0, 4, 0, -26, 0, -2, 0, -4, 0, 14, 0, -38, 0, 6, 0, 6, 0, -12, 0, 0, 0, 12, 0, -38, 0, 0, 0, -6, 0, 8, 0, 4, 0, -30, 0, -4, 0, -2, 0, -12, 0, 0, 0, -8, 0, -4, 0, -26, 0, 20, 0, -16, 0, -38, 0, 4, 0, 2, 0, -30, 0, -6, 0, -24, 0, -4, 0, -10, 0, -10, 0, -20, 0, 2, 0, 6, 0, -12, 0, 4, 0, 0, 0, -60, 0, 0, 0, -6, 0, 28, 0, -6, 0, -40, 0, 0, 0, 4, 0, -8, 0, 2, 0, 4, 0, 4, 0, -70, 0, 0, 0, 18, 0, -12, 0, -2, 0, 36, 0, -2, 0, 26, 0, -32, 0, -8, 0, 4, 0, 12, 0, -42, 0, 0, 0, 20, 0, -6, 0, 18, 0, 6, 0, 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{'AL_dims': [[[[2, -1], [3, -1], [5, 1], [23, 1]], 2, 2], [[[2, -1], [3, -1], [5, -1], [23, -1]], 1, 1], [[[2, -1], [3, 1], [5, 1], [23, -1]], 4, 1], [[[2, 1], [3, 1], [5, -1], [23, -1]], 1, 1], [[[2, 1], [3, 1], [5, -1], [23, 1]], 5, 1], [[[2, -1], [3, -1], [5, -1], [23, 1]], 4, 2], [[[2, -1], [3, 1], [5, 1], [23, 1]], 2, 2], [[[2, -1], [3, 1], [5, -1], [23, -1]], 3, 2], [[[2, 1], [3, -1], [5, -1], [23, -1]], 3, 1], [[[2, 1], [3, 1], [5, 1], [23, -1]], 4, 3], [[[2, 1], [3, -1], [5, 1], [23, -1]], 3, 1], [[[2, 1], [3, -1], [5, 1], [23, 1]], 2, 1], [[[2, 1], [3, -1], [5, -1], [23, 1]], 2, 1], [[[2, 1], [3, 1], [5, 1], [23, 1]], 2, 1], [[[2, -1], [3, 1], [5, -1], [23, 1]], 3, 2], [[[2, -1], [3, -1], [5, 1], [23, -1]], 3, 1]], 'ALdims': [2, 4, 5, 1, 2, 3, 2, 3, 2, 4, 3, 3, 2, 3, 4, 1], 'Nk2': 11040, 'analytic_conductor': 22.038710957873388, 'char_conductor': 1, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [2760, 1, [2071, 1381, 1841, 1657, 1201], [1, 1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 561, 'dim': 44, 'eis_dim': 31, 'eis_new_dim': 0, 'hecke_cutter_primes': [7, 11], 'hecke_orbit_code': 33557192, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 4, 5], 'label': '2760.2.a', 'level': 2760, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 23], 'level_radical': 690, 'mf_dim': 592, 'mf_new_dim': 44, 'num_forms': 23, 'plus_dim': 18, 'prim_orbit_index': 1, 'relative_dim': 44, 'sturm_bound': 1152, 'trace_bound': 11, 'trace_display': [0, -4, 0, -8], 'traces': [44, 0, -4, 0, 0, 0, -8, 0, 44, 0, 0, 0, 0, 0, 0, 0, 16, 0, -8, 0, -8, 0, 0, 0, 44, 0, -4, 0, 16, 0, -8, 0, 0, 0, 0, 0, -8, 0, -8, 0, 0, 0, -8, 0, 0, 0, 0, 0, 52, 0, 0, 0, -48, 0, 0, 0, -8, 0, 16, 0, -56, 0, -8, 0, 0, 0, 8, 0, 0, 0, 16, 0, 8, 0, -4, 0, 0, 0, 24, 0, 44, 0, 48, 0, 8, 0, 16, 0, 48, 0, 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mf_twists_cc • Show schema
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id: 48372905
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 94575592208337608, 'source_is_minimal': True, 'source_label': '2760.2.a.v.1.2', 'source_level': 2760, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 94575592208337608, 'target_is_minimal': True, 'target_label': '2760.2.a.v.1.2', 'target_level': 2760, 'twist_class_label': '2760.2.a.v.1.2', 'twist_class_level': 2760, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 48372906
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 94575592208337608, 'source_is_minimal': True, 'source_label': '2760.2.a.v.1.2', 'source_level': 2760, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 189151184383123544, 'target_is_minimal': False, 'target_label': '8280.2.a.bq.1.2', 'target_level': 8280, 'twist_class_label': '2760.2.a.v.1.2', 'twist_class_level': 2760, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 48372907
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 94575592208337608, 'source_is_minimal': True, 'source_label': '2760.2.a.v.1.2', 'source_level': 2760, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 3, 'target_hecke_orbit_code': 238690780284196240, 'target_is_minimal': False, 'target_label': '5520.2.a.cb.1.3', 'target_level': 5520, 'twist_class_label': '2760.2.a.v.1.2', 'twist_class_level': 2760, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 2837000
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 94575592208337608, 'p': 2}
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id: 2837001
{'charpoly_factorization': [[[1, 1], 4]], 'hecke_orbit_code': 94575592208337608, 'p': 3}
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id: 2837002
{'charpoly_factorization': [[[1, 1], 4]], 'hecke_orbit_code': 94575592208337608, 'p': 5}
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id: 2837003
{'charpoly_factorization': [[[8, -6, -19, 0, 1], 1]], 'hecke_orbit_code': 94575592208337608, 'p': 7}
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id: 2837004
{'charpoly_factorization': [[[80, 12, -22, 0, 1], 1]], 'hecke_orbit_code': 94575592208337608, 'p': 11}
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id: 2837005
{'charpoly_factorization': [[[296, -56, -38, 2, 1], 1]], 'hecke_orbit_code': 94575592208337608, 'p': 13}
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id: 2837006
{'charpoly_factorization': [[[1024, 58, -71, -2, 1], 1]], 'hecke_orbit_code': 94575592208337608, 'p': 17}
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id: 2837007
{'charpoly_factorization': [[[256, -112, -26, 6, 1], 1]], 'hecke_orbit_code': 94575592208337608, 'p': 19}
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id: 2837008
{'charpoly_factorization': [[[-1, 1], 4]], 'hecke_orbit_code': 94575592208337608, 'p': 23}
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id: 2837009
{'charpoly_factorization': [[[-164, 400, -75, -4, 1], 1]], 'hecke_orbit_code': 94575592208337608, 'p': 29}
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id: 2837010
{'charpoly_factorization': [[[-128, -104, -11, 6, 1], 1]], 'hecke_orbit_code': 94575592208337608, 'p': 31}
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id: 2837011
{'charpoly_factorization': [[[2104, -146, -95, 4, 1], 1]], 'hecke_orbit_code': 94575592208337608, 'p': 37}
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id: 2837012
{'charpoly_factorization': [[[-380, 204, -11, -8, 1], 1]], 'hecke_orbit_code': 94575592208337608, 'p': 41}
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id: 2837013
{'charpoly_factorization': [[[-2048, -464, 68, 20, 1], 1]], 'hecke_orbit_code': 94575592208337608, 'p': 43}
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id: 2837014
{'charpoly_factorization': [[[256, 112, -26, -6, 1], 1]], 'hecke_orbit_code': 94575592208337608, 'p': 47}
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id: 2837015
{'charpoly_factorization': [[[1468, 176, -147, 4, 1], 1]], 'hecke_orbit_code': 94575592208337608, 'p': 53}
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id: 2837016
{'charpoly_factorization': [[[320, 84, -75, 4, 1], 1]], 'hecke_orbit_code': 94575592208337608, 'p': 59}
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id: 2837017
{'charpoly_factorization': [[[-400, -364, -62, 4, 1], 1]], 'hecke_orbit_code': 94575592208337608, 'p': 61}
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id: 2837018
{'charpoly_factorization': [[[-6976, -900, 141, 26, 1], 1]], 'hecke_orbit_code': 94575592208337608, 'p': 67}
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id: 2837019
{'charpoly_factorization': [[[-64, 96, -35, 0, 1], 1]], 'hecke_orbit_code': 94575592208337608, 'p': 71}
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id: 2837020
{'charpoly_factorization': [[[-152, -8, 82, 18, 1], 1]], 'hecke_orbit_code': 94575592208337608, 'p': 73}
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id: 2837021
{'charpoly_factorization': [[[512, -1536, -56, 18, 1], 1]], 'hecke_orbit_code': 94575592208337608, 'p': 79}
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id: 2837022
{'charpoly_factorization': [[[-9176, -1486, 109, 26, 1], 1]], 'hecke_orbit_code': 94575592208337608, 'p': 83}
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id: 2837023
{'charpoly_factorization': [[[-64, 48, 24, -14, 1], 1]], 'hecke_orbit_code': 94575592208337608, 'p': 89}
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id: 2837024
{'charpoly_factorization': [[[64, -128, -44, 12, 1], 1]], 'hecke_orbit_code': 94575592208337608, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 22, 'label': '2760.2.a.v', 'level': 2760, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 251260000
{'hecke_orbit_code': 94575592208337608, 'n': 1, 'trace_an': 4}
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id: 251260001
{'hecke_orbit_code': 94575592208337608, 'n': 2, 'trace_an': 0}
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id: 251260002
{'hecke_orbit_code': 94575592208337608, 'n': 3, 'trace_an': -4}
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id: 251260003
{'hecke_orbit_code': 94575592208337608, 'n': 4, 'trace_an': 0}
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id: 251260004
{'hecke_orbit_code': 94575592208337608, 'n': 5, 'trace_an': -4}
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id: 251260005
{'hecke_orbit_code': 94575592208337608, 'n': 6, 'trace_an': 0}
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id: 251260006
{'hecke_orbit_code': 94575592208337608, 'n': 7, 'trace_an': 0}
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id: 251260007
{'hecke_orbit_code': 94575592208337608, 'n': 8, 'trace_an': 0}
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id: 251260008
{'hecke_orbit_code': 94575592208337608, 'n': 9, 'trace_an': 4}
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id: 251260009
{'hecke_orbit_code': 94575592208337608, 'n': 10, 'trace_an': 0}
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id: 251260010
{'hecke_orbit_code': 94575592208337608, 'n': 11, 'trace_an': 0}
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id: 251260011
{'hecke_orbit_code': 94575592208337608, 'n': 12, 'trace_an': 0}
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id: 251260012
{'hecke_orbit_code': 94575592208337608, 'n': 13, 'trace_an': -2}
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id: 251260013
{'hecke_orbit_code': 94575592208337608, 'n': 14, 'trace_an': 0}
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id: 251260014
{'hecke_orbit_code': 94575592208337608, 'n': 15, 'trace_an': 4}
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id: 251260015
{'hecke_orbit_code': 94575592208337608, 'n': 16, 'trace_an': 0}
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id: 251260016
{'hecke_orbit_code': 94575592208337608, 'n': 17, 'trace_an': 2}
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id: 251260017
{'hecke_orbit_code': 94575592208337608, 'n': 18, 'trace_an': 0}
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id: 251260018
{'hecke_orbit_code': 94575592208337608, 'n': 19, 'trace_an': -6}
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id: 251260019
{'hecke_orbit_code': 94575592208337608, 'n': 20, 'trace_an': 0}
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