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{'Nk2': 20700, 'analytic_conductor': 41.322583046012596, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[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': [5175, 1, [4601, 3727, 2926], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 4, 'field_disc': 5744, 'field_disc_factorization': [[2, 4], [359, 1]], 'field_poly': [1, -2, -5, 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': [[2, [1, -2, -5, 0, 1]], [7, [-4, -12, 4, 6, 1]], [11, [-28, -44, -16, 2, 1]]], 'hecke_orbit': 48, 'hecke_orbit_code': 211669182519972919, 'hecke_ring_generator_nbound': 2, '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': '5175.2.a.bv', 'level': 5175, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 5, 23], 'level_radical': 345, 'minimal_twist': '115.2.b.b', 'nf_label': '4.4.5744.1', 'prim_orbit_index': 1, 'qexp_display': 'q+\\beta _{1}q^{2}+(\\beta _{1}+\\beta _{2}+\\beta _{3})q^{4}+(-1+\\cdots)q^{7}+\\cdots', 'related_objects': [], 'relative_dim': 4, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '5175.2.a', 'trace_display': [0, 0, 0, -6], 'trace_hash': 1786350175201486735, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.803', 'prec': 17}, {'__RealLiteral__': 0, 'data': 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mf_hecke_nf • Show schema
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{'an': [[1, 0, 0, 0], [0, 1, 0, 0], [0, 0, 0, 0], [0, 1, 1, 1], [0, 0, 0, 0], [0, 0, 0, 0], [-1, 0, -1, -1], [1, 1, 1, 0], [0, 0, 0, 0], [0, 0, 0, 0], [-1, 0, 1, -1], [0, 0, 0, 0], [-3, -1, -1, 0], [1, -3, 0, 1], [0, 0, 0, 0], [1, 1, -1, -1], [4, 1, -1, 0], [0, 0, 0, 0], [-1, -1, 0, -1], [0, 0, 0, 0], [0, 0, 0, 0], [-1, -1, 0, 1], [-1, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [-1, -5, -1, -1], [0, 0, 0, 0], [-4, -1, -1, -2], [-1, 0, 0, 2], [0, 0, 0, 0], [-1, -2, 2, 2], [1, -2, -1, 2], [0, 0, 0, 0], [3, 4, 1, 1], [0, 0, 0, 0], [0, 0, 0, 0], [-1, 4, 1, 1], [-2, -3, -1, 0], [0, 0, 0, 0], [0, 0, 0, 0], [3, -4, -2, 2], [0, 0, 0, 0], [1, -3, -4, 1], [0, -1, -3, 0], [0, 0, 0, 0], [0, -1, 0, 0], [-1, -3, 3, 0], [0, 0, 0, 0], [-1, -2, 2, 4], [0, 0, 0, 0], [0, 0, 0, 0], [-3, -6, -3, -4], [2, -2, -2, -4], [0, 0, 0, 0], [0, 0, 0, 0], [-3, -2, -1, -1], [0, 0, 0, 0], [0, 1, 0, -2], [0, 2, 0, 0], [0, 0, 0, 0], [-3, -1, 2, -3], [-6, 1, -2, -4], [0, 0, 0, 0], [-5, -2, 0, -2], [0, 0, 0, 0], [0, 0, 0, 0], 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[35, 3, 11, -2], [29, -23, 2, -13], [-2, -14, -8, 16], [-11, 24, 14, 12], [43, 8, 4, 10]], 'char_orbit_index': 1, 'field_poly': [1, -2, -5, 0, 1], 'hecke_orbit_code': 211669182519972919, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 1, 1], 'hecke_ring_inverse_denominators': [1, 1, 1, 1], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0], [0, 1, 0, 0], [2, 1, 1, 1], [1, 5, 1, 0]], 'hecke_ring_numerators': [[1, 0, 0, 0], [0, 1, 0, 0], [-1, -5, 0, 1], [-1, 4, 1, -1]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 4, 'label': '5175.2.a.bv', 'level': 5175, 'maxp': 2999, 'weight': 2}
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mf_newspaces • Show schema
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{'AL_dims': [[[[3, -1], [5, -1], [23, 1]], 25, 11], [[[3, -1], [5, 1], [23, 1]], 29, 15], [[[3, -1], [5, -1], [23, -1]], 31, 12], [[[3, 1], [5, 1], [23, 1]], 17, 4], [[[3, 1], [5, 1], [23, -1]], 17, 4], [[[3, 1], [5, -1], [23, -1]], 17, 2], [[[3, 1], [5, -1], [23, 1]], 17, 2], [[[3, -1], [5, 1], [23, -1]], 20, 12]], 'ALdims': [17, 17, 17, 17, 29, 20, 25, 31], 'Nk2': 20700, 'analytic_conductor': 41.322583046012596, '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': [5175, 1, [4601, 3727, 2926], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 697, 'dim': 173, 'eis_dim': 47, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 7, 11], 'hecke_orbit_code': 33559607, '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, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 4, 4, 4, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 10, 10], 'label': '5175.2.a', 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mf_twists_nf • Show schema
Hide schema
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id: 1245015
{'conductor': 15, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 48, 'source_is_minimal': False, 'source_label': '5175.2.a.bv', 'source_level': 5175, 'target_char_orbit': 2, 'target_dim': 8, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '115.2.b.b', 'target_level': 115, 'twist_class_label': '115.2.b.b', 'twist_class_level': 115, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 1245016
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 48, 'source_is_minimal': False, 'source_label': '5175.2.a.bv', 'source_level': 5175, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '575.2.a.i', 'target_level': 575, 'twist_class_label': '115.2.b.b', 'twist_class_level': 115, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1245017
{'conductor': 15, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 48, 'source_is_minimal': False, 'source_label': '5175.2.a.bv', 'source_level': 5175, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '575.2.a.j', 'target_level': 575, 'twist_class_label': '115.2.b.b', 'twist_class_level': 115, 'twisting_char_label': '15.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 1245018
{'conductor': 5, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 48, 'source_is_minimal': False, 'source_label': '5175.2.a.bv', 'source_level': 5175, 'target_char_orbit': 2, 'target_dim': 8, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '1035.2.b.e', 'target_level': 1035, 'twist_class_label': '115.2.b.b', 'twist_class_level': 115, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 1245019
{'conductor': 60, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 48, 'source_is_minimal': False, 'source_label': '5175.2.a.bv', 'source_level': 5175, 'target_char_orbit': 5, 'target_dim': 8, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '1840.2.e.d', 'target_level': 1840, 'twist_class_label': '115.2.b.b', 'twist_class_level': 115, 'twisting_char_label': '60.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 1245020
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 48, 'source_is_minimal': False, 'source_label': '5175.2.a.bv', 'source_level': 5175, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 48, 'target_is_minimal': False, 'target_label': '5175.2.a.bv', 'target_level': 5175, 'twist_class_label': '115.2.b.b', 'twist_class_level': 115, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 1245021
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 48, 'source_is_minimal': False, 'source_label': '5175.2.a.bv', 'source_level': 5175, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 49, 'target_is_minimal': False, 'target_label': '5175.2.a.bw', 'target_level': 5175, 'twist_class_label': '115.2.b.b', 'twist_class_level': 115, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1245022
{'conductor': 60, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 48, 'source_is_minimal': False, 'source_label': '5175.2.a.bv', 'source_level': 5175, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 63, 'target_is_minimal': False, 'target_label': '9200.2.a.ck', 'target_level': 9200, 'twist_class_label': '115.2.b.b', 'twist_class_level': 115, 'twisting_char_label': '60.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 1245023
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 48, 'source_is_minimal': False, 'source_label': '5175.2.a.bv', 'source_level': 5175, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 69, 'target_is_minimal': False, 'target_label': '9200.2.a.cq', 'target_level': 9200, 'twist_class_label': '115.2.b.b', 'twist_class_level': 115, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 3819400
{'charpoly_factorization': [[[1, -2, -5, 0, 1], 1]], 'hecke_orbit_code': 211669182519972919, 'p': 2}
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id: 3819401
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 211669182519972919, 'p': 3}
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id: 3819402
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 211669182519972919, 'p': 5}
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id: 3819403
{'charpoly_factorization': [[[-4, -12, 4, 6, 1], 1]], 'hecke_orbit_code': 211669182519972919, 'p': 7}
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id: 3819404
{'charpoly_factorization': [[[-28, -44, -16, 2, 1], 1]], 'hecke_orbit_code': 211669182519972919, 'p': 11}
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id: 3819405
{'charpoly_factorization': [[[61, 118, 66, 14, 1], 1]], 'hecke_orbit_code': 211669182519972919, 'p': 13}
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id: 3819406
{'charpoly_factorization': [[[20, -64, 58, -14, 1], 1]], 'hecke_orbit_code': 211669182519972919, 'p': 17}
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id: 3819407
{'charpoly_factorization': [[[-20, -28, -6, 4, 1], 1]], 'hecke_orbit_code': 211669182519972919, 'p': 19}
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id: 3819408
{'charpoly_factorization': [[[1, 1], 4]], 'hecke_orbit_code': 211669182519972919, 'p': 23}
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id: 3819409
{'charpoly_factorization': [[[5, -4, -22, 4, 1], 1]], 'hecke_orbit_code': 211669182519972919, 'p': 29}
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id: 3819410
{'charpoly_factorization': [[[-167, -256, -74, 0, 1], 1]], 'hecke_orbit_code': 211669182519972919, 'p': 31}
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id: 3819411
{'charpoly_factorization': [[[-476, -380, -72, 2, 1], 1]], 'hecke_orbit_code': 211669182519972919, 'p': 37}
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id: 3819412
{'charpoly_factorization': [[[2485, 368, -94, -8, 1], 1]], 'hecke_orbit_code': 211669182519972919, 'p': 41}
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id: 3819413
{'charpoly_factorization': [[[1964, -436, -118, 4, 1], 1]], 'hecke_orbit_code': 211669182519972919, 'p': 43}
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id: 3819414
{'charpoly_factorization': [[[4513, 166, -138, -2, 1], 1]], 'hecke_orbit_code': 211669182519972919, 'p': 47}
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id: 3819415
{'charpoly_factorization': [[[2192, 112, -104, -4, 1], 1]], 'hecke_orbit_code': 211669182519972919, 'p': 53}
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id: 3819416
{'charpoly_factorization': [[[16, -16, -20, 0, 1], 1]], 'hecke_orbit_code': 211669182519972919, 'p': 59}
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id: 3819417
{'charpoly_factorization': [[[-2756, -1148, -102, 8, 1], 1]], 'hecke_orbit_code': 211669182519972919, 'p': 61}
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id: 3819418
{'charpoly_factorization': [[[4, 12, -8, -2, 1], 1]], 'hecke_orbit_code': 211669182519972919, 'p': 67}
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id: 3819419
{'charpoly_factorization': [[[-7435, 1568, 66, -24, 1], 1]], 'hecke_orbit_code': 211669182519972919, 'p': 71}
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id: 3819420
{'charpoly_factorization': [[[-8339, -1854, -22, 18, 1], 1]], 'hecke_orbit_code': 211669182519972919, 'p': 73}
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id: 3819421
{'charpoly_factorization': [[[28, -412, 178, -24, 1], 1]], 'hecke_orbit_code': 211669182519972919, 'p': 79}
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id: 3819422
{'charpoly_factorization': [[[14948, -976, -270, 6, 1], 1]], 'hecke_orbit_code': 211669182519972919, 'p': 83}
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id: 3819423
{'charpoly_factorization': [[[2380, 372, -86, -8, 1], 1]], 'hecke_orbit_code': 211669182519972919, 'p': 89}
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id: 3819424
{'charpoly_factorization': [[[-4676, 620, 348, 34, 1], 1]], 'hecke_orbit_code': 211669182519972919, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 48, 'label': '5175.2.a.bv', 'level': 5175, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 276526000
{'hecke_orbit_code': 211669182519972919, 'n': 1, 'trace_an': 4}
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id: 276526001
{'hecke_orbit_code': 211669182519972919, 'n': 2, 'trace_an': 0}
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id: 276526002
{'hecke_orbit_code': 211669182519972919, 'n': 3, 'trace_an': 0}
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id: 276526003
{'hecke_orbit_code': 211669182519972919, 'n': 4, 'trace_an': 2}
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id: 276526004
{'hecke_orbit_code': 211669182519972919, 'n': 5, 'trace_an': 0}
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id: 276526005
{'hecke_orbit_code': 211669182519972919, 'n': 6, 'trace_an': 0}
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id: 276526006
{'hecke_orbit_code': 211669182519972919, 'n': 7, 'trace_an': -6}
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id: 276526007
{'hecke_orbit_code': 211669182519972919, 'n': 8, 'trace_an': 6}
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id: 276526008
{'hecke_orbit_code': 211669182519972919, 'n': 9, 'trace_an': 0}
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id: 276526009
{'hecke_orbit_code': 211669182519972919, 'n': 10, 'trace_an': 0}
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id: 276526010
{'hecke_orbit_code': 211669182519972919, 'n': 11, 'trace_an': -2}
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