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mf_newforms • Show schema
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{'Nk2': 3844, 'analytic_conductor': 7.673623634245045, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 31, 'char_degree': 2, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 3, 'char_orbit_label': 'c', 'char_order': 3, 'char_parity': 1, 'char_values': [961, 3, [3], [2]], 'cm_discs': [], 'conrey_index': 439, 'dim': 8, 'field_disc': 207360000, 'field_disc_factorization': [[2, 12], [3, 4], [5, 4]], 'field_poly': [16, 0, 24, 0, 32, 0, 6, 0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'has_non_self_twist': 1, 'hecke_cutters': [[2, [1, -3, 1]], [3, [16, 0, 24, 0, 32, 0, 6, 0, 1]]], 'hecke_orbit': 8, 'hecke_orbit_code': 31525334864102337, 'hecke_ring_generator_nbound': 5, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 4, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 31, 2, -1, 2, 0], [1, 1, 31, 3, 1, 3, 0], [1, 1, 31, 5, 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mf_hecke_nf • Show schema
Hide schema
{'an': [[1, 0, 0, 0, 0, 0, 0, 0], [2, 0, -1, 0, 0, 0, 0, 0], [0, -1, 0, 0, 0, 0, 0, 0], [3, 0, -3, 0, 0, 0, 0, 0], [-1, 0, 0, 0, 1, 0, -2, 0], [0, -1, 0, 1, 0, 0, 0, 0], [0, 0, 0, 0, 1, 0, 0, 0], [5, 0, -4, 0, 0, 0, 0, 0], [1, 0, 0, 0, -1, 0, 2, 0], [-4, 0, 0, 0, 4, 0, -3, 0], [0, 0, 0, 3, 0, 0, 0, 3], [0, 0, 0, 3, 0, 0, 0, 0], [0, 0, 0, 0, 0, 3, 0, 0], [0, 0, -1, 0, 2, 0, -1, 0], [0, -1, 0, 0, 0, 1, 0, 2], [8, 0, -3, 0, 0, 0, 0, 0], [0, 1, 0, -2, 0, 0, 0, 0], [4, 0, 0, 0, -4, 0, 3, 0], [0, 0, 0, 0, -1, 0, 0, 0], [-9, 0, 0, 0, 9, 0, -3, 0], [0, 0, 0, 0, 0, -1, 0, 0], [0, 0, 0, 6, 0, -3, 0, 6], [0, 3, 0, 0, 0, -3, 0, 0], [0, -1, 0, 4, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, -3, 0, 3, 0, -3], [0, -2, 0, 0, 0, 2, 0, -2], [0, 0, -3, 0, 3, 0, -3, 0], [0, -1, 0, 0, 0, 1, 0, 1], [0, 1, 0, 0, 0, -1, 0, 3], [0, 0, 0, 0, 0, 0, 0, 0], [9, 0, -3, 0, 0, 0, 0, 0], [0, 0, 6, 0, 0, 0, 0, 0], [0, 3, 0, -5, 0, 0, 0, 0], [-1, 0, 2, 0, 0, 0, 0, 0], [9, 0, 0, 0, -9, 0, 3, 0], [0, 0, 0, -3, 0, 0, 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0, 0, -6, 0, -18, 0, -6], [0, 0, 0, 0, 0, 0, 0, 24], [0, 0, 20, 0, -13, 0, 20, 0], [-7, 0, -30, 0, 0, 0, 0, 0], [0, -13, 0, 11, 0, 0, 0, 0], [24, 0, 0, 0, -24, 0, 30, 0], [0, 4, 0, 0, 0, -4, 0, -10], [0, 0, 36, 0, -2, 0, 36, 0], [0, 0, 0, 23, 0, 8, 0, 23], [0, 12, 0, -21, 0, 0, 0, 0], [0, 11, 0, 0, 0, -11, 0, -20], [0, 18, 0, -20, 0, 0, 0, 0], [-44, 0, 0, 0, 44, 0, -16, 0], [-19, 0, 38, 0, 0, 0, 0, 0], [0, 0, 0, 27, 0, -18, 0, 27], [0, 3, 0, 0, 0, -3, 0, 8], [29, 0, 0, 0, -29, 0, 48, 0]], 'char_orbit_index': 3, 'field_poly': [16, 0, 24, 0, 32, 0, 6, 0, 1], 'hecke_orbit_code': 31525334864102337, 'hecke_ring_character_values': [[3, [-1, 0, 0, 0, 1, 0, 0, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 64, 64, 64, 64, 64, 32], 'hecke_ring_inverse_denominators': [1, 1, 1, 1, 1, 1, 1, 1], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0], [-2, 0, 0, 0, 2, 0, 2, 0], [0, -4, 0, 0, 0, 4, 0, 2], [0, 0, -12, 0, -8, 0, -12, 0], [0, 0, 0, -12, 0, -20, 0, -12], [40, 0, 64, 0, 0, 0, 0, 0], [0, 104, 0, 64, 0, 0, 0, 0]], 'hecke_ring_numerators': [[1, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0], [-40, 0, 0, 0, 0, 0, 1, 0], [0, -104, 0, 0, 0, 0, 0, 1], [72, 0, 96, 0, 16, 0, 3, 0], [0, 72, 0, 96, 0, 16, 0, 3], [-8, 0, -64, 0, -16, 0, -3, 0], [0, -8, 0, -80, 0, -16, 0, -3]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 8, 'label': '961.2.c.h', 'level': 961, 'maxp': 997, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 3844, 'analytic_conductor': 7.673623634245045, 'char_conductor': 31, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 3, 'char_orbit_label': 'c', 'char_order': 3, 'char_parity': 1, 'char_values': [961, 3, [3], [2]], 'conrey_index': 439, 'cusp_dim': 134, 'dim': 126, 'eis_dim': 64, 'eis_new_dim': 56, 'hecke_cutter_primes': [2, 3], 'hecke_orbit_code': 137472508865, 'hecke_orbit_dims': [4, 4, 4, 4, 4, 4, 6, 8, 16, 16, 24, 32], 'label': '961.2.c', 'level': 961, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': True, 'level_is_prime_square': True, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [31], 'level_radical': 31, 'mf_dim': 198, 'mf_new_dim': 182, 'num_forms': 12, 'prim_orbit_index': 3, 'relative_dim': 63, 'sturm_bound': 165, 'trace_bound': 5, 'trace_display': [4, -2, 2, 2], 'traces': [126, 4, -2, 96, 2, 6, 2, 18, -35, -5, -2, -10, -2, -9, 4, 28, -6, -8, 6, -1, -6, 14, 16, 10, -13, -6, 4, 7, 16, -12, 0, -60, -28, -2, 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46, -108, -40, -2, 96, 8, -146, -70, 88, -8, -145, -4, -8, 58, -6, -48, 480, 2, -2, -48, -8, 50, -10, 48, -125, 44, -44, 0, -812, 216, 70, -812, -32, -62, -211, 196, 337, -10, 64, 0, 50, 322, 0, -856, -72, 28, -132, -78, -10, 10, -212, -10, 398, 8, -84, -62, -64, -56, 0, -524, 58, 34, 272, 420, -98, -118, 156], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 591998
{'conductor': 31, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 8, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '961.2.c.h', 'source_level': 961, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 8, 'target_is_minimal': True, 'target_label': '961.2.a.h', 'target_level': 961, 'twist_class_label': '961.2.a.h', 'twist_class_level': 961, 'twisting_char_label': '31.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 591999
{'conductor': 31, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 8, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '961.2.c.h', 'source_level': 961, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 8, 'target_is_minimal': True, 'target_label': '961.2.a.h', 'target_level': 961, 'twist_class_label': '961.2.a.h', 'twist_class_level': 961, 'twisting_char_label': '31.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 592000
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 3, 'source_dim': 8, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '961.2.c.h', 'source_level': 961, 'target_char_orbit': 3, 'target_dim': 8, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '961.2.c.h', 'target_level': 961, 'twist_class_label': '961.2.a.h', 'twist_class_level': 961, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 592001
{'conductor': 31, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 8, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '961.2.c.h', 'source_level': 961, 'target_char_orbit': 3, 'target_dim': 8, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '961.2.c.h', 'target_level': 961, 'twist_class_label': '961.2.a.h', 'twist_class_level': 961, 'twisting_char_label': '31.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 592002
{'conductor': 31, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 8, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '961.2.c.h', 'source_level': 961, 'target_char_orbit': 3, 'target_dim': 8, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '961.2.c.h', 'target_level': 961, 'twist_class_label': '961.2.a.h', 'twist_class_level': 961, 'twisting_char_label': '31.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 592003
{'conductor': 31, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 8, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '961.2.c.h', 'source_level': 961, 'target_char_orbit': 3, 'target_dim': 8, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '961.2.c.h', 'target_level': 961, 'twist_class_label': '961.2.a.h', 'twist_class_level': 961, 'twisting_char_label': '31.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 592004
{'conductor': 31, 'degree': 8, 'multiplicity': 2, 'order': 15, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 8, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '961.2.c.h', 'source_level': 961, 'target_char_orbit': 4, 'target_dim': 8, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '961.2.d.h', 'target_level': 961, 'twist_class_label': '961.2.a.h', 'twist_class_level': 961, 'twisting_char_label': '31.g', 'twisting_char_orbit': 7, 'weight': 2}
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id: 592005
{'conductor': 31, 'degree': 8, 'multiplicity': 2, 'order': 30, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 8, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '961.2.c.h', 'source_level': 961, 'target_char_orbit': 4, 'target_dim': 8, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '961.2.d.h', 'target_level': 961, 'twist_class_label': '961.2.a.h', 'twist_class_level': 961, 'twisting_char_label': '31.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 592006
{'conductor': 31, 'degree': 8, 'multiplicity': 2, 'order': 15, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 8, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '961.2.c.h', 'source_level': 961, 'target_char_orbit': 4, 'target_dim': 8, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '961.2.d.j', 'target_level': 961, 'twist_class_label': '961.2.a.h', 'twist_class_level': 961, 'twisting_char_label': '31.g', 'twisting_char_orbit': 7, 'weight': 2}
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id: 592007
{'conductor': 31, 'degree': 8, 'multiplicity': 2, 'order': 30, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 8, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '961.2.c.h', 'source_level': 961, 'target_char_orbit': 4, 'target_dim': 8, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '961.2.d.j', 'target_level': 961, 'twist_class_label': '961.2.a.h', 'twist_class_level': 961, 'twisting_char_label': '31.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 592008
{'conductor': 31, 'degree': 4, 'multiplicity': 2, 'order': 5, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 8, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '961.2.c.h', 'source_level': 961, 'target_char_orbit': 7, 'target_dim': 16, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '961.2.g.i', 'target_level': 961, 'twist_class_label': '961.2.a.h', 'twist_class_level': 961, 'twisting_char_label': '31.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 592009
{'conductor': 31, 'degree': 4, 'multiplicity': 2, 'order': 10, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 8, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '961.2.c.h', 'source_level': 961, 'target_char_orbit': 7, 'target_dim': 16, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '961.2.g.i', 'target_level': 961, 'twist_class_label': '961.2.a.h', 'twist_class_level': 961, 'twisting_char_label': '31.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 592010
{'conductor': 31, 'degree': 8, 'multiplicity': 2, 'order': 15, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 8, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '961.2.c.h', 'source_level': 961, 'target_char_orbit': 7, 'target_dim': 16, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '961.2.g.i', 'target_level': 961, 'twist_class_label': '961.2.a.h', 'twist_class_level': 961, 'twisting_char_label': '31.g', 'twisting_char_orbit': 7, 'weight': 2}
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id: 592011
{'conductor': 31, 'degree': 8, 'multiplicity': 2, 'order': 30, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 8, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '961.2.c.h', 'source_level': 961, 'target_char_orbit': 7, 'target_dim': 16, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '961.2.g.i', 'target_level': 961, 'twist_class_label': '961.2.a.h', 'twist_class_level': 961, 'twisting_char_label': '31.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 592012
{'conductor': 31, 'degree': 4, 'multiplicity': 2, 'order': 5, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 8, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '961.2.c.h', 'source_level': 961, 'target_char_orbit': 7, 'target_dim': 16, 'target_hecke_orbit': 16, 'target_is_minimal': False, 'target_label': '961.2.g.p', 'target_level': 961, 'twist_class_label': '961.2.a.h', 'twist_class_level': 961, 'twisting_char_label': '31.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 592013
{'conductor': 31, 'degree': 4, 'multiplicity': 2, 'order': 10, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 8, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '961.2.c.h', 'source_level': 961, 'target_char_orbit': 7, 'target_dim': 16, 'target_hecke_orbit': 16, 'target_is_minimal': False, 'target_label': '961.2.g.p', 'target_level': 961, 'twist_class_label': '961.2.a.h', 'twist_class_level': 961, 'twisting_char_label': '31.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 592014
{'conductor': 31, 'degree': 8, 'multiplicity': 2, 'order': 15, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 8, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '961.2.c.h', 'source_level': 961, 'target_char_orbit': 7, 'target_dim': 16, 'target_hecke_orbit': 16, 'target_is_minimal': False, 'target_label': '961.2.g.p', 'target_level': 961, 'twist_class_label': '961.2.a.h', 'twist_class_level': 961, 'twisting_char_label': '31.g', 'twisting_char_orbit': 7, 'weight': 2}
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id: 592015
{'conductor': 31, 'degree': 8, 'multiplicity': 2, 'order': 30, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 8, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '961.2.c.h', 'source_level': 961, 'target_char_orbit': 7, 'target_dim': 16, 'target_hecke_orbit': 16, 'target_is_minimal': False, 'target_label': '961.2.g.p', 'target_level': 961, 'twist_class_label': '961.2.a.h', 'twist_class_level': 961, 'twisting_char_label': '31.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 592016
{'conductor': 93, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 8, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '961.2.c.h', 'source_level': 961, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 18, 'target_is_minimal': False, 'target_label': '8649.2.a.r', 'target_level': 8649, 'twist_class_label': '961.2.a.h', 'twist_class_level': 961, 'twisting_char_label': '93.g', 'twisting_char_orbit': 7, 'weight': 2}
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id: 592017
{'conductor': 93, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 8, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '961.2.c.h', 'source_level': 961, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 18, 'target_is_minimal': False, 'target_label': '8649.2.a.r', 'target_level': 8649, 'twist_class_label': '961.2.a.h', 'twist_class_level': 961, 'twisting_char_label': '93.h', 'twisting_char_orbit': 8, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 1540700
{'charpoly_factorization': [[[1, -3, 1], 4]], 'hecke_orbit_code': 31525334864102337, 'p': 2}
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id: 1540701
{'charpoly_factorization': [[[16, 0, 24, 0, 32, 0, 6, 0, 1], 1]], 'hecke_orbit_code': 31525334864102337, 'p': 3}
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id: 1540702
{'charpoly_factorization': [[[25, 0, 5, 0, 1], 2]], 'hecke_orbit_code': 31525334864102337, 'p': 5}
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id: 1540703
{'charpoly_factorization': [[[1, -1, 1], 4]], 'hecke_orbit_code': 31525334864102337, 'p': 7}
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id: 1540704
{'charpoly_factorization': [[[324, 0, 18, 0, 1], 2]], 'hecke_orbit_code': 31525334864102337, 'p': 11}
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id: 1540705
{'charpoly_factorization': [[[104976, 0, 17496, 0, 2592, 0, 54, 0, 1], 1]], 'hecke_orbit_code': 31525334864102337, 'p': 13}
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id: 1540706
{'charpoly_factorization': [[[16, 0, 56, 0, 192, 0, 14, 0, 1], 1]], 'hecke_orbit_code': 31525334864102337, 'p': 17}
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id: 1540707
{'charpoly_factorization': [[[1, 1, 1], 4]], 'hecke_orbit_code': 31525334864102337, 'p': 19}
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id: 1540708
{'charpoly_factorization': [[[324, 0, -54, 0, 1], 2]], 'hecke_orbit_code': 31525334864102337, 'p': 23}
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id: 1540709
{'charpoly_factorization': [[[4, 0, -14, 0, 1], 2]], 'hecke_orbit_code': 31525334864102337, 'p': 29}
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id: 1540710
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 31525334864102337, 'p': 31}
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id: 1540711
{'charpoly_factorization': [[[324, 0, 18, 0, 1], 2]], 'hecke_orbit_code': 31525334864102337, 'p': 37}
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id: 1540712
{'charpoly_factorization': [[[121, -66, 47, 6, 1], 2]], 'hecke_orbit_code': 31525334864102337, 'p': 41}
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id: 1540713
{'charpoly_factorization': [[[16, 0, 376, 0, 8832, 0, 94, 0, 1], 1]], 'hecke_orbit_code': 31525334864102337, 'p': 43}
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id: 1540714
{'charpoly_factorization': [[[-36, 6, 1], 4]], 'hecke_orbit_code': 31525334864102337, 'p': 47}
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id: 1540715
{'charpoly_factorization': [[[26873856, 0, 1119744, 0, 41472, 0, 216, 0, 1], 1]], 'hecke_orbit_code': 31525334864102337, 'p': 53}
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id: 1540716
{'charpoly_factorization': [[[5041, -426, 107, 6, 1], 2]], 'hecke_orbit_code': 31525334864102337, 'p': 59}
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id: 1540717
{'charpoly_factorization': [[[3844, 0, -214, 0, 1], 2]], 'hecke_orbit_code': 31525334864102337, 'p': 61}
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id: 1540718
{'charpoly_factorization': [[[36, 6, 1], 4]], 'hecke_orbit_code': 31525334864102337, 'p': 67}
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id: 1540719
{'charpoly_factorization': [[[121, -66, 47, 6, 1], 2]], 'hecke_orbit_code': 31525334864102337, 'p': 71}
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id: 1540720
{'charpoly_factorization': [[[324, 0, 18, 0, 1], 2]], 'hecke_orbit_code': 31525334864102337, 'p': 73}
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id: 1540721
{'charpoly_factorization': [[[104976, 0, 40824, 0, 15552, 0, 126, 0, 1], 1]], 'hecke_orbit_code': 31525334864102337, 'p': 79}
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id: 1540722
{'charpoly_factorization': [[[100, 0, 10, 0, 1], 2]], 'hecke_orbit_code': 31525334864102337, 'p': 83}
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id: 1540723
{'charpoly_factorization': [[[8100, 0, -270, 0, 1], 2]], 'hecke_orbit_code': 31525334864102337, 'p': 89}
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id: 1540724
{'charpoly_factorization': [[[7, 1], 8]], 'hecke_orbit_code': 31525334864102337, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 3, 'hecke_orbit': 8, 'label': '961.2.c.h', 'level': 961, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
-
id: 49776949
{'hecke_orbit_code': 31525334864102337, 'n': 1, 'trace_an': 8}
-
id: 49776950
{'hecke_orbit_code': 31525334864102337, 'n': 2, 'trace_an': 12}
-
id: 49776951
{'hecke_orbit_code': 31525334864102337, 'n': 3, 'trace_an': 0}
-
id: 49776952
{'hecke_orbit_code': 31525334864102337, 'n': 4, 'trace_an': 12}
-
id: 49776953
{'hecke_orbit_code': 31525334864102337, 'n': 5, 'trace_an': 0}
-
id: 49776954
{'hecke_orbit_code': 31525334864102337, 'n': 6, 'trace_an': 0}
-
id: 49776955
{'hecke_orbit_code': 31525334864102337, 'n': 7, 'trace_an': 4}
-
id: 49776956
{'hecke_orbit_code': 31525334864102337, 'n': 8, 'trace_an': 24}
-
id: 49776957
{'hecke_orbit_code': 31525334864102337, 'n': 9, 'trace_an': 0}
-
id: 49776958
{'hecke_orbit_code': 31525334864102337, 'n': 10, 'trace_an': -10}
-
id: 49776959
{'hecke_orbit_code': 31525334864102337, 'n': 11, 'trace_an': 0}
-
id: 49776960
{'hecke_orbit_code': 31525334864102337, 'n': 12, 'trace_an': 0}
-
id: 49776961
{'hecke_orbit_code': 31525334864102337, 'n': 13, 'trace_an': 0}
-
id: 49776962
{'hecke_orbit_code': 31525334864102337, 'n': 14, 'trace_an': 6}
-
id: 49776963
{'hecke_orbit_code': 31525334864102337, 'n': 15, 'trace_an': 0}
-
id: 49776964
{'hecke_orbit_code': 31525334864102337, 'n': 16, 'trace_an': 52}
-
id: 49776965
{'hecke_orbit_code': 31525334864102337, 'n': 17, 'trace_an': 0}
-
id: 49776966
{'hecke_orbit_code': 31525334864102337, 'n': 18, 'trace_an': 10}
-
id: 49776967
{'hecke_orbit_code': 31525334864102337, 'n': 19, 'trace_an': -4}
-
id: 49776968
{'hecke_orbit_code': 31525334864102337, 'n': 20, 'trace_an': -30}
-
id: 49776969
{'hecke_orbit_code': 31525334864102337, 'n': 21, 'trace_an': 0}
-
id: 49776970
{'hecke_orbit_code': 31525334864102337, 'n': 22, 'trace_an': 0}
-
id: 49776971
{'hecke_orbit_code': 31525334864102337, 'n': 23, 'trace_an': 0}
-
id: 49776972
{'hecke_orbit_code': 31525334864102337, 'n': 24, 'trace_an': 0}
-
id: 49776973
{'hecke_orbit_code': 31525334864102337, 'n': 25, 'trace_an': 0}
-
id: 49776974
{'hecke_orbit_code': 31525334864102337, 'n': 26, 'trace_an': 0}
-
id: 49776975
{'hecke_orbit_code': 31525334864102337, 'n': 27, 'trace_an': 0}
-
id: 49776976
{'hecke_orbit_code': 31525334864102337, 'n': 28, 'trace_an': 6}
-
id: 49776977
{'hecke_orbit_code': 31525334864102337, 'n': 29, 'trace_an': 0}
-
id: 49776978
{'hecke_orbit_code': 31525334864102337, 'n': 30, 'trace_an': 0}
-
id: 49776979
{'hecke_orbit_code': 31525334864102337, 'n': 31, 'trace_an': 0}
-
id: 49776980
{'hecke_orbit_code': 31525334864102337, 'n': 32, 'trace_an': 60}
-
id: 49776981
{'hecke_orbit_code': 31525334864102337, 'n': 33, 'trace_an': 24}
-
id: 49776982
{'hecke_orbit_code': 31525334864102337, 'n': 34, 'trace_an': 0}
-
id: 49776983
{'hecke_orbit_code': 31525334864102337, 'n': 35, 'trace_an': 0}
-
id: 49776984
{'hecke_orbit_code': 31525334864102337, 'n': 36, 'trace_an': 30}
-
id: 49776985
{'hecke_orbit_code': 31525334864102337, 'n': 37, 'trace_an': 0}
-
id: 49776986
{'hecke_orbit_code': 31525334864102337, 'n': 38, 'trace_an': -6}
-
id: 49776987
{'hecke_orbit_code': 31525334864102337, 'n': 39, 'trace_an': 72}
-
id: 49776988
{'hecke_orbit_code': 31525334864102337, 'n': 40, 'trace_an': -40}
-
id: 49776989
{'hecke_orbit_code': 31525334864102337, 'n': 41, 'trace_an': -12}
-
id: 49776990
{'hecke_orbit_code': 31525334864102337, 'n': 42, 'trace_an': 0}
-
id: 49776991
{'hecke_orbit_code': 31525334864102337, 'n': 43, 'trace_an': 0}
-
id: 49776992
{'hecke_orbit_code': 31525334864102337, 'n': 44, 'trace_an': 0}
-
id: 49776993
{'hecke_orbit_code': 31525334864102337, 'n': 45, 'trace_an': 20}
-
id: 49776994
{'hecke_orbit_code': 31525334864102337, 'n': 46, 'trace_an': 0}
-
id: 49776995
{'hecke_orbit_code': 31525334864102337, 'n': 47, 'trace_an': -24}
-
id: 49776996
{'hecke_orbit_code': 31525334864102337, 'n': 48, 'trace_an': 0}
-
id: 49776997
{'hecke_orbit_code': 31525334864102337, 'n': 49, 'trace_an': 24}
-
id: 49776998
{'hecke_orbit_code': 31525334864102337, 'n': 50, 'trace_an': 0}
-
id: 49776999
{'hecke_orbit_code': 31525334864102337, 'n': 51, 'trace_an': 4}
-
id: 49777000
{'hecke_orbit_code': 31525334864102337, 'n': 52, 'trace_an': 0}
-
id: 49777001
{'hecke_orbit_code': 31525334864102337, 'n': 53, 'trace_an': 0}
-
id: 49777002
{'hecke_orbit_code': 31525334864102337, 'n': 54, 'trace_an': 0}
-
id: 49777003
{'hecke_orbit_code': 31525334864102337, 'n': 55, 'trace_an': 0}
-
id: 49777004
{'hecke_orbit_code': 31525334864102337, 'n': 56, 'trace_an': 12}
-
id: 49777005
{'hecke_orbit_code': 31525334864102337, 'n': 57, 'trace_an': 0}
-
id: 49777006
{'hecke_orbit_code': 31525334864102337, 'n': 58, 'trace_an': 0}
-
id: 49777007
{'hecke_orbit_code': 31525334864102337, 'n': 59, 'trace_an': -12}
-
id: 49777008
{'hecke_orbit_code': 31525334864102337, 'n': 60, 'trace_an': 0}
-
id: 49777009
{'hecke_orbit_code': 31525334864102337, 'n': 61, 'trace_an': 0}
-
id: 49777010
{'hecke_orbit_code': 31525334864102337, 'n': 62, 'trace_an': 0}
-
id: 49777011
{'hecke_orbit_code': 31525334864102337, 'n': 63, 'trace_an': 0}
-
id: 49777012
{'hecke_orbit_code': 31525334864102337, 'n': 64, 'trace_an': 16}
-
id: 49777013
{'hecke_orbit_code': 31525334864102337, 'n': 65, 'trace_an': 0}
-
id: 49777014
{'hecke_orbit_code': 31525334864102337, 'n': 66, 'trace_an': -24}
-
id: 49777015
{'hecke_orbit_code': 31525334864102337, 'n': 67, 'trace_an': -24}
-
id: 49777016
{'hecke_orbit_code': 31525334864102337, 'n': 68, 'trace_an': 0}
-
id: 49777017
{'hecke_orbit_code': 31525334864102337, 'n': 69, 'trace_an': -36}
-
id: 49777018
{'hecke_orbit_code': 31525334864102337, 'n': 70, 'trace_an': -20}
-
id: 49777019
{'hecke_orbit_code': 31525334864102337, 'n': 71, 'trace_an': -12}
-
id: 49777020
{'hecke_orbit_code': 31525334864102337, 'n': 72, 'trace_an': 40}
-
id: 49777021
{'hecke_orbit_code': 31525334864102337, 'n': 73, 'trace_an': 0}
-
id: 49777022
{'hecke_orbit_code': 31525334864102337, 'n': 74, 'trace_an': 0}
-
id: 49777023
{'hecke_orbit_code': 31525334864102337, 'n': 75, 'trace_an': 0}
-
id: 49777024
{'hecke_orbit_code': 31525334864102337, 'n': 76, 'trace_an': -6}
-
id: 49777025
{'hecke_orbit_code': 31525334864102337, 'n': 77, 'trace_an': 0}
-
id: 49777026
{'hecke_orbit_code': 31525334864102337, 'n': 78, 'trace_an': 48}
-
id: 49777027
{'hecke_orbit_code': 31525334864102337, 'n': 79, 'trace_an': 0}
-
id: 49777028
{'hecke_orbit_code': 31525334864102337, 'n': 80, 'trace_an': -30}
-
id: 49777029
{'hecke_orbit_code': 31525334864102337, 'n': 81, 'trace_an': 16}
-
id: 49777030
{'hecke_orbit_code': 31525334864102337, 'n': 82, 'trace_an': 2}
-
id: 49777031
{'hecke_orbit_code': 31525334864102337, 'n': 83, 'trace_an': 0}
-
id: 49777032
{'hecke_orbit_code': 31525334864102337, 'n': 84, 'trace_an': 0}
-
id: 49777033
{'hecke_orbit_code': 31525334864102337, 'n': 85, 'trace_an': 0}
-
id: 49777034
{'hecke_orbit_code': 31525334864102337, 'n': 86, 'trace_an': 0}
-
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