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mf_newforms • Show schema
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{'Nk2': 2268, 'analytic_conductor': 4.527517794606598, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 9, 'char_degree': 2, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 6, 'char_orbit_label': 'f', 'char_order': 3, 'char_parity': 1, 'char_values': [567, 3, [407, 325], [1, 3]], 'cm_discs': [], 'conrey_index': 190, 'conrey_indexes': [190, 379], 'dim': 6, 'field_disc': -1156923, 'field_disc_factorization': [[-1, 1], [3, 7], [23, 2]], 'field_poly': [4, -18, 27, -19, 12, -3, 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, [9, -18, 36, -6, 6, 0, 1]], [5, [144, -72, 72, -6, 15, -3, 1]]], 'hecke_orbit': 13, 'hecke_orbit_code': 54043539159384631, 'hecke_ring_generator_nbound': 7, 'hecke_ring_index': 3, 'hecke_ring_index_factorization': [[3, 1]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 9, 3, 1, 3, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '567.2.f.m', 'level': 567, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 7], 'level_radical': 21, 'minimal_twist': '567.2.a.e', 'nf_label': '6.0.1156923.1', 'prim_orbit_index': 3, 'qexp_display': 'q-\\beta _{4}q^{2}+(-\\beta _{1}+\\beta _{2}-2\\beta _{3}+\\beta _{4}+\\cdots)q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 3, 'rm_discs': [], 'sato_tate_group': '1.2.3.c3', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '567.2.f', 'trace_display': [0, 0, 3, -3], 'trace_hash': 954287300941677685, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '5.720', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.398', 'prec': 17}, {'__RealLiteral__': 0, 'data': '124.857', 'prec': 24}, {'__RealLiteral__': 0, 'data': '112.617', 'prec': 24}, {'__RealLiteral__': 0, 'data': '4904.176', 'prec': 27}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.022', 'prec': 17}, 'traces': [6, 0, 0, -6, 3, 0, -3, 18, 0, 6, 6, 0, -3, 0, 0, -12, -6, 0, 0, 21, 0, 3, -6, 0, -6, 54, 0, 12, 3, 0, -6, -18, 0, 21, -6, 0, 30, 18, 0, 3, -12, 0, -12, 6, 0, -12, 0, 0, -3, 27, 0, -9, -24, 0, -24, -9, 0, -27, -18, 0, 3, 0, 0, 6, -21, 0, -6, 39, 0, -3, 0, 0, 18, 0, 0, 48, 6, 0, -6, -6, 0, -36, 12, 0, -15, 45, 0, 24, -30, 0, 6, -42, 0, 24, -30, 0, -12, 0, 0, 18, -30, 0, -6, -63, 0, 21, -48, 0, -6, -18, 0, -12, 15, 0, 42, -6, 0, -96, 3, 0, 3, -9, 0, -12, -30, 0, 24, -36, 0, 75, -6, 0, 0, -18, 0, -102, 15, 0, 24, 21, 0, 9, -60, 0, 54, 27, 0, -30, 21, 0, -6, -72, 0, -6, 6, 0, 9, 9, 0, 63, 12, 0, -24, 24, 0, -18, -48, 0, -42, 54, 0, -54, -45, 0, -6, 33, 0, -21, 12, 0, 12, -27, 0, -6, 15, 0, 6, -36, 0, 12, -18, 0, -15, -18, 0, -6, -18, 0, -24, 36, 0, -6, 3, 0, -18, 144, 0, 186, 30, 0, 6, 57, 0, 51, -12, 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mf_hecke_nf • Show schema
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{'an': [[1, 0, 0, 0, 0, 0], [0, 0, 0, 0, -1, 0], [0, 0, 0, 0, 0, 0], [0, -1, 1, -2, 1, 1], [0, 1, 0, 1, 0, -1], [0, 0, 0, 0, 0, 0], [-1, 0, 0, 1, 0, 0], [3, 0, -2, 0, 0, 0], [0, 0, 0, 0, 0, 0], [1, 1, 2, 0, 0, 0], [2, 0, 0, -2, 0, -1], [0, 0, 0, 0, 0, 0], [0, 1, 2, -1, 2, -1], [0, 0, 1, 0, 1, 0], [0, 0, 0, 0, 0, 0], [-4, 0, 0, 4, -3, 0], [-1, -1, 2, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, -2, 2, 0, 0, 0], [7, 0, 0, -7, 0, 1], [0, 0, 0, 0, 0, 0], [0, 1, -1, 1, -1, -1], [0, -2, 0, -2, 0, 2], [0, 0, 0, 0, 0, 0], [-2, 0, 0, 2, 2, -1], [9, 3, -2, 0, 0, 0], [0, 0, 0, 0, 0, 0], [2, 1, -1, 0, 0, 0], [1, 0, 0, -1, -2, 1], [0, 0, 0, 0, 0, 0], [0, 0, 0, -2, 0, 0], [0, -3, 3, -6, 3, 3], [0, 0, 0, 0, 0, 0], [7, 0, 0, -7, 4, 1], [-1, -1, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [5, 0, 0, 0, 0, 0], [6, 0, 0, -6, 4, 0], [0, 0, 0, 0, 0, 0], [0, 1, -4, 1, -4, -1], [0, 2, -2, -4, -2, -2], [0, 0, 0, 0, 0, 0], [-4, 0, 0, 4, 4, 1], [1, -2, 3, 0, 0, 0], [0, 0, 0, 0, 0, 0], [-2, -2, -4, 0, 0, 0], [0, 0, 0, 0, 2, 0], [0, 0, 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[2, 2, -4, 0, 0, 0], [2, 0, 0, 0, 0, 0], [-6, 0, 0, 6, -4, 3], [0, 3, -6, -5, -6, -3], [-3, -6, 0, 0, 0, 0], [-4, 0, -6, 0, 0, 0], [0, 1, -4, 2, -4, -1], [4, 0, 0, -4, 0, -6], [2, 0, 0, -2, 6, -4], [0, -3, 0, -11, 0, 3], [13, 1, -2, 0, 0, 0], [0, -1, 4, -10, 4, 1], [-5, 0, 0, 5, 0, -3], [0, 0, 6, 0, 0, 0], [0, -5, 6, 1, 6, 5], [14, 0, 0, -14, 0, -1], [-7, -1, 2, 0, 0, 0], [-16, 0, 6, 0, 0, 0], [4, 0, 0, -4, -6, -3], [1, 0, 0, -1, 4, -2], [0, 6, -6, 10, -6, -6], [0, -1, 4, 5, 4, 1], [4, 2, 4, 0, 0, 0], [0, 0, 2, 0, 2, 0], [-15, 0, 0, 15, 2, 5], [-15, 0, 0, 15, 2, -3], [12, 0, 0, -12, 8, -4], [0, 3, 6, -20, 6, -3], [0, -3, -4, -12, -4, 3], [8, 0, 0, -8, -2, 4], [-16, 0, 0, 16, -6, 2], [-8, 1, 4, 0, 0, 0], [6, 0, 0, -6, 8, 2], [0, -7, -2, 0, -2, 7], [-2, 11, 4, 0, 0, 0], [0, 4, 0, 16, 0, -4], [2, 0, 0, -2, 0, -4], [11, -3, 12, 0, 0, 0], [0, -2, 0, 13, 0, 2], [0, 3, 0, 19, 0, -3], [0, 8, -2, 2, -2, -8], [-5, 0, 0, 5, 0, -6], [-4, -4, 8, 0, 0, 0], [13, 5, 4, 0, 0, 0], [18, 0, 0, -18, 2, 2], 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0, 0, 10, 10, -2], [0, -6, 18, 16, 18, 6], [2, -3, 0, 0, 0, 0], [0, -7, 16, -4, 16, 7], [0, -7, -8, 0, -8, 7], [-2, -4, 4, 0, 0, 0], [0, -11, 0, -17, 0, 11], [0, 3, 0, -29, 0, -3], [-19, 5, 2, 0, 0, 0], [0, 0, -6, 10, -6, 0], [0, -7, 10, -1, 10, 7], [35, -4, -4, 0, 0, 0], [14, -6, 0, 0, 0, 0], [-21, 0, 0, 21, -4, -6], [0, 12, 0, -8, 0, -12], [12, -9, 0, 0, 0, 0], [-18, -2, 8, 0, 0, 0], [-2, 0, 0, 2, 10, -8], [4, 0, 0, -4, 6, 12], [17, 0, 0, -17, 6, 5], [0, 0, -12, -8, -12, 0], [-14, 1, -20, 0, 0, 0], [0, 0, 0, 19, 0, 0], [-12, -6, -6, 0, 0, 0], [2, 9, 12, 0, 0, 0], [0, -2, -12, 10, -12, 2], [-32, 0, 0, 32, 0, -3], [4, 0, 0, -4, -8, -8], [26, -3, 0, 0, 0, 0], [27, 0, 0, -27, 8, -3], [19, 5, -14, 0, 0, 0], [0, -3, 14, 15, 14, 3], [0, 0, 0, 0, -4, -12], [-3, -3, 6, 0, 0, 0], [0, -2, -4, -34, -4, 2], [-2, -8, 16, 0, 0, 0], [0, 0, 8, -6, 8, 0], [-34, 0, 0, 34, 6, 2], [2, 9, -12, 0, 0, 0], [7, 0, 0, -7, -6, 3]], 'char_orbit_index': 6, 'field_poly': [4, -18, 27, -19, 12, -3, 1], 'hecke_orbit_code': 54043539159384631, 'hecke_ring_character_values': [[407, [0, 0, 0, -1, 0, 0]], [325, [1, 0, 0, 0, 0, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 2, 2, 2, 2], 'hecke_ring_inverse_denominators': [1, 3, 3, 1, 3, 3], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0, 0, 0], [2, 1, -1, -1, -2, -2], [-7, 4, -1, -1, -2, -2], [-6, 0, 1, 4, 2, 3], [16, -25, 13, 25, 14, 20], [121, -28, 7, -59, -16, -34]], 'hecke_ring_numerators': [[1, 0, 0, 0, 0, 0], [3, -1, 1, 0, 0, 0], [6, -7, 8, -2, 1, 0], [-16, 43, -28, 22, -5, 2], [-40, 99, -71, 54, -13, 5], [50, -121, 82, -64, 15, -6]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 6, 'label': '567.2.f.m', 'level': 567, 'maxp': 997, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 2268, 'analytic_conductor': 4.527517794606598, 'char_conductor': 9, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 6, 'char_orbit_label': 'f', 'char_order': 3, 'char_parity': 1, 'char_values': [567, 3, [407, 325], [1, 3]], 'conrey_index': 190, 'cusp_dim': 120, 'dim': 48, 'eis_dim': 48, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 5], 'hecke_orbit_code': 343630938679, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 6, 6, 8], 'label': '567.2.f', 'level': 567, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 7], 'level_radical': 21, 'mf_dim': 168, 'mf_new_dim': 48, 'num_forms': 14, 'prim_orbit_index': 3, 'relative_dim': 24, 'sturm_bound': 144, 'trace_bound': 10, 'trace_display': [0, 0, 0, 0], 'traces': [48, 0, 0, -24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -24, 0, 0, 24, 0, 0, -12, 0, 0, -36, 0, 0, 0, 0, 0, -12, 0, 0, 48, 0, 0, 24, 0, 0, 60, 0, 0, -12, 0, 0, -120, 0, 0, -24, 0, 0, -36, 0, 0, 24, 0, 0, -36, 0, 0, 0, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, 72, 0, 0, 24, 0, 0, -12, 0, 0, 72, 0, 0, 0, 0, 0, 84, 0, 0, 24, 0, 0, 84, 0, 0, -36, 0, 0, -96, 0, 0, -48, 0, 0, 72, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, 0, -216, 0, 0, -12, 0, 0, -24, 0, 0, -72, 0, 0, 108, 0, 0, 0, 0, 0, -168, 0, 0, 108, 0, 0, -48, 0, 0, -144, 0, 0, -36, 0, 0, 84, 0, 0, -24, 0, 0, 48, 0, 0, 156, 0, 0, 168, 0, 0, -60, 0, 0, -36, 0, 0, 216, 0, 0, -24, 0, 0, 84, 0, 0, 0, 0, 0, 96, 0, 0, 12, 0, 0, -24, 0, 0, 24, 0, 0, -24, 0, 0, -144, 0, 0, -72, 0, 0, 120, 0, 0, 216, 0, 0, -120, 0, 0, -36, 0, 0, 0, 0, 0, -24, 0, 0, -108, 0, 0, 312, 0, 0, -36, 0, 0, -144, 0, 0, -120, 0, 0, 60, 0, 0, -72, 0, 0, -168, 0, 0, 0, 0, 0, -72, 0, 0, 24, 0, 0, -72, 0, 0, 0, 0, 0, 288, 0, 0, -120, 0, 0, -144, 0, 0, -144, 0, 0, 120, 0, 0, 0, 0, 0, 120, 0, 0, -12, 0, 0, -48, 0, 0, 0, 0, 0, -204, 0, 0, 12, 0, 0, -144, 0, 0, 0, 0, 0, -72, 0, 0, 48, 0, 0, -84, 0, 0, -156, 0, 0, 288, 0, 0, 120, 0, 0, -24, 0, 0, -48, 0, 0, 48, 0, 0, -12, 0, 0, -216, 0, 0, -72, 0, 0, -12, 0, 0, 0, 0, 0, -108, 0, 0, 48, 0, 0, -336, 0, 0, 168, 0, 0, -72, 0, 0, 360, 0, 0, -48, 0, 0, 288, 0, 0, 96, 0, 0, 0, 0, 0, 216, 0, 0, 168, 0, 0, -24, 0, 0, 48, 0, 0, 192, 0, 0, 192, 0, 0, 132, 0, 0, 312, 0, 0, -48, 0, 0, -72, 0, 0, 0, 0, 0, -84, 0, 0, 120, 0, 0, -216, 0, 0, 192, 0, 0, -120, 0, 0, -480, 0, 0, 60, 0, 0, -108, 0, 0, 144, 0, 0, -216, 0, 0, 72, 0, 0, -312, 0, 0, -96, 0, 0, 12, 0, 0, -168, 0, 0, 120, 0, 0, -120, 0, 0, 192, 0, 0, 108, 0, 0, -156, 0, 0, 48, 0, 0, -96, 0, 0, 96, 0, 0, 240, 0, 0, -144, 0, 0, 336, 0, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, 240, 0, 0, 12, 0, 0, -84, 0, 0, 0, 0, 0, 120, 0, 0, -48, 0, 0, 24, 0, 0, -12, 0, 0, 132, 0, 0, -648, 0, 0, 204, 0, 0, -36, 0, 0, -360, 0, 0, 240, 0, 0, -168, 0, 0, -312, 0, 0, 204, 0, 0, 228, 0, 0, -48, 0, 0, -72, 0, 0, 0, 0, 0, -504, 0, 0, 120, 0, 0, 216, 0, 0, 120, 0, 0, -108, 0, 0, 0, 0, 0, -24, 0, 0, 12, 0, 0, 120, 0, 0, 384, 0, 0, 132, 0, 0, -72, 0, 0, 0, 0, 0, -336, 0, 0, -72, 0, 0, 120, 0, 0, 228, 0, 0, -180, 0, 0, -264, 0, 0, 24, 0, 0, 36, 0, 0, 360, 0, 0, -48, 0, 0, 12, 0, 0, -264, 0, 0, -108, 0, 0, 0, 0, 0, -552, 0, 0, -216, 0, 0, -288, 0, 0, 456, 0, 0, 72, 0, 0, 120, 0, 0, 168, 0, 0, 192, 0, 0, -312, 0, 0, -240, 0, 0, -336, 0, 0, -132, 0, 0, 360, 0, 0, -12, 0, 0, 144, 0, 0, 192, 0, 0, 48, 0, 0, -276, 0, 0, -144, 0, 0, -36, 0, 0, -72, 0, 0, -72, 0, 0, -156, 0, 0, 156, 0, 0, -696, 0, 0, 96, 0, 0, 288, 0, 0, 72, 0, 0, 120, 0, 0, 180, 0, 0, 120, 0, 0, 0, 0, 0, 12, 0, 0, 432, 0, 0, -36, 0, 0, -72, 0, 0, 480, 0, 0, 240, 0, 0, 468, 0, 0, -72, 0, 0, 156, 0, 0, 0, 0, 0, 360, 0, 0, -84, 0, 0, 132, 0, 0, 528, 0, 0, -384, 0, 0, -36, 0, 0, 48, 0, 0, -96, 0, 0, -36, 0, 0, 552, 0, 0, 96, 0, 0, -36, 0, 0, 120, 0, 0, 180, 0, 0, -504, 0, 0, -216, 0, 0, -12, 0, 0, -180, 0, 0, -216, 0, 0, -132, 0, 0, 180, 0, 0, -72, 0, 0, -156, 0, 0, 12, 0, 0, 72, 0, 0, -60, 0, 0, 12, 0, 0, 96, 0, 0, -168, 0, 0, -48, 0, 0, -480, 0, 0, -72, 0, 0, 84, 0, 0, 48, 0, 0, -60, 0, 0, -48, 0, 0, -1008, 0, 0, -24, 0, 0, -504, 0, 0, 312, 0, 0, 204, 0, 0, -48, 0, 0, 288, 0, 0, -204, 0, 0, -84, 0, 0, -672, 0, 0, -84, 0, 0, -84, 0, 0, -432, 0, 0, 84, 0, 0, -156, 0, 0, 24, 0, 0, 60, 0, 0, -144, 0, 0, 696, 0, 0, -12, 0, 0, 240, 0, 0, 336, 0, 0, 192, 0, 0, 288, 0, 0, 240, 0, 0, -132, 0, 0, 96, 0, 0, 816, 0, 0, -12, 0, 0, 108, 0, 0, 312, 0, 0, -120, 0, 0, -168, 0, 0, -120, 0, 0, 276, 0, 0, -96, 0, 0, 408, 0, 0, 24, 0, 0, 288, 0, 0, 264, 0, 0, 120, 0, 0, 0, 0, 0, 456], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 387364
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 6, 'source_hecke_orbit': 13, 'source_is_minimal': False, 'source_label': '567.2.f.m', 'source_level': 567, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 5, 'target_is_minimal': True, 'target_label': '567.2.a.e', 'target_level': 567, 'twist_class_label': '567.2.a.e', 'twist_class_level': 567, 'twisting_char_label': '9.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 387365
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 6, 'source_hecke_orbit': 13, 'source_is_minimal': False, 'source_label': '567.2.f.m', 'source_level': 567, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 6, 'target_is_minimal': True, 'target_label': '567.2.a.f', 'target_level': 567, 'twist_class_label': '567.2.a.e', 'twist_class_level': 567, 'twisting_char_label': '9.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 387366
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 6, 'source_hecke_orbit': 13, 'source_is_minimal': False, 'source_label': '567.2.f.m', 'source_level': 567, 'target_char_orbit': 6, 'target_dim': 6, 'target_hecke_orbit': 12, 'target_is_minimal': False, 'target_label': '567.2.f.l', 'target_level': 567, 'twist_class_label': '567.2.a.e', 'twist_class_level': 567, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 387367
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 6, 'source_hecke_orbit': 13, 'source_is_minimal': False, 'source_label': '567.2.f.m', 'source_level': 567, 'target_char_orbit': 6, 'target_dim': 6, 'target_hecke_orbit': 12, 'target_is_minimal': False, 'target_label': '567.2.f.l', 'target_level': 567, 'twist_class_label': '567.2.a.e', 'twist_class_level': 567, 'twisting_char_label': '9.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 387368
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 6, 'source_dim': 6, 'source_hecke_orbit': 13, 'source_is_minimal': False, 'source_label': '567.2.f.m', 'source_level': 567, 'target_char_orbit': 6, 'target_dim': 6, 'target_hecke_orbit': 13, 'target_is_minimal': False, 'target_label': '567.2.f.m', 'target_level': 567, 'twist_class_label': '567.2.a.e', 'twist_class_level': 567, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 387369
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 6, 'source_hecke_orbit': 13, 'source_is_minimal': False, 'source_label': '567.2.f.m', 'source_level': 567, 'target_char_orbit': 6, 'target_dim': 6, 'target_hecke_orbit': 13, 'target_is_minimal': False, 'target_label': '567.2.f.m', 'target_level': 567, 'twist_class_label': '567.2.a.e', 'twist_class_level': 567, 'twisting_char_label': '9.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 387370
{'conductor': 63, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 6, 'source_hecke_orbit': 13, 'source_is_minimal': False, 'source_label': '567.2.f.m', 'source_level': 567, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 14, 'target_is_minimal': False, 'target_label': '3969.2.a.n', 'target_level': 3969, 'twist_class_label': '567.2.a.e', 'twist_class_level': 567, 'twisting_char_label': '63.o', 'twisting_char_orbit': 15, 'weight': 2}
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id: 387371
{'conductor': 63, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 6, 'source_hecke_orbit': 13, 'source_is_minimal': False, 'source_label': '567.2.f.m', 'source_level': 567, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 15, 'target_is_minimal': False, 'target_label': '3969.2.a.o', 'target_level': 3969, 'twist_class_label': '567.2.a.e', 'twist_class_level': 567, 'twisting_char_label': '63.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 387372
{'conductor': 36, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 6, 'source_hecke_orbit': 13, 'source_is_minimal': False, 'source_label': '567.2.f.m', 'source_level': 567, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 47, 'target_is_minimal': False, 'target_label': '9072.2.a.bu', 'target_level': 9072, 'twist_class_label': '567.2.a.e', 'twist_class_level': 567, 'twisting_char_label': '36.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 387373
{'conductor': 36, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 6, 'source_hecke_orbit': 13, 'source_is_minimal': False, 'source_label': '567.2.f.m', 'source_level': 567, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 54, 'target_is_minimal': False, 'target_label': '9072.2.a.cb', 'target_level': 9072, 'twist_class_label': '567.2.a.e', 'twist_class_level': 567, 'twisting_char_label': '36.h', 'twisting_char_orbit': 8, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 1056150
{'charpoly_factorization': [[[9, -18, 36, -6, 6, 0, 1], 1]], 'hecke_orbit_code': 54043539159384631, 'p': 2}
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id: 1056151
{'charpoly_factorization': [[[0, 1], 6]], 'hecke_orbit_code': 54043539159384631, 'p': 3}
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id: 1056152
{'charpoly_factorization': [[[144, -72, 72, -6, 15, -3, 1], 1]], 'hecke_orbit_code': 54043539159384631, 'p': 5}
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id: 1056153
{'charpoly_factorization': [[[1, 1, 1], 3]], 'hecke_orbit_code': 54043539159384631, 'p': 7}
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id: 1056154
{'charpoly_factorization': [[[36, 18, 45, -30, 33, -6, 1], 1]], 'hecke_orbit_code': 54043539159384631, 'p': 11}
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id: 1056155
{'charpoly_factorization': [[[12544, 4032, 1632, 116, 45, 3, 1], 1]], 'hecke_orbit_code': 54043539159384631, 'p': 13}
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id: 1056156
{'charpoly_factorization': [[[12, -24, 3, 1], 2]], 'hecke_orbit_code': 54043539159384631, 'p': 17}
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id: 1056157
{'charpoly_factorization': [[[-56, -48, 0, 1], 2]], 'hecke_orbit_code': 54043539159384631, 'p': 19}
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id: 1056158
{'charpoly_factorization': [[[9216, 2304, 1152, 48, 60, 6, 1], 1]], 'hecke_orbit_code': 54043539159384631, 'p': 23}
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id: 1056159
{'charpoly_factorization': [[[1296, 1296, 1188, 180, 45, -3, 1], 1]], 'hecke_orbit_code': 54043539159384631, 'p': 29}
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id: 1056160
{'charpoly_factorization': [[[4, 2, 1], 3]], 'hecke_orbit_code': 54043539159384631, 'p': 31}
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id: 1056161
{'charpoly_factorization': [[[-5, 1], 6]], 'hecke_orbit_code': 54043539159384631, 'p': 37}
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id: 1056162
{'charpoly_factorization': [[[5184, 0, 864, 144, 144, 12, 1], 1]], 'hecke_orbit_code': 54043539159384631, 'p': 41}
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id: 1056163
{'charpoly_factorization': [[[425104, 29340, 9849, 764, 189, 12, 1], 1]], 'hecke_orbit_code': 54043539159384631, 'p': 43}
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id: 1056164
{'charpoly_factorization': [[[576, 576, 576, 48, 24, 0, 1], 1]], 'hecke_orbit_code': 54043539159384631, 'p': 47}
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id: 1056165
{'charpoly_factorization': [[[-6, 21, 12, 1], 2]], 'hecke_orbit_code': 54043539159384631, 'p': 53}
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id: 1056166
{'charpoly_factorization': [[[304704, -6624, 10080, 1320, 312, 18, 1], 1]], 'hecke_orbit_code': 54043539159384631, 'p': 59}
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id: 1056167
{'charpoly_factorization': [[[35344, -14664, 6648, -142, 87, -3, 1], 1]], 'hecke_orbit_code': 54043539159384631, 'p': 61}
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id: 1056168
{'charpoly_factorization': [[[68644, 18078, 6333, 110, 105, 6, 1], 1]], 'hecke_orbit_code': 54043539159384631, 'p': 67}
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id: 1056169
{'charpoly_factorization': [[[108, -81, 0, 1], 2]], 'hecke_orbit_code': 54043539159384631, 'p': 71}
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id: 1056170
{'charpoly_factorization': [[[16, -12, -9, 1], 2]], 'hecke_orbit_code': 54043539159384631, 'p': 73}
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id: 1056171
{'charpoly_factorization': [[[68644, 18078, 6333, 110, 105, 6, 1], 1]], 'hecke_orbit_code': 54043539159384631, 'p': 79}
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id: 1056172
{'charpoly_factorization': [[[5184, 0, 864, -144, 144, -12, 1], 1]], 'hecke_orbit_code': 54043539159384631, 'p': 83}
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id: 1056173
{'charpoly_factorization': [[[-48, 48, 15, 1], 2]], 'hecke_orbit_code': 54043539159384631, 'p': 89}
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id: 1056174
{'charpoly_factorization': [[[33856, 0, 2208, 368, 144, 12, 1], 1]], 'hecke_orbit_code': 54043539159384631, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 6, 'hecke_orbit': 13, 'label': '567.2.f.m', 'level': 567, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 225402000
{'hecke_orbit_code': 54043539159384631, 'n': 1, 'trace_an': 6}
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id: 225402001
{'hecke_orbit_code': 54043539159384631, 'n': 2, 'trace_an': 0}
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id: 225402002
{'hecke_orbit_code': 54043539159384631, 'n': 3, 'trace_an': 0}
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id: 225402003
{'hecke_orbit_code': 54043539159384631, 'n': 4, 'trace_an': -6}
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id: 225402004
{'hecke_orbit_code': 54043539159384631, 'n': 5, 'trace_an': 3}
-
id: 225402005
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