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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, 'dim': 2, 'field_disc': -3, 'field_disc_factorization': [[-1, 1], [3, 1]], 'field_poly': [1, -1, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 6, 'has_non_self_twist': 1, 'hecke_cutters': [[2, [4, -2, 1]], [5, [1, -1, 1]]], 'hecke_orbit': 8, 'hecke_orbit_code': 31525541022532151, 'hecke_ring_generator_nbound': 5, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], '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_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '567.2.f.h', 'level': 567, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 7], 'level_radical': 21, 'minimal_twist': '189.2.a.a', 'nf_label': '2.0.3.1', 'prim_orbit_index': 3, 'qexp_display': 'q+(2-2\\zeta_{6})q^{2}-2\\zeta_{6}q^{4}+\\zeta_{6}q^{5}+(1+\\cdots)q^{7}+\\cdots', 'related_objects': [], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c3', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '567.2.f', 'trace_display': [2, 0, 1, 1], 'trace_hash': 1520696251993047078, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.025', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '12.070', 'prec': 20}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '109.514', 'prec': 24}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.012', 'prec': 17}, 'traces': [2, 2, 0, -2, 1, 0, 1, 0, 0, 4, 4, 0, 2, -2, 0, 4, 6, 0, -16, 2, 0, -8, 6, 0, 4, 8, 0, -4, 4, 0, -6, -8, 0, 6, 2, 0, -6, -16, 0, 0, -1, 0, -11, -16, 0, 24, -9, 0, -1, -8, 0, 4, 12, 0, 8, 0, 0, -8, 15, 0, -4, -24, 0, -16, -2, 0, 8, -6, 0, 2, -24, 0, 12, -6, 0, 16, -4, 0, 1, 8, 0, -4, 9, 0, 3, 22, 0, 0, 4, 0, 4, 12, 0, 18, -8, 0, -12, -4, 0, -16, -10, 0, -2, 0, 0, 12, 4, 0, -18, 8, 0, -4, -2, 0, -6, -16, 0, 60, 3, 0, -5, 8, 0, -12, 18, 0, -30, 0, 0, 4, 4, 0, -8, 32, 0, 0, 18, 0, 0, -2, 0, -24, 16, 0, 8, 12, 0, 6, -12, 0, -5, 0, 0, -16, 6, 0, 8, -2, 0, 8, 12, 0, -22, -2, 0, -18, -17, 0, 9, 12, 0, 44, -22, 0, -4, -16, 0, 4, -4, 0, 32, 4, 0, 0, -3, 0, 12, 36, 0, -32, -2, 0, 25, 24, 0, -2, -8, 0, -24, 0, 0, 20, -4, 0, 1, -8, 0, 16, -32, 0, -4, -12, 0, 4, -22, 0, -12, -18, 0, -8, 6, 0, 2, -16, 0, -8, 24, 0, 4, 12, 0, 0, 12, 0, 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mf_hecke_nf • Show schema
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{'an': [[1, 0], [2, -2], [0, 0], [0, -2], [0, 1], [0, 0], [1, -1], [0, 0], [0, 0], [2, 0], [4, -4], [0, 0], [0, 2], [0, -2], [0, 0], [4, -4], [3, 0], [0, 0], [-8, 0], [2, -2], [0, 0], [0, -8], [0, 6], [0, 0], [4, -4], [4, 0], [0, 0], [-2, 0], [4, -4], [0, 0], [0, -6], [0, -8], [0, 0], [6, -6], [1, 0], [0, 0], [-3, 0], [-16, 16], [0, 0], [0, 0], [0, -1], [0, 0], [-11, 11], [-8, 0], [0, 0], [12, 0], [-9, 9], [0, 0], [0, -1], [0, -8], [0, 0], [4, -4], [6, 0], [0, 0], [4, 0], [0, 0], [0, 0], [0, -8], [0, 15], [0, 0], [-4, 4], [-12, 0], [0, 0], [-8, 0], [-2, 2], [0, 0], [0, 8], [0, -6], [0, 0], [2, -2], [-12, 0], [0, 0], [6, 0], [-6, 6], [0, 0], [0, 16], [0, -4], [0, 0], [1, -1], [4, 0], [0, 0], [-2, 0], [9, -9], [0, 0], [0, 3], [0, 22], [0, 0], [0, 0], [2, 0], [0, 0], [2, 0], [12, -12], [0, 0], [0, 18], [0, -8], [0, 0], [-12, 12], [-2, 0], [0, 0], [-8, 0]], 'ap': [[2, -2], [0, 0], [0, 1], [1, -1], [4, -4], [0, 2], [3, 0], [-8, 0], [0, 6], [4, -4], [0, -6], [-3, 0], [0, -1], [-11, 11], [-9, 9], [6, 0], [0, 15], [-4, 4], [0, 8], [-12, 0], [6, 0], [1, -1], [9, -9], [2, 0], [-12, 12], [-10, 10], [0, -2], [2, 0], [-9, 0], [0, -2], [-15, 0], [0, 4], [18, -18], [0, 0], [0, -12], [-5, 5], [0, 8], [-11, 0], [0, -17], [-22, 22], [-2, 0], [16, 0], [-2, 2], [0, 25], [-4, 0], [-12, 0], [0, -4], [2, -2], [24, -24], [0, 4], [6, 0], [0, 18], [10, -10], [-25, 0], [0, -10], [-14, 14], [-21, 0], [-2, 0], [-13, 13], [-10, 10], [0, -28], [0, -1], [-2, 0], [0, 3], [16, -16], [18, -18], [1, -1], [0, -7], [0, 2], [20, -20], [25, -25], [34, 0], [30, -30], [0, 13], [-3, 0], [0, -21], [24, -24], [6, 0], [0, 0], [0, -32], [0, 33], [-14, 14], [24, 0], [-2, 0], [-24, 24], [24, -24], [-6, 0], [14, -14], [-1, 1], [0, 23], [12, 0], [17, -17], [16, 0], [0, 26], [0, -13], [21, 0], [0, 41], [15, 0], [-26, 0], [29, 0], [29, -29], [-4, 0], [0, 4], [-2, 2], [0, -11], [-20, 0], [-20, 20], [-33, 0], [0, -36], [18, -18], [0, -14], [-26, 0], [0, 6], [44, -44], [-19, 0], [-12, 12], [0, -26], [-8, 0], [0, 42], [-12, 12], [0, 14], [2, -2], [-30, 30], [42, 0], [-50, 50], [18, 0], [-15, 15], [33, 0], [4, -4], [0, 0], [12, 0], [0, -36], [0, -16], [23, 0], [0, 3], [0, -44], [49, 0], [0, 2], [0, -2], [-42, 0], [-46, 0], [8, -8], [0, 3], [-18, 0], [-16, 0], [55, -55], [-8, 8], [-17, 17], [0, -2], [6, 0], [0, -37], [30, 0], [41, 0], [0, -13], [-17, 17], [-12, 12], [-43, 0], [35, -35], [-12, 0], [0, 17], [-28, 28], [-2, 0], [0, -40], [-45, 0], [0, 12], [-21, 21], [11, 0], [-40, 40]], 'char_orbit_index': 6, 'field_poly': [1, -1, 1], 'hecke_orbit_code': 31525541022532151, 'hecke_ring_character_values': [[407, [0, -1]], [325, [1, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 2, 'label': '567.2.f.h', '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_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': 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: 387288
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 2, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '567.2.f.h', 'source_level': 567, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '189.2.a.a', 'target_level': 189, 'twist_class_label': '189.2.a.a', 'twist_class_level': 189, 'twisting_char_label': '9.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 387289
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 2, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '567.2.f.h', 'source_level': 567, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 4, 'target_is_minimal': True, 'target_label': '189.2.a.d', 'target_level': 189, 'twist_class_label': '189.2.a.a', 'twist_class_level': 189, 'twisting_char_label': '9.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 387290
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 2, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '567.2.f.h', 'source_level': 567, 'target_char_orbit': 6, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '567.2.f.a', 'target_level': 567, 'twist_class_label': '189.2.a.a', 'twist_class_level': 189, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 387291
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 2, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '567.2.f.h', 'source_level': 567, 'target_char_orbit': 6, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '567.2.f.a', 'target_level': 567, 'twist_class_label': '189.2.a.a', 'twist_class_level': 189, 'twisting_char_label': '9.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 387292
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 6, 'source_dim': 2, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '567.2.f.h', 'source_level': 567, 'target_char_orbit': 6, 'target_dim': 2, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '567.2.f.h', 'target_level': 567, 'twist_class_label': '189.2.a.a', 'twist_class_level': 189, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 387293
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 2, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '567.2.f.h', 'source_level': 567, 'target_char_orbit': 6, 'target_dim': 2, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '567.2.f.h', 'target_level': 567, 'twist_class_label': '189.2.a.a', 'twist_class_level': 189, 'twisting_char_label': '9.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 387294
{'conductor': 63, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 2, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '567.2.f.h', 'source_level': 567, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '1323.2.a.b', 'target_level': 1323, 'twist_class_label': '189.2.a.a', 'twist_class_level': 189, 'twisting_char_label': '63.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 387295
{'conductor': 63, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 2, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '567.2.f.h', 'source_level': 567, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 18, 'target_is_minimal': False, 'target_label': '1323.2.a.r', 'target_level': 1323, 'twist_class_label': '189.2.a.a', 'twist_class_level': 189, 'twisting_char_label': '63.o', 'twisting_char_orbit': 15, 'weight': 2}
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id: 387296
{'conductor': 36, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 2, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '567.2.f.h', 'source_level': 567, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 12, 'target_is_minimal': False, 'target_label': '3024.2.a.l', 'target_level': 3024, 'twist_class_label': '189.2.a.a', 'twist_class_level': 189, 'twisting_char_label': '36.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 387297
{'conductor': 36, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 2, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '567.2.f.h', 'source_level': 567, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 21, 'target_is_minimal': False, 'target_label': '3024.2.a.u', 'target_level': 3024, 'twist_class_label': '189.2.a.a', 'twist_class_level': 189, 'twisting_char_label': '36.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 387298
{'conductor': 45, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 2, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '567.2.f.h', 'source_level': 567, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '4725.2.a.c', 'target_level': 4725, 'twist_class_label': '189.2.a.a', 'twist_class_level': 189, 'twisting_char_label': '45.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 387299
{'conductor': 45, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 2, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '567.2.f.h', 'source_level': 567, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 19, 'target_is_minimal': False, 'target_label': '4725.2.a.s', 'target_level': 4725, 'twist_class_label': '189.2.a.a', 'twist_class_level': 189, 'twisting_char_label': '45.j', 'twisting_char_orbit': 10, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 1056000
{'charpoly_factorization': [[[4, -2, 1], 1]], 'hecke_orbit_code': 31525541022532151, 'p': 2}
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id: 1056001
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 31525541022532151, 'p': 3}
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id: 1056002
{'charpoly_factorization': [[[1, -1, 1], 1]], 'hecke_orbit_code': 31525541022532151, 'p': 5}
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id: 1056003
{'charpoly_factorization': [[[1, -1, 1], 1]], 'hecke_orbit_code': 31525541022532151, 'p': 7}
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id: 1056004
{'charpoly_factorization': [[[16, -4, 1], 1]], 'hecke_orbit_code': 31525541022532151, 'p': 11}
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id: 1056005
{'charpoly_factorization': [[[4, -2, 1], 1]], 'hecke_orbit_code': 31525541022532151, 'p': 13}
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id: 1056006
{'charpoly_factorization': [[[-3, 1], 2]], 'hecke_orbit_code': 31525541022532151, 'p': 17}
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id: 1056007
{'charpoly_factorization': [[[8, 1], 2]], 'hecke_orbit_code': 31525541022532151, 'p': 19}
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id: 1056008
{'charpoly_factorization': [[[36, -6, 1], 1]], 'hecke_orbit_code': 31525541022532151, 'p': 23}
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id: 1056009
{'charpoly_factorization': [[[16, -4, 1], 1]], 'hecke_orbit_code': 31525541022532151, 'p': 29}
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id: 1056010
{'charpoly_factorization': [[[36, 6, 1], 1]], 'hecke_orbit_code': 31525541022532151, 'p': 31}
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id: 1056011
{'charpoly_factorization': [[[3, 1], 2]], 'hecke_orbit_code': 31525541022532151, 'p': 37}
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id: 1056012
{'charpoly_factorization': [[[1, 1, 1], 1]], 'hecke_orbit_code': 31525541022532151, 'p': 41}
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id: 1056013
{'charpoly_factorization': [[[121, 11, 1], 1]], 'hecke_orbit_code': 31525541022532151, 'p': 43}
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id: 1056014
{'charpoly_factorization': [[[81, 9, 1], 1]], 'hecke_orbit_code': 31525541022532151, 'p': 47}
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id: 1056015
{'charpoly_factorization': [[[-6, 1], 2]], 'hecke_orbit_code': 31525541022532151, 'p': 53}
-
id: 1056016
{'charpoly_factorization': [[[225, -15, 1], 1]], 'hecke_orbit_code': 31525541022532151, 'p': 59}
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id: 1056017
{'charpoly_factorization': [[[16, 4, 1], 1]], 'hecke_orbit_code': 31525541022532151, 'p': 61}
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id: 1056018
{'charpoly_factorization': [[[64, -8, 1], 1]], 'hecke_orbit_code': 31525541022532151, 'p': 67}
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id: 1056019
{'charpoly_factorization': [[[12, 1], 2]], 'hecke_orbit_code': 31525541022532151, 'p': 71}
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id: 1056020
{'charpoly_factorization': [[[-6, 1], 2]], 'hecke_orbit_code': 31525541022532151, 'p': 73}
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id: 1056021
{'charpoly_factorization': [[[1, -1, 1], 1]], 'hecke_orbit_code': 31525541022532151, 'p': 79}
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id: 1056022
{'charpoly_factorization': [[[81, -9, 1], 1]], 'hecke_orbit_code': 31525541022532151, 'p': 83}
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id: 1056023
{'charpoly_factorization': [[[-2, 1], 2]], 'hecke_orbit_code': 31525541022532151, 'p': 89}
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id: 1056024
{'charpoly_factorization': [[[144, 12, 1], 1]], 'hecke_orbit_code': 31525541022532151, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 6, 'hecke_orbit': 8, 'label': '567.2.f.h', '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: 49945939
{'hecke_orbit_code': 31525541022532151, 'n': 1, 'trace_an': 2}
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id: 49945940
{'hecke_orbit_code': 31525541022532151, 'n': 2, 'trace_an': 2}
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id: 49945941
{'hecke_orbit_code': 31525541022532151, 'n': 3, 'trace_an': 0}
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id: 49945942
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{'hecke_orbit_code': 31525541022532151, 'n': 653, 'trace_an': 42}
-
id: 49946145
{'hecke_orbit_code': 31525541022532151, 'n': 659, 'trace_an': -12}
-
id: 49946146
{'hecke_orbit_code': 31525541022532151, 'n': 661, 'trace_an': 14}
-
id: 49946147
{'hecke_orbit_code': 31525541022532151, 'n': 673, 'trace_an': 2}
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id: 49946148
{'hecke_orbit_code': 31525541022532151, 'n': 677, 'trace_an': -30}
-
id: 49946149
{'hecke_orbit_code': 31525541022532151, 'n': 683, 'trace_an': 84}
-
id: 49946150
{'hecke_orbit_code': 31525541022532151, 'n': 691, 'trace_an': -50}
-
id: 49946151
{'hecke_orbit_code': 31525541022532151, 'n': 701, 'trace_an': 36}
-
id: 49946152
{'hecke_orbit_code': 31525541022532151, 'n': 709, 'trace_an': -15}
-
id: 49946153
{'hecke_orbit_code': 31525541022532151, 'n': 719, 'trace_an': 66}
-
id: 49946154
{'hecke_orbit_code': 31525541022532151, 'n': 727, 'trace_an': 4}
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id: 49946155
{'hecke_orbit_code': 31525541022532151, 'n': 729, 'trace_an': 0}
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id: 49946156
{'hecke_orbit_code': 31525541022532151, 'n': 733, 'trace_an': 0}
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id: 49946157
{'hecke_orbit_code': 31525541022532151, 'n': 739, 'trace_an': 24}
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id: 49946158
{'hecke_orbit_code': 31525541022532151, 'n': 743, 'trace_an': -36}
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id: 49946159
{'hecke_orbit_code': 31525541022532151, 'n': 751, 'trace_an': -16}
-
id: 49946160
{'hecke_orbit_code': 31525541022532151, 'n': 757, 'trace_an': 46}
-
id: 49946161
{'hecke_orbit_code': 31525541022532151, 'n': 761, 'trace_an': 3}
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id: 49946162
{'hecke_orbit_code': 31525541022532151, 'n': 769, 'trace_an': -44}
-
id: 49946163
{'hecke_orbit_code': 31525541022532151, 'n': 773, 'trace_an': 98}
-
id: 49946164
{'hecke_orbit_code': 31525541022532151, 'n': 787, 'trace_an': 2}
-
id: 49946165
{'hecke_orbit_code': 31525541022532151, 'n': 797, 'trace_an': -2}
-
id: 49946166
{'hecke_orbit_code': 31525541022532151, 'n': 809, 'trace_an': -84}
-
id: 49946167
{'hecke_orbit_code': 31525541022532151, 'n': 811, 'trace_an': -92}
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id: 49946168
{'hecke_orbit_code': 31525541022532151, 'n': 821, 'trace_an': 8}
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id: 49946169
{'hecke_orbit_code': 31525541022532151, 'n': 823, 'trace_an': 3}
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id: 49946170
{'hecke_orbit_code': 31525541022532151, 'n': 827, 'trace_an': -36}
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id: 49946171
{'hecke_orbit_code': 31525541022532151, 'n': 829, 'trace_an': -32}
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id: 49946172
{'hecke_orbit_code': 31525541022532151, 'n': 839, 'trace_an': 55}
-
id: 49946173
{'hecke_orbit_code': 31525541022532151, 'n': 841, 'trace_an': 13}
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id: 49946174
{'hecke_orbit_code': 31525541022532151, 'n': 853, 'trace_an': -8}
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id: 49946175
{'hecke_orbit_code': 31525541022532151, 'n': 857, 'trace_an': -17}
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id: 49946176
{'hecke_orbit_code': 31525541022532151, 'n': 859, 'trace_an': -2}
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id: 49946177
{'hecke_orbit_code': 31525541022532151, 'n': 863, 'trace_an': 12}
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id: 49946178
{'hecke_orbit_code': 31525541022532151, 'n': 877, 'trace_an': -37}
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id: 49946179
{'hecke_orbit_code': 31525541022532151, 'n': 881, 'trace_an': 60}
-
id: 49946180
{'hecke_orbit_code': 31525541022532151, 'n': 883, 'trace_an': 82}
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id: 49946181
{'hecke_orbit_code': 31525541022532151, 'n': 887, 'trace_an': -13}
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id: 49946182
{'hecke_orbit_code': 31525541022532151, 'n': 907, 'trace_an': -17}
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id: 49946183
{'hecke_orbit_code': 31525541022532151, 'n': 911, 'trace_an': -12}
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id: 49946184
{'hecke_orbit_code': 31525541022532151, 'n': 919, 'trace_an': -86}
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id: 49946185
{'hecke_orbit_code': 31525541022532151, 'n': 929, 'trace_an': 35}
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id: 49946186
{'hecke_orbit_code': 31525541022532151, 'n': 937, 'trace_an': -24}
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id: 49946187
{'hecke_orbit_code': 31525541022532151, 'n': 941, 'trace_an': 17}
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id: 49946188
{'hecke_orbit_code': 31525541022532151, 'n': 947, 'trace_an': -28}
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id: 49946189
{'hecke_orbit_code': 31525541022532151, 'n': 953, 'trace_an': -4}
-
id: 49946190
{'hecke_orbit_code': 31525541022532151, 'n': 961, 'trace_an': -5}
-
id: 49946191
{'hecke_orbit_code': 31525541022532151, 'n': 967, 'trace_an': -40}
-
id: 49946192
{'hecke_orbit_code': 31525541022532151, 'n': 971, 'trace_an': -90}
-
id: 49946193
{'hecke_orbit_code': 31525541022532151, 'n': 977, 'trace_an': 12}
-
id: 49946194
{'hecke_orbit_code': 31525541022532151, 'n': 983, 'trace_an': -21}
-
id: 49946195
{'hecke_orbit_code': 31525541022532151, 'n': 991, 'trace_an': 22}
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id: 49946196
{'hecke_orbit_code': 31525541022532151, 'n': 997, 'trace_an': -40}