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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': 63, 'char_degree': 2, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 7, 'char_orbit_label': 'g', 'char_order': 3, 'char_parity': 1, 'char_values': [567, 3, [407, 325], [1, 2]], 'cm_discs': [], 'conrey_index': 109, 'dim': 8, 'field_disc': 1767277521, 'field_disc_factorization': [[3, 10], [173, 2]], 'field_poly': [7, -38, 64, -40, 38, -10, 1, -2, 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, 54, 30, 39, 6, 7, 1, 1]], [13, [49, -140, 400, -70, 107, -40, 25, -5, 1]]], 'hecke_orbit': 10, 'hecke_orbit_code': 40532808996749879, 'hecke_ring_generator_nbound': 4, '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, 63, 7, 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': True, 'label': '567.2.g.j', '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': '567.2.e.c', 'nf_label': '8.0.1767277521.3', 'prim_orbit_index': 7, 'qexp_display': 'q+(-\\beta _{2}-\\beta _{6})q^{2}+(-\\beta _{5}+\\beta _{7})q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 4, 'rm_discs': [], 'sato_tate_group': '1.2.3.c3', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '567.2.g', 'trace_display': [-1, 0, 4, -2], 'trace_hash': 1772800927375075022, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '7.489', 'prec': 17}, {'__RealLiteral__': 0, 'data': 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mf_hecke_nf • Show schema
Hide schema
{'an': [[1, 0, 0, 0, 0, 0, 0, 0], [0, 0, -1, 0, 0, 0, -1, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, -1, 0, 1], [1, -1, -1, -1, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, -1, -1, 1, 0, 0, 0], [-1, 0, 1, 1, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [1, 2, 1, 0, 2, -1, 1, 2], [1, 1, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [1, 1, 0, 0, 0, -1, 0, 1], [2, 2, 0, 1, 0, -3, 0, 1], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 1, 0, -1, 0, 1, 0], [-1, -2, 0, 0, 1, 1, 0, -2], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, -1, 1, 2, -1, 1], [0, 0, 0, 2, -2, 1, -3, -1], [0, 0, 0, 0, 0, 0, 0, 0], [3, -2, -3, 0, -3, -3, -3, -2], [-3, -1, 1, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [1, 1, 3, 0, 0, 0, 0, 0], [0, 0, 0, 1, -1, -1, -3, 0], [0, 0, 0, 0, 0, 0, 0, 0], [2, -1, -1, 1, -1, -3, -4, -1], [0, 0, 0, 0, 0, 3, 0, 2], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, -1, 1, 5, 2, 0], [0, 0, 0, 1, -1, 2, -2, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, -1, 1, 1, 5, -1], [1, 2, 1, 0, 2, 2, -1, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 2, 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6, -3, 6, 8], [0, 0, 0, -9, 9, -8, 6, 3], [4, -2, 6, 17, 0, 0, 0, 0], [5, -15, -9, 0, 0, 0, 0, 0], [0, 0, 0, 5, -5, -17, -9, -8], [21, -3, 1, -4, 0, 0, 0, 0], [-15, -12, -3, 9, 0, 0, 0, 0], [2, -12, -12, 0, 0, 0, 0, 0], [-7, 8, 9, -2, 0, 0, 0, 0], [-7, -6, 12, -12, 0, 0, 0, 0], [0, 0, 0, 8, -8, -8, 2, -1], [0, 0, 0, -3, 3, 22, 18, 12], [-24, -3, -7, 0, 0, 24, -7, -3], [12, 2, -2, 11, 0, 0, 0, 0], [0, 0, 0, 7, -7, -10, 0, 3], [-3, -18, -4, 0, -3, 3, -4, -18], [20, 0, 14, 4, 0, 0, 0, 0], [-14, 1, 6, 0, 12, 14, 6, 1], [0, 0, 0, -7, 7, -8, -15, -2], [0, 0, 0, 2, -2, 4, -8, -9], [3, -11, -10, -9, 0, 0, 0, 0], [10, -6, -3, 0, -9, -10, -3, -6], [9, 12, 1, 14, 0, 0, 0, 0]], 'char_orbit_index': 7, 'field_poly': [7, -38, 64, -40, 38, -10, 1, -2, 1], 'hecke_orbit_code': 40532808996749879, 'hecke_ring_character_values': [[407, [-1, 0, 0, 0, 0, 1, 0, 0]], [325, [0, 0, 0, 0, 0, -1, 0, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 8102, 8102, 8102, 8102, 4051, 8102, 8102], 'hecke_ring_inverse_denominators': [1, 3, 3, 1, 3, 3, 1, 3], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0, 0, 0, 0, 0], [2, -1, -1, -1, 2, -1, 1, 1], [2, -4, -4, 2, -1, -1, -5, -5], [6, 1, 3, 1, 2, -6, 1, -1], [1, -17, -17, -23, 16, -38, 5, -7], [-17, -8, -14, 4, -14, -11, -70, -70], [7, 46, 50, -16, 35, -60, 37, 17], [-565, -97, -283, -301, -7, -22, -38, -44]], 'hecke_ring_numerators': [[1, 0, 0, 0, 0, 0, 0, 0], [23150, -10595, 17846, -6480, -193, -619, 688, -14], [-21668, 13756, -23147, 8788, -716, 957, -743, 74], [-2218, -9416, 15724, -5887, 688, -648, 465, -139], [14432, -52069, 36565, -43953, 11731, -262, 2176, -1269], [18369, -49196, 25443, -33224, 9308, -288, 1557, -962], [88979, -241837, 128118, -149399, 42410, -2449, 7290, -4270], [-98045, 265634, -139939, 167278, -47477, 2087, -8118, 4805]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 8, 'label': '567.2.g.j', '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': 63, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 7, 'char_orbit_label': 'g', 'char_order': 3, 'char_parity': 1, 'char_values': [567, 3, [407, 325], [1, 2]], 'conrey_index': 109, 'cusp_dim': 120, 'dim': 60, 'eis_dim': 48, 'eis_new_dim': 8, 'hecke_cutter_primes': [2, 13], 'hecke_orbit_code': 412350415415, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 4, 6, 6, 8, 8, 16], 'label': '567.2.g', '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': 68, 'num_forms': 12, 'prim_orbit_index': 7, 'relative_dim': 30, 'sturm_bound': 144, 'trace_bound': 7, 'trace_display': [0, 0, 0, -3], 'traces': [60, 0, 0, -30, 0, 0, -3, 0, 0, 6, 0, 0, 9, 0, 0, -30, 0, 0, -12, 0, 0, 0, 0, 0, 48, 0, 0, -12, 0, 0, 18, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 24, 0, 0, -6, 0, 0, -27, 0, 0, -36, 0, 0, -48, 0, 0, -48, 0, 0, -15, 0, 0, 48, 0, 0, -3, 0, 0, -30, 0, 0, 0, 0, 0, -48, 0, 0, 45, 0, 0, -6, 0, 0, 6, 0, 0, 36, 0, 0, -51, 0, 0, 30, 0, 0, 9, 0, 0, -12, 0, 0, 126, 0, 0, -30, 0, 0, 48, 0, 0, 150, 0, 0, -36, 0, 0, -180, 0, 0, 0, 0, 0, 60, 0, 0, -96, 0, 0, 30, 0, 0, -57, 0, 0, -48, 0, 0, -9, 0, 0, 6, 0, 0, 12, 0, 0, -30, 0, 0, -66, 0, 0, 78, 0, 0, -126, 0, 0, -6, 0, 0, -15, 0, 0, 36, 0, 0, 21, 0, 0, 36, 0, 0, -63, 0, 0, 96, 0, 0, 204, 0, 0, 108, 0, 0, 24, 0, 0, 132, 0, 0, -81, 0, 0, -72, 0, 0, 69, 0, 0, 138, 0, 0, -126, 0, 0, -162, 0, 0, 51, 0, 0, 156, 0, 0, -27, 0, 0, 66, 0, 0, -24, 0, 0, 108, 0, 0, -204, 0, 0, 102, 0, 0, -6, 0, 0, -168, 0, 0, -294, 0, 0, 96, 0, 0, 6, 0, 0, 48, 0, 0, 204, 0, 0, 102, 0, 0, 102, 0, 0, -264, 0, 0, -204, 0, 0, 156, 0, 0, -3, 0, 0, 24, 0, 0, -60, 0, 0, -318, 0, 0, 90, 0, 0, 120, 0, 0, -66, 0, 0, -276, 0, 0, -12, 0, 0, 78, 0, 0, 141, 0, 0, 108, 0, 0, -120, 0, 0, -108, 0, 0, 48, 0, 0, -240, 0, 0, 18, 0, 0, -216, 0, 0, -3, 0, 0, 54, 0, 0, -24, 0, 0, 66, 0, 0, -6, 0, 0, -384, 0, 0, 66, 0, 0, -180, 0, 0, 21, 0, 0, 24, 0, 0, 96, 0, 0, 114, 0, 0, -6, 0, 0, 30, 0, 0, 132, 0, 0, 756, 0, 0, 276, 0, 0, 0, 0, 0, -54, 0, 0, 12, 0, 0, 174, 0, 0, 300, 0, 0, 54, 0, 0, -174, 0, 0, 66, 0, 0, 180, 0, 0, 390, 0, 0, 168, 0, 0, -27, 0, 0, -192, 0, 0, 102, 0, 0, -180, 0, 0, -90, 0, 0, -18, 0, 0, -147, 0, 0, -384, 0, 0, -132, 0, 0, -444, 0, 0, 42, 0, 0, 204, 0, 0, 6, 0, 0, 252, 0, 0, -174, 0, 0, 42, 0, 0, 144, 0, 0, 120, 0, 0, -78, 0, 0, 0, 0, 0, -222, 0, 0, 192, 0, 0, -120, 0, 0, -126, 0, 0, 378, 0, 0, -66, 0, 0, -90, 0, 0, 114, 0, 0, 240, 0, 0, -540, 0, 0, 60, 0, 0, -192, 0, 0, -180, 0, 0, 114, 0, 0, 30, 0, 0, 48, 0, 0, -36, 0, 0, -150, 0, 0, -39, 0, 0, -306, 0, 0, -276, 0, 0, 276, 0, 0, -72, 0, 0, 144, 0, 0, -114, 0, 0, 60, 0, 0, -123, 0, 0, -306, 0, 0, 117, 0, 0, 756, 0, 0, -102, 0, 0, 612, 0, 0, 42, 0, 0, -384, 0, 0, -30, 0, 0, -366, 0, 0, 153, 0, 0, 330, 0, 0, -30, 0, 0, -378, 0, 0, -54, 0, 0, 96, 0, 0, -30, 0, 0, 306, 0, 0, 216, 0, 0, 294, 0, 0, -36, 0, 0, -6, 0, 0, -51, 0, 0, -546, 0, 0, -438, 0, 0, -144, 0, 0, -324, 0, 0, -126, 0, 0, 162, 0, 0, -54, 0, 0, -174, 0, 0, -150, 0, 0, -270, 0, 0, 408, 0, 0, 84, 0, 0, -156, 0, 0, 12, 0, 0, -156, 0, 0, 108, 0, 0, -192, 0, 0, -138, 0, 0, 144, 0, 0, -102, 0, 0, 12, 0, 0, 381, 0, 0, -120, 0, 0, -384, 0, 0, -384, 0, 0, 114, 0, 0, -72, 0, 0, 54, 0, 0, 366, 0, 0, -9, 0, 0, 126, 0, 0, 51, 0, 0, 210, 0, 0, 150, 0, 0, -24, 0, 0, 513, 0, 0, -450, 0, 0, 108, 0, 0, -48, 0, 0, -24, 0, 0, 102, 0, 0, 96, 0, 0, -138, 0, 0, 288, 0, 0, 636, 0, 0, 228, 0, 0, -96, 0, 0, 354, 0, 0, -342, 0, 0, 174, 0, 0, 366, 0, 0, 144, 0, 0, -360, 0, 0, 0, 0, 0, 330, 0, 0, 216, 0, 0, 234, 0, 0, 123, 0, 0, -96, 0, 0, 222, 0, 0, 120, 0, 0, 258, 0, 0, 162, 0, 0, -180, 0, 0, -912, 0, 0, 168, 0, 0, -276, 0, 0, -228, 0, 0, 168, 0, 0, -21, 0, 0, 252, 0, 0, -180, 0, 0, -372, 0, 0, 144, 0, 0, -96, 0, 0, 120, 0, 0, -132, 0, 0, -393, 0, 0, -54, 0, 0, 54, 0, 0, -276, 0, 0, -78, 0, 0, -324, 0, 0, 252, 0, 0, 246, 0, 0, 450, 0, 0, -168, 0, 0, -30, 0, 0, -198, 0, 0, -564, 0, 0, 60, 0, 0, -453, 0, 0, -6, 0, 0, 126, 0, 0, -120, 0, 0, 78, 0, 0, -150, 0, 0, -90, 0, 0, 210, 0, 0, -576, 0, 0, 378, 0, 0, 48, 0, 0, -204, 0, 0, -147, 0, 0, -132, 0, 0, 354, 0, 0, 576, 0, 0, 438, 0, 0, 1188, 0, 0, 24, 0, 0, -276, 0, 0, 9, 0, 0, 270, 0, 0, 336, 0, 0, -270, 0, 0, -138, 0, 0, 504, 0, 0, 87, 0, 0, 672, 0, 0, 183, 0, 0, 234, 0, 0, -306, 0, 0, -12, 0, 0, -588, 0, 0, -120, 0, 0, 81, 0, 0, -348, 0, 0, -384, 0, 0, 48], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 387596
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 8, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '567.2.g.j', 'source_level': 567, 'target_char_orbit': 5, 'target_dim': 8, 'target_hecke_orbit': 3, 'target_is_minimal': True, 'target_label': '567.2.e.c', 'target_level': 567, 'twist_class_label': '567.2.e.c', 'twist_class_level': 567, 'twisting_char_label': '9.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 387597
{'conductor': 63, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 8, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '567.2.g.j', 'source_level': 567, 'target_char_orbit': 5, 'target_dim': 8, 'target_hecke_orbit': 3, 'target_is_minimal': True, 'target_label': '567.2.e.c', 'target_level': 567, 'twist_class_label': '567.2.e.c', 'twist_class_level': 567, 'twisting_char_label': '63.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 387598
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 8, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '567.2.g.j', 'source_level': 567, 'target_char_orbit': 5, 'target_dim': 8, 'target_hecke_orbit': 4, 'target_is_minimal': True, 'target_label': '567.2.e.d', 'target_level': 567, 'twist_class_label': '567.2.e.c', 'twist_class_level': 567, 'twisting_char_label': '9.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 387599
{'conductor': 63, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 8, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '567.2.g.j', 'source_level': 567, 'target_char_orbit': 5, 'target_dim': 8, 'target_hecke_orbit': 4, 'target_is_minimal': True, 'target_label': '567.2.e.d', 'target_level': 567, 'twist_class_label': '567.2.e.c', 'twist_class_level': 567, 'twisting_char_label': '63.j', 'twisting_char_orbit': 10, 'weight': 2}
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id: 387600
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 7, 'source_dim': 8, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '567.2.g.j', 'source_level': 567, 'target_char_orbit': 7, 'target_dim': 8, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '567.2.g.j', 'target_level': 567, 'twist_class_label': '567.2.e.c', 'twist_class_level': 567, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 387601
{'conductor': 63, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 8, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '567.2.g.j', 'source_level': 567, 'target_char_orbit': 7, 'target_dim': 8, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '567.2.g.j', 'target_level': 567, 'twist_class_label': '567.2.e.c', 'twist_class_level': 567, 'twisting_char_label': '63.g', 'twisting_char_orbit': 7, 'weight': 2}
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id: 387602
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 8, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '567.2.g.j', 'source_level': 567, 'target_char_orbit': 7, 'target_dim': 8, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '567.2.g.k', 'target_level': 567, 'twist_class_label': '567.2.e.c', 'twist_class_level': 567, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 387603
{'conductor': 63, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 8, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '567.2.g.j', 'source_level': 567, 'target_char_orbit': 7, 'target_dim': 8, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '567.2.g.k', 'target_level': 567, 'twist_class_label': '567.2.e.c', 'twist_class_level': 567, 'twisting_char_label': '63.n', 'twisting_char_orbit': 14, 'weight': 2}
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id: 387604
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 8, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '567.2.g.j', 'source_level': 567, 'target_char_orbit': 8, 'target_dim': 8, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '567.2.h.j', 'target_level': 567, 'twist_class_label': '567.2.e.c', 'twist_class_level': 567, 'twisting_char_label': '9.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 387605
{'conductor': 21, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 8, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '567.2.g.j', 'source_level': 567, 'target_char_orbit': 8, 'target_dim': 8, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '567.2.h.j', 'target_level': 567, 'twist_class_label': '567.2.e.c', 'twist_class_level': 567, 'twisting_char_label': '21.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 387606
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 8, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '567.2.g.j', 'source_level': 567, 'target_char_orbit': 8, 'target_dim': 8, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '567.2.h.k', 'target_level': 567, 'twist_class_label': '567.2.e.c', 'twist_class_level': 567, 'twisting_char_label': '7.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 387607
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 8, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '567.2.g.j', 'source_level': 567, 'target_char_orbit': 8, 'target_dim': 8, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '567.2.h.k', 'target_level': 567, 'twist_class_label': '567.2.e.c', 'twist_class_level': 567, 'twisting_char_label': '9.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 387608
{'conductor': 63, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 8, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '567.2.g.j', 'source_level': 567, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 19, 'target_is_minimal': False, 'target_label': '3969.2.a.s', 'target_level': 3969, 'twist_class_label': '567.2.e.c', 'twist_class_level': 567, 'twisting_char_label': '63.n', 'twisting_char_orbit': 14, 'weight': 2}
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id: 387609
{'conductor': 63, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 8, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '567.2.g.j', 'source_level': 567, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 20, 'target_is_minimal': False, 'target_label': '3969.2.a.t', 'target_level': 3969, 'twist_class_label': '567.2.e.c', 'twist_class_level': 567, 'twisting_char_label': '63.s', 'twisting_char_orbit': 19, 'weight': 2}
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id: 387610
{'conductor': 63, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 8, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '567.2.g.j', 'source_level': 567, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 23, 'target_is_minimal': False, 'target_label': '3969.2.a.w', 'target_level': 3969, 'twist_class_label': '567.2.e.c', 'twist_class_level': 567, 'twisting_char_label': '63.k', 'twisting_char_orbit': 11, 'weight': 2}
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id: 387611
{'conductor': 63, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 8, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '567.2.g.j', 'source_level': 567, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 24, 'target_is_minimal': False, 'target_label': '3969.2.a.x', 'target_level': 3969, 'twist_class_label': '567.2.e.c', 'twist_class_level': 567, 'twisting_char_label': '63.g', 'twisting_char_orbit': 7, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 1056450
{'charpoly_factorization': [[[9, -18, 54, 30, 39, 6, 7, 1, 1], 1]], 'hecke_orbit_code': 40532808996749879, 'p': 2}
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id: 1056451
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 40532808996749879, 'p': 3}
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id: 1056452
{'charpoly_factorization': [[[-21, 33, -12, -2, 1], 2]], 'hecke_orbit_code': 40532808996749879, 'p': 5}
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id: 1056453
{'charpoly_factorization': [[[2401, 686, 49, -98, -85, -14, 1, 2, 1], 1]], 'hecke_orbit_code': 40532808996749879, 'p': 7}
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id: 1056454
{'charpoly_factorization': [[[-249, 174, -24, -5, 1], 2]], 'hecke_orbit_code': 40532808996749879, 'p': 11}
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id: 1056455
{'charpoly_factorization': [[[49, -140, 400, -70, 107, -40, 25, -5, 1], 1]], 'hecke_orbit_code': 40532808996749879, 'p': 13}
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id: 1056456
{'charpoly_factorization': [[[321489, 200718, 99801, 22734, 4716, 438, 81, 6, 1], 1]], 'hecke_orbit_code': 40532808996749879, 'p': 17}
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id: 1056457
{'charpoly_factorization': [[[2401, -2303, 2209, -784, 425, -94, 64, -8, 1], 1]], 'hecke_orbit_code': 40532808996749879, 'p': 19}
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id: 1056458
{'charpoly_factorization': [[[9, 33, 36, 12, 1], 2]], 'hecke_orbit_code': 40532808996749879, 'p': 23}
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id: 1056459
{'charpoly_factorization': [[[3969, 5670, 8100, 1260, 837, -180, 100, -10, 1], 1]], 'hecke_orbit_code': 40532808996749879, 'p': 29}
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id: 1056460
{'charpoly_factorization': [[[441, 2856, 20449, -13404, 6222, -1402, 231, -18, 1], 1]], 'hecke_orbit_code': 40532808996749879, 'p': 31}
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id: 1056461
{'charpoly_factorization': [[[904401, -35187, 75547, 2886, 5133, 74, 78, 0, 1], 1]], 'hecke_orbit_code': 40532808996749879, 'p': 37}
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id: 1056462
{'charpoly_factorization': [[[194481, 55566, 47628, -4662, 5373, 108, 97, -5, 1], 1]], 'hecke_orbit_code': 40532808996749879, 'p': 41}
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id: 1056463
{'charpoly_factorization': [[[2401, 8624, 32446, -4594, 2083, -142, 79, -7, 1], 1]], 'hecke_orbit_code': 40532808996749879, 'p': 43}
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id: 1056464
{'charpoly_factorization': [[[194481, -197127, 132336, -49869, 13581, -2319, 288, -21, 1], 1]], 'hecke_orbit_code': 40532808996749879, 'p': 47}
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id: 1056465
{'charpoly_factorization': [[[6561, -8505, 11025, -1944, 1341, -210, 144, -12, 1], 1]], 'hecke_orbit_code': 40532808996749879, 'p': 53}
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id: 1056466
{'charpoly_factorization': [[[35721, -37989, 60813, 19440, 12681, -246, 144, 6, 1], 1]], 'hecke_orbit_code': 40532808996749879, 'p': 59}
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id: 1056467
{'charpoly_factorization': [[[1087849, 677950, 394339, 59270, 12686, -1840, 373, -20, 1], 1]], 'hecke_orbit_code': 40532808996749879, 'p': 61}
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id: 1056468
{'charpoly_factorization': [[[124609, 26122, 30892, -1798, 5201, 212, 97, -5, 1], 1]], 'hecke_orbit_code': 40532808996749879, 'p': 67}
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id: 1056469
{'charpoly_factorization': [[[243, -135, -27, 9, 1], 2]], 'hecke_orbit_code': 40532808996749879, 'p': 71}
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id: 1056470
{'charpoly_factorization': [[[5239521, -167097, 348679, 38418, 19773, 1046, 186, -6, 1], 1]], 'hecke_orbit_code': 40532808996749879, 'p': 73}
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id: 1056471
{'charpoly_factorization': [[[49, 35, 613, -280, 7099, 830, 184, -10, 1], 1]], 'hecke_orbit_code': 40532808996749879, 'p': 79}
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id: 1056472
{'charpoly_factorization': [[[26040609, 8726130, 2281122, 307314, 36369, 2286, 207, 9, 1], 1]], 'hecke_orbit_code': 40532808996749879, 'p': 83}
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id: 1056473
{'charpoly_factorization': [[[441, 1071, 4995, -6738, 11895, -2406, 370, -22, 1], 1]], 'hecke_orbit_code': 40532808996749879, 'p': 89}
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id: 1056474
{'charpoly_factorization': [[[8277129, 7065912, 6774202, -581862, 85791, -2590, 339, -9, 1], 1]], 'hecke_orbit_code': 40532808996749879, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 7, 'hecke_orbit': 10, 'label': '567.2.g.j', '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: 53922493
{'hecke_orbit_code': 40532808996749879, 'n': 1, 'trace_an': 8}
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id: 53922494
{'hecke_orbit_code': 40532808996749879, 'n': 2, 'trace_an': -1}
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id: 53922495
{'hecke_orbit_code': 40532808996749879, 'n': 3, 'trace_an': 0}
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id: 53922496
{'hecke_orbit_code': 40532808996749879, 'n': 4, 'trace_an': -5}
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id: 53922497
{'hecke_orbit_code': 40532808996749879, 'n': 5, 'trace_an': 4}
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id: 53922498
{'hecke_orbit_code': 40532808996749879, 'n': 6, 'trace_an': 0}
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id: 53922499
{'hecke_orbit_code': 40532808996749879, 'n': 7, 'trace_an': -2}
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id: 53922500
{'hecke_orbit_code': 40532808996749879, 'n': 8, 'trace_an': -6}
-
id: 53922501
{'hecke_orbit_code': 40532808996749879, 'n': 9, 'trace_an': 0}
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id: 53922502
{'hecke_orbit_code': 40532808996749879, 'n': 10, 'trace_an': 7}
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id: 53922503
{'hecke_orbit_code': 40532808996749879, 'n': 11, 'trace_an': 10}
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id: 53922504
{'hecke_orbit_code': 40532808996749879, 'n': 12, 'trace_an': 0}
-
id: 53922505
{'hecke_orbit_code': 40532808996749879, 'n': 13, 'trace_an': 5}
-
id: 53922506
{'hecke_orbit_code': 40532808996749879, 'n': 14, 'trace_an': 7}
-
id: 53922507
{'hecke_orbit_code': 40532808996749879, 'n': 15, 'trace_an': 0}
-
id: 53922508
{'hecke_orbit_code': 40532808996749879, 'n': 16, 'trace_an': 1}
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id: 53922509
{'hecke_orbit_code': 40532808996749879, 'n': 17, 'trace_an': -6}
-
id: 53922510
{'hecke_orbit_code': 40532808996749879, 'n': 18, 'trace_an': 0}
-
id: 53922511
{'hecke_orbit_code': 40532808996749879, 'n': 19, 'trace_an': 8}
-
id: 53922512
{'hecke_orbit_code': 40532808996749879, 'n': 20, 'trace_an': 8}
-
id: 53922513
{'hecke_orbit_code': 40532808996749879, 'n': 21, 'trace_an': 0}
-
id: 53922514
{'hecke_orbit_code': 40532808996749879, 'n': 22, 'trace_an': 7}
-
id: 53922515
{'hecke_orbit_code': 40532808996749879, 'n': 23, 'trace_an': -24}
-
id: 53922516
{'hecke_orbit_code': 40532808996749879, 'n': 24, 'trace_an': 0}
-
id: 53922517
{'hecke_orbit_code': 40532808996749879, 'n': 25, 'trace_an': 16}
-
id: 53922518
{'hecke_orbit_code': 40532808996749879, 'n': 26, 'trace_an': -1}
-
id: 53922519
{'hecke_orbit_code': 40532808996749879, 'n': 27, 'trace_an': 0}
-
id: 53922520
{'hecke_orbit_code': 40532808996749879, 'n': 28, 'trace_an': 5}
-
id: 53922521
{'hecke_orbit_code': 40532808996749879, 'n': 29, 'trace_an': 10}
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id: 53922522
{'hecke_orbit_code': 40532808996749879, 'n': 30, 'trace_an': 0}
-
id: 53922523
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id: 53922750
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