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mf_newforms • Show schema
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{'Nk2': 656, 'analytic_conductor': 1.3095465931489982, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 41, 'char_degree': 4, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 7, 'char_orbit_label': 'g', 'char_order': 5, 'char_parity': 1, 'char_values': [164, 5, [83, 129], [5, 4]], 'cm_discs': [], 'conrey_index': 37, 'dim': 16, 'field_disc': 61208909860789482666015625, 'field_disc_factorization': [[5, 12], [11, 4], [541, 2], [7649, 2]], 'field_poly': [4096, 4096, 6656, 5440, 6992, 1168, 2736, -1066, 1627, 255, 374, -61, 65, -19, 14, -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': [], 'hecke_orbit': 1, 'hecke_orbit_code': 412350415012, 'hecke_ring_generator_nbound': 7, '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, 41, 4, 1, 5, 0]], 'is_cm': False, 'is_largest': True, 'is_maximal': True, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '164.2.g.a', 'level': 164, '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': [2, 41], 'level_radical': 82, 'minimal_twist': '164.2.g.a', 'prim_orbit_index': 4, 'qexp_display': 'q+\\beta _{2}q^{3}+(\\beta _{3}+\\beta _{4}-\\beta _{6}+\\beta _{7}-\\beta _{9}+\\cdots)q^{5}+\\cdots', 'related_objects': [], 'relative_dim': 4, 'rm_discs': [], 'sato_tate_group': '1.2.3.c5', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '164.2.g', 'trace_display': [0, -2, -4, 0], 'trace_hash': 1241343060911923184, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '15.842', 'prec': 20}, {'__RealLiteral__': 0, 'data': '11.295', 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mf_hecke_nf • Show schema
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{'an': [[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 1, 1, 0, -1, 1, 0, -1, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, -1, -1, 1, 0, -1, -1, 1, 0, -1, 1, -1, -1, 1, 0, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 1, 0, 0, 0, 0, -1, 0, 0, -1, -1, 0, 0, 0, -1, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, -1, 0, 0, -1, 0, 2, 0, 1, 1, 1, 0, -1, 0, 1, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, -1, 0, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, -1, -1, 0, 0, -1, 1, 0, -1, 1, 1, -1, 0, 0, 1, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-1, 0, -1, -1, -1, 0, 0, 0, 0, 0, -1, 1, 0, 0, -1, -1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 1, 1, 0, 1, -1, 1, 1, -1, -1, 0, -1, 1, 0, 0], [0, 0, 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8], [1, 0, 3, 0, 0, 0, -4, 0, 3, -3, -3, -2, 0, 0, -3, 0], [9, -1, 0, 0, 8, 11, -7, 0, 5, -8, 1, 4, 0, 0, 1, 1], [2, 0, -7, 2, -6, -7, -11, -5, 0, 11, 0, 0, 5, 2, 0, 0], [-6, 0, -2, 0, 0, 0, 4, -14, 0, 14, 0, 0, 10, 10, -2, -3], [-11, 4, 0, 1, -6, 1, -4, 6, 0, -6, -1, 3, -1, -5, -3, 0], [-16, -2, -4, -7, -7, -2, 27, -7, -4, 11, 4, -6, 0, 0, 4, 0], [4, -8, -3, 1, 5, -8, -6, 1, 1, -2, 3, -1, 0, 4, -1, 0], [-9, 4, 0, -9, -6, 0, -5, -1, -1, 7, 0, 4, 1, -9, 0, -4], [6, -9, -4, 4, -3, -5, 8, 0, -3, -1, 5, -8, 5, 0, 5, 5], [9, 5, 9, 2, 4, 5, -11, 2, 0, -2, -9, 5, 0, 2, 0, 0], [-4, 2, 6, 0, 0, 0, 8, 0, 0, 2, -2, 0, -6, -6, 4, -1], [10, 1, 2, 0, -3, 1, -6, 0, -4, 4, -2, 1, 0, -5, 4, 0], [1, -7, 0, -1, 6, -7, 0, 4, -2, 8, 5, 1, 1, -5, -1, -2], [0, -4, -6, 0, 1, -6, 9, 6, -7, -7, 2, -4, -6, 0, 0, 4], [13, -3, 0, 2, 13, -6, -3, 2, 2, -17, 8, 1, -2, 0, -1, 2], [9, 1, 0, 4, 0, 11, -1, 0, 1, -10, -1, 2, -4, 0, -1, -1], [9, 4, 0, -5, 6, 14, 0, -8, 5, 0, -9, 5, 5, 3, -5, 5], [16, -3, -4, 0, 7, -12, -8, 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-4, 3, 0, -3, -5, 0], [0, 13, 4, 0, 0, 0, -5, 12, 0, -5, -13, 0, 0, 0, -1, -8], [-2, -6, -7, -6, -9, -9, 8, 0, -8, 1, -1, -7, -7, 0, -1, -1], [11, -5, -6, 0, 0, 0, 7, -7, 0, 9, 5, 0, 2, 2, -6, 2], [-11, 5, 0, -11, -6, 7, 10, -6, -1, 8, -8, 1, 11, -5, -1, -1], [-17, 1, 0, 6, -10, -9, -5, 13, -7, -8, 2, -1, -6, -7, 1, -7], [0, 3, -2, -2, -9, 3, 4, -2, -2, 4, 2, -9, 0, 3, 2, 0], [2, 15, 7, 2, 9, 6, -17, 0, -1, -10, -8, 7, 13, 0, -8, -8], [-10, 6, -3, 2, -13, 0, 4, 0, -9, 1, -9, 0, 5, 0, -9, -9], [-15, -5, 0, -5, -20, 1, 7, -10, -3, 17, -4, -2, 5, 5, 2, -3], [7, 5, 3, 7, 6, 3, 1, 1, -3, -7, -8, 5, -1, 7, 0, -5], [6, 2, 8, 0, 0, 0, -1, -6, 0, 1, -2, 0, 2, 2, -3, -2], [1, 1, 4, 1, 12, 4, -1, -3, 7, -9, 9, 1, 3, 1, 0, -1], [5, 8, 0, -2, 9, 1, 2, 2, -4, -12, -5, 0, 2, -4, 0, -4]], 'char_orbit_index': 7, 'field_poly': [4096, 4096, 6656, 5440, 6992, 1168, 2736, -1066, 1627, 255, 374, -61, 65, -19, 14, -3, 1], 'hecke_orbit_code': 412350415012, 'hecke_ring_character_values': [[83, [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]], [129, [0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 16388215406308141762626304, 16388215406308141762626304, 32776430812616283525252608, 4097053851577035440656576, 16388215406308141762626304, 65552861625232567050505216, 16388215406308141762626304, 65552861625232567050505216, 16388215406308141762626304, 8194107703154070881313152, 65552861625232567050505216, 2979675528419662138659328, 65552861625232567050505216, 4097053851577035440656576], 'hecke_ring_inverse_denominators': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 4, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0], [-2, 0, 0, 0, 2, 7, -2, 0, 1, 2, 0, 1, 2, 0, 0, 0], [0, 0, 12, 0, -2, 12, -24, -2, 9, 4, -3, 0, 2, 0, 0, 0], [30, 16, 58, 0, 0, 0, -33, -18, 0, -33, -16, 0, 0, 0, -3, -14], [64, 7, 0, 6, 36, -121, -8, -22, -76, -218, 45, 2, -6, 28, -2, -76], [-336, -468, -513, 4, -128, -468, 481, 4, -149, 145, 513, -91, 0, 152, 149, 0], [-2168, -1828, -1163, -298, -1690, -493, 2355, 0, 49, 2833, 665, -616, 116, 0, 665, 665], [-1330, -1461, 699, -1330, -4750, 699, 2168, -98, 786, 4848, -3249, -1461, 98, -1330, 0, 1461], [17490, 11805, 7742, 0, 0, 0, -10186, 1350, 0, -13108, -11805, 0, -2922, -2922, -6040, -797], [47220, 44322, 0, 12080, 45626, -9289, -26010, 10486, -9314, -67464, -25, 13930, -12080, 1594, -13930, -9314], [-46388, 18983, -84895, 27860, 130800, 18983, 29411, 27860, -10883, -16977, 84895, 45494, 0, 18628, 10883, 0], [-452334, -216816, -113293, -21766, -15056, 310038, 118579, 0, 131738, 555857, 103523, 28215, 112754, 0, 103523, 103523], [-207046, -135059, 982577, -207046, -716648, 982577, -713200, -263476, 536085, 980124, -769352, -135059, 263476, -207046, 0, 135059], [4419696, 2555679, 4090176, 0, 0, 0, -4239713, -802052, 0, -4509831, -2555679, 0, -270118, 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mf_newspaces • Show schema
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{'Nk2': 656, 'analytic_conductor': 1.3095465931489982, 'char_conductor': 41, 'char_degree': 4, 'char_is_real': False, 'char_orbit_index': 7, 'char_orbit_label': 'g', 'char_order': 5, 'char_parity': 1, 'char_values': [164, 5, [83, 129], [5, 4]], 'conrey_index': 37, 'cusp_dim': 72, 'dim': 16, 'eis_dim': 24, 'eis_new_dim': 0, 'hecke_cutter_primes': [], 'hecke_orbit_code': 412350415012, 'hecke_orbit_dims': [16], 'label': '164.2.g', 'level': 164, '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': [2, 41], 'level_radical': 82, 'mf_dim': 96, 'mf_new_dim': 16, 'num_forms': 1, 'prim_orbit_index': 4, 'relative_dim': 4, 'sturm_bound': 42, 'trace_bound': 0, 'trace_display': [0, -2, -4, 0], 'traces': [16, 0, -2, 0, -4, 0, 0, 0, 18, 0, 1, 0, 0, 0, 0, 0, -1, 0, 9, 0, -15, 0, -18, 0, -22, 0, 10, 0, 4, 0, 3, 0, -15, 0, 1, 0, 4, 0, 4, 0, -36, 0, -4, 0, -24, 0, -19, 0, -16, 0, -51, 0, -19, 0, 42, 0, 16, 0, -32, 0, 6, 0, 50, 0, 16, 0, 47, 0, 38, 0, -3, 0, 42, 0, -15, 0, -33, 0, 18, 0, -8, 0, 52, 0, 58, 0, -34, 0, 16, 0, 84, 0, 88, 0, 16, 0, 34, 0, -98, 0, 22, 0, 9, 0, -80, 0, -36, 0, 0, 0, -38, 0, -12, 0, 12, 0, 1, 0, 61, 0, 47, 0, -43, 0, -68, 0, -3, 0, -20, 0, -50, 0, -54, 0, -88, 0, -18, 0, -25, 0, -99, 0, -14, 0, 58, 0, 11, 0, 29, 0, 19, 0, 9, 0, 22, 0, -54, 0, -23, 0, 6, 0, -82, 0, 132, 0, 46, 0, -58, 0, 6, 0, 138, 0, 76, 0, 32, 0, 49, 0, -56, 0, 32, 0, -8, 0, -94, 0, -124, 0, 12, 0, -57, 0, 45, 0, -13, 0, -6, 0, 69, 0, 30, 0, -116, 0, -50, 0, -114, 0, -98, 0, -79, 0, -107, 0, -73, 0, 80, 0, 50, 0, -19, 0, 78, 0, 115, 0, 41, 0, 208, 0, 40, 0, 52, 0, 174, 0, 38, 0, -9, 0, 118, 0, -22, 0, 16, 0, 70, 0, -76, 0, 32, 0, 98, 0, 94, 0, 10, 0, 57, 0, -71, 0, 28, 0, -7, 0, -56, 0, -86, 0, -6, 0, 72, 0, 15, 0, 65, 0, -3, 0, -5, 0, 86, 0, -175, 0, -9, 0, -57, 0, -33, 0, -57, 0, -92, 0, -23, 0, -52, 0, -18, 0, -163, 0, -20, 0, 33, 0, 30, 0, 35, 0, 44, 0, -7, 0, 8, 0, -50, 0, -46, 0, 70, 0, -120, 0, 296, 0, 80, 0, -127, 0, 16, 0, 20, 0, 33, 0, -15, 0, -12, 0, -53, 0, 48, 0, 15, 0, -164, 0, -111, 0, -128, 0, -56, 0, -59, 0, -73, 0, -65, 0, 23, 0, 25, 0, -138, 0, -146, 0, 1, 0, -115, 0, -77, 0, -140, 0, -15, 0, 216, 0, 12, 0, 27, 0, -34, 0, -1, 0, 119, 0, 40, 0, -22, 0, 131, 0, 120, 0, 27, 0, -11, 0, 68, 0, -52, 0, 102, 0, 104, 0, -41, 0, 85, 0, 188, 0, 20, 0, 107, 0, 27, 0, -171, 0, -5, 0, 15, 0, -65, 0, -27, 0, 164, 0, -87, 0, 46, 0, 53, 0, 24, 0, 146, 0, -49, 0, 64, 0, -38, 0, -60, 0, -15, 0, -38, 0, 0, 0, -78, 0, -120, 0, -26, 0, -92, 0, 46, 0, 80, 0, -24, 0, -59, 0, -51, 0, 16, 0, 6, 0, -9, 0, 25, 0, -12, 0, 184, 0, 40, 0, 80, 0, 81, 0, -21, 0, -114, 0, 94, 0, -3, 0, 31, 0, 98, 0, 117, 0, 18, 0, 37, 0, -58, 0, -86, 0, 17, 0, 92, 0, -119, 0, -5, 0, 30, 0, 105, 0, -180, 0, -27, 0, -16, 0, -75, 0, 24, 0, -120, 0, 30, 0, 112, 0, 9, 0, 34, 0, 129, 0, 107, 0, 81, 0, 185, 0, 39, 0, -113, 0, 230, 0, -13, 0, -111, 0, -70, 0, -148, 0, -116, 0, 18, 0, -98, 0, 18, 0, -10, 0, 52, 0, -100, 0, 81, 0, -122, 0, -174, 0, -22, 0, -22, 0, 55, 0, 132, 0, 27, 0, -58, 0, 96, 0, -10, 0, -66, 0, 67, 0, 75, 0, -45, 0, 97, 0, 37, 0, -194, 0, 49, 0, -70, 0, -92, 0, 13, 0, -27, 0, -130, 0, -51, 0, -121, 0, -100, 0, 53, 0, -28, 0, -236, 0, -102, 0, -60, 0, 30, 0, -116, 0, 26, 0, -50, 0, 29, 0, -89, 0, 42, 0, -23, 0, 42, 0, -168, 0, 28, 0, -26, 0, 55, 0, 3, 0, -110, 0, -126, 0, -90, 0, -97, 0, -3, 0, -101, 0, 48, 0, -149, 0, 136, 0, 75, 0, -154, 0, 15, 0, 124, 0, 20, 0, -5, 0, 110, 0, 61, 0, 129, 0, 37, 0, -38, 0, -99, 0, 52, 0, 54, 0, 101, 0, 84, 0, 147, 0, 72, 0, -4, 0, 50, 0, -22, 0, -88, 0, 158, 0, -27, 0, 36, 0, 44, 0, 74, 0, 111, 0, 30, 0, -22, 0, 70, 0, 61, 0, 158, 0, 18, 0, 233, 0, 72, 0, 125, 0, 71, 0, 62, 0, 41, 0, -9, 0, 146, 0, 157, 0, 173, 0, 165, 0, 188, 0, 37, 0, -260, 0, -101, 0, -160, 0, 6, 0, -203, 0, -40, 0, -127, 0, -45, 0, -165, 0, -144, 0, -49, 0, -1, 0, -48, 0, 142, 0, 206, 0, -108, 0, -10, 0, 21, 0, -130, 0, -156, 0, -164, 0, 30, 0, 154, 0, 150, 0, -80, 0, 102, 0, 30, 0, -24, 0, -120, 0, -103, 0, -146, 0, 8, 0, -133, 0, 64, 0, 205, 0, -18, 0, 72, 0, -178, 0, -80, 0, 74, 0, 73, 0, 368, 0, 104, 0, 231, 0, -128, 0, 101, 0, -2, 0, -53, 0, -44, 0, -48, 0, -138, 0, -13, 0, 70, 0, -130, 0, 88, 0, -420, 0, 60, 0, -13, 0, 14, 0, 178, 0, -123, 0, 25, 0, -85, 0, 12, 0, 84, 0, -93, 0, 41, 0, 79, 0, 174, 0, 118, 0, 224, 0, 39, 0, -13, 0, -153, 0, -146, 0, 83, 0, 116, 0, 48, 0, 96, 0, 182, 0, 42, 0, 48, 0, -330, 0, -78, 0, 41, 0, -54, 0, -53, 0, 24, 0, -159, 0, -159, 0, 85, 0, -358, 0, 37, 0, 114, 0, -166, 0, 64, 0, -168, 0, -334, 0, 123, 0, -84, 0, -382, 0, 6, 0, 95, 0, -170, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 138342
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 7, 'source_dim': 16, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '164.2.g.a', 'source_level': 164, 'target_char_orbit': 7, 'target_dim': 16, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '164.2.g.a', 'target_level': 164, 'twist_class_label': '164.2.g.a', 'twist_class_level': 164, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 138343
{'conductor': 41, 'degree': 4, 'multiplicity': 1, 'order': 5, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 16, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '164.2.g.a', 'source_level': 164, 'target_char_orbit': 7, 'target_dim': 16, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '164.2.g.a', 'target_level': 164, 'twist_class_label': '164.2.g.a', 'twist_class_level': 164, 'twisting_char_label': '41.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 138344
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 16, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '164.2.g.a', 'source_level': 164, 'target_char_orbit': 21, 'target_dim': 16, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '656.2.u.g', 'target_level': 656, 'twist_class_label': '164.2.g.a', 'twist_class_level': 164, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 138345
{'conductor': 164, 'degree': 4, 'multiplicity': 1, 'order': 10, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 16, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '164.2.g.a', 'source_level': 164, 'target_char_orbit': 21, 'target_dim': 16, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '656.2.u.g', 'target_level': 656, 'twist_class_label': '164.2.g.a', 'twist_class_level': 164, 'twisting_char_label': '164.j', 'twisting_char_orbit': 10, 'weight': 2}
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id: 138346
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 16, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '164.2.g.a', 'source_level': 164, 'target_char_orbit': 14, 'target_dim': 16, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '1476.2.n.f', 'target_level': 1476, 'twist_class_label': '164.2.g.a', 'twist_class_level': 164, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 138347
{'conductor': 123, 'degree': 4, 'multiplicity': 1, 'order': 10, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 16, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '164.2.g.a', 'source_level': 164, 'target_char_orbit': 14, 'target_dim': 16, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '1476.2.n.f', 'target_level': 1476, 'twist_class_label': '164.2.g.a', 'twist_class_level': 164, 'twisting_char_label': '123.k', 'twisting_char_orbit': 11, 'weight': 2}
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id: 138348
{'conductor': 41, 'degree': 4, 'multiplicity': 1, 'order': 5, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 16, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '164.2.g.a', 'source_level': 164, 'target_char_orbit': 1, 'target_dim': 8, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '6724.2.a.f', 'target_level': 6724, 'twist_class_label': '164.2.g.a', 'twist_class_level': 164, 'twisting_char_label': '41.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 138349
{'conductor': 41, 'degree': 4, 'multiplicity': 1, 'order': 10, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 16, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '164.2.g.a', 'source_level': 164, 'target_char_orbit': 1, 'target_dim': 8, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '6724.2.a.g', 'target_level': 6724, 'twist_class_label': '164.2.g.a', 'twist_class_level': 164, 'twisting_char_label': '41.f', 'twisting_char_orbit': 6, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 428800
{'charpoly_factorization': [[[0, 1], 16]], 'hecke_orbit_code': 412350415012, 'p': 2}
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id: 428801
{'charpoly_factorization': [[[64, -48, -116, 58, 73, -16, -16, 1, 1], 2]], 'hecke_orbit_code': 412350415012, 'p': 3}
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id: 428802
{'charpoly_factorization': [[[361, 2394, 6773, 5636, 12750, 10990, 7969, 3182, 2021, 1932, 1939, 1078, 428, 114, 29, 4, 1], 1]], 'hecke_orbit_code': 412350415012, 'p': 5}
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id: 428803
{'charpoly_factorization': [[[70627216, -10067992, 10681548, -196254, 5106443, 697579, 1499453, 158368, 234120, 12409, 13307, 446, 546, 4, 22, 0, 1], 1]], 'hecke_orbit_code': 412350415012, 'p': 7}
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id: 428804
{'charpoly_factorization': [[[56610576, -43699392, 63188136, -31601130, 24254461, -8806336, 3922785, -710791, 101652, 30983, 14720, -2123, 706, 45, -1, -1, 1], 1]], 'hecke_orbit_code': 412350415012, 'p': 11}
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id: 428805
{'charpoly_factorization': [[[51854401, -164312418, 218005389, -80506752, 52854792, -21657186, 7458557, -1211658, 600821, -66054, 23699, -2670, 1436, -102, 55, 0, 1], 1]], 'hecke_orbit_code': 412350415012, 'p': 13}
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id: 428806
{'charpoly_factorization': [[[571162201, 567840240, 408895124, 253798003, 144241353, 56788824, 19463639, 5865656, 1555999, 261729, 45598, 6635, 1252, 77, 39, 1, 1], 1]], 'hecke_orbit_code': 412350415012, 'p': 17}
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id: 428807
{'charpoly_factorization': [[[16, -3016, 1531772, 5179926, 6252913, -2197564, -62512, 302611, 272919, -226270, 113935, -30488, 6107, -855, 115, -9, 1], 1]], 'hecke_orbit_code': 412350415012, 'p': 19}
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id: 428808
{'charpoly_factorization': [[[2085136, -1481544, 3784724, -347282, 1435759, 831639, 374576, 149546, 139505, 31636, 9207, 8513, 4935, 1239, 193, 18, 1], 1]], 'hecke_orbit_code': 412350415012, 'p': 23}
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id: 428809
{'charpoly_factorization': [[[496576656, 471306600, -59799780, -501156726, 833604481, -520159380, 258222561, -57664282, 16691881, -2992256, 490493, -30338, 4422, 116, 106, -4, 1], 1]], 'hecke_orbit_code': 412350415012, 'p': 29}
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id: 428810
{'charpoly_factorization': [[[149426176, 913768448, 2393019392, 2471113728, 1366247680, 407644160, 153399616, 28332736, 8188416, 992624, 217936, 15204, 3353, 8, 46, -3, 1], 1]], 'hecke_orbit_code': 412350415012, 'p': 31}
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id: 428811
{'charpoly_factorization': [[[12245414281, -22581518176, 43567753517, -31579570912, 13021772827, -3514392560, 784459378, -155214924, 26359915, -3281196, 426378, -44320, 5042, -368, 72, -4, 1], 1]], 'hecke_orbit_code': 412350415012, 'p': 37}
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id: 428812
{'charpoly_factorization': [[[7984925229121, 7011153859716, 2945064629420, 815048374035, 174617900995, 32700809028, 5875839683, 1033194465, 169571570, 25199865, 3495443, 474468, 61795, 7035, 620, 36, 1], 1]], 'hecke_orbit_code': 412350415012, 'p': 41}
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id: 428813
{'charpoly_factorization': [[[4846320462096, -2645500864176, 1387035850680, -353797481802, 79149291547, -11111899461, 1979473600, -130164534, 30213271, 460966, 501041, -31883, 8511, 311, 49, 4, 1], 1]], 'hecke_orbit_code': 412350415012, 'p': 43}
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id: 428814
{'charpoly_factorization': [[[163989361936, -42419950912, 359050210920, 262952394230, 137976445533, 47380402032, 12492455369, 2666173005, 488673114, 69014059, 7031878, 449091, 16552, 461, 153, 19, 1], 1]], 'hecke_orbit_code': 412350415012, 'p': 47}
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id: 428815
{'charpoly_factorization': [[[1437601, 7319895, 19806490, 23212431, 22002321, -31657395, 24638241, 4005642, 3117086, 1813006, 636423, 113758, 19507, 2724, 301, 19, 1], 1]], 'hecke_orbit_code': 412350415012, 'p': 53}
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id: 428816
{'charpoly_factorization': [[[5102466570496, 2081940736064, -157367973456, -338485125068, 289778426789, 4435791101, 17850474276, 1684148394, 548660575, 64747254, 9350167, 1058437, 105835, 7811, 593, 32, 1], 1]], 'hecke_orbit_code': 412350415012, 'p': 59}
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id: 428817
{'charpoly_factorization': [[[31680796081, -213305482346, 3525860940899, -1000376586374, 947167408946, 60535025232, 2728781891, -94768894, 225492111, -8588114, 993415, 68544, 19742, -1242, 115, -6, 1], 1]], 'hecke_orbit_code': 412350415012, 'p': 61}
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id: 428818
{'charpoly_factorization': [[[145057936, -1723135080, 8367851440, -10039880868, 8225945441, -4599760930, 1947015924, -638816071, 173959111, -38878692, 7504107, -1190484, 153847, -15243, 1079, -47, 1], 1]], 'hecke_orbit_code': 412350415012, 'p': 67}
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id: 428819
{'charpoly_factorization': [[[4570171737616, -2748487356544, 8428550606640, 2626333991906, 258150742539, -73542460117, 16935513951, -713077478, 384548996, -9343401, 2827289, -13841, 25514, -598, 235, 3, 1], 1]], 'hecke_orbit_code': 412350415012, 'p': 71}
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id: 428820
{'charpoly_factorization': [[[-44, 1144, -8921, 20334, -10090, 1579, 19, -21, 1], 2]], 'hecke_orbit_code': 412350415012, 'p': 73}
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id: 428821
{'charpoly_factorization': [[[25344, 79872, 27124, -59998, 2627, 2256, -206, -9, 1], 2]], 'hecke_orbit_code': 412350415012, 'p': 79}
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id: 428822
{'charpoly_factorization': [[[-99584, -315232, 231436, -17254, -13593, 2212, 79, -26, 1], 2]], 'hecke_orbit_code': 412350415012, 'p': 83}
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id: 428823
{'charpoly_factorization': [[[680080651662736, 149758975396824, -11010152655180, -12091034421882, 5867433429907, -939109336791, 135381020800, -9650706164, 1069375591, -85860244, 13666031, -1212563, 126001, -6949, 529, -16, 1], 1]], 'hecke_orbit_code': 412350415012, 'p': 89}
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id: 428824
{'charpoly_factorization': [[[2868566481, 9561888270, 23003322705, 27083679414, 15623096236, -6765675400, 3113530671, -589331832, 86618031, -7042716, 1236383, -325568, 75852, -9194, 721, -34, 1], 1]], 'hecke_orbit_code': 412350415012, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 7, 'hecke_orbit': 1, 'label': '164.2.g.a', 'level': 164, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 8754006
{'hecke_orbit_code': 412350415012, 'n': 1, 'trace_an': 16}
-
id: 8754007
{'hecke_orbit_code': 412350415012, 'n': 2, 'trace_an': 0}
-
id: 8754008
{'hecke_orbit_code': 412350415012, 'n': 3, 'trace_an': -2}
-
id: 8754009
{'hecke_orbit_code': 412350415012, 'n': 4, 'trace_an': 0}
-
id: 8754010
{'hecke_orbit_code': 412350415012, 'n': 5, 'trace_an': -4}
-
id: 8754011
{'hecke_orbit_code': 412350415012, 'n': 6, 'trace_an': 0}
-
id: 8754012
{'hecke_orbit_code': 412350415012, 'n': 7, 'trace_an': 0}
-
id: 8754013
{'hecke_orbit_code': 412350415012, 'n': 8, 'trace_an': 0}
-
id: 8754014
{'hecke_orbit_code': 412350415012, 'n': 9, 'trace_an': 18}
-
id: 8754015
{'hecke_orbit_code': 412350415012, 'n': 10, 'trace_an': 0}
-
id: 8754016
{'hecke_orbit_code': 412350415012, 'n': 11, 'trace_an': 1}
-
id: 8754017
{'hecke_orbit_code': 412350415012, 'n': 12, 'trace_an': 0}
-
id: 8754018
{'hecke_orbit_code': 412350415012, 'n': 13, 'trace_an': 0}
-
id: 8754019
{'hecke_orbit_code': 412350415012, 'n': 14, 'trace_an': 0}
-
id: 8754020
{'hecke_orbit_code': 412350415012, 'n': 15, 'trace_an': 0}
-
id: 8754021
{'hecke_orbit_code': 412350415012, 'n': 16, 'trace_an': 0}
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id: 8754022
{'hecke_orbit_code': 412350415012, 'n': 17, 'trace_an': -1}
-
id: 8754023
{'hecke_orbit_code': 412350415012, 'n': 18, 'trace_an': 0}
-
id: 8754024
{'hecke_orbit_code': 412350415012, 'n': 19, 'trace_an': 9}
-
id: 8754025
{'hecke_orbit_code': 412350415012, 'n': 20, 'trace_an': 0}
-
id: 8754026
{'hecke_orbit_code': 412350415012, 'n': 21, 'trace_an': -15}
-
id: 8754027
{'hecke_orbit_code': 412350415012, 'n': 22, 'trace_an': 0}
-
id: 8754028
{'hecke_orbit_code': 412350415012, 'n': 23, 'trace_an': -18}
-
id: 8754029
{'hecke_orbit_code': 412350415012, 'n': 24, 'trace_an': 0}
-
id: 8754030
{'hecke_orbit_code': 412350415012, 'n': 25, 'trace_an': -22}
-
id: 8754031
{'hecke_orbit_code': 412350415012, 'n': 26, 'trace_an': 0}
-
id: 8754032
{'hecke_orbit_code': 412350415012, 'n': 27, 'trace_an': 10}
-
id: 8754033
{'hecke_orbit_code': 412350415012, 'n': 28, 'trace_an': 0}
-
id: 8754034
{'hecke_orbit_code': 412350415012, 'n': 29, 'trace_an': 4}
-
id: 8754035
{'hecke_orbit_code': 412350415012, 'n': 30, 'trace_an': 0}
-
id: 8754036
{'hecke_orbit_code': 412350415012, 'n': 31, 'trace_an': 3}
-
id: 8754037
{'hecke_orbit_code': 412350415012, 'n': 32, 'trace_an': 0}
-
id: 8754038
{'hecke_orbit_code': 412350415012, 'n': 33, 'trace_an': -15}
-
id: 8754039
{'hecke_orbit_code': 412350415012, 'n': 34, 'trace_an': 0}
-
id: 8754040
{'hecke_orbit_code': 412350415012, 'n': 35, 'trace_an': 1}
-
id: 8754041
{'hecke_orbit_code': 412350415012, 'n': 36, 'trace_an': 0}
-
id: 8754042
{'hecke_orbit_code': 412350415012, 'n': 37, 'trace_an': 4}
-
id: 8754043
{'hecke_orbit_code': 412350415012, 'n': 38, 'trace_an': 0}
-
id: 8754044
{'hecke_orbit_code': 412350415012, 'n': 39, 'trace_an': 4}
-
id: 8754045
{'hecke_orbit_code': 412350415012, 'n': 40, 'trace_an': 0}
-
id: 8754046
{'hecke_orbit_code': 412350415012, 'n': 41, 'trace_an': -36}
-
id: 8754047
{'hecke_orbit_code': 412350415012, 'n': 42, 'trace_an': 0}
-
id: 8754048
{'hecke_orbit_code': 412350415012, 'n': 43, 'trace_an': -4}
-
id: 8754049
{'hecke_orbit_code': 412350415012, 'n': 44, 'trace_an': 0}
-
id: 8754050
{'hecke_orbit_code': 412350415012, 'n': 45, 'trace_an': -24}
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