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mf_newforms • Show schema
Hide schema
{'Nk2': 300, 'analytic_conductor': 0.5988780151596029, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 25, 'char_degree': 4, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 9, 'char_orbit_label': 'i', 'char_order': 10, 'char_parity': 1, 'char_values': [75, 10, [26, 52], [10, 1]], 'cm_discs': [], 'conrey_index': 4, 'conrey_indexes': [4, 19, 34, 64], 'dim': 16, 'field_disc': 29637136000000000000, 'field_disc_factorization': [[2, 16], [5, 12], [1361, 2]], 'field_poly': [1, 0, 130, 0, 761, 0, 1440, 0, 1286, 0, 610, 0, 156, 0, 20, 0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'has_non_self_twist': 1, 'hecke_cutters': [], 'hecke_orbit': 1, 'hecke_orbit_code': 549789368395, 'hecke_ring_generator_nbound': 3, '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, 25, 5, 1, 10, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '75.2.i.a', 'level': 75, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 5], 'level_radical': 15, 'minimal_twist': '75.2.i.a', 'prim_orbit_index': 5, 'qexp_display': 'q+(-1-\\beta _{2}-\\beta _{4}+\\beta _{6}-\\beta _{7}-\\beta _{8}+\\cdots)q^{2}+\\cdots', 'related_objects': [], 'relative_dim': 4, 'rm_discs': [], 'sato_tate_group': '1.2.3.c10', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '75.2.i', 'trace_display': [0, 0, 0, 0], 'trace_hash': 1436062254330632991, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.003', 'prec': 17}, {'__RealLiteral__': 0, 'data': '15.245', 'prec': 20}, {'__RealLiteral__': 0, 'data': '0.232', 'prec': 17}, {'__RealLiteral__': 0, 'data': '797.934', 'prec': 24}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '67345.984', 'prec': 30}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.125', 'prec': 17}, 'traces': [16, 0, 0, 2, 0, 2, 0, -30, 4, 0, -6, 0, 0, -12, 0, -10, 10, 0, -2, 20, 4, -30, -20, 24, -10, 12, 0, 30, 16, -20, 6, 0, 10, -36, 10, -2, -10, 30, -8, 10, -14, -10, 0, 26, 0, 16, 40, 0, 0, 20, -32, 40, 10, -2, 10, 0, 0, 10, 12, -30, 0, -10, -10, 8, -70, 16, -40, 0, -12, 30, -8, -30, -20, -52, 0, -32, -40, 0, -20, 0, -4, 0, 10, 12, -20, -36, 40, -40, 18, 30, 26, 10, 0, -38, -40, -26, 40, 60, -4, 20, 24, 60, -30, 8, 40, -4, 0, 20, 58, 50, 24, 50, 60, 38, 30, -34, 10, 0, 48, 20, -16, 60, -10, -32, -30, 12, -10, -120, -20, -30, 30, 0, 100, -36, 0, 68, -100, -80, -28, -50, 20, 10, 0, -10, -10, 56, -40, 20, -36, -30, -88, -100, 10, -4, 0, -32, 0, -50, -32, -30, -34, 0, -10, 8, 40, 50, 20, 0, 8, -120, 2, -130, 0, 16, 0, 88, -20, 0, 50, -10, -54, 0, 0, 70, 120, 28, 90, 130, -4, 70, -46, 0, 0, 4, 30, -62, 70, -10, 124, 70, -32, -10, 50, -54, 10, 4, 0, -70, -22, 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mf_hecke_nf • Show schema
Hide schema
{'an': [[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-1, 0, -1, 0, -1, 0, 1, -1, -1, 0, 1, 0, 1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [-1, 2, 0, -1, 0, 0, 1, -1, -1, 0, -1, 0, 0, 1, 0, 1], [1, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, -1, 1, -1, 0, 0], [0, 1, 0, -1, 1, 1, -1, 0, 0, 0, -1, 0, -1, 1, 0, 0], [0, -1, 0, 1, 0, 0, 0, -1, 1, -1, 1, 1, 0, -1, 0, 0], [-1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0], [1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0], [2, 0, 1, 0, -1, -1, -1, 2, 2, -1, -1, 0, 0, 0, -2, -2], [-2, -1, -1, 1, 1, 0, 0, 0, -1, 1, 1, 1, -1, -2, 0, 1], [0, -1, 0, 1, -1, 0, 0, 0, 1, 0, 1, 0, 0, 0, -1, -1], [2, 0, 1, -2, 1, 1, -1, 1, 1, -1, -1, -2, 0, 0, 0, 0], [0, -3, 2, 3, -2, -2, 1, 0, 0, -1, 2, 0, 0, -2, -2, -2], [0, 0, 1, -1, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 1], [0, -1, 1, 0, 2, 0, -2, 2, 2, 2, -2, 1, -3, 1, 1, 0], [-4, -1, 0, 1, 1, 1, 1, -3, -4, 2, -3, 2, -1, 1, -2, 2], [0, 0, 0, 0, 0, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-3, 1, -3, 0, -1, 1, 2, 1, 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0, -14, -3, -10], [1, 28, 11, -18, 4, -4, 3, -9, 13, -11, -14, 0, -11, 12, -10, 3], [-27, 27, -20, 6, -3, 19, 13, -26, -31, 13, 3, 1, -7, 17, 11, 10], [20, -15, 3, 15, 12, 5, -8, 28, 15, 8, 20, 8, -11, -8, 12, -4], [10, 7, 6, -19, -9, -9, 7, -6, -2, -22, -3, -16, 22, -2, -12, -7], [12, -6, 6, 34, -10, -10, 10, -2, 4, -10, 38, -4, 10, -24, -2, -10], [8, -1, -7, -1, -2, 6, -1, 6, -5, 4, 11, -7, 13, -8, 5, -7], [-21, -3, -2, 21, -17, 17, 2, -31, -20, 0, -1, 2, 0, 8, -12, 2], [12, 24, 7, -16, 7, 2, 7, 0, -7, -14, -17, 3, -9, 2, -4, -1], [25, -13, 9, 3, 4, -6, 3, 4, -11, -2, -2, -10, 4, -23, -18, -10], [18, 0, 10, 0, 10, -6, 2, 16, -3, -2, -6, 4, -8, -4, -13, -12], [2, -18, 4, 32, -8, -8, 8, 1, 6, 6, 22, 10, -6, 0, 3, -8]], 'char_orbit_index': 9, 'field_poly': [1, 0, 130, 0, 761, 0, 1440, 0, 1286, 0, 610, 0, 156, 0, 20, 0, 1], 'hecke_orbit_code': 549789368395, 'hecke_ring_character_values': [[26, [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]], [52, [0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], '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, 0, 0, 0, 0, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-3, -1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0], [1, -1, 0, 1, 1, 4, -5, 0, 2, 0, 1, 0, -1, -1, 0, -1], [20, 7, 2, -7, 0, -2, 0, 3, 3, -9, -5, -9, 2, -9, 0, -2], [-8, 10, -1, -10, -7, -20, 28, 1, -17, 0, -7, 0, 8, 7, 0, 8], [-130, -42, -16, 44, 3, 19, 0, -28, -28, 62, 25, 62, -19, 63, 0, 19], [53, -78, 14, 78, 43, 110, -167, -10, 116, -1, 43, 1, -57, -43, -8, -57], [826, 241, 102, -269, -42, -140, 4, 206, 206, -399, -125, -399, 144, -413, 0, -144], [-335, 563, -140, -563, -255, -629, 1024, 82, -752, 18, -259, -18, 395, 259, 120, 395], [-5209, -1360, -612, 1640, 406, 958, -60, -1415, -1415, 2518, 618, 2518, -1018, 2654, 0, 1018], [2093, -3931, 1203, 3931, 1496, 3660, -6359, -625, 4811, -200, 1564, 200, -2699, -1564, -1212, -2699], [32816, 7629, 3608, -10035, -3379, -6381, 606, 9477, 9477, -15819, -2980, -15819, 6987, -16954, 0, -6987], [-13063, 26944, -9487, -26944, -8764, -21508, 39759, 4565, -30691, 1809, -9506, -1809, 18251, 9506, 10376, 18251], [-207014, -42731, -21204, 61705, 26005, 42021, -5188, -62762, -62762, 99427, 13754, 99427, -47209, 108172, 0, 47209], [81704, -182407, 70908, 182407, 51476, 127315, -249699, -32398, 195806, -14675, 58148, 14675, -122384, -58148, -81360, -122384]], 'hecke_ring_numerators': [[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-2, -34, -565, 270, -3223, 2332, -5277, 4097, -3731, 2975, -1257, 1016, -194, 158, -11, 9], [2, -64, -339, 444, -1847, 3837, -2948, 6764, -2058, 4929, -689, 1688, -106, 263, -6, 15], [-2, 34, -565, -270, -3223, -2332, -5277, -4097, -3731, -2975, -1257, -1016, -194, -158, -11, -9], [2, 64, -339, -444, -1847, -3837, -2948, -6764, -2058, -4929, -689, -1688, -106, -263, -6, -15], [-2, -2, -1247, 0, -7066, 0, -11513, 0, -8128, 0, -2739, 0, -423, 0, -24, 0], [-2, 2, -1247, 0, -7066, 0, -11513, 0, -8128, 0, -2739, 0, -423, 0, -24, 0], [-12, 47, -1716, 595, -9462, 2400, -15360, 3583, -10838, 2444, -3652, 810, -564, 124, -32, 7], [-12, -47, -1716, -595, -9462, -2400, -15360, -3583, -10838, -2444, -3652, -810, -564, -124, -32, -7], [-17, -156, -2485, -330, -13514, 1920, -21803, 4594, -15324, 3668, -5150, 1308, -794, 208, -45, 12], [23, -19, 2487, -675, 13514, -3225, 21803, -5013, 15324, -3465, 5150, -1154, 794, -177, 45, -10], [-17, 88, -2485, 870, -13514, 2744, -21803, 3600, -15324, 2282, -5150, 724, -794, 108, -45, 6], [-8, 7, -1620, -1041, -8782, -6237, -14123, -10347, -9905, -7373, -3324, -2498, -512, -387, -29, -22], [23, 19, 2487, 675, 13514, 3225, 21803, 5013, 15324, 3465, 5150, 1154, 794, 177, 45, 10], [10, 40, 1716, 1785, 9462, 8977, 15360, 14211, 10838, 9921, 3652, 3325, 564, 512, 32, 29], [-8, -25, -904, -2487, -4923, -13514, -8032, -21803, -5701, -15324, -1930, -5150, -299, -794, -17, -45]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 16, 'label': '75.2.i.a', 'level': 75, 'maxp': 997, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 300, 'analytic_conductor': 0.5988780151596029, 'char_conductor': 25, 'char_degree': 4, 'char_is_real': False, 'char_orbit_index': 9, 'char_orbit_label': 'i', 'char_order': 10, 'char_parity': 1, 'char_values': [75, 10, [26, 52], [10, 1]], 'conrey_index': 4, 'cusp_dim': 32, 'dim': 16, 'eis_dim': 16, 'eis_new_dim': 0, 'hecke_cutter_primes': [], 'hecke_orbit_code': 549789368395, 'hecke_orbit_dims': [16], 'label': '75.2.i', 'level': 75, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 5], 'level_radical': 15, 'mf_dim': 48, 'mf_new_dim': 16, 'num_forms': 1, 'prim_orbit_index': 5, 'relative_dim': 4, 'sturm_bound': 20, 'trace_bound': 0, 'trace_display': [0, 0, 0, 0], 'traces': [16, 0, 0, 2, 0, 2, 0, -30, 4, 0, -6, 0, 0, -12, 0, -10, 10, 0, -2, 20, 4, -30, -20, 24, -10, 12, 0, 30, 16, -20, 6, 0, 10, -36, 10, -2, -10, 30, -8, 10, -14, -10, 0, 26, 0, 16, 40, 0, 0, 20, -32, 40, 10, -2, 10, 0, 0, 10, 12, -30, 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-60, 48, 20, 0, 44, 80, 126, 20, 60, 244, 140, -168, 210, 50, 48, 130, 72, 0, 270, 20, -20, 202, 40, -180, 112, -40, 152, -70, 0, 106, -10, 120, 80, 200, 56, 290], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 63787
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 9, 'source_dim': 16, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '75.2.i.a', 'source_level': 75, 'target_char_orbit': 9, 'target_dim': 16, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '75.2.i.a', 'target_level': 75, 'twist_class_label': '75.2.i.a', 'twist_class_level': 75, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 63788
{'conductor': 25, 'degree': 4, 'multiplicity': 1, 'order': 10, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 16, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '75.2.i.a', 'source_level': 75, 'target_char_orbit': 9, 'target_dim': 16, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '75.2.i.a', 'target_level': 75, 'twist_class_label': '75.2.i.a', 'twist_class_level': 75, 'twisting_char_label': '25.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 63789
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 16, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '75.2.i.a', 'source_level': 75, 'target_char_orbit': 13, 'target_dim': 16, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '225.2.m.b', 'target_level': 225, 'twist_class_label': '75.2.i.a', 'twist_class_level': 75, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 63790
{'conductor': 75, 'degree': 4, 'multiplicity': 1, 'order': 10, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 16, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '75.2.i.a', 'source_level': 75, 'target_char_orbit': 13, 'target_dim': 16, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '225.2.m.b', 'target_level': 225, 'twist_class_label': '75.2.i.a', 'twist_class_level': 75, 'twisting_char_label': '75.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 63791
{'conductor': 5, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 16, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '75.2.i.a', 'source_level': 75, 'target_char_orbit': 7, 'target_dim': 16, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '375.2.g.d', 'target_level': 375, 'twist_class_label': '75.2.i.a', 'twist_class_level': 75, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 63792
{'conductor': 25, 'degree': 8, 'multiplicity': 1, 'order': 20, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 16, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '75.2.i.a', 'source_level': 75, 'target_char_orbit': 7, 'target_dim': 16, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '375.2.g.d', 'target_level': 375, 'twist_class_label': '75.2.i.a', 'twist_class_level': 75, 'twisting_char_label': '25.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 63793
{'conductor': 5, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 16, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '75.2.i.a', 'source_level': 75, 'target_char_orbit': 7, 'target_dim': 16, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '375.2.g.e', 'target_level': 375, 'twist_class_label': '75.2.i.a', 'twist_class_level': 75, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 63794
{'conductor': 25, 'degree': 8, 'multiplicity': 1, 'order': 20, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 16, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '75.2.i.a', 'source_level': 75, 'target_char_orbit': 7, 'target_dim': 16, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '375.2.g.e', 'target_level': 375, 'twist_class_label': '75.2.i.a', 'twist_class_level': 75, 'twisting_char_label': '25.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 63795
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 16, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '75.2.i.a', 'source_level': 75, 'target_char_orbit': 9, 'target_dim': 16, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '375.2.i.c', 'target_level': 375, 'twist_class_label': '75.2.i.a', 'twist_class_level': 75, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 63796
{'conductor': 25, 'degree': 4, 'multiplicity': 1, 'order': 5, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 16, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '75.2.i.a', 'source_level': 75, 'target_char_orbit': 9, 'target_dim': 16, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '375.2.i.c', 'target_level': 375, 'twist_class_label': '75.2.i.a', 'twist_class_level': 75, 'twisting_char_label': '25.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 63797
{'conductor': 25, 'degree': 8, 'multiplicity': 1, 'order': 20, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 16, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '75.2.i.a', 'source_level': 75, 'target_char_orbit': 1, 'target_dim': 8, 'target_hecke_orbit': 13, 'target_is_minimal': False, 'target_label': '1875.2.a.m', 'target_level': 1875, 'twist_class_label': '75.2.i.a', 'twist_class_level': 75, 'twisting_char_label': '25.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 63798
{'conductor': 25, 'degree': 8, 'multiplicity': 1, 'order': 20, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 16, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '75.2.i.a', 'source_level': 75, 'target_char_orbit': 1, 'target_dim': 8, 'target_hecke_orbit': 16, 'target_is_minimal': False, 'target_label': '1875.2.a.p', 'target_level': 1875, 'twist_class_label': '75.2.i.a', 'twist_class_level': 75, 'twisting_char_label': '25.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 63799
{'conductor': 25, 'degree': 4, 'multiplicity': 1, 'order': 5, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 16, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '75.2.i.a', 'source_level': 75, 'target_char_orbit': 2, 'target_dim': 16, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '1875.2.b.h', 'target_level': 1875, 'twist_class_label': '75.2.i.a', 'twist_class_level': 75, 'twisting_char_label': '25.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 63800
{'conductor': 25, 'degree': 4, 'multiplicity': 1, 'order': 10, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 16, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '75.2.i.a', 'source_level': 75, 'target_char_orbit': 2, 'target_dim': 16, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '1875.2.b.h', 'target_level': 1875, 'twist_class_label': '75.2.i.a', 'twist_class_level': 75, 'twisting_char_label': '25.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 63801
{'conductor': 75, 'degree': 8, 'multiplicity': 1, 'order': 20, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 16, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '75.2.i.a', 'source_level': 75, 'target_char_orbit': 1, 'target_dim': 8, 'target_hecke_orbit': 20, 'target_is_minimal': False, 'target_label': '5625.2.a.t', 'target_level': 5625, 'twist_class_label': '75.2.i.a', 'twist_class_level': 75, 'twisting_char_label': '75.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 63802
{'conductor': 75, 'degree': 8, 'multiplicity': 1, 'order': 20, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 16, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '75.2.i.a', 'source_level': 75, 'target_char_orbit': 1, 'target_dim': 8, 'target_hecke_orbit': 30, 'target_is_minimal': False, 'target_label': '5625.2.a.bd', 'target_level': 5625, 'twist_class_label': '75.2.i.a', 'twist_class_level': 75, 'twisting_char_label': '75.l', 'twisting_char_orbit': 12, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 231350
{'charpoly_factorization': [[[1, -10, 85, 360, 226, -410, -365, 30, 381, 20, -95, -50, 26, 10, -5, 0, 1], 1]], 'hecke_orbit_code': 549789368395, 'p': 2}
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id: 231351
{'charpoly_factorization': [[[1, 0, -1, 0, 1, 0, -1, 0, 1], 2]], 'hecke_orbit_code': 549789368395, 'p': 3}
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id: 231352
{'charpoly_factorization': [[[390625, 0, 78125, 31250, 6250, -6250, 625, -2250, -725, -450, 25, -50, 10, 10, 5, 0, 1], 1]], 'hecke_orbit_code': 549789368395, 'p': 5}
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id: 231353
{'charpoly_factorization': [[[255025, 0, 639150, 0, 625685, 0, 313780, 0, 87806, 0, 13966, 0, 1236, 0, 56, 0, 1], 1]], 'hecke_orbit_code': 549789368395, 'p': 7}
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id: 231354
{'charpoly_factorization': [[[27888961, -29372922, 16110977, -2639176, 4708521, 310268, 660685, 96472, 88704, 6336, 9495, 1766, 731, 152, 48, 6, 1], 1]], 'hecke_orbit_code': 549789368395, 'p': 11}
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id: 231355
{'charpoly_factorization': [[[78961, -710930, 3574875, -9033800, 13039791, -11687580, 6722905, -2447600, 525726, -65400, 15475, -6300, 601, 210, -30, 0, 1], 1]], 'hecke_orbit_code': 549789368395, 'p': 13}
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id: 231356
{'charpoly_factorization': [[[53860921, -14384440, -6430688, 132444760, 55432363, -39721640, 20449649, 4762500, -1729700, 137450, 118779, -15760, -2187, 640, -13, -10, 1], 1]], 'hecke_orbit_code': 549789368395, 'p': 17}
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id: 231357
{'charpoly_factorization': [[[6375625, -8458750, 11411375, -12431500, 33100275, 15772200, 22105705, 4900730, 817316, 45282, 102953, -9376, 2375, 164, 23, 2, 1], 1]], 'hecke_orbit_code': 549789368395, 'p': 19}
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id: 231358
{'charpoly_factorization': [[[4389025, -13973650, -1197725, 13582000, 49859110, 26723470, 10779825, 3230520, 1988381, 797470, 147679, -4510, -6634, -690, 89, 20, 1], 1]], 'hecke_orbit_code': 549789368395, 'p': 23}
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id: 231359
{'charpoly_factorization': [[[156025, -6991500, 119023875, 53876600, 234315710, -91645120, 10988485, 3488110, 3185601, -1035184, 421067, -76952, 14150, -1828, 217, -16, 1], 1]], 'hecke_orbit_code': 549789368395, 'p': 29}
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id: 231360
{'charpoly_factorization': [[[15625, 31250, 53125, -3750, 121500, -200000, 494875, -650280, 667031, -302064, 95587, -25772, 6420, -1018, 97, -6, 1], 1]], 'hecke_orbit_code': 549789368395, 'p': 31}
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id: 231361
{'charpoly_factorization': [[[8653650625, -4539620000, 750711750, -963052750, 1716662025, -724515700, -216583605, 154664160, 24045206, -8158240, -626259, 104080, 14811, 380, 11, 10, 1], 1]], 'hecke_orbit_code': 549789368395, 'p': 37}
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id: 231362
{'charpoly_factorization': [[[22137025, 13315150, 23695250, 21595250, 20135935, 7607310, 9364080, 2346760, 1436001, 483336, 114992, 7838, 975, 22, 82, 14, 1], 1]], 'hecke_orbit_code': 549789368395, 'p': 41}
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id: 231363
{'charpoly_factorization': [[[527207521, 0, 38713324708, 0, 15681001018, 0, 2210017296, 0, 133227555, 0, 3891216, 0, 56538, 0, 388, 0, 1], 1]], 'hecke_orbit_code': 549789368395, 'p': 43}
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id: 231364
{'charpoly_factorization': [[[36687479166361, -6349330736940, -2854337180073, 907874432000, 12767985278, -45668136060, 9911357329, -1377260650, 236816705, -45648700, 6478719, -649560, 60278, -6800, 677, -40, 1], 1]], 'hecke_orbit_code': 549789368395, 'p': 47}
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id: 231365
{'charpoly_factorization': [[[40398990025, -122554691300, 228704706000, -139869016200, 39757007835, -6567436460, 1418158465, -493967540, 101652676, -3028650, -1191741, -37680, 20661, 1280, -181, -10, 1], 1]], 'hecke_orbit_code': 549789368395, 'p': 53}
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id: 231366
{'charpoly_factorization': [[[12924025, -48388700, 437354400, -144117050, 369536885, -321759700, 124446380, -17857520, 650521, -701052, 483888, -120244, 19905, -2154, 188, -12, 1], 1]], 'hecke_orbit_code': 549789368395, 'p': 59}
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id: 231367
{'charpoly_factorization': [[[275701483356121, -147564724188760, 45058315259458, -10033730875340, 2190305039983, -371405066600, 53152409896, -6367102400, 782906505, -57745600, 5069616, -266160, 28063, -940, 178, 0, 1], 1]], 'hecke_orbit_code': 549789368395, 'p': 61}
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id: 231368
{'charpoly_factorization': [[[13980121, -169451480, 1629961772, 3807182440, 1518560768, -1468558240, -816517846, 89361400, 161378530, 52503600, 8640284, 741880, 67133, 8360, 762, 40, 1], 1]], 'hecke_orbit_code': 549789368395, 'p': 67}
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id: 231369
{'charpoly_factorization': [[[25529328841, 73541160772, 102998052400, 74706313490, 43417993715, 10863615616, 2923617757, 437067100, 80532860, 9688510, 1235747, 49864, 15225, 260, 35, 8, 1], 1]], 'hecke_orbit_code': 549789368395, 'p': 71}
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id: 231370
{'charpoly_factorization': [[[757413387025, 2461333507200, 5219302963200, 2039214248100, 16498283860, -91135157760, -3360577290, 1986927260, 62829046, -18939580, 2489884, 777740, 65301, 2260, 134, 20, 1], 1]], 'hecke_orbit_code': 549789368395, 'p': 73}
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id: 231371
{'charpoly_factorization': [[[3940125750625, -4259855598750, 3788541999375, -1697089147500, 454916497375, -67409448000, 9355790125, -831642500, 109423650, -201600, 1593875, 213000, 49845, 3210, 290, 20, 1], 1]], 'hecke_orbit_code': 549789368395, 'p': 79}
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id: 231372
{'charpoly_factorization': [[[2356228681, -17046142970, 72578059590, -97075950670, 12410797871, 32072355430, 10389848740, 1192138780, -66891139, -31067020, -1161380, 188190, 34471, -930, -130, -10, 1], 1]], 'hecke_orbit_code': 549789368395, 'p': 83}
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id: 231373
{'charpoly_factorization': [[[25, -1200, 162425, 336900, 2692985, 392920, 6910045, -11690360, 8961316, -601928, 1085023, -162146, 3035, 1034, 68, -18, 1], 1]], 'hecke_orbit_code': 549789368395, 'p': 89}
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id: 231374
{'charpoly_factorization': [[[216648961, -12568848480, 210342046342, -318432498140, 255950548983, -118864560200, 33105883164, -5462229640, 436932165, 14768760, -7478596, 667040, 9023, -7500, 782, -40, 1], 1]], 'hecke_orbit_code': 549789368395, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 9, 'hecke_orbit': 1, 'label': '75.2.i.a', 'level': 75, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 37858000
{'hecke_orbit_code': 549789368395, 'n': 1, 'trace_an': 16}
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id: 37858001
{'hecke_orbit_code': 549789368395, 'n': 2, 'trace_an': 0}
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id: 37858002
{'hecke_orbit_code': 549789368395, 'n': 3, 'trace_an': 0}
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id: 37858003
{'hecke_orbit_code': 549789368395, 'n': 4, 'trace_an': 2}
-
id: 37858004
{'hecke_orbit_code': 549789368395, 'n': 5, 'trace_an': 0}
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id: 37858005
{'hecke_orbit_code': 549789368395, 'n': 6, 'trace_an': 2}
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id: 37858006
{'hecke_orbit_code': 549789368395, 'n': 7, 'trace_an': 0}
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id: 37858007
{'hecke_orbit_code': 549789368395, 'n': 8, 'trace_an': -30}
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id: 37858008
{'hecke_orbit_code': 549789368395, 'n': 9, 'trace_an': 4}
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id: 37858009
{'hecke_orbit_code': 549789368395, 'n': 10, 'trace_an': 0}
-
id: 37858010
{'hecke_orbit_code': 549789368395, 'n': 11, 'trace_an': -6}
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id: 37858011
{'hecke_orbit_code': 549789368395, 'n': 12, 'trace_an': 0}
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id: 37858012
{'hecke_orbit_code': 549789368395, 'n': 13, 'trace_an': 0}
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id: 37858013
{'hecke_orbit_code': 549789368395, 'n': 14, 'trace_an': -12}
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id: 37858014
{'hecke_orbit_code': 549789368395, 'n': 15, 'trace_an': 0}
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id: 37858015
{'hecke_orbit_code': 549789368395, 'n': 16, 'trace_an': -10}
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id: 37858016
{'hecke_orbit_code': 549789368395, 'n': 17, 'trace_an': 10}
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id: 37858017
{'hecke_orbit_code': 549789368395, 'n': 18, 'trace_an': 0}
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id: 37858018
{'hecke_orbit_code': 549789368395, 'n': 19, 'trace_an': -2}
-
id: 37858019
{'hecke_orbit_code': 549789368395, 'n': 20, 'trace_an': 20}
-
id: 37858020
{'hecke_orbit_code': 549789368395, 'n': 21, 'trace_an': 4}
-
id: 37858021
{'hecke_orbit_code': 549789368395, 'n': 22, 'trace_an': -30}
-
id: 37858022
{'hecke_orbit_code': 549789368395, 'n': 23, 'trace_an': -20}
-
id: 37858023
{'hecke_orbit_code': 549789368395, 'n': 24, 'trace_an': 24}
-
id: 37858024
{'hecke_orbit_code': 549789368395, 'n': 25, 'trace_an': -10}
-
id: 37858025
{'hecke_orbit_code': 549789368395, 'n': 26, 'trace_an': 12}
-
id: 37858026
{'hecke_orbit_code': 549789368395, 'n': 27, 'trace_an': 0}
-
id: 37858027
{'hecke_orbit_code': 549789368395, 'n': 28, 'trace_an': 30}
-
id: 37858028
{'hecke_orbit_code': 549789368395, 'n': 29, 'trace_an': 16}
-
id: 37858029
{'hecke_orbit_code': 549789368395, 'n': 30, 'trace_an': -20}
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id: 37858030
{'hecke_orbit_code': 549789368395, 'n': 31, 'trace_an': 6}
-
id: 37858031
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