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mf_newforms • Show schema
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{'Nk2': 4440, 'analytic_conductor': 8.863394624362122, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 37, 'char_degree': 2, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 9, 'char_orbit_label': 'i', 'char_order': 3, 'char_parity': 1, 'char_values': [1110, 3, [371, 667, 631], [3, 3, 2]], 'cm_discs': [], 'conrey_index': 121, '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': [[7, [25, -5, 1]], [11, [-2, 1]]], 'hecke_orbit': 8, 'hecke_orbit_code': 31525747180962902, 'hecke_ring_generator_nbound': 2, '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, 37, 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': True, 'label': '1110.2.i.h', 'level': 1110, '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': True, 'level_primes': [2, 3, 5, 37], 'level_radical': 1110, 'minimal_twist': '1110.2.i.h', 'nf_label': '2.0.3.1', 'prim_orbit_index': 3, 'qexp_display': 'q+(1-\\zeta_{6})q^{2}+\\zeta_{6}q^{3}-\\zeta_{6}q^{4}+\\zeta_{6}q^{5}+\\cdots', 'related_objects': [], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c3', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1110.2.i', 'trace_display': [1, 1, 1, 5], 'trace_hash': 1521765413317442909, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.943', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '10.955', 'prec': 20}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '93.333', 'prec': 20}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.014', 'prec': 17}, 'traces': [2, 1, 1, -1, 1, 2, 5, -2, -1, 2, 4, 1, -5, 10, -1, -1, -2, 1, 5, 1, -5, 2, 0, -1, -1, -10, -2, 5, -18, 1, 8, 1, 2, 2, -5, 2, 1, 10, 5, -1, 8, 5, 8, -2, -2, 0, 4, -2, -18, 1, -4, -5, 8, -1, 2, -5, -5, -9, 4, 2, -14, 4, -10, 2, 5, 4, 2, 4, 0, 5, -9, 1, 32, 11, -2, 5, 10, -5, 12, -2, -1, 16, 9, 10, -4, 4, -9, -4, 0, -1, 25, 0, 4, 2, -5, -1, -8, 18, -2, 2, -4, -2, 6, 5, -10, -8, -12, 1, 14, 4, -10, -10, 13, 5, 0, 9, 10, -4, -20, 1, -14, -28, -8, -4, -2, -5, -5, 1, 4, -5, -18, 2, -25, 4, -1, 2, -6, 0, -12, 10, 2, -18, -10, -1, -9, 16, -36, 10, 30, -1, 6, -5, -2, 20, 4, -10, 13, 24, 16, -1, 0, -2, 2, 8, -2, -9, -18, 5, -12, -2, -10, -4, 0, -18, -10, -2, 8, 0, -24, 1, 14, -25, 14, 0, -10, 8, -4, -2, -5, 5, 8, 1, -32, -4, 10, 36, 24, 2, 28, 1, -2, -2, -45, 2, -8, 3, 0, 10, 10, -5, -34, -16, 9, -24, 4, 2, 20, 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mf_hecke_nf • Show schema
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{'an': [[1, 0], [1, -1], [0, 1], [0, -1], [0, 1], [1, 0], [0, 5], [-1, 0], [-1, 1], [1, 0], [2, 0], [1, -1], [0, -5], [5, 0], [-1, 1], [-1, 1], [-2, 2], [0, 1], [0, 5], [1, -1], [-5, 5], [2, -2], [0, 0], [0, -1], [-1, 1], [-5, 0], [-1, 0], [5, -5], [-9, 0], [0, 1], [4, 0], [0, 1], [0, 2], [0, 2], [-5, 5], [1, 0], [-3, 7], [5, 0], [5, -5], [0, -1], [0, 8], [0, 5], [4, 0], [0, -2], [-1, 0], [0, 0], [2, 0], [-1, 0], [-18, 18], [0, 1], [-2, 0], [-5, 5], [8, -8], [-1, 1], [0, 2], [0, -5], [-5, 5], [-9, 9], [4, -4], [1, 0], [0, -14], [4, -4], [-5, 0], [1, 0], [5, -5], [2, 0], [0, 2], [2, 0], [0, 0], [0, 5], [0, -9], [1, -1], [16, 0], [4, 3], [-1, 0], [5, -5], [0, 10], [0, -5], [0, 12], [-1, 0], [0, -1], [8, 0], [9, -9], [5, 0], [-2, 0], [4, -4], [0, -9], [-2, 0], [0, 0], [-1, 1], [25, -25], [0, 0], [0, 4], [2, -2], [-5, 5], [-1, 1], [-4, 0], [0, 18], [-2, 2], [1, 0]], 'ap': [[1, -1], [0, 1], [0, 1], [0, 5], [2, 0], [0, -5], [-2, 2], [0, 5], [0, 0], [-9, 0], [4, 0], [-3, 7], [0, 8], [4, 0], [2, 0], [8, -8], [4, -4], [0, -14], [0, 2], [0, -9], [16, 0], [0, 12], [9, -9], [0, 0], [-4, 0], [-2, 0], [3, 0], [0, -12], [14, -14], [13, -13], [-5, 5], [-18, 18], [-3, 0], [-12, 12], [15, 0], [0, 6], [13, -13], [2, -2], [0, -18], [0, 0], [-12, 0], [0, 14], [4, 0], [-16, 0], [24, -24], [14, 0], [-17, 0], [12, 0], [0, -25], [0, 4], [-3, 0], [27, -27], [0, -18], [14, 0], [13, -13], [0, 0], [-15, 0], [-20, 20], [0, 1], [18, -18], [0, -6], [0, -24], [-2, 0], [24, -24], [0, 0], [-32, 32], [-7, 7], [0, 14], [-17, 0], [20, -20], [-5, 5], [17, 0], [0, -17], [0, -3], [13, -13], [0, -6], [0, 21], [-2, 0], [-30, 0], [-3, 3], [-34, 34], [-8, 0], [0, 13], [38, 0], [0, -22], [-3, 0], [0, -20], [0, 38], [-35, 35], [0, -23], [39, 0], [-12, 12], [33, 0], [6, 0], [0, 31], [-12, 12], [9, -9], [0, 6], [0, -42], [38, 0], [40, 0], [-14, 14], [-11, 0], [12, 0], [19, -19], [-26, 26], [0, -7], [18, 0], [0, 17], [-34, 34], [1, -1], [15, -15], [-25, 25], [-4, 0], [-32, 32], [-42, 42], [26, 0], [0, -26], [0, -28], [0, 48], [0, -32], [0, 8], [-6, 0], [-36, 36], [45, -45], [-30, 30], [38, 0], [43, -43], [0, -35], [0, -30], [17, 0], [0, 36], [-46, 0], [13, -13], [-8, 8], [-41, 0], [0, 48], [0, 0], [24, -24], [0, 48], [0, -40], [0, 5], [-41, 41], [0, -15], [-40, 40], [-4, 4], [26, -26], [-41, 0], [-39, 0], [0, 0], [-13, 0], [0, 18], [0, 2], [-20, 0], [0, 32], [-27, 0], [-32, 0], [0, 18], [-8, 8], [-35, 35], [-43, 43], [3, -3], [0, -1], [32, -32], [13, -13], [-6, 6], [4, 0], [-3, 3], [29, 0], [-18, 0], [-4, 4], [14, -14], [0, -8], [0, 36], [0, -42], [0, 10], [-21, 21], [6, -6], [-33, 0], [0, 0], [13, 0], [0, 16], [-11, 11], [0, 54], [0, -6], [10, 0], [0, 19], [0, -52], [0, -59], [0, 24], [16, 0], [11, -11], [0, -13], [0, 14], [0, -27], [45, -45], [-61, 61], [-2, 0], [0, -14], [-14, 14], [14, 0], [-4, 0], [7, -7], [10, -10], [-36, 0], [0, -36], [-2, 2], [-36, 36], [-48, 0], [0, -3], [-62, 62], [-23, 0], [24, 0], [43, -43], [0, 45], [55, 0], [0, -8], [-70, 0], [66, -66], [0, -26], [58, -58], [0, 50], [0, 30], [-55, 55], [-32, 32], [-24, 0], [-66, 0], [0, 65], [0, -53], [48, 0], [-59, 0], [-39, 39], [44, -44], [-46, 0], [0, 44], [0, -18], [65, -65], [0, 8], [0, 46], [-39, 0], [12, 0], [15, 0], [52, 0], [0, 22], [-51, 0], [0, 3], [0, 0], [64, -64], [-5, 5], [54, 0], [50, 0], [-52, 0], [-18, 18], [0, 54], [46, -46], [56, -56], [0, -38], [-46, 0], [8, -8], [-6, 0], [-8, 8], [3, -3], [0, -6], [-46, 46], [0, 27], [0, 39], [0, -61], [0, 0], [46, -46], [20, 0], [32, -32], [22, 0], [10, 0], [74, -74], [-30, 0], [0, 40], [-31, 0], [0, -48], [31, -31], [16, -16], [-6, 0], [0, -16], [0, 0], [-64, 0], [66, -66], [-48, 48], [-28, 0], [-2, 0], [56, 0], [18, -18], [-11, 0], [-27, 27], [26, 0], [0, -60], [27, -27], [17, -17], [-36, 0], [-56, 56], [0, 64], [6, 0], [0, -4], [48, 0], [-72, 0]], 'char_orbit_index': 9, 'field_poly': [1, -1, 1], 'hecke_orbit_code': 31525747180962902, 'hecke_ring_character_values': [[371, [1, 0]], [667, [1, 0]], [631, [0, -1]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 2, 'label': '1110.2.i.h', 'level': 1110, 'maxp': 1999, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 4440, 'analytic_conductor': 8.863394624362122, 'char_conductor': 37, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 9, 'char_orbit_label': 'i', 'char_order': 3, 'char_parity': 1, 'char_values': [1110, 3, [371, 667, 631], [3, 3, 2]], 'conrey_index': 121, 'cusp_dim': 440, 'dim': 56, 'eis_dim': 32, 'eis_new_dim': 0, 'hecke_cutter_primes': [7, 11], 'hecke_orbit_code': 549789369430, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4, 6, 10], 'label': '1110.2.i', 'level': 1110, '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': True, 'level_primes': [2, 3, 5, 37], 'level_radical': 1110, 'mf_dim': 472, 'mf_new_dim': 56, 'num_forms': 16, 'prim_orbit_index': 3, 'relative_dim': 28, 'sturm_bound': 456, 'trace_bound': 7, 'trace_display': [0, -4, 0, 4], 'traces': [56, 0, -4, -28, 0, 0, 4, 0, -28, 8, -8, -4, 4, 16, 0, -28, -16, 0, 4, 0, 4, 0, -16, 0, -28, 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48, -160, 136, 0, 352, -48, -16, 4, 8, 24, -60, -160, -56, -32, -148, 8, 456, 192, 16, -16, -168, -32, 68, 32, -12, -32, -184, -8, -144, 56, 72, -32, 480, 12, -200, 0, -40, 16, -152, 8, -48, -400, 20, 8], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 648592
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 8, 'source_is_minimal': True, 'source_label': '1110.2.i.h', 'source_level': 1110, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 8, 'target_is_minimal': True, 'target_label': '1110.2.i.h', 'target_level': 1110, 'twist_class_label': '1110.2.i.h', 'twist_class_level': 1110, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 648593
{'conductor': 37, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 8, 'source_is_minimal': True, 'source_label': '1110.2.i.h', 'source_level': 1110, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 8, 'target_is_minimal': True, 'target_label': '1110.2.i.h', 'target_level': 1110, 'twist_class_label': '1110.2.i.h', 'twist_class_level': 1110, 'twisting_char_label': '37.c', 'twisting_char_orbit': 3, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 1684350
{'charpoly_factorization': [[[1, -1, 1], 1]], 'hecke_orbit_code': 31525747180962902, 'p': 2}
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id: 1684351
{'charpoly_factorization': [[[1, -1, 1], 1]], 'hecke_orbit_code': 31525747180962902, 'p': 3}
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id: 1684352
{'charpoly_factorization': [[[1, -1, 1], 1]], 'hecke_orbit_code': 31525747180962902, 'p': 5}
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id: 1684353
{'charpoly_factorization': [[[25, -5, 1], 1]], 'hecke_orbit_code': 31525747180962902, 'p': 7}
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id: 1684354
{'charpoly_factorization': [[[-2, 1], 2]], 'hecke_orbit_code': 31525747180962902, 'p': 11}
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id: 1684355
{'charpoly_factorization': [[[25, 5, 1], 1]], 'hecke_orbit_code': 31525747180962902, 'p': 13}
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id: 1684356
{'charpoly_factorization': [[[4, 2, 1], 1]], 'hecke_orbit_code': 31525747180962902, 'p': 17}
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id: 1684357
{'charpoly_factorization': [[[25, -5, 1], 1]], 'hecke_orbit_code': 31525747180962902, 'p': 19}
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id: 1684358
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 31525747180962902, 'p': 23}
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id: 1684359
{'charpoly_factorization': [[[9, 1], 2]], 'hecke_orbit_code': 31525747180962902, 'p': 29}
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id: 1684360
{'charpoly_factorization': [[[-4, 1], 2]], 'hecke_orbit_code': 31525747180962902, 'p': 31}
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id: 1684361
{'charpoly_factorization': [[[37, -1, 1], 1]], 'hecke_orbit_code': 31525747180962902, 'p': 37}
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id: 1684362
{'charpoly_factorization': [[[64, -8, 1], 1]], 'hecke_orbit_code': 31525747180962902, 'p': 41}
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id: 1684363
{'charpoly_factorization': [[[-4, 1], 2]], 'hecke_orbit_code': 31525747180962902, 'p': 43}
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id: 1684364
{'charpoly_factorization': [[[-2, 1], 2]], 'hecke_orbit_code': 31525747180962902, 'p': 47}
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id: 1684365
{'charpoly_factorization': [[[64, -8, 1], 1]], 'hecke_orbit_code': 31525747180962902, 'p': 53}
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id: 1684366
{'charpoly_factorization': [[[16, -4, 1], 1]], 'hecke_orbit_code': 31525747180962902, 'p': 59}
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id: 1684367
{'charpoly_factorization': [[[196, 14, 1], 1]], 'hecke_orbit_code': 31525747180962902, 'p': 61}
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id: 1684368
{'charpoly_factorization': [[[4, -2, 1], 1]], 'hecke_orbit_code': 31525747180962902, 'p': 67}
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id: 1684369
{'charpoly_factorization': [[[81, 9, 1], 1]], 'hecke_orbit_code': 31525747180962902, 'p': 71}
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id: 1684370
{'charpoly_factorization': [[[-16, 1], 2]], 'hecke_orbit_code': 31525747180962902, 'p': 73}
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id: 1684371
{'charpoly_factorization': [[[144, -12, 1], 1]], 'hecke_orbit_code': 31525747180962902, 'p': 79}
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id: 1684372
{'charpoly_factorization': [[[81, -9, 1], 1]], 'hecke_orbit_code': 31525747180962902, 'p': 83}
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id: 1684373
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 31525747180962902, 'p': 89}
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id: 1684374
{'charpoly_factorization': [[[4, 1], 2]], 'hecke_orbit_code': 31525747180962902, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 9, 'hecke_orbit': 8, 'label': '1110.2.i.h', 'level': 1110, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 50070037
{'hecke_orbit_code': 31525747180962902, 'n': 1, 'trace_an': 2}
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id: 50070038
{'hecke_orbit_code': 31525747180962902, 'n': 2, 'trace_an': 1}
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id: 50070039
{'hecke_orbit_code': 31525747180962902, 'n': 3, 'trace_an': 1}
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id: 50070040
{'hecke_orbit_code': 31525747180962902, 'n': 4, 'trace_an': -1}
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id: 50070041
{'hecke_orbit_code': 31525747180962902, 'n': 5, 'trace_an': 1}
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id: 50070042
{'hecke_orbit_code': 31525747180962902, 'n': 6, 'trace_an': 2}
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id: 50070043
{'hecke_orbit_code': 31525747180962902, 'n': 7, 'trace_an': 5}
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id: 50070294
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