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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, [4, 2, 1]], [11, [5, 1]]], 'hecke_orbit': 6, 'hecke_orbit_code': 22518547926221910, '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.f', '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.f', '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, -2], 'trace_hash': 1714419955560147221, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.041', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.015', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.201', 'prec': 17}, {'__RealLiteral__': 0, 'data': '11.999', 'prec': 20}, {'__RealLiteral__': 0, 'data': '3.412', 'prec': 17}, {'__RealLiteral__': 0, 'data': '108.878', 'prec': 24}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.006', 'prec': 17}, 'traces': [2, 1, 1, -1, 1, 2, -2, -2, -1, 2, -10, 1, -5, -4, -1, -1, 5, 1, -2, 1, 2, -5, 0, -1, -1, -10, -2, -2, -18, 1, 8, 1, -5, -5, 2, 2, 1, -4, 5, -1, -6, -2, 8, 5, -2, 0, 18, -2, 3, 1, 10, -5, -6, -1, -5, 2, 2, -9, -3, 2, 0, 4, 4, 2, 5, -10, 9, -10, 0, -2, 12, 1, -24, -10, -2, -2, 10, -5, -16, -2, -1, -12, 2, -4, 10, 4, -9, 10, 14, -1, -10, 0, 4, 9, 2, -1, -36, -3, 5, 2, 10, 5, -8, 5, 4, 6, 2, 1, -14, -10, 11, 4, -15, -2, 0, 9, 10, 3, -20, 1, 28, 0, 6, -4, -2, 2, 2, 1, 4, -5, -11, -5, -4, 18, -1, -5, -6, 0, 16, -4, 9, 24, 25, -1, -9, -12, 6, -11, 30, -1, -8, 2, 5, 20, 4, -10, 13, -32, -12, -1, 0, -2, 9, -6, 5, -2, 17, -2, -12, 5, 4, -4, -14, -18, 4, 5, -6, -14, -24, 1, -14, 10, 0, 0, 11, 8, -25, -9, 2, -2, 36, 1, 52, -18, 10, -6, 10, -5, 14, 1, -9, 5, 18, -5, 6, -4, 0, 10, 10, 2, 8, 12, -12, 4, 4, 2, -8, 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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, -2], [-1, 0], [-1, 1], [1, 0], [-5, 0], [1, -1], [0, -5], [-2, 0], [-1, 1], [-1, 1], [5, -5], [0, 1], [0, -2], [1, -1], [2, -2], [-5, 5], [0, 0], [0, -1], [-1, 1], [-5, 0], [-1, 0], [-2, 2], [-9, 0], [0, 1], [4, 0], [0, 1], [0, -5], [0, -5], [2, -2], [1, 0], [4, -7], [-2, 0], [5, -5], [0, -1], [0, -6], [0, -2], [4, 0], [0, 5], [-1, 0], [0, 0], [9, 0], [-1, 0], [3, -3], [0, 1], [5, 0], [-5, 5], [-6, 6], [-1, 1], [0, -5], [0, 2], [2, -2], [-9, 9], [-3, 3], [1, 0], [0, 0], [4, -4], [2, 0], [1, 0], [5, -5], [-5, 0], [0, 9], [-5, 0], [0, 0], [0, -2], [0, 12], [1, -1], [-12, 0], [-3, -4], [-1, 0], [-2, 2], [0, 10], [0, -5], [0, -16], [-1, 0], [0, -1], [-6, 0], [2, -2], [-2, 0], [5, 0], [4, -4], [0, -9], [5, 0], [14, -14], [-1, 1], [-10, 10], [0, 0], [0, 4], [9, -9], [2, -2], [-1, 1], [-18, 0], [0, -3], [5, -5], [1, 0]], 'ap': [[1, -1], [0, 1], [0, 1], [0, -2], [-5, 0], [0, -5], [5, -5], [0, -2], [0, 0], [-9, 0], [4, 0], [4, -7], [0, -6], [4, 0], [9, 0], [-6, 6], [-3, 3], [0, 0], [0, 9], [0, 12], [-12, 0], [0, -16], [2, -2], [14, -14], [-18, 0], [5, 0], [-4, 0], [0, 2], [-14, 14], [-15, 15], [2, -2], [-11, 11], [-3, 0], [16, -16], [15, 0], [0, -8], [13, -13], [9, -9], [0, 17], [-14, 14], [-12, 0], [0, -14], [18, 0], [26, 0], [10, -10], [7, 0], [4, 0], [12, 0], [0, -18], [0, 4], [18, 0], [20, -20], [0, -25], [-7, 0], [13, -13], [0, 28], [6, 0], [1, -1], [0, 1], [-10, 10], [0, 15], [0, -10], [-16, 0], [24, -24], [14, -14], [-18, 18], [-28, 28], [0, -14], [18, 0], [20, -20], [2, -2], [-18, 0], [0, 4], [0, -10], [6, -6], [0, 15], [0, 14], [-23, 0], [-30, 0], [25, -25], [36, -36], [20, 0], [0, -36], [24, 0], [0, -1], [-10, 0], [0, -20], [0, -32], [-7, 7], [0, 26], [18, 0], [30, -30], [26, 0], [-36, 0], [0, -32], [-5, 5], [-26, 26], [0, 20], [0, 28], [-32, 0], [-44, 0], [-14, 14], [24, 0], [-30, 0], [-2, 2], [-12, 12], [0, -42], [11, 0], [0, 10], [-13, 13], [-34, 34], [43, -43], [3, -3], [10, 0], [-25, 25], [0, 0], [19, 0], [0, -19], [0, -28], [0, 27], [0, -32], [0, -6], [-20, 0], [34, -34], [10, -10], [5, -5], [24, 0], [-6, 6], [0, 28], [0, 33], [10, 0], [0, -27], [3, 0], [-22, 22], [48, -48], [15, 0], [0, 6], [-7, 0], [-32, 32], [0, -50], [0, 16], [0, 33], [-34, 34], [0, -22], [-26, 26], [-4, 4], [47, -47], [43, 0], [10, 0], [-21, 21], [43, 0], [0, 32], [0, -47], [8, 0], [0, 4], [-34, 0], [-25, 0], [0, 4], [34, -34], [-14, 14], [6, -6], [31, -31], [0, 6], [-52, 52], [41, -41], [-48, 48], [-3, 0], [-3, 3], [1, 0], [24, 0], [24, -24], [28, -28], [0, 48], [0, 22], [0, 56], [0, 10], [28, -28], [6, -6], [2, 0], [0, 0], [6, 0], [0, 9], [38, -38], [0, 5], [0, 1], [-39, 0], [0, 47], [0, 11], [0, 25], [0, -46], [16, 0], [-24, 24], [0, -62], [0, -21], [0, 8], [45, -45], [23, -23], [-30, 0], [0, -35], [-49, 49], [-35, 0], [-11, 0], [63, -63], [10, -10], [27, 0], [0, 6], [-23, 23], [-36, 36], [-34, 0], [0, 32], [8, -8], [61, 0], [52, 0], [-6, 6], [0, -46], [27, 0], [0, 62], [-14, 0], [3, -3], [0, 44], [44, -44], [0, 36], [0, 72], [64, -64], [-18, 18], [-38, 0], [-45, 0], [0, 2], [0, -18], [-36, 0], [18, 0], [-18, 18], [-5, 5], [-18, 0], [0, -47], [0, -11], [30, -30], [0, -6], [0, -59], [38, 0], [54, 0], [22, 0], [10, 0], [0, 78], [-30, 0], [0, -60], [0, -28], [-41, 41], [2, -2], [-9, 0], [-41, 0], [4, 0], [24, -24], [0, -37], [18, -18], [-49, 49], [0, 4], [-11, 0], [-20, 20], [36, 0], [-36, 36], [24, -24], [0, 22], [3, -3], [0, -1], [0, 18], [0, 51], [0, 28], [-31, 31], [76, 0], [-52, 52], [57, 0], [-74, 0], [67, -67], [12, 0], [0, 12], [-80, 0], [0, -6], [31, -31], [-33, 33], [-13, 0], [0, 47], [0, 7], [34, 0], [-67, 67], [-62, 62], [56, 0], [-30, 0], [63, 0], [60, -60], [66, 0], [-48, 48], [-51, 0], [0, -60], [-57, 57], [-39, 39], [-64, 0], [-56, 56], [0, 36], [-1, 0], [0, 38], [-50, 0], [-51, 0]], 'char_orbit_index': 9, 'field_poly': [1, -1, 1], 'hecke_orbit_code': 22518547926221910, '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.f', '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: 648588
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 6, 'source_is_minimal': True, 'source_label': '1110.2.i.f', 'source_level': 1110, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 6, 'target_is_minimal': True, 'target_label': '1110.2.i.f', 'target_level': 1110, 'twist_class_label': '1110.2.i.f', 'twist_class_level': 1110, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 648589
{'conductor': 37, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 6, 'source_is_minimal': True, 'source_label': '1110.2.i.f', 'source_level': 1110, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 6, 'target_is_minimal': True, 'target_label': '1110.2.i.f', 'target_level': 1110, 'twist_class_label': '1110.2.i.f', '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: 1679825
{'charpoly_factorization': [[[1, -1, 1], 1]], 'hecke_orbit_code': 22518547926221910, 'p': 2}
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id: 1679826
{'charpoly_factorization': [[[1, -1, 1], 1]], 'hecke_orbit_code': 22518547926221910, 'p': 3}
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id: 1679827
{'charpoly_factorization': [[[1, -1, 1], 1]], 'hecke_orbit_code': 22518547926221910, 'p': 5}
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id: 1679828
{'charpoly_factorization': [[[4, 2, 1], 1]], 'hecke_orbit_code': 22518547926221910, 'p': 7}
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id: 1679829
{'charpoly_factorization': [[[5, 1], 2]], 'hecke_orbit_code': 22518547926221910, 'p': 11}
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id: 1679830
{'charpoly_factorization': [[[25, 5, 1], 1]], 'hecke_orbit_code': 22518547926221910, 'p': 13}
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id: 1679831
{'charpoly_factorization': [[[25, -5, 1], 1]], 'hecke_orbit_code': 22518547926221910, 'p': 17}
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id: 1679832
{'charpoly_factorization': [[[4, 2, 1], 1]], 'hecke_orbit_code': 22518547926221910, 'p': 19}
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id: 1679833
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 22518547926221910, 'p': 23}
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id: 1679834
{'charpoly_factorization': [[[9, 1], 2]], 'hecke_orbit_code': 22518547926221910, 'p': 29}
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id: 1679835
{'charpoly_factorization': [[[-4, 1], 2]], 'hecke_orbit_code': 22518547926221910, 'p': 31}
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id: 1679836
{'charpoly_factorization': [[[37, -1, 1], 1]], 'hecke_orbit_code': 22518547926221910, 'p': 37}
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id: 1679837
{'charpoly_factorization': [[[36, 6, 1], 1]], 'hecke_orbit_code': 22518547926221910, 'p': 41}
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id: 1679838
{'charpoly_factorization': [[[-4, 1], 2]], 'hecke_orbit_code': 22518547926221910, 'p': 43}
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id: 1679839
{'charpoly_factorization': [[[-9, 1], 2]], 'hecke_orbit_code': 22518547926221910, 'p': 47}
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id: 1679840
{'charpoly_factorization': [[[36, 6, 1], 1]], 'hecke_orbit_code': 22518547926221910, 'p': 53}
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id: 1679841
{'charpoly_factorization': [[[9, 3, 1], 1]], 'hecke_orbit_code': 22518547926221910, 'p': 59}
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id: 1679842
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 22518547926221910, 'p': 61}
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id: 1679843
{'charpoly_factorization': [[[81, -9, 1], 1]], 'hecke_orbit_code': 22518547926221910, 'p': 67}
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id: 1679844
{'charpoly_factorization': [[[144, -12, 1], 1]], 'hecke_orbit_code': 22518547926221910, 'p': 71}
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id: 1679845
{'charpoly_factorization': [[[12, 1], 2]], 'hecke_orbit_code': 22518547926221910, 'p': 73}
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id: 1679846
{'charpoly_factorization': [[[256, 16, 1], 1]], 'hecke_orbit_code': 22518547926221910, 'p': 79}
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id: 1679847
{'charpoly_factorization': [[[4, -2, 1], 1]], 'hecke_orbit_code': 22518547926221910, 'p': 83}
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id: 1679848
{'charpoly_factorization': [[[196, -14, 1], 1]], 'hecke_orbit_code': 22518547926221910, 'p': 89}
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id: 1679849
{'charpoly_factorization': [[[18, 1], 2]], 'hecke_orbit_code': 22518547926221910, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 9, 'hecke_orbit': 6, 'label': '1110.2.i.f', '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: 44611273
{'hecke_orbit_code': 22518547926221910, 'n': 1, 'trace_an': 2}
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id: 44611274
{'hecke_orbit_code': 22518547926221910, 'n': 2, 'trace_an': 1}
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id: 44611275
{'hecke_orbit_code': 22518547926221910, 'n': 3, 'trace_an': 1}
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id: 44611276
{'hecke_orbit_code': 22518547926221910, 'n': 4, 'trace_an': -1}
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id: 44611277
{'hecke_orbit_code': 22518547926221910, 'n': 5, 'trace_an': 1}
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id: 44611278
{'hecke_orbit_code': 22518547926221910, 'n': 6, 'trace_an': 2}
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id: 44611279
{'hecke_orbit_code': 22518547926221910, 'n': 7, 'trace_an': -2}
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id: 44611280
{'hecke_orbit_code': 22518547926221910, 'n': 8, 'trace_an': -2}
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id: 44611281
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id: 44611530
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