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mf_newforms • Show schema
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{'Nk2': 1764, 'analytic_conductor': 3.521402729138465, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 63, 'char_degree': 2, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 15, 'char_orbit_label': 'o', 'char_order': 6, 'char_parity': 1, 'char_values': [441, 6, [344, 199], [1, 3]], 'cm_discs': [], 'conrey_index': 146, 'conrey_indexes': [146, 293], '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': [[2, [3, -3, 1]], [5, [9, 3, 1]]], 'hecke_orbit': 1, 'hecke_orbit_code': 962106229177, '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, 63, 15, 1, 6, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '441.2.o.a', 'level': 441, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [3, 7], 'level_radical': 21, 'minimal_twist': '63.2.i.a', 'nf_label': '2.0.3.1', 'prim_orbit_index': 15, 'qexp_display': 'q+(1+\\zeta_{6})q^{2}+(-2+\\zeta_{6})q^{3}+\\zeta_{6}q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c6', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '441.2.o', 'trace_display': [3, -3, -3, 0], 'trace_hash': 972276062766890752, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '12.426', 'prec': 20}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '107.775', 'prec': 24}], 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mf_hecke_nf • Show schema
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{'an': [[1, 0], [1, 1], [-2, 1], [0, 1], [0, -3], [-3, 0], [0, 0], [1, -2], [3, -3], [3, -6], [-1, -1], [-1, -1], [2, -1], [0, 0], [3, 3], [5, -5], [3, 0], [6, -3], [3, -6], [3, -3], [0, 0], [0, -3], [-6, 3], [0, 3], [-4, 4], [3, 0], [-3, 6], [0, 0], [-3, -3], [0, 9], [-4, 2], [6, -3], [3, 0], [3, 3], [0, 0], [3, 0], [7, 0], [9, -9], [-3, 3], [-6, 3], [0, -3], [0, 0], [-1, 1], [1, -2], [-9, 0], [-9, 0], [0, 0], [-5, 10], [0, 0], [-8, 4], [-6, 3], [1, 1], [5, -10], [-9, 9], [-3, 6], [0, 0], [0, 9], [0, -9], [0, 0], [-3, 6], [8, 8], [-6, 0], [0, 0], [-1, 0], [-3, -3], [3, 3], [0, 4], [0, 3], [9, -9], [0, 0], [-2, 4], [-3, -3], [-3, 6], [7, 7], [4, -8], [6, -3], [0, 0], [-6, 3], [-8, 8], [-15, 0], [0, -9], [3, -6], [15, -15], [0, 0], [0, -9], [-2, 1], [9, 0], [-3, 3], [3, 0], [-9, -9], [0, 0], [-3, -3], [6, -6], [0, 0], [-18, 9], [-9, 9], [1, 1], [0, 0], [-6, 3], [-4, 0]], 'ap': [[1, 1], [-2, 1], [0, -3], [0, 0], [-1, -1], [2, -1], [3, 0], [3, -6], [-6, 3], [-3, -3], [-4, 2], [7, 0], [0, -3], [-1, 1], [0, 0], [5, -10], [0, 0], [8, 8], [0, 4], [-2, 4], [-3, 6], [-8, 8], [15, -15], [3, 0], [1, 1], [-3, 3], [-14, 7], [-5, 10], [19, 0], [2, -1], [20, 0], [0, -9], [7, 7], [10, -5], [-2, 1], [17, -17], [0, 0], [11, 0], [0, 9], [6, -6], [-9, 18], [0, 0], [10, 10], [0, 2], [8, -16], [-5, 10], [0, 5], [3, 3], [21, -21], [-10, 5], [3, -6], [2, -1], [-13, -13], [-12, 0], [0, -3], [-13, -13], [15, 0], [7, -14], [1, -1], [-11, -11], [4, -2], [0, 9], [14, -28], [0, 24], [-12, -12], [0, 0], [8, -8], [0, -19], [4, -2], [-7, -7], [21, -21], [-13, 26], [3, 3], [0, 37], [-20, 0], [0, -9], [-21, -21], [-5, 10], [38, -19], [-8, 4], [0, 33], [-11, 11], [-9, 18], [-8, 16], [18, 18], [-18, -18], [-20, 40], [26, -26], [-15, 15], [0, 1], [3, 0], [-27, 27], [-23, 0], [-30, 15], [0, -25], [24, 0], [0, 33], [-45, 0], [11, -22], [-13, 0], [19, -19], [-7, 14], [0, -36], [-4, -4], [0, -32], [-23, 46], [-21, 21], [39, 0], [28, -14], [17, 17], [18, -9], [47, 0], [-6, 3], [11, 11], [8, 0], [7, 7], [-14, 7], [-3, 0], [46, -23], [7, 7], [48, -24], [29, -29], [-18, 18], [-5, 10], [-2, -2], [-20, 40], [-10, 10], [-9, 0], [7, 7], [-50, 25], [-7, 0], [-14, 7], [0, -37], [10, 0], [0, 45], [18, -9], [51, 0], [-44, 22], [0, 45], [1, -2], [6, -12], [-4, -4], [0, 16], [14, -28], [21, -42], [39, -39], [-15, -15], [-27, 27], [58, -29], [-25, 50], [0, -23], [54, 0], [4, 0], [0, 15], [-19, 19], [3, 3], [-29, 0], [30, -30], [-8, 16], [0, -18], [30, 30], [-12, 24], [0, 25], [-57, 0], [48, -24], [-39, 39], [-47, 0], [-5, -5]], 'char_orbit_index': 15, 'field_poly': [1, -1, 1], 'hecke_orbit_code': 962106229177, 'hecke_ring_character_values': [[344, [0, 1]], [199, [-1, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 2, 'label': '441.2.o.a', 'level': 441, 'maxp': 997, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 1764, 'analytic_conductor': 3.521402729138465, 'char_conductor': 63, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 15, 'char_orbit_label': 'o', 'char_order': 6, 'char_parity': 1, 'char_values': [441, 6, [344, 199], [1, 3]], 'conrey_index': 146, 'cusp_dim': 96, 'dim': 72, 'eis_dim': 32, 'eis_new_dim': 16, 'hecke_cutter_primes': [2, 5], 'hecke_orbit_code': 962106229177, 'hecke_orbit_dims': [2, 2, 10, 10, 48], 'label': '441.2.o', 'level': 441, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [3, 7], 'level_radical': 21, 'mf_dim': 128, 'mf_new_dim': 88, 'num_forms': 5, 'prim_orbit_index': 15, 'relative_dim': 36, 'sturm_bound': 112, 'trace_bound': 3, 'trace_display': [6, 0, 0, 0], 'traces': [72, 6, 0, 34, 0, 0, 0, 0, 16, 0, -6, 0, 0, 0, -28, -26, 0, -10, 0, 0, 0, 4, -36, 0, -18, 0, 0, 0, -48, -18, 0, 42, 0, 0, 0, -32, 4, 0, 22, 0, 0, 0, 4, 0, 0, 16, 0, 0, 0, 30, 12, 0, 0, 0, 0, 0, 26, -2, 0, 6, 0, 0, 0, -40, 108, 0, -12, 0, 0, 0, 0, 62, 0, -66, 0, 0, 0, -58, 0, 0, -48, 0, 0, 0, -6, -90, 0, -22, 0, 0, 0, -84, -104, 0, 42, 0, 0, 0, -48, 28, 0, -92, 0, 0, 0, 22, 0, 0, -80, 0, 0, 0, 114, 70, 0, 0, 0, 0, 0, 250, 10, 0, -110, 0, 0, 0, -48, 132, 0, -78, 0, 0, 0, 0, -100, 0, 162, 0, 0, 0, -68, 70, 0, 54, 0, 0, 0, 22, -96, 0, 28, 0, 0, 0, -180, -134, 0, 54, 0, 0, 0, -74, 48, 0, 38, 0, 0, 0, -42, 0, 0, 112, 0, 0, 0, 162, 46, 0, 0, 0, 0, 0, 6, -34, 0, -28, 0, 0, 0, -12, 162, 0, 58, 0, 0, 0, 0, 52, 0, -102, 0, 0, 0, -64, -60, 0, -148, 0, 0, 0, 22, -36, 0, 46, 0, 0, 0, -54, -220, 0, 12, 0, 0, 0, 130, -8, 0, 146, 0, 0, 0, -4, 0, 0, 144, 0, 0, 0, 108, 168, 0, 0, 0, 0, 0, 118, -102, 0, 142, 0, 0, 0, -68, -234, 0, -46, 0, 0, 0, 0, 218, 0, 162, 0, 0, 0, -112, -10, 0, 320, 0, 0, 0, -80, -54, 0, -36, 0, 0, 0, 156, 48, 0, -396, 0, 0, 0, 46, -156, 0, 106, 0, 0, 0, -18, 0, 0, -344, 0, 0, 0, -54, 114, 0, 0, 0, 0, 0, 86, 156, 0, 158, 0, 0, 0, -4, 108, 0, -8, 0, 0, 0, 0, -34, 0, -210, 0, 0, 0, 134, 22, 0, -182, 0, 0, 0, -98, -360, 0, 84, 0, 0, 0, 186, 80, 0, -114, 0, 0, 0, 66, 120, 0, 66, 0, 0, 0, -20, 0, 0, 72, 0, 0, 0, 78, 76, 0, 0, 0, 0, 0, -98, 60, 0, -52, 0, 0, 0, 100, 114, 0, 100, 0, 0, 0, 0, -142, 0, -312, 0, 0, 0, 260, -14, 0, 224, 0, 0, 0, 130, 336, 0, 24, 0, 0, 0, -174, -222, 0, 174, 0, 0, 0, -450, -36, 0, -88, 0, 0, 0, 84, 0, 0, 152, 0, 0, 0, -486, -108, 0, 0, 0, 0, 0, -390, -98, 0, -358, 0, 0, 0, -48, -84, 0, -78, 0, 0, 0, 0, 220, 0, -144, 0, 0, 0, -326, -26, 0, -92, 0, 0, 0, 36, 60, 0, -80, 0, 0, 0, -96, 254, 0, -18, 0, 0, 0, 100, -224, 0, -94, 0, 0, 0, 86, 0, 0, -224, 0, 0, 0, 36, -76, 0, 0, 0, 0, 0, 144, 94, 0, 234, 0, 0, 0, -48, -192, 0, -64, 0, 0, 0, 0, 114, 0, 108, 0, 0, 0, -26, 270, 0, 20, 0, 0, 0, -26, -78, 0, 28, 0, 0, 0, -186, 56, 0, 510, 0, 0, 0, -176, 60, 0, -262, 0, 0, 0, -78, 0, 0, 172, 0, 0, 0, 12, -78, 0, 0, 0, 0, 0, 214, -26, 0, -54, 0, 0, 0, 260, -12, 0, 240, 0, 0, 0, 0, -580, 0, 678, 0, 0, 0, 220, -80, 0, -118, 0, 0, 0, -6, 228, 0, -78, 0, 0, 0, 372, 316, 0, -216, 0, 0, 0, 192, -32, 0, -292, 0, 0, 0, -108, 0, 0, 228, 0, 0, 0, 390, -442, 0, 0, 0, 0, 0, 102, -48, 0, 222, 0, 0, 0, -228, 606, 0, -218, 0, 0, 0, 0, -62, 0, -60, 0, 0, 0, 22, -216, 0, -528, 0, 0, 0, -64, 0, 0, -108, 0, 0, 0, -42, -236, 0, 690, 0, 0, 0, 454, -152, 0, 146, 0, 0, 0, -80, 0, 0, -572, 0, 0, 0, -168, 72, 0, 0, 0, 0, 0, -456, 78, 0, -32, 0, 0, 0, -80, -744, 0, -6, 0, 0, 0, 0, 442, 0, 192, 0, 0, 0, 378, 160, 0, 330, 0, 0, 0, 156, 498, 0, 172, 0, 0, 0, 768, 212, 0, -384, 0, 0, 0, 466, 672, 0, 80, 0, 0, 0, 156, 0, 0, 180, 0, 0, 0, 0, -520, 0, 0, 0, 0, 0, -182, -32, 0, 24, 0, 0, 0, 64, -390, 0, 258, 0, 0, 0, 0, -296, 0, 246, 0, 0, 0, -90, -56, 0, -38, 0, 0, 0, 52, -228, 0, 64, 0, 0, 0, 144, 178, 0, -144, 0, 0, 0, 138, 84, 0, 656, 0, 0, 0, 54, 0, 0, 352, 0, 0, 0, -498, 206, 0, 0, 0, 0, 0, -434, -178, 0, 24, 0, 0, 0, 108, 180, 0, -180, 0, 0, 0, 0, -258, 0, -588, 0, 0, 0, 288, -12, 0, 78, 0, 0, 0, -80, 738, 0, -266, 0, 0, 0, -558, -188, 0, -474, 0, 0, 0, -326, -292, 0, -410, 0, 0, 0, 64, 0, 0, -312, 0, 0, 0, -564, 212, 0, 0, 0, 0, 0, -842, 144, 0, -504, 0, 0, 0, 328, -444, 0, 130, 0, 0, 0, 0, -32, 0, 300, 0, 0, 0, -424, 58, 0, -34, 0, 0, 0, 122, 18, 0, -86, 0, 0, 0, -420, 924, 0, 66, 0, 0, 0, -822, 160, 0, 24, 0, 0, 0, 40, 0, 0, 192, 0, 0, 0, -558, -298, 0, 0, 0, 0, 0, 128, -18, 0, 116, 0, 0, 0, -148, -354, 0, 48, 0, 0, 0, 0, 188, 0, -696, 0, 0, 0, -42, -234, 0, 72, 0, 0, 0, -126, -282, 0, 150, 0, 0, 0, 396, 256, 0, 486, 0, 0, 0, 70, -632, 0, -730, 0, 0, 0, -90, 0, 0, 172, 0, 0, 0, 546, 6, 0, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 321207
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 15, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '441.2.o.a', 'source_level': 441, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '63.2.i.a', 'target_level': 63, 'twist_class_label': '63.2.i.a', 'twist_class_level': 63, 'twisting_char_label': '7.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 321208
{'conductor': 63, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 15, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '441.2.o.a', 'source_level': 441, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '63.2.i.a', 'target_level': 63, 'twist_class_label': '63.2.i.a', 'twist_class_level': 63, 'twisting_char_label': '63.s', 'twisting_char_orbit': 19, 'weight': 2}
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id: 321209
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 15, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '441.2.o.a', 'source_level': 441, 'target_char_orbit': 19, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '63.2.s.a', 'target_level': 63, 'twist_class_label': '63.2.i.a', 'twist_class_level': 63, 'twisting_char_label': '7.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 321210
{'conductor': 63, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 15, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '441.2.o.a', 'source_level': 441, 'target_char_orbit': 19, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '63.2.s.a', 'target_level': 63, 'twist_class_label': '63.2.i.a', 'twist_class_level': 63, 'twisting_char_label': '63.j', 'twisting_char_orbit': 10, 'weight': 2}
-
id: 321211
{'conductor': 21, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 15, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '441.2.o.a', 'source_level': 441, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '189.2.i.a', 'target_level': 189, 'twist_class_label': '63.2.i.a', 'twist_class_level': 63, 'twisting_char_label': '21.h', 'twisting_char_orbit': 8, 'weight': 2}
-
id: 321212
{'conductor': 63, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 15, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '441.2.o.a', 'source_level': 441, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '189.2.i.a', 'target_level': 189, 'twist_class_label': '63.2.i.a', 'twist_class_level': 63, 'twisting_char_label': '63.k', 'twisting_char_orbit': 11, 'weight': 2}
-
id: 321213
{'conductor': 21, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 15, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '441.2.o.a', 'source_level': 441, 'target_char_orbit': 19, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '189.2.s.a', 'target_level': 189, 'twist_class_label': '63.2.i.a', 'twist_class_level': 63, 'twisting_char_label': '21.g', 'twisting_char_orbit': 7, 'weight': 2}
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id: 321214
{'conductor': 63, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 15, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '441.2.o.a', 'source_level': 441, 'target_char_orbit': 19, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '189.2.s.a', 'target_level': 189, 'twist_class_label': '63.2.i.a', 'twist_class_level': 63, 'twisting_char_label': '63.h', 'twisting_char_orbit': 8, 'weight': 2}
-
id: 321215
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 15, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '441.2.o.a', 'source_level': 441, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '441.2.i.a', 'target_level': 441, 'twist_class_label': '63.2.i.a', 'twist_class_level': 63, 'twisting_char_label': '7.d', 'twisting_char_orbit': 4, 'weight': 2}
-
id: 321216
{'conductor': 63, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 15, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '441.2.o.a', 'source_level': 441, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '441.2.i.a', 'target_level': 441, 'twist_class_label': '63.2.i.a', 'twist_class_level': 63, 'twisting_char_label': '63.n', 'twisting_char_orbit': 14, 'weight': 2}
-
id: 321217
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 15, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '441.2.o.a', 'source_level': 441, 'target_char_orbit': 15, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '441.2.o.a', 'target_level': 441, 'twist_class_label': '63.2.i.a', 'twist_class_level': 63, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
-
id: 321218
{'conductor': 63, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 15, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '441.2.o.a', 'source_level': 441, 'target_char_orbit': 15, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '441.2.o.a', 'target_level': 441, 'twist_class_label': '63.2.i.a', 'twist_class_level': 63, 'twisting_char_label': '63.o', 'twisting_char_orbit': 15, 'weight': 2}
-
id: 321219
{'conductor': 7, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 15, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '441.2.o.a', 'source_level': 441, 'target_char_orbit': 15, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '441.2.o.b', 'target_level': 441, 'twist_class_label': '63.2.i.a', 'twist_class_level': 63, 'twisting_char_label': '7.b', 'twisting_char_orbit': 2, 'weight': 2}
-
id: 321220
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 15, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '441.2.o.a', 'source_level': 441, 'target_char_orbit': 15, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '441.2.o.b', 'target_level': 441, 'twist_class_label': '63.2.i.a', 'twist_class_level': 63, 'twisting_char_label': '9.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 321221
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 15, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '441.2.o.a', 'source_level': 441, 'target_char_orbit': 19, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '441.2.s.a', 'target_level': 441, 'twist_class_label': '63.2.i.a', 'twist_class_level': 63, 'twisting_char_label': '7.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 321222
{'conductor': 63, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 15, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '441.2.o.a', 'source_level': 441, 'target_char_orbit': 19, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '441.2.s.a', 'target_level': 441, 'twist_class_label': '63.2.i.a', 'twist_class_level': 63, 'twisting_char_label': '63.i', 'twisting_char_orbit': 9, 'weight': 2}
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id: 321223
{'conductor': 63, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 15, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '441.2.o.a', 'source_level': 441, 'target_char_orbit': 16, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '567.2.p.a', 'target_level': 567, 'twist_class_label': '63.2.i.a', 'twist_class_level': 63, 'twisting_char_label': '63.g', 'twisting_char_orbit': 7, 'weight': 2}
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id: 321224
{'conductor': 63, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 15, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '441.2.o.a', 'source_level': 441, 'target_char_orbit': 16, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '567.2.p.a', 'target_level': 567, 'twist_class_label': '63.2.i.a', 'twist_class_level': 63, 'twisting_char_label': '63.i', 'twisting_char_orbit': 9, 'weight': 2}
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id: 321225
{'conductor': 63, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 15, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '441.2.o.a', 'source_level': 441, 'target_char_orbit': 16, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '567.2.p.b', 'target_level': 567, 'twist_class_label': '63.2.i.a', 'twist_class_level': 63, 'twisting_char_label': '63.n', 'twisting_char_orbit': 14, 'weight': 2}
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id: 321226
{'conductor': 63, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 15, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '441.2.o.a', 'source_level': 441, 'target_char_orbit': 16, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '567.2.p.b', 'target_level': 567, 'twist_class_label': '63.2.i.a', 'twist_class_level': 63, 'twisting_char_label': '63.t', 'twisting_char_orbit': 20, 'weight': 2}
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id: 321227
{'conductor': 28, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 15, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '441.2.o.a', 'source_level': 441, 'target_char_orbit': 53, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '1008.2.ca.a', 'target_level': 1008, 'twist_class_label': '63.2.i.a', 'twist_class_level': 63, 'twisting_char_label': '28.g', 'twisting_char_orbit': 7, 'weight': 2}
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id: 321228
{'conductor': 252, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 15, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '441.2.o.a', 'source_level': 441, 'target_char_orbit': 53, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '1008.2.ca.a', 'target_level': 1008, 'twist_class_label': '63.2.i.a', 'twist_class_level': 63, 'twisting_char_label': '252.bn', 'twisting_char_orbit': 40, 'weight': 2}
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id: 321229
{'conductor': 28, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 15, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '441.2.o.a', 'source_level': 441, 'target_char_orbit': 84, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '1008.2.df.a', 'target_level': 1008, 'twist_class_label': '63.2.i.a', 'twist_class_level': 63, 'twisting_char_label': '28.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 321230
{'conductor': 252, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 15, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '441.2.o.a', 'source_level': 441, 'target_char_orbit': 84, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '1008.2.df.a', 'target_level': 1008, 'twist_class_label': '63.2.i.a', 'twist_class_level': 63, 'twisting_char_label': '252.bb', 'twisting_char_orbit': 28, 'weight': 2}
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id: 321231
{'conductor': 21, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 15, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '441.2.o.a', 'source_level': 441, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '1323.2.i.a', 'target_level': 1323, 'twist_class_label': '63.2.i.a', 'twist_class_level': 63, 'twisting_char_label': '21.g', 'twisting_char_orbit': 7, 'weight': 2}
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id: 321232
{'conductor': 63, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 15, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '441.2.o.a', 'source_level': 441, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '1323.2.i.a', 'target_level': 1323, 'twist_class_label': '63.2.i.a', 'twist_class_level': 63, 'twisting_char_label': '63.g', 'twisting_char_orbit': 7, 'weight': 2}
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id: 321233
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 15, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '441.2.o.a', 'source_level': 441, 'target_char_orbit': 15, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '1323.2.o.a', 'target_level': 1323, 'twist_class_label': '63.2.i.a', 'twist_class_level': 63, 'twisting_char_label': '9.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 321234
{'conductor': 21, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 15, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '441.2.o.a', 'source_level': 441, 'target_char_orbit': 15, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '1323.2.o.a', 'target_level': 1323, 'twist_class_label': '63.2.i.a', 'twist_class_level': 63, 'twisting_char_label': '21.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 321235
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 15, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '441.2.o.a', 'source_level': 441, 'target_char_orbit': 15, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '1323.2.o.b', 'target_level': 1323, 'twist_class_label': '63.2.i.a', 'twist_class_level': 63, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 321236
{'conductor': 63, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 15, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '441.2.o.a', 'source_level': 441, 'target_char_orbit': 15, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '1323.2.o.b', 'target_level': 1323, 'twist_class_label': '63.2.i.a', 'twist_class_level': 63, 'twisting_char_label': '63.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 321237
{'conductor': 21, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 15, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '441.2.o.a', 'source_level': 441, 'target_char_orbit': 19, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '1323.2.s.a', 'target_level': 1323, 'twist_class_label': '63.2.i.a', 'twist_class_level': 63, 'twisting_char_label': '21.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 321238
{'conductor': 63, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 15, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '441.2.o.a', 'source_level': 441, 'target_char_orbit': 19, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '1323.2.s.a', 'target_level': 1323, 'twist_class_label': '63.2.i.a', 'twist_class_level': 63, 'twisting_char_label': '63.t', 'twisting_char_orbit': 20, 'weight': 2}
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id: 321239
{'conductor': 84, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 15, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '441.2.o.a', 'source_level': 441, 'target_char_orbit': 53, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '3024.2.ca.a', 'target_level': 3024, 'twist_class_label': '63.2.i.a', 'twist_class_level': 63, 'twisting_char_label': '84.n', 'twisting_char_orbit': 14, 'weight': 2}
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id: 321240
{'conductor': 252, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 15, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '441.2.o.a', 'source_level': 441, 'target_char_orbit': 53, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '3024.2.ca.a', 'target_level': 3024, 'twist_class_label': '63.2.i.a', 'twist_class_level': 63, 'twisting_char_label': '252.n', 'twisting_char_orbit': 14, 'weight': 2}
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id: 321241
{'conductor': 84, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 15, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '441.2.o.a', 'source_level': 441, 'target_char_orbit': 84, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '3024.2.df.a', 'target_level': 3024, 'twist_class_label': '63.2.i.a', 'twist_class_level': 63, 'twisting_char_label': '84.j', 'twisting_char_orbit': 10, 'weight': 2}
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id: 321242
{'conductor': 252, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 15, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '441.2.o.a', 'source_level': 441, 'target_char_orbit': 84, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '3024.2.df.a', 'target_level': 3024, 'twist_class_label': '63.2.i.a', 'twist_class_level': 63, 'twisting_char_label': '252.u', 'twisting_char_orbit': 21, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 891600
{'charpoly_factorization': [[[3, -3, 1], 1]], 'hecke_orbit_code': 962106229177, 'p': 2}
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id: 891601
{'charpoly_factorization': [[[3, 3, 1], 1]], 'hecke_orbit_code': 962106229177, 'p': 3}
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id: 891602
{'charpoly_factorization': [[[9, 3, 1], 1]], 'hecke_orbit_code': 962106229177, 'p': 5}
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id: 891603
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 962106229177, 'p': 7}
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id: 891604
{'charpoly_factorization': [[[3, 3, 1], 1]], 'hecke_orbit_code': 962106229177, 'p': 11}
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id: 891605
{'charpoly_factorization': [[[3, -3, 1], 1]], 'hecke_orbit_code': 962106229177, 'p': 13}
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id: 891606
{'charpoly_factorization': [[[-3, 1], 2]], 'hecke_orbit_code': 962106229177, 'p': 17}
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id: 891607
{'charpoly_factorization': [[[27, 0, 1], 1]], 'hecke_orbit_code': 962106229177, 'p': 19}
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id: 891608
{'charpoly_factorization': [[[27, 9, 1], 1]], 'hecke_orbit_code': 962106229177, 'p': 23}
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id: 891609
{'charpoly_factorization': [[[27, 9, 1], 1]], 'hecke_orbit_code': 962106229177, 'p': 29}
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id: 891610
{'charpoly_factorization': [[[12, 6, 1], 1]], 'hecke_orbit_code': 962106229177, 'p': 31}
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id: 891611
{'charpoly_factorization': [[[-7, 1], 2]], 'hecke_orbit_code': 962106229177, 'p': 37}
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id: 891612
{'charpoly_factorization': [[[9, 3, 1], 1]], 'hecke_orbit_code': 962106229177, 'p': 41}
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id: 891613
{'charpoly_factorization': [[[1, 1, 1], 1]], 'hecke_orbit_code': 962106229177, 'p': 43}
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id: 891614
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 962106229177, 'p': 47}
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id: 891615
{'charpoly_factorization': [[[75, 0, 1], 1]], 'hecke_orbit_code': 962106229177, 'p': 53}
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id: 891616
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 962106229177, 'p': 59}
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id: 891617
{'charpoly_factorization': [[[192, -24, 1], 1]], 'hecke_orbit_code': 962106229177, 'p': 61}
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id: 891618
{'charpoly_factorization': [[[16, -4, 1], 1]], 'hecke_orbit_code': 962106229177, 'p': 67}
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id: 891619
{'charpoly_factorization': [[[12, 0, 1], 1]], 'hecke_orbit_code': 962106229177, 'p': 71}
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id: 891620
{'charpoly_factorization': [[[27, 0, 1], 1]], 'hecke_orbit_code': 962106229177, 'p': 73}
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id: 891621
{'charpoly_factorization': [[[64, 8, 1], 1]], 'hecke_orbit_code': 962106229177, 'p': 79}
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id: 891622
{'charpoly_factorization': [[[225, -15, 1], 1]], 'hecke_orbit_code': 962106229177, 'p': 83}
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id: 891623
{'charpoly_factorization': [[[-3, 1], 2]], 'hecke_orbit_code': 962106229177, 'p': 89}
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id: 891624
{'charpoly_factorization': [[[3, -3, 1], 1]], 'hecke_orbit_code': 962106229177, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 15, 'hecke_orbit': 1, 'label': '441.2.o.a', 'level': 441, 'portrait': 'data:image/png;base64,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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
-
id: 45411000
{'hecke_orbit_code': 962106229177, 'n': 1, 'trace_an': 2}
-
id: 45411001
{'hecke_orbit_code': 962106229177, 'n': 2, 'trace_an': 3}
-
id: 45411002
{'hecke_orbit_code': 962106229177, 'n': 3, 'trace_an': -3}
-
id: 45411003
{'hecke_orbit_code': 962106229177, 'n': 4, 'trace_an': 1}
-
id: 45411004
{'hecke_orbit_code': 962106229177, 'n': 5, 'trace_an': -3}
-
id: 45411005
{'hecke_orbit_code': 962106229177, 'n': 6, 'trace_an': -6}
-
id: 45411006
{'hecke_orbit_code': 962106229177, 'n': 7, 'trace_an': 0}
-
id: 45411007
{'hecke_orbit_code': 962106229177, 'n': 8, 'trace_an': 0}
-
id: 45411008
{'hecke_orbit_code': 962106229177, 'n': 9, 'trace_an': 3}
-
id: 45411009
{'hecke_orbit_code': 962106229177, 'n': 10, 'trace_an': 0}
-
id: 45411010
{'hecke_orbit_code': 962106229177, 'n': 11, 'trace_an': -3}
-
id: 45411011
{'hecke_orbit_code': 962106229177, 'n': 12, 'trace_an': -3}
-
id: 45411012
{'hecke_orbit_code': 962106229177, 'n': 13, 'trace_an': 3}
-
id: 45411013
{'hecke_orbit_code': 962106229177, 'n': 14, 'trace_an': 0}
-
id: 45411014
{'hecke_orbit_code': 962106229177, 'n': 15, 'trace_an': 9}
-
id: 45411015
{'hecke_orbit_code': 962106229177, 'n': 16, 'trace_an': 5}
-
id: 45411016
{'hecke_orbit_code': 962106229177, 'n': 17, 'trace_an': 6}
-
id: 45411017
{'hecke_orbit_code': 962106229177, 'n': 18, 'trace_an': 9}
-
id: 45411018
{'hecke_orbit_code': 962106229177, 'n': 19, 'trace_an': 0}
-
id: 45411019
{'hecke_orbit_code': 962106229177, 'n': 20, 'trace_an': 3}
-
id: 45411020
{'hecke_orbit_code': 962106229177, 'n': 21, 'trace_an': 0}
-
id: 45411021
{'hecke_orbit_code': 962106229177, 'n': 22, 'trace_an': -3}
-
id: 45411022
{'hecke_orbit_code': 962106229177, 'n': 23, 'trace_an': -9}
-
id: 45411023
{'hecke_orbit_code': 962106229177, 'n': 24, 'trace_an': 3}
-
id: 45411024
{'hecke_orbit_code': 962106229177, 'n': 25, 'trace_an': -4}
-
id: 45411025
{'hecke_orbit_code': 962106229177, 'n': 26, 'trace_an': 6}
-
id: 45411026
{'hecke_orbit_code': 962106229177, 'n': 27, 'trace_an': 0}
-
id: 45411027
{'hecke_orbit_code': 962106229177, 'n': 28, 'trace_an': 0}
-
id: 45411028
{'hecke_orbit_code': 962106229177, 'n': 29, 'trace_an': -9}
-
id: 45411029
{'hecke_orbit_code': 962106229177, 'n': 30, 'trace_an': 9}
-
id: 45411030
{'hecke_orbit_code': 962106229177, 'n': 31, 'trace_an': -6}
-
id: 45411031
{'hecke_orbit_code': 962106229177, 'n': 32, 'trace_an': 9}
-
id: 45411032
{'hecke_orbit_code': 962106229177, 'n': 33, 'trace_an': 6}
-
id: 45411033
{'hecke_orbit_code': 962106229177, 'n': 34, 'trace_an': 9}
-
id: 45411034
{'hecke_orbit_code': 962106229177, 'n': 35, 'trace_an': 0}
-
id: 45411035
{'hecke_orbit_code': 962106229177, 'n': 36, 'trace_an': 6}
-
id: 45411036
{'hecke_orbit_code': 962106229177, 'n': 37, 'trace_an': 14}
-
id: 45411037
{'hecke_orbit_code': 962106229177, 'n': 38, 'trace_an': 9}
-
id: 45411038
{'hecke_orbit_code': 962106229177, 'n': 39, 'trace_an': -3}
-
id: 45411039
{'hecke_orbit_code': 962106229177, 'n': 40, 'trace_an': -9}
-
id: 45411040
{'hecke_orbit_code': 962106229177, 'n': 41, 'trace_an': -3}
-
id: 45411041
{'hecke_orbit_code': 962106229177, 'n': 42, 'trace_an': 0}
-
id: 45411042
{'hecke_orbit_code': 962106229177, 'n': 43, 'trace_an': -1}
-
id: 45411043
{'hecke_orbit_code': 962106229177, 'n': 44, 'trace_an': 0}
-
id: 45411044
{'hecke_orbit_code': 962106229177, 'n': 45, 'trace_an': -18}
-
id: 45411045
{'hecke_orbit_code': 962106229177, 'n': 46, 'trace_an': -18}
-
id: 45411046
{'hecke_orbit_code': 962106229177, 'n': 47, 'trace_an': 0}
-
id: 45411047
{'hecke_orbit_code': 962106229177, 'n': 48, 'trace_an': 0}
-
id: 45411048
{'hecke_orbit_code': 962106229177, 'n': 49, 'trace_an': 0}
-
id: 45411049
{'hecke_orbit_code': 962106229177, 'n': 50, 'trace_an': -12}
-
id: 45411050
{'hecke_orbit_code': 962106229177, 'n': 51, 'trace_an': -9}
-
id: 45411051
{'hecke_orbit_code': 962106229177, 'n': 52, 'trace_an': 3}
-
id: 45411052
{'hecke_orbit_code': 962106229177, 'n': 53, 'trace_an': 0}
-
id: 45411053
{'hecke_orbit_code': 962106229177, 'n': 54, 'trace_an': -9}
-
id: 45411054
{'hecke_orbit_code': 962106229177, 'n': 55, 'trace_an': 0}
-
id: 45411055
{'hecke_orbit_code': 962106229177, 'n': 56, 'trace_an': 0}
-
id: 45411056
{'hecke_orbit_code': 962106229177, 'n': 57, 'trace_an': 9}
-
id: 45411057
{'hecke_orbit_code': 962106229177, 'n': 58, 'trace_an': -9}
-
id: 45411058
{'hecke_orbit_code': 962106229177, 'n': 59, 'trace_an': 0}
-
id: 45411059
{'hecke_orbit_code': 962106229177, 'n': 60, 'trace_an': 0}
-
id: 45411060
{'hecke_orbit_code': 962106229177, 'n': 61, 'trace_an': 24}
-
id: 45411061
{'hecke_orbit_code': 962106229177, 'n': 62, 'trace_an': -12}
-
id: 45411062
{'hecke_orbit_code': 962106229177, 'n': 63, 'trace_an': 0}
-
id: 45411063
{'hecke_orbit_code': 962106229177, 'n': 64, 'trace_an': -2}
-
id: 45411064
{'hecke_orbit_code': 962106229177, 'n': 65, 'trace_an': -9}
-
id: 45411065
{'hecke_orbit_code': 962106229177, 'n': 66, 'trace_an': 9}
-
id: 45411066
{'hecke_orbit_code': 962106229177, 'n': 67, 'trace_an': 4}
-
id: 45411067
{'hecke_orbit_code': 962106229177, 'n': 68, 'trace_an': 3}
-
id: 45411068
{'hecke_orbit_code': 962106229177, 'n': 69, 'trace_an': 9}
-
id: 45411069
{'hecke_orbit_code': 962106229177, 'n': 70, 'trace_an': 0}
-
id: 45411070
{'hecke_orbit_code': 962106229177, 'n': 71, 'trace_an': 0}
-
id: 45411071
{'hecke_orbit_code': 962106229177, 'n': 72, 'trace_an': -9}
-
id: 45411072
{'hecke_orbit_code': 962106229177, 'n': 73, 'trace_an': 0}
-
id: 45411073
{'hecke_orbit_code': 962106229177, 'n': 74, 'trace_an': 21}
-
id: 45411074
{'hecke_orbit_code': 962106229177, 'n': 75, 'trace_an': 0}
-
id: 45411075
{'hecke_orbit_code': 962106229177, 'n': 76, 'trace_an': 9}
-
id: 45411076
{'hecke_orbit_code': 962106229177, 'n': 77, 'trace_an': 0}
-
id: 45411077
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