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mf_newforms • Show schema
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{'Nk2': 312, 'analytic_conductor': 0.622833135765987, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 13, 'char_degree': 2, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 9, 'char_orbit_label': 'i', 'char_order': 6, 'char_parity': 1, 'char_values': [78, 6, [53, 67], [6, 1]], 'cm_discs': [], 'conrey_index': 43, 'conrey_indexes': [43, 49], 'dim': 4, 'field_disc': 144, 'field_disc_factorization': [[2, 4], [3, 2]], 'field_poly': [1, 0, -1, 0, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 12, 'has_non_self_twist': 1, 'hecke_cutters': [[5, [3, 0, 1]]], 'hecke_orbit': 2, 'hecke_orbit_code': 4504149416738894, '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, 13, 5, 1, 6, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '78.2.i.b', 'level': 78, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [2, 3, 13], 'level_radical': 78, 'minimal_twist': '78.2.i.b', 'nf_label': '4.0.144.1', 'prim_orbit_index': 5, 'qexp_display': 'q+\\zeta_{12}q^{2}+(1-\\zeta_{12}^{2})q^{3}+\\zeta_{12}^{2}q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c6', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '78.2.i', 'trace_display': [0, 2, 0, -6], 'trace_hash': 2211268189837617129, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.018', 'prec': 17}, {'__RealLiteral__': 0, 'data': '4.009', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.966', 'prec': 17}, {'__RealLiteral__': 0, 'data': '62.512', 'prec': 20}, {'__RealLiteral__': 0, 'data': '28.333', 'prec': 20}, {'__RealLiteral__': 0, 'data': '1572.826', 'prec': 27}], 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'weight': 2, 'weight_parity': 1}
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mf_hecke_nf • Show schema
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{'an': [[1, 0, 0, 0], [0, 1, 0, 0], [1, 0, -1, 0], [0, 0, 1, 0], [1, 0, -2, 0], [0, 1, 0, -1], [-2, -3, 1, 3], [0, 0, 0, 1], [0, 0, -1, 0], [0, 1, 0, -2], [1, 3, 1, 0], [1, 0, 0, 0], [-2, -3, 2, 0], [-3, -2, 0, 1], [-1, 0, -1, 0], [-1, 0, 1, 0], [0, -3, 0, -3], [0, 0, 0, -1], [-2, 3, 1, -3], [2, 0, -1, 0], [-1, 0, 2, 3], [0, 1, 3, 1], [-3, 3, 3, -6], [0, 1, 0, 0], [2, 0, 0, 0], [0, -2, -3, 2], [-1, 0, 0, 0], [-1, -3, -1, 0], [3, 0, -3, 0], [0, -1, 0, -1], [2, 0, -4, 6], [0, -1, 0, 1], [2, 3, -1, -3], [3, 0, -6, 0], [0, 3, 3, 3], [1, 0, -1, 0], [0, 3, 0, 0], [3, -2, 0, 1], [0, -3, 2, 3], [0, 2, 0, -1], [2, -3, 2, 0], [-3, -1, 3, 2], [0, 3, 1, 3], [-1, 0, 2, 3], [-2, 0, 1, 0], [6, -3, -3, 3], [1, 0, -2, 3], [0, 0, 1, 0], [5, 6, -5, -12], [0, 2, 0, 0], [0, -6, 0, 3], [-2, 0, 0, -3], [3, 0, 0, 0], [0, -1, 0, 0], [3, 3, -3, -6], [0, -1, -3, -1], [-1, 0, 2, -3], [0, 3, 0, -3], [-16, 0, 8, 0], [1, 0, -2, 0], [0, 3, -10, 3], [-6, 2, 6, -4], [1, 3, 1, 0], [-1, 0, 0, 0], [2, -3, 2, 6], [3, 2, 0, -1], [-1, -9, -1, 0], [0, 3, 0, -6], [0, -3, 3, -3], [-3, 0, 6, 3], [6, 3, -3, -3], [0, 1, 0, -1], [-7, 0, 14, 0], [0, 0, 3, 0], [2, 0, -2, 0], [-1, 3, -1, 0], [-12, -12, 0, 6], [-3, 0, 0, 2], [-2, -12, 0, 6], [1, 0, 1, 0], [-1, 0, 1, 0], [0, 2, -3, 2], [5, 0, -10, -3], [-2, -3, 1, 3], [0, -9, 0, 9], [-3, 0, 6, 1], [0, 0, -3, 0], [-3, -1, 3, 2], [-2, 6, -2, 0], [0, -2, 0, 1], [11, 6, -4, -9], [-3, 6, 0, -3], [-2, 6, -2, 0], [-3, 1, 3, -2], [0, -3, 3, -3], [0, 0, 0, 1], [0, 6, 0, -6], [12, 5, -6, -5], [1, 0, -2, -3], [0, 0, 2, 0]], 'ap': [[0, 1, 0, 0], [1, 0, -1, 0], [1, 0, -2, 0], [-2, -3, 1, 3], [1, 3, 1, 0], [-2, -3, 2, 0], [0, -3, 0, -3], [-2, 3, 1, -3], [-3, 3, 3, -6], [3, 0, -3, 0], [2, 0, -4, 6], [0, 3, 0, 0], [2, -3, 2, 0], [0, 3, 1, 3], [1, 0, -2, 3], [3, 0, 0, 0], [-16, 0, 8, 0], [0, 3, -10, 3], [-1, -9, -1, 0], [6, 3, -3, -3], [-7, 0, 14, 0], [-2, -12, 0, 6], [5, 0, -10, -3], [-2, 6, -2, 0], [0, 6, 0, -6], [9, -6, -9, 12], [-1, 6, 0, -3], [-3, -3, 3, 6], [-6, 0, 12, 6], [0, -3, -6, -3], [-4, 0, 4, 0], [6, 12, 0, -6], [0, 9, 0, -9], [0, 0, 4, 0], [-14, -6, 7, 6], [-1, 0, 2, -9], [2, -6, 0, 3], [-4, -6, 2, 6], [2, -6, 2, 0], [0, 6, 6, 6], [-3, -3, 3, 6], [-4, 18, 0, -9], [0, -12, 0, -12], [3, -18, 3, 0], [-4, 0, -4, 0], [0, 9, -7, 9], [14, -6, -14, 12], [4, 12, 4, 0], [6, -15, -3, 15], [8, 0, -16, -6], [18, 0, 0, 0], [9, 0, -18, -9], [6, -6, -3, 6], [0, -6, 6, -6], [18, -3, -18, 6], [-3, 3, 3, -6], [0, 6, 18, 6], [0, 0, 0, 0], [0, 3, 10, 3], [2, 0, -4, -21], [-25, -3, 25, 6], [10, 6, -5, -6], [1, 0, -2, -9], [3, -6, 0, 3], [-14, -12, 0, 6], [-7, 0, 14, -6], [0, 12, 0, -12], [31, 0, 0, 0], [0, 9, -3, 9], [-2, 6, -2, 0], [-12, 15, -12, 0], [11, 0, -22, -3], [19, 3, -19, -6], [0, -15, 2, -15], [14, -6, 14, 0], [20, -6, -10, 6], [3, 12, 0, -6], [12, 6, -6, -6], [0, 21, 0, 0], [10, -12, -5, 12], [-6, -6, 6, 12], [-2, 0, 4, -3], [3, -33, 3, 0], [0, -12, -13, -12], [1, 9, -1, -18], [6, -12, 0, 6], [-4, -30, 2, 30], [-15, 6, -15, 0], [-30, 6, 15, -6], [-3, 0, 6, 21], [-21, -18, 0, 9], [-10, -18, -10, 0], [14, -3, -7, 3], [-15, 9, 15, -18], [0, 0, 0, 0], [0, 9, 3, 9], [5, -18, 5, 0], [-24, 6, 0, -3], [-17, 9, 17, -18], [8, 0, -16, -3], [-1, -6, 0, 3], [-1, 24, -1, 0], [0, 12, -12, 12], [-12, -12, 12, 24], [19, -6, 0, 3], [-1, 0, 2, -18], [0, 0, 0, 0], [-8, 0, 16, 33], [6, -12, 0, 6], [-1, -12, 1, 24], [0, 12, 28, 12], [8, 27, 8, 0], [-12, 21, 6, -21], [6, 0, -12, 18], [-16, -12, 8, 12], [0, 3, -36, 3], [-32, 0, 16, 0], [-18, 18, 18, -36], [18, 18, -18, -36], [0, -18, 6, -18], [0, 9, 0, 0], [1, 0, -1, 0], [-6, 12, 0, -6], [-32, 0, 16, 0], [13, -3, 13, 0], [6, -12, 0, 6], [-28, 21, 14, -21], [0, 6, 42, 6], [19, 6, 0, -3], [10, 0, -20, 3], [-4, -12, -4, 0], [-6, 6, -6, 0], [1, -15, -1, 30], [2, -12, -2, 24], [12, -6, -6, 6], [-16, -6, -16, 0], [-24, -30, 12, 30], [-4, 18, 2, -18], [0, 0, 6, 0], [42, 3, -42, -6], [-6, 0, 12, -6], [20, 6, 20, 0], [0, 0, -32, 0], [-22, 0, 44, -6], [14, -15, -14, 30], [0, 12, 0, -12], [0, 0, 0, -9], [18, 42, 0, -21], [-5, 18, 0, -9], [13, 0, -26, 27], [12, 33, -6, -33], [12, 15, -12, -30], [4, 24, 0, -12], [-48, 0, 48, 0], [-10, -18, 10, 36], [6, 36, 0, -18], [0, -6, -22, -6], [12, -45, -6, 45], [-5, 12, 0, -6], [-12, 0, 24, -18], [-4, -36, -4, 0], [0, 0, -24, 0], [-7, 0, 14, -27], [0, 18, -18, 18], [8, 3, 8, 0], [-12, 0, 24, 0], [7, -21, -7, 42], [0, -3, -8, -3]], 'char_orbit_index': 9, 'field_poly': [1, 0, -1, 0, 1], 'hecke_orbit_code': 4504149416738894, 'hecke_ring_character_values': [[53, [1, 0, 0, 0]], [67, [0, 0, 1, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 4, 'label': '78.2.i.b', 'level': 78, 'maxp': 997, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 312, 'analytic_conductor': 0.622833135765987, 'char_conductor': 13, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 9, 'char_orbit_label': 'i', 'char_order': 6, 'char_parity': 1, 'char_values': [78, 6, [53, 67], [6, 1]], 'conrey_index': 43, 'cusp_dim': 20, 'dim': 8, 'eis_dim': 16, 'eis_new_dim': 0, 'hecke_cutter_primes': [5], 'hecke_orbit_code': 549789368398, 'hecke_orbit_dims': [4, 4], 'label': '78.2.i', 'level': 78, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [2, 3, 13], 'level_radical': 78, 'mf_dim': 36, 'mf_new_dim': 8, 'num_forms': 2, 'prim_orbit_index': 5, 'relative_dim': 4, 'sturm_bound': 28, 'trace_bound': 3, 'trace_display': [0, 0, 0, 0], 'traces': [8, 0, 0, 4, 0, 0, 0, 0, -4, 4, 0, 0, -4, -16, -12, -4, -8, 0, 0, 0, 0, 0, -8, 0, 0, 8, 0, 0, 8, 4, 0, 0, 12, 0, 16, 4, -12, 0, 4, 8, 48, -4, 0, 0, 0, 0, 0, 0, 4, 24, 16, -8, 0, 0, 0, -8, 0, -12, -48, 0, -12, -16, 0, -8, -8, 24, -48, 8, 4, 0, 24, 0, 0, -8, 8, 0, -48, -16, -32, 0, -4, -4, 0, -12, 36, 0, -4, 0, -24, -8, 32, -16, -24, 0, 24, 0, 0, 24, 0, 0, 8, -24, 64, 16, -8, 12, -16, 0, 0, 24, 12, 0, 8, 12, 48, 16, 8, 32, 24, -4, 4, 0, -24, 0, 0, 8, 0, 0, 8, -12, 64, 12, 0, -16, 0, 12, -24, 0, 0, -16, 12, 0, -72, 8, 12, 16, -16, 0, -24, -24, 0, 0, -8, -48, -32, -4, -24, -48, 12, 4, 0, 0, 0, 0, -12, 16, 0, -8, 12, -80, 0, 0, 0, 0, -48, 0, 0, 24, 0, 0, -72, 48, -56, 0, -16, 8, 0, 24, 12, 0, 0, 0, 12, 48, 40, 8, 24, 0, -32, 0, 36, -60, 0, 8, -20, 24, 16, -4, 48, 36, 16, 0, 0, 0, 72, 0, -16, -16, 48, 0, 24, 40, 48, 8, 0, 0, 0, -12, 0, -32, -24, -12, 48, -16, 0, -48, 8, 32, 0, 12, -36, 0, 0, 12, -24, -16, -48, -32, -12, -12, 32, 0, 96, 48, 0, -4, 72, -12, -32, 8, -16, 48, -24, 12, 0, -24, 0, 0, 32, 4, -48, 16, -4, 56, -48, -4, 12, 0, 0, 0, 0, 12, -16, 24, -24, -48, 80, 0, -24, -16, 0, -36, -48, 0, 16, 8, -12, -56, -48, 16, -96, 8, -28, 0, -120, -12, 0, -24, -36, 48, -16, -20, -16, -72, 16, -16, 0, -12, 48, 0, -4, -16, -96, -8, 64, -64, 24, 4, -24, 0, 0, 48, 0, 0, 40, -12, 152, 48, -64, 36, 0, 0, 0, -48, -12, 0, -48, 4, 48, 32, 4, 0, 0, -16, 0, 0, 84, 48, 0, -4, -28, 72, 0, 16, 32, 36, 64, -8, 0, 36, -48, 0, 28, 0, -12, 0, 24, 8, 96, -24, 16, 0, 48, 0, 0, -16, 0, 0, 48, -24, -128, 24, -8, -8, 0, 0, 0, 0, 24, 0, -24, -40, 80, 16, 0, -32, 72, 0, 36, 48, 0, 32, 32, 0, -64, 8, 32, 0, 16, -4, 0, 0, -24, 0, 40, 12, 48, -32, -24, -32, -24, 0, -28, 0, -48, -48, 0, 16, -16, 24, -8, -4, 128, 12, 24, -16, 0, 0, -72, 0, -48, -8, 12, -32, -96, 24, -60, 8, -8, 0, -96, -24, 0, 8, -8, -48, -96, 4, 32, 0, 20, 16, 0, -24, -96, 0, 0, 16, -48, -8, -116, -32, 48, -4, -24, 0, 0, 0, 0, -36, -16, -24, -40, 24, 0, 0, -24, 4, 0, 72, 24, 0, -24, -8, -36, 48, 64, 0, 24, 4, -32, 0, 12, 12, 0, 4, -48, -48, 48, -36, -48, 12, -48, 32, 0, -48, 144, 0, -36, -24, 48, 0, 8, 0, -48, 16, 12, 0, 192, -12, 0, 16, 20, 12, 64, 12, 0, -24, -12, 0, 0, 36, 96, 0, -16, 0, 120, 32, 112, -32, -60, 52, 32, 0, -36, -48, 0, 0, -32, 12, 96, -24, 0, -48, -80, 4, 0, 48, 24, 0, 40, 0, 0, 32, -8, 56, 0, 16, 48, 0, -72, 12, 0, -12, 112, -24, 8, 32, 0, -24, -4, 8, 0, 0, 72, 0, 96, 0, 36, 104, 0, -16, 84, 32, -44, 0, -120, 12, 0, -16, 4, -48, -96, -8, 24, -24, 0, -12, 0, 0, 48, 0, -40, 36, -48, 24, -76, 48, -24, -4, -72, 0, -144, -24, 0, 48, -32, 0, -192, -40, -64, 0, 64, 8, 0, -48, 36, 0, -16, 12, 36, -32, 36, 32, 120, -8, -16, 0, 0, -144, 0, -4, 44, -48, -16, 36, -192, -48, -48, -40, 0, 48, -144, 0, -44, -16, -96, 0, 24, -8, 48, 0, 24, 0, 144, 12, 0, 16, 48, -48, -32, 20, 96, 0, -12, 28, 0, -48, -36, 0, 16, -24, 96, 8, -48, 0, -84, -16, 32, 0, 48, -72, 0, -36, -40, 0, 96, 48, 8, 36, 16, -28, 0, 24, -36, 0, -24, -4, 0, -32, -60, 0, 0, -8, 92, 0, -48, 48, 0, -12, -32, 24, -16, -32, 64, 12, -24, -16, 0, 48, -24, 0, -64, 0, -36, -32, 32, 0, -48, -24, 0, 0, -96, 48, 0, 24, -20, 108, 0, 32, 96, 120, -4, 4, 0, 24, 48, 0, -12, -48, 120, 0, 8, 64, 24, 32, -56, 0, 0, -24, 0, 12, -96, 36, 160, -48, 80, -60, 160, 4, 0, 0, 48, 0, 64, -8, -48, -112, -16, -40, 144, 8, -64, 0, 72, 192, 0, 8, 28, -24, 56, 4, -192, -48, 48, 24, 0, -48, -48, 0, 72, 16, 48, 32, 120, 0, -144, 0, 84, 0, 192, 12, 0, 16, 24, 0, 32, -12, -160, 72, -28, -64, 0, 0, 0, 0, 16, 16, -48, 32, 80, -32, 0, -48, 0, 0, 60, 24, 0, 0, 48, -24, -128, -48, 160, 0, -144, 20, 0, -24, 0, 0, 24, 4, -96, 16, -96, -144, -48, 0, 36, 0, -24, -12, 0, -28, 32, 0, -16, 32, 0, -12, 0, 32, 0, 0, -96, 0, -32, 32, -60, -72, -48, -48, -144, -24, -32, 0, -48, 24, 0, 24, 20, 0, -48, -8, 56, 120, -48, 0, 0, 36, -144, 0, 4, 0, -48, 16, -164, 96, 12, -32, -48, 0, -48, 24, 0, -96, -88, 12, -8, -72, 32, -36, 64, -16, 0, -72, -12, 0, -48, 0, -96, -48, 32, 24, 24, 8, 0, 0, 48, 48, 0, -8, -88, 0, 0, -48, -80, -24, 0, -16, 0, -96, 48, 0, -76, 64, -12, -24], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 67888
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '78.2.i.b', 'source_level': 78, 'target_char_orbit': 9, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '78.2.i.b', 'target_level': 78, 'twist_class_label': '78.2.i.b', 'twist_class_level': 78, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 67889
{'conductor': 13, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '78.2.i.b', 'source_level': 78, 'target_char_orbit': 9, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '78.2.i.b', 'target_level': 78, 'twist_class_label': '78.2.i.b', 'twist_class_level': 78, 'twisting_char_label': '13.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 67890
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '78.2.i.b', 'source_level': 78, 'target_char_orbit': 12, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '234.2.l.a', 'target_level': 234, 'twist_class_label': '78.2.i.b', 'twist_class_level': 78, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 67891
{'conductor': 39, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '78.2.i.b', 'source_level': 78, 'target_char_orbit': 12, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '234.2.l.a', 'target_level': 234, 'twist_class_label': '78.2.i.b', 'twist_class_level': 78, 'twisting_char_label': '39.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 67892
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '78.2.i.b', 'source_level': 78, 'target_char_orbit': 48, 'target_dim': 4, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '624.2.bv.d', 'target_level': 624, 'twist_class_label': '78.2.i.b', 'twist_class_level': 78, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 67893
{'conductor': 52, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '78.2.i.b', 'source_level': 78, 'target_char_orbit': 48, 'target_dim': 4, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '624.2.bv.d', 'target_level': 624, 'twist_class_label': '78.2.i.b', 'twist_class_level': 78, 'twisting_char_label': '52.i', 'twisting_char_orbit': 9, 'weight': 2}
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id: 67894
{'conductor': 13, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '78.2.i.b', 'source_level': 78, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '1014.2.a.h', 'target_level': 1014, 'twist_class_label': '78.2.i.b', 'twist_class_level': 78, 'twisting_char_label': '13.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 67895
{'conductor': 13, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '78.2.i.b', 'source_level': 78, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '1014.2.a.j', 'target_level': 1014, 'twist_class_label': '78.2.i.b', 'twist_class_level': 78, 'twisting_char_label': '13.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 67896
{'conductor': 13, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '78.2.i.b', 'source_level': 78, 'target_char_orbit': 2, 'target_dim': 4, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '1014.2.b.d', 'target_level': 1014, 'twist_class_label': '78.2.i.b', 'twist_class_level': 78, 'twisting_char_label': '13.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 67897
{'conductor': 13, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '78.2.i.b', 'source_level': 78, 'target_char_orbit': 2, 'target_dim': 4, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '1014.2.b.d', 'target_level': 1014, 'twist_class_label': '78.2.i.b', 'twist_class_level': 78, 'twisting_char_label': '13.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 67898
{'conductor': 13, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '78.2.i.b', 'source_level': 78, 'target_char_orbit': 5, 'target_dim': 4, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '1014.2.e.h', 'target_level': 1014, 'twist_class_label': '78.2.i.b', 'twist_class_level': 78, 'twisting_char_label': '13.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 67899
{'conductor': 13, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '78.2.i.b', 'source_level': 78, 'target_char_orbit': 5, 'target_dim': 4, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '1014.2.e.h', 'target_level': 1014, 'twist_class_label': '78.2.i.b', 'twist_class_level': 78, 'twisting_char_label': '13.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 67900
{'conductor': 13, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '78.2.i.b', 'source_level': 78, 'target_char_orbit': 5, 'target_dim': 4, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '1014.2.e.j', 'target_level': 1014, 'twist_class_label': '78.2.i.b', 'twist_class_level': 78, 'twisting_char_label': '13.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 67901
{'conductor': 13, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '78.2.i.b', 'source_level': 78, 'target_char_orbit': 5, 'target_dim': 4, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '1014.2.e.j', 'target_level': 1014, 'twist_class_label': '78.2.i.b', 'twist_class_level': 78, 'twisting_char_label': '13.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 67902
{'conductor': 13, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '78.2.i.b', 'source_level': 78, 'target_char_orbit': 9, 'target_dim': 4, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '1014.2.i.f', 'target_level': 1014, 'twist_class_label': '78.2.i.b', 'twist_class_level': 78, 'twisting_char_label': '13.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 67903
{'conductor': 13, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '78.2.i.b', 'source_level': 78, 'target_char_orbit': 9, 'target_dim': 4, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '1014.2.i.f', 'target_level': 1014, 'twist_class_label': '78.2.i.b', 'twist_class_level': 78, 'twisting_char_label': '13.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 67904
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '78.2.i.b', 'source_level': 78, 'target_char_orbit': 51, 'target_dim': 4, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '1872.2.by.k', 'target_level': 1872, 'twist_class_label': '78.2.i.b', 'twist_class_level': 78, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 67905
{'conductor': 156, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '78.2.i.b', 'source_level': 78, 'target_char_orbit': 51, 'target_dim': 4, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '1872.2.by.k', 'target_level': 1872, 'twist_class_label': '78.2.i.b', 'twist_class_level': 78, 'twisting_char_label': '156.r', 'twisting_char_orbit': 18, 'weight': 2}
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id: 67906
{'conductor': 5, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '78.2.i.b', 'source_level': 78, 'target_char_orbit': 25, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '1950.2.y.a', 'target_level': 1950, 'twist_class_label': '78.2.i.b', 'twist_class_level': 78, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 67907
{'conductor': 65, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '78.2.i.b', 'source_level': 78, 'target_char_orbit': 25, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '1950.2.y.a', 'target_level': 1950, 'twist_class_label': '78.2.i.b', 'twist_class_level': 78, 'twisting_char_label': '65.r', 'twisting_char_orbit': 18, 'weight': 2}
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id: 67908
{'conductor': 5, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '78.2.i.b', 'source_level': 78, 'target_char_orbit': 25, 'target_dim': 4, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '1950.2.y.h', 'target_level': 1950, 'twist_class_label': '78.2.i.b', 'twist_class_level': 78, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 67909
{'conductor': 65, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '78.2.i.b', 'source_level': 78, 'target_char_orbit': 25, 'target_dim': 4, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '1950.2.y.h', 'target_level': 1950, 'twist_class_label': '78.2.i.b', 'twist_class_level': 78, 'twisting_char_label': '65.r', 'twisting_char_orbit': 18, 'weight': 2}
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id: 67910
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '78.2.i.b', 'source_level': 78, 'target_char_orbit': 29, 'target_dim': 4, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '1950.2.bc.c', 'target_level': 1950, 'twist_class_label': '78.2.i.b', 'twist_class_level': 78, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 67911
{'conductor': 65, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '78.2.i.b', 'source_level': 78, 'target_char_orbit': 29, 'target_dim': 4, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '1950.2.bc.c', 'target_level': 1950, 'twist_class_label': '78.2.i.b', 'twist_class_level': 78, 'twisting_char_label': '65.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 67912
{'conductor': 39, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '78.2.i.b', 'source_level': 78, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 19, 'target_is_minimal': False, 'target_label': '3042.2.a.s', 'target_level': 3042, 'twist_class_label': '78.2.i.b', 'twist_class_level': 78, 'twisting_char_label': '39.k', 'twisting_char_orbit': 11, 'weight': 2}
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id: 67913
{'conductor': 39, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '78.2.i.b', 'source_level': 78, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 22, 'target_is_minimal': False, 'target_label': '3042.2.a.v', 'target_level': 3042, 'twist_class_label': '78.2.i.b', 'twist_class_level': 78, 'twisting_char_label': '39.k', 'twisting_char_orbit': 11, 'weight': 2}
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id: 67914
{'conductor': 39, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '78.2.i.b', 'source_level': 78, 'target_char_orbit': 2, 'target_dim': 4, 'target_hecke_orbit': 12, 'target_is_minimal': False, 'target_label': '3042.2.b.l', 'target_level': 3042, 'twist_class_label': '78.2.i.b', 'twist_class_level': 78, 'twisting_char_label': '39.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 67915
{'conductor': 39, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '78.2.i.b', 'source_level': 78, 'target_char_orbit': 2, 'target_dim': 4, 'target_hecke_orbit': 12, 'target_is_minimal': False, 'target_label': '3042.2.b.l', 'target_level': 3042, 'twist_class_label': '78.2.i.b', 'twist_class_level': 78, 'twisting_char_label': '39.i', 'twisting_char_orbit': 9, 'weight': 2}
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id: 67916
{'conductor': 52, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '78.2.i.b', 'source_level': 78, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 43, 'target_is_minimal': False, 'target_label': '8112.2.a.bq', 'target_level': 8112, 'twist_class_label': '78.2.i.b', 'twist_class_level': 78, 'twisting_char_label': '52.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 67917
{'conductor': 52, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '78.2.i.b', 'source_level': 78, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 50, 'target_is_minimal': False, 'target_label': '8112.2.a.bx', 'target_level': 8112, 'twist_class_label': '78.2.i.b', 'twist_class_level': 78, 'twisting_char_label': '52.l', 'twisting_char_orbit': 12, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
-
id: 242600
{'charpoly_factorization': [[[1, 0, -1, 0, 1], 1]], 'hecke_orbit_code': 4504149416738894, 'p': 2}
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id: 242601
{'charpoly_factorization': [[[1, -1, 1], 2]], 'hecke_orbit_code': 4504149416738894, 'p': 3}
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id: 242602
{'charpoly_factorization': [[[3, 0, 1], 2]], 'hecke_orbit_code': 4504149416738894, 'p': 5}
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id: 242603
{'charpoly_factorization': [[[36, -36, 6, 6, 1], 1]], 'hecke_orbit_code': 4504149416738894, 'p': 7}
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id: 242604
{'charpoly_factorization': [[[36, 36, 6, -6, 1], 1]], 'hecke_orbit_code': 4504149416738894, 'p': 11}
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id: 242605
{'charpoly_factorization': [[[169, 52, 3, 4, 1], 1]], 'hecke_orbit_code': 4504149416738894, 'p': 13}
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id: 242606
{'charpoly_factorization': [[[729, 0, 27, 0, 1], 1]], 'hecke_orbit_code': 4504149416738894, 'p': 17}
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id: 242607
{'charpoly_factorization': [[[36, -36, 6, 6, 1], 1]], 'hecke_orbit_code': 4504149416738894, 'p': 19}
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id: 242608
{'charpoly_factorization': [[[324, -108, 54, 6, 1], 1]], 'hecke_orbit_code': 4504149416738894, 'p': 23}
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id: 242609
{'charpoly_factorization': [[[9, -3, 1], 2]], 'hecke_orbit_code': 4504149416738894, 'p': 29}
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id: 242610
{'charpoly_factorization': [[[576, 0, 96, 0, 1], 1]], 'hecke_orbit_code': 4504149416738894, 'p': 31}
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id: 242611
{'charpoly_factorization': [[[81, 0, -9, 0, 1], 1]], 'hecke_orbit_code': 4504149416738894, 'p': 37}
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id: 242612
{'charpoly_factorization': [[[9, -36, 51, -12, 1], 1]], 'hecke_orbit_code': 4504149416738894, 'p': 41}
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id: 242613
{'charpoly_factorization': [[[676, 52, 30, -2, 1], 1]], 'hecke_orbit_code': 4504149416738894, 'p': 43}
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id: 242614
{'charpoly_factorization': [[[36, 0, 24, 0, 1], 1]], 'hecke_orbit_code': 4504149416738894, 'p': 47}
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id: 242615
{'charpoly_factorization': [[[-3, 1], 4]], 'hecke_orbit_code': 4504149416738894, 'p': 53}
-
id: 242616
{'charpoly_factorization': [[[192, 24, 1], 2]], 'hecke_orbit_code': 4504149416738894, 'p': 59}
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id: 242617
{'charpoly_factorization': [[[5329, 1460, 327, 20, 1], 1]], 'hecke_orbit_code': 4504149416738894, 'p': 61}
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id: 242618
{'charpoly_factorization': [[[6084, -468, -66, 6, 1], 1]], 'hecke_orbit_code': 4504149416738894, 'p': 67}
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id: 242619
{'charpoly_factorization': [[[324, -324, 126, -18, 1], 1]], 'hecke_orbit_code': 4504149416738894, 'p': 71}
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id: 242620
{'charpoly_factorization': [[[147, 0, 1], 2]], 'hecke_orbit_code': 4504149416738894, 'p': 73}
-
id: 242621
{'charpoly_factorization': [[[-104, 4, 1], 2]], 'hecke_orbit_code': 4504149416738894, 'p': 79}
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id: 242622
{'charpoly_factorization': [[[4356, 0, 168, 0, 1], 1]], 'hecke_orbit_code': 4504149416738894, 'p': 83}
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id: 242623
{'charpoly_factorization': [[[576, -288, 24, 12, 1], 1]], 'hecke_orbit_code': 4504149416738894, 'p': 89}
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id: 242624
{'charpoly_factorization': [[[1296, 0, -36, 0, 1], 1]], 'hecke_orbit_code': 4504149416738894, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 9, 'hecke_orbit': 2, 'label': '78.2.i.b', 'level': 78, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 90041000
{'hecke_orbit_code': 4504149416738894, 'n': 1, 'trace_an': 4}
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id: 90041001
{'hecke_orbit_code': 4504149416738894, 'n': 2, 'trace_an': 0}
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id: 90041002
{'hecke_orbit_code': 4504149416738894, 'n': 3, 'trace_an': 2}
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id: 90041003
{'hecke_orbit_code': 4504149416738894, 'n': 4, 'trace_an': 2}
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id: 90041004
{'hecke_orbit_code': 4504149416738894, 'n': 5, 'trace_an': 0}
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id: 90041005
{'hecke_orbit_code': 4504149416738894, 'n': 6, 'trace_an': 0}
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id: 90041006
{'hecke_orbit_code': 4504149416738894, 'n': 7, 'trace_an': -6}
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id: 90041007
{'hecke_orbit_code': 4504149416738894, 'n': 8, 'trace_an': 0}
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id: 90041008
{'hecke_orbit_code': 4504149416738894, 'n': 9, 'trace_an': -2}
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id: 90041009
{'hecke_orbit_code': 4504149416738894, 'n': 10, 'trace_an': 0}
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id: 90041010
{'hecke_orbit_code': 4504149416738894, 'n': 11, 'trace_an': 6}
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id: 90041011
{'hecke_orbit_code': 4504149416738894, 'n': 12, 'trace_an': 4}
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id: 90041012
{'hecke_orbit_code': 4504149416738894, 'n': 13, 'trace_an': -4}
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id: 90041013
{'hecke_orbit_code': 4504149416738894, 'n': 14, 'trace_an': -12}
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id: 90041014
{'hecke_orbit_code': 4504149416738894, 'n': 15, 'trace_an': -6}
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id: 90041015
{'hecke_orbit_code': 4504149416738894, 'n': 16, 'trace_an': -2}
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id: 90041016
{'hecke_orbit_code': 4504149416738894, 'n': 17, 'trace_an': 0}
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id: 90041017
{'hecke_orbit_code': 4504149416738894, 'n': 18, 'trace_an': 0}
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id: 90041018
{'hecke_orbit_code': 4504149416738894, 'n': 19, 'trace_an': -6}
-
id: 90041019
{'hecke_orbit_code': 4504149416738894, 'n': 20, 'trace_an': 6}
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id: 90041020
{'hecke_orbit_code': 4504149416738894, 'n': 21, 'trace_an': 0}
-
id: 90041021
{'hecke_orbit_code': 4504149416738894, 'n': 22, 'trace_an': 6}
-
id: 90041022
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