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mf_newforms • Show schema
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{'Nk2': 520, 'analytic_conductor': 1.038055226276645, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 13, 'char_degree': 2, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 12, 'char_orbit_label': 'l', 'char_order': 6, 'char_parity': 1, 'char_values': [130, 6, [27, 41], [6, 5]], 'cm_discs': [], 'conrey_index': 101, 'conrey_indexes': [101, 121], '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': [[3, [4, 4, 6, -2, 1]]], 'hecke_orbit': 1, 'hecke_orbit_code': 755947798658, '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': '130.2.l.a', 'level': 130, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [2, 5, 13], 'level_radical': 130, 'minimal_twist': '130.2.l.a', 'nf_label': '4.0.144.1', 'prim_orbit_index': 5, 'qexp_display': 'q+\\zeta_{12}q^{2}+(1+\\zeta_{12}-\\zeta_{12}^{2}-2\\zeta_{12}^{3})q^{3}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c6', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '130.2.l', 'trace_display': [0, 2, 0, 0], 'trace_hash': 772693786436625663, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.744', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '53.099', 'prec': 20}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1151.445', 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-40, 6, 0, 0, 36, 0, 2, 24, -72, 4], '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, 1, -1, -2], [0, 0, 1, 0], [0, 0, 0, 1], [2, 1, -1, -1], [0, -3, 0, 3], [0, 0, 0, 1], [0, -2, -1, -2], [-1, 0, 1, 0], [0, -3, 0, 0], [1, 2, 0, -1], [4, 0, -1, 0], [-3, 0, 0, 0], [1, 1, 1, 0], [-1, 0, 1, 0], [0, 3, -3, 3], [2, 0, -4, -1], [-4, -3, 2, 3], [0, -1, 0, 1], [-3, 0, 6, 3], [0, 0, -3, 0], [-6, 2, 6, -4], [1, 1, 1, 0], [-1, 0, 0, 0], [0, 4, 0, -1], [-4, 0, 0, 0], [0, -3, 0, 0], [6, 2, -6, -4], [0, 1, 1, 1], [-1, 0, 2, -3], [0, -1, 0, 1], [-6, -3, 3, 3], [-3, 0, 6, -3], [0, 0, -3, 0], [1, 2, -1, -4], [3, 6, 3, 0], [-3, -4, 0, 2], [3, 2, -4, -7], [-1, 0, 0, 0], [-6, 0, -6, 0], [-3, -3, 3, 6], [0, 0, -2, 0], [0, 0, 0, -3], [4, 1, -2, -1], [4, -6, -2, 6], [0, 0, 0, -3], [0, 1, 1, 1], [2, 0, -2, 0], [0, -1, 0, 0], [6, 0, 0, 0], [1, 0, 3, 0], [-3, -4, 0, 2], [0, -4, 0, 0], [3, 0, -3, 0], [0, 0, -3, 0], [-5, 0, 10, 9], [4, 6, -2, -6], [12, 0, -6, 0], [-1, 0, 2, 1], [0, 3, -1, 3], [3, -1, -3, 2], [6, 3, 6, 0], [-1, 0, 0, 0], [0, 1, 0, 3], [-3, -6, 0, 3], [0, 0, 0, 0], [3, -3, -3, 6], [0, 4, 0, 4], [0, 0, 0, -3], [0, 6, 0, -6], [4, 1, -2, -1], [-5, 0, 10, -3], [0, 3, 6, 3], [-1, -1, 1, 2], [-2, -3, -2, 0], [9, 0, 0, 0], [7, 3, -5, -4], [1, 6, 0, -3], [0, -1, 0, 0], [-1, 2, 1, -4], [0, -6, 0, -6], [3, 0, -6, 3], [-6, -3, 3, 3], [-6, 3, 3, -3], [0, 0, 0, -2], [0, -8, -12, -8], [3, 0, -3, 0], [-3, -12, -3, 0], [1, 4, 0, -2], [0, -9, 0, 12], [-6, 4, 0, -2], [-2, 0, -2, 0], [3, 0, -3, 0], [0, -2, -3, -2], [-1, 0, 2, 1], [14, 3, -7, -3], [0, 2, 0, -2], [-6, 0, 12, 3], [0, 0, -1, 0]], 'ap': [[0, 1, 0, 0], [1, 1, -1, -2], [0, 0, 0, 1], [0, -3, 0, 3], [0, -3, 0, 0], [4, 0, -1, 0], [0, 3, -3, 3], [-4, -3, 2, 3], [-6, 2, 6, -4], [6, 2, -6, -4], [-1, 0, 2, -3], [3, 6, 3, 0], [-6, 0, -6, 0], [0, 0, -2, 0], [0, 0, 0, -3], [-3, -4, 0, 2], [12, 0, -6, 0], [0, 3, -1, 3], [0, 0, 0, 0], [0, 6, 0, -6], [-5, 0, 10, -3], [1, 6, 0, -3], [3, 0, -6, 3], [-3, -12, -3, 0], [14, 3, -7, -3], [-9, 1, 9, -2], [-4, 6, 0, -3], [-9, 5, 9, -10], [-2, 0, 4, 12], [0, 4, 0, 4], [-16, -3, 16, 6], [-6, -14, 0, 7], [6, 3, -3, -3], [0, 3, 4, 3], [0, -6, 0, 6], [5, 0, -10, 15], [-13, 0, 0, 0], [-2, 9, 1, -9], [0, -3, 0, 0], [0, 0, 15, 0], [6, -2, -6, 4], [-1, -18, 0, 9], [0, -1, 21, -1], [-6, 6, -6, 0], [9, -6, 9, 0], [0, -6, -4, -6], [2, -9, -2, 18], [-2, 3, -2, 0], [12, -6, -6, 6], [-1, 0, 2, 3], [3, -2, 0, 1], [-3, 0, 6, 3], [-10, 0, 5, 0], [0, 3, -12, 3], [0, -8, 0, 16], [12, 9, -12, -18], [0, -7, 15, -7], [2, -6, 2, 0], [0, 0, 1, 0], [6, 0, -12, 0], [20, 6, -20, -12], [6, -6, -3, 6], [2, 0, -4, 24], [3, 14, 0, -7], [16, -12, 0, 6], [3, 0, -6, 18], [8, -6, -4, 6], [1, -6, 0, 3], [0, -1, 27, -1], [-11, -15, -11, 0], [-3, -15, -3, 0], [6, 0, -12, -12], [16, 6, -16, -12], [0, -6, -10, -6], [12, -9, 12, 0], [12, -12, -6, 12], [21, -2, 0, 1], [-6, 6, 3, -6], [-3, 0, -3, 0], [2, 18, -1, -18], [0, -10, 0, 20], [7, 0, -14, -15], [-3, 3, -3, 0], [0, 6, 2, 6], [19, 9, -19, -18], [-12, 12, 0, -6], [18, 0, -9, 0], [-5, -27, -5, 0], [-18, 15, 9, -15], [-4, 0, 8, -6], [-24, 16, 0, -8], [-15, 15, -15, 0], [-28, -9, 14, 9], [-12, 5, 12, -10], [-8, 0, 16, -12], [0, -5, 18, -5], [-6, 12, -6, 0], [3, -4, 0, 2], [-8, -6, 8, 12], [-11, 0, 22, -3], [14, 24, 0, -12], [3, 12, 3, 0], [0, -2, -18, -2], [3, -14, -3, 28], [-2, 42, 0, -21], [17, 0, -34, -3], [0, -30, 0, 0], [12, 0, -24, 0], [-6, 16, 0, -8], [17, -12, -17, 24], [0, -9, 22, -9], [19, -6, 19, 0], [0, -18, 0, 18], [6, 0, -12, 21], [-24, 0, 12, 0], [0, -4, -39, -4], [-2, 9, 1, -9], [6, 3, -6, -6], [9, 6, -9, -12], [0, -10, -12, -10], [19, -3, 19, 0], [-14, 6, 14, -12], [-12, 16, 0, -8], [36, 0, -18, 0], [-16, 9, -16, 0], [3, -38, 0, 19], [30, 15, -15, -15], [0, 8, -12, 8], [-2, -42, 0, 21], [-19, 0, 38, 18], [24, 9, 24, 0], [6, 24, 6, 0], [10, -6, -10, 12], [17, -12, -17, 24], [-6, -24, 3, 24], [-22, 0, -22, 0], [-18, -18, 9, 18], [-46, 3, 23, -3], [0, -4, 6, -4], [-24, 0, 24, 0], [-6, 0, 12, -33], [3, -15, 3, 0], [0, -3, 22, -3], [9, 0, -18, 27], [20, 0, -20, 0], [-6, -27, 3, 27], [-8, 0, 16, 0], [-15, 2, 0, -1], [16, 42, 0, -21], [-18, 0, 36, -12], [-4, 24, 2, -24], [-9, 10, 9, -20], [-11, -18, 0, 9], [-6, -27, 6, 54], [11, 9, -11, -18], [-18, 4, 0, -2], [0, 12, -10, 12], [24, 24, -12, -24], [-20, -12, 0, 6], [12, 0, -24, -24], [21, 21, 21, 0], [0, -9, -9, -9], [24, 0, -48, 3], [0, 27, 0, 27], [6, -6, 6, 0], [-24, 0, 48, -3], [-20, -18, 20, 36], [0, 24, 1, 24]], 'char_orbit_index': 12, 'field_poly': [1, 0, -1, 0, 1], 'hecke_orbit_code': 755947798658, 'hecke_ring_character_values': [[27, [1, 0, 0, 0]], [41, [0, 0, 1, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 4, 'label': '130.2.l.a', 'level': 130, 'maxp': 997, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 520, 'analytic_conductor': 1.038055226276645, 'char_conductor': 13, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 12, 'char_orbit_label': 'l', 'char_order': 6, 'char_parity': 1, 'char_values': [130, 6, [27, 41], [6, 5]], 'conrey_index': 101, 'cusp_dim': 36, 'dim': 12, 'eis_dim': 16, 'eis_new_dim': 0, 'hecke_cutter_primes': [3], 'hecke_orbit_code': 755947798658, 'hecke_orbit_dims': [4, 8], 'label': '130.2.l', 'level': 130, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [2, 5, 13], 'level_radical': 130, 'mf_dim': 52, 'mf_new_dim': 12, 'num_forms': 2, 'prim_orbit_index': 5, 'relative_dim': 6, 'sturm_bound': 42, 'trace_bound': 1, 'trace_display': [0, 0, 0, 0], 'traces': [12, 0, 0, 6, 0, 0, 0, 0, -6, 2, -6, 0, 12, -12, 12, -6, 0, 0, -18, 0, 0, 0, 0, 0, -12, 0, 24, 0, 12, 4, 0, 0, -60, 0, -6, 6, -12, -24, -36, 4, -24, -12, 0, 0, 0, 12, 0, 0, 12, 0, 24, 0, 48, 36, 12, -6, 0, 12, 12, 0, 24, 24, 48, -12, 6, -24, 24, 0, 12, 0, 0, 24, 0, 18, 0, -18, -24, 12, 24, 0, -30, 0, 0, 12, -36, 0, 24, 0, -42, -4, -66, 0, 36, 6, 0, 0, 36, -48, 0, -6, -12, -36, -48, -6, 0, 6, -12, 12, 0, -6, 96, 0, -36, -24, 12, 24, -36, 0, -36, -4, 0, 0, -60, -12, 0, 30, -48, 0, 48, 4, 12, -60, 24, -24, 0, 0, 12, 0, 6, 6, -60, 72, 48, 12, 12, 12, -24, 0, 12, 0, 0, -12, 60, 18, -24, -24, -96, 48, -60, 2, 0, -72, -24, 0, 0, -24, 0, -24, 54, 24, 30, 0, 60, 0, 0, 6, 0, -24, 24, 0, 48, -24, 0, 12, -6, -12, 0, 24, 36, 0, 24, 0, -36, -24, 36, 24, 72, 36, -12, 0, 48, 60, 0, 12, 0, 6, 0, -12, 36, -48, -6, 24, 0, 48, -36, 0, 60, -12, 60, 24, 0, 96, -48, 6, 6, 0, 24, -24, 0, -24, 0, 12, -48, 18, 12, 12, 36, -12, 0, -12, 66, 0, -96, -24, 48, -24, -48, 48, -120, -2, -42, 0, -36, -102, 0, -6, -12, 72, -12, 6, -216, -132, 48, -12, 0, 6, -60, 0, -12, 28, -24, 0, 36, -72, 6, -12, -12, 0, -48, 0, 0, -36, 48, 0, -24, -6, -96, 24, -42, 12, 0, 12, -72, 0, 0, -18, 60, 0, 48, 0, -36, -36, 0, 0, 0, 36, 0, -12, 24, 0, 0, 12, 48, 102, 18, 12, 0, -60, 108, 0, 24, 72, 36, -60, -12, 0, 144, 0, 6, 0, 12, 48, 0, 6, -24, 12, 48, 48, 0, -36, 36, 24, 0, 36, -36, 0, 24, -24, -60, 12, -12, 0, -108, 48, -12, 0, 108, -48, 0, -2, -48, 12, 24, -24, 0, 0, 48, 0, 0, -48, -42, 0, -24, -72, -12, 12, 144, -72, -42, 0, 0, 0, 48, 0, 0, -12, -120, 36, 96, 8, 120, -48, -72, -42, 0, 30, -24, 0, -60, 6, 54, 96, 84, -24, 96, -12, -48, 0, -30, 48, 0, -24, 0, 36, 24, -6, -48, 72, 84, 0, 0, -96, 120, 0, 0, 0, -72, -24, -84, 16, -12, -12, -12, 0, 72, -24, 0, 84, 48, -6, 72, 12, -24, 96, 24, -6, 0, 0, 6, 0, 12, 36, 12, -48, 0, -48, 36, -12, 72, 0, -120, 144, 0, 12, -12, 12, -192, 36, -48, -24, -60, 0, 0, 12, 18, 0, -12, -24, -96, -8, 60, 0, -132, 0, 24, 0, 48, -36, 0, -4, 42, -60, 48, -6, -96, -12, -36, -24, 0, 0, 72, 0, 24, -30, -48, 48, -60, -96, -108, -12, 0, 0, 36, -12, 0, 24, -84, -72, 96, -16, 60, -252, -60, 6, 0, 54, -72, 0, -30, 36, -12, 48, -168, -120, 12, 24, -72, 0, -84, 36, 0, -72, -96, 0, -72, 36, 48, 12, 36, 0, 0, -12, 36, 0, 12, -6, 192, -24, -84, 12, -144, -48, -36, 0, 12, -60, 0, 36, 54, -36, -36, -24, 120, 216, 0, 6, 0, 144, 120, 0, -108, 132, 72, 24, -42, -60, 180, 24, 48, 0, 36, 12, 0, 108, -48, 12, -96, -12, 96, 0, 30, 72, 0, 72, 0, 0, 96, 12, 120, 56, 66, 120, 84, 36, -60, 0, -60, 24, 0, -12, 48, -120, 240, 12, 12, 36, 48, -48, 0, -24, -84, 0, 132, -54, 66, -120, -24, -24, -144, -2, -6, 0, -36, -84, 0, -12, 96, -72, 24, 0, 120, -24, 24, 0, 0, 24, -192, 0, -60, 0, 132, 48, -24, -48, 66, -18, 24, 0, -180, 24, 0, -12, 24, 36, -24, 12, -96, 48, -120, 12, 0, -72, 60, 0, 48, 30, -72, 0, 6, 24, 18, -60, 24, 0, -24, 24, 0, -12, 84, 0, -48, 48, -144, 6, -24, -12, 0, 48, 144, 0, -24, 24, -132, -168, 0, 48, 156, 24, -12, 0, -54, 96, 0, 24, -12, -108, -48, -60, 156, -72, 0, 0, 0, 180, 0, 0, -72, -72, 18, -12, 12, 120, -96, 12, -24, 0, 204, 72, 0, -4, 96, 24, 0, 36, -48, 36, 108, -48, 0, 6, -150, 0, 12, -24, -72, -48, 96, 0, -120, -48, 168, 0, -120, -156, 0, -12, -180, 48, 72, 12, 0, -180, 0, 12, 0, -120, -216, 0, -60, 8, -132, 72, -120, 12, 0, 12, 60, 0, -36, 0, 0, -72, -12, 48, 0, -36, 48, 60, -36, 26, 0, -156, 192, 0, 36, -12, 0, -96, 168, 0, 108, 12, 24, 0, 60, -108, 0, 0, 60, -12, -144, -12, 144, 120, 18, 18, 0, 12, -228, 0, -114, 72, -180, -12, -48, 132, 144, -24, -96, 0, -144, 0, 0, 36, -36, 48, -240, -168, 132, -36, 108, 36, 0, -36, -18, 0, 36, -60, -132, 144, -96, -24, 168, 0, 6, 0, 0, -12, 0, 12, -42, 0, 0, 36, 48, 72, -24, 48, 0, -6, -318, 0, 72, -96, 24, 12, -12, -48, -96, -6, -24, 0, 48, -60, 0, -36, 24, 24, -48, -42, 120, -24, -132, -24, 0, -24, 24, 0, -12, 24, 216, 48, 36, 0, 12, 96, 0, 0, 144, 60, 0, -24, 156, 48, 72, 114, -24, 120, -120, 6, 0, -60, 360, 0, 84, 36, 300, 72, 48, 24, 240, 12, 12, 0, 96, -12, 0, 72, 0, -12, 36, 24, -336, 66, -36, 12, 0, 0, 0, 0, 6, 96, -288, -84, 36, -48, 180, -24, 66, 0, 192, 48, 0, -12, -18, 216, 0, -24, 192, -102, 0, 24, 0, 0, 72, 0, 72, -36, -204, -4], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 112398
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 12, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '130.2.l.a', 'source_level': 130, 'target_char_orbit': 12, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '130.2.l.a', 'target_level': 130, 'twist_class_label': '130.2.l.a', 'twist_class_level': 130, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 112399
{'conductor': 13, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 12, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '130.2.l.a', 'source_level': 130, 'target_char_orbit': 12, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '130.2.l.a', 'target_level': 130, 'twist_class_label': '130.2.l.a', 'twist_class_level': 130, 'twisting_char_label': '13.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 112400
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 12, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '130.2.l.a', 'source_level': 130, 'target_char_orbit': 13, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '650.2.m.a', 'target_level': 650, 'twist_class_label': '130.2.l.a', 'twist_class_level': 130, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 112401
{'conductor': 65, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 12, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '130.2.l.a', 'source_level': 130, 'target_char_orbit': 13, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '650.2.m.a', 'target_level': 650, 'twist_class_label': '130.2.l.a', 'twist_class_level': 130, 'twisting_char_label': '65.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 112402
{'conductor': 5, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 12, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '130.2.l.a', 'source_level': 130, 'target_char_orbit': 14, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '650.2.n.a', 'target_level': 650, 'twist_class_label': '130.2.l.a', 'twist_class_level': 130, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 112403
{'conductor': 65, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 12, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '130.2.l.a', 'source_level': 130, 'target_char_orbit': 14, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '650.2.n.a', 'target_level': 650, 'twist_class_label': '130.2.l.a', 'twist_class_level': 130, 'twisting_char_label': '65.r', 'twisting_char_orbit': 18, 'weight': 2}
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id: 112404
{'conductor': 5, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 12, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '130.2.l.a', 'source_level': 130, 'target_char_orbit': 14, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '650.2.n.b', 'target_level': 650, 'twist_class_label': '130.2.l.a', 'twist_class_level': 130, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 112405
{'conductor': 65, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 12, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '130.2.l.a', 'source_level': 130, 'target_char_orbit': 14, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '650.2.n.b', 'target_level': 650, 'twist_class_label': '130.2.l.a', 'twist_class_level': 130, 'twisting_char_label': '65.r', 'twisting_char_orbit': 18, 'weight': 2}
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id: 112406
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 12, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '130.2.l.a', 'source_level': 130, 'target_char_orbit': 79, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '1040.2.da.a', 'target_level': 1040, 'twist_class_label': '130.2.l.a', 'twist_class_level': 130, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 112407
{'conductor': 52, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 12, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '130.2.l.a', 'source_level': 130, 'target_char_orbit': 79, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '1040.2.da.a', 'target_level': 1040, 'twist_class_label': '130.2.l.a', 'twist_class_level': 130, 'twisting_char_label': '52.i', 'twisting_char_orbit': 9, 'weight': 2}
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id: 112408
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 12, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '130.2.l.a', 'source_level': 130, 'target_char_orbit': 45, 'target_dim': 4, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '1170.2.bs.c', 'target_level': 1170, 'twist_class_label': '130.2.l.a', 'twist_class_level': 130, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 112409
{'conductor': 39, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 12, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '130.2.l.a', 'source_level': 130, 'target_char_orbit': 45, 'target_dim': 4, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '1170.2.bs.c', 'target_level': 1170, 'twist_class_label': '130.2.l.a', 'twist_class_level': 130, 'twisting_char_label': '39.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 112410
{'conductor': 13, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 12, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '130.2.l.a', 'source_level': 130, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '1690.2.a.j', 'target_level': 1690, 'twist_class_label': '130.2.l.a', 'twist_class_level': 130, 'twisting_char_label': '13.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 112411
{'conductor': 13, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 12, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '130.2.l.a', 'source_level': 130, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 13, 'target_is_minimal': False, 'target_label': '1690.2.a.m', 'target_level': 1690, 'twist_class_label': '130.2.l.a', 'twist_class_level': 130, 'twisting_char_label': '13.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 112412
{'conductor': 13, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 12, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '130.2.l.a', 'source_level': 130, 'target_char_orbit': 4, 'target_dim': 4, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '1690.2.d.f', 'target_level': 1690, 'twist_class_label': '130.2.l.a', 'twist_class_level': 130, 'twisting_char_label': '13.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 112413
{'conductor': 13, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 12, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '130.2.l.a', 'source_level': 130, 'target_char_orbit': 4, 'target_dim': 4, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '1690.2.d.f', 'target_level': 1690, 'twist_class_label': '130.2.l.a', 'twist_class_level': 130, 'twisting_char_label': '13.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 112414
{'conductor': 13, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 12, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '130.2.l.a', 'source_level': 130, 'target_char_orbit': 5, 'target_dim': 4, 'target_hecke_orbit': 12, 'target_is_minimal': False, 'target_label': '1690.2.e.l', 'target_level': 1690, 'twist_class_label': '130.2.l.a', 'twist_class_level': 130, 'twisting_char_label': '13.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 112415
{'conductor': 13, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 12, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '130.2.l.a', 'source_level': 130, 'target_char_orbit': 5, 'target_dim': 4, 'target_hecke_orbit': 12, 'target_is_minimal': False, 'target_label': '1690.2.e.l', 'target_level': 1690, 'twist_class_label': '130.2.l.a', 'twist_class_level': 130, 'twisting_char_label': '13.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 112416
{'conductor': 13, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 12, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '130.2.l.a', 'source_level': 130, 'target_char_orbit': 5, 'target_dim': 4, 'target_hecke_orbit': 14, 'target_is_minimal': False, 'target_label': '1690.2.e.n', 'target_level': 1690, 'twist_class_label': '130.2.l.a', 'twist_class_level': 130, 'twisting_char_label': '13.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 112417
{'conductor': 13, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 12, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '130.2.l.a', 'source_level': 130, 'target_char_orbit': 5, 'target_dim': 4, 'target_hecke_orbit': 14, 'target_is_minimal': False, 'target_label': '1690.2.e.n', 'target_level': 1690, 'twist_class_label': '130.2.l.a', 'twist_class_level': 130, 'twisting_char_label': '13.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 112418
{'conductor': 13, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 12, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '130.2.l.a', 'source_level': 130, 'target_char_orbit': 12, 'target_dim': 4, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '1690.2.l.g', 'target_level': 1690, 'twist_class_label': '130.2.l.a', 'twist_class_level': 130, 'twisting_char_label': '13.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 112419
{'conductor': 13, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 12, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '130.2.l.a', 'source_level': 130, 'target_char_orbit': 12, 'target_dim': 4, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '1690.2.l.g', 'target_level': 1690, 'twist_class_label': '130.2.l.a', 'twist_class_level': 130, 'twisting_char_label': '13.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 112420
{'conductor': 65, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 12, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '130.2.l.a', 'source_level': 130, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 32, 'target_is_minimal': False, 'target_label': '8450.2.a.bf', 'target_level': 8450, 'twist_class_label': '130.2.l.a', 'twist_class_level': 130, 'twisting_char_label': '65.s', 'twisting_char_orbit': 19, 'weight': 2}
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id: 112421
{'conductor': 65, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 12, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '130.2.l.a', 'source_level': 130, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 39, 'target_is_minimal': False, 'target_label': '8450.2.a.bm', 'target_level': 8450, 'twist_class_label': '130.2.l.a', 'twist_class_level': 130, 'twisting_char_label': '65.s', 'twisting_char_orbit': 19, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 361000
{'charpoly_factorization': [[[1, 0, -1, 0, 1], 1]], 'hecke_orbit_code': 755947798658, 'p': 2}
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id: 361001
{'charpoly_factorization': [[[4, 4, 6, -2, 1], 1]], 'hecke_orbit_code': 755947798658, 'p': 3}
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id: 361002
{'charpoly_factorization': [[[1, 0, 1], 2]], 'hecke_orbit_code': 755947798658, 'p': 5}
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id: 361003
{'charpoly_factorization': [[[81, 0, -9, 0, 1], 1]], 'hecke_orbit_code': 755947798658, 'p': 7}
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id: 361004
{'charpoly_factorization': [[[81, 0, -9, 0, 1], 1]], 'hecke_orbit_code': 755947798658, 'p': 11}
-
id: 361005
{'charpoly_factorization': [[[13, -7, 1], 2]], 'hecke_orbit_code': 755947798658, 'p': 13}
-
id: 361006
{'charpoly_factorization': [[[324, -108, 54, 6, 1], 1]], 'hecke_orbit_code': 755947798658, 'p': 17}
-
id: 361007
{'charpoly_factorization': [[[9, 36, 51, 12, 1], 1]], 'hecke_orbit_code': 755947798658, 'p': 19}
-
id: 361008
{'charpoly_factorization': [[[576, 288, 120, 12, 1], 1]], 'hecke_orbit_code': 755947798658, 'p': 23}
-
id: 361009
{'charpoly_factorization': [[[576, -288, 120, -12, 1], 1]], 'hecke_orbit_code': 755947798658, 'p': 29}
-
id: 361010
{'charpoly_factorization': [[[36, 0, 24, 0, 1], 1]], 'hecke_orbit_code': 755947798658, 'p': 31}
-
id: 361011
{'charpoly_factorization': [[[81, 162, 99, -18, 1], 1]], 'hecke_orbit_code': 755947798658, 'p': 37}
-
id: 361012
{'charpoly_factorization': [[[108, 18, 1], 2]], 'hecke_orbit_code': 755947798658, 'p': 41}
-
id: 361013
{'charpoly_factorization': [[[4, 2, 1], 2]], 'hecke_orbit_code': 755947798658, 'p': 43}
-
id: 361014
{'charpoly_factorization': [[[9, 0, 1], 2]], 'hecke_orbit_code': 755947798658, 'p': 47}
-
id: 361015
{'charpoly_factorization': [[[-3, 6, 1], 2]], 'hecke_orbit_code': 755947798658, 'p': 53}
-
id: 361016
{'charpoly_factorization': [[[108, -18, 1], 2]], 'hecke_orbit_code': 755947798658, 'p': 59}
-
id: 361017
{'charpoly_factorization': [[[676, -52, 30, 2, 1], 1]], 'hecke_orbit_code': 755947798658, 'p': 61}
-
id: 361018
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 755947798658, 'p': 67}
-
id: 361019
{'charpoly_factorization': [[[1296, 0, -36, 0, 1], 1]], 'hecke_orbit_code': 755947798658, 'p': 71}
-
id: 361020
{'charpoly_factorization': [[[4356, 0, 168, 0, 1], 1]], 'hecke_orbit_code': 755947798658, 'p': 73}
-
id: 361021
{'charpoly_factorization': [[[-26, -2, 1], 2]], 'hecke_orbit_code': 755947798658, 'p': 79}
-
id: 361022
{'charpoly_factorization': [[[324, 0, 72, 0, 1], 1]], 'hecke_orbit_code': 755947798658, 'p': 83}
-
id: 361023
{'charpoly_factorization': [[[13689, -2106, -9, 18, 1], 1]], 'hecke_orbit_code': 755947798658, 'p': 89}
-
id: 361024
{'charpoly_factorization': [[[19044, -5796, 726, -42, 1], 1]], 'hecke_orbit_code': 755947798658, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 12, 'hecke_orbit': 1, 'label': '130.2.l.a', 'level': 130, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 42108000
{'hecke_orbit_code': 755947798658, 'n': 1, 'trace_an': 4}
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id: 42108001
{'hecke_orbit_code': 755947798658, 'n': 2, 'trace_an': 0}
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id: 42108002
{'hecke_orbit_code': 755947798658, 'n': 3, 'trace_an': 2}
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id: 42108003
{'hecke_orbit_code': 755947798658, 'n': 4, 'trace_an': 2}
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id: 42108004
{'hecke_orbit_code': 755947798658, 'n': 5, 'trace_an': 0}
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id: 42108005
{'hecke_orbit_code': 755947798658, 'n': 6, 'trace_an': 6}
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id: 42108006
{'hecke_orbit_code': 755947798658, 'n': 7, 'trace_an': 0}
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id: 42108007
{'hecke_orbit_code': 755947798658, 'n': 8, 'trace_an': 0}
-
id: 42108008
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