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mf_newforms • Show schema
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{'Nk2': 2116, 'analytic_conductor': 4.224086266925732, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 23, 'char_degree': 10, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 3, 'char_orbit_label': 'c', 'char_order': 11, 'char_parity': 1, 'char_values': [529, 11, [5], [8]], 'cm_discs': [], 'conrey_index': 118, 'dim': 20, 'field_disc': 54296067514572573056640625, 'field_disc_factorization': [[5, 10], [11, 18]], 'field_poly': [1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, -55, 34, -21, 13, -8, 5, -3, 2, -1, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'has_non_self_twist': 1, 'hecke_cutters': [[2, [1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, -55, 34, -21, 13, -8, 5, -3, 2, -1, 1]], [5, [1048576, 524288, 524288, 393216, 327680, 262144, 212992, 172032, 139264, 112640, 91136, -28160, 8704, -2688, 832, -256, 80, -24, 8, -2, 1]], [7, [1048576, -524288, 524288, -393216, 327680, -262144, 212992, -172032, 139264, -112640, 91136, 28160, 8704, 2688, 832, 256, 80, 24, 8, 2, 1]]], 'hecke_orbit': 15, 'hecke_orbit_code': 63050532255695377, 'hecke_ring_generator_nbound': 3, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 10, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 9, 23, 3, 1, 11, 0]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '529.2.c.o', 'level': 529, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': True, 'level_is_prime_square': True, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [23], 'level_radical': 23, 'minimal_twist': '23.2.a.a', 'nf_label': '20.0.54296067514572573056640625.1', 'prim_orbit_index': 3, 'qexp_display': 'q+\\beta _{16}q^{2}+(1+2\\beta _{1}+2\\beta _{2}+\\beta _{3}-2\\beta _{4}+\\cdots)q^{3}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c11', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '529.2.c', 'trace_display': [1, 0, 2, -2], 'trace_hash': 1440233481412326407, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '17.655', 'prec': 20}, {'__RealLiteral__': 0, 'data': '18.309', 'prec': 20}, {'__RealLiteral__': 0, 'data': '6482.564', 'prec': 27}, {'__RealLiteral__': 0, 'data': '16996.832', 'prec': 30}, {'__RealLiteral__': 0, 'data': '3468704.383', 'prec': 37}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.028', 'prec': 17}, 'traces': [20, 1, 0, 1, 2, 5, -2, 0, -4, -6, 6, -5, -6, -4, 10, 3, -6, 2, 4, 4, 10, -20, 0, 100, -2, 3, 0, 6, 6, -10, 0, -9, -10, 8, -8, 2, -2, -2, 0, 10, -2, 0, 0, -8, -40, 0, 0, 15, 2, 11, -10, 3, 8, -5, 4, 10, 0, -3, -4, 0, -4, -15, -4, -4, 6, -10, 10, 20, 0, -40, -20, 0, -22, 6, -20, -2, 16, 15, 4, -18, 22, 11, 22, -10, 16, 0, 0, -10, 12, -12, 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mf_hecke_nf • Show schema
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{'an': [[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0], [1, 2, 2, 1, -2, 1, 2, -1, -2, -1, -2, -1, 2, -1, -2, 1, 2, 1, -2, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 2], [0, 0, 0, 0, 2, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, -2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, -2, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 1, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, -2, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 1, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 6, -13, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, -30, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [34, 4, 4, 34, -4, 34, 4, -34, -4, -34, -4, -34, 4, -34, -4, 34, 4, 34, -4, 34], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -10, 38], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0], [0, 26, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, -36, 0, -18, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -28, 14, 0, 0, 0, 0], [30, 0, 18, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, -29, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 10, -28, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 14, -2, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -10, 17, 0, 0, 0, 0, 0, 0, 0, 0], [0, 4, 0, 18, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [9, 0, 30, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, -4, -14, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 14, 32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 38, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0], [0, 0, 0, 0, -24, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]], 'char_orbit_index': 3, 'field_poly': [1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, -55, 34, -21, 13, -8, 5, -3, 2, -1, 1], 'hecke_orbit_code': 63050532255695377, 'hecke_ring_character_values': [[5, [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89], 'hecke_ring_inverse_denominators': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 3, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -5, 3, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, -5, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -13, -8, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -21, 13, 0, 0], [21, -34, -34, 21, 34, 21, -34, -21, 34, -21, 34, -21, -34, -21, 34, 21, -34, 21, 34, 21], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 55, 34], [-55, 0, 89, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, -144, 0, 89, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, -233, -144, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, -377, -233, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, -610, 377, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 987, -610, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1597, 987, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2584, 1597, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4181, -2584, 0, 0]], 'hecke_ring_numerators': [[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [55, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0], [0, 144, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0], [0, 0, -144, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0], [0, 0, 233, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0], [0, 0, 0, 233, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0], [0, 0, 0, -377, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0], [0, 0, 0, 0, -377, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0], [0, 0, 0, 0, -610, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -3, 0, 0, 0, 0], [0, 0, 0, 0, 0, -610, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -3, 0, 0, 0], [0, 0, 0, 0, 0, -987, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -5, 0, 0, 0], [0, 0, 0, 0, 0, 0, 987, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0], [0, 0, 0, 0, 0, 0, -1597, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0], [0, 0, 0, 0, 0, 0, 0, -1597, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0], [0, 0, 0, 0, 0, 0, 0, 2584, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 13, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2584, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 13], [0, 0, 0, 0, 0, 0, 0, 0, 4181, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 21], [34, 68, 102, 170, 272, 442, 714, 1156, 1870, 3026, -1869, 1156, -714, 442, -272, 170, -102, 68, -34, 34], [-55, -110, -165, -275, -440, -715, -1155, -1870, -3025, -4895, 3026, -1870, 1155, -715, 440, -275, 165, -110, 55, -55]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 20, 'label': '529.2.c.o', 'level': 529, 'maxp': 997, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 2116, 'analytic_conductor': 4.224086266925732, 'char_conductor': 23, 'char_degree': 10, 'char_is_real': False, 'char_orbit_index': 3, 'char_orbit_label': 'c', 'char_order': 11, 'char_parity': 1, 'char_values': [529, 11, [5], [8]], 'conrey_index': 118, 'cusp_dim': 340, 'dim': 320, 'eis_dim': 240, 'eis_new_dim': 200, 'hecke_cutter_primes': [2, 5, 7], 'hecke_orbit_code': 137472508433, 'hecke_orbit_dims': [10, 10, 10, 10, 10, 10, 10, 10, 10, 20, 20, 20, 20, 20, 20, 30, 40, 40], 'label': '529.2.c', 'level': 529, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': True, 'level_is_prime_square': True, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [23], 'level_radical': 23, 'mf_dim': 580, 'mf_new_dim': 520, 'num_forms': 18, 'prim_orbit_index': 3, 'relative_dim': 32, 'sturm_bound': 92, 'trace_bound': 7, 'trace_display': [7, 7, 3, 5], 'traces': [320, 7, 7, -19, 3, -9, 5, -7, -9, -1, -7, -15, 3, -9, -12, -1, 10, 11, -2, 9, 2, 6, 0, -122, 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748, -172, 62, -249, -9, 89, -28, -283, -181, 16, -107, 117, -155, 100, 36, -99, 161, 321, 63, 65, 148, 134, 0, 1110, -33, -5, 270, -45, 353, 194, 342, 76, -7, -58, 692, -131, 2, 43, -102, -133, 309, 140, -58, -25, 198, 0, 1368, -40, 351, -1, -169, 57, -78, -19, -86, 57, 67, -104, 363, -18, 104, -71, -53, 200, 25, 37, -40, 106, 0, 544, 330, -96, 94, -13, 254, 19, -88, -64, -85, 99, -64, -167, 30, -143, 497, -231, -13, -15, 32, -19, -84, 0, -2800, -99, 218, -210, -16, -110, -169, 137, 483, -34, 155], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 371328
{'conductor': 23, 'degree': 10, 'multiplicity': 1, 'order': 11, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 20, 'source_hecke_orbit': 15, 'source_is_minimal': False, 'source_label': '529.2.c.o', 'source_level': 529, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '23.2.a.a', 'target_level': 23, 'twist_class_label': '23.2.a.a', 'twist_class_level': 23, 'twisting_char_label': '23.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 371329
{'conductor': 69, 'degree': 10, 'multiplicity': 1, 'order': 22, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 20, 'source_hecke_orbit': 15, 'source_is_minimal': False, 'source_label': '529.2.c.o', 'source_level': 529, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '207.2.a.d', 'target_level': 207, 'twist_class_label': '23.2.a.a', 'twist_class_level': 23, 'twisting_char_label': '69.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 371330
{'conductor': 92, 'degree': 10, 'multiplicity': 1, 'order': 22, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 20, 'source_hecke_orbit': 15, 'source_is_minimal': False, 'source_label': '529.2.c.o', 'source_level': 529, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '368.2.a.h', 'target_level': 368, 'twist_class_label': '23.2.a.a', 'twist_class_level': 23, 'twisting_char_label': '92.g', 'twisting_char_orbit': 7, 'weight': 2}
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id: 371331
{'conductor': 23, 'degree': 10, 'multiplicity': 1, 'order': 22, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 20, 'source_hecke_orbit': 15, 'source_is_minimal': False, 'source_label': '529.2.c.o', 'source_level': 529, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '529.2.a.a', 'target_level': 529, 'twist_class_label': '23.2.a.a', 'twist_class_level': 23, 'twisting_char_label': '23.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 371332
{'conductor': 23, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 20, 'source_hecke_orbit': 15, 'source_is_minimal': False, 'source_label': '529.2.c.o', 'source_level': 529, 'target_char_orbit': 3, 'target_dim': 20, 'target_hecke_orbit': 14, 'target_is_minimal': False, 'target_label': '529.2.c.n', 'target_level': 529, 'twist_class_label': '23.2.a.a', 'twist_class_level': 23, 'twisting_char_label': '23.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 371333
{'conductor': 23, 'degree': 10, 'multiplicity': 9, 'order': 22, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 20, 'source_hecke_orbit': 15, 'source_is_minimal': False, 'source_label': '529.2.c.o', 'source_level': 529, 'target_char_orbit': 3, 'target_dim': 20, 'target_hecke_orbit': 14, 'target_is_minimal': False, 'target_label': '529.2.c.n', 'target_level': 529, 'twist_class_label': '23.2.a.a', 'twist_class_level': 23, 'twisting_char_label': '23.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 371334
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 3, 'source_dim': 20, 'source_hecke_orbit': 15, 'source_is_minimal': False, 'source_label': '529.2.c.o', 'source_level': 529, 'target_char_orbit': 3, 'target_dim': 20, 'target_hecke_orbit': 15, 'target_is_minimal': False, 'target_label': '529.2.c.o', 'target_level': 529, 'twist_class_label': '23.2.a.a', 'twist_class_level': 23, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 371335
{'conductor': 23, 'degree': 10, 'multiplicity': 9, 'order': 11, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 20, 'source_hecke_orbit': 15, 'source_is_minimal': False, 'source_label': '529.2.c.o', 'source_level': 529, 'target_char_orbit': 3, 'target_dim': 20, 'target_hecke_orbit': 15, 'target_is_minimal': False, 'target_label': '529.2.c.o', 'target_level': 529, 'twist_class_label': '23.2.a.a', 'twist_class_level': 23, 'twisting_char_label': '23.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 371336
{'conductor': 115, 'degree': 10, 'multiplicity': 1, 'order': 22, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 20, 'source_hecke_orbit': 15, 'source_is_minimal': False, 'source_label': '529.2.c.o', 'source_level': 529, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '575.2.a.f', 'target_level': 575, 'twist_class_label': '23.2.a.a', 'twist_class_level': 23, 'twisting_char_label': '115.j', 'twisting_char_orbit': 10, 'weight': 2}
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id: 371337
{'conductor': 115, 'degree': 20, 'multiplicity': 2, 'order': 44, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 20, 'source_hecke_orbit': 15, 'source_is_minimal': False, 'source_label': '529.2.c.o', 'source_level': 529, 'target_char_orbit': 2, 'target_dim': 4, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '575.2.b.d', 'target_level': 575, 'twist_class_label': '23.2.a.a', 'twist_class_level': 23, 'twisting_char_label': '115.k', 'twisting_char_orbit': 11, 'weight': 2}
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id: 371338
{'conductor': 161, 'degree': 10, 'multiplicity': 1, 'order': 22, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 20, 'source_hecke_orbit': 15, 'source_is_minimal': False, 'source_label': '529.2.c.o', 'source_level': 529, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '1127.2.a.c', 'target_level': 1127, 'twist_class_label': '23.2.a.a', 'twist_class_level': 23, 'twisting_char_label': '161.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 371339
{'conductor': 184, 'degree': 10, 'multiplicity': 1, 'order': 22, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 20, 'source_hecke_orbit': 15, 'source_is_minimal': False, 'source_label': '529.2.c.o', 'source_level': 529, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 19, 'target_is_minimal': False, 'target_label': '1472.2.a.s', 'target_level': 1472, 'twist_class_label': '23.2.a.a', 'twist_class_level': 23, 'twisting_char_label': '184.k', 'twisting_char_orbit': 11, 'weight': 2}
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id: 371340
{'conductor': 184, 'degree': 10, 'multiplicity': 1, 'order': 22, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 20, 'source_hecke_orbit': 15, 'source_is_minimal': False, 'source_label': '529.2.c.o', 'source_level': 529, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 20, 'target_is_minimal': False, 'target_label': '1472.2.a.t', 'target_level': 1472, 'twist_class_label': '23.2.a.a', 'twist_class_level': 23, 'twisting_char_label': '184.p', 'twisting_char_orbit': 16, 'weight': 2}
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id: 371341
{'conductor': 253, 'degree': 10, 'multiplicity': 1, 'order': 22, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 20, 'source_hecke_orbit': 15, 'source_is_minimal': False, 'source_label': '529.2.c.o', 'source_level': 529, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '2783.2.a.c', 'target_level': 2783, 'twist_class_label': '23.2.a.a', 'twist_class_level': 23, 'twisting_char_label': '253.k', 'twisting_char_orbit': 11, 'weight': 2}
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id: 371342
{'conductor': 276, 'degree': 10, 'multiplicity': 1, 'order': 22, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 20, 'source_hecke_orbit': 15, 'source_is_minimal': False, 'source_label': '529.2.c.o', 'source_level': 529, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 27, 'target_is_minimal': False, 'target_label': '3312.2.a.ba', 'target_level': 3312, 'twist_class_label': '23.2.a.a', 'twist_class_level': 23, 'twisting_char_label': '276.o', 'twisting_char_orbit': 15, 'weight': 2}
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id: 371343
{'conductor': 299, 'degree': 10, 'multiplicity': 1, 'order': 22, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 20, 'source_hecke_orbit': 15, 'source_is_minimal': False, 'source_label': '529.2.c.o', 'source_level': 529, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '3887.2.a.i', 'target_level': 3887, 'twist_class_label': '23.2.a.a', 'twist_class_level': 23, 'twisting_char_label': '299.p', 'twisting_char_orbit': 16, 'weight': 2}
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id: 371344
{'conductor': 69, 'degree': 10, 'multiplicity': 1, 'order': 22, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 20, 'source_hecke_orbit': 15, 'source_is_minimal': False, 'source_label': '529.2.c.o', 'source_level': 529, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 23, 'target_is_minimal': False, 'target_label': '4761.2.a.w', 'target_level': 4761, 'twist_class_label': '23.2.a.a', 'twist_class_level': 23, 'twisting_char_label': '69.g', 'twisting_char_orbit': 7, 'weight': 2}
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id: 371345
{'conductor': 345, 'degree': 10, 'multiplicity': 1, 'order': 22, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 20, 'source_hecke_orbit': 15, 'source_is_minimal': False, 'source_label': '529.2.c.o', 'source_level': 529, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 31, 'target_is_minimal': False, 'target_label': '5175.2.a.be', 'target_level': 5175, 'twist_class_label': '23.2.a.a', 'twist_class_level': 23, 'twisting_char_label': '345.p', 'twisting_char_orbit': 16, 'weight': 2}
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id: 371346
{'conductor': 391, 'degree': 10, 'multiplicity': 1, 'order': 22, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 20, 'source_hecke_orbit': 15, 'source_is_minimal': False, 'source_label': '529.2.c.o', 'source_level': 529, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '6647.2.a.b', 'target_level': 6647, 'twist_class_label': '23.2.a.a', 'twist_class_level': 23, 'twisting_char_label': '391.n', 'twisting_char_orbit': 14, 'weight': 2}
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id: 371347
{'conductor': 437, 'degree': 10, 'multiplicity': 1, 'order': 22, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 20, 'source_hecke_orbit': 15, 'source_is_minimal': False, 'source_label': '529.2.c.o', 'source_level': 529, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '8303.2.a.e', 'target_level': 8303, 'twist_class_label': '23.2.a.a', 'twist_class_level': 23, 'twisting_char_label': '437.o', 'twisting_char_orbit': 15, 'weight': 2}
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id: 371348
{'conductor': 92, 'degree': 10, 'multiplicity': 1, 'order': 22, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 20, 'source_hecke_orbit': 15, 'source_is_minimal': False, 'source_label': '529.2.c.o', 'source_level': 529, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 28, 'target_is_minimal': False, 'target_label': '8464.2.a.bb', 'target_level': 8464, 'twist_class_label': '23.2.a.a', 'twist_class_level': 23, 'twisting_char_label': '92.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 371349
{'conductor': 460, 'degree': 10, 'multiplicity': 1, 'order': 22, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 20, 'source_hecke_orbit': 15, 'source_is_minimal': False, 'source_label': '529.2.c.o', 'source_level': 529, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 46, 'target_is_minimal': False, 'target_label': '9200.2.a.bt', 'target_level': 9200, 'twist_class_label': '23.2.a.a', 'twist_class_level': 23, 'twisting_char_label': '460.n', 'twisting_char_orbit': 14, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 1012550
{'charpoly_factorization': [[[1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, -55, 34, -21, 13, -8, 5, -3, 2, -1, 1], 1]], 'hecke_orbit_code': 63050532255695377, 'p': 2}
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id: 1012551
{'charpoly_factorization': [[[9765625, 0, 1953125, 0, 390625, 0, 78125, 0, 15625, 0, 3125, 0, 625, 0, 125, 0, 25, 0, 5, 0, 1], 1]], 'hecke_orbit_code': 63050532255695377, 'p': 3}
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id: 1012552
{'charpoly_factorization': [[[1048576, 524288, 524288, 393216, 327680, 262144, 212992, 172032, 139264, 112640, 91136, -28160, 8704, -2688, 832, -256, 80, -24, 8, -2, 1], 1]], 'hecke_orbit_code': 63050532255695377, 'p': 5}
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id: 1012553
{'charpoly_factorization': [[[1048576, -524288, 524288, -393216, 327680, -262144, 212992, -172032, 139264, -112640, 91136, 28160, 8704, 2688, 832, 256, 80, 24, 8, 2, 1], 1]], 'hecke_orbit_code': 63050532255695377, 'p': 7}
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id: 1012554
{'charpoly_factorization': [[[1048576, -1572864, 2097152, -2752512, 3604480, -4718592, 6176768, -8085504, 10584064, -13854720, 18136064, -3463680, 661504, -126336, 24128, -4608, 880, -168, 32, -6, 1], 1]], 'hecke_orbit_code': 63050532255695377, 'p': 11}
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id: 1012555
{'charpoly_factorization': [[[59049, 19683, 6561, 2187, 729, 243, 81, 27, 9, 3, 1], 2]], 'hecke_orbit_code': 63050532255695377, 'p': 13}
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id: 1012556
{'charpoly_factorization': [[[1048576, 1572864, 2097152, 2752512, 3604480, 4718592, 6176768, 8085504, 10584064, 13854720, 18136064, 3463680, 661504, 126336, 24128, 4608, 880, 168, 32, 6, 1], 1]], 'hecke_orbit_code': 63050532255695377, 'p': 17}
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id: 1012557
{'charpoly_factorization': [[[1024, -512, 256, -128, 64, -32, 16, -8, 4, -2, 1], 2]], 'hecke_orbit_code': 63050532255695377, 'p': 19}
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id: 1012558
{'charpoly_factorization': [[[0, 1], 20]], 'hecke_orbit_code': 63050532255695377, 'p': 23}
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id: 1012559
{'charpoly_factorization': [[[59049, -19683, 6561, -2187, 729, -243, 81, -27, 9, -3, 1], 2]], 'hecke_orbit_code': 63050532255695377, 'p': 29}
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id: 1012560
{'charpoly_factorization': [[[34050628916015625, 0, 756680642578125, 0, 16815125390625, 0, 373669453125, 0, 8303765625, 0, 184528125, 0, 4100625, 0, 91125, 0, 2025, 0, 45, 0, 1], 1]], 'hecke_orbit_code': 63050532255695377, 'p': 31}
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id: 1012561
{'charpoly_factorization': [[[1048576, -524288, 524288, -393216, 327680, -262144, 212992, -172032, 139264, -112640, 91136, 28160, 8704, 2688, 832, 256, 80, 24, 8, 2, 1], 1]], 'hecke_orbit_code': 63050532255695377, 'p': 37}
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id: 1012562
{'charpoly_factorization': [[[6131066257801, -645375395558, 390621949943, -75085226076, 28462758005, -6947933794, 2229401347, -600354552, 180532129, -50600990, 14828111, 2663210, 500089, 87528, 17107, 2806, 605, 84, 23, 2, 1], 1]], 'hecke_orbit_code': 63050532255695377, 'p': 41}
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id: 1012563
{'charpoly_factorization': [[[0, 1], 20]], 'hecke_orbit_code': 63050532255695377, 'p': 43}
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id: 1012564
{'charpoly_factorization': [[[-5, 0, 1], 10]], 'hecke_orbit_code': 63050532255695377, 'p': 47}
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id: 1012565
{'charpoly_factorization': [[[1048576, 2097152, 4456448, 9437184, 19988480, 42336256, 89669632, 189923328, 402264064, 852008960, 1804583936, -213002240, 25141504, -2967552, 350272, -41344, 4880, -576, 68, -8, 1], 1]], 'hecke_orbit_code': 63050532255695377, 'p': 53}
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id: 1012566
{'charpoly_factorization': [[[1099511627776, -274877906944, 137438953472, -51539607552, 21474836480, -8589934592, 3489660928, -1409286144, 570425344, -230686720, 93323264, 14417920, 2228224, 344064, 53248, 8192, 1280, 192, 32, 4, 1], 1]], 'hecke_orbit_code': 63050532255695377, 'p': 59}
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id: 1012567
{'charpoly_factorization': [[[6428888932339941376, -338362575386312704, 102399200445857792, -9841570752233472, 1865335308615680, -227669894561792, 36526511669248, -4918104489984, 739459600384, -103630827520, 15183985664, 1363563520, 128022784, 11203584, 1094848, 89792, 9680, 672, 92, 4, 1], 1]], 'hecke_orbit_code': 63050532255695377, 'p': 61}
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id: 1012568
{'charpoly_factorization': [[[10240000000000, -5120000000000, 2048000000000, -768000000000, 281600000000, -102400000000, 37120000000, -13440000000, 4864000000, -1760000000, 636800000, -88000000, 12160000, -1680000, 232000, -32000, 4400, -600, 80, -10, 1], 1]], 'hecke_orbit_code': 63050532255695377, 'p': 67}
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id: 1012569
{'charpoly_factorization': [[[59873693923837890625, 12604988194492187500, 2023432315431640625, 293301664359375000, 40448431281640625, 5428073276562500, 716979307890625, 93805398750000, 12201354390625, 1581280937500, 204465940625, 16645062500, 1351950625, 109410000, 8802625, 701500, 55025, 4200, 305, 20, 1], 1]], 'hecke_orbit_code': 63050532255695377, 'p': 71}
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id: 1012570
{'charpoly_factorization': [[[110462212541120451001, 24061075999055939822, 4147341182555546783, 665152772447189004, 103821978329530805, 16029017334678106, 2463528742904827, 377907079299288, 57925019818609, 8875676799110, 1359800690711, 87877988110, 5678366809, 366792888, 23674027, 1525106, 97805, 6204, 383, 22, 1], 1]], 'hecke_orbit_code': 63050532255695377, 'p': 73}
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id: 1012571
{'charpoly_factorization': [[[6428888932339941376, 338362575386312704, 102399200445857792, 9841570752233472, 1865335308615680, 227669894561792, 36526511669248, 4918104489984, 739459600384, 103630827520, 15183985664, -1363563520, 128022784, -11203584, 1094848, -89792, 9680, -672, 92, -4, 1], 1]], 'hecke_orbit_code': 63050532255695377, 'p': 79}
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id: 1012572
{'charpoly_factorization': [[[441143507864991563776, -83665148043360468992, 12064566802490851328, -1566856220788260864, 193157500472852480, -23125937841504256, 2720802862415872, -316652802859008, 36599644831744, -4211546408960, 483227380736, -36306434560, 2719949824, -202866048, 15026752, -1101056, 79280, -5544, 368, -22, 1], 1]], 'hecke_orbit_code': 63050532255695377, 'p': 83}
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id: 1012573
{'charpoly_factorization': [[[1099511627776, -824633720832, 549755813888, -360777252864, 236223201280, -154618822656, 101200166912, -66236448768, 43352326144, -28374466560, 18571329536, -1773404160, 169345024, -16171008, 1544192, -147456, 14080, -1344, 128, -12, 1], 1]], 'hecke_orbit_code': 63050532255695377, 'p': 89}
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id: 1012574
{'charpoly_factorization': [[[6428888932339941376, 1860994164624719872, 454118193281630208, 106968501152251904, 24989326737735680, 5826272198393856, 1357745547722752, 316370129625088, 73715754000384, 17176006031360, 4002057614336, 226000079360, 12762422784, 720700288, 40697152, 2297856, 129680, 7304, 408, 22, 1], 1]], 'hecke_orbit_code': 63050532255695377, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 3, 'hecke_orbit': 15, 'label': '529.2.c.o', 'level': 529, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
-
id: 60250201
{'hecke_orbit_code': 63050532255695377, 'n': 1, 'trace_an': 20}
-
id: 60250202
{'hecke_orbit_code': 63050532255695377, 'n': 2, 'trace_an': 1}
-
id: 60250203
{'hecke_orbit_code': 63050532255695377, 'n': 3, 'trace_an': 0}
-
id: 60250204
{'hecke_orbit_code': 63050532255695377, 'n': 4, 'trace_an': 1}
-
id: 60250205
{'hecke_orbit_code': 63050532255695377, 'n': 5, 'trace_an': 2}
-
id: 60250206
{'hecke_orbit_code': 63050532255695377, 'n': 6, 'trace_an': 5}
-
id: 60250207
{'hecke_orbit_code': 63050532255695377, 'n': 7, 'trace_an': -2}
-
id: 60250208
{'hecke_orbit_code': 63050532255695377, 'n': 8, 'trace_an': 0}
-
id: 60250209
{'hecke_orbit_code': 63050532255695377, 'n': 9, 'trace_an': -4}
-
id: 60250210
{'hecke_orbit_code': 63050532255695377, 'n': 10, 'trace_an': -6}
-
id: 60250211
{'hecke_orbit_code': 63050532255695377, 'n': 11, 'trace_an': 6}
-
id: 60250212
{'hecke_orbit_code': 63050532255695377, 'n': 12, 'trace_an': -5}
-
id: 60250213
{'hecke_orbit_code': 63050532255695377, 'n': 13, 'trace_an': -6}
-
id: 60250214
{'hecke_orbit_code': 63050532255695377, 'n': 14, 'trace_an': -4}
-
id: 60250215
{'hecke_orbit_code': 63050532255695377, 'n': 15, 'trace_an': 10}
-
id: 60250216
{'hecke_orbit_code': 63050532255695377, 'n': 16, 'trace_an': 3}
-
id: 60250217
{'hecke_orbit_code': 63050532255695377, 'n': 17, 'trace_an': -6}
-
id: 60250218
{'hecke_orbit_code': 63050532255695377, 'n': 18, 'trace_an': 2}
-
id: 60250219
{'hecke_orbit_code': 63050532255695377, 'n': 19, 'trace_an': 4}
-
id: 60250220
{'hecke_orbit_code': 63050532255695377, 'n': 20, 'trace_an': 4}
-
id: 60250221
{'hecke_orbit_code': 63050532255695377, 'n': 21, 'trace_an': 10}
-
id: 60250222
{'hecke_orbit_code': 63050532255695377, 'n': 22, 'trace_an': -20}
-
id: 60250223
{'hecke_orbit_code': 63050532255695377, 'n': 23, 'trace_an': 0}
-
id: 60250224
{'hecke_orbit_code': 63050532255695377, 'n': 24, 'trace_an': 100}
-
id: 60250225
{'hecke_orbit_code': 63050532255695377, 'n': 25, 'trace_an': -2}
-
id: 60250226
{'hecke_orbit_code': 63050532255695377, 'n': 26, 'trace_an': 3}
-
id: 60250227
{'hecke_orbit_code': 63050532255695377, 'n': 27, 'trace_an': 0}
-
id: 60250228
{'hecke_orbit_code': 63050532255695377, 'n': 28, 'trace_an': 6}
-
id: 60250229
{'hecke_orbit_code': 63050532255695377, 'n': 29, 'trace_an': 6}
-
id: 60250230
{'hecke_orbit_code': 63050532255695377, 'n': 30, 'trace_an': -10}
-
id: 60250231
{'hecke_orbit_code': 63050532255695377, 'n': 31, 'trace_an': 0}
-
id: 60250232
{'hecke_orbit_code': 63050532255695377, 'n': 32, 'trace_an': -9}
-
id: 60250233
{'hecke_orbit_code': 63050532255695377, 'n': 33, 'trace_an': -10}
-
id: 60250234
{'hecke_orbit_code': 63050532255695377, 'n': 34, 'trace_an': 8}
-
id: 60250235
{'hecke_orbit_code': 63050532255695377, 'n': 35, 'trace_an': -8}
-
id: 60250236
{'hecke_orbit_code': 63050532255695377, 'n': 36, 'trace_an': 2}
-
id: 60250237
{'hecke_orbit_code': 63050532255695377, 'n': 37, 'trace_an': -2}
-
id: 60250238
{'hecke_orbit_code': 63050532255695377, 'n': 38, 'trace_an': -2}
-
id: 60250239
{'hecke_orbit_code': 63050532255695377, 'n': 39, 'trace_an': 0}
-
id: 60250240
{'hecke_orbit_code': 63050532255695377, 'n': 40, 'trace_an': 10}
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id: 60250241
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id: 60250446
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id: 60250447
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id: 60250448
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id: 60250449
{'hecke_orbit_code': 63050532255695377, 'n': 941, 'trace_an': 18}
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id: 60250450
{'hecke_orbit_code': 63050532255695377, 'n': 947, 'trace_an': 44}
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id: 60250451
{'hecke_orbit_code': 63050532255695377, 'n': 953, 'trace_an': -32}
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id: 60250452
{'hecke_orbit_code': 63050532255695377, 'n': 961, 'trace_an': -28}
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id: 60250453
{'hecke_orbit_code': 63050532255695377, 'n': 967, 'trace_an': -120}
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id: 60250454
{'hecke_orbit_code': 63050532255695377, 'n': 971, 'trace_an': -24}
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id: 60250455
{'hecke_orbit_code': 63050532255695377, 'n': 977, 'trace_an': 78}
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id: 60250456
{'hecke_orbit_code': 63050532255695377, 'n': 983, 'trace_an': 72}
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id: 60250457
{'hecke_orbit_code': 63050532255695377, 'n': 991, 'trace_an': -48}
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id: 60250458
{'hecke_orbit_code': 63050532255695377, 'n': 997, 'trace_an': 20}