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mf_newforms • Show schema
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{'Nk2': 2400, 'analytic_conductor': 4.791024121276823, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 40, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 4, 'char_orbit_label': 'd', 'char_order': 2, 'char_parity': 1, 'char_values': [600, 2, [151, 301, 401, 577], [2, 1, 2, 1]], 'cm_discs': [], 'conrey_index': 349, 'conrey_indexes': [349], 'dim': 6, 'field_disc': -399424, 'field_disc_factorization': [[-1, 1], [2, 6], [79, 2]], 'field_poly': [8, -8, 6, -6, 3, -2, 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': [[7, [256, 0, 320, 0, 36, 0, 1]], [11, [4096, 0, 1088, 0, 64, 0, 1]], [13, [16, -28, 0, 1]], [37, [256, -60, -4, 1]]], 'hecke_orbit': 6, 'hecke_orbit_code': 22518204328837720, 'hecke_ring_generator_nbound': 7, 'hecke_ring_index': 8, 'hecke_ring_index_factorization': [[2, 3]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 40, 6, 1, 2, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '600.2.d.f', 'level': 600, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5], 'level_radical': 30, 'minimal_twist': '120.2.k.b', 'nf_label': '6.0.399424.1', 'prim_orbit_index': 6, 'qexp_display': 'q-\\beta _{2}q^{2}+q^{3}-\\beta _{1}q^{4}-\\beta _{2}q^{6}+(\\beta _{1}+\\cdots)q^{7}+\\cdots', 'related_objects': [], 'relative_dim': 6, 'rm_discs': [], 'sato_tate_group': '1.2.3.c2', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '600.2.d', 'trace_display': [0, 6, 0, 0], 'trace_hash': 1731071790380862453, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.025', 'prec': 17}, {'__RealLiteral__': 0, 'data': '5.648', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.335', 'prec': 17}, {'__RealLiteral__': 0, 'data': '160.888', 'prec': 24}, {'__RealLiteral__': 0, 'data': '66.778', 'prec': 20}, {'__RealLiteral__': 0, 'data': '6355.991', 'prec': 27}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.511', 'prec': 17}, 'traces': [6, 0, 6, 2, 0, 0, 0, -6, 6, 0, 0, 2, 0, 16, 0, 10, 0, 0, 0, 0, 0, 12, 0, -6, 0, 28, 6, 20, 0, 0, -12, -10, 0, -12, 0, 2, 8, 20, 0, 0, -20, 16, -8, 4, 0, -20, 0, 10, -30, 0, 0, -12, 12, 0, 0, 4, 0, -4, 0, 0, 0, -28, 0, -22, 0, 12, 24, 0, 0, 0, -8, -6, 0, -12, 0, 12, -32, 28, -36, 0, 6, -16, 32, 20, 0, -16, 0, -60, 28, 0, 0, -12, -12, -4, 0, -10, 0, -56, 0, 0, 0, -12, 0, 28, 0, 0, 40, 2, 0, 0, 8, 28, 0, 20, 0, 8, 0, 4, 24, 0, -62, 24, -20, 8, 0, 16, 0, -42, -8, 0, 0, 4, -64, 0, 0, -32, 0, -20, 0, 0, 0, 40, 0, 10, 0, -12, -30, 68, 0, 0, 28, -12, 0, 32, 0, -12, -56, 28, 12, 0, 64, 0, -40, -60, 0, 16, 0, 4, 34, 0, 0, -56, 28, -4, 0, -12, 0, -16, 0, 0, 0, 40, 0, 12, 0, -28, -64, 4, 0, 0, -48, -22, 0, -28, 0, 14, 84, 12, 76, 0, 24, -4, 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4, 0, 56, 0, 56, 0, 0, -60, 24, 0, 96, 0, 64, 24, -28, 8, 0], 'weight': 2, 'weight_parity': 1}
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mf_hecke_nf • Show schema
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{'an': [[1, 0, 0, 0, 0, 0], [0, 0, -1, 0, 0, 0], [1, 0, 0, 0, 0, 0], [0, -1, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, -1, 0, 0, 0], [0, 1, 1, 0, -1, 0], [-1, 0, -1, 1, 0, -1], [1, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, 0, 1, 0, -2], [0, -1, 0, 0, 0, 0], [0, 1, -3, 1, -1, 0], [3, 2, 0, 0, -1, 1], [0, 0, 0, 0, 0, 0], [2, 0, 1, 1, 1, 0], [0, -1, -1, -1, 1, -2], [0, 0, -1, 0, 0, 0], [0, 1, 1, 1, -1, 0], [0, 0, 0, 0, 0, 0], [0, 1, 1, 0, -1, 0], [3, 2, 0, 2, 1, 1], [0, -1, -1, -1, 1, 0], [-1, 0, -1, 1, 0, -1], [0, 0, 0, 0, 0, 0], [4, -2, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0], [3, 0, -2, -2, -1, 1], [0, 0, 0, -1, 0, 0], [0, 0, 0, 0, 0, 0], [-2, -1, 3, -1, 1, 0], [-1, 0, -1, -1, 2, -1], [0, 0, 0, 1, 0, -2], [-2, 0, 0, 2, 0, 2], [0, 0, 0, 0, 0, 0], [0, -1, 0, 0, 0, 0], [0, -3, 1, -1, -1, 0], [4, 2, 0, 0, 0, 0], [0, 1, -3, 1, -1, 0], [0, 0, 0, 0, 0, 0], [-2, 2, 2, 0, 2, 0], [3, 2, 0, 0, -1, 1], [0, 2, 2, 0, 2, 0], [1, -2, 0, -4, 3, -1], [0, 0, 0, 0, 0, 0], [-4, -2, 0, 0, 0, 0], [0, 1, 1, -1, -1, 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'char_orbit_index': 4, 'field_poly': [8, -8, 6, -6, 3, -2, 1], 'hecke_orbit_code': 22518204328837720, 'hecke_ring_character_values': [[151, [1, 0, 0, 0, 0, 0]], [301, [-1, 0, 0, 0, 0, 0]], [401, [1, 0, 0, 0, 0, 0]], [577, [-1, 0, 0, 0, 0, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 2, 2, 1, 1], 'hecke_ring_inverse_denominators': [1, 2, 1, 2, 1, 2], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0, 0, 0], [1, 0, 0, 0, 1, -1], [0, 1, 0, 0, 0, 0], [3, 2, -2, 2, -1, 1], [2, 0, 1, 1, 1, 0], [5, 2, 6, -2, 1, -1]], 'hecke_ring_numerators': [[1, 0, 0, 0, 0, 0], [0, 0, 1, 0, 0, 0], [-4, 0, -2, 1, 0, 1], [-8, 2, -4, 3, 0, 1], [4, -1, 3, -2, 1, -1], [5, -3, 3, -2, 1, -1]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 6, 'label': '600.2.d.f', 'level': 600, 'maxp': 997, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 2400, 'analytic_conductor': 4.791024121276823, 'char_conductor': 40, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 4, 'char_orbit_label': 'd', 'char_order': 2, 'char_parity': 1, 'char_values': [600, 2, [151, 301, 401, 577], [2, 1, 2, 1]], 'conrey_index': 349, 'cusp_dim': 108, 'dim': 36, 'eis_dim': 24, 'eis_new_dim': 0, 'hecke_cutter_primes': [7, 11, 13, 37], 'hecke_orbit_code': 206191985240, 'hecke_orbit_dims': [2, 2, 2, 2, 6, 6, 8, 8], 'label': '600.2.d', 'level': 600, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5], 'level_radical': 30, 'mf_dim': 132, 'mf_new_dim': 36, 'num_forms': 8, 'prim_orbit_index': 6, 'relative_dim': 36, 'sturm_bound': 240, 'trace_bound': 3, 'trace_display': [0, 0, 0, 0], 'traces': [36, 0, 0, -4, 0, 4, 0, 0, 36, 0, 0, 0, 0, 28, 0, 4, 0, 0, 0, 0, 0, 0, 0, 4, 0, 36, 0, 0, 0, 0, 40, 0, 0, -32, 0, -4, 0, 0, 16, 0, 8, 0, 0, 0, 0, -32, 0, 0, -36, 0, 0, 0, 0, 4, 0, -8, 0, 0, 0, 0, 0, 0, 0, 20, 0, -32, 0, 0, 0, 0, -64, 0, 0, -88, 0, -16, 0, 0, -24, 0, 36, 0, 0, -8, 0, -100, 0, 0, 40, 0, 0, 0, 0, -32, 0, 4, 0, 0, 0, 0, 0, 0, 0, 48, 0, -80, 0, 0, 0, 0, 32, 0, 0, 44, 0, 56, 0, 0, -64, 0, -52, 0, 0, -40, 0, 28, 0, 0, 0, 0, 0, 0, 0, 84, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 128, 0, 0, 0, 0, -72, 0, 0, -56, 0, -72, 0, 0, -56, 0, -32, 0, 0, 0, 0, 104, 0, 0, -4, 0, 0, 0, 0, -16, 0, -72, 0, 0, 0, 0, 0, 0, 0, -24, 0, -76, 0, 0, 0, 0, -48, 0, 0, 116, 0, 44, 0, 0, 120, 0, 0, 0, 0, -8, 0, -8, 0, 0, 32, 0, 0, 0, 0, -176, 0, 4, 0, 0, 0, 0, 0, 0, 0, 96, 0, -104, 0, 0, 0, 0, -48, 0, 0, 36, 0, 248, 0, 0, -48, 0, 24, 0, 0, 88, 0, 32, 0, 0, 64, 0, 0, 0, 0, -8, 0, 164, 0, 0, 0, 0, 0, 0, 0, -136, 0, 28, 0, 0, 0, 0, 168, 0, 0, 64, 0, -80, 0, 0, 40, 0, -72, 0, 0, -56, 0, 8, 0, 0, -140, 0, 0, 0, 0, -32, 0, -120, 0, 0, 0, 0, 0, 0, 0, 56, 0, -32, 0, 0, 0, 0, -64, 0, 0, 28, 0, -192, 0, 0, 64, 0, 80, 0, 0, -4, 0, -20, 0, 0, -128, 0, 0, 0, 0, 8, 0, 136, 0, 0, 0, 0, 0, 0, 0, -128, 0, 88, 0, 0, 0, 0, 16, 0, 0, -48, 0, 88, 0, 0, -128, 0, -68, 0, 0, 328, 0, 172, 0, 0, 8, 0, 0, 0, 0, 128, 0, 88, 0, 0, 0, 0, 0, 0, 0, -52, 0, 316, 0, 0, 0, 0, -32, 0, 0, 120, 0, 0, 0, 0, -160, 0, -40, 0, 0, -152, 0, 104, 0, 0, 104, 0, 0, 0, 0, -32, 0, -48, 0, 0, 0, 0, 0, 0, 0, 88, 0, -16, 0, 0, 0, 0, 160, 0, 0, -44, 0, -104, 0, 0, 280, 0, -36, 0, 0, 56, 0, -204, 0, 0, 72, 0, 0, 0, 0, 144, 0, 144, 0, 0, 0, 0, 0, 0, 0, -64, 0, -280, 0, 0, 0, 0, -64, 0, 0, 96, 0, 56, 0, 0, 240, 0, 32, 0, 0, 116, 0, 4, 0, 0, -32, 0, 0, 0, 0, -188, 0, -112, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 16, 0, 0, 40, 0, -224, 0, 0, 8, 0, 264, 0, 0, -240, 0, -24, 0, 0, 28, 0, 0, 0, 0, 0, 0, -528, 0, 0, 0, 0, 0, 0, 0, -288, 0, -28, 0, 0, 0, 0, 16, 0, 0, -180, 0, -184, 0, 0, -144, 0, -64, 0, 0, 104, 0, -84, 0, 0, 24, 0, 0, 0, 0, -48, 0, 20, 0, 0, 0, 0, 0, 0, 0, 64, 0, 120, 0, 0, 0, 0, 72, 0, 0, -32, 0, 80, 0, 0, -368, 0, -40, 0, 0, -344, 0, 104, 0, 0, -80, 0, 0, 0, 0, 76, 0, 384, 0, 0, 0, 0, 0, 0, 0, -72, 0, 36, 0, 0, 0, 0, -168, 0, 0, -16, 0, -80, 0, 0, -64, 0, -168, 0, 0, 88, 0, -8, 0, 0, -320, 0, 0, 0, 0, 124, 0, -120, 0, 0, 0, 0, 0, 0, 0, -192, 0, -88, 0, 0, 0, 0, -144, 0, 0, -268, 0, 172, 0, 0, 160, 0, -64, 0, 0, -16, 0, -540, 0, 0, 192, 0, 0, 0, 0, 56, 0, -32, 0, 0, 0, 0, 0, 0, 0, 312, 0, -112, 0, 0, 0, 0, -24, 0, 0, 168, 0, -88, 0, 0, 352, 0, -336, 0, 0, 40, 0, 44, 0, 0, 36, 0, 0, 0, 0, 164, 0, -120, 0, 0, 0, 0, 0, 0, 0, 56, 0, 164, 0, 0, 0, 0, 216, 0, 0, -248, 0, -8, 0, 0, 256, 0, 136, 0, 0, 8, 0, 360, 0, 0, -88, 0, 0, 0, 0, -100, 0, -120, 0, 0, 0, 0, 0, 0, 0, 332, 0, -120, 0, 0, 0, 0, 688, 0, 0, 212, 0, -40, 0, 0, -64, 0, 40, 0, 0, -112, 0, -52, 0, 0, -232, 0, 0, 0, 0, -304, 0, 192, 0, 0, 0, 0, 0, 0, 0, 296, 0, -120, 0, 0, 0, 0, 16, 0, 0, 24, 0, 552, 0, 0, 64, 0, 132, 0, 0, -176, 0, -32, 0, 0, 128, 0, 0, 0, 0, 276, 0, 144, 0, 0, 0, 0, 0, 0, 0, 4, 0, -12, 0, 0, 0, 0, 240, 0, 0, -104, 0, 64, 0, 0, -232, 0, 360, 0, 0, -72, 0, -48, 0, 0, 240, 0, 0, 0, 0, 32, 0, -104, 0, 0, 0, 0, 0, 0, 0, 128, 0, -132, 0, 0, 0, 0, -160, 0, 0, 80, 0, -72, 0, 0, -216, 0, 32, 0, 0, 120, 0, 104, 0, 0, 40, 0, 0, 0, 0, -232, 0, 48, 0, 0, 0, 0, 0, 0, 0, -248, 0, 264, 0, 0, 0, 0, -168, 0, 0, -80, 0, 152, 0, 0, 560, 0, 196, 0, 0, 176, 0, 248, 0, 0, -64, 0, 0, 0, 0, 316, 0, 0, 0, 0, 0, 0, 0, 0, 0, 40, 0, 608, 0, 0, 0, 0, -504, 0, 0, 256, 0, 112, 0, 0, 32, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 408400
{'conductor': 5, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 6, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '600.2.d.f', 'source_level': 600, 'target_char_orbit': 11, 'target_dim': 6, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '120.2.k.b', 'target_level': 120, 'twist_class_label': '120.2.k.b', 'twist_class_level': 120, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 408401
{'conductor': 40, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 6, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '600.2.d.f', 'source_level': 600, 'target_char_orbit': 11, 'target_dim': 6, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '120.2.k.b', 'target_level': 120, 'twist_class_label': '120.2.k.b', 'twist_class_level': 120, 'twisting_char_label': '40.i', 'twisting_char_orbit': 9, 'weight': 2}
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id: 408402
{'conductor': 15, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 6, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '600.2.d.f', 'source_level': 600, 'target_char_orbit': 11, 'target_dim': 6, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '360.2.k.f', 'target_level': 360, 'twist_class_label': '120.2.k.b', 'twist_class_level': 120, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 408403
{'conductor': 120, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 6, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '600.2.d.f', 'source_level': 600, 'target_char_orbit': 11, 'target_dim': 6, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '360.2.k.f', 'target_level': 360, 'twist_class_label': '120.2.k.b', 'twist_class_level': 120, 'twisting_char_label': '120.w', 'twisting_char_orbit': 23, 'weight': 2}
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id: 408404
{'conductor': 20, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 6, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '600.2.d.f', 'source_level': 600, 'target_char_orbit': 11, 'target_dim': 6, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '480.2.k.b', 'target_level': 480, 'twist_class_label': '120.2.k.b', 'twist_class_level': 120, 'twisting_char_label': '20.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 408405
{'conductor': 40, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 6, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '600.2.d.f', 'source_level': 600, 'target_char_orbit': 11, 'target_dim': 6, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '480.2.k.b', 'target_level': 480, 'twist_class_label': '120.2.k.b', 'twist_class_level': 120, 'twisting_char_label': '40.k', 'twisting_char_orbit': 11, 'weight': 2}
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id: 408406
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 6, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '600.2.d.f', 'source_level': 600, 'target_char_orbit': 4, 'target_dim': 6, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '600.2.d.e', 'target_level': 600, 'twist_class_label': '120.2.k.b', 'twist_class_level': 120, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 408407
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 6, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '600.2.d.f', 'source_level': 600, 'target_char_orbit': 4, 'target_dim': 6, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '600.2.d.e', 'target_level': 600, 'twist_class_label': '120.2.k.b', 'twist_class_level': 120, 'twisting_char_label': '8.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 408408
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 4, 'source_dim': 6, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '600.2.d.f', 'source_level': 600, 'target_char_orbit': 4, 'target_dim': 6, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '600.2.d.f', 'target_level': 600, 'twist_class_label': '120.2.k.b', 'twist_class_level': 120, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 408409
{'conductor': 40, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 6, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '600.2.d.f', 'source_level': 600, 'target_char_orbit': 4, 'target_dim': 6, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '600.2.d.f', 'target_level': 600, 'twist_class_label': '120.2.k.b', 'twist_class_level': 120, 'twisting_char_label': '40.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 408410
{'conductor': 5, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 6, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '600.2.d.f', 'source_level': 600, 'target_char_orbit': 11, 'target_dim': 6, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '600.2.k.c', 'target_level': 600, 'twist_class_label': '120.2.k.b', 'twist_class_level': 120, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 408411
{'conductor': 40, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 6, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '600.2.d.f', 'source_level': 600, 'target_char_orbit': 11, 'target_dim': 6, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '600.2.k.c', 'target_level': 600, 'twist_class_label': '120.2.k.b', 'twist_class_level': 120, 'twisting_char_label': '40.i', 'twisting_char_orbit': 9, 'weight': 2}
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id: 408412
{'conductor': 60, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 6, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '600.2.d.f', 'source_level': 600, 'target_char_orbit': 11, 'target_dim': 6, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '1440.2.k.f', 'target_level': 1440, 'twist_class_label': '120.2.k.b', 'twist_class_level': 120, 'twisting_char_label': '60.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 408413
{'conductor': 120, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 6, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '600.2.d.f', 'source_level': 600, 'target_char_orbit': 11, 'target_dim': 6, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '1440.2.k.f', 'target_level': 1440, 'twist_class_label': '120.2.k.b', 'twist_class_level': 120, 'twisting_char_label': '120.q', 'twisting_char_orbit': 17, 'weight': 2}
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id: 408414
{'conductor': 15, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 6, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '600.2.d.f', 'source_level': 600, 'target_char_orbit': 4, 'target_dim': 6, 'target_hecke_orbit': 17, 'target_is_minimal': False, 'target_label': '1800.2.d.q', 'target_level': 1800, 'twist_class_label': '120.2.k.b', 'twist_class_level': 120, 'twisting_char_label': '15.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 408415
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 6, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '600.2.d.f', 'source_level': 600, 'target_char_orbit': 4, 'target_dim': 6, 'target_hecke_orbit': 17, 'target_is_minimal': False, 'target_label': '1800.2.d.q', 'target_level': 1800, 'twist_class_label': '120.2.k.b', 'twist_class_level': 120, 'twisting_char_label': '24.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 408416
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 6, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '600.2.d.f', 'source_level': 600, 'target_char_orbit': 4, 'target_dim': 6, 'target_hecke_orbit': 18, 'target_is_minimal': False, 'target_label': '1800.2.d.r', 'target_level': 1800, 'twist_class_label': '120.2.k.b', 'twist_class_level': 120, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 408417
{'conductor': 120, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 6, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '600.2.d.f', 'source_level': 600, 'target_char_orbit': 4, 'target_dim': 6, 'target_hecke_orbit': 18, 'target_is_minimal': False, 'target_label': '1800.2.d.r', 'target_level': 1800, 'twist_class_label': '120.2.k.b', 'twist_class_level': 120, 'twisting_char_label': '120.i', 'twisting_char_orbit': 9, 'weight': 2}
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id: 408418
{'conductor': 15, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 6, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '600.2.d.f', 'source_level': 600, 'target_char_orbit': 11, 'target_dim': 6, 'target_hecke_orbit': 16, 'target_is_minimal': False, 'target_label': '1800.2.k.p', 'target_level': 1800, 'twist_class_label': '120.2.k.b', 'twist_class_level': 120, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 408419
{'conductor': 120, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 6, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '600.2.d.f', 'source_level': 600, 'target_char_orbit': 11, 'target_dim': 6, 'target_hecke_orbit': 16, 'target_is_minimal': False, 'target_label': '1800.2.k.p', 'target_level': 1800, 'twist_class_label': '120.2.k.b', 'twist_class_level': 120, 'twisting_char_label': '120.w', 'twisting_char_orbit': 23, 'weight': 2}
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id: 408420
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 6, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '600.2.d.f', 'source_level': 600, 'target_char_orbit': 4, 'target_dim': 6, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '2400.2.d.e', 'target_level': 2400, 'twist_class_label': '120.2.k.b', 'twist_class_level': 120, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 408421
{'conductor': 40, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 6, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '600.2.d.f', 'source_level': 600, 'target_char_orbit': 4, 'target_dim': 6, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '2400.2.d.e', 'target_level': 2400, 'twist_class_label': '120.2.k.b', 'twist_class_level': 120, 'twisting_char_label': '40.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 408422
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 6, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '600.2.d.f', 'source_level': 600, 'target_char_orbit': 4, 'target_dim': 6, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '2400.2.d.f', 'target_level': 2400, 'twist_class_label': '120.2.k.b', 'twist_class_level': 120, 'twisting_char_label': '8.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 408423
{'conductor': 20, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 6, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '600.2.d.f', 'source_level': 600, 'target_char_orbit': 4, 'target_dim': 6, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '2400.2.d.f', 'target_level': 2400, 'twist_class_label': '120.2.k.b', 'twist_class_level': 120, 'twisting_char_label': '20.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 408424
{'conductor': 20, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 6, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '600.2.d.f', 'source_level': 600, 'target_char_orbit': 11, 'target_dim': 6, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '2400.2.k.c', 'target_level': 2400, 'twist_class_label': '120.2.k.b', 'twist_class_level': 120, 'twisting_char_label': '20.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 408425
{'conductor': 40, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 6, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '600.2.d.f', 'source_level': 600, 'target_char_orbit': 11, 'target_dim': 6, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '2400.2.k.c', 'target_level': 2400, 'twist_class_label': '120.2.k.b', 'twist_class_level': 120, 'twisting_char_label': '40.k', 'twisting_char_orbit': 11, 'weight': 2}
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id: 408426
{'conductor': 80, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 6, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '600.2.d.f', 'source_level': 600, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 41, 'target_is_minimal': False, 'target_label': '3840.2.a.bo', 'target_level': 3840, 'twist_class_label': '120.2.k.b', 'twist_class_level': 120, 'twisting_char_label': '80.j', 'twisting_char_orbit': 10, 'weight': 2}
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id: 408427
{'conductor': 80, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 6, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '600.2.d.f', 'source_level': 600, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 42, 'target_is_minimal': False, 'target_label': '3840.2.a.bp', 'target_level': 3840, 'twist_class_label': '120.2.k.b', 'twist_class_level': 120, 'twisting_char_label': '80.i', 'twisting_char_orbit': 9, 'weight': 2}
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id: 408428
{'conductor': 80, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 6, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '600.2.d.f', 'source_level': 600, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 43, 'target_is_minimal': False, 'target_label': '3840.2.a.bq', 'target_level': 3840, 'twist_class_label': '120.2.k.b', 'twist_class_level': 120, 'twisting_char_label': '80.t', 'twisting_char_orbit': 20, 'weight': 2}
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id: 408429
{'conductor': 80, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 6, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '600.2.d.f', 'source_level': 600, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 44, 'target_is_minimal': False, 'target_label': '3840.2.a.br', 'target_level': 3840, 'twist_class_label': '120.2.k.b', 'twist_class_level': 120, 'twisting_char_label': '80.s', 'twisting_char_orbit': 19, 'weight': 2}
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id: 408430
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 6, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '600.2.d.f', 'source_level': 600, 'target_char_orbit': 4, 'target_dim': 6, 'target_hecke_orbit': 17, 'target_is_minimal': False, 'target_label': '7200.2.d.q', 'target_level': 7200, 'twist_class_label': '120.2.k.b', 'twist_class_level': 120, 'twisting_char_label': '24.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 408431
{'conductor': 60, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 6, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '600.2.d.f', 'source_level': 600, 'target_char_orbit': 4, 'target_dim': 6, 'target_hecke_orbit': 17, 'target_is_minimal': False, 'target_label': '7200.2.d.q', 'target_level': 7200, 'twist_class_label': '120.2.k.b', 'twist_class_level': 120, 'twisting_char_label': '60.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 408432
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 6, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '600.2.d.f', 'source_level': 600, 'target_char_orbit': 4, 'target_dim': 6, 'target_hecke_orbit': 18, 'target_is_minimal': False, 'target_label': '7200.2.d.r', 'target_level': 7200, 'twist_class_label': '120.2.k.b', 'twist_class_level': 120, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 408433
{'conductor': 120, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 6, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '600.2.d.f', 'source_level': 600, 'target_char_orbit': 4, 'target_dim': 6, 'target_hecke_orbit': 18, 'target_is_minimal': False, 'target_label': '7200.2.d.r', 'target_level': 7200, 'twist_class_label': '120.2.k.b', 'twist_class_level': 120, 'twisting_char_label': '120.m', 'twisting_char_orbit': 13, 'weight': 2}
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id: 408434
{'conductor': 60, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 6, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '600.2.d.f', 'source_level': 600, 'target_char_orbit': 11, 'target_dim': 6, 'target_hecke_orbit': 16, 'target_is_minimal': False, 'target_label': '7200.2.k.p', 'target_level': 7200, 'twist_class_label': '120.2.k.b', 'twist_class_level': 120, 'twisting_char_label': '60.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 408435
{'conductor': 120, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 6, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '600.2.d.f', 'source_level': 600, 'target_char_orbit': 11, 'target_dim': 6, 'target_hecke_orbit': 16, 'target_is_minimal': False, 'target_label': '7200.2.k.p', 'target_level': 7200, 'twist_class_label': '120.2.k.b', 'twist_class_level': 120, 'twisting_char_label': '120.q', 'twisting_char_orbit': 17, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 1103300
{'charpoly_factorization': [[[8, 0, -2, 2, -1, 0, 1], 1]], 'hecke_orbit_code': 22518204328837720, 'p': 2}
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id: 1103301
{'charpoly_factorization': [[[-1, 1], 6]], 'hecke_orbit_code': 22518204328837720, 'p': 3}
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id: 1103302
{'charpoly_factorization': [[[0, 1], 6]], 'hecke_orbit_code': 22518204328837720, 'p': 5}
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id: 1103303
{'charpoly_factorization': [[[256, 0, 320, 0, 36, 0, 1], 1]], 'hecke_orbit_code': 22518204328837720, 'p': 7}
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id: 1103304
{'charpoly_factorization': [[[4096, 0, 1088, 0, 64, 0, 1], 1]], 'hecke_orbit_code': 22518204328837720, 'p': 11}
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id: 1103305
{'charpoly_factorization': [[[16, -28, 0, 1], 2]], 'hecke_orbit_code': 22518204328837720, 'p': 13}
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id: 1103306
{'charpoly_factorization': [[[1024, 0, 640, 0, 68, 0, 1], 1]], 'hecke_orbit_code': 22518204328837720, 'p': 17}
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id: 1103307
{'charpoly_factorization': [[[256, 0, 272, 0, 40, 0, 1], 1]], 'hecke_orbit_code': 22518204328837720, 'p': 19}
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id: 1103308
{'charpoly_factorization': [[[256, 0, 272, 0, 40, 0, 1], 1]], 'hecke_orbit_code': 22518204328837720, 'p': 23}
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id: 1103309
{'charpoly_factorization': [[[4, 0, 1], 3]], 'hecke_orbit_code': 22518204328837720, 'p': 29}
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id: 1103310
{'charpoly_factorization': [[[-64, -16, 6, 1], 2]], 'hecke_orbit_code': 22518204328837720, 'p': 31}
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id: 1103311
{'charpoly_factorization': [[[256, -60, -4, 1], 2]], 'hecke_orbit_code': 22518204328837720, 'p': 37}
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id: 1103312
{'charpoly_factorization': [[[-232, -36, 10, 1], 2]], 'hecke_orbit_code': 22518204328837720, 'p': 41}
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id: 1103313
{'charpoly_factorization': [[[-128, -64, 4, 1], 2]], 'hecke_orbit_code': 22518204328837720, 'p': 43}
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id: 1103314
{'charpoly_factorization': [[[246016, 0, 12432, 0, 200, 0, 1], 1]], 'hecke_orbit_code': 22518204328837720, 'p': 47}
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id: 1103315
{'charpoly_factorization': [[[-2, 1], 6]], 'hecke_orbit_code': 22518204328837720, 'p': 53}
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id: 1103316
{'charpoly_factorization': [[[1024, 0, 576, 0, 80, 0, 1], 1]], 'hecke_orbit_code': 22518204328837720, 'p': 59}
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id: 1103317
{'charpoly_factorization': [[[262144, 0, 17408, 0, 256, 0, 1], 1]], 'hecke_orbit_code': 22518204328837720, 'p': 61}
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id: 1103318
{'charpoly_factorization': [[[-4, 1], 6]], 'hecke_orbit_code': 22518204328837720, 'p': 67}
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id: 1103319
{'charpoly_factorization': [[[64, -112, 4, 1], 2]], 'hecke_orbit_code': 22518204328837720, 'p': 71}
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id: 1103320
{'charpoly_factorization': [[[36, 0, 1], 3]], 'hecke_orbit_code': 22518204328837720, 'p': 73}
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id: 1103321
{'charpoly_factorization': [[[64, 80, 18, 1], 2]], 'hecke_orbit_code': 22518204328837720, 'p': 79}
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id: 1103322
{'charpoly_factorization': [[[256, 16, -16, 1], 2]], 'hecke_orbit_code': 22518204328837720, 'p': 83}
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id: 1103323
{'charpoly_factorization': [[[184, -4, -14, 1], 2]], 'hecke_orbit_code': 22518204328837720, 'p': 89}
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id: 1103324
{'charpoly_factorization': [[[107584, 0, 11824, 0, 332, 0, 1], 1]], 'hecke_orbit_code': 22518204328837720, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 4, 'hecke_orbit': 6, 'label': '600.2.d.f', 'level': 600, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 171434000
{'hecke_orbit_code': 22518204328837720, 'n': 1, 'trace_an': 6}
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id: 171434001
{'hecke_orbit_code': 22518204328837720, 'n': 2, 'trace_an': 0}
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id: 171434002
{'hecke_orbit_code': 22518204328837720, 'n': 3, 'trace_an': 6}
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id: 171434003
{'hecke_orbit_code': 22518204328837720, 'n': 4, 'trace_an': 2}
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id: 171434004
{'hecke_orbit_code': 22518204328837720, 'n': 5, 'trace_an': 0}
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id: 171434005
{'hecke_orbit_code': 22518204328837720, 'n': 6, 'trace_an': 0}
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id: 171434006
{'hecke_orbit_code': 22518204328837720, 'n': 7, 'trace_an': 0}
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id: 171434007
{'hecke_orbit_code': 22518204328837720, 'n': 8, 'trace_an': -6}
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id: 171434008
{'hecke_orbit_code': 22518204328837720, 'n': 9, 'trace_an': 6}
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id: 171434009
{'hecke_orbit_code': 22518204328837720, 'n': 10, 'trace_an': 0}
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id: 171434010
{'hecke_orbit_code': 22518204328837720, 'n': 11, 'trace_an': 0}
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id: 171434011
{'hecke_orbit_code': 22518204328837720, 'n': 12, 'trace_an': 2}
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id: 171434012
{'hecke_orbit_code': 22518204328837720, 'n': 13, 'trace_an': 0}
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id: 171434013
{'hecke_orbit_code': 22518204328837720, 'n': 14, 'trace_an': 16}
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id: 171434014
{'hecke_orbit_code': 22518204328837720, 'n': 15, 'trace_an': 0}
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id: 171434015
{'hecke_orbit_code': 22518204328837720, 'n': 16, 'trace_an': 10}
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id: 171434016
{'hecke_orbit_code': 22518204328837720, 'n': 17, 'trace_an': 0}
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id: 171434017
{'hecke_orbit_code': 22518204328837720, 'n': 18, 'trace_an': 0}
-
id: 171434018
{'hecke_orbit_code': 22518204328837720, 'n': 19, 'trace_an': 0}
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id: 171434019
{'hecke_orbit_code': 22518204328837720, 'n': 20, 'trace_an': 0}
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id: 171434020
{'hecke_orbit_code': 22518204328837720, 'n': 21, 'trace_an': 0}
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id: 171434021
{'hecke_orbit_code': 22518204328837720, 'n': 22, 'trace_an': 12}
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id: 171434022
{'hecke_orbit_code': 22518204328837720, 'n': 23, 'trace_an': 0}
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id: 171434023
{'hecke_orbit_code': 22518204328837720, 'n': 24, 'trace_an': -6}
-
id: 171434024
{'hecke_orbit_code': 22518204328837720, 'n': 25, 'trace_an': 0}
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id: 171434025
{'hecke_orbit_code': 22518204328837720, 'n': 26, 'trace_an': 28}
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id: 171434026
{'hecke_orbit_code': 22518204328837720, 'n': 27, 'trace_an': 6}
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id: 171434027
{'hecke_orbit_code': 22518204328837720, 'n': 28, 'trace_an': 20}
-
id: 171434028
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