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mf_newforms • Show schema
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{'Nk2': 2500, 'analytic_conductor': 4.990650126330024, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 25, 'char_degree': 4, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 5, 'char_orbit_label': 'e', 'char_order': 10, 'char_parity': 1, 'char_values': [625, 10, [2], [1]], 'cm_discs': [], 'conrey_index': 124, 'conrey_indexes': [124, 249, 374, 499], 'dim': 8, 'field_disc': 58140625, 'field_disc_factorization': [[5, 6], [61, 2]], 'field_poly': [25, -25, -10, 5, 11, -7, 4, -3, 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, 5, 21, -40, 11, 10, -4, 0, 1]], [3, [16, -40, 64, 20, -39, 5, 9, -5, 1]]], 'hecke_orbit': 9, 'hecke_orbit_code': 36029071930425969, 'hecke_ring_generator_nbound': 3, '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, 25, 5, 1, 10, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '625.2.e.i', 'level': 625, 'level_is_prime': False, 'level_is_prime_power': True, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [5], 'level_radical': 5, 'minimal_twist': '25.2.e.a', 'nf_label': '8.0.58140625.2', 'prim_orbit_index': 5, 'qexp_display': 'q+(-\\beta _{4}-\\beta _{5})q^{2}+(1-\\beta _{1}-\\beta _{2}-\\beta _{5}+\\cdots)q^{3}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c10', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '625.2.e', 'trace_display': [0, 5, 0, 0], 'trace_hash': 1768887224159268825, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '7.858', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '193.017', 'prec': 24}, {'__RealLiteral__': 0, 'data': '24.436', 'prec': 20}, {'__RealLiteral__': 0, 'data': '7167.543', 'prec': 27}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.115', 'prec': 17}, 'traces': [8, 0, 5, 4, 0, 6, 0, -10, 1, 0, -4, -10, 5, -7, 0, -2, -15, 0, 10, 0, 1, -10, -15, -20, 0, 6, 5, 20, 15, 0, 1, 0, -10, -12, 0, -17, 5, 0, 12, 0, -9, -5, 0, 8, 0, 16, 15, 5, 14, 0, -4, 20, -35, -10, 0, -15, 0, 20, 15, 0, 6, -45, 20, -26, 0, -18, 0, 0, -13, 0, -29, -5, -10, -12, 0, -20, -20, 25, -10, 0, -12, 0, -15, -27, 0, 16, 55, -20, 40, 0, 1, 5, 0, -7, 0, 11, 10, 40, -8, 0, 26, -30, -20, -5, 0, 36, 0, 45, 35, 0, 21, 15, -65, -10, 0, 45, 20, 0, -2, 0, 14, -40, 10, 78, 0, -44, 30, -25, -38, 0, -9, 0, 5, 8, 0, 10, -10, 25, -25, 0, 46, 65, 0, -9, 0, -4, 55, 30, -30, 0, 6, -35, -15, 26, 0, 16, 0, -35, -13, 0, 6, 70, 55, 43, 0, -19, 20, 0, -29, 0, -30, 15, -55, 70, 0, -4, 25, 45, -5, 0, -19, 0, 35, 15, 0, -23, 20, -5, -20, 0, -14, -5, 0, -32, 0, -33, -50, -50, -70, 0, -24, -5, -15, 28, 0, -69, 0, 25, 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mf_hecke_nf • Show schema
Hide schema
{'an': [[1, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, -1, -1, 0, 0], [1, -1, -1, 0, 0, -1, 0, 0], [0, 1, 1, 0, 0, 1, 1, 1], [0, 0, 0, 0, 0, 0, 0, 0], [1, 0, -1, 0, -2, -1, 1, 0], [1, 0, -2, 0, -1, 0, -1, 0], [-2, 0, 0, -2, 1, 0, 0, 0], [0, -1, 0, -1, 0, 0, 1, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, -2, 0, 0, 0, 0, 0], [0, 1, -2, 1, -2, 1, 0, 1], [1, -1, 0, 0, 1, 0, -1, 0], [-1, 0, 1, 1, -2, 0, 2, -1], [0, 0, 0, 0, 0, 0, 0, 0], [0, -1, 0, 0, 0, -1, 0, 1], [0, -1, -3, 2, -1, 0, 0, 0], [-1, 1, -1, -3, 1, 0, 0, 1], [1, 0, -1, 0, 0, -1, 1, 0], [0, 0, 0, 0, 0, 0, 0, 0], [-2, 2, 3, -1, 1, 0, 1, 1], [-2, 0, 0, 0, 0, 0, 2, -2], [-3, 0, 1, -1, 2, 0, 0, -1], [-4, 1, 3, -3, 1, 2, 0, 1], [0, 0, 0, 0, 0, 0, 0, 0], [1, -2, 1, -1, -1, -2, -1, 0], [1, 0, -1, -1, 0, 2, 0, -1], [1, 3, 0, -3, 3, 3, -1, 1], [6, -3, -5, 5, -2, -1, -2, -2], [0, 0, 0, 0, 0, 0, 0, 0], [2, 1, -1, 0, -1, 3, -3, 2], [2, 1, -1, 3, -6, 0, 1, 1], [-4, 2, 2, -4, 2, 2, 2, 0], [-3, 1, 0, -2, 3, 1, 0, -1], [0, 0, 0, 0, 0, 0, 0, 0], [-1, 0, 0, 3, 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[-3, 14, -5, -11, -5, 0, -3, 14], [-4, 16, 1, -1, 5, 8, -8, 12], [-18, -6, 12, 0, 0, -4, 4, -12], [-30, 0, 19, -15, 7, -8, 0, 8], [-30, 4, 16, -8, -14, -2, 6, -2], [8, -10, -16, 1, 6, -10, 1, -1], [-1, -14, 0, 3, 1, -4, 10, 4], [7, -8, -23, 37, -34, -4, -6, -1], [-12, 14, 13, -11, -1, 12, 13, 13], [20, 0, -12, 8, -16, -4, 0, -4], [-11, 0, 10, -15, -3, 1, 0, 9], [23, -3, -18, 22, -15, -1, -2, -2], [11, -18, 6, 13, -11, -9, -4, -7], [1, -3, -13, 1, 10, -3, 1, -1], [9, -1, 9, 27, -14, 0, -3, -1], [-8, 7, 0, -16, 8, 14, 7, -14], [-26, 26, 34, -17, 8, 13, 13, 13], [-5, 0, -7, -4, -2, -3, 0, -19], [22, -4, -26, 0, -6, -2, 2, -8], [-4, 12, -20, 28, -14, -2, -2, 0], [32, -8, -28, 14, 4, 0, -8, 0], [12, -23, -35, -11, 1, 0, -2, -23], [13, -12, -7, 15, -8, -6, -14, 1], [3, 0, -3, 0, 4, -11, 11, 0], [9, 6, 4, 9, -2, 6, 6, 6], [3, -1, -18, 9, -15, 8, -9, 8], [-11, -6, 0, -8, 11, -3, 3, 3], [-4, -14, -14, 0, 0, -14, 18, -18], [-23, 18, 10, -3, 8, 18, 8, -8], [22, -14, -20, 28, -14, -6, -6, 0], [17, -15, -14, 17, 1, -15, -15, -15], [8, 0, -4, 27, -2, -21, 0, 0], [-11, 4, 25, -32, 16, 7, 7, 0], [26, -5, 0, 30, -26, -10, -5, 10], [11, 13, 23, -16, -10, 13, -8, 8]], 'char_orbit_index': 5, 'field_poly': [25, -25, -10, 5, 11, -7, 4, -3, 1], 'hecke_orbit_code': 36029071930425969, 'hecke_ring_character_values': [[2, [1, 0, -1, 1, -1, 0, 0, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 1355, 1355, 1355, 1355, 1355, 1355], 'hecke_ring_inverse_denominators': [1, 1, 1, 1, 1, 1, 1, 1], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0], [0, 0, 1, 1, -1, -1, 0, -1], [3, 1, 1, 4, -3, 1, 0, 1], [2, 4, 2, 2, 2, 4, -5, 5], [-13, 4, 11, -7, 0, 0, -6, 4], [-21, -2, 21, -7, -8, 7, 7, 0], [0, 0, 12, -23, 23, 38, 0, 23]], 'hecke_ring_numerators': [[1, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0], [-7800, 1065, 4949, 2103, -1896, 747, -714, 406], [-10265, 1055, 5129, 2297, -1924, 698, -776, 420], [-15715, 2190, 8547, 3584, -3353, 1246, -1327, 728], [18200, -2485, -9470, -4907, 4424, -1743, 1666, -857], [-18960, 3235, 9520, 4991, -4492, 1624, -1623, 891], [-20550, 2415, 9646, 5723, -4891, 1942, -1829, 955]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 8, 'label': '625.2.e.i', 'level': 625, 'maxp': 997, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 2500, 'analytic_conductor': 4.990650126330024, 'char_conductor': 25, 'char_degree': 4, 'char_is_real': False, 'char_orbit_index': 5, 'char_orbit_label': 'e', 'char_order': 10, 'char_parity': 1, 'char_values': [625, 10, [2], [1]], 'conrey_index': 124, 'cusp_dim': 192, 'dim': 136, 'eis_dim': 120, 'eis_new_dim': 48, 'hecke_cutter_primes': [2, 3], 'hecke_orbit_code': 274911462001, 'hecke_orbit_dims': [8, 8, 8, 8, 8, 8, 8, 8, 8, 32, 32], 'label': '625.2.e', 'level': 625, 'level_is_prime': False, 'level_is_prime_power': True, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [5], 'level_radical': 5, 'mf_dim': 312, 'mf_new_dim': 184, 'num_forms': 11, 'prim_orbit_index': 5, 'relative_dim': 34, 'sturm_bound': 125, 'trace_bound': 9, 'trace_display': [0, 0, 0, 0], 'traces': [136, 0, 0, 28, 0, 12, 0, 0, 22, 0, 12, 0, 0, -24, 0, -4, 0, 0, 0, 0, 12, 0, 0, 40, 0, -68, 0, 0, 20, 0, 12, 0, 0, -14, 0, -24, 0, 0, 24, 0, -8, 0, 0, 16, 0, 12, 0, 0, 8, 0, -48, 0, 0, -60, 0, -20, 0, 0, 0, 0, -8, 0, 0, -32, 0, -36, 0, 0, -36, 0, -28, 0, 0, 36, 0, -80, 0, 0, 0, 0, -14, 0, 0, -104, 0, 12, 0, 0, 10, 0, 12, 0, 0, 106, 0, -78, 0, 0, 64, 0, -108, 0, 0, -50, 0, -48, 0, 0, 60, 0, 72, 0, 0, 90, 0, 150, 0, 0, -44, 0, 98, 0, 0, -344, 0, 192, 0, 0, 54, 0, 72, 0, 0, 106, 0, -20, 0, 0, -60, 0, -18, 0, 0, -88, 0, 42, 0, 0, 100, 0, -128, 0, 0, -28, 0, 52, 0, 0, -116, 0, -118, 0, 0, 36, 0, -158, 0, 0, -18, 0, -60, 0, 0, -320, 0, -168, 0, 0, -60, 0, -48, 0, 0, 170, 0, 4, 0, 0, 30, 0, -28, 0, 0, -144, 0, -16, 0, 0, 80, 0, -88, 0, 0, 126, 0, -198, 0, 0, -60, 0, 12, 0, 0, -24, 0, 120, 0, 0, 114, 0, -108, 0, 0, 536, 0, 212, 0, 0, -110, 0, -46, 0, 0, -76, 0, 160, 0, 0, 90, 0, 162, 0, 0, 86, 0, 114, 0, 0, -336, 0, 232, 0, 0, 66, 0, 276, 0, 0, 6, 0, 0, 0, 0, -240, 0, -10, 0, 0, 0, 0, 132, 0, 0, 276, 0, 72, 0, 0, 64, 0, 42, 0, 0, -104, 0, -106, 0, 0, 38, 0, -238, 0, 0, 126, 0, 0, 0, 0, -256, 0, -88, 0, 0, -50, 0, 92, 0, 0, 94, 0, -148, 0, 0, 36, 0, -100, 0, 0, -40, 0, -158, 0, 0, 568, 0, -168, 0, 0, 46, 0, -158, 0, 0, -134, 0, 92, 0, 0, -136, 0, -16, 0, 0, 100, 0, -148, 0, 0, 100, 0, 80, 0, 0, -140, 0, -20, 0, 0, 100, 0, 206, 0, 0, 176, 0, 114, 0, 0, -6, 0, 102, 0, 0, -568, 0, 360, 0, 0, 180, 0, 102, 0, 0, 80, 0, 52, 0, 0, -120, 0, -88, 0, 0, -44, 0, 312, 0, 0, 640, 0, 172, 0, 0, -64, 0, 20, 0, 0, -130, 0, -228, 0, 0, 34, 0, -68, 0, 0, 250, 0, -88, 0, 0, -580, 0, -256, 0, 0, 38, 0, -148, 0, 0, 232, 0, -250, 0, 0, 60, 0, 86, 0, 0, -364, 0, -358, 0, 0, -180, 0, -216, 0, 0, 316, 0, -180, 0, 0, 10, 0, 62, 0, 0, -50, 0, 172, 0, 0, -154, 0, 162, 0, 0, 40, 0, 368, 0, 0, -120, 0, 192, 0, 0, -156, 0, 342, 0, 0, -6, 0, 162, 0, 0, -180, 0, 52, 0, 0, 320, 0, 832, 0, 0, 70, 0, 134, 0, 0, 240, 0, 242, 0, 0, -134, 0, 2, 0, 0, -36, 0, 222, 0, 0, 376, 0, 512, 0, 0, -58, 0, 320, 0, 0, 20, 0, -310, 0, 0, 106, 0, 12, 0, 0, 36, 0, 224, 0, 0, -956, 0, -320, 0, 0, -244, 0, -270, 0, 0, -146, 0, -106, 0, 0, 126, 0, -278, 0, 0, 20, 0, -248, 0, 0, 272, 0, -1024, 0, 0, 14, 0, -278, 0, 0, 20, 0, 2, 0, 0, -160, 0, 52, 0, 0, 360, 0, -250, 0, 0, -120, 0, -588, 0, 0, -184, 0, -196, 0, 0, 30, 0, 42, 0, 0, 456, 0, 40, 0, 0, -120, 0, -190, 0, 0, -976, 0, -1128, 0, 0, -104, 0, 12, 0, 0, -254, 0, -108, 0, 0, 94, 0, 162, 0, 0, 146, 0, 10, 0, 0, 360, 0, -736, 0, 0, -150, 0, 262, 0, 0, -280, 0, 162, 0, 0, 60, 0, -378, 0, 0, 394, 0, 44, 0, 0, 776, 0, -804, 0, 0, -194, 0, -318, 0, 0, 260, 0, -240, 0, 0, -256, 0, -198, 0, 0, -214, 0, -290, 0, 0, -376, 0, 212, 0, 0, 336, 0, 82, 0, 0, -150, 0, 60, 0, 0, -328, 0, 320, 0, 0, 70, 0, -78, 0, 0, -244, 0, 936, 0, 0, -398, 0, 122, 0, 0, 46, 0, 152, 0, 0, 170, 0, 290, 0, 0, -70, 0, 642, 0, 0, 96, 0, 472, 0, 0, 130, 0, 210, 0, 0, 88, 0, 142, 0, 0, -284, 0, 112, 0, 0, -470, 0, 242, 0, 0, 1544, 0, 1060, 0, 0, 210, 0, 84, 0, 0, -172, 0, -76, 0, 0, 354, 0, -78, 0, 0, -74, 0, -30, 0, 0, -424, 0, 20, 0, 0, 76, 0, -96, 0, 0, 140, 0, -158, 0, 0, 92, 0, -88, 0, 0, -186, 0, 22, 0, 0, -480, 0, -200, 0, 0, 120, 0, -188, 0, 0, -100, 0, 380, 0, 0, -160, 0, 126, 0, 0, 356, 0, -348, 0, 0, 664, 0, -8, 0, 0, 142, 0, -260, 0, 0, 160, 0, -126, 0, 0, 100, 0, -128, 0, 0, -150, 0, -68, 0, 0, -1040, 0, 592, 0, 0, 164, 0, 302, 0, 0, 206, 0, -268, 0, 0, -94, 0, -148, 0, 0, 20, 0, 160, 0, 0, 280, 0, -88, 0, 0, 40, 0, 74, 0, 0, -196, 0, -348, 0, 0, -314, 0, -360, 0, 0, 300, 0, -138, 0, 0, -328, 0, -248, 0, 0, -70, 0, 210, 0, 0, 576, 0, -80, 0, 0, 64, 0, -288, 0, 0, -80, 0, -76, 0, 0, 1084, 0, 312, 0, 0, 334, 0, -360, 0, 0, -14, 0, 398, 0, 0, -104, 0, 334, 0, 0, 0, 0, 32, 0, 0, -904, 0, 772, 0, 0, -270, 0, 150, 0, 0, -110, 0, 330, 0, 0, -76, 0, 322, 0, 0, 272, 0, -28, 0, 0, -320, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 421212
{'conductor': 25, 'degree': 4, 'multiplicity': 1, 'order': 5, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 8, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '625.2.e.i', 'source_level': 625, 'target_char_orbit': 5, 'target_dim': 8, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '25.2.e.a', 'target_level': 25, 'twist_class_label': '25.2.e.a', 'twist_class_level': 25, 'twisting_char_label': '25.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 421213
{'conductor': 25, 'degree': 4, 'multiplicity': 1, 'order': 10, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 8, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '625.2.e.i', 'source_level': 625, 'target_char_orbit': 5, 'target_dim': 8, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '25.2.e.a', 'target_level': 25, 'twist_class_label': '25.2.e.a', 'twist_class_level': 25, 'twisting_char_label': '25.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 421214
{'conductor': 25, 'degree': 8, 'multiplicity': 4, 'order': 20, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 8, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '625.2.e.i', 'source_level': 625, 'target_char_orbit': 4, 'target_dim': 16, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '125.2.d.b', 'target_level': 125, 'twist_class_label': '25.2.e.a', 'twist_class_level': 25, 'twisting_char_label': '25.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 421215
{'conductor': 25, 'degree': 4, 'multiplicity': 1, 'order': 5, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 8, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '625.2.e.i', 'source_level': 625, 'target_char_orbit': 5, 'target_dim': 8, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '125.2.e.b', 'target_level': 125, 'twist_class_label': '25.2.e.a', 'twist_class_level': 25, 'twisting_char_label': '25.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 421216
{'conductor': 25, 'degree': 4, 'multiplicity': 1, 'order': 10, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 8, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '625.2.e.i', 'source_level': 625, 'target_char_orbit': 5, 'target_dim': 8, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '125.2.e.b', 'target_level': 125, 'twist_class_label': '25.2.e.a', 'twist_class_level': 25, 'twisting_char_label': '25.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 421217
{'conductor': 75, 'degree': 4, 'multiplicity': 1, 'order': 10, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 8, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '625.2.e.i', 'source_level': 625, 'target_char_orbit': 13, 'target_dim': 8, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '225.2.m.a', 'target_level': 225, 'twist_class_label': '25.2.e.a', 'twist_class_level': 25, 'twisting_char_label': '75.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 421218
{'conductor': 75, 'degree': 4, 'multiplicity': 1, 'order': 10, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 8, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '625.2.e.i', 'source_level': 625, 'target_char_orbit': 13, 'target_dim': 8, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '225.2.m.a', 'target_level': 225, 'twist_class_label': '25.2.e.a', 'twist_class_level': 25, 'twisting_char_label': '75.j', 'twisting_char_orbit': 10, 'weight': 2}
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id: 421219
{'conductor': 100, 'degree': 4, 'multiplicity': 1, 'order': 10, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 8, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '625.2.e.i', 'source_level': 625, 'target_char_orbit': 25, 'target_dim': 8, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '400.2.y.c', 'target_level': 400, 'twist_class_label': '25.2.e.a', 'twist_class_level': 25, 'twisting_char_label': '100.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 421220
{'conductor': 100, 'degree': 4, 'multiplicity': 1, 'order': 10, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 8, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '625.2.e.i', 'source_level': 625, 'target_char_orbit': 25, 'target_dim': 8, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '400.2.y.c', 'target_level': 400, 'twist_class_label': '25.2.e.a', 'twist_class_level': 25, 'twisting_char_label': '100.j', 'twisting_char_orbit': 10, 'weight': 2}
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id: 421221
{'conductor': 25, 'degree': 8, 'multiplicity': 2, 'order': 20, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 8, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '625.2.e.i', 'source_level': 625, 'target_char_orbit': 1, 'target_dim': 8, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '625.2.a.f', 'target_level': 625, 'twist_class_label': '25.2.e.a', 'twist_class_level': 25, 'twisting_char_label': '25.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 421222
{'conductor': 25, 'degree': 4, 'multiplicity': 1, 'order': 5, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 8, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '625.2.e.i', 'source_level': 625, 'target_char_orbit': 2, 'target_dim': 8, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '625.2.b.c', 'target_level': 625, 'twist_class_label': '25.2.e.a', 'twist_class_level': 25, 'twisting_char_label': '25.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 421223
{'conductor': 25, 'degree': 4, 'multiplicity': 1, 'order': 10, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 8, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '625.2.e.i', 'source_level': 625, 'target_char_orbit': 2, 'target_dim': 8, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '625.2.b.c', 'target_level': 625, 'twist_class_label': '25.2.e.a', 'twist_class_level': 25, 'twisting_char_label': '25.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 421224
{'conductor': 5, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 8, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '625.2.e.i', 'source_level': 625, 'target_char_orbit': 4, 'target_dim': 16, 'target_hecke_orbit': 15, 'target_is_minimal': False, 'target_label': '625.2.d.o', 'target_level': 625, 'twist_class_label': '25.2.e.a', 'twist_class_level': 25, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 421225
{'conductor': 25, 'degree': 8, 'multiplicity': 2, 'order': 20, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 8, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '625.2.e.i', 'source_level': 625, 'target_char_orbit': 4, 'target_dim': 16, 'target_hecke_orbit': 15, 'target_is_minimal': False, 'target_label': '625.2.d.o', 'target_level': 625, 'twist_class_label': '25.2.e.a', 'twist_class_level': 25, 'twisting_char_label': '25.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 421226
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 8, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '625.2.e.i', 'source_level': 625, 'target_char_orbit': 5, 'target_dim': 8, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '625.2.e.a', 'target_level': 625, 'twist_class_label': '25.2.e.a', 'twist_class_level': 25, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 421227
{'conductor': 25, 'degree': 4, 'multiplicity': 1, 'order': 5, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 8, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '625.2.e.i', 'source_level': 625, 'target_char_orbit': 5, 'target_dim': 8, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '625.2.e.a', 'target_level': 625, 'twist_class_label': '25.2.e.a', 'twist_class_level': 25, 'twisting_char_label': '25.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 421228
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 5, 'source_dim': 8, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '625.2.e.i', 'source_level': 625, 'target_char_orbit': 5, 'target_dim': 8, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '625.2.e.i', 'target_level': 625, 'twist_class_label': '25.2.e.a', 'twist_class_level': 25, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 421229
{'conductor': 25, 'degree': 4, 'multiplicity': 1, 'order': 10, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 8, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '625.2.e.i', 'source_level': 625, 'target_char_orbit': 5, 'target_dim': 8, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '625.2.e.i', 'target_level': 625, 'twist_class_label': '25.2.e.a', 'twist_class_level': 25, 'twisting_char_label': '25.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 421230
{'conductor': 75, 'degree': 8, 'multiplicity': 2, 'order': 20, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 8, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '625.2.e.i', 'source_level': 625, 'target_char_orbit': 1, 'target_dim': 8, 'target_hecke_orbit': 24, 'target_is_minimal': False, 'target_label': '5625.2.a.x', 'target_level': 5625, 'twist_class_label': '25.2.e.a', 'twist_class_level': 25, 'twisting_char_label': '75.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 421231
{'conductor': 100, 'degree': 8, 'multiplicity': 2, 'order': 20, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 8, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '625.2.e.i', 'source_level': 625, 'target_char_orbit': 1, 'target_dim': 8, 'target_hecke_orbit': 36, 'target_is_minimal': False, 'target_label': '10000.2.a.bj', 'target_level': 10000, 'twist_class_label': '25.2.e.a', 'twist_class_level': 25, 'twisting_char_label': '100.l', 'twisting_char_orbit': 12, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 1136925
{'charpoly_factorization': [[[1, 5, 21, -40, 11, 10, -4, 0, 1], 1]], 'hecke_orbit_code': 36029071930425969, 'p': 2}
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id: 1136926
{'charpoly_factorization': [[[16, -40, 64, 20, -39, 5, 9, -5, 1], 1]], 'hecke_orbit_code': 36029071930425969, 'p': 3}
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id: 1136927
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 36029071930425969, 'p': 5}
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id: 1136928
{'charpoly_factorization': [[[16, 0, 116, 0, 121, 0, 21, 0, 1], 1]], 'hecke_orbit_code': 36029071930425969, 'p': 7}
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id: 1136929
{'charpoly_factorization': [[[16, 8, 4, 2, 1], 2]], 'hecke_orbit_code': 36029071930425969, 'p': 11}
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id: 1136930
{'charpoly_factorization': [[[1, 5, 14, 5, -19, -5, 14, -5, 1], 1]], 'hecke_orbit_code': 36029071930425969, 'p': 13}
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id: 1136931
{'charpoly_factorization': [[[1936, 2200, 1416, 580, 341, 230, 86, 15, 1], 1]], 'hecke_orbit_code': 36029071930425969, 'p': 17}
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id: 1136932
{'charpoly_factorization': [[[400, -800, 800, -450, 335, -135, 50, -10, 1], 1]], 'hecke_orbit_code': 36029071930425969, 'p': 19}
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id: 1136933
{'charpoly_factorization': [[[256, 960, 1744, 1860, 1201, 465, 109, 15, 1], 1]], 'hecke_orbit_code': 36029071930425969, 'p': 23}
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id: 1136934
{'charpoly_factorization': [[[483025, -344025, 132750, -33775, 6885, -1105, 150, -15, 1], 1]], 'hecke_orbit_code': 36029071930425969, 'p': 29}
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id: 1136935
{'charpoly_factorization': [[[1936, -9064, 105252, -16322, 2255, 67, -3, -1, 1], 1]], 'hecke_orbit_code': 36029071930425969, 'p': 31}
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id: 1136936
{'charpoly_factorization': [[[116281, -20460, 116, -8530, 3631, -380, 1, -5, 1], 1]], 'hecke_orbit_code': 36029071930425969, 'p': 37}
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id: 1136937
{'charpoly_factorization': [[[13456, -15544, 8332, -1222, 3805, 382, 62, 9, 1], 1]], 'hecke_orbit_code': 36029071930425969, 'p': 41}
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id: 1136938
{'charpoly_factorization': [[[246016, 0, 56784, 0, 4421, 0, 129, 0, 1], 1]], 'hecke_orbit_code': 36029071930425969, 'p': 43}
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id: 1136939
{'charpoly_factorization': [[[65536, 61440, 38656, -1200, -939, 450, 26, -15, 1], 1]], 'hecke_orbit_code': 36029071930425969, 'p': 47}
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id: 1136940
{'charpoly_factorization': [[[8755681, 3314080, 530284, 92710, 25131, 4840, 549, 35, 1], 1]], 'hecke_orbit_code': 36029071930425969, 'p': 53}
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id: 1136941
{'charpoly_factorization': [[[4080400, -2605800, 851400, -172200, 24985, -2610, 220, -15, 1], 1]], 'hecke_orbit_code': 36029071930425969, 'p': 59}
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id: 1136942
{'charpoly_factorization': [[[116281, 140151, 38437, -51672, 17305, -318, 252, -6, 1], 1]], 'hecke_orbit_code': 36029071930425969, 'p': 61}
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id: 1136943
{'charpoly_factorization': [[[246016, 79360, -24384, 3520, 4976, -880, -4, 0, 1], 1]], 'hecke_orbit_code': 36029071930425969, 'p': 67}
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id: 1136944
{'charpoly_factorization': [[[24245776, 9818456, 2542392, 427928, 54105, 5172, 462, 29, 1], 1]], 'hecke_orbit_code': 36029071930425969, 'p': 71}
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id: 1136945
{'charpoly_factorization': [[[1, -5, -1, 30, 1, -30, 74, 10, 1], 1]], 'hecke_orbit_code': 36029071930425969, 'p': 73}
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id: 1136946
{'charpoly_factorization': [[[33408400, -4913000, 433500, 36550, 7935, 375, 270, 10, 1], 1]], 'hecke_orbit_code': 36029071930425969, 'p': 79}
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id: 1136947
{'charpoly_factorization': [[[99856, -9480, 7024, 74940, 36361, 1185, -11, 15, 1], 1]], 'hecke_orbit_code': 36029071930425969, 'p': 83}
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id: 1136948
{'charpoly_factorization': [[[1392400, -1014800, 629000, -206550, 48335, -7485, 740, -40, 1], 1]], 'hecke_orbit_code': 36029071930425969, 'p': 89}
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id: 1136949
{'charpoly_factorization': [[[301334881, -110403240, 15337196, -795650, -28154, 6200, -119, -10, 1], 1]], 'hecke_orbit_code': 36029071930425969, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 5, 'hecke_orbit': 9, 'label': '625.2.e.i', 'level': 625, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
-
id: 201653000
{'hecke_orbit_code': 36029071930425969, 'n': 1, 'trace_an': 8}
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id: 201653001
{'hecke_orbit_code': 36029071930425969, 'n': 2, 'trace_an': 0}
-
id: 201653002
{'hecke_orbit_code': 36029071930425969, 'n': 3, 'trace_an': 5}
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id: 201653003
{'hecke_orbit_code': 36029071930425969, 'n': 4, 'trace_an': 4}
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id: 201653004
{'hecke_orbit_code': 36029071930425969, 'n': 5, 'trace_an': 0}
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id: 201653005
{'hecke_orbit_code': 36029071930425969, 'n': 6, 'trace_an': 6}
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id: 201653006
{'hecke_orbit_code': 36029071930425969, 'n': 7, 'trace_an': 0}
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id: 201653007
{'hecke_orbit_code': 36029071930425969, 'n': 8, 'trace_an': -10}
-
id: 201653008
{'hecke_orbit_code': 36029071930425969, 'n': 9, 'trace_an': 1}
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id: 201653009
{'hecke_orbit_code': 36029071930425969, 'n': 10, 'trace_an': 0}
-
id: 201653010
{'hecke_orbit_code': 36029071930425969, 'n': 11, 'trace_an': -4}
-
id: 201653011
{'hecke_orbit_code': 36029071930425969, 'n': 12, 'trace_an': -10}
-
id: 201653012
{'hecke_orbit_code': 36029071930425969, 'n': 13, 'trace_an': 5}
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id: 201653013
{'hecke_orbit_code': 36029071930425969, 'n': 14, 'trace_an': -7}
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id: 201653014
{'hecke_orbit_code': 36029071930425969, 'n': 15, 'trace_an': 0}
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id: 201653015
{'hecke_orbit_code': 36029071930425969, 'n': 16, 'trace_an': -2}
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id: 201653016
{'hecke_orbit_code': 36029071930425969, 'n': 17, 'trace_an': -15}
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id: 201653017
{'hecke_orbit_code': 36029071930425969, 'n': 18, 'trace_an': 0}
-
id: 201653018
{'hecke_orbit_code': 36029071930425969, 'n': 19, 'trace_an': 10}
-
id: 201653019
{'hecke_orbit_code': 36029071930425969, 'n': 20, 'trace_an': 0}
-
id: 201653020
{'hecke_orbit_code': 36029071930425969, 'n': 21, 'trace_an': 1}
-
id: 201653021
{'hecke_orbit_code': 36029071930425969, 'n': 22, 'trace_an': -10}
-
id: 201653022
{'hecke_orbit_code': 36029071930425969, 'n': 23, 'trace_an': -15}
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id: 201653023
{'hecke_orbit_code': 36029071930425969, 'n': 24, 'trace_an': -20}
-
id: 201653024
{'hecke_orbit_code': 36029071930425969, 'n': 25, 'trace_an': 0}
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id: 201653025
{'hecke_orbit_code': 36029071930425969, 'n': 26, 'trace_an': 6}
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