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mf_newforms • Show schema
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{'Nk2': 468, 'analytic_conductor': 0.9342497036489805, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 117, 'char_degree': 2, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 20, 'char_orbit_label': 't', 'char_order': 6, 'char_parity': 1, 'char_values': [117, 6, [92, 28], [4, 3]], 'cm_discs': [], 'conrey_index': 25, 'dim': 20, 'field_disc': 4636374896924430311560043298816, 'field_disc_factorization': [[2, 20], [3, 12], [43, 4], [1249, 4]], 'field_poly': [59049, 0, 0, 0, -4374, 0, 729, 0, 486, 0, 81, 0, 54, 0, 9, 0, -6, 0, 0, 0, 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, [6561, 0, -18468, 0, 34002, 0, -35874, 0, 27240, 0, -12987, 0, 4501, 0, -1012, 0, 165, 0, -16, 0, 1]], [5, [6561, 0, -19683, 0, 38394, 0, -43821, 0, 36270, 0, -19407, 0, 7456, 0, -1618, 0, 249, 0, -19, 0, 1]]], 'hecke_orbit': 3, 'hecke_orbit_code': 9008504958353525, 'hecke_ring_generator_nbound': 5, 'hecke_ring_index': 729, 'hecke_ring_index_factorization': [[3, 6]], 'hecke_ring_index_proved': True, 'inner_twist_count': 4, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 9, 3, 1, 3, 0], [1, 1, 13, 2, 1, 2, 0], [1, 1, 117, 20, 1, 6, 0]], 'is_cm': False, 'is_largest': True, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '117.2.t.c', 'level': 117, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 13], 'level_radical': 39, 'minimal_twist': '117.2.t.c', 'prim_orbit_index': 20, 'qexp_display': 'q-\\beta _{17}q^{2}+\\beta _{10}q^{3}+(1-\\beta _{6}+\\beta _{11}+\\cdots)q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 10, 'rm_discs': [], 'sato_tate_group': '1.2.3.c6', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '117.2.t', 'trace_display': [0, 2, 0, 0], 'trace_hash': 2236262282188766273, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.064', 'prec': 17}, {'__RealLiteral__': 0, 'data': '17.573', 'prec': 20}, {'__RealLiteral__': 0, 'data': '7.558', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2931.095', 'prec': 27}, {'__RealLiteral__': 0, 'data': '5131.983', 'prec': 27}, {'__RealLiteral__': 0, 'data': '875581.375', 'prec': 34}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.512', 'prec': 17}, 'traces': [20, 0, 2, 12, 0, 0, 0, 0, -2, -16, 0, -2, -4, -18, 0, 4, -12, 0, 0, 0, 0, -10, 24, 0, -12, -12, -22, 0, 12, -54, 0, 0, 0, 0, -12, 50, 0, 12, -8, -8, 0, 6, 4, 0, 0, 0, 0, 38, -10, 0, -78, 0, 108, 0, 20, 36, 0, 0, 0, 0, -2, -72, 0, 8, -24, 78, 0, 24, 72, 0, 0, 0, 0, -42, -8, 0, -6, 66, -14, 0, 46, -4, 0, 0, 0, 0, -54, 22, 0, 24, -72, -84, 0, 20, 24, 0, 0, 0, 0, 0, 54, 0, 28, 24, -30, 0, -72, -86, 0, 0, 0, 0, -60, -18, 0, -60, -34, -40, 0, -72, -12, 0, 0, 0, 0, -6, 16, 0, 10, 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mf_hecke_nf • Show schema
Hide schema
{'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, 0, -1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 1, 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, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0], [0, 0, 0, 0, -1, 0, 0, -1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, -1], [0, 0, 1, -1, 0, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 1, 0, 0, 0, 0, -2, -1, 0, 1, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1], [-1, 0, -1, 0, 0, -1, 1, 0, 0, 0, 1, 0, 0, -1, 1, 0, 0, 0, 0, 0], [0, 0, -1, 0, 1, 0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0, 0, 0], [-2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, -1, 0, 0, -1, 0, 0, 0, 0, 0], [0, 0, 0, 0, -1, 0, 0, -1, 1, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0], [0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 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0, 7, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, -5, 0, 0, 0, -13, 2, 0, 0, -1, 0, 0, 0, 3, 0, 3, 5], [0, 0, 0, 0, 0, 0, 0, -5, 0, -4, 0, 0, 0, 0, 0, 8, -3, -3, 7, 4], [-18, -4, 9, -10, 0, 5, 0, 0, 0, 0, 2, 9, 0, 1, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, -5, 0, 0, 0, -13, -4, 0, 0, 1, 0, 0, 0, -4, 0, -4, -8], [9, -2, -6, 0, 0, 8, 0, 0, 0, 0, -10, -6, 0, 6, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 13, 0, 0, 0, 1, 5, 0, 0, 7, 0, 0, 0, -3, 0, -3, 2], [0, 0, 0, 0, 0, 0, 0, 4, 0, 1, 0, 0, 0, 0, 0, -7, -6, 16, 5, -1], [-9, 3, -11, 4, 0, -9, 0, 0, 0, 0, 9, 2, 0, -6, 0, 0, 0, 0, 0, 0], [0, 1, 0, -8, 0, -9, 24, 0, 0, 0, 6, 0, 0, 4, -13, 0, 0, 0, 0, 0]], 'char_orbit_index': 20, 'field_poly': [59049, 0, 0, 0, -4374, 0, 729, 0, 486, 0, 81, 0, 54, 0, 9, 0, -6, 0, 0, 0, 1], 'hecke_orbit_code': 9008504958353525, 'hecke_ring_character_values': [[92, [-1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]], [28, [-1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 6561, 19683, 59049, 19683, 19683, 59049, 59049, 59049, 19683, 19683, 59049, 19683, 19683, 59049, 59049, 59049, 59049, 59049], 'hecke_ring_inverse_denominators': [1, 3, 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, 0, 0, 0, 1, 0, 0, -1, -1, 0, 0, 0, -2, 0, 0, -1, 0, 2, 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, 0, 0, 2, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0], [0, -1, 3, 1, 0, 0, 3, 0, 0, 0, 0, 0, 0, 2, -3, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, -3, 0, 0, -3, -3, 0, -3, 3], [3, 0, -6, 3, 0, 0, -6, 0, 0, 0, 0, 6, 0, 3, 3, 0, 0, 0, 0, 0], [0, 0, 0, 0, -9, 0, 0, -9, -12, -15, 0, 0, 3, 0, 0, -3, -9, -3, 3, 0], [-27, -6, 18, -3, 0, -27, -9, 0, 0, 0, 54, 27, 0, -6, -18, 0, 0, 0, 0, 0], [0, 0, 0, 0, 36, 0, 0, 45, -9, 9, 0, 0, -27, 0, 0, -9, 9, -45, -9, 45], [-117, 9, -36, 9, 0, 81, 126, 0, 0, 0, 0, 9, 0, -27, -9, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 54, -72, 45, 0, 0, 72, 0, 0, -99, -27, 117, 18, -27], [-189, -63, 0, -99, 0, 81, -405, 0, 0, 0, 81, -135, 0, 72, 27, 0, 0, 0, 0, 0], [0, 0, 0, 0, -594, 0, 0, 27, -189, 27, 0, 0, 135, 0, 0, 216, 54, -162, 162, -135], [-1107, -297, -54, 324, 0, 0, 432, 0, 0, 0, -486, -27, 0, -432, 432, 0, 0, 0, 0, 0], [0, 0, 0, 0, -81, 0, 0, -810, 1026, 756, 0, 0, 999, 0, 0, 378, 486, -1161, 27, -81], [3321, -378, -1620, -1242, 0, -972, -1863, 0, 0, 0, -243, -648, 0, -216, 243, 0, 0, 0, 0, 0], [0, 0, 0, 0, 324, 0, 0, -2754, -3402, 1215, 0, 0, -81, 0, 0, 2916, 81, 3564, 3240, -2268], [2106, 3888, 891, 405, 0, 3645, 891, 0, 0, 0, -1458, -4536, 0, -4212, 5022, 0, 0, 0, 0, 0], [0, 0, 0, 0, 4131, 0, 0, 8019, 810, 4050, 0, 0, -2754, 0, 0, -3078, 9720, -162, -5184, -3645]], 'hecke_ring_numerators': [[1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [13122, 0, -2187, 0, -2916, 0, -972, 0, -81, 0, -54, 0, 0, 0, -3, 0, -6, 0, -1, 0], [39366, 0, 39366, 0, 18954, 0, 4617, 0, 648, 0, 189, 0, 99, 0, 66, 0, 21, 0, 4, 0], [0, -98415, 0, -13122, 0, 5103, 0, 2673, 0, 324, 0, -27, 0, -153, 0, -12, 0, 15, 0, 5], [98415, 0, 13122, 0, -5832, 0, -1701, 0, -162, 0, 135, 0, 90, 0, 15, 0, -12, 0, -4, 0], [-98415, 0, -32805, 0, 1458, 0, 972, 0, -81, 0, -54, 0, -117, 0, -42, 0, 3, 0, 4, 0], [0, -157464, 0, -32805, 0, 2916, 0, 486, 0, 81, 0, -27, 0, -99, 0, -66, 0, 6, 0, 5], [0, -196830, 0, -72171, 0, -2916, 0, -1215, 0, -810, 0, -297, 0, -225, 0, -96, 0, -6, 0, 4], [0, 78732, 0, 45927, 0, 18225, 0, 1944, 0, 1053, 0, 378, 0, 171, 0, 87, 0, 24, 0, 2], [-98415, 0, -26244, 0, 8019, 0, 3159, 0, 405, 0, 27, 0, -63, 0, -33, 0, 12, 0, 7, 0], [98415, 0, 6561, 0, -16038, 0, -3402, 0, -324, 0, -54, 0, 18, 0, 3, 0, -24, 0, -8, 0], [0, 137781, 0, 39366, 0, -14580, 0, -3888, 0, -405, 0, 216, 0, 90, 0, 51, 0, -21, 0, -10], [-196830, 0, -59049, 0, 3645, 0, 3159, 0, -324, 0, -216, 0, -171, 0, -87, 0, 3, 0, 7, 0], [-177147, 0, -72171, 0, -5103, 0, 1701, 0, -324, 0, -297, 0, -198, 0, -87, 0, -6, 0, 7, 0], [0, 196830, 0, 78732, 0, -3645, 0, -3888, 0, 81, 0, -27, 0, 225, 0, 78, 0, -3, 0, -10], [0, 137781, 0, -19683, 0, -34263, 0, -8262, 0, -1134, 0, -270, 0, 9, 0, -30, 0, -48, 0, -10], [0, 196830, 0, 32805, 0, -18954, 0, -7533, 0, -891, 0, 54, 0, 117, 0, 15, 0, -30, 0, -13], [0, -492075, 0, -183708, 0, -7290, 0, 1701, 0, -567, 0, -459, 0, -522, 0, -231, 0, 3, 0, 13], [0, 373977, 0, 59049, 0, -34263, 0, -11907, 0, -405, 0, 54, 0, 252, 0, 60, 0, -57, 0, -25]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 20, 'label': '117.2.t.c', 'level': 117, 'maxp': 997, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 468, 'analytic_conductor': 0.9342497036489805, 'char_conductor': 117, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 20, 'char_orbit_label': 't', 'char_order': 6, 'char_parity': 1, 'char_values': [117, 6, [92, 28], [4, 3]], 'conrey_index': 25, 'cusp_dim': 24, 'dim': 24, 'eis_dim': 8, 'eis_new_dim': 8, 'hecke_cutter_primes': [2, 5], 'hecke_orbit_code': 1305703612533, 'hecke_orbit_dims': [2, 2, 20], 'label': '117.2.t', 'level': 117, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 13], 'level_radical': 39, 'mf_dim': 32, 'mf_new_dim': 32, 'num_forms': 3, 'prim_orbit_index': 20, 'relative_dim': 12, 'sturm_bound': 28, 'trace_bound': 5, 'trace_display': [0, -4, 0, 0], 'traces': [24, 0, -4, 8, 0, 0, 0, 0, 4, -16, 0, 10, -2, -18, 0, -4, -24, 0, 0, 0, 0, -10, 18, 0, 2, -12, -22, 0, 0, -54, 0, 0, 0, 0, 36, 26, 0, 12, -14, -8, 0, 6, 6, 0, 0, 0, 0, 38, 0, 0, -60, 4, 72, 0, -28, 36, 0, 0, 0, 0, -16, -72, 0, 40, 0, 78, 0, 36, 90, 0, 0, 0, 0, -42, -8, 0, -30, 66, -16, 0, 28, -4, 0, 0, 0, 0, -54, 22, 0, 24, -24, -96, 0, 20, 48, 0, 0, 0, 0, -56, 48, 0, 12, 24, -102, 0, -60, -50, 0, 0, 0, 0, -30, -18, 0, -12, -22, -40, 0, -72, -10, 0, 0, 0, 0, -6, 80, 0, 10, -10, -102, 0, 6, -84, 0, 0, 0, 0, 0, 6, 0, 8, -36, 10, 0, 102, -46, 0, 0, 0, 0, 204, 24, 0, -42, -46, 30, 0, 84, -18, 0, 0, 0, 0, 108, -10, 0, -60, 24, 240, 0, 40, 66, 0, 0, 0, 0, -10, -108, 0, -84, 60, 128, 0, 72, 216, 0, 0, 0, 0, -66, -68, 0, 24, 102, 74, 0, -60, 20, 0, 0, 0, 0, -228, -34, 0, 108, 96, -102, 0, -40, 90, 0, 0, 0, 0, 36, -12, 0, -36, -12, -186, 0, -192, -142, 0, 0, 0, 0, -150, 6, 0, 144, -120, 32, 0, -118, -12, 0, 0, 0, 0, 56, 8, 0, 114, 42, -186, 0, -80, -240, 0, 0, 0, 0, 100, 42, 0, -12, -276, 54, 0, 24, -210, 0, 0, 0, 0, 168, 78, 0, -18, -156, -10, 0, 216, -42, 0, 0, 0, 0, 102, -10, 0, -42, -34, 240, 0, -72, 48, 0, 0, 0, 0, 56, 48, 0, -28, 60, 248, 0, 144, 156, 0, 0, 0, 0, -78, 46, 0, -6, 168, 14, 0, -42, -112, 0, 0, 0, 0, -144, 54, 0, -28, 64, -156, 0, -20, 150, 0, 0, 0, 0, 32, 48, 0, -22, 156, -210, 0, -48, 126, 0, 0, 0, 0, -54, 18, 0, -12, 28, 24, 0, -114, -10, 0, 0, 0, 0, 54, -108, 0, 28, -60, -84, 0, 42, -132, 0, 0, 0, 0, -106, -96, 0, -26, 0, 60, 0, 156, -124, 0, 0, 0, 0, 372, -154, 0, -120, -72, -72, 0, 132, 62, 0, 0, 0, 0, 210, 62, 0, -168, -12, 360, 0, 12, 216, 0, 0, 0, 0, -116, -144, 0, 128, 102, 196, 0, -36, 354, 0, 0, 0, 0, -150, -90, 0, -108, 138, -146, 0, -106, 20, 0, 0, 0, 0, -282, 90, 0, 46, -240, -156, 0, 122, 126, 0, 0, 0, 0, -148, 0, 0, 116, 66, -402, 0, -384, -96, 0, 0, 0, 0, -114, -30, 0, 156, 52, -96, 0, -212, 22, 0, 0, 0, 0, -30, 260, 0, 198, 18, -126, 0, 118, -468, 0, 0, 0, 0, -34, 60, 0, 42, -300, -12, 0, 60, -444, 0, 0, 0, 0, 84, 60, 0, 12, -202, 26, 0, 108, 6, 0, 0, 0, 0, 248, -10, 0, -48, 94, 108, 0, 96, 150, 0, 0, 0, 0, -30, 60, 0, 0, 60, 294, 0, 162, 150, 0, 0, 0, 0, -234, 160, 0, -180, 156, 66, 0, 262, 168, 0, 0, 0, 0, -174, -146, 0, -270, 152, -120, 0, -82, 174, 0, 0, 0, 0, 112, 12, 0, -34, 144, -276, 0, 120, 80, 0, 0, 0, 0, -114, 228, 0, 216, 78, 188, 0, -44, 72, 0, 0, 0, 0, 90, -216, 0, -70, 72, -156, 0, -100, -204, 0, 0, 0, 0, 150, 48, 0, 58, -84, 120, 0, 120, -60, 0, 0, 0, 0, 204, -162, 0, -90, -32, 68, 0, 252, -20, 0, 0, 0, 0, 242, -118, 0, -246, -50, 240, 0, -280, 282, 0, 0, 0, 0, 174, 36, 0, -76, 150, 168, 0, 42, 276, 0, 0, 0, 0, 48, -240, 0, -72, 24, 22, 0, -210, -108, 0, 0, 0, 0, -192, -72, 0, 136, -40, -18, 0, -72, 84, 0, 0, 0, 0, 116, -150, 0, -50, -12, -486, 0, -360, -258, 0, 0, 0, 0, -114, 180, 0, 324, -150, 120, 0, -318, -28, 0, 0, 0, 0, -32, -380, 0, 258, -100, -120, 0, 8, -600, 0, 0, 0, 0, -284, 156, 0, -118, -252, 202, 0, -132, -458, 0, 0, 0, 0, 168, 36, 0, -84, -192, -114, 0, 186, 80, 0, 0, 0, 0, 96, 24, 0, 216, -48, 372, 0, 104, 18, 0, 0, 0, 0, -126, 336, 0, 176, -36, 242, 0, 150, 48, 0, 0, 0, 0, -174, 144, 0, -30, 42, -34, 0, -36, 68, 0, 0, 0, 0, -186, 112, 0, 72, -264, -108, 0, 194, 222, 0, 0, 0, 0, -268, 66, 0, 36, 156, -210, 0, 24, 174, 0, 0, 0, 0, -30, 132, 0, 12, 120, -324, 0, 318, 12, 0, 0, 0, 0, 342, 380, 0, -110, 42, -108, 0, 14, -264, 0, 0, 0, 0, 72, -222, 0, -22, -24, 186, 0, 132, 200, 0, 0, 0, 0, 288, -66, 0, -174, 54, 206, 0, 24, -118, 0, 0, 0, 0, 26, 102, 0, -54, 42, 204, 0, 432, 186, 0, 0, 0, 0, 124, -276, 0, -100, 174, 36, 0, -144, 414, 0, 0, 0, 0, 42, -378, 0, 6, 180, 128, 0, -398, 168, 0, 0, 0, 0, 24, -94, 0, -138, 288, -114, 0, -172, 6, 0, 0, 0, 0, 128, 42, 0, -82, 78, -132, 0, -420, -100, 0, 0, 0, 0, -216, -72, 0, 24, -150, 44, 0, -322, -96, 0, 0, 0, 0, -174, 196, 0, 202, -24, 84, 0, -120, -144, 0, 0, 0, 0, 302, 30, 0, 84, -60, -18, 0, 0, -450, 0, 0, 0, 0, -108, -146, 0, 54, -136, 42, 0, 90, -4, 0, 0, 0, 0, 54, -118, 0, -252, -138, 180, 0, -168, -30, 0, 0, 0, 0, 252, 216, 0, -100], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 101162
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 20, 'source_dim': 20, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '117.2.t.c', 'source_level': 117, 'target_char_orbit': 20, 'target_dim': 20, 'target_hecke_orbit': 3, 'target_is_minimal': True, 'target_label': '117.2.t.c', 'target_level': 117, 'twist_class_label': '117.2.t.c', 'twist_class_level': 117, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 101163
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 20, 'source_dim': 20, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '117.2.t.c', 'source_level': 117, 'target_char_orbit': 20, 'target_dim': 20, 'target_hecke_orbit': 3, 'target_is_minimal': True, 'target_label': '117.2.t.c', 'target_level': 117, 'twist_class_label': '117.2.t.c', 'twist_class_level': 117, 'twisting_char_label': '9.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 101164
{'conductor': 13, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 20, 'source_dim': 20, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '117.2.t.c', 'source_level': 117, 'target_char_orbit': 20, 'target_dim': 20, 'target_hecke_orbit': 3, 'target_is_minimal': True, 'target_label': '117.2.t.c', 'target_level': 117, 'twist_class_label': '117.2.t.c', 'twist_class_level': 117, 'twisting_char_label': '13.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 101165
{'conductor': 117, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 20, 'source_dim': 20, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '117.2.t.c', 'source_level': 117, 'target_char_orbit': 20, 'target_dim': 20, 'target_hecke_orbit': 3, 'target_is_minimal': True, 'target_label': '117.2.t.c', 'target_level': 117, 'twist_class_label': '117.2.t.c', 'twist_class_level': 117, 'twisting_char_label': '117.t', 'twisting_char_orbit': 20, 'weight': 2}
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id: 101166
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 20, 'source_dim': 20, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '117.2.t.c', 'source_level': 117, 'target_char_orbit': 20, 'target_dim': 20, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '351.2.t.c', 'target_level': 351, 'twist_class_label': '117.2.t.c', 'twist_class_level': 117, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 101167
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 20, 'source_dim': 20, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '117.2.t.c', 'source_level': 117, 'target_char_orbit': 20, 'target_dim': 20, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '351.2.t.c', 'target_level': 351, 'twist_class_label': '117.2.t.c', 'twist_class_level': 117, 'twisting_char_label': '9.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 101168
{'conductor': 39, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 20, 'source_dim': 20, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '117.2.t.c', 'source_level': 117, 'target_char_orbit': 20, 'target_dim': 20, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '351.2.t.c', 'target_level': 351, 'twist_class_label': '117.2.t.c', 'twist_class_level': 117, 'twisting_char_label': '39.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 101169
{'conductor': 117, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 20, 'source_dim': 20, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '117.2.t.c', 'source_level': 117, 'target_char_orbit': 20, 'target_dim': 20, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '351.2.t.c', 'target_level': 351, 'twist_class_label': '117.2.t.c', 'twist_class_level': 117, 'twisting_char_label': '117.n', 'twisting_char_orbit': 14, 'weight': 2}
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id: 101170
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 20, 'source_dim': 20, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '117.2.t.c', 'source_level': 117, 'target_char_orbit': 2, 'target_dim': 10, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '1053.2.b.i', 'target_level': 1053, 'twist_class_label': '117.2.t.c', 'twist_class_level': 117, 'twisting_char_label': '9.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 101171
{'conductor': 117, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 20, 'source_dim': 20, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '117.2.t.c', 'source_level': 117, 'target_char_orbit': 2, 'target_dim': 10, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '1053.2.b.i', 'target_level': 1053, 'twist_class_label': '117.2.t.c', 'twist_class_level': 117, 'twisting_char_label': '117.n', 'twisting_char_orbit': 14, 'weight': 2}
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id: 101172
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 20, 'source_dim': 20, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '117.2.t.c', 'source_level': 117, 'target_char_orbit': 2, 'target_dim': 10, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '1053.2.b.j', 'target_level': 1053, 'twist_class_label': '117.2.t.c', 'twist_class_level': 117, 'twisting_char_label': '9.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 101173
{'conductor': 117, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 20, 'source_dim': 20, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '117.2.t.c', 'source_level': 117, 'target_char_orbit': 2, 'target_dim': 10, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '1053.2.b.j', 'target_level': 1053, 'twist_class_label': '117.2.t.c', 'twist_class_level': 117, 'twisting_char_label': '117.t', 'twisting_char_orbit': 20, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 332850
{'charpoly_factorization': [[[6561, 0, -18468, 0, 34002, 0, -35874, 0, 27240, 0, -12987, 0, 4501, 0, -1012, 0, 165, 0, -16, 0, 1], 1]], 'hecke_orbit_code': 9008504958353525, 'p': 2}
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id: 332851
{'charpoly_factorization': [[[243, -81, 27, 27, -27, 9, -9, 3, 1, -1, 1], 2]], 'hecke_orbit_code': 9008504958353525, 'p': 3}
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id: 332852
{'charpoly_factorization': [[[6561, 0, -19683, 0, 38394, 0, -43821, 0, 36270, 0, -19407, 0, 7456, 0, -1618, 0, 249, 0, -19, 0, 1], 1]], 'hecke_orbit_code': 9008504958353525, 'p': 5}
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id: 332853
{'charpoly_factorization': [[[531441, 0, -1240029, 0, 1981422, 0, -1677429, 0, 1017522, 0, -285228, 0, 56250, 0, -6768, 0, 591, 0, -30, 0, 1], 1]], 'hecke_orbit_code': 9008504958353525, 'p': 7}
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id: 332854
{'charpoly_factorization': [[[276922881, 0, -283113333, 0, 191493243, 0, -72547740, 0, 19725810, 0, -3228861, 0, 381814, 0, -28849, 0, 1572, 0, -49, 0, 1], 1]], 'hecke_orbit_code': 9008504958353525, 'p': 11}
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id: 332855
{'charpoly_factorization': [[[137858491849, 42417997492, 5710115047, 7278827972, 1848667847, -41584816, 78200018, 16521440, -12268555, -3013660, -216343, -231820, -72595, 7520, 2738, -112, 383, 116, 7, 4, 1], 1]], 'hecke_orbit_code': 9008504958353525, 'p': 13}
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id: 332856
{'charpoly_factorization': [[[81, 135, -90, -33, 3, 1], 4]], 'hecke_orbit_code': 9008504958353525, 'p': 17}
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id: 332857
{'charpoly_factorization': [[[700569, 0, 669546, 0, 102177, 0, 5727, 0, 129, 0, 1], 2]], 'hecke_orbit_code': 9008504958353525, 'p': 19}
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id: 332858
{'charpoly_factorization': [[[531441, 354294, 452709, -144342, 79461, -12393, 4050, -594, 144, -12, 1], 2]], 'hecke_orbit_code': 9008504958353525, 'p': 23}
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id: 332859
{'charpoly_factorization': [[[6561, 8748, 11664, 5346, 4050, 1377, 981, 198, 69, -6, 1], 2]], 'hecke_orbit_code': 9008504958353525, 'p': 29}
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id: 332860
{'charpoly_factorization': [[[138251528157681, 0, -54694503062388, 0, 16282556731872, 0, -1750372134930, 0, 132055930044, 0, -5136295401, 0, 142295949, 0, -2472264, 0, 30993, 0, -216, 0, 1], 1]], 'hecke_orbit_code': 9008504958353525, 'p': 31}
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id: 332861
{'charpoly_factorization': [[[41641209, 0, 7503921, 0, 513900, 0, 16365, 0, 231, 0, 1], 2]], 'hecke_orbit_code': 9008504958353525, 'p': 37}
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id: 332862
{'charpoly_factorization': [[[273245607441, 0, -184109858361, 0, 90408863970, 0, -18062576541, 0, 2528918214, 0, -200902800, 0, 11457454, 0, -391072, 0, 9519, 0, -118, 0, 1], 1]], 'hecke_orbit_code': 9008504958353525, 'p': 41}
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id: 332863
{'charpoly_factorization': [[[32041, 32578, 44580, 7326, 14100, 4299, 2499, 234, 57, -2, 1], 2]], 'hecke_orbit_code': 9008504958353525, 'p': 43}
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id: 332864
{'charpoly_factorization': [[[49241109874401, 0, -26419382836146, 0, 11573198129367, 0, -1203929517204, 0, 84530658246, 0, -3533381916, 0, 107237134, 0, -2061877, 0, 28350, 0, -205, 0, 1], 1]], 'hecke_orbit_code': 9008504958353525, 'p': 47}
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id: 332865
{'charpoly_factorization': [[[-243, 837, -855, 246, -27, 1], 4]], 'hecke_orbit_code': 9008504958353525, 'p': 53}
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id: 332866
{'charpoly_factorization': [[[75017234240001, 0, -18231470098803, 0, 2809545978744, 0, -261116299539, 0, 17633189736, 0, -834309939, 0, 29612812, 0, -738070, 0, 13353, 0, -145, 0, 1], 1]], 'hecke_orbit_code': 9008504958353525, 'p': 59}
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id: 332867
{'charpoly_factorization': [[[118091689, 56508400, 32571303, 1243586, 1179014, 91578, 27350, 839, 180, 1, 1], 2]], 'hecke_orbit_code': 9008504958353525, 'p': 61}
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id: 332868
{'charpoly_factorization': [[[282429536481, 0, -552074196825, 0, 940848266052, 0, -251904628323, 0, 49553094114, 0, -3957818274, 0, 230097186, 0, -4166964, 0, 55539, 0, -270, 0, 1], 1]], 'hecke_orbit_code': 9008504958353525, 'p': 67}
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id: 332869
{'charpoly_factorization': [[[178929, 0, 152409, 0, 35022, 0, 3046, 0, 97, 0, 1], 2]], 'hecke_orbit_code': 9008504958353525, 'p': 71}
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id: 332870
{'charpoly_factorization': [[[56746089, 0, 40063653, 0, 2365848, 0, 46521, 0, 369, 0, 1], 2]], 'hecke_orbit_code': 9008504958353525, 'p': 73}
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id: 332871
{'charpoly_factorization': [[[1481089, 3777568, 8051499, 3704846, 1275872, 220476, 30980, 1643, 186, 7, 1], 2]], 'hecke_orbit_code': 9008504958353525, 'p': 79}
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id: 332872
{'charpoly_factorization': [[[2050227777272481, 0, -7200099307710837, 0, 24919599833793054, 0, -1275475723378857, 0, 47451934669362, 0, -725326217526, 0, 7812097504, 0, -49090630, 0, 223881, 0, -580, 0, 1], 1]], 'hecke_orbit_code': 9008504958353525, 'p': 83}
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id: 332873
{'charpoly_factorization': [[[5851791009, 0, 439365162, 0, 11736657, 0, 134917, 0, 637, 0, 1], 2]], 'hecke_orbit_code': 9008504958353525, 'p': 89}
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id: 332874
{'charpoly_factorization': [[[47048089623921, 0, -778024425798432, 0, 12821337300997125, 0, -737464045559544, 0, 29500142775525, 0, -604783596501, 0, 8925272964, 0, -56818026, 0, 260412, 0, -612, 0, 1], 1]], 'hecke_orbit_code': 9008504958353525, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 20, 'hecke_orbit': 3, 'label': '117.2.t.c', 'level': 117, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
-
id: 31881295
{'hecke_orbit_code': 9008504958353525, 'n': 1, 'trace_an': 20}
-
id: 31881296
{'hecke_orbit_code': 9008504958353525, 'n': 2, 'trace_an': 0}
-
id: 31881297
{'hecke_orbit_code': 9008504958353525, 'n': 3, 'trace_an': 2}
-
id: 31881298
{'hecke_orbit_code': 9008504958353525, 'n': 4, 'trace_an': 12}
-
id: 31881299
{'hecke_orbit_code': 9008504958353525, 'n': 5, 'trace_an': 0}
-
id: 31881300
{'hecke_orbit_code': 9008504958353525, 'n': 6, 'trace_an': 0}
-
id: 31881301
{'hecke_orbit_code': 9008504958353525, 'n': 7, 'trace_an': 0}
-
id: 31881302
{'hecke_orbit_code': 9008504958353525, 'n': 8, 'trace_an': 0}
-
id: 31881303
{'hecke_orbit_code': 9008504958353525, 'n': 9, 'trace_an': -2}
-
id: 31881304
{'hecke_orbit_code': 9008504958353525, 'n': 10, 'trace_an': -16}
-
id: 31881305
{'hecke_orbit_code': 9008504958353525, 'n': 11, 'trace_an': 0}
-
id: 31881306
{'hecke_orbit_code': 9008504958353525, 'n': 12, 'trace_an': -2}
-
id: 31881307
{'hecke_orbit_code': 9008504958353525, 'n': 13, 'trace_an': -4}
-
id: 31881308
{'hecke_orbit_code': 9008504958353525, 'n': 14, 'trace_an': -18}
-
id: 31881309
{'hecke_orbit_code': 9008504958353525, 'n': 15, 'trace_an': 0}
-
id: 31881310
{'hecke_orbit_code': 9008504958353525, 'n': 16, 'trace_an': 4}
-
id: 31881311
{'hecke_orbit_code': 9008504958353525, 'n': 17, 'trace_an': -12}
-
id: 31881312
{'hecke_orbit_code': 9008504958353525, 'n': 18, 'trace_an': 0}
-
id: 31881313
{'hecke_orbit_code': 9008504958353525, 'n': 19, 'trace_an': 0}
-
id: 31881314
{'hecke_orbit_code': 9008504958353525, 'n': 20, 'trace_an': 0}
-
id: 31881315
{'hecke_orbit_code': 9008504958353525, 'n': 21, 'trace_an': 0}
-
id: 31881316
{'hecke_orbit_code': 9008504958353525, 'n': 22, 'trace_an': -10}
-
id: 31881317
{'hecke_orbit_code': 9008504958353525, 'n': 23, 'trace_an': 24}
-
id: 31881318
{'hecke_orbit_code': 9008504958353525, 'n': 24, 'trace_an': 0}
-
id: 31881319
{'hecke_orbit_code': 9008504958353525, 'n': 25, 'trace_an': -12}
-
id: 31881320
{'hecke_orbit_code': 9008504958353525, 'n': 26, 'trace_an': -12}
-
id: 31881321
{'hecke_orbit_code': 9008504958353525, 'n': 27, 'trace_an': -22}
-
id: 31881322
{'hecke_orbit_code': 9008504958353525, 'n': 28, 'trace_an': 0}
-
id: 31881323
{'hecke_orbit_code': 9008504958353525, 'n': 29, 'trace_an': 12}
-
id: 31881324
{'hecke_orbit_code': 9008504958353525, 'n': 30, 'trace_an': -54}
-
id: 31881325
{'hecke_orbit_code': 9008504958353525, 'n': 31, 'trace_an': 0}
-
id: 31881326
{'hecke_orbit_code': 9008504958353525, 'n': 32, 'trace_an': 0}
-
id: 31881327
{'hecke_orbit_code': 9008504958353525, 'n': 33, 'trace_an': 0}
-
id: 31881328
{'hecke_orbit_code': 9008504958353525, 'n': 34, 'trace_an': 0}
-
id: 31881329
{'hecke_orbit_code': 9008504958353525, 'n': 35, 'trace_an': -12}
-
id: 31881330
{'hecke_orbit_code': 9008504958353525, 'n': 36, 'trace_an': 50}
-
id: 31881331
{'hecke_orbit_code': 9008504958353525, 'n': 37, 'trace_an': 0}
-
id: 31881332
{'hecke_orbit_code': 9008504958353525, 'n': 38, 'trace_an': 12}
-
id: 31881333
{'hecke_orbit_code': 9008504958353525, 'n': 39, 'trace_an': -8}
-
id: 31881334
{'hecke_orbit_code': 9008504958353525, 'n': 40, 'trace_an': -8}
-
id: 31881335
{'hecke_orbit_code': 9008504958353525, 'n': 41, 'trace_an': 0}
-
id: 31881336
{'hecke_orbit_code': 9008504958353525, 'n': 42, 'trace_an': 6}
-
id: 31881337
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id: 31881535
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id: 31881550
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id: 31881551
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id: 31881552
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