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{'Nk2': 32032, 'analytic_conductor': 63.944201938641335, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [7, 1], [11, -1], [13, 1]], 'atkin_lehner_string': '-+-+', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [8008, 1, [6007, 4005, 3433, 4369, 4929], [1, 1, 1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 11, 'field_disc': 462357212209056081, 'field_disc_factorization': [[3, 4], [89, 1], [201389, 1], [318468781, 1]], 'field_poly': [64, -87, -295, 280, 380, -296, -178, 120, 33, -19, -2, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'fricke_eigenval': 1, 'has_non_self_twist': 0, 'hecke_cutters': [[3, [-64, -87, 295, 280, -380, -296, 178, 120, -33, -19, 2, 1]], [5, [-14, -103, 177, 1236, 618, -908, -398, 272, 59, -31, -2, 1]], [17, [-1240534, -353067, 573247, 165982, -96466, -27762, 7560, 2118, -281, -75, 4, 1]]], 'hecke_orbit': 22, 'hecke_orbit_code': 94575592208342856, 'hecke_ring_generator_nbound': 17, 'hecke_ring_index': 16, 'hecke_ring_index_factorization': [[2, 4]], 'hecke_ring_index_proved': True, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '8008.2.a.v', 'level': 8008, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 7, 11, 13], 'level_radical': 2002, 'minimal_twist': '8008.2.a.v', 'prim_orbit_index': 1, 'qexp_display': 'q-\\beta _{1}q^{3}+\\beta _{3}q^{5}-q^{7}+(1+\\beta _{3}+\\beta _{9}+\\cdots)q^{9}+\\cdots', 'related_objects': [], 'relative_dim': 11, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': 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{'AL_dims': [[[[2, -1], [7, -1], [11, -1], [13, -1]], 10, 2], [[[2, 1], [7, 1], [11, 1], [13, -1]], 15, 1], [[[2, 1], [7, 1], [11, -1], [13, 1]], 11, 2], [[[2, -1], [7, 1], [11, 1], [13, -1]], 13, 3], [[[2, 1], [7, 1], [11, 1], [13, 1]], 10, 1], [[[2, 1], [7, -1], [11, -1], [13, -1]], 12, 1], [[[2, -1], [7, 1], [11, -1], [13, -1]], 11, 1], [[[2, -1], [7, -1], [11, 1], [13, -1]], 11, 2], [[[2, 1], [7, -1], [11, 1], [13, 1]], 14, 4], [[[2, 1], [7, 1], [11, -1], [13, -1]], 9, 1], [[[2, -1], [7, -1], [11, 1], [13, 1]], 14, 1], [[[2, 1], [7, -1], [11, -1], [13, 1]], 10, 1], [[[2, -1], [7, -1], [11, -1], [13, 1]], 10, 2], [[[2, -1], [7, 1], [11, 1], [13, 1]], 10, 2], [[[2, -1], [7, 1], [11, -1], [13, 1]], 11, 1], [[[2, 1], [7, -1], [11, 1], [13, -1]], 9, 1]], 'ALdims': [10, 15, 11, 9, 14, 9, 10, 12, 10, 13, 11, 11, 14, 11, 10, 10], 'Nk2': 32032, 'analytic_conductor': 63.944201938641335, 'char_conductor': 1, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [8008, 1, [6007, 4005, 3433, 4369, 4929], [1, 1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 1329, 'dim': 180, 'eis_dim': 31, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 5, 17], 'hecke_orbit_code': 33562440, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 2, 2, 2, 3, 5, 6, 8, 9, 9, 9, 9, 9, 9, 10, 10, 10, 11, 11, 12, 14, 15], 'label': '8008.2.a', 'level': 8008, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 7, 11, 13], 'level_radical': 2002, 'mf_dim': 1360, 'mf_new_dim': 180, 'num_forms': 26, 'plus_dim': 86, 'prim_orbit_index': 1, 'relative_dim': 180, 'sturm_bound': 2688, 'trace_bound': 7, 'trace_display': [0, 0, 0, 0], 'traces': [180, 0, 0, 0, 0, 0, 0, 0, 180, 0, -12, 0, 0, 0, -24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 180, 0, -24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 16, 0, 0, 0, -24, 0, -24, 0, 180, 0, 0, 0, -8, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, -8, 0, -24, 0, 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mf_twists_cc • Show schema
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{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 11, 'source_embedding_index': 6, 'source_hecke_orbit_code': 94575592208342856, 'source_is_minimal': True, 'source_label': '8008.2.a.v.1.6', 'source_level': 8008, 'target_conrey_index': 1, 'target_dim': 11, 'target_embedding_index': 6, 'target_hecke_orbit_code': 94575592208342856, 'target_is_minimal': True, 'target_label': '8008.2.a.v.1.6', 'target_level': 8008, 'twist_class_label': '8008.2.a.v.1.6', 'twist_class_level': 8008, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 4634000
{'charpoly_factorization': [[[0, 1], 11]], 'hecke_orbit_code': 94575592208342856, 'p': 2}
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id: 4634001
{'charpoly_factorization': [[[-64, -87, 295, 280, -380, -296, 178, 120, -33, -19, 2, 1], 1]], 'hecke_orbit_code': 94575592208342856, 'p': 3}
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id: 4634002
{'charpoly_factorization': [[[-14, -103, 177, 1236, 618, -908, -398, 272, 59, -31, -2, 1], 1]], 'hecke_orbit_code': 94575592208342856, 'p': 5}
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id: 4634003
{'charpoly_factorization': [[[1, 1], 11]], 'hecke_orbit_code': 94575592208342856, 'p': 7}
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id: 4634004
{'charpoly_factorization': [[[-1, 1], 11]], 'hecke_orbit_code': 94575592208342856, 'p': 11}
-
id: 4634005
{'charpoly_factorization': [[[1, 1], 11]], 'hecke_orbit_code': 94575592208342856, 'p': 13}
-
id: 4634006
{'charpoly_factorization': [[[-1240534, -353067, 573247, 165982, -96466, -27762, 7560, 2118, -281, -75, 4, 1], 1]], 'hecke_orbit_code': 94575592208342856, 'p': 17}
-
id: 4634007
{'charpoly_factorization': [[[-398384, 439905, 379919, -290992, -134588, 49334, 17036, -2378, -899, 7, 16, 1], 1]], 'hecke_orbit_code': 94575592208342856, 'p': 19}
-
id: 4634008
{'charpoly_factorization': [[[433152, 677952, 78048, -339488, -172776, 3900, 18432, 2473, -530, -108, 3, 1], 1]], 'hecke_orbit_code': 94575592208342856, 'p': 23}
-
id: 4634009
{'charpoly_factorization': [[[-9670272, -5380608, 4449216, 2864752, -182896, -276300, -3576, 10775, 200, -182, -1, 1], 1]], 'hecke_orbit_code': 94575592208342856, 'p': 29}
-
id: 4634010
{'charpoly_factorization': [[[-17531904, 50991552, -32336448, -6793408, 5385504, -20632, -203226, 9089, 2880, -178, -14, 1], 1]], 'hecke_orbit_code': 94575592208342856, 'p': 31}
-
id: 4634011
{'charpoly_factorization': [[[-2176128, -7329024, 6722208, 6030512, -1760352, -514492, 81546, 15931, -1381, -210, 8, 1], 1]], 'hecke_orbit_code': 94575592208342856, 'p': 37}
-
id: 4634012
{'charpoly_factorization': [[[-331392, -1219200, 612960, 2964592, 192608, -306900, -18894, 11255, 497, -176, -4, 1], 1]], 'hecke_orbit_code': 94575592208342856, 'p': 41}
-
id: 4634013
{'charpoly_factorization': [[[2453332, 11921861, 16547792, 10171518, 2842461, 154183, -102121, -22181, -661, 258, 30, 1], 1]], 'hecke_orbit_code': 94575592208342856, 'p': 43}
-
id: 4634014
{'charpoly_factorization': [[[433152, 677952, 78048, -339488, -172776, 3900, 18432, 2473, -530, -108, 3, 1], 1]], 'hecke_orbit_code': 94575592208342856, 'p': 47}
-
id: 4634015
{'charpoly_factorization': [[[-52723918, -152142869, 35006033, 30176399, -2523816, -1626773, 84635, 34081, -1140, -307, 5, 1], 1]], 'hecke_orbit_code': 94575592208342856, 'p': 53}
-
id: 4634016
{'charpoly_factorization': [[[-2048, -79552, -657600, -1308160, 1037816, 25168, -76216, 3829, 1741, -137, -11, 1], 1]], 'hecke_orbit_code': 94575592208342856, 'p': 59}
-
id: 4634017
{'charpoly_factorization': [[[-412898, 4677133, -9488858, 1839691, 2687413, -117464, -137348, 6088, 2484, -138, -15, 1], 1]], 'hecke_orbit_code': 94575592208342856, 'p': 61}
-
id: 4634018
{'charpoly_factorization': [[[-126938492, -146137735, -39209337, 10331030, 5755783, 244615, -214452, -31241, 1177, 546, 41, 1], 1]], 'hecke_orbit_code': 94575592208342856, 'p': 67}
-
id: 4634019
{'charpoly_factorization': [[[1001186432, 2778239920, 1630191104, 211794832, -41562628, -8599751, 317507, 106374, -585, -546, -1, 1], 1]], 'hecke_orbit_code': 94575592208342856, 'p': 71}
-
id: 4634020
{'charpoly_factorization': [[[-183384192, 925013952, 426137088, -49415072, -37868976, -1960316, 706428, 60981, -4269, -450, 8, 1], 1]], 'hecke_orbit_code': 94575592208342856, 'p': 73}
-
id: 4634021
{'charpoly_factorization': [[[-110006064, -79446267, 100981854, 35819692, -19395995, -471889, 604619, 4055, -6955, -156, 26, 1], 1]], 'hecke_orbit_code': 94575592208342856, 'p': 79}
-
id: 4634022
{'charpoly_factorization': [[[7126131504, -18424422051, 5601492408, 236053051, -191655167, 358500, 2526896, 11352, -15000, -302, 31, 1], 1]], 'hecke_orbit_code': 94575592208342856, 'p': 83}
-
id: 4634023
{'charpoly_factorization': [[[147931482, -144813183, -17932305, 28942640, 554054, -1862320, -2110, 43528, 85, -383, -2, 1], 1]], 'hecke_orbit_code': 94575592208342856, 'p': 89}
-
id: 4634024
{'charpoly_factorization': [[[-164065879168, -9248119744, 14241466272, 1040343056, -360793384, -34142644, 2537358, 285251, -6723, -910, 6, 1], 1]], 'hecke_orbit_code': 94575592208342856, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 22, 'label': '8008.2.a.v', 'level': 8008, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 252346000
{'hecke_orbit_code': 94575592208342856, 'n': 1, 'trace_an': 11}
-
id: 252346001
{'hecke_orbit_code': 94575592208342856, 'n': 2, 'trace_an': 0}
-
id: 252346002
{'hecke_orbit_code': 94575592208342856, 'n': 3, 'trace_an': -2}
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id: 252346003
{'hecke_orbit_code': 94575592208342856, 'n': 4, 'trace_an': 0}
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id: 252346004
{'hecke_orbit_code': 94575592208342856, 'n': 5, 'trace_an': 2}
-
id: 252346005
{'hecke_orbit_code': 94575592208342856, 'n': 6, 'trace_an': 0}
-
id: 252346006
{'hecke_orbit_code': 94575592208342856, 'n': 7, 'trace_an': -11}
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id: 252346007
{'hecke_orbit_code': 94575592208342856, 'n': 8, 'trace_an': 0}
-
id: 252346008
{'hecke_orbit_code': 94575592208342856, 'n': 9, 'trace_an': 9}
-
id: 252346009
{'hecke_orbit_code': 94575592208342856, 'n': 10, 'trace_an': 0}
-
id: 252346010
{'hecke_orbit_code': 94575592208342856, 'n': 11, 'trace_an': 11}
-
id: 252346011
{'hecke_orbit_code': 94575592208342856, 'n': 12, 'trace_an': 0}
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id: 252346012
{'hecke_orbit_code': 94575592208342856, 'n': 13, 'trace_an': -11}
-
id: 252346013
{'hecke_orbit_code': 94575592208342856, 'n': 14, 'trace_an': 0}
-
id: 252346014
{'hecke_orbit_code': 94575592208342856, 'n': 15, 'trace_an': -7}
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id: 252346015
{'hecke_orbit_code': 94575592208342856, 'n': 16, 'trace_an': 0}
-
id: 252346016
{'hecke_orbit_code': 94575592208342856, 'n': 17, 'trace_an': -4}
-
id: 252346017
{'hecke_orbit_code': 94575592208342856, 'n': 18, 'trace_an': 0}
-
id: 252346018
{'hecke_orbit_code': 94575592208342856, 'n': 19, 'trace_an': -16}
-
id: 252346019
{'hecke_orbit_code': 94575592208342856, 'n': 20, 'trace_an': 0}
-
id: 252346020
{'hecke_orbit_code': 94575592208342856, 'n': 21, 'trace_an': 2}
-
id: 252346021
{'hecke_orbit_code': 94575592208342856, 'n': 22, 'trace_an': 0}
-
id: 252346022
{'hecke_orbit_code': 94575592208342856, 'n': 23, 'trace_an': -3}
-
id: 252346023
{'hecke_orbit_code': 94575592208342856, 'n': 24, 'trace_an': 0}
-
id: 252346024
{'hecke_orbit_code': 94575592208342856, 'n': 25, 'trace_an': 11}
-
id: 252346025
{'hecke_orbit_code': 94575592208342856, 'n': 26, 'trace_an': 0}
-
id: 252346026
{'hecke_orbit_code': 94575592208342856, 'n': 27, 'trace_an': -11}
-
id: 252346027
{'hecke_orbit_code': 94575592208342856, 'n': 28, 'trace_an': 0}
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