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{'Nk2': 4820, 'analytic_conductor': 9.621973443564286, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[5, 1], [241, 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': [1205, 1, [242, 971], [1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 15, 'field_disc': 2480998014519860969224733, 'field_disc_factorization': [[109, 1], [24304867, 1], [936497602496411, 1]], 'field_poly': [-1, -17, -57, 89, 394, -297, -699, 437, 519, -296, -184, 99, 31, -16, -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': [[2, [-1, -17, -57, 89, 394, -297, -699, 437, 519, -296, -184, 99, 31, -16, -2, 1]]], 'hecke_orbit': 3, 'hecke_orbit_code': 9007199288296629, 'hecke_ring_generator_nbound': 2, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], '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': '1205.2.a.c', 'level': 1205, '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': True, 'level_primes': [5, 241], 'level_radical': 1205, 'minimal_twist': '1205.2.a.c', 'prim_orbit_index': 1, 'qexp_display': 'q+\\beta _{1}q^{2}+\\beta _{11}q^{3}+\\beta _{2}q^{4}-q^{5}+(-\\beta _{8}+\\cdots)q^{6}+\\cdots', 'related_objects': [], 'relative_dim': 15, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1205.2.a', 'trace_display': [2, -7, -15, -3], 'trace_hash': 2043575176277940030, 'trace_moments': [{'__RealLiteral__': 0, 'data': 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-
mf_newspaces • Show schema
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{'ALdims': [15, 25, 25, 16], 'Nk2': 4820, 'analytic_conductor': 9.621973443564286, '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': [1205, 1, [242, 971], [1, 1]], 'conrey_index': 1, 'cusp_dim': 119, 'dim': 81, 'eis_dim': 3, 'eis_new_dim': 0, 'hecke_cutter_primes': [2], 'hecke_orbit_code': 33555637, 'hecke_orbit_dims': [5, 11, 15, 25, 25], 'label': '1205.2.a', 'level': 1205, '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': True, 'level_primes': [5, 241], 'level_radical': 1205, 'mf_dim': 122, 'mf_new_dim': 81, 'num_forms': 5, 'plus_dim': 31, 'prim_orbit_index': 1, 'relative_dim': 81, 'sturm_bound': 242, 'trace_bound': 2, 'trace_display': [-1, 4, 1, 4], 'traces': [81, -1, 4, 83, 1, 0, 4, -9, 89, 3, -4, 16, 6, 4, 0, 75, -2, -9, 20, -1, 12, 0, -8, 20, 81, -38, 16, 8, 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-286, 26, 380, -4, 124, 42, 56, -72, -68, -202, -873, 216, -212, -120, 128, 240, -436, 140, -34, 260, -40, -24, 56, -12, 140, -428, 286, 12, 107, -104, -48, -156, 202, -82, 20, 260, 32, -538, 200, -364, 328, -144, 274, -36, 110, -196, -92, 64, 20, 172, 422, 276, 148, 2, 140, -156, -2, -58, 104, 116, 126, -60, -116, 28, -146, -126, 188, 224, 240, 18, 244, -28, -304, -8, -200, -164, -404, -40, -16, 156, 40, 62, -482, -104, 112, 36, -216, -160, 200, 73, -160, -8, 7, -42, -72, 232, 335, -156, 38, 144, -112, 368, -300, -20, -54, -106, 812, -148, 55, -142, 144, 24, 16, 82, 20, 48, 84, 16, -32, -208, -260, -424, -80, -48, 148, -50, -428, -24, 15], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 40116562
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 15, 'source_embedding_index': 13, 'source_hecke_orbit_code': 9007199288296629, 'source_is_minimal': True, 'source_label': '1205.2.a.c.1.13', 'source_level': 1205, 'target_conrey_index': 1, 'target_dim': 15, 'target_embedding_index': 13, 'target_hecke_orbit_code': 9007199288296629, 'target_is_minimal': True, 'target_label': '1205.2.a.c.1.13', 'target_level': 1205, 'twist_class_label': '1205.2.a.c.1.13', 'twist_class_level': 1205, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 40116563
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 15, 'source_embedding_index': 13, 'source_hecke_orbit_code': 9007199288296629, 'source_is_minimal': True, 'source_label': '1205.2.a.c.1.13', 'source_level': 1205, 'target_conrey_index': 1, 'target_dim': 15, 'target_embedding_index': 3, 'target_hecke_orbit_code': 36028797052524425, 'target_is_minimal': False, 'target_label': '6025.2.a.i.1.3', 'target_level': 6025, 'twist_class_label': '1205.2.a.c.1.13', 'twist_class_level': 1205, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 1767075
{'charpoly_factorization': [[[-1, -17, -57, 89, 394, -297, -699, 437, 519, -296, -184, 99, 31, -16, -2, 1], 1]], 'hecke_orbit_code': 9007199288296629, 'p': 2}
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id: 1767076
{'charpoly_factorization': [[[191, 447, -721, -2131, 611, 3617, 499, -2749, -949, 970, 484, -133, -100, -1, 7, 1], 1]], 'hecke_orbit_code': 9007199288296629, 'p': 3}
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id: 1767077
{'charpoly_factorization': [[[1, 1], 15]], 'hecke_orbit_code': 9007199288296629, 'p': 5}
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id: 1767078
{'charpoly_factorization': [[[241, -3172, 5244, 8197, -14696, -8475, 14084, 5181, -6226, -1991, 1298, 416, -110, -36, 3, 1], 1]], 'hecke_orbit_code': 9007199288296629, 'p': 7}
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id: 1767079
{'charpoly_factorization': [[[20041, 66359, -46243, -266533, -7464, 338234, 74209, -150635, -50568, 18797, 8481, -527, -512, -25, 10, 1], 1]], 'hecke_orbit_code': 9007199288296629, 'p': 11}
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id: 1767080
{'charpoly_factorization': [[[17551, -147967, 338543, -65839, -515260, 279384, 295781, -130656, -97584, 12886, 13380, 533, -600, -60, 8, 1], 1]], 'hecke_orbit_code': 9007199288296629, 'p': 13}
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id: 1767081
{'charpoly_factorization': [[[574859, -320121, -8873889, -4178942, 13713675, -1949876, -4166233, 1301136, 318770, -142575, -8325, 6354, 31, -129, 1, 1], 1]], 'hecke_orbit_code': 9007199288296629, 'p': 17}
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id: 1767082
{'charpoly_factorization': [[[77731, 809612, 2324421, -517493, -8108117, -2092049, 4154115, 2719031, 365509, -163928, -64268, -5311, 1245, 332, 30, 1], 1]], 'hecke_orbit_code': 9007199288296629, 'p': 19}
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id: 1767083
{'charpoly_factorization': [[[-250937, -2404746, -5952482, -2008070, 7907583, 5596003, -2780084, -1782908, 465578, 190424, -42191, -6673, 1774, 0, -19, 1], 1]], 'hecke_orbit_code': 9007199288296629, 'p': 23}
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id: 1767084
{'charpoly_factorization': [[[116809, 1444420, 2156742, -4967005, -5690636, 5846919, 2834122, -1479824, -587012, 115385, 50624, -1474, -1684, -96, 12, 1], 1]], 'hecke_orbit_code': 9007199288296629, 'p': 29}
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id: 1767085
{'charpoly_factorization': [[[-21531245891, -28963912421, -7277745624, 6580310295, 4293208883, 527325092, -224629774, -69316528, -257675, 2111523, 199627, -20949, -3857, -25, 22, 1], 1]], 'hecke_orbit_code': 9007199288296629, 'p': 31}
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id: 1767086
{'charpoly_factorization': [[[3773372033, 6957819995, 2738896827, -1870786789, -1411958548, 43867218, 185888905, 14263131, -9871186, -931590, 244893, 22274, -2804, -241, 12, 1], 1]], 'hecke_orbit_code': 9007199288296629, 'p': 37}
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id: 1767087
{'charpoly_factorization': [[[-8686116791, 25706705, 6982555384, -3946869, -1963303989, -1752142, 241231053, 3919347, -13848678, -551203, 364207, 22080, -3833, -274, 13, 1], 1]], 'hecke_orbit_code': 9007199288296629, 'p': 41}
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id: 1767088
{'charpoly_factorization': [[[336240191, -1118496962, -1944490637, -230184430, 700690434, 227236965, -69195241, -35514290, 68267, 1675073, 148041, -25875, -3980, 19, 25, 1], 1]], 'hecke_orbit_code': 9007199288296629, 'p': 43}
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id: 1767089
{'charpoly_factorization': [[[176160469, -773316628, 932975726, 39726897, -627245293, 254029038, 62513397, -53471588, 6003789, 1737709, -379125, -1929, 4829, -213, -16, 1], 1]], 'hecke_orbit_code': 9007199288296629, 'p': 47}
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id: 1767090
{'charpoly_factorization': [[[27449089409, 46420605845, 12947198063, -9178972167, -4460444524, 340626657, 416308316, 23802894, -15487646, -1710840, 258136, 37343, -1829, -331, 4, 1], 1]], 'hecke_orbit_code': 9007199288296629, 'p': 53}
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id: 1767091
{'charpoly_factorization': [[[4073980277, -7992475897, -13867347235, 8771931181, 6949750202, -1353634751, -1038795356, -7377568, 47280836, 4065108, -700368, -110295, -209, 771, 50, 1], 1]], 'hecke_orbit_code': 9007199288296629, 'p': 59}
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id: 1767092
{'charpoly_factorization': [[[-416282129347, -678098169085, -185142686302, 97067002349, 43626834819, -1842137971, -2870977746, -243563701, 63595228, 11018266, -129888, -131627, -6871, 351, 41, 1], 1]], 'hecke_orbit_code': 9007199288296629, 'p': 61}
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id: 1767093
{'charpoly_factorization': [[[602438539877, 300283480954, -138660366045, -76008374965, 12123345606, 7334025707, -488828325, -343963403, 5757617, 8374646, 183371, -100588, -5722, 407, 43, 1], 1]], 'hecke_orbit_code': 9007199288296629, 'p': 67}
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id: 1767094
{'charpoly_factorization': [[[236049251731, -307080454775, 45530160689, 66050096733, -15674539666, -5255528626, 1238988951, 194332209, -40133269, -4077242, 630444, 51027, -4782, -351, 14, 1], 1]], 'hecke_orbit_code': 9007199288296629, 'p': 71}
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id: 1767095
{'charpoly_factorization': [[[-416966690521, 1397517898998, 421898973955, -460395694842, -172754523356, 12624963431, 9830267893, 350909714, -186927996, -12609062, 1604984, 133258, -6469, -601, 10, 1], 1]], 'hecke_orbit_code': 9007199288296629, 'p': 73}
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id: 1767096
{'charpoly_factorization': [[[-1484049491, 1325530706, 6921356479, -2271667975, -7268360498, -3309724089, -294317454, 157654518, 43678545, 1853596, -694144, -99115, -1525, 575, 44, 1], 1]], 'hecke_orbit_code': 9007199288296629, 'p': 79}
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id: 1767097
{'charpoly_factorization': [[[-43476792713, -47425742843, 182476469251, 63847221236, -46672086160, -16446086450, 2411914424, 1038480784, -13876991, -20756309, -333119, 176294, 3235, -690, -7, 1], 1]], 'hecke_orbit_code': 9007199288296629, 'p': 83}
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id: 1767098
{'charpoly_factorization': [[[2543711203, -15039262155, -11139090057, 29431433868, -1863608481, -5920891733, 241273554, 385699757, -3341523, -9999148, -51975, 114463, 1077, -570, -4, 1], 1]], 'hecke_orbit_code': 9007199288296629, 'p': 89}
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id: 1767099
{'charpoly_factorization': [[[-3592948942717, -3150077125084, 145904463222, 452074119218, 15308878746, -25989696058, -1294308146, 771986244, 38426924, -12734793, -543175, 116371, 3629, -544, -9, 1], 1]], 'hecke_orbit_code': 9007199288296629, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 3, 'label': '1205.2.a.c', 'level': 1205, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 101795000
{'hecke_orbit_code': 9007199288296629, 'n': 1, 'trace_an': 15}
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id: 101795001
{'hecke_orbit_code': 9007199288296629, 'n': 2, 'trace_an': 2}
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id: 101795002
{'hecke_orbit_code': 9007199288296629, 'n': 3, 'trace_an': -7}
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id: 101795003
{'hecke_orbit_code': 9007199288296629, 'n': 4, 'trace_an': 6}
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id: 101795004
{'hecke_orbit_code': 9007199288296629, 'n': 5, 'trace_an': -15}
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id: 101795005
{'hecke_orbit_code': 9007199288296629, 'n': 6, 'trace_an': -5}
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id: 101795006
{'hecke_orbit_code': 9007199288296629, 'n': 7, 'trace_an': -3}
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id: 101795007
{'hecke_orbit_code': 9007199288296629, 'n': 8, 'trace_an': 3}
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id: 101795008
{'hecke_orbit_code': 9007199288296629, 'n': 9, 'trace_an': 6}
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id: 101795009
{'hecke_orbit_code': 9007199288296629, 'n': 10, 'trace_an': -2}
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id: 101795010
{'hecke_orbit_code': 9007199288296629, 'n': 11, 'trace_an': -10}
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id: 101795011
{'hecke_orbit_code': 9007199288296629, 'n': 12, 'trace_an': -6}
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id: 101795012
{'hecke_orbit_code': 9007199288296629, 'n': 13, 'trace_an': -8}
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id: 101795013
{'hecke_orbit_code': 9007199288296629, 'n': 14, 'trace_an': -5}
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id: 101795014
{'hecke_orbit_code': 9007199288296629, 'n': 15, 'trace_an': 7}
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id: 101795015
{'hecke_orbit_code': 9007199288296629, 'n': 16, 'trace_an': -16}
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id: 101795016
{'hecke_orbit_code': 9007199288296629, 'n': 17, 'trace_an': -1}
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id: 101795017
{'hecke_orbit_code': 9007199288296629, 'n': 18, 'trace_an': -3}
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id: 101795018
{'hecke_orbit_code': 9007199288296629, 'n': 19, 'trace_an': -30}
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id: 101795019
{'hecke_orbit_code': 9007199288296629, 'n': 20, 'trace_an': -6}
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id: 101795020
{'hecke_orbit_code': 9007199288296629, 'n': 21, 'trace_an': -11}
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id: 101795021
{'hecke_orbit_code': 9007199288296629, 'n': 22, 'trace_an': -5}
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id: 101795997
{'hecke_orbit_code': 9007199288296629, 'n': 998, 'trace_an': 24}
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id: 101795998
{'hecke_orbit_code': 9007199288296629, 'n': 999, 'trace_an': -36}
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id: 101795999
{'hecke_orbit_code': 9007199288296629, 'n': 1000, 'trace_an': -3}