Formats: - HTML - YAML - JSON - 2026-04-01T22:50:05.307767
Query: /api/lfunc_lfunctions/?_offset=0
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{'A10': 0, 'A2': 0, 'A3': -1, 'A4': 0, 'A5': 1, 'A6': 0, 'A7': -1, 'A8': 0, 'A9': 1, 'Lhash': '2259967728226960701', 'a10': [0.0, 0], 'a2': [0.0, 0], 'a3': [-0.5773502691896258, 0], 'a4': [0.0, 0], 'a5': [0.4472135954999579, 0], 'a6': [0.0, 0], 'a7': [-0.3779644730092272, 0], 'a8': [0.0, 0], 'a9': [0.3333333333333333, 0], 'algebraic': True, 'analytic_conductor': 157.62469359000755, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [1]], [3, [1, 1]], [5, [1, -1]], [7, [1, 1]], [47, [1, -1]]], 'bad_primes': [2, 3, 5, 7, 47], 'central_character': '19740.1', 'coefficient_field': '1.1.1.1', 'conductor': 19740, 'conductor_radical': 9870, 'degree': 2, 'euler_factors': [[1], [1, 1], [1, -1], [1, 1], [1, -4, 11], [1, 2, 13], [1, -2, 17], [1, -8, 19], [1, 6, 23], [1, -4, 29], [1, 0, 31], [1, 6, 37], [1, 10, 41], [1, 8, 43], [1, -1], [1, -12, 53], [1, -4, 59], [1, -2, 61], [1, 4, 67], [1, -14, 71], [1, -2, 73], [1, -12, 79], [1, 12, 83], [1, -10, 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'3.697968635931692', '4.729613798476490', '5.290276676660357', '5.814467789410470', '6.617315980725182', '6.896770886505467', '7.645790043411801', '8.380985778634206', '9.094238508152290', '9.677241799397962', '10.11729537100084', '10.45859509486307', '11.65795318247257', '11.79088418303377', '12.12894654957669', '12.92110751387441', '13.61316437863966', '14.04950494852126', '14.40796123881569', '15.25507191777748', '15.72198964122706', '16.32898053365595', '16.90208679028386', '17.03967219724189', '17.95342582124164', '18.13051037773931', '18.71544209418377', '19.49591323774360', '19.84222113419312'], 'prelabel': '2-19740-1.1-c1-0', 'primitive': True, 'rational': True, 'root_analytic_conductor': 12.554867326658915, 'root_angle': 0.0, 'root_number': '1', 'self_dual': True, 'spectral_label': 'c1-0', 'st_group': 'SU(2)', 'trace_hash': 2259967728226960701, 'z1': {'__RealLiteral__': 0, 'data': '0.6459217709594205', 'prec': 60}, 'z2': {'__RealLiteral__': 0, 'data': '1.459179571877598', 'prec': 57}, 'z3': {'__RealLiteral__': 0, 'data': '2.249238276512446', 'prec': 57}}