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{'Lhash': '54500986460624051795239455350,962991082485472173571712428513,1053189108442404267365428779196,1356129327675988926128748583086,1751884719050554011546808008999,2683172304651124269201190900263', 'a10': 18, 'a2': -6, 'a3': 3, 'a4': 21, 'a5': -3, 'a6': -18, 'a7': -4, 'a8': -56, 'a9': 3, 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 167710.53077407656, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [1, 6, 15, 20, 15, 6, 1]], [3, [1, -3, 6, -7, 6, -3, 1]], [5, [1, 3, 6, 7, 6, 3, 1]], [31, [1, -8, -28, 508, -868, -7688, 29791]]], 'bad_primes': [2, 3, 5, 31], 'central_character': '930.1', 'coefficient_field': '1.1.1.1', 'conductor': 646990183449000000, 'conductor_radical': 930, 'degree': 12, 'euler_factors': [[1, 6, 15, 20, 15, 6, 1], [1, -3, 6, -7, 6, -3, 1], [1, 3, 6, 7, 6, 3, 1], [1, 4, 0, -24, -32, 4, 46, 28, -1568, -8232, 0, 67228, 117649], [1, -5, 21, -58, 67, -89, -178, -979, 8107, -77198, 307461, -805255, 1771561], 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-
lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 167710.53077407656, 'bad_primes': [2, 3, 5, 31], 'central_character': '1.1', 'conductor': 646990183449000000, 'conductor_radical': 930, 'degree': 12, 'dirichlet_coefficients': [1, -6, 3, 21, -3, -18, -4, -56, 3, 18, 5, 63, -2, 24, -9, 126, -11, -18, -2, -63, -12, -30, 14, -168, 3, 12, -2, -84, 24, 54, 8, -252, 15, 66, 12, 63, 17, 12, -6, 168, -12, 72, -3, 105, -9, -84, 6, 378, 16, -18, -33, -42, 2, 12, -15, 224, -6, -144, -12, -189, -16, -48, -12, 462, 6, -90, -17, -231, 42, -72, 10, -168, 6, -102, 9, -42, -20, 36, -3, -378, -9, 72, 0, -252, 33, 18, 72, -280, -56, 54, 8, 294, 24, -36, 6, -756, 40, -96, 15, 63], 'euler11': [1, -5, 21, -58, 67, -89, -178, -979, 8107, -77198, 307461, -805255, 1771561], 'euler13': [1, 2, 5, -42, -26, 370, 4105, 4810, -4394, -92274, 142805, 742586, 4826809], 'euler17': [1, 11, 40, 119, 938, 4151, 12316, 70567, 271082, 584647, 3340840, 15618427, 24137569], 'euler19': [1, 2, 7, 130, 202, 1154, 16727, 21926, 72922, 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-100, 32, 5064, 3950, -272330, 209350, 14224776, 4764064, -789048100, -836390986, 22164361129], 'euler59': [1, 12, 12, -600, -3468, -996, 73942, -58764, -12072108, -123227400, 145408332, 8579091588, 42180533641], 'euler61': [1, 16, 350, 3744, 49543, 407312, 3955012, 24846032, 184349503, 849816864, 4846044350, 13513540816, 51520374361], 'euler67': [1, 17, 2, 75, 22306, 111901, -444914, 7497367, 100131634, 22557225, 40302242, 22952126819, 90458382169], 'euler7': [1, 4, 0, -24, -32, 4, 46, 28, -1568, -8232, 0, 67228, 117649], 'euler71': [1, -10, -105, 598, 14230, -30730, -1019077, -2181830, 71733430, 214030778, -2668226505, -18042293510, 128100283921], 'euler73': [1, -6, -195, 382, 31194, -33822, -2527707, -2469006, 166232826, 148604494, -5537656995, -12438429558, 151334226289], 'euler79': [1, 3, -192, -377, 23052, 21939, -2021670, 1733181, 143867532, -185875703, -7478415552, 9231169197, 243087455521], 'euler83': [1, 0, -72, -424, -792, 15264, 758246, 1266912, -5456088, -242437688, -3416999112, 0, 326940373369], 'euler89': [1, 56, 1758, 38104, 627151, 8145968, 85379204, 724991152, 4967663071, 26862138776, 110300859678, 312707329144, 496981290961], 'euler97': [1, -40, 744, -9108, 107512, -1426936, 16332838, -138412792, 1011580408, -8312625684, 65865785064, -343493610280, 832972004929], 'euler_factors': [[1, 6, 15, 20, 15, 6, 1, 0, 0, 0, 0, 0, 0], [1, -3, 6, -7, 6, -3, 1, 0, 0, 0, 0, 0, 0], [1, 3, 6, 7, 6, 3, 1, 0, 0, 0, 0, 0, 0], [1, 4, 0, -24, -32, 4, 46, 28, -1568, -8232, 0, 67228, 117649], [1, -5, 21, -58, 67, -89, -178, -979, 8107, -77198, 307461, -805255, 1771561], [1, 2, 5, -42, -26, 370, 4105, 4810, -4394, -92274, 142805, 742586, 4826809], [1, 11, 40, 119, 938, 4151, 12316, 70567, 271082, 584647, 3340840, 15618427, 24137569], [1, 2, 7, 130, 202, 1154, 16727, 21926, 72922, 891670, 912247, 4952198, 47045881], [1, -14, 199, -1670, 13415, -78056, 431026, -1795288, 7096535, -20318890, 55688359, -90108802, 148035889], [1, -24, 336, -3404, 27984, -192600, 1128014, -5585400, 23534544, -83020156, 237646416, -492267576, 594823321], [1, -8, -28, 508, -868, -7688, 29791, 0, 0, 0, 0, 0, 0], [1, -17, 92, -585, 8026, -47701, 179656, -1764937, 10987594, -29632005, 172422812, -1178847269, 2565726409], [1, 12, 69, 228, -1482, -28428, -221951, -1165548, -2491242, 15713988, 194977509, 1390274412, 4750104241], [1, 3, -84, -269, 3828, 7035, -154458, 302505, 7077972, -21387383, -287179284, 441025329, 6321363049], [1, -6, 111, -654, 8439, -45384, 522178, -2133048, 18641751, -67900242, 541644591, -1376070042, 10779215329], [1, -2, -100, 32, 5064, 3950, -272330, 209350, 14224776, 4764064, -789048100, -836390986, 22164361129], [1, 12, 12, -600, -3468, -996, 73942, -58764, -12072108, -123227400, 145408332, 8579091588, 42180533641], [1, 16, 350, 3744, 49543, 407312, 3955012, 24846032, 184349503, 849816864, 4846044350, 13513540816, 51520374361], [1, 17, 2, 75, 22306, 111901, -444914, 7497367, 100131634, 22557225, 40302242, 22952126819, 90458382169], [1, -10, -105, 598, 14230, -30730, -1019077, -2181830, 71733430, 214030778, -2668226505, -18042293510, 128100283921], [1, -6, -195, 382, 31194, -33822, -2527707, -2469006, 166232826, 148604494, -5537656995, -12438429558, 151334226289], [1, 3, -192, -377, 23052, 21939, -2021670, 1733181, 143867532, -185875703, -7478415552, 9231169197, 243087455521], [1, 0, -72, -424, -792, 15264, 758246, 1266912, -5456088, -242437688, -3416999112, 0, 326940373369], [1, 56, 1758, 38104, 627151, 8145968, 85379204, 724991152, 4967663071, 26862138776, 110300859678, 312707329144, 496981290961], [1, -40, 744, -9108, 107512, -1426936, 16332838, -138412792, 1011580408, -8312625684, 65865785064, -343493610280, 832972004929]], 'index': 0, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/930/2/i/n'], 'is_instance_Artin': False, 'is_instance_BMF': False, 'is_instance_CMF': True, 'is_instance_DIR': False, 'is_instance_ECNF': False, 'is_instance_ECQ': False, 'is_instance_G2Q': False, 'is_instance_HMF': False, 'is_instance_MaassGL3': False, 'is_instance_MaassGL4': False, 'is_instance_MaassGSp4': False, 'is_instance_NF': False, 'label': '12-930e6-1.1-c1e6-0-0', 'motivic_weight': 1, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [1, 1, 1, 1, 1, 1], 'order_of_vanishing': 0, 'prelabel': '12-930e6-1.1-c1e6-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 2.7250848405103056, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c1e6-0', 'trace_hash': 2079603321526398016, 'z1': {'__RealLiteral__': 0, 'data': '0.04299369751476599777834216751', 'prec': 103}}
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{'Lhash': '54500986460624051795239455350,962991082485472173571712428513,1053189108442404267365428779196,1356129327675988926128748583086,1751884719050554011546808008999,2683172304651124269201190900263', 'Lhash_array': ['54500986460624051795239455350', '962991082485472173571712428513', '1053189108442404267365428779196', '1356129327675988926128748583086', '1751884719050554011546808008999', '2683172304651124269201190900263'], 'factors': ['2-930-31.25-c1-0-0', '2-930-31.25-c1-0-5', '2-930-31.5-c1-0-3', '2-930-31.5-c1-0-8', '2-930-31.25-c1-0-13', '2-930-31.5-c1-0-19'], 'label': '12-930e6-1.1-c1e6-0-0', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/930/2/i/n'}