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{'Lhash': '1353391096989517242245701024731,1719884759354598066881680150686,1915249831215587213558588009041,1951038177799968550866925355859', 'a10': -80, 'a2': 8, 'a3': 0, 'a4': 40, 'a5': -10, 'a6': 0, 'a7': -28, 'a8': 160, 'a9': 0, 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 398071300.4187606, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '1.5', 'prec': 10}, 'bad_lfactors': [[2, [1, -8, 24, -32, 16]], [3, [1]], [7, [1, 28, 294, 1372, 2401]], [19, [1, -76, 2166, -27436, 130321]]], 'bad_primes': [2, 3, 7, 19], 'central_character': '2394.1', 'coefficient_field': '1.1.1.1', 'conductor': 32847066087696, 'conductor_radical': 798, 'degree': 8, 'euler_factors': [[1, -8, 24, -32, 16], [1], [1, 10, 238, 4134, 32450, 516750, 3718750, 19531250, 244140625], [1, 28, 294, 1372, 2401], [1, 64, 3316, 123904, 5405670, 164916224, 5874496276, 150908652224, 3138428376721], [1, -16, 3672, 102240, 4804510, 224621280, 17724042648, -169671989968, 23298085122481], [1, -78, 17910, 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{'algebraic': True, 'analytic_conductor': 398071300.4187606, 'bad_primes': [2, 3, 7, 19], 'central_character': '1.1', 'conductor': 32847066087696, 'conductor_radical': 798, 'degree': 8, 'dirichlet_coefficients': [1, 8, 0, 40, -10, 0, -28, 160, 0, -80, -64, 0, 16, -224, 0, 560, 78, 0, 76, -400, 0, -512, -64, 0, -138, 128, 0, -1120, -70, 0, -28, 1792, 0, 624, 280, 0, 224, 608, 0, -1600, -568, 0, 348, -2560, 0, -512, -886, 0, 490, -1104, 0, 640, -382, 0, 640, -4480, 0, -560, -552, 0, -744, -224, 0, 5376, -160, 0, 92, 3120, 0, 2240, -1154, 0, 508, 1792, 0, 3040, 1792, 0, -2320, -5600, 0, -4544, -1318, 0, -780, 2784, 0, -10240, 56, 0, -448, -2560, 0, -7088, -760, 0, -504, 3920, 0, -5520], 'euler11': [1, 64, 3316, 123904, 5405670, 164916224, 5874496276, 150908652224, 3138428376721], 'euler13': [1, -16, 3672, 102240, 4804510, 224621280, 17724042648, -169671989968, 23298085122481], 'euler17': [1, -78, 17910, -1058442, 129403250, -5200125546, 432303860790, -9249854366766, 582622237229761], 'euler19': [1, -76, 2166, -27436, 130321, 0, 0, 0, 0], 'euler2': [1, -8, 24, -32, 16, 0, 0, 0, 0], 'euler23': [1, 64, 32836, 2924032, 496820310, 35576697344, 4860906451204, 115273770333632, 21914624432020321], 'euler29': [1, 70, 68014, 3768714, 2286332690, 91915165746, 40456313354494, 1015500218310830, 353814783205469041], 'euler3': [1, 0, 0, 0, 0, 0, 0, 0, 0], 'euler31': [1, 28, 65312, 8588172, 1918827134, 255850232052, 57964640413472, 740309420498788, 787662783788549761], 'euler37': [1, -224, 72204, -12923936, 2388141494, -654636130208, 185255709635436, -29111429714097248, 6582952005840035281], 'euler41': [1, 568, 339996, 109219272, 36065218726, 7527501445512, 1615016441523036, 185952938735769848, 22563490300366186081], 'euler43': [1, -348, 221120, -77520348, 23130869102, -6163410308436, 1397779797394880, -174902228954021364, 39959630797262576401], 'euler47': [1, 886, 499738, 184411630, 63620607786, 19146168661490, 5386783510083802, 991549599169051562, 116191483108948578241], 'euler5': [1, 10, 238, 4134, 32450, 516750, 3718750, 19531250, 244140625], 'euler53': [1, 382, 351198, 119816226, 78712317234, 17837880278202, 7784079299782542, 1260509692068414806, 491258904256726154641], 'euler59': [1, 552, 540252, 142294632, 110754315542, 29224329225528, 22788117660617532, 4781973691897526328, 1779197418239532716881], 'euler61': [1, 744, 766476, 424025528, 256983471702, 96245738370968, 39489130458721836, 8700444693068600904, 2654348974297586158321], 'euler67': [1, -92, 770348, -18474108, 294017566550, -5556328144404, 69684433787124812, -2503001164459135124, 8182718904632857144561], 'euler7': [1, 28, 294, 1372, 2401, 0, 0, 0, 0], 'euler71': [1, 1154, 1779634, 1257983882, 1017583041306, 450246269190502, 227971620675464914, 52909169829090181774, 16409682740640811134241], 'euler73': [1, -508, 339596, 240622524, -98058305402, 93606252418908, 51392497910839244, -29906766047800099804, 22902048046490258711521], 'euler79': [1, 2320, 3031572, 2819439376, 2178063839126, 1390093570503664, 736937123708709012, 278055702679674500080, 59091511031674153381441], 'euler83': [1, 1318, 1644554, 1485476758, 1417408125898, 849376299026546, 537671098785482426, 246387256442618251154, 106890007738661124410161], 'euler89': [1, -56, 1287420, -360094152, 840144131878, -253855214241288, 639823653609010620, -19619958607619171704, 246990403565262140303521], 'euler97': [1, 504, 1214676, -1189293208, -134303448042, -1085435800024984, 1011791103059138004, 383156453561900869368, 693842360995438000295041], 'euler_factors': [[1, -8, 24, -32, 16, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0, 0, 0, 0], [1, 10, 238, 4134, 32450, 516750, 3718750, 19531250, 244140625], [1, 28, 294, 1372, 2401, 0, 0, 0, 0], [1, 64, 3316, 123904, 5405670, 164916224, 5874496276, 150908652224, 3138428376721], [1, -16, 3672, 102240, 4804510, 224621280, 17724042648, -169671989968, 23298085122481], [1, -78, 17910, -1058442, 129403250, -5200125546, 432303860790, -9249854366766, 582622237229761], [1, -76, 2166, -27436, 130321, 0, 0, 0, 0], [1, 64, 32836, 2924032, 496820310, 35576697344, 4860906451204, 115273770333632, 21914624432020321], [1, 70, 68014, 3768714, 2286332690, 91915165746, 40456313354494, 1015500218310830, 353814783205469041], [1, 28, 65312, 8588172, 1918827134, 255850232052, 57964640413472, 740309420498788, 787662783788549761], [1, -224, 72204, -12923936, 2388141494, -654636130208, 185255709635436, -29111429714097248, 6582952005840035281], [1, 568, 339996, 109219272, 36065218726, 7527501445512, 1615016441523036, 185952938735769848, 22563490300366186081], [1, -348, 221120, -77520348, 23130869102, -6163410308436, 1397779797394880, -174902228954021364, 39959630797262576401], [1, 886, 499738, 184411630, 63620607786, 19146168661490, 5386783510083802, 991549599169051562, 116191483108948578241], [1, 382, 351198, 119816226, 78712317234, 17837880278202, 7784079299782542, 1260509692068414806, 491258904256726154641], [1, 552, 540252, 142294632, 110754315542, 29224329225528, 22788117660617532, 4781973691897526328, 1779197418239532716881], [1, 744, 766476, 424025528, 256983471702, 96245738370968, 39489130458721836, 8700444693068600904, 2654348974297586158321], [1, -92, 770348, -18474108, 294017566550, -5556328144404, 69684433787124812, -2503001164459135124, 8182718904632857144561], [1, 1154, 1779634, 1257983882, 1017583041306, 450246269190502, 227971620675464914, 52909169829090181774, 16409682740640811134241], [1, -508, 339596, 240622524, -98058305402, 93606252418908, 51392497910839244, -29906766047800099804, 22902048046490258711521], [1, 2320, 3031572, 2819439376, 2178063839126, 1390093570503664, 736937123708709012, 278055702679674500080, 59091511031674153381441], [1, 1318, 1644554, 1485476758, 1417408125898, 849376299026546, 537671098785482426, 246387256442618251154, 106890007738661124410161], [1, -56, 1287420, -360094152, 840144131878, -253855214241288, 639823653609010620, -19619958607619171704, 246990403565262140303521], [1, 504, 1214676, -1189293208, -134303448042, -1085435800024984, 1011791103059138004, 383156453561900869368, 693842360995438000295041]], 'index': 7, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/2394/4/a/t'], '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': '8-2394e4-1.1-c3e4-0-7', 'motivic_weight': 3, '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}], 'nu_real_doubled': [3, 3, 3, 3], 'order_of_vanishing': 4, 'prelabel': '8-2394e4-1.1-c3e4-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 11.884888411497313, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c3e4-0', 'trace_hash': 2184459533309296365, 'z1': {'__RealLiteral__': 0, 'data': '1.06763732588920875700486098915', 'prec': 103}}
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{'Lhash': '1353391096989517242245701024731,1719884759354598066881680150686,1915249831215587213558588009041,1951038177799968550866925355859', 'Lhash_array': ['1353391096989517242245701024731', '1719884759354598066881680150686', '1915249831215587213558588009041', '1951038177799968550866925355859'], 'factors': ['2-2394-1.1-c3-0-82', '2-2394-1.1-c3-0-112', '2-2394-1.1-c3-0-123', '2-2394-1.1-c3-0-125'], 'label': '8-2394e4-1.1-c3e4-0-7', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/2394/4/a/t'}