-
lfunc_lfunctions • Show schema
Hide schema
{'Lhash': 'dirichlet_L_287.108', 'a10': [-0.9135454576426009, -0.4067366430758002], 'a2': [-0.7431448254773942, 0.6691306063588582], 'a3': [-0.9659258262890683, -0.25881904510252074], 'a4': [0.10452846326765347, -0.9945218953682733], 'a5': [0.4067366430758002, 0.9135454576426009], 'a6': [0.8910065241883679, -0.4539904997395468], 'a7': [1.0, -2.8163065144692913e-30], 'a8': [0.5877852522924731, 0.8090169943749475], 'a9': [0.8660254037844386, 0.5], 'algebraic': True, 'analytic_conductor': 1.3328223966973418, 'analytic_normalization': 0, 'bad_lfactors': [[7, [1]], [41, [1]]], 'bad_primes': [7, 41], 'central_character': '287.108', 'coeff_info': ['x^120 - 1', '0.998629534754574 + 0.0523359562429438*I', '\\\\zeta_{120}'], 'conductor': 287, 'conductor_radical': 287, 'conjugate': 'dirichlet_L_287.194', 'degree': 1, 'dirichlet_coefficients': ['a^0', 'a^46', 'a^65', 'a^92', 'a^22', 'a^111', 0, 'a^18', 'a^10', 'a^68', 'a^113', 'a^37', 'a^81', 0, 'a^87', 'a^64', 'a^23', 'a^56', 'a^79', 'a^114', 0, 'a^39', 'a^76', 'a^83', 'a^44', 'a^7', 'a^75', 0, 'a^117', 'a^13', 'a^8', 'a^110', 'a^58', 'a^69', 0, 'a^102', 'a^112', 'a^5', 'a^26', 'a^40', 0, 0, 'a^6', 'a^85', 'a^32', 'a^2', 'a^31', 'a^9', 0, 'a^90', 'a^88', 'a^53', 'a^17', 'a^1', 'a^15', 0, 'a^24', 'a^43', 'a^116', 'a^59', 'a^34', 'a^54', 0, 'a^36', 'a^103', 'a^104', 'a^107', 'a^115', 'a^21', 0, 'a^93', 'a^28', 'a^50', 'a^38', 'a^109', 'a^51', 0, 'a^72', 'a^25', 'a^86', 'a^20', 0, 'a^60', 0, 'a^45', 'a^52', 'a^62', 'a^11', 'a^49', 'a^78', 0, 'a^48', 'a^73', 'a^77', 'a^101', 'a^55', 'a^27', 0, 'a^3', 'a^16'], 'euler_factors': [[1, 'a^46'], [1, 'a^65'], [1, 'a^22'], [0], [1, 'a^113'], [1, 'a^81'], [1, 'a^23'], [1, 'a^79'], [1, 'a^76'], [1, 'a^117'], [1, 'a^8'], [1, 'a^112'], [0], [1, 'a^6'], [1, 'a^31'], [1, 'a^17'], [1, 'a^116'], [1, 'a^34'], [1, 'a^107'], [1, 'a^93'], [1, 'a^50'], [1, 'a^25'], [1, 'a^60'], [1, 'a^49'], [1, 'a^27'], [1, 'a^119']], 'gamma_factors': [[0], []], 'index': 0, 'label': '1-287-287.108-r0-0-0', 'leading_term': '0.635266723364630455797330502712+0.267760527056322582871631955904*I', 'load_key': 'dirichlet', 'motivic_weight': 0, 'mu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'mu_real': [0], 'nu_imag': [], 'nu_real_doubled': [], 'order_of_vanishing': 0, 'origin': 'Character/Dirichlet/287/108', 'plot_delta': {'__RealLiteral__': 0, 'data': '0.3125', 'prec': 20}, 'plot_values': [0.6893906799949605, 0.7628220790411663, 0.6751139999348033, 0.15086675528572122, -0.8016144397602566, -1.8178054671279966, -2.2885690588769307, -1.6431614266792292, 0.29444705299322393, 3.070600712348554, 5.6755440798489545, 6.967507915908658, 6.2680517896476715, 3.7914890338360774, 0.6090601392660182, -1.8966656850169032, -2.7967977275436295, -2.124020752532734, -0.7734154390949967, 0.15801348111410016, 0.14120600237986947, -0.46498585369646767, -0.7916291340036615, -0.2508164067254612, 0.8941781754542472, 1.6749600398979356, 1.210718353787571, -0.48231335294824473, -2.3705717186562087, -3.1496674978993813, -2.2954343932203507, -0.5330560461126003, 0.736120120618075, 0.6294665556177989, -0.416998575515867, -1.0012408336858336, -0.04387378953176342, 2.083700855147849, 3.6584780083704604, 2.987914930246149, -0.038614138131086634, -3.6131320862290117, -5.308388321924921, -4.0069132265878995, -0.8253197591398331, 1.8004788511515246, 2.1160950934976124, 0.4135850898535072, -1.4046079037321315, -1.613388353541899, -0.15265330994958834, 1.506709141191101, 1.8853725550232865, 0.8775775370196975, -0.325939485975506, -0.5939987007325558, -0.025713891972129185, 0.2922486188913582, -0.356627729904507, -1.3785818901021258, -1.4828762382974063, -0.29435512669486863, 0.8131004073946859, -0.1956297087387477, -3.858729328523814, -8.16358836724871, -9.918098832222677, -7.508579347386741, -2.4736057118404173, 1.7160878758873865, 2.63112046454086, 0.8323843989906015, -1.0091418029647325, -0.8536439695325654, 0.8632263536745437, 2.0292282621571713, 1.2884619648649793, -0.5284460490490557, -1.4339139557982128, -0.5422398810146863, 0.9659954909831541, 1.2154528803322306, -0.2239543095058167, -1.8428952043641968, -1.8988489879554062, -0.38636777211050427, 0.9754122378547064, 0.7315307250709433, -0.6309738307278334, -1.2810978573811438, -0.25845596325709247, 1.2922882549835646, 1.4063519649524157, -0.3079403655980413, -2.025998162359551, -1.7900822244097765, -0.07457608866376941, 0.25079440831219957, -3.0940346402390055, -8.937225331766193, -13.180993393905137, -12.492844806275787, -7.47528305441384, -2.044415194839135, 0.3040732369957817, -0.5389059000045334, -1.9651192042139285, -1.8159370083993924, -0.41361411777835055, 0.5057417392944599, 0.23268344239351443, -0.18880375156523255, 0.3566802813159038, 1.3435175361873082, 1.2025956434219705, -0.47931422027482395, -2.063452144063219, -1.6591612412145123, 0.4437533246390963, 1.8342617704957733, 0.7657778045741143, -1.5675668877515678, -2.195971756343738, 0.10384956570695536, 3.036809117987138, 3.093894417037245, -0.4827175145294592, -4.622162696830944, -5.609354244155671, -2.9998871592899823, 0.13793462285906832, 0.8065330525049067, -0.7433399217280875, -1.8243552814638604, -0.8671428131096636, 0.7050996605583033, 0.4664725056136064, -1.7779449607858235, -3.5926618565924984, -2.824165076825416, -0.18777830799252876, 1.6348092808243047, 1.1707974964100878, -0.35556142167934546, -0.8969782381840101, -0.19929935499452117, 0.23917094516234816, -0.40232539029287906, -0.9543748173327489, -0.03464872307930325, 1.4747449674005961, 0.9661664824964499, -2.434539524797639, -5.8046100451018114, -4.969700241673795, 0.7183116680899124, 6.980952002782834, 8.677684883766807, 5.028064449361557, 0.1459217189160037, -1.5986238362785812, 0.02648565921396378, 1.7748307936435737, 1.2620830056597123, -0.49247003792488175, -1.0316256520967269, 0.13421953277881166, 1.1651313383705364, 0.6738324196815754, -0.39101652012660154, -0.29991620991437046, 0.806429377826573, 1.040429509760953, -0.3818650857960107, -1.5883185687134553, -0.27128109209938317, 3.0332247719668968, 5.110742994355344, 3.8455369617638477, 0.869085321001277, -0.47520719490965635, 0.6325496618597579, 1.5582956882824635, -0.10050944908698262, -3.020350145167604, -3.5991425660883603, -0.6852866917596026, 2.556636044699009, 2.3151979368512867, -1.1270802954145753, -3.5983009013904232, -2.027838837150786, 1.961220673221523, 4.1946625294145425, 2.9109882657384656, 0.343456910822275, -0.6062801417474856, 0.11512090683712095, 0.42586842370008915, -0.5099449657563444, -1.1662696704197988, -0.15690515406907074, 1.5107111839319163, 1.7945398528967156, 0.5891253689812661, -0.14805048447438068, 0.5364152418056188, 0.8561551631084943, -1.1667502967038705, -4.150888251916694, -4.193409256609336, 0.1253374684644862, 4.926792699211343, 4.743069081791492, -1.1630595275030877, -7.588421518005925, -9.006444143441119, -5.33444418646372, -1.1488859650111634, 0.07011624424066887, -0.7300349754228359, -0.7840938144029703, 0.3234973514058843, 0.6705554516394694, -0.4803079598072472, -1.2008631583901457, 0.28485908666983156, 2.6729381894857625, 3.0101120615138828, 0.6831935118309141, -1.6389008888831136, -1.5334226341879762, 0.054737303911545965, 0.4114918519088293, -1.0084460989732615, -1.9783972121622224, -1.0294469457260789, 0.18135394206469946, -0.6250029261806127, -2.483753797880124, -1.9064901558707839, 2.179810985177306, 6.068346842033122, 5.383474040894576, 0.7335910541769638, -2.673753936152295, -1.3534059987893678, 2.2385678137632405, 3.014766349752684, -0.2994476851030735, -3.8897872209350046, -3.9818303588253965, -1.322030520575284, 0.5473033110506589, 0.15129303036783606, -0.6728685424969706, -0.14643448465925377, 0.8992946354076401, 0.8065791201443293, -0.06341147231940994, -0.055361652407803455, 0.7227686268980446, 0.17023956880334148, -2.3207839989356867, -3.9476078362411644, -1.809616770458391, 2.634429335157876, 4.593911336204323, 1.895926994567244, -1.956731613881277, -2.1043938605058807, 1.4386371843219576, 3.9522301236804784, 2.3431582821208354, -0.9230073265991753, -1.4538638630315366, 1.096332742335711, 2.883785146376656, 1.3833985374000084, -1.3479048741243933, -1.9488789401469724, -0.49383131754385556, 0.08353001387515005, -1.3496266892873061, -2.435026023772594, -0.9890010425268704, 1.5784438547874982, 2.2040433090477336, 0.5434903945313904, -0.7064532722625096, 0.10927754124339902, 1.303599637997079, 0.683098496903792, -0.9756546241630346, -1.220637548032369, 0.07827785904911833, 0.5141080167232153, -0.5644361540114515, -0.0043333201442132974, 4.808523748745379, 10.795975164316097, 11.296341879483348, 3.993718322680767, -5.450654664125092, -9.318094545344081, -6.142390126908408, -1.189410905272031, 0.6767963231555852, 0.02099920759494762, 0.06794877160068119, 1.4228992527317668, 1.9129835990911588, 0.692801343620916, -0.31009203667516105, 0.35468041285425694, 1.2429594345570272, 0.4408194159815814, -1.0642821384862322, -0.6628463958370383, 1.6761342691837202, 2.9332848160778062, 1.4452191332567008, -0.4219637025205686, 0.23804337740067297, 2.1828008323186343, 1.4611503294389405, -2.5897790366131135, -5.589045379477147, -3.729916231537945, 0.9051896397766132, 3.0203757437289824, 1.1723219637914453, -0.7055072287858932, 0.7108152276950153, 3.4237149186916502, 3.373155338228118, 0.6240411263051058, -0.6890238619159557, 1.52867382000141, 4.221906216553043, 3.5440912317775477, 0.2021550214571592, -1.820844376988814, -0.8655539638007761, 0.7195926895191939, 0.620992343025833, -0.3141960533299973, -0.29190555767045623, 0.15328045170269466, -0.6176430743792265, -1.8878807680700391, -1.1617415768638641, 1.5660317796890033, 2.9168082920814715, 1.0578070940293225, -0.6836489385457454, 2.0953223764824873, 8.032228181967291, 10.535386175521989, 6.038708925898258, -1.0201504877646863, -3.584184993619851, -0.6007082428228372, 2.5782563783867, 1.8509953767645533, -0.863328239226086, -1.5712116162498873, -0.07240937152025131, 0.6889897291974343, -0.33478461983310587, -1.0975909169637859, -0.384254420833094, 0.09227208116768883, -1.0710705869266033, -1.9715130083804882, -0.06228689650384532, 3.4031438777510266, 4.4544660275222485, 1.950819284201152, -0.7208835233286861, -0.5360781517058704, 1.0382207746818741, 0.8734900547801066, -0.6795176364521103, -0.6076887654378079, 1.2605239935235146, 1.1803902151249004, -2.662013300632406, -6.203146929267135, -4.369610721176153, 1.5266732087208865, 4.785603998636588, 1.945545343667377, -2.864893017085434, -3.772912754764616, -0.7105735917323648, 1.6351809152910195, 0.9244990490114661, -0.33322306408338903, 0.40682549066947676, 1.811089200000428, 1.3854062670567573, -0.2763825632245115, -0.655511373615399, 0.4394483430392223, 0.7400850269241829, -0.45911209514676826, -1.1253982951059291, -0.26565969159910235, -0.03926748398290723, -1.9346095890555581, -3.0185438470774573, 0.5774136645209538, 7.036123909137742, 9.541355575425461, 4.846441940813995, -1.9367595431772333, -3.599351417481439, 0.16971859116246463, 3.321041347528329, 2.1016500744568307, -0.7101149503754589, -1.0938451995569478, 0.35537267724718913, 0.5609267554712751, -0.3914868113588512, 0.47385373135904607, 3.5776834857148185, 5.366923773227857, 3.4871974404406965, 0.3849222114566348, -0.37844664976395426, 0.734197148712872, 0.5963001480735667, -1.2743837728424339, -2.116410846843371, -0.7290347920491841, 0.4773378217361964, -0.38154081762671355, -1.3628858228571301, -0.035136085123225295, 1.9575043018700182, 1.1517884019671292, -1.679604268984034, -1.7799924665519753, 2.278081029168783, 5.312932239198084, 2.3663976826515056, -3.7058709381301727, -5.397631690323738, -0.566591837205877, 4.811226258857061, 4.817984695293798, 0.85581703531774, -1.6126417872888967, -0.8126864801010709, 0.39451939768395183, 0.05733534491917709, -0.4036246902215471, 0.21732580973641238, 0.45501314543207877, -0.8734515341817706, -1.9828931610549914, -0.9940458947709967, 0.36167471913428106, -0.8724999974347687, -3.637197084613214, -3.6669563395229776, -0.014287631953453124, 2.8710319084994467, 1.4412412621663462, -1.6766228557082266, -1.8557249722453844, 0.16004328543621435, -0.6546063291055874, -5.406341475128133, -8.711468799241539, -6.128343537507615, -0.5404021572766485, 2.047904836018418, 0.737966541980937, -0.24933083696897362, 1.118610933204656, 1.8966619595436485, -0.268574950938008, -2.8074512277843366, -2.1979520047679677, 0.4035921599188248, 1.0203892807181314, -0.9416139975104667, -2.1022710773004674, -0.6882938767761635, 0.9632398615156244, 0.621739344014514, -0.3895372356045984, -0.10826549032146894, 0.3867083488154942, -0.7366037127842324, -1.9900545912903462, -0.7720958074614438, 0.9435685464888476, -2.1913116560812376, -10.515150264078677, -16.34931628839572, -12.775447212876823, -2.897504096603947, 3.748982143401889, 2.937310852837761, -0.5176606554214414, -1.0125561245964163, 0.6204920770266267, 0.5361068622109925, -1.2745878778449407, -1.670669804231632, -0.14115797343628173, 0.5192036620343682, -0.7253499320117726, -1.4356428907322802, -0.17118447423383176, 0.8646787827489211, -0.23337876674875468, -1.4194993590719494, -0.01791427748399807, 2.359039971305456, 1.9928603527761914, -0.7281322787150667, -1.4827806489574842, 1.1006660819145504, 2.947265705909575, 0.9071705707600028, -2.0701294752756656, -1.542929285338096, 1.258826072029148, 1.4263083022230563, -1.4714448338263564, -2.3700688488696953, 1.0957924557468055, 4.185423246499233, 1.863400248190343, -3.4677118346721536, -5.285441432008049, -2.2011193156110758, 0.7885068216598738, 0.13610575843705797, -1.8159525937437562, -1.66853613415067, -0.20134451577075277, 0.014350061459144697, -0.6725013576437894, -0.22481186973319764, 0.8434536493156124, 0.3285958371079608, -1.2079947103194126, -0.8622056796747113, 1.3602693091119478, 1.8026053387005814, -0.7956430562211977, -2.507834153273727, -0.50260326176838, 1.2128868776437756, -3.003101938855873, -11.039015259744277, -14.27995827834621, -8.918078331716927, -1.0598250708830832, 1.7487309739006736, -0.09158773193963084, -0.9837823297241908, 0.8354708350075113, 2.0339441061306682, 0.8569046504328094, -0.2303280867831482, 0.5018103237731371, 1.0423812309352747, -0.14208754349185346, -0.5963810978965177, 2.1212925066276673, 5.524850928031903, 5.234152372596357, 1.5721653715801578, -0.9752139903060781, -0.5266891903311867, 0.21733924724664538, -0.5800666851704582, -0.863896215274026, 0.8242394709441981, 1.830722678097814, -0.12103461826035827, -1.956764811253988, 0.5081073662094189, 4.896534942339212, 4.352104937234197, -2.243151376123853, -7.538870488919818, -5.60313179643412, -0.020711245781480314, 1.7578578643681213, -1.1236380669398178, -3.1655867377386206, -1.6623366996487166, 0.03467696911256356, -0.9897608703069147, -2.615780960311857, -1.9307757429586638, -0.11980481451685984, 0.12498298735725148, -0.7026071465497777, -0.44925113230540603, 0.4041479477813651, -0.034448432855426085, -0.6874523590120052, 1.1682953117270025, 4.242817405705702, 3.739164024702073, -1.0315188590278883, -4.195674938011478, -1.4977009388109563, 2.93677623367501, 2.4003855889661088, -2.4353134517417105, -4.771048949344351, -2.010592667054726, 1.051484944885635, 0.5073952631479508, -0.8226487688239236, 1.0029566263647953, 4.048904998034493, 3.785787777205516, 0.7107454527044186, -0.5818826101046212, 0.9870000839413648, 1.5793379090048965, -0.7713837847845088, -2.909920379196907, -2.0291419742475933, -0.15711681275844383, -0.2173113933404929, -0.986970040029463, 0.24659267026566536, 2.394443495081954, 2.2566916100287444], 'positive_zeros': ['0.99558747741666631332953594525', '2.46216272606600033776044940149', '4.43889342984481630996833764105', '5.855711366273656441149899726330', '6.33580537669473955272562545550', '7.26305169742838026608852457671', '8.36140296366168366882069121836', '9.78943912084811621408687116410', '10.50920549797929808251408814436', '11.2577803444281657661898806699', '12.49675243991713868814874959459', '13.830246212738966083380868812057', '14.74830866145148784928163391955', '15.650466294731553218482349505806', '16.773139787591514129660721812826', '17.51259205369313121106961253779', '18.00444014859598540692988609519', '19.12448851283156273090359626280', '19.661377516094492407694500611073', '21.41077635918230026016941327381', '22.30380501505429545337267464922', '22.98087356053625958918423020944', '23.97033439998207574775244522281', '24.79299095463666951923351769282', '25.5874515848672068338451893377', '26.63166199431950448080766773829', '27.36163493929664803810161834282', '28.17347772998676087628902250237', '29.01717704809058283928241643422', '30.01512560986752140787253349203', '30.35949563960340402717055737150', '32.40544119306007136569823193434', '32.69834191329247648860970755227', '33.84826757568224560405181087193', '34.49727513100906882938129693994', '34.86868677580450680005512507661', '35.86289499955272465232503620616', '36.81376147728862156867242830630', '37.6025530065453160258436340945', '38.42743734717533288639478440697', '39.341759975186447316102595272472', '40.60598236606127140693870727346', '41.12265467510328537052301328853', '42.028738948919413016694643361771', '42.58257446521829732340588758997', '43.77217967262191838380306659991', '44.60888651920757104891378144726', '45.391215441970144265599037042825', '45.78994626740529335605542618927', '46.56926210550470307051430403631', '47.299951936465395104975106506128', '48.40505491252346415540779803991', '49.69980977181230334335894307825', '50.30891793456152423646967474653', '51.157031773943823167372932821754', '51.846734877327874610011109688484', '52.6800450388655990440444890863', '53.21936893959995650890043337425', '53.99565797080450343841401182921', '54.71760124677561557661024433519', '56.06199349104542163344943477350', '56.4341011027651991854438608910', '57.17633895197625804697019346584', '58.1804679605443297344126765376', '58.97077959501128779699945900016', '59.849249951528114290455757630697', '60.99458154980674470017383347567', '61.52231841485444713764278375561', '62.048239961309090571957645096582', '62.84083352694743120942894020933', '63.9224747874728601452511272609', '64.186435897405029553934475678287', '64.86534701781125437667429299286', '65.93045001296010066290690337098', '66.82480441308006564127046138469', '68.324495295089957668267656790309', '68.48845454877881597166639396526', '69.28831604513289035756569493197', '69.89311990575563844052431407205', '70.58708557446396892442891257750', '71.63692370429666417226963013950', '72.48762543554700822141852301994', '72.93018873979635655254632561168', '73.98001818758586249535522987227', '74.24176551935720687825806539717', '75.16804911793482981785466010308', '76.29709972228994406156867359024', '76.99088246335185151450835589162', '77.79071669172718643152145836946', '78.92353757126443871721811879288', '79.41890180710347921528821279257', '80.03990355971162956960527780876', '80.90899915223474028436099176684', '81.27500973324023689321166494388', '81.90402922597506030616242232224', '82.941515792751629793583266179178', '83.887667599546330383349495793665', '84.57537744559922378658118616606', '85.52471895071936460800937676176', '86.13443829755921934377256531804', '87.02287010230586522285881947957', '87.939966949658812242900777392917', '88.16141214087208228776230283317', '89.177304332549451770717515271949', '90.09171075406097995613808837412', '90.60174883422181368485249881470', '91.3747643931212219608934304819', '92.16892538751221066992995270050', '92.66454541138916513103149835102', '93.12551275189967512949244025951', '94.49938066171763177581815351798', '95.74694361699906220867985592012', '96.25894995229630717986556196570', '96.53832393195366428598092409378', '97.6598324960240155256709940488', '98.025596898852632847536144196017', '98.83239298069019613314422590340', '99.47668676283693159747729881386', '100.5221066488199491607801573830', '100.896116313748488200157817410229', '101.69310174278085352107348577335', '102.74830288494303360452443832080', '103.582709617135229071192914806514', '103.97469888776984371786569174745', '105.0772559228023619848790150599', '105.45941114575788051376289441073', '106.5817832513293265351477837905', '107.33376287088420108182240297375', '108.00464985928079884988023954701', '108.59294977789884946533108875620', '108.88706611380084110993199098804', '109.83043301433634769361071357842', '110.75540092203804833503522956085', '111.08888953625154909019973548386', '112.44770216776781085550974261865', '113.170311951924538577191582676629', '113.95568455391535004295555493450', '114.70168421482506501302368642577', '115.23435360090269269811906626956', '116.07497247821610809600231876197', '116.30346486468341410921842560846', '117.1933968094820980009265323530', '118.32356250522021040324502672167', '118.85154885471992773801542565869', '119.5462517479906433814082577097', '120.11104686371368246667397863429', '120.74896199251431906493910534661', '121.79586293801160620556913058193', '122.61682471203139285597812552037', '123.50321231378629400906442692080', '124.24972252709599475263633860549', '124.5979356625038132476098225080', '125.56701733791240385504668026964', '126.13565908964171715113863520840', '126.772563496114382871437056876624', '127.59252247368293383676856178672', '127.798401872422096939563825643989', '128.71876962143801570085672663063', '129.89737840136923461404387908151', '130.6134696116542140189360564100', '131.46859964762212203716484778027', '132.10744721428623629277719409919', '132.670854597419862502012523167365', '133.051188640061765352390527901549', '134.43499237510240055324115978426', '134.80827038968495913945481785886', '135.42652153106752985725239270021', '136.38470180130635294748097198007', '136.79122365442870121151068532009', '137.50476794704904222865713869598', '138.25209670577448878976451739656', '138.91079107654276791457743731800', '139.80713299413761750740467021317', '140.65232807830284277902568588017', '141.633613611543375983490804441774', '142.35623818818761288211007883731', '142.835288427612435160262736122642', '143.35603625845025473973895182649', '143.89218940890296322379712749776', '144.8729430437842521176021967784', '145.185030057450257371166550889988', '146.251056656983235131192833147751', '147.00784140810879039690022453787', '147.78010612852786386352001692547', '148.048170067456597814830296857421', '149.41136251915274020550887475010', '150.14087148433601884934722032968', '150.412194744126652552856821793143', '151.22276831489827158335505078292', '152.13372500262258432943803400599', '152.68328231695889993024110857156', '153.540759070195856473956820333042', '154.22658685555094714762027593614', '154.72873414086448233317580602493', '155.16301333246756152315239251468', '156.04051327205171535794541958367', '156.42665884553484785485985190745', '157.91303050460604354568744984295', '158.691521327293445543376936269', '159.2518324850899367944620745535', '159.788031322003845317411993768812', '160.65359098331296218514902337508', '161.100254359625952864409600172291', '161.906859537596024847172584604695', '162.45785329299035955761143581264', '163.127192341045217533405803497057', '163.97834399783035030194443562485', '164.57788818321931586604176513903', '165.3934786225296009123210610161', '166.10474061189868715869772688746', '166.72842267964101580161734432315', '167.422548368414567235451676937588', '168.234100237422014146393728764548', '169.2541352090651854256080204747', '169.70788405518118605523914034111', '170.69270341186661955751975253329', '170.944904090134218514421102896318', '171.621321170442648417140776901393', '172.252679106026256085446343626207', '172.94107040411425798419587641866', '173.66961282380538952632951851400', '174.42768652505597558130270410871', '174.840656115969847970247761850241', '176.310450996508760509414865305535', '176.86229761915097821509060570702', '177.38243109522766080886921209814', '178.31085778404988287052496730312', '178.604831087802353434487703361750', '179.34527343810834634219828290599', '179.79604822871226110953410154695', '181.08322300216725504324180370928', '181.71168342681741234293547696921', '182.01289574199034687798845061088', '182.68607760446594351766766988519', '183.42399406844110132958138438022', '184.02588291998476426465774547689', '184.90730076484503323077728906803', '185.93890527355641535093927197664', '186.46290086556877354660548917128', '187.47866667990598879240493506674', '187.59743436573893164717220644346', '188.781427621893827963694761916528', '189.11315648200011759528800571102', '189.8283422796968600562573408930', '190.30213920616871811183543347400', '190.80187974315698947203478317757', '191.81429956411755123156844748085', '192.59295724558933788870297712611', '193.288707456046655242794080974642', '194.23135975724549061838126229876', '194.77168947982556113360588381769', '195.2045794898446938042857132480', '196.33778221952586235410262371384', '196.71310656119132361101996868139', '197.41923340746913946390090678665', '198.49257134892118094384588780154', '198.66526629057137981213430748033', '199.33959762589800134775352348257'], 'prelabel': '1-287-287.108-r0-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.3328223966973418, 'root_angle': 0.25394540394996423, 'root_number': '0.698288205110591992288438122531+0.715816724171367630266115400838*I', 'self_dual': False, 'sign_arg': {'__RealLiteral__': 0, 'data': '0.126972701975', 'prec': 47}, 'spectral_label': 'r0-0', 'st_group': 'mu(120)', 'symmetry_type': 'unitary', 'types': ['DIR'], 'values': [[1, '0.624733983873863358640617026910+0.182999033847419208910307145453*I']], 'z1': {'__RealLiteral__': 0, 'data': '0.995587477417', 'prec': 47}, 'z2': {'__RealLiteral__': 0, 'data': '2.46216272607', 'prec': 44}, 'z3': {'__RealLiteral__': 0, 'data': '4.43889342984', 'prec': 44}}
-
lfunc_search • Show schema
Hide schema
{'algebraic': True, 'analytic_conductor': 1.3328223966973418, 'bad_primes': [7, 41], 'central_character': '287.108', 'conductor': 287, 'conductor_radical': 287, 'degree': 1, 'index': 0, 'instance_types': ['DIR'], 'instance_urls': ['Character/Dirichlet/287/108'], 'is_instance_Artin': False, 'is_instance_BMF': False, 'is_instance_CMF': False, 'is_instance_DIR': True, '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': '1-287-287.108-r0-0-0', 'motivic_weight': 0, 'mu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'mu_real': [0], 'nu_imag': [], 'nu_real_doubled': [], 'order_of_vanishing': 0, 'prelabel': '1-287-287.108-r0-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.3328223966973418, 'root_angle': 0.12697270197498212, 'self_dual': False, 'spectral_label': 'r0-0', 'z1': {'__RealLiteral__': 0, 'data': '0.995587477417', 'prec': 47}}
-
lfunc_instances • Show schema
Hide schema
{'Lhash': 'dirichlet_L_287.108', 'Lhash_array': ['dirichlet_L_287.108'], 'label': '1-287-287.108-r0-0-0', 'type': 'DIR', 'url': 'Character/Dirichlet/287/108'}