Properties

Label 230.2.l.a.227.11
Level $230$
Weight $2$
Character 230.227
Analytic conductor $1.837$
Analytic rank $0$
Dimension $240$
Inner twists $4$

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Show commands: Magma / Pari/GP / SageMath

Newspace parameters

Copy content comment:Compute space of new eigenforms
 
Copy content gp:[N,k,chi] = [230,2,Mod(7,230)] mf = mfinit([N,k,chi],0) lf = mfeigenbasis(mf)
 
Copy content magma://Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code chi := DirichletCharacter("230.7"); S:= CuspForms(chi, 2); N := Newforms(S);
 
Copy content sage:from sage.modular.dirichlet import DirichletCharacter H = DirichletGroup(230, base_ring=CyclotomicField(44)) chi = DirichletCharacter(H, H._module([11, 38])) N = Newforms(chi, 2, names="a")
 
Level: \( N \) \(=\) \( 230 = 2 \cdot 5 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 230.l (of order \(44\), degree \(20\), minimal)

Newform invariants

Copy content comment:select newform
 
Copy content sage:traces = [] f = next(g for g in N if [g.coefficient(i+1).trace() for i in range(0)] == traces)
 
Copy content gp:f = lf[1] \\ Warning: the index may be different
 
Self dual: no
Analytic conductor: \(1.83655924649\)
Analytic rank: \(0\)
Dimension: \(240\)
Relative dimension: \(12\) over \(\Q(\zeta_{44})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{44}]$

Embedding invariants

Embedding label 227.11
Character \(\chi\) \(=\) 230.227
Dual form 230.2.l.a.153.11

$q$-expansion

Copy content comment:q-expansion
 
Copy content sage:f.q_expansion() # note that sage often uses an isomorphic number field
 
Copy content gp:mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(0.599278 - 0.800541i) q^{2} +(0.194360 + 0.521099i) q^{3} +(-0.281733 - 0.959493i) q^{4} +(0.398761 + 2.20022i) q^{5} +(0.533637 + 0.156690i) q^{6} +(0.111632 - 0.513165i) q^{7} +(-0.936950 - 0.349464i) q^{8} +(2.03348 - 1.76202i) q^{9} +(2.00034 + 0.999321i) q^{10} +(5.19978 + 0.747615i) q^{11} +(0.445233 - 0.333298i) q^{12} +(1.28745 - 0.280068i) q^{13} +(-0.343911 - 0.396895i) q^{14} +(-1.06903 + 0.635430i) q^{15} +(-0.841254 + 0.540641i) q^{16} +(-0.927505 + 0.506456i) q^{17} +(-0.191951 - 2.68382i) q^{18} +(-7.10873 + 2.08731i) q^{19} +(1.99876 - 1.00248i) q^{20} +(0.289107 - 0.0415673i) q^{21} +(3.71461 - 3.71461i) q^{22} +(-4.78960 + 0.244437i) q^{23} -0.556166i q^{24} +(-4.68198 + 1.75473i) q^{25} +(0.547335 - 1.19850i) q^{26} +(2.77782 + 1.51680i) q^{27} +(-0.523829 + 0.0374650i) q^{28} +(2.19483 - 7.47492i) q^{29} +(-0.131959 + 1.23660i) q^{30} +(-0.970886 - 2.12594i) q^{31} +(-0.0713392 + 0.997452i) q^{32} +(0.621047 + 2.85491i) q^{33} +(-0.150394 + 1.04601i) q^{34} +(1.17359 + 0.0409855i) q^{35} +(-2.26354 - 1.45469i) q^{36} +(0.636324 + 0.0455108i) q^{37} +(-2.58912 + 6.94171i) q^{38} +(0.396172 + 0.616456i) q^{39} +(0.395280 - 2.20085i) q^{40} +(-4.77453 + 5.51010i) q^{41} +(0.139979 - 0.256352i) q^{42} +(-8.96907 + 3.34529i) q^{43} +(-0.747615 - 5.19978i) q^{44} +(4.68772 + 3.77149i) q^{45} +(-2.67462 + 3.98076i) q^{46} +(-8.00971 - 8.00971i) q^{47} +(-0.445233 - 0.333298i) q^{48} +(6.11655 + 2.79333i) q^{49} +(-1.40107 + 4.79969i) q^{50} +(-0.444184 - 0.384887i) q^{51} +(-0.631441 - 1.15640i) q^{52} +(1.37435 + 0.298972i) q^{53} +(2.87895 - 1.31477i) q^{54} +(0.428549 + 11.7388i) q^{55} +(-0.283927 + 0.441798i) q^{56} +(-2.46935 - 3.29866i) q^{57} +(-4.66867 - 6.23661i) q^{58} +(2.55877 - 3.98152i) q^{59} +(0.910872 + 0.846707i) q^{60} +(8.94703 - 4.08597i) q^{61} +(-2.28374 - 0.496796i) q^{62} +(-0.677206 - 1.24021i) q^{63} +(0.755750 + 0.654861i) q^{64} +(1.12960 + 2.72100i) q^{65} +(2.65765 + 1.21371i) q^{66} +(-3.04461 - 2.27917i) q^{67} +(0.747249 + 0.747249i) q^{68} +(-1.05828 - 2.44835i) q^{69} +(0.736119 - 0.914948i) q^{70} +(-1.06605 - 7.41456i) q^{71} +(-2.52103 + 0.940296i) q^{72} +(-5.95574 + 10.9071i) q^{73} +(0.417768 - 0.482130i) q^{74} +(-1.82438 - 2.09873i) q^{75} +(4.00552 + 6.23271i) q^{76} +(0.964113 - 2.58489i) q^{77} +(0.730916 + 0.0522761i) q^{78} +(5.14789 + 3.30835i) q^{79} +(-1.52499 - 1.63536i) q^{80} +(0.898263 - 6.24755i) q^{81} +(1.54979 + 7.12428i) q^{82} +(-0.308617 + 4.31503i) q^{83} +(-0.121334 - 0.265685i) q^{84} +(-1.48417 - 1.83876i) q^{85} +(-2.69692 + 9.18487i) q^{86} +(4.32176 - 0.309099i) q^{87} +(-4.61066 - 2.51761i) q^{88} +(-3.33441 + 7.30135i) q^{89} +(5.82847 - 1.49254i) q^{90} -0.691940i q^{91} +(1.58392 + 4.52672i) q^{92} +(0.919126 - 0.919126i) q^{93} +(-11.2121 + 1.61206i) q^{94} +(-7.42724 - 14.8085i) q^{95} +(-0.533637 + 0.156690i) q^{96} +(0.418287 + 5.84842i) q^{97} +(5.90169 - 3.22257i) q^{98} +(11.8910 - 7.64185i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 240 q - 8 q^{3} - 8 q^{6} - 8 q^{12} + 16 q^{13} + 24 q^{16} - 72 q^{18} - 80 q^{23} - 8 q^{26} + 16 q^{27} - 44 q^{28} + 24 q^{31} - 44 q^{33} - 8 q^{35} - 32 q^{36} - 88 q^{37} - 24 q^{41} - 8 q^{46}+ \cdots + 24 q^{98}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/230\mathbb{Z}\right)^\times\).

\(n\) \(47\) \(51\)
\(\chi(n)\) \(e\left(\frac{1}{4}\right)\) \(e\left(\frac{5}{22}\right)\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).



Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.599278 0.800541i 0.423753 0.566068i
\(3\) 0.194360 + 0.521099i 0.112214 + 0.300857i 0.980902 0.194502i \(-0.0623092\pi\)
−0.868688 + 0.495359i \(0.835036\pi\)
\(4\) −0.281733 0.959493i −0.140866 0.479746i
\(5\) 0.398761 + 2.20022i 0.178332 + 0.983970i
\(6\) 0.533637 + 0.156690i 0.217856 + 0.0639684i
\(7\) 0.111632 0.513165i 0.0421930 0.193958i −0.951226 0.308495i \(-0.900175\pi\)
0.993419 + 0.114537i \(0.0365384\pi\)
\(8\) −0.936950 0.349464i −0.331262 0.123554i
\(9\) 2.03348 1.76202i 0.677827 0.587340i
\(10\) 2.00034 + 0.999321i 0.632563 + 0.316013i
\(11\) 5.19978 + 0.747615i 1.56779 + 0.225414i 0.870790 0.491655i \(-0.163608\pi\)
0.697002 + 0.717070i \(0.254517\pi\)
\(12\) 0.445233 0.333298i 0.128528 0.0962147i
\(13\) 1.28745 0.280068i 0.357075 0.0776769i −0.0304495 0.999536i \(-0.509694\pi\)
0.387525 + 0.921859i \(0.373330\pi\)
\(14\) −0.343911 0.396895i −0.0919141 0.106075i
\(15\) −1.06903 + 0.635430i −0.276023 + 0.164067i
\(16\) −0.841254 + 0.540641i −0.210313 + 0.135160i
\(17\) −0.927505 + 0.506456i −0.224953 + 0.122834i −0.587774 0.809025i \(-0.699996\pi\)
0.362821 + 0.931859i \(0.381814\pi\)
\(18\) −0.191951 2.68382i −0.0452433 0.632583i
\(19\) −7.10873 + 2.08731i −1.63085 + 0.478862i −0.963906 0.266243i \(-0.914218\pi\)
−0.666948 + 0.745104i \(0.732400\pi\)
\(20\) 1.99876 1.00248i 0.446935 0.224162i
\(21\) 0.289107 0.0415673i 0.0630883 0.00907072i
\(22\) 3.71461 3.71461i 0.791957 0.791957i
\(23\) −4.78960 + 0.244437i −0.998700 + 0.0509687i
\(24\) 0.556166i 0.113527i
\(25\) −4.68198 + 1.75473i −0.936396 + 0.350946i
\(26\) 0.547335 1.19850i 0.107341 0.235045i
\(27\) 2.77782 + 1.51680i 0.534591 + 0.291909i
\(28\) −0.523829 + 0.0374650i −0.0989943 + 0.00708021i
\(29\) 2.19483 7.47492i 0.407571 1.38806i −0.458748 0.888566i \(-0.651702\pi\)
0.866319 0.499492i \(-0.166480\pi\)
\(30\) −0.131959 + 1.23660i −0.0240924 + 0.225772i
\(31\) −0.970886 2.12594i −0.174376 0.381831i 0.802183 0.597078i \(-0.203672\pi\)
−0.976560 + 0.215247i \(0.930944\pi\)
\(32\) −0.0713392 + 0.997452i −0.0126111 + 0.176326i
\(33\) 0.621047 + 2.85491i 0.108110 + 0.496975i
\(34\) −0.150394 + 1.04601i −0.0257924 + 0.179390i
\(35\) 1.17359 + 0.0409855i 0.198373 + 0.00692782i
\(36\) −2.26354 1.45469i −0.377257 0.242449i
\(37\) 0.636324 + 0.0455108i 0.104611 + 0.00748193i 0.123547 0.992339i \(-0.460573\pi\)
−0.0189355 + 0.999821i \(0.506028\pi\)
\(38\) −2.58912 + 6.94171i −0.420011 + 1.12609i
\(39\) 0.396172 + 0.616456i 0.0634384 + 0.0987120i
\(40\) 0.395280 2.20085i 0.0624993 0.347985i
\(41\) −4.77453 + 5.51010i −0.745656 + 0.860533i −0.994140 0.108103i \(-0.965522\pi\)
0.248484 + 0.968636i \(0.420068\pi\)
\(42\) 0.139979 0.256352i 0.0215992 0.0395560i
\(43\) −8.96907 + 3.34529i −1.36777 + 0.510152i −0.922761 0.385374i \(-0.874072\pi\)
−0.445010 + 0.895526i \(0.646800\pi\)
\(44\) −0.747615 5.19978i −0.112707 0.783896i
\(45\) 4.68772 + 3.77149i 0.698803 + 0.562220i
\(46\) −2.67462 + 3.98076i −0.394351 + 0.586931i
\(47\) −8.00971 8.00971i −1.16834 1.16834i −0.982600 0.185736i \(-0.940533\pi\)
−0.185736 0.982600i \(-0.559467\pi\)
\(48\) −0.445233 0.333298i −0.0642639 0.0481074i
\(49\) 6.11655 + 2.79333i 0.873792 + 0.399048i
\(50\) −1.40107 + 4.79969i −0.198141 + 0.678778i
\(51\) −0.444184 0.384887i −0.0621982 0.0538950i
\(52\) −0.631441 1.15640i −0.0875651 0.160363i
\(53\) 1.37435 + 0.298972i 0.188782 + 0.0410670i 0.305962 0.952044i \(-0.401022\pi\)
−0.117180 + 0.993111i \(0.537386\pi\)
\(54\) 2.87895 1.31477i 0.391775 0.178918i
\(55\) 0.428549 + 11.7388i 0.0577856 + 1.58286i
\(56\) −0.283927 + 0.441798i −0.0379413 + 0.0590378i
\(57\) −2.46935 3.29866i −0.327073 0.436918i
\(58\) −4.66867 6.23661i −0.613026 0.818907i
\(59\) 2.55877 3.98152i 0.333124 0.518350i −0.633773 0.773519i \(-0.718495\pi\)
0.966897 + 0.255169i \(0.0821310\pi\)
\(60\) 0.910872 + 0.846707i 0.117593 + 0.109309i
\(61\) 8.94703 4.08597i 1.14555 0.523155i 0.250057 0.968231i \(-0.419551\pi\)
0.895493 + 0.445076i \(0.146823\pi\)
\(62\) −2.28374 0.496796i −0.290035 0.0630932i
\(63\) −0.677206 1.24021i −0.0853199 0.156252i
\(64\) 0.755750 + 0.654861i 0.0944687 + 0.0818576i
\(65\) 1.12960 + 2.72100i 0.140110 + 0.337499i
\(66\) 2.65765 + 1.21371i 0.327134 + 0.149397i
\(67\) −3.04461 2.27917i −0.371959 0.278445i 0.396902 0.917861i \(-0.370085\pi\)
−0.768861 + 0.639416i \(0.779176\pi\)
\(68\) 0.747249 + 0.747249i 0.0906173 + 0.0906173i
\(69\) −1.05828 2.44835i −0.127402 0.294746i
\(70\) 0.736119 0.914948i 0.0879830 0.109357i
\(71\) −1.06605 7.41456i −0.126517 0.879947i −0.949921 0.312491i \(-0.898837\pi\)
0.823404 0.567456i \(-0.192072\pi\)
\(72\) −2.52103 + 0.940296i −0.297106 + 0.110815i
\(73\) −5.95574 + 10.9071i −0.697066 + 1.27658i 0.253883 + 0.967235i \(0.418292\pi\)
−0.950949 + 0.309347i \(0.899890\pi\)
\(74\) 0.417768 0.482130i 0.0485645 0.0560465i
\(75\) −1.82438 2.09873i −0.210661 0.242340i
\(76\) 4.00552 + 6.23271i 0.459465 + 0.714941i
\(77\) 0.964113 2.58489i 0.109871 0.294575i
\(78\) 0.730916 + 0.0522761i 0.0827599 + 0.00591911i
\(79\) 5.14789 + 3.30835i 0.579183 + 0.372218i 0.797190 0.603729i \(-0.206319\pi\)
−0.218007 + 0.975947i \(0.569955\pi\)
\(80\) −1.52499 1.63536i −0.170499 0.182839i
\(81\) 0.898263 6.24755i 0.0998069 0.694173i
\(82\) 1.54979 + 7.12428i 0.171146 + 0.786745i
\(83\) −0.308617 + 4.31503i −0.0338751 + 0.473636i 0.951994 + 0.306117i \(0.0990300\pi\)
−0.985869 + 0.167519i \(0.946425\pi\)
\(84\) −0.121334 0.265685i −0.0132387 0.0289886i
\(85\) −1.48417 1.83876i −0.160981 0.199442i
\(86\) −2.69692 + 9.18487i −0.290816 + 0.990430i
\(87\) 4.32176 0.309099i 0.463342 0.0331388i
\(88\) −4.61066 2.51761i −0.491498 0.268378i
\(89\) −3.33441 + 7.30135i −0.353447 + 0.773942i 0.646492 + 0.762921i \(0.276235\pi\)
−0.999939 + 0.0110208i \(0.996492\pi\)
\(90\) 5.82847 1.49254i 0.614375 0.157328i
\(91\) 0.691940i 0.0725350i
\(92\) 1.58392 + 4.52672i 0.165135 + 0.471943i
\(93\) 0.919126 0.919126i 0.0953089 0.0953089i
\(94\) −11.2121 + 1.61206i −1.15644 + 0.166272i
\(95\) −7.42724 14.8085i −0.762019 1.51932i
\(96\) −0.533637 + 0.156690i −0.0544641 + 0.0159921i
\(97\) 0.418287 + 5.84842i 0.0424707 + 0.593817i 0.973473 + 0.228803i \(0.0734813\pi\)
−0.931002 + 0.365014i \(0.881064\pi\)
\(98\) 5.90169 3.22257i 0.596161 0.325528i
\(99\) 11.8910 7.64185i 1.19509 0.768035i
\(100\) 3.00272 + 3.99796i 0.300272 + 0.399796i
\(101\) −4.75693 5.48979i −0.473332 0.546254i 0.468003 0.883727i \(-0.344973\pi\)
−0.941335 + 0.337472i \(0.890428\pi\)
\(102\) −0.574308 + 0.124933i −0.0568649 + 0.0123702i
\(103\) 0.861720 0.645076i 0.0849078 0.0635612i −0.555980 0.831195i \(-0.687657\pi\)
0.640888 + 0.767634i \(0.278566\pi\)
\(104\) −1.30415 0.187509i −0.127883 0.0183867i
\(105\) 0.206742 + 0.619524i 0.0201760 + 0.0604594i
\(106\) 1.06296 0.921059i 0.103244 0.0894611i
\(107\) 1.97923 + 0.738215i 0.191340 + 0.0713660i 0.443307 0.896370i \(-0.353805\pi\)
−0.251968 + 0.967736i \(0.581078\pi\)
\(108\) 0.672761 3.09263i 0.0647364 0.297589i
\(109\) 13.4556 + 3.95091i 1.28881 + 0.378429i 0.853142 0.521678i \(-0.174694\pi\)
0.435668 + 0.900107i \(0.356512\pi\)
\(110\) 9.65421 + 6.69173i 0.920493 + 0.638031i
\(111\) 0.0999602 + 0.340433i 0.00948781 + 0.0323125i
\(112\) 0.183527 + 0.492055i 0.0173417 + 0.0464948i
\(113\) 12.3386 16.4825i 1.16072 1.55054i 0.380810 0.924653i \(-0.375645\pi\)
0.779912 0.625889i \(-0.215264\pi\)
\(114\) −4.12054 −0.385924
\(115\) −2.44772 10.4407i −0.228251 0.973602i
\(116\) −7.79049 −0.723329
\(117\) 2.12452 2.83803i 0.196412 0.262376i
\(118\) −1.65396 4.43444i −0.152259 0.408223i
\(119\) 0.156356 + 0.532500i 0.0143331 + 0.0488142i
\(120\) 1.22369 0.221777i 0.111707 0.0202454i
\(121\) 15.9243 + 4.67580i 1.44767 + 0.425073i
\(122\) 2.09077 9.61109i 0.189289 0.870148i
\(123\) −3.79928 1.41706i −0.342570 0.127772i
\(124\) −1.76630 + 1.53051i −0.158618 + 0.137443i
\(125\) −5.72779 9.60169i −0.512309 0.858801i
\(126\) −1.39867 0.201099i −0.124604 0.0179153i
\(127\) −13.3222 + 9.97291i −1.18216 + 0.884952i −0.995243 0.0974238i \(-0.968940\pi\)
−0.186915 + 0.982376i \(0.559849\pi\)
\(128\) 0.977147 0.212565i 0.0863684 0.0187883i
\(129\) −3.48646 4.02358i −0.306965 0.354257i
\(130\) 2.85522 + 0.726346i 0.250419 + 0.0637048i
\(131\) 2.42557 1.55882i 0.211923 0.136195i −0.430373 0.902651i \(-0.641618\pi\)
0.642297 + 0.766456i \(0.277982\pi\)
\(132\) 2.56429 1.40021i 0.223193 0.121873i
\(133\) 0.277572 + 3.88096i 0.0240685 + 0.336522i
\(134\) −3.64914 + 1.07148i −0.315237 + 0.0925620i
\(135\) −2.22962 + 6.71667i −0.191895 + 0.578079i
\(136\) 1.04601 0.150394i 0.0896949 0.0128962i
\(137\) 5.57895 5.57895i 0.476642 0.476642i −0.427414 0.904056i \(-0.640575\pi\)
0.904056 + 0.427414i \(0.140575\pi\)
\(138\) −2.59421 0.620041i −0.220834 0.0527814i
\(139\) 3.74691i 0.317809i 0.987294 + 0.158904i \(0.0507962\pi\)
−0.987294 + 0.158904i \(0.949204\pi\)
\(140\) −0.291314 1.13760i −0.0246205 0.0961449i
\(141\) 2.61709 5.73062i 0.220398 0.482605i
\(142\) −6.57453 3.58996i −0.551722 0.301263i
\(143\) 6.90385 0.493773i 0.577329 0.0412914i
\(144\) −0.758052 + 2.58169i −0.0631710 + 0.215141i
\(145\) 17.3217 + 1.84842i 1.43849 + 0.153503i
\(146\) 5.16246 + 11.3042i 0.427248 + 0.935543i
\(147\) −0.266792 + 3.73024i −0.0220046 + 0.307665i
\(148\) −0.135606 0.623370i −0.0111467 0.0512407i
\(149\) 0.489978 3.40787i 0.0401406 0.279184i −0.959859 0.280484i \(-0.909505\pi\)
0.999999 + 0.00130050i \(0.000413964\pi\)
\(150\) −2.77343 + 0.202770i −0.226449 + 0.0165561i
\(151\) −3.28379 2.11036i −0.267231 0.171739i 0.400163 0.916444i \(-0.368954\pi\)
−0.667393 + 0.744705i \(0.732590\pi\)
\(152\) 7.38996 + 0.528540i 0.599405 + 0.0428703i
\(153\) −0.993677 + 2.66415i −0.0803340 + 0.215384i
\(154\) −1.49154 2.32088i −0.120191 0.187022i
\(155\) 4.29040 2.98391i 0.344613 0.239674i
\(156\) 0.479871 0.553800i 0.0384204 0.0443395i
\(157\) −0.313333 + 0.573827i −0.0250067 + 0.0457964i −0.889884 0.456188i \(-0.849215\pi\)
0.864877 + 0.501984i \(0.167396\pi\)
\(158\) 5.73349 2.13848i 0.456132 0.170128i
\(159\) 0.111325 + 0.774282i 0.00882864 + 0.0614046i
\(160\) −2.22307 + 0.240783i −0.175749 + 0.0190356i
\(161\) −0.409237 + 2.48514i −0.0322524 + 0.195857i
\(162\) −4.46312 4.46312i −0.350655 0.350655i
\(163\) −15.0620 11.2753i −1.17975 0.883150i −0.184727 0.982790i \(-0.559140\pi\)
−0.995024 + 0.0996395i \(0.968231\pi\)
\(164\) 6.63204 + 3.02875i 0.517875 + 0.236506i
\(165\) −6.03378 + 2.50487i −0.469729 + 0.195004i
\(166\) 3.26941 + 2.83296i 0.253756 + 0.219880i
\(167\) 2.46818 + 4.52013i 0.190993 + 0.349778i 0.955575 0.294749i \(-0.0952361\pi\)
−0.764581 + 0.644527i \(0.777054\pi\)
\(168\) −0.285405 0.0620860i −0.0220195 0.00479004i
\(169\) −10.2461 + 4.67925i −0.788163 + 0.359942i
\(170\) −2.36144 + 0.0862092i −0.181114 + 0.00661195i
\(171\) −10.7776 + 16.7702i −0.824181 + 1.28245i
\(172\) 5.73666 + 7.66328i 0.437416 + 0.584320i
\(173\) 13.2248 + 17.6662i 1.00546 + 1.34314i 0.938461 + 0.345384i \(0.112251\pi\)
0.0669983 + 0.997753i \(0.478658\pi\)
\(174\) 2.34249 3.64499i 0.177584 0.276326i
\(175\) 0.377806 + 2.59851i 0.0285595 + 0.196429i
\(176\) −4.77852 + 2.18228i −0.360195 + 0.164495i
\(177\) 2.57209 + 0.559524i 0.193330 + 0.0420564i
\(178\) 3.84679 + 7.04487i 0.288329 + 0.528036i
\(179\) 9.16886 + 7.94486i 0.685312 + 0.593827i 0.926339 0.376692i \(-0.122938\pi\)
−0.241026 + 0.970519i \(0.577484\pi\)
\(180\) 2.29803 5.56038i 0.171285 0.414446i
\(181\) −14.1674 6.47003i −1.05305 0.480913i −0.187779 0.982211i \(-0.560129\pi\)
−0.865275 + 0.501298i \(0.832856\pi\)
\(182\) −0.553927 0.414664i −0.0410598 0.0307370i
\(183\) 3.86814 + 3.86814i 0.285941 + 0.285941i
\(184\) 4.57303 + 1.44477i 0.337129 + 0.106510i
\(185\) 0.153607 + 1.41820i 0.0112934 + 0.104268i
\(186\) −0.184987 1.28661i −0.0135639 0.0943388i
\(187\) −5.20145 + 1.94004i −0.380368 + 0.141870i
\(188\) −5.42866 + 9.94185i −0.395926 + 0.725084i
\(189\) 1.08847 1.25616i 0.0791742 0.0913719i
\(190\) −16.3058 2.92857i −1.18294 0.212461i
\(191\) 2.83595 + 4.41282i 0.205202 + 0.319301i 0.928567 0.371166i \(-0.121042\pi\)
−0.723365 + 0.690466i \(0.757405\pi\)
\(192\) −0.194360 + 0.521099i −0.0140267 + 0.0376071i
\(193\) 18.5637 + 1.32771i 1.33625 + 0.0955703i 0.721094 0.692837i \(-0.243639\pi\)
0.615154 + 0.788407i \(0.289094\pi\)
\(194\) 4.93257 + 3.16997i 0.354138 + 0.227591i
\(195\) −1.19836 + 1.11749i −0.0858166 + 0.0800249i
\(196\) 0.956953 6.65576i 0.0683538 0.475411i
\(197\) −3.79540 17.4472i −0.270411 1.24306i −0.889206 0.457507i \(-0.848742\pi\)
0.618795 0.785553i \(-0.287621\pi\)
\(198\) 1.00837 14.0988i 0.0716614 1.00196i
\(199\) 9.28417 + 20.3295i 0.658137 + 1.44112i 0.884248 + 0.467018i \(0.154672\pi\)
−0.226111 + 0.974102i \(0.572601\pi\)
\(200\) 4.99999 0.00790982i 0.353553 0.000559309i
\(201\) 0.595922 2.02952i 0.0420331 0.143152i
\(202\) −7.24552 + 0.518210i −0.509793 + 0.0364611i
\(203\) −3.59085 1.96075i −0.252029 0.137618i
\(204\) −0.244156 + 0.534626i −0.0170943 + 0.0374313i
\(205\) −14.0273 8.30782i −0.979713 0.580243i
\(206\) 1.07642i 0.0749979i
\(207\) −9.30885 + 8.93643i −0.647010 + 0.621125i
\(208\) −0.931658 + 0.931658i −0.0645988 + 0.0645988i
\(209\) −38.5243 + 5.53896i −2.66478 + 0.383138i
\(210\) 0.619851 + 0.205762i 0.0427738 + 0.0141989i
\(211\) −7.94165 + 2.33188i −0.546725 + 0.160533i −0.543419 0.839461i \(-0.682871\pi\)
−0.00330619 + 0.999995i \(0.501052\pi\)
\(212\) −0.100338 1.40291i −0.00689126 0.0963524i
\(213\) 3.65652 1.99661i 0.250541 0.136806i
\(214\) 1.77708 1.14206i 0.121479 0.0780697i
\(215\) −10.9369 18.4000i −0.745891 1.25487i
\(216\) −2.07261 2.39192i −0.141023 0.162749i
\(217\) −1.19934 + 0.260901i −0.0814167 + 0.0177111i
\(218\) 11.2265 8.40405i 0.760354 0.569194i
\(219\) −6.84125 0.983623i −0.462289 0.0664671i
\(220\) 11.1426 3.71839i 0.751231 0.250694i
\(221\) −1.05228 + 0.911803i −0.0707838 + 0.0613345i
\(222\) 0.332435 + 0.123992i 0.0223116 + 0.00832178i
\(223\) 1.24955 5.74408i 0.0836760 0.384652i −0.916195 0.400733i \(-0.868755\pi\)
0.999871 + 0.0160811i \(0.00511900\pi\)
\(224\) 0.503894 + 0.147957i 0.0336678 + 0.00988577i
\(225\) −6.42884 + 11.8180i −0.428589 + 0.787863i
\(226\) −5.80065 19.7552i −0.385853 1.31410i
\(227\) 4.55091 + 12.2015i 0.302055 + 0.809840i 0.995962 + 0.0897758i \(0.0286151\pi\)
−0.693907 + 0.720064i \(0.744112\pi\)
\(228\) −2.46935 + 3.29866i −0.163537 + 0.218459i
\(229\) −6.02979 −0.398459 −0.199230 0.979953i \(-0.563844\pi\)
−0.199230 + 0.979953i \(0.563844\pi\)
\(230\) −9.82509 4.29739i −0.647847 0.283361i
\(231\) 1.53437 0.100954
\(232\) −4.66867 + 6.23661i −0.306513 + 0.409453i
\(233\) −2.39806 6.42945i −0.157102 0.421207i 0.834422 0.551125i \(-0.185801\pi\)
−0.991525 + 0.129918i \(0.958529\pi\)
\(234\) −0.998781 3.40154i −0.0652924 0.222365i
\(235\) 14.4292 20.8171i 0.941257 1.35796i
\(236\) −4.54113 1.33340i −0.295603 0.0867968i
\(237\) −0.723434 + 3.32557i −0.0469921 + 0.216019i
\(238\) 0.519989 + 0.193946i 0.0337059 + 0.0125716i
\(239\) 6.14021 5.32053i 0.397177 0.344156i −0.433259 0.901269i \(-0.642637\pi\)
0.830437 + 0.557113i \(0.188091\pi\)
\(240\) 0.555788 1.11252i 0.0358759 0.0718129i
\(241\) −15.5482 2.23550i −1.00155 0.144001i −0.378017 0.925799i \(-0.623394\pi\)
−0.623532 + 0.781798i \(0.714303\pi\)
\(242\) 13.2863 9.94597i 0.854073 0.639351i
\(243\) 12.7081 2.76447i 0.815223 0.177341i
\(244\) −6.44113 7.43346i −0.412351 0.475878i
\(245\) −3.70692 + 14.5717i −0.236826 + 0.930949i
\(246\) −3.41124 + 2.19227i −0.217493 + 0.139774i
\(247\) −8.56756 + 4.67824i −0.545141 + 0.297669i
\(248\) 0.166730 + 2.33119i 0.0105874 + 0.148031i
\(249\) −2.30854 + 0.677849i −0.146298 + 0.0429569i
\(250\) −11.1191 1.16874i −0.703233 0.0739177i
\(251\) 10.1622 1.46110i 0.641433 0.0922241i 0.186079 0.982535i \(-0.440422\pi\)
0.455354 + 0.890311i \(0.349513\pi\)
\(252\) −0.999181 + 0.999181i −0.0629425 + 0.0629425i
\(253\) −25.0876 2.30976i −1.57724 0.145213i
\(254\) 16.6415i 1.04418i
\(255\) 0.669715 1.13078i 0.0419392 0.0708123i
\(256\) 0.415415 0.909632i 0.0259634 0.0568520i
\(257\) 24.1790 + 13.2028i 1.50825 + 0.823565i 0.999306 0.0372367i \(-0.0118555\pi\)
0.508940 + 0.860802i \(0.330037\pi\)
\(258\) −5.31040 + 0.379807i −0.330611 + 0.0236458i
\(259\) 0.0943888 0.321459i 0.00586503 0.0199745i
\(260\) 2.29254 1.85044i 0.142177 0.114759i
\(261\) −8.70781 19.0674i −0.539000 1.18025i
\(262\) 0.205691 2.87594i 0.0127076 0.177676i
\(263\) 4.60403 + 21.1644i 0.283897 + 1.30505i 0.869290 + 0.494302i \(0.164576\pi\)
−0.585393 + 0.810749i \(0.699060\pi\)
\(264\) 0.415798 2.89194i 0.0255906 0.177986i
\(265\) −0.109767 + 3.14310i −0.00674293 + 0.193079i
\(266\) 3.27321 + 2.10357i 0.200694 + 0.128978i
\(267\) −4.45280 0.318471i −0.272507 0.0194901i
\(268\) −1.32908 + 3.56340i −0.0811865 + 0.217669i
\(269\) −7.04113 10.9562i −0.429305 0.668012i 0.557453 0.830208i \(-0.311779\pi\)
−0.986759 + 0.162196i \(0.948142\pi\)
\(270\) 4.04081 + 5.81005i 0.245916 + 0.353589i
\(271\) −2.42350 + 2.79686i −0.147217 + 0.169897i −0.824569 0.565762i \(-0.808582\pi\)
0.677352 + 0.735659i \(0.263128\pi\)
\(272\) 0.506456 0.927505i 0.0307084 0.0562383i
\(273\) 0.360569 0.134485i 0.0218227 0.00813943i
\(274\) −1.12284 7.80952i −0.0678332 0.471790i
\(275\) −25.6571 + 5.62389i −1.54718 + 0.339133i
\(276\) −2.05102 + 1.70519i −0.123457 + 0.102641i
\(277\) 13.3765 + 13.3765i 0.803718 + 0.803718i 0.983675 0.179957i \(-0.0575958\pi\)
−0.179957 + 0.983675i \(0.557596\pi\)
\(278\) 2.99956 + 2.24544i 0.179901 + 0.134673i
\(279\) −5.72023 2.61234i −0.342461 0.156397i
\(280\) −1.08527 0.448530i −0.0648576 0.0268048i
\(281\) 14.9178 + 12.9263i 0.889920 + 0.771120i 0.974286 0.225315i \(-0.0723410\pi\)
−0.0843659 + 0.996435i \(0.526886\pi\)
\(282\) −3.01923 5.52932i −0.179793 0.329266i
\(283\) 20.2886 + 4.41351i 1.20603 + 0.262356i 0.770277 0.637709i \(-0.220118\pi\)
0.435755 + 0.900065i \(0.356482\pi\)
\(284\) −6.81388 + 3.11179i −0.404329 + 0.184651i
\(285\) 6.27312 6.74850i 0.371587 0.399747i
\(286\) 3.74204 5.82272i 0.221271 0.344305i
\(287\) 2.29460 + 3.06522i 0.135446 + 0.180935i
\(288\) 1.61246 + 2.15400i 0.0950154 + 0.126926i
\(289\) −8.58713 + 13.3618i −0.505125 + 0.785990i
\(290\) 11.8603 12.7590i 0.696458 0.749236i
\(291\) −2.96631 + 1.35467i −0.173888 + 0.0794121i
\(292\) 12.1432 + 2.64160i 0.710629 + 0.154588i
\(293\) −0.0779118 0.142685i −0.00455166 0.00833573i 0.875393 0.483411i \(-0.160602\pi\)
−0.879945 + 0.475076i \(0.842421\pi\)
\(294\) 2.82633 + 2.44903i 0.164835 + 0.142830i
\(295\) 9.78059 + 4.04219i 0.569448 + 0.235346i
\(296\) −0.580299 0.265014i −0.0337292 0.0154036i
\(297\) 13.3101 + 9.96378i 0.772328 + 0.578157i
\(298\) −2.43451 2.43451i −0.141027 0.141027i
\(299\) −6.09792 + 1.65611i −0.352652 + 0.0957756i
\(300\) −1.49973 + 2.34176i −0.0865867 + 0.135201i
\(301\) 0.715449 + 4.97606i 0.0412378 + 0.286815i
\(302\) −3.65733 + 1.36411i −0.210456 + 0.0784959i
\(303\) 1.93617 3.54582i 0.111230 0.203702i
\(304\) 4.85176 5.59923i 0.278267 0.321138i
\(305\) 12.5578 + 18.0561i 0.719056 + 1.03389i
\(306\) 1.53727 + 2.39205i 0.0878801 + 0.136744i
\(307\) 2.28076 6.11496i 0.130170 0.348999i −0.855472 0.517850i \(-0.826733\pi\)
0.985642 + 0.168850i \(0.0540054\pi\)
\(308\) −2.75180 0.196813i −0.156798 0.0112144i
\(309\) 0.503632 + 0.323665i 0.0286506 + 0.0184126i
\(310\) 0.182398 5.22283i 0.0103595 0.296637i
\(311\) 2.37328 16.5065i 0.134576 0.935998i −0.804907 0.593401i \(-0.797785\pi\)
0.939483 0.342596i \(-0.111306\pi\)
\(312\) −0.155764 0.716037i −0.00881841 0.0405376i
\(313\) 0.416728 5.82662i 0.0235549 0.329340i −0.971988 0.235030i \(-0.924481\pi\)
0.995543 0.0943098i \(-0.0300644\pi\)
\(314\) 0.271599 + 0.594718i 0.0153272 + 0.0335619i
\(315\) 2.45870 1.98455i 0.138532 0.111817i
\(316\) 1.72401 5.87144i 0.0969831 0.330294i
\(317\) −7.63598 + 0.546136i −0.428879 + 0.0306740i −0.284111 0.958792i \(-0.591698\pi\)
−0.144769 + 0.989466i \(0.546244\pi\)
\(318\) 0.686559 + 0.374890i 0.0385003 + 0.0210228i
\(319\) 17.0010 37.2270i 0.951874 2.08431i
\(320\) −1.13948 + 1.92395i −0.0636987 + 0.107552i
\(321\) 1.17486i 0.0655740i
\(322\) 1.74421 + 1.81690i 0.0972011 + 0.101252i
\(323\) 5.53625 5.53625i 0.308045 0.308045i
\(324\) −6.24755 + 0.898263i −0.347086 + 0.0499035i
\(325\) −5.53638 + 3.57040i −0.307103 + 0.198050i
\(326\) −18.0527 + 5.30075i −0.999847 + 0.293581i
\(327\) 0.556407 + 7.77959i 0.0307694 + 0.430212i
\(328\) 6.39907 3.49416i 0.353330 0.192933i
\(329\) −5.00444 + 3.21616i −0.275904 + 0.177313i
\(330\) −1.61066 + 6.33140i −0.0886640 + 0.348532i
\(331\) 9.59008 + 11.0675i 0.527118 + 0.608327i 0.955399 0.295319i \(-0.0954259\pi\)
−0.428280 + 0.903646i \(0.640880\pi\)
\(332\) 4.22719 0.919568i 0.231997 0.0504679i
\(333\) 1.37414 1.02867i 0.0753026 0.0563708i
\(334\) 5.09767 + 0.732934i 0.278932 + 0.0401044i
\(335\) 3.80061 7.60768i 0.207649 0.415652i
\(336\) −0.220739 + 0.191272i −0.0120423 + 0.0104347i
\(337\) −21.5829 8.04999i −1.17569 0.438511i −0.315721 0.948852i \(-0.602246\pi\)
−0.859972 + 0.510341i \(0.829519\pi\)
\(338\) −2.39434 + 11.0066i −0.130235 + 0.598681i
\(339\) 10.9872 + 3.22612i 0.596740 + 0.175219i
\(340\) −1.34614 + 1.94209i −0.0730048 + 0.105325i
\(341\) −3.45900 11.7803i −0.187315 0.637938i
\(342\) 6.96650 + 18.6779i 0.376705 + 1.00999i
\(343\) 4.31929 5.76990i 0.233220 0.311545i
\(344\) 9.57263 0.516121
\(345\) 4.96491 3.30476i 0.267302 0.177923i
\(346\) 22.0678 1.18637
\(347\) 11.1290 14.8666i 0.597435 0.798080i −0.395281 0.918560i \(-0.629353\pi\)
0.992716 + 0.120481i \(0.0384436\pi\)
\(348\) −1.51416 4.05962i −0.0811675 0.217618i
\(349\) 0.888703 + 3.02665i 0.0475712 + 0.162013i 0.979853 0.199720i \(-0.0640034\pi\)
−0.932282 + 0.361733i \(0.882185\pi\)
\(350\) 2.30663 + 1.25478i 0.123294 + 0.0670709i
\(351\) 4.00112 + 1.17483i 0.213564 + 0.0627080i
\(352\) −1.11666 + 5.13319i −0.0595181 + 0.273600i
\(353\) 2.14300 + 0.799297i 0.114060 + 0.0425423i 0.405846 0.913941i \(-0.366977\pi\)
−0.291786 + 0.956484i \(0.594250\pi\)
\(354\) 1.98932 1.72375i 0.105731 0.0916165i
\(355\) 15.8886 5.30220i 0.843280 0.281412i
\(356\) 7.94501 + 1.14232i 0.421085 + 0.0605428i
\(357\) −0.247096 + 0.184974i −0.0130777 + 0.00978985i
\(358\) 11.8549 2.57887i 0.626550 0.136298i
\(359\) −3.87432 4.47120i −0.204479 0.235981i 0.644243 0.764821i \(-0.277173\pi\)
−0.848721 + 0.528840i \(0.822627\pi\)
\(360\) −3.07415 5.17188i −0.162022 0.272582i
\(361\) 30.1933 19.4041i 1.58912 1.02127i
\(362\) −13.6697 + 7.46423i −0.718465 + 0.392311i
\(363\) 0.658493 + 9.20694i 0.0345619 + 0.483239i
\(364\) −0.663912 + 0.194942i −0.0347984 + 0.0102177i
\(365\) −26.3730 8.75462i −1.38043 0.458238i
\(366\) 5.41469 0.778515i 0.283031 0.0406937i
\(367\) 15.3876 15.3876i 0.803228 0.803228i −0.180371 0.983599i \(-0.557730\pi\)
0.983599 + 0.180371i \(0.0577299\pi\)
\(368\) 3.89711 2.79509i 0.203151 0.145704i
\(369\) 19.6175i 1.02125i
\(370\) 1.22738 + 0.726929i 0.0638086 + 0.0377912i
\(371\) 0.306844 0.671895i 0.0159306 0.0348830i
\(372\) −1.14084 0.622947i −0.0591499 0.0322983i
\(373\) 4.39431 0.314287i 0.227529 0.0162732i 0.0428906 0.999080i \(-0.486343\pi\)
0.184638 + 0.982807i \(0.440889\pi\)
\(374\) −1.56403 + 5.32660i −0.0808741 + 0.275432i
\(375\) 3.89018 4.85093i 0.200888 0.250501i
\(376\) 4.70559 + 10.3038i 0.242672 + 0.531378i
\(377\) 0.732258 10.2383i 0.0377132 0.527300i
\(378\) −0.353312 1.62415i −0.0181724 0.0835371i
\(379\) −3.68234 + 25.6112i −0.189149 + 1.31556i 0.645069 + 0.764124i \(0.276829\pi\)
−0.834218 + 0.551435i \(0.814080\pi\)
\(380\) −12.1161 + 11.2984i −0.621544 + 0.579596i
\(381\) −7.78618 5.00388i −0.398898 0.256356i
\(382\) 5.23217 + 0.374212i 0.267701 + 0.0191463i
\(383\) 11.3995 30.5632i 0.582487 1.56171i −0.226582 0.973992i \(-0.572755\pi\)
0.809068 0.587715i \(-0.199972\pi\)
\(384\) 0.300686 + 0.467876i 0.0153443 + 0.0238762i
\(385\) 6.07178 + 1.09051i 0.309447 + 0.0555776i
\(386\) 12.1877 14.0654i 0.620339 0.715909i
\(387\) −12.3440 + 22.6063i −0.627478 + 1.14914i
\(388\) 5.49368 2.04904i 0.278899 0.104024i
\(389\) −2.86208 19.9062i −0.145113 1.00928i −0.924074 0.382213i \(-0.875162\pi\)
0.778961 0.627072i \(-0.215747\pi\)
\(390\) 0.176442 + 1.62903i 0.00893448 + 0.0824889i
\(391\) 4.31858 2.65244i 0.218400 0.134140i
\(392\) −4.75473 4.75473i −0.240150 0.240150i
\(393\) 1.28373 + 0.960991i 0.0647558 + 0.0484756i
\(394\) −16.2417 7.41733i −0.818244 0.373680i
\(395\) −5.22633 + 12.6458i −0.262965 + 0.636277i
\(396\) −10.6824 9.25633i −0.536809 0.465148i
\(397\) −9.70299 17.7697i −0.486979 0.891836i −0.999451 0.0331319i \(-0.989452\pi\)
0.512472 0.858704i \(-0.328730\pi\)
\(398\) 21.8384 + 4.75065i 1.09466 + 0.238129i
\(399\) −1.96842 + 0.898946i −0.0985441 + 0.0450036i
\(400\) 2.99005 4.00744i 0.149503 0.200372i
\(401\) −18.1104 + 28.1803i −0.904388 + 1.40726i 0.00890872 + 0.999960i \(0.497164\pi\)
−0.913297 + 0.407295i \(0.866472\pi\)
\(402\) −1.26759 1.69331i −0.0632219 0.0844546i
\(403\) −1.84538 2.46514i −0.0919248 0.122797i
\(404\) −3.92723 + 6.11089i −0.195387 + 0.304028i
\(405\) 14.1042 0.514904i 0.700844 0.0255858i
\(406\) −3.72158 + 1.69959i −0.184699 + 0.0843493i
\(407\) 3.27472 + 0.712371i 0.162322 + 0.0353109i
\(408\) 0.281673 + 0.515846i 0.0139449 + 0.0255382i
\(409\) 6.50305 + 5.63493i 0.321555 + 0.278629i 0.800648 0.599135i \(-0.204489\pi\)
−0.479093 + 0.877764i \(0.659034\pi\)
\(410\) −15.0570 + 6.25078i −0.743614 + 0.308704i
\(411\) 3.99151 + 1.82286i 0.196887 + 0.0899151i
\(412\) −0.861720 0.645076i −0.0424539 0.0317806i
\(413\) −1.75754 1.75754i −0.0864828 0.0864828i
\(414\) 1.57539 + 12.8075i 0.0774264 + 0.629455i
\(415\) −9.61710 + 1.04164i −0.472085 + 0.0511321i
\(416\) 0.187509 + 1.30415i 0.00919337 + 0.0639413i
\(417\) −1.95251 + 0.728249i −0.0956149 + 0.0356625i
\(418\) −18.6526 + 34.1597i −0.912328 + 1.67080i
\(419\) 6.27500 7.24173i 0.306554 0.353782i −0.581480 0.813561i \(-0.697526\pi\)
0.888033 + 0.459779i \(0.152071\pi\)
\(420\) 0.536183 0.372908i 0.0261631 0.0181960i
\(421\) −5.36248 8.34419i −0.261351 0.406671i 0.685634 0.727946i \(-0.259525\pi\)
−0.946986 + 0.321275i \(0.895889\pi\)
\(422\) −2.89249 + 7.75506i −0.140804 + 0.377510i
\(423\) −30.4008 2.17431i −1.47814 0.105719i
\(424\) −1.18322 0.760409i −0.0574622 0.0369287i
\(425\) 3.45387 3.99874i 0.167537 0.193967i
\(426\) 0.592902 4.12372i 0.0287262 0.199795i
\(427\) −1.09800 5.04743i −0.0531360 0.244262i
\(428\) 0.150698 2.10704i 0.00728428 0.101848i
\(429\) 1.59914 + 3.50162i 0.0772070 + 0.169060i
\(430\) −21.2842 2.27126i −1.02642 0.109530i
\(431\) −6.84144 + 23.2998i −0.329541 + 1.12231i 0.613517 + 0.789682i \(0.289754\pi\)
−0.943057 + 0.332631i \(0.892064\pi\)
\(432\) −3.15690 + 0.225786i −0.151886 + 0.0108631i
\(433\) −2.87198 1.56822i −0.138019 0.0753639i 0.408756 0.912644i \(-0.365963\pi\)
−0.546775 + 0.837280i \(0.684145\pi\)
\(434\) −0.509877 + 1.11647i −0.0244749 + 0.0535925i
\(435\) 2.40344 + 9.38559i 0.115236 + 0.450005i
\(436\) 14.0236i 0.671610i
\(437\) 33.5377 11.7350i 1.60433 0.561362i
\(438\) −4.88724 + 4.88724i −0.233521 + 0.233521i
\(439\) 21.8981 3.14847i 1.04514 0.150268i 0.401704 0.915770i \(-0.368418\pi\)
0.643434 + 0.765501i \(0.277509\pi\)
\(440\) 3.70076 11.1484i 0.176427 0.531480i
\(441\) 17.3598 5.09729i 0.826657 0.242728i
\(442\) 0.0993299 + 1.38881i 0.00472464 + 0.0660591i
\(443\) 26.9109 14.6945i 1.27858 0.698155i 0.310922 0.950436i \(-0.399362\pi\)
0.967654 + 0.252280i \(0.0811805\pi\)
\(444\) 0.298481 0.191822i 0.0141653 0.00910348i
\(445\) −17.3942 4.42497i −0.824566 0.209763i
\(446\) −3.84955 4.44262i −0.182281 0.210364i
\(447\) 1.87107 0.407027i 0.0884987 0.0192517i
\(448\) 0.420418 0.314721i 0.0198629 0.0148692i
\(449\) −39.7435 5.71425i −1.87561 0.269672i −0.892279 0.451484i \(-0.850895\pi\)
−0.983333 + 0.181812i \(0.941804\pi\)
\(450\) 5.60810 + 12.2288i 0.264368 + 0.576471i
\(451\) −28.9459 + 25.0818i −1.36301 + 1.18105i
\(452\) −19.2910 7.19518i −0.907374 0.338433i
\(453\) 0.461471 2.12135i 0.0216818 0.0996696i
\(454\) 12.4950 + 3.66888i 0.586421 + 0.172189i
\(455\) 1.52242 0.275919i 0.0713723 0.0129353i
\(456\) 1.16089 + 3.95363i 0.0543637 + 0.185146i
\(457\) 7.54028 + 20.2163i 0.352719 + 0.945678i 0.985247 + 0.171139i \(0.0547449\pi\)
−0.632527 + 0.774538i \(0.717982\pi\)
\(458\) −3.61352 + 4.82709i −0.168849 + 0.225555i
\(459\) −3.34464 −0.156114
\(460\) −9.32819 + 5.29006i −0.434929 + 0.246651i
\(461\) −16.2217 −0.755521 −0.377760 0.925903i \(-0.623306\pi\)
−0.377760 + 0.925903i \(0.623306\pi\)
\(462\) 0.919512 1.22832i 0.0427796 0.0571468i
\(463\) 0.956500 + 2.56448i 0.0444523 + 0.119181i 0.957279 0.289166i \(-0.0933780\pi\)
−0.912827 + 0.408347i \(0.866105\pi\)
\(464\) 2.19483 + 7.47492i 0.101893 + 0.347014i
\(465\) 2.38880 + 1.65577i 0.110778 + 0.0767846i
\(466\) −6.58415 1.93328i −0.305005 0.0895575i
\(467\) 4.46937 20.5453i 0.206818 0.950725i −0.750316 0.661079i \(-0.770099\pi\)
0.957134 0.289646i \(-0.0935376\pi\)
\(468\) −3.32162 1.23890i −0.153542 0.0572681i
\(469\) −1.50947 + 1.30796i −0.0697007 + 0.0603960i
\(470\) −8.01787 24.0264i −0.369837 1.10826i
\(471\) −0.359920 0.0517487i −0.0165842 0.00238445i
\(472\) −3.78884 + 2.83629i −0.174395 + 0.130551i
\(473\) −49.1381 + 10.6893i −2.25937 + 0.491497i
\(474\) 2.22872 + 2.57208i 0.102369 + 0.118140i
\(475\) 29.6202 22.2466i 1.35907 1.02075i
\(476\) 0.466879 0.300045i 0.0213994 0.0137525i
\(477\) 3.32151 1.81368i 0.152082 0.0830429i
\(478\) −0.579607 8.10397i −0.0265106 0.370667i
\(479\) 26.6057 7.81215i 1.21565 0.356946i 0.389832 0.920886i \(-0.372533\pi\)
0.825816 + 0.563940i \(0.190715\pi\)
\(480\) −0.557547 1.11164i −0.0254484 0.0507392i
\(481\) 0.831983 0.119621i 0.0379351 0.00545425i
\(482\) −11.1073 + 11.1073i −0.505924 + 0.505924i
\(483\) −1.37454 + 0.269759i −0.0625439 + 0.0122745i
\(484\) 16.5966i 0.754391i
\(485\) −12.7010 + 3.25245i −0.576725 + 0.147686i
\(486\) 5.40259 11.8300i 0.245066 0.536621i
\(487\) −12.1768 6.64903i −0.551783 0.301296i 0.179064 0.983837i \(-0.442693\pi\)
−0.730847 + 0.682541i \(0.760875\pi\)
\(488\) −9.81081 + 0.701683i −0.444115 + 0.0317637i
\(489\) 2.94809 10.0403i 0.133317 0.454038i
\(490\) 9.44374 + 11.7000i 0.426624 + 0.528552i
\(491\) 2.01551 + 4.41335i 0.0909587 + 0.199172i 0.949644 0.313332i \(-0.101445\pi\)
−0.858685 + 0.512504i \(0.828718\pi\)
\(492\) −0.289277 + 4.04462i −0.0130416 + 0.182345i
\(493\) 1.75000 + 8.04461i 0.0788160 + 0.362311i
\(494\) −1.38922 + 9.66225i −0.0625040 + 0.434725i
\(495\) 21.5554 + 23.1155i 0.968845 + 1.03896i
\(496\) 1.96613 + 1.26356i 0.0882820 + 0.0567354i
\(497\) −3.92390 0.280643i −0.176011 0.0125886i
\(498\) −0.840811 + 2.25430i −0.0376776 + 0.101018i
\(499\) −18.6870 29.0775i −0.836544 1.30169i −0.951292 0.308293i \(-0.900242\pi\)
0.114748 0.993395i \(-0.463394\pi\)
\(500\) −7.59905 + 8.20088i −0.339840 + 0.366755i
\(501\) −1.87572 + 2.16470i −0.0838010 + 0.0967115i
\(502\) 4.92031 9.01087i 0.219604 0.402175i
\(503\) −36.4791 + 13.6060i −1.62652 + 0.606662i −0.986800 0.161944i \(-0.948224\pi\)
−0.639723 + 0.768606i \(0.720951\pi\)
\(504\) 0.201099 + 1.39867i 0.00895765 + 0.0623018i
\(505\) 10.1819 12.6554i 0.453088 0.563159i
\(506\) −16.8835 + 18.6995i −0.750562 + 0.831292i
\(507\) −4.42979 4.42979i −0.196734 0.196734i
\(508\) 13.3222 + 9.97291i 0.591079 + 0.442476i
\(509\) −5.35168 2.44403i −0.237209 0.108330i 0.293264 0.956031i \(-0.405258\pi\)
−0.530473 + 0.847702i \(0.677986\pi\)
\(510\) −0.503892 1.21379i −0.0223127 0.0537474i
\(511\) 4.93230 + 4.27386i 0.218192 + 0.189065i
\(512\) −0.479249 0.877679i −0.0211800 0.0387883i
\(513\) −22.9128 4.98437i −1.01162 0.220065i
\(514\) 25.0593 11.4442i 1.10532 0.504782i
\(515\) 1.76293 + 1.63875i 0.0776841 + 0.0722118i
\(516\) −2.87835 + 4.47880i −0.126712 + 0.197168i
\(517\) −35.6605 47.6369i −1.56835 2.09507i
\(518\) −0.200776 0.268205i −0.00882159 0.0117843i
\(519\) −6.63548 + 10.3250i −0.291265 + 0.453218i
\(520\) −0.107484 2.94420i −0.00471349 0.129112i
\(521\) −14.5901 + 6.66307i −0.639203 + 0.291914i −0.708531 0.705680i \(-0.750642\pi\)
0.0693279 + 0.997594i \(0.477915\pi\)
\(522\) −20.4827 4.45573i −0.896502 0.195022i
\(523\) 2.28295 + 4.18091i 0.0998263 + 0.182818i 0.922819 0.385234i \(-0.125879\pi\)
−0.822993 + 0.568052i \(0.807697\pi\)
\(524\) −2.17904 1.88815i −0.0951918 0.0824842i
\(525\) −1.28065 + 0.701921i −0.0558922 + 0.0306344i
\(526\) 19.7021 + 8.99763i 0.859050 + 0.392315i
\(527\) 1.97720 + 1.48011i 0.0861281 + 0.0644747i
\(528\) −2.06594 2.06594i −0.0899083 0.0899083i
\(529\) 22.8805 2.34151i 0.994804 0.101805i
\(530\) 2.45040 + 1.97146i 0.106439 + 0.0856349i
\(531\) −1.81232 12.6050i −0.0786480 0.547009i
\(532\) 3.64555 1.35972i 0.158055 0.0589514i
\(533\) −4.60377 + 8.43118i −0.199412 + 0.365195i
\(534\) −2.92341 + 3.37380i −0.126509 + 0.145999i
\(535\) −0.834998 + 4.64913i −0.0361001 + 0.200999i
\(536\) 2.05616 + 3.19945i 0.0888126 + 0.138195i
\(537\) −2.35800 + 6.32205i −0.101755 + 0.272816i
\(538\) −12.9905 0.929099i −0.560060 0.0400563i
\(539\) 29.7163 + 19.0975i 1.27997 + 0.822589i
\(540\) 7.07275 + 0.247003i 0.304363 + 0.0106293i
\(541\) 2.07436 14.4275i 0.0891838 0.620287i −0.895386 0.445292i \(-0.853100\pi\)
0.984569 0.174995i \(-0.0559909\pi\)
\(542\) 0.786657 + 3.61621i 0.0337898 + 0.155329i
\(543\) 0.617954 8.64013i 0.0265189 0.370783i
\(544\) −0.438998 0.961272i −0.0188219 0.0412142i
\(545\) −3.32733 + 31.1808i −0.142527 + 1.33564i
\(546\) 0.108420 0.369245i 0.00463995 0.0158022i
\(547\) −16.0514 + 1.14802i −0.686310 + 0.0490859i −0.410140 0.912023i \(-0.634520\pi\)
−0.276171 + 0.961109i \(0.589065\pi\)
\(548\) −6.92474 3.78119i −0.295810 0.161525i
\(549\) 10.9940 24.0736i 0.469214 1.02744i
\(550\) −10.8736 + 23.9098i −0.463651 + 1.01952i
\(551\) 57.7185i 2.45889i
\(552\) 0.135947 + 2.66381i 0.00578631 + 0.113379i
\(553\) 2.27240 2.27240i 0.0966323 0.0966323i
\(554\) 18.7247 2.69221i 0.795537 0.114381i
\(555\) −0.709169 + 0.355687i −0.0301026 + 0.0150981i
\(556\) 3.59513 1.05563i 0.152468 0.0447685i
\(557\) 0.198255 + 2.77196i 0.00840032 + 0.117452i 0.999922 0.0124895i \(-0.00397564\pi\)
−0.991522 + 0.129941i \(0.958521\pi\)
\(558\) −5.51930 + 3.01376i −0.233650 + 0.127583i
\(559\) −10.6103 + 6.81885i −0.448770 + 0.288407i
\(560\) −1.00945 + 0.600013i −0.0426570 + 0.0253552i
\(561\) −2.02191 2.33341i −0.0853650 0.0985165i
\(562\) 19.2880 4.19584i 0.813613 0.176991i
\(563\) −11.9910 + 8.97638i −0.505362 + 0.378309i −0.821323 0.570463i \(-0.806764\pi\)
0.315962 + 0.948772i \(0.397673\pi\)
\(564\) −6.23581 0.896573i −0.262575 0.0377526i
\(565\) 41.1854 + 20.5752i 1.73268 + 0.865605i
\(566\) 15.6917 13.5969i 0.659571 0.571522i
\(567\) −3.10575 1.15839i −0.130429 0.0486476i
\(568\) −1.59229 + 7.31962i −0.0668108 + 0.307124i
\(569\) −25.1786 7.39312i −1.05554 0.309936i −0.292488 0.956269i \(-0.594483\pi\)
−0.763055 + 0.646334i \(0.776301\pi\)
\(570\) −1.64311 9.06611i −0.0688224 0.379738i
\(571\) −0.362523 1.23464i −0.0151711 0.0516681i 0.951560 0.307464i \(-0.0994805\pi\)
−0.966731 + 0.255796i \(0.917662\pi\)
\(572\) −2.41881 6.48508i −0.101136 0.271155i
\(573\) −1.74832 + 2.33549i −0.0730372 + 0.0975663i
\(574\) 3.82894 0.159817
\(575\) 21.9959 9.54890i 0.917291 0.398217i
\(576\) 2.69068 0.112112
\(577\) 26.9647 36.0206i 1.12255 1.49956i 0.280745 0.959782i \(-0.409418\pi\)
0.841809 0.539775i \(-0.181491\pi\)
\(578\) 5.55062 + 14.8818i 0.230875 + 0.619001i
\(579\) 2.91618 + 9.93161i 0.121192 + 0.412743i
\(580\) −3.10655 17.1408i −0.128992 0.711734i
\(581\) 2.17987 + 0.640068i 0.0904363 + 0.0265545i
\(582\) −0.693175 + 3.18648i −0.0287330 + 0.132084i
\(583\) 6.92281 + 2.58207i 0.286713 + 0.106939i
\(584\) 9.39188 8.13811i 0.388639 0.336757i
\(585\) 7.09148 + 3.54273i 0.293197 + 0.146474i
\(586\) −0.160916 0.0231362i −0.00664737 0.000955748i
\(587\) 9.55484 7.15267i 0.394371 0.295222i −0.383629 0.923487i \(-0.625326\pi\)
0.777999 + 0.628265i \(0.216235\pi\)
\(588\) 3.65430 0.794945i 0.150701 0.0327830i
\(589\) 11.3393 + 13.0862i 0.467226 + 0.539208i
\(590\) 9.09723 5.40737i 0.374527 0.222618i
\(591\) 8.35404 5.36881i 0.343639 0.220843i
\(592\) −0.559915 + 0.305737i −0.0230124 + 0.0125657i
\(593\) −0.778132 10.8797i −0.0319541 0.446776i −0.988093 0.153861i \(-0.950829\pi\)
0.956138 0.292915i \(-0.0946253\pi\)
\(594\) 15.9528 4.68417i 0.654553 0.192194i
\(595\) −1.10927 + 0.556359i −0.0454757 + 0.0228085i
\(596\) −3.40787 + 0.489978i −0.139592 + 0.0200703i
\(597\) −8.78921 + 8.78921i −0.359718 + 0.359718i
\(598\) −2.32856 + 5.87411i −0.0952219 + 0.240210i
\(599\) 21.8705i 0.893603i 0.894633 + 0.446801i \(0.147437\pi\)
−0.894633 + 0.446801i \(0.852563\pi\)
\(600\) 0.975920 + 2.60396i 0.0398418 + 0.106306i
\(601\) −13.5802 + 29.7364i −0.553946 + 1.21297i 0.400968 + 0.916092i \(0.368674\pi\)
−0.954914 + 0.296881i \(0.904053\pi\)
\(602\) 4.41229 + 2.40929i 0.179832 + 0.0981954i
\(603\) −10.2071 + 0.730026i −0.415665 + 0.0297290i
\(604\) −1.09973 + 3.74533i −0.0447473 + 0.152395i
\(605\) −3.93781 + 36.9016i −0.160095 + 1.50026i
\(606\) −1.67828 3.67492i −0.0681754 0.149283i
\(607\) −1.60110 + 22.3863i −0.0649866 + 0.908631i 0.855487 + 0.517825i \(0.173258\pi\)
−0.920473 + 0.390806i \(0.872196\pi\)
\(608\) −1.57486 7.23952i −0.0638691 0.293601i
\(609\) 0.323829 2.25228i 0.0131222 0.0912671i
\(610\) 21.9803 + 0.767620i 0.889956 + 0.0310800i
\(611\) −12.5554 8.06885i −0.507936 0.326431i
\(612\) 2.83619 + 0.202848i 0.114646 + 0.00819964i
\(613\) 10.0562 26.9617i 0.406165 1.08897i −0.559420 0.828884i \(-0.688976\pi\)
0.965585 0.260087i \(-0.0837512\pi\)
\(614\) −3.52847 5.49040i −0.142397 0.221575i
\(615\) 1.60284 8.92435i 0.0646328 0.359864i
\(616\) −1.80665 + 2.08499i −0.0727920 + 0.0840065i
\(617\) −12.5339 + 22.9540i −0.504594 + 0.924095i 0.493915 + 0.869510i \(0.335565\pi\)
−0.998509 + 0.0545847i \(0.982616\pi\)
\(618\) 0.560923 0.209213i 0.0225636 0.00841579i
\(619\) −2.25360 15.6741i −0.0905798 0.629996i −0.983652 0.180082i \(-0.942364\pi\)
0.893072 0.449914i \(-0.148545\pi\)
\(620\) −4.07179 3.27595i −0.163527 0.131565i
\(621\) −13.6754 6.58588i −0.548775 0.264282i
\(622\) −11.7919 11.7919i −0.472811 0.472811i
\(623\) 3.37457 + 2.52617i 0.135199 + 0.101209i
\(624\) −0.666563 0.304409i −0.0266839 0.0121861i
\(625\) 18.8418 16.4312i 0.753674 0.657249i
\(626\) −4.41472 3.82537i −0.176448 0.152893i
\(627\) −10.3739 18.9984i −0.414295 0.758724i
\(628\) 0.638859 + 0.138975i 0.0254933 + 0.00554572i
\(629\) −0.613243 + 0.280059i −0.0244516 + 0.0111667i
\(630\) −0.115274 3.15759i −0.00459264 0.125801i
\(631\) −16.0290 + 24.9415i −0.638103 + 0.992907i 0.360096 + 0.932915i \(0.382744\pi\)
−0.998199 + 0.0599918i \(0.980893\pi\)
\(632\) −3.66717 4.89876i −0.145872 0.194862i
\(633\) −2.75868 3.68516i −0.109648 0.146472i
\(634\) −4.13887 + 6.44020i −0.164375 + 0.255773i
\(635\) −27.2550 25.3351i −1.08158 1.00539i
\(636\) 0.711554 0.324956i 0.0282150 0.0128853i
\(637\) 8.65709 + 1.88323i 0.343006 + 0.0746164i
\(638\) −19.6134 35.9193i −0.776504 1.42206i
\(639\) −15.2324 13.1990i −0.602585 0.522143i
\(640\) 0.857340 + 2.06518i 0.0338893 + 0.0816334i
\(641\) 32.7327 + 14.9485i 1.29286 + 0.590431i 0.938694 0.344751i \(-0.112037\pi\)
0.354169 + 0.935182i \(0.384764\pi\)
\(642\) 0.940520 + 0.704065i 0.0371194 + 0.0277872i
\(643\) −22.3579 22.3579i −0.881709 0.881709i 0.111999 0.993708i \(-0.464275\pi\)
−0.993708 + 0.111999i \(0.964275\pi\)
\(644\) 2.49977 0.307485i 0.0985048 0.0121166i
\(645\) 7.46253 9.27544i 0.293837 0.365220i
\(646\) −1.11425 7.74975i −0.0438394 0.304910i
\(647\) 17.3910 6.48650i 0.683710 0.255011i 0.0164822 0.999864i \(-0.494753\pi\)
0.667228 + 0.744853i \(0.267481\pi\)
\(648\) −3.02492 + 5.53973i −0.118830 + 0.217621i
\(649\) 16.2817 18.7901i 0.639112 0.737574i
\(650\) −0.459574 + 6.57176i −0.0180260 + 0.257766i
\(651\) −0.369059 0.574267i −0.0144646 0.0225073i
\(652\) −6.57511 + 17.6286i −0.257501 + 0.690387i
\(653\) 40.9582 + 2.92939i 1.60282 + 0.114636i 0.843882 0.536529i \(-0.180265\pi\)
0.758937 + 0.651165i \(0.225719\pi\)
\(654\) 6.56132 + 4.21671i 0.256568 + 0.164886i
\(655\) 4.39698 + 4.71521i 0.171804 + 0.184238i
\(656\) 1.03760 7.21669i 0.0405116 0.281765i
\(657\) 7.10770 + 32.6735i 0.277298 + 1.27472i
\(658\) −0.424382 + 5.93364i −0.0165441 + 0.231317i
\(659\) −3.50237 7.66912i −0.136433 0.298746i 0.829067 0.559149i \(-0.188872\pi\)
−0.965500 + 0.260402i \(0.916145\pi\)
\(660\) 4.10332 + 5.08367i 0.159721 + 0.197882i
\(661\) 11.8388 40.3192i 0.460475 1.56824i −0.322742 0.946487i \(-0.604605\pi\)
0.783217 0.621748i \(-0.213577\pi\)
\(662\) 14.6071 1.04472i 0.567723 0.0406043i
\(663\) −0.679660 0.371122i −0.0263958 0.0144132i
\(664\) 1.79711 3.93511i 0.0697413 0.152712i
\(665\) −8.42830 + 2.15830i −0.326836 + 0.0836952i
\(666\) 1.71652i 0.0665137i
\(667\) −8.68523 + 36.3384i −0.336293 + 1.40703i
\(668\) 3.64166 3.64166i 0.140900 0.140900i
\(669\) 3.23610 0.465281i 0.125115 0.0179888i
\(670\) −3.81264 7.60165i −0.147295 0.293678i
\(671\) 49.5773 14.5572i 1.91391 0.561974i
\(672\) 0.0208367 + 0.291336i 0.000803794 + 0.0112385i
\(673\) −8.53847 + 4.66236i −0.329134 + 0.179721i −0.635316 0.772252i \(-0.719130\pi\)
0.306182 + 0.951973i \(0.400948\pi\)
\(674\) −19.3785 + 12.4538i −0.746431 + 0.479702i
\(675\) −15.6673 2.22732i −0.603033 0.0857296i
\(676\) 7.37637 + 8.51278i 0.283707 + 0.327415i
\(677\) 2.46883 0.537060i 0.0948847 0.0206409i −0.164872 0.986315i \(-0.552721\pi\)
0.259757 + 0.965674i \(0.416358\pi\)
\(678\) 9.16700 6.86233i 0.352056 0.263546i
\(679\) 3.04790 + 0.438222i 0.116968 + 0.0168174i
\(680\) 0.748011 + 2.24149i 0.0286849 + 0.0859574i
\(681\) −5.47366 + 4.74296i −0.209751 + 0.181750i
\(682\) −11.5035 4.29058i −0.440492 0.164295i
\(683\) 0.750076 3.44804i 0.0287008 0.131936i −0.960567 0.278048i \(-0.910313\pi\)
0.989268 + 0.146113i \(0.0466762\pi\)
\(684\) 19.1273 + 5.61628i 0.731351 + 0.214744i
\(685\) 14.4996 + 10.0503i 0.554002 + 0.384001i
\(686\) −2.03059 6.91554i −0.0775281 0.264037i
\(687\) −1.17195 3.14212i −0.0447126 0.119879i
\(688\) 5.73666 7.66328i 0.218708 0.292160i
\(689\) 1.85315 0.0705992
\(690\) 0.329760 5.95509i 0.0125538 0.226706i
\(691\) 6.22325 0.236744 0.118372 0.992969i \(-0.462233\pi\)
0.118372 + 0.992969i \(0.462233\pi\)
\(692\) 13.2248 17.6662i 0.502730 0.671568i
\(693\) −2.59412 6.95510i −0.0985424 0.264202i
\(694\) −5.23196 17.8184i −0.198602 0.676378i
\(695\) −8.24404 + 1.49412i −0.312714 + 0.0566753i
\(696\) −4.15729 1.22069i −0.157582 0.0462702i
\(697\) 1.63778 7.52873i 0.0620352 0.285171i
\(698\) 2.95553 + 1.10236i 0.111869 + 0.0417248i
\(699\) 2.88430 2.49926i 0.109094 0.0945306i
\(700\) 2.38681 1.09459i 0.0902131 0.0413715i
\(701\) 39.1319 + 5.62632i 1.47799 + 0.212503i 0.833675 0.552255i \(-0.186233\pi\)
0.644317 + 0.764758i \(0.277142\pi\)
\(702\) 3.33828 2.49901i 0.125995 0.0943190i
\(703\) −4.61845 + 1.00468i −0.174188 + 0.0378923i
\(704\) 3.44015 + 3.97014i 0.129655 + 0.149630i
\(705\) 13.6522 + 3.47303i 0.514173 + 0.130802i
\(706\) 1.92412 1.23656i 0.0724153 0.0465385i
\(707\) −3.34819 + 1.82825i −0.125922 + 0.0687585i
\(708\) −0.187782 2.62554i −0.00705729 0.0986738i
\(709\) −32.3689 + 9.50437i −1.21564 + 0.356944i −0.825813 0.563944i \(-0.809283\pi\)
−0.389827 + 0.920888i \(0.627465\pi\)
\(710\) 5.27706 15.8970i 0.198044 0.596603i
\(711\) 16.2975 2.34323i 0.611205 0.0878780i
\(712\) 5.67574 5.67574i 0.212707 0.212707i
\(713\) 5.16981 + 9.94509i 0.193611 + 0.372447i
\(714\) 0.308661i 0.0115514i
\(715\) 3.83940 + 14.9931i 0.143585 + 0.560711i
\(716\) 5.03987 11.0358i 0.188349 0.412426i
\(717\) 3.96593 + 2.16556i 0.148110 + 0.0808744i
\(718\) −5.90117 + 0.422060i −0.220230 + 0.0157511i
\(719\) −5.00629 + 17.0499i −0.186703 + 0.635852i 0.811938 + 0.583743i \(0.198412\pi\)
−0.998641 + 0.0521090i \(0.983406\pi\)
\(720\) −5.98258 0.638407i −0.222957 0.0237920i
\(721\) −0.234835 0.514216i −0.00874570 0.0191504i
\(722\) 2.56043 35.7994i 0.0952892 1.33232i
\(723\) −1.85704 8.53665i −0.0690639 0.317482i
\(724\) −2.21653 + 15.4163i −0.0823768 + 0.572943i
\(725\) 2.84030 + 38.8488i 0.105486 + 1.44281i
\(726\) 7.76516 + 4.99036i 0.288192 + 0.185210i
\(727\) −29.6577 2.12116i −1.09994 0.0786694i −0.490456 0.871466i \(-0.663170\pi\)
−0.609486 + 0.792796i \(0.708624\pi\)
\(728\) −0.241808 + 0.648313i −0.00896201 + 0.0240281i
\(729\) −6.32674 9.84460i −0.234324 0.364615i
\(730\) −22.8132 + 15.8663i −0.844355 + 0.587236i
\(731\) 6.62461 7.64521i 0.245020 0.282768i
\(732\) 2.62167 4.80123i 0.0968998 0.177459i
\(733\) −36.0395 + 13.4420i −1.33115 + 0.496493i −0.911540 0.411211i \(-0.865106\pi\)
−0.419610 + 0.907705i \(0.637833\pi\)
\(734\) −3.09697 21.5399i −0.114311 0.795052i
\(735\) −8.31375 + 0.900473i −0.306657 + 0.0332145i
\(736\) 0.0978717 4.79483i 0.00360760 0.176740i
\(737\) −14.1274 14.1274i −0.520388 0.520388i
\(738\) 15.7046 + 11.7563i 0.578095 + 0.432756i
\(739\) 33.1917 + 15.1581i 1.22097 + 0.557600i 0.918448 0.395541i \(-0.129443\pi\)
0.302526 + 0.953141i \(0.402170\pi\)
\(740\) 1.31748 0.546939i 0.0484315 0.0201059i
\(741\) −4.10302 3.55528i −0.150728 0.130607i
\(742\) −0.353995 0.648293i −0.0129956 0.0237996i
\(743\) −22.2454 4.83918i −0.816104 0.177532i −0.214908 0.976634i \(-0.568945\pi\)
−0.601196 + 0.799102i \(0.705309\pi\)
\(744\) −1.18238 + 0.539973i −0.0433480 + 0.0197964i
\(745\) 7.69348 0.280867i 0.281867 0.0102902i
\(746\) 2.38181 3.70617i 0.0872042 0.135692i
\(747\) 6.97560 + 9.31832i 0.255224 + 0.340939i
\(748\) 3.32687 + 4.44418i 0.121643 + 0.162495i
\(749\) 0.599772 0.933264i 0.0219152 0.0341007i
\(750\) −1.55207 6.02130i −0.0566737 0.219867i
\(751\) −34.3558 + 15.6898i −1.25366 + 0.572528i −0.927866 0.372913i \(-0.878359\pi\)
−0.325794 + 0.945441i \(0.605632\pi\)
\(752\) 11.0686 + 2.40782i 0.403629 + 0.0878042i
\(753\) 2.73651 + 5.01154i 0.0997238 + 0.182631i
\(754\) −7.75736 6.72179i −0.282506 0.244793i
\(755\) 3.33382 8.06660i 0.121330 0.293574i
\(756\) −1.51193 0.690475i −0.0549883 0.0251123i
\(757\) 26.3332 + 19.7128i 0.957096 + 0.716473i 0.958965 0.283525i \(-0.0915039\pi\)
−0.00186877 + 0.999998i \(0.500595\pi\)
\(758\) 18.2961 + 18.2961i 0.664544 + 0.664544i
\(759\) −3.67241 13.5220i −0.133300 0.490819i
\(760\) 1.78392 + 16.4703i 0.0647097 + 0.597442i
\(761\) 3.68712 + 25.6445i 0.133658 + 0.929612i 0.940729 + 0.339158i \(0.110142\pi\)
−0.807071 + 0.590454i \(0.798949\pi\)
\(762\) −8.67189 + 3.23445i −0.314150 + 0.117172i
\(763\) 3.52955 6.46388i 0.127778 0.234008i
\(764\) 3.43509 3.96431i 0.124277 0.143424i
\(765\) −6.25797 1.12395i −0.226257 0.0406366i
\(766\) −17.6356 27.4416i −0.637202 0.991506i
\(767\) 2.17920 5.84265i 0.0786862 0.210966i
\(768\) 0.554748 + 0.0396764i 0.0200178 + 0.00143170i
\(769\) −24.8725 15.9846i −0.896924 0.576418i 0.00895272 0.999960i \(-0.497150\pi\)
−0.905876 + 0.423542i \(0.860787\pi\)
\(770\) 4.51168 4.20719i 0.162590 0.151617i
\(771\) −2.18051 + 15.1658i −0.0785291 + 0.546182i
\(772\) −3.95609 18.1858i −0.142383 0.654523i
\(773\) −2.03740 + 28.4865i −0.0732801 + 1.02459i 0.819202 + 0.573506i \(0.194417\pi\)
−0.892482 + 0.451084i \(0.851038\pi\)
\(774\) 10.6998 + 23.4293i 0.384596 + 0.842148i
\(775\) 8.27612 + 8.24998i 0.297287 + 0.296348i
\(776\) 1.65190 5.62586i 0.0592998 0.201956i
\(777\) 0.185857 0.0132928i 0.00666759 0.000476876i
\(778\) −17.6509 9.63813i −0.632816 0.345544i
\(779\) 22.4395 49.1357i 0.803979 1.76047i
\(780\) 1.40984 + 0.834989i 0.0504803 + 0.0298974i
\(781\) 39.3511i 1.40809i
\(782\) 0.464643 5.04675i 0.0166156 0.180471i
\(783\) 17.4348 17.4348i 0.623070 0.623070i
\(784\) −6.65576 + 0.956953i −0.237706 + 0.0341769i
\(785\) −1.38749 0.460583i −0.0495218 0.0164389i
\(786\) 1.53863 0.451781i 0.0548810 0.0161145i
\(787\) 3.73501 + 52.2222i 0.133139 + 1.86152i 0.425172 + 0.905112i \(0.360214\pi\)
−0.292034 + 0.956408i \(0.594332\pi\)
\(788\) −15.6712 + 8.55710i −0.558262 + 0.304834i
\(789\) −10.1339 + 6.51266i −0.360777 + 0.231857i
\(790\) 6.99143 + 11.7622i 0.248744 + 0.418481i
\(791\) −7.08085 8.17174i −0.251766 0.290554i
\(792\) −13.8118 + 3.00457i −0.490780 + 0.106763i
\(793\) 10.3745 7.76627i 0.368410 0.275788i
\(794\) −20.0402 2.88134i −0.711199 0.102255i
\(795\) −1.65920 + 0.553694i −0.0588459 + 0.0196375i
\(796\) 16.8904 14.6356i 0.598663 0.518744i
\(797\) −11.0339 4.11544i −0.390841 0.145776i 0.146358 0.989232i \(-0.453245\pi\)
−0.537199 + 0.843455i \(0.680518\pi\)
\(798\) −0.459985 + 2.11452i −0.0162833 + 0.0748531i
\(799\) 11.4856 + 3.37248i 0.406332 + 0.119310i
\(800\) −1.41625 4.79523i −0.0500720 0.169537i
\(801\) 6.08466 + 20.7225i 0.214991 + 0.732192i
\(802\) 11.7063 + 31.3859i 0.413365 + 1.10827i
\(803\) −39.1228 + 52.2620i −1.38061 + 1.84429i
\(804\) −2.11520 −0.0745975
\(805\) −5.63106 + 0.0905655i −0.198469 + 0.00319201i
\(806\) −3.07934 −0.108465
\(807\) 4.34076 5.79858i 0.152802 0.204120i
\(808\) 2.53852 + 6.80603i 0.0893047 + 0.239435i
\(809\) −15.6159 53.1828i −0.549025 1.86981i −0.490342 0.871530i \(-0.663128\pi\)
−0.0586831 0.998277i \(-0.518690\pi\)
\(810\) 8.04014 11.5996i 0.282502 0.407568i
\(811\) 22.1255 + 6.49663i 0.776931 + 0.228128i 0.646075 0.763274i \(-0.276409\pi\)
0.130856 + 0.991401i \(0.458227\pi\)
\(812\) −0.869670 + 3.99781i −0.0305194 + 0.140296i
\(813\) −1.92847 0.719283i −0.0676345 0.0252264i
\(814\) 2.53275 2.19464i 0.0887727 0.0769220i
\(815\) 18.8020 37.6361i 0.658607 1.31833i
\(816\) 0.581757 + 0.0836440i 0.0203656 + 0.00292813i
\(817\) 56.7760 42.5020i 1.98634 1.48696i
\(818\) 8.40812 1.82908i 0.293983 0.0639521i
\(819\) −1.21921 1.40705i −0.0426027 0.0491662i
\(820\) −4.01933 + 15.7997i −0.140361 + 0.551750i
\(821\) −32.7325 + 21.0359i −1.14237 + 0.734157i −0.968106 0.250542i \(-0.919391\pi\)
−0.174265 + 0.984699i \(0.555755\pi\)
\(822\) 3.85130 2.10297i 0.134329 0.0733494i
\(823\) −3.30595 46.2232i −0.115238 1.61124i −0.645742 0.763556i \(-0.723452\pi\)
0.530504 0.847682i \(-0.322003\pi\)
\(824\) −1.03282 + 0.303263i −0.0359800 + 0.0105647i
\(825\) −7.91731 12.2768i −0.275646 0.427425i
\(826\) −2.46024 + 0.353728i −0.0856025 + 0.0123078i
\(827\) 22.8503 22.8503i 0.794583 0.794583i −0.187653 0.982235i \(-0.560088\pi\)
0.982235 + 0.187653i \(0.0600879\pi\)
\(828\) 11.1970 + 6.41409i 0.389124 + 0.222905i
\(829\) 13.5060i 0.469082i 0.972106 + 0.234541i \(0.0753588\pi\)
−0.972106 + 0.234541i \(0.924641\pi\)
\(830\) −4.92944 + 8.32312i −0.171103 + 0.288900i
\(831\) −4.37064 + 9.57036i −0.151616 + 0.331992i
\(832\) 1.15640 + 0.631441i 0.0400909 + 0.0218913i
\(833\) −7.08783 + 0.506932i −0.245579 + 0.0175641i
\(834\) −0.587103 + 1.99949i −0.0203297 + 0.0692367i
\(835\) −8.96108 + 7.23299i −0.310111 + 0.250308i
\(836\) 16.1681 + 35.4033i 0.559187 + 1.22445i
\(837\) 0.527694 7.37813i 0.0182398 0.255025i
\(838\) −2.03684 9.36320i −0.0703615 0.323446i
\(839\) −7.03619 + 48.9378i −0.242916 + 1.68952i 0.394416 + 0.918932i \(0.370947\pi\)
−0.637333 + 0.770589i \(0.719962\pi\)
\(840\) 0.0227947 0.652712i 0.000786493 0.0225207i
\(841\) −26.6608 17.1338i −0.919337 0.590822i
\(842\) −9.89348 0.707596i −0.340952 0.0243854i
\(843\) −3.83648 + 10.2860i −0.132135 + 0.354269i
\(844\) 4.47484 + 6.96299i 0.154030 + 0.239676i
\(845\) −14.3812 20.6779i −0.494727 0.711340i
\(846\) −19.9592 + 23.0341i −0.686211 + 0.791929i
\(847\) 4.17713 7.64984i 0.143528 0.262851i
\(848\) −1.31782 + 0.491520i −0.0452540 + 0.0168789i
\(849\) 1.64341 + 11.4302i 0.0564017 + 0.392283i
\(850\) −1.13133 5.16132i −0.0388043 0.177032i
\(851\) −3.05886 0.0624372i −0.104856 0.00214032i
\(852\) −2.94590 2.94590i −0.100925 0.100925i
\(853\) 26.6226 + 19.9294i 0.911540 + 0.682370i 0.948443 0.316949i \(-0.102658\pi\)
−0.0369028 + 0.999319i \(0.511749\pi\)
\(854\) −4.69868 2.14582i −0.160786 0.0734283i
\(855\) −41.1960 17.0258i −1.40887 0.582269i
\(856\) −1.59646 1.38334i −0.0545659 0.0472816i
\(857\) 2.87548 + 5.26605i 0.0982246 + 0.179885i 0.922171 0.386783i \(-0.126414\pi\)
−0.823946 + 0.566668i \(0.808232\pi\)
\(858\) 3.76152 + 0.818268i 0.128416 + 0.0279352i
\(859\) 12.2946 5.61474i 0.419485 0.191572i −0.194478 0.980907i \(-0.562301\pi\)
0.613964 + 0.789334i \(0.289574\pi\)
\(860\) −14.5734 + 15.6778i −0.496948 + 0.534607i
\(861\) −1.15131 + 1.79147i −0.0392365 + 0.0610531i
\(862\) 14.5525 + 19.4399i 0.495661 + 0.662126i
\(863\) 15.1427 + 20.2283i 0.515464 + 0.688580i 0.980457 0.196735i \(-0.0630338\pi\)
−0.464992 + 0.885315i \(0.653943\pi\)
\(864\) −1.71111 + 2.66253i −0.0582130 + 0.0905812i
\(865\) −33.5961 + 36.1420i −1.14230 + 1.22887i
\(866\) −2.97654 + 1.35934i −0.101147 + 0.0461923i
\(867\) −8.63183 1.87774i −0.293152 0.0637714i
\(868\) 0.588226 + 1.07726i 0.0199657 + 0.0365645i
\(869\) 24.2945 + 21.0513i 0.824135 + 0.714117i
\(870\) 8.95388 + 3.70052i 0.303565 + 0.125460i
\(871\) −4.55812 2.08162i −0.154446 0.0705331i
\(872\) −11.2265 8.40405i −0.380177 0.284597i
\(873\) 11.1556 + 11.1556i 0.377561 + 0.377561i
\(874\) 10.7040 33.8809i 0.362070 1.14604i
\(875\) −5.56666 + 1.86745i −0.188187 + 0.0631312i
\(876\) 0.983623 + 6.84125i 0.0332335 + 0.231144i
\(877\) −23.7837 + 8.87087i −0.803119 + 0.299548i −0.717302 0.696763i \(-0.754623\pi\)
−0.0858176 + 0.996311i \(0.527350\pi\)
\(878\) 10.6025 19.4171i 0.357819 0.655296i
\(879\) 0.0592100 0.0683320i 0.00199710 0.00230478i
\(880\) −6.70699 9.64361i −0.226093 0.325086i
\(881\) −8.39993 13.0705i −0.283001 0.440358i 0.670429 0.741974i \(-0.266110\pi\)
−0.953429 + 0.301616i \(0.902474\pi\)
\(882\) 6.32274 16.9519i 0.212898 0.570801i
\(883\) 10.0467 + 0.718556i 0.338099 + 0.0241813i 0.239357 0.970932i \(-0.423063\pi\)
0.0987425 + 0.995113i \(0.468518\pi\)
\(884\) 1.17133 + 0.752767i 0.0393960 + 0.0253183i
\(885\) −0.205428 + 5.88230i −0.00690539 + 0.197731i
\(886\) 4.36358 30.3494i 0.146597 1.01961i
\(887\) −11.9253 54.8198i −0.400413 1.84067i −0.528537 0.848910i \(-0.677259\pi\)
0.128124 0.991758i \(-0.459104\pi\)
\(888\) 0.0253115 0.353901i 0.000849399 0.0118762i
\(889\) 3.63056 + 7.94981i 0.121765 + 0.266628i
\(890\) −13.9664 + 11.2730i −0.468153 + 0.377873i
\(891\) 9.34153 31.8143i 0.312953 1.06582i
\(892\) −5.86345 + 0.419362i −0.196323 + 0.0140413i
\(893\) 73.6576 + 40.2201i 2.46486 + 1.34591i
\(894\) 0.795450 1.74179i 0.0266038 0.0582543i
\(895\) −13.8243 + 23.3416i −0.462095 + 0.780225i
\(896\) 0.525167i 0.0175446i
\(897\) −2.04819 2.85574i −0.0683871 0.0953503i
\(898\) −28.3919 + 28.3919i −0.947450 + 0.947450i
\(899\) −18.0222 + 2.59120i −0.601074 + 0.0864214i
\(900\) 13.1505 + 2.83893i 0.438348 + 0.0946309i
\(901\) −1.42614 + 0.418751i −0.0475114 + 0.0139506i
\(902\) 2.73236 + 38.2033i 0.0909775 + 1.27203i
\(903\) −2.45396 + 1.33997i −0.0816628 + 0.0445913i
\(904\) −17.3207 + 11.1314i −0.576079 + 0.370223i
\(905\) 8.58611 33.7514i 0.285412 1.12194i
\(906\) −1.42168 1.64070i −0.0472321 0.0545087i
\(907\) −32.0464 + 6.97127i −1.06408 + 0.231477i −0.710335 0.703864i \(-0.751457\pi\)
−0.353748 + 0.935341i \(0.615093\pi\)
\(908\) 10.4251 7.80412i 0.345969 0.258989i
\(909\) −19.3462 2.78157i −0.641674 0.0922588i
\(910\) 0.691470 1.38412i 0.0229220 0.0458830i
\(911\) 7.84903 6.80122i 0.260050 0.225334i −0.515071 0.857148i \(-0.672234\pi\)
0.775121 + 0.631813i \(0.217689\pi\)
\(912\) 3.86074 + 1.43998i 0.127842 + 0.0476825i
\(913\) −4.83072 + 22.2065i −0.159873 + 0.734927i
\(914\) 20.7027 + 6.07886i 0.684784 + 0.201071i
\(915\) −6.96831 + 10.0532i −0.230365 + 0.332350i
\(916\) 1.69879 + 5.78554i 0.0561295 + 0.191160i
\(917\) −0.529160 1.41873i −0.0174744 0.0468507i
\(918\) −2.00437 + 2.67752i −0.0661539 + 0.0883713i
\(919\) −28.9282 −0.954253 −0.477126 0.878835i \(-0.658322\pi\)
−0.477126 + 0.878835i \(0.658322\pi\)
\(920\) −1.35526 + 10.6378i −0.0446817 + 0.350719i
\(921\) 3.62979 0.119606
\(922\) −9.72131 + 12.9862i −0.320154 + 0.427676i
\(923\) −3.44908 9.24733i −0.113528 0.304380i
\(924\) −0.432281 1.47221i −0.0142210 0.0484323i
\(925\) −3.05911 + 0.903496i −0.100583 + 0.0297068i
\(926\) 2.62618 + 0.771116i 0.0863016 + 0.0253404i
\(927\) 0.615654 2.83012i 0.0202207 0.0929532i
\(928\) 7.29930 + 2.72250i 0.239611 + 0.0893704i
\(929\) −14.5723 + 12.6270i −0.478102 + 0.414278i −0.860289 0.509808i \(-0.829717\pi\)
0.382187 + 0.924085i \(0.375171\pi\)
\(930\) 2.75707 0.920063i 0.0904077 0.0301700i
\(931\) −49.3114 7.08991i −1.61612 0.232362i
\(932\) −5.49340 + 4.11231i −0.179942 + 0.134703i
\(933\) 9.06279 1.97149i 0.296702 0.0645437i
\(934\) −13.7690 15.8903i −0.450536 0.519946i
\(935\) −6.34267 10.6708i −0.207427 0.348971i
\(936\) −2.98236 + 1.91665i −0.0974815 + 0.0626476i
\(937\) −51.4904 + 28.1159i −1.68212 + 0.918505i −0.704067 + 0.710133i \(0.748635\pi\)
−0.978050 + 0.208372i \(0.933183\pi\)
\(938\) 0.142487 + 1.99222i 0.00465235 + 0.0650483i
\(939\) 3.11724 0.915305i 0.101727 0.0298699i
\(940\) −24.0391 7.97985i −0.784067 0.260274i
\(941\) 7.01161 1.00812i 0.228572 0.0328637i −0.0270771 0.999633i \(-0.508620\pi\)
0.255649 + 0.966770i \(0.417711\pi\)
\(942\) −0.257119 + 0.257119i −0.00837739 + 0.00837739i
\(943\) 21.5212 27.5582i 0.700826 0.897419i
\(944\) 4.73285i 0.154041i
\(945\) 3.19786 + 1.89396i 0.104026 + 0.0616106i
\(946\) −20.8901 + 45.7430i −0.679197 + 1.48723i
\(947\) 46.7003 + 25.5003i 1.51755 + 0.828647i 0.999641 0.0267858i \(-0.00852720\pi\)
0.517913 + 0.855433i \(0.326709\pi\)
\(948\) 3.39468 0.242792i 0.110254 0.00788553i
\(949\) −4.61299 + 15.7104i −0.149744 + 0.509981i
\(950\) −0.0586026 37.0441i −0.00190132 1.20187i
\(951\) −1.76872 3.87295i −0.0573546 0.125589i
\(952\) 0.0395919 0.553567i 0.00128318 0.0179412i
\(953\) −8.70173 40.0012i −0.281877 1.29577i −0.872419 0.488760i \(-0.837450\pi\)
0.590542 0.807007i \(-0.298914\pi\)
\(954\) 0.538580 3.74591i 0.0174372 0.121278i
\(955\) −8.57833 + 7.99939i −0.277588 + 0.258854i
\(956\) −6.83491 4.39253i −0.221057 0.142064i
\(957\) 22.7033 + 1.62377i 0.733893 + 0.0524891i
\(958\) 9.69028 25.9806i 0.313079 0.839397i
\(959\) −2.24013 3.48571i −0.0723376 0.112560i
\(960\) −1.22404 0.219841i −0.0395057 0.00709535i
\(961\) 16.7237 19.3001i 0.539473 0.622585i
\(962\) 0.402827 0.737723i 0.0129877 0.0237851i
\(963\) 5.32548 1.98630i 0.171611 0.0640076i
\(964\) 2.23550 + 15.5482i 0.0720005 + 0.500774i
\(965\) 4.48126 + 41.3739i 0.144257 + 1.33187i
\(966\) −0.607781 + 1.26204i −0.0195550 + 0.0406055i
\(967\) 9.82303 + 9.82303i 0.315887 + 0.315887i 0.847185 0.531298i \(-0.178295\pi\)
−0.531298 + 0.847185i \(0.678295\pi\)
\(968\) −13.2863 9.94597i −0.427037 0.319676i
\(969\) 3.96096 + 1.80891i 0.127244 + 0.0581106i
\(970\) −5.00773 + 12.1168i −0.160789 + 0.389048i
\(971\) −33.1961 28.7646i −1.06531 0.923099i −0.0680982 0.997679i \(-0.521693\pi\)
−0.997215 + 0.0745794i \(0.976239\pi\)
\(972\) −6.23277 11.4145i −0.199916 0.366119i
\(973\) 1.92278 + 0.418276i 0.0616416 + 0.0134093i
\(974\) −12.6201 + 5.76340i −0.404374 + 0.184671i
\(975\) −2.93658 2.19106i −0.0940460 0.0701701i
\(976\) −5.31768 + 8.27446i −0.170215 + 0.264859i
\(977\) −4.39223 5.86733i −0.140520 0.187712i 0.724760 0.689001i \(-0.241950\pi\)
−0.865280 + 0.501289i \(0.832860\pi\)
\(978\) −6.27094 8.37699i −0.200522 0.267867i
\(979\) −22.7968 + 35.4725i −0.728589 + 1.13371i
\(980\) 15.0258 0.548547i 0.479980 0.0175227i
\(981\) 34.3232 15.6749i 1.09586 0.500461i
\(982\) 4.74092 + 1.03132i 0.151289 + 0.0329109i
\(983\) 3.36274 + 6.15839i 0.107255 + 0.196422i 0.925794 0.378028i \(-0.123398\pi\)
−0.818539 + 0.574450i \(0.805216\pi\)
\(984\) 3.06453 + 2.65543i 0.0976935 + 0.0846519i
\(985\) 36.8743 15.3080i 1.17491 0.487753i
\(986\) 7.48878 + 3.42001i 0.238491 + 0.108915i
\(987\) −2.64860 1.98272i −0.0843059 0.0631106i
\(988\) 6.90250 + 6.90250i 0.219598 + 0.219598i
\(989\) 42.1405 18.2150i 1.33999 0.579202i
\(990\) 31.4226 3.40342i 0.998676 0.108168i
\(991\) −1.13966 7.92653i −0.0362026 0.251795i 0.963681 0.267056i \(-0.0860510\pi\)
−0.999884 + 0.0152617i \(0.995142\pi\)
\(992\) 2.18979 0.816749i 0.0695259 0.0259318i
\(993\) −3.90336 + 7.14847i −0.123869 + 0.226850i
\(994\) −2.57617 + 2.97306i −0.0817112 + 0.0942998i
\(995\) −41.0273 + 28.5339i −1.30065 + 0.904585i
\(996\) 1.30078 + 2.02406i 0.0412169 + 0.0641347i
\(997\) −4.04227 + 10.8377i −0.128020 + 0.343235i −0.985108 0.171935i \(-0.944998\pi\)
0.857088 + 0.515169i \(0.172271\pi\)
\(998\) −34.4764 2.46580i −1.09133 0.0780536i
\(999\) 1.69856 + 1.09160i 0.0537401 + 0.0345367i
Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))

Twists

       By twisting character
Char Parity Ord Type Twist Min Dim
1.1 even 1 trivial 230.2.l.a.227.11 yes 240
5.3 odd 4 inner 230.2.l.a.43.2 240
23.15 odd 22 inner 230.2.l.a.107.2 yes 240
115.38 even 44 inner 230.2.l.a.153.11 yes 240
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
230.2.l.a.43.2 240 5.3 odd 4 inner
230.2.l.a.107.2 yes 240 23.15 odd 22 inner
230.2.l.a.153.11 yes 240 115.38 even 44 inner
230.2.l.a.227.11 yes 240 1.1 even 1 trivial