Properties

Label 441.2.z.a.142.39
Level $441$
Weight $2$
Character 441.142
Analytic conductor $3.521$
Analytic rank $0$
Dimension $648$
CM no
Inner twists $2$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [441,2,Mod(4,441)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(441, base_ring=CyclotomicField(42))
 
chi = DirichletCharacter(H, H._module([14, 10]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("441.4");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 441 = 3^{2} \cdot 7^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 441.z (of order \(21\), degree \(12\), minimal)

Newform invariants

comment: select newform
 
sage: f = N[0] # Warning: the index may be different
 
gp: f = lf[1] \\ Warning: the index may be different
 
Self dual: no
Analytic conductor: \(3.52140272914\)
Analytic rank: \(0\)
Dimension: \(648\)
Relative dimension: \(54\) over \(\Q(\zeta_{21})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{21}]$

Embedding invariants

Embedding label 142.39
Character \(\chi\) \(=\) 441.142
Dual form 441.2.z.a.382.39

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(0.485097 - 1.23601i) q^{2} +(0.455479 - 1.67109i) q^{3} +(0.173711 + 0.161180i) q^{4} +(-2.77602 + 1.33686i) q^{5} +(-1.84453 - 1.37362i) q^{6} +(2.57021 - 0.627724i) q^{7} +(2.67608 - 1.28873i) q^{8} +(-2.58508 - 1.52229i) q^{9} +O(q^{10})\) \(q+(0.485097 - 1.23601i) q^{2} +(0.455479 - 1.67109i) q^{3} +(0.173711 + 0.161180i) q^{4} +(-2.77602 + 1.33686i) q^{5} +(-1.84453 - 1.37362i) q^{6} +(2.57021 - 0.627724i) q^{7} +(2.67608 - 1.28873i) q^{8} +(-2.58508 - 1.52229i) q^{9} +(0.305731 + 4.07969i) q^{10} +(-3.53921 - 4.43803i) q^{11} +(0.348468 - 0.216872i) q^{12} +(1.73107 - 4.41069i) q^{13} +(0.470928 - 3.48130i) q^{14} +(0.969595 + 5.24790i) q^{15} +(-0.259307 - 3.46020i) q^{16} +(-2.81731 + 2.61409i) q^{17} +(-3.13558 + 2.45671i) q^{18} +(1.03060 - 1.78505i) q^{19} +(-0.697700 - 0.215212i) q^{20} +(0.121693 - 4.58096i) q^{21} +(-7.20230 + 2.22162i) q^{22} +(0.366959 - 1.60775i) q^{23} +(-0.934689 - 5.05897i) q^{24} +(2.80166 - 3.51317i) q^{25} +(-4.61191 - 4.27922i) q^{26} +(-3.72134 + 3.62652i) q^{27} +(0.547649 + 0.305223i) q^{28} +(9.59996 + 2.96119i) q^{29} +(6.95678 + 1.34731i) q^{30} +(-1.22619 + 2.12382i) q^{31} +(1.27392 + 0.392951i) q^{32} +(-9.02839 + 3.89291i) q^{33} +(1.86436 + 4.75030i) q^{34} +(-6.29577 + 5.17859i) q^{35} +(-0.203692 - 0.681101i) q^{36} +(5.45355 + 1.68220i) q^{37} +(-1.70639 - 2.13975i) q^{38} +(-6.58219 - 4.90175i) q^{39} +(-5.70601 + 7.15511i) q^{40} +(5.89108 + 4.01647i) q^{41} +(-5.60306 - 2.37262i) q^{42} +(-3.27676 + 2.23406i) q^{43} +(0.100523 - 1.34138i) q^{44} +(9.21133 + 0.770028i) q^{45} +(-1.80918 - 1.23348i) q^{46} +(-3.63508 + 9.26203i) q^{47} +(-5.90042 - 1.14273i) q^{48} +(6.21193 - 3.22676i) q^{49} +(-2.98322 - 5.16709i) q^{50} +(3.08514 + 5.89864i) q^{51} +(1.01162 - 0.487170i) q^{52} +(4.16059 - 1.28337i) q^{53} +(2.67720 + 6.35881i) q^{54} +(15.7580 + 7.58865i) q^{55} +(6.06912 - 4.99215i) q^{56} +(-2.51356 - 2.53527i) q^{57} +(8.31696 - 10.4291i) q^{58} +(-7.34904 + 5.01049i) q^{59} +(-0.677426 + 1.06789i) q^{60} +(-2.44221 + 2.26604i) q^{61} +(2.03023 + 2.54583i) q^{62} +(-7.59976 - 2.28989i) q^{63} +(5.43057 - 6.80971i) q^{64} +(1.09100 + 14.5584i) q^{65} +(0.432019 + 13.0476i) q^{66} +(-0.887666 + 1.53748i) q^{67} -0.910735 q^{68} +(-2.51955 - 1.34552i) q^{69} +(3.34671 + 10.2937i) q^{70} +(2.76975 - 12.1351i) q^{71} +(-8.87971 - 0.742306i) q^{72} +(0.964058 + 0.145308i) q^{73} +(4.72470 - 5.92459i) q^{74} +(-4.59472 - 6.28199i) q^{75} +(0.466740 - 0.143970i) q^{76} +(-11.8824 - 9.18502i) q^{77} +(-9.25159 + 5.75781i) q^{78} +(-0.278259 - 0.481959i) q^{79} +(5.34566 + 9.25895i) q^{80} +(4.36525 + 7.87049i) q^{81} +(7.82212 - 5.33303i) q^{82} +(-2.13307 - 5.43496i) q^{83} +(0.759498 - 0.776147i) q^{84} +(4.32626 - 11.0231i) q^{85} +(1.17176 + 5.13383i) q^{86} +(9.32100 - 14.6936i) q^{87} +(-15.1907 - 7.31545i) q^{88} +(-0.772012 - 1.96705i) q^{89} +(5.42015 - 11.0117i) q^{90} +(1.68051 - 12.4230i) q^{91} +(0.322882 - 0.220137i) q^{92} +(2.99059 + 3.01642i) q^{93} +(9.68456 + 8.98596i) q^{94} +(-0.474601 + 6.33311i) q^{95} +(1.23690 - 1.94985i) q^{96} +(-1.28026 + 2.21747i) q^{97} +(-0.974912 - 9.24327i) q^{98} +(2.39316 + 16.8604i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 648 q - 8 q^{2} - 13 q^{3} + 44 q^{4} + 3 q^{5} + 2 q^{6} - 7 q^{7} - 16 q^{8} - 39 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 648 q - 8 q^{2} - 13 q^{3} + 44 q^{4} + 3 q^{5} + 2 q^{6} - 7 q^{7} - 16 q^{8} - 39 q^{9} - 22 q^{10} - 5 q^{11} + 2 q^{12} - 4 q^{13} + 52 q^{14} - 4 q^{15} + 38 q^{16} - 37 q^{17} - 16 q^{18} - 14 q^{19} - 11 q^{20} - 6 q^{21} - q^{22} - 20 q^{23} - 26 q^{24} - 97 q^{25} - 44 q^{26} + 14 q^{27} - 22 q^{28} - 53 q^{29} - 9 q^{30} + 10 q^{31} - 10 q^{32} + 2 q^{33} - 7 q^{34} - 32 q^{35} - 22 q^{36} - 39 q^{37} + 59 q^{38} - 26 q^{39} - 19 q^{40} - 17 q^{41} - 83 q^{42} - q^{43} - 31 q^{44} + 81 q^{45} + 56 q^{46} + 50 q^{47} - 23 q^{48} - 19 q^{49} - 21 q^{50} - 30 q^{51} - 9 q^{52} + 50 q^{53} + 48 q^{54} + 20 q^{55} - 239 q^{56} + 33 q^{57} + 17 q^{58} - 37 q^{59} - 152 q^{60} - 105 q^{61} - 30 q^{62} + 6 q^{63} - 88 q^{64} - 5 q^{65} - 99 q^{66} + 13 q^{67} - 290 q^{68} + 64 q^{69} + 17 q^{70} - 19 q^{71} + 11 q^{72} - 40 q^{73} - 57 q^{74} + 69 q^{75} - 41 q^{76} + 19 q^{77} + 81 q^{78} + 13 q^{79} + 163 q^{80} - 179 q^{81} - 28 q^{82} + 73 q^{83} - 341 q^{84} - 10 q^{85} + 15 q^{86} + 13 q^{87} - 13 q^{88} - 104 q^{89} + 171 q^{90} - 49 q^{91} - 91 q^{92} - 275 q^{93} - 4 q^{94} - 29 q^{95} + 231 q^{96} - 11 q^{97} - 33 q^{98} + 62 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/441\mathbb{Z}\right)^\times\).

\(n\) \(199\) \(344\)
\(\chi(n)\) \(e\left(\frac{4}{21}\right)\) \(e\left(\frac{2}{3}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.485097 1.23601i 0.343015 0.873989i −0.650418 0.759576i \(-0.725406\pi\)
0.993433 0.114412i \(-0.0364985\pi\)
\(3\) 0.455479 1.67109i 0.262971 0.964804i
\(4\) 0.173711 + 0.161180i 0.0868553 + 0.0805900i
\(5\) −2.77602 + 1.33686i −1.24148 + 0.597863i −0.935214 0.354084i \(-0.884793\pi\)
−0.306262 + 0.951947i \(0.599078\pi\)
\(6\) −1.84453 1.37362i −0.753024 0.560776i
\(7\) 2.57021 0.627724i 0.971447 0.237257i
\(8\) 2.67608 1.28873i 0.946139 0.455636i
\(9\) −2.58508 1.52229i −0.861692 0.507431i
\(10\) 0.305731 + 4.07969i 0.0966805 + 1.29011i
\(11\) −3.53921 4.43803i −1.06711 1.33812i −0.938057 0.346481i \(-0.887377\pi\)
−0.129056 0.991637i \(-0.541195\pi\)
\(12\) 0.348468 0.216872i 0.100594 0.0626055i
\(13\) 1.73107 4.41069i 0.480112 1.22331i −0.461661 0.887056i \(-0.652746\pi\)
0.941773 0.336249i \(-0.109158\pi\)
\(14\) 0.470928 3.48130i 0.125861 0.930416i
\(15\) 0.969595 + 5.24790i 0.250348 + 1.35500i
\(16\) −0.259307 3.46020i −0.0648266 0.865051i
\(17\) −2.81731 + 2.61409i −0.683299 + 0.634009i −0.943433 0.331564i \(-0.892424\pi\)
0.260134 + 0.965573i \(0.416233\pi\)
\(18\) −3.13558 + 2.45671i −0.739062 + 0.579053i
\(19\) 1.03060 1.78505i 0.236435 0.409518i −0.723253 0.690583i \(-0.757354\pi\)
0.959689 + 0.281064i \(0.0906875\pi\)
\(20\) −0.697700 0.215212i −0.156011 0.0481229i
\(21\) 0.121693 4.58096i 0.0265556 0.999647i
\(22\) −7.20230 + 2.22162i −1.53554 + 0.473650i
\(23\) 0.366959 1.60775i 0.0765162 0.335239i −0.922152 0.386827i \(-0.873571\pi\)
0.998668 + 0.0515878i \(0.0164282\pi\)
\(24\) −0.934689 5.05897i −0.190793 1.03266i
\(25\) 2.80166 3.51317i 0.560331 0.702633i
\(26\) −4.61191 4.27922i −0.904469 0.839225i
\(27\) −3.72134 + 3.62652i −0.716171 + 0.697924i
\(28\) 0.547649 + 0.305223i 0.103496 + 0.0576818i
\(29\) 9.59996 + 2.96119i 1.78267 + 0.549880i 0.997581 0.0695070i \(-0.0221426\pi\)
0.785086 + 0.619387i \(0.212619\pi\)
\(30\) 6.95678 + 1.34731i 1.27013 + 0.245984i
\(31\) −1.22619 + 2.12382i −0.220230 + 0.381449i −0.954878 0.296999i \(-0.904014\pi\)
0.734648 + 0.678449i \(0.237347\pi\)
\(32\) 1.27392 + 0.392951i 0.225199 + 0.0694646i
\(33\) −9.02839 + 3.89291i −1.57164 + 0.677669i
\(34\) 1.86436 + 4.75030i 0.319734 + 0.814670i
\(35\) −6.29577 + 5.17859i −1.06418 + 0.875341i
\(36\) −0.203692 0.681101i −0.0339487 0.113517i
\(37\) 5.45355 + 1.68220i 0.896558 + 0.276551i 0.708587 0.705623i \(-0.249333\pi\)
0.187971 + 0.982175i \(0.439809\pi\)
\(38\) −1.70639 2.13975i −0.276813 0.347113i
\(39\) −6.58219 4.90175i −1.05399 0.784908i
\(40\) −5.70601 + 7.15511i −0.902200 + 1.13132i
\(41\) 5.89108 + 4.01647i 0.920032 + 0.627267i 0.927951 0.372702i \(-0.121569\pi\)
−0.00791951 + 0.999969i \(0.502521\pi\)
\(42\) −5.60306 2.37262i −0.864571 0.366104i
\(43\) −3.27676 + 2.23406i −0.499701 + 0.340690i −0.786797 0.617211i \(-0.788262\pi\)
0.287097 + 0.957902i \(0.407310\pi\)
\(44\) 0.100523 1.34138i 0.0151544 0.202221i
\(45\) 9.21133 + 0.770028i 1.37314 + 0.114789i
\(46\) −1.80918 1.23348i −0.266749 0.181866i
\(47\) −3.63508 + 9.26203i −0.530231 + 1.35101i 0.375370 + 0.926875i \(0.377516\pi\)
−0.905601 + 0.424131i \(0.860580\pi\)
\(48\) −5.90042 1.14273i −0.851652 0.164938i
\(49\) 6.21193 3.22676i 0.887418 0.460966i
\(50\) −2.98322 5.16709i −0.421891 0.730737i
\(51\) 3.08514 + 5.89864i 0.432006 + 0.825975i
\(52\) 1.01162 0.487170i 0.140286 0.0675584i
\(53\) 4.16059 1.28337i 0.571501 0.176285i 0.00448270 0.999990i \(-0.498573\pi\)
0.567018 + 0.823705i \(0.308097\pi\)
\(54\) 2.67720 + 6.35881i 0.364320 + 0.865324i
\(55\) 15.7580 + 7.58865i 2.12481 + 1.02325i
\(56\) 6.06912 4.99215i 0.811020 0.667105i
\(57\) −2.51356 2.53527i −0.332929 0.335805i
\(58\) 8.31696 10.4291i 1.09207 1.36941i
\(59\) −7.34904 + 5.01049i −0.956763 + 0.652310i −0.937677 0.347508i \(-0.887028\pi\)
−0.0190863 + 0.999818i \(0.506076\pi\)
\(60\) −0.677426 + 1.06789i −0.0874554 + 0.137865i
\(61\) −2.44221 + 2.26604i −0.312693 + 0.290137i −0.820869 0.571116i \(-0.806510\pi\)
0.508176 + 0.861253i \(0.330320\pi\)
\(62\) 2.03023 + 2.54583i 0.257840 + 0.323321i
\(63\) −7.59976 2.28989i −0.957480 0.288499i
\(64\) 5.43057 6.80971i 0.678821 0.851214i
\(65\) 1.09100 + 14.5584i 0.135322 + 1.80575i
\(66\) 0.432019 + 13.0476i 0.0531779 + 1.60605i
\(67\) −0.887666 + 1.53748i −0.108446 + 0.187833i −0.915141 0.403134i \(-0.867921\pi\)
0.806695 + 0.590968i \(0.201254\pi\)
\(68\) −0.910735 −0.110443
\(69\) −2.51955 1.34552i −0.303318 0.161981i
\(70\) 3.34671 + 10.2937i 0.400008 + 1.23034i
\(71\) 2.76975 12.1351i 0.328709 1.44017i −0.492885 0.870095i \(-0.664058\pi\)
0.821594 0.570073i \(-0.193085\pi\)
\(72\) −8.87971 0.742306i −1.04648 0.0874816i
\(73\) 0.964058 + 0.145308i 0.112834 + 0.0170071i 0.205217 0.978717i \(-0.434210\pi\)
−0.0923823 + 0.995724i \(0.529448\pi\)
\(74\) 4.72470 5.92459i 0.549236 0.688720i
\(75\) −4.59472 6.28199i −0.530552 0.725382i
\(76\) 0.466740 0.143970i 0.0535387 0.0165145i
\(77\) −11.8824 9.18502i −1.35412 1.04673i
\(78\) −9.25159 + 5.75781i −1.04754 + 0.651943i
\(79\) −0.278259 0.481959i −0.0313066 0.0542246i 0.849948 0.526867i \(-0.176633\pi\)
−0.881254 + 0.472643i \(0.843300\pi\)
\(80\) 5.34566 + 9.25895i 0.597663 + 1.03518i
\(81\) 4.36525 + 7.87049i 0.485028 + 0.874499i
\(82\) 7.82212 5.33303i 0.863809 0.588935i
\(83\) −2.13307 5.43496i −0.234134 0.596565i 0.764723 0.644359i \(-0.222876\pi\)
−0.998857 + 0.0477946i \(0.984781\pi\)
\(84\) 0.759498 0.776147i 0.0828680 0.0846846i
\(85\) 4.32626 11.0231i 0.469248 1.19563i
\(86\) 1.17176 + 5.13383i 0.126354 + 0.553595i
\(87\) 9.32100 14.6936i 0.999316 1.57532i
\(88\) −15.1907 7.31545i −1.61933 0.779829i
\(89\) −0.772012 1.96705i −0.0818331 0.208507i 0.884101 0.467296i \(-0.154772\pi\)
−0.965934 + 0.258789i \(0.916677\pi\)
\(90\) 5.42015 11.0117i 0.571334 1.16074i
\(91\) 1.68051 12.4230i 0.176165 1.30229i
\(92\) 0.322882 0.220137i 0.0336627 0.0229509i
\(93\) 2.99059 + 3.01642i 0.310109 + 0.312789i
\(94\) 9.68456 + 8.98596i 0.998887 + 0.926831i
\(95\) −0.474601 + 6.33311i −0.0486930 + 0.649763i
\(96\) 1.23690 1.94985i 0.126240 0.199005i
\(97\) −1.28026 + 2.21747i −0.129990 + 0.225150i −0.923673 0.383183i \(-0.874828\pi\)
0.793682 + 0.608333i \(0.208161\pi\)
\(98\) −0.974912 9.24327i −0.0984810 0.933711i
\(99\) 2.39316 + 16.8604i 0.240521 + 1.69453i
\(100\) 1.05293 0.158704i 0.105293 0.0158704i
\(101\) 9.45317 4.55241i 0.940626 0.452981i 0.100236 0.994964i \(-0.468040\pi\)
0.840390 + 0.541982i \(0.182326\pi\)
\(102\) 8.78735 0.951841i 0.870078 0.0942463i
\(103\) −11.7342 + 5.65089i −1.15620 + 0.556799i −0.910892 0.412645i \(-0.864605\pi\)
−0.245313 + 0.969444i \(0.578891\pi\)
\(104\) −1.05172 14.0343i −0.103130 1.37617i
\(105\) 5.78629 + 12.8795i 0.564684 + 1.25691i
\(106\) 0.432033 5.76507i 0.0419627 0.559954i
\(107\) −5.94806 15.1554i −0.575021 1.46513i −0.861858 0.507150i \(-0.830699\pi\)
0.286837 0.957979i \(-0.407396\pi\)
\(108\) −1.23096 + 0.0301608i −0.118449 + 0.00290222i
\(109\) −4.87749 + 12.4276i −0.467179 + 1.19035i 0.482156 + 0.876085i \(0.339854\pi\)
−0.949335 + 0.314267i \(0.898241\pi\)
\(110\) 17.0238 15.7957i 1.62315 1.50607i
\(111\) 5.29508 8.34716i 0.502587 0.792277i
\(112\) −2.83852 8.73067i −0.268215 0.824971i
\(113\) 9.33524 + 1.40706i 0.878186 + 0.132365i 0.572635 0.819811i \(-0.305921\pi\)
0.305551 + 0.952176i \(0.401159\pi\)
\(114\) −4.35294 + 1.87692i −0.407690 + 0.175790i
\(115\) 1.13066 + 4.95373i 0.105434 + 0.461937i
\(116\) 1.19033 + 2.06171i 0.110519 + 0.191425i
\(117\) −11.1893 + 8.76678i −1.03445 + 0.810489i
\(118\) 2.62800 + 11.5140i 0.241927 + 1.05995i
\(119\) −5.60016 + 8.48723i −0.513365 + 0.778024i
\(120\) 9.35786 + 12.7943i 0.854252 + 1.16795i
\(121\) −4.72238 + 20.6901i −0.429307 + 1.88092i
\(122\) 1.61613 + 4.11784i 0.146318 + 0.372812i
\(123\) 9.39514 8.01510i 0.847131 0.722697i
\(124\) −0.555319 + 0.171293i −0.0498691 + 0.0153826i
\(125\) 0.347261 1.52145i 0.0310600 0.136083i
\(126\) −6.51694 + 8.28254i −0.580575 + 0.737867i
\(127\) 3.57457 + 15.6612i 0.317192 + 1.38971i 0.842455 + 0.538767i \(0.181110\pi\)
−0.525263 + 0.850940i \(0.676033\pi\)
\(128\) −4.44936 7.70651i −0.393271 0.681166i
\(129\) 2.24081 + 6.49332i 0.197292 + 0.571705i
\(130\) 18.5235 + 5.71374i 1.62462 + 0.501128i
\(131\) 17.6978 + 8.52280i 1.54626 + 0.744641i 0.995915 0.0902951i \(-0.0287810\pi\)
0.550347 + 0.834936i \(0.314495\pi\)
\(132\) −2.19579 0.778955i −0.191119 0.0677994i
\(133\) 1.52833 5.23488i 0.132523 0.453921i
\(134\) 1.46973 + 1.84299i 0.126966 + 0.159210i
\(135\) 5.48236 15.0422i 0.471846 1.29463i
\(136\) −4.17051 + 10.6263i −0.357618 + 0.911196i
\(137\) 12.3728 + 5.95845i 1.05708 + 0.509064i 0.879922 0.475117i \(-0.157594\pi\)
0.177161 + 0.984182i \(0.443309\pi\)
\(138\) −2.88530 + 2.46148i −0.245613 + 0.209535i
\(139\) 6.31358 + 4.30453i 0.535511 + 0.365105i 0.800676 0.599098i \(-0.204474\pi\)
−0.265165 + 0.964203i \(0.585426\pi\)
\(140\) −1.92833 0.115176i −0.162973 0.00973417i
\(141\) 13.8220 + 10.2932i 1.16402 + 0.866844i
\(142\) −13.6554 9.31011i −1.14594 0.781287i
\(143\) −25.7014 + 7.92784i −2.14926 + 0.662959i
\(144\) −4.59712 + 9.33964i −0.383093 + 0.778303i
\(145\) −30.6084 + 4.61348i −2.54189 + 0.383128i
\(146\) 0.647263 1.12109i 0.0535679 0.0927823i
\(147\) −2.56280 11.8504i −0.211376 0.977405i
\(148\) 0.676203 + 1.17122i 0.0555835 + 0.0962735i
\(149\) −4.28212 5.36961i −0.350805 0.439896i 0.574853 0.818257i \(-0.305059\pi\)
−0.925658 + 0.378361i \(0.876488\pi\)
\(150\) −9.99347 + 2.63173i −0.815963 + 0.214880i
\(151\) −0.862741 + 3.77992i −0.0702089 + 0.307605i −0.997824 0.0659319i \(-0.978998\pi\)
0.927615 + 0.373537i \(0.121855\pi\)
\(152\) 0.457515 6.10511i 0.0371093 0.495190i
\(153\) 11.2624 2.46884i 0.910509 0.199594i
\(154\) −17.1168 + 10.2311i −1.37931 + 0.824443i
\(155\) 0.564671 7.53502i 0.0453555 0.605227i
\(156\) −0.353333 1.91240i −0.0282893 0.153115i
\(157\) 10.5795 7.21296i 0.844333 0.575656i −0.0620694 0.998072i \(-0.519770\pi\)
0.906402 + 0.422415i \(0.138818\pi\)
\(158\) −0.730687 + 0.110133i −0.0581303 + 0.00876174i
\(159\) −0.249567 7.53726i −0.0197919 0.597744i
\(160\) −4.06174 + 0.612209i −0.321109 + 0.0483994i
\(161\) −0.0660641 4.36260i −0.00520658 0.343821i
\(162\) 11.8455 1.57753i 0.930674 0.123942i
\(163\) 3.63061 2.47531i 0.284371 0.193881i −0.412731 0.910853i \(-0.635425\pi\)
0.697102 + 0.716972i \(0.254473\pi\)
\(164\) 0.375969 + 1.64723i 0.0293582 + 0.128627i
\(165\) 19.8587 22.8765i 1.54600 1.78094i
\(166\) −7.75239 −0.601703
\(167\) −9.18089 + 8.51862i −0.710439 + 0.659191i −0.950200 0.311641i \(-0.899121\pi\)
0.239761 + 0.970832i \(0.422931\pi\)
\(168\) −5.57798 12.4159i −0.430350 0.957905i
\(169\) −6.92792 6.42817i −0.532917 0.494474i
\(170\) −11.5260 10.6946i −0.884004 0.820236i
\(171\) −5.38154 + 3.04562i −0.411537 + 0.232904i
\(172\) −0.929292 0.140068i −0.0708579 0.0106801i
\(173\) 4.58434 1.41408i 0.348541 0.107511i −0.115542 0.993303i \(-0.536860\pi\)
0.464082 + 0.885792i \(0.346384\pi\)
\(174\) −13.6398 18.6486i −1.03403 1.41375i
\(175\) 4.99554 10.7882i 0.377627 0.815514i
\(176\) −14.4388 + 13.3972i −1.08836 + 1.00985i
\(177\) 5.02564 + 14.5631i 0.377750 + 1.09463i
\(178\) −2.80579 −0.210303
\(179\) −1.80595 + 1.67568i −0.134983 + 0.125246i −0.744775 0.667315i \(-0.767443\pi\)
0.609792 + 0.792561i \(0.291253\pi\)
\(180\) 1.47599 + 1.61844i 0.110014 + 0.120632i
\(181\) 8.21280 10.2985i 0.610453 0.765484i −0.376513 0.926411i \(-0.622877\pi\)
0.986966 + 0.160928i \(0.0514486\pi\)
\(182\) −14.5397 8.10349i −1.07776 0.600670i
\(183\) 2.67438 + 5.11329i 0.197696 + 0.377985i
\(184\) −1.08995 4.77539i −0.0803523 0.352046i
\(185\) −17.3880 + 2.62083i −1.27839 + 0.192687i
\(186\) 5.17904 2.23313i 0.379746 0.163741i
\(187\) 21.5725 + 3.25153i 1.57754 + 0.237775i
\(188\) −2.12431 + 1.02301i −0.154931 + 0.0746108i
\(189\) −7.28815 + 11.6569i −0.530135 + 0.847913i
\(190\) 7.59753 + 3.65878i 0.551183 + 0.265436i
\(191\) −0.421775 0.287562i −0.0305186 0.0208072i 0.547965 0.836501i \(-0.315403\pi\)
−0.578483 + 0.815694i \(0.696355\pi\)
\(192\) −8.90613 12.1766i −0.642745 0.878774i
\(193\) 0.378547 5.05135i 0.0272484 0.363604i −0.966867 0.255280i \(-0.917832\pi\)
0.994116 0.108324i \(-0.0345486\pi\)
\(194\) 2.11976 + 2.65810i 0.152190 + 0.190840i
\(195\) 24.8253 + 4.80788i 1.77778 + 0.344300i
\(196\) 1.59917 + 0.440715i 0.114226 + 0.0314796i
\(197\) −21.6425 −1.54196 −0.770982 0.636857i \(-0.780234\pi\)
−0.770982 + 0.636857i \(0.780234\pi\)
\(198\) 22.0005 + 5.22096i 1.56350 + 0.371038i
\(199\) −13.7935 9.40428i −0.977798 0.666652i −0.0347809 0.999395i \(-0.511073\pi\)
−0.943017 + 0.332743i \(0.892026\pi\)
\(200\) 2.96993 13.0121i 0.210006 0.920096i
\(201\) 2.16496 + 2.18366i 0.152704 + 0.154024i
\(202\) −1.04110 13.8925i −0.0732517 0.977476i
\(203\) 26.5327 + 1.58476i 1.86223 + 0.111228i
\(204\) −0.414821 + 1.52192i −0.0290433 + 0.106556i
\(205\) −21.7232 3.27425i −1.51722 0.228684i
\(206\) 1.29232 + 17.2448i 0.0900400 + 1.20150i
\(207\) −3.39608 + 3.59754i −0.236044 + 0.250046i
\(208\) −15.7108 4.84613i −1.08935 0.336019i
\(209\) −11.5696 + 1.74384i −0.800287 + 0.120624i
\(210\) 18.7261 0.904069i 1.29222 0.0623867i
\(211\) −17.6103 2.65433i −1.21234 0.182731i −0.488419 0.872609i \(-0.662426\pi\)
−0.723926 + 0.689878i \(0.757664\pi\)
\(212\) 0.929592 + 0.447668i 0.0638447 + 0.0307460i
\(213\) −19.0172 10.1558i −1.30304 0.695862i
\(214\) −21.6176 −1.47775
\(215\) 6.10973 10.5824i 0.416680 0.721711i
\(216\) −5.28498 + 14.5007i −0.359598 + 0.986647i
\(217\) −1.81838 + 6.22836i −0.123440 + 0.422809i
\(218\) 12.9946 + 12.0572i 0.880104 + 0.816618i
\(219\) 0.681931 1.54484i 0.0460807 0.104391i
\(220\) 1.51419 + 3.85810i 0.102087 + 0.260113i
\(221\) 6.65296 + 16.9515i 0.447526 + 1.14028i
\(222\) −7.74852 10.5939i −0.520046 0.711018i
\(223\) 0.445589 + 0.413446i 0.0298388 + 0.0276864i 0.694951 0.719057i \(-0.255426\pi\)
−0.665112 + 0.746743i \(0.731616\pi\)
\(224\) 3.52089 + 0.210298i 0.235249 + 0.0140511i
\(225\) −12.5906 + 4.81687i −0.839371 + 0.321124i
\(226\) 6.26763 10.8559i 0.416917 0.722121i
\(227\) 11.5090 0.763877 0.381938 0.924188i \(-0.375257\pi\)
0.381938 + 0.924188i \(0.375257\pi\)
\(228\) −0.0279967 0.845539i −0.00185413 0.0559972i
\(229\) 0.905570 + 0.436100i 0.0598418 + 0.0288183i 0.463565 0.886063i \(-0.346570\pi\)
−0.403724 + 0.914881i \(0.632284\pi\)
\(230\) 6.67132 + 1.00554i 0.439894 + 0.0663033i
\(231\) −20.7612 + 15.6729i −1.36598 + 1.03120i
\(232\) 29.5065 4.44739i 1.93720 0.291985i
\(233\) −9.86849 3.04403i −0.646506 0.199421i −0.0458753 0.998947i \(-0.514608\pi\)
−0.600631 + 0.799526i \(0.705084\pi\)
\(234\) 5.40790 + 18.0828i 0.353526 + 1.18211i
\(235\) −2.29100 30.5712i −0.149448 1.99425i
\(236\) −2.08420 0.314142i −0.135670 0.0204489i
\(237\) −0.932137 + 0.245473i −0.0605488 + 0.0159452i
\(238\) 7.77366 + 11.0390i 0.503892 + 0.715549i
\(239\) −0.239853 3.20061i −0.0155148 0.207031i −0.999574 0.0291889i \(-0.990708\pi\)
0.984059 0.177842i \(-0.0569115\pi\)
\(240\) 17.9074 4.71581i 1.15592 0.304404i
\(241\) 0.349597 1.53168i 0.0225195 0.0986643i −0.962419 0.271568i \(-0.912458\pi\)
0.984939 + 0.172904i \(0.0553149\pi\)
\(242\) 23.2823 + 15.8736i 1.49664 + 1.02039i
\(243\) 15.1406 3.70988i 0.971268 0.237989i
\(244\) −0.789479 −0.0505412
\(245\) −12.9307 + 17.2621i −0.826113 + 1.10283i
\(246\) −5.34916 15.5006i −0.341050 0.988279i
\(247\) −6.08926 7.63569i −0.387450 0.485847i
\(248\) −0.544343 + 7.26375i −0.0345658 + 0.461248i
\(249\) −10.0539 + 1.08903i −0.637139 + 0.0690145i
\(250\) −1.71207 1.16727i −0.108281 0.0738245i
\(251\) −7.50013 3.61187i −0.473404 0.227979i 0.181940 0.983310i \(-0.441762\pi\)
−0.655344 + 0.755330i \(0.727476\pi\)
\(252\) −0.951075 1.62271i −0.0599121 0.102221i
\(253\) −8.43400 + 4.06160i −0.530241 + 0.255351i
\(254\) 21.0914 + 3.17901i 1.32339 + 0.199469i
\(255\) −16.4501 12.2504i −1.03015 0.767148i
\(256\) 5.54167 0.835272i 0.346354 0.0522045i
\(257\) −2.35905 10.3357i −0.147153 0.644721i −0.993668 0.112355i \(-0.964160\pi\)
0.846515 0.532365i \(-0.178697\pi\)
\(258\) 9.11279 + 0.380232i 0.567338 + 0.0236722i
\(259\) 15.0727 + 0.900271i 0.936572 + 0.0559401i
\(260\) −2.15700 + 2.70479i −0.133771 + 0.167744i
\(261\) −20.3088 22.2689i −1.25708 1.37841i
\(262\) 19.1194 17.7402i 1.18120 1.09599i
\(263\) 8.10637 0.499860 0.249930 0.968264i \(-0.419592\pi\)
0.249930 + 0.968264i \(0.419592\pi\)
\(264\) −19.1438 + 22.0529i −1.17822 + 1.35727i
\(265\) −9.83420 + 9.12481i −0.604110 + 0.560532i
\(266\) −5.72895 4.42845i −0.351265 0.271526i
\(267\) −3.63876 + 0.394148i −0.222688 + 0.0241215i
\(268\) −0.402008 + 0.124003i −0.0245566 + 0.00757470i
\(269\) 18.3836 + 2.77088i 1.12087 + 0.168944i 0.683227 0.730206i \(-0.260576\pi\)
0.437641 + 0.899150i \(0.355814\pi\)
\(270\) −15.9328 14.0732i −0.969640 0.856465i
\(271\) −13.2755 12.3179i −0.806430 0.748257i 0.164819 0.986324i \(-0.447296\pi\)
−0.971249 + 0.238066i \(0.923486\pi\)
\(272\) 9.77582 + 9.07063i 0.592746 + 0.549988i
\(273\) −19.9945 8.46671i −1.21012 0.512428i
\(274\) 13.3667 12.4025i 0.807512 0.749262i
\(275\) −25.5072 −1.53814
\(276\) −0.220803 0.639832i −0.0132908 0.0385134i
\(277\) 0.0170014 + 0.0744882i 0.00102152 + 0.00447556i 0.975436 0.220283i \(-0.0706979\pi\)
−0.974415 + 0.224758i \(0.927841\pi\)
\(278\) 8.38312 5.71552i 0.502786 0.342794i
\(279\) 6.40286 3.62362i 0.383329 0.216940i
\(280\) −10.1742 + 21.9719i −0.608024 + 1.31307i
\(281\) −9.55575 + 1.44030i −0.570048 + 0.0859209i −0.427741 0.903902i \(-0.640690\pi\)
−0.142308 + 0.989822i \(0.545452\pi\)
\(282\) 19.4275 12.0908i 1.15689 0.720000i
\(283\) −19.9667 + 3.00950i −1.18690 + 0.178896i −0.712666 0.701503i \(-0.752513\pi\)
−0.474233 + 0.880399i \(0.657275\pi\)
\(284\) 2.43707 1.66156i 0.144613 0.0985956i
\(285\) 10.3670 + 3.67770i 0.614089 + 0.217848i
\(286\) −2.66882 + 35.6129i −0.157810 + 2.10583i
\(287\) 17.6625 + 6.62518i 1.04259 + 0.391072i
\(288\) −2.69498 2.95508i −0.158803 0.174130i
\(289\) −0.166596 + 2.22307i −0.00979976 + 0.130769i
\(290\) −9.14576 + 40.0702i −0.537057 + 2.35300i
\(291\) 3.12246 + 3.14944i 0.183042 + 0.184623i
\(292\) 0.144046 + 0.180628i 0.00842967 + 0.0105705i
\(293\) 0.288498 + 0.499693i 0.0168542 + 0.0291923i 0.874329 0.485333i \(-0.161302\pi\)
−0.857475 + 0.514525i \(0.827968\pi\)
\(294\) −15.8904 2.58095i −0.926746 0.150524i
\(295\) 13.7028 23.7339i 0.797806 1.38184i
\(296\) 16.7621 2.52647i 0.974275 0.146848i
\(297\) 29.2652 + 3.68038i 1.69814 + 0.213557i
\(298\) −8.71411 + 2.68795i −0.504795 + 0.155709i
\(299\) −6.45606 4.40167i −0.373364 0.254555i
\(300\) 0.214380 1.83183i 0.0123772 0.105760i
\(301\) −7.01957 + 7.79888i −0.404601 + 0.449520i
\(302\) 4.25349 + 2.89998i 0.244761 + 0.166875i
\(303\) −3.30175 17.8706i −0.189681 1.02664i
\(304\) −6.44388 3.10321i −0.369582 0.177981i
\(305\) 3.75025 9.55549i 0.214739 0.547146i
\(306\) 2.41185 15.1180i 0.137876 0.864238i
\(307\) −0.932920 1.16984i −0.0532445 0.0667665i 0.754496 0.656304i \(-0.227881\pi\)
−0.807741 + 0.589538i \(0.799310\pi\)
\(308\) −0.583654 3.51074i −0.0332568 0.200043i
\(309\) 4.09846 + 22.1827i 0.233153 + 1.26193i
\(310\) −9.03941 4.35315i −0.513404 0.247242i
\(311\) −7.59441 2.34257i −0.430640 0.132835i 0.0718549 0.997415i \(-0.477108\pi\)
−0.502495 + 0.864580i \(0.667584\pi\)
\(312\) −23.9315 4.63479i −1.35486 0.262394i
\(313\) 8.00963 + 13.8731i 0.452731 + 0.784153i 0.998555 0.0537472i \(-0.0171165\pi\)
−0.545824 + 0.837900i \(0.683783\pi\)
\(314\) −3.78320 16.5753i −0.213498 0.935396i
\(315\) 24.1584 3.80304i 1.36117 0.214277i
\(316\) 0.0293455 0.128571i 0.00165082 0.00723269i
\(317\) −8.59658 + 2.65169i −0.482832 + 0.148934i −0.526609 0.850107i \(-0.676537\pi\)
0.0437775 + 0.999041i \(0.486061\pi\)
\(318\) −9.43717 3.34784i −0.529210 0.187737i
\(319\) −20.8344 53.0852i −1.16650 2.97220i
\(320\) −5.97173 + 26.1639i −0.333830 + 1.46260i
\(321\) −28.0353 + 3.03676i −1.56478 + 0.169496i
\(322\) −5.42425 2.03463i −0.302282 0.113385i
\(323\) 1.76275 + 7.72312i 0.0980821 + 0.429726i
\(324\) −0.510274 + 2.07078i −0.0283486 + 0.115043i
\(325\) −10.6456 18.4388i −0.590513 1.02280i
\(326\) −1.29830 5.68822i −0.0719061 0.315041i
\(327\) 18.5461 + 13.8112i 1.02560 + 0.763764i
\(328\) 20.9412 + 3.15637i 1.15628 + 0.174282i
\(329\) −3.52891 + 26.0872i −0.194555 + 1.43823i
\(330\) −18.6421 35.6429i −1.02622 1.96207i
\(331\) 22.7385 21.0983i 1.24982 1.15967i 0.269344 0.963044i \(-0.413193\pi\)
0.980479 0.196622i \(-0.0629972\pi\)
\(332\) 0.505471 1.28792i 0.0277413 0.0706837i
\(333\) −11.5370 12.6505i −0.632226 0.693243i
\(334\) 6.07545 + 15.4800i 0.332434 + 0.847028i
\(335\) 0.408779 5.45478i 0.0223340 0.298026i
\(336\) −15.8826 + 0.766789i −0.866468 + 0.0418318i
\(337\) 1.30274 + 17.3839i 0.0709650 + 0.946962i 0.913111 + 0.407712i \(0.133673\pi\)
−0.842146 + 0.539250i \(0.818708\pi\)
\(338\) −11.3060 + 5.44467i −0.614964 + 0.296151i
\(339\) 6.60333 14.9591i 0.358644 0.812469i
\(340\) 2.52822 1.21753i 0.137112 0.0660297i
\(341\) 13.7653 2.07479i 0.745434 0.112356i
\(342\) 1.15383 + 8.12904i 0.0623921 + 0.439568i
\(343\) 13.9404 12.1928i 0.752712 0.658350i
\(344\) −5.88977 + 10.2014i −0.317555 + 0.550022i
\(345\) 8.79311 + 0.366893i 0.473405 + 0.0197529i
\(346\) 0.476035 6.35224i 0.0255918 0.341499i
\(347\) 22.5456 + 20.9193i 1.21031 + 1.12300i 0.989018 + 0.147797i \(0.0472183\pi\)
0.221293 + 0.975207i \(0.428972\pi\)
\(348\) 3.98747 1.05008i 0.213751 0.0562902i
\(349\) −21.6769 + 14.7791i −1.16034 + 0.791105i −0.981252 0.192729i \(-0.938266\pi\)
−0.179085 + 0.983834i \(0.557314\pi\)
\(350\) −10.9110 11.4079i −0.583218 0.609776i
\(351\) 9.55358 + 22.6914i 0.509932 + 1.21118i
\(352\) −2.76473 7.04442i −0.147361 0.375469i
\(353\) −10.3965 5.00668i −0.553349 0.266479i 0.136245 0.990675i \(-0.456497\pi\)
−0.689594 + 0.724196i \(0.742211\pi\)
\(354\) 20.4380 + 0.852776i 1.08627 + 0.0453245i
\(355\) 8.53403 + 37.3900i 0.452939 + 1.98446i
\(356\) 0.182943 0.466131i 0.00969596 0.0247049i
\(357\) 11.6322 + 13.2241i 0.615640 + 0.699895i
\(358\) 1.19509 + 3.04504i 0.0631624 + 0.160935i
\(359\) −30.2884 + 20.6503i −1.59856 + 1.08988i −0.656561 + 0.754273i \(0.727990\pi\)
−0.942002 + 0.335608i \(0.891058\pi\)
\(360\) 25.6427 9.81030i 1.35149 0.517048i
\(361\) 7.37573 + 12.7751i 0.388197 + 0.672376i
\(362\) −8.74504 15.1469i −0.459629 0.796101i
\(363\) 32.4241 + 17.3154i 1.70182 + 0.908825i
\(364\) 2.29426 1.88715i 0.120252 0.0989134i
\(365\) −2.87050 + 0.885433i −0.150249 + 0.0463457i
\(366\) 7.61739 0.825112i 0.398167 0.0431293i
\(367\) 14.5372 18.2290i 0.758833 0.951547i −0.240986 0.970529i \(-0.577471\pi\)
0.999820 + 0.0189814i \(0.00604234\pi\)
\(368\) −5.65830 0.852852i −0.294959 0.0444580i
\(369\) −9.11465 19.3508i −0.474490 1.00736i
\(370\) −5.19553 + 22.7631i −0.270103 + 1.18340i
\(371\) 9.88797 5.91023i 0.513358 0.306844i
\(372\) 0.0333099 + 1.00601i 0.00172704 + 0.0521591i
\(373\) −17.5275 −0.907538 −0.453769 0.891119i \(-0.649921\pi\)
−0.453769 + 0.891119i \(0.649921\pi\)
\(374\) 14.4836 25.0864i 0.748932 1.29719i
\(375\) −2.38431 1.27329i −0.123125 0.0657526i
\(376\) 2.20852 + 29.4706i 0.113896 + 1.51983i
\(377\) 29.6791 37.2164i 1.52855 1.91674i
\(378\) 10.8725 + 14.6629i 0.559222 + 0.754179i
\(379\) 4.67546 + 5.86284i 0.240162 + 0.301154i 0.887275 0.461240i \(-0.152595\pi\)
−0.647113 + 0.762394i \(0.724024\pi\)
\(380\) −1.10321 + 1.02363i −0.0565936 + 0.0525112i
\(381\) 27.7994 + 1.15993i 1.42421 + 0.0594252i
\(382\) −0.560030 + 0.381822i −0.0286536 + 0.0195357i
\(383\) −3.60843 + 4.52483i −0.184382 + 0.231208i −0.865429 0.501032i \(-0.832954\pi\)
0.681046 + 0.732240i \(0.261525\pi\)
\(384\) −14.9049 + 3.92512i −0.760610 + 0.200303i
\(385\) 45.2649 + 9.61272i 2.30691 + 0.489910i
\(386\) −6.05987 2.91828i −0.308439 0.148537i
\(387\) 11.8716 0.787022i 0.603465 0.0400066i
\(388\) −0.579806 + 0.178847i −0.0294352 + 0.00907956i
\(389\) −22.1039 + 10.6447i −1.12071 + 0.539707i −0.900112 0.435658i \(-0.856516\pi\)
−0.220600 + 0.975364i \(0.570802\pi\)
\(390\) 17.9852 28.3519i 0.910718 1.43566i
\(391\) 3.16896 + 5.48880i 0.160261 + 0.277581i
\(392\) 12.4652 16.6406i 0.629588 0.840477i
\(393\) 22.3033 25.6926i 1.12505 1.29602i
\(394\) −10.4987 + 26.7503i −0.528917 + 1.34766i
\(395\) 1.41677 + 0.965935i 0.0712853 + 0.0486015i
\(396\) −2.30184 + 3.31456i −0.115672 + 0.166563i
\(397\) 2.17199 28.9831i 0.109009 1.45462i −0.627723 0.778437i \(-0.716013\pi\)
0.736732 0.676185i \(-0.236368\pi\)
\(398\) −18.3150 + 12.4869i −0.918046 + 0.625913i
\(399\) −8.05182 4.93836i −0.403095 0.247227i
\(400\) −12.8828 8.78332i −0.644138 0.439166i
\(401\) −5.56293 + 6.97569i −0.277799 + 0.348349i −0.901083 0.433646i \(-0.857227\pi\)
0.623284 + 0.781996i \(0.285798\pi\)
\(402\) 3.74923 1.61661i 0.186995 0.0806294i
\(403\) 7.24489 + 9.08481i 0.360894 + 0.452547i
\(404\) 2.37587 + 0.732860i 0.118204 + 0.0364611i
\(405\) −22.6398 16.0129i −1.12498 0.795689i
\(406\) 14.8297 32.0258i 0.735985 1.58941i
\(407\) −11.8356 30.1567i −0.586670 1.49481i
\(408\) 15.8579 + 11.8093i 0.785082 + 0.584649i
\(409\) −32.2015 9.93286i −1.59226 0.491148i −0.633117 0.774056i \(-0.718225\pi\)
−0.959147 + 0.282908i \(0.908701\pi\)
\(410\) −14.5849 + 25.2617i −0.720295 + 1.24759i
\(411\) 15.5927 17.9622i 0.769130 0.886009i
\(412\) −2.94916 0.909697i −0.145295 0.0448175i
\(413\) −15.7433 + 17.4912i −0.774679 + 0.860684i
\(414\) 2.79916 + 5.94274i 0.137571 + 0.292070i
\(415\) 13.1872 + 12.2360i 0.647336 + 0.600640i
\(416\) 3.93842 4.93862i 0.193097 0.242136i
\(417\) 10.0690 8.58993i 0.493079 0.420651i
\(418\) −3.45699 + 15.1461i −0.169087 + 0.740818i
\(419\) 2.46232 0.759526i 0.120292 0.0371053i −0.234025 0.972231i \(-0.575190\pi\)
0.354317 + 0.935125i \(0.384713\pi\)
\(420\) −1.07078 + 3.16995i −0.0522489 + 0.154678i
\(421\) −5.84140 1.80183i −0.284692 0.0878160i 0.149120 0.988819i \(-0.452356\pi\)
−0.433813 + 0.901003i \(0.642832\pi\)
\(422\) −11.8235 + 20.4789i −0.575558 + 0.996895i
\(423\) 23.4965 18.4094i 1.14244 0.895096i
\(424\) 9.48016 8.79630i 0.460397 0.427186i
\(425\) 1.29057 + 17.2215i 0.0626019 + 0.835364i
\(426\) −21.7778 + 18.5789i −1.05514 + 0.900149i
\(427\) −4.85454 + 7.35723i −0.234928 + 0.356041i
\(428\) 1.40951 3.59136i 0.0681311 0.173595i
\(429\) 1.54166 + 46.5603i 0.0744321 + 2.24795i
\(430\) −10.1161 12.6851i −0.487840 0.611732i
\(431\) 2.35584 + 31.4366i 0.113477 + 1.51425i 0.705723 + 0.708488i \(0.250622\pi\)
−0.592246 + 0.805757i \(0.701759\pi\)
\(432\) 13.5135 + 11.9362i 0.650167 + 0.574281i
\(433\) −26.9829 + 12.9943i −1.29672 + 0.624465i −0.949631 0.313369i \(-0.898542\pi\)
−0.347084 + 0.937834i \(0.612828\pi\)
\(434\) 6.81620 + 5.26889i 0.327188 + 0.252915i
\(435\) −6.23197 + 53.2507i −0.298800 + 2.55318i
\(436\) −2.85036 + 1.37266i −0.136507 + 0.0657385i
\(437\) −2.49173 2.31198i −0.119195 0.110597i
\(438\) −1.57863 1.59227i −0.0754299 0.0760816i
\(439\) 4.64723 11.8410i 0.221800 0.565138i −0.776050 0.630671i \(-0.782780\pi\)
0.997850 + 0.0655333i \(0.0208749\pi\)
\(440\) 51.9494 2.47659
\(441\) −20.9704 1.11494i −0.998590 0.0530926i
\(442\) 24.1794 1.15010
\(443\) −2.42836 + 6.18736i −0.115375 + 0.293970i −0.976883 0.213773i \(-0.931425\pi\)
0.861509 + 0.507743i \(0.169520\pi\)
\(444\) 2.26521 0.596530i 0.107502 0.0283101i
\(445\) 4.77280 + 4.42852i 0.226253 + 0.209932i
\(446\) 0.727176 0.350189i 0.0344328 0.0165819i
\(447\) −10.9235 + 4.71006i −0.516664 + 0.222778i
\(448\) 9.68306 20.9113i 0.457481 0.987965i
\(449\) −0.324787 + 0.156409i −0.0153277 + 0.00738142i −0.441532 0.897246i \(-0.645565\pi\)
0.426204 + 0.904627i \(0.359851\pi\)
\(450\) −0.153967 + 17.8987i −0.00725809 + 0.843751i
\(451\) −3.02456 40.3599i −0.142421 1.90048i
\(452\) 1.39484 + 1.74907i 0.0656078 + 0.0822696i
\(453\) 5.92362 + 3.16339i 0.278316 + 0.148629i
\(454\) 5.58296 14.2252i 0.262021 0.667620i
\(455\) 11.9427 + 36.7332i 0.559884 + 1.72208i
\(456\) −9.99379 3.54530i −0.468002 0.166024i
\(457\) −1.13660 15.1669i −0.0531681 0.709479i −0.958558 0.284898i \(-0.908040\pi\)
0.905390 0.424581i \(-0.139579\pi\)
\(458\) 0.978311 0.907740i 0.0457135 0.0424159i
\(459\) 1.00413 19.9449i 0.0468690 0.930950i
\(460\) −0.602034 + 1.04275i −0.0280700 + 0.0486187i
\(461\) 36.1624 + 11.1546i 1.68425 + 0.519523i 0.981426 0.191840i \(-0.0614454\pi\)
0.702825 + 0.711362i \(0.251922\pi\)
\(462\) 9.30066 + 33.2638i 0.432706 + 1.54757i
\(463\) −18.9962 + 5.85956i −0.882830 + 0.272317i −0.702837 0.711351i \(-0.748084\pi\)
−0.179993 + 0.983668i \(0.557608\pi\)
\(464\) 7.75701 33.9857i 0.360110 1.57775i
\(465\) −12.3345 4.37566i −0.571998 0.202916i
\(466\) −8.54961 + 10.7209i −0.396053 + 0.496635i
\(467\) −9.85614 9.14516i −0.456088 0.423188i 0.418379 0.908272i \(-0.362598\pi\)
−0.874467 + 0.485085i \(0.838789\pi\)
\(468\) −3.35673 0.280608i −0.155165 0.0129711i
\(469\) −1.31637 + 4.50886i −0.0607843 + 0.208200i
\(470\) −38.8976 11.9983i −1.79421 0.553441i
\(471\) −7.23477 20.9646i −0.333360 0.965997i
\(472\) −13.2095 + 22.8795i −0.608015 + 1.05311i
\(473\) 21.5120 + 6.63556i 0.989121 + 0.305103i
\(474\) −0.148770 + 1.27121i −0.00683324 + 0.0583884i
\(475\) −3.38379 8.62176i −0.155259 0.395593i
\(476\) −2.34078 + 0.571690i −0.107289 + 0.0262034i
\(477\) −12.7091 3.01602i −0.581910 0.138094i
\(478\) −4.07233 1.25615i −0.186264 0.0574549i
\(479\) 17.3115 + 21.7079i 0.790982 + 0.991860i 0.999903 + 0.0139272i \(0.00443332\pi\)
−0.208921 + 0.977932i \(0.566995\pi\)
\(480\) −0.826983 + 7.06638i −0.0377464 + 0.322535i
\(481\) 16.8601 21.1419i 0.768755 0.963988i
\(482\) −1.72358 1.17512i −0.0785070 0.0535252i
\(483\) −7.32038 1.87667i −0.333089 0.0853917i
\(484\) −4.15516 + 2.83294i −0.188871 + 0.128770i
\(485\) 0.589571 7.86728i 0.0267711 0.357235i
\(486\) 2.75921 20.5135i 0.125160 0.930511i
\(487\) 11.4502 + 7.80663i 0.518859 + 0.353752i 0.794261 0.607577i \(-0.207858\pi\)
−0.275402 + 0.961329i \(0.588811\pi\)
\(488\) −3.61524 + 9.21148i −0.163654 + 0.416984i
\(489\) −2.48279 7.19452i −0.112276 0.325347i
\(490\) 15.0634 + 24.3562i 0.680493 + 1.10030i
\(491\) 16.8971 + 29.2667i 0.762556 + 1.32079i 0.941529 + 0.336932i \(0.109389\pi\)
−0.178973 + 0.983854i \(0.557277\pi\)
\(492\) 2.92391 + 0.122000i 0.131820 + 0.00550020i
\(493\) −34.7869 + 16.7525i −1.56672 + 0.754494i
\(494\) −12.3916 + 3.82232i −0.557527 + 0.171974i
\(495\) −29.1835 43.6055i −1.31170 1.95992i
\(496\) 7.66681 + 3.69214i 0.344250 + 0.165782i
\(497\) −0.498642 32.9283i −0.0223672 1.47704i
\(498\) −3.53105 + 12.9549i −0.158230 + 0.580525i
\(499\) 12.5044 15.6800i 0.559773 0.701933i −0.418743 0.908105i \(-0.637529\pi\)
0.978516 + 0.206172i \(0.0661006\pi\)
\(500\) 0.305550 0.208321i 0.0136646 0.00931638i
\(501\) 10.0537 + 19.2221i 0.449165 + 0.858782i
\(502\) −8.10258 + 7.51810i −0.361636 + 0.335549i
\(503\) −26.6996 33.4803i −1.19048 1.49281i −0.827915 0.560854i \(-0.810473\pi\)
−0.362564 0.931959i \(-0.618098\pi\)
\(504\) −23.2887 + 3.66613i −1.03736 + 0.163302i
\(505\) −20.1563 + 25.2752i −0.896943 + 1.12473i
\(506\) 0.928858 + 12.3947i 0.0412928 + 0.551014i
\(507\) −13.8976 + 8.64927i −0.617213 + 0.384128i
\(508\) −1.90333 + 3.29667i −0.0844467 + 0.146266i
\(509\) 17.7378 0.786215 0.393108 0.919492i \(-0.371400\pi\)
0.393108 + 0.919492i \(0.371400\pi\)
\(510\) −23.1214 + 14.3898i −1.02383 + 0.637192i
\(511\) 2.56904 0.231690i 0.113648 0.0102493i
\(512\) 5.61614 24.6059i 0.248201 1.08744i
\(513\) 2.63832 + 10.3803i 0.116484 + 0.458299i
\(514\) −13.9193 2.09800i −0.613954 0.0925387i
\(515\) 25.0199 31.3740i 1.10251 1.38250i
\(516\) −0.657340 + 1.48913i −0.0289378 + 0.0655554i
\(517\) 53.9705 16.6477i 2.37362 0.732165i
\(518\) 8.42446 18.1932i 0.370150 0.799365i
\(519\) −0.274985 8.30493i −0.0120705 0.364546i
\(520\) 21.6815 + 37.5534i 0.950796 + 1.64683i
\(521\) 7.18249 + 12.4404i 0.314671 + 0.545026i 0.979367 0.202088i \(-0.0647726\pi\)
−0.664697 + 0.747113i \(0.731439\pi\)
\(522\) −37.3762 + 14.2993i −1.63591 + 0.625863i
\(523\) −11.8017 + 8.04627i −0.516052 + 0.351839i −0.793173 0.608997i \(-0.791572\pi\)
0.277120 + 0.960835i \(0.410620\pi\)
\(524\) 1.70059 + 4.33303i 0.0742905 + 0.189289i
\(525\) −15.7527 13.2618i −0.687506 0.578793i
\(526\) 3.93238 10.0195i 0.171460 0.436872i
\(527\) −2.09729 9.18882i −0.0913593 0.400271i
\(528\) 15.8114 + 30.2306i 0.688102 + 1.31562i
\(529\) 18.2721 + 8.79937i 0.794438 + 0.382581i
\(530\) 6.50778 + 16.5816i 0.282680 + 0.720257i
\(531\) 26.6253 1.76512i 1.15544 0.0765995i
\(532\) 1.10924 0.663017i 0.0480919 0.0287454i
\(533\) 27.9133 19.0309i 1.20906 0.824321i
\(534\) −1.27798 + 4.68873i −0.0553036 + 0.202901i
\(535\) 36.7727 + 34.1200i 1.58982 + 1.47514i
\(536\) −0.394062 + 5.25840i −0.0170209 + 0.227128i
\(537\) 1.97764 + 3.78115i 0.0853413 + 0.163168i
\(538\) 12.3426 21.3781i 0.532129 0.921675i
\(539\) −36.3058 16.1485i −1.56380 0.695567i
\(540\) 3.37685 1.72935i 0.145316 0.0744193i
\(541\) 2.22602 0.335519i 0.0957043 0.0144251i −0.101016 0.994885i \(-0.532209\pi\)
0.196720 + 0.980460i \(0.436971\pi\)
\(542\) −21.6649 + 10.4333i −0.930586 + 0.448147i
\(543\) −13.4690 18.4151i −0.578010 0.790267i
\(544\) −4.61623 + 2.22306i −0.197919 + 0.0953128i
\(545\) −3.07402 41.0199i −0.131677 1.75710i
\(546\) −20.1642 + 20.6062i −0.862948 + 0.881864i
\(547\) −0.453978 + 6.05791i −0.0194107 + 0.259018i 0.979053 + 0.203606i \(0.0652662\pi\)
−0.998464 + 0.0554117i \(0.982353\pi\)
\(548\) 1.18891 + 3.02930i 0.0507878 + 0.129405i
\(549\) 9.76289 2.14013i 0.416670 0.0913386i
\(550\) −12.3735 + 31.5271i −0.527607 + 1.34432i
\(551\) 15.1796 14.0846i 0.646672 0.600024i
\(552\) −8.47655 0.353685i −0.360786 0.0150538i
\(553\) −1.01772 1.06406i −0.0432779 0.0452486i
\(554\) 0.100315 + 0.0151201i 0.00426198 + 0.000642391i
\(555\) −3.54026 + 30.2507i −0.150276 + 1.28407i
\(556\) 0.402933 + 1.76536i 0.0170882 + 0.0748681i
\(557\) −1.42883 2.47481i −0.0605414 0.104861i 0.834166 0.551513i \(-0.185949\pi\)
−0.894708 + 0.446652i \(0.852616\pi\)
\(558\) −1.37281 9.67179i −0.0581156 0.409439i
\(559\) 4.18144 + 18.3201i 0.176856 + 0.774856i
\(560\) 19.5515 + 20.4418i 0.826202 + 0.863825i
\(561\) 15.2594 34.5685i 0.644253 1.45948i
\(562\) −2.85525 + 12.5096i −0.120441 + 0.527688i
\(563\) −9.29908 23.6937i −0.391909 0.998569i −0.981602 0.190941i \(-0.938846\pi\)
0.589692 0.807628i \(-0.299249\pi\)
\(564\) 0.741966 + 4.01586i 0.0312424 + 0.169098i
\(565\) −27.7959 + 8.57390i −1.16938 + 0.360707i
\(566\) −5.96604 + 26.1389i −0.250771 + 1.09870i
\(567\) 16.1601 + 17.4886i 0.678660 + 0.734453i
\(568\) −8.22680 36.0439i −0.345189 1.51237i
\(569\) 10.5243 + 18.2286i 0.441200 + 0.764181i 0.997779 0.0666141i \(-0.0212196\pi\)
−0.556579 + 0.830795i \(0.687886\pi\)
\(570\) 9.57466 11.0297i 0.401039 0.461981i
\(571\) −0.664414 0.204945i −0.0278049 0.00857667i 0.280822 0.959760i \(-0.409393\pi\)
−0.308626 + 0.951183i \(0.599869\pi\)
\(572\) −5.74242 2.76540i −0.240103 0.115627i
\(573\) −0.672651 + 0.573846i −0.0281004 + 0.0239728i
\(574\) 16.7568 18.6171i 0.699415 0.777064i
\(575\) −4.62020 5.79355i −0.192676 0.241608i
\(576\) −24.4048 + 9.33673i −1.01687 + 0.389030i
\(577\) 2.04050 5.19910i 0.0849470 0.216441i −0.882088 0.471084i \(-0.843863\pi\)
0.967035 + 0.254643i \(0.0819579\pi\)
\(578\) 2.66691 + 1.28432i 0.110929 + 0.0534205i
\(579\) −8.26884 2.93337i −0.343641 0.121907i
\(580\) −6.06061 4.13205i −0.251653 0.171574i
\(581\) −8.89408 12.6300i −0.368989 0.523981i
\(582\) 5.40742 2.33160i 0.224145 0.0966480i
\(583\) −20.4209 13.9227i −0.845746 0.576620i
\(584\) 2.76716 0.853557i 0.114506 0.0353204i
\(585\) 19.3418 39.2954i 0.799685 1.62466i
\(586\) 0.757572 0.114186i 0.0312950 0.00471697i
\(587\) 3.25901 5.64477i 0.134514 0.232985i −0.790898 0.611948i \(-0.790386\pi\)
0.925412 + 0.378963i \(0.123719\pi\)
\(588\) 1.46486 2.47161i 0.0604099 0.101928i
\(589\) 2.52741 + 4.37761i 0.104140 + 0.180376i
\(590\) −22.6881 28.4500i −0.934053 1.17127i
\(591\) −9.85771 + 36.1665i −0.405492 + 1.48769i
\(592\) 4.40661 19.3066i 0.181110 0.793496i
\(593\) 0.244081 3.25703i 0.0100232 0.133750i −0.989947 0.141437i \(-0.954828\pi\)
0.999970 + 0.00768681i \(0.00244681\pi\)
\(594\) 18.7454 34.3867i 0.769135 1.41090i
\(595\) 4.19990 31.0474i 0.172179 1.27282i
\(596\) 0.121623 1.62295i 0.00498188 0.0664786i
\(597\) −21.9981 + 18.7668i −0.900321 + 0.768073i
\(598\) −8.57230 + 5.84450i −0.350548 + 0.238999i
\(599\) −40.5783 + 6.11620i −1.65798 + 0.249901i −0.910239 0.414084i \(-0.864102\pi\)
−0.747746 + 0.663985i \(0.768864\pi\)
\(600\) −20.3917 10.8898i −0.832486 0.444573i
\(601\) 10.7349 1.61802i 0.437885 0.0660005i 0.0735995 0.997288i \(-0.476551\pi\)
0.364285 + 0.931287i \(0.381313\pi\)
\(602\) 6.23430 + 12.4595i 0.254091 + 0.507809i
\(603\) 4.63518 2.62322i 0.188759 0.106826i
\(604\) −0.759114 + 0.517555i −0.0308879 + 0.0210590i
\(605\) −14.5504 63.7494i −0.591557 2.59178i
\(606\) −23.6899 4.58799i −0.962335 0.186374i
\(607\) 5.52128 0.224102 0.112051 0.993702i \(-0.464258\pi\)
0.112051 + 0.993702i \(0.464258\pi\)
\(608\) 2.01433 1.86903i 0.0816920 0.0757991i
\(609\) 14.7334 43.6167i 0.597026 1.76744i
\(610\) −9.99141 9.27067i −0.404540 0.375359i
\(611\) 34.5594 + 32.0664i 1.39812 + 1.29727i
\(612\) 2.35432 + 1.38641i 0.0951678 + 0.0560421i
\(613\) 12.1273 + 1.82789i 0.489817 + 0.0738280i 0.389307 0.921108i \(-0.372715\pi\)
0.100510 + 0.994936i \(0.467953\pi\)
\(614\) −1.89849 + 0.585607i −0.0766169 + 0.0236332i
\(615\) −15.3660 + 34.8101i −0.619619 + 1.40368i
\(616\) −43.6353 9.26666i −1.75812 0.373364i
\(617\) 1.02662 0.952567i 0.0413303 0.0383489i −0.659237 0.751935i \(-0.729121\pi\)
0.700568 + 0.713586i \(0.252930\pi\)
\(618\) 29.4062 + 5.69506i 1.18289 + 0.229089i
\(619\) 9.97547 0.400948 0.200474 0.979699i \(-0.435752\pi\)
0.200474 + 0.979699i \(0.435752\pi\)
\(620\) 1.31258 1.21790i 0.0527146 0.0489120i
\(621\) 4.46497 + 7.31376i 0.179173 + 0.293491i
\(622\) −6.57945 + 8.25037i −0.263812 + 0.330810i
\(623\) −3.21900 4.57113i −0.128966 0.183138i
\(624\) −15.2542 + 24.0468i −0.610659 + 0.962642i
\(625\) 6.06946 + 26.5921i 0.242779 + 1.06368i
\(626\) 21.0327 3.17016i 0.840634 0.126705i
\(627\) −2.35561 + 20.1281i −0.0940740 + 0.803841i
\(628\) 3.00035 + 0.452230i 0.119727 + 0.0180459i
\(629\) −19.7618 + 9.51676i −0.787953 + 0.379458i
\(630\) 7.01857 31.7048i 0.279627 1.26315i
\(631\) −39.0046 18.7836i −1.55275 0.747764i −0.556221 0.831034i \(-0.687749\pi\)
−0.996527 + 0.0832701i \(0.973464\pi\)
\(632\) −1.36576 0.931160i −0.0543271 0.0370396i
\(633\) −12.4568 + 28.2194i −0.495111 + 1.12162i
\(634\) −0.892662 + 11.9118i −0.0354522 + 0.473076i
\(635\) −30.8600 38.6972i −1.22464 1.53565i
\(636\) 1.17150 1.34953i 0.0464531 0.0535123i
\(637\) −3.47897 32.9846i −0.137842 1.30690i
\(638\) −75.7204 −2.99780
\(639\) −25.6332 + 27.1537i −1.01403 + 1.07418i
\(640\) 22.6541 + 15.4453i 0.895481 + 0.610528i
\(641\) 4.80094 21.0343i 0.189626 0.830804i −0.787188 0.616713i \(-0.788464\pi\)
0.976814 0.214091i \(-0.0686790\pi\)
\(642\) −9.84636 + 36.1249i −0.388605 + 1.42574i
\(643\) 1.66836 + 22.2628i 0.0657939 + 0.877958i 0.928281 + 0.371879i \(0.121287\pi\)
−0.862487 + 0.506079i \(0.831094\pi\)
\(644\) 0.691688 0.768478i 0.0272563 0.0302823i
\(645\) −14.9012 15.0300i −0.586735 0.591804i
\(646\) 10.4009 + 1.56769i 0.409219 + 0.0616798i
\(647\) 2.55516 + 34.0962i 0.100454 + 1.34046i 0.788608 + 0.614897i \(0.210802\pi\)
−0.688154 + 0.725565i \(0.741579\pi\)
\(648\) 21.8247 + 15.4364i 0.857357 + 0.606401i
\(649\) 48.2466 + 14.8821i 1.89384 + 0.584173i
\(650\) −27.9546 + 4.21348i −1.09647 + 0.165266i
\(651\) 9.57991 + 5.87557i 0.375466 + 0.230282i
\(652\) 1.02964 + 0.155194i 0.0403240 + 0.00607786i
\(653\) −8.86001 4.26675i −0.346719 0.166971i 0.252417 0.967619i \(-0.418775\pi\)
−0.599136 + 0.800648i \(0.704489\pi\)
\(654\) 26.0674 16.2233i 1.01932 0.634381i
\(655\) −60.5233 −2.36484
\(656\) 12.3702 21.4258i 0.482976 0.836538i
\(657\) −2.27096 1.84321i −0.0885987 0.0719105i
\(658\) 30.5320 + 17.0165i 1.19026 + 0.663374i
\(659\) 18.8767 + 17.5150i 0.735332 + 0.682289i 0.956101 0.293037i \(-0.0946661\pi\)
−0.220769 + 0.975326i \(0.570857\pi\)
\(660\) 7.13691 0.773066i 0.277804 0.0300916i
\(661\) −9.10733 23.2051i −0.354234 0.902573i −0.991283 0.131750i \(-0.957940\pi\)
0.637049 0.770823i \(-0.280155\pi\)
\(662\) −15.0472 38.3397i −0.584827 1.49011i
\(663\) 31.3577 3.39665i 1.21783 0.131915i
\(664\) −12.7125 11.7955i −0.493340 0.457753i
\(665\) 2.75562 + 16.5753i 0.106858 + 0.642763i
\(666\) −21.2327 + 8.12315i −0.822750 + 0.314765i
\(667\) 8.28365 14.3477i 0.320744 0.555545i
\(668\) −2.96785 −0.114830
\(669\) 0.893861 0.556302i 0.0345587 0.0215079i
\(670\) −6.54384 3.15135i −0.252811 0.121747i
\(671\) 18.7003 + 2.81861i 0.721917 + 0.108811i
\(672\) 1.95512 5.78794i 0.0754204 0.223275i
\(673\) −4.91002 + 0.740067i −0.189267 + 0.0285275i −0.242992 0.970028i \(-0.578129\pi\)
0.0537244 + 0.998556i \(0.482891\pi\)
\(674\) 22.1186 + 6.82268i 0.851976 + 0.262800i
\(675\) 2.31467 + 23.2339i 0.0890916 + 0.894275i
\(676\) −0.167361 2.23328i −0.00643698 0.0858955i
\(677\) 41.2033 + 6.21040i 1.58357 + 0.238685i 0.881067 0.472992i \(-0.156826\pi\)
0.702506 + 0.711678i \(0.252064\pi\)
\(678\) −15.2863 15.4184i −0.587068 0.592140i
\(679\) −1.89857 + 6.50301i −0.0728603 + 0.249563i
\(680\) −2.62845 35.0742i −0.100796 1.34503i
\(681\) 5.24209 19.2325i 0.200877 0.736991i
\(682\) 4.11306 18.0205i 0.157497 0.690041i
\(683\) −25.2613 17.2228i −0.966596 0.659014i −0.0264009 0.999651i \(-0.508405\pi\)
−0.940195 + 0.340638i \(0.889357\pi\)
\(684\) −1.42572 0.338341i −0.0545139 0.0129368i
\(685\) −42.3129 −1.61669
\(686\) −8.30795 23.1451i −0.317199 0.883686i
\(687\) 1.14123 1.31465i 0.0435406 0.0501572i
\(688\) 8.57997 + 10.7589i 0.327108 + 0.410181i
\(689\) 1.54171 20.5727i 0.0587344 0.783757i
\(690\) 4.71899 10.6904i 0.179649 0.406975i
\(691\) 35.7858 + 24.3984i 1.36136 + 0.928158i 0.999991 0.00426618i \(-0.00135797\pi\)
0.361366 + 0.932424i \(0.382310\pi\)
\(692\) 1.02427 + 0.493263i 0.0389369 + 0.0187510i
\(693\) 16.7346 + 41.8324i 0.635694 + 1.58908i
\(694\) 36.7931 17.7186i 1.39665 0.672590i
\(695\) −23.2812 3.50908i −0.883107 0.133107i
\(696\) 6.00761 51.3337i 0.227718 1.94580i
\(697\) −27.0964 + 4.08413i −1.02635 + 0.154697i
\(698\) 7.75162 + 33.9621i 0.293403 + 1.28548i
\(699\) −9.58173 + 15.1046i −0.362414 + 0.571310i
\(700\) 2.60662 1.06885i 0.0985212 0.0403987i
\(701\) −12.4391 + 15.5981i −0.469817 + 0.589131i −0.959126 0.282979i \(-0.908677\pi\)
0.489310 + 0.872110i \(0.337249\pi\)
\(702\) 32.6811 0.800750i 1.23347 0.0302224i
\(703\) 8.62322 8.00118i 0.325231 0.301770i
\(704\) −49.4417 −1.86340
\(705\) −52.1307 10.0961i −1.96336 0.380241i
\(706\) −11.2316 + 10.4214i −0.422707 + 0.392214i
\(707\) 21.4389 17.6346i 0.806295 0.663218i
\(708\) −1.47427 + 3.33979i −0.0554064 + 0.125517i
\(709\) 23.0228 7.10159i 0.864639 0.266706i 0.169455 0.985538i \(-0.445799\pi\)
0.695184 + 0.718832i \(0.255323\pi\)
\(710\) 50.3541 + 7.58967i 1.88976 + 0.284835i
\(711\) −0.0143613 + 1.66949i −0.000538589 + 0.0626109i
\(712\) −4.60098 4.26908i −0.172429 0.159991i
\(713\) 2.96461 + 2.75076i 0.111026 + 0.103017i
\(714\) 21.9878 7.96246i 0.822874 0.297988i
\(715\) 60.7493 56.3671i 2.27190 2.10801i
\(716\) −0.583799 −0.0218176
\(717\) −5.45776 1.05700i −0.203824 0.0394743i
\(718\) 10.8311 + 47.4541i 0.404213 + 1.77097i
\(719\) 12.0691 8.22858i 0.450102 0.306874i −0.316970 0.948436i \(-0.602665\pi\)
0.767072 + 0.641561i \(0.221713\pi\)
\(720\) 0.275895 32.0728i 0.0102820 1.19528i
\(721\) −26.6121 + 21.8898i −0.991087 + 0.815218i
\(722\) 19.3681 2.91927i 0.720806 0.108644i
\(723\) −2.40034 1.28186i −0.0892698 0.0476728i
\(724\) 3.08657 0.465225i 0.114711 0.0172900i
\(725\) 37.2990 25.4300i 1.38525 0.944446i
\(726\) 37.1308 31.6767i 1.37805 1.17563i
\(727\) 0.734477 9.80092i 0.0272403 0.363496i −0.966881 0.255226i \(-0.917850\pi\)
0.994122 0.108270i \(-0.0345310\pi\)
\(728\) −11.5128 35.4108i −0.426692 1.31241i
\(729\) 0.696681 26.9910i 0.0258030 0.999667i
\(730\) −0.298071 + 3.97748i −0.0110321 + 0.147213i
\(731\) 3.39164 14.8598i 0.125444 0.549608i
\(732\) −0.359591 + 1.31929i −0.0132909 + 0.0487623i
\(733\) −1.17293 1.47081i −0.0433233 0.0543257i 0.759698 0.650276i \(-0.225347\pi\)
−0.803021 + 0.595951i \(0.796775\pi\)
\(734\) −15.4793 26.8109i −0.571350 0.989607i
\(735\) 22.9568 + 29.4709i 0.846773 + 1.08705i
\(736\) 1.09924 1.90394i 0.0405186 0.0701802i
\(737\) 9.96504 1.50199i 0.367067 0.0553264i
\(738\) −28.3392 + 1.87874i −1.04318 + 0.0691575i
\(739\) 22.2727 6.87021i 0.819314 0.252725i 0.143362 0.989670i \(-0.454209\pi\)
0.675952 + 0.736946i \(0.263733\pi\)
\(740\) −3.44291 2.34734i −0.126564 0.0862899i
\(741\) −15.5335 + 6.69780i −0.570636 + 0.246050i
\(742\) −2.50846 15.0886i −0.0920885 0.553921i
\(743\) −34.9539 23.8312i −1.28233 0.874281i −0.285868 0.958269i \(-0.592282\pi\)
−0.996467 + 0.0839879i \(0.973234\pi\)
\(744\) 11.8904 + 4.21813i 0.435924 + 0.154644i
\(745\) 19.0657 + 9.18156i 0.698513 + 0.336386i
\(746\) −8.50252 + 21.6641i −0.311299 + 0.793178i
\(747\) −2.75947 + 17.2970i −0.100964 + 0.632862i
\(748\) 3.22329 + 4.04188i 0.117855 + 0.147786i
\(749\) −24.8012 35.2188i −0.906215 1.28687i
\(750\) −2.73042 + 2.32935i −0.0997008 + 0.0850558i
\(751\) −22.4681 10.8200i −0.819871 0.394829i −0.0235646 0.999722i \(-0.507502\pi\)
−0.796307 + 0.604893i \(0.793216\pi\)
\(752\) 32.9911 + 10.1764i 1.20306 + 0.371096i
\(753\) −9.45191 + 10.8882i −0.344447 + 0.396790i
\(754\) −31.6025 54.7371i −1.15089 1.99341i
\(755\) −2.65824 11.6465i −0.0967432 0.423860i
\(756\) −3.14488 + 0.850221i −0.114378 + 0.0309223i
\(757\) −7.42082 + 32.5128i −0.269714 + 1.18170i 0.640632 + 0.767848i \(0.278673\pi\)
−0.910346 + 0.413848i \(0.864185\pi\)
\(758\) 9.51455 2.93485i 0.345584 0.106599i
\(759\) 2.94578 + 15.9439i 0.106925 + 0.578728i
\(760\) 6.89162 + 17.5596i 0.249985 + 0.636952i
\(761\) −5.25002 + 23.0018i −0.190313 + 0.833816i 0.786134 + 0.618056i \(0.212080\pi\)
−0.976447 + 0.215759i \(0.930777\pi\)
\(762\) 14.9191 33.7976i 0.540462 1.22436i
\(763\) −4.73503 + 35.0033i −0.171420 + 1.26721i
\(764\) −0.0269177 0.117934i −0.000973849 0.00426671i
\(765\) −27.9641 + 21.9098i −1.01105 + 0.792150i
\(766\) 3.84228 + 6.65503i 0.138827 + 0.240456i
\(767\) 9.37803 + 41.0878i 0.338621 + 1.48360i
\(768\) 1.12830 9.64107i 0.0407141 0.347892i
\(769\) −27.6200 4.16304i −0.996002 0.150123i −0.369240 0.929334i \(-0.620382\pi\)
−0.626762 + 0.779211i \(0.715620\pi\)
\(770\) 33.8392 51.2846i 1.21948 1.84817i
\(771\) −18.3463 0.765501i −0.660726 0.0275688i
\(772\) 0.879934 0.816460i 0.0316695 0.0293850i
\(773\) 9.80704 24.9879i 0.352735 0.898753i −0.638854 0.769328i \(-0.720591\pi\)
0.991589 0.129426i \(-0.0413134\pi\)
\(774\) 4.78609 15.0551i 0.172032 0.541144i
\(775\) 4.02597 + 10.2580i 0.144617 + 0.368479i
\(776\) −0.568346 + 7.58405i −0.0204024 + 0.272252i
\(777\) 8.36974 24.7778i 0.300263 0.888898i
\(778\) 2.43436 + 32.4843i 0.0872760 + 1.16462i
\(779\) 13.2409 6.37649i 0.474405 0.228462i
\(780\) 3.53748 + 4.83652i 0.126662 + 0.173175i
\(781\) −63.6586 + 30.6564i −2.27788 + 1.09697i
\(782\) 8.32144 1.25426i 0.297574 0.0448521i
\(783\) −46.4635 + 23.7949i −1.66047 + 0.850359i
\(784\) −12.7760 20.6578i −0.456287 0.737779i
\(785\) −19.7261 + 34.1666i −0.704055 + 1.21946i
\(786\) −20.9370 40.0305i −0.746796 1.42784i
\(787\) 0.0955580 1.27513i 0.00340628 0.0454536i −0.995242 0.0974375i \(-0.968935\pi\)
0.998648 + 0.0519839i \(0.0165544\pi\)
\(788\) −3.75953 3.48834i −0.133928 0.124267i
\(789\) 3.69228 13.5465i 0.131449 0.482267i
\(790\) 1.88117 1.28256i 0.0669291 0.0456315i
\(791\) 24.8767 2.24352i 0.884515 0.0797702i
\(792\) 28.1328 + 42.0357i 0.999657 + 1.49367i
\(793\) 5.76717 + 14.6945i 0.204798 + 0.521818i
\(794\) −34.7697 16.7442i −1.23393 0.594230i
\(795\) 10.7691 + 20.5900i 0.381940 + 0.730252i
\(796\) −0.880304 3.85687i −0.0312016 0.136703i
\(797\) −2.35256 + 5.99422i −0.0833319 + 0.212326i −0.966466 0.256794i \(-0.917334\pi\)
0.883134 + 0.469120i \(0.155429\pi\)
\(798\) −10.0098 + 7.55652i −0.354341 + 0.267498i
\(799\) −13.9706 35.5965i −0.494244 1.25931i
\(800\) 4.94958 3.37457i 0.174994 0.119309i
\(801\) −0.998722 + 6.26022i −0.0352881 + 0.221194i
\(802\) 5.92344 + 10.2597i 0.209164 + 0.362282i
\(803\) −2.76712 4.79280i −0.0976497 0.169134i
\(804\) 0.0241139 + 0.728273i 0.000850430 + 0.0256842i
\(805\) 6.01559 + 12.0224i 0.212022 + 0.423733i
\(806\) 14.7434 4.54772i 0.519313 0.160187i
\(807\) 13.0037 29.4585i 0.457753 1.03699i
\(808\) 19.4306 24.3652i 0.683567 0.857166i
\(809\) 40.1237 + 6.04768i 1.41068 + 0.212625i 0.809794 0.586714i \(-0.199579\pi\)
0.600881 + 0.799339i \(0.294817\pi\)
\(810\) −30.7746 + 20.2151i −1.08131 + 0.710287i
\(811\) 3.84786 16.8586i 0.135117 0.591984i −0.861351 0.508010i \(-0.830381\pi\)
0.996468 0.0839745i \(-0.0267614\pi\)
\(812\) 4.35358 + 4.55183i 0.152781 + 0.159738i
\(813\) −26.6310 + 16.5740i −0.933989 + 0.581276i
\(814\) −43.0153 −1.50769
\(815\) −6.76951 + 11.7251i −0.237125 + 0.410713i
\(816\) 19.6105 12.2048i 0.686505 0.427253i
\(817\) 0.610877 + 8.15159i 0.0213719 + 0.285188i
\(818\) −27.8979 + 34.9829i −0.975429 + 1.22315i
\(819\) −23.2557 + 29.5562i −0.812620 + 1.03278i
\(820\) −3.24581 4.07012i −0.113349 0.142135i
\(821\) −6.29752 + 5.84324i −0.219785 + 0.203931i −0.782379 0.622803i \(-0.785994\pi\)
0.562594 + 0.826733i \(0.309803\pi\)
\(822\) −14.6374 27.9860i −0.510538 0.976125i
\(823\) −12.0271 + 8.19995i −0.419239 + 0.285832i −0.754509 0.656290i \(-0.772125\pi\)
0.335270 + 0.942122i \(0.391173\pi\)
\(824\) −24.1192 + 30.2445i −0.840232 + 1.05362i
\(825\) −11.6180 + 42.6248i −0.404487 + 1.48401i
\(826\) 13.9821 + 27.9438i 0.486501 + 0.972289i
\(827\) −41.5056 19.9881i −1.44329 0.695053i −0.461876 0.886944i \(-0.652823\pi\)
−0.981416 + 0.191892i \(0.938538\pi\)
\(828\) −1.16979 + 0.0775507i −0.0406529 + 0.00269507i
\(829\) −41.9515 + 12.9403i −1.45704 + 0.449436i −0.919260 0.393652i \(-0.871212\pi\)
−0.537776 + 0.843088i \(0.680735\pi\)
\(830\) 21.5208 10.3639i 0.746999 0.359736i
\(831\) 0.132220 + 0.00551690i 0.00458667 + 0.000191379i
\(832\) −20.6349 35.7406i −0.715385 1.23908i
\(833\) −9.06592 + 25.3293i −0.314115 + 0.877608i
\(834\) −5.73280 16.6122i −0.198511 0.575235i
\(835\) 14.0981 35.9215i 0.487886 1.24311i
\(836\) −2.29084 1.56187i −0.0792303 0.0540183i
\(837\) −3.13902 12.3502i −0.108500 0.426887i
\(838\) 0.255686 3.41189i 0.00883252 0.117862i
\(839\) −21.7549 + 14.8322i −0.751062 + 0.512065i −0.877304 0.479934i \(-0.840660\pi\)
0.126243 + 0.991999i \(0.459708\pi\)
\(840\) 32.0829 + 27.0097i 1.10697 + 0.931925i
\(841\) 59.4296 + 40.5184i 2.04930 + 1.39719i
\(842\) −5.06072 + 6.34595i −0.174404 + 0.218696i
\(843\) −1.94558 + 16.6245i −0.0670093 + 0.572579i
\(844\) −2.63128 3.29951i −0.0905722 0.113574i
\(845\) 27.8256 + 8.58307i 0.957231 + 0.295267i
\(846\) −11.3561 37.9721i −0.390430 1.30551i
\(847\) 0.850177 + 56.1422i 0.0292124 + 1.92907i
\(848\) −5.51960 14.0637i −0.189544 0.482950i
\(849\) −4.06529 + 34.7370i −0.139520 + 1.19217i
\(850\) 21.9119 + 6.75892i 0.751572 + 0.231829i
\(851\) 4.70578 8.15065i 0.161312 0.279401i
\(852\) −1.66659 4.82936i −0.0570963 0.165451i
\(853\) 31.3980 + 9.68499i 1.07505 + 0.331608i 0.781223 0.624252i \(-0.214596\pi\)
0.293823 + 0.955860i \(0.405072\pi\)
\(854\) 6.73866 + 9.56921i 0.230592 + 0.327452i
\(855\) 10.8677 15.6491i 0.371668 0.535188i
\(856\) −35.4488 32.8917i −1.21162 1.12421i
\(857\) −24.6108 + 30.8610i −0.840689 + 1.05419i 0.157090 + 0.987584i \(0.449789\pi\)
−0.997779 + 0.0666067i \(0.978783\pi\)
\(858\) 58.2967 + 20.6808i 1.99022 + 0.706030i
\(859\) −11.6786 + 51.1673i −0.398468 + 1.74580i 0.234962 + 0.972005i \(0.424503\pi\)
−0.633431 + 0.773800i \(0.718354\pi\)
\(860\) 2.76699 0.853503i 0.0943536 0.0291042i
\(861\) 19.1162 26.4980i 0.651478 0.903050i
\(862\) 39.9986 + 12.3379i 1.36236 + 0.420232i
\(863\) 22.0595 38.2082i 0.750914 1.30062i −0.196466 0.980511i \(-0.562946\pi\)
0.947380 0.320111i \(-0.103720\pi\)
\(864\) −6.16571 + 3.15758i −0.209762 + 0.107423i
\(865\) −10.8358 + 10.0542i −0.368428 + 0.341852i
\(866\) 2.97170 + 39.6545i 0.100982 + 1.34752i
\(867\) 3.63906 + 1.29096i 0.123589 + 0.0438432i
\(868\) −1.31976 + 0.788846i −0.0447955 + 0.0267752i
\(869\) −1.15413 + 2.94068i −0.0391512 + 0.0997557i
\(870\) 62.7951 + 33.5345i 2.12895 + 1.13693i
\(871\) 5.24475 + 6.57671i 0.177712 + 0.222843i
\(872\) 2.96335 + 39.5432i 0.100352 + 1.33910i
\(873\) 6.68521 3.78341i 0.226260 0.128049i
\(874\) −4.06636 + 1.95825i −0.137547 + 0.0662389i
\(875\) −0.0625179 4.12842i −0.00211349 0.139566i
\(876\) 0.367456 0.158442i 0.0124152 0.00535325i
\(877\) 21.1548 10.1876i 0.714345 0.344011i −0.0411604 0.999153i \(-0.513105\pi\)
0.755506 + 0.655142i \(0.227391\pi\)
\(878\) −12.3811 11.4880i −0.417843 0.387702i
\(879\) 0.966435 0.254506i 0.0325971 0.00858426i
\(880\) 22.1721 56.4936i 0.747422 1.90440i
\(881\) 37.5596 1.26542 0.632708 0.774390i \(-0.281943\pi\)
0.632708 + 0.774390i \(0.281943\pi\)
\(882\) −11.5507 + 25.3787i −0.388934 + 0.854544i
\(883\) −5.01843 −0.168884 −0.0844419 0.996428i \(-0.526911\pi\)
−0.0844419 + 0.996428i \(0.526911\pi\)
\(884\) −1.57655 + 4.01697i −0.0530250 + 0.135105i
\(885\) −33.4201 33.7088i −1.12341 1.13311i
\(886\) 6.46962 + 6.00293i 0.217351 + 0.201672i
\(887\) 3.82559 1.84231i 0.128451 0.0618587i −0.368555 0.929606i \(-0.620147\pi\)
0.497005 + 0.867747i \(0.334433\pi\)
\(888\) 3.41281 29.1616i 0.114526 0.978601i
\(889\) 19.0183 + 38.0087i 0.637853 + 1.27477i
\(890\) 7.78895 3.75096i 0.261086 0.125732i
\(891\) 19.4799 47.2285i 0.652603 1.58221i
\(892\) 0.0107643 + 0.143640i 0.000360416 + 0.00480942i
\(893\) 12.7869 + 16.0342i 0.427896 + 0.536565i
\(894\) 0.522703 + 15.7864i 0.0174818 + 0.527975i
\(895\) 2.77321 7.06604i 0.0926983 0.236192i
\(896\) −16.2733 17.0144i −0.543654 0.568410i
\(897\) −10.2962 + 8.78378i −0.343779 + 0.293282i
\(898\) 0.0357697 + 0.477313i 0.00119365 + 0.0159281i
\(899\) −18.0604 + 16.7576i −0.602348 + 0.558897i
\(900\) −2.96350 1.19261i −0.0987833 0.0397535i
\(901\) −8.36684 + 14.4918i −0.278740 + 0.482792i
\(902\) −51.3524 15.8401i −1.70985 0.527418i
\(903\) 9.83536 + 15.2826i 0.327300 + 0.508572i
\(904\) 26.7952 8.26523i 0.891196 0.274897i
\(905\) −9.03122 + 39.5683i −0.300208 + 1.31530i
\(906\) 6.78350 5.78708i 0.225367 0.192263i
\(907\) −25.3729 + 31.8167i −0.842494 + 1.05645i 0.155152 + 0.987891i \(0.450413\pi\)
−0.997647 + 0.0685640i \(0.978158\pi\)
\(908\) 1.99923 + 1.85501i 0.0663468 + 0.0615608i
\(909\) −31.3673 2.62217i −1.04039 0.0869719i
\(910\) 51.1959 + 3.05786i 1.69713 + 0.101367i
\(911\) 41.6708 + 12.8537i 1.38062 + 0.425863i 0.894123 0.447821i \(-0.147800\pi\)
0.486492 + 0.873685i \(0.338276\pi\)
\(912\) −8.12079 + 9.35484i −0.268906 + 0.309770i
\(913\) −16.5712 + 28.7021i −0.548426 + 0.949902i
\(914\) −19.2978 5.95258i −0.638314 0.196894i
\(915\) −14.2599 10.6193i −0.471418 0.351064i
\(916\) 0.0870167 + 0.221715i 0.00287511 + 0.00732566i
\(917\) 50.8369 + 10.7960i 1.67878 + 0.356517i
\(918\) −24.1650 10.9163i −0.797563 0.360293i
\(919\) 32.1171 + 9.90682i 1.05945 + 0.326796i 0.775043 0.631909i \(-0.217728\pi\)
0.284404 + 0.958705i \(0.408204\pi\)
\(920\) 9.40977 + 11.7995i 0.310231 + 0.389017i
\(921\) −2.37984 + 1.02615i −0.0784184 + 0.0338129i
\(922\) 31.3295 39.2859i 1.03178 1.29381i
\(923\) −48.7294 33.2232i −1.60395 1.09355i
\(924\) −6.13259 0.623728i −0.201748 0.0205192i
\(925\) 21.1888 14.4463i 0.696684 0.474991i
\(926\) −1.97256 + 26.3219i −0.0648222 + 0.864992i
\(927\) 38.9361 + 3.25489i 1.27883 + 0.106905i
\(928\) 11.0659 + 7.54463i 0.363257 + 0.247664i
\(929\) 7.85771 20.0211i 0.257803 0.656871i −0.742107 0.670281i \(-0.766173\pi\)
0.999910 + 0.0134101i \(0.00426869\pi\)
\(930\) −11.3918 + 13.1229i −0.373551 + 0.430316i
\(931\) 0.642075 14.4141i 0.0210432 0.472403i
\(932\) −1.22363 2.11938i −0.0400812 0.0694227i
\(933\) −7.37373 + 11.6240i −0.241405 + 0.380551i
\(934\) −16.0847 + 7.74597i −0.526306 + 0.253456i
\(935\) −64.2326 + 19.8131i −2.10063 + 0.647958i
\(936\) −18.6455 + 37.8807i −0.609446 + 1.23817i
\(937\) 0.499595 + 0.240592i 0.0163211 + 0.00785980i 0.442026 0.897002i \(-0.354260\pi\)
−0.425705 + 0.904862i \(0.639974\pi\)
\(938\) 4.93441 + 3.81427i 0.161114 + 0.124540i
\(939\) 26.8314 7.06590i 0.875609 0.230587i
\(940\) 4.52950 5.67981i 0.147736 0.185255i
\(941\) −9.77165 + 6.66220i −0.318547 + 0.217181i −0.712028 0.702151i \(-0.752223\pi\)
0.393481 + 0.919333i \(0.371271\pi\)
\(942\) −29.4219 1.22763i −0.958618 0.0399984i
\(943\) 8.61926 7.99751i 0.280682 0.260435i
\(944\) 19.2430 + 24.1299i 0.626306 + 0.785362i
\(945\) 4.64842 42.1030i 0.151213 1.36961i
\(946\) 18.6370 23.3700i 0.605940 0.759825i
\(947\) −0.885526 11.8165i −0.0287757 0.383986i −0.992935 0.118661i \(-0.962140\pi\)
0.964159 0.265325i \(-0.0854792\pi\)
\(948\) −0.201488 0.107600i −0.00654401 0.00349470i
\(949\) 2.30976 4.00062i 0.0749780 0.129866i
\(950\) −12.2980 −0.399000
\(951\) 0.515652 + 15.5734i 0.0167212 + 0.505003i
\(952\) −4.04870 + 29.9297i −0.131219 + 0.970026i
\(953\) 2.09255 9.16807i 0.0677844 0.296983i −0.929661 0.368416i \(-0.879900\pi\)
0.997445 + 0.0714332i \(0.0227573\pi\)
\(954\) −9.89297 + 14.2455i −0.320297 + 0.461215i
\(955\) 1.55529 + 0.234422i 0.0503280 + 0.00758572i
\(956\) 0.474210 0.594640i 0.0153370 0.0192320i
\(957\) −98.1998 + 10.6369i −3.17435 + 0.343844i
\(958\) 35.2289 10.8667i 1.13819 0.351086i
\(959\) 35.5410 + 7.54771i 1.14768 + 0.243728i
\(960\) 41.0021 + 21.8964i 1.32334 + 0.706703i
\(961\) 12.4929 + 21.6384i 0.402998 + 0.698012i
\(962\) −17.9528 31.0951i −0.578820 1.00255i
\(963\) −7.69478 + 48.2326i −0.247961 + 1.55427i
\(964\) 0.307605 0.209722i 0.00990729 0.00675468i
\(965\) 5.70211 + 14.5287i 0.183557 + 0.467697i
\(966\) −5.87068 + 8.13767i −0.188886 + 0.261825i
\(967\) −18.1122 + 46.1490i −0.582448 + 1.48405i 0.270847 + 0.962622i \(0.412696\pi\)
−0.853294 + 0.521430i \(0.825399\pi\)
\(968\) 14.0266 + 61.4544i 0.450831 + 1.97522i
\(969\) 13.7089 + 0.572005i 0.440394 + 0.0183755i
\(970\) −9.43801 4.54511i −0.303036 0.145935i
\(971\) −2.60505 6.63757i −0.0836002 0.213010i 0.882961 0.469447i \(-0.155547\pi\)
−0.966561 + 0.256437i \(0.917451\pi\)
\(972\) 3.22804 + 1.79591i 0.103539 + 0.0576039i
\(973\) 18.9293 + 7.10034i 0.606844 + 0.227626i
\(974\) 15.2035 10.3656i 0.487152 0.332134i
\(975\) −35.6617 + 9.39132i −1.14209 + 0.300763i
\(976\) 8.47425 + 7.86296i 0.271254 + 0.251687i
\(977\) −0.268548 + 3.58352i −0.00859161 + 0.114647i −0.999851 0.0172830i \(-0.994498\pi\)
0.991259 + 0.131930i \(0.0421174\pi\)
\(978\) −10.0969 0.421292i −0.322862 0.0134714i
\(979\) −5.99754 + 10.3880i −0.191682 + 0.332003i
\(980\) −5.02850 + 0.914431i −0.160630 + 0.0292104i
\(981\) 31.5272 24.7014i 1.00659 0.788656i
\(982\) 44.3705 6.68778i 1.41592 0.213416i
\(983\) −36.2156 + 17.4405i −1.15510 + 0.556267i −0.910562 0.413373i \(-0.864351\pi\)
−0.244538 + 0.969640i \(0.578636\pi\)
\(984\) 14.8129 33.5569i 0.472217 1.06976i
\(985\) 60.0801 28.9330i 1.91431 0.921883i
\(986\) 3.83117 + 51.1234i 0.122009 + 1.62810i
\(987\) 41.9866 + 17.7793i 1.33645 + 0.565921i
\(988\) 0.172951 2.30787i 0.00550230 0.0734231i
\(989\) 2.38937 + 6.08801i 0.0759775 + 0.193588i
\(990\) −68.0535 + 14.9181i −2.16288 + 0.474127i
\(991\) −1.88016 + 4.79057i −0.0597253 + 0.152178i −0.957621 0.288030i \(-0.907000\pi\)
0.897896 + 0.440207i \(0.145095\pi\)
\(992\) −2.39662 + 2.22374i −0.0760926 + 0.0706037i
\(993\) −24.9002 47.6079i −0.790183 1.51079i
\(994\) −40.9415 15.3571i −1.29858 0.487097i
\(995\) 50.8634 + 7.66643i 1.61248 + 0.243042i
\(996\) −1.92200 1.43131i −0.0609007 0.0453527i
\(997\) −13.6117 59.6369i −0.431088 1.88872i −0.457762 0.889075i \(-0.651349\pi\)
0.0266742 0.999644i \(-0.491508\pi\)
\(998\) −13.3147 23.0618i −0.421471 0.730009i
\(999\) −26.3950 + 13.5174i −0.835101 + 0.427671i
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 441.2.z.a.142.39 yes 648
9.4 even 3 441.2.y.a.436.39 yes 648
49.39 even 21 441.2.y.a.88.39 648
441.382 even 21 inner 441.2.z.a.382.39 yes 648
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
441.2.y.a.88.39 648 49.39 even 21
441.2.y.a.436.39 yes 648 9.4 even 3
441.2.z.a.142.39 yes 648 1.1 even 1 trivial
441.2.z.a.382.39 yes 648 441.382 even 21 inner