Properties

Label 225.2.q.a.121.18
Level $225$
Weight $2$
Character 225.121
Analytic conductor $1.797$
Analytic rank $0$
Dimension $224$
CM no
Inner twists $4$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [225,2,Mod(16,225)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(225, base_ring=CyclotomicField(30))
 
chi = DirichletCharacter(H, H._module([20, 6]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("225.16");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 225 = 3^{2} \cdot 5^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 225.q (of order \(15\), degree \(8\), 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: \(1.79663404548\)
Analytic rank: \(0\)
Dimension: \(224\)
Relative dimension: \(28\) over \(\Q(\zeta_{15})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{15}]$

Embedding invariants

Embedding label 121.18
Character \(\chi\) \(=\) 225.121
Dual form 225.2.q.a.106.18

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(0.429627 - 0.0913200i) q^{2} +(0.335739 - 1.69920i) q^{3} +(-1.65085 + 0.735006i) q^{4} +(-1.76971 - 1.36679i) q^{5} +(-0.0109284 - 0.760681i) q^{6} +(-0.888066 - 1.53818i) q^{7} +(-1.35281 + 0.982874i) q^{8} +(-2.77456 - 1.14098i) q^{9} +O(q^{10})\) \(q+(0.429627 - 0.0913200i) q^{2} +(0.335739 - 1.69920i) q^{3} +(-1.65085 + 0.735006i) q^{4} +(-1.76971 - 1.36679i) q^{5} +(-0.0109284 - 0.760681i) q^{6} +(-0.888066 - 1.53818i) q^{7} +(-1.35281 + 0.982874i) q^{8} +(-2.77456 - 1.14098i) q^{9} +(-0.885131 - 0.425600i) q^{10} +(4.21184 - 0.895255i) q^{11} +(0.694667 + 3.05190i) q^{12} +(-6.27541 - 1.33388i) q^{13} +(-0.522003 - 0.579743i) q^{14} +(-2.91661 + 2.54821i) q^{15} +(1.92690 - 2.14004i) q^{16} +(0.162997 - 0.118424i) q^{17} +(-1.29622 - 0.236821i) q^{18} +(4.79916 - 3.48679i) q^{19} +(3.92613 + 0.955619i) q^{20} +(-2.91183 + 0.992576i) q^{21} +(1.72777 - 0.769251i) q^{22} +(1.83276 + 2.03549i) q^{23} +(1.21591 + 2.62868i) q^{24} +(1.26376 + 4.83765i) q^{25} -2.81790 q^{26} +(-2.87027 + 4.33146i) q^{27} +(2.59663 + 1.88657i) q^{28} +(0.0773364 - 0.735807i) q^{29} +(-1.02035 + 1.36112i) q^{30} +(-0.289472 - 2.75414i) q^{31} +(2.30458 - 3.99166i) q^{32} +(-0.107137 - 7.45733i) q^{33} +(0.0592133 - 0.0657630i) q^{34} +(-0.530743 + 3.93593i) q^{35} +(5.41901 - 0.155738i) q^{36} +(-1.36941 - 4.21461i) q^{37} +(1.74343 - 1.93628i) q^{38} +(-4.37343 + 10.2153i) q^{39} +(3.73747 + 0.109604i) q^{40} +(12.3006 + 2.61458i) q^{41} +(-1.16036 + 0.692345i) q^{42} +(-3.91700 - 6.78444i) q^{43} +(-6.29511 + 4.57366i) q^{44} +(3.35070 + 5.81144i) q^{45} +(0.973285 + 0.707133i) q^{46} +(-0.0518311 + 0.493140i) q^{47} +(-2.98942 - 3.99268i) q^{48} +(1.92268 - 3.33017i) q^{49} +(0.984721 + 1.96298i) q^{50} +(-0.146502 - 0.316724i) q^{51} +(11.3402 - 2.41043i) q^{52} +(5.99398 + 4.35488i) q^{53} +(-0.837597 + 2.12302i) q^{54} +(-8.67738 - 4.17236i) q^{55} +(2.71322 + 1.20800i) q^{56} +(-4.31349 - 9.32538i) q^{57} +(-0.0339681 - 0.323185i) q^{58} +(-9.52123 - 2.02380i) q^{59} +(2.94194 - 6.35044i) q^{60} +(-9.51841 + 2.02320i) q^{61} +(-0.375873 - 1.15682i) q^{62} +(0.708972 + 5.28102i) q^{63} +(-1.15416 + 3.55215i) q^{64} +(9.28254 + 10.9378i) q^{65} +(-0.727032 - 3.19409i) q^{66} +(-0.0149037 - 0.141799i) q^{67} +(-0.182041 + 0.315304i) q^{68} +(4.07403 - 2.43084i) q^{69} +(0.131408 + 1.73945i) q^{70} +(1.95406 + 1.41971i) q^{71} +(4.87488 - 1.18352i) q^{72} +(-0.860848 + 2.64942i) q^{73} +(-0.973212 - 1.68565i) q^{74} +(8.64444 - 0.523199i) q^{75} +(-5.35988 + 9.28359i) q^{76} +(-5.11745 - 5.68351i) q^{77} +(-0.946077 + 4.78817i) q^{78} +(-1.34516 + 12.7983i) q^{79} +(-6.33505 + 1.15358i) q^{80} +(6.39635 + 6.33140i) q^{81} +5.52343 q^{82} +(3.13799 + 1.39712i) q^{83} +(4.07744 - 3.77881i) q^{84} +(-0.450318 - 0.0132059i) q^{85} +(-2.30240 - 2.55708i) q^{86} +(-1.22432 - 0.378449i) q^{87} +(-4.81790 + 5.35082i) q^{88} +(3.29985 - 10.1559i) q^{89} +(1.97025 + 2.19076i) q^{90} +(3.52124 + 10.8373i) q^{91} +(-4.52172 - 2.01320i) q^{92} +(-4.77702 - 0.432802i) q^{93} +(0.0227655 + 0.216599i) q^{94} +(-13.2588 - 0.388827i) q^{95} +(-6.00888 - 5.25610i) q^{96} +(1.65739 - 15.7690i) q^{97} +(0.521922 - 1.60631i) q^{98} +(-12.7075 - 2.32167i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 224 q - 3 q^{2} - 8 q^{3} + 23 q^{4} - 8 q^{5} - 10 q^{6} - 8 q^{7} - 20 q^{8} - 8 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 224 q - 3 q^{2} - 8 q^{3} + 23 q^{4} - 8 q^{5} - 10 q^{6} - 8 q^{7} - 20 q^{8} - 8 q^{9} - 20 q^{10} - 11 q^{11} - 4 q^{12} - 3 q^{13} + q^{14} - 48 q^{15} + 23 q^{16} - 24 q^{17} - 12 q^{19} + q^{20} + 15 q^{21} - 11 q^{22} + q^{23} - 30 q^{24} - 16 q^{25} - 136 q^{26} + 7 q^{27} + 4 q^{28} - 15 q^{29} - 24 q^{30} + 3 q^{31} + 12 q^{32} - 5 q^{33} + q^{34} + 14 q^{35} + 38 q^{36} - 24 q^{37} + 55 q^{38} + 20 q^{39} + q^{40} - 19 q^{41} - 38 q^{42} - 8 q^{43} + 4 q^{44} - 38 q^{45} - 20 q^{46} - 10 q^{47} - 25 q^{48} - 72 q^{49} - 3 q^{50} - 26 q^{51} - 25 q^{52} - 12 q^{53} + 53 q^{54} - 20 q^{55} - 60 q^{56} + 38 q^{57} - 23 q^{58} - 30 q^{59} - 33 q^{60} - 3 q^{61} - 44 q^{62} + 46 q^{63} - 44 q^{64} + 51 q^{65} - 134 q^{66} - 12 q^{67} - 156 q^{68} + 4 q^{69} - 16 q^{70} + 42 q^{71} + 74 q^{72} - 12 q^{73} + 90 q^{74} + 67 q^{75} - 8 q^{76} + 31 q^{77} - 92 q^{78} - 15 q^{79} + 298 q^{80} - 104 q^{81} + 8 q^{82} + 59 q^{83} + 115 q^{84} - 11 q^{85} + 9 q^{86} - 59 q^{87} - 23 q^{88} + 106 q^{89} + 107 q^{90} + 30 q^{91} + 11 q^{92} + 32 q^{93} + 25 q^{94} + 7 q^{95} + 35 q^{96} - 21 q^{97} + 146 q^{98} - 20 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/225\mathbb{Z}\right)^\times\).

\(n\) \(101\) \(127\)
\(\chi(n)\) \(e\left(\frac{1}{3}\right)\) \(e\left(\frac{3}{5}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.429627 0.0913200i 0.303792 0.0645730i −0.0534935 0.998568i \(-0.517036\pi\)
0.357286 + 0.933995i \(0.383702\pi\)
\(3\) 0.335739 1.69920i 0.193839 0.981033i
\(4\) −1.65085 + 0.735006i −0.825426 + 0.367503i
\(5\) −1.76971 1.36679i −0.791439 0.611248i
\(6\) −0.0109284 0.760681i −0.00446152 0.310547i
\(7\) −0.888066 1.53818i −0.335657 0.581376i 0.647953 0.761680i \(-0.275625\pi\)
−0.983611 + 0.180304i \(0.942292\pi\)
\(8\) −1.35281 + 0.982874i −0.478290 + 0.347498i
\(9\) −2.77456 1.14098i −0.924853 0.380325i
\(10\) −0.885131 0.425600i −0.279903 0.134587i
\(11\) 4.21184 0.895255i 1.26992 0.269929i 0.476808 0.879008i \(-0.341794\pi\)
0.793110 + 0.609078i \(0.208460\pi\)
\(12\) 0.694667 + 3.05190i 0.200533 + 0.881006i
\(13\) −6.27541 1.33388i −1.74049 0.369952i −0.775316 0.631573i \(-0.782409\pi\)
−0.965171 + 0.261622i \(0.915743\pi\)
\(14\) −0.522003 0.579743i −0.139511 0.154943i
\(15\) −2.91661 + 2.54821i −0.753066 + 0.657945i
\(16\) 1.92690 2.14004i 0.481725 0.535010i
\(17\) 0.162997 0.118424i 0.0395325 0.0287220i −0.567844 0.823137i \(-0.692222\pi\)
0.607376 + 0.794414i \(0.292222\pi\)
\(18\) −1.29622 0.236821i −0.305522 0.0558192i
\(19\) 4.79916 3.48679i 1.10100 0.799925i 0.119779 0.992801i \(-0.461781\pi\)
0.981223 + 0.192875i \(0.0617813\pi\)
\(20\) 3.92613 + 0.955619i 0.877910 + 0.213683i
\(21\) −2.91183 + 0.992576i −0.635413 + 0.216598i
\(22\) 1.72777 0.769251i 0.368361 0.164005i
\(23\) 1.83276 + 2.03549i 0.382158 + 0.424429i 0.903279 0.429054i \(-0.141153\pi\)
−0.521122 + 0.853483i \(0.674486\pi\)
\(24\) 1.21591 + 2.62868i 0.248196 + 0.536578i
\(25\) 1.26376 + 4.83765i 0.252753 + 0.967531i
\(26\) −2.81790 −0.552635
\(27\) −2.87027 + 4.33146i −0.552384 + 0.833590i
\(28\) 2.59663 + 1.88657i 0.490718 + 0.356527i
\(29\) 0.0773364 0.735807i 0.0143610 0.136636i −0.984992 0.172599i \(-0.944783\pi\)
0.999353 + 0.0359636i \(0.0114500\pi\)
\(30\) −1.02035 + 1.36112i −0.186290 + 0.248506i
\(31\) −0.289472 2.75414i −0.0519906 0.494658i −0.989272 0.146084i \(-0.953333\pi\)
0.937281 0.348573i \(-0.113334\pi\)
\(32\) 2.30458 3.99166i 0.407397 0.705632i
\(33\) −0.107137 7.45733i −0.0186501 1.29815i
\(34\) 0.0592133 0.0657630i 0.0101550 0.0112783i
\(35\) −0.530743 + 3.93593i −0.0897120 + 0.665294i
\(36\) 5.41901 0.155738i 0.903168 0.0259563i
\(37\) −1.36941 4.21461i −0.225129 0.692877i −0.998278 0.0586526i \(-0.981320\pi\)
0.773149 0.634224i \(-0.218680\pi\)
\(38\) 1.74343 1.93628i 0.282822 0.314106i
\(39\) −4.37343 + 10.2153i −0.700309 + 1.63576i
\(40\) 3.73747 + 0.109604i 0.590945 + 0.0173300i
\(41\) 12.3006 + 2.61458i 1.92103 + 0.408328i 0.999814 + 0.0192831i \(0.00613837\pi\)
0.921219 + 0.389045i \(0.127195\pi\)
\(42\) −1.16036 + 0.692345i −0.179047 + 0.106831i
\(43\) −3.91700 6.78444i −0.597336 1.03462i −0.993213 0.116313i \(-0.962892\pi\)
0.395876 0.918304i \(-0.370441\pi\)
\(44\) −6.29511 + 4.57366i −0.949023 + 0.689506i
\(45\) 3.35070 + 5.81144i 0.499492 + 0.866318i
\(46\) 0.973285 + 0.707133i 0.143503 + 0.104261i
\(47\) −0.0518311 + 0.493140i −0.00756034 + 0.0719318i −0.997652 0.0684942i \(-0.978181\pi\)
0.990091 + 0.140426i \(0.0448472\pi\)
\(48\) −2.98942 3.99268i −0.431485 0.576294i
\(49\) 1.92268 3.33017i 0.274668 0.475739i
\(50\) 0.984721 + 1.96298i 0.139261 + 0.277607i
\(51\) −0.146502 0.316724i −0.0205143 0.0443502i
\(52\) 11.3402 2.41043i 1.57260 0.334267i
\(53\) 5.99398 + 4.35488i 0.823336 + 0.598189i 0.917666 0.397352i \(-0.130071\pi\)
−0.0943302 + 0.995541i \(0.530071\pi\)
\(54\) −0.837597 + 2.12302i −0.113982 + 0.288907i
\(55\) −8.67738 4.17236i −1.17006 0.562602i
\(56\) 2.71322 + 1.20800i 0.362569 + 0.161426i
\(57\) −4.31349 9.32538i −0.571336 1.23518i
\(58\) −0.0339681 0.323185i −0.00446023 0.0424362i
\(59\) −9.52123 2.02380i −1.23956 0.263476i −0.458931 0.888472i \(-0.651767\pi\)
−0.780628 + 0.624996i \(0.785101\pi\)
\(60\) 2.94194 6.35044i 0.379803 0.819839i
\(61\) −9.51841 + 2.02320i −1.21871 + 0.259044i −0.771992 0.635632i \(-0.780740\pi\)
−0.446715 + 0.894676i \(0.647406\pi\)
\(62\) −0.375873 1.15682i −0.0477359 0.146916i
\(63\) 0.708972 + 5.28102i 0.0893220 + 0.665346i
\(64\) −1.15416 + 3.55215i −0.144270 + 0.444019i
\(65\) 9.28254 + 10.9378i 1.15136 + 1.35666i
\(66\) −0.727032 3.19409i −0.0894915 0.393165i
\(67\) −0.0149037 0.141799i −0.00182077 0.0173235i 0.993574 0.113186i \(-0.0361057\pi\)
−0.995395 + 0.0958627i \(0.969439\pi\)
\(68\) −0.182041 + 0.315304i −0.0220757 + 0.0382362i
\(69\) 4.07403 2.43084i 0.490456 0.292638i
\(70\) 0.131408 + 1.73945i 0.0157062 + 0.207904i
\(71\) 1.95406 + 1.41971i 0.231905 + 0.168489i 0.697669 0.716420i \(-0.254221\pi\)
−0.465764 + 0.884909i \(0.654221\pi\)
\(72\) 4.87488 1.18352i 0.574511 0.139479i
\(73\) −0.860848 + 2.64942i −0.100755 + 0.310091i −0.988711 0.149837i \(-0.952125\pi\)
0.887956 + 0.459928i \(0.152125\pi\)
\(74\) −0.973212 1.68565i −0.113134 0.195953i
\(75\) 8.64444 0.523199i 0.998173 0.0604138i
\(76\) −5.35988 + 9.28359i −0.614821 + 1.06490i
\(77\) −5.11745 5.68351i −0.583188 0.647696i
\(78\) −0.946077 + 4.78817i −0.107122 + 0.542153i
\(79\) −1.34516 + 12.7983i −0.151342 + 1.43993i 0.610425 + 0.792074i \(0.290999\pi\)
−0.761767 + 0.647851i \(0.775668\pi\)
\(80\) −6.33505 + 1.15358i −0.708280 + 0.128975i
\(81\) 6.39635 + 6.33140i 0.710706 + 0.703489i
\(82\) 5.52343 0.609961
\(83\) 3.13799 + 1.39712i 0.344439 + 0.153354i 0.571663 0.820488i \(-0.306298\pi\)
−0.227224 + 0.973842i \(0.572965\pi\)
\(84\) 4.07744 3.77881i 0.444885 0.412302i
\(85\) −0.450318 0.0132059i −0.0488439 0.00143239i
\(86\) −2.30240 2.55708i −0.248274 0.275737i
\(87\) −1.22432 0.378449i −0.131261 0.0405740i
\(88\) −4.81790 + 5.35082i −0.513590 + 0.570399i
\(89\) 3.29985 10.1559i 0.349784 1.07652i −0.609189 0.793025i \(-0.708505\pi\)
0.958973 0.283499i \(-0.0914952\pi\)
\(90\) 1.97025 + 2.19076i 0.207683 + 0.230927i
\(91\) 3.52124 + 10.8373i 0.369126 + 1.13605i
\(92\) −4.52172 2.01320i −0.471422 0.209890i
\(93\) −4.77702 0.432802i −0.495354 0.0448794i
\(94\) 0.0227655 + 0.216599i 0.00234808 + 0.0223405i
\(95\) −13.2588 0.388827i −1.36033 0.0398928i
\(96\) −6.00888 5.25610i −0.613279 0.536449i
\(97\) 1.65739 15.7690i 0.168283 1.60110i −0.505936 0.862571i \(-0.668853\pi\)
0.674219 0.738531i \(-0.264480\pi\)
\(98\) 0.521922 1.60631i 0.0527221 0.162262i
\(99\) −12.7075 2.32167i −1.27715 0.233337i
\(100\) −5.64199 7.05737i −0.564199 0.705737i
\(101\) −5.03293 8.71729i −0.500795 0.867403i −1.00000 0.000918779i \(-0.999708\pi\)
0.499204 0.866484i \(-0.333626\pi\)
\(102\) −0.0918642 0.122694i −0.00909592 0.0121486i
\(103\) 4.55818 2.02943i 0.449131 0.199966i −0.169691 0.985497i \(-0.554277\pi\)
0.618822 + 0.785531i \(0.287610\pi\)
\(104\) 9.80048 4.36345i 0.961016 0.427872i
\(105\) 6.50974 + 2.22328i 0.635286 + 0.216970i
\(106\) 2.97286 + 1.32360i 0.288750 + 0.128560i
\(107\) −7.10081 −0.686461 −0.343230 0.939251i \(-0.611521\pi\)
−0.343230 + 0.939251i \(0.611521\pi\)
\(108\) 1.55474 9.26026i 0.149605 0.891069i
\(109\) 0.177831 + 0.547308i 0.0170331 + 0.0524226i 0.959212 0.282688i \(-0.0912262\pi\)
−0.942179 + 0.335111i \(0.891226\pi\)
\(110\) −4.10905 1.00014i −0.391783 0.0953598i
\(111\) −7.62122 + 0.911891i −0.723374 + 0.0865529i
\(112\) −5.00297 1.06341i −0.472736 0.100483i
\(113\) 0.268332 + 0.0570356i 0.0252425 + 0.00536546i 0.220516 0.975383i \(-0.429226\pi\)
−0.195273 + 0.980749i \(0.562559\pi\)
\(114\) −2.70479 3.61252i −0.253326 0.338344i
\(115\) −0.461375 6.10724i −0.0430234 0.569503i
\(116\) 0.413152 + 1.27155i 0.0383602 + 0.118060i
\(117\) 15.8896 + 10.8610i 1.46899 + 1.00410i
\(118\) −4.27539 −0.393581
\(119\) −0.326909 0.145549i −0.0299677 0.0133425i
\(120\) 1.44105 6.31390i 0.131550 0.576378i
\(121\) 6.88913 3.06724i 0.626285 0.278840i
\(122\) −3.90460 + 1.73844i −0.353506 + 0.157391i
\(123\) 8.57248 20.0234i 0.772955 1.80545i
\(124\) 2.50218 + 4.33391i 0.224703 + 0.389196i
\(125\) 4.37556 10.2886i 0.391362 0.920237i
\(126\) 0.786856 + 2.20412i 0.0700987 + 0.196359i
\(127\) 0.765000 2.35443i 0.0678828 0.208922i −0.911361 0.411608i \(-0.864967\pi\)
0.979244 + 0.202687i \(0.0649672\pi\)
\(128\) −1.13506 + 10.7993i −0.100326 + 0.954535i
\(129\) −12.8432 + 4.37796i −1.13078 + 0.385458i
\(130\) 4.98686 + 3.85147i 0.437377 + 0.337797i
\(131\) −0.120783 1.14917i −0.0105528 0.100403i 0.987978 0.154597i \(-0.0494079\pi\)
−0.998530 + 0.0541935i \(0.982741\pi\)
\(132\) 5.65805 + 12.2322i 0.492470 + 1.06468i
\(133\) −9.62527 4.28545i −0.834617 0.371595i
\(134\) −0.0193521 0.0595597i −0.00167177 0.00514517i
\(135\) 10.9998 3.74238i 0.946708 0.322092i
\(136\) −0.104108 + 0.320410i −0.00892716 + 0.0274750i
\(137\) −5.64765 + 6.27235i −0.482511 + 0.535883i −0.934416 0.356183i \(-0.884078\pi\)
0.451905 + 0.892066i \(0.350745\pi\)
\(138\) 1.52833 1.41639i 0.130100 0.120571i
\(139\) 2.33243 + 2.59043i 0.197835 + 0.219718i 0.833897 0.551920i \(-0.186105\pi\)
−0.636063 + 0.771638i \(0.719438\pi\)
\(140\) −2.01676 6.88773i −0.170447 0.582120i
\(141\) 0.820541 + 0.253638i 0.0691020 + 0.0213601i
\(142\) 0.969166 + 0.431501i 0.0813306 + 0.0362107i
\(143\) −27.6252 −2.31014
\(144\) −7.78803 + 3.73912i −0.649002 + 0.311593i
\(145\) −1.14256 + 1.19646i −0.0948842 + 0.0993609i
\(146\) −0.127899 + 1.21687i −0.0105850 + 0.100709i
\(147\) −5.01311 4.38508i −0.413475 0.361675i
\(148\) 5.35845 + 5.95116i 0.440462 + 0.489183i
\(149\) 6.94885 12.0358i 0.569272 0.986008i −0.427366 0.904079i \(-0.640558\pi\)
0.996638 0.0819294i \(-0.0261082\pi\)
\(150\) 3.66610 1.01419i 0.299336 0.0828083i
\(151\) 2.35078 + 4.07166i 0.191303 + 0.331347i 0.945682 0.325092i \(-0.105395\pi\)
−0.754379 + 0.656439i \(0.772062\pi\)
\(152\) −3.06527 + 9.43393i −0.248626 + 0.765193i
\(153\) −0.587363 + 0.142599i −0.0474855 + 0.0115285i
\(154\) −2.71761 1.97446i −0.218991 0.159107i
\(155\) −3.25205 + 5.26968i −0.261211 + 0.423271i
\(156\) −0.288461 20.0785i −0.0230954 1.60757i
\(157\) −4.75661 + 8.23869i −0.379619 + 0.657519i −0.991007 0.133812i \(-0.957278\pi\)
0.611388 + 0.791331i \(0.290611\pi\)
\(158\) 0.590827 + 5.62135i 0.0470037 + 0.447210i
\(159\) 9.41222 8.72286i 0.746438 0.691768i
\(160\) −9.53421 + 3.91420i −0.753746 + 0.309445i
\(161\) 1.50333 4.62676i 0.118479 0.364640i
\(162\) 3.32623 + 2.13603i 0.261333 + 0.167822i
\(163\) 2.56478 + 7.89358i 0.200889 + 0.618273i 0.999857 + 0.0168995i \(0.00537954\pi\)
−0.798968 + 0.601373i \(0.794620\pi\)
\(164\) −22.2282 + 4.72475i −1.73573 + 0.368941i
\(165\) −10.0030 + 13.3438i −0.778734 + 1.03881i
\(166\) 1.47575 + 0.313680i 0.114540 + 0.0243463i
\(167\) −1.49105 14.1864i −0.115381 1.09778i −0.887024 0.461723i \(-0.847231\pi\)
0.771643 0.636056i \(-0.219435\pi\)
\(168\) 2.96357 4.20472i 0.228644 0.324402i
\(169\) 25.7255 + 11.4537i 1.97888 + 0.881056i
\(170\) −0.194675 + 0.0354494i −0.0149309 + 0.00271885i
\(171\) −17.2939 + 4.19859i −1.32250 + 0.321074i
\(172\) 11.4530 + 8.32108i 0.873282 + 0.634476i
\(173\) 21.1259 4.49046i 1.60618 0.341403i 0.684394 0.729113i \(-0.260067\pi\)
0.921782 + 0.387709i \(0.126734\pi\)
\(174\) −0.560560 0.0507871i −0.0424959 0.00385016i
\(175\) 6.31886 6.24005i 0.477661 0.471703i
\(176\) 6.19992 10.7386i 0.467336 0.809450i
\(177\) −6.63549 + 15.4990i −0.498754 + 1.16498i
\(178\) 0.490268 4.66459i 0.0367472 0.349626i
\(179\) 15.0286 + 10.9189i 1.12329 + 0.816116i 0.984704 0.174235i \(-0.0557452\pi\)
0.138583 + 0.990351i \(0.455745\pi\)
\(180\) −9.80295 7.13104i −0.730668 0.531516i
\(181\) 1.04274 0.757596i 0.0775063 0.0563116i −0.548357 0.836244i \(-0.684747\pi\)
0.625864 + 0.779932i \(0.284747\pi\)
\(182\) 2.50248 + 4.33442i 0.185496 + 0.321288i
\(183\) 0.242120 + 16.8529i 0.0178980 + 1.24581i
\(184\) −4.48001 0.952255i −0.330271 0.0702012i
\(185\) −3.33703 + 9.33034i −0.245343 + 0.685980i
\(186\) −2.09186 + 0.250294i −0.153382 + 0.0183524i
\(187\) 0.580497 0.644707i 0.0424501 0.0471456i
\(188\) −0.276895 0.852196i −0.0201947 0.0621528i
\(189\) 9.21154 + 0.568360i 0.670041 + 0.0413421i
\(190\) −5.73186 + 1.04375i −0.415833 + 0.0757214i
\(191\) −1.03713 + 1.15185i −0.0750443 + 0.0833452i −0.779498 0.626405i \(-0.784526\pi\)
0.704453 + 0.709750i \(0.251192\pi\)
\(192\) 5.64832 + 3.15375i 0.407632 + 0.227602i
\(193\) −5.73764 + 9.93788i −0.413004 + 0.715344i −0.995217 0.0976925i \(-0.968854\pi\)
0.582212 + 0.813037i \(0.302187\pi\)
\(194\) −0.727968 6.92615i −0.0522650 0.497269i
\(195\) 21.7020 12.1007i 1.55411 0.866546i
\(196\) −0.726354 + 6.91080i −0.0518825 + 0.493629i
\(197\) 18.5783 + 13.4979i 1.32365 + 0.961687i 0.999879 + 0.0155518i \(0.00495048\pi\)
0.323770 + 0.946136i \(0.395050\pi\)
\(198\) −5.67148 + 0.162994i −0.403055 + 0.0115835i
\(199\) −4.17299 −0.295816 −0.147908 0.989001i \(-0.547254\pi\)
−0.147908 + 0.989001i \(0.547254\pi\)
\(200\) −6.46444 5.30231i −0.457105 0.374930i
\(201\) −0.245949 0.0222831i −0.0173479 0.00157173i
\(202\) −2.95835 3.28558i −0.208148 0.231172i
\(203\) −1.20048 + 0.534488i −0.0842572 + 0.0375137i
\(204\) 0.474646 + 0.415184i 0.0332319 + 0.0290687i
\(205\) −18.1950 21.4394i −1.27079 1.49739i
\(206\) 1.77299 1.28815i 0.123530 0.0897497i
\(207\) −2.76267 7.73872i −0.192019 0.537878i
\(208\) −14.9466 + 10.8594i −1.03636 + 0.752962i
\(209\) 17.0917 18.9823i 1.18226 1.31303i
\(210\) 2.99979 + 0.360713i 0.207005 + 0.0248915i
\(211\) 1.89620 + 2.10594i 0.130540 + 0.144979i 0.804871 0.593450i \(-0.202235\pi\)
−0.674331 + 0.738429i \(0.735568\pi\)
\(212\) −13.0960 2.78365i −0.899439 0.191182i
\(213\) 3.06843 2.84369i 0.210245 0.194847i
\(214\) −3.05070 + 0.648445i −0.208541 + 0.0443268i
\(215\) −2.34095 + 17.3602i −0.159652 + 1.18396i
\(216\) −0.374346 8.68076i −0.0254710 0.590651i
\(217\) −3.97928 + 2.89112i −0.270131 + 0.196262i
\(218\) 0.126381 + 0.218899i 0.00855962 + 0.0148257i
\(219\) 4.21287 + 2.35227i 0.284679 + 0.158951i
\(220\) 17.3918 + 0.510028i 1.17255 + 0.0343861i
\(221\) −1.18084 + 0.525742i −0.0794316 + 0.0353652i
\(222\) −3.19101 + 1.08774i −0.214166 + 0.0730045i
\(223\) 20.2866 4.31206i 1.35849 0.288757i 0.529640 0.848223i \(-0.322327\pi\)
0.828853 + 0.559466i \(0.188994\pi\)
\(224\) −8.18649 −0.546983
\(225\) 2.01325 14.8643i 0.134217 0.990952i
\(226\) 0.120491 0.00801494
\(227\) 1.31980 0.280531i 0.0875979 0.0186195i −0.163904 0.986476i \(-0.552409\pi\)
0.251502 + 0.967857i \(0.419075\pi\)
\(228\) 13.9751 + 12.2244i 0.925527 + 0.809579i
\(229\) 23.4640 10.4468i 1.55054 0.690346i 0.560119 0.828412i \(-0.310755\pi\)
0.990423 + 0.138066i \(0.0440886\pi\)
\(230\) −0.755932 2.58170i −0.0498447 0.170232i
\(231\) −11.3755 + 6.78740i −0.748456 + 0.446578i
\(232\) 0.618584 + 1.07142i 0.0406120 + 0.0703421i
\(233\) 12.2726 8.91660i 0.804008 0.584146i −0.108079 0.994142i \(-0.534470\pi\)
0.912087 + 0.409996i \(0.134470\pi\)
\(234\) 7.81842 + 3.21515i 0.511106 + 0.210181i
\(235\) 0.765745 0.801873i 0.0499517 0.0523084i
\(236\) 17.2056 3.65717i 1.11999 0.238062i
\(237\) 21.2953 + 6.58259i 1.38328 + 0.427585i
\(238\) −0.153740 0.0326785i −0.00996551 0.00211823i
\(239\) 9.37451 + 10.4114i 0.606387 + 0.673460i 0.965671 0.259768i \(-0.0836459\pi\)
−0.359285 + 0.933228i \(0.616979\pi\)
\(240\) −0.166752 + 11.1518i −0.0107638 + 0.719846i
\(241\) −15.0558 + 16.7211i −0.969827 + 1.07710i 0.0271676 + 0.999631i \(0.491351\pi\)
−0.996995 + 0.0774711i \(0.975315\pi\)
\(242\) 2.67966 1.94688i 0.172255 0.125150i
\(243\) 12.9058 8.74298i 0.827909 0.560862i
\(244\) 14.2264 10.3361i 0.910752 0.661700i
\(245\) −7.95424 + 3.26555i −0.508178 + 0.208628i
\(246\) 1.85443 9.38542i 0.118234 0.598392i
\(247\) −34.7677 + 15.4796i −2.21221 + 0.984941i
\(248\) 3.09857 + 3.44131i 0.196759 + 0.218523i
\(249\) 3.42754 4.86300i 0.217211 0.308180i
\(250\) 0.940308 4.81982i 0.0594703 0.304832i
\(251\) 0.464195 0.0292997 0.0146499 0.999893i \(-0.495337\pi\)
0.0146499 + 0.999893i \(0.495337\pi\)
\(252\) −5.05199 8.19708i −0.318245 0.516368i
\(253\) 9.54159 + 6.93237i 0.599875 + 0.435834i
\(254\) 0.113658 1.08138i 0.00713154 0.0678521i
\(255\) −0.173629 + 0.760747i −0.0108731 + 0.0476398i
\(256\) −0.282273 2.68565i −0.0176421 0.167853i
\(257\) −13.5014 + 23.3852i −0.842197 + 1.45873i 0.0458368 + 0.998949i \(0.485405\pi\)
−0.888034 + 0.459779i \(0.847929\pi\)
\(258\) −5.11799 + 3.05373i −0.318632 + 0.190117i
\(259\) −5.26668 + 5.84924i −0.327256 + 0.363454i
\(260\) −23.3634 11.2339i −1.44894 0.696696i
\(261\) −1.05411 + 1.95330i −0.0652479 + 0.120906i
\(262\) −0.156834 0.482684i −0.00968921 0.0298203i
\(263\) −5.71087 + 6.34256i −0.352147 + 0.391099i −0.893029 0.450000i \(-0.851424\pi\)
0.540881 + 0.841099i \(0.318091\pi\)
\(264\) 7.47455 + 9.98305i 0.460027 + 0.614414i
\(265\) −4.65540 15.8994i −0.285979 0.976692i
\(266\) −4.52662 0.962163i −0.277545 0.0589940i
\(267\) −16.1490 9.01684i −0.988304 0.551822i
\(268\) 0.128827 + 0.223135i 0.00786936 + 0.0136301i
\(269\) 0.950788 0.690788i 0.0579706 0.0421181i −0.558423 0.829557i \(-0.688593\pi\)
0.616393 + 0.787439i \(0.288593\pi\)
\(270\) 4.38404 2.61232i 0.266804 0.158981i
\(271\) 6.66331 + 4.84118i 0.404767 + 0.294081i 0.771480 0.636254i \(-0.219517\pi\)
−0.366713 + 0.930334i \(0.619517\pi\)
\(272\) 0.0606463 0.577011i 0.00367722 0.0349864i
\(273\) 19.5969 2.34480i 1.18606 0.141914i
\(274\) −1.85359 + 3.21051i −0.111979 + 0.193954i
\(275\) 9.65371 + 19.2440i 0.582141 + 1.16046i
\(276\) −4.93894 + 7.00739i −0.297289 + 0.421795i
\(277\) 9.21967 1.95970i 0.553956 0.117747i 0.0775761 0.996986i \(-0.475282\pi\)
0.476380 + 0.879239i \(0.341949\pi\)
\(278\) 1.23863 + 0.899921i 0.0742884 + 0.0539737i
\(279\) −2.33925 + 7.97180i −0.140047 + 0.477259i
\(280\) −3.15053 5.84622i −0.188280 0.349378i
\(281\) −13.7868 6.13830i −0.822454 0.366180i −0.0480290 0.998846i \(-0.515294\pi\)
−0.774425 + 0.632666i \(0.781961\pi\)
\(282\) 0.375689 + 0.0340377i 0.0223719 + 0.00202691i
\(283\) −2.43859 23.2016i −0.144959 1.37919i −0.789090 0.614278i \(-0.789448\pi\)
0.644131 0.764915i \(-0.277219\pi\)
\(284\) −4.26937 0.907482i −0.253340 0.0538491i
\(285\) −5.11221 + 22.3989i −0.302821 + 1.32680i
\(286\) −11.8685 + 2.52273i −0.701801 + 0.149172i
\(287\) −6.90208 21.2424i −0.407417 1.25390i
\(288\) −10.9486 + 8.44561i −0.645152 + 0.497663i
\(289\) −5.24075 + 16.1294i −0.308279 + 0.948786i
\(290\) −0.381612 + 0.618371i −0.0224090 + 0.0363120i
\(291\) −26.2383 8.11052i −1.53811 0.475447i
\(292\) −0.526207 5.00653i −0.0307939 0.292985i
\(293\) 4.27487 7.40429i 0.249740 0.432563i −0.713713 0.700438i \(-0.752988\pi\)
0.963454 + 0.267875i \(0.0863214\pi\)
\(294\) −2.55421 1.42615i −0.148965 0.0831748i
\(295\) 14.0837 + 16.5951i 0.819986 + 0.966203i
\(296\) 5.99498 + 4.35560i 0.348451 + 0.253164i
\(297\) −8.21137 + 20.8130i −0.476472 + 1.20770i
\(298\) 1.88631 5.80545i 0.109271 0.336301i
\(299\) −8.78625 15.2182i −0.508122 0.880093i
\(300\) −13.8861 + 7.21744i −0.801716 + 0.416699i
\(301\) −6.95711 + 12.0501i −0.401001 + 0.694554i
\(302\) 1.38178 + 1.53462i 0.0795125 + 0.0883076i
\(303\) −16.5022 + 5.62522i −0.948025 + 0.323161i
\(304\) 1.78562 16.9891i 0.102413 0.974391i
\(305\) 19.6101 + 9.42919i 1.12287 + 0.539914i
\(306\) −0.239325 + 0.114902i −0.0136813 + 0.00656853i
\(307\) 20.4968 1.16981 0.584907 0.811101i \(-0.301131\pi\)
0.584907 + 0.811101i \(0.301131\pi\)
\(308\) 12.6256 + 5.62127i 0.719409 + 0.320301i
\(309\) −1.91805 8.42661i −0.109114 0.479373i
\(310\) −0.915941 + 2.56097i −0.0520219 + 0.145453i
\(311\) 0.791719 + 0.879293i 0.0448943 + 0.0498601i 0.765174 0.643824i \(-0.222653\pi\)
−0.720279 + 0.693684i \(0.755986\pi\)
\(312\) −4.12398 18.1179i −0.233474 1.02573i
\(313\) 9.93394 11.0328i 0.561500 0.623609i −0.393818 0.919188i \(-0.628846\pi\)
0.955318 + 0.295580i \(0.0955128\pi\)
\(314\) −1.29121 + 3.97393i −0.0728672 + 0.224262i
\(315\) 5.96338 10.3149i 0.335998 0.581179i
\(316\) −7.18620 22.1168i −0.404255 1.24417i
\(317\) −0.319419 0.142214i −0.0179404 0.00798756i 0.397747 0.917495i \(-0.369792\pi\)
−0.415687 + 0.909508i \(0.636459\pi\)
\(318\) 3.24717 4.60710i 0.182092 0.258353i
\(319\) −0.333006 3.16834i −0.0186447 0.177393i
\(320\) 6.89759 4.70878i 0.385587 0.263229i
\(321\) −2.38402 + 12.0657i −0.133063 + 0.673441i
\(322\) 0.223353 2.12506i 0.0124470 0.118425i
\(323\) 0.369327 1.13667i 0.0205499 0.0632461i
\(324\) −15.2130 5.75085i −0.845169 0.319492i
\(325\) −1.47779 32.0440i −0.0819731 1.77748i
\(326\) 1.82274 + 3.15708i 0.100952 + 0.174854i
\(327\) 0.989691 0.118418i 0.0547300 0.00654853i
\(328\) −19.2102 + 8.55293i −1.06071 + 0.472256i
\(329\) 0.804565 0.358215i 0.0443571 0.0197491i
\(330\) −3.07901 + 6.64631i −0.169494 + 0.365868i
\(331\) −14.2383 6.33928i −0.782605 0.348438i −0.0237671 0.999718i \(-0.507566\pi\)
−0.758838 + 0.651279i \(0.774233\pi\)
\(332\) −6.20725 −0.340667
\(333\) −1.00926 + 13.2561i −0.0553069 + 0.726432i
\(334\) −1.93610 5.95871i −0.105939 0.326046i
\(335\) −0.167435 + 0.271314i −0.00914792 + 0.0148235i
\(336\) −3.48665 + 8.14402i −0.190212 + 0.444293i
\(337\) 20.5449 + 4.36696i 1.11915 + 0.237883i 0.730106 0.683334i \(-0.239471\pi\)
0.389047 + 0.921218i \(0.372804\pi\)
\(338\) 12.0983 + 2.57158i 0.658061 + 0.139875i
\(339\) 0.187004 0.436800i 0.0101567 0.0237237i
\(340\) 0.753115 0.309186i 0.0408434 0.0167679i
\(341\) −3.68486 11.3408i −0.199547 0.614141i
\(342\) −7.04650 + 3.38310i −0.381031 + 0.182937i
\(343\) −19.2628 −1.04009
\(344\) 11.9672 + 5.32814i 0.645228 + 0.287274i
\(345\) −10.5323 1.26647i −0.567041 0.0681844i
\(346\) 8.66620 3.85844i 0.465898 0.207431i
\(347\) 3.65328 1.62655i 0.196119 0.0873176i −0.306327 0.951926i \(-0.599100\pi\)
0.502446 + 0.864609i \(0.332434\pi\)
\(348\) 2.29933 0.275118i 0.123257 0.0147479i
\(349\) −1.07056 1.85427i −0.0573059 0.0992567i 0.835949 0.548807i \(-0.184918\pi\)
−0.893255 + 0.449550i \(0.851584\pi\)
\(350\) 2.14491 3.25793i 0.114650 0.174144i
\(351\) 23.7898 23.3531i 1.26981 1.24650i
\(352\) 6.13300 18.8754i 0.326890 1.00606i
\(353\) −1.18522 + 11.2766i −0.0630830 + 0.600194i 0.916623 + 0.399753i \(0.130904\pi\)
−0.979706 + 0.200441i \(0.935762\pi\)
\(354\) −1.43541 + 7.26474i −0.0762914 + 0.386117i
\(355\) −1.51768 5.18328i −0.0805503 0.275100i
\(356\) 2.01709 + 19.1913i 0.106905 + 1.01714i
\(357\) −0.357073 + 0.506617i −0.0188983 + 0.0268130i
\(358\) 7.45378 + 3.31864i 0.393945 + 0.175395i
\(359\) −7.26044 22.3453i −0.383191 1.17934i −0.937784 0.347219i \(-0.887126\pi\)
0.554593 0.832122i \(-0.312874\pi\)
\(360\) −10.2448 4.56846i −0.539947 0.240779i
\(361\) 5.00287 15.3973i 0.263309 0.810382i
\(362\) 0.378806 0.420706i 0.0199096 0.0221118i
\(363\) −2.89890 12.7358i −0.152153 0.668456i
\(364\) −13.7785 15.3026i −0.722190 0.802073i
\(365\) 5.14466 3.51211i 0.269284 0.183832i
\(366\) 1.64303 + 7.21836i 0.0858826 + 0.377310i
\(367\) −18.6193 8.28983i −0.971918 0.432726i −0.141544 0.989932i \(-0.545207\pi\)
−0.830374 + 0.557206i \(0.811873\pi\)
\(368\) 7.88758 0.411168
\(369\) −31.1456 21.2890i −1.62138 1.10826i
\(370\) −0.581630 + 4.31330i −0.0302375 + 0.224238i
\(371\) 1.37552 13.0872i 0.0714135 0.679454i
\(372\) 8.20426 2.79665i 0.425371 0.144999i
\(373\) −20.6426 22.9259i −1.06883 1.18706i −0.981616 0.190868i \(-0.938870\pi\)
−0.0872153 0.996189i \(-0.527797\pi\)
\(374\) 0.190522 0.329994i 0.00985167 0.0170636i
\(375\) −16.0133 10.8892i −0.826922 0.562317i
\(376\) −0.414576 0.718068i −0.0213801 0.0370315i
\(377\) −1.46680 + 4.51433i −0.0755439 + 0.232500i
\(378\) 4.00943 0.597015i 0.206223 0.0307071i
\(379\) −26.1852 19.0246i −1.34504 0.977230i −0.999242 0.0389217i \(-0.987608\pi\)
−0.345800 0.938308i \(-0.612392\pi\)
\(380\) 22.1742 9.10344i 1.13751 0.466997i
\(381\) −3.74380 2.09036i −0.191801 0.107092i
\(382\) −0.340393 + 0.589578i −0.0174160 + 0.0301654i
\(383\) 3.58734 + 34.1313i 0.183304 + 1.74403i 0.569844 + 0.821753i \(0.307004\pi\)
−0.386540 + 0.922273i \(0.626330\pi\)
\(384\) 17.9691 + 5.55444i 0.916984 + 0.283449i
\(385\) 1.28825 + 17.0527i 0.0656555 + 0.869084i
\(386\) −1.55752 + 4.79354i −0.0792754 + 0.243985i
\(387\) 3.12706 + 23.2930i 0.158958 + 1.18405i
\(388\) 8.85423 + 27.2505i 0.449505 + 1.38344i
\(389\) −4.03437 + 0.857531i −0.204550 + 0.0434785i −0.309047 0.951047i \(-0.600010\pi\)
0.104497 + 0.994525i \(0.466677\pi\)
\(390\) 8.21871 7.18059i 0.416170 0.363603i
\(391\) 0.539785 + 0.114735i 0.0272981 + 0.00580239i
\(392\) 0.672125 + 6.39484i 0.0339474 + 0.322988i
\(393\) −1.99322 0.180587i −0.100545 0.00910942i
\(394\) 9.21437 + 4.10250i 0.464213 + 0.206681i
\(395\) 19.8732 20.8108i 0.999929 1.04711i
\(396\) 22.6846 5.50734i 1.13994 0.276754i
\(397\) −15.7730 11.4597i −0.791622 0.575147i 0.116822 0.993153i \(-0.462729\pi\)
−0.908444 + 0.418006i \(0.862729\pi\)
\(398\) −1.79283 + 0.381078i −0.0898664 + 0.0191017i
\(399\) −10.5134 + 14.9165i −0.526329 + 0.746757i
\(400\) 12.7879 + 6.61717i 0.639396 + 0.330859i
\(401\) −10.5037 + 18.1930i −0.524530 + 0.908513i 0.475062 + 0.879953i \(0.342426\pi\)
−0.999592 + 0.0285608i \(0.990908\pi\)
\(402\) −0.107701 + 0.0128866i −0.00537164 + 0.000642725i
\(403\) −1.85714 + 17.6695i −0.0925106 + 0.880179i
\(404\) 14.7159 + 10.6917i 0.732143 + 0.531933i
\(405\) −2.66600 19.9472i −0.132474 0.991186i
\(406\) −0.466949 + 0.339258i −0.0231743 + 0.0168371i
\(407\) −9.54088 16.5253i −0.472924 0.819128i
\(408\) 0.509488 + 0.284474i 0.0252234 + 0.0140836i
\(409\) 6.64167 + 1.41173i 0.328409 + 0.0698055i 0.369166 0.929364i \(-0.379643\pi\)
−0.0407565 + 0.999169i \(0.512977\pi\)
\(410\) −9.77489 7.54938i −0.482747 0.372837i
\(411\) 8.76184 + 11.7024i 0.432189 + 0.577234i
\(412\) −6.03323 + 6.70058i −0.297236 + 0.330114i
\(413\) 5.34252 + 16.4426i 0.262888 + 0.809087i
\(414\) −1.89362 3.07248i −0.0930661 0.151004i
\(415\) −3.64376 6.76148i −0.178865 0.331908i
\(416\) −19.7866 + 21.9753i −0.970118 + 1.07743i
\(417\) 5.18475 3.09356i 0.253898 0.151492i
\(418\) 5.60960 9.71612i 0.274375 0.475231i
\(419\) 3.50641 + 33.3613i 0.171299 + 1.62980i 0.655745 + 0.754983i \(0.272355\pi\)
−0.484446 + 0.874821i \(0.660979\pi\)
\(420\) −12.3807 + 1.11439i −0.604118 + 0.0543766i
\(421\) 2.40764 22.9071i 0.117341 1.11643i −0.764416 0.644723i \(-0.776973\pi\)
0.881757 0.471703i \(-0.156361\pi\)
\(422\) 1.00697 + 0.731609i 0.0490187 + 0.0356142i
\(423\) 0.706468 1.30911i 0.0343497 0.0636510i
\(424\) −12.3890 −0.601663
\(425\) 0.778884 + 0.638862i 0.0377814 + 0.0309893i
\(426\) 1.05859 1.50194i 0.0512890 0.0727690i
\(427\) 11.5650 + 12.8442i 0.559670 + 0.621577i
\(428\) 11.7224 5.21914i 0.566622 0.252277i
\(429\) −9.27486 + 46.9408i −0.447795 + 2.26632i
\(430\) 0.579600 + 7.67219i 0.0279508 + 0.369986i
\(431\) −15.8922 + 11.5463i −0.765498 + 0.556167i −0.900592 0.434666i \(-0.856866\pi\)
0.135094 + 0.990833i \(0.456866\pi\)
\(432\) 3.73877 + 14.4888i 0.179881 + 0.697092i
\(433\) −1.24749 + 0.906354i −0.0599505 + 0.0435566i −0.617357 0.786683i \(-0.711797\pi\)
0.557406 + 0.830240i \(0.311797\pi\)
\(434\) −1.44559 + 1.60549i −0.0693904 + 0.0770659i
\(435\) 1.64943 + 2.34313i 0.0790841 + 0.112345i
\(436\) −0.695848 0.772817i −0.0333251 0.0370112i
\(437\) 15.8931 + 3.37817i 0.760268 + 0.161600i
\(438\) 2.02477 + 0.625877i 0.0967473 + 0.0299056i
\(439\) −3.38112 + 0.718679i −0.161372 + 0.0343007i −0.287889 0.957664i \(-0.592953\pi\)
0.126517 + 0.991964i \(0.459620\pi\)
\(440\) 15.8397 2.88435i 0.755130 0.137506i
\(441\) −9.13422 + 7.04604i −0.434963 + 0.335526i
\(442\) −0.459308 + 0.333707i −0.0218470 + 0.0158728i
\(443\) −11.4007 19.7467i −0.541666 0.938193i −0.998809 0.0487993i \(-0.984461\pi\)
0.457143 0.889393i \(-0.348873\pi\)
\(444\) 11.9113 7.10704i 0.565283 0.337285i
\(445\) −19.7208 + 13.4628i −0.934855 + 0.638199i
\(446\) 8.32190 3.70515i 0.394053 0.175444i
\(447\) −18.1182 15.8484i −0.856960 0.749602i
\(448\) 6.48881 1.37924i 0.306567 0.0651629i
\(449\) 19.8521 0.936876 0.468438 0.883496i \(-0.344817\pi\)
0.468438 + 0.883496i \(0.344817\pi\)
\(450\) −0.492458 6.56994i −0.0232147 0.309710i
\(451\) 54.1489 2.54977
\(452\) −0.484897 + 0.103068i −0.0228076 + 0.00484791i
\(453\) 7.70782 2.62742i 0.362145 0.123447i
\(454\) 0.541401 0.241047i 0.0254092 0.0113129i
\(455\) 8.58069 23.9916i 0.402269 1.12475i
\(456\) 15.0010 + 8.37585i 0.702486 + 0.392235i
\(457\) −3.84410 6.65818i −0.179820 0.311457i 0.761999 0.647578i \(-0.224218\pi\)
−0.941819 + 0.336122i \(0.890885\pi\)
\(458\) 9.12674 6.63097i 0.426465 0.309845i
\(459\) 0.0451040 + 1.04592i 0.00210528 + 0.0488195i
\(460\) 5.25052 + 9.74302i 0.244807 + 0.454271i
\(461\) −5.32282 + 1.13140i −0.247908 + 0.0526945i −0.330190 0.943915i \(-0.607113\pi\)
0.0822814 + 0.996609i \(0.473779\pi\)
\(462\) −4.26741 + 3.95486i −0.198538 + 0.183997i
\(463\) −5.77700 1.22794i −0.268480 0.0570672i 0.0717044 0.997426i \(-0.477156\pi\)
−0.340184 + 0.940359i \(0.610489\pi\)
\(464\) −1.42564 1.58333i −0.0661835 0.0735042i
\(465\) 7.86240 + 7.29512i 0.364610 + 0.338303i
\(466\) 4.45839 4.95155i 0.206531 0.229376i
\(467\) 19.9403 14.4875i 0.922727 0.670400i −0.0214742 0.999769i \(-0.506836\pi\)
0.944201 + 0.329369i \(0.106836\pi\)
\(468\) −34.2142 6.25099i −1.58155 0.288952i
\(469\) −0.204876 + 0.148851i −0.00946032 + 0.00687332i
\(470\) 0.255757 0.414434i 0.0117972 0.0191164i
\(471\) 12.4022 + 10.8485i 0.571463 + 0.499871i
\(472\) 14.8696 6.62035i 0.684427 0.304726i
\(473\) −22.5716 25.0683i −1.03784 1.15264i
\(474\) 9.75015 + 0.883372i 0.447839 + 0.0405746i
\(475\) 22.9329 + 18.8102i 1.05223 + 0.863070i
\(476\) 0.646657 0.0296395
\(477\) −11.6618 18.9218i −0.533959 0.866372i
\(478\) 4.97831 + 3.61696i 0.227703 + 0.165436i
\(479\) −1.66450 + 15.8366i −0.0760528 + 0.723594i 0.888352 + 0.459163i \(0.151851\pi\)
−0.964405 + 0.264431i \(0.914816\pi\)
\(480\) 3.45000 + 17.5147i 0.157470 + 0.799432i
\(481\) 2.97182 + 28.2750i 0.135504 + 1.28923i
\(482\) −4.94139 + 8.55873i −0.225074 + 0.389840i
\(483\) −7.35707 4.10784i −0.334758 0.186913i
\(484\) −9.11849 + 10.1271i −0.414477 + 0.460323i
\(485\) −24.4861 + 25.6413i −1.11186 + 1.16431i
\(486\) 4.74628 4.93478i 0.215296 0.223846i
\(487\) 9.80003 + 30.1614i 0.444082 + 1.36674i 0.883488 + 0.468454i \(0.155189\pi\)
−0.439406 + 0.898289i \(0.644811\pi\)
\(488\) 10.8880 12.0924i 0.492879 0.547397i
\(489\) 14.2739 1.70789i 0.645486 0.0772335i
\(490\) −3.11914 + 2.12935i −0.140908 + 0.0961942i
\(491\) 22.0949 + 4.69643i 0.997131 + 0.211947i 0.677442 0.735576i \(-0.263088\pi\)
0.319689 + 0.947523i \(0.396422\pi\)
\(492\) 0.565420 + 39.3564i 0.0254911 + 1.77433i
\(493\) −0.0745316 0.129093i −0.00335674 0.00581404i
\(494\) −13.5235 + 9.82542i −0.608452 + 0.442066i
\(495\) 19.3153 + 21.4771i 0.868159 + 0.965326i
\(496\) −6.45175 4.68747i −0.289692 0.210474i
\(497\) 0.448426 4.26649i 0.0201147 0.191378i
\(498\) 1.02847 2.40228i 0.0460869 0.107649i
\(499\) 9.74420 16.8775i 0.436210 0.755539i −0.561183 0.827692i \(-0.689654\pi\)
0.997394 + 0.0721531i \(0.0229870\pi\)
\(500\) 0.338751 + 20.2009i 0.0151494 + 0.903414i
\(501\) −24.6062 2.22934i −1.09932 0.0995995i
\(502\) 0.199431 0.0423903i 0.00890102 0.00189197i
\(503\) −14.7866 10.7431i −0.659301 0.479010i 0.207126 0.978314i \(-0.433589\pi\)
−0.866427 + 0.499304i \(0.833589\pi\)
\(504\) −6.14968 6.44739i −0.273929 0.287189i
\(505\) −3.00788 + 22.3061i −0.133849 + 0.992607i
\(506\) 4.73239 + 2.10699i 0.210380 + 0.0936673i
\(507\) 28.0992 39.8673i 1.24793 1.77057i
\(508\) 0.467618 + 4.44909i 0.0207472 + 0.197396i
\(509\) −22.0398 4.68470i −0.976895 0.207645i −0.308314 0.951285i \(-0.599765\pi\)
−0.668581 + 0.743639i \(0.733098\pi\)
\(510\) −0.00512424 + 0.342693i −0.000226905 + 0.0151747i
\(511\) 4.83976 1.02872i 0.214098 0.0455080i
\(512\) −7.07765 21.7828i −0.312791 0.962671i
\(513\) 1.32801 + 30.7954i 0.0586331 + 1.35965i
\(514\) −3.66505 + 11.2799i −0.161658 + 0.497533i
\(515\) −10.8405 2.63857i −0.477688 0.116269i
\(516\) 17.9844 16.6672i 0.791719 0.733732i
\(517\) 0.223181 + 2.12343i 0.00981550 + 0.0933883i
\(518\) −1.72855 + 2.99394i −0.0759483 + 0.131546i
\(519\) −0.537382 37.4048i −0.0235884 1.64189i
\(520\) −23.3080 5.67315i −1.02212 0.248784i
\(521\) −4.02702 2.92580i −0.176427 0.128182i 0.496067 0.868284i \(-0.334777\pi\)
−0.672494 + 0.740103i \(0.734777\pi\)
\(522\) −0.274499 + 0.935452i −0.0120145 + 0.0409436i
\(523\) −0.936421 + 2.88201i −0.0409468 + 0.126021i −0.969440 0.245327i \(-0.921105\pi\)
0.928493 + 0.371349i \(0.121105\pi\)
\(524\) 1.04404 + 1.80833i 0.0456091 + 0.0789973i
\(525\) −8.48160 12.8320i −0.370167 0.560036i
\(526\) −1.87434 + 3.24645i −0.0817251 + 0.141552i
\(527\) −0.373339 0.414635i −0.0162629 0.0180618i
\(528\) −16.1654 14.1403i −0.703510 0.615376i
\(529\) 1.61996 15.4129i 0.0704329 0.670124i
\(530\) −3.45202 6.40567i −0.149946 0.278245i
\(531\) 24.1081 + 16.4786i 1.04620 + 0.715112i
\(532\) 19.0397 0.825477
\(533\) −73.7039 32.8151i −3.19247 1.42138i
\(534\) −7.76147 2.39915i −0.335872 0.103821i
\(535\) 12.5664 + 9.70532i 0.543292 + 0.419598i
\(536\) 0.159532 + 0.177179i 0.00689075 + 0.00765296i
\(537\) 23.5990 21.8706i 1.01837 0.943787i
\(538\) 0.345401 0.383607i 0.0148913 0.0165385i
\(539\) 5.11666 15.7475i 0.220390 0.678291i
\(540\) −15.4083 + 14.2630i −0.663067 + 0.613782i
\(541\) −4.84376 14.9075i −0.208249 0.640925i −0.999564 0.0295168i \(-0.990603\pi\)
0.791315 0.611409i \(-0.209397\pi\)
\(542\) 3.30483 + 1.47141i 0.141955 + 0.0632023i
\(543\) −0.937217 2.02618i −0.0402198 0.0869517i
\(544\) −0.0970685 0.923545i −0.00416178 0.0395967i
\(545\) 0.433346 1.21164i 0.0185625 0.0519008i
\(546\) 8.20522 2.79698i 0.351151 0.119700i
\(547\) 0.797793 7.59049i 0.0341112 0.324546i −0.964138 0.265401i \(-0.914496\pi\)
0.998249 0.0591454i \(-0.0188376\pi\)
\(548\) 4.71321 14.5058i 0.201338 0.619656i
\(549\) 28.7178 + 5.24678i 1.22565 + 0.223927i
\(550\) 5.90486 + 7.38618i 0.251784 + 0.314948i
\(551\) −2.19446 3.80091i −0.0934870 0.161924i
\(552\) −3.12219 + 7.29272i −0.132889 + 0.310399i
\(553\) 20.8807 9.29668i 0.887937 0.395335i
\(554\) 3.78206 1.68388i 0.160684 0.0715412i
\(555\) 14.7337 + 8.80283i 0.625412 + 0.373659i
\(556\) −5.75449 2.56206i −0.244045 0.108656i
\(557\) 17.3196 0.733856 0.366928 0.930249i \(-0.380410\pi\)
0.366928 + 0.930249i \(0.380410\pi\)
\(558\) −0.277019 + 3.63852i −0.0117271 + 0.154031i
\(559\) 15.5311 + 47.8000i 0.656898 + 2.02172i
\(560\) 7.40036 + 8.71995i 0.312722 + 0.368485i
\(561\) −0.900590 1.20283i −0.0380230 0.0507836i
\(562\) −6.48374 1.37816i −0.273500 0.0581343i
\(563\) −25.2749 5.37236i −1.06521 0.226418i −0.358218 0.933638i \(-0.616616\pi\)
−0.706994 + 0.707220i \(0.749949\pi\)
\(564\) −1.54102 + 0.184385i −0.0648885 + 0.00776401i
\(565\) −0.396914 0.467690i −0.0166983 0.0196759i
\(566\) −3.16645 9.74534i −0.133096 0.409627i
\(567\) 4.05843 15.4614i 0.170438 0.649319i
\(568\) −4.03887 −0.169467
\(569\) −0.158490 0.0705645i −0.00664427 0.00295822i 0.403412 0.915019i \(-0.367824\pi\)
−0.410056 + 0.912060i \(0.634491\pi\)
\(570\) −0.150875 + 10.0900i −0.00631944 + 0.422624i
\(571\) −22.4784 + 10.0080i −0.940693 + 0.418824i −0.819032 0.573748i \(-0.805489\pi\)
−0.121661 + 0.992572i \(0.538822\pi\)
\(572\) 45.6051 20.3047i 1.90685 0.848982i
\(573\) 1.60902 + 2.14902i 0.0672179 + 0.0897765i
\(574\) −4.90518 8.49601i −0.204738 0.354617i
\(575\) −7.53082 + 11.4387i −0.314057 + 0.477025i
\(576\) 7.25521 8.53878i 0.302300 0.355782i
\(577\) −8.78272 + 27.0304i −0.365629 + 1.12529i 0.583957 + 0.811785i \(0.301504\pi\)
−0.949586 + 0.313506i \(0.898496\pi\)
\(578\) −0.778632 + 7.40819i −0.0323868 + 0.308140i
\(579\) 14.9601 + 13.0859i 0.621720 + 0.543832i
\(580\) 1.00678 2.81497i 0.0418044 0.116885i
\(581\) −0.637722 6.06752i −0.0264572 0.251723i
\(582\) −12.0133 1.08842i −0.497968 0.0451163i
\(583\) 29.1444 + 12.9759i 1.20704 + 0.537408i
\(584\) −1.43948 4.43027i −0.0595661 0.183326i
\(585\) −13.2752 40.9386i −0.548864 1.69260i
\(586\) 1.16044 3.57146i 0.0479373 0.147536i
\(587\) −8.62688 + 9.58112i −0.356070 + 0.395455i −0.894392 0.447284i \(-0.852392\pi\)
0.538323 + 0.842739i \(0.319058\pi\)
\(588\) 11.4990 + 3.55445i 0.474209 + 0.146583i
\(589\) −10.9923 12.2082i −0.452931 0.503031i
\(590\) 7.56621 + 5.84356i 0.311496 + 0.240576i
\(591\) 29.1731 27.0365i 1.20002 1.11213i
\(592\) −11.6581 5.19054i −0.479146 0.213330i
\(593\) 27.5686 1.13211 0.566053 0.824369i \(-0.308470\pi\)
0.566053 + 0.824369i \(0.308470\pi\)
\(594\) −1.62718 + 9.69170i −0.0667639 + 0.397655i
\(595\) 0.379599 + 0.704396i 0.0155621 + 0.0288774i
\(596\) −2.62516 + 24.9767i −0.107531 + 1.02309i
\(597\) −1.40104 + 7.09075i −0.0573406 + 0.290205i
\(598\) −5.16454 5.73580i −0.211194 0.234554i
\(599\) −23.0932 + 39.9986i −0.943563 + 1.63430i −0.184958 + 0.982746i \(0.559215\pi\)
−0.758604 + 0.651552i \(0.774118\pi\)
\(600\) −11.1800 + 9.20418i −0.456423 + 0.375759i
\(601\) −20.7102 35.8711i −0.844787 1.46321i −0.885806 0.464056i \(-0.846394\pi\)
0.0410187 0.999158i \(-0.486940\pi\)
\(602\) −1.88855 + 5.81235i −0.0769714 + 0.236894i
\(603\) −0.120438 + 0.410435i −0.00490462 + 0.0167142i
\(604\) −6.87348 4.99388i −0.279678 0.203198i
\(605\) −16.3841 3.98787i −0.666107 0.162130i
\(606\) −6.57608 + 3.92372i −0.267135 + 0.159390i
\(607\) −8.40346 + 14.5552i −0.341086 + 0.590778i −0.984635 0.174627i \(-0.944128\pi\)
0.643549 + 0.765405i \(0.277461\pi\)
\(608\) −2.85802 27.1922i −0.115908 1.10279i
\(609\) 0.505154 + 2.21930i 0.0204699 + 0.0899307i
\(610\) 9.28611 + 2.26024i 0.375984 + 0.0915143i
\(611\) 0.983051 3.02552i 0.0397700 0.122399i
\(612\) 0.864837 0.667125i 0.0349590 0.0269669i
\(613\) −6.05434 18.6333i −0.244532 0.752593i −0.995713 0.0924965i \(-0.970515\pi\)
0.751181 0.660097i \(-0.229485\pi\)
\(614\) 8.80597 1.87177i 0.355380 0.0755383i
\(615\) −42.5386 + 23.7188i −1.71532 + 0.956436i
\(616\) 12.5091 + 2.65889i 0.504007 + 0.107130i
\(617\) 0.681066 + 6.47991i 0.0274187 + 0.260871i 0.999641 + 0.0268101i \(0.00853495\pi\)
−0.972222 + 0.234061i \(0.924798\pi\)
\(618\) −1.59356 3.44514i −0.0641026 0.138584i
\(619\) 34.1346 + 15.1977i 1.37199 + 0.610848i 0.954603 0.297882i \(-0.0962801\pi\)
0.417385 + 0.908730i \(0.362947\pi\)
\(620\) 1.49540 11.0897i 0.0600568 0.445374i
\(621\) −14.0772 + 2.09613i −0.564897 + 0.0841148i
\(622\) 0.420441 + 0.305468i 0.0168581 + 0.0122482i
\(623\) −18.5521 + 3.94336i −0.743273 + 0.157987i
\(624\) 13.4341 + 29.0433i 0.537793 + 1.16266i
\(625\) −21.8058 + 12.2273i −0.872232 + 0.489092i
\(626\) 3.26038 5.64714i 0.130311 0.225705i
\(627\) −26.5163 35.4154i −1.05896 1.41435i
\(628\) 1.79697 17.0970i 0.0717067 0.682244i
\(629\) −0.722320 0.524796i −0.0288008 0.0209250i
\(630\) 1.62007 4.97613i 0.0645451 0.198254i
\(631\) 10.2656 7.45836i 0.408665 0.296913i −0.364396 0.931244i \(-0.618725\pi\)
0.773061 + 0.634331i \(0.218725\pi\)
\(632\) −10.7594 18.6358i −0.427986 0.741294i
\(633\) 4.21505 2.51498i 0.167533 0.0999613i
\(634\) −0.150218 0.0319298i −0.00596592 0.00126809i
\(635\) −4.57184 + 3.12106i −0.181428 + 0.123856i
\(636\) −9.12682 + 21.3182i −0.361902 + 0.845321i
\(637\) −16.5076 + 18.3336i −0.654057 + 0.726404i
\(638\) −0.432401 1.33079i −0.0171189 0.0526866i
\(639\) −3.80181 6.16861i −0.150397 0.244026i
\(640\) 16.7692 17.5603i 0.662859 0.694133i
\(641\) 5.72176 6.35466i 0.225996 0.250994i −0.619474 0.785017i \(-0.712654\pi\)
0.845470 + 0.534024i \(0.179321\pi\)
\(642\) 0.0776007 + 5.40145i 0.00306266 + 0.213178i
\(643\) 4.36268 7.55638i 0.172047 0.297994i −0.767088 0.641542i \(-0.778295\pi\)
0.939135 + 0.343547i \(0.111629\pi\)
\(644\) 0.918932 + 8.74305i 0.0362110 + 0.344524i
\(645\) 28.7125 + 9.80625i 1.13055 + 0.386121i
\(646\) 0.0548719 0.522071i 0.00215891 0.0205406i
\(647\) −0.0235532 0.0171124i −0.000925971 0.000672757i 0.587322 0.809353i \(-0.300182\pi\)
−0.588248 + 0.808680i \(0.700182\pi\)
\(648\) −14.8760 2.27838i −0.584385 0.0895032i
\(649\) −41.9137 −1.64526
\(650\) −3.56116 13.6320i −0.139680 0.534691i
\(651\) 3.57658 + 7.73225i 0.140177 + 0.303051i
\(652\) −10.0359 11.1460i −0.393036 0.436511i
\(653\) 15.7626 7.01797i 0.616839 0.274634i −0.0744367 0.997226i \(-0.523716\pi\)
0.691275 + 0.722591i \(0.257049\pi\)
\(654\) 0.414384 0.141254i 0.0162037 0.00552347i
\(655\) −1.35692 + 2.19878i −0.0530194 + 0.0859136i
\(656\) 29.2973 21.2858i 1.14387 0.831069i
\(657\) 5.41140 6.36876i 0.211119 0.248469i
\(658\) 0.312950 0.227372i 0.0122001 0.00886387i
\(659\) −25.1350 + 27.9153i −0.979122 + 1.08743i 0.0170360 + 0.999855i \(0.494577\pi\)
−0.996158 + 0.0875707i \(0.972090\pi\)
\(660\) 6.70573 29.3809i 0.261020 1.14365i
\(661\) 33.5406 + 37.2506i 1.30458 + 1.44888i 0.817969 + 0.575263i \(0.195100\pi\)
0.486610 + 0.873619i \(0.338233\pi\)
\(662\) −6.69604 1.42329i −0.260249 0.0553176i
\(663\) 0.496888 + 2.18299i 0.0192975 + 0.0847802i
\(664\) −5.61830 + 1.19421i −0.218032 + 0.0463442i
\(665\) 11.1767 + 20.7397i 0.433412 + 0.804253i
\(666\) 0.776946 + 5.78735i 0.0301061 + 0.224255i
\(667\) 1.63947 1.19114i 0.0634804 0.0461212i
\(668\) 12.8886 + 22.3237i 0.498676 + 0.863732i
\(669\) −0.516032 35.9188i −0.0199510 1.38870i
\(670\) −0.0471580 + 0.131854i −0.00182187 + 0.00509396i
\(671\) −38.2787 + 17.0428i −1.47773 + 0.657930i
\(672\) −2.74853 + 13.9105i −0.106027 + 0.536609i
\(673\) 4.67811 0.994364i 0.180328 0.0383299i −0.116862 0.993148i \(-0.537284\pi\)
0.297191 + 0.954818i \(0.403950\pi\)
\(674\) 9.22544 0.355351
\(675\) −24.5814 8.41144i −0.946140 0.323756i
\(676\) −50.8875 −1.95721
\(677\) 26.6936 5.67390i 1.02592 0.218066i 0.335930 0.941887i \(-0.390949\pi\)
0.689988 + 0.723821i \(0.257616\pi\)
\(678\) 0.0404535 0.204738i 0.00155361 0.00786292i
\(679\) −25.7274 + 11.4546i −0.987327 + 0.439587i
\(680\) 0.622175 0.424741i 0.0238593 0.0162881i
\(681\) −0.0335717 2.33678i −0.00128647 0.0895456i
\(682\) −2.61876 4.53583i −0.100278 0.173686i
\(683\) −3.32056 + 2.41252i −0.127058 + 0.0923127i −0.649499 0.760362i \(-0.725021\pi\)
0.522441 + 0.852675i \(0.325021\pi\)
\(684\) 25.4636 19.6424i 0.973627 0.751045i
\(685\) 18.5677 3.38110i 0.709435 0.129185i
\(686\) −8.27581 + 1.75908i −0.315972 + 0.0671619i
\(687\) −9.87348 43.3774i −0.376697 1.65495i
\(688\) −22.0666 4.69041i −0.841282 0.178820i
\(689\) −31.8058 35.3239i −1.21170 1.34573i
\(690\) −4.64062 + 0.417702i −0.176665 + 0.0159016i
\(691\) 12.5662 13.9562i 0.478042 0.530920i −0.455094 0.890444i \(-0.650394\pi\)
0.933136 + 0.359524i \(0.117061\pi\)
\(692\) −31.5753 + 22.9408i −1.20031 + 0.872077i
\(693\) 7.71393 + 21.6081i 0.293028 + 0.820824i
\(694\) 1.42101 1.03243i 0.0539409 0.0391903i
\(695\) −0.587161 7.77227i −0.0222723 0.294819i
\(696\) 2.02824 0.691380i 0.0768801 0.0262067i
\(697\) 2.31459 1.03052i 0.0876713 0.0390338i
\(698\) −0.629274 0.698880i −0.0238184 0.0264530i
\(699\) −11.0307 23.8473i −0.417218 0.901989i
\(700\) −5.84502 + 14.9458i −0.220921 + 0.564898i
\(701\) 22.5412 0.851368 0.425684 0.904872i \(-0.360033\pi\)
0.425684 + 0.904872i \(0.360033\pi\)
\(702\) 8.08813 12.2056i 0.305267 0.460671i
\(703\) −21.2675 15.4517i −0.802118 0.582773i
\(704\) −1.68108 + 15.9944i −0.0633579 + 0.602810i
\(705\) −1.10545 1.57037i −0.0416337 0.0591437i
\(706\) 0.520579 + 4.95298i 0.0195922 + 0.186408i
\(707\) −8.93915 + 15.4831i −0.336192 + 0.582301i
\(708\) −0.437661 30.4637i −0.0164483 1.14489i
\(709\) −9.97932 + 11.0832i −0.374781 + 0.416237i −0.900799 0.434237i \(-0.857018\pi\)
0.526017 + 0.850474i \(0.323685\pi\)
\(710\) −1.12537 2.08828i −0.0422346 0.0783718i
\(711\) 18.3348 33.9749i 0.687609 1.27416i
\(712\) 5.51790 + 16.9823i 0.206792 + 0.636440i
\(713\) 5.07549 5.63690i 0.190078 0.211104i
\(714\) −0.107144 + 0.250264i −0.00400976 + 0.00936590i
\(715\) 48.8887 + 37.7579i 1.82833 + 1.41207i
\(716\) −32.8354 6.97937i −1.22712 0.260831i
\(717\) 20.8385 12.4336i 0.778229 0.464343i
\(718\) −5.15985 8.93713i −0.192564 0.333531i
\(719\) −35.1450 + 25.5343i −1.31069 + 0.952270i −0.310689 + 0.950512i \(0.600560\pi\)
−0.999998 + 0.00175887i \(0.999440\pi\)
\(720\) 18.8932 + 4.02744i 0.704107 + 0.150094i
\(721\) −7.16959 5.20901i −0.267009 0.193994i
\(722\) 0.743291 7.07194i 0.0276624 0.263190i
\(723\) 23.3577 + 31.1967i 0.868683 + 1.16022i
\(724\) −1.16457 + 2.01710i −0.0432810 + 0.0749649i
\(725\) 3.65731 0.555760i 0.135829 0.0206404i
\(726\) −2.40848 5.20691i −0.0893870 0.193247i
\(727\) 15.5641 3.30825i 0.577241 0.122696i 0.0899657 0.995945i \(-0.471324\pi\)
0.487275 + 0.873249i \(0.337991\pi\)
\(728\) −15.4152 11.1998i −0.571326 0.415093i
\(729\) −10.5231 24.8649i −0.389744 0.920923i
\(730\) 1.88956 1.97871i 0.0699356 0.0732352i
\(731\) −1.44190 0.641974i −0.0533305 0.0237443i
\(732\) −12.7867 27.6437i −0.472611 1.02174i
\(733\) 1.63644 + 15.5697i 0.0604433 + 0.575080i 0.982269 + 0.187476i \(0.0600306\pi\)
−0.921826 + 0.387604i \(0.873303\pi\)
\(734\) −8.75636 1.86122i −0.323203 0.0686990i
\(735\) 2.87828 + 14.6122i 0.106167 + 0.538979i
\(736\) 12.3487 2.62480i 0.455180 0.0967516i
\(737\) −0.189718 0.583893i −0.00698836 0.0215080i
\(738\) −15.3251 6.30210i −0.564124 0.231984i
\(739\) −11.5329 + 35.4945i −0.424243 + 1.30569i 0.479473 + 0.877556i \(0.340828\pi\)
−0.903717 + 0.428131i \(0.859172\pi\)
\(740\) −1.34892 17.8557i −0.0495873 0.656390i
\(741\) 14.6300 + 64.2743i 0.537447 + 2.36118i
\(742\) −0.604163 5.74823i −0.0221795 0.211024i
\(743\) 5.72347 9.91334i 0.209974 0.363685i −0.741732 0.670696i \(-0.765995\pi\)
0.951706 + 0.307011i \(0.0993288\pi\)
\(744\) 6.88779 4.10971i 0.252518 0.150669i
\(745\) −28.7478 + 11.8022i −1.05324 + 0.432400i
\(746\) −10.9622 7.96449i −0.401354 0.291601i
\(747\) −7.11245 7.45677i −0.260231 0.272829i
\(748\) −0.484450 + 1.49098i −0.0177132 + 0.0545158i
\(749\) 6.30599 + 10.9223i 0.230416 + 0.399092i
\(750\) −7.87413 3.21597i −0.287523 0.117431i
\(751\) 12.6924 21.9839i 0.463152 0.802203i −0.535964 0.844241i \(-0.680052\pi\)
0.999116 + 0.0420379i \(0.0133850\pi\)
\(752\) 0.955465 + 1.06115i 0.0348422 + 0.0386962i
\(753\) 0.155848 0.788760i 0.00567943 0.0287440i
\(754\) −0.217926 + 2.07343i −0.00793639 + 0.0755097i
\(755\) 1.40492 10.4187i 0.0511301 0.379175i
\(756\) −15.6246 + 5.83226i −0.568262 + 0.212117i
\(757\) −15.8030 −0.574370 −0.287185 0.957875i \(-0.592719\pi\)
−0.287185 + 0.957875i \(0.592719\pi\)
\(758\) −12.9872 5.78226i −0.471716 0.210021i
\(759\) 14.9830 13.8856i 0.543847 0.504015i
\(760\) 18.3189 12.5058i 0.664495 0.453632i
\(761\) −27.7983 30.8732i −1.00769 1.11915i −0.992863 0.119262i \(-0.961947\pi\)
−0.0148259 0.999890i \(-0.504719\pi\)
\(762\) −1.79933 0.556191i −0.0651828 0.0201487i
\(763\) 0.683930 0.759582i 0.0247599 0.0274987i
\(764\) 0.865533 2.66384i 0.0313139 0.0963742i
\(765\) 1.23437 + 0.550443i 0.0446286 + 0.0199013i
\(766\) 4.65808 + 14.3361i 0.168303 + 0.517984i
\(767\) 57.0502 + 25.4004i 2.05996 + 0.917154i
\(768\) −4.65822 0.422038i −0.168089 0.0152290i
\(769\) −2.57264 24.4770i −0.0927717 0.882664i −0.937621 0.347659i \(-0.886977\pi\)
0.844849 0.535005i \(-0.179690\pi\)
\(770\) 2.11072 + 7.20864i 0.0760650 + 0.259781i
\(771\) 35.2031 + 30.7930i 1.26781 + 1.10898i
\(772\) 2.16758 20.6232i 0.0780130 0.742244i
\(773\) −17.0063 + 52.3400i −0.611674 + 1.88254i −0.169747 + 0.985488i \(0.554295\pi\)
−0.441927 + 0.897051i \(0.645705\pi\)
\(774\) 3.47059 + 9.72174i 0.124748 + 0.349441i
\(775\) 12.9577 4.88094i 0.465456 0.175329i
\(776\) 13.2568 + 22.9615i 0.475892 + 0.824270i
\(777\) 8.17080 + 10.9130i 0.293126 + 0.391500i
\(778\) −1.65496 + 0.736836i −0.0593333 + 0.0264169i
\(779\) 68.1491 30.3419i 2.44169 1.08711i
\(780\) −26.9326 + 35.9275i −0.964343 + 1.28641i
\(781\) 9.50121 + 4.23021i 0.339980 + 0.151369i
\(782\) 0.242384 0.00866763
\(783\) 2.96514 + 2.44695i 0.105965 + 0.0874467i
\(784\) −3.42190 10.5315i −0.122211 0.376126i
\(785\) 19.6784 8.07882i 0.702352 0.288345i
\(786\) −0.872832 + 0.104436i −0.0311329 + 0.00372510i
\(787\) −34.8320 7.40376i −1.24163 0.263916i −0.460144 0.887844i \(-0.652202\pi\)
−0.781481 + 0.623929i \(0.785536\pi\)
\(788\) −40.5911 8.62790i −1.44600 0.307356i
\(789\) 8.85992 + 11.8334i 0.315422 + 0.421279i
\(790\) 6.63761 10.7557i 0.236156 0.382671i
\(791\) −0.150565 0.463393i −0.00535349 0.0164763i
\(792\) 19.4727 9.34906i 0.691932 0.332204i
\(793\) 62.4306 2.21698
\(794\) −7.82298 3.48302i −0.277627 0.123608i
\(795\) −28.5792 + 2.57242i −1.01360 + 0.0912342i
\(796\) 6.88899 3.06717i 0.244174 0.108713i
\(797\) 19.7375 8.78769i 0.699137 0.311276i −0.0262126 0.999656i \(-0.508345\pi\)
0.725350 + 0.688380i \(0.241678\pi\)
\(798\) −3.15467 + 7.36860i −0.111674 + 0.260845i
\(799\) 0.0499513 + 0.0865182i 0.00176715 + 0.00306079i
\(800\) 22.2227 + 6.10427i 0.785691 + 0.215818i
\(801\) −20.7433 + 24.4131i −0.732928 + 0.862595i
\(802\) −2.85129 + 8.77538i −0.100683 + 0.309870i
\(803\) −1.25385 + 11.9296i −0.0442475 + 0.420987i
\(804\) 0.422403 0.143988i 0.0148970 0.00507805i
\(805\) −8.98427 + 6.13331i −0.316654 + 0.216171i
\(806\) 0.815701 + 7.76087i 0.0287318 + 0.273365i
\(807\) −0.854570 1.84750i −0.0300823 0.0650352i
\(808\) 15.3766 + 6.84610i 0.540947 + 0.240845i
\(809\) −5.39556 16.6058i −0.189698 0.583830i 0.810300 0.586016i \(-0.199304\pi\)
−0.999998 + 0.00218564i \(0.999304\pi\)
\(810\) −2.96696 8.32641i −0.104249 0.292560i
\(811\) 6.07813 18.7066i 0.213432 0.656876i −0.785829 0.618444i \(-0.787764\pi\)
0.999261 0.0384326i \(-0.0122365\pi\)
\(812\) 1.58896 1.76472i 0.0557616 0.0619296i
\(813\) 10.4633 9.69693i 0.366963 0.340086i
\(814\) −5.60811 6.22843i −0.196564 0.218306i
\(815\) 6.24995 17.4749i 0.218926 0.612118i
\(816\) −0.960095 0.296775i −0.0336100 0.0103892i
\(817\) −42.4542 18.9018i −1.48529 0.661292i
\(818\) 2.98236 0.104276
\(819\) 2.59516 34.0863i 0.0906822 1.19107i
\(820\) 45.7953 + 22.0199i 1.59924 + 0.768967i
\(821\) 3.29630 31.3622i 0.115042 1.09455i −0.772879 0.634553i \(-0.781184\pi\)
0.887921 0.459996i \(-0.152149\pi\)
\(822\) 4.83298 + 4.22751i 0.168569 + 0.147451i
\(823\) 16.3827 + 18.1948i 0.571064 + 0.634230i 0.957620 0.288036i \(-0.0930021\pi\)
−0.386556 + 0.922266i \(0.626335\pi\)
\(824\) −4.17167 + 7.22555i −0.145327 + 0.251714i
\(825\) 35.9406 9.94260i 1.25129 0.346157i
\(826\) 3.79683 + 6.57630i 0.132109 + 0.228819i
\(827\) −14.6947 + 45.2257i −0.510985 + 1.57265i 0.279484 + 0.960150i \(0.409836\pi\)
−0.790470 + 0.612501i \(0.790164\pi\)
\(828\) 10.2488 + 10.7449i 0.356169 + 0.373411i
\(829\) −26.8175 19.4840i −0.931409 0.676708i 0.0149285 0.999889i \(-0.495248\pi\)
−0.946337 + 0.323180i \(0.895248\pi\)
\(830\) −2.18292 2.57216i −0.0757701 0.0892811i
\(831\) −0.234521 16.3240i −0.00813545 0.566274i
\(832\) 11.9810 20.7517i 0.415366 0.719436i
\(833\) −0.0809827 0.770498i −0.00280588 0.0266962i
\(834\) 1.94500 1.80255i 0.0673499 0.0624172i
\(835\) −16.7511 + 27.1439i −0.579697 + 0.939352i
\(836\) −14.2638 + 43.8995i −0.493324 + 1.51829i
\(837\) 12.7603 + 6.65129i 0.441060 + 0.229902i
\(838\) 4.55300 + 14.0127i 0.157281 + 0.484060i
\(839\) 53.9961 11.4772i 1.86415 0.396238i 0.869020 0.494777i \(-0.164750\pi\)
0.995133 + 0.0985388i \(0.0314169\pi\)
\(840\) −10.9916 + 3.39057i −0.379248 + 0.116986i
\(841\) 27.8308 + 5.91563i 0.959684 + 0.203987i
\(842\) −1.05749 10.0614i −0.0364437 0.346738i
\(843\) −15.0590 + 21.3657i −0.518658 + 0.735875i
\(844\) −4.67823 2.08288i −0.161031 0.0716957i
\(845\) −29.8719 55.4312i −1.02762 1.90689i
\(846\) 0.183970 0.626942i 0.00632502 0.0215547i
\(847\) −10.8360 7.87279i −0.372328 0.270512i
\(848\) 20.8694 4.43593i 0.716658 0.152330i
\(849\) −40.2429 3.64604i −1.38113 0.125132i
\(850\) 0.392970 + 0.203344i 0.0134788 + 0.00697465i
\(851\) 6.06899 10.5118i 0.208042 0.360340i
\(852\) −2.97539 + 6.94983i −0.101935 + 0.238097i
\(853\) −1.64733 + 15.6733i −0.0564036 + 0.536644i 0.929440 + 0.368974i \(0.120291\pi\)
−0.985843 + 0.167670i \(0.946376\pi\)
\(854\) 6.14158 + 4.46212i 0.210160 + 0.152690i
\(855\) 36.3438 + 16.2068i 1.24293 + 0.554262i
\(856\) 9.60604 6.97920i 0.328328 0.238544i
\(857\) −14.8902 25.7906i −0.508640 0.880990i −0.999950 0.0100052i \(-0.996815\pi\)
0.491310 0.870985i \(-0.336518\pi\)
\(858\) 0.301900 + 21.0140i 0.0103067 + 0.717406i
\(859\) 1.52513 + 0.324175i 0.0520366 + 0.0110607i 0.233856 0.972271i \(-0.424865\pi\)
−0.181820 + 0.983332i \(0.558199\pi\)
\(860\) −8.89531 30.3798i −0.303328 1.03594i
\(861\) −38.4124 + 4.59610i −1.30909 + 0.156635i
\(862\) −5.77328 + 6.41188i −0.196639 + 0.218390i
\(863\) −2.62898 8.09117i −0.0894915 0.275427i 0.896287 0.443474i \(-0.146254\pi\)
−0.985779 + 0.168047i \(0.946254\pi\)
\(864\) 10.6749 + 21.4394i 0.363168 + 0.729382i
\(865\) −43.5244 20.9279i −1.47987 0.711571i
\(866\) −0.453186 + 0.503314i −0.0153999 + 0.0171033i
\(867\) 25.6475 + 14.3203i 0.871034 + 0.486344i
\(868\) 4.44421 7.69760i 0.150846 0.261273i
\(869\) 5.79217 + 55.1088i 0.196486 + 1.86944i
\(870\) 0.922614 + 0.856047i 0.0312795 + 0.0290227i
\(871\) −0.0956162 + 0.909728i −0.00323983 + 0.0308249i
\(872\) −0.778507 0.565618i −0.0263636 0.0191543i
\(873\) −22.5906 + 41.8611i −0.764576 + 1.41678i
\(874\) 7.13657 0.241398
\(875\) −19.7114 + 2.40654i −0.666367 + 0.0813558i
\(876\) −8.68375 0.786755i −0.293397 0.0265820i
\(877\) 8.51710 + 9.45919i 0.287602 + 0.319414i 0.869582 0.493789i \(-0.164388\pi\)
−0.581980 + 0.813203i \(0.697722\pi\)
\(878\) −1.38699 + 0.617527i −0.0468086 + 0.0208405i
\(879\) −11.1461 9.74976i −0.375949 0.328851i
\(880\) −25.6495 + 10.5302i −0.864643 + 0.354973i
\(881\) 3.42753 2.49025i 0.115477 0.0838986i −0.528548 0.848903i \(-0.677263\pi\)
0.644025 + 0.765005i \(0.277263\pi\)
\(882\) −3.28086 + 3.86130i −0.110472 + 0.130017i
\(883\) 27.7814 20.1844i 0.934919 0.679258i −0.0122733 0.999925i \(-0.503907\pi\)
0.947192 + 0.320666i \(0.103907\pi\)
\(884\) 1.56296 1.73584i 0.0525680 0.0583827i
\(885\) 32.9268 18.3595i 1.10682 0.617146i
\(886\) −6.70133 7.44258i −0.225136 0.250038i
\(887\) 27.4913 + 5.84345i 0.923067 + 0.196204i 0.644845 0.764313i \(-0.276922\pi\)
0.278221 + 0.960517i \(0.410255\pi\)
\(888\) 9.41379 8.72431i 0.315906 0.292769i
\(889\) −4.30089 + 0.914183i −0.144247 + 0.0306607i
\(890\) −7.24316 + 7.58489i −0.242791 + 0.254246i
\(891\) 32.6086 + 20.9405i 1.09243 + 0.701534i
\(892\) −30.3208 + 22.0294i −1.01522 + 0.737598i
\(893\) 1.47073 + 2.54738i 0.0492161 + 0.0852448i
\(894\) −9.23132 5.15433i −0.308742 0.172387i
\(895\) −11.6724 39.8642i −0.390165 1.33251i
\(896\) 17.6193 7.84461i 0.588619 0.262070i
\(897\) −28.8087 + 9.82024i −0.961894 + 0.327888i
\(898\) 8.52897 1.81289i 0.284615 0.0604969i
\(899\) −2.04890 −0.0683347
\(900\) 7.60175 + 26.0185i 0.253392 + 0.867282i
\(901\) 1.49272 0.0497297
\(902\) 23.2638 4.94488i 0.774601 0.164647i
\(903\) 18.1397 + 15.8672i 0.603651 + 0.528027i
\(904\) −0.419060 + 0.186578i −0.0139377 + 0.00620548i
\(905\) −2.88083 0.0844826i −0.0957619 0.00280830i
\(906\) 3.07155 1.83269i 0.102045 0.0608870i
\(907\) 20.9176 + 36.2304i 0.694558 + 1.20301i 0.970329 + 0.241787i \(0.0777334\pi\)
−0.275771 + 0.961223i \(0.588933\pi\)
\(908\) −1.97259 + 1.43317i −0.0654628 + 0.0475615i
\(909\) 4.01795 + 29.9291i 0.133267 + 0.992685i
\(910\) 1.49558 11.0910i 0.0495780 0.367664i
\(911\) −13.2848 + 2.82377i −0.440144 + 0.0935556i −0.422653 0.906291i \(-0.638901\pi\)
−0.0174911 + 0.999847i \(0.505568\pi\)
\(912\) −28.2683 8.73803i −0.936058 0.289345i
\(913\) 14.4675 + 3.07516i 0.478804 + 0.101773i
\(914\) −2.25955 2.50949i −0.0747394 0.0830065i
\(915\) 22.6060 30.1558i 0.747330 0.996920i
\(916\) −31.0570 + 34.4923i −1.02615 + 1.13966i
\(917\) −1.66036 + 1.20632i −0.0548300 + 0.0398363i
\(918\) 0.114892 + 0.445237i 0.00379199 + 0.0146950i
\(919\) −17.5681 + 12.7639i −0.579517 + 0.421044i −0.838550 0.544825i \(-0.816596\pi\)
0.259033 + 0.965868i \(0.416596\pi\)
\(920\) 6.62679 + 7.80846i 0.218479 + 0.257437i
\(921\) 6.88157 34.8281i 0.226755 1.14763i
\(922\) −2.18351 + 0.972159i −0.0719099 + 0.0320164i
\(923\) −10.3688 11.5158i −0.341295 0.379046i
\(924\) 13.7905 19.5661i 0.453676 0.643677i
\(925\) 18.6582 11.9510i 0.613478 0.392946i
\(926\) −2.59409 −0.0852471
\(927\) −14.9625 + 0.430010i −0.491432 + 0.0141234i
\(928\) −2.75886 2.00443i −0.0905640 0.0657986i
\(929\) −1.29341 + 12.3060i −0.0424353 + 0.403745i 0.952600 + 0.304225i \(0.0983975\pi\)
−0.995036 + 0.0995202i \(0.968269\pi\)
\(930\) 4.04409 + 2.41618i 0.132611 + 0.0792298i
\(931\) −2.38440 22.6860i −0.0781454 0.743504i
\(932\) −13.7066 + 23.7404i −0.448973 + 0.777644i
\(933\) 1.75991 1.05008i 0.0576167 0.0343779i
\(934\) 7.24389 8.04516i 0.237027 0.263246i
\(935\) −1.90849 + 0.347528i −0.0624144 + 0.0113654i
\(936\) −32.1706 + 0.924558i −1.05153 + 0.0302201i
\(937\) 10.4055 + 32.0249i 0.339934 + 1.04621i 0.964241 + 0.265029i \(0.0853815\pi\)
−0.624307 + 0.781179i \(0.714619\pi\)
\(938\) −0.0744273 + 0.0826599i −0.00243014 + 0.00269894i
\(939\) −15.4117 20.5839i −0.502940 0.671730i
\(940\) −0.674749 + 1.88660i −0.0220079 + 0.0615341i
\(941\) 6.56245 + 1.39489i 0.213930 + 0.0454722i 0.313630 0.949545i \(-0.398455\pi\)
−0.0996999 + 0.995018i \(0.531788\pi\)
\(942\) 6.31900 + 3.52823i 0.205884 + 0.114956i
\(943\) 17.2222 + 29.8297i 0.560831 + 0.971388i
\(944\) −22.6775 + 16.4761i −0.738089 + 0.536253i
\(945\) −15.5249 13.5961i −0.505026 0.442281i
\(946\) −11.9866 8.70876i −0.389718 0.283146i
\(947\) −5.03469 + 47.9018i −0.163605 + 1.55660i 0.537328 + 0.843373i \(0.319434\pi\)
−0.700933 + 0.713227i \(0.747233\pi\)
\(948\) −39.9936 + 4.78530i −1.29893 + 0.155419i
\(949\) 8.93619 15.4779i 0.290081 0.502435i
\(950\) 11.5703 + 5.98713i 0.375391 + 0.194248i
\(951\) −0.348892 + 0.495010i −0.0113136 + 0.0160518i
\(952\) 0.585302 0.124410i 0.0189697 0.00403214i
\(953\) −0.957332 0.695542i −0.0310110 0.0225308i 0.572172 0.820134i \(-0.306101\pi\)
−0.603183 + 0.797603i \(0.706101\pi\)
\(954\) −6.73818 7.06437i −0.218157 0.228717i
\(955\) 3.40977 0.620904i 0.110338 0.0200920i
\(956\) −23.1284 10.2974i −0.748026 0.333043i
\(957\) −5.49544 0.497891i −0.177642 0.0160945i
\(958\) 0.731088 + 6.95584i 0.0236204 + 0.224733i
\(959\) 14.6635 + 3.11681i 0.473508 + 0.100647i
\(960\) −5.68538 13.3013i −0.183495 0.429298i
\(961\) 22.8211 4.85077i 0.736164 0.156477i
\(962\) 3.85885 + 11.8763i 0.124414 + 0.382908i
\(963\) 19.7016 + 8.10184i 0.634875 + 0.261078i
\(964\) 12.5647 38.6702i 0.404682 1.24548i
\(965\) 23.7370 9.74504i 0.764120 0.313704i
\(966\) −3.53592 1.09299i −0.113766 0.0351663i
\(967\) 2.40981 + 22.9278i 0.0774943 + 0.737309i 0.962418 + 0.271573i \(0.0875438\pi\)
−0.884924 + 0.465736i \(0.845789\pi\)
\(968\) −6.30498 + 10.9205i −0.202650 + 0.350999i
\(969\) −1.80743 1.00919i −0.0580632 0.0324197i
\(970\) −8.17831 + 13.2523i −0.262590 + 0.425505i
\(971\) 5.11486 + 3.71616i 0.164144 + 0.119257i 0.666825 0.745215i \(-0.267653\pi\)
−0.502681 + 0.864472i \(0.667653\pi\)
\(972\) −14.8795 + 23.9192i −0.477259 + 0.767209i
\(973\) 1.91318 5.88817i 0.0613338 0.188766i
\(974\) 6.96469 + 12.0632i 0.223163 + 0.386530i
\(975\) −54.9453 8.24735i −1.75966 0.264127i
\(976\) −14.0113 + 24.2683i −0.448490 + 0.776808i
\(977\) 22.8910 + 25.4230i 0.732348 + 0.813355i 0.988169 0.153369i \(-0.0490124\pi\)
−0.255821 + 0.966724i \(0.582346\pi\)
\(978\) 5.97647 2.03724i 0.191106 0.0651439i
\(979\) 4.80634 45.7293i 0.153611 1.46151i
\(980\) 10.7311 11.2374i 0.342791 0.358964i
\(981\) 0.131062 1.72144i 0.00418448 0.0549613i
\(982\) 9.92146 0.316606
\(983\) 48.5545 + 21.6178i 1.54865 + 0.689502i 0.990151 0.140005i \(-0.0447118\pi\)
0.558496 + 0.829507i \(0.311378\pi\)
\(984\) 8.08352 + 35.5135i 0.257693 + 1.13213i
\(985\) −14.4294 49.2801i −0.459759 1.57019i
\(986\) −0.0438095 0.0486554i −0.00139518 0.00154950i
\(987\) −0.338556 1.48738i −0.0107763 0.0473439i
\(988\) 46.0187 51.1089i 1.46405 1.62599i
\(989\) 6.63073 20.4073i 0.210845 0.648914i
\(990\) 10.2597 + 7.46328i 0.326074 + 0.237199i
\(991\) −13.5962 41.8449i −0.431899 1.32925i −0.896232 0.443586i \(-0.853706\pi\)
0.464333 0.885661i \(-0.346294\pi\)
\(992\) −11.6607 5.19167i −0.370227 0.164836i
\(993\) −15.5520 + 22.0653i −0.493529 + 0.700221i
\(994\) −0.196960 1.87395i −0.00624719 0.0594381i
\(995\) 7.38499 + 5.70361i 0.234120 + 0.180817i
\(996\) −2.08401 + 10.5474i −0.0660345 + 0.334206i
\(997\) −1.43885 + 13.6897i −0.0455687 + 0.433558i 0.947824 + 0.318794i \(0.103278\pi\)
−0.993393 + 0.114764i \(0.963389\pi\)
\(998\) 2.64512 8.14084i 0.0837298 0.257694i
\(999\) 22.1860 + 6.16553i 0.701933 + 0.195069i
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 225.2.q.a.121.18 yes 224
3.2 odd 2 675.2.r.a.496.11 224
9.2 odd 6 675.2.r.a.46.18 224
9.7 even 3 inner 225.2.q.a.196.11 yes 224
25.6 even 5 inner 225.2.q.a.31.11 224
75.56 odd 10 675.2.r.a.631.18 224
225.56 odd 30 675.2.r.a.181.11 224
225.106 even 15 inner 225.2.q.a.106.18 yes 224
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
225.2.q.a.31.11 224 25.6 even 5 inner
225.2.q.a.106.18 yes 224 225.106 even 15 inner
225.2.q.a.121.18 yes 224 1.1 even 1 trivial
225.2.q.a.196.11 yes 224 9.7 even 3 inner
675.2.r.a.46.18 224 9.2 odd 6
675.2.r.a.181.11 224 225.56 odd 30
675.2.r.a.496.11 224 3.2 odd 2
675.2.r.a.631.18 224 75.56 odd 10