Properties

Label 441.2.z.a.142.28
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 142.28
Character \(\chi\) \(=\) 441.142
Dual form 441.2.z.a.382.28

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-0.0500119 + 0.127428i) q^{2} +(-1.68249 + 0.411374i) q^{3} +(1.45237 + 1.34760i) q^{4} +(2.28191 - 1.09891i) q^{5} +(0.0317238 - 0.234970i) q^{6} +(2.44165 + 1.01898i) q^{7} +(-0.491027 + 0.236466i) q^{8} +(2.66154 - 1.38427i) q^{9} +O(q^{10})\) \(q+(-0.0500119 + 0.127428i) q^{2} +(-1.68249 + 0.411374i) q^{3} +(1.45237 + 1.34760i) q^{4} +(2.28191 - 1.09891i) q^{5} +(0.0317238 - 0.234970i) q^{6} +(2.44165 + 1.01898i) q^{7} +(-0.491027 + 0.236466i) q^{8} +(2.66154 - 1.38427i) q^{9} +(0.0259095 + 0.345738i) q^{10} +(-2.32040 - 2.90969i) q^{11} +(-2.99796 - 1.66986i) q^{12} +(0.926851 - 2.36158i) q^{13} +(-0.251959 + 0.260174i) q^{14} +(-3.38723 + 2.78762i) q^{15} +(0.290544 + 3.87704i) q^{16} +(3.88904 - 3.60850i) q^{17} +(0.0432858 + 0.408385i) q^{18} +(-2.59441 + 4.49365i) q^{19} +(4.79506 + 1.47908i) q^{20} +(-4.52724 - 0.709997i) q^{21} +(0.486824 - 0.150165i) q^{22} +(-0.816262 + 3.57628i) q^{23} +(0.728871 - 0.599848i) q^{24} +(0.882060 - 1.10607i) q^{25} +(0.254578 + 0.236214i) q^{26} +(-3.90857 + 3.42390i) q^{27} +(2.17299 + 4.77031i) q^{28} +(2.55754 + 0.788897i) q^{29} +(-0.185820 - 0.571042i) q^{30} +(5.40358 - 9.35927i) q^{31} +(-1.55015 - 0.478157i) q^{32} +(5.10101 + 3.94096i) q^{33} +(0.265327 + 0.676041i) q^{34} +(6.69140 - 0.357926i) q^{35} +(5.73097 + 1.57623i) q^{36} +(5.32328 + 1.64201i) q^{37} +(-0.442866 - 0.555337i) q^{38} +(-0.587925 + 4.35461i) q^{39} +(-0.860624 + 1.07919i) q^{40} +(2.77400 + 1.89128i) q^{41} +(0.316890 - 0.541390i) q^{42} +(-8.66353 + 5.90670i) q^{43} +(0.551024 - 7.35290i) q^{44} +(4.55222 - 6.08356i) q^{45} +(-0.414896 - 0.282871i) q^{46} +(-1.12862 + 2.87567i) q^{47} +(-2.08375 - 6.40357i) q^{48} +(4.92334 + 4.97601i) q^{49} +(0.0968308 + 0.167716i) q^{50} +(-5.05882 + 7.67111i) q^{51} +(4.52859 - 2.18085i) q^{52} +(-12.3945 + 3.82321i) q^{53} +(-0.240827 - 0.669297i) q^{54} +(-8.49242 - 4.08973i) q^{55} +(-1.43987 + 0.0770194i) q^{56} +(2.51650 - 8.62779i) q^{57} +(-0.228435 + 0.286449i) q^{58} +(6.38326 - 4.35203i) q^{59} +(-8.67610 - 0.515972i) q^{60} +(-6.13921 + 5.69636i) q^{61} +(0.922392 + 1.15664i) q^{62} +(7.90911 - 0.667827i) q^{63} +(-4.70970 + 5.90577i) q^{64} +(-0.480171 - 6.40744i) q^{65} +(-0.757301 + 0.452918i) q^{66} +(-4.21238 + 7.29605i) q^{67} +10.5111 q^{68} +(-0.0978365 - 6.35284i) q^{69} +(-0.289040 + 0.870574i) q^{70} +(2.21106 - 9.68730i) q^{71} +(-0.979557 + 1.30908i) q^{72} +(-8.46720 - 1.27622i) q^{73} +(-0.475466 + 0.596216i) q^{74} +(-1.02905 + 2.22380i) q^{75} +(-9.82368 + 3.03020i) q^{76} +(-2.70068 - 9.46889i) q^{77} +(-0.525498 - 0.292701i) q^{78} +(-0.0538543 - 0.0932784i) q^{79} +(4.92352 + 8.52778i) q^{80} +(5.16761 - 7.36857i) q^{81} +(-0.379736 + 0.258899i) q^{82} +(-4.62232 - 11.7775i) q^{83} +(-5.61842 - 7.13208i) q^{84} +(4.90902 - 12.5080i) q^{85} +(-0.319400 - 1.39938i) q^{86} +(-4.62757 - 0.275204i) q^{87} +(1.82742 + 0.880039i) q^{88} +(-4.55638 - 11.6095i) q^{89} +(0.547553 + 0.884331i) q^{90} +(4.66946 - 4.82171i) q^{91} +(-6.00490 + 4.09407i) q^{92} +(-5.24130 + 17.9698i) q^{93} +(-0.309997 - 0.287636i) q^{94} +(-0.982093 + 13.1051i) q^{95} +(2.80481 + 0.166804i) q^{96} +(7.56187 - 13.0975i) q^{97} +(-0.880310 + 0.378513i) q^{98} +(-10.2036 - 4.53221i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.0500119 + 0.127428i −0.0353637 + 0.0901054i −0.947465 0.319860i \(-0.896364\pi\)
0.912101 + 0.409966i \(0.134459\pi\)
\(3\) −1.68249 + 0.411374i −0.971386 + 0.237507i
\(4\) 1.45237 + 1.34760i 0.726183 + 0.673800i
\(5\) 2.28191 1.09891i 1.02050 0.491447i 0.152654 0.988280i \(-0.451218\pi\)
0.867847 + 0.496832i \(0.165504\pi\)
\(6\) 0.0317238 0.234970i 0.0129512 0.0959262i
\(7\) 2.44165 + 1.01898i 0.922858 + 0.385140i
\(8\) −0.491027 + 0.236466i −0.173604 + 0.0836034i
\(9\) 2.66154 1.38427i 0.887181 0.461422i
\(10\) 0.0259095 + 0.345738i 0.00819330 + 0.109332i
\(11\) −2.32040 2.90969i −0.699626 0.877303i 0.297369 0.954763i \(-0.403891\pi\)
−0.996996 + 0.0774591i \(0.975319\pi\)
\(12\) −2.99796 1.66986i −0.865437 0.482046i
\(13\) 0.926851 2.36158i 0.257062 0.654984i −0.742833 0.669477i \(-0.766518\pi\)
0.999895 + 0.0144931i \(0.00461344\pi\)
\(14\) −0.251959 + 0.260174i −0.0673389 + 0.0695345i
\(15\) −3.38723 + 2.78762i −0.874578 + 0.719761i
\(16\) 0.290544 + 3.87704i 0.0726361 + 0.969261i
\(17\) 3.88904 3.60850i 0.943230 0.875190i −0.0491013 0.998794i \(-0.515636\pi\)
0.992332 + 0.123604i \(0.0394453\pi\)
\(18\) 0.0432858 + 0.408385i 0.0102026 + 0.0962573i
\(19\) −2.59441 + 4.49365i −0.595198 + 1.03091i 0.398320 + 0.917246i \(0.369593\pi\)
−0.993519 + 0.113668i \(0.963740\pi\)
\(20\) 4.79506 + 1.47908i 1.07221 + 0.330732i
\(21\) −4.52724 0.709997i −0.987925 0.154934i
\(22\) 0.486824 0.150165i 0.103791 0.0320153i
\(23\) −0.816262 + 3.57628i −0.170202 + 0.745705i 0.815713 + 0.578457i \(0.196345\pi\)
−0.985915 + 0.167248i \(0.946512\pi\)
\(24\) 0.728871 0.599848i 0.148780 0.122443i
\(25\) 0.882060 1.10607i 0.176412 0.221214i
\(26\) 0.254578 + 0.236214i 0.0499269 + 0.0463254i
\(27\) −3.90857 + 3.42390i −0.752204 + 0.658931i
\(28\) 2.17299 + 4.77031i 0.410657 + 0.901504i
\(29\) 2.55754 + 0.788897i 0.474923 + 0.146494i 0.522971 0.852351i \(-0.324824\pi\)
−0.0480475 + 0.998845i \(0.515300\pi\)
\(30\) −0.185820 0.571042i −0.0339260 0.104258i
\(31\) 5.40358 9.35927i 0.970511 1.68097i 0.276494 0.961016i \(-0.410827\pi\)
0.694017 0.719959i \(-0.255839\pi\)
\(32\) −1.55015 0.478157i −0.274030 0.0845270i
\(33\) 5.10101 + 3.94096i 0.887973 + 0.686034i
\(34\) 0.265327 + 0.676041i 0.0455031 + 0.115940i
\(35\) 6.69140 0.357926i 1.13105 0.0605005i
\(36\) 5.73097 + 1.57623i 0.955162 + 0.262705i
\(37\) 5.32328 + 1.64201i 0.875142 + 0.269945i 0.699607 0.714528i \(-0.253358\pi\)
0.175535 + 0.984473i \(0.443835\pi\)
\(38\) −0.442866 0.555337i −0.0718424 0.0900875i
\(39\) −0.587925 + 4.35461i −0.0941433 + 0.697296i
\(40\) −0.860624 + 1.07919i −0.136077 + 0.170635i
\(41\) 2.77400 + 1.89128i 0.433226 + 0.295368i 0.760229 0.649655i \(-0.225086\pi\)
−0.327003 + 0.945023i \(0.606039\pi\)
\(42\) 0.316890 0.541390i 0.0488971 0.0835383i
\(43\) −8.66353 + 5.90670i −1.32118 + 0.900763i −0.998946 0.0458986i \(-0.985385\pi\)
−0.322230 + 0.946661i \(0.604433\pi\)
\(44\) 0.551024 7.35290i 0.0830699 1.10849i
\(45\) 4.55222 6.08356i 0.678604 0.906884i
\(46\) −0.414896 0.282871i −0.0611730 0.0417071i
\(47\) −1.12862 + 2.87567i −0.164626 + 0.419460i −0.989252 0.146218i \(-0.953290\pi\)
0.824627 + 0.565677i \(0.191385\pi\)
\(48\) −2.08375 6.40357i −0.300764 0.924275i
\(49\) 4.92334 + 4.97601i 0.703334 + 0.710859i
\(50\) 0.0968308 + 0.167716i 0.0136939 + 0.0237186i
\(51\) −5.05882 + 7.67111i −0.708377 + 1.07417i
\(52\) 4.52859 2.18085i 0.628003 0.302430i
\(53\) −12.3945 + 3.82321i −1.70252 + 0.525158i −0.985174 0.171558i \(-0.945120\pi\)
−0.717347 + 0.696716i \(0.754644\pi\)
\(54\) −0.240827 0.669297i −0.0327724 0.0910798i
\(55\) −8.49242 4.08973i −1.14512 0.551460i
\(56\) −1.43987 + 0.0770194i −0.192411 + 0.0102921i
\(57\) 2.51650 8.62779i 0.333318 1.14278i
\(58\) −0.228435 + 0.286449i −0.0299950 + 0.0376125i
\(59\) 6.38326 4.35203i 0.831030 0.566586i −0.0713880 0.997449i \(-0.522743\pi\)
0.902418 + 0.430862i \(0.141790\pi\)
\(60\) −8.67610 0.515972i −1.12008 0.0666117i
\(61\) −6.13921 + 5.69636i −0.786046 + 0.729344i −0.967174 0.254116i \(-0.918216\pi\)
0.181128 + 0.983460i \(0.442025\pi\)
\(62\) 0.922392 + 1.15664i 0.117144 + 0.146894i
\(63\) 7.90911 0.667827i 0.996454 0.0841383i
\(64\) −4.70970 + 5.90577i −0.588712 + 0.738221i
\(65\) −0.480171 6.40744i −0.0595579 0.794745i
\(66\) −0.757301 + 0.452918i −0.0932174 + 0.0557504i
\(67\) −4.21238 + 7.29605i −0.514624 + 0.891354i 0.485232 + 0.874385i \(0.338735\pi\)
−0.999856 + 0.0169692i \(0.994598\pi\)
\(68\) 10.5111 1.27466
\(69\) −0.0978365 6.35284i −0.0117781 0.764792i
\(70\) −0.289040 + 0.870574i −0.0345469 + 0.104054i
\(71\) 2.21106 9.68730i 0.262405 1.14967i −0.656229 0.754561i \(-0.727850\pi\)
0.918634 0.395109i \(-0.129293\pi\)
\(72\) −0.979557 + 1.30908i −0.115442 + 0.154276i
\(73\) −8.46720 1.27622i −0.991011 0.149371i −0.366526 0.930408i \(-0.619453\pi\)
−0.624485 + 0.781037i \(0.714691\pi\)
\(74\) −0.475466 + 0.596216i −0.0552718 + 0.0693087i
\(75\) −1.02905 + 2.22380i −0.118824 + 0.256783i
\(76\) −9.82368 + 3.03020i −1.12685 + 0.347588i
\(77\) −2.70068 9.46889i −0.307771 1.07908i
\(78\) −0.525498 0.292701i −0.0595009 0.0331418i
\(79\) −0.0538543 0.0932784i −0.00605909 0.0104946i 0.862980 0.505238i \(-0.168595\pi\)
−0.869039 + 0.494743i \(0.835262\pi\)
\(80\) 4.92352 + 8.52778i 0.550466 + 0.953435i
\(81\) 5.16761 7.36857i 0.574179 0.818730i
\(82\) −0.379736 + 0.258899i −0.0419348 + 0.0285906i
\(83\) −4.62232 11.7775i −0.507365 1.29275i −0.923555 0.383467i \(-0.874730\pi\)
0.416189 0.909278i \(-0.363365\pi\)
\(84\) −5.61842 7.13208i −0.613020 0.778174i
\(85\) 4.90902 12.5080i 0.532458 1.35668i
\(86\) −0.319400 1.39938i −0.0344418 0.150899i
\(87\) −4.62757 0.275204i −0.496127 0.0295050i
\(88\) 1.82742 + 0.880039i 0.194804 + 0.0938125i
\(89\) −4.55638 11.6095i −0.482975 1.23060i −0.940009 0.341151i \(-0.889183\pi\)
0.457034 0.889449i \(-0.348912\pi\)
\(90\) 0.547553 + 0.884331i 0.0577171 + 0.0932167i
\(91\) 4.66946 4.82171i 0.489493 0.505452i
\(92\) −6.00490 + 4.09407i −0.626054 + 0.426836i
\(93\) −5.24130 + 17.9698i −0.543497 + 1.86338i
\(94\) −0.309997 0.287636i −0.0319738 0.0296673i
\(95\) −0.982093 + 13.1051i −0.100761 + 1.34456i
\(96\) 2.80481 + 0.166804i 0.286265 + 0.0170243i
\(97\) 7.56187 13.0975i 0.767791 1.32985i −0.170967 0.985277i \(-0.554689\pi\)
0.938758 0.344577i \(-0.111978\pi\)
\(98\) −0.880310 + 0.378513i −0.0889248 + 0.0382356i
\(99\) −10.2036 4.53221i −1.02550 0.455504i
\(100\) 2.77161 0.417753i 0.277161 0.0417753i
\(101\) −7.02243 + 3.38182i −0.698758 + 0.336504i −0.749312 0.662217i \(-0.769616\pi\)
0.0505541 + 0.998721i \(0.483901\pi\)
\(102\) −0.724515 1.02828i −0.0717377 0.101815i
\(103\) −7.02665 + 3.38386i −0.692357 + 0.333421i −0.746756 0.665098i \(-0.768390\pi\)
0.0543995 + 0.998519i \(0.482676\pi\)
\(104\) 0.103324 + 1.37877i 0.0101318 + 0.135199i
\(105\) −11.1110 + 3.35488i −1.08432 + 0.327403i
\(106\) 0.132690 1.77062i 0.0128880 0.171978i
\(107\) 0.768511 + 1.95813i 0.0742947 + 0.189300i 0.963197 0.268798i \(-0.0866263\pi\)
−0.888902 + 0.458098i \(0.848531\pi\)
\(108\) −10.2907 0.294417i −0.990225 0.0283303i
\(109\) 1.86451 4.75071i 0.178588 0.455035i −0.813347 0.581778i \(-0.802357\pi\)
0.991936 + 0.126743i \(0.0404524\pi\)
\(110\) 0.945869 0.877639i 0.0901851 0.0836796i
\(111\) −9.63184 0.572811i −0.914214 0.0543688i
\(112\) −3.24124 + 9.76246i −0.306268 + 0.922466i
\(113\) −9.91233 1.49404i −0.932474 0.140548i −0.334802 0.942289i \(-0.608669\pi\)
−0.597672 + 0.801741i \(0.703908\pi\)
\(114\) 0.973569 + 0.752165i 0.0911831 + 0.0704467i
\(115\) 2.06737 + 9.05774i 0.192783 + 0.844638i
\(116\) 2.65137 + 4.59231i 0.246173 + 0.426385i
\(117\) −0.802199 7.56845i −0.0741633 0.699703i
\(118\) 0.235333 + 1.03106i 0.0216642 + 0.0949168i
\(119\) 13.1727 4.84784i 1.20754 0.444400i
\(120\) 1.00404 2.16976i 0.0916559 0.198071i
\(121\) −0.634300 + 2.77905i −0.0576636 + 0.252641i
\(122\) −0.418843 1.06719i −0.0379203 0.0966193i
\(123\) −5.44525 2.04091i −0.490982 0.184023i
\(124\) 20.4605 6.31124i 1.83741 0.566766i
\(125\) −2.02061 + 8.85289i −0.180729 + 0.791826i
\(126\) −0.310449 + 1.04124i −0.0276570 + 0.0927613i
\(127\) −0.0260888 0.114303i −0.00231501 0.0101427i 0.973757 0.227589i \(-0.0730844\pi\)
−0.976072 + 0.217447i \(0.930227\pi\)
\(128\) −2.13924 3.70527i −0.189084 0.327503i
\(129\) 12.1464 13.5019i 1.06943 1.18878i
\(130\) 0.840502 + 0.259261i 0.0737169 + 0.0227387i
\(131\) 13.1662 + 6.34049i 1.15033 + 0.553971i 0.909134 0.416505i \(-0.136745\pi\)
0.241199 + 0.970476i \(0.422459\pi\)
\(132\) 2.09770 + 12.5979i 0.182582 + 1.09650i
\(133\) −10.9136 + 8.32827i −0.946330 + 0.722153i
\(134\) −0.719054 0.901665i −0.0621168 0.0778920i
\(135\) −5.15643 + 12.1082i −0.443795 + 1.04211i
\(136\) −1.05633 + 2.69150i −0.0905799 + 0.230794i
\(137\) −10.2729 4.94719i −0.877676 0.422667i −0.0599011 0.998204i \(-0.519079\pi\)
−0.817775 + 0.575538i \(0.804793\pi\)
\(138\) 0.814423 + 0.305250i 0.0693283 + 0.0259846i
\(139\) 4.83850 + 3.29883i 0.410396 + 0.279803i 0.750869 0.660451i \(-0.229635\pi\)
−0.340473 + 0.940254i \(0.610587\pi\)
\(140\) 10.2007 + 8.49749i 0.862118 + 0.718169i
\(141\) 0.715911 5.30257i 0.0602905 0.446557i
\(142\) 1.12386 + 0.766232i 0.0943119 + 0.0643007i
\(143\) −9.02212 + 2.78295i −0.754467 + 0.232722i
\(144\) 6.14016 + 9.91673i 0.511680 + 0.826394i
\(145\) 6.70300 1.01031i 0.556654 0.0839021i
\(146\) 0.586088 1.01513i 0.0485050 0.0840130i
\(147\) −10.3305 6.34676i −0.852043 0.523472i
\(148\) 5.51858 + 9.55845i 0.453624 + 0.785700i
\(149\) 9.08159 + 11.3880i 0.743993 + 0.932938i 0.999426 0.0338889i \(-0.0107892\pi\)
−0.255432 + 0.966827i \(0.582218\pi\)
\(150\) −0.231911 0.242346i −0.0189354 0.0197875i
\(151\) 3.03051 13.2775i 0.246619 1.08051i −0.688237 0.725486i \(-0.741615\pi\)
0.934857 0.355025i \(-0.115528\pi\)
\(152\) 0.211329 2.81999i 0.0171411 0.228732i
\(153\) 5.35572 14.9876i 0.432984 1.21168i
\(154\) 1.34167 + 0.129414i 0.108115 + 0.0104285i
\(155\) 2.04548 27.2950i 0.164297 2.19239i
\(156\) −6.72216 + 5.53221i −0.538203 + 0.442931i
\(157\) 8.45139 5.76206i 0.674495 0.459863i −0.177010 0.984209i \(-0.556643\pi\)
0.851505 + 0.524346i \(0.175690\pi\)
\(158\) 0.0145797 0.00219753i 0.00115990 0.000174826i
\(159\) 19.2809 11.5313i 1.52908 0.914492i
\(160\) −4.06275 + 0.612361i −0.321188 + 0.0484114i
\(161\) −5.63720 + 7.90027i −0.444273 + 0.622628i
\(162\) 0.680521 + 1.02702i 0.0534668 + 0.0806900i
\(163\) 4.31608 2.94265i 0.338062 0.230486i −0.382375 0.924007i \(-0.624894\pi\)
0.720437 + 0.693521i \(0.243941\pi\)
\(164\) 1.48018 + 6.48508i 0.115582 + 0.506399i
\(165\) 15.9708 + 3.38737i 1.24333 + 0.263706i
\(166\) 1.73195 0.134426
\(167\) −14.1903 + 13.1666i −1.09807 + 1.01886i −0.0983559 + 0.995151i \(0.531358\pi\)
−0.999719 + 0.0237131i \(0.992451\pi\)
\(168\) 2.39089 0.721911i 0.184461 0.0556966i
\(169\) 4.81167 + 4.46458i 0.370129 + 0.343429i
\(170\) 1.34836 + 1.25109i 0.103414 + 0.0959546i
\(171\) −0.684725 + 15.5514i −0.0523622 + 1.18924i
\(172\) −20.5425 3.09628i −1.56635 0.236089i
\(173\) 8.80281 2.71531i 0.669266 0.206441i 0.0585420 0.998285i \(-0.481355\pi\)
0.610724 + 0.791844i \(0.290879\pi\)
\(174\) 0.266502 0.575919i 0.0202035 0.0436603i
\(175\) 3.28075 1.80183i 0.248001 0.136205i
\(176\) 10.6068 9.84168i 0.799518 0.741844i
\(177\) −8.94945 + 9.94816i −0.672682 + 0.747749i
\(178\) 1.70725 0.127963
\(179\) −4.89385 + 4.54083i −0.365784 + 0.339398i −0.841555 0.540171i \(-0.818359\pi\)
0.475771 + 0.879569i \(0.342169\pi\)
\(180\) 14.8097 2.70100i 1.10385 0.201321i
\(181\) −2.01535 + 2.52717i −0.149800 + 0.187843i −0.851069 0.525053i \(-0.824045\pi\)
0.701270 + 0.712896i \(0.252617\pi\)
\(182\) 0.380893 + 0.836164i 0.0282337 + 0.0619806i
\(183\) 7.98583 12.1096i 0.590329 0.895166i
\(184\) −0.444861 1.94907i −0.0327956 0.143687i
\(185\) 13.9517 2.10288i 1.02575 0.154606i
\(186\) −2.02773 1.56659i −0.148680 0.114868i
\(187\) −19.5237 2.94273i −1.42772 0.215193i
\(188\) −5.51442 + 2.65561i −0.402181 + 0.193680i
\(189\) −13.0323 + 4.37722i −0.947958 + 0.318396i
\(190\) −1.62085 0.780558i −0.117589 0.0566277i
\(191\) −7.11118 4.84832i −0.514547 0.350812i 0.278042 0.960569i \(-0.410315\pi\)
−0.792589 + 0.609757i \(0.791267\pi\)
\(192\) 5.49453 11.8738i 0.396534 0.856921i
\(193\) 0.893883 11.9280i 0.0643431 0.858599i −0.867894 0.496750i \(-0.834527\pi\)
0.932237 0.361849i \(-0.117854\pi\)
\(194\) 1.29081 + 1.61863i 0.0926750 + 0.116211i
\(195\) 3.44374 + 10.5829i 0.246611 + 0.757858i
\(196\) 0.444823 + 13.8617i 0.0317731 + 0.990121i
\(197\) −15.7079 −1.11914 −0.559571 0.828782i \(-0.689034\pi\)
−0.559571 + 0.828782i \(0.689034\pi\)
\(198\) 1.08783 1.07356i 0.0773089 0.0762949i
\(199\) 2.44173 + 1.66474i 0.173089 + 0.118010i 0.646766 0.762689i \(-0.276121\pi\)
−0.473677 + 0.880699i \(0.657073\pi\)
\(200\) −0.171567 + 0.751686i −0.0121317 + 0.0531523i
\(201\) 4.08587 14.0084i 0.288195 0.988076i
\(202\) −0.0797348 1.06399i −0.00561012 0.0748619i
\(203\) 5.44075 + 4.53231i 0.381866 + 0.318105i
\(204\) −17.6849 + 4.32401i −1.23819 + 0.302741i
\(205\) 8.40836 + 1.26736i 0.587266 + 0.0885161i
\(206\) −0.0797828 1.06463i −0.00555873 0.0741761i
\(207\) 2.77800 + 10.6483i 0.193085 + 0.740110i
\(208\) 9.42524 + 2.90730i 0.653523 + 0.201585i
\(209\) 19.0952 2.87813i 1.32084 0.199085i
\(210\) 0.128175 1.58364i 0.00884490 0.109281i
\(211\) 0.834930 + 0.125846i 0.0574790 + 0.00866356i 0.177719 0.984081i \(-0.443128\pi\)
−0.120240 + 0.992745i \(0.538366\pi\)
\(212\) −23.1536 11.1502i −1.59019 0.765797i
\(213\) 0.265016 + 17.2083i 0.0181586 + 1.17910i
\(214\) −0.287956 −0.0196843
\(215\) −13.2785 + 22.9990i −0.905584 + 1.56852i
\(216\) 1.10957 2.60547i 0.0754969 0.177280i
\(217\) 22.7306 17.3459i 1.54305 1.17752i
\(218\) 0.512126 + 0.475184i 0.0346856 + 0.0321835i
\(219\) 14.7710 1.33595i 0.998130 0.0902753i
\(220\) −6.82279 17.3842i −0.459992 1.17204i
\(221\) −4.91720 12.5288i −0.330766 0.842779i
\(222\) 0.554699 1.19872i 0.0372290 0.0804529i
\(223\) −9.04626 8.39370i −0.605782 0.562084i 0.316504 0.948591i \(-0.397491\pi\)
−0.922286 + 0.386508i \(0.873681\pi\)
\(224\) −3.29769 2.74707i −0.220336 0.183546i
\(225\) 0.816547 4.16485i 0.0544365 0.277657i
\(226\) 0.686118 1.18839i 0.0456399 0.0790506i
\(227\) −27.5070 −1.82570 −0.912851 0.408292i \(-0.866124\pi\)
−0.912851 + 0.408292i \(0.866124\pi\)
\(228\) 15.2817 9.13949i 1.01205 0.605278i
\(229\) −1.78737 0.860753i −0.118113 0.0568802i 0.373894 0.927471i \(-0.378022\pi\)
−0.492007 + 0.870591i \(0.663737\pi\)
\(230\) −1.25760 0.189553i −0.0829240 0.0124988i
\(231\) 8.43913 + 14.8203i 0.555254 + 0.975106i
\(232\) −1.44237 + 0.217402i −0.0946961 + 0.0142731i
\(233\) 2.88951 + 0.891297i 0.189298 + 0.0583908i 0.387955 0.921678i \(-0.373182\pi\)
−0.198657 + 0.980069i \(0.563658\pi\)
\(234\) 1.00455 + 0.276290i 0.0656697 + 0.0180616i
\(235\) 0.584700 + 7.80227i 0.0381416 + 0.508964i
\(236\) 15.1356 + 2.28133i 0.985246 + 0.148502i
\(237\) 0.128982 + 0.134786i 0.00837826 + 0.00875527i
\(238\) −0.0410399 + 1.92102i −0.00266022 + 0.124521i
\(239\) 0.906803 + 12.1005i 0.0586562 + 0.782713i 0.946528 + 0.322622i \(0.104564\pi\)
−0.887872 + 0.460091i \(0.847817\pi\)
\(240\) −11.7919 12.3225i −0.761163 0.795414i
\(241\) 2.47022 10.8227i 0.159121 0.697153i −0.830923 0.556388i \(-0.812187\pi\)
0.990043 0.140765i \(-0.0449561\pi\)
\(242\) −0.322407 0.219813i −0.0207251 0.0141301i
\(243\) −5.66322 + 14.5234i −0.363296 + 0.931674i
\(244\) −16.5928 −1.06225
\(245\) 16.7028 + 5.94451i 1.06710 + 0.379781i
\(246\) 0.532397 0.591809i 0.0339444 0.0377324i
\(247\) 8.20748 + 10.2918i 0.522229 + 0.654855i
\(248\) −0.440152 + 5.87341i −0.0279497 + 0.372962i
\(249\) 12.6219 + 17.9140i 0.799883 + 1.13525i
\(250\) −1.02705 0.700233i −0.0649565 0.0442866i
\(251\) −10.2759 4.94860i −0.648607 0.312353i 0.0804978 0.996755i \(-0.474349\pi\)
−0.729105 + 0.684402i \(0.760063\pi\)
\(252\) 12.3869 + 9.68838i 0.780301 + 0.610311i
\(253\) 12.2999 5.92332i 0.773288 0.372396i
\(254\) 0.0158701 + 0.00239204i 0.000995780 + 0.000150090i
\(255\) −3.11391 + 23.0640i −0.195001 + 1.44432i
\(256\) −14.3596 + 2.16437i −0.897478 + 0.135273i
\(257\) 1.05585 + 4.62599i 0.0658622 + 0.288561i 0.997124 0.0757901i \(-0.0241479\pi\)
−0.931262 + 0.364351i \(0.881291\pi\)
\(258\) 1.11306 + 2.22306i 0.0692960 + 0.138401i
\(259\) 11.3244 + 9.43357i 0.703665 + 0.586173i
\(260\) 7.93727 9.95303i 0.492249 0.617260i
\(261\) 7.89904 1.44063i 0.488938 0.0891730i
\(262\) −1.46642 + 1.36064i −0.0905958 + 0.0840606i
\(263\) −2.78489 −0.171724 −0.0858618 0.996307i \(-0.527364\pi\)
−0.0858618 + 0.996307i \(0.527364\pi\)
\(264\) −3.43664 0.728903i −0.211511 0.0448609i
\(265\) −24.0819 + 22.3447i −1.47934 + 1.37262i
\(266\) −0.515446 1.80721i −0.0316041 0.110807i
\(267\) 12.4419 + 17.6584i 0.761431 + 1.08068i
\(268\) −15.9501 + 4.91995i −0.974306 + 0.300534i
\(269\) −13.5206 2.03790i −0.824364 0.124253i −0.276705 0.960955i \(-0.589243\pi\)
−0.547658 + 0.836702i \(0.684481\pi\)
\(270\) −1.28504 1.26263i −0.0782052 0.0768411i
\(271\) −6.40055 5.93884i −0.388805 0.360759i 0.461416 0.887184i \(-0.347342\pi\)
−0.850221 + 0.526425i \(0.823532\pi\)
\(272\) 15.1203 + 14.0295i 0.916800 + 0.850666i
\(273\) −5.87279 + 10.0334i −0.355438 + 0.607247i
\(274\) 1.14418 1.06164i 0.0691224 0.0641363i
\(275\) −5.26504 −0.317494
\(276\) 8.41898 9.35849i 0.506763 0.563315i
\(277\) 1.28924 + 5.64853i 0.0774629 + 0.339387i 0.998778 0.0494306i \(-0.0157407\pi\)
−0.921315 + 0.388818i \(0.872884\pi\)
\(278\) −0.662347 + 0.451580i −0.0397249 + 0.0270840i
\(279\) 1.42613 32.3901i 0.0853801 1.93914i
\(280\) −3.20102 + 1.75804i −0.191298 + 0.105063i
\(281\) 24.4876 3.69092i 1.46081 0.220182i 0.629938 0.776645i \(-0.283080\pi\)
0.830872 + 0.556464i \(0.187842\pi\)
\(282\) 0.639893 + 0.356419i 0.0381051 + 0.0212244i
\(283\) 21.7648 3.28052i 1.29379 0.195007i 0.534169 0.845378i \(-0.320625\pi\)
0.759617 + 0.650371i \(0.225387\pi\)
\(284\) 16.2659 11.0899i 0.965202 0.658063i
\(285\) −3.73875 22.4532i −0.221464 1.33002i
\(286\) 0.0965862 1.28885i 0.00571126 0.0762115i
\(287\) 4.84596 + 7.44452i 0.286048 + 0.439436i
\(288\) −4.78768 + 0.873181i −0.282117 + 0.0514527i
\(289\) 0.832933 11.1147i 0.0489961 0.653807i
\(290\) −0.206487 + 0.904679i −0.0121253 + 0.0531246i
\(291\) −7.33477 + 25.1472i −0.429972 + 1.47416i
\(292\) −10.5776 13.2639i −0.619009 0.776213i
\(293\) −3.61637 6.26374i −0.211271 0.365932i 0.740842 0.671680i \(-0.234427\pi\)
−0.952113 + 0.305748i \(0.901094\pi\)
\(294\) 1.32540 0.998981i 0.0772990 0.0582617i
\(295\) 9.78353 16.9456i 0.569619 0.986609i
\(296\) −3.00215 + 0.452502i −0.174497 + 0.0263011i
\(297\) 19.0319 + 3.42788i 1.10434 + 0.198906i
\(298\) −1.90534 + 0.587718i −0.110373 + 0.0340456i
\(299\) 7.68910 + 5.24234i 0.444672 + 0.303172i
\(300\) −4.49135 + 1.84304i −0.259308 + 0.106408i
\(301\) −27.1722 + 5.59410i −1.56618 + 0.322438i
\(302\) 1.54037 + 1.05021i 0.0886384 + 0.0604326i
\(303\) 10.4240 8.57873i 0.598841 0.492835i
\(304\) −18.1759 8.75304i −1.04246 0.502021i
\(305\) −7.74935 + 19.7450i −0.443726 + 1.13060i
\(306\) 1.64200 + 1.43203i 0.0938668 + 0.0818637i
\(307\) 6.51293 + 8.16695i 0.371712 + 0.466113i 0.932144 0.362088i \(-0.117936\pi\)
−0.560431 + 0.828201i \(0.689365\pi\)
\(308\) 8.83790 17.3917i 0.503586 0.990987i
\(309\) 10.4302 8.58389i 0.593356 0.488320i
\(310\) 3.37586 + 1.62573i 0.191736 + 0.0923352i
\(311\) −10.3863 3.20375i −0.588953 0.181668i −0.0140664 0.999901i \(-0.504478\pi\)
−0.574887 + 0.818233i \(0.694954\pi\)
\(312\) −0.741032 2.27726i −0.0419527 0.128924i
\(313\) −7.67820 13.2990i −0.433998 0.751706i 0.563216 0.826310i \(-0.309564\pi\)
−0.997213 + 0.0746040i \(0.976231\pi\)
\(314\) 0.311579 + 1.36512i 0.0175834 + 0.0770380i
\(315\) 17.3140 10.2153i 0.975533 0.575568i
\(316\) 0.0474857 0.208049i 0.00267128 0.0117036i
\(317\) −2.60538 + 0.803652i −0.146332 + 0.0451376i −0.367056 0.930199i \(-0.619634\pi\)
0.220724 + 0.975336i \(0.429158\pi\)
\(318\) 0.505139 + 3.03363i 0.0283268 + 0.170118i
\(319\) −3.63907 9.27219i −0.203749 0.519143i
\(320\) −4.25719 + 18.6520i −0.237984 + 1.04268i
\(321\) −2.09854 2.97839i −0.117129 0.166238i
\(322\) −0.724790 1.11345i −0.0403910 0.0620499i
\(323\) 6.12558 + 26.8379i 0.340836 + 1.49330i
\(324\) 17.4351 3.73799i 0.968619 0.207666i
\(325\) −1.79453 3.10821i −0.0995425 0.172413i
\(326\) 0.159122 + 0.697158i 0.00881294 + 0.0386120i
\(327\) −1.18271 + 8.76003i −0.0654039 + 0.484431i
\(328\) −1.80933 0.272713i −0.0999037 0.0150581i
\(329\) −5.68596 + 5.87135i −0.313477 + 0.323698i
\(330\) −1.23038 + 1.86572i −0.0677300 + 0.102705i
\(331\) 18.6921 17.3438i 1.02741 0.953299i 0.0284846 0.999594i \(-0.490932\pi\)
0.998928 + 0.0462948i \(0.0147414\pi\)
\(332\) 9.15801 23.3342i 0.502611 1.28063i
\(333\) 16.4411 2.99854i 0.900967 0.164319i
\(334\) −0.968119 2.46673i −0.0529731 0.134973i
\(335\) −1.59456 + 21.2780i −0.0871202 + 1.16254i
\(336\) 1.43733 17.7586i 0.0784127 0.968811i
\(337\) 1.21000 + 16.1464i 0.0659130 + 0.879548i 0.927951 + 0.372703i \(0.121569\pi\)
−0.862038 + 0.506844i \(0.830812\pi\)
\(338\) −0.809554 + 0.389861i −0.0440340 + 0.0212056i
\(339\) 17.2920 1.56397i 0.939173 0.0849430i
\(340\) 23.9854 11.5508i 1.30079 0.626429i
\(341\) −39.7710 + 5.99451i −2.15372 + 0.324621i
\(342\) −1.94744 0.865008i −0.105306 0.0467743i
\(343\) 6.95061 + 17.1665i 0.375298 + 0.926904i
\(344\) 2.85729 4.94898i 0.154055 0.266831i
\(345\) −7.20445 14.3891i −0.387874 0.774682i
\(346\) −0.0942384 + 1.25752i −0.00506629 + 0.0676049i
\(347\) 19.2922 + 17.9006i 1.03566 + 0.960952i 0.999263 0.0383850i \(-0.0122213\pi\)
0.0363974 + 0.999337i \(0.488412\pi\)
\(348\) −6.35006 6.63580i −0.340399 0.355716i
\(349\) −10.4507 + 7.12519i −0.559415 + 0.381403i −0.809766 0.586752i \(-0.800406\pi\)
0.250352 + 0.968155i \(0.419454\pi\)
\(350\) 0.0655274 + 0.508173i 0.00350258 + 0.0271630i
\(351\) 4.46316 + 12.4038i 0.238226 + 0.662068i
\(352\) 2.20567 + 5.61996i 0.117563 + 0.299545i
\(353\) 2.75321 + 1.32588i 0.146539 + 0.0705693i 0.505716 0.862700i \(-0.331228\pi\)
−0.359177 + 0.933269i \(0.616943\pi\)
\(354\) −0.820097 1.63794i −0.0435877 0.0870555i
\(355\) −5.60002 24.5353i −0.297218 1.30220i
\(356\) 9.02737 23.0014i 0.478450 1.21907i
\(357\) −20.1686 + 13.5753i −1.06744 + 0.718483i
\(358\) −0.333879 0.850711i −0.0176461 0.0449615i
\(359\) 9.89740 6.74793i 0.522365 0.356142i −0.273252 0.961942i \(-0.588099\pi\)
0.795617 + 0.605800i \(0.207147\pi\)
\(360\) −0.796703 + 4.06364i −0.0419900 + 0.214173i
\(361\) −3.96193 6.86226i −0.208522 0.361171i
\(362\) −0.221241 0.383201i −0.0116282 0.0201406i
\(363\) −0.0760267 4.93666i −0.00399037 0.259107i
\(364\) 13.2795 0.710326i 0.696035 0.0372312i
\(365\) −20.7238 + 6.39246i −1.08474 + 0.334596i
\(366\) 1.14372 + 1.62324i 0.0597830 + 0.0848483i
\(367\) −3.03194 + 3.80193i −0.158266 + 0.198459i −0.854642 0.519218i \(-0.826223\pi\)
0.696376 + 0.717677i \(0.254795\pi\)
\(368\) −14.1025 2.12562i −0.735146 0.110805i
\(369\) 10.0012 + 1.19377i 0.520639 + 0.0621452i
\(370\) −0.429783 + 1.88300i −0.0223434 + 0.0978927i
\(371\) −34.1590 3.29489i −1.77344 0.171062i
\(372\) −31.8283 + 19.0355i −1.65022 + 0.986946i
\(373\) 13.8301 0.716098 0.358049 0.933703i \(-0.383442\pi\)
0.358049 + 0.933703i \(0.383442\pi\)
\(374\) 1.35140 2.34070i 0.0698795 0.121035i
\(375\) −0.242189 15.7261i −0.0125066 0.812093i
\(376\) −0.125817 1.67891i −0.00648852 0.0865833i
\(377\) 4.23350 5.30864i 0.218036 0.273409i
\(378\) 0.0939873 1.87959i 0.00483419 0.0966757i
\(379\) −11.3063 14.1777i −0.580768 0.728260i 0.401476 0.915870i \(-0.368497\pi\)
−0.982244 + 0.187610i \(0.939926\pi\)
\(380\) −19.0868 + 17.7100i −0.979133 + 0.908503i
\(381\) 0.0909153 + 0.181581i 0.00465773 + 0.00930266i
\(382\) 0.973456 0.663691i 0.0498064 0.0339574i
\(383\) −10.1202 + 12.6903i −0.517117 + 0.648444i −0.969994 0.243129i \(-0.921826\pi\)
0.452877 + 0.891573i \(0.350398\pi\)
\(384\) 5.12350 + 5.35405i 0.261458 + 0.273223i
\(385\) −16.5682 18.6394i −0.844392 0.949950i
\(386\) 1.47526 + 0.710450i 0.0750890 + 0.0361609i
\(387\) −14.8819 + 27.7136i −0.756490 + 1.40876i
\(388\) 28.6328 8.83206i 1.45361 0.448380i
\(389\) −18.6018 + 8.95814i −0.943147 + 0.454196i −0.841278 0.540602i \(-0.818196\pi\)
−0.101869 + 0.994798i \(0.532482\pi\)
\(390\) −1.52079 0.0904422i −0.0770082 0.00457972i
\(391\) 9.73052 + 16.8538i 0.492093 + 0.852331i
\(392\) −3.59415 1.27915i −0.181532 0.0646070i
\(393\) −24.7602 5.25158i −1.24899 0.264907i
\(394\) 0.785583 2.00163i 0.0395771 0.100841i
\(395\) −0.225395 0.153672i −0.0113409 0.00773207i
\(396\) −8.71180 20.3328i −0.437784 1.02176i
\(397\) −1.39840 + 18.6603i −0.0701836 + 0.936535i 0.845329 + 0.534246i \(0.179404\pi\)
−0.915513 + 0.402289i \(0.868215\pi\)
\(398\) −0.334250 + 0.227888i −0.0167545 + 0.0114230i
\(399\) 14.9360 18.5018i 0.747735 0.926249i
\(400\) 4.54455 + 3.09842i 0.227228 + 0.154921i
\(401\) −16.2294 + 20.3511i −0.810459 + 1.01628i 0.188953 + 0.981986i \(0.439491\pi\)
−0.999412 + 0.0342972i \(0.989081\pi\)
\(402\) 1.58072 + 1.22124i 0.0788393 + 0.0609100i
\(403\) −17.0943 21.4356i −0.851530 1.06778i
\(404\) −14.7565 4.55177i −0.734163 0.226459i
\(405\) 3.69464 22.4931i 0.183588 1.11769i
\(406\) −0.849646 + 0.466636i −0.0421672 + 0.0231588i
\(407\) −7.57438 19.2992i −0.375448 0.956626i
\(408\) 0.670059 4.96296i 0.0331729 0.245703i
\(409\) −9.78092 3.01701i −0.483635 0.149182i 0.0433433 0.999060i \(-0.486199\pi\)
−0.526979 + 0.849878i \(0.676675\pi\)
\(410\) −0.582015 + 1.00808i −0.0287437 + 0.0497855i
\(411\) 19.3193 + 4.09757i 0.952949 + 0.202118i
\(412\) −14.7654 4.55451i −0.727437 0.224385i
\(413\) 20.0204 4.12171i 0.985138 0.202816i
\(414\) −1.49583 0.178547i −0.0735161 0.00877512i
\(415\) −23.4901 21.7956i −1.15308 1.06990i
\(416\) −2.56596 + 3.21761i −0.125807 + 0.157757i
\(417\) −9.49778 3.55982i −0.465108 0.174325i
\(418\) −0.588230 + 2.57720i −0.0287713 + 0.126055i
\(419\) 2.79360 0.861710i 0.136476 0.0420973i −0.225765 0.974182i \(-0.572488\pi\)
0.362241 + 0.932085i \(0.382012\pi\)
\(420\) −20.6582 10.1006i −1.00802 0.492860i
\(421\) 7.35171 + 2.26770i 0.358300 + 0.110521i 0.468679 0.883369i \(-0.344730\pi\)
−0.110379 + 0.993890i \(0.535206\pi\)
\(422\) −0.0577927 + 0.100100i −0.00281331 + 0.00487279i
\(423\) 0.976831 + 9.21603i 0.0474951 + 0.448099i
\(424\) 5.18199 4.80819i 0.251660 0.233506i
\(425\) −0.560882 7.48445i −0.0272068 0.363049i
\(426\) −2.20608 0.826851i −0.106885 0.0400611i
\(427\) −20.7943 + 7.65277i −1.00631 + 0.370343i
\(428\) −1.52262 + 3.87957i −0.0735986 + 0.187526i
\(429\) 14.0348 8.39376i 0.677606 0.405255i
\(430\) −2.26664 2.84227i −0.109307 0.137067i
\(431\) 0.989141 + 13.1992i 0.0476452 + 0.635781i 0.969000 + 0.247059i \(0.0794643\pi\)
−0.921355 + 0.388722i \(0.872917\pi\)
\(432\) −14.4102 14.1589i −0.693313 0.681220i
\(433\) 13.8014 6.64640i 0.663253 0.319406i −0.0717965 0.997419i \(-0.522873\pi\)
0.735049 + 0.678014i \(0.237159\pi\)
\(434\) 1.07356 + 3.76402i 0.0515325 + 0.180679i
\(435\) −10.8621 + 4.45729i −0.520798 + 0.213711i
\(436\) 9.11001 4.38715i 0.436290 0.210106i
\(437\) −13.9528 12.9463i −0.667454 0.619306i
\(438\) −0.568486 + 1.94905i −0.0271633 + 0.0931293i
\(439\) −7.07788 + 18.0341i −0.337809 + 0.860723i 0.656514 + 0.754314i \(0.272030\pi\)
−0.994322 + 0.106409i \(0.966065\pi\)
\(440\) 5.13709 0.244901
\(441\) 19.9918 + 6.42866i 0.951991 + 0.306127i
\(442\) 1.84244 0.0876361
\(443\) 0.843958 2.15037i 0.0400977 0.102167i −0.909422 0.415874i \(-0.863476\pi\)
0.949520 + 0.313707i \(0.101571\pi\)
\(444\) −13.2170 13.8118i −0.627253 0.655479i
\(445\) −23.1550 21.4847i −1.09765 1.01847i
\(446\) 1.52201 0.732963i 0.0720695 0.0347068i
\(447\) −19.9644 15.4242i −0.944284 0.729539i
\(448\) −17.5173 + 9.62074i −0.827616 + 0.454537i
\(449\) 14.3871 6.92848i 0.678971 0.326975i −0.0624186 0.998050i \(-0.519881\pi\)
0.741390 + 0.671075i \(0.234167\pi\)
\(450\) 0.489883 + 0.312343i 0.0230933 + 0.0147240i
\(451\) −0.933747 12.4600i −0.0439684 0.586718i
\(452\) −12.3830 15.5278i −0.582446 0.730364i
\(453\) 0.363235 + 23.5860i 0.0170663 + 1.10817i
\(454\) 1.37568 3.50517i 0.0645637 0.164506i
\(455\) 5.35667 16.1340i 0.251124 0.756375i
\(456\) 0.804513 + 4.83154i 0.0376748 + 0.226258i
\(457\) 2.17060 + 28.9646i 0.101536 + 1.35491i 0.782527 + 0.622616i \(0.213930\pi\)
−0.680991 + 0.732292i \(0.738451\pi\)
\(458\) 0.199074 0.184714i 0.00930212 0.00863111i
\(459\) −2.84540 + 27.4197i −0.132812 + 1.27984i
\(460\) −9.20362 + 15.9411i −0.429121 + 0.743260i
\(461\) 8.55010 + 2.63736i 0.398218 + 0.122834i 0.487395 0.873182i \(-0.337947\pi\)
−0.0891766 + 0.996016i \(0.528424\pi\)
\(462\) −2.31058 + 0.334190i −0.107498 + 0.0155479i
\(463\) 20.2679 6.25182i 0.941930 0.290547i 0.214496 0.976725i \(-0.431189\pi\)
0.727434 + 0.686178i \(0.240713\pi\)
\(464\) −2.31551 + 10.1449i −0.107495 + 0.470965i
\(465\) 7.78698 + 46.7651i 0.361113 + 2.16868i
\(466\) −0.258086 + 0.323630i −0.0119556 + 0.0149919i
\(467\) 24.2846 + 22.5328i 1.12376 + 1.04269i 0.998722 + 0.0505420i \(0.0160949\pi\)
0.125035 + 0.992152i \(0.460096\pi\)
\(468\) 9.03415 12.0732i 0.417604 0.558084i
\(469\) −17.7197 + 13.5221i −0.818221 + 0.624392i
\(470\) −1.02347 0.315699i −0.0472092 0.0145621i
\(471\) −11.8490 + 13.1713i −0.545974 + 0.606901i
\(472\) −2.10524 + 3.64639i −0.0969017 + 0.167839i
\(473\) 37.2895 + 11.5023i 1.71457 + 0.528875i
\(474\) −0.0236261 + 0.00969502i −0.00108518 + 0.000445307i
\(475\) 2.68186 + 6.83326i 0.123052 + 0.313532i
\(476\) 25.6645 + 10.7107i 1.17633 + 0.490923i
\(477\) −27.6963 + 27.3330i −1.26812 + 1.25149i
\(478\) −1.58729 0.489614i −0.0726009 0.0223944i
\(479\) −21.0073 26.3424i −0.959850 1.20361i −0.979013 0.203797i \(-0.934672\pi\)
0.0191633 0.999816i \(-0.493900\pi\)
\(480\) 6.58362 2.70160i 0.300500 0.123311i
\(481\) 8.81163 11.0494i 0.401776 0.503811i
\(482\) 1.25558 + 0.856040i 0.0571901 + 0.0389915i
\(483\) 6.23456 15.6111i 0.283682 0.710330i
\(484\) −4.66628 + 3.18142i −0.212104 + 0.144610i
\(485\) 2.86249 38.1972i 0.129979 1.73445i
\(486\) −1.56746 1.44799i −0.0711013 0.0656824i
\(487\) 19.8430 + 13.5287i 0.899171 + 0.613045i 0.922210 0.386690i \(-0.126382\pi\)
−0.0230383 + 0.999735i \(0.507334\pi\)
\(488\) 1.66752 4.24878i 0.0754852 0.192333i
\(489\) −6.05123 + 6.72651i −0.273646 + 0.304183i
\(490\) −1.59284 + 1.83111i −0.0719570 + 0.0827213i
\(491\) −3.87471 6.71119i −0.174863 0.302872i 0.765251 0.643732i \(-0.222615\pi\)
−0.940114 + 0.340860i \(0.889282\pi\)
\(492\) −5.15817 10.3022i −0.232548 0.464457i
\(493\) 12.7931 6.16083i 0.576172 0.277470i
\(494\) −1.72194 + 0.531149i −0.0774739 + 0.0238975i
\(495\) −28.2642 + 0.870769i −1.27038 + 0.0391382i
\(496\) 37.8563 + 18.2306i 1.69980 + 0.818579i
\(497\) 15.2699 21.4000i 0.684946 0.959920i
\(498\) −2.91399 + 0.712481i −0.130579 + 0.0319270i
\(499\) 19.6361 24.6229i 0.879034 1.10227i −0.115017 0.993364i \(-0.536692\pi\)
0.994052 0.108911i \(-0.0347363\pi\)
\(500\) −14.8648 + 10.1347i −0.664775 + 0.453236i
\(501\) 18.4585 27.9902i 0.824667 1.25051i
\(502\) 1.14451 1.06195i 0.0510818 0.0473970i
\(503\) 0.829596 + 1.04028i 0.0369898 + 0.0463838i 0.799982 0.600024i \(-0.204842\pi\)
−0.762993 + 0.646407i \(0.776271\pi\)
\(504\) −3.72567 + 2.19816i −0.165954 + 0.0979137i
\(505\) −12.3082 + 15.4340i −0.547709 + 0.686805i
\(506\) 0.139657 + 1.86359i 0.00620850 + 0.0828466i
\(507\) −9.93220 5.53221i −0.441105 0.245694i
\(508\) 0.116144 0.201167i 0.00515304 0.00892533i
\(509\) 4.78004 0.211872 0.105936 0.994373i \(-0.466216\pi\)
0.105936 + 0.994373i \(0.466216\pi\)
\(510\) −2.78327 1.55027i −0.123245 0.0686473i
\(511\) −19.3735 11.7440i −0.857033 0.519526i
\(512\) 2.34645 10.2805i 0.103700 0.454338i
\(513\) −5.24540 26.4467i −0.231590 1.16765i
\(514\) −0.642287 0.0968091i −0.0283300 0.00427007i
\(515\) −12.3156 + 15.4433i −0.542692 + 0.680514i
\(516\) 35.8363 3.24119i 1.57760 0.142685i
\(517\) 10.9861 3.38878i 0.483170 0.149038i
\(518\) −1.76846 + 0.971259i −0.0777016 + 0.0426747i
\(519\) −13.6936 + 8.18973i −0.601084 + 0.359489i
\(520\) 1.75092 + 3.03268i 0.0767828 + 0.132992i
\(521\) 5.23965 + 9.07534i 0.229553 + 0.397598i 0.957676 0.287849i \(-0.0929401\pi\)
−0.728122 + 0.685447i \(0.759607\pi\)
\(522\) −0.211469 + 1.07861i −0.00925573 + 0.0472095i
\(523\) 32.3133 22.0308i 1.41296 0.963341i 0.414380 0.910104i \(-0.363999\pi\)
0.998582 0.0532369i \(-0.0169538\pi\)
\(524\) 10.5777 + 26.9514i 0.462087 + 1.17738i
\(525\) −4.77860 + 4.38118i −0.208555 + 0.191210i
\(526\) 0.139278 0.354874i 0.00607279 0.0154732i
\(527\) −12.7582 55.8974i −0.555756 2.43493i
\(528\) −13.7972 + 20.9219i −0.600447 + 0.910508i
\(529\) 8.59882 + 4.14097i 0.373862 + 0.180042i
\(530\) −1.64297 4.18621i −0.0713659 0.181837i
\(531\) 10.9649 20.4193i 0.475838 0.886120i
\(532\) −27.0737 2.61147i −1.17380 0.113222i
\(533\) 7.03749 4.79808i 0.304828 0.207828i
\(534\) −2.87242 + 0.702317i −0.124302 + 0.0303922i
\(535\) 3.90548 + 3.62376i 0.168849 + 0.156669i
\(536\) 0.343122 4.57864i 0.0148206 0.197767i
\(537\) 6.36588 9.65311i 0.274708 0.416562i
\(538\) 0.935875 1.62098i 0.0403484 0.0698855i
\(539\) 3.05453 25.8717i 0.131568 1.11437i
\(540\) −23.8060 + 10.6367i −1.02445 + 0.457733i
\(541\) −21.6854 + 3.26854i −0.932327 + 0.140526i −0.597605 0.801791i \(-0.703881\pi\)
−0.334723 + 0.942317i \(0.608643\pi\)
\(542\) 1.07688 0.518598i 0.0462559 0.0222757i
\(543\) 2.35119 5.08100i 0.100899 0.218046i
\(544\) −7.75401 + 3.73414i −0.332451 + 0.160100i
\(545\) −0.965943 12.8896i −0.0413765 0.552130i
\(546\) −0.984825 1.25015i −0.0421466 0.0535014i
\(547\) −2.11857 + 28.2703i −0.0905833 + 1.20875i 0.747896 + 0.663816i \(0.231064\pi\)
−0.838479 + 0.544934i \(0.816555\pi\)
\(548\) −8.25325 21.0289i −0.352561 0.898312i
\(549\) −8.45450 + 23.6594i −0.360829 + 1.00976i
\(550\) 0.263315 0.670915i 0.0112278 0.0286079i
\(551\) −10.1803 + 9.44597i −0.433697 + 0.402412i
\(552\) 1.55027 + 3.09628i 0.0659839 + 0.131786i
\(553\) −0.0364443 0.282630i −0.00154977 0.0120187i
\(554\) −0.784259 0.118208i −0.0333200 0.00502218i
\(555\) −22.6085 + 9.27742i −0.959676 + 0.393805i
\(556\) 2.58177 + 11.3115i 0.109491 + 0.479713i
\(557\) 12.3050 + 21.3130i 0.521381 + 0.903059i 0.999691 + 0.0248676i \(0.00791642\pi\)
−0.478309 + 0.878191i \(0.658750\pi\)
\(558\) 4.05609 + 1.80162i 0.171708 + 0.0762686i
\(559\) 5.91932 + 25.9342i 0.250361 + 1.09690i
\(560\) 3.33184 + 25.8389i 0.140796 + 1.09189i
\(561\) 34.0590 3.08045i 1.43797 0.130057i
\(562\) −0.754346 + 3.30501i −0.0318202 + 0.139413i
\(563\) −13.0010 33.1261i −0.547928 1.39610i −0.889800 0.456351i \(-0.849156\pi\)
0.341872 0.939747i \(-0.388939\pi\)
\(564\) 8.18551 6.73652i 0.344672 0.283659i
\(565\) −24.2609 + 7.48349i −1.02066 + 0.314833i
\(566\) −0.670470 + 2.93752i −0.0281819 + 0.123473i
\(567\) 20.1260 12.7258i 0.845212 0.534432i
\(568\) 1.20503 + 5.27956i 0.0505618 + 0.221526i
\(569\) 15.4988 + 26.8447i 0.649743 + 1.12539i 0.983184 + 0.182618i \(0.0584570\pi\)
−0.333441 + 0.942771i \(0.608210\pi\)
\(570\) 3.04816 + 0.646507i 0.127673 + 0.0270792i
\(571\) −4.22579 1.30348i −0.176844 0.0545490i 0.205069 0.978748i \(-0.434258\pi\)
−0.381912 + 0.924199i \(0.624734\pi\)
\(572\) −16.8537 8.11633i −0.704690 0.339361i
\(573\) 13.9590 + 5.23189i 0.583144 + 0.218565i
\(574\) −1.19100 + 0.245198i −0.0497112 + 0.0102344i
\(575\) 3.23561 + 4.05733i 0.134934 + 0.169202i
\(576\) −4.35990 + 22.2379i −0.181662 + 0.926581i
\(577\) −9.22244 + 23.4984i −0.383935 + 0.978251i 0.600044 + 0.799967i \(0.295150\pi\)
−0.983979 + 0.178284i \(0.942945\pi\)
\(578\) 1.37467 + 0.662007i 0.0571788 + 0.0275359i
\(579\) 3.40294 + 20.4365i 0.141421 + 0.849313i
\(580\) 11.0967 + 7.56561i 0.460766 + 0.314145i
\(581\) 0.714966 33.4666i 0.0296618 1.38843i
\(582\) −2.83764 2.19232i −0.117624 0.0908745i
\(583\) 39.8846 + 27.1929i 1.65185 + 1.12621i
\(584\) 4.45941 1.37554i 0.184531 0.0569204i
\(585\) −10.1476 16.3890i −0.419551 0.677601i
\(586\) 0.979039 0.147566i 0.0404437 0.00609591i
\(587\) 10.6449 18.4375i 0.439362 0.760998i −0.558278 0.829654i \(-0.688538\pi\)
0.997640 + 0.0686558i \(0.0218710\pi\)
\(588\) −6.45075 23.1392i −0.266025 0.954243i
\(589\) 28.0382 + 48.5636i 1.15529 + 2.00103i
\(590\) 1.67005 + 2.09418i 0.0687549 + 0.0862159i
\(591\) 26.4284 6.46184i 1.08712 0.265804i
\(592\) −4.81951 + 21.1157i −0.198081 + 0.867849i
\(593\) 0.103199 1.37709i 0.00423787 0.0565504i −0.994684 0.102975i \(-0.967164\pi\)
0.998922 + 0.0464248i \(0.0147828\pi\)
\(594\) −1.38863 + 2.25377i −0.0569762 + 0.0924732i
\(595\) 24.7315 25.5379i 1.01389 1.04695i
\(596\) −2.15660 + 28.7778i −0.0883378 + 1.17879i
\(597\) −4.79301 1.79645i −0.196165 0.0735236i
\(598\) −1.05257 + 0.717629i −0.0430427 + 0.0293460i
\(599\) 31.5026 4.74826i 1.28716 0.194009i 0.530427 0.847730i \(-0.322031\pi\)
0.756735 + 0.653722i \(0.226793\pi\)
\(600\) −0.0205639 1.33528i −0.000839520 0.0545127i
\(601\) 3.19479 0.481537i 0.130318 0.0196423i −0.0835592 0.996503i \(-0.526629\pi\)
0.213877 + 0.976861i \(0.431391\pi\)
\(602\) 0.646086 3.74227i 0.0263325 0.152524i
\(603\) −1.11174 + 25.2498i −0.0452737 + 1.02825i
\(604\) 22.2942 15.1999i 0.907139 0.618477i
\(605\) 1.60651 + 7.03858i 0.0653139 + 0.286159i
\(606\) 0.571850 + 1.75735i 0.0232298 + 0.0713873i
\(607\) −27.5974 −1.12014 −0.560072 0.828444i \(-0.689227\pi\)
−0.560072 + 0.828444i \(0.689227\pi\)
\(608\) 6.17039 5.72528i 0.250242 0.232191i
\(609\) −11.0185 5.38737i −0.446491 0.218307i
\(610\) −2.12851 1.97497i −0.0861810 0.0799642i
\(611\) 5.74507 + 5.33064i 0.232420 + 0.215655i
\(612\) 27.9758 14.5502i 1.13085 0.588157i
\(613\) −45.9903 6.93192i −1.85753 0.279977i −0.877610 0.479375i \(-0.840863\pi\)
−0.979919 + 0.199397i \(0.936102\pi\)
\(614\) −1.36642 + 0.421486i −0.0551444 + 0.0170098i
\(615\) −14.6683 + 1.32667i −0.591485 + 0.0534965i
\(616\) 3.56518 + 4.01086i 0.143645 + 0.161602i
\(617\) 15.2309 14.1322i 0.613173 0.568941i −0.311242 0.950331i \(-0.600745\pi\)
0.924414 + 0.381390i \(0.124554\pi\)
\(618\) 0.572194 + 1.75840i 0.0230170 + 0.0707333i
\(619\) 8.87468 0.356704 0.178352 0.983967i \(-0.442923\pi\)
0.178352 + 0.983967i \(0.442923\pi\)
\(620\) 39.7536 36.8859i 1.59654 1.48137i
\(621\) −9.05441 16.7729i −0.363341 0.673074i
\(622\) 0.927686 1.16328i 0.0371968 0.0466434i
\(623\) 0.704767 32.9892i 0.0282359 1.32168i
\(624\) −17.0539 1.01420i −0.682701 0.0406006i
\(625\) 6.69168 + 29.3182i 0.267667 + 1.17273i
\(626\) 2.07867 0.313310i 0.0830805 0.0125224i
\(627\) −30.9434 + 12.6977i −1.23576 + 0.507097i
\(628\) 20.0395 + 3.02047i 0.799662 + 0.120530i
\(629\) 26.6276 12.8232i 1.06171 0.511294i
\(630\) 0.435814 + 2.71718i 0.0173633 + 0.108255i
\(631\) 32.6992 + 15.7471i 1.30174 + 0.626883i 0.950884 0.309548i \(-0.100178\pi\)
0.350852 + 0.936431i \(0.385892\pi\)
\(632\) 0.0485011 + 0.0330675i 0.00192927 + 0.00131535i
\(633\) −1.45653 + 0.131735i −0.0578919 + 0.00523600i
\(634\) 0.0278918 0.372190i 0.00110773 0.0147816i
\(635\) −0.185141 0.232159i −0.00734708 0.00921295i
\(636\) 43.5425 + 9.23526i 1.72657 + 0.366202i
\(637\) 16.3145 7.01483i 0.646402 0.277938i
\(638\) 1.36354 0.0539829
\(639\) −7.52496 28.8438i −0.297683 1.14104i
\(640\) −8.95331 6.10426i −0.353911 0.241292i
\(641\) −4.53646 + 19.8755i −0.179179 + 0.785035i 0.802831 + 0.596207i \(0.203326\pi\)
−0.982010 + 0.188829i \(0.939531\pi\)
\(642\) 0.484483 0.118458i 0.0191210 0.00467515i
\(643\) 0.154954 + 2.06771i 0.00611078 + 0.0815427i 0.999425 0.0338963i \(-0.0107916\pi\)
−0.993315 + 0.115439i \(0.963173\pi\)
\(644\) −18.8337 + 3.87740i −0.742151 + 0.152791i
\(645\) 12.8797 44.1580i 0.507138 1.73872i
\(646\) −3.72626 0.561643i −0.146608 0.0220975i
\(647\) 2.57789 + 34.3996i 0.101347 + 1.35239i 0.783598 + 0.621268i \(0.213382\pi\)
−0.682250 + 0.731119i \(0.738999\pi\)
\(648\) −0.795022 + 4.84013i −0.0312314 + 0.190138i
\(649\) −27.4748 8.47484i −1.07848 0.332667i
\(650\) 0.485822 0.0732259i 0.0190555 0.00287216i
\(651\) −31.1083 + 38.5351i −1.21923 + 1.51031i
\(652\) 10.2341 + 1.54254i 0.400797 + 0.0604104i
\(653\) 24.5288 + 11.8124i 0.959886 + 0.462257i 0.847142 0.531367i \(-0.178322\pi\)
0.112745 + 0.993624i \(0.464036\pi\)
\(654\) −1.05713 0.588816i −0.0413369 0.0230245i
\(655\) 37.0116 1.44616
\(656\) −6.52661 + 11.3044i −0.254821 + 0.441364i
\(657\) −24.3024 + 8.32413i −0.948128 + 0.324755i
\(658\) −0.463810 1.01819i −0.0180812 0.0396931i
\(659\) −29.0369 26.9423i −1.13112 1.04952i −0.998294 0.0583827i \(-0.981406\pi\)
−0.132822 0.991140i \(-0.542404\pi\)
\(660\) 18.6307 + 26.4420i 0.725198 + 1.02925i
\(661\) −4.93113 12.5643i −0.191799 0.488695i 0.802332 0.596878i \(-0.203592\pi\)
−0.994131 + 0.108182i \(0.965497\pi\)
\(662\) 1.27526 + 3.24930i 0.0495642 + 0.126288i
\(663\) 13.4272 + 19.0568i 0.521468 + 0.740104i
\(664\) 5.05465 + 4.69003i 0.196159 + 0.182009i
\(665\) −15.7519 + 30.9974i −0.610831 + 1.20203i
\(666\) −0.440152 + 2.24502i −0.0170555 + 0.0869929i
\(667\) −4.90893 + 8.50252i −0.190075 + 0.329219i
\(668\) −38.3528 −1.48391
\(669\) 18.6732 + 10.4009i 0.721947 + 0.402122i
\(670\) −2.63166 1.26734i −0.101670 0.0489617i
\(671\) 30.8200 + 4.64537i 1.18979 + 0.179333i
\(672\) 6.67840 + 3.26533i 0.257625 + 0.125963i
\(673\) −16.4388 + 2.47775i −0.633669 + 0.0955103i −0.458019 0.888942i \(-0.651441\pi\)
−0.175650 + 0.984453i \(0.556203\pi\)
\(674\) −2.11802 0.653321i −0.0815829 0.0251650i
\(675\) 0.339482 + 7.34323i 0.0130667 + 0.282641i
\(676\) 0.971849 + 12.9684i 0.0373788 + 0.498785i
\(677\) −10.7090 1.61412i −0.411580 0.0620356i −0.0600108 0.998198i \(-0.519114\pi\)
−0.351569 + 0.936162i \(0.614352\pi\)
\(678\) −0.665513 + 2.28171i −0.0255589 + 0.0876284i
\(679\) 31.8096 24.2742i 1.22074 0.931559i
\(680\) 0.547252 + 7.30257i 0.0209861 + 0.280041i
\(681\) 46.2802 11.3157i 1.77346 0.433617i
\(682\) 1.22515 5.36774i 0.0469135 0.205541i
\(683\) −35.0104 23.8697i −1.33963 0.913347i −0.340001 0.940425i \(-0.610427\pi\)
−0.999633 + 0.0270777i \(0.991380\pi\)
\(684\) −21.9515 + 21.6636i −0.839337 + 0.828328i
\(685\) −28.8784 −1.10339
\(686\) −2.53511 + 0.0271743i −0.0967910 + 0.00103752i
\(687\) 3.36133 + 0.712929i 0.128243 + 0.0271999i
\(688\) −25.4177 31.8727i −0.969039 1.21514i
\(689\) −2.45909 + 32.8142i −0.0936837 + 1.25012i
\(690\) 2.19388 0.198425i 0.0835197 0.00755389i
\(691\) 2.22947 + 1.52003i 0.0848132 + 0.0578246i 0.604984 0.796237i \(-0.293179\pi\)
−0.520171 + 0.854062i \(0.674132\pi\)
\(692\) 16.4441 + 7.91904i 0.625110 + 0.301037i
\(693\) −20.2954 21.4634i −0.770960 0.815327i
\(694\) −3.24588 + 1.56313i −0.123212 + 0.0593357i
\(695\) 14.6661 + 2.21056i 0.556318 + 0.0838515i
\(696\) 2.33734 0.959130i 0.0885965 0.0363557i
\(697\) 17.6129 2.65471i 0.667135 0.100554i
\(698\) −0.385289 1.68806i −0.0145834 0.0638941i
\(699\) −5.22823 0.310926i −0.197750 0.0117603i
\(700\) 7.19300 + 1.80422i 0.271870 + 0.0681931i
\(701\) 3.76216 4.71759i 0.142095 0.178181i −0.705692 0.708519i \(-0.749364\pi\)
0.847786 + 0.530338i \(0.177935\pi\)
\(702\) −1.80381 0.0516069i −0.0680804 0.00194778i
\(703\) −21.1894 + 19.6609i −0.799173 + 0.741525i
\(704\) 28.1123 1.05952
\(705\) −4.19341 12.8867i −0.157933 0.485342i
\(706\) −0.306648 + 0.284527i −0.0115408 + 0.0107083i
\(707\) −20.5924 + 1.10149i −0.774455 + 0.0414259i
\(708\) −26.4040 + 2.38810i −0.992324 + 0.0897502i
\(709\) 9.68833 2.98845i 0.363853 0.112234i −0.107438 0.994212i \(-0.534265\pi\)
0.471290 + 0.881978i \(0.343788\pi\)
\(710\) 3.40656 + 0.513456i 0.127846 + 0.0192696i
\(711\) −0.272458 0.173716i −0.0102180 0.00651485i
\(712\) 4.98255 + 4.62313i 0.186729 + 0.173259i
\(713\) 29.0606 + 26.9643i 1.08833 + 1.00982i
\(714\) −0.721210 3.24898i −0.0269906 0.121590i
\(715\) −17.5294 + 16.2649i −0.655564 + 0.608274i
\(716\) −13.2269 −0.494312
\(717\) −6.50350 19.9858i −0.242878 0.746385i
\(718\) 0.364889 + 1.59868i 0.0136175 + 0.0596624i
\(719\) 20.5211 13.9910i 0.765308 0.521778i −0.116612 0.993178i \(-0.537203\pi\)
0.881920 + 0.471400i \(0.156251\pi\)
\(720\) 24.9089 + 15.8816i 0.928299 + 0.591872i
\(721\) −20.6047 + 1.10216i −0.767361 + 0.0410464i
\(722\) 1.07259 0.161667i 0.0399176 0.00601661i
\(723\) 0.296078 + 19.2253i 0.0110113 + 0.714997i
\(724\) −6.33264 + 0.954491i −0.235351 + 0.0354734i
\(725\) 3.12848 2.13296i 0.116189 0.0792161i
\(726\) 0.632872 + 0.237204i 0.0234881 + 0.00880345i
\(727\) −0.260428 + 3.47516i −0.00965872 + 0.128887i −0.999949 0.0101305i \(-0.996775\pi\)
0.990290 + 0.139017i \(0.0443943\pi\)
\(728\) −1.15266 + 3.47176i −0.0427204 + 0.128672i
\(729\) 3.55377 26.7651i 0.131621 0.991300i
\(730\) 0.221859 2.96050i 0.00821136 0.109573i
\(731\) −12.3785 + 54.2337i −0.457835 + 2.00591i
\(732\) 27.9172 6.82585i 1.03185 0.252291i
\(733\) 3.56989 + 4.47650i 0.131857 + 0.165343i 0.843377 0.537323i \(-0.180564\pi\)
−0.711520 + 0.702666i \(0.751993\pi\)
\(734\) −0.332840 0.576496i −0.0122854 0.0212789i
\(735\) −30.5477 3.13046i −1.12677 0.115469i
\(736\) 2.97535 5.15345i 0.109673 0.189959i
\(737\) 31.0036 4.67304i 1.14203 0.172134i
\(738\) −0.652297 + 1.21473i −0.0240114 + 0.0447147i
\(739\) −1.66706 + 0.514221i −0.0613239 + 0.0189159i −0.325265 0.945623i \(-0.605454\pi\)
0.263941 + 0.964539i \(0.414977\pi\)
\(740\) 23.0968 + 15.7471i 0.849054 + 0.578875i
\(741\) −18.0428 13.9396i −0.662819 0.512083i
\(742\) 2.12822 4.18803i 0.0781293 0.153747i
\(743\) 28.0198 + 19.1036i 1.02795 + 0.700842i 0.955034 0.296496i \(-0.0958183\pi\)
0.0729124 + 0.997338i \(0.476771\pi\)
\(744\) −1.67562 10.0630i −0.0614313 0.368928i
\(745\) 33.2377 + 16.0064i 1.21774 + 0.586431i
\(746\) −0.691672 + 1.76235i −0.0253239 + 0.0645243i
\(747\) −28.6056 24.9477i −1.04663 0.912789i
\(748\) −24.3900 30.5841i −0.891786 1.11826i
\(749\) −0.118871 + 5.56418i −0.00434345 + 0.203311i
\(750\) 2.01606 + 0.755631i 0.0736162 + 0.0275918i
\(751\) −27.7983 13.3870i −1.01437 0.488497i −0.148582 0.988900i \(-0.547471\pi\)
−0.865793 + 0.500403i \(0.833185\pi\)
\(752\) −11.4770 3.54019i −0.418524 0.129098i
\(753\) 19.3248 + 4.09873i 0.704234 + 0.149366i
\(754\) 0.464745 + 0.804963i 0.0169250 + 0.0293150i
\(755\) −7.67546 33.6284i −0.279339 1.22386i
\(756\) −24.8264 11.2050i −0.902926 0.407520i
\(757\) 6.38553 27.9768i 0.232086 1.01683i −0.715820 0.698285i \(-0.753947\pi\)
0.947906 0.318550i \(-0.103196\pi\)
\(758\) 2.37209 0.731694i 0.0861583 0.0265763i
\(759\) −18.2577 + 15.0258i −0.662714 + 0.545401i
\(760\) −2.61668 6.66720i −0.0949171 0.241845i
\(761\) −8.30715 + 36.3960i −0.301134 + 1.31935i 0.567284 + 0.823522i \(0.307994\pi\)
−0.868418 + 0.495832i \(0.834863\pi\)
\(762\) −0.0276853 + 0.00250399i −0.00100293 + 9.07099e-5i
\(763\) 9.39339 9.69966i 0.340064 0.351151i
\(764\) −3.79445 16.6246i −0.137278 0.601456i
\(765\) −4.24880 40.0859i −0.153616 1.44931i
\(766\) −1.11097 1.92426i −0.0401411 0.0695264i
\(767\) −4.36134 19.1083i −0.157479 0.689959i
\(768\) 23.2696 9.54872i 0.839669 0.344560i
\(769\) −41.1029 6.19527i −1.48221 0.223407i −0.642434 0.766341i \(-0.722075\pi\)
−0.839775 + 0.542934i \(0.817313\pi\)
\(770\) 3.20379 1.17906i 0.115456 0.0424905i
\(771\) −3.67947 7.34883i −0.132513 0.264662i
\(772\) 17.3725 16.1193i 0.625249 0.580146i
\(773\) 16.3050 41.5444i 0.586449 1.49425i −0.262051 0.965054i \(-0.584399\pi\)
0.848500 0.529195i \(-0.177506\pi\)
\(774\) −2.78722 3.28238i −0.100184 0.117983i
\(775\) −5.58571 14.2322i −0.200645 0.511234i
\(776\) −0.615956 + 8.21937i −0.0221115 + 0.295058i
\(777\) −22.9339 11.2133i −0.822750 0.402275i
\(778\) −0.211210 2.81840i −0.00757225 0.101045i
\(779\) −15.6956 + 7.55863i −0.562355 + 0.270816i
\(780\) −9.25996 + 20.0111i −0.331560 + 0.716511i
\(781\) −33.3175 + 16.0449i −1.19220 + 0.574131i
\(782\) −2.63428 + 0.397055i −0.0942018 + 0.0141986i
\(783\) −12.6974 + 5.67332i −0.453769 + 0.202748i
\(784\) −17.8618 + 20.5338i −0.637921 + 0.733349i
\(785\) 12.9533 22.4358i 0.462324 0.800769i
\(786\) 1.90751 2.89251i 0.0680385 0.103172i
\(787\) −0.905388 + 12.0816i −0.0322736 + 0.430661i 0.957541 + 0.288298i \(0.0930892\pi\)
−0.989814 + 0.142364i \(0.954530\pi\)
\(788\) −22.8137 21.1680i −0.812703 0.754078i
\(789\) 4.68555 1.14563i 0.166810 0.0407856i
\(790\) 0.0308546 0.0210363i 0.00109776 0.000748438i
\(791\) −22.6801 13.7485i −0.806411 0.488839i
\(792\) 6.08196 0.187374i 0.216113 0.00665805i
\(793\) 7.76226 + 19.7779i 0.275646 + 0.702334i
\(794\) −2.30792 1.11143i −0.0819049 0.0394433i
\(795\) 31.3254 47.5014i 1.11100 1.68470i
\(796\) 1.30288 + 5.70828i 0.0461793 + 0.202325i
\(797\) −10.0883 + 25.7046i −0.357346 + 0.910504i 0.633282 + 0.773921i \(0.281707\pi\)
−0.990629 + 0.136583i \(0.956388\pi\)
\(798\) 1.61067 + 2.82858i 0.0570173 + 0.100131i
\(799\) 5.98762 + 15.2562i 0.211827 + 0.539726i
\(800\) −1.89620 + 1.29281i −0.0670407 + 0.0457076i
\(801\) −28.1976 24.5918i −0.996312 0.868910i
\(802\) −1.78163 3.08588i −0.0629117 0.108966i
\(803\) 15.9338 + 27.5982i 0.562293 + 0.973921i
\(804\) 24.8119 14.8392i 0.875048 0.523339i
\(805\) −4.18189 + 24.2225i −0.147392 + 0.853730i
\(806\) 3.58642 1.10626i 0.126326 0.0389665i
\(807\) 23.5866 2.13327i 0.830286 0.0750948i
\(808\) 2.64851 3.32113i 0.0931744 0.116837i
\(809\) −18.1606 2.73727i −0.638493 0.0962373i −0.178185 0.983997i \(-0.557023\pi\)
−0.460307 + 0.887760i \(0.652261\pi\)
\(810\) 2.68149 + 1.59573i 0.0942178 + 0.0560681i
\(811\) −1.39655 + 6.11870i −0.0490396 + 0.214857i −0.993511 0.113738i \(-0.963718\pi\)
0.944471 + 0.328594i \(0.106575\pi\)
\(812\) 1.79424 + 13.9145i 0.0629653 + 0.488304i
\(813\) 13.2119 + 7.35901i 0.463363 + 0.258092i
\(814\) 2.83807 0.0994743
\(815\) 6.61520 11.4579i 0.231720 0.401351i
\(816\) −31.2111 17.3845i −1.09261 0.608579i
\(817\) −4.06587 54.2553i −0.142247 1.89815i
\(818\) 0.873615 1.09548i 0.0305452 0.0383025i
\(819\) 5.75344 19.2970i 0.201042 0.674290i
\(820\) 10.5041 + 13.1718i 0.366821 + 0.459978i
\(821\) 10.5080 9.74999i 0.366731 0.340277i −0.475184 0.879886i \(-0.657619\pi\)
0.841916 + 0.539609i \(0.181428\pi\)
\(822\) −1.48834 + 2.25689i −0.0519117 + 0.0787181i
\(823\) 40.7989 27.8162i 1.42216 0.969613i 0.424215 0.905561i \(-0.360550\pi\)
0.997947 0.0640519i \(-0.0204023\pi\)
\(824\) 2.65011 3.32313i 0.0923209 0.115767i
\(825\) 8.85838 2.16590i 0.308409 0.0754070i
\(826\) −0.476034 + 2.75729i −0.0165633 + 0.0959385i
\(827\) −19.1638 9.22882i −0.666392 0.320917i 0.0699269 0.997552i \(-0.477723\pi\)
−0.736319 + 0.676635i \(0.763438\pi\)
\(828\) −10.3150 + 19.2089i −0.358471 + 0.667556i
\(829\) 54.9412 16.9471i 1.90819 0.588598i 0.937699 0.347449i \(-0.112952\pi\)
0.970488 0.241148i \(-0.0775241\pi\)
\(830\) 3.95216 1.90326i 0.137181 0.0660631i
\(831\) −4.49279 8.97323i −0.155853 0.311278i
\(832\) 9.58176 + 16.5961i 0.332188 + 0.575366i
\(833\) 37.1030 + 1.58603i 1.28554 + 0.0549527i
\(834\) 0.928623 1.03225i 0.0321556 0.0357439i
\(835\) −17.9119 + 45.6389i −0.619868 + 1.57940i
\(836\) 31.6118 + 21.5525i 1.09332 + 0.745410i
\(837\) 10.9250 + 55.0826i 0.377623 + 1.90393i
\(838\) −0.0299068 + 0.399079i −0.00103311 + 0.0137859i
\(839\) −10.7750 + 7.34628i −0.371995 + 0.253622i −0.734859 0.678220i \(-0.762751\pi\)
0.362864 + 0.931842i \(0.381799\pi\)
\(840\) 4.66247 4.27470i 0.160871 0.147491i
\(841\) −18.0423 12.3010i −0.622147 0.424173i
\(842\) −0.656642 + 0.823403i −0.0226294 + 0.0283763i
\(843\) −39.6818 + 16.2835i −1.36672 + 0.560834i
\(844\) 1.04304 + 1.30793i 0.0359028 + 0.0450207i
\(845\) 15.8860 + 4.90017i 0.546494 + 0.168571i
\(846\) −1.22324 0.336435i −0.0420557 0.0115669i
\(847\) −4.38055 + 6.13913i −0.150517 + 0.210943i
\(848\) −18.4239 46.9434i −0.632680 1.61204i
\(849\) −35.2696 + 14.4729i −1.21045 + 0.496710i
\(850\) 0.981781 + 0.302839i 0.0336748 + 0.0103873i
\(851\) −10.2175 + 17.6972i −0.350251 + 0.606652i
\(852\) −22.8051 + 25.3500i −0.781289 + 0.868476i
\(853\) 25.6695 + 7.91799i 0.878907 + 0.271107i 0.701190 0.712975i \(-0.252653\pi\)
0.177717 + 0.984082i \(0.443129\pi\)
\(854\) 0.0647854 3.03251i 0.00221691 0.103770i
\(855\) 15.5271 + 36.2393i 0.531016 + 1.23936i
\(856\) −0.840391 0.779769i −0.0287240 0.0266520i
\(857\) −25.8499 + 32.4147i −0.883014 + 1.10726i 0.110536 + 0.993872i \(0.464743\pi\)
−0.993550 + 0.113393i \(0.963828\pi\)
\(858\) 0.367696 + 2.20821i 0.0125529 + 0.0753872i
\(859\) −5.46806 + 23.9571i −0.186568 + 0.817407i 0.791841 + 0.610728i \(0.209123\pi\)
−0.978409 + 0.206680i \(0.933734\pi\)
\(860\) −50.2786 + 15.5089i −1.71449 + 0.528849i
\(861\) −11.2158 10.5318i −0.382232 0.358923i
\(862\) −1.73142 0.534071i −0.0589722 0.0181905i
\(863\) 11.5294 19.9694i 0.392464 0.679768i −0.600310 0.799768i \(-0.704956\pi\)
0.992774 + 0.120000i \(0.0382894\pi\)
\(864\) 7.69602 3.43865i 0.261824 0.116985i
\(865\) 17.1033 15.8696i 0.581531 0.539582i
\(866\) 0.156705 + 2.09109i 0.00532506 + 0.0710580i
\(867\) 3.17091 + 19.0431i 0.107690 + 0.646736i
\(868\) 56.3886 + 5.43911i 1.91395 + 0.184615i
\(869\) −0.146448 + 0.373142i −0.00496789 + 0.0126580i
\(870\) −0.0247494 1.60706i −0.000839083 0.0544843i
\(871\) 13.3260 + 16.7102i 0.451533 + 0.566204i
\(872\) 0.207854 + 2.77362i 0.00703882 + 0.0939266i
\(873\) 1.99575 45.3273i 0.0675460 1.53410i
\(874\) 2.34753 1.13051i 0.0794065 0.0382401i
\(875\) −13.9546 + 19.5567i −0.471751 + 0.661137i
\(876\) 23.2532 + 17.9651i 0.785653 + 0.606983i
\(877\) 31.4214 15.1317i 1.06103 0.510963i 0.179821 0.983699i \(-0.442448\pi\)
0.881204 + 0.472737i \(0.156734\pi\)
\(878\) −1.94408 1.80384i −0.0656095 0.0608768i
\(879\) 8.66125 + 9.05100i 0.292137 + 0.305283i
\(880\) 13.3887 34.1137i 0.451332 1.14997i
\(881\) 20.6250 0.694875 0.347438 0.937703i \(-0.387052\pi\)
0.347438 + 0.937703i \(0.387052\pi\)
\(882\) −1.81902 + 2.22601i −0.0612496 + 0.0749537i
\(883\) 49.6840 1.67200 0.836000 0.548730i \(-0.184888\pi\)
0.836000 + 0.548730i \(0.184888\pi\)
\(884\) 9.74225 24.8228i 0.327667 0.834883i
\(885\) −9.48972 + 32.5354i −0.318993 + 1.09367i
\(886\) 0.231810 + 0.215088i 0.00778781 + 0.00722603i
\(887\) 11.9005 5.73097i 0.399579 0.192427i −0.223292 0.974752i \(-0.571680\pi\)
0.622871 + 0.782324i \(0.285966\pi\)
\(888\) 4.86494 1.99634i 0.163257 0.0669927i
\(889\) 0.0527727 0.305671i 0.00176994 0.0102519i
\(890\) 3.89578 1.87611i 0.130587 0.0628873i
\(891\) −33.4311 + 2.06186i −1.11999 + 0.0690750i
\(892\) −1.82714 24.3815i −0.0611771 0.816352i
\(893\) −9.99417 12.5323i −0.334442 0.419377i
\(894\) 2.96393 1.77264i 0.0991288 0.0592858i
\(895\) −6.17737 + 15.7397i −0.206487 + 0.526119i
\(896\) −1.44767 11.2268i −0.0483631 0.375062i
\(897\) −15.0934 5.65709i −0.503954 0.188885i
\(898\) 0.163356 + 2.17983i 0.00545126 + 0.0727420i
\(899\) 21.2034 19.6738i 0.707172 0.656159i
\(900\) 6.79848 4.94852i 0.226616 0.164951i
\(901\) −34.4068 + 59.5943i −1.14626 + 1.98537i
\(902\) 1.63445 + 0.504162i 0.0544213 + 0.0167868i
\(903\) 43.4156 20.5899i 1.44478 0.685191i
\(904\) 5.22051 1.61031i 0.173632 0.0535583i
\(905\) −1.82171 + 7.98145i −0.0605558 + 0.265312i
\(906\) −3.02369 1.13329i −0.100455 0.0376512i
\(907\) −7.93006 + 9.94398i −0.263313 + 0.330185i −0.895859 0.444339i \(-0.853439\pi\)
0.632545 + 0.774523i \(0.282010\pi\)
\(908\) −39.9502 37.0684i −1.32579 1.23016i
\(909\) −14.0091 + 18.7218i −0.464654 + 0.620962i
\(910\) 1.78803 + 1.48948i 0.0592727 + 0.0493759i
\(911\) 33.6267 + 10.3725i 1.11410 + 0.343655i 0.796542 0.604583i \(-0.206660\pi\)
0.317560 + 0.948238i \(0.397137\pi\)
\(912\) 34.1815 + 7.24981i 1.13186 + 0.240065i
\(913\) −23.5431 + 40.7779i −0.779164 + 1.34955i
\(914\) −3.79947 1.17198i −0.125675 0.0387657i
\(915\) 4.91560 36.4087i 0.162505 1.20363i
\(916\) −1.43597 3.65879i −0.0474458 0.120890i
\(917\) 25.6863 + 28.8974i 0.848237 + 0.954276i
\(918\) −3.35175 1.73390i −0.110624 0.0572272i
\(919\) −31.7316 9.78791i −1.04673 0.322873i −0.276750 0.960942i \(-0.589257\pi\)
−0.769980 + 0.638068i \(0.779734\pi\)
\(920\) −3.15698 3.95873i −0.104083 0.130515i
\(921\) −14.3176 11.0616i −0.471781 0.364491i
\(922\) −0.763680 + 0.957625i −0.0251505 + 0.0315377i
\(923\) −20.8280 14.2003i −0.685561 0.467408i
\(924\) −7.71516 + 32.8971i −0.253810 + 1.08224i
\(925\) 6.51163 4.43955i 0.214101 0.145972i
\(926\) −0.216978 + 2.89537i −0.00713034 + 0.0951477i
\(927\) −14.0176 + 18.7330i −0.460398 + 0.615274i
\(928\) −3.58735 2.44581i −0.117760 0.0802877i
\(929\) 19.0341 48.4981i 0.624489 1.59117i −0.171046 0.985263i \(-0.554715\pi\)
0.795535 0.605908i \(-0.207190\pi\)
\(930\) −6.34863 1.34653i −0.208180 0.0441544i
\(931\) −35.1336 + 9.21395i −1.15146 + 0.301975i
\(932\) 2.99552 + 5.18840i 0.0981216 + 0.169952i
\(933\) 18.7928 + 1.11762i 0.615248 + 0.0365891i
\(934\) −4.08583 + 1.96763i −0.133693 + 0.0643830i
\(935\) −47.7851 + 14.7398i −1.56274 + 0.482042i
\(936\) 2.18358 + 3.52662i 0.0713726 + 0.115271i
\(937\) 7.32562 + 3.52783i 0.239317 + 0.115249i 0.549699 0.835363i \(-0.314742\pi\)
−0.310381 + 0.950612i \(0.600457\pi\)
\(938\) −0.836897 2.93426i −0.0273257 0.0958069i
\(939\) 18.3894 + 19.2169i 0.600115 + 0.627119i
\(940\) −9.66514 + 12.1197i −0.315242 + 0.395301i
\(941\) 21.2954 14.5190i 0.694211 0.473305i −0.164094 0.986445i \(-0.552470\pi\)
0.858305 + 0.513140i \(0.171518\pi\)
\(942\) −1.08580 2.16862i −0.0353774 0.0706575i
\(943\) −9.02805 + 8.37681i −0.293994 + 0.272786i
\(944\) 18.7276 + 23.4837i 0.609533 + 0.764330i
\(945\) −24.9283 + 24.3097i −0.810917 + 0.790795i
\(946\) −3.33063 + 4.17648i −0.108288 + 0.135789i
\(947\) −3.26249 43.5349i −0.106017 1.41470i −0.755913 0.654672i \(-0.772807\pi\)
0.649896 0.760023i \(-0.274812\pi\)
\(948\) 0.00569160 + 0.369574i 0.000184855 + 0.0120032i
\(949\) −10.8617 + 18.8131i −0.352587 + 0.610699i
\(950\) −1.00488 −0.0326025
\(951\) 4.05292 2.42392i 0.131425 0.0786010i
\(952\) −5.32179 + 5.49531i −0.172480 + 0.178104i
\(953\) −12.1487 + 53.2271i −0.393536 + 1.72420i 0.258503 + 0.966011i \(0.416771\pi\)
−0.652039 + 0.758185i \(0.726086\pi\)
\(954\) −2.09785 4.89626i −0.0679204 0.158522i
\(955\) −21.5549 3.24888i −0.697501 0.105131i
\(956\) −14.9896 + 18.7963i −0.484797 + 0.607916i
\(957\) 9.93703 + 14.1033i 0.321219 + 0.455896i
\(958\) 4.40738 1.35950i 0.142396 0.0439233i
\(959\) −20.0418 22.5473i −0.647185 0.728090i
\(960\) −0.510263 33.1330i −0.0164687 1.06936i
\(961\) −42.8973 74.3003i −1.38378 2.39678i
\(962\) 0.967324 + 1.67545i 0.0311878 + 0.0540188i
\(963\) 4.75600 + 4.14783i 0.153260 + 0.133662i
\(964\) 18.1724 12.3897i 0.585292 0.399045i
\(965\) −11.0681 28.2010i −0.356294 0.907822i
\(966\) 1.67749 + 1.57520i 0.0539725 + 0.0506812i
\(967\) −1.57887 + 4.02290i −0.0507731 + 0.129368i −0.954010 0.299774i \(-0.903089\pi\)
0.903237 + 0.429142i \(0.141184\pi\)
\(968\) −0.345693 1.51458i −0.0111110 0.0486804i
\(969\) −21.3466 42.6346i −0.685753 1.36962i
\(970\) 4.72424 + 2.27508i 0.151686 + 0.0730483i
\(971\) −11.2936 28.7757i −0.362430 0.923457i −0.989505 0.144498i \(-0.953843\pi\)
0.627075 0.778959i \(-0.284252\pi\)
\(972\) −27.7967 + 13.4615i −0.891581 + 0.431778i
\(973\) 8.45247 + 12.9850i 0.270974 + 0.416279i
\(974\) −2.71633 + 1.85196i −0.0870367 + 0.0593406i
\(975\) 4.29792 + 4.49132i 0.137643 + 0.143837i
\(976\) −23.8688 22.1470i −0.764020 0.708907i
\(977\) 1.78365 23.8012i 0.0570641 0.761468i −0.893128 0.449803i \(-0.851494\pi\)
0.950192 0.311665i \(-0.100887\pi\)
\(978\) −0.554514 1.10750i −0.0177314 0.0354140i
\(979\) −23.2073 + 40.1962i −0.741708 + 1.28468i
\(980\) 16.2478 + 31.1423i 0.519017 + 0.994804i
\(981\) −1.61376 15.2252i −0.0515233 0.486103i
\(982\) 1.04898 0.158108i 0.0334742 0.00504542i
\(983\) −0.844224 + 0.406557i −0.0269266 + 0.0129672i −0.447299 0.894385i \(-0.647614\pi\)
0.420372 + 0.907352i \(0.361900\pi\)
\(984\) 3.15637 0.285476i 0.100621 0.00910065i
\(985\) −35.8441 + 17.2616i −1.14209 + 0.550000i
\(986\) 0.145257 + 1.93832i 0.00462592 + 0.0617286i
\(987\) 7.15125 12.2175i 0.227627 0.388889i
\(988\) −1.94903 + 26.0079i −0.0620067 + 0.827423i
\(989\) −14.0523 35.8046i −0.446836 1.13852i
\(990\) 1.30259 3.64521i 0.0413989 0.115852i
\(991\) 12.0155 30.6150i 0.381686 0.972519i −0.602932 0.797793i \(-0.706001\pi\)
0.984617 0.174726i \(-0.0559039\pi\)
\(992\) −12.8515 + 11.9245i −0.408037 + 0.378603i
\(993\) −24.3145 + 36.8702i −0.771599 + 1.17004i
\(994\) 1.96329 + 3.01606i 0.0622717 + 0.0956637i
\(995\) 7.40120 + 1.11555i 0.234634 + 0.0353654i
\(996\) −5.80916 + 43.0270i −0.184070 + 1.36336i
\(997\) 4.92742 + 21.5884i 0.156053 + 0.683712i 0.991054 + 0.133464i \(0.0426099\pi\)
−0.835001 + 0.550249i \(0.814533\pi\)
\(998\) 2.15562 + 3.73364i 0.0682349 + 0.118186i
\(999\) −26.4285 + 11.8085i −0.836160 + 0.373604i
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.142.28 yes 648
9.4 even 3 441.2.y.a.436.28 yes 648
49.39 even 21 441.2.y.a.88.28 648
441.382 even 21 inner 441.2.z.a.382.28 yes 648
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
441.2.y.a.88.28 648 49.39 even 21
441.2.y.a.436.28 yes 648 9.4 even 3
441.2.z.a.142.28 yes 648 1.1 even 1 trivial
441.2.z.a.382.28 yes 648 441.382 even 21 inner