Properties

Label 441.2.ba.a.22.11
Level $441$
Weight $2$
Character 441.22
Analytic conductor $3.521$
Analytic rank $0$
Dimension $648$
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] = [441,2,Mod(22,441)]
 
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, 24]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("441.22");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 441 = 3^{2} \cdot 7^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 441.ba (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 22.11
Character \(\chi\) \(=\) 441.22
Dual form 441.2.ba.a.421.11

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-1.53495 - 1.04651i) q^{2} +(1.72901 - 0.102560i) q^{3} +(0.530198 + 1.35092i) q^{4} +(-0.256118 - 0.237642i) q^{5} +(-2.76127 - 1.65200i) q^{6} +(-0.648127 - 2.56514i) q^{7} +(-0.226850 + 0.993895i) q^{8} +(2.97896 - 0.354656i) q^{9} +O(q^{10})\) \(q+(-1.53495 - 1.04651i) q^{2} +(1.72901 - 0.102560i) q^{3} +(0.530198 + 1.35092i) q^{4} +(-0.256118 - 0.237642i) q^{5} +(-2.76127 - 1.65200i) q^{6} +(-0.648127 - 2.56514i) q^{7} +(-0.226850 + 0.993895i) q^{8} +(2.97896 - 0.354656i) q^{9} +(0.144432 + 0.632798i) q^{10} +(1.30285 + 0.888265i) q^{11} +(1.05527 + 2.28139i) q^{12} +(0.356859 - 4.76195i) q^{13} +(-1.68960 + 4.61562i) q^{14} +(-0.467203 - 0.384619i) q^{15} +(3.51600 - 3.26237i) q^{16} +(-1.86232 - 2.33527i) q^{17} +(-4.94370 - 2.57313i) q^{18} -5.72422 q^{19} +(0.185244 - 0.471993i) q^{20} +(-1.38370 - 4.36868i) q^{21} +(-1.07022 - 2.72688i) q^{22} +(2.98577 + 7.60762i) q^{23} +(-0.290292 + 1.74172i) q^{24} +(-0.364528 - 4.86429i) q^{25} +(-5.53119 + 6.93589i) q^{26} +(5.11429 - 0.918728i) q^{27} +(3.12167 - 2.23560i) q^{28} +(3.21861 - 8.20088i) q^{29} +(0.314624 + 1.07930i) q^{30} +(2.12386 - 3.67864i) q^{31} +(-6.79482 + 1.02416i) q^{32} +(2.34374 + 1.40220i) q^{33} +(0.414674 + 5.53344i) q^{34} +(-0.443589 + 0.810999i) q^{35} +(2.05855 + 3.83631i) q^{36} +(4.53571 + 5.68760i) q^{37} +(8.78638 + 5.99045i) q^{38} +(0.128626 - 8.27007i) q^{39} +(0.294292 - 0.200645i) q^{40} +(-6.84695 - 6.35304i) q^{41} +(-2.44796 + 8.15375i) q^{42} +(-0.113390 + 0.105211i) q^{43} +(-0.509212 + 2.23100i) q^{44} +(-0.847246 - 0.617094i) q^{45} +(3.37844 - 14.8019i) q^{46} +(-1.35238 - 0.922039i) q^{47} +(5.74461 - 6.00127i) q^{48} +(-6.15986 + 3.32507i) q^{49} +(-4.53099 + 7.84791i) q^{50} +(-3.45947 - 3.84671i) q^{51} +(6.62224 - 2.04269i) q^{52} +(-7.90842 + 9.91685i) q^{53} +(-8.81162 - 3.94195i) q^{54} +(-0.122592 - 0.537111i) q^{55} +(2.69651 - 0.0622684i) q^{56} +(-9.89725 + 0.587078i) q^{57} +(-13.5227 + 9.21961i) q^{58} +(-2.05113 - 0.632691i) q^{59} +(0.271881 - 0.835080i) q^{60} +(-1.30334 + 3.32086i) q^{61} +(-7.10975 + 3.42388i) q^{62} +(-2.84049 - 7.41159i) q^{63} +(2.85870 + 1.37668i) q^{64} +(-1.22304 + 1.13482i) q^{65} +(-2.13009 - 4.60504i) q^{66} +(6.30825 - 10.9262i) q^{67} +(2.16737 - 3.75400i) q^{68} +(5.94267 + 12.8474i) q^{69} +(1.52960 - 0.780621i) q^{70} +(0.856514 - 1.07403i) q^{71} +(-0.323287 + 3.04123i) q^{72} +(10.1905 + 4.90747i) q^{73} +(-1.00995 - 13.4768i) q^{74} +(-1.12916 - 8.37303i) q^{75} +(-3.03497 - 7.73299i) q^{76} +(1.43411 - 3.91769i) q^{77} +(-8.85214 + 12.5595i) q^{78} +(3.81292 + 6.60417i) q^{79} -1.67578 q^{80} +(8.74844 - 2.11301i) q^{81} +(3.86119 + 16.9170i) q^{82} +(0.0253718 + 0.338563i) q^{83} +(5.16812 - 4.18554i) q^{84} +(-0.0779873 + 1.04067i) q^{85} +(0.284152 - 0.0428291i) q^{86} +(4.72392 - 14.5095i) q^{87} +(-1.17839 + 1.09339i) q^{88} +(3.55325 + 1.71116i) q^{89} +(0.654683 + 1.83386i) q^{90} +(-12.4464 + 2.17096i) q^{91} +(-8.69426 + 8.06709i) q^{92} +(3.29490 - 6.57824i) q^{93} +(1.11091 + 2.83056i) q^{94} +(1.46607 + 1.36032i) q^{95} +(-11.6433 + 2.46766i) q^{96} +(3.25149 + 5.63175i) q^{97} +(12.9348 + 1.34255i) q^{98} +(4.19616 + 2.18405i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 648 q - 5 q^{2} - 10 q^{3} + 47 q^{4} - 9 q^{5} - 34 q^{6} - 7 q^{7} - 28 q^{8}+O(q^{10}) \) Copy content Toggle raw display \( 648 q - 5 q^{2} - 10 q^{3} + 47 q^{4} - 9 q^{5} - 34 q^{6} - 7 q^{7} - 28 q^{8} - 28 q^{10} - 5 q^{11} + 5 q^{12} - 7 q^{13} - 38 q^{14} - 22 q^{15} + 47 q^{16} - 16 q^{17} - 46 q^{18} - 44 q^{19} - 29 q^{20} - 12 q^{21} - 13 q^{22} - 20 q^{23} - 2 q^{24} + 41 q^{25} - 20 q^{26} - 13 q^{27} - 28 q^{28} - 35 q^{29} - 6 q^{30} - 20 q^{31} - 25 q^{32} - 22 q^{33} - q^{34} - 44 q^{35} - 28 q^{36} - 30 q^{37} - 7 q^{38} - 8 q^{39} + 5 q^{40} - 29 q^{41} - 104 q^{42} - 13 q^{43} - 88 q^{44} + 63 q^{45} + 32 q^{46} - 55 q^{47} - 14 q^{48} - q^{49} + 6 q^{50} - 18 q^{51} + 3 q^{52} - 136 q^{53} + 30 q^{54} - 100 q^{55} + 145 q^{56} - 96 q^{57} + 17 q^{58} - 19 q^{59} + 118 q^{60} + 42 q^{61} + 96 q^{62} - 6 q^{63} - 124 q^{64} - 11 q^{65} + 120 q^{66} - 26 q^{67} + 166 q^{68} - 134 q^{69} - 7 q^{70} - 22 q^{71} + 32 q^{72} + 8 q^{73} - 45 q^{74} - 36 q^{75} - 41 q^{76} + q^{77} - 18 q^{78} - 26 q^{79} - 440 q^{80} + 64 q^{81} - 28 q^{82} + 61 q^{83} - 86 q^{84} + 5 q^{85} + 15 q^{86} + 34 q^{87} - q^{88} + 22 q^{89} + 96 q^{90} - 16 q^{91} - 43 q^{92} - 110 q^{93} - q^{94} - 38 q^{95} - 165 q^{96} - 14 q^{97} - 144 q^{98} - 196 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

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

\(n\) \(199\) \(344\)
\(\chi(n)\) \(e\left(\frac{4}{7}\right)\) \(e\left(\frac{1}{3}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.53495 1.04651i −1.08537 0.739994i −0.117913 0.993024i \(-0.537620\pi\)
−0.967458 + 0.253030i \(0.918573\pi\)
\(3\) 1.72901 0.102560i 0.998245 0.0592132i
\(4\) 0.530198 + 1.35092i 0.265099 + 0.675462i
\(5\) −0.256118 0.237642i −0.114539 0.106277i 0.620824 0.783950i \(-0.286798\pi\)
−0.735363 + 0.677673i \(0.762989\pi\)
\(6\) −2.76127 1.65200i −1.12728 0.674427i
\(7\) −0.648127 2.56514i −0.244969 0.969531i
\(8\) −0.226850 + 0.993895i −0.0802036 + 0.351395i
\(9\) 2.97896 0.354656i 0.992988 0.118219i
\(10\) 0.144432 + 0.632798i 0.0456734 + 0.200108i
\(11\) 1.30285 + 0.888265i 0.392823 + 0.267822i 0.743583 0.668643i \(-0.233125\pi\)
−0.350761 + 0.936465i \(0.614077\pi\)
\(12\) 1.05527 + 2.28139i 0.304630 + 0.658579i
\(13\) 0.356859 4.76195i 0.0989749 1.32073i −0.697730 0.716360i \(-0.745807\pi\)
0.796705 0.604368i \(-0.206574\pi\)
\(14\) −1.68960 + 4.61562i −0.451564 + 1.23358i
\(15\) −0.467203 0.384619i −0.120631 0.0993082i
\(16\) 3.51600 3.26237i 0.878999 0.815592i
\(17\) −1.86232 2.33527i −0.451678 0.566386i 0.502901 0.864344i \(-0.332266\pi\)
−0.954579 + 0.297958i \(0.903695\pi\)
\(18\) −4.94370 2.57313i −1.16524 0.606493i
\(19\) −5.72422 −1.31323 −0.656613 0.754227i \(-0.728012\pi\)
−0.656613 + 0.754227i \(0.728012\pi\)
\(20\) 0.185244 0.471993i 0.0414217 0.105541i
\(21\) −1.38370 4.36868i −0.301948 0.953324i
\(22\) −1.07022 2.72688i −0.228172 0.581373i
\(23\) 2.98577 + 7.60762i 0.622576 + 1.58630i 0.798567 + 0.601906i \(0.205592\pi\)
−0.175991 + 0.984392i \(0.556313\pi\)
\(24\) −0.290292 + 1.74172i −0.0592557 + 0.355528i
\(25\) −0.364528 4.86429i −0.0729056 0.972858i
\(26\) −5.53119 + 6.93589i −1.08476 + 1.36024i
\(27\) 5.11429 0.918728i 0.984245 0.176809i
\(28\) 3.12167 2.23560i 0.589940 0.422489i
\(29\) 3.21861 8.20088i 0.597680 1.52286i −0.236647 0.971596i \(-0.576049\pi\)
0.834328 0.551269i \(-0.185856\pi\)
\(30\) 0.314624 + 1.07930i 0.0574423 + 0.197053i
\(31\) 2.12386 3.67864i 0.381457 0.660704i −0.609813 0.792545i \(-0.708756\pi\)
0.991271 + 0.131841i \(0.0420890\pi\)
\(32\) −6.79482 + 1.02416i −1.20117 + 0.181047i
\(33\) 2.34374 + 1.40220i 0.407992 + 0.244092i
\(34\) 0.414674 + 5.53344i 0.0711161 + 0.948978i
\(35\) −0.443589 + 0.810999i −0.0749802 + 0.137084i
\(36\) 2.05855 + 3.83631i 0.343092 + 0.639386i
\(37\) 4.53571 + 5.68760i 0.745666 + 0.935036i 0.999481 0.0322171i \(-0.0102568\pi\)
−0.253815 + 0.967253i \(0.581685\pi\)
\(38\) 8.78638 + 5.99045i 1.42534 + 0.971779i
\(39\) 0.128626 8.27007i 0.0205967 1.32427i
\(40\) 0.294292 0.200645i 0.0465316 0.0317247i
\(41\) −6.84695 6.35304i −1.06931 0.992178i −0.0693279 0.997594i \(-0.522085\pi\)
−0.999985 + 0.00541625i \(0.998276\pi\)
\(42\) −2.44796 + 8.15375i −0.377728 + 1.25815i
\(43\) −0.113390 + 0.105211i −0.0172919 + 0.0160445i −0.688771 0.724979i \(-0.741850\pi\)
0.671479 + 0.741023i \(0.265659\pi\)
\(44\) −0.509212 + 2.23100i −0.0767665 + 0.336336i
\(45\) −0.847246 0.617094i −0.126300 0.0919910i
\(46\) 3.37844 14.8019i 0.498124 2.18242i
\(47\) −1.35238 0.922039i −0.197265 0.134493i 0.460659 0.887577i \(-0.347613\pi\)
−0.657925 + 0.753084i \(0.728565\pi\)
\(48\) 5.74461 6.00127i 0.829163 0.866209i
\(49\) −6.15986 + 3.32507i −0.879980 + 0.475010i
\(50\) −4.53099 + 7.84791i −0.640779 + 1.10986i
\(51\) −3.45947 3.84671i −0.484423 0.538647i
\(52\) 6.62224 2.04269i 0.918340 0.283270i
\(53\) −7.90842 + 9.91685i −1.08631 + 1.36218i −0.159259 + 0.987237i \(0.550911\pi\)
−0.927046 + 0.374947i \(0.877661\pi\)
\(54\) −8.81162 3.94195i −1.19911 0.536431i
\(55\) −0.122592 0.537111i −0.0165303 0.0724241i
\(56\) 2.69651 0.0622684i 0.360336 0.00832097i
\(57\) −9.89725 + 0.587078i −1.31092 + 0.0777604i
\(58\) −13.5227 + 9.21961i −1.77561 + 1.21059i
\(59\) −2.05113 0.632691i −0.267035 0.0823694i 0.158346 0.987384i \(-0.449384\pi\)
−0.425381 + 0.905014i \(0.639860\pi\)
\(60\) 0.271881 0.835080i 0.0350996 0.107808i
\(61\) −1.30334 + 3.32086i −0.166876 + 0.425193i −0.989710 0.143089i \(-0.954297\pi\)
0.822834 + 0.568282i \(0.192392\pi\)
\(62\) −7.10975 + 3.42388i −0.902939 + 0.434833i
\(63\) −2.84049 7.41159i −0.357868 0.933772i
\(64\) 2.85870 + 1.37668i 0.357338 + 0.172085i
\(65\) −1.22304 + 1.13482i −0.151699 + 0.140756i
\(66\) −2.13009 4.60504i −0.262196 0.566842i
\(67\) 6.30825 10.9262i 0.770676 1.33485i −0.166517 0.986039i \(-0.553252\pi\)
0.937193 0.348811i \(-0.113415\pi\)
\(68\) 2.16737 3.75400i 0.262833 0.455240i
\(69\) 5.94267 + 12.8474i 0.715413 + 1.54665i
\(70\) 1.52960 0.780621i 0.182823 0.0933020i
\(71\) 0.856514 1.07403i 0.101650 0.127464i −0.728405 0.685147i \(-0.759738\pi\)
0.830054 + 0.557683i \(0.188309\pi\)
\(72\) −0.323287 + 3.04123i −0.0380998 + 0.358412i
\(73\) 10.1905 + 4.90747i 1.19270 + 0.574376i 0.921588 0.388170i \(-0.126893\pi\)
0.271117 + 0.962546i \(0.412607\pi\)
\(74\) −1.00995 13.4768i −0.117404 1.56665i
\(75\) −1.12916 8.37303i −0.130384 0.966834i
\(76\) −3.03497 7.73299i −0.348135 0.887034i
\(77\) 1.43411 3.91769i 0.163432 0.446462i
\(78\) −8.85214 + 12.5595i −1.00231 + 1.42209i
\(79\) 3.81292 + 6.60417i 0.428987 + 0.743028i 0.996783 0.0801415i \(-0.0255372\pi\)
−0.567796 + 0.823169i \(0.692204\pi\)
\(80\) −1.67578 −0.187358
\(81\) 8.74844 2.11301i 0.972049 0.234779i
\(82\) 3.86119 + 16.9170i 0.426397 + 1.86817i
\(83\) 0.0253718 + 0.338563i 0.00278492 + 0.0371621i 0.998423 0.0561361i \(-0.0178781\pi\)
−0.995638 + 0.0932982i \(0.970259\pi\)
\(84\) 5.16812 4.18554i 0.563888 0.456680i
\(85\) −0.0779873 + 1.04067i −0.00845891 + 0.112876i
\(86\) 0.284152 0.0428291i 0.0306409 0.00461838i
\(87\) 4.72392 14.5095i 0.506458 1.55558i
\(88\) −1.17839 + 1.09339i −0.125617 + 0.116556i
\(89\) 3.55325 + 1.71116i 0.376644 + 0.181382i 0.612622 0.790376i \(-0.290115\pi\)
−0.235978 + 0.971758i \(0.575829\pi\)
\(90\) 0.654683 + 1.83386i 0.0690096 + 0.193305i
\(91\) −12.4464 + 2.17096i −1.30473 + 0.227578i
\(92\) −8.69426 + 8.06709i −0.906439 + 0.841053i
\(93\) 3.29490 6.57824i 0.341666 0.682132i
\(94\) 1.11091 + 2.83056i 0.114582 + 0.291950i
\(95\) 1.46607 + 1.36032i 0.150416 + 0.139566i
\(96\) −11.6433 + 2.46766i −1.18834 + 0.251854i
\(97\) 3.25149 + 5.63175i 0.330139 + 0.571818i 0.982539 0.186057i \(-0.0595710\pi\)
−0.652400 + 0.757875i \(0.726238\pi\)
\(98\) 12.9348 + 1.34255i 1.30661 + 0.135618i
\(99\) 4.19616 + 2.18405i 0.421730 + 0.219505i
\(100\) 6.37801 3.07149i 0.637801 0.307149i
\(101\) 17.5878 5.42513i 1.75006 0.539821i 0.756584 0.653897i \(-0.226867\pi\)
0.993472 + 0.114076i \(0.0363907\pi\)
\(102\) 1.28449 + 9.52486i 0.127183 + 0.943102i
\(103\) 12.3426 + 11.4522i 1.21615 + 1.12842i 0.987945 + 0.154808i \(0.0494758\pi\)
0.228204 + 0.973613i \(0.426715\pi\)
\(104\) 4.65193 + 1.43493i 0.456159 + 0.140707i
\(105\) −0.683794 + 1.44772i −0.0667314 + 0.141283i
\(106\) 22.5171 6.94560i 2.18705 0.674616i
\(107\) 10.9279 + 5.26260i 1.05644 + 0.508754i 0.879713 0.475506i \(-0.157735\pi\)
0.176727 + 0.984260i \(0.443449\pi\)
\(108\) 3.95272 + 6.42190i 0.380351 + 0.617948i
\(109\) −11.7011 + 5.63497i −1.12077 + 0.539733i −0.900129 0.435623i \(-0.856528\pi\)
−0.220637 + 0.975356i \(0.570814\pi\)
\(110\) −0.373919 + 0.952731i −0.0356518 + 0.0908394i
\(111\) 8.42562 + 9.36874i 0.799724 + 0.889242i
\(112\) −10.6472 6.90458i −1.00607 0.652422i
\(113\) 0.790649 0.539056i 0.0743780 0.0507101i −0.525560 0.850756i \(-0.676144\pi\)
0.599938 + 0.800046i \(0.295192\pi\)
\(114\) 15.8061 + 9.45642i 1.48038 + 0.885675i
\(115\) 1.04318 2.65799i 0.0972774 0.247859i
\(116\) 12.7853 1.18708
\(117\) −0.625785 14.3122i −0.0578539 1.32317i
\(118\) 2.48626 + 3.11768i 0.228879 + 0.287005i
\(119\) −4.78327 + 6.29065i −0.438482 + 0.576663i
\(120\) 0.488256 0.377100i 0.0445715 0.0344243i
\(121\) −3.11036 7.92507i −0.282760 0.720461i
\(122\) 5.47588 3.73339i 0.495763 0.338005i
\(123\) −12.4900 10.2823i −1.12619 0.927119i
\(124\) 6.09563 + 0.918769i 0.547404 + 0.0825079i
\(125\) −2.15179 + 2.69826i −0.192462 + 0.241340i
\(126\) −3.39630 + 14.3490i −0.302566 + 1.27831i
\(127\) 8.54348 + 10.7132i 0.758111 + 0.950641i 0.999806 0.0197114i \(-0.00627473\pi\)
−0.241695 + 0.970352i \(0.577703\pi\)
\(128\) 3.92432 + 6.79713i 0.346864 + 0.600787i
\(129\) −0.185263 + 0.193540i −0.0163115 + 0.0170403i
\(130\) 3.06490 0.461959i 0.268809 0.0405165i
\(131\) −2.57810 0.795239i −0.225250 0.0694804i 0.180076 0.983653i \(-0.442366\pi\)
−0.405326 + 0.914172i \(0.632842\pi\)
\(132\) −0.651620 + 3.90965i −0.0567163 + 0.340292i
\(133\) 3.71002 + 14.6834i 0.321700 + 1.27321i
\(134\) −21.1172 + 10.1695i −1.82425 + 0.878512i
\(135\) −1.52819 0.980069i −0.131525 0.0843509i
\(136\) 2.74348 1.32119i 0.235251 0.113291i
\(137\) −10.0297 + 9.30618i −0.856893 + 0.795081i −0.980349 0.197269i \(-0.936793\pi\)
0.123456 + 0.992350i \(0.460602\pi\)
\(138\) 4.32328 25.9392i 0.368022 2.20809i
\(139\) 3.70679 + 3.43940i 0.314406 + 0.291726i 0.821551 0.570134i \(-0.193109\pi\)
−0.507146 + 0.861860i \(0.669299\pi\)
\(140\) −1.33079 0.169264i −0.112472 0.0143054i
\(141\) −2.43285 1.45552i −0.204883 0.122576i
\(142\) −2.43869 + 0.752236i −0.204650 + 0.0631263i
\(143\) 4.69481 5.88710i 0.392600 0.492304i
\(144\) 9.31700 10.9654i 0.776417 0.913787i
\(145\) −2.77322 + 1.33551i −0.230303 + 0.110908i
\(146\) −10.5061 18.1971i −0.869492 1.50600i
\(147\) −10.3095 + 6.38084i −0.850310 + 0.526283i
\(148\) −5.27869 + 9.14296i −0.433905 + 0.751546i
\(149\) −0.924224 + 12.3329i −0.0757153 + 1.01035i 0.821917 + 0.569607i \(0.192905\pi\)
−0.897633 + 0.440744i \(0.854715\pi\)
\(150\) −7.02925 + 14.0338i −0.573936 + 1.14586i
\(151\) 7.05365 + 1.06317i 0.574018 + 0.0865193i 0.429635 0.903003i \(-0.358642\pi\)
0.144383 + 0.989522i \(0.453880\pi\)
\(152\) 1.29854 5.68928i 0.105326 0.461461i
\(153\) −6.37599 6.29620i −0.515468 0.509018i
\(154\) −6.30118 + 4.51263i −0.507764 + 0.363638i
\(155\) −1.41816 + 0.437444i −0.113909 + 0.0351364i
\(156\) 11.2404 4.21102i 0.899955 0.337151i
\(157\) 4.53422 + 1.39862i 0.361870 + 0.111622i 0.470358 0.882476i \(-0.344125\pi\)
−0.108488 + 0.994098i \(0.534601\pi\)
\(158\) 1.05870 14.1273i 0.0842253 1.12391i
\(159\) −12.6567 + 17.9574i −1.00374 + 1.42412i
\(160\) 1.98366 + 1.35243i 0.156822 + 0.106919i
\(161\) 17.5794 12.5896i 1.38545 0.992200i
\(162\) −15.6397 5.91196i −1.22877 0.464487i
\(163\) −3.93048 17.2206i −0.307859 1.34882i −0.857958 0.513720i \(-0.828267\pi\)
0.550099 0.835099i \(-0.314590\pi\)
\(164\) 4.95223 12.6181i 0.386704 0.985306i
\(165\) −0.267050 0.916099i −0.0207898 0.0713182i
\(166\) 0.315365 0.546228i 0.0244771 0.0423955i
\(167\) 7.22208 1.08855i 0.558861 0.0842348i 0.136463 0.990645i \(-0.456426\pi\)
0.422398 + 0.906410i \(0.361188\pi\)
\(168\) 4.65590 0.384217i 0.359211 0.0296430i
\(169\) −9.69406 1.46114i −0.745697 0.112396i
\(170\) 1.20878 1.51576i 0.0927088 0.116253i
\(171\) −17.0522 + 2.03013i −1.30402 + 0.155248i
\(172\) −0.202251 0.0973990i −0.0154215 0.00742661i
\(173\) −11.8319 1.78337i −0.899562 0.135587i −0.317050 0.948409i \(-0.602692\pi\)
−0.582513 + 0.812822i \(0.697930\pi\)
\(174\) −22.4353 + 17.3277i −1.70082 + 1.31361i
\(175\) −12.2413 + 4.08774i −0.925356 + 0.309004i
\(176\) 7.47864 1.12722i 0.563724 0.0849677i
\(177\) −3.61132 0.883565i −0.271444 0.0664128i
\(178\) −3.66331 6.34504i −0.274577 0.475581i
\(179\) 9.31938 + 11.6861i 0.696563 + 0.873463i 0.996762 0.0804143i \(-0.0256243\pi\)
−0.300198 + 0.953877i \(0.597053\pi\)
\(180\) 0.384439 1.47175i 0.0286544 0.109698i
\(181\) 10.4551 + 5.03491i 0.777121 + 0.374242i 0.780020 0.625754i \(-0.215209\pi\)
−0.00289936 + 0.999996i \(0.500923\pi\)
\(182\) 21.3764 + 9.69292i 1.58453 + 0.718487i
\(183\) −1.91291 + 5.87548i −0.141406 + 0.434328i
\(184\) −8.23850 + 1.24175i −0.607350 + 0.0915433i
\(185\) 0.189940 2.53457i 0.0139647 0.186345i
\(186\) −11.9417 + 6.64910i −0.875607 + 0.487536i
\(187\) −0.351971 4.69673i −0.0257387 0.343459i
\(188\) 0.528573 2.31583i 0.0385501 0.168899i
\(189\) −5.67137 12.5234i −0.412531 0.910943i
\(190\) −0.826760 3.62227i −0.0599795 0.262787i
\(191\) 0.138697 0.0427824i 0.0100358 0.00309562i −0.289733 0.957107i \(-0.593567\pi\)
0.299769 + 0.954012i \(0.403090\pi\)
\(192\) 5.08393 + 2.08710i 0.366901 + 0.150624i
\(193\) 8.12363 + 7.53763i 0.584752 + 0.542570i 0.916106 0.400936i \(-0.131315\pi\)
−0.331354 + 0.943506i \(0.607506\pi\)
\(194\) 0.902809 12.0472i 0.0648179 0.864935i
\(195\) −1.99826 + 2.08754i −0.143099 + 0.149492i
\(196\) −7.75786 6.55856i −0.554133 0.468468i
\(197\) 15.8596 1.12995 0.564973 0.825109i \(-0.308886\pi\)
0.564973 + 0.825109i \(0.308886\pi\)
\(198\) −4.15525 7.74371i −0.295301 0.550322i
\(199\) 0.112409 0.492497i 0.00796848 0.0349122i −0.970787 0.239941i \(-0.922872\pi\)
0.978756 + 0.205029i \(0.0657289\pi\)
\(200\) 4.91729 + 0.741162i 0.347705 + 0.0524081i
\(201\) 9.78645 19.5385i 0.690283 1.37814i
\(202\) −32.6739 10.0785i −2.29892 0.709124i
\(203\) −23.1224 2.94096i −1.62288 0.206415i
\(204\) 3.36240 6.71300i 0.235415 0.470004i
\(205\) 0.243872 + 3.25425i 0.0170328 + 0.227287i
\(206\) −6.96032 30.4952i −0.484948 2.12470i
\(207\) 11.5926 + 21.6039i 0.805740 + 1.50157i
\(208\) −14.2805 17.9072i −0.990176 1.24164i
\(209\) −7.45778 5.08463i −0.515865 0.351711i
\(210\) 2.56464 1.50658i 0.176977 0.103964i
\(211\) 10.2798 7.00862i 0.707688 0.482494i −0.155204 0.987883i \(-0.549603\pi\)
0.862892 + 0.505389i \(0.168651\pi\)
\(212\) −17.5899 5.42578i −1.20808 0.372644i
\(213\) 1.37077 1.94486i 0.0939236 0.133260i
\(214\) −11.2664 19.5139i −0.770154 1.33395i
\(215\) 0.0540438 0.00368576
\(216\) −0.247058 + 5.29148i −0.0168101 + 0.360040i
\(217\) −10.8128 3.06378i −0.734018 0.207983i
\(218\) 23.8577 + 3.59597i 1.61585 + 0.243550i
\(219\) 18.1228 + 7.43994i 1.22462 + 0.502744i
\(220\) 0.660598 0.450388i 0.0445375 0.0303652i
\(221\) −11.7850 + 8.03490i −0.792747 + 0.540486i
\(222\) −3.12840 23.1980i −0.209964 1.55695i
\(223\) −16.0869 2.42472i −1.07726 0.162371i −0.413641 0.910440i \(-0.635743\pi\)
−0.663621 + 0.748069i \(0.730981\pi\)
\(224\) 7.03101 + 16.7659i 0.469779 + 1.12022i
\(225\) −2.81107 14.3613i −0.187404 0.957417i
\(226\) −1.77773 −0.118253
\(227\) 0.821815 + 1.42343i 0.0545458 + 0.0944761i 0.892009 0.452018i \(-0.149296\pi\)
−0.837463 + 0.546494i \(0.815962\pi\)
\(228\) −6.04060 13.0592i −0.400049 0.864864i
\(229\) −1.22337 0.377360i −0.0808426 0.0249366i 0.254070 0.967186i \(-0.418231\pi\)
−0.334913 + 0.942249i \(0.608707\pi\)
\(230\) −4.38284 + 2.98817i −0.288996 + 0.197034i
\(231\) 2.07780 6.92081i 0.136709 0.455356i
\(232\) 7.42067 + 5.05933i 0.487191 + 0.332161i
\(233\) 3.65789 + 4.58684i 0.239636 + 0.300494i 0.887077 0.461622i \(-0.152732\pi\)
−0.647441 + 0.762116i \(0.724161\pi\)
\(234\) −14.0173 + 22.6234i −0.916343 + 1.47894i
\(235\) 0.127253 + 0.557534i 0.00830110 + 0.0363695i
\(236\) −0.232791 3.10638i −0.0151534 0.202208i
\(237\) 7.26991 + 11.0276i 0.472232 + 0.716322i
\(238\) 13.9253 4.65007i 0.902642 0.301419i
\(239\) −5.90912 1.82272i −0.382229 0.117902i 0.0976855 0.995217i \(-0.468856\pi\)
−0.479914 + 0.877315i \(0.659332\pi\)
\(240\) −2.89745 + 0.171869i −0.187030 + 0.0110941i
\(241\) −28.5479 4.30291i −1.83893 0.277175i −0.864630 0.502409i \(-0.832447\pi\)
−0.974305 + 0.225234i \(0.927685\pi\)
\(242\) −3.51942 + 15.4196i −0.226237 + 0.991208i
\(243\) 14.9094 4.55067i 0.956441 0.291925i
\(244\) −5.17726 −0.331440
\(245\) 2.36783 + 0.612236i 0.151275 + 0.0391143i
\(246\) 8.41105 + 28.8536i 0.536269 + 1.83964i
\(247\) −2.04274 + 27.2585i −0.129977 + 1.73442i
\(248\) 3.17439 + 2.94540i 0.201574 + 0.187033i
\(249\) 0.0785912 + 0.582777i 0.00498052 + 0.0369320i
\(250\) 6.12664 1.88982i 0.387482 0.119523i
\(251\) −4.03716 17.6879i −0.254823 1.11645i −0.926704 0.375793i \(-0.877370\pi\)
0.671880 0.740660i \(-0.265487\pi\)
\(252\) 8.50647 7.76689i 0.535857 0.489268i
\(253\) −2.86758 + 12.5637i −0.180283 + 0.789873i
\(254\) −1.90234 25.3850i −0.119364 1.59280i
\(255\) −0.0281097 + 1.80733i −0.00176030 + 0.113179i
\(256\) 1.56385 20.8682i 0.0977408 1.30426i
\(257\) −20.1460 + 3.03652i −1.25667 + 0.189413i −0.743420 0.668825i \(-0.766797\pi\)
−0.513252 + 0.858238i \(0.671559\pi\)
\(258\) 0.486910 0.103195i 0.0303137 0.00642462i
\(259\) 11.6498 15.3210i 0.723881 0.952001i
\(260\) −2.18150 1.05056i −0.135291 0.0651527i
\(261\) 6.67962 25.5716i 0.413458 1.58284i
\(262\) 3.12502 + 3.91866i 0.193065 + 0.242095i
\(263\) −7.61589 13.1911i −0.469616 0.813399i 0.529781 0.848135i \(-0.322274\pi\)
−0.999397 + 0.0347361i \(0.988941\pi\)
\(264\) −1.92532 + 2.01134i −0.118495 + 0.123789i
\(265\) 4.38215 0.660503i 0.269193 0.0405744i
\(266\) 9.67164 26.4208i 0.593006 1.61997i
\(267\) 6.31911 + 2.59419i 0.386723 + 0.158762i
\(268\) 18.1051 + 2.72891i 1.10595 + 0.166694i
\(269\) −9.86911 4.75271i −0.601730 0.289778i 0.108112 0.994139i \(-0.465519\pi\)
−0.709842 + 0.704361i \(0.751234\pi\)
\(270\) 1.32004 + 3.10362i 0.0803348 + 0.188880i
\(271\) −7.09547 + 8.89744i −0.431019 + 0.540481i −0.949152 0.314820i \(-0.898056\pi\)
0.518133 + 0.855300i \(0.326627\pi\)
\(272\) −14.1664 2.13524i −0.858964 0.129468i
\(273\) −21.2972 + 5.03011i −1.28897 + 0.304436i
\(274\) 25.1340 3.78834i 1.51840 0.228862i
\(275\) 3.84585 6.66122i 0.231914 0.401686i
\(276\) −14.2051 + 14.8398i −0.855047 + 0.893250i
\(277\) −4.63468 + 11.8090i −0.278471 + 0.709532i 0.721385 + 0.692535i \(0.243506\pi\)
−0.999856 + 0.0169976i \(0.994589\pi\)
\(278\) −2.09036 9.15848i −0.125372 0.549289i
\(279\) 5.02226 11.7118i 0.300675 0.701166i
\(280\) −0.705420 0.624856i −0.0421569 0.0373423i
\(281\) −22.9377 15.6386i −1.36835 0.932924i −0.999995 0.00323748i \(-0.998969\pi\)
−0.368353 0.929686i \(-0.620078\pi\)
\(282\) 2.21109 + 4.78014i 0.131668 + 0.284653i
\(283\) −0.507714 + 6.77497i −0.0301805 + 0.402730i 0.961571 + 0.274556i \(0.0885308\pi\)
−0.991752 + 0.128174i \(0.959088\pi\)
\(284\) 1.90506 + 0.587634i 0.113045 + 0.0348696i
\(285\) 2.67437 + 2.20164i 0.158416 + 0.130414i
\(286\) −13.3672 + 4.12323i −0.790419 + 0.243812i
\(287\) −11.8587 + 21.6809i −0.699998 + 1.27978i
\(288\) −19.8783 + 5.46074i −1.17134 + 0.321777i
\(289\) 1.79759 7.87576i 0.105741 0.463280i
\(290\) 5.65436 + 0.852258i 0.332036 + 0.0500463i
\(291\) 6.19946 + 9.40389i 0.363419 + 0.551266i
\(292\) −1.22665 + 16.3685i −0.0717842 + 0.957893i
\(293\) −7.03539 + 12.1857i −0.411012 + 0.711893i −0.995001 0.0998683i \(-0.968158\pi\)
0.583989 + 0.811762i \(0.301491\pi\)
\(294\) 22.5021 + 0.994686i 1.31235 + 0.0580113i
\(295\) 0.374977 + 0.649480i 0.0218320 + 0.0378142i
\(296\) −6.68181 + 3.21779i −0.388372 + 0.187030i
\(297\) 7.47920 + 3.34588i 0.433987 + 0.194148i
\(298\) 14.3251 17.9631i 0.829833 1.04058i
\(299\) 37.2926 11.5033i 2.15669 0.665250i
\(300\) 10.7126 5.96477i 0.618495 0.344376i
\(301\) 0.343372 + 0.222672i 0.0197916 + 0.0128346i
\(302\) −9.71436 9.01361i −0.558999 0.518675i
\(303\) 29.8532 11.1839i 1.71502 0.642500i
\(304\) −20.1263 + 18.6745i −1.15432 + 1.07106i
\(305\) 1.12299 0.540802i 0.0643020 0.0309662i
\(306\) 3.19777 + 16.3369i 0.182804 + 0.933916i
\(307\) −17.9159 + 8.62785i −1.02252 + 0.492417i −0.868520 0.495654i \(-0.834928\pi\)
−0.153995 + 0.988072i \(0.549214\pi\)
\(308\) 6.05286 0.139774i 0.344894 0.00796438i
\(309\) 22.5150 + 18.5352i 1.28083 + 1.05443i
\(310\) 2.63459 + 0.812663i 0.149635 + 0.0461562i
\(311\) 13.8024 2.08037i 0.782660 0.117967i 0.254456 0.967084i \(-0.418104\pi\)
0.528204 + 0.849117i \(0.322865\pi\)
\(312\) 8.19041 + 2.00391i 0.463691 + 0.113449i
\(313\) 3.72166 + 6.44610i 0.210361 + 0.364355i 0.951827 0.306634i \(-0.0992029\pi\)
−0.741467 + 0.670990i \(0.765870\pi\)
\(314\) −5.49612 6.89191i −0.310164 0.388933i
\(315\) −1.03381 + 2.57326i −0.0582485 + 0.144987i
\(316\) −6.90013 + 8.65249i −0.388163 + 0.486741i
\(317\) −15.2607 2.30018i −0.857125 0.129191i −0.294245 0.955730i \(-0.595068\pi\)
−0.562879 + 0.826539i \(0.690306\pi\)
\(318\) 38.2199 14.3184i 2.14327 0.802935i
\(319\) 11.4779 7.82550i 0.642639 0.438144i
\(320\) −0.405007 1.03194i −0.0226406 0.0576872i
\(321\) 19.4342 + 7.97832i 1.08471 + 0.445306i
\(322\) −40.1586 + 0.927354i −2.23795 + 0.0516794i
\(323\) 10.6603 + 13.3676i 0.593155 + 0.743793i
\(324\) 7.49293 + 10.6982i 0.416274 + 0.594342i
\(325\) −23.2936 −1.29210
\(326\) −11.9884 + 30.5459i −0.663976 + 1.69178i
\(327\) −19.6535 + 10.9430i −1.08684 + 0.605150i
\(328\) 7.86748 5.36396i 0.434409 0.296175i
\(329\) −1.48864 + 4.06665i −0.0820714 + 0.224201i
\(330\) −0.548799 + 1.68563i −0.0302104 + 0.0927910i
\(331\) −2.37849 + 6.06028i −0.130733 + 0.333103i −0.981220 0.192894i \(-0.938213\pi\)
0.850486 + 0.525997i \(0.176308\pi\)
\(332\) −0.443921 + 0.213781i −0.0243633 + 0.0117328i
\(333\) 15.5289 + 15.3345i 0.850976 + 0.840327i
\(334\) −12.2247 5.88710i −0.668905 0.322128i
\(335\) −4.21219 + 1.29929i −0.230136 + 0.0709876i
\(336\) −19.1173 10.8461i −1.04294 0.591705i
\(337\) 2.04131 + 0.629660i 0.111197 + 0.0342998i 0.349854 0.936804i \(-0.386231\pi\)
−0.238657 + 0.971104i \(0.576707\pi\)
\(338\) 13.3508 + 12.3877i 0.726186 + 0.673802i
\(339\) 1.31176 1.01312i 0.0712448 0.0550253i
\(340\) −1.44721 + 0.446406i −0.0784861 + 0.0242098i
\(341\) 6.03468 2.90615i 0.326796 0.157377i
\(342\) 28.2988 + 14.7292i 1.53023 + 0.796463i
\(343\) 12.5216 + 13.6458i 0.676105 + 0.736806i
\(344\) −0.0788459 0.136565i −0.00425109 0.00736310i
\(345\) 1.53107 4.70268i 0.0824302 0.253184i
\(346\) 16.2950 + 15.1196i 0.876025 + 0.812833i
\(347\) 9.51550 + 24.2451i 0.510819 + 1.30154i 0.921008 + 0.389544i \(0.127367\pi\)
−0.410189 + 0.912000i \(0.634537\pi\)
\(348\) 22.1059 1.31126i 1.18500 0.0702909i
\(349\) 11.9156 11.0561i 0.637828 0.591818i −0.293518 0.955954i \(-0.594826\pi\)
0.931346 + 0.364136i \(0.118636\pi\)
\(350\) 23.0676 + 6.53618i 1.23302 + 0.349373i
\(351\) −2.54986 24.6819i −0.136101 1.31742i
\(352\) −9.76233 4.70129i −0.520334 0.250580i
\(353\) 6.57792 6.10341i 0.350107 0.324852i −0.485441 0.874270i \(-0.661341\pi\)
0.835548 + 0.549418i \(0.185150\pi\)
\(354\) 4.61853 + 5.13551i 0.245472 + 0.272949i
\(355\) −0.474604 + 0.0715351i −0.0251894 + 0.00379669i
\(356\) −0.427712 + 5.70742i −0.0226687 + 0.302493i
\(357\) −7.62516 + 11.3672i −0.403566 + 0.601615i
\(358\) −2.07511 27.6904i −0.109673 1.46348i
\(359\) 0.662154 + 2.90109i 0.0349472 + 0.153114i 0.989391 0.145277i \(-0.0464073\pi\)
−0.954444 + 0.298391i \(0.903550\pi\)
\(360\) 0.805525 0.702086i 0.0424549 0.0370032i
\(361\) 13.7667 0.724564
\(362\) −10.7789 18.6697i −0.566528 0.981256i
\(363\) −6.19065 13.3835i −0.324925 0.702453i
\(364\) −9.53184 15.6630i −0.499604 0.820967i
\(365\) −1.44374 3.67858i −0.0755685 0.192546i
\(366\) 9.08496 7.01668i 0.474878 0.366768i
\(367\) −0.778527 10.3887i −0.0406388 0.542287i −0.979953 0.199229i \(-0.936156\pi\)
0.939314 0.343058i \(-0.111463\pi\)
\(368\) 35.3168 + 17.0077i 1.84101 + 0.886586i
\(369\) −22.6499 16.4972i −1.17911 0.858807i
\(370\) −2.94400 + 3.69166i −0.153051 + 0.191920i
\(371\) 30.5637 + 13.8588i 1.58679 + 0.719514i
\(372\) 10.6337 + 0.963392i 0.551329 + 0.0499496i
\(373\) −6.95260 + 12.0423i −0.359992 + 0.623525i −0.987959 0.154715i \(-0.950554\pi\)
0.627967 + 0.778240i \(0.283887\pi\)
\(374\) −4.37491 + 7.57756i −0.226221 + 0.391826i
\(375\) −3.44374 + 4.88601i −0.177834 + 0.252312i
\(376\) 1.22320 1.13496i 0.0630816 0.0585312i
\(377\) −37.9036 18.2534i −1.95214 0.940099i
\(378\) −4.40060 + 25.1579i −0.226342 + 1.29398i
\(379\) 21.2423 10.2298i 1.09114 0.525468i 0.200281 0.979738i \(-0.435814\pi\)
0.890864 + 0.454271i \(0.150100\pi\)
\(380\) −1.06038 + 2.70179i −0.0543961 + 0.138599i
\(381\) 15.8705 + 17.6470i 0.813071 + 0.904083i
\(382\) −0.257665 0.0794790i −0.0131833 0.00406650i
\(383\) −8.91450 + 6.07781i −0.455510 + 0.310561i −0.769250 0.638947i \(-0.779370\pi\)
0.313741 + 0.949509i \(0.398418\pi\)
\(384\) 7.48232 + 11.3498i 0.381830 + 0.579194i
\(385\) −1.29831 + 0.662582i −0.0661680 + 0.0337683i
\(386\) −4.58114 20.0713i −0.233174 1.02160i
\(387\) −0.300472 + 0.353634i −0.0152738 + 0.0179762i
\(388\) −5.88413 + 7.37846i −0.298721 + 0.374585i
\(389\) 4.21956 1.30156i 0.213940 0.0659918i −0.185932 0.982563i \(-0.559531\pi\)
0.399873 + 0.916571i \(0.369054\pi\)
\(390\) 5.25186 1.11307i 0.265938 0.0563624i
\(391\) 12.2054 21.1404i 0.617253 1.06911i
\(392\) −1.90740 6.87655i −0.0963385 0.347318i
\(393\) −4.53913 1.11057i −0.228969 0.0560207i
\(394\) −24.3436 16.5972i −1.22641 0.836153i
\(395\) 0.592875 2.59756i 0.0298308 0.130697i
\(396\) −0.725684 + 6.82667i −0.0364670 + 0.343053i
\(397\) 1.75812 7.70283i 0.0882375 0.386594i −0.911455 0.411400i \(-0.865040\pi\)
0.999692 + 0.0248065i \(0.00789696\pi\)
\(398\) −0.687945 + 0.638320i −0.0344836 + 0.0319961i
\(399\) 7.92061 + 25.0073i 0.396526 + 1.25193i
\(400\) −17.1508 15.9136i −0.857539 0.795680i
\(401\) −7.18734 + 4.90025i −0.358919 + 0.244707i −0.729331 0.684161i \(-0.760169\pi\)
0.370413 + 0.928867i \(0.379216\pi\)
\(402\) −35.4689 + 19.7490i −1.76903 + 0.984991i
\(403\) −16.7596 11.4265i −0.834855 0.569195i
\(404\) 16.6540 + 20.8834i 0.828567 + 1.03899i
\(405\) −2.74277 1.53782i −0.136289 0.0764149i
\(406\) 32.4140 + 28.7121i 1.60868 + 1.42496i
\(407\) 0.857233 + 11.4390i 0.0424915 + 0.567009i
\(408\) 4.60801 2.56573i 0.228130 0.127022i
\(409\) 1.99587 0.300829i 0.0986894 0.0148750i −0.0995119 0.995036i \(-0.531728\pi\)
0.198201 + 0.980161i \(0.436490\pi\)
\(410\) 3.03127 5.25031i 0.149704 0.259294i
\(411\) −16.3870 + 17.1191i −0.808310 + 0.844425i
\(412\) −8.92707 + 22.7458i −0.439805 + 1.12061i
\(413\) −0.293545 + 5.67151i −0.0144444 + 0.279077i
\(414\) 4.81466 45.2926i 0.236628 2.22601i
\(415\) 0.0739587 0.0927413i 0.00363049 0.00455249i
\(416\) 2.45218 + 32.7221i 0.120228 + 1.60433i
\(417\) 6.76183 + 5.56659i 0.331128 + 0.272597i
\(418\) 6.12618 + 15.6093i 0.299641 + 0.763474i
\(419\) −8.49642 21.6485i −0.415077 1.05760i −0.973630 0.228131i \(-0.926738\pi\)
0.558553 0.829469i \(-0.311357\pi\)
\(420\) −2.31831 0.156173i −0.113122 0.00762048i
\(421\) 0.712904 1.81645i 0.0347448 0.0885283i −0.912448 0.409192i \(-0.865811\pi\)
0.947193 + 0.320664i \(0.103906\pi\)
\(422\) −23.1135 −1.12515
\(423\) −4.35570 2.26709i −0.211782 0.110230i
\(424\) −8.06228 10.1098i −0.391539 0.490974i
\(425\) −10.6806 + 9.91011i −0.518083 + 0.480711i
\(426\) −4.13937 + 1.55074i −0.200553 + 0.0751335i
\(427\) 9.36321 + 1.19091i 0.453117 + 0.0576323i
\(428\) −1.31541 + 17.5530i −0.0635829 + 0.848455i
\(429\) 7.51360 10.6604i 0.362760 0.514688i
\(430\) −0.0829544 0.0565573i −0.00400041 0.00272744i
\(431\) 1.18905 + 5.20956i 0.0572745 + 0.250936i 0.995458 0.0952026i \(-0.0303499\pi\)
−0.938183 + 0.346138i \(0.887493\pi\)
\(432\) 14.9846 19.9149i 0.720946 0.958157i
\(433\) 4.86913 21.3330i 0.233995 1.02520i −0.712295 0.701881i \(-0.752344\pi\)
0.946290 0.323320i \(-0.104799\pi\)
\(434\) 13.3907 + 16.0184i 0.642776 + 0.768907i
\(435\) −4.65795 + 2.59354i −0.223332 + 0.124351i
\(436\) −13.8163 12.8197i −0.661683 0.613952i
\(437\) −17.0912 43.5477i −0.817583 2.08317i
\(438\) −20.0315 30.3855i −0.957142 1.45188i
\(439\) 29.6152 + 20.1913i 1.41346 + 0.963679i 0.998551 + 0.0538143i \(0.0171379\pi\)
0.414906 + 0.909864i \(0.363814\pi\)
\(440\) 0.561643 0.0267753
\(441\) −17.1707 + 12.0899i −0.817655 + 0.575709i
\(442\) 26.4980 1.26038
\(443\) −9.61111 6.55274i −0.456638 0.311330i 0.313066 0.949731i \(-0.398644\pi\)
−0.769704 + 0.638401i \(0.779596\pi\)
\(444\) −8.18921 + 16.3497i −0.388643 + 0.775921i
\(445\) −0.503407 1.28266i −0.0238638 0.0608039i
\(446\) 22.1551 + 20.5569i 1.04908 + 0.973399i
\(447\) −0.333127 + 21.4185i −0.0157564 + 1.01306i
\(448\) 1.67857 8.22523i 0.0793049 0.388606i
\(449\) −1.55002 + 6.79110i −0.0731502 + 0.320492i −0.998243 0.0592486i \(-0.981130\pi\)
0.925093 + 0.379740i \(0.123987\pi\)
\(450\) −10.7143 + 24.9856i −0.505079 + 1.17783i
\(451\) −3.27733 14.3589i −0.154324 0.676135i
\(452\) 1.14742 + 0.782300i 0.0539703 + 0.0367963i
\(453\) 12.3049 + 1.11480i 0.578134 + 0.0523780i
\(454\) 0.228185 3.04492i 0.0107093 0.142905i
\(455\) 3.70364 + 2.40176i 0.173629 + 0.112596i
\(456\) 1.66170 9.97000i 0.0778161 0.466888i
\(457\) −6.82668 + 6.33423i −0.319338 + 0.296303i −0.823511 0.567300i \(-0.807988\pi\)
0.504173 + 0.863603i \(0.331797\pi\)
\(458\) 1.48290 + 1.85950i 0.0692913 + 0.0868885i
\(459\) −11.6699 10.2323i −0.544704 0.477602i
\(460\) 4.14384 0.193207
\(461\) 5.95541 15.1741i 0.277371 0.706730i −0.722511 0.691360i \(-0.757012\pi\)
0.999882 0.0153704i \(-0.00489275\pi\)
\(462\) −10.4320 + 8.44864i −0.485341 + 0.393066i
\(463\) 4.49821 + 11.4613i 0.209050 + 0.532650i 0.996487 0.0837446i \(-0.0266880\pi\)
−0.787438 + 0.616394i \(0.788593\pi\)
\(464\) −15.4377 39.3345i −0.716675 1.82606i
\(465\) −2.40715 + 0.901794i −0.111629 + 0.0418197i
\(466\) −0.814487 10.8686i −0.0377304 0.503477i
\(467\) −9.34488 + 11.7181i −0.432429 + 0.542249i −0.949530 0.313675i \(-0.898440\pi\)
0.517101 + 0.855924i \(0.327011\pi\)
\(468\) 19.0030 8.43372i 0.878412 0.389849i
\(469\) −32.1158 9.09997i −1.48297 0.420197i
\(470\) 0.388137 0.988956i 0.0179034 0.0456172i
\(471\) 7.98317 + 1.95320i 0.367845 + 0.0899988i
\(472\) 1.09413 1.89509i 0.0503614 0.0872284i
\(473\) −0.241185 + 0.0363528i −0.0110897 + 0.00167150i
\(474\) 0.381596 24.5349i 0.0175273 1.12692i
\(475\) 2.08664 + 27.8443i 0.0957416 + 1.27758i
\(476\) −11.0343 3.12654i −0.505755 0.143305i
\(477\) −20.0418 + 32.3467i −0.917652 + 1.48105i
\(478\) 7.16268 + 8.98172i 0.327614 + 0.410814i
\(479\) −12.8178 8.73900i −0.585658 0.399295i 0.233925 0.972255i \(-0.424843\pi\)
−0.819584 + 0.572959i \(0.805795\pi\)
\(480\) 3.56847 + 2.13493i 0.162878 + 0.0974458i
\(481\) 28.7027 19.5692i 1.30873 0.892277i
\(482\) 39.3165 + 36.4804i 1.79082 + 1.66164i
\(483\) 29.1038 23.5705i 1.32427 1.07250i
\(484\) 9.05705 8.40372i 0.411684 0.381987i
\(485\) 0.505578 2.21508i 0.0229571 0.100582i
\(486\) −27.6475 8.61783i −1.25412 0.390913i
\(487\) 3.99607 17.5079i 0.181079 0.793360i −0.800038 0.599949i \(-0.795188\pi\)
0.981118 0.193412i \(-0.0619552\pi\)
\(488\) −3.00493 2.04872i −0.136027 0.0927414i
\(489\) −8.56200 29.3715i −0.387187 1.32822i
\(490\) −2.99378 3.41770i −0.135245 0.154396i
\(491\) 0.0919482 0.159259i 0.00414956 0.00718725i −0.863943 0.503589i \(-0.832012\pi\)
0.868093 + 0.496402i \(0.165346\pi\)
\(492\) 7.26835 22.3247i 0.327682 1.00647i
\(493\) −25.1453 + 7.75630i −1.13249 + 0.349326i
\(494\) 31.6617 39.7026i 1.42453 1.78630i
\(495\) −0.555687 1.55656i −0.0249763 0.0699620i
\(496\) −4.53358 19.8629i −0.203564 0.891871i
\(497\) −3.31018 1.50097i −0.148482 0.0673275i
\(498\) 0.489248 0.976778i 0.0219237 0.0437705i
\(499\) −10.3398 + 7.04957i −0.462874 + 0.315582i −0.772206 0.635372i \(-0.780847\pi\)
0.309332 + 0.950954i \(0.399894\pi\)
\(500\) −4.78602 1.47629i −0.214037 0.0660217i
\(501\) 12.3754 2.62282i 0.552893 0.117179i
\(502\) −12.3138 + 31.3750i −0.549590 + 1.40033i
\(503\) 21.5981 10.4011i 0.963014 0.463763i 0.114783 0.993391i \(-0.463383\pi\)
0.848230 + 0.529628i \(0.177668\pi\)
\(504\) 8.01071 1.14183i 0.356825 0.0508610i
\(505\) −5.79380 2.79015i −0.257821 0.124160i
\(506\) 17.5496 16.2837i 0.780176 0.723897i
\(507\) −16.9110 1.53211i −0.751044 0.0680434i
\(508\) −9.94295 + 17.2217i −0.441147 + 0.764089i
\(509\) 7.37400 12.7721i 0.326847 0.566115i −0.655038 0.755596i \(-0.727347\pi\)
0.981884 + 0.189481i \(0.0606805\pi\)
\(510\) 1.93453 2.74473i 0.0856624 0.121539i
\(511\) 5.98362 29.3206i 0.264700 1.29707i
\(512\) −14.4521 + 18.1223i −0.638697 + 0.800900i
\(513\) −29.2753 + 5.25900i −1.29254 + 0.232191i
\(514\) 34.1007 + 16.4221i 1.50412 + 0.724346i
\(515\) −0.439613 5.86623i −0.0193717 0.258497i
\(516\) −0.359684 0.147661i −0.0158342 0.00650042i
\(517\) −0.942931 2.40255i −0.0414700 0.105664i
\(518\) −33.9153 + 11.3253i −1.49015 + 0.497607i
\(519\) −20.6404 1.86999i −0.906012 0.0820833i
\(520\) −0.850441 1.47301i −0.0372943 0.0645956i
\(521\) −4.66081 −0.204194 −0.102097 0.994774i \(-0.532555\pi\)
−0.102097 + 0.994774i \(0.532555\pi\)
\(522\) −37.0138 + 32.2608i −1.62005 + 1.41202i
\(523\) −6.96335 30.5085i −0.304486 1.33404i −0.863276 0.504732i \(-0.831591\pi\)
0.558790 0.829309i \(-0.311266\pi\)
\(524\) −0.292598 3.90445i −0.0127822 0.170567i
\(525\) −20.7461 + 8.32323i −0.905436 + 0.363255i
\(526\) −2.11463 + 28.2177i −0.0922022 + 1.23035i
\(527\) −12.5459 + 1.89099i −0.546509 + 0.0823730i
\(528\) 12.8151 2.71600i 0.557704 0.118199i
\(529\) −32.1008 + 29.7852i −1.39569 + 1.29501i
\(530\) −7.41759 3.57212i −0.322199 0.155163i
\(531\) −6.33464 1.15732i −0.274900 0.0502232i
\(532\) −17.8691 + 12.7971i −0.774725 + 0.554824i
\(533\) −32.6963 + 30.3377i −1.41623 + 1.31407i
\(534\) −6.98466 10.5949i −0.302256 0.458488i
\(535\) −1.54821 3.94477i −0.0669349 0.170547i
\(536\) 9.42849 + 8.74836i 0.407249 + 0.377871i
\(537\) 17.3118 + 19.2497i 0.747061 + 0.830684i
\(538\) 10.1748 + 17.6233i 0.438667 + 0.759793i
\(539\) −10.9789 1.13954i −0.472894 0.0490834i
\(540\) 0.513756 2.58410i 0.0221085 0.111202i
\(541\) −14.7863 + 7.12070i −0.635712 + 0.306143i −0.723842 0.689966i \(-0.757625\pi\)
0.0881294 + 0.996109i \(0.471911\pi\)
\(542\) 20.2024 6.23162i 0.867768 0.267671i
\(543\) 18.5934 + 7.63314i 0.797918 + 0.327569i
\(544\) 15.0458 + 13.9604i 0.645083 + 0.598549i
\(545\) 4.33598 + 1.33747i 0.185733 + 0.0572910i
\(546\) 37.9542 + 14.5668i 1.62429 + 0.623402i
\(547\) 38.3118 11.8176i 1.63810 0.505286i 0.667218 0.744862i \(-0.267485\pi\)
0.970877 + 0.239577i \(0.0770088\pi\)
\(548\) −17.8897 8.61521i −0.764208 0.368023i
\(549\) −2.70485 + 10.3550i −0.115440 + 0.441939i
\(550\) −12.8742 + 6.19989i −0.548958 + 0.264364i
\(551\) −18.4240 + 46.9436i −0.784890 + 1.99987i
\(552\) −14.1171 + 2.99195i −0.600864 + 0.127346i
\(553\) 14.4694 14.0610i 0.615300 0.597935i
\(554\) 19.4722 13.2759i 0.827294 0.564039i
\(555\) 0.0684618 4.40178i 0.00290604 0.186845i
\(556\) −2.68103 + 6.83115i −0.113701 + 0.289705i
\(557\) −22.0644 −0.934900 −0.467450 0.884020i \(-0.654827\pi\)
−0.467450 + 0.884020i \(0.654827\pi\)
\(558\) −19.9654 + 12.7211i −0.845202 + 0.538528i
\(559\) 0.460545 + 0.577505i 0.0194790 + 0.0244259i
\(560\) 1.08612 + 4.29862i 0.0458970 + 0.181650i
\(561\) −1.09026 8.08459i −0.0460308 0.341332i
\(562\) 18.8421 + 48.0090i 0.794808 + 2.02514i
\(563\) 1.68271 1.14725i 0.0709178 0.0483510i −0.527342 0.849653i \(-0.676811\pi\)
0.598260 + 0.801302i \(0.295859\pi\)
\(564\) 0.676397 4.05831i 0.0284814 0.170886i
\(565\) −0.330602 0.0498302i −0.0139085 0.00209637i
\(566\) 7.86938 9.86789i 0.330775 0.414779i
\(567\) −11.0903 21.0714i −0.465748 0.884918i
\(568\) 0.873178 + 1.09493i 0.0366377 + 0.0459422i
\(569\) −9.03882 15.6557i −0.378927 0.656321i 0.611979 0.790874i \(-0.290374\pi\)
−0.990906 + 0.134553i \(0.957040\pi\)
\(570\) −1.80098 6.17816i −0.0754348 0.258775i
\(571\) 23.7874 3.58537i 0.995472 0.150043i 0.368952 0.929449i \(-0.379717\pi\)
0.626520 + 0.779405i \(0.284479\pi\)
\(572\) 10.4422 + 3.22100i 0.436611 + 0.134677i
\(573\) 0.235421 0.0881960i 0.00983485 0.00368444i
\(574\) 40.8918 20.8688i 1.70679 0.871047i
\(575\) 35.9173 17.2968i 1.49785 0.721328i
\(576\) 9.00422 + 3.08722i 0.375176 + 0.128634i
\(577\) 15.0765 7.26047i 0.627644 0.302257i −0.0928908 0.995676i \(-0.529611\pi\)
0.720535 + 0.693419i \(0.243896\pi\)
\(578\) −11.0013 + 10.2077i −0.457592 + 0.424583i
\(579\) 14.8189 + 12.1995i 0.615853 + 0.506993i
\(580\) −3.27453 3.03832i −0.135967 0.126159i
\(581\) 0.852016 0.284514i 0.0353476 0.0118036i
\(582\) 0.325408 20.9223i 0.0134886 0.867255i
\(583\) −19.1122 + 5.89535i −0.791548 + 0.244160i
\(584\) −7.18922 + 9.01500i −0.297492 + 0.373043i
\(585\) −3.24092 + 3.81433i −0.133996 + 0.157703i
\(586\) 23.5513 11.3417i 0.972897 0.468523i
\(587\) 7.99076 + 13.8404i 0.329814 + 0.571254i 0.982475 0.186396i \(-0.0596807\pi\)
−0.652661 + 0.757650i \(0.726347\pi\)
\(588\) −14.0861 10.5442i −0.580900 0.434834i
\(589\) −12.1575 + 21.0574i −0.500940 + 0.867654i
\(590\) 0.104116 1.38933i 0.00428639 0.0571980i
\(591\) 27.4214 1.62656i 1.12796 0.0669078i
\(592\) 34.5026 + 5.20043i 1.41805 + 0.213736i
\(593\) −4.25485 + 18.6417i −0.174726 + 0.765524i 0.809285 + 0.587416i \(0.199855\pi\)
−0.984011 + 0.178108i \(0.943002\pi\)
\(594\) −7.97868 12.9628i −0.327369 0.531870i
\(595\) 2.72000 0.474437i 0.111509 0.0194500i
\(596\) −17.1508 + 5.29033i −0.702526 + 0.216700i
\(597\) 0.143846 0.863062i 0.00588724 0.0353228i
\(598\) −69.2804 21.3702i −2.83309 0.873892i
\(599\) 0.0834988 1.11421i 0.00341167 0.0455255i −0.995238 0.0974734i \(-0.968924\pi\)
0.998650 + 0.0519479i \(0.0165430\pi\)
\(600\) 8.57806 + 0.777159i 0.350198 + 0.0317274i
\(601\) 24.7114 + 16.8479i 1.00800 + 0.687241i 0.950378 0.311097i \(-0.100696\pi\)
0.0576199 + 0.998339i \(0.481649\pi\)
\(602\) −0.294029 0.701131i −0.0119837 0.0285760i
\(603\) 14.9170 34.7860i 0.607467 1.41660i
\(604\) 2.30358 + 10.0926i 0.0937312 + 0.410663i
\(605\) −1.08671 + 2.76890i −0.0441812 + 0.112572i
\(606\) −57.5271 14.0749i −2.33688 0.571753i
\(607\) 4.72997 8.19254i 0.191983 0.332525i −0.753924 0.656962i \(-0.771841\pi\)
0.945907 + 0.324437i \(0.105175\pi\)
\(608\) 38.8951 5.86249i 1.57740 0.237755i
\(609\) −40.2806 2.71351i −1.63225 0.109957i
\(610\) −2.28968 0.345114i −0.0927064 0.0139732i
\(611\) −4.87332 + 6.11095i −0.197153 + 0.247222i
\(612\) 5.12515 11.9517i 0.207172 0.483119i
\(613\) −27.6620 13.3213i −1.11726 0.538042i −0.218213 0.975901i \(-0.570023\pi\)
−0.899044 + 0.437859i \(0.855737\pi\)
\(614\) 36.5291 + 5.50588i 1.47419 + 0.222199i
\(615\) 0.755415 + 5.60162i 0.0304613 + 0.225879i
\(616\) 3.56844 + 2.31409i 0.143777 + 0.0932372i
\(617\) 43.9652 6.62668i 1.76997 0.266780i 0.818497 0.574510i \(-0.194808\pi\)
0.951474 + 0.307730i \(0.0995694\pi\)
\(618\) −15.1621 52.0126i −0.609908 2.09225i
\(619\) 4.55500 + 7.88949i 0.183081 + 0.317105i 0.942928 0.332996i \(-0.108060\pi\)
−0.759847 + 0.650102i \(0.774726\pi\)
\(620\) −1.34286 1.68389i −0.0539306 0.0676268i
\(621\) 22.2594 + 36.1644i 0.893239 + 1.45123i
\(622\) −23.3630 11.2510i −0.936772 0.451126i
\(623\) 2.08639 10.2236i 0.0835895 0.409601i
\(624\) −26.5278 29.4972i −1.06196 1.18083i
\(625\) −22.9249 + 3.45537i −0.916996 + 0.138215i
\(626\) 1.03336 13.7892i 0.0413012 0.551126i
\(627\) −13.4161 8.02651i −0.535786 0.320548i
\(628\) 0.514606 + 6.86694i 0.0205350 + 0.274021i
\(629\) 4.83516 21.1842i 0.192790 0.844670i
\(630\) 4.27978 2.86792i 0.170510 0.114261i
\(631\) 9.55653 + 41.8699i 0.380439 + 1.66681i 0.696103 + 0.717942i \(0.254916\pi\)
−0.315663 + 0.948871i \(0.602227\pi\)
\(632\) −7.42882 + 2.29149i −0.295503 + 0.0911505i
\(633\) 17.0550 13.1723i 0.677876 0.523551i
\(634\) 21.0172 + 19.5011i 0.834698 + 0.774487i
\(635\) 0.357771 4.77412i 0.0141977 0.189455i
\(636\) −30.9697 7.57720i −1.22803 0.300456i
\(637\) 13.6356 + 30.5196i 0.540263 + 1.20923i
\(638\) −25.8074 −1.02173
\(639\) 2.17061 3.50328i 0.0858680 0.138587i
\(640\) 0.610197 2.67345i 0.0241202 0.105677i
\(641\) 1.52075 + 0.229216i 0.0600658 + 0.00905347i 0.179006 0.983848i \(-0.442712\pi\)
−0.118941 + 0.992901i \(0.537950\pi\)
\(642\) −21.4811 32.5843i −0.847790 1.28600i
\(643\) 27.3720 + 8.44314i 1.07945 + 0.332965i 0.782960 0.622072i \(-0.213709\pi\)
0.296486 + 0.955037i \(0.404185\pi\)
\(644\) 26.3282 + 17.0735i 1.03748 + 0.672789i
\(645\) 0.0934424 0.00554275i 0.00367929 0.000218246i
\(646\) −2.37369 31.6747i −0.0933915 1.24622i
\(647\) 5.05491 + 22.1470i 0.198729 + 0.870689i 0.971695 + 0.236241i \(0.0759155\pi\)
−0.772965 + 0.634448i \(0.781227\pi\)
\(648\) 0.115530 + 9.17437i 0.00453845 + 0.360403i
\(649\) −2.11031 2.64625i −0.0828370 0.103874i
\(650\) 35.7545 + 24.3770i 1.40241 + 0.956144i
\(651\) −19.0096 4.18835i −0.745045 0.164154i
\(652\) 21.1797 14.4401i 0.829463 0.565518i
\(653\) −3.39941 1.04858i −0.133029 0.0410341i 0.227526 0.973772i \(-0.426936\pi\)
−0.360555 + 0.932738i \(0.617413\pi\)
\(654\) 41.6190 + 3.77062i 1.62743 + 0.147443i
\(655\) 0.471315 + 0.816341i 0.0184158 + 0.0318971i
\(656\) −44.7998 −1.74914
\(657\) 32.0975 + 11.0051i 1.25224 + 0.429348i
\(658\) 6.54077 4.68421i 0.254986 0.182609i
\(659\) −20.8595 3.14407i −0.812572 0.122476i −0.270406 0.962746i \(-0.587158\pi\)
−0.542167 + 0.840271i \(0.682396\pi\)
\(660\) 1.09599 0.846478i 0.0426614 0.0329491i
\(661\) −11.2030 + 7.63810i −0.435748 + 0.297088i −0.761256 0.648451i \(-0.775417\pi\)
0.325508 + 0.945539i \(0.394465\pi\)
\(662\) 9.99299 6.81311i 0.388389 0.264799i
\(663\) −19.5524 + 15.1011i −0.759352 + 0.586479i
\(664\) −0.342252 0.0515861i −0.0132819 0.00200193i
\(665\) 2.53920 4.64234i 0.0984660 0.180022i
\(666\) −7.78824 39.7888i −0.301788 1.54178i
\(667\) 71.9991 2.78782
\(668\) 5.29969 + 9.17933i 0.205051 + 0.355159i
\(669\) −28.0632 2.54248i −1.08499 0.0982980i
\(670\) 7.82520 + 2.41375i 0.302314 + 0.0932514i
\(671\) −4.64786 + 3.16886i −0.179429 + 0.122332i
\(672\) 13.8762 + 28.2673i 0.535286 + 1.09043i
\(673\) 1.64246 + 1.11981i 0.0633121 + 0.0431655i 0.594563 0.804049i \(-0.297325\pi\)
−0.531250 + 0.847215i \(0.678278\pi\)
\(674\) −2.47436 3.10274i −0.0953086 0.119513i
\(675\) −6.33326 24.5425i −0.243767 0.944640i
\(676\) −3.16588 13.8706i −0.121765 0.533486i
\(677\) −3.66608 48.9205i −0.140899 1.88017i −0.403103 0.915155i \(-0.632068\pi\)
0.262204 0.965012i \(-0.415551\pi\)
\(678\) −3.07372 + 0.182325i −0.118045 + 0.00700214i
\(679\) 12.3388 11.9906i 0.473521 0.460157i
\(680\) −1.01662 0.313587i −0.0389858 0.0120255i
\(681\) 1.56692 + 2.37683i 0.0600443 + 0.0910805i
\(682\) −12.3042 1.85456i −0.471153 0.0710149i
\(683\) −3.32994 + 14.5894i −0.127417 + 0.558249i 0.870408 + 0.492330i \(0.163855\pi\)
−0.997825 + 0.0659183i \(0.979002\pi\)
\(684\) −11.7836 21.9599i −0.450558 0.839658i
\(685\) 4.78032 0.182647
\(686\) −4.93956 34.0496i −0.188593 1.30002i
\(687\) −2.15392 0.526990i −0.0821773 0.0201059i
\(688\) −0.0554435 + 0.739842i −0.00211376 + 0.0282062i
\(689\) 44.4014 + 41.1985i 1.69156 + 1.56954i
\(690\) −7.27152 + 5.61609i −0.276822 + 0.213801i
\(691\) −17.0068 + 5.24591i −0.646969 + 0.199564i −0.600837 0.799372i \(-0.705166\pi\)
−0.0461326 + 0.998935i \(0.514690\pi\)
\(692\) −3.86405 16.9295i −0.146889 0.643564i
\(693\) 2.88274 12.1793i 0.109506 0.462652i
\(694\) 10.7669 47.1730i 0.408707 1.79066i
\(695\) −0.132027 1.76178i −0.00500808 0.0668281i
\(696\) 13.3493 + 7.98657i 0.506004 + 0.302730i
\(697\) −2.08488 + 27.8208i −0.0789706 + 1.05379i
\(698\) −29.8601 + 4.50069i −1.13022 + 0.170354i
\(699\) 6.79496 + 7.55555i 0.257009 + 0.285777i
\(700\) −12.0126 14.3698i −0.454032 0.543126i
\(701\) −7.36269 3.54568i −0.278085 0.133919i 0.289643 0.957135i \(-0.406463\pi\)
−0.567728 + 0.823216i \(0.692178\pi\)
\(702\) −21.9159 + 40.5538i −0.827162 + 1.53060i
\(703\) −25.9634 32.5571i −0.979229 1.22791i
\(704\) 2.50159 + 4.33289i 0.0942823 + 0.163302i
\(705\) 0.277203 + 0.950931i 0.0104401 + 0.0358141i
\(706\) −16.4840 + 2.48457i −0.620385 + 0.0935079i
\(707\) −25.3154 41.5991i −0.952082 1.56449i
\(708\) −0.721089 5.34709i −0.0271002 0.200956i
\(709\) 28.9822 + 4.36836i 1.08845 + 0.164057i 0.668663 0.743566i \(-0.266867\pi\)
0.419786 + 0.907623i \(0.362105\pi\)
\(710\) 0.803355 + 0.386875i 0.0301494 + 0.0145192i
\(711\) 13.7008 + 18.3213i 0.513819 + 0.687103i
\(712\) −2.50676 + 3.14338i −0.0939450 + 0.117803i
\(713\) 34.3271 + 5.17397i 1.28556 + 0.193767i
\(714\) 23.6001 9.46821i 0.883210 0.354339i
\(715\) −2.60145 + 0.392105i −0.0972887 + 0.0146639i
\(716\) −10.8460 + 18.7857i −0.405332 + 0.702056i
\(717\) −10.4039 2.54546i −0.388540 0.0950621i
\(718\) 2.01964 5.14597i 0.0753724 0.192046i
\(719\) 3.82393 + 16.7537i 0.142608 + 0.624808i 0.994824 + 0.101617i \(0.0324016\pi\)
−0.852215 + 0.523191i \(0.824741\pi\)
\(720\) −4.99210 + 0.594327i −0.186045 + 0.0221493i
\(721\) 21.3770 39.0829i 0.796120 1.45552i
\(722\) −21.1312 14.4070i −0.786421 0.536173i
\(723\) −49.8010 4.51190i −1.85212 0.167799i
\(724\) −1.25850 + 16.7935i −0.0467718 + 0.624127i
\(725\) −41.0647 12.6668i −1.52511 0.470433i
\(726\) −4.50368 + 27.0216i −0.167147 + 1.00286i
\(727\) 22.8580 7.05075i 0.847756 0.261498i 0.159709 0.987164i \(-0.448945\pi\)
0.688047 + 0.725666i \(0.258468\pi\)
\(728\) 0.665753 12.8629i 0.0246745 0.476729i
\(729\) 25.3119 9.39727i 0.937477 0.348047i
\(730\) −1.63361 + 7.15730i −0.0604625 + 0.264904i
\(731\) 0.456864 + 0.0688612i 0.0168977 + 0.00254692i
\(732\) −8.95155 + 0.530982i −0.330859 + 0.0196257i
\(733\) −0.582668 + 7.77516i −0.0215213 + 0.287182i 0.976051 + 0.217542i \(0.0698041\pi\)
−0.997572 + 0.0696398i \(0.977815\pi\)
\(734\) −9.67689 + 16.7609i −0.357181 + 0.618655i
\(735\) 4.15679 + 0.815718i 0.153326 + 0.0300882i
\(736\) −28.0792 48.6345i −1.03501 1.79269i
\(737\) 17.9241 8.63177i 0.660241 0.317955i
\(738\) 17.5020 + 49.0256i 0.644259 + 1.80466i
\(739\) 5.40474 6.77734i 0.198817 0.249308i −0.672422 0.740168i \(-0.734746\pi\)
0.871239 + 0.490860i \(0.163317\pi\)
\(740\) 3.52472 1.08723i 0.129571 0.0399674i
\(741\) −0.736284 + 47.3397i −0.0270481 + 1.73907i
\(742\) −32.4103 53.2578i −1.18982 1.95515i
\(743\) −10.3630 9.61543i −0.380180 0.352756i 0.466816 0.884354i \(-0.345401\pi\)
−0.846996 + 0.531599i \(0.821592\pi\)
\(744\) 5.79063 + 4.76706i 0.212295 + 0.174769i
\(745\) 3.16753 2.93904i 0.116049 0.107678i
\(746\) 23.2742 11.2083i 0.852130 0.410364i
\(747\) 0.195655 + 0.999568i 0.00715864 + 0.0365723i
\(748\) 6.15830 2.96568i 0.225170 0.108436i
\(749\) 6.41662 31.4424i 0.234458 1.14888i
\(750\) 10.3992 3.89587i 0.379725 0.142257i
\(751\) 9.14398 + 2.82055i 0.333669 + 0.102923i 0.457062 0.889435i \(-0.348902\pi\)
−0.123394 + 0.992358i \(0.539378\pi\)
\(752\) −7.76300 + 1.17008i −0.283087 + 0.0426686i
\(753\) −8.79437 30.1686i −0.320485 1.09940i
\(754\) 39.0777 + 67.6845i 1.42312 + 2.46492i
\(755\) −1.55391 1.94854i −0.0565526 0.0709147i
\(756\) 13.9112 14.3015i 0.505946 0.520140i
\(757\) −30.8460 + 38.6797i −1.12112 + 1.40584i −0.218264 + 0.975890i \(0.570039\pi\)
−0.902854 + 0.429948i \(0.858532\pi\)
\(758\) −43.3114 6.52814i −1.57314 0.237113i
\(759\) −3.66955 + 22.0169i −0.133196 + 0.799162i
\(760\) −1.68459 + 1.14854i −0.0611066 + 0.0416618i
\(761\) −1.73530 4.42148i −0.0629047 0.160279i 0.895965 0.444124i \(-0.146485\pi\)
−0.958870 + 0.283845i \(0.908390\pi\)
\(762\) −5.89266 43.6958i −0.213469 1.58293i
\(763\) 22.0383 + 26.3629i 0.797840 + 0.954400i
\(764\) 0.131333 + 0.164686i 0.00475145 + 0.00595813i
\(765\) 0.136758 + 3.12777i 0.00494449 + 0.113085i
\(766\) 20.0438 0.724211
\(767\) −3.74481 + 9.54163i −0.135217 + 0.344528i
\(768\) 0.563674 36.2417i 0.0203398 1.30776i
\(769\) −39.3143 + 26.8040i −1.41771 + 0.966577i −0.419439 + 0.907784i \(0.637773\pi\)
−0.998270 + 0.0587938i \(0.981275\pi\)
\(770\) 2.68623 + 0.341664i 0.0968052 + 0.0123127i
\(771\) −34.5212 + 7.31635i −1.24325 + 0.263492i
\(772\) −5.87562 + 14.9708i −0.211468 + 0.538812i
\(773\) 27.2108 13.1040i 0.978703 0.471319i 0.125044 0.992151i \(-0.460093\pi\)
0.853659 + 0.520833i \(0.174378\pi\)
\(774\) 0.831289 0.228362i 0.0298801 0.00820832i
\(775\) −18.6682 8.99013i −0.670581 0.322935i
\(776\) −6.33497 + 1.95408i −0.227412 + 0.0701474i
\(777\) 18.5713 27.6850i 0.666240 0.993194i
\(778\) −7.83889 2.41798i −0.281038 0.0866887i
\(779\) 39.1934 + 36.3662i 1.40425 + 1.30295i
\(780\) −3.87959 1.59269i −0.138912 0.0570274i
\(781\) 2.06993 0.638490i 0.0740680 0.0228470i
\(782\) −40.8582 + 19.6763i −1.46109 + 0.703622i
\(783\) 8.92651 44.8987i 0.319007 1.60455i
\(784\) −10.8105 + 31.7867i −0.386088 + 1.13524i
\(785\) −0.828922 1.43573i −0.0295855 0.0512436i
\(786\) 5.80510 + 6.45490i 0.207061 + 0.230239i
\(787\) 3.64656 + 3.38352i 0.129986 + 0.120609i 0.742487 0.669860i \(-0.233646\pi\)
−0.612501 + 0.790470i \(0.709837\pi\)
\(788\) 8.40871 + 21.4251i 0.299548 + 0.763236i
\(789\) −14.5208 22.0265i −0.516956 0.784164i
\(790\) −3.62840 + 3.36666i −0.129093 + 0.119780i
\(791\) −1.89519 1.67875i −0.0673853 0.0596894i
\(792\) −3.12261 + 3.67509i −0.110957 + 0.130589i
\(793\) 15.3487 + 7.39154i 0.545048 + 0.262481i
\(794\) −10.7597 + 9.98354i −0.381847 + 0.354303i
\(795\) 7.50904 1.59145i 0.266318 0.0564430i
\(796\) 0.724925 0.109265i 0.0256943 0.00387279i
\(797\) −0.834828 + 11.1400i −0.0295711 + 0.394599i 0.962705 + 0.270552i \(0.0872064\pi\)
−0.992276 + 0.124047i \(0.960413\pi\)
\(798\) 14.0127 46.6739i 0.496043 1.65224i
\(799\) 0.365354 + 4.87531i 0.0129253 + 0.172476i
\(800\) 7.45869 + 32.6787i 0.263705 + 1.15537i
\(801\) 11.1919 + 3.83729i 0.395445 + 0.135584i
\(802\) 16.1603 0.570641
\(803\) 8.91747 + 15.4455i 0.314691 + 0.545060i
\(804\) 31.5838 + 2.86145i 1.11388 + 0.100915i
\(805\) −7.49422 0.953196i −0.264137 0.0335958i
\(806\) 13.7672 + 35.0782i 0.484928 + 1.23558i
\(807\) −17.5512 7.20531i −0.617833 0.253639i
\(808\) 1.40221 + 18.7112i 0.0493295 + 0.658256i
\(809\) −37.2727 17.9496i −1.31044 0.631074i −0.357409 0.933948i \(-0.616340\pi\)
−0.953031 + 0.302874i \(0.902054\pi\)
\(810\) 2.60066 + 5.23080i 0.0913780 + 0.183792i
\(811\) 8.99796 11.2831i 0.315961 0.396203i −0.598337 0.801245i \(-0.704172\pi\)
0.914298 + 0.405042i \(0.132743\pi\)
\(812\) −8.28647 32.7959i −0.290798 1.15091i
\(813\) −11.3556 + 16.1115i −0.398259 + 0.565054i
\(814\) 10.6552 18.4553i 0.373464 0.646859i
\(815\) −3.08567 + 5.34454i −0.108086 + 0.187211i
\(816\) −24.7129 2.23895i −0.865123 0.0783788i
\(817\) 0.649071 0.602250i 0.0227081 0.0210701i
\(818\) −3.37837 1.62694i −0.118122 0.0568846i
\(819\) −36.3073 + 10.8814i −1.26868 + 0.380226i
\(820\) −4.26694 + 2.05485i −0.149008 + 0.0717585i
\(821\) 12.0946 30.8166i 0.422105 1.07551i −0.548781 0.835966i \(-0.684908\pi\)
0.970886 0.239541i \(-0.0769969\pi\)
\(822\) 43.0685 9.12785i 1.50219 0.318370i
\(823\) −3.48523 1.07505i −0.121488 0.0374739i 0.233415 0.972377i \(-0.425010\pi\)
−0.354903 + 0.934903i \(0.615486\pi\)
\(824\) −14.1822 + 9.66927i −0.494061 + 0.336845i
\(825\) 5.96635 11.9118i 0.207722 0.414714i
\(826\) 6.38586 8.39826i 0.222192 0.292213i
\(827\) 0.202774 + 0.888410i 0.00705114 + 0.0308931i 0.978331 0.207046i \(-0.0663851\pi\)
−0.971280 + 0.237940i \(0.923528\pi\)
\(828\) −23.0388 + 27.1150i −0.800655 + 0.942313i
\(829\) 34.3414 43.0628i 1.19273 1.49563i 0.368258 0.929723i \(-0.379954\pi\)
0.824468 0.565908i \(-0.191474\pi\)
\(830\) −0.210577 + 0.0649545i −0.00730925 + 0.00225460i
\(831\) −6.80228 + 20.8932i −0.235969 + 0.724776i
\(832\) 7.57584 13.1217i 0.262645 0.454914i
\(833\) 19.2365 + 8.19261i 0.666507 + 0.283857i
\(834\) −4.55356 15.6207i −0.157677 0.540902i
\(835\) −2.10839 1.43747i −0.0729638 0.0497459i
\(836\) 2.91484 12.7707i 0.100812 0.441686i
\(837\) 7.48239 20.7649i 0.258629 0.717739i
\(838\) −9.61383 + 42.1209i −0.332104 + 1.45504i
\(839\) −26.3395 + 24.4395i −0.909339 + 0.843744i −0.988204 0.153142i \(-0.951061\pi\)
0.0788650 + 0.996885i \(0.474870\pi\)
\(840\) −1.28376 1.00804i −0.0442941 0.0347805i
\(841\) −35.6364 33.0658i −1.22884 1.14020i
\(842\) −2.99520 + 2.04209i −0.103221 + 0.0703752i
\(843\) −41.2634 24.6869i −1.42119 0.850262i
\(844\) 14.9184 + 10.1712i 0.513514 + 0.350108i
\(845\) 2.13559 + 2.67794i 0.0734665 + 0.0921241i
\(846\) 4.31325 + 8.03814i 0.148292 + 0.276357i
\(847\) −18.3130 + 13.1150i −0.629242 + 0.450635i
\(848\) 4.54642 + 60.6678i 0.156125 + 2.08334i
\(849\) −0.183000 + 11.7661i −0.00628055 + 0.403811i
\(850\) 26.7651 4.03419i 0.918036 0.138372i
\(851\) −29.7265 + 51.4878i −1.01901 + 1.76498i
\(852\) 3.35414 + 0.820642i 0.114911 + 0.0281147i
\(853\) 10.5961 26.9985i 0.362804 0.924410i −0.626615 0.779329i \(-0.715560\pi\)
0.989420 0.145082i \(-0.0463444\pi\)
\(854\) −13.1257 11.6267i −0.449153 0.397856i
\(855\) 4.84982 + 3.53238i 0.165860 + 0.120805i
\(856\) −7.70946 + 9.66736i −0.263504 + 0.330424i
\(857\) 2.05846 + 27.4683i 0.0703158 + 0.938299i 0.915109 + 0.403206i \(0.132104\pi\)
−0.844793 + 0.535093i \(0.820277\pi\)
\(858\) −22.6891 + 8.50006i −0.774595 + 0.290187i
\(859\) −19.6381 50.0370i −0.670042 1.70724i −0.706314 0.707898i \(-0.749644\pi\)
0.0362721 0.999342i \(-0.488452\pi\)
\(860\) 0.0286539 + 0.0730090i 0.000977091 + 0.00248959i
\(861\) −18.2803 + 38.7028i −0.622990 + 1.31899i
\(862\) 3.62673 9.24075i 0.123527 0.314741i
\(863\) 3.35679 0.114266 0.0571332 0.998367i \(-0.481804\pi\)
0.0571332 + 0.998367i \(0.481804\pi\)
\(864\) −33.8098 + 11.4804i −1.15023 + 0.390572i
\(865\) 2.60655 + 3.26851i 0.0886254 + 0.111133i
\(866\) −29.7991 + 27.6495i −1.01261 + 0.939568i
\(867\) 2.30031 13.8016i 0.0781228 0.468728i
\(868\) −1.59398 16.2316i −0.0541030 0.550937i
\(869\) −0.898609 + 11.9911i −0.0304832 + 0.406770i
\(870\) 9.86387 + 0.893651i 0.334417 + 0.0302976i
\(871\) −49.7790 33.9387i −1.68670 1.14997i
\(872\) −2.94617 12.9080i −0.0997698 0.437120i
\(873\) 11.6834 + 15.6236i 0.395423 + 0.528779i
\(874\) −19.3390 + 84.7295i −0.654150 + 2.86602i
\(875\) 8.31604 + 3.77082i 0.281133 + 0.127477i
\(876\) −0.442132 + 28.4271i −0.0149383 + 0.960463i
\(877\) −33.8863 31.4419i −1.14426 1.06172i −0.997364 0.0725656i \(-0.976881\pi\)
−0.146896 0.989152i \(-0.546928\pi\)
\(878\) −24.3274 61.9852i −0.821009 2.09190i
\(879\) −10.9145 + 21.7907i −0.368137 + 0.734982i
\(880\) −2.18329 1.48854i −0.0735986 0.0501787i
\(881\) 33.1935 1.11832 0.559159 0.829061i \(-0.311124\pi\)
0.559159 + 0.829061i \(0.311124\pi\)
\(882\) 39.0084 0.587995i 1.31348 0.0197988i
\(883\) −55.1260 −1.85514 −0.927569 0.373653i \(-0.878105\pi\)
−0.927569 + 0.373653i \(0.878105\pi\)
\(884\) −17.1029 11.6606i −0.575234 0.392188i
\(885\) 0.714951 + 1.08450i 0.0240328 + 0.0364551i
\(886\) 7.89504 + 20.1162i 0.265239 + 0.675818i
\(887\) 5.56108 + 5.15993i 0.186723 + 0.173254i 0.767995 0.640456i \(-0.221254\pi\)
−0.581272 + 0.813709i \(0.697445\pi\)
\(888\) −11.2229 + 6.24888i −0.376616 + 0.209699i
\(889\) 21.9435 28.8587i 0.735962 0.967889i
\(890\) −0.569612 + 2.49563i −0.0190934 + 0.0836539i
\(891\) 13.2748 + 5.01800i 0.444722 + 0.168109i
\(892\) −5.25367 23.0178i −0.175906 0.770693i
\(893\) 7.74134 + 5.27796i 0.259054 + 0.176620i
\(894\) 22.9260 32.5277i 0.766761 1.08789i
\(895\) 0.390263 5.20770i 0.0130451 0.174074i
\(896\) 14.8921 14.4718i 0.497510 0.483470i
\(897\) 63.2996 23.7140i 2.11351 0.791787i
\(898\) 9.48615 8.80186i 0.316557 0.293722i
\(899\) −23.3322 29.2577i −0.778172 0.975797i
\(900\) 17.9105 11.4119i 0.597018 0.380395i
\(901\) 37.8865 1.26218
\(902\) −9.99622 + 25.4699i −0.332838 + 0.848056i
\(903\) 0.616531 + 0.349786i 0.0205169 + 0.0116401i
\(904\) 0.356406 + 0.908107i 0.0118539 + 0.0302032i
\(905\) −1.48123 3.77410i −0.0492376 0.125455i
\(906\) −17.7207 14.5883i −0.588730 0.484665i
\(907\) 0.385286 + 5.14129i 0.0127932 + 0.170714i 0.999941 + 0.0109010i \(0.00346996\pi\)
−0.987147 + 0.159813i \(0.948911\pi\)
\(908\) −1.48721 + 1.86491i −0.0493550 + 0.0618892i
\(909\) 50.4695 22.3989i 1.67397 0.742925i
\(910\) −3.17143 7.56247i −0.105132 0.250693i
\(911\) 7.77299 19.8053i 0.257531 0.656178i −0.742374 0.669986i \(-0.766300\pi\)
0.999905 + 0.0138082i \(0.00439541\pi\)
\(912\) −32.8834 + 34.3526i −1.08888 + 1.13753i
\(913\) −0.267678 + 0.463632i −0.00885885 + 0.0153440i
\(914\) 17.1074 2.57853i 0.565863 0.0852901i
\(915\) 1.88619 1.05023i 0.0623556 0.0347194i
\(916\) −0.138845 1.85276i −0.00458756 0.0612168i
\(917\) −0.368961 + 7.12860i −0.0121842 + 0.235407i
\(918\) 7.20449 + 27.9187i 0.237784 + 0.921453i
\(919\) 33.3899 + 41.8696i 1.10143 + 1.38115i 0.917275 + 0.398254i \(0.130384\pi\)
0.184156 + 0.982897i \(0.441045\pi\)
\(920\) 2.40512 + 1.63978i 0.0792943 + 0.0540620i
\(921\) −30.0920 + 16.7551i −0.991563 + 0.552100i
\(922\) −25.0211 + 17.0591i −0.824026 + 0.561812i
\(923\) −4.80885 4.46196i −0.158285 0.146867i
\(924\) 10.4511 0.862454i 0.343817 0.0283727i
\(925\) 26.0127 24.1363i 0.855294 0.793597i
\(926\) 5.08979 22.2998i 0.167261 0.732818i
\(927\) 40.8296 + 29.7384i 1.34102 + 0.976737i
\(928\) −13.4709 + 59.0199i −0.442204 + 1.93742i
\(929\) −9.46628 6.45400i −0.310579 0.211749i 0.397992 0.917389i \(-0.369707\pi\)
−0.708570 + 0.705640i \(0.750660\pi\)
\(930\) 4.63858 + 1.13490i 0.152105 + 0.0372148i
\(931\) 35.2604 19.0334i 1.15561 0.623796i
\(932\) −4.25707 + 7.37346i −0.139445 + 0.241526i
\(933\) 23.6511 5.01256i 0.774302 0.164104i
\(934\) 26.6070 8.20717i 0.870608 0.268547i
\(935\) −1.02599 + 1.28656i −0.0335536 + 0.0420749i
\(936\) 14.3668 + 2.62477i 0.469595 + 0.0857933i
\(937\) 9.55923 + 41.8817i 0.312286 + 1.36822i 0.850751 + 0.525568i \(0.176147\pi\)
−0.538465 + 0.842648i \(0.680996\pi\)
\(938\) 39.7728 + 47.5774i 1.29863 + 1.55346i
\(939\) 7.09591 + 10.7637i 0.231566 + 0.351260i
\(940\) −0.685716 + 0.467513i −0.0223656 + 0.0152486i
\(941\) 12.3524 + 3.81023i 0.402678 + 0.124210i 0.489477 0.872016i \(-0.337188\pi\)
−0.0867990 + 0.996226i \(0.527664\pi\)
\(942\) −10.2097 11.3525i −0.332650 0.369885i
\(943\) 27.8881 71.0576i 0.908160 2.31396i
\(944\) −9.27585 + 4.46701i −0.301903 + 0.145389i
\(945\) −1.52355 + 4.55522i −0.0495612 + 0.148181i
\(946\) 0.408250 + 0.196603i 0.0132734 + 0.00639211i
\(947\) −14.8333 + 13.7633i −0.482017 + 0.447246i −0.883369 0.468677i \(-0.844731\pi\)
0.401353 + 0.915924i \(0.368540\pi\)
\(948\) −11.0430 + 15.6679i −0.358660 + 0.508871i
\(949\) 27.0057 46.7753i 0.876643 1.51839i
\(950\) 25.9364 44.9232i 0.841488 1.45750i
\(951\) −26.6218 2.41189i −0.863270 0.0782109i
\(952\) −5.16716 6.18110i −0.167469 0.200331i
\(953\) 7.38607 9.26184i 0.239258 0.300020i −0.647676 0.761916i \(-0.724259\pi\)
0.886934 + 0.461895i \(0.152830\pi\)
\(954\) 64.6142 28.6765i 2.09196 0.928436i
\(955\) −0.0456896 0.0220030i −0.00147848 0.000711999i
\(956\) −0.670647 8.94917i −0.0216903 0.289437i
\(957\) 19.0428 14.7076i 0.615567 0.475428i
\(958\) 10.5291 + 26.8278i 0.340181 + 0.866767i
\(959\) 30.3721 + 19.6959i 0.980768 + 0.636014i
\(960\) −0.806098 1.74270i −0.0260167 0.0562454i
\(961\) 6.47840 + 11.2209i 0.208981 + 0.361965i
\(962\) −64.5364 −2.08074
\(963\) 34.4202 + 11.8014i 1.10918 + 0.380296i
\(964\) −9.32317 40.8475i −0.300279 1.31561i
\(965\) −0.289345 3.86104i −0.00931434 0.124291i
\(966\) −69.3396 + 5.72209i −2.23097 + 0.184105i
\(967\) −2.73226 + 36.4595i −0.0878635 + 1.17246i 0.762760 + 0.646682i \(0.223844\pi\)
−0.850623 + 0.525775i \(0.823775\pi\)
\(968\) 8.58227 1.29357i 0.275845 0.0415769i
\(969\) 19.8028 + 22.0194i 0.636157 + 0.707366i
\(970\) −3.09414 + 2.87094i −0.0993468 + 0.0921804i
\(971\) 29.1930 + 14.0586i 0.936847 + 0.451162i 0.839056 0.544045i \(-0.183108\pi\)
0.0977914 + 0.995207i \(0.468822\pi\)
\(972\) 14.0526 + 17.7288i 0.450736 + 0.568650i
\(973\) 6.42006 11.7376i 0.205818 0.376290i
\(974\) −24.4560 + 22.6918i −0.783620 + 0.727093i
\(975\) −40.2749 + 2.38900i −1.28983 + 0.0765092i
\(976\) 6.25133 + 15.9281i 0.200100 + 0.509847i
\(977\) −16.2798 15.1054i −0.520836 0.483265i 0.375387 0.926868i \(-0.377510\pi\)
−0.896224 + 0.443603i \(0.853700\pi\)
\(978\) −17.5953 + 54.0438i −0.562635 + 1.72813i
\(979\) 3.10938 + 5.38560i 0.0993761 + 0.172125i
\(980\) 0.428334 + 3.52336i 0.0136826 + 0.112550i
\(981\) −32.8588 + 20.9363i −1.04910 + 0.668443i
\(982\) −0.307801 + 0.148229i −0.00982234 + 0.00473019i
\(983\) −38.7927 + 11.9660i −1.23730 + 0.381655i −0.843293 0.537454i \(-0.819386\pi\)
−0.394003 + 0.919109i \(0.628910\pi\)
\(984\) 13.0528 10.0812i 0.416109 0.321378i
\(985\) −4.06191 3.76890i −0.129423 0.120087i
\(986\) 46.7138 + 14.4093i 1.48767 + 0.458885i
\(987\) −2.15680 + 7.18395i −0.0686518 + 0.228668i
\(988\) −37.9072 + 11.6928i −1.20599 + 0.371998i
\(989\) −1.13896 0.548495i −0.0362169 0.0174411i
\(990\) −0.776000 + 2.97076i −0.0246629 + 0.0944171i
\(991\) −9.28717 + 4.47246i −0.295017 + 0.142072i −0.575537 0.817775i \(-0.695207\pi\)
0.280521 + 0.959848i \(0.409493\pi\)
\(992\) −10.6638 + 27.1709i −0.338576 + 0.862677i
\(993\) −3.49089 + 10.7222i −0.110780 + 0.340260i
\(994\) 3.51017 + 5.76803i 0.111336 + 0.182951i
\(995\) −0.145828 + 0.0994239i −0.00462306 + 0.00315195i
\(996\) −0.745619 + 0.415158i −0.0236258 + 0.0131548i
\(997\) −15.0219 + 38.2751i −0.475747 + 1.21218i 0.468652 + 0.883383i \(0.344740\pi\)
−0.944399 + 0.328802i \(0.893355\pi\)
\(998\) 23.2485 0.735919
\(999\) 28.4223 + 24.9209i 0.899241 + 0.788464i
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.ba.a.22.11 648
9.7 even 3 inner 441.2.ba.a.169.11 yes 648
49.29 even 7 inner 441.2.ba.a.274.11 yes 648
441.421 even 21 inner 441.2.ba.a.421.11 yes 648
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
441.2.ba.a.22.11 648 1.1 even 1 trivial
441.2.ba.a.169.11 yes 648 9.7 even 3 inner
441.2.ba.a.274.11 yes 648 49.29 even 7 inner
441.2.ba.a.421.11 yes 648 441.421 even 21 inner