Properties

Label 576.2.bm.a.13.84
Level $576$
Weight $2$
Character 576.13
Analytic conductor $4.599$
Analytic rank $0$
Dimension $1504$
CM no
Inner twists $4$

Related objects

Downloads

Learn more

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [576,2,Mod(13,576)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(576, base_ring=CyclotomicField(48))
 
chi = DirichletCharacter(H, H._module([0, 45, 16]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("576.13");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 576 = 2^{6} \cdot 3^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 576.bm (of order \(48\), degree \(16\), 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: \(4.59938315643\)
Analytic rank: \(0\)
Dimension: \(1504\)
Relative dimension: \(94\) over \(\Q(\zeta_{48})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{48}]$

Embedding invariants

Embedding label 13.84
Character \(\chi\) \(=\) 576.13
Dual form 576.2.bm.a.133.84

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(1.32235 - 0.501382i) q^{2} +(-0.461703 + 1.66938i) q^{3} +(1.49723 - 1.32601i) q^{4} +(1.02342 - 3.01489i) q^{5} +(0.226463 + 2.43900i) q^{6} +(0.246782 - 0.321612i) q^{7} +(1.31503 - 2.50413i) q^{8} +(-2.57366 - 1.54152i) q^{9} +O(q^{10})\) \(q+(1.32235 - 0.501382i) q^{2} +(-0.461703 + 1.66938i) q^{3} +(1.49723 - 1.32601i) q^{4} +(1.02342 - 3.01489i) q^{5} +(0.226463 + 2.43900i) q^{6} +(0.246782 - 0.321612i) q^{7} +(1.31503 - 2.50413i) q^{8} +(-2.57366 - 1.54152i) q^{9} +(-0.158293 - 4.49987i) q^{10} +(0.0306950 + 0.00201186i) q^{11} +(1.52233 + 3.11167i) q^{12} +(1.41910 - 1.61817i) q^{13} +(0.165082 - 0.549016i) q^{14} +(4.56048 + 3.10046i) q^{15} +(0.483408 - 3.97068i) q^{16} +(-1.86727 - 1.86727i) q^{17} +(-4.17617 - 0.748042i) q^{18} +(-0.587985 + 2.95600i) q^{19} +(-2.46548 - 5.87105i) q^{20} +(0.422953 + 0.560462i) q^{21} +(0.0415983 - 0.0127295i) q^{22} +(0.307515 - 0.235964i) q^{23} +(3.57320 + 3.35146i) q^{24} +(-4.07542 - 3.12718i) q^{25} +(1.06523 - 2.85130i) q^{26} +(3.76164 - 3.58469i) q^{27} +(-0.0569707 - 0.808762i) q^{28} +(-1.58793 + 3.22000i) q^{29} +(7.58508 + 1.81335i) q^{30} +(7.70724 + 4.44978i) q^{31} +(-1.35159 - 5.49301i) q^{32} +(-0.0175305 + 0.0503128i) q^{33} +(-3.40540 - 1.53297i) q^{34} +(-0.717065 - 1.07316i) q^{35} +(-5.89743 + 1.10468i) q^{36} +(1.68150 + 8.45345i) q^{37} +(0.704562 + 4.20368i) q^{38} +(2.04614 + 3.11613i) q^{39} +(-6.20387 - 6.52746i) q^{40} +(4.14937 - 3.18392i) q^{41} +(0.840298 + 0.529067i) q^{42} +(-0.0623595 + 0.951422i) q^{43} +(0.0486253 - 0.0376896i) q^{44} +(-7.28144 + 6.18169i) q^{45} +(0.288335 - 0.466210i) q^{46} +(-1.90835 + 7.12206i) q^{47} +(6.40539 + 2.64027i) q^{48} +(1.76920 + 6.60274i) q^{49} +(-6.95706 - 2.09189i) q^{50} +(3.97930 - 2.25505i) q^{51} +(-0.0209881 - 4.30451i) q^{52} +(5.23810 - 7.83938i) q^{53} +(3.17692 - 6.62625i) q^{54} +(0.0374794 - 0.0904832i) q^{55} +(-0.480834 - 1.04090i) q^{56} +(-4.66321 - 2.34637i) q^{57} +(-0.485350 + 5.05413i) q^{58} +(0.197777 - 0.582633i) q^{59} +(10.9393 - 1.40513i) q^{60} +(-11.4802 - 5.66143i) q^{61} +(12.4227 + 2.01990i) q^{62} +(-1.13090 + 0.447302i) q^{63} +(-4.54138 - 6.58604i) q^{64} +(-3.42628 - 5.93449i) q^{65} +(0.00204436 + 0.0753207i) q^{66} +(-0.204047 - 3.11315i) q^{67} +(-5.27174 - 0.319722i) q^{68} +(0.251934 + 0.622304i) q^{69} +(-1.48628 - 1.05958i) q^{70} +(4.00836 + 9.67703i) q^{71} +(-7.24461 + 4.41765i) q^{72} +(-2.06997 + 4.99736i) q^{73} +(6.46194 + 10.3354i) q^{74} +(7.10209 - 5.35960i) q^{75} +(3.03933 + 5.20549i) q^{76} +(0.00822200 - 0.00937540i) q^{77} +(4.26809 + 3.09472i) q^{78} +(-8.88811 - 2.38156i) q^{79} +(-11.4764 - 5.52109i) q^{80} +(4.24745 + 7.93468i) q^{81} +(3.89057 - 6.29069i) q^{82} +(-0.815000 + 0.276655i) q^{83} +(1.37643 + 0.278302i) q^{84} +(-7.54060 + 3.71861i) q^{85} +(0.394565 + 1.28938i) q^{86} +(-4.64225 - 4.13754i) q^{87} +(0.0454029 - 0.0742188i) q^{88} +(-12.1635 + 5.03828i) q^{89} +(-6.52924 + 11.8252i) q^{90} +(-0.170216 - 0.855733i) q^{91} +(0.147530 - 0.761060i) q^{92} +(-10.9868 + 10.8118i) q^{93} +(1.04736 + 10.3747i) q^{94} +(8.31027 + 4.79794i) q^{95} +(9.79396 + 0.279820i) q^{96} +(3.04756 - 1.75951i) q^{97} +(5.65000 + 7.84411i) q^{98} +(-0.0758972 - 0.0524947i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 1504 q - 8 q^{2} - 16 q^{3} - 8 q^{4} - 8 q^{5} - 16 q^{6} - 8 q^{7} - 32 q^{8} - 16 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 1504 q - 8 q^{2} - 16 q^{3} - 8 q^{4} - 8 q^{5} - 16 q^{6} - 8 q^{7} - 32 q^{8} - 16 q^{9} - 32 q^{10} - 8 q^{11} - 16 q^{12} - 8 q^{13} - 8 q^{14} - 16 q^{15} - 8 q^{16} - 32 q^{17} - 16 q^{18} - 32 q^{19} - 8 q^{20} - 16 q^{21} - 8 q^{22} - 8 q^{23} + 64 q^{24} - 8 q^{25} - 32 q^{26} - 16 q^{27} - 32 q^{28} - 8 q^{29} - 96 q^{30} - 8 q^{32} - 8 q^{34} - 32 q^{35} - 96 q^{36} - 32 q^{37} - 8 q^{38} - 16 q^{39} - 8 q^{40} - 8 q^{41} + 64 q^{42} - 8 q^{43} - 32 q^{44} - 16 q^{45} - 32 q^{46} - 8 q^{47} - 16 q^{48} - 8 q^{49} - 8 q^{50} - 16 q^{51} - 8 q^{52} - 32 q^{53} - 16 q^{54} - 32 q^{55} - 8 q^{56} - 16 q^{57} - 80 q^{58} - 8 q^{59} - 16 q^{60} - 8 q^{61} - 64 q^{62} - 32 q^{63} - 32 q^{64} - 16 q^{65} - 32 q^{66} - 8 q^{67} - 8 q^{68} - 16 q^{69} - 8 q^{70} - 32 q^{71} - 16 q^{72} - 32 q^{73} - 8 q^{74} - 16 q^{75} + 40 q^{76} - 8 q^{77} - 40 q^{78} - 8 q^{79} - 160 q^{80} - 16 q^{81} - 32 q^{82} - 8 q^{83} - 128 q^{84} - 8 q^{85} - 216 q^{86} - 16 q^{87} - 8 q^{88} - 32 q^{89} - 160 q^{90} - 32 q^{91} + 144 q^{92} - 40 q^{93} - 8 q^{94} - 152 q^{96} - 304 q^{98} - 16 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/576\mathbb{Z}\right)^\times\).

\(n\) \(65\) \(127\) \(325\)
\(\chi(n)\) \(e\left(\frac{1}{3}\right)\) \(1\) \(e\left(\frac{15}{16}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.32235 0.501382i 0.935044 0.354531i
\(3\) −0.461703 + 1.66938i −0.266565 + 0.963817i
\(4\) 1.49723 1.32601i 0.748616 0.663004i
\(5\) 1.02342 3.01489i 0.457686 1.34830i −0.436137 0.899880i \(-0.643654\pi\)
0.893823 0.448420i \(-0.148013\pi\)
\(6\) 0.226463 + 2.43900i 0.0924530 + 0.995717i
\(7\) 0.246782 0.321612i 0.0932747 0.121558i −0.744384 0.667751i \(-0.767257\pi\)
0.837659 + 0.546193i \(0.183924\pi\)
\(8\) 1.31503 2.50413i 0.464934 0.885345i
\(9\) −2.57366 1.54152i −0.857887 0.513839i
\(10\) −0.158293 4.49987i −0.0500568 1.42298i
\(11\) 0.0306950 + 0.00201186i 0.00925490 + 0.000606598i 0.0700299 0.997545i \(-0.477691\pi\)
−0.0607750 + 0.998151i \(0.519357\pi\)
\(12\) 1.52233 + 3.11167i 0.439460 + 0.898262i
\(13\) 1.41910 1.61817i 0.393587 0.448800i −0.520777 0.853693i \(-0.674358\pi\)
0.914364 + 0.404893i \(0.132691\pi\)
\(14\) 0.165082 0.549016i 0.0441199 0.146731i
\(15\) 4.56048 + 3.10046i 1.17751 + 0.800535i
\(16\) 0.483408 3.97068i 0.120852 0.992671i
\(17\) −1.86727 1.86727i −0.452879 0.452879i 0.443430 0.896309i \(-0.353761\pi\)
−0.896309 + 0.443430i \(0.853761\pi\)
\(18\) −4.17617 0.748042i −0.984334 0.176315i
\(19\) −0.587985 + 2.95600i −0.134893 + 0.678153i 0.852862 + 0.522137i \(0.174865\pi\)
−0.987755 + 0.156016i \(0.950135\pi\)
\(20\) −2.46548 5.87105i −0.551297 1.31281i
\(21\) 0.422953 + 0.560462i 0.0922959 + 0.122303i
\(22\) 0.0415983 0.0127295i 0.00886880 0.00271395i
\(23\) 0.307515 0.235964i 0.0641213 0.0492020i −0.576204 0.817306i \(-0.695466\pi\)
0.640325 + 0.768104i \(0.278800\pi\)
\(24\) 3.57320 + 3.35146i 0.729376 + 0.684113i
\(25\) −4.07542 3.12718i −0.815084 0.625436i
\(26\) 1.06523 2.85130i 0.208908 0.559186i
\(27\) 3.76164 3.58469i 0.723929 0.689875i
\(28\) −0.0569707 0.808762i −0.0107664 0.152842i
\(29\) −1.58793 + 3.22000i −0.294871 + 0.597939i −0.993011 0.118022i \(-0.962345\pi\)
0.698140 + 0.715961i \(0.254011\pi\)
\(30\) 7.58508 + 1.81335i 1.38484 + 0.331072i
\(31\) 7.70724 + 4.44978i 1.38426 + 0.799203i 0.992661 0.120932i \(-0.0385884\pi\)
0.391600 + 0.920136i \(0.371922\pi\)
\(32\) −1.35159 5.49301i −0.238930 0.971037i
\(33\) −0.0175305 + 0.0503128i −0.00305168 + 0.00875833i
\(34\) −3.40540 1.53297i −0.584021 0.262902i
\(35\) −0.717065 1.07316i −0.121206 0.181398i
\(36\) −5.89743 + 1.10468i −0.982905 + 0.184114i
\(37\) 1.68150 + 8.45345i 0.276436 + 1.38974i 0.830386 + 0.557189i \(0.188120\pi\)
−0.553950 + 0.832550i \(0.686880\pi\)
\(38\) 0.704562 + 4.20368i 0.114295 + 0.681927i
\(39\) 2.04614 + 3.11613i 0.327645 + 0.498980i
\(40\) −6.20387 6.52746i −0.980918 1.03208i
\(41\) 4.14937 3.18392i 0.648023 0.497245i −0.231666 0.972795i \(-0.574418\pi\)
0.879689 + 0.475550i \(0.157751\pi\)
\(42\) 0.840298 + 0.529067i 0.129661 + 0.0816368i
\(43\) −0.0623595 + 0.951422i −0.00950974 + 0.145091i 0.990464 + 0.137775i \(0.0439952\pi\)
−0.999973 + 0.00731523i \(0.997671\pi\)
\(44\) 0.0486253 0.0376896i 0.00733054 0.00568192i
\(45\) −7.28144 + 6.18169i −1.08545 + 0.921512i
\(46\) 0.288335 0.466210i 0.0425126 0.0687390i
\(47\) −1.90835 + 7.12206i −0.278362 + 1.03886i 0.675193 + 0.737641i \(0.264060\pi\)
−0.953555 + 0.301219i \(0.902607\pi\)
\(48\) 6.40539 + 2.64027i 0.924538 + 0.381090i
\(49\) 1.76920 + 6.60274i 0.252743 + 0.943249i
\(50\) −6.95706 2.09189i −0.983876 0.295838i
\(51\) 3.97930 2.25505i 0.557214 0.315771i
\(52\) −0.0209881 4.30451i −0.00291052 0.596928i
\(53\) 5.23810 7.83938i 0.719509 1.07682i −0.273851 0.961772i \(-0.588298\pi\)
0.993360 0.115049i \(-0.0367025\pi\)
\(54\) 3.17692 6.62625i 0.432324 0.901718i
\(55\) 0.0374794 0.0904832i 0.00505372 0.0122008i
\(56\) −0.480834 1.04090i −0.0642541 0.139097i
\(57\) −4.66321 2.34637i −0.617658 0.310784i
\(58\) −0.485350 + 5.05413i −0.0637296 + 0.663640i
\(59\) 0.197777 0.582633i 0.0257484 0.0758524i −0.933296 0.359108i \(-0.883081\pi\)
0.959045 + 0.283255i \(0.0914144\pi\)
\(60\) 10.9393 1.40513i 1.41226 0.181402i
\(61\) −11.4802 5.66143i −1.46990 0.724872i −0.481453 0.876472i \(-0.659891\pi\)
−0.988442 + 0.151600i \(0.951558\pi\)
\(62\) 12.4227 + 2.01990i 1.57769 + 0.256528i
\(63\) −1.13090 + 0.447302i −0.142480 + 0.0563548i
\(64\) −4.54138 6.58604i −0.567673 0.823254i
\(65\) −3.42628 5.93449i −0.424978 0.736083i
\(66\) 0.00204436 + 0.0753207i 0.000251643 + 0.00927134i
\(67\) −0.204047 3.11315i −0.0249283 0.380332i −0.992035 0.125961i \(-0.959798\pi\)
0.967107 0.254370i \(-0.0818682\pi\)
\(68\) −5.27174 0.319722i −0.639292 0.0387720i
\(69\) 0.251934 + 0.622304i 0.0303292 + 0.0749167i
\(70\) −1.48628 1.05958i −0.177644 0.126644i
\(71\) 4.00836 + 9.67703i 0.475704 + 1.14845i 0.961605 + 0.274438i \(0.0884918\pi\)
−0.485900 + 0.874014i \(0.661508\pi\)
\(72\) −7.24461 + 4.41765i −0.853786 + 0.520625i
\(73\) −2.06997 + 4.99736i −0.242272 + 0.584897i −0.997508 0.0705567i \(-0.977522\pi\)
0.755236 + 0.655453i \(0.227522\pi\)
\(74\) 6.46194 + 10.3354i 0.751185 + 1.20146i
\(75\) 7.10209 5.35960i 0.820079 0.618873i
\(76\) 3.03933 + 5.20549i 0.348635 + 0.597111i
\(77\) 0.00822200 0.00937540i 0.000936984 0.00106843i
\(78\) 4.26809 + 3.09472i 0.483266 + 0.350408i
\(79\) −8.88811 2.38156i −0.999991 0.267947i −0.278549 0.960422i \(-0.589853\pi\)
−0.721442 + 0.692475i \(0.756520\pi\)
\(80\) −11.4764 5.52109i −1.28311 0.617277i
\(81\) 4.24745 + 7.93468i 0.471939 + 0.881631i
\(82\) 3.89057 6.29069i 0.429641 0.694690i
\(83\) −0.815000 + 0.276655i −0.0894579 + 0.0303668i −0.365810 0.930690i \(-0.619208\pi\)
0.276352 + 0.961057i \(0.410875\pi\)
\(84\) 1.37643 + 0.278302i 0.150181 + 0.0303653i
\(85\) −7.54060 + 3.71861i −0.817893 + 0.403340i
\(86\) 0.394565 + 1.28938i 0.0425470 + 0.139038i
\(87\) −4.64225 4.13754i −0.497701 0.443591i
\(88\) 0.0454029 0.0742188i 0.00483997 0.00791175i
\(89\) −12.1635 + 5.03828i −1.28933 + 0.534057i −0.918785 0.394759i \(-0.870828\pi\)
−0.370542 + 0.928816i \(0.620828\pi\)
\(90\) −6.52924 + 11.8252i −0.688242 + 1.24648i
\(91\) −0.170216 0.855733i −0.0178435 0.0897052i
\(92\) 0.147530 0.761060i 0.0153811 0.0793460i
\(93\) −10.9868 + 10.8118i −1.13928 + 1.12113i
\(94\) 1.04736 + 10.3747i 0.108027 + 1.07007i
\(95\) 8.31027 + 4.79794i 0.852615 + 0.492258i
\(96\) 9.79396 + 0.279820i 0.999592 + 0.0285590i
\(97\) 3.04756 1.75951i 0.309433 0.178651i −0.337240 0.941419i \(-0.609493\pi\)
0.646673 + 0.762768i \(0.276160\pi\)
\(98\) 5.65000 + 7.84411i 0.570737 + 0.792375i
\(99\) −0.0758972 0.0524947i −0.00762796 0.00527592i
\(100\) −10.2485 + 0.721924i −1.02485 + 0.0721924i
\(101\) 8.60404 7.54554i 0.856134 0.750809i −0.113974 0.993484i \(-0.536358\pi\)
0.970108 + 0.242675i \(0.0780247\pi\)
\(102\) 4.13139 4.97713i 0.409069 0.492809i
\(103\) −1.82071 + 13.8296i −0.179400 + 1.36268i 0.630537 + 0.776159i \(0.282835\pi\)
−0.809937 + 0.586517i \(0.800499\pi\)
\(104\) −2.18596 5.68156i −0.214351 0.557123i
\(105\) 2.12259 0.701570i 0.207143 0.0684663i
\(106\) 2.99610 12.9927i 0.291007 1.26196i
\(107\) −10.4468 6.98034i −1.00993 0.674815i −0.0635878 0.997976i \(-0.520254\pi\)
−0.946344 + 0.323161i \(0.895254\pi\)
\(108\) 0.878725 10.3551i 0.0845553 0.996419i
\(109\) −2.27880 + 11.4563i −0.218269 + 1.09731i 0.703832 + 0.710366i \(0.251471\pi\)
−0.922101 + 0.386948i \(0.873529\pi\)
\(110\) 0.00419428 0.138442i 0.000399909 0.0131999i
\(111\) −14.8884 1.09593i −1.41314 0.104021i
\(112\) −1.15772 1.13536i −0.109395 0.107282i
\(113\) 2.59565 + 9.68709i 0.244178 + 0.911285i 0.973795 + 0.227429i \(0.0730318\pi\)
−0.729617 + 0.683856i \(0.760302\pi\)
\(114\) −7.34284 0.764671i −0.687720 0.0716180i
\(115\) −0.396691 1.16861i −0.0369916 0.108974i
\(116\) 1.89225 + 6.92669i 0.175691 + 0.643127i
\(117\) −6.14671 + 1.97706i −0.568264 + 0.182779i
\(118\) −0.0305905 0.869608i −0.00281608 0.0800539i
\(119\) −1.06134 + 0.139728i −0.0972931 + 0.0128089i
\(120\) 13.7612 7.34287i 1.25622 0.670309i
\(121\) −10.9050 1.43566i −0.991360 0.130515i
\(122\) −18.0195 1.73042i −1.63141 0.156665i
\(123\) 3.39940 + 8.39690i 0.306514 + 0.757123i
\(124\) 17.4400 3.55751i 1.56615 0.319474i
\(125\) −0.362562 + 0.242256i −0.0324285 + 0.0216681i
\(126\) −1.27118 + 1.15850i −0.113246 + 0.103208i
\(127\) 1.05243 0.0933885 0.0466942 0.998909i \(-0.485131\pi\)
0.0466942 + 0.998909i \(0.485131\pi\)
\(128\) −9.30743 6.43209i −0.822668 0.568522i
\(129\) −1.55949 0.543377i −0.137306 0.0478416i
\(130\) −7.50620 6.12961i −0.658337 0.537603i
\(131\) −1.47487 22.5021i −0.128860 1.96602i −0.235940 0.971768i \(-0.575817\pi\)
0.107080 0.994250i \(-0.465850\pi\)
\(132\) 0.0404678 + 0.0985755i 0.00352227 + 0.00857990i
\(133\) 0.805581 + 0.918589i 0.0698528 + 0.0796518i
\(134\) −1.83070 4.01438i −0.158148 0.346789i
\(135\) −6.95773 15.0096i −0.598826 1.29182i
\(136\) −7.13140 + 2.22037i −0.611513 + 0.190395i
\(137\) 3.86910 0.509377i 0.330559 0.0435190i 0.0365800 0.999331i \(-0.488354\pi\)
0.293979 + 0.955812i \(0.405020\pi\)
\(138\) 0.645157 + 0.696591i 0.0549194 + 0.0592978i
\(139\) −4.14562 8.40648i −0.351627 0.713028i 0.647156 0.762358i \(-0.275958\pi\)
−0.998783 + 0.0493294i \(0.984292\pi\)
\(140\) −2.49663 0.655941i −0.211004 0.0554371i
\(141\) −11.0083 6.47404i −0.927069 0.545213i
\(142\) 10.1524 + 10.7867i 0.851966 + 0.905202i
\(143\) 0.0468148 0.0468148i 0.00391485 0.00391485i
\(144\) −7.36500 + 9.47400i −0.613750 + 0.789500i
\(145\) 8.08283 + 8.08283i 0.671243 + 0.671243i
\(146\) −0.231649 + 7.64612i −0.0191714 + 0.632797i
\(147\) −11.8393 0.0950417i −0.976492 0.00783891i
\(148\) 13.7269 + 10.4271i 1.12835 + 0.857102i
\(149\) 6.39020 3.15130i 0.523505 0.258164i −0.161281 0.986909i \(-0.551562\pi\)
0.684786 + 0.728744i \(0.259896\pi\)
\(150\) 6.70426 10.6481i 0.547400 0.869417i
\(151\) 0.960797 + 7.29798i 0.0781886 + 0.593901i 0.985024 + 0.172417i \(0.0551575\pi\)
−0.906836 + 0.421485i \(0.861509\pi\)
\(152\) 6.62900 + 5.35963i 0.537683 + 0.434723i
\(153\) 1.92729 + 7.68413i 0.155812 + 0.621225i
\(154\) 0.00617173 0.0165199i 0.000497332 0.00133121i
\(155\) 21.3033 18.6825i 1.71112 1.50062i
\(156\) 7.19556 + 1.95237i 0.576106 + 0.156315i
\(157\) −21.8899 + 1.43474i −1.74701 + 0.114505i −0.905122 0.425151i \(-0.860221\pi\)
−0.841885 + 0.539656i \(0.818554\pi\)
\(158\) −12.9473 + 1.30707i −1.03003 + 0.103985i
\(159\) 10.6684 + 12.3639i 0.846063 + 0.980517i
\(160\) −17.9441 1.54674i −1.41860 0.122281i
\(161\) 0.157132i 0.0123837i
\(162\) 9.59494 + 8.36285i 0.753849 + 0.657047i
\(163\) 11.7145 + 17.5319i 0.917547 + 1.37321i 0.927728 + 0.373258i \(0.121759\pi\)
−0.0101807 + 0.999948i \(0.503241\pi\)
\(164\) 1.99066 10.2692i 0.155445 0.801887i
\(165\) 0.133746 + 0.104344i 0.0104122 + 0.00812315i
\(166\) −0.939007 + 0.774462i −0.0728811 + 0.0601099i
\(167\) −0.343578 + 2.60973i −0.0265869 + 0.201947i −0.999583 0.0288738i \(-0.990808\pi\)
0.972996 + 0.230821i \(0.0741412\pi\)
\(168\) 1.95967 0.322106i 0.151192 0.0248510i
\(169\) 1.09220 + 8.29610i 0.0840155 + 0.638161i
\(170\) −8.10689 + 8.69804i −0.621770 + 0.667109i
\(171\) 6.07000 6.70135i 0.464184 0.512465i
\(172\) 1.16823 + 1.50719i 0.0890765 + 0.114922i
\(173\) 9.09369 3.08689i 0.691380 0.234692i 0.0464357 0.998921i \(-0.485214\pi\)
0.644945 + 0.764229i \(0.276880\pi\)
\(174\) −8.21318 3.14374i −0.622639 0.238327i
\(175\) −2.01148 + 0.538974i −0.152053 + 0.0407426i
\(176\) 0.0228267 0.120908i 0.00172062 0.00911375i
\(177\) 0.881322 + 0.599169i 0.0662442 + 0.0450363i
\(178\) −13.5583 + 12.7609i −1.01624 + 0.956472i
\(179\) 12.2169 + 2.43009i 0.913133 + 0.181633i 0.629229 0.777220i \(-0.283371\pi\)
0.283903 + 0.958853i \(0.408371\pi\)
\(180\) −2.70503 + 18.9107i −0.201621 + 1.40952i
\(181\) 12.5041 18.7138i 0.929426 1.39098i 0.00904590 0.999959i \(-0.497121\pi\)
0.920380 0.391025i \(-0.127879\pi\)
\(182\) −0.654135 1.04624i −0.0484877 0.0775523i
\(183\) 14.7516 16.5510i 1.09047 1.22348i
\(184\) −0.186495 1.08036i −0.0137486 0.0796451i
\(185\) 27.2071 + 3.58188i 2.00031 + 0.263345i
\(186\) −9.10760 + 19.8057i −0.667801 + 1.45222i
\(187\) −0.0535591 0.0610725i −0.00391663 0.00446606i
\(188\) 6.58666 + 13.1939i 0.480382 + 0.962262i
\(189\) −0.224576 2.09443i −0.0163355 0.152347i
\(190\) 13.3947 + 2.17794i 0.971754 + 0.158005i
\(191\) 4.52183 + 7.83204i 0.327188 + 0.566707i 0.981953 0.189126i \(-0.0605655\pi\)
−0.654765 + 0.755833i \(0.727232\pi\)
\(192\) 13.0914 4.54050i 0.944788 0.327682i
\(193\) 2.30543 3.99313i 0.165949 0.287432i −0.771043 0.636783i \(-0.780265\pi\)
0.936992 + 0.349351i \(0.113598\pi\)
\(194\) 3.14776 3.85469i 0.225996 0.276750i
\(195\) 11.4888 2.97979i 0.822733 0.213387i
\(196\) 11.4042 + 7.53987i 0.814585 + 0.538562i
\(197\) 21.5468 4.28592i 1.53514 0.305359i 0.646126 0.763231i \(-0.276388\pi\)
0.889018 + 0.457872i \(0.151388\pi\)
\(198\) −0.126683 0.0313630i −0.00900296 0.00222887i
\(199\) −4.24496 10.2482i −0.300917 0.726479i −0.999935 0.0113747i \(-0.996379\pi\)
0.699018 0.715104i \(-0.253621\pi\)
\(200\) −13.1902 + 6.09306i −0.932687 + 0.430844i
\(201\) 5.29124 + 1.09672i 0.373215 + 0.0773567i
\(202\) 7.59437 14.2918i 0.534338 1.00557i
\(203\) 0.643719 + 1.30533i 0.0451802 + 0.0916164i
\(204\) 2.96772 8.65292i 0.207782 0.605826i
\(205\) −5.35265 15.7684i −0.373845 1.10131i
\(206\) 4.52632 + 19.2005i 0.315364 + 1.33777i
\(207\) −1.15518 + 0.133253i −0.0802907 + 0.00926172i
\(208\) −5.73924 6.41702i −0.397945 0.444940i
\(209\) −0.0239953 + 0.0895516i −0.00165979 + 0.00619441i
\(210\) 2.45505 1.99195i 0.169415 0.137458i
\(211\) 6.15884 + 5.40116i 0.423992 + 0.371831i 0.844588 0.535417i \(-0.179846\pi\)
−0.420596 + 0.907248i \(0.638179\pi\)
\(212\) −2.55241 18.6831i −0.175301 1.28316i
\(213\) −18.0053 + 2.22355i −1.23370 + 0.152355i
\(214\) −17.3142 3.99262i −1.18357 0.272930i
\(215\) 2.80462 + 1.16171i 0.191273 + 0.0792280i
\(216\) −4.02987 14.1337i −0.274198 0.961673i
\(217\) 3.33311 1.38062i 0.226266 0.0937224i
\(218\) 2.73061 + 16.2918i 0.184940 + 1.10342i
\(219\) −7.38678 5.76287i −0.499152 0.389419i
\(220\) −0.0638661 0.185172i −0.00430585 0.0124843i
\(221\) −5.67139 + 0.371723i −0.381499 + 0.0250048i
\(222\) −20.2372 + 6.01556i −1.35823 + 0.403738i
\(223\) 15.8032 9.12398i 1.05826 0.610987i 0.133310 0.991074i \(-0.457439\pi\)
0.924951 + 0.380088i \(0.124106\pi\)
\(224\) −2.10017 0.920886i −0.140323 0.0615293i
\(225\) 5.66815 + 14.3306i 0.377877 + 0.955375i
\(226\) 8.28930 + 11.5083i 0.551396 + 0.765523i
\(227\) 1.75169 3.55207i 0.116264 0.235759i −0.830960 0.556332i \(-0.812208\pi\)
0.947224 + 0.320572i \(0.103875\pi\)
\(228\) −10.0932 + 2.67040i −0.668439 + 0.176852i
\(229\) −22.1565 7.52112i −1.46414 0.497009i −0.528187 0.849128i \(-0.677128\pi\)
−0.935955 + 0.352118i \(0.885461\pi\)
\(230\) −1.11049 1.34643i −0.0732234 0.0887807i
\(231\) 0.0118550 + 0.0180543i 0.000780000 + 0.00118789i
\(232\) 5.97513 + 8.21079i 0.392287 + 0.539065i
\(233\) −4.03147 1.66989i −0.264110 0.109398i 0.246699 0.969092i \(-0.420654\pi\)
−0.510809 + 0.859694i \(0.670654\pi\)
\(234\) −7.13686 + 5.69622i −0.466551 + 0.372374i
\(235\) 19.5192 + 13.0423i 1.27329 + 0.850787i
\(236\) −0.476457 1.13459i −0.0310147 0.0738556i
\(237\) 8.07940 13.7381i 0.524814 0.892383i
\(238\) −1.33341 + 0.716908i −0.0864322 + 0.0464702i
\(239\) −20.4662 + 5.48389i −1.32385 + 0.354724i −0.850417 0.526108i \(-0.823651\pi\)
−0.473429 + 0.880832i \(0.656984\pi\)
\(240\) 14.5155 16.6094i 0.936972 1.07214i
\(241\) 6.33262 + 1.69682i 0.407920 + 0.109302i 0.456943 0.889496i \(-0.348944\pi\)
−0.0490235 + 0.998798i \(0.515611\pi\)
\(242\) −15.1400 + 3.56909i −0.973237 + 0.229430i
\(243\) −15.2071 + 3.42714i −0.975533 + 0.219851i
\(244\) −24.6957 + 6.74642i −1.58098 + 0.431895i
\(245\) 21.7172 + 1.42342i 1.38746 + 0.0909390i
\(246\) 8.70526 + 9.39927i 0.555027 + 0.599275i
\(247\) 3.94891 + 5.14631i 0.251263 + 0.327452i
\(248\) 21.2781 13.4484i 1.35116 0.853972i
\(249\) −0.0855545 1.48828i −0.00542180 0.0943157i
\(250\) −0.357972 + 0.502130i −0.0226401 + 0.0317575i
\(251\) −9.64587 + 1.91868i −0.608842 + 0.121106i −0.489876 0.871792i \(-0.662958\pi\)
−0.118966 + 0.992898i \(0.537958\pi\)
\(252\) −1.10010 + 2.16930i −0.0692996 + 0.136653i
\(253\) 0.00991390 0.00662425i 0.000623281 0.000416463i
\(254\) 1.39169 0.527672i 0.0873224 0.0331091i
\(255\) −2.72626 14.3050i −0.170725 0.895815i
\(256\) −15.5326 3.83892i −0.970790 0.239932i
\(257\) 14.5661 25.2293i 0.908611 1.57376i 0.0926147 0.995702i \(-0.470478\pi\)
0.815996 0.578058i \(-0.196189\pi\)
\(258\) −2.33464 + 0.0633669i −0.145348 + 0.00394505i
\(259\) 3.13369 + 1.54537i 0.194718 + 0.0960244i
\(260\) −12.9991 4.34204i −0.806171 0.269282i
\(261\) 9.05047 5.83936i 0.560210 0.361448i
\(262\) −13.2324 29.0162i −0.817503 1.79263i
\(263\) −0.919586 + 1.19843i −0.0567041 + 0.0738982i −0.820844 0.571152i \(-0.806497\pi\)
0.764140 + 0.645050i \(0.223163\pi\)
\(264\) 0.102937 + 0.110062i 0.00633532 + 0.00677383i
\(265\) −18.2741 23.8153i −1.12257 1.46296i
\(266\) 1.52583 + 0.810795i 0.0935544 + 0.0497130i
\(267\) −2.79488 22.6317i −0.171044 1.38504i
\(268\) −4.43356 4.39054i −0.270823 0.268195i
\(269\) −18.8821 3.75588i −1.15126 0.229000i −0.417676 0.908596i \(-0.637155\pi\)
−0.733587 + 0.679596i \(0.762155\pi\)
\(270\) −16.7261 16.3595i −1.01792 0.995607i
\(271\) −16.6291 + 16.6291i −1.01015 + 1.01015i −0.0101995 + 0.999948i \(0.503247\pi\)
−0.999948 + 0.0101995i \(0.996753\pi\)
\(272\) −8.31697 + 6.51167i −0.504291 + 0.394828i
\(273\) 1.50713 + 0.110940i 0.0912159 + 0.00671438i
\(274\) 4.86092 2.61347i 0.293659 0.157886i
\(275\) −0.118804 0.104188i −0.00716413 0.00628278i
\(276\) 1.20238 + 0.597668i 0.0723750 + 0.0359754i
\(277\) −1.39245 + 21.2447i −0.0836641 + 1.27647i 0.725227 + 0.688510i \(0.241735\pi\)
−0.808891 + 0.587958i \(0.799932\pi\)
\(278\) −9.69682 9.03779i −0.581577 0.542051i
\(279\) −12.9764 23.3330i −0.776877 1.39691i
\(280\) −3.63031 + 0.384382i −0.216952 + 0.0229712i
\(281\) 5.87335 + 4.50678i 0.350375 + 0.268852i 0.768921 0.639343i \(-0.220794\pi\)
−0.418547 + 0.908195i \(0.637460\pi\)
\(282\) −17.8029 3.04158i −1.06015 0.181124i
\(283\) 18.5377 + 6.29269i 1.10195 + 0.374062i 0.812400 0.583101i \(-0.198161\pi\)
0.289551 + 0.957163i \(0.406494\pi\)
\(284\) 18.8333 + 9.17365i 1.11755 + 0.544356i
\(285\) −11.8465 + 11.6578i −0.701723 + 0.690547i
\(286\) 0.0384335 0.0853777i 0.00227262 0.00504849i
\(287\) 2.12022i 0.125153i
\(288\) −4.98903 + 16.2207i −0.293981 + 0.955811i
\(289\) 10.0266i 0.589802i
\(290\) 14.7409 + 6.63577i 0.865618 + 0.389666i
\(291\) 1.53022 + 5.89991i 0.0897033 + 0.345859i
\(292\) 3.52730 + 10.2270i 0.206420 + 0.598490i
\(293\) −18.0246 6.11854i −1.05301 0.357449i −0.259333 0.965788i \(-0.583503\pi\)
−0.793677 + 0.608339i \(0.791836\pi\)
\(294\) −15.7034 + 5.81035i −0.915843 + 0.338867i
\(295\) −1.55417 1.19255i −0.0904871 0.0694332i
\(296\) 23.3798 + 6.90587i 1.35892 + 0.401395i
\(297\) 0.122676 0.102464i 0.00711836 0.00594558i
\(298\) 6.87009 7.37105i 0.397974 0.426994i
\(299\) 0.0545628 0.832468i 0.00315545 0.0481429i
\(300\) 3.52661 17.4420i 0.203609 1.00701i
\(301\) 0.290600 + 0.254849i 0.0167499 + 0.0146893i
\(302\) 4.92959 + 9.16877i 0.283666 + 0.527604i
\(303\) 8.62386 + 17.8472i 0.495428 + 1.02530i
\(304\) 11.4531 + 3.76366i 0.656880 + 0.215860i
\(305\) −28.8177 + 28.8177i −1.65010 + 1.65010i
\(306\) 6.40124 + 9.19482i 0.365934 + 0.525633i
\(307\) 23.1292 + 4.60069i 1.32005 + 0.262575i 0.804332 0.594180i \(-0.202523\pi\)
0.515723 + 0.856755i \(0.327523\pi\)
\(308\) −0.000121601 0.0249396i −6.92887e−6 0.00142106i
\(309\) −22.2463 9.42465i −1.26555 0.536150i
\(310\) 18.8034 35.3860i 1.06796 2.00979i
\(311\) −4.85209 6.32336i −0.275137 0.358565i 0.635262 0.772296i \(-0.280892\pi\)
−0.910399 + 0.413731i \(0.864225\pi\)
\(312\) 10.4939 1.02600i 0.594103 0.0580859i
\(313\) 8.76084 11.4174i 0.495192 0.645347i −0.477174 0.878809i \(-0.658339\pi\)
0.972366 + 0.233462i \(0.0750054\pi\)
\(314\) −28.2269 + 12.8725i −1.59293 + 0.726435i
\(315\) 0.191182 + 3.86732i 0.0107719 + 0.217899i
\(316\) −16.4655 + 8.21995i −0.926259 + 0.462408i
\(317\) 0.696789 + 0.343618i 0.0391355 + 0.0192995i 0.461751 0.887009i \(-0.347221\pi\)
−0.422616 + 0.906309i \(0.638888\pi\)
\(318\) 20.3065 + 11.0004i 1.13873 + 0.616872i
\(319\) −0.0552196 + 0.0956432i −0.00309171 + 0.00535499i
\(320\) −24.5039 + 6.95151i −1.36981 + 0.388601i
\(321\) 16.4762 14.2169i 0.919610 0.793508i
\(322\) −0.0787832 0.207784i −0.00439042 0.0115793i
\(323\) 6.61757 4.42172i 0.368211 0.246031i
\(324\) 16.8809 + 6.24790i 0.937826 + 0.347106i
\(325\) −10.8437 + 2.15695i −0.601502 + 0.119646i
\(326\) 24.2808 + 17.3100i 1.34479 + 0.958710i
\(327\) −18.0728 9.09360i −0.999428 0.502877i
\(328\) −2.51642 14.5775i −0.138946 0.804910i
\(329\) 1.81959 + 2.37134i 0.100318 + 0.130736i
\(330\) 0.229176 + 0.0709211i 0.0126157 + 0.00390408i
\(331\) −24.3837 1.59819i −1.34025 0.0878447i −0.621665 0.783283i \(-0.713544\pi\)
−0.718586 + 0.695438i \(0.755210\pi\)
\(332\) −0.853397 + 1.49491i −0.0468362 + 0.0820440i
\(333\) 8.70354 24.3484i 0.476951 1.33428i
\(334\) 0.854143 + 3.62325i 0.0467366 + 0.198256i
\(335\) −9.59463 2.57087i −0.524211 0.140462i
\(336\) 2.42987 1.40848i 0.132560 0.0768389i
\(337\) −1.56524 + 0.419404i −0.0852640 + 0.0228464i −0.301199 0.953561i \(-0.597387\pi\)
0.215935 + 0.976408i \(0.430720\pi\)
\(338\) 5.60379 + 10.4228i 0.304806 + 0.566923i
\(339\) −17.3699 0.139439i −0.943401 0.00757327i
\(340\) −6.35912 + 15.5665i −0.344872 + 0.844213i
\(341\) 0.227622 + 0.152092i 0.0123264 + 0.00823623i
\(342\) 4.66674 11.9049i 0.252348 0.643745i
\(343\) 5.18180 + 2.14637i 0.279791 + 0.115893i
\(344\) 2.30049 + 1.40731i 0.124034 + 0.0758770i
\(345\) 2.13401 0.122675i 0.114891 0.00660460i
\(346\) 10.4774 8.64137i 0.563266 0.464563i
\(347\) −22.4535 7.62193i −1.20537 0.409167i −0.354754 0.934960i \(-0.615435\pi\)
−0.850613 + 0.525793i \(0.823769\pi\)
\(348\) −12.4369 0.0391970i −0.666690 0.00210118i
\(349\) 15.1627 30.7469i 0.811641 1.64584i 0.0491977 0.998789i \(-0.484334\pi\)
0.762443 0.647055i \(-0.224000\pi\)
\(350\) −2.38965 + 1.72123i −0.127732 + 0.0920037i
\(351\) −0.462505 11.1740i −0.0246867 0.596425i
\(352\) −0.0304360 0.171327i −0.00162225 0.00913178i
\(353\) 0.292175 0.168688i 0.0155509 0.00897833i −0.492204 0.870480i \(-0.663809\pi\)
0.507755 + 0.861501i \(0.330475\pi\)
\(354\) 1.46583 + 0.350434i 0.0779080 + 0.0186254i
\(355\) 33.2774 2.18112i 1.76618 0.115762i
\(356\) −11.5308 + 23.6723i −0.611129 + 1.25463i
\(357\) 0.256765 1.83630i 0.0135895 0.0971871i
\(358\) 17.3734 2.91189i 0.918214 0.153898i
\(359\) 13.5262 5.60275i 0.713887 0.295702i 0.00397508 0.999992i \(-0.498735\pi\)
0.709912 + 0.704290i \(0.248735\pi\)
\(360\) 5.90446 + 26.3628i 0.311193 + 1.38944i
\(361\) 9.16150 + 3.79482i 0.482184 + 0.199727i
\(362\) 7.15214 31.0156i 0.375908 1.63014i
\(363\) 7.43152 17.5417i 0.390054 0.920699i
\(364\) −1.38956 1.05552i −0.0728328 0.0553245i
\(365\) 12.9480 + 11.3551i 0.677732 + 0.594355i
\(366\) 11.2084 29.2824i 0.585871 1.53062i
\(367\) −5.92767 + 22.1223i −0.309422 + 1.15478i 0.619650 + 0.784878i \(0.287274\pi\)
−0.929072 + 0.369899i \(0.879392\pi\)
\(368\) −0.788284 1.33511i −0.0410922 0.0695974i
\(369\) −15.5871 + 1.79801i −0.811434 + 0.0936009i
\(370\) 37.7733 8.90464i 1.96374 0.462930i
\(371\) −1.22857 3.61925i −0.0637842 0.187902i
\(372\) −2.11325 + 30.7564i −0.109567 + 1.59465i
\(373\) 5.62823 + 11.4129i 0.291419 + 0.590939i 0.992514 0.122129i \(-0.0389720\pi\)
−0.701096 + 0.713067i \(0.747305\pi\)
\(374\) −0.101445 0.0539057i −0.00524558 0.00278740i
\(375\) −0.237022 0.717104i −0.0122397 0.0370311i
\(376\) 15.3251 + 14.1445i 0.790330 + 0.729447i
\(377\) 2.95708 + 7.13903i 0.152298 + 0.367679i
\(378\) −1.34708 2.65697i −0.0692861 0.136660i
\(379\) −30.2723 + 6.02153i −1.55498 + 0.309305i −0.896415 0.443216i \(-0.853838\pi\)
−0.658568 + 0.752521i \(0.728838\pi\)
\(380\) 18.8045 3.83585i 0.964650 0.196775i
\(381\) −0.485913 + 1.75691i −0.0248941 + 0.0900094i
\(382\) 9.90630 + 8.08956i 0.506850 + 0.413898i
\(383\) −10.8027 + 18.7108i −0.551991 + 0.956077i 0.446140 + 0.894963i \(0.352798\pi\)
−0.998131 + 0.0611134i \(0.980535\pi\)
\(384\) 15.0349 12.5679i 0.767245 0.641354i
\(385\) −0.0198513 0.0343834i −0.00101171 0.00175234i
\(386\) 1.04651 6.43623i 0.0532661 0.327595i
\(387\) 1.62713 2.35251i 0.0827115 0.119585i
\(388\) 2.22978 6.67549i 0.113200 0.338897i
\(389\) −0.0245867 0.0280358i −0.00124660 0.00142147i 0.751216 0.660056i \(-0.229468\pi\)
−0.752463 + 0.658635i \(0.771134\pi\)
\(390\) 13.6983 9.70063i 0.693640 0.491211i
\(391\) −1.01482 0.133604i −0.0513217 0.00675663i
\(392\) 18.8607 + 4.25251i 0.952610 + 0.214784i
\(393\) 38.2455 + 7.92719i 1.92923 + 0.399874i
\(394\) 26.3435 16.4707i 1.32717 0.829780i
\(395\) −16.2764 + 24.3594i −0.818955 + 1.22565i
\(396\) −0.183244 + 0.0220435i −0.00920837 + 0.00110773i
\(397\) 9.40625 + 1.87102i 0.472086 + 0.0939038i 0.425399 0.905006i \(-0.360134\pi\)
0.0466869 + 0.998910i \(0.485134\pi\)
\(398\) −10.7516 11.4234i −0.538930 0.572606i
\(399\) −1.90541 + 0.920706i −0.0953900 + 0.0460929i
\(400\) −14.3871 + 14.6705i −0.719357 + 0.733525i
\(401\) −9.91791 + 2.65750i −0.495277 + 0.132709i −0.497807 0.867288i \(-0.665861\pi\)
0.00253037 + 0.999997i \(0.499195\pi\)
\(402\) 7.54676 1.20268i 0.376398 0.0599843i
\(403\) 18.1378 6.15696i 0.903509 0.306700i
\(404\) 2.87680 22.7064i 0.143126 1.12969i
\(405\) 28.2691 4.68512i 1.40470 0.232805i
\(406\) 1.50569 + 1.40336i 0.0747263 + 0.0696476i
\(407\) 0.0346064 + 0.262862i 0.00171538 + 0.0130296i
\(408\) −0.414051 12.9302i −0.0204986 0.640139i
\(409\) 4.33928 32.9601i 0.214564 1.62977i −0.457451 0.889235i \(-0.651237\pi\)
0.672014 0.740538i \(-0.265429\pi\)
\(410\) −14.9841 18.1676i −0.740010 0.897236i
\(411\) −0.936033 + 6.69418i −0.0461711 + 0.330199i
\(412\) 15.6122 + 23.1205i 0.769158 + 1.13906i
\(413\) −0.138574 0.207391i −0.00681878 0.0102050i
\(414\) −1.46075 + 0.755395i −0.0717918 + 0.0371256i
\(415\) 2.74027i 0.134515i
\(416\) −10.8067 5.60801i −0.529841 0.274956i
\(417\) 15.9477 3.03931i 0.780960 0.148836i
\(418\) 0.0131693 + 0.130450i 0.000644134 + 0.00638049i
\(419\) −30.6600 + 2.00956i −1.49784 + 0.0981735i −0.792140 0.610339i \(-0.791033\pi\)
−0.705698 + 0.708513i \(0.749366\pi\)
\(420\) 2.24772 3.86498i 0.109677 0.188592i
\(421\) −10.2199 + 8.96263i −0.498088 + 0.436812i −0.871166 0.490988i \(-0.836636\pi\)
0.373078 + 0.927800i \(0.378302\pi\)
\(422\) 10.8522 + 4.05431i 0.528277 + 0.197360i
\(423\) 15.8902 15.3880i 0.772609 0.748191i
\(424\) −12.7426 23.4259i −0.618834 1.13766i
\(425\) 1.77062 + 13.4492i 0.0858876 + 0.652381i
\(426\) −22.6945 + 11.9679i −1.09955 + 0.579845i
\(427\) −4.65390 + 2.29505i −0.225218 + 0.111065i
\(428\) −24.8973 + 3.40137i −1.20346 + 0.164411i
\(429\) 0.0565371 + 0.0997662i 0.00272964 + 0.00481676i
\(430\) 4.29115 + 0.130006i 0.206938 + 0.00626944i
\(431\) 15.9011 + 15.9011i 0.765928 + 0.765928i 0.977387 0.211459i \(-0.0678215\pi\)
−0.211459 + 0.977387i \(0.567821\pi\)
\(432\) −12.4153 16.6692i −0.597330 0.801996i
\(433\) 20.6366 20.6366i 0.991731 0.991731i −0.00823523 0.999966i \(-0.502621\pi\)
0.999966 + 0.00823523i \(0.00262139\pi\)
\(434\) 3.71532 3.49682i 0.178341 0.167853i
\(435\) −17.2252 + 9.76145i −0.825885 + 0.468026i
\(436\) 11.7792 + 20.1744i 0.564124 + 0.966181i
\(437\) 0.516697 + 1.04776i 0.0247170 + 0.0501210i
\(438\) −12.6573 3.91695i −0.604790 0.187159i
\(439\) 5.93294 0.781087i 0.283164 0.0372792i 0.0123935 0.999923i \(-0.496055\pi\)
0.270770 + 0.962644i \(0.412722\pi\)
\(440\) −0.177296 0.212842i −0.00845223 0.0101468i
\(441\) 5.62492 19.7205i 0.267853 0.939070i
\(442\) −7.31320 + 3.33508i −0.347854 + 0.158634i
\(443\) −25.1439 28.6711i −1.19462 1.36221i −0.915685 0.401897i \(-0.868351\pi\)
−0.278937 0.960309i \(-0.589982\pi\)
\(444\) −23.7446 + 18.1012i −1.12687 + 0.859047i
\(445\) 2.74154 + 41.8279i 0.129962 + 1.98283i
\(446\) 16.3228 19.9886i 0.772907 0.946486i
\(447\) 2.31034 + 12.1226i 0.109275 + 0.573381i
\(448\) −3.23888 0.164750i −0.153023 0.00778368i
\(449\) −3.11348 −0.146934 −0.0734671 0.997298i \(-0.523406\pi\)
−0.0734671 + 0.997298i \(0.523406\pi\)
\(450\) 14.6804 + 16.1082i 0.692041 + 0.759350i
\(451\) 0.133771 0.0893827i 0.00629901 0.00420886i
\(452\) 16.7314 + 11.0620i 0.786981 + 0.520312i
\(453\) −12.6267 1.76557i −0.593254 0.0829535i
\(454\) 0.535404 5.57536i 0.0251278 0.261665i
\(455\) −2.75415 0.362590i −0.129116 0.0169985i
\(456\) −12.0079 + 8.59177i −0.562321 + 0.402346i
\(457\) 17.0061 2.23890i 0.795512 0.104731i 0.278195 0.960525i \(-0.410264\pi\)
0.517317 + 0.855794i \(0.326931\pi\)
\(458\) −33.0697 + 1.16330i −1.54524 + 0.0543575i
\(459\) −13.7176 0.330415i −0.640281 0.0154225i
\(460\) −2.14353 1.22367i −0.0999426 0.0570539i
\(461\) −3.59401 10.5876i −0.167390 0.493114i 0.830573 0.556909i \(-0.188013\pi\)
−0.997963 + 0.0637950i \(0.979680\pi\)
\(462\) 0.0247286 + 0.0179303i 0.00115048 + 0.000834192i
\(463\) −1.64657 6.14510i −0.0765228 0.285587i 0.917051 0.398769i \(-0.130562\pi\)
−0.993574 + 0.113182i \(0.963896\pi\)
\(464\) 12.0180 + 7.86173i 0.557920 + 0.364972i
\(465\) 21.3524 + 44.1891i 0.990194 + 2.04922i
\(466\) −6.16828 0.186876i −0.285740 0.00865686i
\(467\) −5.41817 + 27.2390i −0.250723 + 1.26047i 0.626132 + 0.779717i \(0.284637\pi\)
−0.876856 + 0.480754i \(0.840363\pi\)
\(468\) −6.58146 + 11.1107i −0.304228 + 0.513592i
\(469\) −1.05158 0.702644i −0.0485575 0.0324451i
\(470\) 32.3505 + 7.45996i 1.49222 + 0.344102i
\(471\) 7.71153 37.2051i 0.355328 1.71432i
\(472\) −1.19891 1.26144i −0.0551842 0.0580626i
\(473\) −0.00382825 + 0.0290785i −0.000176023 + 0.00133703i
\(474\) 3.79580 22.2174i 0.174347 1.02048i
\(475\) 11.6402 10.2082i 0.534091 0.468385i
\(476\) −1.40379 + 1.61655i −0.0643428 + 0.0740946i
\(477\) −25.5656 + 12.1013i −1.17057 + 0.554079i
\(478\) −24.3140 + 17.5130i −1.11209 + 0.801026i
\(479\) −9.88681 + 5.70815i −0.451740 + 0.260812i −0.708565 0.705646i \(-0.750657\pi\)
0.256825 + 0.966458i \(0.417324\pi\)
\(480\) 10.8669 29.2414i 0.496006 1.33468i
\(481\) 16.0653 + 9.27533i 0.732516 + 0.422918i
\(482\) 9.22471 0.931267i 0.420174 0.0424180i
\(483\) 0.262313 + 0.0725484i 0.0119357 + 0.00330107i
\(484\) −18.2310 + 12.3105i −0.828680 + 0.559570i
\(485\) −2.18581 10.9888i −0.0992523 0.498975i
\(486\) −18.3908 + 12.1564i −0.834223 + 0.551427i
\(487\) 25.2253 10.4487i 1.14307 0.473474i 0.270863 0.962618i \(-0.412691\pi\)
0.872203 + 0.489144i \(0.162691\pi\)
\(488\) −29.2739 + 21.3031i −1.32517 + 0.964347i
\(489\) −34.6760 + 11.4613i −1.56810 + 0.518299i
\(490\) 29.4315 9.00635i 1.32958 0.406865i
\(491\) −36.9900 + 18.2414i −1.66933 + 0.823225i −0.672820 + 0.739806i \(0.734917\pi\)
−0.996515 + 0.0834184i \(0.973416\pi\)
\(492\) 16.2240 + 8.06448i 0.731437 + 0.363575i
\(493\) 8.97768 3.04751i 0.404334 0.137253i
\(494\) 7.80211 + 4.82533i 0.351034 + 0.217102i
\(495\) −0.235940 + 0.175098i −0.0106047 + 0.00787007i
\(496\) 21.3944 28.4519i 0.960636 1.27753i
\(497\) 4.10144 + 1.09898i 0.183975 + 0.0492958i
\(498\) −0.859329 1.92513i −0.0385074 0.0862672i
\(499\) 2.16111 2.46427i 0.0967445 0.110316i −0.701442 0.712727i \(-0.747460\pi\)
0.798186 + 0.602411i \(0.205793\pi\)
\(500\) −0.221606 + 0.843474i −0.00991052 + 0.0377213i
\(501\) −4.19801 1.77849i −0.187553 0.0794569i
\(502\) −11.7932 + 7.37344i −0.526358 + 0.329093i
\(503\) −4.07027 + 9.82651i −0.181484 + 0.438142i −0.988273 0.152698i \(-0.951204\pi\)
0.806788 + 0.590840i \(0.201204\pi\)
\(504\) −0.367068 + 3.42015i −0.0163505 + 0.152345i
\(505\) −13.9435 33.6625i −0.620476 1.49796i
\(506\) 0.00978838 0.0137302i 0.000435147 0.000610384i
\(507\) −14.3536 2.00704i −0.637466 0.0891356i
\(508\) 1.57574 1.39554i 0.0699121 0.0619169i
\(509\) 1.66370 + 25.3832i 0.0737423 + 1.12509i 0.861047 + 0.508525i \(0.169809\pi\)
−0.787305 + 0.616564i \(0.788524\pi\)
\(510\) −10.7774 17.5494i −0.477229 0.777100i
\(511\) 1.09638 + 1.89898i 0.0485010 + 0.0840061i
\(512\) −22.4644 + 2.71138i −0.992795 + 0.119827i
\(513\) 8.38457 + 13.2272i 0.370188 + 0.583994i
\(514\) 6.61205 40.6652i 0.291645 1.79367i
\(515\) 39.8315 + 19.6427i 1.75519 + 0.865563i
\(516\) −3.05545 + 1.25434i −0.134509 + 0.0552192i
\(517\) −0.0729054 + 0.214773i −0.00320638 + 0.00944568i
\(518\) 4.91867 + 0.472342i 0.216114 + 0.0207535i
\(519\) 0.954609 + 16.6061i 0.0419027 + 0.728925i
\(520\) −19.3664 + 0.775820i −0.849274 + 0.0340219i
\(521\) 14.5210 35.0567i 0.636174 1.53586i −0.195562 0.980691i \(-0.562653\pi\)
0.831737 0.555170i \(-0.187347\pi\)
\(522\) 9.04016 12.2594i 0.395677 0.536581i
\(523\) −3.81103 + 5.70362i −0.166645 + 0.249402i −0.905388 0.424586i \(-0.860420\pi\)
0.738743 + 0.673987i \(0.235420\pi\)
\(524\) −32.0462 31.7352i −1.39994 1.38636i
\(525\) 0.0289538 3.60677i 0.00126365 0.157412i
\(526\) −0.615146 + 2.04581i −0.0268217 + 0.0892014i
\(527\) −6.08255 22.7004i −0.264960 0.988844i
\(528\) 0.191302 + 0.0939298i 0.00832533 + 0.00408777i
\(529\) −5.91395 + 22.0712i −0.257128 + 0.959616i
\(530\) −36.1054 22.3299i −1.56832 0.969948i
\(531\) −1.40715 + 1.19462i −0.0610651 + 0.0518422i
\(532\) 2.42420 + 0.307135i 0.105102 + 0.0133160i
\(533\) 0.736229 11.2327i 0.0318896 0.486542i
\(534\) −15.0429 28.5257i −0.650971 1.23443i
\(535\) −31.7364 + 24.3522i −1.37209 + 1.05284i
\(536\) −8.06407 3.58293i −0.348315 0.154759i
\(537\) −9.69732 + 19.2726i −0.418470 + 0.831676i
\(538\) −26.8519 + 4.50055i −1.15767 + 0.194032i
\(539\) 0.0410219 + 0.206231i 0.00176694 + 0.00888299i
\(540\) −30.3202 13.2468i −1.30477 0.570053i
\(541\) −0.433541 0.648840i −0.0186394 0.0278958i 0.822033 0.569440i \(-0.192840\pi\)
−0.840672 + 0.541544i \(0.817840\pi\)
\(542\) −13.6520 + 30.3271i −0.586405 + 1.30266i
\(543\) 25.4672 + 29.5144i 1.09290 + 1.26658i
\(544\) −7.73314 + 12.7807i −0.331555 + 0.547968i
\(545\) 32.2073 + 18.5949i 1.37961 + 0.796519i
\(546\) 2.04859 0.608948i 0.0876714 0.0260606i
\(547\) 20.6517 41.8774i 0.883001 1.79055i 0.387988 0.921665i \(-0.373170\pi\)
0.495014 0.868885i \(-0.335163\pi\)
\(548\) 5.11750 5.89311i 0.218609 0.251741i
\(549\) 20.8191 + 32.2676i 0.888536 + 1.37715i
\(550\) −0.209338 0.0782073i −0.00892622 0.00333477i
\(551\) −8.58464 6.58723i −0.365718 0.280625i
\(552\) 1.88964 + 0.187475i 0.0804282 + 0.00797945i
\(553\) −2.95936 + 2.27080i −0.125845 + 0.0965641i
\(554\) 8.81038 + 28.7911i 0.374317 + 1.22322i
\(555\) −18.5411 + 43.7652i −0.787028 + 1.85773i
\(556\) −17.3540 7.08933i −0.735974 0.300655i
\(557\) −3.07892 + 15.4788i −0.130458 + 0.655856i 0.859110 + 0.511791i \(0.171018\pi\)
−0.989568 + 0.144066i \(0.953982\pi\)
\(558\) −28.8582 24.3484i −1.22166 1.03075i
\(559\) 1.45107 + 1.45107i 0.0613737 + 0.0613737i
\(560\) −4.60782 + 2.32846i −0.194716 + 0.0983954i
\(561\) 0.126682 0.0612132i 0.00534850 0.00258442i
\(562\) 10.0263 + 3.01476i 0.422932 + 0.127170i
\(563\) 13.2852 15.1488i 0.559903 0.638447i −0.400754 0.916186i \(-0.631252\pi\)
0.960657 + 0.277739i \(0.0895850\pi\)
\(564\) −25.0667 + 4.90399i −1.05550 + 0.206495i
\(565\) 31.8620 + 2.08834i 1.34044 + 0.0878573i
\(566\) 27.6684 0.973300i 1.16299 0.0409108i
\(567\) 3.60008 + 0.592101i 0.151189 + 0.0248659i
\(568\) 29.5037 + 2.68814i 1.23795 + 0.112792i
\(569\) 5.21444 6.79560i 0.218601 0.284886i −0.671161 0.741312i \(-0.734204\pi\)
0.889762 + 0.456426i \(0.150871\pi\)
\(570\) −9.82019 + 21.3553i −0.411323 + 0.894474i
\(571\) 3.41000 10.0455i 0.142704 0.420392i −0.851954 0.523616i \(-0.824583\pi\)
0.994658 + 0.103224i \(0.0329159\pi\)
\(572\) 0.00801584 0.132169i 0.000335159 0.00552628i
\(573\) −15.1624 + 3.93258i −0.633418 + 0.164286i
\(574\) −1.06304 2.80368i −0.0443705 0.117023i
\(575\) −1.99116 −0.0830369
\(576\) 1.53549 + 23.9508i 0.0639786 + 0.997951i
\(577\) −14.2572 −0.593536 −0.296768 0.954950i \(-0.595909\pi\)
−0.296768 + 0.954950i \(0.595909\pi\)
\(578\) −5.02717 13.2587i −0.209103 0.551491i
\(579\) 5.60163 + 5.69229i 0.232796 + 0.236563i
\(580\) 22.8198 + 1.38398i 0.947540 + 0.0574666i
\(581\) −0.112151 + 0.330387i −0.00465282 + 0.0137068i
\(582\) 4.98160 + 7.03454i 0.206494 + 0.291591i
\(583\) 0.176555 0.230091i 0.00731218 0.00952942i
\(584\) 9.79198 + 11.7552i 0.405195 + 0.486433i
\(585\) −0.330037 + 20.5550i −0.0136454 + 0.849846i
\(586\) −26.9027 + 0.946363i −1.11134 + 0.0390939i
\(587\) −17.7737 1.16495i −0.733598 0.0480825i −0.305975 0.952040i \(-0.598982\pi\)
−0.427623 + 0.903957i \(0.640649\pi\)
\(588\) −17.8523 + 15.5568i −0.736215 + 0.641550i
\(589\) −17.6853 + 20.1662i −0.728709 + 0.830934i
\(590\) −2.65308 0.797746i −0.109226 0.0328427i
\(591\) −2.79339 + 37.9486i −0.114905 + 1.56100i
\(592\) 34.3788 2.59022i 1.41296 0.106457i
\(593\) −23.4360 23.4360i −0.962400 0.962400i 0.0369182 0.999318i \(-0.488246\pi\)
−0.999318 + 0.0369182i \(0.988246\pi\)
\(594\) 0.110847 0.197001i 0.00454809 0.00808306i
\(595\) −0.664931 + 3.34283i −0.0272595 + 0.137043i
\(596\) 5.38896 13.1917i 0.220741 0.540352i
\(597\) 19.0681 2.35481i 0.780407 0.0963758i
\(598\) −0.345233 1.12817i −0.0141176 0.0461344i
\(599\) −5.49686 + 4.21789i −0.224595 + 0.172338i −0.714930 0.699196i \(-0.753541\pi\)
0.490334 + 0.871534i \(0.336875\pi\)
\(600\) −4.08168 24.8326i −0.166634 1.01379i
\(601\) −28.1306 21.5854i −1.14747 0.880487i −0.153289 0.988181i \(-0.548986\pi\)
−0.994184 + 0.107695i \(0.965653\pi\)
\(602\) 0.512052 + 0.191299i 0.0208697 + 0.00779676i
\(603\) −4.27383 + 8.32673i −0.174044 + 0.339091i
\(604\) 11.1157 + 9.65274i 0.452292 + 0.392765i
\(605\) −15.4887 + 31.4080i −0.629705 + 1.27692i
\(606\) 20.3521 + 19.2765i 0.826746 + 0.783052i
\(607\) −19.9745 11.5323i −0.810739 0.468080i 0.0364738 0.999335i \(-0.488387\pi\)
−0.847212 + 0.531255i \(0.821721\pi\)
\(608\) 17.0321 0.765500i 0.690742 0.0310451i
\(609\) −2.47630 + 0.471935i −0.100345 + 0.0191238i
\(610\) −23.6585 + 52.5558i −0.957904 + 2.12792i
\(611\) 8.81658 + 13.1949i 0.356681 + 0.533810i
\(612\) 13.0748 + 8.94933i 0.528518 + 0.361755i
\(613\) 4.46840 + 22.4642i 0.180477 + 0.907319i 0.959798 + 0.280693i \(0.0905643\pi\)
−0.779321 + 0.626625i \(0.784436\pi\)
\(614\) 32.8917 5.51285i 1.32740 0.222480i
\(615\) 28.7948 1.65528i 1.16112 0.0667475i
\(616\) −0.0126651 0.0329179i −0.000510290 0.00132630i
\(617\) −26.6562 + 20.4541i −1.07314 + 0.823449i −0.984982 0.172657i \(-0.944765\pi\)
−0.0881581 + 0.996106i \(0.528098\pi\)
\(618\) −34.1428 1.30880i −1.37343 0.0526478i
\(619\) −1.99247 + 30.3992i −0.0800841 + 1.22185i 0.748942 + 0.662636i \(0.230562\pi\)
−0.829026 + 0.559211i \(0.811104\pi\)
\(620\) 7.12286 56.2204i 0.286061 2.25787i
\(621\) 0.310901 1.98996i 0.0124760 0.0798543i
\(622\) −9.58659 5.92896i −0.384387 0.237730i
\(623\) −1.38135 + 5.15528i −0.0553427 + 0.206542i
\(624\) 13.3623 6.61821i 0.534919 0.264940i
\(625\) −6.28839 23.4686i −0.251535 0.938743i
\(626\) 5.86047 19.4903i 0.234231 0.778989i
\(627\) −0.138417 0.0814035i −0.00552784 0.00325094i
\(628\) −30.8718 + 31.1744i −1.23192 + 1.24399i
\(629\) 12.6450 18.9246i 0.504191 0.754575i
\(630\) 2.19182 + 5.01811i 0.0873241 + 0.199926i
\(631\) 4.66633 11.2655i 0.185764 0.448473i −0.803372 0.595477i \(-0.796963\pi\)
0.989136 + 0.147004i \(0.0469631\pi\)
\(632\) −17.6519 + 19.1252i −0.702155 + 0.760759i
\(633\) −11.8602 + 7.78772i −0.471399 + 0.309534i
\(634\) 1.09368 + 0.105027i 0.0434357 + 0.00417115i
\(635\) 1.07708 3.17298i 0.0427426 0.125916i
\(636\) 32.3677 + 4.36511i 1.28346 + 0.173088i
\(637\) 13.1950 + 6.50707i 0.522806 + 0.257820i
\(638\) −0.0250660 + 0.154160i −0.000992374 + 0.00610326i
\(639\) 4.60116 31.0843i 0.182019 1.22968i
\(640\) −28.9175 + 21.4782i −1.14306 + 0.848999i
\(641\) −0.667660 1.15642i −0.0263710 0.0456759i 0.852539 0.522664i \(-0.175062\pi\)
−0.878910 + 0.476988i \(0.841728\pi\)
\(642\) 14.6592 27.0606i 0.578553 1.06799i
\(643\) −0.298663 4.55671i −0.0117781 0.179699i −0.999695 0.0247121i \(-0.992133\pi\)
0.987917 0.154987i \(-0.0495336\pi\)
\(644\) −0.208358 0.235263i −0.00821047 0.00927067i
\(645\) −3.23424 + 4.14560i −0.127348 + 0.163233i
\(646\) 6.53379 9.16500i 0.257068 0.360592i
\(647\) 14.6847 + 35.4520i 0.577316 + 1.39376i 0.895213 + 0.445639i \(0.147023\pi\)
−0.317897 + 0.948125i \(0.602977\pi\)
\(648\) 25.4550 0.201833i 0.999969 0.00792874i
\(649\) 0.00724295 0.0174860i 0.000284311 0.000686387i
\(650\) −13.2578 + 8.28911i −0.520013 + 0.325125i
\(651\) 0.765869 + 6.20166i 0.0300168 + 0.243062i
\(652\) 40.7867 + 10.7159i 1.59733 + 0.419667i
\(653\) 2.67093 3.04562i 0.104522 0.119184i −0.697214 0.716864i \(-0.745577\pi\)
0.801735 + 0.597679i \(0.203910\pi\)
\(654\) −28.4580 2.96357i −1.11279 0.115885i
\(655\) −69.3508 18.5825i −2.70976 0.726078i
\(656\) −10.6365 18.0150i −0.415286 0.703366i
\(657\) 13.0309 9.67060i 0.508385 0.377286i
\(658\) 3.59509 + 2.22344i 0.140151 + 0.0866786i
\(659\) −20.6532 + 7.01080i −0.804533 + 0.273102i −0.693260 0.720688i \(-0.743826\pi\)
−0.111273 + 0.993790i \(0.535493\pi\)
\(660\) 0.338610 0.0211221i 0.0131804 0.000822178i
\(661\) −3.23699 + 1.59631i −0.125904 + 0.0620892i −0.504150 0.863616i \(-0.668194\pi\)
0.378246 + 0.925705i \(0.376527\pi\)
\(662\) −33.0452 + 10.1122i −1.28434 + 0.393021i
\(663\) 1.99795 9.63933i 0.0775941 0.374361i
\(664\) −0.378969 + 2.40468i −0.0147069 + 0.0933197i
\(665\) 3.59389 1.48864i 0.139365 0.0577270i
\(666\) −0.698688 36.5609i −0.0270736 1.41671i
\(667\) 0.271494 + 1.36489i 0.0105123 + 0.0528488i
\(668\) 2.94611 + 4.36296i 0.113988 + 0.168808i
\(669\) 7.93500 + 30.5941i 0.306785 + 1.18284i
\(670\) −13.9765 + 1.41097i −0.539958 + 0.0545107i
\(671\) −0.340996 0.196874i −0.0131640 0.00760025i
\(672\) 2.50696 3.08080i 0.0967082 0.118844i
\(673\) −22.1571 + 12.7924i −0.854094 + 0.493112i −0.862030 0.506857i \(-0.830807\pi\)
0.00793579 + 0.999969i \(0.497474\pi\)
\(674\) −1.85952 + 1.33938i −0.0716258 + 0.0515911i
\(675\) −26.5403 + 2.84579i −1.02154 + 0.109535i
\(676\) 12.6360 + 10.9729i 0.485999 + 0.422035i
\(677\) 6.27589 5.50381i 0.241202 0.211528i −0.530207 0.847868i \(-0.677886\pi\)
0.771409 + 0.636340i \(0.219552\pi\)
\(678\) −23.0390 + 8.52455i −0.884807 + 0.327383i
\(679\) 0.186202 1.41435i 0.00714579 0.0542777i
\(680\) −0.604225 + 23.7728i −0.0231710 + 0.911644i
\(681\) 5.12100 + 4.56424i 0.196237 + 0.174902i
\(682\) 0.377252 + 0.0869937i 0.0144457 + 0.00333116i
\(683\) −29.1547 19.4806i −1.11557 0.745403i −0.145777 0.989317i \(-0.546568\pi\)
−0.969797 + 0.243915i \(0.921568\pi\)
\(684\) 0.202153 18.0823i 0.00772951 0.691396i
\(685\) 2.42399 12.1862i 0.0926159 0.465612i
\(686\) 7.92832 + 0.240199i 0.302705 + 0.00917083i
\(687\) 22.7853 33.5151i 0.869315 1.27868i
\(688\) 3.74765 + 0.707535i 0.142878 + 0.0269745i
\(689\) −5.25207 19.6010i −0.200088 0.746738i
\(690\) 2.76041 1.23218i 0.105087 0.0469081i
\(691\) −11.3347 33.3910i −0.431193 1.27025i −0.917943 0.396713i \(-0.870151\pi\)
0.486750 0.873542i \(-0.338182\pi\)
\(692\) 9.52212 16.6801i 0.361977 0.634082i
\(693\) −0.0356130 + 0.0114547i −0.00135282 + 0.000435129i
\(694\) −33.5129 + 1.17890i −1.27213 + 0.0447502i
\(695\) −29.5873 + 3.89524i −1.12231 + 0.147755i
\(696\) −16.4657 + 6.18382i −0.624129 + 0.234397i
\(697\) −13.6932 1.80275i −0.518667 0.0682839i
\(698\) 4.63448 48.2606i 0.175418 1.82669i
\(699\) 4.64902 5.95906i 0.175842 0.225392i
\(700\) −2.29697 + 3.47420i −0.0868171 + 0.131313i
\(701\) 32.3641 21.6250i 1.22238 0.816765i 0.234515 0.972112i \(-0.424650\pi\)
0.987860 + 0.155347i \(0.0496497\pi\)
\(702\) −6.21404 14.5441i −0.234534 0.548931i
\(703\) −25.9771 −0.979745
\(704\) −0.126148 0.211295i −0.00475437 0.00796348i
\(705\) −30.7847 + 26.5633i −1.15942 + 1.00043i
\(706\) 0.301782 0.369556i 0.0113577 0.0139084i
\(707\) −0.303418 4.62926i −0.0114112 0.174101i
\(708\) 2.11405 0.271544i 0.0794507 0.0102053i
\(709\) −8.60350 9.81042i −0.323111 0.368438i 0.567366 0.823466i \(-0.307963\pi\)
−0.890477 + 0.455028i \(0.849629\pi\)
\(710\) 42.9109 19.5689i 1.61042 0.734408i
\(711\) 19.2038 + 19.8305i 0.720197 + 0.743702i
\(712\) −3.37884 + 37.0845i −0.126627 + 1.38980i
\(713\) 3.42008 0.450262i 0.128083 0.0168624i
\(714\) −0.581152 2.55697i −0.0217491 0.0956922i
\(715\) −0.0932304 0.189053i −0.00348662 0.00707016i
\(716\) 21.5138 12.5613i 0.804009 0.469437i
\(717\) 0.294596 36.6977i 0.0110019 1.37050i
\(718\) 15.0773 14.1906i 0.562681 0.529589i
\(719\) 3.50503 3.50503i 0.130715 0.130715i −0.638722 0.769438i \(-0.720537\pi\)
0.769438 + 0.638722i \(0.220537\pi\)
\(720\) 21.0256 + 31.9005i 0.783579 + 1.18886i
\(721\) 3.99846 + 3.99846i 0.148911 + 0.148911i
\(722\) 14.0174 + 0.424675i 0.521673 + 0.0158048i
\(723\) −5.75643 + 9.78812i −0.214084 + 0.364024i
\(724\) −6.09300 44.5995i −0.226445 1.65753i
\(725\) 16.5410 8.15711i 0.614317 0.302948i
\(726\) 1.03202 26.9223i 0.0383018 0.999180i
\(727\) 0.458376 + 3.48171i 0.0170002 + 0.129129i 0.997840 0.0656844i \(-0.0209231\pi\)
−0.980840 + 0.194814i \(0.937590\pi\)
\(728\) −2.36671 0.699073i −0.0877162 0.0259094i
\(729\) 1.29994 26.9687i 0.0481461 0.998840i
\(730\) 22.8151 + 8.52357i 0.844426 + 0.315472i
\(731\) 1.89300 1.66012i 0.0700152 0.0614017i
\(732\) 0.139749 44.3414i 0.00516527 1.63890i
\(733\) 34.4747 2.25959i 1.27335 0.0834599i 0.586315 0.810083i \(-0.300578\pi\)
0.687036 + 0.726623i \(0.258911\pi\)
\(734\) 3.25329 + 32.2256i 0.120081 + 1.18947i
\(735\) −12.4031 + 35.5971i −0.457496 + 1.31302i
\(736\) −1.71179 1.37025i −0.0630974 0.0505083i
\(737\) 0.0959687i 0.00353505i
\(738\) −19.7102 + 10.1927i −0.725542 + 0.375199i
\(739\) 19.0466 + 28.5052i 0.700640 + 1.04858i 0.995658 + 0.0930899i \(0.0296744\pi\)
−0.295018 + 0.955492i \(0.595326\pi\)
\(740\) 45.4850 30.7139i 1.67206 1.12907i
\(741\) −10.4144 + 4.21615i −0.382582 + 0.154884i
\(742\) −3.43923 4.16994i −0.126258 0.153083i
\(743\) −4.43323 + 33.6737i −0.162639 + 1.23537i 0.694199 + 0.719783i \(0.255759\pi\)
−0.856838 + 0.515586i \(0.827574\pi\)
\(744\) 12.6263 + 41.7304i 0.462901 + 1.52991i
\(745\) −2.96098 22.4908i −0.108482 0.824001i
\(746\) 13.1647 + 12.2700i 0.481995 + 0.449237i
\(747\) 2.52400 + 0.544320i 0.0923484 + 0.0199156i
\(748\) −0.161173 0.0204199i −0.00589307 0.000746624i
\(749\) −4.82304 + 1.63720i −0.176230 + 0.0598221i
\(750\) −0.672969 0.829426i −0.0245734 0.0302864i
\(751\) −46.3925 + 12.4308i −1.69289 + 0.453608i −0.971132 0.238541i \(-0.923331\pi\)
−0.721755 + 0.692149i \(0.756664\pi\)
\(752\) 27.3569 + 11.0203i 0.997605 + 0.401870i
\(753\) 1.25052 16.9885i 0.0455715 0.619095i
\(754\) 7.48969 + 7.95769i 0.272758 + 0.289802i
\(755\) 22.9859 + 4.57218i 0.836543 + 0.166399i
\(756\) −3.11347 2.83805i −0.113236 0.103219i
\(757\) 0.113232 0.169463i 0.00411548 0.00615925i −0.829406 0.558646i \(-0.811321\pi\)
0.833522 + 0.552487i \(0.186321\pi\)
\(758\) −37.0116 + 23.1406i −1.34432 + 0.840503i
\(759\) 0.00648112 + 0.0196085i 0.000235250 + 0.000711744i
\(760\) 22.9429 14.5006i 0.832228 0.525992i
\(761\) 29.4674 + 3.87946i 1.06819 + 0.140630i 0.644065 0.764971i \(-0.277247\pi\)
0.424130 + 0.905602i \(0.360580\pi\)
\(762\) 0.238337 + 2.56689i 0.00863405 + 0.0929885i
\(763\) 3.12212 + 3.56009i 0.113028 + 0.128884i
\(764\) 17.1556 + 5.73040i 0.620667 + 0.207319i
\(765\) 25.1392 + 2.05352i 0.908911 + 0.0742451i
\(766\) −4.90370 + 30.1585i −0.177178 + 1.08967i
\(767\) −0.662135 1.14685i −0.0239083 0.0414104i
\(768\) 13.5801 24.1574i 0.490029 0.871706i
\(769\) −9.04652 + 15.6690i −0.326226 + 0.565040i −0.981760 0.190126i \(-0.939110\pi\)
0.655534 + 0.755166i \(0.272444\pi\)
\(770\) −0.0434896 0.0355139i −0.00156726 0.00127983i
\(771\) 35.3920 + 35.9649i 1.27461 + 1.29524i
\(772\) −1.84315 9.03567i −0.0663364 0.325201i
\(773\) −19.8642 + 3.95124i −0.714466 + 0.142116i −0.538922 0.842355i \(-0.681168\pi\)
−0.175544 + 0.984472i \(0.556168\pi\)
\(774\) 0.972128 3.92666i 0.0349424 0.141141i
\(775\) −17.4950 42.2366i −0.628439 1.51718i
\(776\) −0.398410 9.94532i −0.0143021 0.357016i
\(777\) −4.02664 + 4.51782i −0.144455 + 0.162076i
\(778\) −0.0465690 0.0247459i −0.00166958 0.000887182i
\(779\) 6.97191 + 14.1376i 0.249795 + 0.506533i
\(780\) 13.2502 19.6957i 0.474435 0.705220i
\(781\) 0.103568 + 0.305101i 0.00370595 + 0.0109174i
\(782\) −1.40894 + 0.332142i −0.0503835 + 0.0118774i
\(783\) 5.56949 + 17.8047i 0.199037 + 0.636289i
\(784\) 27.0726 3.83311i 0.966880 0.136897i
\(785\) −18.0770 + 67.4642i −0.645195 + 2.40790i
\(786\) 54.5486 8.69308i 1.94568 0.310072i
\(787\) −34.1164 29.9193i −1.21612 1.06651i −0.995845 0.0910699i \(-0.970971\pi\)
−0.220275 0.975438i \(-0.570695\pi\)
\(788\) 26.5774 34.9882i 0.946779 1.24640i
\(789\) −1.57606 2.08846i −0.0561091 0.0743510i
\(790\) −9.30980 + 40.3724i −0.331228 + 1.43638i
\(791\) 3.75604 + 1.55580i 0.133549 + 0.0553180i
\(792\) −0.231261 + 0.121025i −0.00821751 + 0.00430042i
\(793\) −25.4528 + 10.5429i −0.903854 + 0.374389i
\(794\) 13.3765 2.24198i 0.474713 0.0795648i
\(795\) 48.1940 19.5108i 1.70926 0.691978i
\(796\) −19.9449 9.71515i −0.706930 0.344344i
\(797\) 28.1173 1.84291i 0.995968 0.0652792i 0.441307 0.897356i \(-0.354515\pi\)
0.554660 + 0.832077i \(0.312848\pi\)
\(798\) −2.05800 + 2.17284i −0.0728526 + 0.0769176i
\(799\) 16.8622 9.73539i 0.596541 0.344413i
\(800\) −11.6693 + 26.6130i −0.412573 + 0.940912i
\(801\) 39.0713 + 5.78339i 1.38052 + 0.204346i
\(802\) −11.7825 + 8.48681i −0.416056 + 0.299680i
\(803\) −0.0735919 + 0.149230i −0.00259700 + 0.00526620i
\(804\) 9.37647 5.37418i 0.330683 0.189533i
\(805\) −0.473736 0.160812i −0.0166970 0.00566787i
\(806\) 20.8976 17.2357i 0.736087 0.607100i
\(807\) 14.9879 29.7873i 0.527600 1.04856i
\(808\) −7.58046 31.4683i −0.266680 1.10705i
\(809\) 3.66335 + 1.51741i 0.128796 + 0.0533492i 0.446151 0.894958i \(-0.352794\pi\)
−0.317354 + 0.948307i \(0.602794\pi\)
\(810\) 35.0327 20.3690i 1.23092 0.715694i
\(811\) −9.49982 6.34757i −0.333584 0.222893i 0.377486 0.926015i \(-0.376789\pi\)
−0.711069 + 0.703122i \(0.751789\pi\)
\(812\) 2.69468 + 1.10081i 0.0945646 + 0.0386309i
\(813\) −20.0826 35.4381i −0.704328 1.24287i
\(814\) 0.177556 + 0.330245i 0.00622334 + 0.0115751i
\(815\) 64.8456 17.3753i 2.27144 0.608631i
\(816\) −7.03048 16.8906i −0.246116 0.591291i
\(817\) −2.77574 0.743757i −0.0971108 0.0260208i
\(818\) −10.7876 45.7605i −0.377178 1.59998i
\(819\) −0.881049 + 2.46476i −0.0307864 + 0.0861256i
\(820\) −28.9232 16.5113i −1.01004 0.576599i
\(821\) 34.6734 + 2.27262i 1.21011 + 0.0793149i 0.657064 0.753835i \(-0.271798\pi\)
0.553047 + 0.833150i \(0.313465\pi\)
\(822\) 2.11858 + 9.32137i 0.0738938 + 0.325120i
\(823\) 22.5416 + 29.3767i 0.785749 + 1.02401i 0.998895 + 0.0469882i \(0.0149623\pi\)
−0.213146 + 0.977020i \(0.568371\pi\)
\(824\) 32.2370 + 22.7457i 1.12303 + 0.792385i
\(825\) 0.228782 0.150225i 0.00796515 0.00523015i
\(826\) −0.287226 0.204765i −0.00999386 0.00712469i
\(827\) 49.0766 9.76194i 1.70656 0.339456i 0.757090 0.653311i \(-0.226620\pi\)
0.949471 + 0.313855i \(0.101620\pi\)
\(828\) −1.55288 + 1.73129i −0.0539663 + 0.0601665i
\(829\) −4.42910 + 2.95943i −0.153829 + 0.102785i −0.630103 0.776512i \(-0.716987\pi\)
0.476274 + 0.879297i \(0.341987\pi\)
\(830\) 1.37392 + 3.62360i 0.0476895 + 0.125777i
\(831\) −34.8225 12.1333i −1.20798 0.420898i
\(832\) −17.1020 1.99750i −0.592905 0.0692508i
\(833\) 9.02552 15.6327i 0.312716 0.541639i
\(834\) 19.5646 12.0149i 0.677465 0.416042i
\(835\) 7.51644 + 3.70670i 0.260117 + 0.128276i
\(836\) 0.0828196 + 0.165897i 0.00286437 + 0.00573768i
\(837\) 44.9430 10.8896i 1.55346 0.376400i
\(838\) −39.5357 + 18.0297i −1.36574 + 0.622826i
\(839\) −17.8670 + 23.2848i −0.616839 + 0.803880i −0.992418 0.122910i \(-0.960777\pi\)
0.375579 + 0.926790i \(0.377444\pi\)
\(840\) 1.03444 6.23783i 0.0356917 0.215226i
\(841\) 9.80721 + 12.7810i 0.338179 + 0.440724i
\(842\) −9.02064 + 16.9758i −0.310872 + 0.585026i
\(843\) −10.2353 + 7.72406i −0.352522 + 0.266031i
\(844\) 16.3832 0.0798818i 0.563933 0.00274964i
\(845\) 26.1296 + 5.19750i 0.898886 + 0.178800i
\(846\) 13.2972 28.3154i 0.457167 0.973505i
\(847\) −3.15287 + 3.15287i −0.108334 + 0.108334i
\(848\) −28.5955 24.5885i −0.981974 0.844371i
\(849\) −19.0638 + 28.0411i −0.654268 + 0.962367i
\(850\) 9.08456 + 16.8968i 0.311598 + 0.579555i
\(851\) 2.51180 + 2.20279i 0.0861033 + 0.0755106i
\(852\) −24.0097 + 27.2044i −0.822558 + 0.932006i
\(853\) 0.708723 10.8130i 0.0242662 0.370231i −0.968405 0.249383i \(-0.919772\pi\)
0.992671 0.120847i \(-0.0385612\pi\)
\(854\) −5.00340 + 5.36824i −0.171213 + 0.183698i
\(855\) −13.9917 25.1587i −0.478506 0.860408i
\(856\) −31.2176 + 16.9809i −1.06700 + 0.580394i
\(857\) −23.7346 18.2122i −0.810759 0.622117i 0.117911 0.993024i \(-0.462380\pi\)
−0.928670 + 0.370907i \(0.879047\pi\)
\(858\) 0.124783 + 0.103579i 0.00426002 + 0.00353614i
\(859\) −14.0325 4.76339i −0.478782 0.162525i 0.0716070 0.997433i \(-0.477187\pi\)
−0.550389 + 0.834908i \(0.685521\pi\)
\(860\) 5.73960 1.97959i 0.195719 0.0675035i
\(861\) 3.53945 + 0.978913i 0.120624 + 0.0333613i
\(862\) 28.9993 + 13.0543i 0.987722 + 0.444632i
\(863\) 46.9177i 1.59710i −0.601930 0.798549i \(-0.705601\pi\)
0.601930 0.798549i \(-0.294399\pi\)
\(864\) −24.7750 15.8177i −0.842862 0.538130i
\(865\) 30.5757i 1.03960i
\(866\) 16.9420 37.6356i 0.575713 1.27891i
\(867\) 16.7383 + 4.62933i 0.568461 + 0.157220i
\(868\) 3.15972 6.48683i 0.107248 0.220177i
\(869\) −0.268029 0.0909837i −0.00909227 0.00308641i
\(870\) −17.8836 + 21.5445i −0.606309 + 0.730426i
\(871\) −5.32717 4.08768i −0.180504 0.138506i
\(872\) 25.6914 + 20.7718i 0.870021 + 0.703423i
\(873\) −10.5557 0.169485i −0.357257 0.00573621i
\(874\) 1.20858 + 1.12644i 0.0408809 + 0.0381025i
\(875\) −0.0115611 + 0.176389i −0.000390837 + 0.00596302i
\(876\) −18.7013 + 1.16657i −0.631859 + 0.0394147i
\(877\) 37.7403 + 33.0974i 1.27440 + 1.11762i 0.987156 + 0.159762i \(0.0510727\pi\)
0.287245 + 0.957857i \(0.407261\pi\)
\(878\) 7.45382 4.00754i 0.251554 0.135248i
\(879\) 18.5362 27.2650i 0.625211 0.919626i
\(880\) −0.341162 0.192559i −0.0115006 0.00649116i
\(881\) −25.0713 + 25.0713i −0.844672 + 0.844672i −0.989462 0.144790i \(-0.953749\pi\)
0.144790 + 0.989462i \(0.453749\pi\)
\(882\) −2.44936 28.8977i −0.0824743 0.973035i
\(883\) −2.32612 0.462694i −0.0782802 0.0155709i 0.155795 0.987789i \(-0.450206\pi\)
−0.234075 + 0.972219i \(0.575206\pi\)
\(884\) −7.99848 + 8.07686i −0.269018 + 0.271654i
\(885\) 2.70839 2.04389i 0.0910416 0.0687046i
\(886\) −47.6243 25.3066i −1.59997 0.850193i
\(887\) −22.1815 28.9074i −0.744780 0.970617i −0.999993 0.00373183i \(-0.998812\pi\)
0.255213 0.966885i \(-0.417855\pi\)
\(888\) −22.3231 + 35.8413i −0.749113 + 1.20276i
\(889\) 0.259722 0.338476i 0.00871078 0.0113521i
\(890\) 24.5970 + 53.9366i 0.824494 + 1.80796i
\(891\) 0.114412 + 0.252100i 0.00383295 + 0.00844568i
\(892\) 11.5626 34.6159i 0.387144 1.15903i
\(893\) −19.9307 9.82875i −0.666957 0.328907i
\(894\) 9.13315 + 14.8720i 0.305458 + 0.497395i
\(895\) 19.8294 34.3456i 0.662825 1.14805i
\(896\) −4.36554 + 1.40606i −0.145842 + 0.0469731i
\(897\) 1.36451 + 0.475439i 0.0455598 + 0.0158745i
\(898\) −4.11712 + 1.56104i −0.137390 + 0.0520927i
\(899\) −26.5668 + 17.7514i −0.886053 + 0.592041i
\(900\) 27.4891 + 13.9403i 0.916302 + 0.464676i
\(901\) −24.4191 + 4.85727i −0.813519 + 0.161819i
\(902\) 0.132077 0.185266i 0.00439768 0.00616867i
\(903\) −0.559611 + 0.367457i −0.0186227 + 0.0122282i
\(904\) 27.6711 + 6.23898i 0.920328 + 0.207506i
\(905\) −43.6230 56.8507i −1.45008 1.88978i
\(906\) −17.5822 + 3.99610i −0.584129 + 0.132762i
\(907\) 36.4206 + 2.38713i 1.20933 + 0.0792635i 0.656691 0.754159i \(-0.271955\pi\)
0.552636 + 0.833423i \(0.313622\pi\)
\(908\) −2.08739 7.64103i −0.0692725 0.253577i
\(909\) −33.7754 + 6.15638i −1.12026 + 0.204194i
\(910\) −3.82375 + 0.901407i −0.126756 + 0.0298814i
\(911\) −0.897148 0.240390i −0.0297238 0.00796447i 0.243926 0.969794i \(-0.421564\pi\)
−0.273650 + 0.961829i \(0.588231\pi\)
\(912\) −11.5709 + 17.3819i −0.383151 + 0.575572i
\(913\) −0.0255730 + 0.00685227i −0.000846344 + 0.000226777i
\(914\) 21.3655 11.4872i 0.706709 0.379962i
\(915\) −34.8025 61.4129i −1.15053 2.03025i
\(916\) −43.1465 + 18.1188i −1.42560 + 0.598663i
\(917\) −7.60092 5.07877i −0.251004 0.167716i
\(918\) −18.3051 + 6.44082i −0.604159 + 0.212579i
\(919\) 16.4967 + 6.83314i 0.544175 + 0.225405i 0.637799 0.770203i \(-0.279845\pi\)
−0.0936241 + 0.995608i \(0.529845\pi\)
\(920\) −3.44803 0.543397i −0.113678 0.0179153i
\(921\) −18.3591 + 36.4873i −0.604954 + 1.20230i
\(922\) −10.0610 12.1986i −0.331341 0.401739i
\(923\) 21.3473 + 7.24645i 0.702656 + 0.238520i
\(924\) 0.0416898 + 0.0113117i 0.00137149 + 0.000372127i
\(925\) 19.5827 39.7097i 0.643874 1.30565i
\(926\) −5.25839 7.30042i −0.172802 0.239907i
\(927\) 26.0045 32.7862i 0.854100 1.07684i
\(928\) 19.8337 + 4.37038i 0.651074 + 0.143465i
\(929\) −29.4302 + 16.9915i −0.965573 + 0.557474i −0.897884 0.440232i \(-0.854896\pi\)
−0.0676895 + 0.997706i \(0.521563\pi\)
\(930\) 50.3910 + 47.7279i 1.65239 + 1.56506i
\(931\) −20.5580 + 1.34744i −0.673761 + 0.0441606i
\(932\) −8.25033 + 2.84555i −0.270249 + 0.0932090i
\(933\) 12.7963 5.18046i 0.418933 0.169601i
\(934\) 6.49241 + 38.7361i 0.212438 + 1.26749i
\(935\) −0.238940 + 0.0989723i −0.00781418 + 0.00323674i
\(936\) −3.13230 + 17.9921i −0.102383 + 0.588090i
\(937\) −4.23143 1.75272i −0.138235 0.0572587i 0.312494 0.949920i \(-0.398836\pi\)
−0.450728 + 0.892661i \(0.648836\pi\)
\(938\) −1.74285 0.401899i −0.0569062 0.0131225i
\(939\) 15.0150 + 19.8966i 0.489996 + 0.649301i
\(940\) 46.5190 6.35524i 1.51728 0.207285i
\(941\) −9.01689 7.90760i −0.293942 0.257781i 0.499654 0.866225i \(-0.333460\pi\)
−0.793596 + 0.608445i \(0.791794\pi\)
\(942\) −8.45659 53.0646i −0.275531 1.72894i
\(943\) 0.524700 1.95821i 0.0170866 0.0637680i
\(944\) −2.21784 1.06696i −0.0721847 0.0347266i
\(945\) −6.54430 1.46640i −0.212886 0.0477020i
\(946\) 0.00951712 + 0.0403714i 0.000309428 + 0.00131259i
\(947\) −3.05273 8.99307i −0.0992005 0.292235i 0.885988 0.463707i \(-0.153481\pi\)
−0.985189 + 0.171472i \(0.945148\pi\)
\(948\) −6.12003 31.2824i −0.198769 1.01601i
\(949\) 5.14909 + 10.4413i 0.167146 + 0.338939i
\(950\) 10.2743 19.3351i 0.333342 0.627312i
\(951\) −0.895339 + 1.00456i −0.0290334 + 0.0325749i
\(952\) −1.04580 + 2.84149i −0.0338946 + 0.0920933i
\(953\) −7.89599 19.0626i −0.255776 0.617498i 0.742875 0.669431i \(-0.233462\pi\)
−0.998651 + 0.0519326i \(0.983462\pi\)
\(954\) −27.7394 + 28.8203i −0.898097 + 0.933091i
\(955\) 28.2405 5.61738i 0.913841 0.181774i
\(956\) −23.3709 + 35.3490i −0.755870 + 1.14327i
\(957\) −0.134170 0.136341i −0.00433709 0.00440729i
\(958\) −10.2119 + 12.5053i −0.329931 + 0.404026i
\(959\) 0.791001 1.37005i 0.0255427 0.0442413i
\(960\) −0.291166 44.1159i −0.00939735 1.42383i
\(961\) 24.1010 + 41.7442i 0.777452 + 1.34659i
\(962\) 25.8945 + 4.21038i 0.834873 + 0.135748i
\(963\) 16.1262 + 34.0690i 0.519661 + 1.09786i
\(964\) 11.7314 5.85656i 0.377843 0.188627i
\(965\) −9.67943 11.0373i −0.311592 0.355303i
\(966\) 0.383245 0.0355845i 0.0123307 0.00114491i
\(967\) 1.08990 + 0.143488i 0.0350488 + 0.00461426i 0.148030 0.988983i \(-0.452707\pi\)
−0.112981 + 0.993597i \(0.536040\pi\)
\(968\) −17.9355 + 25.4195i −0.576468 + 0.817015i
\(969\) 4.32617 + 13.0888i 0.138977 + 0.420471i
\(970\) −8.39999 13.4351i −0.269707 0.431376i
\(971\) 15.8260 23.6852i 0.507880 0.760096i −0.485591 0.874186i \(-0.661395\pi\)
0.993470 + 0.114091i \(0.0363954\pi\)
\(972\) −18.2241 + 25.2959i −0.584538 + 0.811367i
\(973\) −3.72669 0.741284i −0.119472 0.0237645i
\(974\) 28.1179 26.4643i 0.900957 0.847971i
\(975\) 1.40581 19.0982i 0.0450221 0.611631i
\(976\) −28.0294 + 42.8476i −0.897199 + 1.37152i
\(977\) −2.24074 + 0.600405i −0.0716877 + 0.0192087i −0.294485 0.955656i \(-0.595148\pi\)
0.222797 + 0.974865i \(0.428481\pi\)
\(978\) −40.1074 + 32.5419i −1.28249 + 1.04057i
\(979\) −0.383495 + 0.130179i −0.0122565 + 0.00416054i
\(980\) 34.4031 26.6660i 1.09897 0.851813i
\(981\) 23.5249 25.9718i 0.751093 0.829216i
\(982\) −39.7679 + 42.6677i −1.26904 + 1.36158i
\(983\) −2.96074 22.4890i −0.0944329 0.717289i −0.971520 0.236958i \(-0.923850\pi\)
0.877087 0.480331i \(-0.159484\pi\)
\(984\) 25.4973 + 2.52964i 0.812824 + 0.0806420i
\(985\) 9.12977 69.3475i 0.290899 2.20959i
\(986\) 10.3437 8.53113i 0.329410 0.271687i
\(987\) −4.79878 + 1.94274i −0.152747 + 0.0618381i
\(988\) 12.7365 + 2.46895i 0.405201 + 0.0785477i
\(989\) 0.205325 + 0.307291i 0.00652897 + 0.00977129i
\(990\) −0.224206 + 0.349837i −0.00712572 + 0.0111186i
\(991\) 17.7874i 0.565034i −0.959262 0.282517i \(-0.908831\pi\)
0.959262 0.282517i \(-0.0911694\pi\)
\(992\) 14.0256 48.3502i 0.445314 1.53512i
\(993\) 13.9260 39.9678i 0.441930 1.26834i
\(994\) 5.97455 0.603152i 0.189501 0.0191308i
\(995\) −35.2417 + 2.30986i −1.11724 + 0.0732276i
\(996\) −2.10156 2.11485i −0.0665905 0.0670116i
\(997\) −26.4243 + 23.1735i −0.836865 + 0.733911i −0.966229 0.257687i \(-0.917040\pi\)
0.129364 + 0.991597i \(0.458706\pi\)
\(998\) 1.62221 4.34218i 0.0513500 0.137449i
\(999\) 36.6282 + 25.7712i 1.15887 + 0.815366i
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 576.2.bm.a.13.84 1504
9.7 even 3 inner 576.2.bm.a.205.22 yes 1504
64.5 even 16 inner 576.2.bm.a.517.22 yes 1504
576.133 even 48 inner 576.2.bm.a.133.84 yes 1504
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
576.2.bm.a.13.84 1504 1.1 even 1 trivial
576.2.bm.a.133.84 yes 1504 576.133 even 48 inner
576.2.bm.a.205.22 yes 1504 9.7 even 3 inner
576.2.bm.a.517.22 yes 1504 64.5 even 16 inner