Properties

Label 403.2.cb.a.15.14
Level $403$
Weight $2$
Character 403.15
Analytic conductor $3.218$
Analytic rank $0$
Dimension $576$
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] = [403,2,Mod(15,403)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(403, base_ring=CyclotomicField(60))
 
chi = DirichletCharacter(H, H._module([5, 42]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("403.15");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 403 = 13 \cdot 31 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 403.cb (of order \(60\), 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: \(3.21797120146\)
Analytic rank: \(0\)
Dimension: \(576\)
Relative dimension: \(36\) over \(\Q(\zeta_{60})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{60}]$

Embedding invariants

Embedding label 15.14
Character \(\chi\) \(=\) 403.15
Dual form 403.2.cb.a.215.14

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-0.857856 + 0.329300i) q^{2} +(-2.24412 - 0.235866i) q^{3} +(-0.858811 + 0.773277i) q^{4} +(1.02734 - 1.02734i) q^{5} +(2.00280 - 0.536649i) q^{6} +(0.00452335 - 0.0863108i) q^{7} +(1.31643 - 2.58364i) q^{8} +(2.04600 + 0.434890i) q^{9} +O(q^{10})\) \(q+(-0.857856 + 0.329300i) q^{2} +(-2.24412 - 0.235866i) q^{3} +(-0.858811 + 0.773277i) q^{4} +(1.02734 - 1.02734i) q^{5} +(2.00280 - 0.536649i) q^{6} +(0.00452335 - 0.0863108i) q^{7} +(1.31643 - 2.58364i) q^{8} +(2.04600 + 0.434890i) q^{9} +(-0.543006 + 1.21961i) q^{10} +(0.549157 - 0.845628i) q^{11} +(2.10967 - 1.53276i) q^{12} +(-3.52397 + 0.762656i) q^{13} +(0.0245417 + 0.0755317i) q^{14} +(-2.54779 + 2.06316i) q^{15} +(-0.0369190 + 0.351261i) q^{16} +(6.67387 + 1.41857i) q^{17} +(-1.89838 + 0.300674i) q^{18} +(-0.975790 - 0.790179i) q^{19} +(-0.0878726 + 1.67671i) q^{20} +(-0.0305088 + 0.192625i) q^{21} +(-0.192632 + 0.906264i) q^{22} +(-4.08257 + 4.53415i) q^{23} +(-3.56362 + 5.48749i) q^{24} +2.88915i q^{25} +(2.77191 - 1.81469i) q^{26} +(1.94924 + 0.633345i) q^{27} +(0.0628574 + 0.0776225i) q^{28} +(-3.28689 + 7.38247i) q^{29} +(1.50624 - 2.60888i) q^{30} +(-4.94565 + 2.55745i) q^{31} +(1.41699 + 5.28827i) q^{32} +(-1.43183 + 1.76816i) q^{33} +(-6.19235 + 0.980773i) q^{34} +(-0.0840234 - 0.0933174i) q^{35} +(-2.09342 + 1.20863i) q^{36} +(5.17495 + 1.38662i) q^{37} +(1.09729 + 0.356532i) q^{38} +(8.08809 - 0.880305i) q^{39} +(-1.30185 - 4.00669i) q^{40} +(-9.39441 + 3.60618i) q^{41} +(-0.0372592 - 0.175291i) q^{42} +(-0.128195 - 1.21970i) q^{43} +(0.182282 + 1.15089i) q^{44} +(2.54871 - 1.65515i) q^{45} +(2.00916 - 5.23404i) q^{46} +(0.810664 + 5.11833i) q^{47} +(0.165701 - 0.779563i) q^{48} +(6.95422 + 0.730918i) q^{49} +(-0.951397 - 2.47847i) q^{50} +(-14.6424 - 4.75759i) q^{51} +(2.43668 - 3.37998i) q^{52} +(13.4477 - 4.36941i) q^{53} +(-1.88072 + 0.0985646i) q^{54} +(-0.304576 - 1.43292i) q^{55} +(-0.217041 - 0.125309i) q^{56} +(2.00341 + 2.00341i) q^{57} +(0.388628 - 7.41547i) q^{58} +(-9.43229 - 3.62072i) q^{59} +(0.592676 - 3.74201i) q^{60} +(8.11016 + 4.68240i) q^{61} +(3.40048 - 3.82253i) q^{62} +(0.0467905 - 0.174624i) q^{63} +(-3.37221 - 4.64144i) q^{64} +(-2.83680 + 4.40382i) q^{65} +(0.646048 - 1.98833i) q^{66} +(2.64764 + 0.709433i) q^{67} +(-6.82855 + 3.94246i) q^{68} +(10.2312 - 9.21223i) q^{69} +(0.102809 + 0.0523840i) q^{70} +(-0.733391 + 0.476270i) q^{71} +(3.81701 - 4.71361i) q^{72} +(-0.975569 - 1.91466i) q^{73} +(-4.89597 + 0.514588i) q^{74} +(0.681453 - 6.48359i) q^{75} +(1.44905 - 0.0759414i) q^{76} +(-0.0705028 - 0.0512232i) q^{77} +(-6.64853 + 3.41858i) q^{78} +(0.390312 - 0.126820i) q^{79} +(0.322936 + 0.398792i) q^{80} +(-9.95754 - 4.43338i) q^{81} +(6.87154 - 6.18716i) q^{82} +(5.96092 + 0.944117i) q^{83} +(-0.122751 - 0.189020i) q^{84} +(8.31369 - 5.39897i) q^{85} +(0.511619 + 1.00411i) q^{86} +(9.11744 - 15.7919i) q^{87} +(-1.46187 - 2.53203i) q^{88} +(-5.07265 + 7.81120i) q^{89} +(-1.64139 + 2.25917i) q^{90} +(0.0498853 + 0.307606i) q^{91} -7.05093i q^{92} +(11.7018 - 4.57272i) q^{93} +(-2.38090 - 4.12384i) q^{94} +(-1.81425 + 0.190685i) q^{95} +(-1.93256 - 12.2017i) q^{96} +(-13.0213 - 0.682417i) q^{97} +(-6.20641 + 1.66300i) q^{98} +(1.49133 - 1.49133i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 576 q - 12 q^{2} - 10 q^{3} - 18 q^{4} - 32 q^{5} - 4 q^{7} - 22 q^{8} - 74 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 576 q - 12 q^{2} - 10 q^{3} - 18 q^{4} - 32 q^{5} - 4 q^{7} - 22 q^{8} - 74 q^{9} - 18 q^{10} - 30 q^{13} - 80 q^{14} + 10 q^{15} - 78 q^{16} - 30 q^{17} + 2 q^{18} - 16 q^{19} + 34 q^{20} - 70 q^{21} - 60 q^{22} - 30 q^{23} + 20 q^{24} + 80 q^{27} - 16 q^{28} - 10 q^{29} + 24 q^{31} - 112 q^{32} + 4 q^{33} - 20 q^{34} - 38 q^{35} - 48 q^{36} + 28 q^{39} + 8 q^{40} - 22 q^{41} - 10 q^{42} - 120 q^{43} - 60 q^{44} + 18 q^{45} - 100 q^{46} + 4 q^{47} - 10 q^{48} - 78 q^{49} - 120 q^{50} + 20 q^{52} - 80 q^{54} - 10 q^{55} + 432 q^{56} + 70 q^{58} + 52 q^{59} + 160 q^{60} - 72 q^{62} - 316 q^{63} - 30 q^{65} + 40 q^{66} - 44 q^{67} + 174 q^{69} + 66 q^{70} - 20 q^{71} - 264 q^{72} - 20 q^{73} - 10 q^{74} + 210 q^{75} + 26 q^{76} + 96 q^{78} + 40 q^{79} - 18 q^{80} + 54 q^{81} - 138 q^{82} - 290 q^{83} + 220 q^{84} - 30 q^{85} - 20 q^{86} - 8 q^{87} - 10 q^{89} + 70 q^{91} - 134 q^{93} - 24 q^{94} + 102 q^{95} - 70 q^{96} - 110 q^{97} + 200 q^{98}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/403\mathbb{Z}\right)^\times\).

\(n\) \(249\) \(313\)
\(\chi(n)\) \(e\left(\frac{1}{12}\right)\) \(e\left(\frac{7}{10}\right)\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).



Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.857856 + 0.329300i −0.606596 + 0.232850i −0.642227 0.766515i \(-0.721989\pi\)
0.0356310 + 0.999365i \(0.488656\pi\)
\(3\) −2.24412 0.235866i −1.29564 0.136178i −0.568511 0.822675i \(-0.692480\pi\)
−0.727132 + 0.686498i \(0.759147\pi\)
\(4\) −0.858811 + 0.773277i −0.429406 + 0.386639i
\(5\) 1.02734 1.02734i 0.459440 0.459440i −0.439032 0.898472i \(-0.644678\pi\)
0.898472 + 0.439032i \(0.144678\pi\)
\(6\) 2.00280 0.536649i 0.817640 0.219086i
\(7\) 0.00452335 0.0863108i 0.00170967 0.0326224i −0.997641 0.0686402i \(-0.978134\pi\)
0.999351 + 0.0360178i \(0.0114673\pi\)
\(8\) 1.31643 2.58364i 0.465428 0.913454i
\(9\) 2.04600 + 0.434890i 0.681999 + 0.144963i
\(10\) −0.543006 + 1.21961i −0.171714 + 0.385675i
\(11\) 0.549157 0.845628i 0.165577 0.254966i −0.746136 0.665793i \(-0.768093\pi\)
0.911713 + 0.410827i \(0.134760\pi\)
\(12\) 2.10967 1.53276i 0.609008 0.442470i
\(13\) −3.52397 + 0.762656i −0.977373 + 0.211523i
\(14\) 0.0245417 + 0.0755317i 0.00655906 + 0.0201867i
\(15\) −2.54779 + 2.06316i −0.657836 + 0.532705i
\(16\) −0.0369190 + 0.351261i −0.00922975 + 0.0878152i
\(17\) 6.67387 + 1.41857i 1.61865 + 0.344055i 0.926089 0.377304i \(-0.123149\pi\)
0.692561 + 0.721359i \(0.256482\pi\)
\(18\) −1.89838 + 0.300674i −0.447452 + 0.0708695i
\(19\) −0.975790 0.790179i −0.223862 0.181280i 0.510828 0.859683i \(-0.329339\pi\)
−0.734690 + 0.678403i \(0.762672\pi\)
\(20\) −0.0878726 + 1.67671i −0.0196489 + 0.374923i
\(21\) −0.0305088 + 0.192625i −0.00665756 + 0.0420342i
\(22\) −0.192632 + 0.906264i −0.0410694 + 0.193216i
\(23\) −4.08257 + 4.53415i −0.851274 + 0.945435i −0.999050 0.0435855i \(-0.986122\pi\)
0.147776 + 0.989021i \(0.452789\pi\)
\(24\) −3.56362 + 5.48749i −0.727420 + 1.12013i
\(25\) 2.88915i 0.577830i
\(26\) 2.77191 1.81469i 0.543617 0.355890i
\(27\) 1.94924 + 0.633345i 0.375131 + 0.121887i
\(28\) 0.0628574 + 0.0776225i 0.0118789 + 0.0146693i
\(29\) −3.28689 + 7.38247i −0.610359 + 1.37089i 0.298750 + 0.954332i \(0.403430\pi\)
−0.909109 + 0.416558i \(0.863236\pi\)
\(30\) 1.50624 2.60888i 0.275000 0.476314i
\(31\) −4.94565 + 2.55745i −0.888265 + 0.459332i
\(32\) 1.41699 + 5.28827i 0.250490 + 0.934843i
\(33\) −1.43183 + 1.76816i −0.249250 + 0.307798i
\(34\) −6.19235 + 0.980773i −1.06198 + 0.168201i
\(35\) −0.0840234 0.0933174i −0.0142025 0.0157735i
\(36\) −2.09342 + 1.20863i −0.348903 + 0.201439i
\(37\) 5.17495 + 1.38662i 0.850756 + 0.227959i 0.657748 0.753238i \(-0.271509\pi\)
0.193008 + 0.981197i \(0.438176\pi\)
\(38\) 1.09729 + 0.356532i 0.178005 + 0.0578372i
\(39\) 8.08809 0.880305i 1.29513 0.140962i
\(40\) −1.30185 4.00669i −0.205841 0.633514i
\(41\) −9.39441 + 3.60618i −1.46716 + 0.563190i −0.955237 0.295841i \(-0.904400\pi\)
−0.511923 + 0.859031i \(0.671067\pi\)
\(42\) −0.0372592 0.175291i −0.00574922 0.0270480i
\(43\) −0.128195 1.21970i −0.0195496 0.186002i 0.980389 0.197071i \(-0.0631431\pi\)
−0.999939 + 0.0110694i \(0.996476\pi\)
\(44\) 0.182282 + 1.15089i 0.0274801 + 0.173503i
\(45\) 2.54871 1.65515i 0.379940 0.246736i
\(46\) 2.00916 5.23404i 0.296234 0.771716i
\(47\) 0.810664 + 5.11833i 0.118247 + 0.746585i 0.973553 + 0.228461i \(0.0733694\pi\)
−0.855306 + 0.518124i \(0.826631\pi\)
\(48\) 0.165701 0.779563i 0.0239169 0.112520i
\(49\) 6.95422 + 0.730918i 0.993461 + 0.104417i
\(50\) −0.951397 2.47847i −0.134548 0.350509i
\(51\) −14.6424 4.75759i −2.05034 0.666196i
\(52\) 2.43668 3.37998i 0.337907 0.468719i
\(53\) 13.4477 4.36941i 1.84718 0.600185i 0.849861 0.527007i \(-0.176686\pi\)
0.997319 0.0731781i \(-0.0233141\pi\)
\(54\) −1.88072 + 0.0985646i −0.255934 + 0.0134129i
\(55\) −0.304576 1.43292i −0.0410690 0.193215i
\(56\) −0.217041 0.125309i −0.0290033 0.0167451i
\(57\) 2.00341 + 2.00341i 0.265359 + 0.265359i
\(58\) 0.388628 7.41547i 0.0510294 0.973698i
\(59\) −9.43229 3.62072i −1.22798 0.471377i −0.344030 0.938959i \(-0.611792\pi\)
−0.883950 + 0.467582i \(0.845125\pi\)
\(60\) 0.592676 3.74201i 0.0765141 0.483091i
\(61\) 8.11016 + 4.68240i 1.03840 + 0.599520i 0.919380 0.393371i \(-0.128691\pi\)
0.119020 + 0.992892i \(0.462025\pi\)
\(62\) 3.40048 3.82253i 0.431862 0.485462i
\(63\) 0.0467905 0.174624i 0.00589504 0.0220006i
\(64\) −3.37221 4.64144i −0.421526 0.580180i
\(65\) −2.83680 + 4.40382i −0.351862 + 0.546226i
\(66\) 0.646048 1.98833i 0.0795230 0.244747i
\(67\) 2.64764 + 0.709433i 0.323461 + 0.0866710i 0.416896 0.908954i \(-0.363118\pi\)
−0.0934350 + 0.995625i \(0.529785\pi\)
\(68\) −6.82855 + 3.94246i −0.828083 + 0.478094i
\(69\) 10.2312 9.21223i 1.23169 1.10902i
\(70\) 0.102809 + 0.0523840i 0.0122881 + 0.00626109i
\(71\) −0.733391 + 0.476270i −0.0870375 + 0.0565228i −0.587424 0.809279i \(-0.699858\pi\)
0.500387 + 0.865802i \(0.333191\pi\)
\(72\) 3.81701 4.71361i 0.449839 0.555505i
\(73\) −0.975569 1.91466i −0.114182 0.224094i 0.826842 0.562434i \(-0.190135\pi\)
−0.941024 + 0.338339i \(0.890135\pi\)
\(74\) −4.89597 + 0.514588i −0.569145 + 0.0598196i
\(75\) 0.681453 6.48359i 0.0786874 0.748661i
\(76\) 1.44905 0.0759414i 0.166217 0.00871107i
\(77\) −0.0705028 0.0512232i −0.00803453 0.00583743i
\(78\) −6.64853 + 3.41858i −0.752798 + 0.387078i
\(79\) 0.390312 0.126820i 0.0439136 0.0142684i −0.286978 0.957937i \(-0.592651\pi\)
0.330891 + 0.943669i \(0.392651\pi\)
\(80\) 0.322936 + 0.398792i 0.0361053 + 0.0445863i
\(81\) −9.95754 4.43338i −1.10639 0.492598i
\(82\) 6.87154 6.18716i 0.758834 0.683257i
\(83\) 5.96092 + 0.944117i 0.654296 + 0.103630i 0.474752 0.880120i \(-0.342538\pi\)
0.179544 + 0.983750i \(0.442538\pi\)
\(84\) −0.122751 0.189020i −0.0133932 0.0206238i
\(85\) 8.31369 5.39897i 0.901746 0.585601i
\(86\) 0.511619 + 1.00411i 0.0551693 + 0.108276i
\(87\) 9.11744 15.7919i 0.977492 1.69307i
\(88\) −1.46187 2.53203i −0.155836 0.269916i
\(89\) −5.07265 + 7.81120i −0.537700 + 0.827985i −0.998218 0.0596648i \(-0.980997\pi\)
0.460519 + 0.887650i \(0.347663\pi\)
\(90\) −1.64139 + 2.25917i −0.173017 + 0.238138i
\(91\) 0.0498853 + 0.307606i 0.00522940 + 0.0322459i
\(92\) 7.05093i 0.735111i
\(93\) 11.7018 4.57272i 1.21342 0.474169i
\(94\) −2.38090 4.12384i −0.245571 0.425341i
\(95\) −1.81425 + 0.190685i −0.186138 + 0.0195639i
\(96\) −1.93256 12.2017i −0.197242 1.24533i
\(97\) −13.0213 0.682417i −1.32211 0.0692889i −0.621828 0.783154i \(-0.713610\pi\)
−0.700284 + 0.713865i \(0.746943\pi\)
\(98\) −6.20641 + 1.66300i −0.626942 + 0.167989i
\(99\) 1.49133 1.49133i 0.149884 0.149884i
\(100\) −2.23411 2.48123i −0.223411 0.248123i
\(101\) −2.15597 1.94124i −0.214527 0.193161i 0.554860 0.831943i \(-0.312772\pi\)
−0.769387 + 0.638783i \(0.779438\pi\)
\(102\) 14.1277 0.740402i 1.39885 0.0733107i
\(103\) 6.26558 + 8.62383i 0.617366 + 0.849731i 0.997158 0.0753406i \(-0.0240044\pi\)
−0.379792 + 0.925072i \(0.624004\pi\)
\(104\) −2.66863 + 10.1086i −0.261681 + 0.991234i
\(105\) 0.166548 + 0.229234i 0.0162534 + 0.0223709i
\(106\) −10.0973 + 8.17665i −0.980738 + 0.794186i
\(107\) −11.1310 + 12.3622i −1.07607 + 1.19510i −0.0962238 + 0.995360i \(0.530676\pi\)
−0.979849 + 0.199740i \(0.935990\pi\)
\(108\) −2.16378 + 0.963376i −0.208210 + 0.0927009i
\(109\) 10.6509 1.68693i 1.02017 0.161579i 0.376127 0.926568i \(-0.377256\pi\)
0.644043 + 0.764989i \(0.277256\pi\)
\(110\) 0.733142 + 1.12894i 0.0699024 + 0.107640i
\(111\) −11.2861 4.33234i −1.07123 0.411208i
\(112\) 0.0301506 + 0.00477538i 0.00284896 + 0.000451231i
\(113\) 5.99299 + 6.65589i 0.563773 + 0.626134i 0.955870 0.293790i \(-0.0949168\pi\)
−0.392097 + 0.919924i \(0.628250\pi\)
\(114\) −2.37836 1.05892i −0.222754 0.0991766i
\(115\) 0.463929 + 8.85229i 0.0432616 + 0.825480i
\(116\) −2.88588 8.88182i −0.267947 0.824656i
\(117\) −7.54170 + 0.0278529i −0.697230 + 0.00257500i
\(118\) 9.28385 0.854647
\(119\) 0.152627 0.569610i 0.0139913 0.0522161i
\(120\) 1.97647 + 9.29856i 0.180426 + 0.848838i
\(121\) 4.06059 + 9.12023i 0.369145 + 0.829112i
\(122\) −8.49927 1.34615i −0.769487 0.121875i
\(123\) 21.9328 5.87686i 1.97761 0.529899i
\(124\) 2.26976 6.02073i 0.203830 0.540677i
\(125\) 8.10483 + 8.10483i 0.724918 + 0.724918i
\(126\) 0.0173643 + 0.165211i 0.00154694 + 0.0147181i
\(127\) −0.307278 + 2.92355i −0.0272665 + 0.259423i 0.972393 + 0.233347i \(0.0749679\pi\)
−0.999660 + 0.0260761i \(0.991699\pi\)
\(128\) −4.76185 3.09238i −0.420892 0.273330i
\(129\) 2.76738i 0.243654i
\(130\) 0.983392 4.71200i 0.0862492 0.413270i
\(131\) −2.25265 + 6.93295i −0.196815 + 0.605734i 0.803136 + 0.595796i \(0.203163\pi\)
−0.999951 + 0.00993810i \(0.996837\pi\)
\(132\) −0.137608 2.62572i −0.0119773 0.228540i
\(133\) −0.0726148 + 0.0806469i −0.00629650 + 0.00699298i
\(134\) −2.50491 + 0.263277i −0.216391 + 0.0227436i
\(135\) 2.65319 1.35187i 0.228350 0.116350i
\(136\) 12.4508 15.3754i 1.06764 1.31843i
\(137\) 4.36704 11.3765i 0.373102 0.971963i −0.610566 0.791966i \(-0.709058\pi\)
0.983667 0.179997i \(-0.0576088\pi\)
\(138\) −5.74332 + 11.2719i −0.488904 + 0.959529i
\(139\) −0.793564 1.78237i −0.0673092 0.151179i 0.876758 0.480931i \(-0.159701\pi\)
−0.944067 + 0.329752i \(0.893035\pi\)
\(140\) 0.144321 + 0.0151687i 0.0121973 + 0.00128199i
\(141\) −0.611984 11.6774i −0.0515384 0.983410i
\(142\) 0.472308 0.650076i 0.0396352 0.0545532i
\(143\) −1.29029 + 3.39878i −0.107899 + 0.284221i
\(144\) −0.228296 + 0.702623i −0.0190247 + 0.0585519i
\(145\) 4.20755 + 10.9610i 0.349418 + 0.910265i
\(146\) 1.46740 + 1.32125i 0.121443 + 0.109347i
\(147\) −15.4337 3.28054i −1.27295 0.270574i
\(148\) −5.51655 + 2.81082i −0.453457 + 0.231048i
\(149\) 2.61366 + 9.75431i 0.214119 + 0.799104i 0.986475 + 0.163914i \(0.0524118\pi\)
−0.772355 + 0.635191i \(0.780921\pi\)
\(150\) 1.55046 + 5.78639i 0.126594 + 0.472457i
\(151\) −7.53978 14.7976i −0.613578 1.20422i −0.963568 0.267462i \(-0.913815\pi\)
0.349990 0.936753i \(-0.386185\pi\)
\(152\) −3.32610 + 1.48087i −0.269782 + 0.120115i
\(153\) 13.0378 + 5.80480i 1.05404 + 0.469290i
\(154\) 0.0773490 + 0.0207256i 0.00623296 + 0.00167012i
\(155\) −2.45349 + 7.70823i −0.197069 + 0.619140i
\(156\) −6.26543 + 7.01035i −0.501636 + 0.561278i
\(157\) −1.32057 + 0.959447i −0.105393 + 0.0765722i −0.639233 0.769013i \(-0.720748\pi\)
0.533841 + 0.845585i \(0.320748\pi\)
\(158\) −0.293070 + 0.237323i −0.0233154 + 0.0188804i
\(159\) −31.2088 + 6.63363i −2.47502 + 0.526081i
\(160\) 6.88858 + 3.97712i 0.544590 + 0.314419i
\(161\) 0.372879 + 0.372879i 0.0293870 + 0.0293870i
\(162\) 10.0020 + 0.524185i 0.785835 + 0.0411839i
\(163\) −10.7301 16.5229i −0.840444 1.29417i −0.953747 0.300609i \(-0.902810\pi\)
0.113304 0.993560i \(-0.463857\pi\)
\(164\) 5.27945 10.3615i 0.412256 0.809098i
\(165\) 0.345528 + 3.28748i 0.0268993 + 0.255930i
\(166\) −5.42451 + 1.15301i −0.421024 + 0.0894913i
\(167\) 14.1431 5.42904i 1.09443 0.420112i 0.256862 0.966448i \(-0.417311\pi\)
0.837566 + 0.546336i \(0.183978\pi\)
\(168\) 0.457510 + 0.332400i 0.0352977 + 0.0256452i
\(169\) 11.8367 5.37515i 0.910516 0.413473i
\(170\) −5.35406 + 7.36924i −0.410638 + 0.565195i
\(171\) −1.65282 2.04107i −0.126395 0.156084i
\(172\) 1.05326 + 0.948359i 0.0803103 + 0.0723117i
\(173\) −2.27180 5.10255i −0.172722 0.387940i 0.806354 0.591433i \(-0.201437\pi\)
−0.979077 + 0.203493i \(0.934771\pi\)
\(174\) −2.62119 + 16.5495i −0.198712 + 1.25462i
\(175\) 0.249365 + 0.0130686i 0.0188502 + 0.000987896i
\(176\) 0.276762 + 0.224117i 0.0208617 + 0.0168935i
\(177\) 20.3132 + 10.3501i 1.52683 + 0.777960i
\(178\) 1.77938 8.37131i 0.133370 0.627456i
\(179\) −2.74791 + 0.584087i −0.205389 + 0.0436567i −0.309457 0.950913i \(-0.600147\pi\)
0.104068 + 0.994570i \(0.466814\pi\)
\(180\) −0.908971 + 3.39233i −0.0677507 + 0.252849i
\(181\) −2.15535 −0.160206 −0.0801031 0.996787i \(-0.525525\pi\)
−0.0801031 + 0.996787i \(0.525525\pi\)
\(182\) −0.144089 0.247455i −0.0106806 0.0183426i
\(183\) −17.0958 12.4208i −1.26375 0.918171i
\(184\) 6.34019 + 16.5168i 0.467405 + 1.21763i
\(185\) 6.74096 3.89189i 0.495605 0.286138i
\(186\) −8.53270 + 7.77615i −0.625648 + 0.570175i
\(187\) 4.86459 4.86459i 0.355734 0.355734i
\(188\) −4.65410 3.76881i −0.339435 0.274869i
\(189\) 0.0634816 0.165375i 0.00461761 0.0120293i
\(190\) 1.49357 0.761013i 0.108355 0.0552097i
\(191\) −11.9905 + 20.7681i −0.867601 + 1.50273i −0.00315966 + 0.999995i \(0.501006\pi\)
−0.864441 + 0.502734i \(0.832328\pi\)
\(192\) 6.47287 + 11.2113i 0.467139 + 0.809109i
\(193\) −3.96153 2.57265i −0.285157 0.185183i 0.394132 0.919054i \(-0.371045\pi\)
−0.679290 + 0.733870i \(0.737712\pi\)
\(194\) 11.3951 3.70250i 0.818121 0.265824i
\(195\) 7.40484 9.21359i 0.530272 0.659799i
\(196\) −6.53757 + 4.74982i −0.466969 + 0.339273i
\(197\) 11.2608 + 7.31284i 0.802298 + 0.521018i 0.879444 0.476002i \(-0.157914\pi\)
−0.0771468 + 0.997020i \(0.524581\pi\)
\(198\) −0.788251 + 1.77044i −0.0560185 + 0.125820i
\(199\) −7.41311 + 3.30053i −0.525501 + 0.233968i −0.652301 0.757960i \(-0.726196\pi\)
0.126800 + 0.991928i \(0.459529\pi\)
\(200\) 7.46451 + 3.80336i 0.527821 + 0.268938i
\(201\) −5.77429 2.21654i −0.407287 0.156343i
\(202\) 2.48876 + 0.955346i 0.175109 + 0.0672179i
\(203\) 0.622319 + 0.317087i 0.0436782 + 0.0222552i
\(204\) 16.2540 7.23673i 1.13801 0.506673i
\(205\) −5.94648 + 13.3560i −0.415320 + 0.932824i
\(206\) −8.21479 5.33475i −0.572352 0.371690i
\(207\) −10.3248 + 7.50139i −0.717621 + 0.521382i
\(208\) −0.137790 1.26599i −0.00955400 0.0877805i
\(209\) −1.20406 + 0.391223i −0.0832866 + 0.0270614i
\(210\) −0.218361 0.141805i −0.0150683 0.00978549i
\(211\) −11.6189 20.1245i −0.799878 1.38543i −0.919695 0.392634i \(-0.871564\pi\)
0.119816 0.992796i \(-0.461769\pi\)
\(212\) −8.17025 + 14.1513i −0.561135 + 0.971914i
\(213\) 1.75815 0.895824i 0.120467 0.0613808i
\(214\) 5.47790 14.2704i 0.374462 0.975506i
\(215\) −1.38474 1.12134i −0.0944387 0.0764749i
\(216\) 4.20237 4.20237i 0.285935 0.285935i
\(217\) 0.198365 + 0.438431i 0.0134659 + 0.0297626i
\(218\) −8.58142 + 4.95448i −0.581207 + 0.335560i
\(219\) 1.73769 + 4.52683i 0.117422 + 0.305895i
\(220\) 1.36962 + 0.995084i 0.0923395 + 0.0670886i
\(221\) −24.6004 + 0.0908539i −1.65480 + 0.00611149i
\(222\) 11.1085 0.745555
\(223\) −1.47409 + 5.50138i −0.0987123 + 0.368399i −0.997556 0.0698697i \(-0.977742\pi\)
0.898844 + 0.438269i \(0.144408\pi\)
\(224\) 0.462844 0.0983806i 0.0309251 0.00657333i
\(225\) −1.25646 + 5.91119i −0.0837641 + 0.394079i
\(226\) −7.33291 3.73630i −0.487778 0.248535i
\(227\) 15.4698 + 12.5272i 1.02677 + 0.831458i 0.985837 0.167704i \(-0.0536353\pi\)
0.0409278 + 0.999162i \(0.486969\pi\)
\(228\) −3.26975 0.171360i −0.216544 0.0113486i
\(229\) 3.63361 22.9417i 0.240116 1.51603i −0.513142 0.858304i \(-0.671519\pi\)
0.753257 0.657726i \(-0.228481\pi\)
\(230\) −3.31304 7.44122i −0.218456 0.490659i
\(231\) 0.146135 + 0.131580i 0.00961496 + 0.00865735i
\(232\) 14.7467 + 18.2106i 0.968166 + 1.19559i
\(233\) −15.6015 + 21.4736i −1.02209 + 1.40678i −0.111355 + 0.993781i \(0.535519\pi\)
−0.910731 + 0.413000i \(0.864481\pi\)
\(234\) 6.46052 2.50738i 0.422337 0.163912i
\(235\) 6.09109 + 4.42543i 0.397339 + 0.288684i
\(236\) 10.9004 4.18426i 0.709554 0.272372i
\(237\) −0.905820 + 0.192538i −0.0588393 + 0.0125067i
\(238\) 0.0566410 + 0.538903i 0.00367149 + 0.0349319i
\(239\) −7.92341 + 15.5506i −0.512523 + 1.00588i 0.479226 + 0.877691i \(0.340917\pi\)
−0.991749 + 0.128192i \(0.959083\pi\)
\(240\) −0.630644 0.971107i −0.0407079 0.0626847i
\(241\) −12.1990 0.639321i −0.785805 0.0411823i −0.344788 0.938681i \(-0.612049\pi\)
−0.441018 + 0.897498i \(0.645382\pi\)
\(242\) −6.48669 6.48669i −0.416981 0.416981i
\(243\) 15.9753 + 9.22337i 1.02482 + 0.591679i
\(244\) −10.5859 + 2.25010i −0.677693 + 0.144048i
\(245\) 7.89525 6.39345i 0.504409 0.408462i
\(246\) −16.8799 + 12.2640i −1.07622 + 0.781921i
\(247\) 4.04129 + 2.04038i 0.257141 + 0.129826i
\(248\) 0.0969363 + 16.1445i 0.00615546 + 1.02517i
\(249\) −13.1543 3.52469i −0.833622 0.223368i
\(250\) −9.62170 4.28386i −0.608530 0.270935i
\(251\) 2.41958 1.07727i 0.152723 0.0679965i −0.328952 0.944347i \(-0.606695\pi\)
0.481675 + 0.876350i \(0.340029\pi\)
\(252\) 0.0948489 + 0.186151i 0.00597492 + 0.0117264i
\(253\) 1.59223 + 5.94229i 0.100103 + 0.373589i
\(254\) −0.699126 2.60917i −0.0438671 0.163714i
\(255\) −19.9303 + 10.1550i −1.24809 + 0.635932i
\(256\) 16.3268 + 3.47038i 1.02043 + 0.216899i
\(257\) −13.9151 12.5292i −0.868001 0.781552i 0.109166 0.994024i \(-0.465182\pi\)
−0.977167 + 0.212472i \(0.931849\pi\)
\(258\) −0.911299 2.37402i −0.0567350 0.147800i
\(259\) 0.143089 0.440381i 0.00889109 0.0273640i
\(260\) −0.969092 5.97569i −0.0601005 0.370596i
\(261\) −9.93552 + 13.6751i −0.614993 + 0.846466i
\(262\) −0.350570 6.68927i −0.0216583 0.413264i
\(263\) 16.2016 + 1.70286i 0.999034 + 0.105003i 0.589904 0.807474i \(-0.299166\pi\)
0.409130 + 0.912476i \(0.365832\pi\)
\(264\) 2.68339 + 6.02699i 0.165151 + 0.370936i
\(265\) 9.32645 18.3042i 0.572919 1.12442i
\(266\) 0.0357360 0.0930955i 0.00219112 0.00570805i
\(267\) 13.2260 16.3328i 0.809420 0.999551i
\(268\) −2.82241 + 1.43809i −0.172406 + 0.0878453i
\(269\) 1.86139 0.195640i 0.113491 0.0119284i −0.0476127 0.998866i \(-0.515161\pi\)
0.161104 + 0.986937i \(0.448495\pi\)
\(270\) −1.83088 + 2.03340i −0.111424 + 0.123749i
\(271\) −0.698154 13.3216i −0.0424099 0.809228i −0.934194 0.356766i \(-0.883879\pi\)
0.891784 0.452462i \(-0.149454\pi\)
\(272\) −0.744682 + 2.29190i −0.0451530 + 0.138967i
\(273\) −0.0393945 0.702071i −0.00238426 0.0424913i
\(274\) 11.1975i 0.676465i
\(275\) 2.44314 + 1.58660i 0.147327 + 0.0956754i
\(276\) −1.66308 + 15.8231i −0.100106 + 0.952441i
\(277\) −1.56930 14.9309i −0.0942903 0.897112i −0.934766 0.355263i \(-0.884391\pi\)
0.840476 0.541849i \(-0.182276\pi\)
\(278\) 1.26770 + 1.26770i 0.0760316 + 0.0760316i
\(279\) −11.2310 + 3.08173i −0.672382 + 0.184498i
\(280\) −0.351709 + 0.0942402i −0.0210187 + 0.00563193i
\(281\) −1.46031 0.231291i −0.0871151 0.0137977i 0.112725 0.993626i \(-0.464042\pi\)
−0.199840 + 0.979829i \(0.564042\pi\)
\(282\) 4.37035 + 9.81596i 0.260250 + 0.584532i
\(283\) −3.68530 17.3380i −0.219068 1.03063i −0.940931 0.338599i \(-0.890047\pi\)
0.721863 0.692036i \(-0.243286\pi\)
\(284\) 0.261556 0.976140i 0.0155205 0.0579233i
\(285\) 4.11637 0.243833
\(286\) −0.0123373 3.34056i −0.000729521 0.197531i
\(287\) 0.268758 + 0.827151i 0.0158643 + 0.0488252i
\(288\) 0.599336 + 11.4360i 0.0353162 + 0.673874i
\(289\) 26.9979 + 12.0202i 1.58811 + 0.707073i
\(290\) −7.21895 8.01745i −0.423911 0.470801i
\(291\) 29.0604 + 4.60271i 1.70355 + 0.269816i
\(292\) 2.31839 + 0.889948i 0.135674 + 0.0520803i
\(293\) −10.0146 15.4211i −0.585058 0.900911i 0.414901 0.909866i \(-0.363816\pi\)
−0.999960 + 0.00895530i \(0.997149\pi\)
\(294\) 14.3202 2.26809i 0.835170 0.132278i
\(295\) −13.4099 + 5.97046i −0.780753 + 0.347613i
\(296\) 10.3950 11.5448i 0.604196 0.671028i
\(297\) 1.60601 1.30052i 0.0931903 0.0754640i
\(298\) −5.45424 7.50712i −0.315956 0.434876i
\(299\) 10.9288 19.0918i 0.632031 1.10411i
\(300\) 4.42838 + 6.09514i 0.255672 + 0.351903i
\(301\) −0.105853 + 0.00554751i −0.00610126 + 0.000319753i
\(302\) 11.3409 + 10.2114i 0.652596 + 0.587600i
\(303\) 4.38038 + 4.86490i 0.251646 + 0.279481i
\(304\) 0.313584 0.313584i 0.0179853 0.0179853i
\(305\) 13.1423 3.52147i 0.752526 0.201639i
\(306\) −13.0961 0.686336i −0.748652 0.0392352i
\(307\) 2.09743 + 13.2426i 0.119707 + 0.755797i 0.972389 + 0.233367i \(0.0749744\pi\)
−0.852682 + 0.522430i \(0.825026\pi\)
\(308\) 0.100158 0.0105271i 0.00570705 0.000599835i
\(309\) −12.0266 20.8307i −0.684172 1.18502i
\(310\) −0.433582 7.42048i −0.0246258 0.421455i
\(311\) 20.9349i 1.18711i −0.804794 0.593554i \(-0.797724\pi\)
0.804794 0.593554i \(-0.202276\pi\)
\(312\) 8.37301 22.0556i 0.474028 1.24865i
\(313\) 4.15791 5.72287i 0.235019 0.323476i −0.675175 0.737657i \(-0.735932\pi\)
0.910194 + 0.414181i \(0.135932\pi\)
\(314\) 0.816909 1.25793i 0.0461008 0.0709891i
\(315\) −0.131329 0.227468i −0.00739954 0.0128164i
\(316\) −0.237138 + 0.410734i −0.0133400 + 0.0231056i
\(317\) 6.61960 + 12.9917i 0.371794 + 0.729687i 0.998782 0.0493423i \(-0.0157125\pi\)
−0.626988 + 0.779029i \(0.715713\pi\)
\(318\) 24.5882 15.9678i 1.37884 0.895427i
\(319\) 4.43780 + 6.83362i 0.248469 + 0.382609i
\(320\) −8.23274 1.30394i −0.460224 0.0728923i
\(321\) 27.8951 25.1168i 1.55695 1.40189i
\(322\) −0.442665 0.197087i −0.0246688 0.0109832i
\(323\) −5.39137 6.65778i −0.299984 0.370449i
\(324\) 11.9799 3.89250i 0.665549 0.216250i
\(325\) −2.20343 10.1813i −0.122224 0.564755i
\(326\) 14.6458 + 10.6408i 0.811157 + 0.589340i
\(327\) −24.2997 + 1.27350i −1.34378 + 0.0704245i
\(328\) −3.05002 + 29.0190i −0.168409 + 1.60231i
\(329\) 0.445434 0.0468170i 0.0245576 0.00258110i
\(330\) −1.37898 2.70640i −0.0759103 0.148982i
\(331\) −20.9100 + 25.8217i −1.14932 + 1.41929i −0.257861 + 0.966182i \(0.583018\pi\)
−0.891456 + 0.453107i \(0.850316\pi\)
\(332\) −5.84937 + 3.79863i −0.321026 + 0.208477i
\(333\) 9.98490 + 5.08756i 0.547169 + 0.278797i
\(334\) −10.3450 + 9.31467i −0.566052 + 0.509676i
\(335\) 3.44885 1.99120i 0.188431 0.108791i
\(336\) −0.0665352 0.0178280i −0.00362979 0.000972600i
\(337\) −9.34297 + 28.7547i −0.508944 + 1.56637i 0.285093 + 0.958500i \(0.407975\pi\)
−0.794037 + 0.607869i \(0.792025\pi\)
\(338\) −8.38415 + 8.50894i −0.456038 + 0.462825i
\(339\) −11.8791 16.3502i −0.645183 0.888019i
\(340\) −2.96499 + 11.0655i −0.160799 + 0.600110i
\(341\) −0.553285 + 5.58662i −0.0299620 + 0.302533i
\(342\) 2.09001 + 1.20667i 0.113015 + 0.0652490i
\(343\) 0.189186 1.19447i 0.0102151 0.0644955i
\(344\) −3.32001 1.27443i −0.179003 0.0687129i
\(345\) 1.04685 19.9750i 0.0563603 1.07542i
\(346\) 3.62915 + 3.62915i 0.195104 + 0.195104i
\(347\) 14.7754 + 8.53055i 0.793183 + 0.457944i 0.841082 0.540908i \(-0.181919\pi\)
−0.0478992 + 0.998852i \(0.515253\pi\)
\(348\) 4.38133 + 20.6126i 0.234864 + 1.10495i
\(349\) −21.5006 + 1.12680i −1.15090 + 0.0603163i −0.618224 0.786002i \(-0.712148\pi\)
−0.532678 + 0.846318i \(0.678814\pi\)
\(350\) −0.218222 + 0.0709047i −0.0116645 + 0.00379002i
\(351\) −7.35207 0.745292i −0.392425 0.0397808i
\(352\) 5.25006 + 1.70585i 0.279829 + 0.0909220i
\(353\) −5.03843 13.1256i −0.268169 0.698603i −0.999856 0.0169629i \(-0.994600\pi\)
0.731688 0.681640i \(-0.238733\pi\)
\(354\) −20.8341 2.18975i −1.10732 0.116384i
\(355\) −0.264151 + 1.24273i −0.0140197 + 0.0659574i
\(356\) −1.68377 10.6309i −0.0892397 0.563437i
\(357\) −0.476864 + 1.24227i −0.0252383 + 0.0657481i
\(358\) 2.16497 1.40595i 0.114422 0.0743068i
\(359\) −1.90218 12.0099i −0.100393 0.633858i −0.985656 0.168767i \(-0.946021\pi\)
0.885263 0.465091i \(-0.153979\pi\)
\(360\) −0.921117 8.76384i −0.0485471 0.461895i
\(361\) −3.62254 17.0427i −0.190660 0.896985i
\(362\) 1.84898 0.709758i 0.0971804 0.0373041i
\(363\) −6.96129 21.4247i −0.365373 1.12450i
\(364\) −0.280707 0.225601i −0.0147130 0.0118247i
\(365\) −2.96925 0.964767i −0.155418 0.0504982i
\(366\) 18.7559 + 5.02562i 0.980384 + 0.262693i
\(367\) 18.7809 10.8431i 0.980353 0.566007i 0.0779765 0.996955i \(-0.475154\pi\)
0.902377 + 0.430948i \(0.141821\pi\)
\(368\) −1.44194 1.60144i −0.0751666 0.0834809i
\(369\) −20.7892 + 3.29269i −1.08224 + 0.171411i
\(370\) −4.50117 + 5.55848i −0.234005 + 0.288972i
\(371\) −0.316299 1.18044i −0.0164214 0.0612856i
\(372\) −6.51370 + 12.9759i −0.337720 + 0.672768i
\(373\) 1.01830 1.76374i 0.0527255 0.0913232i −0.838458 0.544966i \(-0.816542\pi\)
0.891184 + 0.453643i \(0.149876\pi\)
\(374\) −2.57121 + 5.77503i −0.132954 + 0.298620i
\(375\) −16.2766 20.0999i −0.840518 1.03795i
\(376\) 14.2911 + 4.64346i 0.737007 + 0.239468i
\(377\) 5.95260 28.5223i 0.306575 1.46898i
\(378\) 0.162773i 0.00837212i
\(379\) 15.8329 24.3805i 0.813280 1.25234i −0.151284 0.988490i \(-0.548341\pi\)
0.964564 0.263851i \(-0.0849926\pi\)
\(380\) 1.41065 1.56668i 0.0723646 0.0803690i
\(381\) 1.37914 6.48833i 0.0706553 0.332407i
\(382\) 3.44716 21.7645i 0.176372 1.11357i
\(383\) 0.373869 7.13385i 0.0191038 0.364523i −0.972304 0.233718i \(-0.924911\pi\)
0.991408 0.130804i \(-0.0417560\pi\)
\(384\) 9.95677 + 8.06283i 0.508104 + 0.411455i
\(385\) −0.125054 + 0.0198066i −0.00637334 + 0.00100944i
\(386\) 4.24560 + 0.902430i 0.216095 + 0.0459325i
\(387\) 0.268147 2.55125i 0.0136307 0.129687i
\(388\) 11.7105 9.48300i 0.594512 0.481426i
\(389\) −5.96860 18.3694i −0.302620 0.931368i −0.980555 0.196246i \(-0.937125\pi\)
0.677935 0.735122i \(-0.262875\pi\)
\(390\) −3.31825 + 10.3423i −0.168026 + 0.523705i
\(391\) −33.6785 + 24.4689i −1.70320 + 1.23745i
\(392\) 11.0432 17.0050i 0.557764 0.858882i
\(393\) 6.69047 15.0270i 0.337489 0.758014i
\(394\) −12.0682 2.56518i −0.607989 0.129232i
\(395\) 0.270696 0.531271i 0.0136202 0.0267311i
\(396\) −0.127560 + 2.43398i −0.00641011 + 0.122312i
\(397\) −16.4267 + 4.40152i −0.824433 + 0.220906i −0.646283 0.763097i \(-0.723678\pi\)
−0.178149 + 0.984003i \(0.557011\pi\)
\(398\) 5.27251 5.27251i 0.264287 0.264287i
\(399\) 0.181978 0.163854i 0.00911031 0.00820296i
\(400\) −1.01484 0.106664i −0.0507422 0.00533322i
\(401\) −2.10286 + 0.807213i −0.105012 + 0.0403103i −0.410307 0.911948i \(-0.634578\pi\)
0.305295 + 0.952258i \(0.401245\pi\)
\(402\) 5.68341 0.283463
\(403\) 15.4779 12.7842i 0.771007 0.636827i
\(404\) 3.35269 0.166803
\(405\) −14.7844 + 5.67518i −0.734641 + 0.282002i
\(406\) −0.638276 0.0670856i −0.0316771 0.00332940i
\(407\) 4.01443 3.61461i 0.198988 0.179169i
\(408\) −31.5675 + 31.5675i −1.56283 + 1.56283i
\(409\) −0.718033 + 0.192396i −0.0355045 + 0.00951339i −0.276528 0.961006i \(-0.589184\pi\)
0.241023 + 0.970519i \(0.422517\pi\)
\(410\) 0.703088 13.4157i 0.0347230 0.662555i
\(411\) −12.4835 + 24.5003i −0.615766 + 1.20851i
\(412\) −12.0496 2.56121i −0.593639 0.126182i
\(413\) −0.355172 + 0.797730i −0.0174769 + 0.0392537i
\(414\) 6.38696 9.83506i 0.313902 0.483367i
\(415\) 7.09382 5.15396i 0.348222 0.252998i
\(416\) −9.02655 17.5550i −0.442563 0.860706i
\(417\) 1.36045 + 4.18704i 0.0666215 + 0.205040i
\(418\) 0.904080 0.732110i 0.0442200 0.0358087i
\(419\) −0.975157 + 9.27799i −0.0476395 + 0.453260i 0.944536 + 0.328408i \(0.106512\pi\)
−0.992175 + 0.124852i \(0.960155\pi\)
\(420\) −0.320295 0.0680807i −0.0156288 0.00332200i
\(421\) 18.6067 2.94701i 0.906836 0.143629i 0.314441 0.949277i \(-0.398183\pi\)
0.592394 + 0.805648i \(0.298183\pi\)
\(422\) 16.5944 + 13.4378i 0.807801 + 0.654144i
\(423\) −0.567295 + 10.8246i −0.0275828 + 0.526312i
\(424\) 6.41393 40.4959i 0.311488 1.96666i
\(425\) −4.09847 + 19.2818i −0.198805 + 0.935304i
\(426\) −1.21325 + 1.34745i −0.0587820 + 0.0652841i
\(427\) 0.440827 0.678814i 0.0213331 0.0328501i
\(428\) 19.2241i 0.929234i
\(429\) 3.69722 7.32294i 0.178504 0.353555i
\(430\) 1.55717 + 0.505954i 0.0750933 + 0.0243993i
\(431\) 4.26838 + 5.27101i 0.205601 + 0.253896i 0.869508 0.493919i \(-0.164436\pi\)
−0.663907 + 0.747815i \(0.731103\pi\)
\(432\) −0.294433 + 0.661308i −0.0141659 + 0.0318172i
\(433\) −8.10544 + 14.0390i −0.389522 + 0.674672i −0.992385 0.123172i \(-0.960693\pi\)
0.602863 + 0.797845i \(0.294027\pi\)
\(434\) −0.314544 0.310789i −0.0150986 0.0149183i
\(435\) −6.85691 25.5903i −0.328763 1.22696i
\(436\) −7.84263 + 9.68485i −0.375594 + 0.463820i
\(437\) 7.56652 1.19842i 0.361956 0.0573282i
\(438\) −2.98137 3.31115i −0.142456 0.158213i
\(439\) 6.82672 3.94141i 0.325821 0.188113i −0.328163 0.944621i \(-0.606430\pi\)
0.653984 + 0.756508i \(0.273096\pi\)
\(440\) −4.10309 1.09942i −0.195607 0.0524128i
\(441\) 13.9105 + 4.51978i 0.662402 + 0.215228i
\(442\) 21.0737 8.17885i 1.00237 0.389028i
\(443\) 6.05051 + 18.6216i 0.287468 + 0.884737i 0.985648 + 0.168814i \(0.0539938\pi\)
−0.698179 + 0.715923i \(0.746006\pi\)
\(444\) 13.0428 5.00665i 0.618983 0.237605i
\(445\) 2.81342 + 13.2361i 0.133369 + 0.627451i
\(446\) −0.547047 5.20481i −0.0259034 0.246455i
\(447\) −3.56465 22.5063i −0.168602 1.06451i
\(448\) −0.415860 + 0.270063i −0.0196475 + 0.0127593i
\(449\) −9.86622 + 25.7024i −0.465616 + 1.21297i 0.476944 + 0.878934i \(0.341744\pi\)
−0.942560 + 0.334037i \(0.891589\pi\)
\(450\) −0.868691 5.48470i −0.0409505 0.258551i
\(451\) −2.10952 + 9.92453i −0.0993336 + 0.467328i
\(452\) −10.2937 1.08191i −0.484175 0.0508888i
\(453\) 13.4299 + 34.9861i 0.630991 + 1.64379i
\(454\) −17.3960 5.65232i −0.816437 0.265276i
\(455\) 0.367265 + 0.264767i 0.0172176 + 0.0124125i
\(456\) 7.81345 2.53874i 0.365898 0.118887i
\(457\) −2.90222 + 0.152099i −0.135760 + 0.00711489i −0.120095 0.992762i \(-0.538320\pi\)
−0.0156652 + 0.999877i \(0.504987\pi\)
\(458\) 4.43759 + 20.8772i 0.207355 + 0.975528i
\(459\) 12.1105 + 6.99200i 0.565270 + 0.326359i
\(460\) −7.24370 7.24370i −0.337739 0.337739i
\(461\) 0.522544 9.97074i 0.0243373 0.464384i −0.959092 0.283094i \(-0.908639\pi\)
0.983430 0.181290i \(-0.0580274\pi\)
\(462\) −0.168692 0.0647548i −0.00784826 0.00301267i
\(463\) 0.587548 3.70963i 0.0273057 0.172401i −0.970267 0.242038i \(-0.922184\pi\)
0.997572 + 0.0696369i \(0.0221841\pi\)
\(464\) −2.47182 1.42711i −0.114751 0.0662518i
\(465\) 7.32403 16.7195i 0.339644 0.775348i
\(466\) 6.31256 23.5588i 0.292424 1.09134i
\(467\) −7.39518 10.1786i −0.342208 0.471009i 0.602876 0.797835i \(-0.294021\pi\)
−0.945085 + 0.326825i \(0.894021\pi\)
\(468\) 6.45536 5.85575i 0.298399 0.270682i
\(469\) 0.0732079 0.225311i 0.00338043 0.0104039i
\(470\) −6.68257 1.79059i −0.308244 0.0825937i
\(471\) 3.18981 1.84164i 0.146979 0.0848581i
\(472\) −21.7716 + 19.6032i −1.00212 + 0.902311i
\(473\) −1.10181 0.561400i −0.0506612 0.0258132i
\(474\) 0.713660 0.463456i 0.0327795 0.0212873i
\(475\) 2.28295 2.81920i 0.104749 0.129354i
\(476\) 0.309389 + 0.607210i 0.0141808 + 0.0278314i
\(477\) 29.4141 3.09155i 1.34678 0.141552i
\(478\) 1.67634 15.9493i 0.0766741 0.729505i
\(479\) 25.5910 1.34117i 1.16928 0.0612796i 0.542213 0.840241i \(-0.317587\pi\)
0.627071 + 0.778962i \(0.284253\pi\)
\(480\) −14.5207 10.5499i −0.662777 0.481536i
\(481\) −19.2939 0.939711i −0.879725 0.0428471i
\(482\) 10.6755 3.46868i 0.486255 0.157994i
\(483\) −0.748835 0.924735i −0.0340732 0.0420769i
\(484\) −10.5398 4.69260i −0.479080 0.213300i
\(485\) −14.0784 + 12.6762i −0.639265 + 0.575597i
\(486\) −16.7418 2.65164i −0.759423 0.120281i
\(487\) 19.4496 + 29.9498i 0.881347 + 1.35716i 0.933523 + 0.358518i \(0.116718\pi\)
−0.0521756 + 0.998638i \(0.516616\pi\)
\(488\) 22.7741 14.7897i 1.03093 0.669497i
\(489\) 20.1824 + 39.6101i 0.912678 + 1.79123i
\(490\) −4.66762 + 8.08456i −0.210862 + 0.365223i
\(491\) 13.9466 + 24.1562i 0.629402 + 1.09016i 0.987672 + 0.156538i \(0.0500334\pi\)
−0.358270 + 0.933618i \(0.616633\pi\)
\(492\) −14.2917 + 22.0072i −0.644318 + 0.992162i
\(493\) −32.4088 + 44.6069i −1.45962 + 2.00899i
\(494\) −4.13874 0.419551i −0.186211 0.0188765i
\(495\) 3.06420i 0.137726i
\(496\) −0.715745 1.83163i −0.0321379 0.0822426i
\(497\) 0.0377898 + 0.0654539i 0.00169510 + 0.00293601i
\(498\) 12.4452 1.30804i 0.557683 0.0586148i
\(499\) 5.20786 + 32.8812i 0.233136 + 1.47196i 0.775248 + 0.631657i \(0.217625\pi\)
−0.542112 + 0.840306i \(0.682375\pi\)
\(500\) −13.2278 0.693240i −0.591565 0.0310026i
\(501\) −33.0194 + 8.84752i −1.47520 + 0.395278i
\(502\) −1.72091 + 1.72091i −0.0768079 + 0.0768079i
\(503\) 3.84106 + 4.26593i 0.171264 + 0.190208i 0.822666 0.568524i \(-0.192486\pi\)
−0.651402 + 0.758733i \(0.725819\pi\)
\(504\) −0.389570 0.350770i −0.0173528 0.0156245i
\(505\) −4.20923 + 0.220596i −0.187308 + 0.00981640i
\(506\) −3.32270 4.57331i −0.147712 0.203308i
\(507\) −27.8308 + 9.27060i −1.23601 + 0.411722i
\(508\) −1.99682 2.74839i −0.0885947 0.121940i
\(509\) 10.9657 8.87981i 0.486044 0.393591i −0.354737 0.934966i \(-0.615430\pi\)
0.840781 + 0.541376i \(0.182096\pi\)
\(510\) 13.7533 15.2746i 0.609007 0.676371i
\(511\) −0.169669 + 0.0755414i −0.00750570 + 0.00334175i
\(512\) −3.93297 + 0.622921i −0.173814 + 0.0275295i
\(513\) −1.40159 2.15826i −0.0618817 0.0952895i
\(514\) 16.0630 + 6.16602i 0.708510 + 0.271972i
\(515\) 15.2965 + 2.42272i 0.674043 + 0.106758i
\(516\) −2.13995 2.37666i −0.0942062 0.104627i
\(517\) 4.77338 + 2.12525i 0.209933 + 0.0934683i
\(518\) 0.0222682 + 0.424903i 0.000978409 + 0.0186692i
\(519\) 3.89468 + 11.9866i 0.170957 + 0.526153i
\(520\) 7.64342 + 13.1266i 0.335186 + 0.575639i
\(521\) −17.2597 −0.756159 −0.378080 0.925773i \(-0.623415\pi\)
−0.378080 + 0.925773i \(0.623415\pi\)
\(522\) 4.02004 15.0030i 0.175953 0.656664i
\(523\) −4.18790 19.7025i −0.183124 0.861530i −0.969750 0.244101i \(-0.921507\pi\)
0.786626 0.617430i \(-0.211826\pi\)
\(524\) −3.42649 7.69602i −0.149687 0.336202i
\(525\) −0.556521 0.0881443i −0.0242886 0.00384693i
\(526\) −14.4594 + 3.87438i −0.630459 + 0.168931i
\(527\) −36.6345 + 10.0523i −1.59583 + 0.437887i
\(528\) −0.568224 0.568224i −0.0247288 0.0247288i
\(529\) −1.48701 14.1479i −0.0646525 0.615127i
\(530\) −1.97318 + 18.7736i −0.0857095 + 0.815471i
\(531\) −17.7238 11.5100i −0.769148 0.499491i
\(532\) 0.125412i 0.00543730i
\(533\) 30.3553 19.8728i 1.31484 0.860785i
\(534\) −5.96764 + 18.3665i −0.258245 + 0.794797i
\(535\) 1.26489 + 24.1355i 0.0546858 + 1.04347i
\(536\) 5.31835 5.90662i 0.229718 0.255127i
\(537\) 6.30442 0.662621i 0.272056 0.0285942i
\(538\) −1.53238 + 0.780786i −0.0660656 + 0.0336621i
\(539\) 4.43705 5.47930i 0.191117 0.236010i
\(540\) −1.23322 + 3.21265i −0.0530694 + 0.138250i
\(541\) −4.49097 + 8.81403i −0.193082 + 0.378945i −0.967169 0.254135i \(-0.918209\pi\)
0.774087 + 0.633079i \(0.218209\pi\)
\(542\) 4.98571 + 11.1981i 0.214155 + 0.480999i
\(543\) 4.83687 + 0.508376i 0.207570 + 0.0218165i
\(544\) 1.95498 + 37.3033i 0.0838193 + 1.59937i
\(545\) 9.20902 12.6751i 0.394471 0.542943i
\(546\) 0.264987 + 0.589303i 0.0113404 + 0.0252199i
\(547\) −1.40096 + 4.31170i −0.0599006 + 0.184355i −0.976529 0.215385i \(-0.930899\pi\)
0.916629 + 0.399740i \(0.130899\pi\)
\(548\) 5.04675 + 13.1472i 0.215586 + 0.561622i
\(549\) 14.5570 + 13.1072i 0.621279 + 0.559402i
\(550\) −2.61833 0.556544i −0.111646 0.0237311i
\(551\) 9.04079 4.60651i 0.385150 0.196244i
\(552\) −10.3324 38.5610i −0.439776 1.64127i
\(553\) −0.00918042 0.0342618i −0.000390391 0.00145696i
\(554\) 6.26299 + 12.2918i 0.266089 + 0.522229i
\(555\) −16.0455 + 7.14391i −0.681093 + 0.303242i
\(556\) 2.05979 + 0.917078i 0.0873546 + 0.0388928i
\(557\) 4.75057 + 1.27291i 0.201288 + 0.0539350i 0.358054 0.933701i \(-0.383440\pi\)
−0.156766 + 0.987636i \(0.550107\pi\)
\(558\) 8.61976 6.34204i 0.364903 0.268480i
\(559\) 1.38197 + 4.20040i 0.0584509 + 0.177658i
\(560\) 0.0358808 0.0260689i 0.00151624 0.00110161i
\(561\) −12.0641 + 9.76933i −0.509347 + 0.412461i
\(562\) 1.32890 0.282467i 0.0560564 0.0119152i
\(563\) 9.80910 + 5.66329i 0.413404 + 0.238679i 0.692251 0.721656i \(-0.256619\pi\)
−0.278847 + 0.960335i \(0.589952\pi\)
\(564\) 9.55541 + 9.55541i 0.402355 + 0.402355i
\(565\) 12.9947 + 0.681023i 0.546691 + 0.0286509i
\(566\) 8.87085 + 13.6599i 0.372869 + 0.574169i
\(567\) −0.427690 + 0.839389i −0.0179613 + 0.0352510i
\(568\) 0.265051 + 2.52179i 0.0111213 + 0.105812i
\(569\) 33.1302 7.04205i 1.38889 0.295218i 0.548026 0.836461i \(-0.315380\pi\)
0.840866 + 0.541243i \(0.182046\pi\)
\(570\) −3.53125 + 1.35552i −0.147908 + 0.0567765i
\(571\) 10.0497 + 7.30156i 0.420568 + 0.305561i 0.777866 0.628430i \(-0.216302\pi\)
−0.357298 + 0.933990i \(0.616302\pi\)
\(572\) −1.52009 3.91667i −0.0635581 0.163764i
\(573\) 31.8066 43.7780i 1.32874 1.82885i
\(574\) −0.502936 0.621074i −0.0209921 0.0259231i
\(575\) −13.0998 11.7951i −0.546301 0.491891i
\(576\) −4.88100 10.9629i −0.203375 0.456788i
\(577\) −0.162752 + 1.02757i −0.00677544 + 0.0427784i −0.990844 0.135009i \(-0.956894\pi\)
0.984069 + 0.177787i \(0.0568938\pi\)
\(578\) −27.1186 1.42122i −1.12798 0.0591151i
\(579\) 8.28335 + 6.70773i 0.344244 + 0.278764i
\(580\) −12.0894 6.15987i −0.501986 0.255775i
\(581\) 0.108451 0.510221i 0.00449930 0.0211675i
\(582\) −26.4453 + 5.62112i −1.09619 + 0.233003i
\(583\) 3.68999 13.7712i 0.152824 0.570346i
\(584\) −6.23106 −0.257843
\(585\) −7.71927 + 7.77650i −0.319153 + 0.321519i
\(586\) 13.6692 + 9.93129i 0.564671 + 0.410258i
\(587\) −7.68816 20.0284i −0.317324 0.826659i −0.995759 0.0919979i \(-0.970675\pi\)
0.678435 0.734661i \(-0.262659\pi\)
\(588\) 15.7914 9.11718i 0.651227 0.375986i
\(589\) 6.84676 + 1.41241i 0.282116 + 0.0581974i
\(590\) 9.53766 9.53766i 0.392659 0.392659i
\(591\) −23.5457 19.0669i −0.968540 0.784308i
\(592\) −0.678120 + 1.76656i −0.0278706 + 0.0726053i
\(593\) −21.6940 + 11.0537i −0.890867 + 0.453919i −0.838621 0.544715i \(-0.816638\pi\)
−0.0522456 + 0.998634i \(0.516638\pi\)
\(594\) −0.949465 + 1.64452i −0.0389570 + 0.0674755i
\(595\) −0.428383 0.741982i −0.0175620 0.0304183i
\(596\) −9.78743 6.35603i −0.400909 0.260353i
\(597\) 17.4144 5.65828i 0.712723 0.231578i
\(598\) −3.08844 + 19.9769i −0.126296 + 0.816915i
\(599\) −38.2526 + 27.7921i −1.56296 + 1.13555i −0.629425 + 0.777061i \(0.716710\pi\)
−0.933532 + 0.358494i \(0.883290\pi\)
\(600\) −15.8542 10.2958i −0.647244 0.420325i
\(601\) −7.15935 + 16.0802i −0.292036 + 0.655924i −0.998665 0.0516610i \(-0.983548\pi\)
0.706629 + 0.707585i \(0.250215\pi\)
\(602\) 0.0889797 0.0396163i 0.00362654 0.00161464i
\(603\) 5.10854 + 2.60293i 0.208036 + 0.105999i
\(604\) 17.9179 + 6.87805i 0.729070 + 0.279864i
\(605\) 13.5412 + 5.19797i 0.550527 + 0.211328i
\(606\) −5.35974 2.73093i −0.217725 0.110936i
\(607\) 13.0968 5.83107i 0.531583 0.236676i −0.123350 0.992363i \(-0.539364\pi\)
0.654932 + 0.755687i \(0.272697\pi\)
\(608\) 2.79600 6.27992i 0.113393 0.254684i
\(609\) −1.32177 0.858366i −0.0535607 0.0347827i
\(610\) −10.1146 + 7.34868i −0.409528 + 0.297539i
\(611\) −6.76028 17.4186i −0.273492 0.704680i
\(612\) −15.6857 + 5.09660i −0.634058 + 0.206018i
\(613\) −9.91904 6.44150i −0.400626 0.260170i 0.328563 0.944482i \(-0.393436\pi\)
−0.729189 + 0.684312i \(0.760102\pi\)
\(614\) −6.16009 10.6696i −0.248601 0.430590i
\(615\) 16.4948 28.5699i 0.665136 1.15205i
\(616\) −0.225154 + 0.114722i −0.00907172 + 0.00462227i
\(617\) −4.28349 + 11.1589i −0.172447 + 0.449239i −0.992379 0.123221i \(-0.960678\pi\)
0.819932 + 0.572460i \(0.194011\pi\)
\(618\) 17.1767 + 13.9094i 0.690948 + 0.559518i
\(619\) −20.6887 + 20.6887i −0.831547 + 0.831547i −0.987728 0.156181i \(-0.950082\pi\)
0.156181 + 0.987728i \(0.450082\pi\)
\(620\) −3.85352 8.51714i −0.154761 0.342057i
\(621\) −10.8296 + 6.25246i −0.434576 + 0.250902i
\(622\) 6.89385 + 17.9591i 0.276418 + 0.720094i
\(623\) 0.651245 + 0.473157i 0.0260916 + 0.0189566i
\(624\) 0.0106125 + 2.87353i 0.000424839 + 0.115033i
\(625\) 2.20708 0.0882834
\(626\) −1.68235 + 6.27860i −0.0672401 + 0.250943i
\(627\) 2.79433 0.593953i 0.111595 0.0237202i
\(628\) 0.392198 1.84515i 0.0156504 0.0736294i
\(629\) 32.5699 + 16.5952i 1.29865 + 0.661694i
\(630\) 0.187566 + 0.151888i 0.00747283 + 0.00605138i
\(631\) 32.6598 + 1.71163i 1.30017 + 0.0681389i 0.689812 0.723989i \(-0.257693\pi\)
0.610355 + 0.792128i \(0.291027\pi\)
\(632\) 0.186161 1.17538i 0.00740509 0.0467539i
\(633\) 21.3275 + 47.9024i 0.847692 + 1.90395i
\(634\) −9.95683 8.96517i −0.395436 0.356052i
\(635\) 2.68780 + 3.31916i 0.106662 + 0.131717i
\(636\) 21.6728 29.8301i 0.859383 1.18284i
\(637\) −25.0639 + 2.72795i −0.993068 + 0.108085i
\(638\) −6.05731 4.40089i −0.239811 0.174233i
\(639\) −1.70764 + 0.655502i −0.0675532 + 0.0259313i
\(640\) −8.06896 + 1.71511i −0.318954 + 0.0677957i
\(641\) 1.16815 + 11.1142i 0.0461391 + 0.438984i 0.993068 + 0.117541i \(0.0375012\pi\)
−0.946929 + 0.321443i \(0.895832\pi\)
\(642\) −15.6590 + 30.7325i −0.618011 + 1.21291i
\(643\) −13.9101 21.4197i −0.548563 0.844712i 0.450276 0.892889i \(-0.351325\pi\)
−0.998839 + 0.0481770i \(0.984659\pi\)
\(644\) −0.608571 0.0318939i −0.0239811 0.00125679i
\(645\) 2.84304 + 2.84304i 0.111945 + 0.111945i
\(646\) 6.81743 + 3.93604i 0.268228 + 0.154862i
\(647\) −18.7190 + 3.97884i −0.735920 + 0.156425i −0.560600 0.828087i \(-0.689429\pi\)
−0.175320 + 0.984512i \(0.556096\pi\)
\(648\) −24.5626 + 19.8904i −0.964912 + 0.781370i
\(649\) −8.24159 + 5.98787i −0.323511 + 0.235044i
\(650\) 5.24291 + 8.00847i 0.205644 + 0.314118i
\(651\) −0.341743 1.03068i −0.0133940 0.0403955i
\(652\) 21.9919 + 5.89270i 0.861267 + 0.230776i
\(653\) 18.1777 + 8.09323i 0.711348 + 0.316713i 0.730318 0.683107i \(-0.239372\pi\)
−0.0189697 + 0.999820i \(0.506039\pi\)
\(654\) 20.4263 9.09438i 0.798732 0.355619i
\(655\) 4.80825 + 9.43673i 0.187874 + 0.368723i
\(656\) −0.919876 3.43302i −0.0359151 0.134037i
\(657\) −1.16334 4.34166i −0.0453864 0.169384i
\(658\) −0.366701 + 0.186844i −0.0142955 + 0.00728392i
\(659\) −36.3484 7.72610i −1.41593 0.300966i −0.564503 0.825431i \(-0.690932\pi\)
−0.851432 + 0.524465i \(0.824265\pi\)
\(660\) −2.83888 2.55613i −0.110503 0.0994974i
\(661\) −3.74188 9.74792i −0.145542 0.379150i 0.841359 0.540477i \(-0.181756\pi\)
−0.986901 + 0.161327i \(0.948423\pi\)
\(662\) 9.43468 29.0370i 0.366689 1.12855i
\(663\) 55.2276 + 5.59852i 2.14486 + 0.217429i
\(664\) 10.2864 14.1580i 0.399189 0.549437i
\(665\) 0.00825170 + 0.157452i 0.000319987 + 0.00610572i
\(666\) −10.2409 1.07637i −0.396828 0.0417083i
\(667\) −20.0543 45.0426i −0.776505 1.74406i
\(668\) −7.94813 + 15.5991i −0.307522 + 0.603547i
\(669\) 4.60562 11.9981i 0.178064 0.463872i
\(670\) −2.30292 + 2.84387i −0.0889694 + 0.109868i
\(671\) 8.41333 4.28680i 0.324793 0.165490i
\(672\) −1.06188 + 0.111608i −0.0409630 + 0.00430539i
\(673\) 2.65096 2.94419i 0.102187 0.113490i −0.689882 0.723922i \(-0.742337\pi\)
0.792069 + 0.610432i \(0.209004\pi\)
\(674\) −1.45400 27.7440i −0.0560061 1.06866i
\(675\) −1.82983 + 5.63163i −0.0704301 + 0.216762i
\(676\) −6.00902 + 13.7693i −0.231116 + 0.529589i
\(677\) 3.30816i 0.127143i −0.997977 0.0635715i \(-0.979751\pi\)
0.997977 0.0635715i \(-0.0202491\pi\)
\(678\) 15.5747 + 10.1143i 0.598141 + 0.388437i
\(679\) −0.117800 + 1.12079i −0.00452074 + 0.0430120i
\(680\) −3.00461 28.5869i −0.115221 1.09626i
\(681\) −31.7613 31.7613i −1.21710 1.21710i
\(682\) −1.36504 4.97471i −0.0522699 0.190492i
\(683\) 38.3836 10.2848i 1.46871 0.393539i 0.566219 0.824255i \(-0.308406\pi\)
0.902488 + 0.430716i \(0.141739\pi\)
\(684\) 2.99777 + 0.474801i 0.114623 + 0.0181545i
\(685\) −7.20112 16.1740i −0.275141 0.617976i
\(686\) 0.231046 + 1.08699i 0.00882137 + 0.0415013i
\(687\) −13.5654 + 50.6269i −0.517553 + 1.93153i
\(688\) 0.433165 0.0165142
\(689\) −44.0568 + 25.6536i −1.67843 + 0.977325i
\(690\) 5.67973 + 17.4804i 0.216224 + 0.665468i
\(691\) 1.01105 + 19.2920i 0.0384622 + 0.733902i 0.947998 + 0.318277i \(0.103104\pi\)
−0.909536 + 0.415626i \(0.863563\pi\)
\(692\) 5.89674 + 2.62540i 0.224160 + 0.0998027i
\(693\) −0.121972 0.135464i −0.00463333 0.00514583i
\(694\) −15.4842 2.45246i −0.587774 0.0930942i
\(695\) −2.64636 1.01584i −0.100382 0.0385331i
\(696\) −28.7980 44.3450i −1.09159 1.68089i
\(697\) −67.8127 + 10.7405i −2.56859 + 0.406825i
\(698\) 18.0734 8.04679i 0.684088 0.304576i
\(699\) 40.0765 44.5094i 1.51583 1.68350i
\(700\) −0.224263 + 0.181604i −0.00847634 + 0.00686400i
\(701\) 23.6970 + 32.6162i 0.895024 + 1.23190i 0.972028 + 0.234864i \(0.0754646\pi\)
−0.0770038 + 0.997031i \(0.524535\pi\)
\(702\) 6.55245 1.78168i 0.247306 0.0672454i
\(703\) −3.95398 5.44219i −0.149127 0.205256i
\(704\) −5.77681 + 0.302750i −0.217722 + 0.0114103i
\(705\) −12.6253 11.3679i −0.475497 0.428139i
\(706\) 8.64449 + 9.60068i 0.325340 + 0.361327i
\(707\) −0.177302 + 0.177302i −0.00666814 + 0.00666814i
\(708\) −25.4487 + 6.81895i −0.956420 + 0.256272i
\(709\) 5.19799 + 0.272415i 0.195214 + 0.0102308i 0.149693 0.988733i \(-0.452172\pi\)
0.0455219 + 0.998963i \(0.485505\pi\)
\(710\) −0.182628 1.15307i −0.00685392 0.0432739i
\(711\) 0.853731 0.0897307i 0.0320174 0.00336516i
\(712\) 13.5035 + 23.3888i 0.506066 + 0.876532i
\(713\) 8.59506 32.8653i 0.321888 1.23081i
\(714\) 1.22272i 0.0457593i
\(715\) 2.16614 + 4.81727i 0.0810090 + 0.180156i
\(716\) 1.90828 2.62652i 0.0713157 0.0981577i
\(717\) 21.4489 33.0285i 0.801025 1.23347i
\(718\) 5.58666 + 9.67638i 0.208492 + 0.361119i
\(719\) 8.49532 14.7143i 0.316822 0.548752i −0.663001 0.748618i \(-0.730718\pi\)
0.979823 + 0.199867i \(0.0640509\pi\)
\(720\) 0.487295 + 0.956369i 0.0181604 + 0.0356418i
\(721\) 0.772671 0.501778i 0.0287758 0.0186872i
\(722\) 8.71978 + 13.4273i 0.324517 + 0.499712i
\(723\) 27.2252 + 4.31204i 1.01252 + 0.160367i
\(724\) 1.85104 1.66669i 0.0687935 0.0619419i
\(725\) −21.3290 9.49630i −0.792141 0.352684i
\(726\) 13.0269 + 16.0869i 0.483475 + 0.597041i
\(727\) 5.40325 1.75562i 0.200395 0.0651124i −0.207100 0.978320i \(-0.566402\pi\)
0.407495 + 0.913207i \(0.366402\pi\)
\(728\) 0.860413 + 0.276056i 0.0318890 + 0.0102313i
\(729\) −7.22051 5.24601i −0.267426 0.194297i
\(730\) 2.86488 0.150142i 0.106034 0.00555701i
\(731\) 0.874672 8.32195i 0.0323509 0.307799i
\(732\) 24.2867 2.55264i 0.897664 0.0943483i
\(733\) −15.7955 31.0004i −0.583420 1.14503i −0.974441 0.224645i \(-0.927878\pi\)
0.391020 0.920382i \(-0.372122\pi\)
\(734\) −12.5406 + 15.4864i −0.462883 + 0.571613i
\(735\) −19.2259 + 12.4854i −0.709157 + 0.460532i
\(736\) −29.7628 15.1649i −1.09707 0.558985i
\(737\) 2.05389 1.84933i 0.0756559 0.0681209i
\(738\) 16.7499 9.67054i 0.616571 0.355978i
\(739\) 25.6596 + 6.87547i 0.943904 + 0.252918i 0.697774 0.716318i \(-0.254174\pi\)
0.246131 + 0.969237i \(0.420841\pi\)
\(740\) −2.77970 + 8.55503i −0.102184 + 0.314489i
\(741\) −8.58788 5.53205i −0.315484 0.203225i
\(742\) 0.660059 + 0.908493i 0.0242315 + 0.0333518i
\(743\) −11.4778 + 42.8357i −0.421079 + 1.57149i 0.351260 + 0.936278i \(0.385753\pi\)
−0.772339 + 0.635210i \(0.780914\pi\)
\(744\) 3.59040 36.2530i 0.131631 1.32910i
\(745\) 12.7061 + 7.33587i 0.465516 + 0.268766i
\(746\) −0.292752 + 1.84836i −0.0107184 + 0.0676734i
\(747\) 11.7854 + 4.52401i 0.431207 + 0.165525i
\(748\) −0.416089 + 7.93944i −0.0152137 + 0.290295i
\(749\) 1.01664 + 1.01664i 0.0371473 + 0.0371473i
\(750\) 20.5818 + 11.8829i 0.751542 + 0.433903i
\(751\) −7.27364 34.2198i −0.265419 1.24870i −0.885678 0.464301i \(-0.846306\pi\)
0.620258 0.784397i \(-0.287028\pi\)
\(752\) −1.82780 + 0.0957908i −0.0666529 + 0.00349313i
\(753\) −5.68392 + 1.84682i −0.207134 + 0.0673018i
\(754\) 4.28594 + 26.4283i 0.156085 + 0.962460i
\(755\) −22.9481 7.45629i −0.835167 0.271362i
\(756\) 0.0733622 + 0.191115i 0.00266816 + 0.00695079i
\(757\) 28.6115 + 3.00719i 1.03990 + 0.109298i 0.609056 0.793127i \(-0.291548\pi\)
0.430847 + 0.902425i \(0.358215\pi\)
\(758\) −5.55383 + 26.1287i −0.201724 + 0.949037i
\(759\) −2.17157 13.7108i −0.0788231 0.497669i
\(760\) −1.89567 + 4.93839i −0.0687632 + 0.179134i
\(761\) −6.70162 + 4.35208i −0.242933 + 0.157763i −0.660363 0.750946i \(-0.729598\pi\)
0.417430 + 0.908709i \(0.362931\pi\)
\(762\) 0.953506 + 6.02020i 0.0345419 + 0.218089i
\(763\) −0.0974228 0.926916i −0.00352694 0.0335566i
\(764\) −5.76196 27.1079i −0.208460 0.980728i
\(765\) 19.3577 7.43074i 0.699880 0.268659i
\(766\) 2.02845 + 6.24293i 0.0732909 + 0.225566i
\(767\) 36.0005 + 5.56570i 1.29990 + 0.200966i
\(768\) −35.8208 11.6389i −1.29257 0.419982i
\(769\) 6.86919 + 1.84059i 0.247709 + 0.0663735i 0.380537 0.924766i \(-0.375739\pi\)
−0.132828 + 0.991139i \(0.542406\pi\)
\(770\) 0.100756 0.0581715i 0.00363099 0.00209635i
\(771\) 28.2720 + 31.3992i 1.01819 + 1.13081i
\(772\) 5.39158 0.853943i 0.194047 0.0307341i
\(773\) 2.22931 2.75297i 0.0801827 0.0990174i −0.735476 0.677551i \(-0.763041\pi\)
0.815659 + 0.578533i \(0.196375\pi\)
\(774\) 0.610094 + 2.27690i 0.0219294 + 0.0818416i
\(775\) −7.38886 14.2887i −0.265416 0.513266i
\(776\) −18.9047 + 32.7439i −0.678640 + 1.17544i
\(777\) −0.424979 + 0.954519i −0.0152460 + 0.0342432i
\(778\) 11.1693 + 13.7929i 0.400437 + 0.494499i
\(779\) 12.0165 + 3.90440i 0.430536 + 0.139890i
\(780\) 0.765294 + 13.6387i 0.0274019 + 0.488345i
\(781\) 0.881723i 0.0315505i
\(782\) 20.8337 32.0811i 0.745013 1.14722i
\(783\) −11.0826 + 12.3084i −0.396059 + 0.439868i
\(784\) −0.513486 + 2.41576i −0.0183388 + 0.0862772i
\(785\) −0.370991 + 2.34235i −0.0132412 + 0.0836019i
\(786\) −0.791054 + 15.0942i −0.0282160 + 0.538392i
\(787\) 34.0287 + 27.5559i 1.21299 + 0.982263i 0.999986 + 0.00521190i \(0.00165901\pi\)
0.213007 + 0.977051i \(0.431674\pi\)
\(788\) −15.3257 + 2.42736i −0.545957 + 0.0864711i
\(789\) −35.9567 7.64283i −1.28009 0.272092i
\(790\) −0.0572706 + 0.544894i −0.00203760 + 0.0193864i
\(791\) 0.601583 0.487153i 0.0213898 0.0173212i
\(792\) −1.88982 5.81628i −0.0671520 0.206673i
\(793\) −32.1510 10.3154i −1.14172 0.366310i
\(794\) 12.6423 9.18519i 0.448659 0.325970i
\(795\) −25.2470 + 38.8770i −0.895419 + 1.37883i
\(796\) 3.81424 8.56692i 0.135192 0.303646i
\(797\) −49.3882 10.4978i −1.74942 0.371850i −0.781655 0.623711i \(-0.785624\pi\)
−0.967764 + 0.251860i \(0.918958\pi\)
\(798\) −0.102154 + 0.200489i −0.00361621 + 0.00709722i
\(799\) −1.85047 + 35.3090i −0.0654649 + 1.24914i
\(800\) −15.2786 + 4.09389i −0.540180 + 0.144741i
\(801\) −13.7756 + 13.7756i −0.486738 + 0.486738i
\(802\) 1.53814 1.38495i 0.0543135 0.0489041i
\(803\) −2.15483 0.226482i −0.0760424 0.00799238i
\(804\) 6.67302 2.56153i 0.235339 0.0903383i
\(805\) 0.766146 0.0270031
\(806\) −9.06793 + 16.0639i −0.319404 + 0.565826i
\(807\) −4.22332 −0.148668
\(808\) −7.85365 + 3.01473i −0.276290 + 0.106058i
\(809\) 35.3794 + 3.71853i 1.24387 + 0.130737i 0.703504 0.710691i \(-0.251617\pi\)
0.540370 + 0.841427i \(0.318284\pi\)
\(810\) 10.8140 9.73698i 0.379966 0.342123i
\(811\) 30.9352 30.9352i 1.08628 1.08628i 0.0903727 0.995908i \(-0.471194\pi\)
0.995908 0.0903727i \(-0.0288058\pi\)
\(812\) −0.779651 + 0.208907i −0.0273604 + 0.00733119i
\(813\) −1.57537 + 30.0599i −0.0552507 + 1.05425i
\(814\) −2.25351 + 4.42276i −0.0789855 + 0.155018i
\(815\) −27.9980 5.95116i −0.980727 0.208460i
\(816\) 2.21174 4.96764i 0.0774263 0.173902i
\(817\) −0.838688 + 1.29147i −0.0293420 + 0.0451827i
\(818\) 0.552613 0.401497i 0.0193217 0.0140380i
\(819\) −0.0317098 + 0.651056i −0.00110803 + 0.0227497i
\(820\) −5.22100 16.0686i −0.182325 0.561139i
\(821\) −4.91064 + 3.97656i −0.171383 + 0.138783i −0.711174 0.703016i \(-0.751836\pi\)
0.539792 + 0.841799i \(0.318503\pi\)
\(822\) 2.64111 25.1285i 0.0921194 0.876457i
\(823\) −28.7130 6.10313i −1.00087 0.212742i −0.321795 0.946809i \(-0.604286\pi\)
−0.679077 + 0.734067i \(0.737620\pi\)
\(824\) 30.5290 4.83533i 1.06353 0.168447i
\(825\) −5.10848 4.13677i −0.177855 0.144024i
\(826\) 0.0419941 0.801296i 0.00146116 0.0278807i
\(827\) 7.33433 46.3071i 0.255040 1.61026i −0.444579 0.895740i \(-0.646647\pi\)
0.699619 0.714517i \(-0.253353\pi\)
\(828\) 3.06638 14.4262i 0.106564 0.501345i
\(829\) 0.580163 0.644336i 0.0201499 0.0223787i −0.732986 0.680244i \(-0.761874\pi\)
0.753136 + 0.657865i \(0.228540\pi\)
\(830\) −4.38827 + 6.75735i −0.152319 + 0.234551i
\(831\) 33.8769i 1.17518i
\(832\) 15.4234 + 13.7845i 0.534709 + 0.477890i
\(833\) 45.3747 + 14.7431i 1.57214 + 0.510820i
\(834\) −2.54586 3.14388i −0.0881560 0.108864i
\(835\) 8.95233 20.1073i 0.309808 0.695840i
\(836\) 0.731537 1.26706i 0.0253007 0.0438221i
\(837\) −11.2600 + 1.85278i −0.389202 + 0.0640414i
\(838\) −2.21870 8.28030i −0.0766437 0.286038i
\(839\) 34.4989 42.6026i 1.19103 1.47080i 0.344241 0.938881i \(-0.388136\pi\)
0.846793 0.531923i \(-0.178530\pi\)
\(840\) 0.811506 0.128530i 0.0279996 0.00443470i
\(841\) −24.2924 26.9795i −0.837670 0.930326i
\(842\) −14.9914 + 8.65530i −0.516639 + 0.298281i
\(843\) 3.22257 + 0.863484i 0.110991 + 0.0297400i
\(844\) 25.5403 + 8.29854i 0.879133 + 0.285648i
\(845\) 6.63821 17.6824i 0.228361 0.608294i
\(846\) −3.07790 9.47279i −0.105820 0.325681i
\(847\) 0.805542 0.309219i 0.0276787 0.0106249i
\(848\) 1.03833 + 4.88495i 0.0356564 + 0.167750i
\(849\) 4.18080 + 39.7777i 0.143485 + 1.36517i
\(850\) −2.83360 17.8906i −0.0971916 0.613643i
\(851\) −27.4142 + 17.8030i −0.939747 + 0.610279i
\(852\) −0.817202 + 2.12888i −0.0279969 + 0.0729344i
\(853\) −7.84296 49.5185i −0.268538 1.69548i −0.641086 0.767469i \(-0.721516\pi\)
0.372549 0.928013i \(-0.378484\pi\)
\(854\) −0.154633 + 0.727489i −0.00529142 + 0.0248942i
\(855\) −3.79488 0.398858i −0.129782 0.0136406i
\(856\) 17.2863 + 45.0324i 0.590834 + 1.53918i
\(857\) −24.2977 7.89482i −0.829995 0.269682i −0.136952 0.990578i \(-0.543731\pi\)
−0.693043 + 0.720896i \(0.743731\pi\)
\(858\) −0.760240 + 7.49953i −0.0259542 + 0.256030i
\(859\) 43.6199 14.1730i 1.48829 0.483575i 0.551713 0.834034i \(-0.313975\pi\)
0.936578 + 0.350459i \(0.113975\pi\)
\(860\) 2.05634 0.107768i 0.0701207 0.00367487i
\(861\) −0.408027 1.91962i −0.0139055 0.0654203i
\(862\) −5.39740 3.11619i −0.183836 0.106138i
\(863\) −16.1294 16.1294i −0.549051 0.549051i 0.377115 0.926166i \(-0.376916\pi\)
−0.926166 + 0.377115i \(0.876916\pi\)
\(864\) −0.587257 + 11.2055i −0.0199789 + 0.381220i
\(865\) −7.57597 2.90814i −0.257591 0.0988798i
\(866\) 2.33024 14.7126i 0.0791849 0.499954i
\(867\) −57.7513 33.3428i −1.96134 1.13238i
\(868\) −0.509387 0.223138i −0.0172897 0.00757381i
\(869\) 0.107100 0.399703i 0.00363312 0.0135590i
\(870\) 14.3091 + 19.6948i 0.485125 + 0.667717i
\(871\) −9.87125 0.480781i −0.334475 0.0162906i
\(872\) 9.66271 29.7388i 0.327221 1.00708i
\(873\) −26.3447 7.05905i −0.891634 0.238913i
\(874\) −6.09634 + 3.51973i −0.206212 + 0.119056i
\(875\) 0.736195 0.662873i 0.0248879 0.0224092i
\(876\) −4.99284 2.54398i −0.168693 0.0859532i
\(877\) −3.85112 + 2.50095i −0.130043 + 0.0844510i −0.608021 0.793921i \(-0.708036\pi\)
0.477978 + 0.878372i \(0.341370\pi\)
\(878\) −4.55843 + 5.62920i −0.153840 + 0.189976i
\(879\) 18.8366 + 36.9689i 0.635343 + 1.24693i
\(880\) 0.514572 0.0540837i 0.0173462 0.00182316i
\(881\) −4.90833 + 46.6996i −0.165366 + 1.57335i 0.525771 + 0.850626i \(0.323777\pi\)
−0.691137 + 0.722724i \(0.742890\pi\)
\(882\) −13.4215 + 0.703392i −0.451926 + 0.0236845i
\(883\) 29.0466 + 21.1036i 0.977496 + 0.710193i 0.957148 0.289600i \(-0.0935224\pi\)
0.0203486 + 0.999793i \(0.493522\pi\)
\(884\) 21.0568 19.1009i 0.708218 0.642434i
\(885\) 31.5016 10.2355i 1.05891 0.344062i
\(886\) −11.3225 13.9822i −0.380388 0.469741i
\(887\) −28.7200 12.7870i −0.964324 0.429345i −0.136690 0.990614i \(-0.543647\pi\)
−0.827633 + 0.561269i \(0.810313\pi\)
\(888\) −26.0506 + 23.4561i −0.874201 + 0.787135i
\(889\) 0.250944 + 0.0397457i 0.00841640 + 0.00133303i
\(890\) −6.77215 10.4282i −0.227003 0.349554i
\(891\) −9.21725 + 5.98575i −0.308789 + 0.200530i
\(892\) −2.98812 5.86452i −0.100050 0.196359i
\(893\) 3.25336 5.63499i 0.108870 0.188568i
\(894\) 10.4693 + 18.1333i 0.350145 + 0.606469i
\(895\) −2.22298 + 3.42310i −0.0743062 + 0.114421i
\(896\) −0.288445 + 0.397011i −0.00963628 + 0.0132632i
\(897\) −29.0287 + 40.2665i −0.969241 + 1.34446i
\(898\) 25.2979i 0.844202i
\(899\) −2.62453 44.9171i −0.0875330 1.49807i
\(900\) −3.49192 6.04819i −0.116397 0.201606i
\(901\) 95.9463 10.0844i 3.19644 0.335959i
\(902\) −1.45848 9.20849i −0.0485621 0.306609i
\(903\) 0.238855 + 0.0125179i 0.00794859 + 0.000416568i
\(904\) 25.0858 6.72171i 0.834340 0.223561i
\(905\) −2.21428 + 2.21428i −0.0736052 + 0.0736052i
\(906\) −23.0418 25.5905i −0.765513 0.850189i
\(907\) 9.55927 + 8.60720i 0.317410 + 0.285798i 0.812399 0.583102i \(-0.198161\pi\)
−0.494989 + 0.868899i \(0.664828\pi\)
\(908\) −22.9726 + 1.20394i −0.762373 + 0.0399543i
\(909\) −3.56688 4.90939i −0.118306 0.162834i
\(910\) −0.402248 0.106191i −0.0133344 0.00352021i
\(911\) 2.46272 + 3.38965i 0.0815937 + 0.112304i 0.847863 0.530216i \(-0.177889\pi\)
−0.766269 + 0.642520i \(0.777889\pi\)
\(912\) −0.777684 + 0.629756i −0.0257517 + 0.0208533i
\(913\) 4.07185 4.52225i 0.134759 0.149665i
\(914\) 2.43960 1.08618i 0.0806948 0.0359276i
\(915\) −30.3235 + 4.80277i −1.00246 + 0.158775i
\(916\) 14.6197 + 22.5124i 0.483049 + 0.743830i
\(917\) 0.588198 + 0.225788i 0.0194240 + 0.00745618i
\(918\) −12.6915 2.01014i −0.418883 0.0663446i
\(919\) −6.39056 7.09743i −0.210805 0.234123i 0.628465 0.777838i \(-0.283684\pi\)
−0.839270 + 0.543715i \(0.817017\pi\)
\(920\) 23.4818 + 10.4548i 0.774173 + 0.344684i
\(921\) −1.58338 30.2128i −0.0521743 0.995545i
\(922\) 2.83510 + 8.72553i 0.0933690 + 0.287360i
\(923\) 2.22122 2.23768i 0.0731123 0.0736543i
\(924\) −0.227250 −0.00747599
\(925\) −4.00616 + 14.9512i −0.131722 + 0.491592i
\(926\) 0.717551 + 3.37581i 0.0235802 + 0.110936i
\(927\) 9.06894 + 20.3692i 0.297863 + 0.669011i
\(928\) −43.6980 6.92108i −1.43446 0.227196i
\(929\) −19.5102 + 5.22774i −0.640108 + 0.171516i −0.564252 0.825602i \(-0.690835\pi\)
−0.0758557 + 0.997119i \(0.524169\pi\)
\(930\) −0.777233 + 16.7547i −0.0254865 + 0.549409i
\(931\) −6.20831 6.20831i −0.203469 0.203469i
\(932\) −3.20631 30.5060i −0.105026 0.999258i
\(933\) −4.93783 + 46.9804i −0.161657 + 1.53807i
\(934\) 9.69581 + 6.29654i 0.317257 + 0.206029i
\(935\) 9.99517i 0.326877i
\(936\) −9.85615 + 19.5217i −0.322158 + 0.638086i
\(937\) 10.0592 30.9591i 0.328620 1.01139i −0.641159 0.767408i \(-0.721546\pi\)
0.969780 0.243982i \(-0.0784537\pi\)
\(938\) 0.0113930 + 0.217391i 0.000371995 + 0.00709808i
\(939\) −10.6807 + 11.8621i −0.348551 + 0.387105i
\(940\) −8.65318 + 0.909486i −0.282236 + 0.0296642i
\(941\) 36.0046 18.3452i 1.17371 0.598038i 0.245251 0.969460i \(-0.421130\pi\)
0.928464 + 0.371422i \(0.121130\pi\)
\(942\) −2.12994 + 2.63026i −0.0693973 + 0.0856986i
\(943\) 22.0024 57.3181i 0.716495 1.86653i
\(944\) 1.62005 3.17952i 0.0527280 0.103485i
\(945\) −0.104679 0.235114i −0.00340522 0.00764825i
\(946\) 1.13006 + 0.118774i 0.0367415 + 0.00386169i
\(947\) −0.493467 9.41592i −0.0160355 0.305976i −0.994859 0.101270i \(-0.967709\pi\)
0.978823 0.204706i \(-0.0656239\pi\)
\(948\) 0.629043 0.865804i 0.0204304 0.0281200i
\(949\) 4.89810 + 6.00318i 0.158999 + 0.194872i
\(950\) −1.03007 + 3.17024i −0.0334200 + 0.102856i
\(951\) −11.7909 30.7163i −0.382345 0.996043i
\(952\) −1.27074 1.14418i −0.0411850 0.0370832i
\(953\) 5.52836 + 1.17509i 0.179081 + 0.0380648i 0.296579 0.955008i \(-0.404154\pi\)
−0.117498 + 0.993073i \(0.537487\pi\)
\(954\) −24.2150 + 12.3382i −0.783990 + 0.399463i
\(955\) 9.01762 + 33.6542i 0.291803 + 1.08902i
\(956\) −5.22019 19.4820i −0.168833 0.630093i
\(957\) −8.34714 16.3822i −0.269825 0.529561i
\(958\) −21.5118 + 9.57766i −0.695014 + 0.309440i
\(959\) −0.962163 0.428383i −0.0310699 0.0138332i
\(960\) 18.1677 + 4.86802i 0.586360 + 0.157115i
\(961\) 17.9189 25.2965i 0.578028 0.816017i
\(962\) 16.8608 5.54734i 0.543614 0.178853i
\(963\) −28.1502 + 20.4523i −0.907126 + 0.659066i
\(964\) 10.9710 8.88414i 0.353352 0.286139i
\(965\) −6.71282 + 1.42685i −0.216093 + 0.0459321i
\(966\) 0.946908 + 0.546697i 0.0304663 + 0.0175897i
\(967\) 29.4968 + 29.4968i 0.948553 + 0.948553i 0.998740 0.0501869i \(-0.0159817\pi\)
−0.0501869 + 0.998740i \(0.515982\pi\)
\(968\) 28.9089 + 1.51505i 0.929166 + 0.0486955i
\(969\) 10.5285 + 16.2125i 0.338225 + 0.520821i
\(970\) 7.90293 15.5104i 0.253748 0.498008i
\(971\) 0.493576 + 4.69606i 0.0158396 + 0.150704i 0.999583 0.0288761i \(-0.00919284\pi\)
−0.983743 + 0.179580i \(0.942526\pi\)
\(972\) −20.8520 + 4.43223i −0.668829 + 0.142164i
\(973\) −0.157428 + 0.0604308i −0.00504690 + 0.00193732i
\(974\) −26.5475 19.2879i −0.850636 0.618023i
\(975\) 2.54333 + 23.3677i 0.0814518 + 0.748365i
\(976\) −1.94416 + 2.67591i −0.0622312 + 0.0856539i
\(977\) 29.5825 + 36.5314i 0.946428 + 1.16874i 0.985529 + 0.169506i \(0.0542174\pi\)
−0.0391007 + 0.999235i \(0.512449\pi\)
\(978\) −30.3572 27.3337i −0.970715 0.874036i
\(979\) 3.81968 + 8.57915i 0.122078 + 0.274191i
\(980\) −1.83662 + 11.5960i −0.0586688 + 0.370420i
\(981\) 22.5253 + 1.18050i 0.719178 + 0.0376905i
\(982\) −19.9188 16.1300i −0.635636 0.514728i
\(983\) 14.0317 + 7.14952i 0.447543 + 0.228034i 0.663211 0.748432i \(-0.269193\pi\)
−0.215669 + 0.976467i \(0.569193\pi\)
\(984\) 13.6892 64.4028i 0.436397 2.05309i
\(985\) 19.0814 4.05588i 0.607984 0.129231i
\(986\) 13.1130 48.9385i 0.417604 1.55852i
\(987\) −1.01065 −0.0321693
\(988\) −5.04848 + 1.37274i −0.160614 + 0.0436727i
\(989\) 6.05365 + 4.39824i 0.192495 + 0.139856i
\(990\) 1.00904 + 2.62864i 0.0320695 + 0.0835438i
\(991\) 4.73814 2.73557i 0.150512 0.0868982i −0.422853 0.906198i \(-0.638971\pi\)
0.573365 + 0.819300i \(0.305638\pi\)
\(992\) −20.5324 22.5300i −0.651905 0.715330i
\(993\) 53.0150 53.0150i 1.68238 1.68238i
\(994\) −0.0539722 0.0437058i −0.00171189 0.00138626i
\(995\) −4.22501 + 11.0065i −0.133942 + 0.348931i
\(996\) 14.0227 7.14490i 0.444325 0.226395i
\(997\) 3.70049 6.40944i 0.117196 0.202989i −0.801460 0.598049i \(-0.795943\pi\)
0.918655 + 0.395060i \(0.129276\pi\)
\(998\) −15.2954 26.4924i −0.484166 0.838601i
\(999\) 9.20899 + 5.98039i 0.291359 + 0.189211i
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 403.2.cb.a.15.14 576
13.7 odd 12 inner 403.2.cb.a.46.14 yes 576
31.29 odd 10 inner 403.2.cb.a.184.14 yes 576
403.215 even 60 inner 403.2.cb.a.215.14 yes 576
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
403.2.cb.a.15.14 576 1.1 even 1 trivial
403.2.cb.a.46.14 yes 576 13.7 odd 12 inner
403.2.cb.a.184.14 yes 576 31.29 odd 10 inner
403.2.cb.a.215.14 yes 576 403.215 even 60 inner