Properties

Label 450.2.w.a.23.8
Level $450$
Weight $2$
Character 450.23
Analytic conductor $3.593$
Analytic rank $0$
Dimension $480$
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] = [450,2,Mod(23,450)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(450, base_ring=CyclotomicField(60))
 
chi = DirichletCharacter(H, H._module([50, 33]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("450.23");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 450 = 2 \cdot 3^{2} \cdot 5^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 450.w (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: \(3.59326809096\)
Analytic rank: \(0\)
Dimension: \(480\)
Relative dimension: \(30\) over \(\Q(\zeta_{60})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{60}]$

Embedding invariants

Embedding label 23.8
Character \(\chi\) \(=\) 450.23
Dual form 450.2.w.a.137.8

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-0.358368 - 0.933580i) q^{2} +(0.0371786 - 1.73165i) q^{3} +(-0.743145 + 0.669131i) q^{4} +(1.91306 - 1.15766i) q^{5} +(-1.62996 + 0.585859i) q^{6} +(-2.33480 - 0.625609i) q^{7} +(0.891007 + 0.453990i) q^{8} +(-2.99724 - 0.128761i) q^{9} +O(q^{10})\) \(q+(-0.358368 - 0.933580i) q^{2} +(0.0371786 - 1.73165i) q^{3} +(-0.743145 + 0.669131i) q^{4} +(1.91306 - 1.15766i) q^{5} +(-1.62996 + 0.585859i) q^{6} +(-2.33480 - 0.625609i) q^{7} +(0.891007 + 0.453990i) q^{8} +(-2.99724 - 0.128761i) q^{9} +(-1.76635 - 1.37113i) q^{10} +(-0.173372 + 0.389400i) q^{11} +(1.13107 + 1.31175i) q^{12} +(-5.85826 - 2.24877i) q^{13} +(0.252663 + 2.40393i) q^{14} +(-1.93354 - 3.35580i) q^{15} +(0.104528 - 0.994522i) q^{16} +(-0.266469 + 0.522975i) q^{17} +(0.953905 + 2.84430i) q^{18} +(7.57112 - 2.46001i) q^{19} +(-0.647056 + 2.14040i) q^{20} +(-1.17014 + 4.01981i) q^{21} +(0.425667 + 0.0223083i) q^{22} +(-5.48055 - 4.43806i) q^{23} +(0.819280 - 1.52603i) q^{24} +(2.31963 - 4.42937i) q^{25} +6.27504i q^{26} +(-0.334402 + 5.18538i) q^{27} +(2.15371 - 1.09737i) q^{28} +(-6.09226 + 1.29495i) q^{29} +(-2.43999 + 3.00773i) q^{30} +(6.73665 + 1.43192i) q^{31} +(-0.965926 + 0.258819i) q^{32} +(0.667859 + 0.314697i) q^{33} +(0.583733 + 0.0613528i) q^{34} +(-5.19088 + 1.50609i) q^{35} +(2.31354 - 1.90985i) q^{36} +(-3.34735 + 0.530168i) q^{37} +(-5.00986 - 6.18666i) q^{38} +(-4.11190 + 10.0609i) q^{39} +(2.23012 - 0.162972i) q^{40} +(0.272689 + 0.612470i) q^{41} +(4.17216 - 0.348149i) q^{42} +(1.20495 - 4.49693i) q^{43} +(-0.131719 - 0.405389i) q^{44} +(-5.88297 + 3.22346i) q^{45} +(-2.17923 + 6.70699i) q^{46} +(8.87817 + 5.76555i) q^{47} +(-1.71828 - 0.217982i) q^{48} +(-1.00225 - 0.578650i) q^{49} +(-4.96645 - 0.578220i) q^{50} +(0.895704 + 0.480875i) q^{51} +(5.85826 - 2.24877i) q^{52} +(0.568162 + 1.11508i) q^{53} +(4.96081 - 1.54608i) q^{54} +(0.119122 + 0.945654i) q^{55} +(-1.79631 - 1.61740i) q^{56} +(-3.97839 - 13.2020i) q^{57} +(3.39221 + 5.22354i) q^{58} +(1.98302 - 0.882899i) q^{59} +(3.68237 + 1.20005i) q^{60} +(-2.82994 - 1.25997i) q^{61} +(-1.07739 - 6.80236i) q^{62} +(6.91741 + 2.17573i) q^{63} +(0.587785 + 0.809017i) q^{64} +(-13.8106 + 2.47984i) q^{65} +(0.0544559 - 0.736278i) q^{66} +(3.94980 - 2.56503i) q^{67} +(-0.151913 - 0.566949i) q^{68} +(-7.88894 + 9.32540i) q^{69} +(3.26630 + 4.30637i) q^{70} +(6.97675 + 2.26688i) q^{71} +(-2.61210 - 1.47544i) q^{72} +(8.55347 + 1.35474i) q^{73} +(1.69454 + 2.93503i) q^{74} +(-7.58388 - 4.18147i) q^{75} +(-3.98037 + 6.89421i) q^{76} +(0.648402 - 0.800710i) q^{77} +(10.8662 + 0.233297i) q^{78} +(-3.66402 - 17.2379i) q^{79} +(-0.951352 - 2.02359i) q^{80} +(8.96684 + 0.771852i) q^{81} +(0.474067 - 0.474067i) q^{82} +(-0.844235 - 16.1090i) q^{83} +(-1.82019 - 3.77028i) q^{84} +(0.0956563 + 1.30897i) q^{85} +(-4.63006 + 0.486639i) q^{86} +(2.01590 + 10.5978i) q^{87} +(-0.331260 + 0.268249i) q^{88} +(3.44012 - 2.49940i) q^{89} +(5.11763 + 4.33704i) q^{90} +(12.2710 + 8.91543i) q^{91} +(7.04249 - 0.369081i) q^{92} +(2.73004 - 11.6123i) q^{93} +(2.20095 - 10.3547i) q^{94} +(11.6362 - 13.4710i) q^{95} +(0.412273 + 1.68227i) q^{96} +(6.86242 - 10.5672i) q^{97} +(-0.181041 + 1.14305i) q^{98} +(0.569776 - 1.14480i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 480 q - 4 q^{3}+O(q^{10}) \) Copy content Toggle raw display \( 480 q - 4 q^{3} + 4 q^{12} + 8 q^{15} - 60 q^{16} + 8 q^{18} + 12 q^{20} + 24 q^{23} - 48 q^{25} + 8 q^{27} + 24 q^{30} - 16 q^{33} + 24 q^{37} - 36 q^{38} + 40 q^{39} - 44 q^{42} + 12 q^{45} - 48 q^{47} - 8 q^{48} - 48 q^{50} + 24 q^{55} + 28 q^{57} - 12 q^{58} - 60 q^{59} - 24 q^{60} + 20 q^{63} + 24 q^{65} + 12 q^{67} - 144 q^{68} - 140 q^{69} + 16 q^{72} - 168 q^{75} - 432 q^{77} - 76 q^{78} + 40 q^{81} + 48 q^{82} - 60 q^{83} - 60 q^{84} + 24 q^{85} - 44 q^{87} - 52 q^{90} + 24 q^{92} - 72 q^{93} - 60 q^{95} + 36 q^{97}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/450\mathbb{Z}\right)^\times\).

\(n\) \(101\) \(127\)
\(\chi(n)\) \(e\left(\frac{5}{6}\right)\) \(e\left(\frac{11}{20}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.358368 0.933580i −0.253404 0.660141i
\(3\) 0.0371786 1.73165i 0.0214651 0.999770i
\(4\) −0.743145 + 0.669131i −0.371572 + 0.334565i
\(5\) 1.91306 1.15766i 0.855549 0.517723i
\(6\) −1.62996 + 0.585859i −0.665428 + 0.239176i
\(7\) −2.33480 0.625609i −0.882473 0.236458i −0.210999 0.977486i \(-0.567672\pi\)
−0.671474 + 0.741028i \(0.734338\pi\)
\(8\) 0.891007 + 0.453990i 0.315018 + 0.160510i
\(9\) −2.99724 0.128761i −0.999079 0.0429202i
\(10\) −1.76635 1.37113i −0.558570 0.433589i
\(11\) −0.173372 + 0.389400i −0.0522736 + 0.117409i −0.937794 0.347192i \(-0.887135\pi\)
0.885521 + 0.464600i \(0.153802\pi\)
\(12\) 1.13107 + 1.31175i 0.326512 + 0.378668i
\(13\) −5.85826 2.24877i −1.62479 0.623698i −0.635822 0.771836i \(-0.719339\pi\)
−0.988967 + 0.148138i \(0.952672\pi\)
\(14\) 0.252663 + 2.40393i 0.0675270 + 0.642476i
\(15\) −1.93354 3.35580i −0.499239 0.866464i
\(16\) 0.104528 0.994522i 0.0261321 0.248630i
\(17\) −0.266469 + 0.522975i −0.0646282 + 0.126840i −0.921061 0.389419i \(-0.872676\pi\)
0.856432 + 0.516259i \(0.172676\pi\)
\(18\) 0.953905 + 2.84430i 0.224837 + 0.670409i
\(19\) 7.57112 2.46001i 1.73693 0.564364i 0.742511 0.669834i \(-0.233635\pi\)
0.994423 + 0.105470i \(0.0336345\pi\)
\(20\) −0.647056 + 2.14040i −0.144686 + 0.478608i
\(21\) −1.17014 + 4.01981i −0.255346 + 0.877194i
\(22\) 0.425667 + 0.0223083i 0.0907525 + 0.00475614i
\(23\) −5.48055 4.43806i −1.14277 0.925400i −0.144828 0.989457i \(-0.546263\pi\)
−0.997946 + 0.0640569i \(0.979596\pi\)
\(24\) 0.819280 1.52603i 0.167235 0.311500i
\(25\) 2.31963 4.42937i 0.463927 0.885874i
\(26\) 6.27504i 1.23064i
\(27\) −0.334402 + 5.18538i −0.0643556 + 0.997927i
\(28\) 2.15371 1.09737i 0.407013 0.207384i
\(29\) −6.09226 + 1.29495i −1.13130 + 0.240466i −0.735273 0.677771i \(-0.762946\pi\)
−0.396031 + 0.918237i \(0.629613\pi\)
\(30\) −2.43999 + 3.00773i −0.445479 + 0.549134i
\(31\) 6.73665 + 1.43192i 1.20994 + 0.257180i 0.768345 0.640035i \(-0.221080\pi\)
0.441593 + 0.897216i \(0.354414\pi\)
\(32\) −0.965926 + 0.258819i −0.170753 + 0.0457532i
\(33\) 0.667859 + 0.314697i 0.116259 + 0.0547818i
\(34\) 0.583733 + 0.0613528i 0.100109 + 0.0105219i
\(35\) −5.19088 + 1.50609i −0.877418 + 0.254575i
\(36\) 2.31354 1.90985i 0.385590 0.318309i
\(37\) −3.34735 + 0.530168i −0.550301 + 0.0871591i −0.425392 0.905009i \(-0.639864\pi\)
−0.124909 + 0.992168i \(0.539864\pi\)
\(38\) −5.00986 6.18666i −0.812707 1.00361i
\(39\) −4.11190 + 10.0609i −0.658430 + 1.61103i
\(40\) 2.23012 0.162972i 0.352613 0.0257682i
\(41\) 0.272689 + 0.612470i 0.0425869 + 0.0956518i 0.933586 0.358353i \(-0.116662\pi\)
−0.890999 + 0.454005i \(0.849995\pi\)
\(42\) 4.17216 0.348149i 0.643778 0.0537206i
\(43\) 1.20495 4.49693i 0.183753 0.685776i −0.811141 0.584851i \(-0.801153\pi\)
0.994894 0.100925i \(-0.0321803\pi\)
\(44\) −0.131719 0.405389i −0.0198574 0.0611147i
\(45\) −5.88297 + 3.22346i −0.876981 + 0.480525i
\(46\) −2.17923 + 6.70699i −0.321311 + 0.988892i
\(47\) 8.87817 + 5.76555i 1.29501 + 0.840992i 0.993650 0.112517i \(-0.0358912\pi\)
0.301365 + 0.953509i \(0.402558\pi\)
\(48\) −1.71828 0.217982i −0.248012 0.0314630i
\(49\) −1.00225 0.578650i −0.143179 0.0826642i
\(50\) −4.96645 0.578220i −0.702363 0.0817726i
\(51\) 0.895704 + 0.480875i 0.125424 + 0.0673360i
\(52\) 5.85826 2.24877i 0.812394 0.311849i
\(53\) 0.568162 + 1.11508i 0.0780431 + 0.153168i 0.926731 0.375726i \(-0.122607\pi\)
−0.848688 + 0.528894i \(0.822607\pi\)
\(54\) 4.96081 1.54608i 0.675081 0.210395i
\(55\) 0.119122 + 0.945654i 0.0160624 + 0.127512i
\(56\) −1.79631 1.61740i −0.240041 0.216134i
\(57\) −3.97839 13.2020i −0.526951 1.74865i
\(58\) 3.39221 + 5.22354i 0.445419 + 0.685885i
\(59\) 1.98302 0.882899i 0.258168 0.114944i −0.273572 0.961852i \(-0.588205\pi\)
0.531740 + 0.846908i \(0.321538\pi\)
\(60\) 3.68237 + 1.20005i 0.475392 + 0.154926i
\(61\) −2.82994 1.25997i −0.362337 0.161323i 0.217490 0.976063i \(-0.430213\pi\)
−0.579827 + 0.814740i \(0.696880\pi\)
\(62\) −1.07739 6.80236i −0.136828 0.863900i
\(63\) 6.91741 + 2.17573i 0.871511 + 0.274116i
\(64\) 0.587785 + 0.809017i 0.0734732 + 0.101127i
\(65\) −13.8106 + 2.47984i −1.71299 + 0.307586i
\(66\) 0.0544559 0.736278i 0.00670305 0.0906295i
\(67\) 3.94980 2.56503i 0.482545 0.313368i −0.280342 0.959900i \(-0.590448\pi\)
0.762887 + 0.646532i \(0.223781\pi\)
\(68\) −0.151913 0.566949i −0.0184222 0.0687526i
\(69\) −7.88894 + 9.32540i −0.949716 + 1.12265i
\(70\) 3.26630 + 4.30637i 0.390397 + 0.514709i
\(71\) 6.97675 + 2.26688i 0.827987 + 0.269029i 0.692197 0.721708i \(-0.256643\pi\)
0.135790 + 0.990738i \(0.456643\pi\)
\(72\) −2.61210 1.47544i −0.307839 0.173883i
\(73\) 8.55347 + 1.35474i 1.00111 + 0.158560i 0.635411 0.772174i \(-0.280831\pi\)
0.365697 + 0.930734i \(0.380831\pi\)
\(74\) 1.69454 + 2.93503i 0.196986 + 0.341190i
\(75\) −7.58388 4.18147i −0.875711 0.482835i
\(76\) −3.98037 + 6.89421i −0.456580 + 0.790820i
\(77\) 0.648402 0.800710i 0.0738923 0.0912494i
\(78\) 10.8662 + 0.233297i 1.23035 + 0.0264157i
\(79\) −3.66402 17.2379i −0.412235 1.93941i −0.334351 0.942449i \(-0.608517\pi\)
−0.0778834 0.996962i \(-0.524816\pi\)
\(80\) −0.951352 2.02359i −0.106364 0.226245i
\(81\) 8.96684 + 0.771852i 0.996316 + 0.0857614i
\(82\) 0.474067 0.474067i 0.0523520 0.0523520i
\(83\) −0.844235 16.1090i −0.0926668 1.76819i −0.510703 0.859757i \(-0.670615\pi\)
0.418036 0.908430i \(-0.362719\pi\)
\(84\) −1.82019 3.77028i −0.198599 0.411371i
\(85\) 0.0956563 + 1.30897i 0.0103754 + 0.141977i
\(86\) −4.63006 + 0.486639i −0.499273 + 0.0524757i
\(87\) 2.01590 + 10.5978i 0.216127 + 1.13620i
\(88\) −0.331260 + 0.268249i −0.0353124 + 0.0285954i
\(89\) 3.44012 2.49940i 0.364652 0.264936i −0.390338 0.920672i \(-0.627642\pi\)
0.754990 + 0.655736i \(0.227642\pi\)
\(90\) 5.11763 + 4.33704i 0.539445 + 0.457164i
\(91\) 12.2710 + 8.91543i 1.28635 + 0.934591i
\(92\) 7.04249 0.369081i 0.734230 0.0384794i
\(93\) 2.73004 11.6123i 0.283092 1.20414i
\(94\) 2.20095 10.3547i 0.227011 1.06800i
\(95\) 11.6362 13.4710i 1.19385 1.38209i
\(96\) 0.412273 + 1.68227i 0.0420774 + 0.171696i
\(97\) 6.86242 10.5672i 0.696773 1.07294i −0.296261 0.955107i \(-0.595740\pi\)
0.993034 0.117829i \(-0.0375936\pi\)
\(98\) −0.181041 + 1.14305i −0.0182880 + 0.115466i
\(99\) 0.569776 1.14480i 0.0572647 0.115057i
\(100\) 1.24000 + 4.84380i 0.124000 + 0.484380i
\(101\) −10.6438 + 6.14517i −1.05909 + 0.611468i −0.925181 0.379526i \(-0.876087\pi\)
−0.133912 + 0.990993i \(0.542754\pi\)
\(102\) 0.127944 1.00854i 0.0126684 0.0998605i
\(103\) 0.256924 4.90241i 0.0253155 0.483048i −0.956325 0.292306i \(-0.905577\pi\)
0.981640 0.190742i \(-0.0610894\pi\)
\(104\) −4.19882 4.66327i −0.411729 0.457271i
\(105\) 2.41503 + 9.04479i 0.235683 + 0.882681i
\(106\) 0.837407 0.930035i 0.0813362 0.0903330i
\(107\) 4.83336 + 4.83336i 0.467259 + 0.467259i 0.901025 0.433767i \(-0.142816\pi\)
−0.433767 + 0.901025i \(0.642816\pi\)
\(108\) −3.22119 4.07725i −0.309959 0.392333i
\(109\) 7.60500 10.4674i 0.728427 1.00259i −0.270775 0.962643i \(-0.587280\pi\)
0.999202 0.0399508i \(-0.0127201\pi\)
\(110\) 0.840154 0.450102i 0.0801056 0.0429155i
\(111\) 0.793617 + 5.81616i 0.0753268 + 0.552045i
\(112\) −0.866236 + 2.25662i −0.0818516 + 0.213231i
\(113\) −5.65691 + 14.7368i −0.532158 + 1.38632i 0.359304 + 0.933221i \(0.383014\pi\)
−0.891461 + 0.453097i \(0.850319\pi\)
\(114\) −10.8994 + 8.44532i −1.02082 + 0.790977i
\(115\) −15.6224 2.14567i −1.45680 0.200085i
\(116\) 3.66094 5.03885i 0.339910 0.467846i
\(117\) 17.2690 + 7.49442i 1.59652 + 0.692860i
\(118\) −1.53491 1.53491i −0.141300 0.141300i
\(119\) 0.949331 1.05434i 0.0870251 0.0966511i
\(120\) −0.199298 3.86785i −0.0181934 0.353085i
\(121\) 7.23886 + 8.03957i 0.658078 + 0.730870i
\(122\) −0.162124 + 3.09351i −0.0146780 + 0.280073i
\(123\) 1.07072 0.449432i 0.0965439 0.0405239i
\(124\) −5.96445 + 3.44357i −0.535623 + 0.309242i
\(125\) −0.690109 11.1590i −0.0617252 0.998093i
\(126\) −0.447759 7.23767i −0.0398895 0.644783i
\(127\) 1.34503 8.49219i 0.119352 0.753560i −0.853322 0.521385i \(-0.825416\pi\)
0.972674 0.232175i \(-0.0745843\pi\)
\(128\) 0.544639 0.838671i 0.0481397 0.0741287i
\(129\) −7.74232 2.25374i −0.681674 0.198431i
\(130\) 7.26439 + 12.0046i 0.637129 + 1.05287i
\(131\) 0.998664 4.69834i 0.0872537 0.410496i −0.912744 0.408531i \(-0.866041\pi\)
0.999998 0.00196514i \(-0.000625523\pi\)
\(132\) −0.706890 + 0.213019i −0.0615269 + 0.0185410i
\(133\) −19.2161 + 1.00707i −1.66625 + 0.0873243i
\(134\) −3.81014 2.76823i −0.329146 0.239139i
\(135\) 5.36319 + 10.3071i 0.461590 + 0.887093i
\(136\) −0.474851 + 0.345000i −0.0407182 + 0.0295835i
\(137\) −2.61859 + 2.12050i −0.223722 + 0.181166i −0.734628 0.678470i \(-0.762643\pi\)
0.510906 + 0.859636i \(0.329310\pi\)
\(138\) 11.5332 + 4.02303i 0.981768 + 0.342463i
\(139\) −7.97178 + 0.837868i −0.676158 + 0.0710670i −0.436382 0.899761i \(-0.643740\pi\)
−0.239775 + 0.970828i \(0.577074\pi\)
\(140\) 2.84980 4.59262i 0.240852 0.388147i
\(141\) 10.3140 15.1595i 0.868596 1.27666i
\(142\) −0.383925 7.32573i −0.0322183 0.614762i
\(143\) 1.89133 1.89133i 0.158161 0.158161i
\(144\) −0.441352 + 2.96736i −0.0367793 + 0.247280i
\(145\) −10.1558 + 9.53010i −0.843391 + 0.791432i
\(146\) −1.80053 8.47085i −0.149013 0.701053i
\(147\) −1.03928 + 1.71404i −0.0857185 + 0.141371i
\(148\) 2.13281 2.63381i 0.175316 0.216498i
\(149\) 2.02710 3.51104i 0.166067 0.287636i −0.770967 0.636875i \(-0.780227\pi\)
0.937034 + 0.349239i \(0.113560\pi\)
\(150\) −1.18592 + 8.57867i −0.0968301 + 0.700446i
\(151\) −0.203563 0.352582i −0.0165657 0.0286927i 0.857624 0.514278i \(-0.171940\pi\)
−0.874189 + 0.485585i \(0.838607\pi\)
\(152\) 7.86274 + 1.24533i 0.637752 + 0.101010i
\(153\) 0.866009 1.53317i 0.0700127 0.123949i
\(154\) −0.979894 0.318387i −0.0789621 0.0256563i
\(155\) 14.5453 5.05942i 1.16831 0.406382i
\(156\) −3.67629 10.2281i −0.294339 0.818901i
\(157\) −0.000329741 0.00123061i −2.63162e−5 9.82134e-5i 0.965913 0.258868i \(-0.0833495\pi\)
−0.965939 + 0.258770i \(0.916683\pi\)
\(158\) −14.7799 + 9.59816i −1.17582 + 0.763588i
\(159\) 1.95206 0.942402i 0.154808 0.0747374i
\(160\) −1.54825 + 1.61335i −0.122400 + 0.127547i
\(161\) 10.0195 + 13.7907i 0.789649 + 1.08686i
\(162\) −2.49284 8.64787i −0.195856 0.679441i
\(163\) 0.435144 + 2.74739i 0.0340831 + 0.215193i 0.998852 0.0479072i \(-0.0152552\pi\)
−0.964769 + 0.263100i \(0.915255\pi\)
\(164\) −0.612470 0.272689i −0.0478259 0.0212935i
\(165\) 1.64197 0.171120i 0.127827 0.0133217i
\(166\) −14.7365 + 6.56109i −1.14377 + 0.509240i
\(167\) 13.2322 + 20.3758i 1.02394 + 1.57673i 0.798067 + 0.602569i \(0.205856\pi\)
0.225871 + 0.974157i \(0.427477\pi\)
\(168\) −2.86756 + 3.05044i −0.221237 + 0.235347i
\(169\) 19.6013 + 17.6491i 1.50779 + 1.35762i
\(170\) 1.18775 0.558394i 0.0910959 0.0428269i
\(171\) −23.0092 + 6.39835i −1.75956 + 0.489294i
\(172\) 2.11358 + 4.14814i 0.161159 + 0.316293i
\(173\) 8.11813 3.11626i 0.617210 0.236925i −0.0296170 0.999561i \(-0.509429\pi\)
0.646827 + 0.762636i \(0.276095\pi\)
\(174\) 9.17148 5.67992i 0.695288 0.430594i
\(175\) −8.18694 + 8.89053i −0.618875 + 0.672061i
\(176\) 0.369145 + 0.213126i 0.0278253 + 0.0160650i
\(177\) −1.45515 3.46673i −0.109376 0.260576i
\(178\) −3.56622 2.31593i −0.267299 0.173586i
\(179\) −6.33348 + 19.4925i −0.473387 + 1.45693i 0.374735 + 0.927132i \(0.377734\pi\)
−0.848121 + 0.529802i \(0.822266\pi\)
\(180\) 2.21498 6.33197i 0.165095 0.471957i
\(181\) −1.84582 5.68085i −0.137199 0.422254i 0.858727 0.512434i \(-0.171256\pi\)
−0.995926 + 0.0901795i \(0.971256\pi\)
\(182\) 3.92572 14.6510i 0.290994 1.08600i
\(183\) −2.28705 + 4.85363i −0.169063 + 0.358791i
\(184\) −2.86837 6.44246i −0.211459 0.474944i
\(185\) −5.78994 + 4.88935i −0.425685 + 0.359472i
\(186\) −11.8194 + 1.61276i −0.866638 + 0.118253i
\(187\) −0.157448 0.194432i −0.0115138 0.0142183i
\(188\) −10.4557 + 1.65602i −0.762559 + 0.120777i
\(189\) 4.02478 11.8976i 0.292760 0.865427i
\(190\) −16.7463 6.03575i −1.21490 0.437880i
\(191\) −12.6105 1.32542i −0.912466 0.0959041i −0.363353 0.931652i \(-0.618368\pi\)
−0.549114 + 0.835748i \(0.685035\pi\)
\(192\) 1.42279 0.987761i 0.102681 0.0712855i
\(193\) 6.19830 1.66083i 0.446163 0.119549i −0.0287404 0.999587i \(-0.509150\pi\)
0.474904 + 0.880038i \(0.342483\pi\)
\(194\) −12.3246 2.61967i −0.884855 0.188082i
\(195\) 3.78076 + 24.0073i 0.270746 + 1.71920i
\(196\) 1.13201 0.240616i 0.0808578 0.0171869i
\(197\) 1.87043 0.953031i 0.133262 0.0679006i −0.386088 0.922462i \(-0.626174\pi\)
0.519351 + 0.854561i \(0.326174\pi\)
\(198\) −1.27295 0.121672i −0.0904648 0.00864688i
\(199\) 2.68228i 0.190142i −0.995471 0.0950709i \(-0.969692\pi\)
0.995471 0.0950709i \(-0.0303078\pi\)
\(200\) 4.07770 2.89350i 0.288337 0.204602i
\(201\) −4.29489 6.93504i −0.302938 0.489160i
\(202\) 9.55139 + 7.73457i 0.672034 + 0.544202i
\(203\) 15.0344 + 0.787918i 1.05521 + 0.0553010i
\(204\) −0.987406 + 0.241983i −0.0691322 + 0.0169422i
\(205\) 1.23071 + 0.856013i 0.0859563 + 0.0597865i
\(206\) −4.66886 + 1.51701i −0.325295 + 0.105695i
\(207\) 15.8551 + 14.0076i 1.10200 + 0.973595i
\(208\) −2.84881 + 5.59111i −0.197529 + 0.387673i
\(209\) −0.354694 + 3.37469i −0.0245347 + 0.233432i
\(210\) 7.57857 5.49598i 0.522971 0.379259i
\(211\) −1.54533 14.7028i −0.106385 1.01218i −0.909314 0.416110i \(-0.863393\pi\)
0.802929 0.596074i \(-0.203274\pi\)
\(212\) −1.16836 0.448492i −0.0802434 0.0308026i
\(213\) 4.18484 11.9970i 0.286740 0.822022i
\(214\) 2.78021 6.24445i 0.190051 0.426862i
\(215\) −2.90079 9.99785i −0.197832 0.681848i
\(216\) −2.65207 + 4.46839i −0.180450 + 0.304036i
\(217\) −14.8329 7.55776i −1.00693 0.513054i
\(218\) −12.4975 3.34870i −0.846440 0.226803i
\(219\) 2.66394 14.7613i 0.180012 0.997474i
\(220\) −0.721291 0.623049i −0.0486294 0.0420060i
\(221\) 2.73710 2.46449i 0.184117 0.165780i
\(222\) 5.14544 2.82523i 0.345339 0.189617i
\(223\) 6.18138 + 16.1031i 0.413936 + 1.07834i 0.969115 + 0.246609i \(0.0793165\pi\)
−0.555179 + 0.831731i \(0.687350\pi\)
\(224\) 2.41717 0.161504
\(225\) −7.52281 + 12.9772i −0.501521 + 0.865146i
\(226\) 15.7852 1.05002
\(227\) 2.28867 + 5.96218i 0.151904 + 0.395724i 0.988324 0.152365i \(-0.0486890\pi\)
−0.836420 + 0.548089i \(0.815356\pi\)
\(228\) 11.7904 + 7.14894i 0.780837 + 0.473450i
\(229\) −19.0949 + 17.1931i −1.26183 + 1.13615i −0.277324 + 0.960776i \(0.589448\pi\)
−0.984501 + 0.175377i \(0.943886\pi\)
\(230\) 3.59542 + 15.3537i 0.237075 + 1.01240i
\(231\) −1.36244 1.15258i −0.0896422 0.0758339i
\(232\) −6.01614 1.61202i −0.394979 0.105834i
\(233\) −19.3334 9.85086i −1.26657 0.645351i −0.313931 0.949446i \(-0.601646\pi\)
−0.952642 + 0.304095i \(0.901646\pi\)
\(234\) 0.807979 18.8078i 0.0528193 1.22950i
\(235\) 23.6591 + 0.751943i 1.54335 + 0.0490513i
\(236\) −0.882899 + 1.98302i −0.0574719 + 0.129084i
\(237\) −29.9862 + 5.70393i −1.94781 + 0.370510i
\(238\) −1.32452 0.508436i −0.0858559 0.0329570i
\(239\) −0.505475 4.80927i −0.0326964 0.311086i −0.998631 0.0523007i \(-0.983345\pi\)
0.965935 0.258785i \(-0.0833221\pi\)
\(240\) −3.53953 + 1.57218i −0.228476 + 0.101483i
\(241\) −0.216914 + 2.06379i −0.0139726 + 0.132941i −0.999284 0.0378244i \(-0.987957\pi\)
0.985312 + 0.170765i \(0.0546239\pi\)
\(242\) 4.91141 9.63918i 0.315717 0.619630i
\(243\) 1.66995 15.4988i 0.107128 0.994245i
\(244\) 2.94614 0.957260i 0.188607 0.0612823i
\(245\) −2.58725 + 0.0532743i −0.165293 + 0.00340357i
\(246\) −0.803294 0.838544i −0.0512162 0.0534636i
\(247\) −49.8856 2.61439i −3.17414 0.166350i
\(248\) 5.35232 + 4.33422i 0.339873 + 0.275223i
\(249\) −27.9265 + 0.863012i −1.76977 + 0.0546912i
\(250\) −10.1705 + 4.64331i −0.643241 + 0.293669i
\(251\) 1.49281i 0.0942254i −0.998890 0.0471127i \(-0.984998\pi\)
0.998890 0.0471127i \(-0.0150020\pi\)
\(252\) −6.59648 + 3.01177i −0.415539 + 0.189723i
\(253\) 2.67836 1.36469i 0.168387 0.0857974i
\(254\) −8.41016 + 1.78763i −0.527700 + 0.112166i
\(255\) 2.27023 0.116978i 0.142167 0.00732544i
\(256\) −0.978148 0.207912i −0.0611342 0.0129945i
\(257\) −7.87496 + 2.11009i −0.491226 + 0.131624i −0.495925 0.868365i \(-0.665171\pi\)
0.00469885 + 0.999989i \(0.498504\pi\)
\(258\) 0.670551 + 8.03575i 0.0417467 + 0.500284i
\(259\) 8.14709 + 0.856293i 0.506235 + 0.0532075i
\(260\) 8.60390 11.0839i 0.533591 0.687397i
\(261\) 18.4267 3.09682i 1.14058 0.191689i
\(262\) −4.74417 + 0.751403i −0.293096 + 0.0464218i
\(263\) −1.06753 1.31829i −0.0658270 0.0812895i 0.743169 0.669104i \(-0.233322\pi\)
−0.808996 + 0.587814i \(0.799989\pi\)
\(264\) 0.452198 + 0.583599i 0.0278308 + 0.0359180i
\(265\) 2.37782 + 1.47548i 0.146068 + 0.0906382i
\(266\) 7.82661 + 17.5789i 0.479880 + 1.07783i
\(267\) −4.20019 6.05002i −0.257047 0.370255i
\(268\) −1.21893 + 4.54912i −0.0744582 + 0.277882i
\(269\) −1.69504 5.21678i −0.103348 0.318073i 0.885991 0.463702i \(-0.153479\pi\)
−0.989339 + 0.145629i \(0.953479\pi\)
\(270\) 7.70050 8.70070i 0.468638 0.529508i
\(271\) −4.41591 + 13.5908i −0.268248 + 0.825582i 0.722680 + 0.691183i \(0.242910\pi\)
−0.990927 + 0.134398i \(0.957090\pi\)
\(272\) 0.492257 + 0.319675i 0.0298474 + 0.0193832i
\(273\) 15.8946 20.9177i 0.961987 1.26600i
\(274\) 2.91807 + 1.68475i 0.176287 + 0.101779i
\(275\) 1.32264 + 1.67119i 0.0797580 + 0.100777i
\(276\) −0.377290 12.2089i −0.0227102 0.734887i
\(277\) −8.78589 + 3.37259i −0.527893 + 0.202639i −0.607694 0.794172i \(-0.707905\pi\)
0.0798003 + 0.996811i \(0.474572\pi\)
\(278\) 3.63905 + 7.14203i 0.218256 + 0.428351i
\(279\) −20.0069 5.15921i −1.19778 0.308874i
\(280\) −5.30885 1.01468i −0.317265 0.0606385i
\(281\) 7.40111 + 6.66399i 0.441513 + 0.397541i 0.859683 0.510829i \(-0.170661\pi\)
−0.418169 + 0.908369i \(0.637328\pi\)
\(282\) −17.8489 4.19626i −1.06288 0.249884i
\(283\) 4.44020 + 6.83731i 0.263943 + 0.406436i 0.945649 0.325190i \(-0.105428\pi\)
−0.681706 + 0.731626i \(0.738762\pi\)
\(284\) −6.70157 + 2.98373i −0.397665 + 0.177052i
\(285\) −22.8944 20.6506i −1.35615 1.22324i
\(286\) −2.44350 1.08792i −0.144487 0.0643299i
\(287\) −0.253509 1.60060i −0.0149642 0.0944802i
\(288\) 2.92843 0.651368i 0.172560 0.0383822i
\(289\) 9.78985 + 13.4746i 0.575874 + 0.792622i
\(290\) 12.5366 + 6.06594i 0.736176 + 0.356204i
\(291\) −18.0436 12.2762i −1.05773 0.719643i
\(292\) −7.26297 + 4.71663i −0.425033 + 0.276020i
\(293\) −1.19211 4.44901i −0.0696437 0.259914i 0.922322 0.386423i \(-0.126289\pi\)
−0.991965 + 0.126509i \(0.959623\pi\)
\(294\) 1.97264 + 0.355998i 0.115046 + 0.0207622i
\(295\) 2.77155 3.98472i 0.161366 0.231999i
\(296\) −3.22320 1.04728i −0.187345 0.0608720i
\(297\) −1.96121 1.02922i −0.113801 0.0597212i
\(298\) −4.00429 0.634217i −0.231962 0.0367392i
\(299\) 22.1263 + 38.3238i 1.27960 + 2.21633i
\(300\) 8.43388 1.96717i 0.486930 0.113574i
\(301\) −5.62664 + 9.74563i −0.324314 + 0.561729i
\(302\) −0.256213 + 0.316397i −0.0147434 + 0.0182066i
\(303\) 10.2456 + 18.6597i 0.588593 + 1.07197i
\(304\) −1.65513 7.78678i −0.0949283 0.446603i
\(305\) −6.87249 + 0.865713i −0.393517 + 0.0495706i
\(306\) −1.74169 0.259051i −0.0995656 0.0148089i
\(307\) −3.65318 + 3.65318i −0.208498 + 0.208498i −0.803629 0.595131i \(-0.797100\pi\)
0.595131 + 0.803629i \(0.297100\pi\)
\(308\) 0.0539228 + 1.02891i 0.00307254 + 0.0586275i
\(309\) −8.47971 0.627168i −0.482394 0.0356783i
\(310\) −9.93595 11.7661i −0.564324 0.668269i
\(311\) 14.1556 1.48782i 0.802693 0.0843664i 0.305708 0.952125i \(-0.401107\pi\)
0.496985 + 0.867759i \(0.334440\pi\)
\(312\) −8.23126 + 7.09753i −0.466003 + 0.401818i
\(313\) −9.72125 + 7.87212i −0.549478 + 0.444958i −0.863421 0.504483i \(-0.831683\pi\)
0.313944 + 0.949442i \(0.398350\pi\)
\(314\) −0.00103071 0.000748851i −5.81661e−5 4.22601e-5i
\(315\) 15.7522 3.84572i 0.887536 0.216682i
\(316\) 14.2573 + 10.3585i 0.802035 + 0.582712i
\(317\) 17.7528 0.930384i 0.997096 0.0522556i 0.453200 0.891409i \(-0.350282\pi\)
0.543895 + 0.839153i \(0.316949\pi\)
\(318\) −1.57936 1.48467i −0.0885663 0.0832564i
\(319\) 0.551974 2.59683i 0.0309046 0.145395i
\(320\) 2.06104 + 0.867245i 0.115216 + 0.0484804i
\(321\) 8.54939 8.19000i 0.477181 0.457121i
\(322\) 9.28404 14.2962i 0.517380 0.796695i
\(323\) −0.730948 + 4.61502i −0.0406710 + 0.256787i
\(324\) −7.18013 + 5.42639i −0.398896 + 0.301466i
\(325\) −23.5497 + 20.7321i −1.30630 + 1.15001i
\(326\) 2.40897 1.39082i 0.133421 0.0770304i
\(327\) −17.8431 13.5584i −0.986727 0.749780i
\(328\) −0.0350877 + 0.669513i −0.00193739 + 0.0369677i
\(329\) −17.1218 19.0157i −0.943956 1.04837i
\(330\) −0.748184 1.47159i −0.0411862 0.0810083i
\(331\) 2.11769 2.35193i 0.116399 0.129274i −0.682129 0.731232i \(-0.738946\pi\)
0.798528 + 0.601958i \(0.205612\pi\)
\(332\) 11.4064 + 11.4064i 0.626007 + 0.626007i
\(333\) 10.1011 1.15803i 0.553535 0.0634597i
\(334\) 14.2804 19.6553i 0.781391 1.07549i
\(335\) 4.58678 9.47960i 0.250603 0.517926i
\(336\) 3.87548 + 1.58392i 0.211425 + 0.0864097i
\(337\) 7.52386 19.6003i 0.409851 1.06770i −0.560958 0.827844i \(-0.689567\pi\)
0.970809 0.239854i \(-0.0770996\pi\)
\(338\) 9.45238 24.6243i 0.514142 1.33938i
\(339\) 25.3086 + 10.3437i 1.37458 + 0.561792i
\(340\) −0.946956 0.908745i −0.0513559 0.0492836i
\(341\) −1.72554 + 2.37500i −0.0934430 + 0.128613i
\(342\) 14.2191 + 19.1880i 0.768882 + 1.03757i
\(343\) 13.9424 + 13.9424i 0.752820 + 0.752820i
\(344\) 3.11518 3.45976i 0.167959 0.186538i
\(345\) −4.29637 + 26.9728i −0.231309 + 1.45217i
\(346\) −5.81856 6.46216i −0.312808 0.347408i
\(347\) −0.697116 + 13.3018i −0.0374232 + 0.714076i 0.913911 + 0.405915i \(0.133047\pi\)
−0.951334 + 0.308162i \(0.900286\pi\)
\(348\) −8.58943 6.52681i −0.460442 0.349874i
\(349\) 31.2004 18.0135i 1.67012 0.964242i 0.702547 0.711637i \(-0.252046\pi\)
0.967569 0.252605i \(-0.0812874\pi\)
\(350\) 11.2340 + 4.45709i 0.600480 + 0.238241i
\(351\) 13.6198 29.6253i 0.726969 1.58128i
\(352\) 0.0666804 0.421003i 0.00355408 0.0224396i
\(353\) −0.630938 + 0.971560i −0.0335815 + 0.0517109i −0.855063 0.518525i \(-0.826481\pi\)
0.821481 + 0.570236i \(0.193148\pi\)
\(354\) −2.71500 + 2.60086i −0.144300 + 0.138234i
\(355\) 15.9713 3.74003i 0.847666 0.198500i
\(356\) −0.884088 + 4.15931i −0.0468566 + 0.220443i
\(357\) −1.79045 1.68311i −0.0947608 0.0890796i
\(358\) 20.4675 1.07266i 1.08174 0.0566916i
\(359\) 3.53793 + 2.57046i 0.186725 + 0.135663i 0.677221 0.735780i \(-0.263184\pi\)
−0.490496 + 0.871444i \(0.663184\pi\)
\(360\) −6.70518 + 0.201314i −0.353394 + 0.0106102i
\(361\) 35.8989 26.0821i 1.88942 1.37274i
\(362\) −4.64205 + 3.75905i −0.243981 + 0.197572i
\(363\) 14.1909 12.2363i 0.744827 0.642239i
\(364\) −15.0847 + 1.58547i −0.790655 + 0.0831012i
\(365\) 17.9317 7.31034i 0.938587 0.382641i
\(366\) 5.35086 + 0.395755i 0.279694 + 0.0206864i
\(367\) 1.10508 + 21.0862i 0.0576847 + 1.10069i 0.862138 + 0.506674i \(0.169125\pi\)
−0.804453 + 0.594016i \(0.797542\pi\)
\(368\) −4.98662 + 4.98662i −0.259946 + 0.259946i
\(369\) −0.738452 1.87083i −0.0384423 0.0973915i
\(370\) 6.63953 + 3.65319i 0.345173 + 0.189920i
\(371\) −0.628943 2.95895i −0.0326531 0.153621i
\(372\) 5.74132 + 10.4564i 0.297674 + 0.542138i
\(373\) −20.4510 + 25.2548i −1.05891 + 1.30765i −0.109371 + 0.994001i \(0.534884\pi\)
−0.949540 + 0.313645i \(0.898450\pi\)
\(374\) −0.125094 + 0.216669i −0.00646845 + 0.0112037i
\(375\) −19.3492 + 0.780152i −0.999188 + 0.0402869i
\(376\) 5.29300 + 9.16775i 0.272966 + 0.472791i
\(377\) 38.6021 + 6.11397i 1.98811 + 0.314885i
\(378\) −12.5498 + 0.506276i −0.645490 + 0.0260400i
\(379\) 10.1852 + 3.30938i 0.523180 + 0.169992i 0.558688 0.829378i \(-0.311305\pi\)
−0.0355079 + 0.999369i \(0.511305\pi\)
\(380\) 0.366459 + 17.7970i 0.0187990 + 0.912967i
\(381\) −14.6555 2.64485i −0.750825 0.135500i
\(382\) 3.28183 + 12.2479i 0.167913 + 0.626659i
\(383\) −4.32014 + 2.80553i −0.220749 + 0.143356i −0.650276 0.759698i \(-0.725347\pi\)
0.429527 + 0.903054i \(0.358680\pi\)
\(384\) −1.43204 0.974306i −0.0730783 0.0497198i
\(385\) 0.313483 2.28244i 0.0159766 0.116324i
\(386\) −3.77179 5.19142i −0.191979 0.264236i
\(387\) −4.19055 + 13.3232i −0.213017 + 0.677257i
\(388\) 1.97106 + 12.4448i 0.100066 + 0.631790i
\(389\) 34.6286 + 15.4177i 1.75574 + 0.781706i 0.990425 + 0.138050i \(0.0440835\pi\)
0.765315 + 0.643656i \(0.222583\pi\)
\(390\) 21.0578 12.1331i 1.06630 0.614382i
\(391\) 3.78139 1.68358i 0.191233 0.0851425i
\(392\) −0.630310 0.970593i −0.0318355 0.0490223i
\(393\) −8.09877 1.90402i −0.408529 0.0960449i
\(394\) −1.56003 1.40466i −0.0785933 0.0707657i
\(395\) −26.9651 28.7354i −1.35676 1.44584i
\(396\) 0.342594 + 1.23201i 0.0172160 + 0.0619107i
\(397\) −13.4618 26.4202i −0.675627 1.32599i −0.933068 0.359699i \(-0.882879\pi\)
0.257441 0.966294i \(-0.417121\pi\)
\(398\) −2.50412 + 0.961243i −0.125520 + 0.0481828i
\(399\) 1.02947 + 33.3130i 0.0515381 + 1.66774i
\(400\) −4.16264 2.76992i −0.208132 0.138496i
\(401\) −13.0363 7.52651i −0.651002 0.375856i 0.137838 0.990455i \(-0.455985\pi\)
−0.788840 + 0.614599i \(0.789318\pi\)
\(402\) −4.93527 + 6.49492i −0.246149 + 0.323937i
\(403\) −36.2450 23.5378i −1.80549 1.17250i
\(404\) 3.79793 11.6888i 0.188954 0.581540i
\(405\) 18.0477 8.90398i 0.896797 0.442442i
\(406\) −4.65225 14.3182i −0.230887 0.710598i
\(407\) 0.373889 1.39537i 0.0185330 0.0691661i
\(408\) 0.579765 + 0.835104i 0.0287026 + 0.0413438i
\(409\) −6.57442 14.7664i −0.325084 0.730151i 0.674886 0.737922i \(-0.264193\pi\)
−0.999970 + 0.00777134i \(0.997526\pi\)
\(410\) 0.358111 1.45573i 0.0176858 0.0718934i
\(411\) 3.57460 + 4.61333i 0.176322 + 0.227559i
\(412\) 3.08942 + 3.81511i 0.152205 + 0.187957i
\(413\) −5.18233 + 0.820800i −0.255006 + 0.0403889i
\(414\) 7.39528 19.8218i 0.363458 0.974190i
\(415\) −20.2638 29.8401i −0.994712 1.46479i
\(416\) 6.24067 + 0.655921i 0.305974 + 0.0321592i
\(417\) 1.15452 + 13.8355i 0.0565369 + 0.677527i
\(418\) 3.27766 0.878245i 0.160315 0.0429564i
\(419\) 29.5347 + 6.27779i 1.44286 + 0.306690i 0.861834 0.507191i \(-0.169316\pi\)
0.581031 + 0.813881i \(0.302650\pi\)
\(420\) −7.84686 5.10562i −0.382888 0.249129i
\(421\) −3.68911 + 0.784144i −0.179796 + 0.0382168i −0.296930 0.954899i \(-0.595963\pi\)
0.117134 + 0.993116i \(0.462629\pi\)
\(422\) −13.1725 + 6.71171i −0.641226 + 0.326721i
\(423\) −25.8676 18.4239i −1.25773 0.895800i
\(424\) 1.25149i 0.0607775i
\(425\) 1.69834 + 2.39340i 0.0823815 + 0.116097i
\(426\) −12.6999 + 0.392465i −0.615312 + 0.0190150i
\(427\) 5.81911 + 4.71223i 0.281607 + 0.228041i
\(428\) −6.82604 0.357737i −0.329949 0.0172919i
\(429\) −3.20481 3.34544i −0.154730 0.161520i
\(430\) −8.29425 + 6.29103i −0.399984 + 0.303380i
\(431\) −28.8508 + 9.37419i −1.38969 + 0.451539i −0.905844 0.423612i \(-0.860762\pi\)
−0.483850 + 0.875151i \(0.660762\pi\)
\(432\) 5.12202 + 0.874590i 0.246433 + 0.0420787i
\(433\) 14.3579 28.1789i 0.689995 1.35419i −0.234169 0.972196i \(-0.575237\pi\)
0.924164 0.381996i \(-0.124763\pi\)
\(434\) −1.74013 + 16.5562i −0.0835288 + 0.794723i
\(435\) 16.1252 + 17.9406i 0.773146 + 0.860184i
\(436\) 1.35243 + 12.8675i 0.0647697 + 0.616242i
\(437\) −52.4116 20.1189i −2.50718 0.962418i
\(438\) −14.7355 + 2.80297i −0.704090 + 0.133931i
\(439\) −6.39009 + 14.3524i −0.304982 + 0.685002i −0.999402 0.0345682i \(-0.988994\pi\)
0.694420 + 0.719570i \(0.255661\pi\)
\(440\) −0.323179 + 0.896664i −0.0154070 + 0.0427468i
\(441\) 2.92947 + 1.86340i 0.139499 + 0.0887333i
\(442\) −3.28169 1.67211i −0.156094 0.0795339i
\(443\) 32.2018 + 8.62846i 1.52996 + 0.409950i 0.923005 0.384789i \(-0.125726\pi\)
0.606951 + 0.794739i \(0.292392\pi\)
\(444\) −4.48154 3.79121i −0.212684 0.179923i
\(445\) 3.68772 8.76401i 0.174815 0.415454i
\(446\) 12.8183 11.5416i 0.606964 0.546512i
\(447\) −6.00454 3.64077i −0.284005 0.172202i
\(448\) −0.866236 2.25662i −0.0409258 0.106615i
\(449\) −3.91552 −0.184785 −0.0923925 0.995723i \(-0.529451\pi\)
−0.0923925 + 0.995723i \(0.529451\pi\)
\(450\) 14.8112 + 2.37255i 0.698206 + 0.111843i
\(451\) −0.285773 −0.0134565
\(452\) −5.65691 14.7368i −0.266079 0.693159i
\(453\) −0.618117 + 0.339392i −0.0290417 + 0.0159460i
\(454\) 4.74599 4.27331i 0.222740 0.200556i
\(455\) 33.7964 + 2.85007i 1.58440 + 0.133613i
\(456\) 2.44881 13.5692i 0.114676 0.635437i
\(457\) 14.3808 + 3.85333i 0.672707 + 0.180251i 0.578974 0.815346i \(-0.303453\pi\)
0.0937332 + 0.995597i \(0.470120\pi\)
\(458\) 22.8942 + 11.6652i 1.06977 + 0.545077i
\(459\) −2.62272 1.55663i −0.122418 0.0726571i
\(460\) 13.0455 8.85890i 0.608248 0.413048i
\(461\) −11.4524 + 25.7226i −0.533393 + 1.19802i 0.423052 + 0.906106i \(0.360959\pi\)
−0.956444 + 0.291914i \(0.905708\pi\)
\(462\) −0.587766 + 1.68500i −0.0273453 + 0.0783932i
\(463\) 18.1410 + 6.96370i 0.843086 + 0.323630i 0.741298 0.671176i \(-0.234210\pi\)
0.101788 + 0.994806i \(0.467544\pi\)
\(464\) 0.651041 + 6.19424i 0.0302238 + 0.287560i
\(465\) −8.22037 25.3755i −0.381211 1.17676i
\(466\) −2.26810 + 21.5795i −0.105068 + 0.999652i
\(467\) 2.45009 4.80857i 0.113377 0.222514i −0.827345 0.561694i \(-0.810150\pi\)
0.940721 + 0.339180i \(0.110150\pi\)
\(468\) −17.8481 + 5.98579i −0.825030 + 0.276693i
\(469\) −10.8267 + 3.51781i −0.499931 + 0.162438i
\(470\) −7.77666 22.3571i −0.358711 1.03126i
\(471\) −0.00214325 0.000525245i −9.87557e−5 2.42020e-5i
\(472\) 2.16772 + 0.113605i 0.0997772 + 0.00522910i
\(473\) 1.54220 + 1.24885i 0.0709105 + 0.0574222i
\(474\) 16.0712 + 25.9504i 0.738173 + 1.19194i
\(475\) 6.66594 39.2416i 0.305854 1.80053i
\(476\) 1.41875i 0.0650285i
\(477\) −1.55934 3.41532i −0.0713972 0.156377i
\(478\) −4.30869 + 2.19539i −0.197075 + 0.100415i
\(479\) −9.03408 + 1.92025i −0.412778 + 0.0877386i −0.409620 0.912256i \(-0.634339\pi\)
−0.00315812 + 0.999995i \(0.501005\pi\)
\(480\) 2.73621 + 2.74102i 0.124890 + 0.125110i
\(481\) 20.8019 + 4.42157i 0.948484 + 0.201606i
\(482\) 2.00445 0.537092i 0.0913004 0.0244639i
\(483\) 24.2532 16.8376i 1.10356 0.766138i
\(484\) −10.7590 1.13082i −0.489048 0.0514010i
\(485\) 0.894996 28.1601i 0.0406397 1.27868i
\(486\) −15.0678 + 3.99522i −0.683489 + 0.181227i
\(487\) −28.9750 + 4.58919i −1.31298 + 0.207956i −0.773369 0.633956i \(-0.781430\pi\)
−0.539615 + 0.841912i \(0.681430\pi\)
\(488\) −1.94948 2.40741i −0.0882489 0.108978i
\(489\) 4.77371 0.651374i 0.215875 0.0294562i
\(490\) 0.976924 + 2.39632i 0.0441329 + 0.108254i
\(491\) −7.32254 16.4467i −0.330462 0.742229i 0.669538 0.742778i \(-0.266492\pi\)
−1.00000 0.000548551i \(0.999825\pi\)
\(492\) −0.494974 + 1.05045i −0.0223151 + 0.0473578i
\(493\) 0.946172 3.53116i 0.0426135 0.159036i
\(494\) 15.4366 + 47.5091i 0.694528 + 2.13754i
\(495\) −0.235274 2.84969i −0.0105748 0.128084i
\(496\) 2.12825 6.55007i 0.0955611 0.294107i
\(497\) −14.8712 9.65744i −0.667063 0.433196i
\(498\) 10.8137 + 25.7623i 0.484571 + 1.15444i
\(499\) 16.4685 + 9.50809i 0.737231 + 0.425641i 0.821062 0.570839i \(-0.193382\pi\)
−0.0838306 + 0.996480i \(0.526715\pi\)
\(500\) 7.97969 + 7.83100i 0.356863 + 0.350213i
\(501\) 35.7757 22.1560i 1.59834 0.989858i
\(502\) −1.39366 + 0.534976i −0.0622021 + 0.0238771i
\(503\) 2.33950 + 4.59153i 0.104313 + 0.204726i 0.937264 0.348621i \(-0.113350\pi\)
−0.832950 + 0.553348i \(0.813350\pi\)
\(504\) 5.17569 + 5.07903i 0.230544 + 0.226238i
\(505\) −13.2481 + 24.0780i −0.589535 + 1.07146i
\(506\) −2.23389 2.01140i −0.0993083 0.0894176i
\(507\) 31.2909 33.2865i 1.38968 1.47831i
\(508\) 4.68283 + 7.21093i 0.207767 + 0.319933i
\(509\) 16.9454 7.54457i 0.751090 0.334407i 0.00476541 0.999989i \(-0.498483\pi\)
0.746325 + 0.665582i \(0.231816\pi\)
\(510\) −0.922786 2.07752i −0.0408617 0.0919942i
\(511\) −19.1232 8.51418i −0.845959 0.376645i
\(512\) 0.156434 + 0.987688i 0.00691349 + 0.0436501i
\(513\) 10.2243 + 40.0818i 0.451413 + 1.76965i
\(514\) 4.79207 + 6.59572i 0.211369 + 0.290925i
\(515\) −5.18382 9.67605i −0.228426 0.426378i
\(516\) 7.26172 3.50577i 0.319679 0.154333i
\(517\) −3.78433 + 2.45757i −0.166435 + 0.108084i
\(518\) −2.12024 7.91283i −0.0931578 0.347670i
\(519\) −5.09446 14.1736i −0.223622 0.622154i
\(520\) −13.4311 4.06031i −0.588993 0.178056i
\(521\) −8.67687 2.81929i −0.380141 0.123515i 0.112713 0.993628i \(-0.464046\pi\)
−0.492853 + 0.870112i \(0.664046\pi\)
\(522\) −9.49466 16.0930i −0.415570 0.704370i
\(523\) −34.9610 5.53728i −1.52874 0.242128i −0.665298 0.746578i \(-0.731695\pi\)
−0.863441 + 0.504450i \(0.831695\pi\)
\(524\) 2.40165 + 4.15979i 0.104917 + 0.181721i
\(525\) 15.0909 + 14.5075i 0.658622 + 0.633158i
\(526\) −0.848164 + 1.46906i −0.0369817 + 0.0640542i
\(527\) −2.54397 + 3.14154i −0.110817 + 0.136848i
\(528\) 0.382784 0.631306i 0.0166585 0.0274741i
\(529\) 5.55807 + 26.1487i 0.241655 + 1.13690i
\(530\) 0.525347 2.74865i 0.0228196 0.119394i
\(531\) −6.05727 + 2.39092i −0.262863 + 0.103757i
\(532\) 13.6065 13.6065i 0.589915 0.589915i
\(533\) −0.220177 4.20123i −0.00953692 0.181975i
\(534\) −4.14297 + 6.08935i −0.179284 + 0.263512i
\(535\) 14.8419 + 3.65113i 0.641673 + 0.157852i
\(536\) 4.68380 0.492287i 0.202309 0.0212636i
\(537\) 33.5187 + 11.6921i 1.44644 + 0.504551i
\(538\) −4.26284 + 3.45198i −0.183784 + 0.148825i
\(539\) 0.399088 0.289955i 0.0171900 0.0124892i
\(540\) −10.8824 4.07099i −0.468305 0.175187i
\(541\) 20.3456 + 14.7820i 0.874727 + 0.635527i 0.931851 0.362841i \(-0.118193\pi\)
−0.0571240 + 0.998367i \(0.518193\pi\)
\(542\) 14.2706 0.747891i 0.612975 0.0321247i
\(543\) −9.90588 + 2.98511i −0.425102 + 0.128103i
\(544\) 0.122033 0.574122i 0.00523214 0.0246153i
\(545\) 2.43115 28.8288i 0.104139 1.23489i
\(546\) −25.2245 7.34269i −1.07951 0.314238i
\(547\) 7.34607 11.3120i 0.314095 0.483664i −0.646000 0.763337i \(-0.723559\pi\)
0.960095 + 0.279673i \(0.0902261\pi\)
\(548\) 0.527106 3.32802i 0.0225168 0.142166i
\(549\) 8.31977 + 4.14082i 0.355079 + 0.176726i
\(550\) 1.08620 1.83369i 0.0463159 0.0781888i
\(551\) −42.9396 + 24.7912i −1.82929 + 1.05614i
\(552\) −11.2627 + 4.72749i −0.479374 + 0.201215i
\(553\) −2.22939 + 42.5393i −0.0948033 + 1.80895i
\(554\) 6.29717 + 6.99371i 0.267541 + 0.297134i
\(555\) 8.25139 + 10.2079i 0.350252 + 0.433303i
\(556\) 5.36354 5.95682i 0.227465 0.252625i
\(557\) −20.8282 20.8282i −0.882519 0.882519i 0.111271 0.993790i \(-0.464508\pi\)
−0.993790 + 0.111271i \(0.964508\pi\)
\(558\) 2.35331 + 20.5270i 0.0996235 + 0.868977i
\(559\) −17.1715 + 23.6345i −0.726277 + 0.999634i
\(560\) 0.955242 + 5.31987i 0.0403663 + 0.224806i
\(561\) −0.342543 + 0.265417i −0.0144622 + 0.0112059i
\(562\) 3.56905 9.29770i 0.150551 0.392200i
\(563\) 3.47413 9.05042i 0.146417 0.381430i −0.840684 0.541526i \(-0.817847\pi\)
0.987102 + 0.160096i \(0.0511803\pi\)
\(564\) 2.47892 + 18.1672i 0.104381 + 0.764975i
\(565\) 6.23816 + 34.7412i 0.262442 + 1.46157i
\(566\) 4.79195 6.59556i 0.201421 0.277232i
\(567\) −20.4529 7.41186i −0.858943 0.311269i
\(568\) 5.18718 + 5.18718i 0.217649 + 0.217649i
\(569\) −8.25301 + 9.16590i −0.345984 + 0.384254i −0.890872 0.454255i \(-0.849906\pi\)
0.544888 + 0.838509i \(0.316572\pi\)
\(570\) −11.0744 + 28.7743i −0.463857 + 1.20522i
\(571\) −7.03105 7.80877i −0.294240 0.326787i 0.577840 0.816150i \(-0.303896\pi\)
−0.872080 + 0.489363i \(0.837229\pi\)
\(572\) −0.139985 + 2.67108i −0.00585308 + 0.111683i
\(573\) −2.76401 + 21.7878i −0.115468 + 0.910198i
\(574\) −1.40343 + 0.810274i −0.0585782 + 0.0338202i
\(575\) −32.3707 + 13.9807i −1.34995 + 0.583036i
\(576\) −1.65756 2.50050i −0.0690651 0.104187i
\(577\) −6.41717 + 40.5164i −0.267150 + 1.68672i 0.380499 + 0.924781i \(0.375752\pi\)
−0.647649 + 0.761938i \(0.724248\pi\)
\(578\) 9.07123 13.9685i 0.377313 0.581012i
\(579\) −2.64553 10.7950i −0.109945 0.448626i
\(580\) 1.17032 13.8778i 0.0485950 0.576244i
\(581\) −8.10679 + 38.1394i −0.336326 + 1.58229i
\(582\) −4.99458 + 21.2445i −0.207032 + 0.880614i
\(583\) −0.532716 + 0.0279185i −0.0220628 + 0.00115626i
\(584\) 7.00616 + 5.09028i 0.289917 + 0.210637i
\(585\) 41.7128 5.65440i 1.72461 0.233781i
\(586\) −3.72629 + 2.70731i −0.153932 + 0.111838i
\(587\) −0.900736 + 0.729402i −0.0371774 + 0.0301056i −0.647729 0.761871i \(-0.724281\pi\)
0.610552 + 0.791976i \(0.290948\pi\)
\(588\) −0.374577 1.96919i −0.0154473 0.0812081i
\(589\) 54.5265 5.73097i 2.24673 0.236140i
\(590\) −4.71329 1.15947i −0.194043 0.0477348i
\(591\) −1.58078 3.27436i −0.0650245 0.134689i
\(592\) 0.177371 + 3.38443i 0.00728988 + 0.139099i
\(593\) −20.1168 + 20.1168i −0.826097 + 0.826097i −0.986974 0.160877i \(-0.948568\pi\)
0.160877 + 0.986974i \(0.448568\pi\)
\(594\) −0.258021 + 2.19979i −0.0105867 + 0.0902583i
\(595\) 0.595563 3.11602i 0.0244157 0.127745i
\(596\) 0.842916 + 3.96561i 0.0345272 + 0.162438i
\(597\) −4.64478 0.0997234i −0.190098 0.00408141i
\(598\) 27.8490 34.3907i 1.13883 1.40634i
\(599\) −3.01611 + 5.22406i −0.123235 + 0.213449i −0.921042 0.389464i \(-0.872660\pi\)
0.797807 + 0.602913i \(0.205994\pi\)
\(600\) −4.85894 7.16873i −0.198365 0.292662i
\(601\) 0.195449 + 0.338527i 0.00797251 + 0.0138088i 0.869984 0.493080i \(-0.164129\pi\)
−0.862012 + 0.506889i \(0.830796\pi\)
\(602\) 11.1147 + 1.76040i 0.453003 + 0.0717486i
\(603\) −12.1688 + 7.17942i −0.495550 + 0.292369i
\(604\) 0.387200 + 0.125809i 0.0157550 + 0.00511910i
\(605\) 23.1555 + 7.00006i 0.941406 + 0.284593i
\(606\) 13.7487 16.2521i 0.558502 0.660198i
\(607\) −5.61303 20.9481i −0.227826 0.850258i −0.981253 0.192726i \(-0.938267\pi\)
0.753427 0.657532i \(-0.228399\pi\)
\(608\) −6.67644 + 4.33573i −0.270766 + 0.175837i
\(609\) 1.92336 26.0050i 0.0779383 1.05378i
\(610\) 3.27109 + 6.10578i 0.132443 + 0.247216i
\(611\) −39.0452 53.7411i −1.57960 2.17413i
\(612\) 0.382320 + 1.71884i 0.0154544 + 0.0694800i
\(613\) 1.54773 + 9.77196i 0.0625121 + 0.394686i 0.999029 + 0.0440628i \(0.0140302\pi\)
−0.936517 + 0.350623i \(0.885970\pi\)
\(614\) 4.71972 + 2.10136i 0.190472 + 0.0848038i
\(615\) 1.52807 2.09933i 0.0616178 0.0846531i
\(616\) 0.941245 0.419069i 0.0379238 0.0168848i
\(617\) 2.89910 + 4.46422i 0.116713 + 0.179723i 0.892199 0.451642i \(-0.149162\pi\)
−0.775486 + 0.631365i \(0.782495\pi\)
\(618\) 2.45334 + 8.14125i 0.0986880 + 0.327489i
\(619\) −18.8810 17.0006i −0.758892 0.683310i 0.195886 0.980627i \(-0.437242\pi\)
−0.954779 + 0.297317i \(0.903908\pi\)
\(620\) −7.42387 + 13.4926i −0.298150 + 0.541876i
\(621\) 24.8458 26.9346i 0.997026 1.08085i
\(622\) −6.46193 12.6822i −0.259100 0.508512i
\(623\) −9.59567 + 3.68343i −0.384442 + 0.147574i
\(624\) 9.57593 + 5.14102i 0.383344 + 0.205805i
\(625\) −14.2386 20.5490i −0.569544 0.821961i
\(626\) 10.8330 + 6.25446i 0.432975 + 0.249978i
\(627\) 5.83060 + 0.739673i 0.232852 + 0.0295397i
\(628\) 0.00106848 0.000693882i 4.26372e−5 2.76889e-5i
\(629\) 0.614701 1.89185i 0.0245097 0.0754332i
\(630\) −9.23537 13.3278i −0.367946 0.530991i
\(631\) −7.35397 22.6332i −0.292757 0.901013i −0.983966 0.178358i \(-0.942922\pi\)
0.691209 0.722655i \(-0.257078\pi\)
\(632\) 4.56116 17.0225i 0.181433 0.677118i
\(633\) −25.5176 + 2.12934i −1.01423 + 0.0846338i
\(634\) −7.23062 16.2402i −0.287164 0.644982i
\(635\) −7.25796 17.8032i −0.288024 0.706499i
\(636\) −0.820070 + 2.00652i −0.0325179 + 0.0795638i
\(637\) 4.57019 + 5.64371i 0.181078 + 0.223612i
\(638\) −2.62216 + 0.415310i −0.103812 + 0.0164423i
\(639\) −20.6191 7.69271i −0.815678 0.304319i
\(640\) 0.0710318 2.23494i 0.00280778 0.0883437i
\(641\) −43.6677 4.58966i −1.72477 0.181281i −0.810323 0.585983i \(-0.800708\pi\)
−0.914448 + 0.404703i \(0.867375\pi\)
\(642\) −10.7099 5.04651i −0.422684 0.199170i
\(643\) −11.4904 + 3.07883i −0.453136 + 0.121417i −0.478166 0.878269i \(-0.658698\pi\)
0.0250306 + 0.999687i \(0.492032\pi\)
\(644\) −16.6737 3.54411i −0.657037 0.139658i
\(645\) −17.4206 + 4.65145i −0.685937 + 0.183151i
\(646\) 4.57044 0.971477i 0.179822 0.0382223i
\(647\) 13.6350 6.94736i 0.536045 0.273129i −0.164941 0.986303i \(-0.552743\pi\)
0.700986 + 0.713175i \(0.252743\pi\)
\(648\) 7.63910 + 4.75859i 0.300092 + 0.186935i
\(649\) 0.925260i 0.0363196i
\(650\) 27.7945 + 14.5558i 1.09019 + 0.570925i
\(651\) −13.6389 + 25.4045i −0.534550 + 0.995681i
\(652\) −2.16174 1.75054i −0.0846603 0.0685566i
\(653\) −32.1089 1.68275i −1.25652 0.0658513i −0.587577 0.809168i \(-0.699918\pi\)
−0.668940 + 0.743317i \(0.733252\pi\)
\(654\) −6.26343 + 21.5169i −0.244919 + 0.841376i
\(655\) −3.52859 10.1444i −0.137873 0.396373i
\(656\) 0.637619 0.207175i 0.0248948 0.00808882i
\(657\) −25.4623 5.16182i −0.993381 0.201382i
\(658\) −11.6168 + 22.7992i −0.452869 + 0.888806i
\(659\) 4.07200 38.7425i 0.158623 1.50919i −0.568499 0.822684i \(-0.692476\pi\)
0.727121 0.686509i \(-0.240858\pi\)
\(660\) −1.10572 + 1.22586i −0.0430401 + 0.0477166i
\(661\) −3.34988 31.8720i −0.130295 1.23968i −0.842885 0.538094i \(-0.819144\pi\)
0.712589 0.701581i \(-0.247522\pi\)
\(662\) −2.95463 1.13418i −0.114835 0.0440810i
\(663\) −4.16588 4.83133i −0.161790 0.187633i
\(664\) 6.56109 14.7365i 0.254620 0.571886i
\(665\) −35.5958 + 24.1723i −1.38034 + 0.937364i
\(666\) −4.70101 9.01515i −0.182161 0.349330i
\(667\) 39.1360 + 19.9408i 1.51535 + 0.772110i
\(668\) −23.4675 6.28810i −0.907985 0.243294i
\(669\) 28.1147 10.1053i 1.08698 0.390694i
\(670\) −10.4937 0.884943i −0.405408 0.0341883i
\(671\) 0.981266 0.883536i 0.0378814 0.0341085i
\(672\) 0.0898669 4.18569i 0.00346669 0.161467i
\(673\) 15.3971 + 40.1108i 0.593515 + 1.54616i 0.820132 + 0.572175i \(0.193900\pi\)
−0.226617 + 0.973984i \(0.572767\pi\)
\(674\) −20.9948 −0.808690
\(675\) 22.1923 + 13.5094i 0.854181 + 0.519976i
\(676\) −26.3762 −1.01447
\(677\) −9.90335 25.7991i −0.380617 0.991540i −0.981374 0.192109i \(-0.938467\pi\)
0.600757 0.799432i \(-0.294866\pi\)
\(678\) 0.586872 27.3345i 0.0225387 1.04977i
\(679\) −22.6333 + 20.3792i −0.868588 + 0.782080i
\(680\) −0.509028 + 1.20972i −0.0195203 + 0.0463908i
\(681\) 10.4095 3.74151i 0.398893 0.143375i
\(682\) 2.83563 + 0.759804i 0.108582 + 0.0290944i
\(683\) 33.0254 + 16.8273i 1.26368 + 0.643878i 0.951939 0.306289i \(-0.0990872\pi\)
0.311743 + 0.950166i \(0.399087\pi\)
\(684\) 12.8178 20.1510i 0.490102 0.770495i
\(685\) −2.55472 + 7.08809i −0.0976108 + 0.270822i
\(686\) 8.01985 18.0129i 0.306199 0.687735i
\(687\) 29.0626 + 33.7049i 1.10881 + 1.28592i
\(688\) −4.34635 1.66841i −0.165703 0.0636074i
\(689\) −0.820875 7.81010i −0.0312728 0.297541i
\(690\) 26.7210 5.65519i 1.01725 0.215289i
\(691\) 2.43151 23.1343i 0.0924991 0.880070i −0.845627 0.533775i \(-0.820773\pi\)
0.938126 0.346295i \(-0.112560\pi\)
\(692\) −3.94776 + 7.74793i −0.150072 + 0.294532i
\(693\) −2.04651 + 2.31643i −0.0777406 + 0.0879938i
\(694\) 12.6681 4.11611i 0.480874 0.156246i
\(695\) −14.2806 + 10.8315i −0.541693 + 0.410863i
\(696\) −3.01513 + 10.3579i −0.114288 + 0.392616i
\(697\) −0.392970 0.0205947i −0.0148848 0.000780079i
\(698\) −27.9983 22.6726i −1.05975 0.858169i
\(699\) −17.7770 + 33.1125i −0.672390 + 1.25243i
\(700\) 0.135160 12.0851i 0.00510856 0.456773i
\(701\) 3.06291i 0.115684i 0.998326 + 0.0578422i \(0.0184220\pi\)
−0.998326 + 0.0578422i \(0.981578\pi\)
\(702\) −32.5385 2.09839i −1.22809 0.0791985i
\(703\) −24.0390 + 12.2485i −0.906647 + 0.461960i
\(704\) −0.416937 + 0.0886226i −0.0157139 + 0.00334009i
\(705\) 2.18171 40.9413i 0.0821681 1.54194i
\(706\) 1.13314 + 0.240856i 0.0426462 + 0.00906473i
\(707\) 28.6956 7.68895i 1.07921 0.289173i
\(708\) 3.40108 + 1.60260i 0.127821 + 0.0602294i
\(709\) 36.6549 + 3.85259i 1.37661 + 0.144687i 0.763752 0.645510i \(-0.223355\pi\)
0.612853 + 0.790197i \(0.290022\pi\)
\(710\) −9.21520 13.5701i −0.345840 0.509278i
\(711\) 8.76237 + 52.1377i 0.328615 + 1.95532i
\(712\) 4.19988 0.665195i 0.157397 0.0249292i
\(713\) −30.5656 37.7454i −1.14469 1.41358i
\(714\) −0.929677 + 2.27471i −0.0347923 + 0.0851287i
\(715\) 1.42871 5.80776i 0.0534309 0.217198i
\(716\) −8.33630 18.7236i −0.311542 0.699735i
\(717\) −8.34677 + 0.696504i −0.311716 + 0.0260114i
\(718\) 1.13185 4.22411i 0.0422402 0.157642i
\(719\) −13.4884 41.5132i −0.503034 1.54818i −0.804051 0.594561i \(-0.797326\pi\)
0.301017 0.953619i \(-0.402674\pi\)
\(720\) 2.59087 + 6.18768i 0.0965558 + 0.230601i
\(721\) −3.66686 + 11.2854i −0.136561 + 0.420291i
\(722\) −37.2147 24.1675i −1.38499 0.899422i
\(723\) 3.56571 + 0.452348i 0.132610 + 0.0168230i
\(724\) 5.17294 + 2.98660i 0.192251 + 0.110996i
\(725\) −8.39599 + 29.9887i −0.311819 + 1.11375i
\(726\) −16.5091 8.86322i −0.612711 0.328945i
\(727\) 4.66047 1.78899i 0.172847 0.0663499i −0.270405 0.962747i \(-0.587158\pi\)
0.443253 + 0.896397i \(0.353824\pi\)
\(728\) 6.88605 + 13.5146i 0.255214 + 0.500886i
\(729\) −26.7764 3.46800i −0.991717 0.128444i
\(730\) −13.2509 14.1209i −0.490439 0.522637i
\(731\) 2.03070 + 1.82845i 0.0751082 + 0.0676277i
\(732\) −1.54811 5.13728i −0.0572197 0.189879i
\(733\) 15.6961 + 24.1699i 0.579750 + 0.892737i 0.999892 0.0147213i \(-0.00468611\pi\)
−0.420141 + 0.907459i \(0.638019\pi\)
\(734\) 19.2896 8.58829i 0.711993 0.317000i
\(735\) −0.00393785 + 4.48220i −0.000145250 + 0.165328i
\(736\) 6.44246 + 2.86837i 0.237472 + 0.105729i
\(737\) 0.314038 + 1.98276i 0.0115677 + 0.0730358i
\(738\) −1.48193 + 1.35985i −0.0545507 + 0.0500568i
\(739\) −22.8304 31.4234i −0.839830 1.15593i −0.986013 0.166670i \(-0.946699\pi\)
0.146182 0.989258i \(-0.453301\pi\)
\(740\) 1.03115 7.50772i 0.0379059 0.275989i
\(741\) −6.38189 + 86.2872i −0.234445 + 3.16984i
\(742\) −2.53702 + 1.64756i −0.0931369 + 0.0604838i
\(743\) −7.06954 26.3839i −0.259356 0.967931i −0.965615 0.259977i \(-0.916285\pi\)
0.706258 0.707954i \(-0.250382\pi\)
\(744\) 7.70436 9.10721i 0.282455 0.333887i
\(745\) −0.186628 9.06355i −0.00683753 0.332063i
\(746\) 30.9064 + 10.0421i 1.13156 + 0.367667i
\(747\) 0.456169 + 48.3910i 0.0166904 + 1.77054i
\(748\) 0.247107 + 0.0391380i 0.00903514 + 0.00143103i
\(749\) −8.26116 14.3087i −0.301856 0.522830i
\(750\) 7.66247 + 17.7844i 0.279794 + 0.649396i
\(751\) 1.45578 2.52149i 0.0531222 0.0920103i −0.838242 0.545299i \(-0.816416\pi\)
0.891364 + 0.453289i \(0.149749\pi\)
\(752\) 6.66199 8.22687i 0.242938 0.300003i
\(753\) −2.58503 0.0555006i −0.0942037 0.00202256i
\(754\) −8.12586 38.2292i −0.295927 1.39222i
\(755\) −0.797601 0.438854i −0.0290277 0.0159715i
\(756\) 4.97008 + 11.5348i 0.180760 + 0.419516i
\(757\) 13.1600 13.1600i 0.478309 0.478309i −0.426282 0.904591i \(-0.640177\pi\)
0.904591 + 0.426282i \(0.140177\pi\)
\(758\) −0.560486 10.6947i −0.0203578 0.388449i
\(759\) −2.26359 4.68872i −0.0821632 0.170190i
\(760\) 16.4836 6.71999i 0.597923 0.243760i
\(761\) 9.51655 1.00023i 0.344975 0.0362583i 0.0695430 0.997579i \(-0.477846\pi\)
0.275432 + 0.961321i \(0.411179\pi\)
\(762\) 2.78288 + 14.6299i 0.100813 + 0.529986i
\(763\) −24.3047 + 19.6815i −0.879888 + 0.712520i
\(764\) 10.2583 7.45312i 0.371134 0.269644i
\(765\) −0.118161 3.93560i −0.00427212 0.142292i
\(766\) 4.16739 + 3.02778i 0.150574 + 0.109398i
\(767\) −13.6025 + 0.712878i −0.491158 + 0.0257405i
\(768\) −0.396397 + 1.68608i −0.0143037 + 0.0608412i
\(769\) 0.799423 3.76099i 0.0288279 0.135625i −0.961380 0.275224i \(-0.911248\pi\)
0.990208 + 0.139599i \(0.0445814\pi\)
\(770\) −2.24318 + 0.525292i −0.0808388 + 0.0189302i
\(771\) 3.36116 + 13.7151i 0.121049 + 0.493938i
\(772\) −3.49492 + 5.38171i −0.125785 + 0.193692i
\(773\) −3.99732 + 25.2381i −0.143774 + 0.907751i 0.805339 + 0.592814i \(0.201983\pi\)
−0.949113 + 0.314936i \(0.898017\pi\)
\(774\) 13.9401 0.862402i 0.501065 0.0309984i
\(775\) 21.9690 26.5176i 0.789151 0.952539i
\(776\) 10.9119 6.29997i 0.391713 0.226156i
\(777\) 1.78570 14.0761i 0.0640616 0.504977i
\(778\) 1.98383 37.8538i 0.0711239 1.35712i
\(779\) 3.57124 + 3.96627i 0.127953 + 0.142106i
\(780\) −18.8736 15.3111i −0.675785 0.548224i
\(781\) −2.09230 + 2.32373i −0.0748683 + 0.0831496i
\(782\) −2.92689 2.92689i −0.104665 0.104665i
\(783\) −4.67754 32.0237i −0.167162 1.14443i
\(784\) −0.680243 + 0.936275i −0.0242944 + 0.0334384i
\(785\) −0.00205545 0.00197251i −7.33621e−5 7.04019e-5i
\(786\) 1.12479 + 8.24319i 0.0401198 + 0.294025i
\(787\) 12.9877 33.8342i 0.462962 1.20606i −0.481210 0.876605i \(-0.659803\pi\)
0.944172 0.329452i \(-0.106864\pi\)
\(788\) −0.752297 + 1.95980i −0.0267995 + 0.0698150i
\(789\) −2.32252 + 1.79958i −0.0826838 + 0.0640669i
\(790\) −17.1634 + 35.4720i −0.610647 + 1.26204i
\(791\) 22.4272 30.8684i 0.797421 1.09756i
\(792\) 1.02740 0.761351i 0.0365072 0.0270534i
\(793\) 13.7451 + 13.7451i 0.488104 + 0.488104i
\(794\) −19.8411 + 22.0358i −0.704135 + 0.782022i
\(795\) 2.64343 4.06270i 0.0937526 0.144089i
\(796\) 1.79480 + 1.99332i 0.0636149 + 0.0706515i
\(797\) −2.11234 + 40.3058i −0.0748229 + 1.42771i 0.660926 + 0.750451i \(0.270164\pi\)
−0.735749 + 0.677255i \(0.763169\pi\)
\(798\) 30.7314 12.8994i 1.08788 0.456634i
\(799\) −5.38100 + 3.10672i −0.190366 + 0.109908i
\(800\) −1.09419 + 4.87881i −0.0386854 + 0.172492i
\(801\) −10.6327 + 7.04833i −0.375688 + 0.249040i
\(802\) −2.35481 + 14.8677i −0.0831513 + 0.524997i
\(803\) −2.01047 + 3.09585i −0.0709479 + 0.109250i
\(804\) 7.83217 + 2.27990i 0.276219 + 0.0804058i
\(805\) 35.1330 + 14.7833i 1.23827 + 0.521041i
\(806\) −8.98536 + 42.2728i −0.316496 + 1.48899i
\(807\) −9.09667 + 2.74126i −0.320218 + 0.0964969i
\(808\) −12.2735 + 0.643227i −0.431780 + 0.0226287i
\(809\) 25.2390 + 18.3372i 0.887356 + 0.644702i 0.935187 0.354154i \(-0.115231\pi\)
−0.0478314 + 0.998855i \(0.515231\pi\)
\(810\) −14.7803 13.6581i −0.519327 0.479896i
\(811\) −3.98326 + 2.89401i −0.139871 + 0.101622i −0.655521 0.755177i \(-0.727551\pi\)
0.515649 + 0.856800i \(0.327551\pi\)
\(812\) −11.6999 + 9.47442i −0.410587 + 0.332487i
\(813\) 23.3703 + 8.15211i 0.819633 + 0.285907i
\(814\) −1.43668 + 0.151002i −0.0503558 + 0.00529260i
\(815\) 4.01302 + 4.75219i 0.140570 + 0.166462i
\(816\) 0.571867 0.840532i 0.0200194 0.0294245i
\(817\) −1.93966 37.0110i −0.0678603 1.29485i
\(818\) −11.4296 + 11.4296i −0.399625 + 0.399625i
\(819\) −35.6312 28.3017i −1.24506 0.988940i
\(820\) −1.48738 + 0.187362i −0.0519415 + 0.00654296i
\(821\) −9.51119 44.7467i −0.331943 1.56167i −0.755098 0.655612i \(-0.772411\pi\)
0.423155 0.906057i \(-0.360922\pi\)
\(822\) 3.02589 4.99045i 0.105540 0.174062i
\(823\) 16.1407 19.9321i 0.562630 0.694791i −0.413863 0.910339i \(-0.635821\pi\)
0.976493 + 0.215549i \(0.0691540\pi\)
\(824\) 2.45457 4.25143i 0.0855089 0.148106i
\(825\) 2.94310 2.22821i 0.102466 0.0775764i
\(826\) 2.62346 + 4.54397i 0.0912819 + 0.158105i
\(827\) 32.3235 + 5.11954i 1.12400 + 0.178024i 0.690641 0.723198i \(-0.257328\pi\)
0.433358 + 0.901222i \(0.357328\pi\)
\(828\) −21.1555 + 0.199427i −0.735205 + 0.00693058i
\(829\) −37.1843 12.0819i −1.29146 0.419622i −0.418860 0.908051i \(-0.637570\pi\)
−0.872604 + 0.488429i \(0.837570\pi\)
\(830\) −20.5963 + 29.6117i −0.714907 + 1.02784i
\(831\) 5.51350 + 15.3395i 0.191261 + 0.532121i
\(832\) −1.62410 6.06123i −0.0563056 0.210135i
\(833\) 0.569688 0.369960i 0.0197385 0.0128183i
\(834\) 12.5028 6.03603i 0.432937 0.209011i
\(835\) 48.9023 + 23.6618i 1.69234 + 0.818850i
\(836\) −1.99452 2.74522i −0.0689819 0.0949454i
\(837\) −9.67779 + 34.4533i −0.334513 + 1.19088i
\(838\) −4.72346 29.8228i −0.163169 1.03021i
\(839\) −5.71907 2.54629i −0.197444 0.0879079i 0.305633 0.952150i \(-0.401132\pi\)
−0.503077 + 0.864242i \(0.667799\pi\)
\(840\) −1.95444 + 9.15536i −0.0674346 + 0.315890i
\(841\) 8.94589 3.98297i 0.308479 0.137344i
\(842\) 2.05412 + 3.16307i 0.0707896 + 0.109006i
\(843\) 11.8149 12.5684i 0.406926 0.432879i
\(844\) 10.9865 + 9.89230i 0.378171 + 0.340507i
\(845\) 57.9303 + 11.0722i 1.99286 + 0.380894i
\(846\) −7.93005 + 30.7520i −0.272641 + 1.05728i
\(847\) −11.8717 23.2995i −0.407917 0.800581i
\(848\) 1.16836 0.448492i 0.0401217 0.0154013i
\(849\) 12.0049 7.43468i 0.412008 0.255158i
\(850\) 1.62580 2.44325i 0.0557645 0.0838029i
\(851\) 20.6982 + 11.9501i 0.709527 + 0.409645i
\(852\) 4.91763 + 11.7157i 0.168475 + 0.401374i
\(853\) −8.45680 5.49191i −0.289555 0.188039i 0.391685 0.920099i \(-0.371892\pi\)
−0.681240 + 0.732060i \(0.738559\pi\)
\(854\) 2.31386 7.12132i 0.0791786 0.243687i
\(855\) −36.6109 + 38.8773i −1.25207 + 1.32958i
\(856\) 2.11226 + 6.50085i 0.0721954 + 0.222195i
\(857\) −10.8969 + 40.6679i −0.372232 + 1.38919i 0.485115 + 0.874450i \(0.338778\pi\)
−0.857347 + 0.514739i \(0.827889\pi\)
\(858\) −1.97474 + 4.19085i −0.0674165 + 0.143073i
\(859\) 8.55969 + 19.2254i 0.292053 + 0.655961i 0.998666 0.0516389i \(-0.0164445\pi\)
−0.706613 + 0.707600i \(0.749778\pi\)
\(860\) 8.84557 + 5.48884i 0.301631 + 0.187168i
\(861\) −2.78110 + 0.379482i −0.0947796 + 0.0129327i
\(862\) 19.0908 + 23.5751i 0.650234 + 0.802972i
\(863\) 18.0071 2.85205i 0.612970 0.0970850i 0.157773 0.987475i \(-0.449569\pi\)
0.455198 + 0.890390i \(0.349569\pi\)
\(864\) −1.01907 5.09524i −0.0346694 0.173344i
\(865\) 11.9229 15.3597i 0.405392 0.522244i
\(866\) −31.4527 3.30581i −1.06881 0.112336i
\(867\) 23.6972 16.4516i 0.804801 0.558727i
\(868\) 16.0802 4.30866i 0.545796 0.146246i
\(869\) 7.34766 + 1.56179i 0.249252 + 0.0529802i
\(870\) 10.9702 21.4835i 0.371924 0.728360i
\(871\) −28.9071 + 6.14440i −0.979480 + 0.208195i
\(872\) 11.5282 5.87391i 0.390394 0.198916i
\(873\) −21.9289 + 30.7888i −0.742182 + 1.04204i
\(874\) 56.1404i 1.89898i
\(875\) −5.36992 + 26.4859i −0.181536 + 0.895386i
\(876\) 7.89753 + 12.7523i 0.266833 + 0.430860i
\(877\) 1.34456 + 1.08880i 0.0454026 + 0.0367663i 0.651753 0.758431i \(-0.274034\pi\)
−0.606351 + 0.795197i \(0.707367\pi\)
\(878\) 15.6891 + 0.822231i 0.529482 + 0.0277490i
\(879\) −7.74846 + 1.89891i −0.261349 + 0.0640486i
\(880\) 0.952925 0.0196217i 0.0321231 0.000661449i
\(881\) 26.5818 8.63694i 0.895562 0.290986i 0.175158 0.984540i \(-0.443956\pi\)
0.720404 + 0.693554i \(0.243956\pi\)
\(882\) 0.689804 3.40268i 0.0232269 0.114574i
\(883\) 1.97070 3.86771i 0.0663192 0.130159i −0.855467 0.517857i \(-0.826730\pi\)
0.921786 + 0.387698i \(0.126730\pi\)
\(884\) −0.384992 + 3.66295i −0.0129487 + 0.123198i
\(885\) −6.79710 4.94751i −0.228482 0.166309i
\(886\) −3.48475 33.1552i −0.117072 1.11387i
\(887\) −40.0979 15.3921i −1.34636 0.516818i −0.424879 0.905250i \(-0.639683\pi\)
−0.921477 + 0.388433i \(0.873017\pi\)
\(888\) −1.93336 + 5.54253i −0.0648794 + 0.185995i
\(889\) −8.45318 + 18.9861i −0.283510 + 0.636775i
\(890\) −9.50347 0.302043i −0.318557 0.0101245i
\(891\) −1.85516 + 3.35787i −0.0621502 + 0.112493i
\(892\) −15.3687 7.83075i −0.514583 0.262193i
\(893\) 81.4010 + 21.8113i 2.72398 + 0.729888i
\(894\) −1.24712 + 6.91046i −0.0417098 + 0.231120i
\(895\) 10.4493 + 44.6224i 0.349283 + 1.49156i
\(896\) −1.79631 + 1.61740i −0.0600104 + 0.0540336i
\(897\) 67.1862 36.8902i 2.24328 1.23173i
\(898\) 1.40320 + 3.65546i 0.0468253 + 0.121984i
\(899\) −42.8957 −1.43065
\(900\) −3.09289 14.6777i −0.103096 0.489256i
\(901\) −0.734557 −0.0244717
\(902\) 0.102412 + 0.266792i 0.00340994 + 0.00888319i
\(903\) 16.6669 + 10.1057i 0.554638 + 0.336297i
\(904\) −11.7307 + 10.5624i −0.390157 + 0.351299i
\(905\) −10.1077 8.73099i −0.335991 0.290228i
\(906\) 0.538363 + 0.455435i 0.0178859 + 0.0151308i
\(907\) −5.06529 1.35724i −0.168190 0.0450664i 0.173741 0.984791i \(-0.444414\pi\)
−0.341931 + 0.939725i \(0.611081\pi\)
\(908\) −5.69028 2.89934i −0.188839 0.0962181i
\(909\) 32.6931 17.0480i 1.08436 0.565448i
\(910\) −9.45076 32.5730i −0.313290 1.07978i
\(911\) −0.101116 + 0.227111i −0.00335013 + 0.00752451i −0.915213 0.402971i \(-0.867978\pi\)
0.911863 + 0.410495i \(0.134644\pi\)
\(912\) −13.5455 + 2.57661i −0.448537 + 0.0853201i
\(913\) 6.41919 + 2.46410i 0.212444 + 0.0815497i
\(914\) −1.55623 14.8066i −0.0514757 0.489758i
\(915\) 1.24360 + 11.9329i 0.0411123 + 0.394491i
\(916\) 2.68583 25.5540i 0.0887423 0.844326i
\(917\) −5.27101 + 10.3449i −0.174064 + 0.341620i
\(918\) −0.513339 + 3.00636i −0.0169427 + 0.0992248i
\(919\) −16.3971 + 5.32774i −0.540890 + 0.175746i −0.566705 0.823921i \(-0.691782\pi\)
0.0258147 + 0.999667i \(0.491782\pi\)
\(920\) −12.9456 9.00424i −0.426803 0.296861i
\(921\) 6.19022 + 6.46186i 0.203975 + 0.212925i
\(922\) 28.1183 + 1.47362i 0.926026 + 0.0485310i
\(923\) −35.7739 28.9691i −1.17751 0.953530i
\(924\) 1.78372 0.0551222i 0.0586800 0.00181339i
\(925\) −5.41631 + 16.0564i −0.178087 + 0.527933i
\(926\) 19.4317i 0.638565i
\(927\) −1.40130 + 14.6606i −0.0460247 + 0.481517i
\(928\) 5.54951 2.82762i 0.182172 0.0928211i
\(929\) 16.6382 3.53655i 0.545881 0.116031i 0.0732869 0.997311i \(-0.476651\pi\)
0.472594 + 0.881280i \(0.343318\pi\)
\(930\) −20.7442 + 16.7682i −0.680229 + 0.549850i
\(931\) −9.01164 1.91548i −0.295345 0.0627774i
\(932\) 20.9590 5.61595i 0.686536 0.183957i
\(933\) −2.05010 24.5680i −0.0671171 0.804319i
\(934\) −5.36722 0.564118i −0.175621 0.0184585i
\(935\) −0.526296 0.189690i −0.0172117 0.00620351i
\(936\) 11.9844 + 14.5176i 0.391723 + 0.474521i
\(937\) 49.4875 7.83805i 1.61669 0.256058i 0.718452 0.695576i \(-0.244851\pi\)
0.898234 + 0.439518i \(0.144851\pi\)
\(938\) 7.16411 + 8.84694i 0.233916 + 0.288863i
\(939\) 13.2703 + 17.1265i 0.433061 + 0.558902i
\(940\) −18.0853 + 15.2722i −0.589877 + 0.498125i
\(941\) −0.718978 1.61485i −0.0234380 0.0526427i 0.901447 0.432889i \(-0.142506\pi\)
−0.924885 + 0.380246i \(0.875839\pi\)
\(942\) 0.00125843 + 0.00181266i 4.10019e−5 + 5.90598e-5i
\(943\) 1.22369 4.56689i 0.0398489 0.148718i
\(944\) −0.670780 2.06445i −0.0218320 0.0671921i
\(945\) −6.07380 27.4203i −0.197581 0.891983i
\(946\) 0.613226 1.88732i 0.0199377 0.0613620i
\(947\) 14.6144 + 9.49069i 0.474903 + 0.308406i 0.759805 0.650151i \(-0.225294\pi\)
−0.284902 + 0.958557i \(0.591961\pi\)
\(948\) 18.4674 24.3035i 0.599794 0.789342i
\(949\) −47.0620 27.1712i −1.52770 0.882016i
\(950\) −39.0240 + 7.83973i −1.26611 + 0.254355i
\(951\) −0.951078 30.7762i −0.0308408 0.997987i
\(952\) 1.32452 0.508436i 0.0429280 0.0164785i
\(953\) 1.33383 + 2.61779i 0.0432071 + 0.0847986i 0.911601 0.411077i \(-0.134847\pi\)
−0.868394 + 0.495876i \(0.834847\pi\)
\(954\) −2.62966 + 2.67971i −0.0851383 + 0.0867587i
\(955\) −25.6592 + 12.0631i −0.830311 + 0.390354i
\(956\) 3.59367 + 3.23575i 0.116228 + 0.104652i
\(957\) −4.47629 1.05237i −0.144698 0.0340184i
\(958\) 5.03024 + 7.74589i 0.162520 + 0.250258i
\(959\) 7.44051 3.31273i 0.240266 0.106974i
\(960\) 1.57839 3.53676i 0.0509424 0.114148i
\(961\) 15.0121 + 6.68383i 0.484263 + 0.215608i
\(962\) −3.32683 21.0048i −0.107261 0.677221i
\(963\) −13.8644 15.1091i −0.446773 0.486883i
\(964\) −1.21975 1.67884i −0.0392855 0.0540719i
\(965\) 9.93506 10.3528i 0.319821 0.333269i
\(966\) −24.4108 16.6082i −0.785405 0.534361i
\(967\) 39.8122 25.8544i 1.28028 0.831420i 0.288262 0.957552i \(-0.406923\pi\)
0.992014 + 0.126131i \(0.0402560\pi\)
\(968\) 2.79998 + 10.4497i 0.0899949 + 0.335866i
\(969\) 7.96443 + 1.43733i 0.255855 + 0.0461736i
\(970\) −26.6105 + 9.25613i −0.854410 + 0.297196i
\(971\) 45.7614 + 14.8688i 1.46855 + 0.477162i 0.930671 0.365857i \(-0.119224\pi\)
0.537883 + 0.843019i \(0.319224\pi\)
\(972\) 9.12967 + 12.6352i 0.292834 + 0.405275i
\(973\) 19.1367 + 3.03096i 0.613495 + 0.0971681i
\(974\) 14.6681 + 25.4059i 0.469996 + 0.814058i
\(975\) 35.0252 + 41.5506i 1.12170 + 1.33068i
\(976\) −1.54888 + 2.68274i −0.0495784 + 0.0858723i
\(977\) −9.38887 + 11.5943i −0.300377 + 0.370934i −0.904879 0.425669i \(-0.860039\pi\)
0.604502 + 0.796603i \(0.293372\pi\)
\(978\) −2.31885 4.22321i −0.0741488 0.135043i
\(979\) 0.376844 + 1.77291i 0.0120440 + 0.0566625i
\(980\) 1.88705 1.77080i 0.0602798 0.0565661i
\(981\) −24.1418 + 30.3940i −0.770787 + 0.970405i
\(982\) −12.7302 + 12.7302i −0.406235 + 0.406235i
\(983\) 0.582485 + 11.1145i 0.0185784 + 0.354497i 0.992063 + 0.125743i \(0.0401316\pi\)
−0.973484 + 0.228753i \(0.926535\pi\)
\(984\) 1.15806 + 0.0856512i 0.0369176 + 0.00273046i
\(985\) 2.47496 3.98853i 0.0788588 0.127085i
\(986\) −3.63570 + 0.382128i −0.115784 + 0.0121694i
\(987\) −33.5651 + 28.9420i −1.06839 + 0.921236i
\(988\) 38.8216 31.4371i 1.23508 1.00015i
\(989\) −26.5615 + 19.2980i −0.844605 + 0.613642i
\(990\) −2.57610 + 1.24088i −0.0818737 + 0.0394378i
\(991\) 0.118768 + 0.0862900i 0.00377279 + 0.00274109i 0.589670 0.807644i \(-0.299258\pi\)
−0.585897 + 0.810385i \(0.699258\pi\)
\(992\) −6.87771 + 0.360446i −0.218368 + 0.0114442i
\(993\) −3.99400 3.75454i −0.126746 0.119147i
\(994\) −3.68665 + 17.3443i −0.116934 + 0.550129i
\(995\) −3.10518 5.13138i −0.0984407 0.162676i
\(996\) 20.1760 19.3278i 0.639300 0.612425i
\(997\) 0.561018 0.863892i 0.0177676 0.0273597i −0.829675 0.558246i \(-0.811474\pi\)
0.847443 + 0.530887i \(0.178141\pi\)
\(998\) 2.97479 18.7821i 0.0941652 0.594536i
\(999\) −1.62976 17.5346i −0.0515635 0.554769i
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 450.2.w.a.23.8 480
9.2 odd 6 inner 450.2.w.a.173.27 yes 480
25.12 odd 20 inner 450.2.w.a.437.27 yes 480
225.137 even 60 inner 450.2.w.a.137.8 yes 480
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
450.2.w.a.23.8 480 1.1 even 1 trivial
450.2.w.a.137.8 yes 480 225.137 even 60 inner
450.2.w.a.173.27 yes 480 9.2 odd 6 inner
450.2.w.a.437.27 yes 480 25.12 odd 20 inner