Properties

Label 430.2.q.c.81.2
Level $430$
Weight $2$
Character 430.81
Analytic conductor $3.434$
Analytic rank $0$
Dimension $48$
CM no
Inner twists $2$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [430,2,Mod(31,430)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(430, base_ring=CyclotomicField(42))
 
chi = DirichletCharacter(H, H._module([0, 34]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("430.31");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 430 = 2 \cdot 5 \cdot 43 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 430.q (of order \(21\), degree \(12\), minimal)

Newform invariants

comment: select newform
 
sage: f = N[0] # Warning: the index may be different
 
gp: f = lf[1] \\ Warning: the index may be different
 
Self dual: no
Analytic conductor: \(3.43356728692\)
Analytic rank: \(0\)
Dimension: \(48\)
Relative dimension: \(4\) over \(\Q(\zeta_{21})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{21}]$

Embedding invariants

Embedding label 81.2
Character \(\chi\) \(=\) 430.81
Dual form 430.2.q.c.361.2

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(0.222521 - 0.974928i) q^{2} +(-1.23079 - 0.379647i) q^{3} +(-0.900969 - 0.433884i) q^{4} +(0.365341 + 0.930874i) q^{5} +(-0.644004 + 1.11545i) q^{6} +(1.26969 + 2.19916i) q^{7} +(-0.623490 + 0.781831i) q^{8} +(-1.10802 - 0.755432i) q^{9} +O(q^{10})\) \(q+(0.222521 - 0.974928i) q^{2} +(-1.23079 - 0.379647i) q^{3} +(-0.900969 - 0.433884i) q^{4} +(0.365341 + 0.930874i) q^{5} +(-0.644004 + 1.11545i) q^{6} +(1.26969 + 2.19916i) q^{7} +(-0.623490 + 0.781831i) q^{8} +(-1.10802 - 0.755432i) q^{9} +(0.988831 - 0.149042i) q^{10} +(3.56146 - 1.71511i) q^{11} +(0.944177 + 0.876068i) q^{12} +(4.90826 + 0.739801i) q^{13} +(2.42655 - 0.748493i) q^{14} +(-0.0962529 - 1.28441i) q^{15} +(0.623490 + 0.781831i) q^{16} +(2.18157 - 5.55856i) q^{17} +(-0.983049 + 0.912136i) q^{18} +(-0.208331 + 0.142038i) q^{19} +(0.0747301 - 0.997204i) q^{20} +(-0.727806 - 3.18873i) q^{21} +(-0.879607 - 3.85381i) q^{22} +(0.224135 - 2.99088i) q^{23} +(1.06420 - 0.725561i) q^{24} +(-0.733052 + 0.680173i) q^{25} +(1.81344 - 4.62058i) q^{26} +(3.48611 + 4.37145i) q^{27} +(-0.189767 - 2.53227i) q^{28} +(-7.51871 + 2.31922i) q^{29} +(-1.27362 - 0.191968i) q^{30} +(5.66401 + 5.25544i) q^{31} +(0.900969 - 0.433884i) q^{32} +(-5.03452 + 0.758832i) q^{33} +(-4.93375 - 3.36377i) q^{34} +(-1.58327 + 1.98536i) q^{35} +(0.670518 + 1.16137i) q^{36} +(4.06894 - 7.04762i) q^{37} +(0.0921186 + 0.234714i) q^{38} +(-5.76015 - 2.77394i) q^{39} +(-0.955573 - 0.294755i) q^{40} +(0.0476591 - 0.208808i) q^{41} -3.27073 q^{42} +(0.105251 - 6.55659i) q^{43} -3.95292 q^{44} +(0.298409 - 1.30741i) q^{45} +(-2.86602 - 0.884049i) q^{46} +(6.56203 + 3.16011i) q^{47} +(-0.470562 - 1.19897i) q^{48} +(0.275797 - 0.477695i) q^{49} +(0.500000 + 0.866025i) q^{50} +(-4.79534 + 6.01317i) q^{51} +(-4.10120 - 2.79615i) q^{52} +(10.3831 - 1.56500i) q^{53} +(5.03758 - 2.42597i) q^{54} +(2.89769 + 2.68867i) q^{55} +(-2.51101 - 0.378474i) q^{56} +(0.310335 - 0.0957257i) q^{57} +(0.587997 + 7.84628i) q^{58} +(2.30594 + 2.89155i) q^{59} +(-0.470562 + 1.19897i) q^{60} +(-9.59261 + 8.90064i) q^{61} +(6.38403 - 4.35256i) q^{62} +(0.254485 - 3.39587i) q^{63} +(-0.222521 - 0.974928i) q^{64} +(1.10453 + 4.83925i) q^{65} +(-0.380480 + 5.07715i) q^{66} +(-8.22517 + 5.60783i) q^{67} +(-4.37730 + 4.06154i) q^{68} +(-1.41134 + 3.59604i) q^{69} +(1.58327 + 1.98536i) q^{70} +(0.581176 + 7.75526i) q^{71} +(1.28146 - 0.395277i) q^{72} +(-8.74793 - 1.31854i) q^{73} +(-5.96550 - 5.53517i) q^{74} +(1.16046 - 0.558846i) q^{75} +(0.249328 - 0.0375801i) q^{76} +(8.29372 + 5.65456i) q^{77} +(-3.98615 + 4.99847i) q^{78} +(2.83745 + 4.91460i) q^{79} +(-0.500000 + 0.866025i) q^{80} +(-1.16124 - 2.95880i) q^{81} +(-0.192968 - 0.0929284i) q^{82} +(2.66511 + 0.822078i) q^{83} +(-0.727806 + 3.18873i) q^{84} +5.97134 q^{85} +(-6.36879 - 1.56159i) q^{86} +10.1344 q^{87} +(-0.879607 + 3.85381i) q^{88} +(-16.7107 - 5.15458i) q^{89} +(-1.20823 - 0.581854i) q^{90} +(4.60501 + 11.7334i) q^{91} +(-1.49963 + 2.59744i) q^{92} +(-4.97597 - 8.61864i) q^{93} +(4.54107 - 5.69432i) q^{94} +(-0.208331 - 0.142038i) q^{95} +(-1.27362 + 0.191968i) q^{96} +(9.12818 - 4.39590i) q^{97} +(-0.404348 - 0.375180i) q^{98} +(-5.24180 - 0.790074i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 48 q + 8 q^{2} - 7 q^{3} - 8 q^{4} + 4 q^{5} + 7 q^{6} - 3 q^{7} + 8 q^{8} + 13 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 48 q + 8 q^{2} - 7 q^{3} - 8 q^{4} + 4 q^{5} + 7 q^{6} - 3 q^{7} + 8 q^{8} + 13 q^{9} - 4 q^{10} + q^{11} + 14 q^{12} - 23 q^{13} + 24 q^{14} - 8 q^{16} + 8 q^{17} - 20 q^{18} - 3 q^{19} + 4 q^{20} - 8 q^{21} - q^{22} + 7 q^{23} + 4 q^{25} - 19 q^{26} + 32 q^{27} + 4 q^{28} + 30 q^{29} + 9 q^{31} + 8 q^{32} + 39 q^{33} - 8 q^{34} - 22 q^{35} - 29 q^{36} - 37 q^{37} - 11 q^{38} - 52 q^{39} - 4 q^{40} - 28 q^{41} - 6 q^{42} + 41 q^{43} + 8 q^{44} + 2 q^{45} - 28 q^{46} + 3 q^{47} - 41 q^{49} + 24 q^{50} - 30 q^{51} - 9 q^{52} - 69 q^{53} + 3 q^{54} + 10 q^{55} - 11 q^{56} + 116 q^{57} + 5 q^{58} + 10 q^{59} - 19 q^{61} - 93 q^{62} + 34 q^{63} - 8 q^{64} - 3 q^{65} - 18 q^{66} + 3 q^{67} + 8 q^{68} + 42 q^{69} + 22 q^{70} - 36 q^{71} + 22 q^{72} - 56 q^{73} + 9 q^{74} - 10 q^{76} + 3 q^{77} + 45 q^{78} + 16 q^{79} - 24 q^{80} - 19 q^{81} + 14 q^{82} + 64 q^{83} - 8 q^{84} - 30 q^{85} + 36 q^{86} + 78 q^{87} - q^{88} - 75 q^{89} + 5 q^{90} + 5 q^{91} + 14 q^{92} - 10 q^{93} - 45 q^{94} - 3 q^{95} + 33 q^{97} - q^{98} - 11 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/430\mathbb{Z}\right)^\times\).

\(n\) \(87\) \(261\)
\(\chi(n)\) \(1\) \(e\left(\frac{2}{21}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.222521 0.974928i 0.157346 0.689378i
\(3\) −1.23079 0.379647i −0.710594 0.219189i −0.0816740 0.996659i \(-0.526027\pi\)
−0.628920 + 0.777470i \(0.716503\pi\)
\(4\) −0.900969 0.433884i −0.450484 0.216942i
\(5\) 0.365341 + 0.930874i 0.163385 + 0.416299i
\(6\) −0.644004 + 1.11545i −0.262914 + 0.455380i
\(7\) 1.26969 + 2.19916i 0.479896 + 0.831204i 0.999734 0.0230605i \(-0.00734105\pi\)
−0.519838 + 0.854265i \(0.674008\pi\)
\(8\) −0.623490 + 0.781831i −0.220437 + 0.276419i
\(9\) −1.10802 0.755432i −0.369339 0.251811i
\(10\) 0.988831 0.149042i 0.312696 0.0471313i
\(11\) 3.56146 1.71511i 1.07382 0.517124i 0.188484 0.982076i \(-0.439643\pi\)
0.885336 + 0.464952i \(0.153928\pi\)
\(12\) 0.944177 + 0.876068i 0.272560 + 0.252899i
\(13\) 4.90826 + 0.739801i 1.36131 + 0.205184i 0.788767 0.614693i \(-0.210720\pi\)
0.572540 + 0.819877i \(0.305958\pi\)
\(14\) 2.42655 0.748493i 0.648524 0.200043i
\(15\) −0.0962529 1.28441i −0.0248524 0.331632i
\(16\) 0.623490 + 0.781831i 0.155872 + 0.195458i
\(17\) 2.18157 5.55856i 0.529109 1.34815i −0.377434 0.926036i \(-0.623194\pi\)
0.906544 0.422112i \(-0.138711\pi\)
\(18\) −0.983049 + 0.912136i −0.231707 + 0.214992i
\(19\) −0.208331 + 0.142038i −0.0477945 + 0.0325857i −0.586982 0.809600i \(-0.699684\pi\)
0.539187 + 0.842186i \(0.318732\pi\)
\(20\) 0.0747301 0.997204i 0.0167102 0.222982i
\(21\) −0.727806 3.18873i −0.158820 0.695837i
\(22\) −0.879607 3.85381i −0.187533 0.821635i
\(23\) 0.224135 2.99088i 0.0467355 0.623641i −0.923830 0.382803i \(-0.874959\pi\)
0.970565 0.240838i \(-0.0774223\pi\)
\(24\) 1.06420 0.725561i 0.217229 0.148104i
\(25\) −0.733052 + 0.680173i −0.146610 + 0.136035i
\(26\) 1.81344 4.62058i 0.355646 0.906170i
\(27\) 3.48611 + 4.37145i 0.670902 + 0.841285i
\(28\) −0.189767 2.53227i −0.0358627 0.478554i
\(29\) −7.51871 + 2.31922i −1.39619 + 0.430668i −0.899371 0.437187i \(-0.855975\pi\)
−0.496819 + 0.867854i \(0.665499\pi\)
\(30\) −1.27362 0.191968i −0.232530 0.0350483i
\(31\) 5.66401 + 5.25544i 1.01729 + 0.943904i 0.998435 0.0559182i \(-0.0178086\pi\)
0.0188513 + 0.999822i \(0.493999\pi\)
\(32\) 0.900969 0.433884i 0.159270 0.0767005i
\(33\) −5.03452 + 0.758832i −0.876398 + 0.132096i
\(34\) −4.93375 3.36377i −0.846131 0.576882i
\(35\) −1.58327 + 1.98536i −0.267622 + 0.335587i
\(36\) 0.670518 + 1.16137i 0.111753 + 0.193562i
\(37\) 4.06894 7.04762i 0.668930 1.15862i −0.309273 0.950973i \(-0.600086\pi\)
0.978204 0.207648i \(-0.0665809\pi\)
\(38\) 0.0921186 + 0.234714i 0.0149436 + 0.0380757i
\(39\) −5.76015 2.77394i −0.922363 0.444186i
\(40\) −0.955573 0.294755i −0.151089 0.0466049i
\(41\) 0.0476591 0.208808i 0.00744310 0.0326104i −0.971070 0.238795i \(-0.923248\pi\)
0.978513 + 0.206185i \(0.0661048\pi\)
\(42\) −3.27073 −0.504685
\(43\) 0.105251 6.55659i 0.0160506 0.999871i
\(44\) −3.95292 −0.595925
\(45\) 0.298409 1.30741i 0.0444841 0.194898i
\(46\) −2.86602 0.884049i −0.422571 0.130346i
\(47\) 6.56203 + 3.16011i 0.957170 + 0.460949i 0.846195 0.532874i \(-0.178888\pi\)
0.110976 + 0.993823i \(0.464602\pi\)
\(48\) −0.470562 1.19897i −0.0679198 0.173057i
\(49\) 0.275797 0.477695i 0.0393996 0.0682421i
\(50\) 0.500000 + 0.866025i 0.0707107 + 0.122474i
\(51\) −4.79534 + 6.01317i −0.671482 + 0.842012i
\(52\) −4.10120 2.79615i −0.568735 0.387757i
\(53\) 10.3831 1.56500i 1.42623 0.214969i 0.609864 0.792506i \(-0.291224\pi\)
0.816365 + 0.577537i \(0.195986\pi\)
\(54\) 5.03758 2.42597i 0.685527 0.330133i
\(55\) 2.89769 + 2.68867i 0.390725 + 0.362540i
\(56\) −2.51101 0.378474i −0.335548 0.0505757i
\(57\) 0.310335 0.0957257i 0.0411049 0.0126792i
\(58\) 0.587997 + 7.84628i 0.0772078 + 1.03027i
\(59\) 2.30594 + 2.89155i 0.300208 + 0.376448i 0.908940 0.416927i \(-0.136893\pi\)
−0.608732 + 0.793376i \(0.708322\pi\)
\(60\) −0.470562 + 1.19897i −0.0607493 + 0.154787i
\(61\) −9.59261 + 8.90064i −1.22821 + 1.13961i −0.242678 + 0.970107i \(0.578026\pi\)
−0.985530 + 0.169504i \(0.945784\pi\)
\(62\) 6.38403 4.35256i 0.810773 0.552776i
\(63\) 0.254485 3.39587i 0.0320621 0.427839i
\(64\) −0.222521 0.974928i −0.0278151 0.121866i
\(65\) 1.10453 + 4.83925i 0.137000 + 0.600235i
\(66\) −0.380480 + 5.07715i −0.0468339 + 0.624954i
\(67\) −8.22517 + 5.60783i −1.00486 + 0.685105i −0.949632 0.313368i \(-0.898543\pi\)
−0.0552330 + 0.998473i \(0.517590\pi\)
\(68\) −4.37730 + 4.06154i −0.530825 + 0.492534i
\(69\) −1.41134 + 3.59604i −0.169905 + 0.432912i
\(70\) 1.58327 + 1.98536i 0.189237 + 0.237296i
\(71\) 0.581176 + 7.75526i 0.0689729 + 0.920380i 0.919156 + 0.393893i \(0.128872\pi\)
−0.850183 + 0.526487i \(0.823509\pi\)
\(72\) 1.28146 0.395277i 0.151021 0.0465839i
\(73\) −8.74793 1.31854i −1.02387 0.154323i −0.384420 0.923158i \(-0.625599\pi\)
−0.639447 + 0.768835i \(0.720837\pi\)
\(74\) −5.96550 5.53517i −0.693475 0.643451i
\(75\) 1.16046 0.558846i 0.133998 0.0645299i
\(76\) 0.249328 0.0375801i 0.0285999 0.00431074i
\(77\) 8.29372 + 5.65456i 0.945157 + 0.644397i
\(78\) −3.98615 + 4.99847i −0.451343 + 0.565966i
\(79\) 2.83745 + 4.91460i 0.319238 + 0.552936i 0.980329 0.197370i \(-0.0632399\pi\)
−0.661092 + 0.750305i \(0.729907\pi\)
\(80\) −0.500000 + 0.866025i −0.0559017 + 0.0968246i
\(81\) −1.16124 2.95880i −0.129027 0.328755i
\(82\) −0.192968 0.0929284i −0.0213097 0.0102622i
\(83\) 2.66511 + 0.822078i 0.292534 + 0.0902348i 0.437549 0.899195i \(-0.355847\pi\)
−0.145015 + 0.989430i \(0.546323\pi\)
\(84\) −0.727806 + 3.18873i −0.0794101 + 0.347919i
\(85\) 5.97134 0.647682
\(86\) −6.36879 1.56159i −0.686764 0.168391i
\(87\) 10.1344 1.08652
\(88\) −0.879607 + 3.85381i −0.0937664 + 0.410818i
\(89\) −16.7107 5.15458i −1.77134 0.546385i −0.775004 0.631956i \(-0.782252\pi\)
−0.996332 + 0.0855716i \(0.972728\pi\)
\(90\) −1.20823 0.581854i −0.127359 0.0613328i
\(91\) 4.60501 + 11.7334i 0.482736 + 1.22999i
\(92\) −1.49963 + 2.59744i −0.156348 + 0.270802i
\(93\) −4.97597 8.61864i −0.515984 0.893711i
\(94\) 4.54107 5.69432i 0.468375 0.587324i
\(95\) −0.208331 0.142038i −0.0213743 0.0145728i
\(96\) −1.27362 + 0.191968i −0.129988 + 0.0195926i
\(97\) 9.12818 4.39590i 0.926827 0.446336i 0.0913231 0.995821i \(-0.470890\pi\)
0.835504 + 0.549485i \(0.185176\pi\)
\(98\) −0.404348 0.375180i −0.0408453 0.0378989i
\(99\) −5.24180 0.790074i −0.526820 0.0794054i
\(100\) 0.955573 0.294755i 0.0955573 0.0294755i
\(101\) −0.780740 10.4183i −0.0776866 1.03666i −0.890754 0.454486i \(-0.849823\pi\)
0.813067 0.582169i \(-0.197796\pi\)
\(102\) 4.79534 + 6.01317i 0.474809 + 0.595392i
\(103\) −6.53021 + 16.6387i −0.643441 + 1.63946i 0.119378 + 0.992849i \(0.461910\pi\)
−0.762819 + 0.646612i \(0.776185\pi\)
\(104\) −3.63865 + 3.37618i −0.356799 + 0.331061i
\(105\) 2.70240 1.84247i 0.263728 0.179806i
\(106\) 0.784695 10.4710i 0.0762163 1.01704i
\(107\) 0.145163 + 0.636002i 0.0140335 + 0.0614846i 0.981460 0.191668i \(-0.0613897\pi\)
−0.967426 + 0.253153i \(0.918533\pi\)
\(108\) −1.24418 5.45110i −0.119721 0.524533i
\(109\) −0.164174 + 2.19075i −0.0157250 + 0.209836i 0.983807 + 0.179233i \(0.0573617\pi\)
−0.999532 + 0.0306026i \(0.990257\pi\)
\(110\) 3.26605 2.22676i 0.311406 0.212313i
\(111\) −7.68360 + 7.12934i −0.729296 + 0.676687i
\(112\) −0.927736 + 2.36383i −0.0876629 + 0.223361i
\(113\) −7.31375 9.17115i −0.688019 0.862749i 0.308046 0.951371i \(-0.400325\pi\)
−0.996065 + 0.0886225i \(0.971754\pi\)
\(114\) −0.0242696 0.323855i −0.00227306 0.0303318i
\(115\) 2.86602 0.884049i 0.267257 0.0824380i
\(116\) 7.78040 + 1.17271i 0.722392 + 0.108883i
\(117\) −4.87956 4.52757i −0.451116 0.418574i
\(118\) 3.33218 1.60469i 0.306752 0.147724i
\(119\) 14.9941 2.25999i 1.37450 0.207173i
\(120\) 1.06420 + 0.725561i 0.0971479 + 0.0662343i
\(121\) 2.88399 3.61641i 0.262181 0.328764i
\(122\) 6.54293 + 11.3327i 0.592369 + 1.02601i
\(123\) −0.137931 + 0.238904i −0.0124369 + 0.0215413i
\(124\) −2.82285 7.19251i −0.253499 0.645906i
\(125\) −0.900969 0.433884i −0.0805851 0.0388077i
\(126\) −3.25410 1.00376i −0.289898 0.0894216i
\(127\) −3.92027 + 17.1758i −0.347867 + 1.52411i 0.434145 + 0.900843i \(0.357051\pi\)
−0.782012 + 0.623263i \(0.785806\pi\)
\(128\) −1.00000 −0.0883883
\(129\) −2.61873 + 8.02980i −0.230567 + 0.706985i
\(130\) 4.96370 0.435346
\(131\) 4.45547 19.5207i 0.389277 1.70553i −0.277881 0.960616i \(-0.589632\pi\)
0.667157 0.744917i \(-0.267511\pi\)
\(132\) 4.86519 + 1.50071i 0.423461 + 0.130620i
\(133\) −0.576879 0.277810i −0.0500217 0.0240892i
\(134\) 3.63695 + 9.26681i 0.314185 + 0.800530i
\(135\) −2.79564 + 4.84220i −0.240611 + 0.416750i
\(136\) 2.98567 + 5.17133i 0.256019 + 0.443438i
\(137\) −4.21755 + 5.28864i −0.360329 + 0.451839i −0.928644 0.370973i \(-0.879024\pi\)
0.568314 + 0.822811i \(0.307596\pi\)
\(138\) 3.19183 + 2.17615i 0.271706 + 0.185246i
\(139\) −9.85180 + 1.48492i −0.835618 + 0.125949i −0.552894 0.833252i \(-0.686476\pi\)
−0.282725 + 0.959201i \(0.591238\pi\)
\(140\) 2.28789 1.10179i 0.193362 0.0931184i
\(141\) −6.87673 6.38067i −0.579125 0.537349i
\(142\) 7.69014 + 1.15910i 0.645342 + 0.0972697i
\(143\) 18.7494 5.78342i 1.56790 0.483634i
\(144\) −0.100216 1.33729i −0.00835131 0.111440i
\(145\) −4.90579 6.15167i −0.407404 0.510868i
\(146\) −3.23208 + 8.23520i −0.267489 + 0.681550i
\(147\) −0.520803 + 0.483234i −0.0429551 + 0.0398565i
\(148\) −6.72384 + 4.58424i −0.552696 + 0.376822i
\(149\) 0.00670867 0.0895210i 0.000549596 0.00733384i −0.996922 0.0783965i \(-0.975020\pi\)
0.997472 + 0.0710627i \(0.0226390\pi\)
\(150\) −0.286609 1.25571i −0.0234015 0.102529i
\(151\) 0.409829 + 1.79558i 0.0333515 + 0.146122i 0.988862 0.148834i \(-0.0475520\pi\)
−0.955511 + 0.294956i \(0.904695\pi\)
\(152\) 0.0188427 0.251439i 0.00152835 0.0203944i
\(153\) −6.61633 + 4.51094i −0.534899 + 0.364688i
\(154\) 7.35832 6.82752i 0.592950 0.550178i
\(155\) −2.82285 + 7.19251i −0.226737 + 0.577716i
\(156\) 3.98615 + 4.99847i 0.319147 + 0.400198i
\(157\) −0.508107 6.78022i −0.0405514 0.541121i −0.980074 0.198633i \(-0.936350\pi\)
0.939522 0.342487i \(-0.111269\pi\)
\(158\) 5.42277 1.67270i 0.431412 0.133073i
\(159\) −13.3735 2.01573i −1.06059 0.159858i
\(160\) 0.733052 + 0.680173i 0.0579528 + 0.0537724i
\(161\) 6.86200 3.30457i 0.540802 0.260436i
\(162\) −3.14301 + 0.473733i −0.246939 + 0.0372200i
\(163\) −10.2733 7.00423i −0.804668 0.548614i 0.0896874 0.995970i \(-0.471413\pi\)
−0.894356 + 0.447356i \(0.852366\pi\)
\(164\) −0.133538 + 0.167451i −0.0104276 + 0.0130757i
\(165\) −2.54569 4.40927i −0.198182 0.343261i
\(166\) 1.39451 2.41536i 0.108235 0.187468i
\(167\) −7.39661 18.8462i −0.572367 1.45837i −0.864818 0.502086i \(-0.832566\pi\)
0.292451 0.956280i \(-0.405529\pi\)
\(168\) 2.94683 + 1.41912i 0.227353 + 0.109487i
\(169\) 11.1213 + 3.43046i 0.855483 + 0.263882i
\(170\) 1.32875 5.82162i 0.101910 0.446498i
\(171\) 0.338134 0.0258578
\(172\) −2.93963 + 5.86162i −0.224144 + 0.446944i
\(173\) 1.35717 0.103183 0.0515917 0.998668i \(-0.483571\pi\)
0.0515917 + 0.998668i \(0.483571\pi\)
\(174\) 2.25512 9.88031i 0.170960 0.749025i
\(175\) −2.42655 0.748493i −0.183430 0.0565807i
\(176\) 3.56146 + 1.71511i 0.268455 + 0.129281i
\(177\) −1.74034 4.43433i −0.130812 0.333304i
\(178\) −8.74384 + 15.1448i −0.655378 + 1.13515i
\(179\) −2.00082 3.46552i −0.149548 0.259025i 0.781512 0.623890i \(-0.214449\pi\)
−0.931061 + 0.364865i \(0.881115\pi\)
\(180\) −0.836122 + 1.04846i −0.0623209 + 0.0781479i
\(181\) −9.59263 6.54014i −0.713014 0.486125i 0.151676 0.988430i \(-0.451533\pi\)
−0.864690 + 0.502305i \(0.832485\pi\)
\(182\) 12.4639 1.87863i 0.923886 0.139253i
\(183\) 15.1855 7.31297i 1.12255 0.540591i
\(184\) 2.19862 + 2.04002i 0.162084 + 0.150392i
\(185\) 8.04700 + 1.21289i 0.591627 + 0.0891734i
\(186\) −9.50981 + 2.93339i −0.697293 + 0.215086i
\(187\) −1.76394 23.5382i −0.128992 1.72128i
\(188\) −4.54107 5.69432i −0.331191 0.415301i
\(189\) −5.18724 + 13.2169i −0.377316 + 0.961386i
\(190\) −0.184835 + 0.171502i −0.0134093 + 0.0124420i
\(191\) −3.28676 + 2.24088i −0.237822 + 0.162144i −0.676367 0.736565i \(-0.736446\pi\)
0.438545 + 0.898709i \(0.355494\pi\)
\(192\) −0.0962529 + 1.28441i −0.00694646 + 0.0926940i
\(193\) 4.32685 + 18.9572i 0.311453 + 1.36457i 0.852128 + 0.523334i \(0.175312\pi\)
−0.540674 + 0.841232i \(0.681831\pi\)
\(194\) −2.25448 9.87750i −0.161862 0.709163i
\(195\) 0.477771 6.37541i 0.0342139 0.456553i
\(196\) −0.455749 + 0.310724i −0.0325535 + 0.0221946i
\(197\) 4.53962 4.21215i 0.323434 0.300103i −0.501698 0.865043i \(-0.667291\pi\)
0.825132 + 0.564940i \(0.191101\pi\)
\(198\) −1.93667 + 4.93457i −0.137633 + 0.350684i
\(199\) 6.23746 + 7.82152i 0.442162 + 0.554453i 0.952112 0.305751i \(-0.0989075\pi\)
−0.509950 + 0.860204i \(0.670336\pi\)
\(200\) −0.0747301 0.997204i −0.00528422 0.0705130i
\(201\) 12.2524 3.77937i 0.864219 0.266576i
\(202\) −10.3308 1.55711i −0.726871 0.109558i
\(203\) −14.6467 13.5902i −1.02800 0.953843i
\(204\) 6.92947 3.33705i 0.485160 0.233641i
\(205\) 0.211786 0.0319216i 0.0147918 0.00222950i
\(206\) 14.7684 + 10.0689i 1.02897 + 0.701537i
\(207\) −2.50775 + 3.14462i −0.174301 + 0.218566i
\(208\) 2.48185 + 4.29869i 0.172085 + 0.298061i
\(209\) −0.498352 + 0.863172i −0.0344718 + 0.0597068i
\(210\) −1.19493 3.04464i −0.0824581 0.210100i
\(211\) −11.1707 5.37952i −0.769021 0.370341i 0.00787559 0.999969i \(-0.497493\pi\)
−0.776897 + 0.629628i \(0.783207\pi\)
\(212\) −10.0339 3.09504i −0.689130 0.212568i
\(213\) 2.22896 9.76570i 0.152726 0.669135i
\(214\) 0.652358 0.0445942
\(215\) 6.14181 2.29742i 0.418868 0.156683i
\(216\) −5.59129 −0.380439
\(217\) −4.36603 + 19.1288i −0.296385 + 1.29855i
\(218\) 2.09929 + 0.647546i 0.142182 + 0.0438573i
\(219\) 10.2662 + 4.94396i 0.693729 + 0.334082i
\(220\) −1.44416 3.67967i −0.0973655 0.248083i
\(221\) 14.8200 25.6689i 0.996899 1.72668i
\(222\) 5.24083 + 9.07739i 0.351742 + 0.609234i
\(223\) −1.96876 + 2.46875i −0.131838 + 0.165320i −0.843369 0.537335i \(-0.819431\pi\)
0.711531 + 0.702655i \(0.248002\pi\)
\(224\) 2.09813 + 1.43048i 0.140187 + 0.0955779i
\(225\) 1.32606 0.199871i 0.0884038 0.0133247i
\(226\) −10.5687 + 5.08960i −0.703017 + 0.338555i
\(227\) 15.6082 + 14.4823i 1.03596 + 0.961226i 0.999274 0.0381012i \(-0.0121309\pi\)
0.0366812 + 0.999327i \(0.488321\pi\)
\(228\) −0.321136 0.0484035i −0.0212678 0.00320560i
\(229\) −12.0557 + 3.71868i −0.796661 + 0.245737i −0.666256 0.745723i \(-0.732104\pi\)
−0.130406 + 0.991461i \(0.541628\pi\)
\(230\) −0.224135 2.99088i −0.0147791 0.197213i
\(231\) −8.06105 10.1082i −0.530378 0.665074i
\(232\) 2.87460 7.32437i 0.188727 0.480869i
\(233\) −7.99981 + 7.42274i −0.524085 + 0.486280i −0.897273 0.441476i \(-0.854455\pi\)
0.373188 + 0.927756i \(0.378265\pi\)
\(234\) −5.49986 + 3.74974i −0.359537 + 0.245128i
\(235\) −0.544282 + 7.26294i −0.0355050 + 0.473782i
\(236\) −0.822980 3.60571i −0.0535714 0.234712i
\(237\) −1.62647 7.12604i −0.105651 0.462886i
\(238\) 1.13316 15.1210i 0.0734522 0.980151i
\(239\) −15.9829 + 10.8970i −1.03385 + 0.704866i −0.956379 0.292128i \(-0.905637\pi\)
−0.0774698 + 0.996995i \(0.524684\pi\)
\(240\) 0.944177 0.876068i 0.0609463 0.0565499i
\(241\) 7.40106 18.8576i 0.476744 1.21472i −0.467062 0.884225i \(-0.654687\pi\)
0.943806 0.330500i \(-0.107217\pi\)
\(242\) −2.88399 3.61641i −0.185390 0.232472i
\(243\) −0.947571 12.6445i −0.0607867 0.811142i
\(244\) 12.5045 3.85712i 0.800518 0.246927i
\(245\) 0.545434 + 0.0822109i 0.0348465 + 0.00525226i
\(246\) 0.202222 + 0.187634i 0.0128932 + 0.0119631i
\(247\) −1.12762 + 0.543035i −0.0717490 + 0.0345525i
\(248\) −7.64032 + 1.15159i −0.485161 + 0.0731262i
\(249\) −2.96808 2.02360i −0.188094 0.128241i
\(250\) −0.623490 + 0.781831i −0.0394330 + 0.0494474i
\(251\) −4.18511 7.24882i −0.264162 0.457542i 0.703182 0.711010i \(-0.251762\pi\)
−0.967344 + 0.253468i \(0.918429\pi\)
\(252\) −1.70269 + 2.94915i −0.107260 + 0.185779i
\(253\) −4.33143 11.0363i −0.272315 0.693846i
\(254\) 15.8728 + 7.64395i 0.995950 + 0.479624i
\(255\) −7.34943 2.26700i −0.460239 0.141965i
\(256\) −0.222521 + 0.974928i −0.0139076 + 0.0609330i
\(257\) 1.24322 0.0775501 0.0387751 0.999248i \(-0.487654\pi\)
0.0387751 + 0.999248i \(0.487654\pi\)
\(258\) 7.24575 + 4.33987i 0.451101 + 0.270189i
\(259\) 20.6651 1.28407
\(260\) 1.10453 4.83925i 0.0684999 0.300118i
\(261\) 10.0829 + 3.11015i 0.624113 + 0.192514i
\(262\) −18.0398 8.68753i −1.11451 0.536718i
\(263\) 3.84138 + 9.78768i 0.236870 + 0.603534i 0.999038 0.0438444i \(-0.0139606\pi\)
−0.762169 + 0.647378i \(0.775865\pi\)
\(264\) 2.54569 4.40927i 0.156677 0.271372i
\(265\) 5.25019 + 9.09360i 0.322517 + 0.558615i
\(266\) −0.399213 + 0.500597i −0.0244773 + 0.0306936i
\(267\) 18.6104 + 12.6884i 1.13894 + 0.776516i
\(268\) 9.84377 1.48371i 0.601304 0.0906320i
\(269\) 14.6368 7.04870i 0.892420 0.429767i 0.0692746 0.997598i \(-0.477932\pi\)
0.823145 + 0.567831i \(0.192217\pi\)
\(270\) 4.09870 + 3.80304i 0.249439 + 0.231446i
\(271\) −16.9802 2.55936i −1.03147 0.155470i −0.388573 0.921418i \(-0.627032\pi\)
−0.642902 + 0.765948i \(0.722270\pi\)
\(272\) 5.70605 1.76008i 0.345980 0.106721i
\(273\) −1.21324 16.1895i −0.0734285 0.979835i
\(274\) 4.21755 + 5.28864i 0.254791 + 0.319498i
\(275\) −1.44416 + 3.67967i −0.0870863 + 0.221892i
\(276\) 2.83184 2.62756i 0.170457 0.158161i
\(277\) −13.6440 + 9.30229i −0.819786 + 0.558921i −0.899006 0.437937i \(-0.855709\pi\)
0.0792200 + 0.996857i \(0.474757\pi\)
\(278\) −0.744542 + 9.93522i −0.0446546 + 0.595875i
\(279\) −2.30569 10.1019i −0.138038 0.604784i
\(280\) −0.565063 2.47570i −0.0337690 0.147952i
\(281\) −1.54604 + 20.6305i −0.0922293 + 1.23071i 0.738583 + 0.674162i \(0.235495\pi\)
−0.830813 + 0.556552i \(0.812124\pi\)
\(282\) −7.75091 + 5.28448i −0.461560 + 0.314686i
\(283\) −3.56388 + 3.30680i −0.211851 + 0.196569i −0.778960 0.627074i \(-0.784252\pi\)
0.567109 + 0.823643i \(0.308062\pi\)
\(284\) 2.84126 7.23941i 0.168598 0.429580i
\(285\) 0.202487 + 0.253910i 0.0119943 + 0.0150404i
\(286\) −1.46629 19.5662i −0.0867034 1.15698i
\(287\) 0.519715 0.160311i 0.0306778 0.00946284i
\(288\) −1.32606 0.199871i −0.0781387 0.0117775i
\(289\) −13.6764 12.6899i −0.804496 0.746463i
\(290\) −7.08907 + 3.41392i −0.416285 + 0.200472i
\(291\) −12.9037 + 1.94492i −0.756430 + 0.114013i
\(292\) 7.30952 + 4.98355i 0.427757 + 0.291640i
\(293\) 15.2415 19.1123i 0.890419 1.11655i −0.102139 0.994770i \(-0.532568\pi\)
0.992557 0.121779i \(-0.0388601\pi\)
\(294\) 0.355229 + 0.615275i 0.0207174 + 0.0358836i
\(295\) −1.84922 + 3.20294i −0.107666 + 0.186482i
\(296\) 2.97310 + 7.57535i 0.172808 + 0.440308i
\(297\) 19.9131 + 9.58966i 1.15548 + 0.556448i
\(298\) −0.0857837 0.0264608i −0.00496932 0.00153283i
\(299\) 3.31277 14.5142i 0.191583 0.839378i
\(300\) −1.28801 −0.0743632
\(301\) 14.5526 8.09335i 0.838800 0.466493i
\(302\) 1.84176 0.105981
\(303\) −2.99434 + 13.1190i −0.172020 + 0.753669i
\(304\) −0.240942 0.0743208i −0.0138190 0.00426259i
\(305\) −11.7899 5.67774i −0.675090 0.325106i
\(306\) 2.92557 + 7.45423i 0.167244 + 0.426130i
\(307\) 8.98964 15.5705i 0.513066 0.888656i −0.486819 0.873503i \(-0.661843\pi\)
0.999885 0.0151536i \(-0.00482372\pi\)
\(308\) −5.01896 8.69310i −0.285982 0.495335i
\(309\) 14.3541 17.9995i 0.816578 1.02396i
\(310\) 6.38403 + 4.35256i 0.362589 + 0.247209i
\(311\) 20.6902 3.11855i 1.17324 0.176837i 0.466636 0.884450i \(-0.345466\pi\)
0.706600 + 0.707613i \(0.250228\pi\)
\(312\) 5.76015 2.77394i 0.326104 0.157044i
\(313\) 18.8680 + 17.5069i 1.06648 + 0.989551i 0.999966 0.00823452i \(-0.00262116\pi\)
0.0665161 + 0.997785i \(0.478812\pi\)
\(314\) −6.72329 1.01337i −0.379417 0.0571880i
\(315\) 3.25410 1.00376i 0.183348 0.0565552i
\(316\) −0.424085 5.65902i −0.0238566 0.318345i
\(317\) −14.1374 17.7278i −0.794037 0.995691i −0.999854 0.0171007i \(-0.994556\pi\)
0.205816 0.978591i \(-0.434015\pi\)
\(318\) −4.94108 + 12.5897i −0.277082 + 0.705994i
\(319\) −22.7999 + 21.1552i −1.27655 + 1.18446i
\(320\) 0.826239 0.563320i 0.0461882 0.0314905i
\(321\) 0.0627913 0.837892i 0.00350467 0.0467666i
\(322\) −1.69477 7.42529i −0.0944461 0.413795i
\(323\) 0.335036 + 1.46789i 0.0186419 + 0.0816754i
\(324\) −0.237531 + 3.16963i −0.0131962 + 0.176090i
\(325\) −4.10120 + 2.79615i −0.227494 + 0.155103i
\(326\) −9.11465 + 8.45716i −0.504814 + 0.468399i
\(327\) 1.03378 2.63402i 0.0571679 0.145661i
\(328\) 0.133538 + 0.167451i 0.00737339 + 0.00924594i
\(329\) 1.38213 + 18.4433i 0.0761995 + 1.01681i
\(330\) −4.86519 + 1.50071i −0.267820 + 0.0826116i
\(331\) −16.9544 2.55546i −0.931897 0.140461i −0.334490 0.942399i \(-0.608564\pi\)
−0.597407 + 0.801938i \(0.703802\pi\)
\(332\) −2.04450 1.89702i −0.112206 0.104112i
\(333\) −9.83245 + 4.73506i −0.538815 + 0.259480i
\(334\) −20.0196 + 3.01747i −1.09543 + 0.165109i
\(335\) −8.22517 5.60783i −0.449389 0.306388i
\(336\) 2.03927 2.55716i 0.111251 0.139504i
\(337\) 11.3043 + 19.5796i 0.615784 + 1.06657i 0.990246 + 0.139327i \(0.0444940\pi\)
−0.374462 + 0.927242i \(0.622173\pi\)
\(338\) 5.81917 10.0791i 0.316521 0.548231i
\(339\) 5.51985 + 14.0644i 0.299797 + 0.763871i
\(340\) −5.37999 2.59087i −0.291771 0.140509i
\(341\) 29.1858 + 9.00262i 1.58050 + 0.487519i
\(342\) 0.0752419 0.329656i 0.00406862 0.0178258i
\(343\) 19.1763 1.03542
\(344\) 5.06053 + 4.17026i 0.272845 + 0.224845i
\(345\) −3.86308 −0.207981
\(346\) 0.301998 1.32314i 0.0162355 0.0711324i
\(347\) 12.7132 + 3.92149i 0.682478 + 0.210517i 0.616559 0.787308i \(-0.288526\pi\)
0.0659185 + 0.997825i \(0.479002\pi\)
\(348\) −9.13078 4.39715i −0.489461 0.235712i
\(349\) −0.000881644 0.00224639i −4.71933e−5 0.000120247i 0.930850 0.365401i \(-0.119068\pi\)
−0.930897 + 0.365281i \(0.880973\pi\)
\(350\) −1.26969 + 2.19916i −0.0678675 + 0.117550i
\(351\) 13.8767 + 24.0352i 0.740686 + 1.28291i
\(352\) 2.46460 3.09052i 0.131364 0.164725i
\(353\) 2.86901 + 1.95606i 0.152702 + 0.104110i 0.637261 0.770648i \(-0.280067\pi\)
−0.484559 + 0.874759i \(0.661020\pi\)
\(354\) −4.71041 + 0.709980i −0.250356 + 0.0377350i
\(355\) −7.00684 + 3.37432i −0.371884 + 0.179090i
\(356\) 12.8194 + 11.8946i 0.679426 + 0.630415i
\(357\) −19.3125 2.91089i −1.02213 0.154061i
\(358\) −3.82386 + 1.17950i −0.202097 + 0.0623387i
\(359\) −0.0556742 0.742920i −0.00293837 0.0392098i 0.995542 0.0943206i \(-0.0300679\pi\)
−0.998480 + 0.0551107i \(0.982449\pi\)
\(360\) 0.836122 + 1.04846i 0.0440675 + 0.0552589i
\(361\) −6.91825 + 17.6274i −0.364119 + 0.927759i
\(362\) −8.51073 + 7.89680i −0.447314 + 0.415047i
\(363\) −4.92253 + 3.35613i −0.258366 + 0.176151i
\(364\) 0.941949 12.5694i 0.0493715 0.658818i
\(365\) −1.96859 8.62493i −0.103040 0.451450i
\(366\) −3.75052 16.4321i −0.196043 0.858920i
\(367\) −1.11742 + 14.9110i −0.0583289 + 0.778346i 0.888964 + 0.457977i \(0.151426\pi\)
−0.947293 + 0.320369i \(0.896193\pi\)
\(368\) 2.47811 1.68955i 0.129180 0.0880737i
\(369\) −0.210547 + 0.195359i −0.0109607 + 0.0101700i
\(370\) 2.97310 7.57535i 0.154564 0.393824i
\(371\) 16.6250 + 20.8470i 0.863125 + 1.08232i
\(372\) 0.743710 + 9.92412i 0.0385596 + 0.514542i
\(373\) 22.9650 7.08378i 1.18909 0.366784i 0.363787 0.931482i \(-0.381483\pi\)
0.825298 + 0.564698i \(0.191007\pi\)
\(374\) −23.3406 3.51802i −1.20691 0.181913i
\(375\) 0.944177 + 0.876068i 0.0487571 + 0.0452399i
\(376\) −6.56203 + 3.16011i −0.338411 + 0.162970i
\(377\) −38.6196 + 5.82096i −1.98901 + 0.299795i
\(378\) 11.7312 + 7.99822i 0.603389 + 0.411384i
\(379\) 17.2058 21.5753i 0.883801 1.10825i −0.109648 0.993971i \(-0.534972\pi\)
0.993449 0.114281i \(-0.0364563\pi\)
\(380\) 0.126072 + 0.218363i 0.00646736 + 0.0112018i
\(381\) 11.3458 19.6514i 0.581260 1.00677i
\(382\) 1.45332 + 3.70300i 0.0743583 + 0.189462i
\(383\) −13.4831 6.49314i −0.688957 0.331784i 0.0564394 0.998406i \(-0.482025\pi\)
−0.745396 + 0.666622i \(0.767740\pi\)
\(384\) 1.23079 + 0.379647i 0.0628082 + 0.0193738i
\(385\) −2.23365 + 9.78625i −0.113837 + 0.498754i
\(386\) 19.4447 0.989708
\(387\) −5.06968 + 7.18530i −0.257706 + 0.365249i
\(388\) −10.1315 −0.514350
\(389\) −7.74993 + 33.9547i −0.392937 + 1.72157i 0.261281 + 0.965263i \(0.415855\pi\)
−0.654218 + 0.756306i \(0.727002\pi\)
\(390\) −6.10925 1.88445i −0.309354 0.0954231i
\(391\) −16.1360 7.77069i −0.816033 0.392981i
\(392\) 0.201520 + 0.513465i 0.0101783 + 0.0259339i
\(393\) −12.8947 + 22.3343i −0.650452 + 1.12662i
\(394\) −3.09638 5.36309i −0.155994 0.270189i
\(395\) −3.53824 + 4.43681i −0.178028 + 0.223240i
\(396\) 4.37990 + 2.98616i 0.220098 + 0.150060i
\(397\) −36.5806 + 5.51364i −1.83593 + 0.276721i −0.973370 0.229239i \(-0.926376\pi\)
−0.862557 + 0.505960i \(0.831138\pi\)
\(398\) 9.01339 4.34062i 0.451800 0.217576i
\(399\) 0.604544 + 0.560935i 0.0302651 + 0.0280819i
\(400\) −0.988831 0.149042i −0.0494415 0.00745211i
\(401\) −31.0177 + 9.56770i −1.54895 + 0.477788i −0.947132 0.320844i \(-0.896034\pi\)
−0.601820 + 0.798632i \(0.705557\pi\)
\(402\) −0.958194 12.7862i −0.0477904 0.637718i
\(403\) 23.9125 + 29.9853i 1.19117 + 1.49367i
\(404\) −3.81689 + 9.72527i −0.189897 + 0.483851i
\(405\) 2.33002 2.16194i 0.115779 0.107428i
\(406\) −16.5086 + 11.2554i −0.819310 + 0.558596i
\(407\) 2.40395 32.0785i 0.119159 1.59007i
\(408\) −1.71144 7.49829i −0.0847287 0.371221i
\(409\) 1.63446 + 7.16102i 0.0808187 + 0.354090i 0.999127 0.0417762i \(-0.0133017\pi\)
−0.918308 + 0.395866i \(0.870445\pi\)
\(410\) 0.0160055 0.213579i 0.000790457 0.0105479i
\(411\) 7.19871 4.90800i 0.355086 0.242094i
\(412\) 13.1028 12.1576i 0.645528 0.598962i
\(413\) −3.43117 + 8.74249i −0.168837 + 0.430190i
\(414\) 2.50775 + 3.14462i 0.123249 + 0.154550i
\(415\) 0.208424 + 2.78122i 0.0102311 + 0.136525i
\(416\) 4.74318 1.46308i 0.232553 0.0717333i
\(417\) 12.6892 + 1.91259i 0.621392 + 0.0936598i
\(418\) 0.730636 + 0.677931i 0.0357366 + 0.0331587i
\(419\) 16.3756 7.88606i 0.799999 0.385259i 0.0112207 0.999937i \(-0.496428\pi\)
0.788778 + 0.614678i \(0.210714\pi\)
\(420\) −3.23420 + 0.487477i −0.157813 + 0.0237864i
\(421\) 2.91807 + 1.98950i 0.142218 + 0.0969625i 0.632339 0.774692i \(-0.282095\pi\)
−0.490121 + 0.871654i \(0.663047\pi\)
\(422\) −7.73035 + 9.69355i −0.376308 + 0.471875i
\(423\) −4.88359 8.45862i −0.237448 0.411272i
\(424\) −5.25019 + 9.09360i −0.254972 + 0.441624i
\(425\) 2.18157 + 5.55856i 0.105822 + 0.269630i
\(426\) −9.02487 4.34615i −0.437256 0.210571i
\(427\) −31.7535 9.79467i −1.53666 0.473997i
\(428\) 0.145163 0.636002i 0.00701673 0.0307423i
\(429\) −25.2721 −1.22015
\(430\) −0.873134 6.49905i −0.0421063 0.313412i
\(431\) −4.34686 −0.209381 −0.104691 0.994505i \(-0.533385\pi\)
−0.104691 + 0.994505i \(0.533385\pi\)
\(432\) −1.24418 + 5.45110i −0.0598606 + 0.262266i
\(433\) −1.49188 0.460185i −0.0716953 0.0221151i 0.258700 0.965958i \(-0.416706\pi\)
−0.330395 + 0.943843i \(0.607182\pi\)
\(434\) 17.6777 + 8.51313i 0.848556 + 0.408643i
\(435\) 3.70251 + 9.43385i 0.177522 + 0.452319i
\(436\) 1.09845 1.90257i 0.0526061 0.0911164i
\(437\) 0.378124 + 0.654929i 0.0180881 + 0.0313295i
\(438\) 7.10446 8.90871i 0.339464 0.425675i
\(439\) 15.5984 + 10.6348i 0.744469 + 0.507571i 0.875149 0.483854i \(-0.160763\pi\)
−0.130679 + 0.991425i \(0.541716\pi\)
\(440\) −3.90877 + 0.589152i −0.186343 + 0.0280867i
\(441\) −0.666454 + 0.320947i −0.0317359 + 0.0152832i
\(442\) −21.7276 20.1603i −1.03348 0.958926i
\(443\) 13.6494 + 2.05732i 0.648505 + 0.0977464i 0.465054 0.885282i \(-0.346035\pi\)
0.183451 + 0.983029i \(0.441273\pi\)
\(444\) 10.0160 3.08953i 0.475338 0.146622i
\(445\) −1.30686 17.4388i −0.0619509 0.826677i
\(446\) 1.96876 + 2.46875i 0.0932236 + 0.116899i
\(447\) −0.0422433 + 0.107634i −0.00199804 + 0.00509092i
\(448\) 1.86149 1.72721i 0.0879472 0.0816030i
\(449\) 3.74989 2.55663i 0.176968 0.120655i −0.471596 0.881815i \(-0.656322\pi\)
0.648565 + 0.761160i \(0.275370\pi\)
\(450\) 0.100216 1.33729i 0.00472421 0.0630403i
\(451\) −0.188392 0.825401i −0.00887106 0.0388666i
\(452\) 2.61025 + 11.4362i 0.122776 + 0.537915i
\(453\) 0.177275 2.36556i 0.00832908 0.111144i
\(454\) 17.5924 11.9943i 0.825652 0.562920i
\(455\) −9.23989 + 8.57336i −0.433173 + 0.401925i
\(456\) −0.118649 + 0.302314i −0.00555627 + 0.0141571i
\(457\) −15.4559 19.3811i −0.722998 0.906611i 0.275505 0.961300i \(-0.411155\pi\)
−0.998503 + 0.0546885i \(0.982583\pi\)
\(458\) 0.942808 + 12.5809i 0.0440545 + 0.587867i
\(459\) 31.9041 9.84113i 1.48916 0.459344i
\(460\) −2.96577 0.447017i −0.138280 0.0208423i
\(461\) −13.8600 12.8602i −0.645526 0.598961i 0.287930 0.957651i \(-0.407033\pi\)
−0.933457 + 0.358690i \(0.883223\pi\)
\(462\) −11.6486 + 5.60965i −0.541940 + 0.260985i
\(463\) 27.4144 4.13205i 1.27405 0.192033i 0.523034 0.852312i \(-0.324800\pi\)
0.751021 + 0.660279i \(0.229562\pi\)
\(464\) −6.50108 4.43236i −0.301805 0.205767i
\(465\) 6.20494 7.78074i 0.287747 0.360823i
\(466\) 5.45651 + 9.45095i 0.252768 + 0.437807i
\(467\) −6.68807 + 11.5841i −0.309487 + 0.536047i −0.978250 0.207428i \(-0.933491\pi\)
0.668763 + 0.743476i \(0.266824\pi\)
\(468\) 2.43189 + 6.19636i 0.112414 + 0.286427i
\(469\) −22.7759 10.9683i −1.05169 0.506469i
\(470\) 6.95973 + 2.14679i 0.321028 + 0.0990241i
\(471\) −1.94872 + 8.53790i −0.0897922 + 0.393406i
\(472\) −3.69844 −0.170234
\(473\) −10.8704 23.5315i −0.499822 1.08198i
\(474\) −7.30930 −0.335727
\(475\) 0.0561073 0.245822i 0.00257438 0.0112791i
\(476\) −14.4898 4.46950i −0.664137 0.204859i
\(477\) −12.6869 6.10968i −0.580893 0.279743i
\(478\) 7.06722 + 18.0070i 0.323247 + 0.823621i
\(479\) −9.90767 + 17.1606i −0.452693 + 0.784087i −0.998552 0.0537898i \(-0.982870\pi\)
0.545859 + 0.837877i \(0.316203\pi\)
\(480\) −0.644004 1.11545i −0.0293946 0.0509130i
\(481\) 25.1853 31.5814i 1.14835 1.43999i
\(482\) −16.7379 11.4117i −0.762391 0.519789i
\(483\) −9.70022 + 1.46207i −0.441375 + 0.0665266i
\(484\) −4.16749 + 2.00696i −0.189431 + 0.0912253i
\(485\) 7.42693 + 6.89118i 0.337239 + 0.312913i
\(486\) −12.5383 1.88984i −0.568748 0.0857250i
\(487\) −23.1273 + 7.13383i −1.04800 + 0.323265i −0.770486 0.637457i \(-0.779986\pi\)
−0.277513 + 0.960722i \(0.589510\pi\)
\(488\) −0.977907 13.0493i −0.0442678 0.590712i
\(489\) 9.98512 + 12.5209i 0.451543 + 0.566216i
\(490\) 0.201520 0.513465i 0.00910375 0.0231960i
\(491\) −24.9740 + 23.1725i −1.12706 + 1.04576i −0.128524 + 0.991706i \(0.541024\pi\)
−0.998538 + 0.0540544i \(0.982786\pi\)
\(492\) 0.227929 0.155399i 0.0102758 0.00700593i
\(493\) −3.51113 + 46.8527i −0.158133 + 2.11014i
\(494\) 0.278500 + 1.22019i 0.0125303 + 0.0548989i
\(495\) −1.17958 5.16810i −0.0530184 0.232289i
\(496\) −0.577411 + 7.70501i −0.0259265 + 0.345965i
\(497\) −16.3171 + 11.1248i −0.731924 + 0.499017i
\(498\) −2.63333 + 2.44337i −0.118002 + 0.109490i
\(499\) −1.08560 + 2.76606i −0.0485981 + 0.123826i −0.953112 0.302619i \(-0.902139\pi\)
0.904513 + 0.426445i \(0.140234\pi\)
\(500\) 0.623490 + 0.781831i 0.0278833 + 0.0349646i
\(501\) 1.94871 + 26.0038i 0.0870621 + 1.16176i
\(502\) −7.99836 + 2.46717i −0.356984 + 0.110115i
\(503\) 0.0341149 + 0.00514200i 0.00152111 + 0.000229270i 0.149803 0.988716i \(-0.452136\pi\)
−0.148282 + 0.988945i \(0.547374\pi\)
\(504\) 2.49633 + 2.31625i 0.111195 + 0.103174i
\(505\) 9.41284 4.53299i 0.418866 0.201715i
\(506\) −11.7234 + 1.76702i −0.521170 + 0.0785538i
\(507\) −12.3855 8.44432i −0.550062 0.375026i
\(508\) 10.9843 13.7739i 0.487351 0.611119i
\(509\) 14.4289 + 24.9916i 0.639550 + 1.10773i 0.985532 + 0.169491i \(0.0542125\pi\)
−0.345982 + 0.938241i \(0.612454\pi\)
\(510\) −3.84556 + 6.66071i −0.170284 + 0.294941i
\(511\) −8.20744 20.9122i −0.363076 0.925102i
\(512\) 0.900969 + 0.433884i 0.0398176 + 0.0191751i
\(513\) −1.34718 0.415549i −0.0594793 0.0183469i
\(514\) 0.276643 1.21205i 0.0122022 0.0534614i
\(515\) −17.8743 −0.787636
\(516\) 5.84340 6.09838i 0.257241 0.268466i
\(517\) 28.7903 1.26620
\(518\) 4.59842 20.1470i 0.202043 0.885209i
\(519\) −1.67038 0.515244i −0.0733215 0.0226167i
\(520\) −4.47214 2.15367i −0.196116 0.0944447i
\(521\) 11.2660 + 28.7054i 0.493574 + 1.25761i 0.933178 + 0.359414i \(0.117023\pi\)
−0.439605 + 0.898191i \(0.644881\pi\)
\(522\) 5.27582 9.13799i 0.230916 0.399959i
\(523\) −9.29966 16.1075i −0.406646 0.704331i 0.587866 0.808959i \(-0.299968\pi\)
−0.994511 + 0.104627i \(0.966635\pi\)
\(524\) −12.4840 + 15.6544i −0.545364 + 0.683865i
\(525\) 2.70240 + 1.84247i 0.117943 + 0.0804119i
\(526\) 10.3971 1.56711i 0.453334 0.0683291i
\(527\) 41.5691 20.0186i 1.81078 0.872025i
\(528\) −3.73225 3.46302i −0.162425 0.150709i
\(529\) 13.8480 + 2.08725i 0.602086 + 0.0907499i
\(530\) 10.0339 3.09504i 0.435844 0.134440i
\(531\) −0.370642 4.94587i −0.0160845 0.214632i
\(532\) 0.399213 + 0.500597i 0.0173081 + 0.0217036i
\(533\) 0.388400 0.989627i 0.0168235 0.0428655i
\(534\) 16.5115 15.3204i 0.714521 0.662978i
\(535\) −0.539003 + 0.367486i −0.0233031 + 0.0158878i
\(536\) 0.743935 9.92712i 0.0321331 0.428786i
\(537\) 1.14690 + 5.02492i 0.0494926 + 0.216841i
\(538\) −3.61498 15.8383i −0.155853 0.682837i
\(539\) 0.162942 2.17431i 0.00701841 0.0936542i
\(540\) 4.61974 3.14968i 0.198802 0.135541i
\(541\) 17.9310 16.6376i 0.770916 0.715305i −0.193092 0.981181i \(-0.561851\pi\)
0.964007 + 0.265875i \(0.0856610\pi\)
\(542\) −6.27364 + 15.9850i −0.269476 + 0.686614i
\(543\) 9.32352 + 11.6913i 0.400110 + 0.501723i
\(544\) −0.446238 5.95464i −0.0191323 0.255303i
\(545\) −2.09929 + 0.647546i −0.0899238 + 0.0277378i
\(546\) −16.0536 2.41969i −0.687031 0.103553i
\(547\) −7.18708 6.66864i −0.307297 0.285130i 0.511415 0.859334i \(-0.329121\pi\)
−0.818713 + 0.574203i \(0.805312\pi\)
\(548\) 6.09453 2.93497i 0.260345 0.125376i
\(549\) 17.3526 2.61548i 0.740591 0.111626i
\(550\) 3.26605 + 2.22676i 0.139265 + 0.0949493i
\(551\) 1.23697 1.55111i 0.0526965 0.0660793i
\(552\) −1.93154 3.34552i −0.0822118 0.142395i
\(553\) −7.20533 + 12.4800i −0.306402 + 0.530703i
\(554\) 6.03300 + 15.3718i 0.256318 + 0.653086i
\(555\) −9.44365 4.54782i −0.400861 0.193044i
\(556\) 9.52044 + 2.93667i 0.403757 + 0.124542i
\(557\) −2.73195 + 11.9694i −0.115756 + 0.507162i 0.883494 + 0.468443i \(0.155185\pi\)
−0.999250 + 0.0387188i \(0.987672\pi\)
\(558\) −10.3617 −0.438645
\(559\) 5.36718 32.1036i 0.227007 1.35784i
\(560\) −2.53937 −0.107308
\(561\) −6.76517 + 29.6401i −0.285626 + 1.25141i
\(562\) 19.7693 + 6.09801i 0.833916 + 0.257229i
\(563\) −4.68542 2.25638i −0.197467 0.0950950i 0.332537 0.943090i \(-0.392095\pi\)
−0.530004 + 0.847995i \(0.677810\pi\)
\(564\) 3.42725 + 8.73248i 0.144313 + 0.367704i
\(565\) 5.86517 10.1588i 0.246750 0.427383i
\(566\) 2.43085 + 4.21036i 0.102176 + 0.176975i
\(567\) 5.03246 6.31050i 0.211343 0.265016i
\(568\) −6.42566 4.38094i −0.269615 0.183820i
\(569\) 20.7946 3.13428i 0.871756 0.131396i 0.302097 0.953277i \(-0.402313\pi\)
0.569659 + 0.821881i \(0.307075\pi\)
\(570\) 0.292602 0.140910i 0.0122557 0.00590205i
\(571\) 3.22992 + 2.99693i 0.135168 + 0.125418i 0.744860 0.667221i \(-0.232516\pi\)
−0.609692 + 0.792639i \(0.708707\pi\)
\(572\) −19.4020 2.92437i −0.811237 0.122274i
\(573\) 4.89604 1.51023i 0.204535 0.0630907i
\(574\) −0.0406440 0.542357i −0.00169645 0.0226375i
\(575\) 1.87001 + 2.34492i 0.0779849 + 0.0977900i
\(576\) −0.489935 + 1.24833i −0.0204140 + 0.0520140i
\(577\) 2.61472 2.42610i 0.108852 0.101000i −0.623869 0.781529i \(-0.714440\pi\)
0.732721 + 0.680529i \(0.238250\pi\)
\(578\) −15.4150 + 10.5098i −0.641180 + 0.437149i
\(579\) 1.87161 24.9749i 0.0777814 1.03792i
\(580\) 1.75086 + 7.67100i 0.0727004 + 0.318521i
\(581\) 1.57597 + 6.90479i 0.0653824 + 0.286459i
\(582\) −0.975189 + 13.0130i −0.0404229 + 0.539406i
\(583\) 34.2948 23.3818i 1.42035 0.968376i
\(584\) 6.48512 6.01731i 0.268356 0.248998i
\(585\) 2.43189 6.19636i 0.100546 0.256188i
\(586\) −15.2415 19.1123i −0.629621 0.789520i
\(587\) 0.383716 + 5.12033i 0.0158377 + 0.211339i 0.999508 + 0.0313601i \(0.00998386\pi\)
−0.983670 + 0.179979i \(0.942397\pi\)
\(588\) 0.678895 0.209411i 0.0279971 0.00863598i
\(589\) −1.92646 0.290367i −0.0793784 0.0119644i
\(590\) 2.71115 + 2.51558i 0.111616 + 0.103565i
\(591\) −7.18643 + 3.46080i −0.295610 + 0.142358i
\(592\) 8.04700 1.21289i 0.330730 0.0498495i
\(593\) −13.3883 9.12802i −0.549793 0.374843i 0.256331 0.966589i \(-0.417486\pi\)
−0.806124 + 0.591746i \(0.798439\pi\)
\(594\) 13.7803 17.2800i 0.565413 0.709006i
\(595\) 7.58172 + 13.1319i 0.310820 + 0.538356i
\(596\) −0.0448860 + 0.0777448i −0.00183860 + 0.00318455i
\(597\) −4.70755 11.9946i −0.192667 0.490908i
\(598\) −13.4131 6.45943i −0.548504 0.264146i
\(599\) 5.63109 + 1.73696i 0.230080 + 0.0709703i 0.407651 0.913138i \(-0.366348\pi\)
−0.177571 + 0.984108i \(0.556824\pi\)
\(600\) −0.286609 + 1.25571i −0.0117008 + 0.0512643i
\(601\) 11.6641 0.475787 0.237893 0.971291i \(-0.423543\pi\)
0.237893 + 0.971291i \(0.423543\pi\)
\(602\) −4.65217 15.9887i −0.189608 0.651651i
\(603\) 13.3500 0.543652
\(604\) 0.409829 1.79558i 0.0166757 0.0730611i
\(605\) 4.42006 + 1.36341i 0.179701 + 0.0554304i
\(606\) 12.1238 + 5.83852i 0.492496 + 0.237174i
\(607\) −17.5170 44.6325i −0.710991 1.81158i −0.570144 0.821545i \(-0.693113\pi\)
−0.140848 0.990031i \(-0.544983\pi\)
\(608\) −0.126072 + 0.218363i −0.00511290 + 0.00885580i
\(609\) 12.8675 + 22.2872i 0.521418 + 0.903122i
\(610\) −8.15890 + 10.2309i −0.330344 + 0.414238i
\(611\) 29.8703 + 20.3652i 1.20842 + 0.823889i
\(612\) 7.91833 1.19350i 0.320080 0.0482442i
\(613\) 35.9547 17.3149i 1.45220 0.699341i 0.469222 0.883080i \(-0.344535\pi\)
0.982975 + 0.183739i \(0.0588202\pi\)
\(614\) −13.1797 12.2290i −0.531891 0.493523i
\(615\) −0.272782 0.0411152i −0.0109996 0.00165793i
\(616\) −9.59197 + 2.95873i −0.386471 + 0.119211i
\(617\) −1.89666 25.3092i −0.0763567 1.01891i −0.895425 0.445213i \(-0.853128\pi\)
0.819068 0.573696i \(-0.194491\pi\)
\(618\) −14.3541 17.9995i −0.577408 0.724046i
\(619\) 2.67426 6.81391i 0.107488 0.273874i −0.867003 0.498304i \(-0.833957\pi\)
0.974490 + 0.224429i \(0.0720518\pi\)
\(620\) 5.66401 5.25544i 0.227472 0.211063i
\(621\) 13.8558 9.44674i 0.556015 0.379085i
\(622\) 1.56365 20.8654i 0.0626966 0.836628i
\(623\) −9.88164 43.2943i −0.395900 1.73455i
\(624\) −1.42264 6.23299i −0.0569512 0.249519i
\(625\) 0.0747301 0.997204i 0.00298920 0.0398882i
\(626\) 21.2665 14.4993i 0.849981 0.579508i
\(627\) 0.941065 0.873181i 0.0375825 0.0348715i
\(628\) −2.48404 + 6.32923i −0.0991239 + 0.252564i
\(629\) −30.2979 37.9924i −1.20806 1.51486i
\(630\) −0.254485 3.39587i −0.0101389 0.135295i
\(631\) −29.8948 + 9.22131i −1.19009 + 0.367095i −0.825678 0.564142i \(-0.809207\pi\)
−0.364414 + 0.931237i \(0.618731\pi\)
\(632\) −5.61151 0.845798i −0.223214 0.0336441i
\(633\) 11.7064 + 10.8619i 0.465287 + 0.431724i
\(634\) −20.4292 + 9.83818i −0.811346 + 0.390724i
\(635\) −17.4207 + 2.62575i −0.691321 + 0.104200i
\(636\) 11.1745 + 7.61866i 0.443099 + 0.302100i
\(637\) 1.70709 2.14062i 0.0676372 0.0848143i
\(638\) 15.5513 + 26.9357i 0.615683 + 1.06639i
\(639\) 5.21462 9.03199i 0.206287 0.357300i
\(640\) −0.365341 0.930874i −0.0144414 0.0367960i
\(641\) −2.79271 1.34490i −0.110305 0.0531203i 0.377917 0.925839i \(-0.376640\pi\)
−0.488223 + 0.872719i \(0.662355\pi\)
\(642\) −0.802912 0.247666i −0.0316884 0.00977458i
\(643\) −8.17856 + 35.8326i −0.322531 + 1.41310i 0.510502 + 0.859876i \(0.329459\pi\)
−0.833033 + 0.553223i \(0.813398\pi\)
\(644\) −7.61625 −0.300122
\(645\) −8.43146 + 0.495907i −0.331988 + 0.0195263i
\(646\) 1.50564 0.0592385
\(647\) 5.05938 22.1666i 0.198905 0.871458i −0.772686 0.634789i \(-0.781087\pi\)
0.971590 0.236669i \(-0.0760558\pi\)
\(648\) 3.03730 + 0.936884i 0.119317 + 0.0368043i
\(649\) 13.1718 + 6.34322i 0.517039 + 0.248993i
\(650\) 1.81344 + 4.62058i 0.0711291 + 0.181234i
\(651\) 12.6358 21.8859i 0.495238 0.857777i
\(652\) 6.21692 + 10.7680i 0.243473 + 0.421708i
\(653\) 10.5008 13.1676i 0.410927 0.515286i −0.532697 0.846306i \(-0.678821\pi\)
0.943624 + 0.331020i \(0.107393\pi\)
\(654\) −2.33794 1.59398i −0.0914207 0.0623296i
\(655\) 19.7991 2.98423i 0.773614 0.116604i
\(656\) 0.192968 0.0929284i 0.00753412 0.00362824i
\(657\) 8.69678 + 8.06943i 0.339294 + 0.314818i
\(658\) 18.2884 + 2.75654i 0.712958 + 0.107461i
\(659\) −22.1014 + 6.81737i −0.860947 + 0.265567i −0.693626 0.720335i \(-0.743988\pi\)
−0.167321 + 0.985902i \(0.553512\pi\)
\(660\) 0.380480 + 5.07715i 0.0148102 + 0.197628i
\(661\) 20.0498 + 25.1416i 0.779845 + 0.977895i 0.999997 + 0.00242959i \(0.000773363\pi\)
−0.220152 + 0.975466i \(0.570655\pi\)
\(662\) −6.26410 + 15.9607i −0.243461 + 0.620329i
\(663\) −27.9853 + 25.9666i −1.08686 + 1.00846i
\(664\) −2.30440 + 1.57111i −0.0894279 + 0.0609709i
\(665\) 0.0478487 0.638497i 0.00185549 0.0247598i
\(666\) 2.42842 + 10.6396i 0.0940992 + 0.412275i
\(667\) 5.25128 + 23.0074i 0.203331 + 0.890849i
\(668\) −1.51297 + 20.1892i −0.0585385 + 0.781142i
\(669\) 3.36038 2.29107i 0.129920 0.0885777i
\(670\) −7.29750 + 6.77109i −0.281927 + 0.261590i
\(671\) −18.8981 + 48.1516i −0.729553 + 1.85887i
\(672\) −2.03927 2.55716i −0.0786664 0.0986446i
\(673\) 0.272536 + 3.63674i 0.0105055 + 0.140186i 0.999990 0.00445234i \(-0.00141723\pi\)
−0.989485 + 0.144638i \(0.953798\pi\)
\(674\) 21.6042 6.66400i 0.832161 0.256688i
\(675\) −5.52884 0.833338i −0.212805 0.0320752i
\(676\) −8.53151 7.91608i −0.328135 0.304465i
\(677\) −2.25797 + 1.08738i −0.0867807 + 0.0417914i −0.476771 0.879028i \(-0.658193\pi\)
0.389990 + 0.920819i \(0.372478\pi\)
\(678\) 14.9400 2.25184i 0.573768 0.0864816i
\(679\) 21.2572 + 14.4929i 0.815777 + 0.556187i
\(680\) −3.72307 + 4.66858i −0.142773 + 0.179032i
\(681\) −13.7122 23.7503i −0.525453 0.910112i
\(682\) 15.2713 26.4507i 0.584770 1.01285i
\(683\) −13.1994 33.6315i −0.505061 1.28687i −0.925223 0.379424i \(-0.876122\pi\)
0.420162 0.907449i \(-0.361973\pi\)
\(684\) −0.304648 0.146711i −0.0116485 0.00560963i
\(685\) −6.46390 1.99385i −0.246973 0.0761810i
\(686\) 4.26713 18.6955i 0.162920 0.713798i
\(687\) 16.2497 0.619966
\(688\) 5.19177 4.00568i 0.197935 0.152715i
\(689\) 52.1208 1.98564
\(690\) −0.859616 + 3.76622i −0.0327250 + 0.143378i
\(691\) 26.1724 + 8.07311i 0.995644 + 0.307115i 0.749418 0.662097i \(-0.230333\pi\)
0.246226 + 0.969213i \(0.420810\pi\)
\(692\) −1.22276 0.588852i −0.0464825 0.0223848i
\(693\) −4.91793 12.5307i −0.186817 0.476002i
\(694\) 6.65211 11.5218i 0.252511 0.437361i
\(695\) −4.98154 8.62828i −0.188960 0.327289i
\(696\) −6.31870 + 7.92340i −0.239510 + 0.300336i
\(697\) −1.05670 0.720446i −0.0400254 0.0272888i
\(698\) −0.00238625 0.000359670i −9.03210e−5 1.36137e-5i
\(699\) 12.6641 6.09869i 0.478999 0.230674i
\(700\) 1.86149 + 1.72721i 0.0703577 + 0.0652824i
\(701\) −32.5957 4.91301i −1.23112 0.185562i −0.498920 0.866648i \(-0.666270\pi\)
−0.732203 + 0.681086i \(0.761508\pi\)
\(702\) 26.5205 8.18049i 1.00095 0.308753i
\(703\) 0.153340 + 2.04618i 0.00578334 + 0.0771732i
\(704\) −2.46460 3.09052i −0.0928883 0.116478i
\(705\) 3.42725 8.73248i 0.129078 0.328884i
\(706\) 2.54543 2.36181i 0.0957984 0.0888879i
\(707\) 21.9201 14.9449i 0.824391 0.562060i
\(708\) −0.355985 + 4.75030i −0.0133788 + 0.178527i
\(709\) −8.45521 37.0447i −0.317542 1.39124i −0.841849 0.539713i \(-0.818533\pi\)
0.524307 0.851529i \(-0.324324\pi\)
\(710\) 1.73055 + 7.58202i 0.0649463 + 0.284548i
\(711\) 0.568713 7.58895i 0.0213284 0.284608i
\(712\) 14.4490 9.85116i 0.541499 0.369188i
\(713\) 16.9879 15.7624i 0.636201 0.590308i
\(714\) −7.13534 + 18.1805i −0.267033 + 0.680390i
\(715\) 12.2336 + 15.3404i 0.457509 + 0.573698i
\(716\) 0.299043 + 3.99045i 0.0111758 + 0.149130i
\(717\) 23.8085 7.34396i 0.889146 0.274265i
\(718\) −0.736683 0.111037i −0.0274928 0.00414387i
\(719\) −10.0960 9.36772i −0.376517 0.349357i 0.469102 0.883144i \(-0.344578\pi\)
−0.845619 + 0.533787i \(0.820768\pi\)
\(720\) 1.20823 0.581854i 0.0450281 0.0216844i
\(721\) −44.8825 + 6.76495i −1.67151 + 0.251940i
\(722\) 15.6460 + 10.6673i 0.582284 + 0.396995i
\(723\) −16.2684 + 20.3999i −0.605027 + 0.758679i
\(724\) 5.80500 + 10.0545i 0.215741 + 0.373674i
\(725\) 3.93414 6.81413i 0.146110 0.253070i
\(726\) 2.17661 + 5.54592i 0.0807817 + 0.205828i
\(727\) −24.1163 11.6138i −0.894424 0.430732i −0.0705521 0.997508i \(-0.522476\pi\)
−0.823872 + 0.566776i \(0.808190\pi\)
\(728\) −12.0447 3.71530i −0.446406 0.137698i
\(729\) −5.75603 + 25.2188i −0.213186 + 0.934031i
\(730\) −8.84674 −0.327433
\(731\) −36.2156 14.8887i −1.33948 0.550680i
\(732\) −16.8547 −0.622967
\(733\) 2.71750 11.9062i 0.100373 0.439764i −0.899622 0.436670i \(-0.856158\pi\)
0.999995 0.00309451i \(-0.000985014\pi\)
\(734\) 14.2885 + 4.40741i 0.527397 + 0.162680i
\(735\) −0.640101 0.308256i −0.0236105 0.0113702i
\(736\) −1.09575 2.79194i −0.0403901 0.102912i
\(737\) −19.6756 + 34.0791i −0.724759 + 1.25532i
\(738\) 0.143610 + 0.248740i 0.00528636 + 0.00915625i
\(739\) −1.99327 + 2.49948i −0.0733235 + 0.0919448i −0.817140 0.576439i \(-0.804442\pi\)
0.743817 + 0.668383i \(0.233013\pi\)
\(740\) −6.72384 4.58424i −0.247173 0.168520i
\(741\) 1.59402 0.240261i 0.0585580 0.00882619i
\(742\) 24.0238 11.5692i 0.881940 0.424720i
\(743\) 10.4881 + 9.73154i 0.384771 + 0.357015i 0.848716 0.528849i \(-0.177376\pi\)
−0.463945 + 0.885864i \(0.653567\pi\)
\(744\) 9.84079 + 1.48326i 0.360781 + 0.0543790i
\(745\) 0.0857837 0.0264608i 0.00314287 0.000969447i
\(746\) −1.79597 23.9656i −0.0657551 0.877441i
\(747\) −2.33196 2.92419i −0.0853220 0.106990i
\(748\) −8.62358 + 21.9725i −0.315309 + 0.803395i
\(749\) −1.21436 + 1.12676i −0.0443717 + 0.0411709i
\(750\) 1.06420 0.725561i 0.0388592 0.0264937i
\(751\) −0.757974 + 10.1145i −0.0276589 + 0.369082i 0.966150 + 0.257980i \(0.0830569\pi\)
−0.993809 + 0.111102i \(0.964562\pi\)
\(752\) 1.62069 + 7.10070i 0.0591004 + 0.258936i
\(753\) 2.39898 + 10.5106i 0.0874236 + 0.383028i
\(754\) −2.91864 + 38.9466i −0.106291 + 1.41835i
\(755\) −1.52173 + 1.03750i −0.0553815 + 0.0377584i
\(756\) 10.4081 9.65733i 0.378540 0.351234i
\(757\) −6.62991 + 16.8927i −0.240968 + 0.613977i −0.999281 0.0379139i \(-0.987929\pi\)
0.758313 + 0.651891i \(0.226024\pi\)
\(758\) −17.2058 21.5753i −0.624941 0.783652i
\(759\) 1.14116 + 15.2277i 0.0414215 + 0.552732i
\(760\) 0.240942 0.0743208i 0.00873988 0.00269590i
\(761\) 7.03008 + 1.05961i 0.254840 + 0.0384110i 0.275220 0.961381i \(-0.411249\pi\)
−0.0203795 + 0.999792i \(0.506487\pi\)
\(762\) −16.6340 15.4341i −0.602588 0.559120i
\(763\) −5.02626 + 2.42052i −0.181963 + 0.0876287i
\(764\) 3.93355 0.592887i 0.142311 0.0214499i
\(765\) −6.61633 4.51094i −0.239214 0.163093i
\(766\) −9.33063 + 11.7002i −0.337129 + 0.422747i
\(767\) 9.17897 + 15.8984i 0.331433 + 0.574060i
\(768\) 0.644004 1.11545i 0.0232385 0.0402502i
\(769\) −0.998058 2.54301i −0.0359909 0.0917033i 0.911748 0.410749i \(-0.134733\pi\)
−0.947739 + 0.319046i \(0.896638\pi\)
\(770\) 9.04386 + 4.35529i 0.325918 + 0.156954i
\(771\) −1.53014 0.471986i −0.0551067 0.0169982i
\(772\) 4.32685 18.9572i 0.155727 0.682283i
\(773\) −40.6674 −1.46271 −0.731353 0.681999i \(-0.761111\pi\)
−0.731353 + 0.681999i \(0.761111\pi\)
\(774\) 5.87704 + 6.54145i 0.211246 + 0.235128i
\(775\) −7.72662 −0.277548
\(776\) −2.25448 + 9.87750i −0.0809309 + 0.354582i
\(777\) −25.4343 7.84545i −0.912451 0.281454i
\(778\) 31.3788 + 15.1112i 1.12499 + 0.541764i
\(779\) 0.0197298 + 0.0502706i 0.000706892 + 0.00180113i
\(780\) −3.19664 + 5.53675i −0.114458 + 0.198247i
\(781\) 15.3709 + 26.6232i 0.550015 + 0.952654i
\(782\) −11.1665 + 14.0023i −0.399312 + 0.500721i
\(783\) −36.3494 24.7826i −1.29902 0.885658i
\(784\) 0.545434 0.0822109i 0.0194798 0.00293610i
\(785\) 6.12590 2.95008i 0.218643 0.105293i
\(786\) 18.9050 + 17.5413i 0.674319 + 0.625676i
\(787\) −21.9771 3.31251i −0.783398 0.118078i −0.254849 0.966981i \(-0.582026\pi\)
−0.528549 + 0.848903i \(0.677264\pi\)
\(788\) −5.91764 + 1.82535i −0.210807 + 0.0650254i
\(789\) −1.01205 13.5049i −0.0360300 0.480787i
\(790\) 3.53824 + 4.43681i 0.125885 + 0.157855i
\(791\) 10.8827 27.7286i 0.386943 0.985914i
\(792\) 3.88591 3.60560i 0.138080 0.128119i
\(793\) −53.6678 + 36.5901i −1.90580 + 1.29935i
\(794\) −2.76455 + 36.8903i −0.0981102 + 1.30919i
\(795\) −3.00950 13.1855i −0.106736 0.467641i
\(796\) −2.22612 9.75328i −0.0789028 0.345696i
\(797\) −2.14264 + 28.5915i −0.0758961 + 1.01276i 0.821117 + 0.570760i \(0.193351\pi\)
−0.897013 + 0.442004i \(0.854268\pi\)
\(798\) 0.681395 0.464567i 0.0241211 0.0164455i
\(799\) 31.8812 29.5814i 1.12788 1.04652i
\(800\) −0.365341 + 0.930874i −0.0129168 + 0.0329114i
\(801\) 14.6218 + 18.3352i 0.516637 + 0.647842i
\(802\) 2.42573 + 32.3691i 0.0856554 + 1.14299i
\(803\) −33.4168 + 10.3077i −1.17925 + 0.363751i
\(804\) −12.6789 1.91103i −0.447149 0.0673968i
\(805\) 5.58311 + 5.18037i 0.196779 + 0.182584i
\(806\) 34.5545 16.6406i 1.21713 0.586140i
\(807\) −20.6907 + 3.11863i −0.728349 + 0.109781i
\(808\) 8.63210 + 5.88527i 0.303676 + 0.207043i
\(809\) −1.46069 + 1.83165i −0.0513551 + 0.0643973i −0.806846 0.590762i \(-0.798827\pi\)
0.755491 + 0.655159i \(0.227399\pi\)
\(810\) −1.58926 2.75268i −0.0558408 0.0967192i
\(811\) 12.4530 21.5692i 0.437283 0.757397i −0.560196 0.828360i \(-0.689274\pi\)
0.997479 + 0.0709635i \(0.0226074\pi\)
\(812\) 7.29969 + 18.5993i 0.256169 + 0.652708i
\(813\) 19.9274 + 9.59651i 0.698883 + 0.336564i
\(814\) −30.7393 9.48181i −1.07741 0.332337i
\(815\) 2.76679 12.1221i 0.0969164 0.424619i
\(816\) −7.69113 −0.269243
\(817\) 0.909357 + 1.38089i 0.0318144 + 0.0483113i
\(818\) 7.34518 0.256818
\(819\) 3.76134 16.4795i 0.131432 0.575841i
\(820\) −0.204663 0.0631301i −0.00714713 0.00220460i
\(821\) −34.8098 16.7635i −1.21487 0.585051i −0.286993 0.957933i \(-0.592656\pi\)
−0.927879 + 0.372881i \(0.878370\pi\)
\(822\) −3.18308 8.11035i −0.111023 0.282881i
\(823\) 0.439582 0.761378i 0.0153229 0.0265400i −0.858262 0.513211i \(-0.828456\pi\)
0.873585 + 0.486671i \(0.161789\pi\)
\(824\) −8.93715 15.4796i −0.311340 0.539257i
\(825\) 3.17443 3.98061i 0.110519 0.138587i
\(826\) 7.75979 + 5.29054i 0.269998 + 0.184081i
\(827\) −34.5266 + 5.20405i −1.20061 + 0.180963i −0.718739 0.695280i \(-0.755280\pi\)
−0.481870 + 0.876243i \(0.660042\pi\)
\(828\) 3.62381 1.74513i 0.125936 0.0606476i
\(829\) −26.5465 24.6316i −0.921998 0.855489i 0.0678386 0.997696i \(-0.478390\pi\)
−0.989837 + 0.142207i \(0.954580\pi\)
\(830\) 2.75787 + 0.415682i 0.0957270 + 0.0144285i
\(831\) 20.3244 6.26924i 0.705044 0.217477i
\(832\) −0.370938 4.94982i −0.0128600 0.171604i
\(833\) −2.05362 2.57516i −0.0711538 0.0892241i
\(834\) 4.68825 11.9455i 0.162341 0.413637i
\(835\) 14.8412 13.7706i 0.513601 0.476552i
\(836\) 0.823516 0.561464i 0.0284819 0.0194186i
\(837\) −3.22847 + 43.0810i −0.111592 + 1.48910i
\(838\) −4.04443 17.7198i −0.139713 0.612121i
\(839\) −11.3391 49.6799i −0.391470 1.71514i −0.659477 0.751725i \(-0.729222\pi\)
0.268006 0.963417i \(-0.413635\pi\)
\(840\) −0.244422 + 3.26158i −0.00843336 + 0.112535i
\(841\) 27.1913 18.5387i 0.937633 0.639267i
\(842\) 2.58895 2.40220i 0.0892212 0.0827852i
\(843\) 9.73517 24.8048i 0.335297 0.854323i
\(844\) 7.73035 + 9.69355i 0.266090 + 0.333666i
\(845\) 0.869734 + 11.6058i 0.0299198 + 0.399252i
\(846\) −9.33324 + 2.87892i −0.320884 + 0.0989795i
\(847\) 11.6148 + 1.75065i 0.399090 + 0.0601531i
\(848\) 7.69732 + 7.14207i 0.264327 + 0.245260i
\(849\) 5.64179 2.71694i 0.193626 0.0932453i
\(850\) 5.90464 0.889981i 0.202527 0.0305261i
\(851\) −20.1666 13.7493i −0.691302 0.471321i
\(852\) −6.24540 + 7.83148i −0.213964 + 0.268302i
\(853\) −5.39644 9.34691i −0.184771 0.320032i 0.758729 0.651407i \(-0.225821\pi\)
−0.943499 + 0.331375i \(0.892488\pi\)
\(854\) −16.6149 + 28.7779i −0.568551 + 0.984759i
\(855\) 0.123534 + 0.314760i 0.00422478 + 0.0107646i
\(856\) −0.587754 0.283047i −0.0200890 0.00967436i
\(857\) 48.5755 + 14.9836i 1.65931 + 0.511828i 0.975902 0.218211i \(-0.0700220\pi\)
0.683405 + 0.730039i \(0.260498\pi\)
\(858\) −5.62358 + 24.6385i −0.191986 + 0.841145i
\(859\) 42.5479 1.45172 0.725858 0.687845i \(-0.241443\pi\)
0.725858 + 0.687845i \(0.241443\pi\)
\(860\) −6.53039 0.594931i −0.222685 0.0202870i
\(861\) −0.700518 −0.0238736
\(862\) −0.967268 + 4.23788i −0.0329453 + 0.144343i
\(863\) 9.09191 + 2.80448i 0.309492 + 0.0954657i 0.445611 0.895227i \(-0.352987\pi\)
−0.136118 + 0.990693i \(0.543463\pi\)
\(864\) 5.03758 + 2.42597i 0.171382 + 0.0825331i
\(865\) 0.495828 + 1.26335i 0.0168587 + 0.0429552i
\(866\) −0.780623 + 1.35208i −0.0265266 + 0.0459455i
\(867\) 12.0151 + 20.8107i 0.408054 + 0.706769i
\(868\) 12.2333 15.3401i 0.415227 0.520678i
\(869\) 18.5345 + 12.6366i 0.628740 + 0.428668i
\(870\) 10.0212 1.51045i 0.339751 0.0512092i
\(871\) −44.5200 + 21.4397i −1.50850 + 0.726456i
\(872\) −1.61044 1.49427i −0.0545363 0.0506023i
\(873\) −13.4350 2.02500i −0.454705 0.0685358i
\(874\) 0.722649 0.222908i 0.0244440 0.00753997i
\(875\) −0.189767 2.53227i −0.00641531 0.0856064i
\(876\) −7.10446 8.90871i −0.240038 0.300998i
\(877\) −5.67296 + 14.4545i −0.191562 + 0.488093i −0.994095 0.108516i \(-0.965390\pi\)
0.802532 + 0.596608i \(0.203485\pi\)
\(878\) 13.8391 12.8408i 0.467047 0.433357i
\(879\) −26.0149 + 17.7367i −0.877462 + 0.598244i
\(880\) −0.295402 + 3.94186i −0.00995800 + 0.132880i
\(881\) −2.61642 11.4633i −0.0881493 0.386207i 0.911538 0.411216i \(-0.134896\pi\)
−0.999687 + 0.0250087i \(0.992039\pi\)
\(882\) 0.164601 + 0.721162i 0.00554239 + 0.0242828i
\(883\) −2.25422 + 30.0804i −0.0758604 + 1.01229i 0.821275 + 0.570532i \(0.193263\pi\)
−0.897136 + 0.441755i \(0.854356\pi\)
\(884\) −24.4897 + 16.6968i −0.823676 + 0.561573i
\(885\) 3.49198 3.24008i 0.117382 0.108914i
\(886\) 5.04303 12.8494i 0.169424 0.431685i
\(887\) −16.1663 20.2718i −0.542810 0.680662i 0.432467 0.901650i \(-0.357643\pi\)
−0.975277 + 0.220988i \(0.929072\pi\)
\(888\) −0.783296 10.4524i −0.0262857 0.350758i
\(889\) −42.7499 + 13.1866i −1.43378 + 0.442264i
\(890\) −17.2924 2.60640i −0.579641 0.0873668i
\(891\) −9.21037 8.54597i −0.308559 0.286301i
\(892\) 2.84494 1.37005i 0.0952558 0.0458728i
\(893\) −1.81593 + 0.273707i −0.0607678 + 0.00915927i
\(894\) 0.0955355 + 0.0651350i 0.00319519 + 0.00217844i
\(895\) 2.49498 3.12861i 0.0833980 0.104578i
\(896\) −1.26969 2.19916i −0.0424172 0.0734688i
\(897\) −9.58759 + 16.6062i −0.320120 + 0.554464i
\(898\) −1.65810 4.22478i −0.0553316 0.140983i
\(899\) −54.7746 26.3780i −1.82683 0.879757i
\(900\) −1.28146 0.395277i −0.0427152 0.0131759i
\(901\) 13.9524 61.1292i 0.464820 2.03651i
\(902\) −0.846628 −0.0281896
\(903\) −20.9838 + 4.43631i −0.698297 + 0.147631i
\(904\) 11.7303 0.390145
\(905\) 2.58347 11.3189i 0.0858773 0.376253i
\(906\) −2.26681 0.699217i −0.0753096 0.0232299i
\(907\) 12.2052 + 5.87772i 0.405267 + 0.195166i 0.625401 0.780303i \(-0.284935\pi\)
−0.220134 + 0.975470i \(0.570650\pi\)
\(908\) −7.77889 19.8203i −0.258152 0.657759i
\(909\) −7.00521 + 12.1334i −0.232348 + 0.402439i
\(910\) 6.30234 + 10.9160i 0.208921 + 0.361861i
\(911\) 10.4911 13.1554i 0.347585 0.435858i −0.577052 0.816708i \(-0.695797\pi\)
0.924637 + 0.380849i \(0.124368\pi\)
\(912\) 0.268332 + 0.182946i 0.00888537 + 0.00605794i
\(913\) 10.9016 1.64316i 0.360791 0.0543805i
\(914\) −22.3345 + 10.7557i −0.738759 + 0.355767i
\(915\) 12.3554 + 11.4641i 0.408456 + 0.378991i
\(916\) 12.4753 + 1.88034i 0.412194 + 0.0621283i
\(917\) 48.5862 14.9869i 1.60446 0.494910i
\(918\) −2.49505 33.2941i −0.0823488 1.09887i
\(919\) 3.45652 + 4.33433i 0.114020 + 0.142977i 0.835566 0.549390i \(-0.185140\pi\)
−0.721546 + 0.692366i \(0.756568\pi\)
\(920\) −1.09575 + 2.79194i −0.0361260 + 0.0920475i
\(921\) −16.9756 + 15.7511i −0.559366 + 0.519015i
\(922\) −15.6220 + 10.6509i −0.514482 + 0.350768i
\(923\) −2.88479 + 38.4948i −0.0949539 + 1.26707i
\(924\) 2.87696 + 12.6048i 0.0946449 + 0.414667i
\(925\) 1.81085 + 7.93386i 0.0595404 + 0.260864i
\(926\) 2.07182 27.6465i 0.0680842 0.908521i
\(927\) 19.8050 13.5028i 0.650482 0.443491i
\(928\) −5.76786 + 5.35179i −0.189339 + 0.175681i
\(929\) 5.43052 13.8367i 0.178170 0.453969i −0.813691 0.581298i \(-0.802545\pi\)
0.991861 + 0.127329i \(0.0406404\pi\)
\(930\) −6.20494 7.78074i −0.203468 0.255141i
\(931\) 0.0103936 + 0.138692i 0.000340635 + 0.00454546i
\(932\) 10.4282 3.21667i 0.341586 0.105365i
\(933\) −26.6492 4.01672i −0.872456 0.131502i
\(934\) 9.80541 + 9.09809i 0.320843 + 0.297699i
\(935\) 21.2666 10.2415i 0.695494 0.334932i
\(936\) 6.58215 0.992100i 0.215144 0.0324278i
\(937\) −7.76094 5.29132i −0.253539 0.172860i 0.429881 0.902886i \(-0.358556\pi\)
−0.683420 + 0.730026i \(0.739508\pi\)
\(938\) −15.7614 + 19.7642i −0.514628 + 0.645323i
\(939\) −16.5760 28.7105i −0.540937 0.936931i
\(940\) 3.64165 6.30753i 0.118778 0.205729i
\(941\) 3.75465 + 9.56669i 0.122398 + 0.311865i 0.978920 0.204246i \(-0.0654743\pi\)
−0.856522 + 0.516111i \(0.827379\pi\)
\(942\) 7.89020 + 3.79972i 0.257077 + 0.123802i
\(943\) −0.613838 0.189344i −0.0199893 0.00616589i
\(944\) −0.822980 + 3.60571i −0.0267857 + 0.117356i
\(945\) −14.1984 −0.461873
\(946\) −25.3604 + 5.36161i −0.824539 + 0.174321i
\(947\) 30.6050 0.994527 0.497264 0.867599i \(-0.334338\pi\)
0.497264 + 0.867599i \(0.334338\pi\)
\(948\) −1.62647 + 7.12604i −0.0528254 + 0.231443i
\(949\) −41.9617 12.9435i −1.36213 0.420163i
\(950\) −0.227174 0.109401i −0.00737050 0.00354944i
\(951\) 10.6698 + 27.1863i 0.345993 + 0.881577i
\(952\) −7.58172 + 13.1319i −0.245725 + 0.425608i
\(953\) 16.5454 + 28.6575i 0.535959 + 0.928308i 0.999116 + 0.0420317i \(0.0133830\pi\)
−0.463158 + 0.886276i \(0.653284\pi\)
\(954\) −8.77960 + 11.0093i −0.284250 + 0.356438i
\(955\) −3.28676 2.24088i −0.106357 0.0725131i
\(956\) 19.1281 2.88310i 0.618648 0.0932462i
\(957\) 36.0932 17.3816i 1.16673 0.561867i
\(958\) 14.5257 + 13.4778i 0.469303 + 0.435450i
\(959\) −16.9855 2.56015i −0.548491 0.0826717i
\(960\) −1.23079 + 0.379647i −0.0397234 + 0.0122531i
\(961\) 2.14480 + 28.6204i 0.0691872 + 0.923238i
\(962\) −25.1853 31.5814i −0.812006 1.01822i
\(963\) 0.319613 0.814361i 0.0102994 0.0262424i
\(964\) −14.8501 + 13.7789i −0.478291 + 0.443789i
\(965\) −16.0659 + 10.9536i −0.517181 + 0.352608i
\(966\) −0.733086 + 9.78236i −0.0235867 + 0.314742i
\(967\) 5.53685 + 24.2585i 0.178053 + 0.780101i 0.982528 + 0.186115i \(0.0595896\pi\)
−0.804475 + 0.593987i \(0.797553\pi\)
\(968\) 1.02928 + 4.50959i 0.0330824 + 0.144944i
\(969\) 0.144922 1.93385i 0.00465556 0.0621242i
\(970\) 8.37105 5.70729i 0.268778 0.183250i
\(971\) −28.1288 + 26.0997i −0.902696 + 0.837580i −0.987305 0.158834i \(-0.949226\pi\)
0.0846089 + 0.996414i \(0.473036\pi\)
\(972\) −4.63249 + 11.8034i −0.148587 + 0.378594i
\(973\) −15.7743 19.7803i −0.505699 0.634127i
\(974\) 1.80866 + 24.1349i 0.0579532 + 0.773331i
\(975\) 6.10925 1.88445i 0.195653 0.0603509i
\(976\) −12.9397 1.95035i −0.414190 0.0624290i
\(977\) −20.9150 19.4063i −0.669130 0.620862i 0.270635 0.962682i \(-0.412766\pi\)
−0.939765 + 0.341820i \(0.888957\pi\)
\(978\) 14.4289 6.94860i 0.461386 0.222192i
\(979\) −68.3553 + 10.3029i −2.18464 + 0.329282i
\(980\) −0.455749 0.310724i −0.0145584 0.00992573i
\(981\) 1.83687 2.30336i 0.0586468 0.0735408i
\(982\) 17.0343 + 29.5042i 0.543586 + 0.941518i
\(983\) 18.1294 31.4011i 0.578239 1.00154i −0.417443 0.908703i \(-0.637074\pi\)
0.995681 0.0928354i \(-0.0295930\pi\)
\(984\) −0.100784 0.256794i −0.00321288 0.00818628i
\(985\) 5.57949 + 2.68694i 0.177777 + 0.0856130i
\(986\) 44.8968 + 13.8488i 1.42980 + 0.441036i
\(987\) 5.30083 23.2245i 0.168727 0.739243i
\(988\) 1.25157 0.0398177
\(989\) −19.5864 1.78436i −0.622811 0.0567393i
\(990\) −5.30100 −0.168477
\(991\) −9.59082 + 42.0201i −0.304662 + 1.33481i 0.558340 + 0.829612i \(0.311439\pi\)
−0.863002 + 0.505200i \(0.831419\pi\)
\(992\) 7.38335 + 2.27746i 0.234422 + 0.0723095i
\(993\) 19.8970 + 9.58191i 0.631413 + 0.304073i
\(994\) 7.21501 + 18.3835i 0.228846 + 0.583091i
\(995\) −5.00205 + 8.66381i −0.158576 + 0.274661i
\(996\) 1.79614 + 3.11101i 0.0569129 + 0.0985760i
\(997\) 2.97294 3.72795i 0.0941540 0.118065i −0.732523 0.680743i \(-0.761657\pi\)
0.826677 + 0.562677i \(0.190229\pi\)
\(998\) 2.45514 + 1.67389i 0.0777162 + 0.0529860i
\(999\) 44.9931 6.78161i 1.42352 0.214561i
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 430.2.q.c.81.2 48
43.17 even 21 inner 430.2.q.c.361.2 yes 48
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
430.2.q.c.81.2 48 1.1 even 1 trivial
430.2.q.c.361.2 yes 48 43.17 even 21 inner