Properties

Label 242.2.g.b.15.4
Level $242$
Weight $2$
Character 242.15
Analytic conductor $1.932$
Analytic rank $0$
Dimension $240$
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] = [242,2,Mod(5,242)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(242, base_ring=CyclotomicField(110))
 
chi = DirichletCharacter(H, H._module([74]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("242.5");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 242 = 2 \cdot 11^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 242.g (of order \(55\), degree \(40\), 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: \(1.93237972891\)
Analytic rank: \(0\)
Dimension: \(240\)
Relative dimension: \(6\) over \(\Q(\zeta_{55})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{55}]$

Embedding invariants

Embedding label 15.4
Character \(\chi\) \(=\) 242.15
Dual form 242.2.g.b.113.4

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(0.0855750 + 0.996332i) q^{2} +(0.416363 - 1.28143i) q^{3} +(-0.985354 + 0.170522i) q^{4} +(0.325006 - 0.0185845i) q^{5} +(1.31236 + 0.305177i) q^{6} +(0.546419 + 0.799112i) q^{7} +(-0.254218 - 0.967147i) q^{8} +(0.958336 + 0.696272i) q^{9} +O(q^{10})\) \(q+(0.0855750 + 0.996332i) q^{2} +(0.416363 - 1.28143i) q^{3} +(-0.985354 + 0.170522i) q^{4} +(0.325006 - 0.0185845i) q^{5} +(1.31236 + 0.305177i) q^{6} +(0.546419 + 0.799112i) q^{7} +(-0.254218 - 0.967147i) q^{8} +(0.958336 + 0.696272i) q^{9} +(0.0463288 + 0.322224i) q^{10} +(2.67377 + 1.96238i) q^{11} +(-0.191752 + 1.33367i) q^{12} +(4.53340 - 4.66475i) q^{13} +(-0.749421 + 0.612799i) q^{14} +(0.111506 - 0.424212i) q^{15} +(0.941844 - 0.336049i) q^{16} +(-1.44440 - 0.815688i) q^{17} +(-0.611708 + 1.01440i) q^{18} +(0.0647128 + 0.0593928i) q^{19} +(-0.317077 + 0.0737331i) q^{20} +(1.25152 - 0.367479i) q^{21} +(-1.72638 + 2.83189i) q^{22} +(1.19815 + 0.351810i) q^{23} +(-1.34518 - 0.0769203i) q^{24} +(-4.86213 + 0.557877i) q^{25} +(5.03559 + 4.11758i) q^{26} +(4.56140 - 3.31405i) q^{27} +(-0.674682 - 0.694232i) q^{28} +(-8.93831 - 1.02558i) q^{29} +(0.432198 + 0.0747948i) q^{30} +(-3.32586 + 6.30321i) q^{31} +(0.415415 + 0.909632i) q^{32} +(3.62793 - 2.60920i) q^{33} +(0.689092 - 1.50890i) q^{34} +(0.192441 + 0.249561i) q^{35} +(-1.06303 - 0.522657i) q^{36} +(-1.64532 + 0.808948i) q^{37} +(-0.0536372 + 0.0695579i) q^{38} +(-4.09004 - 7.75148i) q^{39} +(-0.100596 - 0.309604i) q^{40} +(-8.82990 + 3.73155i) q^{41} +(0.473230 + 1.21548i) q^{42} +(-3.11932 + 2.00466i) q^{43} +(-2.96924 - 1.47771i) q^{44} +(0.324405 + 0.208483i) q^{45} +(-0.247987 + 1.22386i) q^{46} +(2.66080 + 4.41244i) q^{47} +(-0.0384758 - 1.34683i) q^{48} +(2.19965 - 5.64975i) q^{49} +(-0.971907 - 4.79655i) q^{50} +(-1.64664 + 1.51128i) q^{51} +(-3.67156 + 5.36948i) q^{52} +(1.91596 + 0.683612i) q^{53} +(3.69224 + 4.26107i) q^{54} +(0.905462 + 0.588096i) q^{55} +(0.633949 - 0.731616i) q^{56} +(0.103052 - 0.0581962i) q^{57} +(0.256918 - 8.99329i) q^{58} +(2.77842 + 1.17417i) q^{59} +(-0.0375351 + 0.437013i) q^{60} +(1.08978 - 12.6881i) q^{61} +(-6.56470 - 2.77426i) q^{62} +(-0.0327464 + 1.14627i) q^{63} +(-0.870746 + 0.491733i) q^{64} +(1.38669 - 1.60033i) q^{65} +(2.91008 + 3.39133i) q^{66} +(-0.465558 - 0.537282i) q^{67} +(1.56233 + 0.557440i) q^{68} +(0.949688 - 1.38887i) q^{69} +(-0.232178 + 0.213091i) q^{70} +(0.0879319 + 0.433961i) q^{71} +(0.429771 - 1.10386i) q^{72} +(-0.319000 - 11.1665i) q^{73} +(-0.946778 - 1.57006i) q^{74} +(-1.30953 + 6.46277i) q^{75} +(-0.0738928 - 0.0474880i) q^{76} +(-0.107166 + 3.20893i) q^{77} +(7.37304 - 4.73837i) q^{78} +(-4.38991 - 11.2754i) q^{79} +(0.299860 - 0.126722i) q^{80} +(-1.24938 - 3.84521i) q^{81} +(-4.47348 - 8.47818i) q^{82} +(-9.90497 + 12.8450i) q^{83} +(-1.17053 + 0.575508i) q^{84} +(-0.484597 - 0.238260i) q^{85} +(-2.26424 - 2.93632i) q^{86} +(-5.03579 + 11.0268i) q^{87} +(1.21819 - 3.08480i) q^{88} +(4.65614 + 10.1955i) q^{89} +(-0.179957 + 0.341056i) q^{90} +(6.20480 + 1.07378i) q^{91} +(-1.24060 - 0.142345i) q^{92} +(6.69238 + 6.88630i) q^{93} +(-4.16855 + 3.02863i) q^{94} +(0.0221358 + 0.0181004i) q^{95} +(1.33860 - 0.153590i) q^{96} +(-6.84411 - 0.391360i) q^{97} +(5.81726 + 1.70810i) q^{98} +(1.19602 + 3.74230i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 240 q + 6 q^{2} - 8 q^{3} + 6 q^{4} + 5 q^{5} - 2 q^{6} - 2 q^{7} + 6 q^{8} - 80 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 240 q + 6 q^{2} - 8 q^{3} + 6 q^{4} + 5 q^{5} - 2 q^{6} - 2 q^{7} + 6 q^{8} - 80 q^{9} - 22 q^{10} - 10 q^{11} - 13 q^{12} - 30 q^{13} - 13 q^{14} - 30 q^{15} + 6 q^{16} - 4 q^{17} + 12 q^{18} + 4 q^{19} + 5 q^{20} + 20 q^{21} - 11 q^{22} - 21 q^{23} - 2 q^{24} - 7 q^{25} - 7 q^{26} + 46 q^{27} - 2 q^{28} - 13 q^{29} - 19 q^{30} - 68 q^{31} - 24 q^{32} - 11 q^{33} + 6 q^{34} - 16 q^{35} + 12 q^{36} - 75 q^{37} - 44 q^{38} + 178 q^{39} - 16 q^{40} - 4 q^{41} - 44 q^{42} + 14 q^{43} - 15 q^{44} + 4 q^{45} + 13 q^{46} - 7 q^{47} + 3 q^{48} - 46 q^{49} + 13 q^{50} + 21 q^{51} - 7 q^{52} + 12 q^{53} + 16 q^{54} - 26 q^{55} - 3 q^{56} - 57 q^{57} + 97 q^{58} - 41 q^{59} - 31 q^{60} - 48 q^{61} - 2 q^{62} - 81 q^{63} + 6 q^{64} - 75 q^{65} - 82 q^{66} - 41 q^{67} - 4 q^{68} - 22 q^{69} + 26 q^{70} - 69 q^{71} - 3 q^{72} - 64 q^{73} + 13 q^{74} - 2 q^{75} - 30 q^{76} + 162 q^{77} + 32 q^{78} - 33 q^{79} - 5 q^{80} - 131 q^{81} - 21 q^{82} + 10 q^{83} + 166 q^{84} - 122 q^{85} - 26 q^{86} - 17 q^{87} - 21 q^{88} - 13 q^{89} - 160 q^{90} - 44 q^{91} - 52 q^{92} - 49 q^{93} - 170 q^{94} - 295 q^{95} + 3 q^{96} - 88 q^{97} - 36 q^{98} - 119 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/242\mathbb{Z}\right)^\times\).

\(n\) \(123\)
\(\chi(n)\) \(e\left(\frac{26}{55}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.0855750 + 0.996332i 0.0605107 + 0.704513i
\(3\) 0.416363 1.28143i 0.240387 0.739836i −0.755974 0.654602i \(-0.772836\pi\)
0.996361 0.0852341i \(-0.0271638\pi\)
\(4\) −0.985354 + 0.170522i −0.492677 + 0.0852611i
\(5\) 0.325006 0.0185845i 0.145347 0.00831125i 0.0157362 0.999876i \(-0.494991\pi\)
0.129611 + 0.991565i \(0.458627\pi\)
\(6\) 1.31236 + 0.305177i 0.535770 + 0.124588i
\(7\) 0.546419 + 0.799112i 0.206527 + 0.302036i 0.914804 0.403899i \(-0.132345\pi\)
−0.708277 + 0.705935i \(0.750527\pi\)
\(8\) −0.254218 0.967147i −0.0898798 0.341938i
\(9\) 0.958336 + 0.696272i 0.319445 + 0.232091i
\(10\) 0.0463288 + 0.322224i 0.0146504 + 0.101896i
\(11\) 2.67377 + 1.96238i 0.806172 + 0.591681i
\(12\) −0.191752 + 1.33367i −0.0553541 + 0.384996i
\(13\) 4.53340 4.66475i 1.25734 1.29377i 0.319125 0.947713i \(-0.396611\pi\)
0.938213 0.346057i \(-0.112480\pi\)
\(14\) −0.749421 + 0.612799i −0.200291 + 0.163777i
\(15\) 0.111506 0.424212i 0.0287907 0.109531i
\(16\) 0.941844 0.336049i 0.235461 0.0840123i
\(17\) −1.44440 0.815688i −0.350318 0.197833i 0.306522 0.951863i \(-0.400835\pi\)
−0.656840 + 0.754030i \(0.728107\pi\)
\(18\) −0.611708 + 1.01440i −0.144181 + 0.239097i
\(19\) 0.0647128 + 0.0593928i 0.0148461 + 0.0136257i 0.683564 0.729891i \(-0.260429\pi\)
−0.668718 + 0.743517i \(0.733156\pi\)
\(20\) −0.317077 + 0.0737331i −0.0709006 + 0.0164872i
\(21\) 1.25152 0.367479i 0.273104 0.0801905i
\(22\) −1.72638 + 2.83189i −0.368065 + 0.603762i
\(23\) 1.19815 + 0.351810i 0.249832 + 0.0733574i 0.404251 0.914648i \(-0.367532\pi\)
−0.154419 + 0.988006i \(0.549350\pi\)
\(24\) −1.34518 0.0769203i −0.274584 0.0157013i
\(25\) −4.86213 + 0.557877i −0.972425 + 0.111575i
\(26\) 5.03559 + 4.11758i 0.987560 + 0.807524i
\(27\) 4.56140 3.31405i 0.877842 0.637790i
\(28\) −0.674682 0.694232i −0.127503 0.131197i
\(29\) −8.93831 1.02558i −1.65980 0.190445i −0.767238 0.641363i \(-0.778369\pi\)
−0.892565 + 0.450918i \(0.851097\pi\)
\(30\) 0.432198 + 0.0747948i 0.0789082 + 0.0136556i
\(31\) −3.32586 + 6.30321i −0.597342 + 1.13209i 0.380898 + 0.924617i \(0.375615\pi\)
−0.978241 + 0.207473i \(0.933476\pi\)
\(32\) 0.415415 + 0.909632i 0.0734357 + 0.160802i
\(33\) 3.62793 2.60920i 0.631541 0.454203i
\(34\) 0.689092 1.50890i 0.118178 0.258774i
\(35\) 0.192441 + 0.249561i 0.0325284 + 0.0421836i
\(36\) −1.06303 0.522657i −0.177172 0.0871095i
\(37\) −1.64532 + 0.808948i −0.270488 + 0.132990i −0.571426 0.820654i \(-0.693610\pi\)
0.300937 + 0.953644i \(0.402700\pi\)
\(38\) −0.0536372 + 0.0695579i −0.00870110 + 0.0112838i
\(39\) −4.09004 7.75148i −0.654930 1.24123i
\(40\) −0.100596 0.309604i −0.0159057 0.0489527i
\(41\) −8.82990 + 3.73155i −1.37900 + 0.582770i −0.947620 0.319401i \(-0.896518\pi\)
−0.431379 + 0.902171i \(0.641973\pi\)
\(42\) 0.473230 + 1.21548i 0.0730209 + 0.187553i
\(43\) −3.11932 + 2.00466i −0.475691 + 0.305708i −0.756428 0.654076i \(-0.773057\pi\)
0.280737 + 0.959785i \(0.409421\pi\)
\(44\) −2.96924 1.47771i −0.447630 0.222772i
\(45\) 0.324405 + 0.208483i 0.0483595 + 0.0310787i
\(46\) −0.247987 + 1.22386i −0.0365637 + 0.180449i
\(47\) 2.66080 + 4.41244i 0.388117 + 0.643620i 0.987640 0.156737i \(-0.0500976\pi\)
−0.599523 + 0.800357i \(0.704643\pi\)
\(48\) −0.0384758 1.34683i −0.00555351 0.194398i
\(49\) 2.19965 5.64975i 0.314235 0.807107i
\(50\) −0.971907 4.79655i −0.137448 0.678334i
\(51\) −1.64664 + 1.51128i −0.230576 + 0.211621i
\(52\) −3.67156 + 5.36948i −0.509153 + 0.744613i
\(53\) 1.91596 + 0.683612i 0.263177 + 0.0939013i 0.464342 0.885656i \(-0.346291\pi\)
−0.201165 + 0.979557i \(0.564473\pi\)
\(54\) 3.69224 + 4.26107i 0.502450 + 0.579858i
\(55\) 0.905462 + 0.588096i 0.122092 + 0.0792989i
\(56\) 0.633949 0.731616i 0.0847150 0.0977664i
\(57\) 0.103052 0.0581962i 0.0136496 0.00770827i
\(58\) 0.256918 8.99329i 0.0337349 1.18088i
\(59\) 2.77842 + 1.17417i 0.361719 + 0.152864i 0.562552 0.826762i \(-0.309819\pi\)
−0.200833 + 0.979625i \(0.564365\pi\)
\(60\) −0.0375351 + 0.437013i −0.00484576 + 0.0564181i
\(61\) 1.08978 12.6881i 0.139532 1.62455i −0.507200 0.861829i \(-0.669319\pi\)
0.646732 0.762717i \(-0.276135\pi\)
\(62\) −6.56470 2.77426i −0.833718 0.352332i
\(63\) −0.0327464 + 1.14627i −0.00412566 + 0.144417i
\(64\) −0.870746 + 0.491733i −0.108843 + 0.0614666i
\(65\) 1.38669 1.60033i 0.171998 0.198496i
\(66\) 2.91008 + 3.39133i 0.358207 + 0.417444i
\(67\) −0.465558 0.537282i −0.0568769 0.0656395i 0.726598 0.687063i \(-0.241100\pi\)
−0.783475 + 0.621423i \(0.786555\pi\)
\(68\) 1.56233 + 0.557440i 0.189461 + 0.0675995i
\(69\) 0.949688 1.38887i 0.114329 0.167201i
\(70\) −0.232178 + 0.213091i −0.0277506 + 0.0254692i
\(71\) 0.0879319 + 0.433961i 0.0104356 + 0.0515017i 0.984962 0.172771i \(-0.0552721\pi\)
−0.974526 + 0.224273i \(0.927999\pi\)
\(72\) 0.429771 1.10386i 0.0506490 0.130091i
\(73\) −0.319000 11.1665i −0.0373362 1.30694i −0.775083 0.631859i \(-0.782292\pi\)
0.737747 0.675077i \(-0.235890\pi\)
\(74\) −0.946778 1.57006i −0.110061 0.182515i
\(75\) −1.30953 + 6.46277i −0.151211 + 0.746257i
\(76\) −0.0738928 0.0474880i −0.00847608 0.00544725i
\(77\) −0.107166 + 3.20893i −0.0122127 + 0.365691i
\(78\) 7.37304 4.73837i 0.834832 0.536514i
\(79\) −4.38991 11.2754i −0.493903 1.26858i −0.929628 0.368500i \(-0.879871\pi\)
0.435724 0.900080i \(-0.356492\pi\)
\(80\) 0.299860 0.126722i 0.0335254 0.0141679i
\(81\) −1.24938 3.84521i −0.138820 0.427245i
\(82\) −4.47348 8.47818i −0.494013 0.936258i
\(83\) −9.90497 + 12.8450i −1.08721 + 1.40992i −0.182857 + 0.983139i \(0.558535\pi\)
−0.904355 + 0.426782i \(0.859647\pi\)
\(84\) −1.17053 + 0.575508i −0.127715 + 0.0627931i
\(85\) −0.484597 0.238260i −0.0525619 0.0258430i
\(86\) −2.26424 2.93632i −0.244160 0.316632i
\(87\) −5.03579 + 11.0268i −0.539894 + 1.18220i
\(88\) 1.21819 3.08480i 0.129860 0.328841i
\(89\) 4.65614 + 10.1955i 0.493550 + 1.08072i 0.978512 + 0.206188i \(0.0661059\pi\)
−0.484963 + 0.874535i \(0.661167\pi\)
\(90\) −0.179957 + 0.341056i −0.0189691 + 0.0359505i
\(91\) 6.20480 + 1.07378i 0.650439 + 0.112563i
\(92\) −1.24060 0.142345i −0.129341 0.0148405i
\(93\) 6.69238 + 6.88630i 0.693968 + 0.714076i
\(94\) −4.16855 + 3.02863i −0.429953 + 0.312379i
\(95\) 0.0221358 + 0.0181004i 0.00227109 + 0.00185706i
\(96\) 1.33860 0.153590i 0.136620 0.0156757i
\(97\) −6.84411 0.391360i −0.694914 0.0397366i −0.293937 0.955825i \(-0.594966\pi\)
−0.400977 + 0.916088i \(0.631329\pi\)
\(98\) 5.81726 + 1.70810i 0.587632 + 0.172544i
\(99\) 1.19602 + 3.74230i 0.120204 + 0.376115i
\(100\) 4.69578 1.37881i 0.469578 0.137881i
\(101\) 12.7218 2.95833i 1.26587 0.294365i 0.460776 0.887517i \(-0.347571\pi\)
0.805090 + 0.593152i \(0.202117\pi\)
\(102\) −1.64664 1.51128i −0.163042 0.149639i
\(103\) 5.13579 8.51674i 0.506044 0.839180i −0.493489 0.869752i \(-0.664279\pi\)
0.999533 + 0.0305726i \(0.00973308\pi\)
\(104\) −5.66398 3.19859i −0.555398 0.313648i
\(105\) 0.399922 0.142692i 0.0390284 0.0139253i
\(106\) −0.517146 + 1.96743i −0.0502297 + 0.191094i
\(107\) −5.60320 + 4.58171i −0.541681 + 0.442931i −0.863848 0.503752i \(-0.831952\pi\)
0.322167 + 0.946683i \(0.395589\pi\)
\(108\) −3.92947 + 4.04333i −0.378114 + 0.389070i
\(109\) −0.648585 + 4.51101i −0.0621232 + 0.432076i 0.934896 + 0.354922i \(0.115493\pi\)
−0.997019 + 0.0771544i \(0.975417\pi\)
\(110\) −0.508454 + 0.952467i −0.0484792 + 0.0908141i
\(111\) 0.351564 + 2.44518i 0.0333690 + 0.232086i
\(112\) 0.783183 + 0.569016i 0.0740038 + 0.0537669i
\(113\) 0.433018 + 1.64737i 0.0407349 + 0.154972i 0.984405 0.175915i \(-0.0562885\pi\)
−0.943670 + 0.330887i \(0.892652\pi\)
\(114\) 0.0668014 + 0.0976939i 0.00625652 + 0.00914987i
\(115\) 0.395946 + 0.0920732i 0.0369221 + 0.00858587i
\(116\) 8.98229 0.513626i 0.833984 0.0476889i
\(117\) 7.59246 1.31393i 0.701923 0.121473i
\(118\) −0.932098 + 2.86870i −0.0858066 + 0.264086i
\(119\) −0.137419 1.59994i −0.0125972 0.146667i
\(120\) −0.438622 −0.0400405
\(121\) 3.29810 + 10.4939i 0.299827 + 0.953994i
\(122\) 12.7348 1.15296
\(123\) 1.10529 + 12.8686i 0.0996603 + 1.16032i
\(124\) 2.20231 6.77803i 0.197774 0.608685i
\(125\) −3.17370 + 0.549230i −0.283864 + 0.0491246i
\(126\) −1.14487 + 0.0654661i −0.101993 + 0.00583219i
\(127\) 10.0429 + 2.33538i 0.891164 + 0.207231i 0.646989 0.762500i \(-0.276028\pi\)
0.244176 + 0.969731i \(0.421483\pi\)
\(128\) −0.564443 0.825472i −0.0498902 0.0729621i
\(129\) 1.27007 + 4.83187i 0.111824 + 0.425422i
\(130\) 1.71312 + 1.24465i 0.150251 + 0.109163i
\(131\) 1.57859 + 10.9793i 0.137922 + 0.959269i 0.934812 + 0.355144i \(0.115568\pi\)
−0.796890 + 0.604125i \(0.793523\pi\)
\(132\) −3.12986 + 3.18962i −0.272420 + 0.277621i
\(133\) −0.0121013 + 0.0841662i −0.00104931 + 0.00729813i
\(134\) 0.495471 0.509828i 0.0428022 0.0440424i
\(135\) 1.42089 1.16186i 0.122291 0.0999969i
\(136\) −0.421698 + 1.60431i −0.0361603 + 0.137568i
\(137\) −11.2101 + 3.99974i −0.957740 + 0.341721i −0.768241 0.640160i \(-0.778868\pi\)
−0.189498 + 0.981881i \(0.560686\pi\)
\(138\) 1.46505 + 0.827351i 0.124713 + 0.0704288i
\(139\) −5.30987 + 8.80543i −0.450377 + 0.746867i −0.995825 0.0912778i \(-0.970905\pi\)
0.545448 + 0.838144i \(0.316359\pi\)
\(140\) −0.232178 0.213091i −0.0196226 0.0180095i
\(141\) 6.76211 1.57246i 0.569472 0.132425i
\(142\) −0.424844 + 0.124745i −0.0356521 + 0.0104684i
\(143\) 21.2753 3.57622i 1.77913 0.299058i
\(144\) 1.13659 + 0.333732i 0.0947155 + 0.0278110i
\(145\) −2.92407 0.167204i −0.242831 0.0138856i
\(146\) 11.0982 1.27340i 0.918494 0.105387i
\(147\) −6.32393 5.17105i −0.521589 0.426501i
\(148\) 1.48328 1.07766i 0.121925 0.0885833i
\(149\) −12.8922 13.2657i −1.05617 1.08677i −0.996069 0.0885779i \(-0.971768\pi\)
−0.0600980 0.998192i \(-0.519141\pi\)
\(150\) −6.55113 0.751672i −0.534897 0.0613737i
\(151\) −19.9580 3.45387i −1.62416 0.281072i −0.715501 0.698612i \(-0.753802\pi\)
−0.908659 + 0.417540i \(0.862892\pi\)
\(152\) 0.0409904 0.0776855i 0.00332476 0.00630113i
\(153\) −0.816277 1.78740i −0.0659921 0.144502i
\(154\) −3.20633 + 0.167831i −0.258373 + 0.0135242i
\(155\) −0.963784 + 2.11039i −0.0774130 + 0.169511i
\(156\) 5.35193 + 6.94051i 0.428497 + 0.555685i
\(157\) 13.7788 + 6.77458i 1.09967 + 0.540671i 0.898539 0.438894i \(-0.144630\pi\)
0.201130 + 0.979565i \(0.435539\pi\)
\(158\) 10.8584 5.33870i 0.863845 0.424724i
\(159\) 1.67374 2.17054i 0.132736 0.172135i
\(160\) 0.151918 + 0.287916i 0.0120101 + 0.0227617i
\(161\) 0.373559 + 1.14969i 0.0294405 + 0.0906086i
\(162\) 3.72419 1.57385i 0.292600 0.123654i
\(163\) 5.17505 + 13.2920i 0.405341 + 1.04111i 0.975583 + 0.219633i \(0.0704859\pi\)
−0.570242 + 0.821477i \(0.693151\pi\)
\(164\) 8.06426 5.18259i 0.629713 0.404692i
\(165\) 1.13061 0.915428i 0.0880177 0.0712660i
\(166\) −13.6455 8.76943i −1.05910 0.680639i
\(167\) 1.59834 7.88810i 0.123683 0.610399i −0.869510 0.493916i \(-0.835565\pi\)
0.993193 0.116483i \(-0.0371622\pi\)
\(168\) −0.673565 1.11698i −0.0519667 0.0861770i
\(169\) −0.837024 29.2997i −0.0643865 2.25382i
\(170\) 0.195917 0.503209i 0.0150261 0.0385943i
\(171\) 0.0206630 + 0.101976i 0.00158014 + 0.00779830i
\(172\) 2.73179 2.50721i 0.208297 0.191173i
\(173\) 2.95769 4.32549i 0.224869 0.328861i −0.696495 0.717562i \(-0.745258\pi\)
0.921364 + 0.388701i \(0.127076\pi\)
\(174\) −11.4173 4.07370i −0.865546 0.308826i
\(175\) −3.10256 3.58055i −0.234532 0.270664i
\(176\) 3.17773 + 0.949741i 0.239531 + 0.0715895i
\(177\) 2.66145 3.07148i 0.200047 0.230866i
\(178\) −9.75967 + 5.51154i −0.731518 + 0.413107i
\(179\) −0.0336576 + 1.17817i −0.00251569 + 0.0880606i 0.997364 + 0.0725586i \(0.0231164\pi\)
−0.999880 + 0.0155020i \(0.995065\pi\)
\(180\) −0.355205 0.150111i −0.0264754 0.0111886i
\(181\) 1.24267 14.4681i 0.0923667 1.07541i −0.792597 0.609746i \(-0.791271\pi\)
0.884964 0.465660i \(-0.154183\pi\)
\(182\) −0.538868 + 6.27392i −0.0399435 + 0.465054i
\(183\) −15.8052 6.67935i −1.16836 0.493751i
\(184\) 0.0356590 1.24823i 0.00262881 0.0920205i
\(185\) −0.519704 + 0.293491i −0.0382094 + 0.0215779i
\(186\) −6.28834 + 7.25713i −0.461083 + 0.532118i
\(187\) −2.26129 5.01542i −0.165362 0.366764i
\(188\) −3.37425 3.89409i −0.246092 0.284005i
\(189\) 5.14074 + 1.83421i 0.373933 + 0.133419i
\(190\) −0.0161397 + 0.0236036i −0.00117090 + 0.00171238i
\(191\) 4.89433 4.49198i 0.354141 0.325028i −0.479284 0.877660i \(-0.659104\pi\)
0.833426 + 0.552632i \(0.186376\pi\)
\(192\) 0.267577 + 1.32054i 0.0193107 + 0.0953020i
\(193\) −1.38097 + 3.54700i −0.0994047 + 0.255319i −0.972781 0.231728i \(-0.925562\pi\)
0.873376 + 0.487047i \(0.161926\pi\)
\(194\) −0.195760 6.85249i −0.0140547 0.491980i
\(195\) −1.47334 2.44327i −0.105508 0.174966i
\(196\) −1.20402 + 5.94209i −0.0860017 + 0.424435i
\(197\) 12.4095 + 7.97513i 0.884143 + 0.568205i 0.902048 0.431635i \(-0.142063\pi\)
−0.0179048 + 0.999840i \(0.505700\pi\)
\(198\) −3.62622 + 1.51188i −0.257704 + 0.107444i
\(199\) −6.71256 + 4.31390i −0.475841 + 0.305804i −0.756489 0.654007i \(-0.773087\pi\)
0.280648 + 0.959811i \(0.409451\pi\)
\(200\) 1.77559 + 4.56057i 0.125553 + 0.322481i
\(201\) −0.882333 + 0.372877i −0.0622350 + 0.0263007i
\(202\) 4.03614 + 12.4220i 0.283982 + 0.874007i
\(203\) −4.06451 7.70311i −0.285273 0.540652i
\(204\) 1.36482 1.76993i 0.0955566 0.123920i
\(205\) −2.80042 + 1.37688i −0.195590 + 0.0961651i
\(206\) 8.92500 + 4.38813i 0.621834 + 0.305735i
\(207\) 0.903279 + 1.17139i 0.0627822 + 0.0814174i
\(208\) 2.70217 5.91692i 0.187361 0.410264i
\(209\) 0.0564755 + 0.285794i 0.00390649 + 0.0197688i
\(210\) 0.176392 + 0.386244i 0.0121722 + 0.0266534i
\(211\) 7.01585 13.2965i 0.482991 0.915370i −0.515305 0.857007i \(-0.672321\pi\)
0.998295 0.0583624i \(-0.0185879\pi\)
\(212\) −2.00447 0.346887i −0.137667 0.0238243i
\(213\) 0.592704 + 0.0680064i 0.0406114 + 0.00465972i
\(214\) −5.04440 5.19056i −0.344828 0.354819i
\(215\) −0.976541 + 0.709499i −0.0665996 + 0.0483874i
\(216\) −4.36477 3.56905i −0.296985 0.242843i
\(217\) −6.85429 + 0.786456i −0.465299 + 0.0533881i
\(218\) −4.54996 0.260176i −0.308162 0.0176214i
\(219\) −14.4419 4.24053i −0.975894 0.286548i
\(220\) −0.992484 0.425082i −0.0669132 0.0286590i
\(221\) −10.3530 + 3.03992i −0.696419 + 0.204487i
\(222\) −2.40613 + 0.559521i −0.161489 + 0.0375526i
\(223\) −1.72721 1.58522i −0.115662 0.106154i 0.616257 0.787545i \(-0.288648\pi\)
−0.731920 + 0.681391i \(0.761375\pi\)
\(224\) −0.499907 + 0.829003i −0.0334015 + 0.0553901i
\(225\) −5.04798 2.85073i −0.336532 0.190049i
\(226\) −1.60427 + 0.572404i −0.106715 + 0.0380757i
\(227\) −1.31692 + 5.01007i −0.0874068 + 0.332530i −0.996452 0.0841686i \(-0.973177\pi\)
0.909045 + 0.416699i \(0.136813\pi\)
\(228\) −0.0916190 + 0.0749165i −0.00606761 + 0.00496146i
\(229\) −2.07761 + 2.13781i −0.137292 + 0.141270i −0.782291 0.622914i \(-0.785949\pi\)
0.644999 + 0.764184i \(0.276858\pi\)
\(230\) −0.0578524 + 0.402372i −0.00381467 + 0.0265316i
\(231\) 4.06741 + 1.47341i 0.267616 + 0.0969430i
\(232\) 1.28040 + 8.90538i 0.0840624 + 0.584667i
\(233\) 0.334734 + 0.243199i 0.0219292 + 0.0159325i 0.598696 0.800976i \(-0.295686\pi\)
−0.576767 + 0.816909i \(0.695686\pi\)
\(234\) 1.95883 + 7.45217i 0.128053 + 0.487163i
\(235\) 0.946779 + 1.38462i 0.0617610 + 0.0903226i
\(236\) −2.93795 0.683190i −0.191244 0.0444719i
\(237\) −16.2765 + 0.930722i −1.05727 + 0.0604569i
\(238\) 1.58231 0.273830i 0.102566 0.0177498i
\(239\) 1.80273 5.54823i 0.116609 0.358885i −0.875670 0.482909i \(-0.839580\pi\)
0.992279 + 0.124024i \(0.0395800\pi\)
\(240\) −0.0375351 0.437013i −0.00242288 0.0282091i
\(241\) −0.119704 −0.00771079 −0.00385540 0.999993i \(-0.501227\pi\)
−0.00385540 + 0.999993i \(0.501227\pi\)
\(242\) −10.1732 + 4.18402i −0.653958 + 0.268959i
\(243\) 11.4670 0.735610
\(244\) 1.08978 + 12.6881i 0.0697662 + 0.812273i
\(245\) 0.609901 1.87708i 0.0389651 0.119922i
\(246\) −12.7268 + 2.20246i −0.811432 + 0.140424i
\(247\) 0.570422 0.0326179i 0.0362951 0.00207543i
\(248\) 6.94162 + 1.61421i 0.440794 + 0.102502i
\(249\) 12.3359 + 18.0407i 0.781759 + 1.14329i
\(250\) −0.818805 3.11506i −0.0517858 0.197013i
\(251\) 0.437680 + 0.317993i 0.0276261 + 0.0200715i 0.601513 0.798863i \(-0.294565\pi\)
−0.573887 + 0.818935i \(0.694565\pi\)
\(252\) −0.163198 1.13507i −0.0102805 0.0715027i
\(253\) 2.51320 + 3.29190i 0.158004 + 0.206960i
\(254\) −1.46739 + 10.2059i −0.0920722 + 0.640376i
\(255\) −0.507083 + 0.521776i −0.0317548 + 0.0326749i
\(256\) 0.774142 0.633012i 0.0483839 0.0395633i
\(257\) 3.93480 14.9695i 0.245446 0.933773i −0.724266 0.689521i \(-0.757821\pi\)
0.969712 0.244252i \(-0.0785425\pi\)
\(258\) −4.70545 + 1.67890i −0.292949 + 0.104524i
\(259\) −1.54547 0.872769i −0.0960310 0.0542312i
\(260\) −1.09349 + 1.81335i −0.0678153 + 0.112459i
\(261\) −7.85183 7.20635i −0.486016 0.446062i
\(262\) −10.8040 + 2.51236i −0.667471 + 0.155214i
\(263\) −17.7693 + 5.21754i −1.09570 + 0.321727i −0.779144 0.626845i \(-0.784346\pi\)
−0.316559 + 0.948573i \(0.602528\pi\)
\(264\) −3.44576 2.84543i −0.212072 0.175124i
\(265\) 0.635402 + 0.186571i 0.0390325 + 0.0114610i
\(266\) −0.0848930 0.00485436i −0.00520512 0.000297640i
\(267\) 15.0035 1.72149i 0.918201 0.105354i
\(268\) 0.550358 + 0.450025i 0.0336185 + 0.0274897i
\(269\) −19.9709 + 14.5097i −1.21765 + 0.884671i −0.995902 0.0904339i \(-0.971175\pi\)
−0.221743 + 0.975105i \(0.571175\pi\)
\(270\) 1.27919 + 1.31626i 0.0778490 + 0.0801047i
\(271\) 27.8867 + 3.19970i 1.69400 + 0.194368i 0.906575 0.422044i \(-0.138687\pi\)
0.787423 + 0.616413i \(0.211415\pi\)
\(272\) −1.63451 0.282863i −0.0991066 0.0171511i
\(273\) 3.95943 7.50395i 0.239636 0.454160i
\(274\) −4.94437 10.8267i −0.298700 0.654062i
\(275\) −14.0950 8.04972i −0.849959 0.485417i
\(276\) −0.698945 + 1.53048i −0.0420715 + 0.0921238i
\(277\) 5.46147 + 7.08256i 0.328148 + 0.425550i 0.926856 0.375418i \(-0.122501\pi\)
−0.598708 + 0.800968i \(0.704319\pi\)
\(278\) −9.22752 4.53687i −0.553430 0.272103i
\(279\) −7.57604 + 3.72489i −0.453566 + 0.223003i
\(280\) 0.192441 0.249561i 0.0115005 0.0149142i
\(281\) 0.769844 + 1.45902i 0.0459251 + 0.0870377i 0.906324 0.422583i \(-0.138877\pi\)
−0.860399 + 0.509621i \(0.829786\pi\)
\(282\) 2.14536 + 6.60274i 0.127754 + 0.393187i
\(283\) 6.62607 2.80020i 0.393879 0.166455i −0.183329 0.983052i \(-0.558687\pi\)
0.577208 + 0.816597i \(0.304142\pi\)
\(284\) −0.160644 0.412611i −0.00953246 0.0244839i
\(285\) 0.0324110 0.0208293i 0.00191986 0.00123382i
\(286\) 5.38373 + 20.8912i 0.318347 + 1.23532i
\(287\) −7.80675 5.01709i −0.460818 0.296150i
\(288\) −0.235244 + 1.16098i −0.0138619 + 0.0684111i
\(289\) −7.35782 12.2016i −0.432813 0.717740i
\(290\) −0.0836362 2.92765i −0.00491129 0.171917i
\(291\) −3.35114 + 8.60733i −0.196447 + 0.504570i
\(292\) 2.21846 + 10.9485i 0.129826 + 0.640714i
\(293\) 8.47666 7.77981i 0.495212 0.454501i −0.389237 0.921137i \(-0.627261\pi\)
0.884449 + 0.466636i \(0.154534\pi\)
\(294\) 4.61091 6.74324i 0.268914 0.393274i
\(295\) 0.924824 + 0.329976i 0.0538453 + 0.0192120i
\(296\) 1.20064 + 1.38561i 0.0697858 + 0.0805372i
\(297\) 18.6996 + 0.0902070i 1.08506 + 0.00523434i
\(298\) 12.1138 13.9801i 0.701734 0.809845i
\(299\) 7.07281 3.99420i 0.409031 0.230991i
\(300\) 0.188302 6.59142i 0.0108716 0.380556i
\(301\) −3.30640 1.39730i −0.190578 0.0805389i
\(302\) 1.73329 20.1804i 0.0997398 1.16125i
\(303\) 1.50599 17.5339i 0.0865166 1.00730i
\(304\) 0.0809083 + 0.0341921i 0.00464041 + 0.00196105i
\(305\) 0.118384 4.14397i 0.00677863 0.237283i
\(306\) 1.71099 0.966239i 0.0978106 0.0552362i
\(307\) −0.661649 + 0.763584i −0.0377623 + 0.0435800i −0.774317 0.632798i \(-0.781906\pi\)
0.736554 + 0.676379i \(0.236452\pi\)
\(308\) −0.441596 3.18020i −0.0251623 0.181209i
\(309\) −8.77529 10.1272i −0.499209 0.576118i
\(310\) −2.18513 0.779651i −0.124107 0.0442812i
\(311\) 13.7572 20.1193i 0.780101 1.14086i −0.206618 0.978422i \(-0.566246\pi\)
0.986719 0.162439i \(-0.0519361\pi\)
\(312\) −6.45706 + 5.92623i −0.365559 + 0.335507i
\(313\) 6.36940 + 31.4342i 0.360020 + 1.77677i 0.593936 + 0.804512i \(0.297573\pi\)
−0.233916 + 0.972257i \(0.575154\pi\)
\(314\) −5.57061 + 14.3080i −0.314368 + 0.807447i
\(315\) 0.0106602 + 0.373155i 0.000600633 + 0.0210249i
\(316\) 6.24832 + 10.3617i 0.351495 + 0.582890i
\(317\) 3.65827 18.0543i 0.205469 1.01403i −0.736013 0.676967i \(-0.763294\pi\)
0.941482 0.337063i \(-0.109433\pi\)
\(318\) 2.30581 + 1.48185i 0.129303 + 0.0830982i
\(319\) −21.8864 20.2826i −1.22540 1.13561i
\(320\) −0.273859 + 0.175999i −0.0153092 + 0.00983862i
\(321\) 3.53820 + 9.08778i 0.197483 + 0.507230i
\(322\) −1.11351 + 0.470573i −0.0620535 + 0.0262240i
\(323\) −0.0450249 0.138572i −0.00250525 0.00771037i
\(324\) 1.88678 + 3.57584i 0.104821 + 0.198658i
\(325\) −19.4396 + 25.2097i −1.07831 + 1.39838i
\(326\) −12.8004 + 6.29352i −0.708948 + 0.348566i
\(327\) 5.51051 + 2.70934i 0.304732 + 0.149827i
\(328\) 5.85368 + 7.59118i 0.323215 + 0.419153i
\(329\) −2.07212 + 4.53732i −0.114240 + 0.250150i
\(330\) 1.00882 + 1.04812i 0.0555338 + 0.0576972i
\(331\) 8.87801 + 19.4401i 0.487979 + 1.06853i 0.980192 + 0.198051i \(0.0634610\pi\)
−0.492212 + 0.870475i \(0.663812\pi\)
\(332\) 7.56954 14.3459i 0.415433 0.787333i
\(333\) −2.14001 0.370344i −0.117272 0.0202947i
\(334\) 7.99594 + 0.917448i 0.437518 + 0.0502005i
\(335\) −0.161294 0.165968i −0.00881245 0.00906780i
\(336\) 1.05524 0.766680i 0.0575683 0.0418258i
\(337\) 3.70762 + 3.03171i 0.201967 + 0.165148i 0.728587 0.684953i \(-0.240177\pi\)
−0.526620 + 0.850101i \(0.676541\pi\)
\(338\) 29.1206 3.34127i 1.58395 0.181741i
\(339\) 2.29129 + 0.131021i 0.124446 + 0.00711607i
\(340\) 0.518128 + 0.152136i 0.0280995 + 0.00825074i
\(341\) −21.2619 + 10.3267i −1.15140 + 0.559223i
\(342\) −0.0998337 + 0.0293138i −0.00539839 + 0.00158511i
\(343\) 12.3171 2.86421i 0.665060 0.154653i
\(344\) 2.73179 + 2.50721i 0.147288 + 0.135180i
\(345\) 0.282843 0.469042i 0.0152277 0.0252524i
\(346\) 4.56272 + 2.57669i 0.245294 + 0.138524i
\(347\) 29.3154 10.4597i 1.57373 0.561507i 0.602186 0.798356i \(-0.294296\pi\)
0.971547 + 0.236849i \(0.0761146\pi\)
\(348\) 3.08172 11.7241i 0.165197 0.628476i
\(349\) 3.62255 2.96214i 0.193911 0.158560i −0.531073 0.847326i \(-0.678211\pi\)
0.724984 + 0.688766i \(0.241847\pi\)
\(350\) 3.30191 3.39759i 0.176495 0.181609i
\(351\) 5.21940 36.3017i 0.278591 1.93764i
\(352\) −0.674323 + 3.24735i −0.0359415 + 0.173084i
\(353\) 4.52346 + 31.4614i 0.240760 + 1.67452i 0.648340 + 0.761351i \(0.275464\pi\)
−0.407580 + 0.913169i \(0.633627\pi\)
\(354\) 3.28796 + 2.38885i 0.174753 + 0.126966i
\(355\) 0.0366434 + 0.139406i 0.00194483 + 0.00739889i
\(356\) −6.32651 9.25222i −0.335304 0.490367i
\(357\) −2.10744 0.490064i −0.111537 0.0259369i
\(358\) −1.17673 + 0.0672878i −0.0621921 + 0.00355627i
\(359\) 12.5423 2.17053i 0.661956 0.114556i 0.170363 0.985381i \(-0.445506\pi\)
0.491593 + 0.870825i \(0.336415\pi\)
\(360\) 0.119163 0.366747i 0.00628047 0.0193293i
\(361\) −1.62526 18.9226i −0.0855403 0.995927i
\(362\) 14.5214 0.763227
\(363\) 14.8205 + 0.142992i 0.777874 + 0.00750512i
\(364\) −6.29702 −0.330054
\(365\) −0.311201 3.62324i −0.0162890 0.189649i
\(366\) 5.30231 16.3188i 0.277156 0.852999i
\(367\) −6.31488 + 1.09283i −0.329634 + 0.0570455i −0.332937 0.942949i \(-0.608040\pi\)
0.00330267 + 0.999995i \(0.498949\pi\)
\(368\) 1.24670 0.0712889i 0.0649887 0.00371619i
\(369\) −11.0602 2.57194i −0.575770 0.133890i
\(370\) −0.336888 0.492682i −0.0175140 0.0256133i
\(371\) 0.500632 + 1.90460i 0.0259915 + 0.0988821i
\(372\) −7.76863 5.64424i −0.402785 0.292640i
\(373\) 2.08151 + 14.4772i 0.107776 + 0.749601i 0.970006 + 0.243082i \(0.0781586\pi\)
−0.862229 + 0.506518i \(0.830932\pi\)
\(374\) 4.80352 2.68219i 0.248384 0.138693i
\(375\) −0.617609 + 4.29556i −0.0318932 + 0.221822i
\(376\) 3.59105 3.69510i 0.185194 0.190560i
\(377\) −45.3050 + 37.0457i −2.33333 + 1.90795i
\(378\) −1.38756 + 5.27884i −0.0713686 + 0.271514i
\(379\) 16.5591 5.90826i 0.850582 0.303487i 0.125453 0.992100i \(-0.459962\pi\)
0.725129 + 0.688613i \(0.241780\pi\)
\(380\) −0.0248982 0.0140606i −0.00127725 0.000721295i
\(381\) 7.17413 11.8970i 0.367542 0.609500i
\(382\) 4.89433 + 4.49198i 0.250416 + 0.229830i
\(383\) 18.3544 4.26814i 0.937867 0.218092i 0.270415 0.962744i \(-0.412839\pi\)
0.667453 + 0.744652i \(0.267385\pi\)
\(384\) −1.29280 + 0.379601i −0.0659730 + 0.0193714i
\(385\) 0.0248067 + 1.04491i 0.00126426 + 0.0532537i
\(386\) −3.65217 1.07237i −0.185891 0.0545824i
\(387\) −4.38514 0.250752i −0.222909 0.0127464i
\(388\) 6.81061 0.781444i 0.345756 0.0396718i
\(389\) 28.2460 + 23.0967i 1.43213 + 1.17105i 0.956621 + 0.291336i \(0.0940999\pi\)
0.475510 + 0.879711i \(0.342264\pi\)
\(390\) 2.30822 1.67702i 0.116881 0.0849193i
\(391\) −1.44364 1.48547i −0.0730081 0.0751236i
\(392\) −6.02333 0.691112i −0.304224 0.0349064i
\(393\) 14.7266 + 2.54853i 0.742856 + 0.128556i
\(394\) −6.88393 + 13.0465i −0.346807 + 0.657273i
\(395\) −1.63630 3.58299i −0.0823310 0.180280i
\(396\) −1.81665 3.48354i −0.0912899 0.175054i
\(397\) 10.8268 23.7073i 0.543380 1.18984i −0.416426 0.909170i \(-0.636717\pi\)
0.959805 0.280666i \(-0.0905554\pi\)
\(398\) −4.87250 6.31877i −0.244236 0.316731i
\(399\) 0.102815 + 0.0505507i 0.00514718 + 0.00253070i
\(400\) −4.39189 + 2.15935i −0.219595 + 0.107967i
\(401\) 14.7964 19.1883i 0.738896 0.958217i −0.261079 0.965318i \(-0.584078\pi\)
0.999975 + 0.00710008i \(0.00226005\pi\)
\(402\) −0.447015 0.847187i −0.0222951 0.0422539i
\(403\) 14.3255 + 44.0893i 0.713603 + 2.19624i
\(404\) −12.0310 + 5.08435i −0.598565 + 0.252956i
\(405\) −0.477519 1.22650i −0.0237281 0.0609451i
\(406\) 7.32703 4.70880i 0.363635 0.233694i
\(407\) −5.98667 1.06580i −0.296748 0.0528299i
\(408\) 1.88023 + 1.20835i 0.0930854 + 0.0598224i
\(409\) −1.90932 + 9.42288i −0.0944100 + 0.465932i 0.904787 + 0.425864i \(0.140030\pi\)
−0.999197 + 0.0400672i \(0.987243\pi\)
\(410\) −1.61147 2.67232i −0.0795849 0.131977i
\(411\) 0.457949 + 16.0303i 0.0225889 + 0.790716i
\(412\) −3.60827 + 9.26777i −0.177767 + 0.456590i
\(413\) 0.579887 + 2.86185i 0.0285344 + 0.140823i
\(414\) −1.08980 + 1.00021i −0.0535606 + 0.0491575i
\(415\) −2.98046 + 4.35878i −0.146305 + 0.213964i
\(416\) 6.12645 + 2.18591i 0.300374 + 0.107173i
\(417\) 9.07274 + 10.4705i 0.444294 + 0.512743i
\(418\) −0.279913 + 0.0807252i −0.0136910 + 0.00394840i
\(419\) −16.7169 + 19.2923i −0.816674 + 0.942492i −0.999171 0.0407145i \(-0.987037\pi\)
0.182497 + 0.983206i \(0.441582\pi\)
\(420\) −0.369732 + 0.208797i −0.0180411 + 0.0101883i
\(421\) −0.965253 + 33.7883i −0.0470436 + 1.64674i 0.543265 + 0.839561i \(0.317188\pi\)
−0.590308 + 0.807178i \(0.700994\pi\)
\(422\) 13.8481 + 5.85226i 0.674116 + 0.284884i
\(423\) −0.522318 + 6.08124i −0.0253960 + 0.295680i
\(424\) 0.174082 2.02680i 0.00845416 0.0984300i
\(425\) 7.47789 + 3.16018i 0.362731 + 0.153291i
\(426\) −0.0170363 + 0.596349i −0.000825413 + 0.0288932i
\(427\) 10.7347 6.06217i 0.519489 0.293369i
\(428\) 4.73985 5.47007i 0.229109 0.264406i
\(429\) 4.27556 28.7519i 0.206426 1.38815i
\(430\) −0.790464 0.912244i −0.0381195 0.0439923i
\(431\) −37.0722 13.2273i −1.78570 0.637138i −0.999824 0.0187575i \(-0.994029\pi\)
−0.785879 0.618380i \(-0.787789\pi\)
\(432\) 3.18244 4.65418i 0.153115 0.223924i
\(433\) −17.7039 + 16.2485i −0.850795 + 0.780852i −0.977466 0.211092i \(-0.932298\pi\)
0.126671 + 0.991945i \(0.459571\pi\)
\(434\) −1.37013 6.76184i −0.0657682 0.324579i
\(435\) −1.43173 + 3.67738i −0.0686464 + 0.176317i
\(436\) −0.130141 4.55554i −0.00623263 0.218171i
\(437\) 0.0566409 + 0.0939283i 0.00270950 + 0.00449320i
\(438\) 2.98911 14.7518i 0.142825 0.704869i
\(439\) −23.3737 15.0214i −1.11557 0.716932i −0.153069 0.988216i \(-0.548916\pi\)
−0.962500 + 0.271283i \(0.912552\pi\)
\(440\) 0.338590 1.02522i 0.0161417 0.0488754i
\(441\) 6.04176 3.88281i 0.287703 0.184896i
\(442\) −3.91473 10.0549i −0.186205 0.478262i
\(443\) −17.4255 + 7.36407i −0.827910 + 0.349878i −0.761701 0.647928i \(-0.775636\pi\)
−0.0662084 + 0.997806i \(0.521090\pi\)
\(444\) −0.763373 2.34942i −0.0362281 0.111498i
\(445\) 1.70275 + 3.22708i 0.0807182 + 0.152978i
\(446\) 1.43160 1.85653i 0.0677880 0.0879091i
\(447\) −22.3670 + 10.9971i −1.05792 + 0.520145i
\(448\) −0.868742 0.427132i −0.0410442 0.0201801i
\(449\) −7.07606 9.17639i −0.333940 0.433061i 0.594754 0.803908i \(-0.297249\pi\)
−0.928694 + 0.370847i \(0.879068\pi\)
\(450\) 2.40829 5.27342i 0.113528 0.248591i
\(451\) −30.9318 7.35035i −1.45652 0.346115i
\(452\) −0.707589 1.54940i −0.0332822 0.0728779i
\(453\) −12.7357 + 24.1368i −0.598375 + 1.13405i
\(454\) −5.10439 0.883349i −0.239561 0.0414576i
\(455\) 2.03655 + 0.233673i 0.0954751 + 0.0109547i
\(456\) −0.0824819 0.0848719i −0.00386257 0.00397449i
\(457\) 26.4486 19.2160i 1.23721 0.898888i 0.239804 0.970821i \(-0.422917\pi\)
0.997409 + 0.0719328i \(0.0229167\pi\)
\(458\) −2.30775 1.88704i −0.107834 0.0881757i
\(459\) −9.29171 + 1.06612i −0.433700 + 0.0497624i
\(460\) −0.405847 0.0232072i −0.0189227 0.00108204i
\(461\) −12.6693 3.72005i −0.590069 0.173260i −0.0269517 0.999637i \(-0.508580\pi\)
−0.563118 + 0.826377i \(0.690398\pi\)
\(462\) −1.11993 + 4.17857i −0.0521040 + 0.194405i
\(463\) 19.0206 5.58494i 0.883961 0.259554i 0.191918 0.981411i \(-0.438529\pi\)
0.692043 + 0.721857i \(0.256711\pi\)
\(464\) −8.76315 + 2.03778i −0.406819 + 0.0946017i
\(465\) 2.30304 + 2.11371i 0.106801 + 0.0980212i
\(466\) −0.213662 + 0.354318i −0.00989769 + 0.0164135i
\(467\) 14.7821 + 8.34782i 0.684033 + 0.386291i 0.794229 0.607619i \(-0.207875\pi\)
−0.110196 + 0.993910i \(0.535148\pi\)
\(468\) −7.25720 + 2.58936i −0.335464 + 0.119693i
\(469\) 0.174959 0.665614i 0.00807887 0.0307352i
\(470\) −1.29852 + 1.06179i −0.0598963 + 0.0489769i
\(471\) 14.4182 14.8359i 0.664354 0.683604i
\(472\) 0.429269 2.98563i 0.0197587 0.137425i
\(473\) −12.2743 0.761288i −0.564371 0.0350041i
\(474\) −2.32017 16.1371i −0.106569 0.741202i
\(475\) −0.347776 0.252674i −0.0159570 0.0115935i
\(476\) 0.408232 + 1.55308i 0.0187113 + 0.0711852i
\(477\) 1.36015 + 1.98916i 0.0622770 + 0.0910773i
\(478\) 5.68215 + 1.32133i 0.259895 + 0.0604361i
\(479\) 1.86942 0.106897i 0.0854160 0.00488426i −0.0143286 0.999897i \(-0.504561\pi\)
0.0997445 + 0.995013i \(0.468197\pi\)
\(480\) 0.432198 0.0747948i 0.0197270 0.00341390i
\(481\) −3.68533 + 11.3423i −0.168037 + 0.517163i
\(482\) −0.0102436 0.119265i −0.000466585 0.00543235i
\(483\) 1.62879 0.0741127
\(484\) −5.03924 9.77783i −0.229056 0.444447i
\(485\) −2.23165 −0.101334
\(486\) 0.981291 + 11.4250i 0.0445123 + 0.518247i
\(487\) 10.7792 33.1749i 0.488451 1.50330i −0.338469 0.940977i \(-0.609909\pi\)
0.826920 0.562319i \(-0.190091\pi\)
\(488\) −12.5483 + 2.17157i −0.568035 + 0.0983024i
\(489\) 19.1875 1.09718i 0.867689 0.0496163i
\(490\) 1.92239 + 0.447032i 0.0868447 + 0.0201949i
\(491\) −20.0748 29.3585i −0.905964 1.32493i −0.945469 0.325711i \(-0.894396\pi\)
0.0395048 0.999219i \(-0.487422\pi\)
\(492\) −3.28348 12.4917i −0.148031 0.563167i
\(493\) 12.0739 + 8.77222i 0.543782 + 0.395081i
\(494\) 0.0813121 + 0.565538i 0.00365840 + 0.0254448i
\(495\) 0.458262 + 1.19404i 0.0205973 + 0.0536682i
\(496\) −1.01425 + 7.05430i −0.0455414 + 0.316747i
\(497\) −0.298736 + 0.307392i −0.0134001 + 0.0137884i
\(498\) −16.9189 + 13.8345i −0.758155 + 0.619940i
\(499\) −5.40120 + 20.5483i −0.241791 + 0.919869i 0.729889 + 0.683566i \(0.239572\pi\)
−0.971680 + 0.236302i \(0.924064\pi\)
\(500\) 3.03356 1.08237i 0.135665 0.0484052i
\(501\) −9.44258 5.33247i −0.421864 0.238237i
\(502\) −0.279372 + 0.463286i −0.0124690 + 0.0206775i
\(503\) 15.1294 + 13.8856i 0.674584 + 0.619128i 0.938443 0.345433i \(-0.112268\pi\)
−0.263859 + 0.964561i \(0.584995\pi\)
\(504\) 1.11694 0.259733i 0.0497525 0.0115694i
\(505\) 4.07968 1.19790i 0.181544 0.0533060i
\(506\) −3.06475 + 2.78569i −0.136245 + 0.123839i
\(507\) −37.8941 11.1267i −1.68294 0.494154i
\(508\) −10.2941 0.588635i −0.456725 0.0261165i
\(509\) −9.81559 + 1.12623i −0.435068 + 0.0499194i −0.328759 0.944414i \(-0.606631\pi\)
−0.106309 + 0.994333i \(0.533903\pi\)
\(510\) −0.563256 0.460572i −0.0249414 0.0203945i
\(511\) 8.74896 6.35649i 0.387031 0.281194i
\(512\) 0.696938 + 0.717132i 0.0308006 + 0.0316930i
\(513\) 0.492012 + 0.0564531i 0.0217229 + 0.00249247i
\(514\) 15.2513 + 2.63935i 0.672707 + 0.116417i
\(515\) 1.51088 2.86344i 0.0665774 0.126178i
\(516\) −2.07541 4.54452i −0.0913650 0.200061i
\(517\) −1.54453 + 17.0194i −0.0679286 + 0.748510i
\(518\) 0.737313 1.61449i 0.0323957 0.0709366i
\(519\) −4.31135 5.59106i −0.189247 0.245420i
\(520\) −1.90027 0.934300i −0.0833324 0.0409718i
\(521\) −7.52492 + 3.69976i −0.329673 + 0.162089i −0.598550 0.801085i \(-0.704256\pi\)
0.268878 + 0.963174i \(0.413347\pi\)
\(522\) 6.50799 8.43971i 0.284847 0.369396i
\(523\) 12.9897 + 24.6182i 0.567999 + 1.07648i 0.985798 + 0.167938i \(0.0537108\pi\)
−0.417799 + 0.908540i \(0.637198\pi\)
\(524\) −3.42769 10.5493i −0.149739 0.460850i
\(525\) −5.88003 + 2.48492i −0.256626 + 0.108451i
\(526\) −6.71901 17.2576i −0.292963 0.752469i
\(527\) 9.94532 6.39147i 0.433225 0.278417i
\(528\) 2.54012 3.67662i 0.110545 0.160004i
\(529\) −18.0370 11.5917i −0.784219 0.503987i
\(530\) −0.131512 + 0.649037i −0.00571252 + 0.0281924i
\(531\) 1.84512 + 3.05978i 0.0800712 + 0.132783i
\(532\) −0.00242817 0.0849970i −0.000105274 0.00368509i
\(533\) −22.6227 + 58.1059i −0.979897 + 2.51685i
\(534\) 2.99911 + 14.8012i 0.129784 + 0.640510i
\(535\) −1.73592 + 1.59322i −0.0750506 + 0.0688808i
\(536\) −0.401278 + 0.586850i −0.0173326 + 0.0253481i
\(537\) 1.49573 + 0.533677i 0.0645457 + 0.0230299i
\(538\) −16.1655 18.6559i −0.696943 0.804315i
\(539\) 16.9683 10.7896i 0.730878 0.464740i
\(540\) −1.20196 + 1.38714i −0.0517241 + 0.0596928i
\(541\) −8.18653 + 4.62315i −0.351966 + 0.198765i −0.657569 0.753395i \(-0.728415\pi\)
0.305602 + 0.952159i \(0.401142\pi\)
\(542\) −0.801560 + 28.0583i −0.0344299 + 1.20521i
\(543\) −18.0225 7.61639i −0.773421 0.326850i
\(544\) 0.141952 1.65272i 0.00608615 0.0708597i
\(545\) −0.126959 + 1.47816i −0.00543833 + 0.0633174i
\(546\) 7.81525 + 3.30275i 0.334462 + 0.141345i
\(547\) 0.952103 33.3279i 0.0407090 1.42500i −0.680736 0.732529i \(-0.738340\pi\)
0.721445 0.692472i \(-0.243478\pi\)
\(548\) 10.3638 5.85272i 0.442721 0.250016i
\(549\) 9.87875 11.4007i 0.421615 0.486570i
\(550\) 6.81402 14.7321i 0.290551 0.628180i
\(551\) −0.517511 0.597240i −0.0220467 0.0254433i
\(552\) −1.58467 0.565410i −0.0674482 0.0240655i
\(553\) 6.61157 9.66912i 0.281153 0.411173i
\(554\) −6.58922 + 6.04753i −0.279949 + 0.256935i
\(555\) 0.159703 + 0.788165i 0.00677901 + 0.0334558i
\(556\) 3.73058 9.58191i 0.158212 0.406364i
\(557\) −0.340964 11.9353i −0.0144471 0.505715i −0.974306 0.225230i \(-0.927687\pi\)
0.959858 0.280485i \(-0.0904953\pi\)
\(558\) −4.35955 7.22949i −0.184554 0.306049i
\(559\) −4.78984 + 23.6388i −0.202588 + 0.999814i
\(560\) 0.265114 + 0.170379i 0.0112031 + 0.00719981i
\(561\) −7.36845 + 0.809458i −0.311096 + 0.0341753i
\(562\) −1.38779 + 0.891876i −0.0585402 + 0.0376215i
\(563\) −16.7817 43.1034i −0.707263 1.81659i −0.561887 0.827214i \(-0.689924\pi\)
−0.145376 0.989376i \(-0.546439\pi\)
\(564\) −6.39493 + 2.70252i −0.269275 + 0.113797i
\(565\) 0.171349 + 0.527359i 0.00720871 + 0.0221861i
\(566\) 3.35696 + 6.36214i 0.141103 + 0.267421i
\(567\) 2.39007 3.09949i 0.100373 0.130166i
\(568\) 0.397350 0.195364i 0.0166724 0.00819728i
\(569\) 7.02532 + 3.45412i 0.294517 + 0.144804i 0.582499 0.812832i \(-0.302075\pi\)
−0.287982 + 0.957636i \(0.592984\pi\)
\(570\) 0.0235264 + 0.0305096i 0.000985414 + 0.00127791i
\(571\) −11.3643 + 24.8844i −0.475582 + 1.04138i 0.508073 + 0.861314i \(0.330358\pi\)
−0.983655 + 0.180065i \(0.942369\pi\)
\(572\) −20.3539 + 7.15175i −0.851038 + 0.299030i
\(573\) −3.71835 8.14206i −0.155336 0.340139i
\(574\) 4.33063 8.20745i 0.180757 0.342572i
\(575\) −6.02184 1.04212i −0.251128 0.0434594i
\(576\) −1.17685 0.135031i −0.0490353 0.00562628i
\(577\) −0.0166620 0.0171448i −0.000693650 0.000713749i 0.716785 0.697294i \(-0.245613\pi\)
−0.717479 + 0.696581i \(0.754704\pi\)
\(578\) 11.5272 8.37498i 0.479467 0.348353i
\(579\) 3.97026 + 3.24647i 0.164999 + 0.134919i
\(580\) 2.90975 0.333863i 0.120821 0.0138629i
\(581\) −15.6769 0.896435i −0.650386 0.0371904i
\(582\) −8.86253 2.60227i −0.367364 0.107868i
\(583\) 3.78132 + 5.58767i 0.156606 + 0.231417i
\(584\) −10.7185 + 3.14724i −0.443536 + 0.130234i
\(585\) 2.44318 0.568136i 0.101013 0.0234895i
\(586\) 8.47666 + 7.77981i 0.350168 + 0.321381i
\(587\) 9.61358 15.9423i 0.396795 0.658010i −0.592228 0.805770i \(-0.701752\pi\)
0.989023 + 0.147760i \(0.0472062\pi\)
\(588\) 7.11308 + 4.01694i 0.293339 + 0.165656i
\(589\) −0.589591 + 0.210366i −0.0242937 + 0.00866797i
\(590\) −0.249624 + 0.949669i −0.0102769 + 0.0390973i
\(591\) 15.3865 12.5815i 0.632915 0.517532i
\(592\) −1.27779 + 1.31481i −0.0525167 + 0.0540384i
\(593\) 3.29808 22.9386i 0.135436 0.941977i −0.802866 0.596159i \(-0.796693\pi\)
0.938302 0.345817i \(-0.112398\pi\)
\(594\) 1.51034 + 18.6387i 0.0619700 + 0.764755i
\(595\) −0.0743963 0.517437i −0.00304995 0.0212129i
\(596\) 14.9654 + 10.8730i 0.613008 + 0.445377i
\(597\) 2.73311 + 10.3978i 0.111859 + 0.425556i
\(598\) 4.58480 + 6.70506i 0.187487 + 0.274190i
\(599\) −37.4189 8.70139i −1.52889 0.355529i −0.624089 0.781354i \(-0.714530\pi\)
−0.904806 + 0.425824i \(0.859984\pi\)
\(600\) 6.58335 0.376450i 0.268764 0.0153685i
\(601\) 37.2517 6.44666i 1.51953 0.262965i 0.651181 0.758922i \(-0.274274\pi\)
0.868347 + 0.495957i \(0.165183\pi\)
\(602\) 1.10923 3.41385i 0.0452087 0.139138i
\(603\) −0.0720662 0.839052i −0.00293476 0.0341688i
\(604\) 20.2547 0.824150
\(605\) 1.26693 + 3.34930i 0.0515079 + 0.136168i
\(606\) 17.5984 0.714888
\(607\) −0.578115 6.73087i −0.0234650 0.273198i −0.998656 0.0518319i \(-0.983494\pi\)
0.975191 0.221366i \(-0.0710515\pi\)
\(608\) −0.0271430 + 0.0835375i −0.00110079 + 0.00338789i
\(609\) −11.5633 + 2.00112i −0.468570 + 0.0810893i
\(610\) 4.13890 0.236671i 0.167579 0.00958252i
\(611\) 32.6454 + 7.59136i 1.32069 + 0.307114i
\(612\) 1.10911 + 1.62203i 0.0448332 + 0.0655665i
\(613\) 5.62921 + 21.4157i 0.227362 + 0.864973i 0.978741 + 0.205102i \(0.0657527\pi\)
−0.751379 + 0.659871i \(0.770611\pi\)
\(614\) −0.817404 0.593879i −0.0329877 0.0239670i
\(615\) 0.598382 + 4.16184i 0.0241291 + 0.167821i
\(616\) 3.13075 0.712122i 0.126141 0.0286922i
\(617\) −1.43860 + 10.0057i −0.0579157 + 0.402812i 0.940156 + 0.340744i \(0.110679\pi\)
−0.998072 + 0.0620687i \(0.980230\pi\)
\(618\) 9.33913 9.60974i 0.375675 0.386560i
\(619\) −34.9971 + 28.6170i −1.40665 + 1.15021i −0.438830 + 0.898570i \(0.644607\pi\)
−0.967820 + 0.251642i \(0.919029\pi\)
\(620\) 0.589799 2.24383i 0.0236869 0.0901143i
\(621\) 6.63118 2.36600i 0.266100 0.0949443i
\(622\) 21.2228 + 11.9851i 0.850956 + 0.480557i
\(623\) −5.60316 + 9.29180i −0.224486 + 0.372268i
\(624\) −6.45706 5.92623i −0.258489 0.237239i
\(625\) 22.8129 5.30492i 0.912517 0.212197i
\(626\) −30.7739 + 9.03603i −1.22997 + 0.361152i
\(627\) 0.389741 + 0.0466245i 0.0155647 + 0.00186200i
\(628\) −14.7322 4.32577i −0.587880 0.172617i
\(629\) 3.03634 + 0.173624i 0.121067 + 0.00692285i
\(630\) −0.370874 + 0.0425538i −0.0147760 + 0.00169538i
\(631\) 24.0179 + 19.6393i 0.956137 + 0.781829i 0.975955 0.217974i \(-0.0699449\pi\)
−0.0198174 + 0.999804i \(0.506309\pi\)
\(632\) −9.78896 + 7.11210i −0.389384 + 0.282904i
\(633\) −14.1175 14.5265i −0.561119 0.577377i
\(634\) 18.3011 + 2.09986i 0.726830 + 0.0833960i
\(635\) 3.30741 + 0.572370i 0.131251 + 0.0227138i
\(636\) −1.27910 + 2.42416i −0.0507195 + 0.0961242i
\(637\) −16.3828 35.8734i −0.649111 1.42135i
\(638\) 18.3352 23.5418i 0.725899 0.932030i
\(639\) −0.217886 + 0.477105i −0.00861946 + 0.0188740i
\(640\) −0.198789 0.257794i −0.00785781 0.0101902i
\(641\) −34.2776 16.8531i −1.35388 0.665659i −0.387285 0.921960i \(-0.626587\pi\)
−0.966597 + 0.256301i \(0.917496\pi\)
\(642\) −8.75166 + 4.30290i −0.345401 + 0.169822i
\(643\) −6.23560 + 8.08647i −0.245908 + 0.318899i −0.898638 0.438692i \(-0.855442\pi\)
0.652729 + 0.757591i \(0.273624\pi\)
\(644\) −0.564136 1.06916i −0.0222301 0.0421307i
\(645\) 0.502580 + 1.54678i 0.0197891 + 0.0609045i
\(646\) 0.134211 0.0567180i 0.00528046 0.00223154i
\(647\) −9.46410 24.3083i −0.372072 0.955659i −0.986067 0.166349i \(-0.946802\pi\)
0.613995 0.789310i \(-0.289562\pi\)
\(648\) −3.40126 + 2.18586i −0.133614 + 0.0858687i
\(649\) 5.12468 + 8.59178i 0.201161 + 0.337257i
\(650\) −26.7808 17.2110i −1.05043 0.675069i
\(651\) −1.84608 + 9.11077i −0.0723536 + 0.357079i
\(652\) −7.36583 12.2149i −0.288468 0.478371i
\(653\) −0.453173 15.8631i −0.0177340 0.620772i −0.959049 0.283241i \(-0.908590\pi\)
0.941315 0.337530i \(-0.109592\pi\)
\(654\) −2.22784 + 5.72215i −0.0871153 + 0.223754i
\(655\) 0.717097 + 3.53901i 0.0280193 + 0.138281i
\(656\) −7.06241 + 6.48182i −0.275741 + 0.253072i
\(657\) 7.46919 10.9233i 0.291401 0.426160i
\(658\) −4.69799 1.67624i −0.183147 0.0653467i
\(659\) 12.4267 + 14.3412i 0.484075 + 0.558652i 0.944273 0.329164i \(-0.106767\pi\)
−0.460198 + 0.887816i \(0.652222\pi\)
\(660\) −0.957948 + 1.09481i −0.0372881 + 0.0426156i
\(661\) 28.0152 32.3313i 1.08966 1.25754i 0.125540 0.992089i \(-0.459934\pi\)
0.964124 0.265451i \(-0.0855210\pi\)
\(662\) −18.6091 + 10.5090i −0.723262 + 0.408445i
\(663\) −0.415157 + 14.5324i −0.0161234 + 0.564392i
\(664\) 14.9410 + 6.31413i 0.579824 + 0.245036i
\(665\) −0.00236880 + 0.0275794i −9.18581e−5 + 0.00106948i
\(666\) 0.185854 2.16386i 0.00720169 0.0838477i
\(667\) −10.3487 4.37338i −0.400702 0.169338i
\(668\) −0.229830 + 8.04512i −0.00889241 + 0.311275i
\(669\) −2.75050 + 1.55328i −0.106340 + 0.0600532i
\(670\) 0.151556 0.174905i 0.00585513 0.00675718i
\(671\) 27.8128 31.7865i 1.07370 1.22711i
\(672\) 0.854170 + 0.985765i 0.0329503 + 0.0380267i
\(673\) −5.61368 2.00296i −0.216392 0.0772084i 0.225629 0.974213i \(-0.427556\pi\)
−0.442020 + 0.897005i \(0.645738\pi\)
\(674\) −2.70331 + 3.95346i −0.104127 + 0.152282i
\(675\) −20.3293 + 18.6580i −0.782474 + 0.718148i
\(676\) 5.82101 + 28.7278i 0.223885 + 1.10492i
\(677\) −2.09879 + 5.39070i −0.0806631 + 0.207181i −0.966420 0.256968i \(-0.917276\pi\)
0.885757 + 0.464150i \(0.153640\pi\)
\(678\) 0.0655371 + 2.29410i 0.00251694 + 0.0881043i
\(679\) −3.42701 5.68306i −0.131517 0.218096i
\(680\) −0.107239 + 0.529247i −0.00411244 + 0.0202957i
\(681\) 5.87176 + 3.77355i 0.225006 + 0.144603i
\(682\) −12.1083 20.3002i −0.463652 0.777335i
\(683\) 31.9166 20.5116i 1.22125 0.784853i 0.238748 0.971081i \(-0.423263\pi\)
0.982506 + 0.186229i \(0.0596265\pi\)
\(684\) −0.0377496 0.0969590i −0.00144339 0.00370732i
\(685\) −3.56900 + 1.50827i −0.136365 + 0.0576282i
\(686\) 3.90774 + 12.0268i 0.149198 + 0.459185i
\(687\) 1.87442 + 3.55242i 0.0715135 + 0.135533i
\(688\) −2.26424 + 2.93632i −0.0863235 + 0.111946i
\(689\) 11.8747 5.83838i 0.452389 0.222425i
\(690\) 0.491526 + 0.241667i 0.0187121 + 0.00920011i
\(691\) 19.2903 + 25.0161i 0.733837 + 0.951656i 0.999924 0.0122924i \(-0.00391290\pi\)
−0.266088 + 0.963949i \(0.585731\pi\)
\(692\) −2.17678 + 4.76649i −0.0827488 + 0.181195i
\(693\) −2.33699 + 3.00061i −0.0887748 + 0.113984i
\(694\) 12.9300 + 28.3128i 0.490816 + 1.07474i
\(695\) −1.56210 + 2.96050i −0.0592537 + 0.112298i
\(696\) 11.9448 + 2.06712i 0.452765 + 0.0783541i
\(697\) 15.7977 + 1.81261i 0.598379 + 0.0686576i
\(698\) 3.26128 + 3.35578i 0.123441 + 0.127018i
\(699\) 0.451014 0.327681i 0.0170589 0.0123940i
\(700\) 3.66769 + 2.99905i 0.138626 + 0.113354i
\(701\) 7.31511 0.839331i 0.276288 0.0317011i 0.0252599 0.999681i \(-0.491959\pi\)
0.251028 + 0.967980i \(0.419231\pi\)
\(702\) 36.6152 + 2.09373i 1.38195 + 0.0790229i
\(703\) −0.154519 0.0453708i −0.00582778 0.00171119i
\(704\) −3.29314 0.393957i −0.124115 0.0148478i
\(705\) 2.16850 0.636730i 0.0816705 0.0239806i
\(706\) −30.9589 + 7.19918i −1.16515 + 0.270945i
\(707\) 9.31547 + 8.54966i 0.350344 + 0.321543i
\(708\) −2.09871 + 3.48033i −0.0788745 + 0.130799i
\(709\) 20.6955 + 11.6873i 0.777236 + 0.438925i 0.828660 0.559752i \(-0.189103\pi\)
−0.0514246 + 0.998677i \(0.516376\pi\)
\(710\) −0.135759 + 0.0484386i −0.00509493 + 0.00181787i
\(711\) 3.64373 13.8622i 0.136651 0.519873i
\(712\) 8.67689 7.09506i 0.325180 0.265899i
\(713\) −6.20242 + 6.38214i −0.232283 + 0.239013i
\(714\) 0.307922 2.14164i 0.0115237 0.0801490i
\(715\) 6.84814 1.55768i 0.256106 0.0582541i
\(716\) −0.167740 1.16665i −0.00626872 0.0435999i
\(717\) −6.35910 4.62016i −0.237485 0.172543i
\(718\) 3.23587 + 12.3105i 0.120762 + 0.459425i
\(719\) 6.75005 + 9.87164i 0.251734 + 0.368150i 0.930554 0.366156i \(-0.119326\pi\)
−0.678819 + 0.734305i \(0.737508\pi\)
\(720\) 0.375600 + 0.0873419i 0.0139978 + 0.00325504i
\(721\) 9.61212 0.549641i 0.357974 0.0204697i
\(722\) 18.7141 3.23861i 0.696467 0.120528i
\(723\) −0.0498402 + 0.153392i −0.00185358 + 0.00570473i
\(724\) 1.24267 + 14.4681i 0.0461834 + 0.537703i
\(725\) 44.0313 1.63528
\(726\) 1.12580 + 14.7784i 0.0417822 + 0.548476i
\(727\) −40.5439 −1.50369 −0.751844 0.659341i \(-0.770836\pi\)
−0.751844 + 0.659341i \(0.770836\pi\)
\(728\) −0.538868 6.27392i −0.0199718 0.232527i
\(729\) 8.52260 26.2299i 0.315652 0.971476i
\(730\) 3.58332 0.620118i 0.132625 0.0229516i
\(731\) 6.14071 0.351139i 0.227122 0.0129873i
\(732\) 16.7127 + 3.88638i 0.617720 + 0.143645i
\(733\) −0.635887 0.929955i −0.0234870 0.0343487i 0.813550 0.581495i \(-0.197532\pi\)
−0.837037 + 0.547147i \(0.815714\pi\)
\(734\) −1.62922 6.19820i −0.0601357 0.228780i
\(735\) −2.15142 1.56310i −0.0793562 0.0576557i
\(736\) 0.177714 + 1.23603i 0.00655061 + 0.0455605i
\(737\) −0.190440 2.35017i −0.00701496 0.0865697i
\(738\) 1.61603 11.2397i 0.0594867 0.413739i
\(739\) −31.0304 + 31.9295i −1.14147 + 1.17455i −0.159167 + 0.987252i \(0.550881\pi\)
−0.982304 + 0.187294i \(0.940028\pi\)
\(740\) 0.462046 0.377813i 0.0169851 0.0138887i
\(741\) 0.195705 0.744539i 0.00718940 0.0273513i
\(742\) −1.85478 + 0.661782i −0.0680909 + 0.0242948i
\(743\) 37.4094 + 21.1261i 1.37242 + 0.775040i 0.988913 0.148499i \(-0.0474440\pi\)
0.383505 + 0.923539i \(0.374717\pi\)
\(744\) 4.95873 8.22314i 0.181796 0.301475i
\(745\) −4.43657 4.07185i −0.162543 0.149181i
\(746\) −14.2460 + 3.31276i −0.521582 + 0.121289i
\(747\) −18.4359 + 5.41327i −0.674534 + 0.198061i
\(748\) 3.08341 + 4.55637i 0.112741 + 0.166597i
\(749\) −6.72299 1.97405i −0.245653 0.0721302i
\(750\) −4.33266 0.247750i −0.158206 0.00904657i
\(751\) 41.2513 4.73315i 1.50528 0.172715i 0.678234 0.734846i \(-0.262745\pi\)
0.827048 + 0.562131i \(0.190018\pi\)
\(752\) 3.98885 + 3.26167i 0.145459 + 0.118941i
\(753\) 0.589721 0.428457i 0.0214906 0.0156138i
\(754\) −40.7868 41.9686i −1.48537 1.52841i
\(755\) −6.55066 0.751619i −0.238403 0.0273542i
\(756\) −5.37822 0.930737i −0.195604 0.0338506i
\(757\) 1.05705 2.00334i 0.0384193 0.0728126i −0.864474 0.502678i \(-0.832348\pi\)
0.902893 + 0.429865i \(0.141439\pi\)
\(758\) 7.30363 + 15.9927i 0.265280 + 0.580882i
\(759\) 5.26475 1.84988i 0.191098 0.0671463i
\(760\) 0.0118784 0.0260101i 0.000430875 0.000943484i
\(761\) 11.0509 + 14.3310i 0.400594 + 0.519500i 0.948387 0.317114i \(-0.102714\pi\)
−0.547793 + 0.836614i \(0.684532\pi\)
\(762\) 12.4672 + 6.12973i 0.451641 + 0.222057i
\(763\) −3.95920 + 1.94661i −0.143333 + 0.0704719i
\(764\) −4.05667 + 5.26078i −0.146765 + 0.190328i
\(765\) −0.298513 0.565745i −0.0107928 0.0204546i
\(766\) 5.82316 + 17.9218i 0.210399 + 0.647543i
\(767\) 18.0729 7.63766i 0.652574 0.275780i
\(768\) −0.488840 1.25557i −0.0176395 0.0453066i
\(769\) 25.5804 16.4395i 0.922451 0.592823i 0.00908338 0.999959i \(-0.497109\pi\)
0.913368 + 0.407135i \(0.133472\pi\)
\(770\) −1.03896 + 0.114134i −0.0374414 + 0.00411311i
\(771\) −17.5441 11.2749i −0.631837 0.406057i
\(772\) 0.755905 3.73054i 0.0272056 0.134265i
\(773\) 7.44824 + 12.3515i 0.267895 + 0.444253i 0.960986 0.276596i \(-0.0892064\pi\)
−0.693092 + 0.720849i \(0.743752\pi\)
\(774\) −0.125427 4.39052i −0.00450838 0.157814i
\(775\) 12.6543 32.5024i 0.454557 1.16752i
\(776\) 1.36140 + 6.71875i 0.0488712 + 0.241189i
\(777\) −1.76187 + 1.61703i −0.0632068 + 0.0580107i
\(778\) −20.5948 + 30.1189i −0.738359 + 1.07982i
\(779\) −0.793034 0.282954i −0.0284134 0.0101379i
\(780\) 1.86840 + 2.15625i 0.0668993 + 0.0772060i
\(781\) −0.616488 + 1.33287i −0.0220597 + 0.0476938i
\(782\) 1.35648 1.56547i 0.0485078 0.0559810i
\(783\) −44.1700 + 24.9440i −1.57851 + 0.891425i
\(784\) 0.173131 6.06037i 0.00618325 0.216442i
\(785\) 4.60410 + 1.94571i 0.164327 + 0.0694453i
\(786\) −1.27896 + 14.8906i −0.0456189 + 0.531131i
\(787\) 0.399240 4.64826i 0.0142314 0.165693i −0.985766 0.168125i \(-0.946229\pi\)
0.999997 + 0.00243233i \(0.000774237\pi\)
\(788\) −13.5877 5.74222i −0.484043 0.204558i
\(789\) −0.712553 + 24.9426i −0.0253675 + 0.887980i
\(790\) 3.42982 1.93691i 0.122027 0.0689121i
\(791\) −1.07983 + 1.24619i −0.0383942 + 0.0443092i
\(792\) 3.31530 2.10809i 0.117804 0.0749075i
\(793\) −54.2465 62.6038i −1.92635 2.22313i
\(794\) 24.5468 + 8.75830i 0.871135 + 0.310820i
\(795\) 0.503637 0.736545i 0.0178621 0.0261226i
\(796\) 5.87863 5.39536i 0.208362 0.191233i
\(797\) 0.563666 + 2.78180i 0.0199661 + 0.0985364i 0.988826 0.149071i \(-0.0476284\pi\)
−0.968860 + 0.247608i \(0.920356\pi\)
\(798\) −0.0415668 + 0.106764i −0.00147145 + 0.00377939i
\(799\) −0.244074 8.54369i −0.00863471 0.302254i
\(800\) −2.52726 4.19099i −0.0893522 0.148174i
\(801\) −2.63671 + 13.0127i −0.0931636 + 0.459780i
\(802\) 20.3841 + 13.1001i 0.719788 + 0.462579i
\(803\) 21.0600 30.4826i 0.743190 1.07571i
\(804\) 0.805826 0.517873i 0.0284193 0.0182640i
\(805\) 0.142775 + 0.366716i 0.00503217 + 0.0129250i
\(806\) −42.7016 + 18.0459i −1.50410 + 0.635639i
\(807\) 10.2781 + 31.6326i 0.361805 + 1.11352i
\(808\) −6.09525 11.5518i −0.214430 0.406390i
\(809\) −12.3807 + 16.0556i −0.435284 + 0.564486i −0.957539 0.288303i \(-0.906909\pi\)
0.522256 + 0.852789i \(0.325091\pi\)
\(810\) 1.18113 0.580725i 0.0415008 0.0204046i
\(811\) −23.4253 11.5174i −0.822573 0.404432i −0.0191324 0.999817i \(-0.506090\pi\)
−0.803440 + 0.595385i \(0.796999\pi\)
\(812\) 5.31854 + 6.89720i 0.186644 + 0.242044i
\(813\) 15.7112 34.4028i 0.551017 1.20656i
\(814\) 0.549584 6.05591i 0.0192629 0.212260i
\(815\) 1.92895 + 4.22381i 0.0675681 + 0.147953i
\(816\) −1.04302 + 1.97674i −0.0365130 + 0.0691998i
\(817\) −0.320922 0.0555378i −0.0112276 0.00194302i
\(818\) −9.55171 1.09596i −0.333968 0.0383192i
\(819\) 5.19864 + 5.34927i 0.181655 + 0.186919i
\(820\) 2.52462 1.83424i 0.0881635 0.0640546i
\(821\) −23.4404 19.1671i −0.818075 0.668937i 0.128397 0.991723i \(-0.459017\pi\)
−0.946472 + 0.322786i \(0.895381\pi\)
\(822\) −15.9323 + 1.82806i −0.555703 + 0.0637610i
\(823\) −17.1780 0.982272i −0.598786 0.0342398i −0.244932 0.969540i \(-0.578766\pi\)
−0.353855 + 0.935300i \(0.615129\pi\)
\(824\) −9.54255 2.80195i −0.332431 0.0976104i
\(825\) −16.1838 + 14.7102i −0.563448 + 0.512142i
\(826\) −2.80173 + 0.822663i −0.0974847 + 0.0286241i
\(827\) 40.4764 9.41239i 1.40750 0.327301i 0.547165 0.837024i \(-0.315707\pi\)
0.860338 + 0.509723i \(0.170252\pi\)
\(828\) −1.08980 1.00021i −0.0378731 0.0347596i
\(829\) 9.24151 15.3253i 0.320971 0.532271i −0.653459 0.756962i \(-0.726683\pi\)
0.974430 + 0.224691i \(0.0721374\pi\)
\(830\) −4.59785 2.59652i −0.159594 0.0901266i
\(831\) 11.3498 4.04960i 0.393720 0.140479i
\(832\) −1.65362 + 6.29104i −0.0573291 + 0.218102i
\(833\) −7.78560 + 6.36625i −0.269755 + 0.220578i
\(834\) −9.65569 + 9.93547i −0.334349 + 0.344037i
\(835\) 0.372872 2.59338i 0.0129038 0.0897478i
\(836\) −0.104383 0.271978i −0.00361015 0.00940656i
\(837\) 5.71857 + 39.7735i 0.197663 + 1.37477i
\(838\) −20.6521 15.0046i −0.713415 0.518326i
\(839\) 11.3940 + 43.3475i 0.393366 + 1.49652i 0.809447 + 0.587193i \(0.199767\pi\)
−0.416081 + 0.909328i \(0.636597\pi\)
\(840\) −0.239671 0.350508i −0.00826945 0.0120937i
\(841\) 50.5953 + 11.7654i 1.74467 + 0.405705i
\(842\) −33.7469 + 1.92972i −1.16300 + 0.0665025i
\(843\) 2.19017 0.379024i 0.0754334 0.0130543i
\(844\) −4.64574 + 14.2981i −0.159913 + 0.492162i
\(845\) −0.816558 9.50702i −0.0280905 0.327051i
\(846\) −6.10363 −0.209847
\(847\) −6.58368 + 8.36963i −0.226218 + 0.287584i
\(848\) 2.03426 0.0698568
\(849\) −0.829421 9.65677i −0.0284657 0.331420i
\(850\) −2.50867 + 7.72089i −0.0860467 + 0.264824i
\(851\) −2.25594 + 0.390406i −0.0773326 + 0.0133829i
\(852\) −0.595619 + 0.0340588i −0.0204056 + 0.00116683i
\(853\) 20.7039 + 4.81448i 0.708887 + 0.164845i 0.565411 0.824809i \(-0.308718\pi\)
0.143476 + 0.989654i \(0.454172\pi\)
\(854\) 6.95855 + 10.1766i 0.238117 + 0.348235i
\(855\) 0.00861079 + 0.0327588i 0.000294483 + 0.00112033i
\(856\) 5.85562 + 4.25436i 0.200141 + 0.145411i
\(857\) 6.47166 + 45.0114i 0.221068 + 1.53756i 0.734011 + 0.679137i \(0.237646\pi\)
−0.512943 + 0.858422i \(0.671445\pi\)
\(858\) 29.0123 + 1.79944i 0.990464 + 0.0614317i
\(859\) −2.78794 + 19.3906i −0.0951233 + 0.661597i 0.885347 + 0.464931i \(0.153921\pi\)
−0.980470 + 0.196667i \(0.936988\pi\)
\(860\) 0.841253 0.865629i 0.0286865 0.0295177i
\(861\) −9.67951 + 7.91490i −0.329877 + 0.269739i
\(862\) 10.0063 38.0681i 0.340818 1.29660i
\(863\) −37.9546 + 13.5422i −1.29199 + 0.460981i −0.890542 0.454901i \(-0.849675\pi\)
−0.401448 + 0.915882i \(0.631493\pi\)
\(864\) 4.90944 + 2.77249i 0.167023 + 0.0943220i
\(865\) 0.880881 1.46078i 0.0299509 0.0496679i
\(866\) −17.7039 16.2485i −0.601603 0.552146i
\(867\) −18.6990 + 4.34828i −0.635053 + 0.147675i
\(868\) 6.61979 1.94375i 0.224690 0.0659750i
\(869\) 10.3890 38.7625i 0.352424 1.31493i
\(870\) −3.78641 1.11179i −0.128371 0.0376932i
\(871\) −4.61685 0.264001i −0.156436 0.00894533i
\(872\) 4.52769 0.519504i 0.153327 0.0175926i
\(873\) −6.28647 5.14042i −0.212765 0.173977i
\(874\) −0.0887367 + 0.0644710i −0.00300157 + 0.00218076i
\(875\) −2.17307 2.23603i −0.0734630 0.0755917i
\(876\) 14.9535 + 1.71575i 0.505232 + 0.0579700i
\(877\) −15.6878 2.71488i −0.529739 0.0916750i −0.100624 0.994925i \(-0.532084\pi\)
−0.429116 + 0.903250i \(0.641175\pi\)
\(878\) 12.9661 24.5735i 0.437584 0.829314i
\(879\) −6.43994 14.1015i −0.217214 0.475632i
\(880\) 1.05043 + 0.249615i 0.0354101 + 0.00841453i
\(881\) 0.570500 1.24922i 0.0192206 0.0420873i −0.899778 0.436347i \(-0.856272\pi\)
0.918999 + 0.394260i \(0.128999\pi\)
\(882\) 4.38559 + 5.68733i 0.147670 + 0.191502i
\(883\) −1.28020 0.629434i −0.0430823 0.0211821i 0.419553 0.907731i \(-0.362187\pi\)
−0.462635 + 0.886549i \(0.653096\pi\)
\(884\) 9.68300 4.76081i 0.325675 0.160123i
\(885\) 0.807906 1.04771i 0.0271575 0.0352184i
\(886\) −8.82824 16.7314i −0.296591 0.562102i
\(887\) −8.04709 24.7664i −0.270195 0.831574i −0.990451 0.137866i \(-0.955976\pi\)
0.720256 0.693708i \(-0.244024\pi\)
\(888\) 2.27548 0.961624i 0.0763599 0.0322700i
\(889\) 3.62141 + 9.30151i 0.121458 + 0.311963i
\(890\) −3.06952 + 1.97266i −0.102891 + 0.0661238i
\(891\) 4.20521 12.7330i 0.140880 0.426571i
\(892\) 1.97223 + 1.26747i 0.0660350 + 0.0424381i
\(893\) −0.0898796 + 0.443573i −0.00300771 + 0.0148436i
\(894\) −12.8708 21.3438i −0.430464 0.713845i
\(895\) 0.0109568 + 0.383538i 0.000366246 + 0.0128203i
\(896\) 0.351222 0.902107i 0.0117335 0.0301373i
\(897\) −2.17345 10.7264i −0.0725692 0.358143i
\(898\) 8.53720 7.83537i 0.284890 0.261470i
\(899\) 36.1920 52.9291i 1.20707 1.76529i
\(900\) 5.46016 + 1.94818i 0.182005 + 0.0649394i
\(901\) −2.20979 2.55023i −0.0736187 0.0849605i
\(902\) 4.67640 31.4474i 0.155707 1.04708i
\(903\) −3.16721 + 3.65516i −0.105398 + 0.121636i
\(904\) 1.48317 0.837584i 0.0493295 0.0278576i
\(905\) 0.134992 4.72532i 0.00448727 0.157075i
\(906\) −25.1381 10.6235i −0.835158 0.352941i
\(907\) 4.46573 51.9936i 0.148282 1.72642i −0.423400 0.905943i \(-0.639163\pi\)
0.571682 0.820475i \(-0.306291\pi\)
\(908\) 0.443300 5.16125i 0.0147114 0.171282i
\(909\) 14.2516 + 6.02276i 0.472694 + 0.199762i
\(910\) −0.0585375 + 2.04908i −0.00194050 + 0.0679263i
\(911\) −34.3650 + 19.4068i −1.13856 + 0.642976i −0.941366 0.337388i \(-0.890456\pi\)
−0.197197 + 0.980364i \(0.563184\pi\)
\(912\) 0.0775022 0.0894423i 0.00256635 0.00296173i
\(913\) −51.6904 + 14.9072i −1.71070 + 0.493357i
\(914\) 21.4089 + 24.7072i 0.708143 + 0.817241i
\(915\) −5.26093 1.87710i −0.173921 0.0620549i
\(916\) 1.68263 2.46077i 0.0555958 0.0813062i
\(917\) −7.91115 + 7.26079i −0.261249 + 0.239772i
\(918\) −1.85735 9.16639i −0.0613017 0.302536i
\(919\) −19.7596 + 50.7521i −0.651809 + 1.67416i 0.0835712 + 0.996502i \(0.473367\pi\)
−0.735380 + 0.677655i \(0.762996\pi\)
\(920\) −0.0116083 0.406344i −0.000382715 0.0133968i
\(921\) 0.702996 + 1.16579i 0.0231645 + 0.0384140i
\(922\) 2.62223 12.9412i 0.0863584 0.426196i
\(923\) 2.42295 + 1.55714i 0.0797524 + 0.0512537i
\(924\) −4.25908 0.758242i −0.140114 0.0249443i
\(925\) 7.54844 4.85109i 0.248191 0.159503i
\(926\) 7.19214 + 18.4729i 0.236348 + 0.607056i
\(927\) 10.8518 4.58600i 0.356419 0.150624i
\(928\) −2.78021 8.55662i −0.0912650 0.280885i
\(929\) −12.0610 22.8581i −0.395709 0.749951i 0.603154 0.797625i \(-0.293910\pi\)
−0.998863 + 0.0476731i \(0.984819\pi\)
\(930\) −1.90888 + 2.47548i −0.0625946 + 0.0811741i
\(931\) 0.477900 0.234968i 0.0156625 0.00770075i
\(932\) −0.371303 0.182557i −0.0121624 0.00597986i
\(933\) −20.0536 26.0059i −0.656524 0.851395i
\(934\) −7.05223 + 15.4422i −0.230756 + 0.505285i
\(935\) −0.828143 1.58802i −0.0270832 0.0519338i
\(936\) −3.20090 7.00900i −0.104625 0.229096i
\(937\) −16.0456 + 30.4098i −0.524187 + 0.993446i 0.469677 + 0.882838i \(0.344370\pi\)
−0.993864 + 0.110607i \(0.964720\pi\)
\(938\) 0.678145 + 0.117358i 0.0221422 + 0.00383186i
\(939\) 42.9329 + 4.92609i 1.40106 + 0.160757i
\(940\) −1.16902 1.20289i −0.0381292 0.0392341i
\(941\) −9.54373 + 6.93393i −0.311117 + 0.226040i −0.732376 0.680901i \(-0.761588\pi\)
0.421259 + 0.906940i \(0.361588\pi\)
\(942\) 16.0154 + 13.0957i 0.521809 + 0.426681i
\(943\) −11.8924 + 1.36452i −0.387269 + 0.0444350i
\(944\) 3.01141 + 0.172199i 0.0980132 + 0.00560460i
\(945\) 1.70486 + 0.500592i 0.0554591 + 0.0162842i
\(946\) −0.291874 12.2944i −0.00948963 0.399725i
\(947\) 45.7566 13.4354i 1.48689 0.436590i 0.565343 0.824856i \(-0.308744\pi\)
0.921547 + 0.388266i \(0.126926\pi\)
\(948\) 15.8794 3.69259i 0.515738 0.119930i
\(949\) −53.5350 49.1340i −1.73782 1.59496i
\(950\) 0.221986 0.368122i 0.00720217 0.0119435i
\(951\) −21.6122 12.2050i −0.700824 0.395773i
\(952\) −1.51245 + 0.539639i −0.0490186 + 0.0174898i
\(953\) 4.02077 15.2966i 0.130246 0.495505i −0.869752 0.493488i \(-0.835722\pi\)
0.999998 0.00201709i \(-0.000642060\pi\)
\(954\) −1.86547 + 1.52538i −0.0603967 + 0.0493861i
\(955\) 1.50721 1.55088i 0.0487721 0.0501853i
\(956\) −0.830230 + 5.77438i −0.0268516 + 0.186757i
\(957\) −35.1035 + 19.6011i −1.13473 + 0.633614i
\(958\) 0.266481 + 1.85341i 0.00860960 + 0.0598811i
\(959\) −9.32163 6.77256i −0.301011 0.218697i
\(960\) 0.111506 + 0.424212i 0.00359883 + 0.0136914i
\(961\) −11.1714 16.3376i −0.360366 0.527019i
\(962\) −11.6160 2.70120i −0.374516 0.0870901i
\(963\) −8.55986 + 0.489471i −0.275838 + 0.0157730i
\(964\) 0.117951 0.0204121i 0.00379893 0.000657431i
\(965\) −0.382906 + 1.17846i −0.0123262 + 0.0379361i
\(966\) 0.139384 + 1.62282i 0.00448461 + 0.0522133i
\(967\) 10.3626 0.333239 0.166620 0.986021i \(-0.446715\pi\)
0.166620 + 0.986021i \(0.446715\pi\)
\(968\) 9.31073 5.85749i 0.299258 0.188267i
\(969\) −0.196318 −0.00630664
\(970\) −0.190974 2.22346i −0.00613179 0.0713912i
\(971\) 7.61269 23.4294i 0.244303 0.751887i −0.751448 0.659793i \(-0.770644\pi\)
0.995750 0.0920938i \(-0.0293560\pi\)
\(972\) −11.2991 + 1.95538i −0.362418 + 0.0627189i
\(973\) −9.93794 + 0.568272i −0.318596 + 0.0182180i
\(974\) 33.9756 + 7.90069i 1.08865 + 0.253154i
\(975\) 24.2106 + 35.4069i 0.775361 + 1.13393i
\(976\) −3.23743 12.3164i −0.103627 0.394240i
\(977\) −23.9075 17.3698i −0.764868 0.555709i 0.135532 0.990773i \(-0.456726\pi\)
−0.900400 + 0.435064i \(0.856726\pi\)
\(978\) 2.73513 + 19.0232i 0.0874598 + 0.608296i
\(979\) −7.55808 + 36.3976i −0.241557 + 1.16327i
\(980\) −0.280884 + 1.95359i −0.00897251 + 0.0624052i
\(981\) −3.76245 + 3.87147i −0.120126 + 0.123607i
\(982\) 27.5329 22.5135i 0.878610 0.718436i
\(983\) −10.7268 + 40.8089i −0.342131 + 1.30160i 0.544359 + 0.838852i \(0.316773\pi\)
−0.886490 + 0.462748i \(0.846863\pi\)
\(984\) 12.1649 4.34041i 0.387801 0.138367i
\(985\) 4.18139 + 2.36134i 0.133230 + 0.0752386i
\(986\) −7.70681 + 12.7803i −0.245435 + 0.407008i
\(987\) 4.95151 + 4.54446i 0.157608 + 0.144652i
\(988\) −0.556505 + 0.129410i −0.0177048 + 0.00411707i
\(989\) −4.44268 + 1.30449i −0.141269 + 0.0414803i
\(990\) −1.15045 + 0.558761i −0.0365636 + 0.0177586i
\(991\) 2.50237 + 0.734761i 0.0794903 + 0.0233405i 0.321236 0.946999i \(-0.395902\pi\)
−0.241746 + 0.970340i \(0.577720\pi\)
\(992\) −7.11521 0.406863i −0.225908 0.0129179i
\(993\) 28.6077 3.28243i 0.907838 0.104165i
\(994\) −0.331829 0.271335i −0.0105250 0.00860622i
\(995\) −2.10145 + 1.52679i −0.0666205 + 0.0484026i
\(996\) −15.2316 15.6730i −0.482632 0.496617i
\(997\) −27.7439 3.18331i −0.878657 0.100816i −0.337088 0.941473i \(-0.609442\pi\)
−0.541569 + 0.840657i \(0.682169\pi\)
\(998\) −20.9351 3.62297i −0.662690 0.114683i
\(999\) −4.82406 + 9.14260i −0.152626 + 0.289259i
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 242.2.g.b.15.4 240
121.113 even 55 inner 242.2.g.b.113.4 yes 240
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
242.2.g.b.15.4 240 1.1 even 1 trivial
242.2.g.b.113.4 yes 240 121.113 even 55 inner