Properties

Label 690.2.w.b.373.6
Level $690$
Weight $2$
Character 690.373
Analytic conductor $5.510$
Analytic rank $0$
Dimension $240$
CM no
Inner twists $4$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [690,2,Mod(7,690)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(690, base_ring=CyclotomicField(44))
 
chi = DirichletCharacter(H, H._module([0, 11, 38]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("690.7");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 690 = 2 \cdot 3 \cdot 5 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 690.w (of order \(44\), degree \(20\), 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: \(5.50967773947\)
Analytic rank: \(0\)
Dimension: \(240\)
Relative dimension: \(12\) over \(\Q(\zeta_{44})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{44}]$

Embedding invariants

Embedding label 373.6
Character \(\chi\) \(=\) 690.373
Dual form 690.2.w.b.37.6

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-0.877679 + 0.479249i) q^{2} +(0.997452 - 0.0713392i) q^{3} +(0.540641 - 0.841254i) q^{4} +(2.18586 + 0.471182i) q^{5} +(-0.841254 + 0.540641i) q^{6} +(1.33355 - 3.57540i) q^{7} +(-0.0713392 + 0.997452i) q^{8} +(0.989821 - 0.142315i) q^{9} +O(q^{10})\) \(q+(-0.877679 + 0.479249i) q^{2} +(0.997452 - 0.0713392i) q^{3} +(0.540641 - 0.841254i) q^{4} +(2.18586 + 0.471182i) q^{5} +(-0.841254 + 0.540641i) q^{6} +(1.33355 - 3.57540i) q^{7} +(-0.0713392 + 0.997452i) q^{8} +(0.989821 - 0.142315i) q^{9} +(-2.14430 + 0.634025i) q^{10} +(0.274213 + 0.933883i) q^{11} +(0.479249 - 0.877679i) q^{12} +(-0.363351 + 0.135523i) q^{13} +(0.543073 + 3.77716i) q^{14} +(2.21391 + 0.314044i) q^{15} +(-0.415415 - 0.909632i) q^{16} +(6.16390 + 1.34087i) q^{17} +(-0.800541 + 0.599278i) q^{18} +(-4.73875 - 3.04541i) q^{19} +(1.57815 - 1.58412i) q^{20} +(1.07509 - 3.66142i) q^{21} +(-0.688234 - 0.688234i) q^{22} +(-3.01793 - 3.72721i) q^{23} +1.00000i q^{24} +(4.55597 + 2.05988i) q^{25} +(0.253957 - 0.293081i) q^{26} +(0.977147 - 0.212565i) q^{27} +(-2.28684 - 3.05486i) q^{28} +(-1.75012 - 2.72324i) q^{29} +(-2.09360 + 0.785382i) q^{30} +(0.0490589 + 0.0566169i) q^{31} +(0.800541 + 0.599278i) q^{32} +(0.340137 + 0.911942i) q^{33} +(-6.05253 + 1.77718i) q^{34} +(4.59963 - 7.18698i) q^{35} +(0.415415 - 0.909632i) q^{36} +(-5.11516 + 6.83305i) q^{37} +(5.61861 + 0.401851i) q^{38} +(-0.352757 + 0.161099i) q^{39} +(-0.625919 + 2.14668i) q^{40} +(0.842836 - 5.86205i) q^{41} +(0.811149 + 3.72879i) q^{42} +(0.138451 + 1.93580i) q^{43} +(0.933883 + 0.274213i) q^{44} +(2.23067 + 0.155306i) q^{45} +(4.43504 + 1.82495i) q^{46} +(-7.27937 + 7.27937i) q^{47} +(-0.479249 - 0.877679i) q^{48} +(-5.71486 - 4.95196i) q^{49} +(-4.98588 + 0.375535i) q^{50} +(6.24385 + 0.897730i) q^{51} +(-0.0824333 + 0.378940i) q^{52} +(11.9363 + 4.45203i) q^{53} +(-0.755750 + 0.654861i) q^{54} +(0.159362 + 2.17054i) q^{55} +(3.47115 + 1.58522i) q^{56} +(-4.94393 - 2.69959i) q^{57} +(2.84115 + 1.55139i) q^{58} +(11.1289 + 5.08238i) q^{59} +(1.46112 - 1.69267i) q^{60} +(5.42228 - 4.69843i) q^{61} +(-0.0701916 - 0.0261801i) q^{62} +(0.811149 - 3.72879i) q^{63} +(-0.989821 - 0.142315i) q^{64} +(-0.858092 + 0.125030i) q^{65} +(-0.735578 - 0.637382i) q^{66} +(-2.25028 - 4.12107i) q^{67} +(4.46047 - 4.46047i) q^{68} +(-3.27614 - 3.50242i) q^{69} +(-0.592647 + 8.51223i) q^{70} +(-3.89999 - 1.14514i) q^{71} +(0.0713392 + 0.997452i) q^{72} +(0.475950 + 2.18791i) q^{73} +(1.21473 - 8.44866i) q^{74} +(4.69132 + 1.72961i) q^{75} +(-5.12392 + 2.34002i) q^{76} +(3.70468 + 0.264964i) q^{77} +(0.232401 - 0.310452i) q^{78} +(2.42651 - 5.31332i) q^{79} +(-0.479437 - 2.18407i) q^{80} +(0.959493 - 0.281733i) q^{81} +(2.06964 + 5.54893i) q^{82} +(2.85816 + 2.13959i) q^{83} +(-2.49895 - 2.88394i) q^{84} +(12.8416 + 5.83528i) q^{85} +(-1.04925 - 1.63266i) q^{86} +(-1.93993 - 2.59145i) q^{87} +(-0.951066 + 0.206892i) q^{88} +(0.830562 - 0.958520i) q^{89} +(-2.03224 + 0.932737i) q^{90} +1.47985i q^{91} +(-4.76715 + 0.523762i) q^{92} +(0.0529729 + 0.0529729i) q^{93} +(2.90032 - 9.87758i) q^{94} +(-8.92330 - 8.88965i) q^{95} +(0.841254 + 0.540641i) q^{96} +(-10.6558 + 7.97683i) q^{97} +(7.38904 + 1.60739i) q^{98} +(0.404327 + 0.885353i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 240 q + 24 q^{6}+O(q^{10}) \) Copy content Toggle raw display \( 240 q + 24 q^{6} - 44 q^{10} + 24 q^{16} - 44 q^{21} + 96 q^{23} + 16 q^{25} + 16 q^{26} + 44 q^{28} - 16 q^{31} + 44 q^{33} + 16 q^{35} - 24 q^{36} + 44 q^{37} - 88 q^{43} + 8 q^{46} + 96 q^{47} - 24 q^{50} - 24 q^{55} + 44 q^{57} - 16 q^{58} + 88 q^{61} + 56 q^{62} - 88 q^{65} + 132 q^{67} - 56 q^{70} + 16 q^{71} + 48 q^{73} + 24 q^{81} - 24 q^{82} + 44 q^{85} - 16 q^{87} + 44 q^{88} - 124 q^{92} + 32 q^{93} + 20 q^{95} - 24 q^{96} - 56 q^{98}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/690\mathbb{Z}\right)^\times\).

\(n\) \(277\) \(461\) \(511\)
\(\chi(n)\) \(e\left(\frac{3}{4}\right)\) \(1\) \(e\left(\frac{1}{22}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.877679 + 0.479249i −0.620613 + 0.338880i
\(3\) 0.997452 0.0713392i 0.575879 0.0411877i
\(4\) 0.540641 0.841254i 0.270320 0.420627i
\(5\) 2.18586 + 0.471182i 0.977547 + 0.210719i
\(6\) −0.841254 + 0.540641i −0.343440 + 0.220716i
\(7\) 1.33355 3.57540i 0.504036 1.35137i −0.397075 0.917786i \(-0.629975\pi\)
0.901111 0.433588i \(-0.142753\pi\)
\(8\) −0.0713392 + 0.997452i −0.0252222 + 0.352653i
\(9\) 0.989821 0.142315i 0.329940 0.0474383i
\(10\) −2.14430 + 0.634025i −0.678086 + 0.200496i
\(11\) 0.274213 + 0.933883i 0.0826783 + 0.281576i 0.990447 0.137895i \(-0.0440336\pi\)
−0.907769 + 0.419471i \(0.862215\pi\)
\(12\) 0.479249 0.877679i 0.138347 0.253364i
\(13\) −0.363351 + 0.135523i −0.100776 + 0.0375873i −0.399346 0.916800i \(-0.630763\pi\)
0.298571 + 0.954388i \(0.403490\pi\)
\(14\) 0.543073 + 3.77716i 0.145142 + 1.00949i
\(15\) 2.21391 + 0.314044i 0.571628 + 0.0810859i
\(16\) −0.415415 0.909632i −0.103854 0.227408i
\(17\) 6.16390 + 1.34087i 1.49496 + 0.325210i 0.884390 0.466749i \(-0.154575\pi\)
0.610574 + 0.791959i \(0.290939\pi\)
\(18\) −0.800541 + 0.599278i −0.188689 + 0.141251i
\(19\) −4.73875 3.04541i −1.08714 0.698665i −0.130947 0.991389i \(-0.541802\pi\)
−0.956197 + 0.292725i \(0.905438\pi\)
\(20\) 1.57815 1.58412i 0.352885 0.354221i
\(21\) 1.07509 3.66142i 0.234604 0.798988i
\(22\) −0.688234 0.688234i −0.146732 0.146732i
\(23\) −3.01793 3.72721i −0.629282 0.777177i
\(24\) 1.00000i 0.204124i
\(25\) 4.55597 + 2.05988i 0.911195 + 0.411976i
\(26\) 0.253957 0.293081i 0.0498050 0.0574780i
\(27\) 0.977147 0.212565i 0.188052 0.0409082i
\(28\) −2.28684 3.05486i −0.432173 0.577315i
\(29\) −1.75012 2.72324i −0.324989 0.505692i 0.639862 0.768490i \(-0.278991\pi\)
−0.964851 + 0.262797i \(0.915355\pi\)
\(30\) −2.09360 + 0.785382i −0.382238 + 0.143390i
\(31\) 0.0490589 + 0.0566169i 0.00881123 + 0.0101687i 0.760138 0.649762i \(-0.225131\pi\)
−0.751327 + 0.659930i \(0.770586\pi\)
\(32\) 0.800541 + 0.599278i 0.141517 + 0.105938i
\(33\) 0.340137 + 0.911942i 0.0592102 + 0.158749i
\(34\) −6.05253 + 1.77718i −1.03800 + 0.304785i
\(35\) 4.59963 7.18698i 0.777479 1.21482i
\(36\) 0.415415 0.909632i 0.0692358 0.151605i
\(37\) −5.11516 + 6.83305i −0.840927 + 1.12335i 0.149965 + 0.988691i \(0.452084\pi\)
−0.990892 + 0.134656i \(0.957007\pi\)
\(38\) 5.61861 + 0.401851i 0.911459 + 0.0651888i
\(39\) −0.352757 + 0.161099i −0.0564864 + 0.0257965i
\(40\) −0.625919 + 2.14668i −0.0989665 + 0.339420i
\(41\) 0.842836 5.86205i 0.131629 0.915499i −0.811803 0.583932i \(-0.801514\pi\)
0.943432 0.331567i \(-0.107577\pi\)
\(42\) 0.811149 + 3.72879i 0.125163 + 0.575365i
\(43\) 0.138451 + 1.93580i 0.0211136 + 0.295207i 0.997027 + 0.0770499i \(0.0245501\pi\)
−0.975914 + 0.218157i \(0.929995\pi\)
\(44\) 0.933883 + 0.274213i 0.140788 + 0.0413392i
\(45\) 2.23067 + 0.155306i 0.332528 + 0.0231516i
\(46\) 4.43504 + 1.82495i 0.653910 + 0.269075i
\(47\) −7.27937 + 7.27937i −1.06181 + 1.06181i −0.0638453 + 0.997960i \(0.520336\pi\)
−0.997960 + 0.0638453i \(0.979664\pi\)
\(48\) −0.479249 0.877679i −0.0691736 0.126682i
\(49\) −5.71486 4.95196i −0.816409 0.707422i
\(50\) −4.98588 + 0.375535i −0.705110 + 0.0531086i
\(51\) 6.24385 + 0.897730i 0.874313 + 0.125707i
\(52\) −0.0824333 + 0.378940i −0.0114314 + 0.0525495i
\(53\) 11.9363 + 4.45203i 1.63958 + 0.611533i 0.989002 0.147903i \(-0.0472525\pi\)
0.650582 + 0.759436i \(0.274525\pi\)
\(54\) −0.755750 + 0.654861i −0.102844 + 0.0891153i
\(55\) 0.159362 + 2.17054i 0.0214884 + 0.292676i
\(56\) 3.47115 + 1.58522i 0.463853 + 0.211834i
\(57\) −4.94393 2.69959i −0.654840 0.357569i
\(58\) 2.84115 + 1.55139i 0.373061 + 0.203707i
\(59\) 11.1289 + 5.08238i 1.44886 + 0.661670i 0.975660 0.219288i \(-0.0703733\pi\)
0.473195 + 0.880958i \(0.343101\pi\)
\(60\) 1.46112 1.69267i 0.188630 0.218523i
\(61\) 5.42228 4.69843i 0.694251 0.601572i −0.234570 0.972099i \(-0.575368\pi\)
0.928822 + 0.370527i \(0.120823\pi\)
\(62\) −0.0701916 0.0261801i −0.00891434 0.00332488i
\(63\) 0.811149 3.72879i 0.102195 0.469784i
\(64\) −0.989821 0.142315i −0.123728 0.0177894i
\(65\) −0.858092 + 0.125030i −0.106433 + 0.0155080i
\(66\) −0.735578 0.637382i −0.0905434 0.0784563i
\(67\) −2.25028 4.12107i −0.274915 0.503469i 0.703346 0.710848i \(-0.251689\pi\)
−0.978261 + 0.207379i \(0.933507\pi\)
\(68\) 4.46047 4.46047i 0.540911 0.540911i
\(69\) −3.27614 3.50242i −0.394401 0.421642i
\(70\) −0.592647 + 8.51223i −0.0708349 + 1.01741i
\(71\) −3.89999 1.14514i −0.462844 0.135903i 0.0419930 0.999118i \(-0.486629\pi\)
−0.504837 + 0.863215i \(0.668447\pi\)
\(72\) 0.0713392 + 0.997452i 0.00840740 + 0.117551i
\(73\) 0.475950 + 2.18791i 0.0557058 + 0.256075i 0.996575 0.0826949i \(-0.0263527\pi\)
−0.940869 + 0.338770i \(0.889989\pi\)
\(74\) 1.21473 8.44866i 0.141210 0.982137i
\(75\) 4.69132 + 1.72961i 0.541707 + 0.199718i
\(76\) −5.12392 + 2.34002i −0.587754 + 0.268418i
\(77\) 3.70468 + 0.264964i 0.422188 + 0.0301955i
\(78\) 0.232401 0.310452i 0.0263143 0.0351517i
\(79\) 2.42651 5.31332i 0.273004 0.597795i −0.722620 0.691246i \(-0.757062\pi\)
0.995624 + 0.0934502i \(0.0297896\pi\)
\(80\) −0.479437 2.18407i −0.0536027 0.244186i
\(81\) 0.959493 0.281733i 0.106610 0.0313036i
\(82\) 2.06964 + 5.54893i 0.228554 + 0.612777i
\(83\) 2.85816 + 2.13959i 0.313723 + 0.234850i 0.744522 0.667598i \(-0.232677\pi\)
−0.430799 + 0.902448i \(0.641768\pi\)
\(84\) −2.49895 2.88394i −0.272658 0.314664i
\(85\) 12.8416 + 5.83528i 1.39287 + 0.632925i
\(86\) −1.04925 1.63266i −0.113143 0.176054i
\(87\) −1.93993 2.59145i −0.207983 0.277832i
\(88\) −0.951066 + 0.206892i −0.101384 + 0.0220547i
\(89\) 0.830562 0.958520i 0.0880394 0.101603i −0.710021 0.704181i \(-0.751314\pi\)
0.798060 + 0.602578i \(0.205860\pi\)
\(90\) −2.03224 + 0.932737i −0.214217 + 0.0983191i
\(91\) 1.47985i 0.155131i
\(92\) −4.76715 + 0.523762i −0.497009 + 0.0546059i
\(93\) 0.0529729 + 0.0529729i 0.00549303 + 0.00549303i
\(94\) 2.90032 9.87758i 0.299145 1.01879i
\(95\) −8.92330 8.88965i −0.915511 0.912059i
\(96\) 0.841254 + 0.540641i 0.0858601 + 0.0551789i
\(97\) −10.6558 + 7.97683i −1.08193 + 0.809925i −0.982712 0.185141i \(-0.940726\pi\)
−0.0992207 + 0.995065i \(0.531635\pi\)
\(98\) 7.38904 + 1.60739i 0.746405 + 0.162371i
\(99\) 0.404327 + 0.885353i 0.0406364 + 0.0889814i
\(100\) 4.19603 2.71908i 0.419603 0.271908i
\(101\) 1.55156 + 10.7913i 0.154386 + 1.07378i 0.908756 + 0.417328i \(0.137033\pi\)
−0.754370 + 0.656450i \(0.772057\pi\)
\(102\) −5.91033 + 2.20444i −0.585210 + 0.218272i
\(103\) −5.67500 + 10.3930i −0.559174 + 1.02405i 0.433260 + 0.901269i \(0.357363\pi\)
−0.992434 + 0.122782i \(0.960819\pi\)
\(104\) −0.109257 0.372094i −0.0107135 0.0364868i
\(105\) 4.07520 7.49680i 0.397699 0.731613i
\(106\) −12.6099 + 1.81303i −1.22478 + 0.176097i
\(107\) −1.22992 + 17.1965i −0.118901 + 1.66245i 0.491892 + 0.870656i \(0.336305\pi\)
−0.610793 + 0.791791i \(0.709149\pi\)
\(108\) 0.349464 0.936950i 0.0336272 0.0901580i
\(109\) −10.2548 + 6.59035i −0.982231 + 0.631241i −0.930064 0.367397i \(-0.880249\pi\)
−0.0521665 + 0.998638i \(0.516613\pi\)
\(110\) −1.18010 1.82867i −0.112518 0.174356i
\(111\) −4.61466 + 7.18056i −0.438004 + 0.681548i
\(112\) −3.80628 + 0.272230i −0.359659 + 0.0257233i
\(113\) 11.8013 6.44401i 1.11018 0.606202i 0.183861 0.982952i \(-0.441140\pi\)
0.926315 + 0.376750i \(0.122959\pi\)
\(114\) 5.63296 0.527575
\(115\) −4.84058 9.56916i −0.451386 0.892329i
\(116\) −3.23712 −0.300559
\(117\) −0.340366 + 0.185854i −0.0314668 + 0.0171822i
\(118\) −12.2033 + 0.872797i −1.12341 + 0.0803475i
\(119\) 13.0140 20.2503i 1.19300 1.85634i
\(120\) −0.471182 + 2.18586i −0.0430129 + 0.199541i
\(121\) 8.45684 5.43488i 0.768804 0.494080i
\(122\) −2.50730 + 6.72233i −0.227000 + 0.608611i
\(123\) 0.422495 5.90725i 0.0380950 0.532638i
\(124\) 0.0741524 0.0106615i 0.00665909 0.000957432i
\(125\) 8.98815 + 6.64930i 0.803924 + 0.594731i
\(126\) 1.07509 + 3.66142i 0.0957767 + 0.326186i
\(127\) −0.372763 + 0.682665i −0.0330774 + 0.0605768i −0.893695 0.448675i \(-0.851896\pi\)
0.860618 + 0.509252i \(0.170078\pi\)
\(128\) 0.936950 0.349464i 0.0828154 0.0308886i
\(129\) 0.276197 + 1.92099i 0.0243178 + 0.169134i
\(130\) 0.693208 0.520976i 0.0607984 0.0456926i
\(131\) −2.71596 5.94713i −0.237295 0.519603i 0.753094 0.657913i \(-0.228560\pi\)
−0.990389 + 0.138310i \(0.955833\pi\)
\(132\) 0.951066 + 0.206892i 0.0827797 + 0.0180076i
\(133\) −17.2079 + 12.8817i −1.49212 + 1.11698i
\(134\) 3.95004 + 2.53854i 0.341231 + 0.219296i
\(135\) 2.23606 0.00422385i 0.192450 0.000363532i
\(136\) −1.77718 + 6.05253i −0.152392 + 0.519000i
\(137\) −4.37090 4.37090i −0.373431 0.373431i 0.495294 0.868725i \(-0.335060\pi\)
−0.868725 + 0.495294i \(0.835060\pi\)
\(138\) 4.55393 + 1.50391i 0.387656 + 0.128022i
\(139\) 17.8821i 1.51674i −0.651824 0.758370i \(-0.725996\pi\)
0.651824 0.758370i \(-0.274004\pi\)
\(140\) −3.55932 7.75503i −0.300818 0.655419i
\(141\) −6.74152 + 7.78013i −0.567738 + 0.655205i
\(142\) 3.97175 0.864002i 0.333302 0.0725054i
\(143\) −0.226198 0.302166i −0.0189157 0.0252684i
\(144\) −0.540641 0.841254i −0.0450534 0.0701045i
\(145\) −2.54237 6.77724i −0.211133 0.562819i
\(146\) −1.46628 1.69218i −0.121351 0.140046i
\(147\) −6.05357 4.53165i −0.499290 0.373764i
\(148\) 2.98287 + 7.99738i 0.245190 + 0.657380i
\(149\) −22.5527 + 6.62207i −1.84759 + 0.542501i −0.847662 + 0.530537i \(0.821990\pi\)
−0.999928 + 0.0119646i \(0.996191\pi\)
\(150\) −4.94638 + 0.730266i −0.403871 + 0.0596260i
\(151\) −3.11780 + 6.82703i −0.253723 + 0.555575i −0.993039 0.117783i \(-0.962421\pi\)
0.739317 + 0.673358i \(0.235149\pi\)
\(152\) 3.37571 4.50942i 0.273806 0.365762i
\(153\) 6.29198 + 0.450011i 0.508677 + 0.0363813i
\(154\) −3.37851 + 1.54291i −0.272248 + 0.124331i
\(155\) 0.0805589 + 0.146872i 0.00647065 + 0.0117971i
\(156\) −0.0551900 + 0.383855i −0.00441874 + 0.0307330i
\(157\) 1.98589 + 9.12901i 0.158492 + 0.728574i 0.985949 + 0.167046i \(0.0534228\pi\)
−0.827457 + 0.561528i \(0.810214\pi\)
\(158\) 0.416705 + 5.82629i 0.0331513 + 0.463515i
\(159\) 12.2235 + 3.58915i 0.969390 + 0.284638i
\(160\) 1.46750 + 1.68714i 0.116016 + 0.133380i
\(161\) −17.3508 + 5.81986i −1.36744 + 0.458669i
\(162\) −0.707107 + 0.707107i −0.0555556 + 0.0555556i
\(163\) −7.76393 14.2186i −0.608118 1.11368i −0.982474 0.186400i \(-0.940318\pi\)
0.374356 0.927285i \(-0.377864\pi\)
\(164\) −4.47580 3.87830i −0.349501 0.302845i
\(165\) 0.313801 + 2.15364i 0.0244294 + 0.167661i
\(166\) −3.53394 0.508104i −0.274287 0.0394365i
\(167\) −2.78193 + 12.7883i −0.215272 + 0.989590i 0.734975 + 0.678094i \(0.237194\pi\)
−0.950247 + 0.311496i \(0.899170\pi\)
\(168\) 3.57540 + 1.33355i 0.275848 + 0.102886i
\(169\) −9.71109 + 8.41470i −0.747007 + 0.647285i
\(170\) −14.0674 + 1.03283i −1.07892 + 0.0792145i
\(171\) −5.12392 2.34002i −0.391836 0.178946i
\(172\) 1.70335 + 0.930102i 0.129880 + 0.0709196i
\(173\) −6.67813 3.64654i −0.507729 0.277241i 0.204899 0.978783i \(-0.434313\pi\)
−0.712628 + 0.701542i \(0.752495\pi\)
\(174\) 2.94459 + 1.34475i 0.223228 + 0.101945i
\(175\) 13.4405 13.5425i 1.01601 1.02371i
\(176\) 0.735578 0.637382i 0.0554463 0.0480445i
\(177\) 11.4631 + 4.27551i 0.861618 + 0.321367i
\(178\) −0.269597 + 1.23932i −0.0202072 + 0.0928909i
\(179\) −24.5473 3.52937i −1.83475 0.263797i −0.863931 0.503611i \(-0.832005\pi\)
−0.970819 + 0.239814i \(0.922914\pi\)
\(180\) 1.33664 1.79259i 0.0996274 0.133612i
\(181\) −17.9599 15.5624i −1.33495 1.15674i −0.974607 0.223924i \(-0.928113\pi\)
−0.360345 0.932819i \(-0.617341\pi\)
\(182\) −0.709218 1.29884i −0.0525708 0.0962762i
\(183\) 5.07328 5.07328i 0.375028 0.375028i
\(184\) 3.93301 2.74434i 0.289945 0.202316i
\(185\) −14.4006 + 12.5259i −1.05876 + 0.920925i
\(186\) −0.0718804 0.0211060i −0.00527053 0.00154757i
\(187\) 0.438000 + 6.12404i 0.0320298 + 0.447834i
\(188\) 2.18827 + 10.0593i 0.159596 + 0.733651i
\(189\) 0.543073 3.77716i 0.0395028 0.274748i
\(190\) 12.0921 + 3.52578i 0.877257 + 0.255787i
\(191\) −5.22626 + 2.38675i −0.378159 + 0.172699i −0.595421 0.803414i \(-0.703015\pi\)
0.217262 + 0.976113i \(0.430287\pi\)
\(192\) −0.997452 0.0713392i −0.0719849 0.00514846i
\(193\) 2.72149 3.63548i 0.195897 0.261688i −0.691828 0.722063i \(-0.743194\pi\)
0.887725 + 0.460375i \(0.152285\pi\)
\(194\) 5.52948 12.1079i 0.396994 0.869295i
\(195\) −0.846986 + 0.185927i −0.0606539 + 0.0133145i
\(196\) −7.25554 + 2.13042i −0.518253 + 0.152173i
\(197\) 5.41721 + 14.5241i 0.385960 + 1.03480i 0.974115 + 0.226051i \(0.0725817\pi\)
−0.588155 + 0.808748i \(0.700146\pi\)
\(198\) −0.779174 0.583283i −0.0553735 0.0414521i
\(199\) −2.24405 2.58977i −0.159076 0.183584i 0.670616 0.741804i \(-0.266030\pi\)
−0.829693 + 0.558221i \(0.811484\pi\)
\(200\) −2.37965 + 4.39742i −0.168267 + 0.310944i
\(201\) −2.53854 3.95004i −0.179055 0.278614i
\(202\) −6.53351 8.72774i −0.459696 0.614082i
\(203\) −12.0705 + 2.62578i −0.847185 + 0.184294i
\(204\) 4.13090 4.76731i 0.289221 0.333778i
\(205\) 4.60442 12.4165i 0.321587 0.867206i
\(206\) 11.8414i 0.825032i
\(207\) −3.51765 3.25978i −0.244494 0.226570i
\(208\) 0.274218 + 0.274218i 0.0190136 + 0.0190136i
\(209\) 1.54463 5.26053i 0.106844 0.363878i
\(210\) 0.0161182 + 8.53282i 0.00111226 + 0.588820i
\(211\) 0.879820 + 0.565426i 0.0605693 + 0.0389255i 0.570575 0.821245i \(-0.306720\pi\)
−0.510006 + 0.860171i \(0.670357\pi\)
\(212\) 10.1986 7.63455i 0.700440 0.524343i
\(213\) −3.97175 0.864002i −0.272140 0.0592004i
\(214\) −7.16192 15.6824i −0.489579 1.07203i
\(215\) −0.609481 + 4.29663i −0.0415663 + 0.293028i
\(216\) 0.142315 + 0.989821i 0.00968330 + 0.0673488i
\(217\) 0.267851 0.0999032i 0.0181829 0.00678187i
\(218\) 5.84199 10.6988i 0.395670 0.724615i
\(219\) 0.630821 + 2.14838i 0.0426270 + 0.145174i
\(220\) 1.91213 + 1.03942i 0.128916 + 0.0700777i
\(221\) −2.42138 + 0.348142i −0.162880 + 0.0234185i
\(222\) 0.608919 8.51380i 0.0408679 0.571409i
\(223\) 5.08542 13.6345i 0.340545 0.913036i −0.647937 0.761694i \(-0.724368\pi\)
0.988481 0.151342i \(-0.0483594\pi\)
\(224\) 3.21022 2.06308i 0.214492 0.137846i
\(225\) 4.80275 + 1.39053i 0.320183 + 0.0927019i
\(226\) −7.26949 + 11.3116i −0.483559 + 0.752433i
\(227\) 9.44228 0.675326i 0.626706 0.0448229i 0.245626 0.969365i \(-0.421007\pi\)
0.381081 + 0.924542i \(0.375552\pi\)
\(228\) −4.94393 + 2.69959i −0.327420 + 0.178785i
\(229\) 3.31839 0.219285 0.109643 0.993971i \(-0.465029\pi\)
0.109643 + 0.993971i \(0.465029\pi\)
\(230\) 8.83448 + 6.07881i 0.582529 + 0.400825i
\(231\) 3.71415 0.244373
\(232\) 2.84115 1.55139i 0.186531 0.101853i
\(233\) −6.38529 + 0.456685i −0.418314 + 0.0299184i −0.278910 0.960317i \(-0.589973\pi\)
−0.139404 + 0.990236i \(0.544519\pi\)
\(234\) 0.209662 0.326240i 0.0137060 0.0213270i
\(235\) −19.3416 + 12.4818i −1.26171 + 0.814221i
\(236\) 10.2923 6.61446i 0.669971 0.430564i
\(237\) 2.04128 5.47289i 0.132596 0.355502i
\(238\) −1.71724 + 24.0102i −0.111312 + 1.55635i
\(239\) 6.07333 0.873213i 0.392851 0.0564834i 0.0569410 0.998378i \(-0.481865\pi\)
0.335910 + 0.941894i \(0.390956\pi\)
\(240\) −0.634025 2.14430i −0.0409261 0.138414i
\(241\) 1.27095 + 4.32846i 0.0818690 + 0.278820i 0.990246 0.139333i \(-0.0444957\pi\)
−0.908377 + 0.418153i \(0.862678\pi\)
\(242\) −4.81773 + 8.82302i −0.309696 + 0.567165i
\(243\) 0.936950 0.349464i 0.0601054 0.0224181i
\(244\) −1.02107 7.10167i −0.0653671 0.454638i
\(245\) −10.1586 13.5170i −0.649010 0.863571i
\(246\) 2.46023 + 5.38715i 0.156858 + 0.343472i
\(247\) 2.13455 + 0.464344i 0.135818 + 0.0295455i
\(248\) −0.0599725 + 0.0448949i −0.00380826 + 0.00285083i
\(249\) 3.00351 + 1.93024i 0.190340 + 0.122324i
\(250\) −11.0754 1.52839i −0.700468 0.0966639i
\(251\) −4.74550 + 16.1617i −0.299533 + 1.02012i 0.662925 + 0.748686i \(0.269315\pi\)
−0.962458 + 0.271431i \(0.912503\pi\)
\(252\) −2.69832 2.69832i −0.169978 0.169978i
\(253\) 2.65323 3.84044i 0.166807 0.241447i
\(254\) 0.777808i 0.0488040i
\(255\) 13.2252 + 4.90430i 0.828193 + 0.307119i
\(256\) −0.654861 + 0.755750i −0.0409288 + 0.0472343i
\(257\) −5.84972 + 1.27253i −0.364895 + 0.0793781i −0.391275 0.920274i \(-0.627966\pi\)
0.0263796 + 0.999652i \(0.491602\pi\)
\(258\) −1.16305 1.55365i −0.0724082 0.0967260i
\(259\) 17.6095 + 27.4010i 1.09420 + 1.70261i
\(260\) −0.358738 + 0.789469i −0.0222480 + 0.0489608i
\(261\) −2.11986 2.44645i −0.131216 0.151431i
\(262\) 5.23390 + 3.91805i 0.323351 + 0.242058i
\(263\) −2.43648 6.53247i −0.150240 0.402809i 0.839927 0.542700i \(-0.182598\pi\)
−0.990167 + 0.139890i \(0.955325\pi\)
\(264\) −0.933883 + 0.274213i −0.0574766 + 0.0168766i
\(265\) 23.9935 + 15.3557i 1.47391 + 0.943294i
\(266\) 8.92950 19.5529i 0.547503 1.19886i
\(267\) 0.760066 1.01533i 0.0465153 0.0621371i
\(268\) −4.68346 0.334967i −0.286088 0.0204614i
\(269\) −9.83916 + 4.49339i −0.599904 + 0.273967i −0.692132 0.721771i \(-0.743328\pi\)
0.0922279 + 0.995738i \(0.470601\pi\)
\(270\) −1.96052 + 1.07534i −0.119314 + 0.0654430i
\(271\) 2.52104 17.5342i 0.153142 1.06513i −0.757768 0.652524i \(-0.773710\pi\)
0.910910 0.412605i \(-0.135381\pi\)
\(272\) −1.34087 6.16390i −0.0813024 0.373741i
\(273\) 0.105572 + 1.47608i 0.00638948 + 0.0893366i
\(274\) 5.93100 + 1.74150i 0.358305 + 0.105208i
\(275\) −0.674379 + 4.81959i −0.0406666 + 0.290632i
\(276\) −4.71763 + 0.862512i −0.283968 + 0.0519171i
\(277\) 4.91405 4.91405i 0.295257 0.295257i −0.543896 0.839153i \(-0.683051\pi\)
0.839153 + 0.543896i \(0.183051\pi\)
\(278\) 8.56998 + 15.6947i 0.513993 + 0.941308i
\(279\) 0.0566169 + 0.0490589i 0.00338957 + 0.00293708i
\(280\) 6.84053 + 5.10062i 0.408800 + 0.304821i
\(281\) 1.68557 + 0.242348i 0.100553 + 0.0144573i 0.192407 0.981315i \(-0.438370\pi\)
−0.0918548 + 0.995772i \(0.529280\pi\)
\(282\) 2.18827 10.0593i 0.130310 0.599024i
\(283\) 24.7516 + 9.23186i 1.47133 + 0.548777i 0.952081 0.305846i \(-0.0989393\pi\)
0.519248 + 0.854624i \(0.326212\pi\)
\(284\) −3.07185 + 2.66177i −0.182281 + 0.157947i
\(285\) −9.53474 8.23042i −0.564790 0.487528i
\(286\) 0.343342 + 0.156799i 0.0203022 + 0.00927172i
\(287\) −19.8352 10.8308i −1.17084 0.639325i
\(288\) 0.877679 + 0.479249i 0.0517177 + 0.0282400i
\(289\) 20.7319 + 9.46795i 1.21952 + 0.556938i
\(290\) 5.47937 + 4.72981i 0.321760 + 0.277744i
\(291\) −10.0596 + 8.71669i −0.589704 + 0.510981i
\(292\) 2.09790 + 0.782478i 0.122771 + 0.0457911i
\(293\) −2.82785 + 12.9994i −0.165205 + 0.759434i 0.817748 + 0.575576i \(0.195222\pi\)
−0.982953 + 0.183858i \(0.941141\pi\)
\(294\) 7.48488 + 1.07616i 0.436527 + 0.0627631i
\(295\) 21.9314 + 16.3531i 1.27690 + 0.952115i
\(296\) −6.45073 5.58959i −0.374941 0.324888i
\(297\) 0.466457 + 0.854253i 0.0270666 + 0.0495688i
\(298\) 16.6204 16.6204i 0.962795 0.962795i
\(299\) 1.60169 + 0.945288i 0.0926282 + 0.0546674i
\(300\) 3.99136 3.01149i 0.230441 0.173868i
\(301\) 7.10590 + 2.08648i 0.409577 + 0.120263i
\(302\) −0.535419 7.48614i −0.0308099 0.430779i
\(303\) 2.31745 + 10.6532i 0.133134 + 0.612008i
\(304\) −0.801654 + 5.57562i −0.0459780 + 0.319784i
\(305\) 14.0662 7.71523i 0.805426 0.441773i
\(306\) −5.73801 + 2.62046i −0.328020 + 0.149802i
\(307\) 0.410966 + 0.0293928i 0.0234551 + 0.00167754i 0.0830618 0.996544i \(-0.473530\pi\)
−0.0596067 + 0.998222i \(0.518985\pi\)
\(308\) 2.22581 2.97333i 0.126827 0.169421i
\(309\) −4.91911 + 10.7713i −0.279838 + 0.612761i
\(310\) −0.141093 0.0902991i −0.00801356 0.00512864i
\(311\) 17.0529 5.00719i 0.966982 0.283932i 0.240142 0.970738i \(-0.422806\pi\)
0.726840 + 0.686806i \(0.240988\pi\)
\(312\) −0.135523 0.363351i −0.00767248 0.0205707i
\(313\) −13.3095 9.96338i −0.752299 0.563164i 0.152855 0.988249i \(-0.451153\pi\)
−0.905153 + 0.425085i \(0.860244\pi\)
\(314\) −6.11805 7.06060i −0.345261 0.398453i
\(315\) 3.53000 7.76842i 0.198893 0.437701i
\(316\) −3.15798 4.91391i −0.177650 0.276429i
\(317\) 15.7961 + 21.1012i 0.887200 + 1.18516i 0.981852 + 0.189650i \(0.0607352\pi\)
−0.0946521 + 0.995510i \(0.530174\pi\)
\(318\) −12.4484 + 2.70799i −0.698074 + 0.151857i
\(319\) 2.06328 2.38115i 0.115522 0.133319i
\(320\) −2.09656 0.777467i −0.117201 0.0434617i
\(321\) 17.2404i 0.962266i
\(322\) 12.4393 13.4233i 0.693215 0.748054i
\(323\) −25.1256 25.1256i −1.39803 1.39803i
\(324\) 0.281733 0.959493i 0.0156518 0.0533052i
\(325\) −1.93458 0.131020i −0.107311 0.00726767i
\(326\) 13.6285 + 8.75849i 0.754812 + 0.485088i
\(327\) −9.75851 + 7.30513i −0.539647 + 0.403975i
\(328\) 5.78699 + 1.25888i 0.319533 + 0.0695102i
\(329\) 16.3192 + 35.7341i 0.899707 + 1.97008i
\(330\) −1.30755 1.73982i −0.0719782 0.0957739i
\(331\) 4.05028 + 28.1703i 0.222624 + 1.54838i 0.728057 + 0.685516i \(0.240423\pi\)
−0.505434 + 0.862865i \(0.668667\pi\)
\(332\) 3.34517 1.24768i 0.183590 0.0684756i
\(333\) −4.09065 + 7.49147i −0.224166 + 0.410530i
\(334\) −3.68715 12.5573i −0.201752 0.687103i
\(335\) −2.97701 10.0684i −0.162652 0.550094i
\(336\) −3.77716 + 0.543073i −0.206061 + 0.0296271i
\(337\) 1.98422 27.7431i 0.108088 1.51126i −0.597058 0.802198i \(-0.703664\pi\)
0.705145 0.709063i \(-0.250882\pi\)
\(338\) 4.49048 12.0394i 0.244250 0.654859i
\(339\) 11.3116 7.26949i 0.614359 0.394825i
\(340\) 11.8517 7.64827i 0.642746 0.414786i
\(341\) −0.0394211 + 0.0613404i −0.00213477 + 0.00332177i
\(342\) 5.61861 0.401851i 0.303820 0.0217296i
\(343\) −1.88175 + 1.02751i −0.101605 + 0.0554805i
\(344\) −1.94075 −0.104638
\(345\) −5.51090 9.19945i −0.296697 0.495282i
\(346\) 7.60886 0.409055
\(347\) 1.98019 1.08127i 0.106302 0.0580454i −0.425218 0.905091i \(-0.639803\pi\)
0.531520 + 0.847045i \(0.321621\pi\)
\(348\) −3.22887 + 0.230933i −0.173086 + 0.0123793i
\(349\) −3.55257 + 5.52791i −0.190165 + 0.295902i −0.923224 0.384263i \(-0.874456\pi\)
0.733059 + 0.680165i \(0.238092\pi\)
\(350\) −5.30625 + 18.3273i −0.283631 + 0.979635i
\(351\) −0.326240 + 0.209662i −0.0174134 + 0.0111909i
\(352\) −0.340137 + 0.911942i −0.0181293 + 0.0486067i
\(353\) −2.28504 + 31.9490i −0.121620 + 1.70047i 0.460735 + 0.887538i \(0.347586\pi\)
−0.582355 + 0.812935i \(0.697869\pi\)
\(354\) −12.1099 + 1.74115i −0.643636 + 0.0925409i
\(355\) −7.98528 4.34073i −0.423814 0.230382i
\(356\) −0.357322 1.21693i −0.0189380 0.0644971i
\(357\) 11.5363 21.1271i 0.610563 1.11816i
\(358\) 23.2361 8.66661i 1.22806 0.458044i
\(359\) −3.31404 23.0497i −0.174908 1.21652i −0.868331 0.495984i \(-0.834807\pi\)
0.693423 0.720531i \(-0.256102\pi\)
\(360\) −0.314044 + 2.21391i −0.0165516 + 0.116683i
\(361\) 5.28833 + 11.5798i 0.278333 + 0.609465i
\(362\) 23.2213 + 5.05149i 1.22049 + 0.265500i
\(363\) 8.04758 6.02434i 0.422388 0.316196i
\(364\) 1.24493 + 0.800069i 0.0652522 + 0.0419350i
\(365\) 0.00945754 + 5.00672i 0.000495030 + 0.262064i
\(366\) −2.02135 + 6.88407i −0.105657 + 0.359836i
\(367\) −18.2764 18.2764i −0.954020 0.954020i 0.0449685 0.998988i \(-0.485681\pi\)
−0.998988 + 0.0449685i \(0.985681\pi\)
\(368\) −2.13670 + 4.29354i −0.111383 + 0.223816i
\(369\) 5.92233i 0.308304i
\(370\) 6.63610 17.8952i 0.344994 0.930329i
\(371\) 31.8355 36.7402i 1.65282 1.90746i
\(372\) 0.0732029 0.0159243i 0.00379539 0.000825638i
\(373\) 6.57802 + 8.78721i 0.340597 + 0.454984i 0.937836 0.347079i \(-0.112826\pi\)
−0.597239 + 0.802063i \(0.703736\pi\)
\(374\) −3.31937 5.16503i −0.171640 0.267078i
\(375\) 9.43960 + 5.99115i 0.487459 + 0.309382i
\(376\) −6.74152 7.78013i −0.347667 0.401229i
\(377\) 1.00497 + 0.752310i 0.0517585 + 0.0387460i
\(378\) 1.33355 + 3.57540i 0.0685907 + 0.183899i
\(379\) 4.88542 1.43449i 0.250947 0.0736848i −0.153840 0.988096i \(-0.549164\pi\)
0.404787 + 0.914411i \(0.367346\pi\)
\(380\) −12.3028 + 2.70065i −0.631118 + 0.138540i
\(381\) −0.323113 + 0.707519i −0.0165536 + 0.0362473i
\(382\) 3.44313 4.59948i 0.176166 0.235330i
\(383\) −2.24872 0.160832i −0.114904 0.00821813i 0.0137685 0.999905i \(-0.495617\pi\)
−0.128673 + 0.991687i \(0.541072\pi\)
\(384\) 0.909632 0.415415i 0.0464195 0.0211991i
\(385\) 7.97308 + 2.32476i 0.406346 + 0.118481i
\(386\) −0.646292 + 4.49506i −0.0328954 + 0.228792i
\(387\) 0.412536 + 1.89640i 0.0209704 + 0.0963993i
\(388\) 0.949578 + 13.2768i 0.0482075 + 0.674029i
\(389\) −26.2514 7.70811i −1.33100 0.390816i −0.462549 0.886594i \(-0.653065\pi\)
−0.868450 + 0.495777i \(0.834883\pi\)
\(390\) 0.654276 0.569101i 0.0331306 0.0288176i
\(391\) −13.6045 27.0208i −0.688008 1.36650i
\(392\) 5.34703 5.34703i 0.270066 0.270066i
\(393\) −3.13331 5.73822i −0.158054 0.289455i
\(394\) −11.7152 10.1513i −0.590205 0.511416i
\(395\) 7.80756 10.4709i 0.392841 0.526846i
\(396\) 0.963402 + 0.138516i 0.0484128 + 0.00696071i
\(397\) −0.505823 + 2.32523i −0.0253865 + 0.116700i −0.988096 0.153836i \(-0.950837\pi\)
0.962710 + 0.270536i \(0.0872009\pi\)
\(398\) 3.21070 + 1.19753i 0.160938 + 0.0600267i
\(399\) −16.2451 + 14.0765i −0.813273 + 0.704705i
\(400\) −0.0188896 4.99996i −0.000944481 0.249998i
\(401\) −20.0093 9.13794i −0.999217 0.456327i −0.152461 0.988309i \(-0.548720\pi\)
−0.846755 + 0.531983i \(0.821447\pi\)
\(402\) 4.12107 + 2.25028i 0.205540 + 0.112234i
\(403\) −0.0254985 0.0139232i −0.00127017 0.000693566i
\(404\) 9.91708 + 4.52898i 0.493393 + 0.225325i
\(405\) 2.23007 0.163732i 0.110813 0.00813591i
\(406\) 9.33565 8.08939i 0.463321 0.401470i
\(407\) −7.78392 2.90325i −0.385835 0.143909i
\(408\) −1.34087 + 6.16390i −0.0663831 + 0.305158i
\(409\) 27.9282 + 4.01547i 1.38096 + 0.198552i 0.792451 0.609936i \(-0.208805\pi\)
0.588512 + 0.808488i \(0.299714\pi\)
\(410\) 1.90940 + 13.1044i 0.0942983 + 0.647179i
\(411\) −4.67158 4.04795i −0.230432 0.199671i
\(412\) 5.67500 + 10.3930i 0.279587 + 0.512025i
\(413\) 33.0125 33.0125i 1.62444 1.62444i
\(414\) 4.64961 + 1.17521i 0.228516 + 0.0577583i
\(415\) 5.23940 + 6.02356i 0.257192 + 0.295685i
\(416\) −0.372094 0.109257i −0.0182434 0.00535674i
\(417\) −1.27569 17.8365i −0.0624710 0.873459i
\(418\) 1.16541 + 5.35732i 0.0570022 + 0.262035i
\(419\) 2.07037 14.3998i 0.101144 0.703475i −0.874645 0.484764i \(-0.838906\pi\)
0.975790 0.218711i \(-0.0701853\pi\)
\(420\) −4.10349 7.48135i −0.200230 0.365053i
\(421\) 13.0428 5.95647i 0.635670 0.290301i −0.0713966 0.997448i \(-0.522746\pi\)
0.707066 + 0.707147i \(0.250018\pi\)
\(422\) −1.04318 0.0746097i −0.0507812 0.00363194i
\(423\) −6.16931 + 8.24124i −0.299962 + 0.400703i
\(424\) −5.29221 + 11.5883i −0.257013 + 0.562779i
\(425\) 25.3205 + 18.8059i 1.22823 + 0.912218i
\(426\) 3.89999 1.14514i 0.188955 0.0554823i
\(427\) −9.56786 25.6524i −0.463021 1.24141i
\(428\) 13.8017 + 10.3318i 0.667128 + 0.499406i
\(429\) −0.247178 0.285259i −0.0119339 0.0137724i
\(430\) −1.52423 4.06316i −0.0735048 0.195943i
\(431\) −4.06779 6.32960i −0.195938 0.304886i 0.729357 0.684133i \(-0.239819\pi\)
−0.925295 + 0.379247i \(0.876183\pi\)
\(432\) −0.599278 0.800541i −0.0288328 0.0385161i
\(433\) −4.84668 + 1.05433i −0.232917 + 0.0506679i −0.327509 0.944848i \(-0.606209\pi\)
0.0945918 + 0.995516i \(0.469845\pi\)
\(434\) −0.187209 + 0.216050i −0.00898630 + 0.0103707i
\(435\) −3.01938 6.57860i −0.144768 0.315420i
\(436\) 12.1899i 0.583790i
\(437\) 2.95033 + 26.8531i 0.141133 + 1.28456i
\(438\) −1.58327 1.58327i −0.0756515 0.0756515i
\(439\) −5.84276 + 19.8986i −0.278860 + 0.949709i 0.694321 + 0.719666i \(0.255705\pi\)
−0.973180 + 0.230043i \(0.926113\pi\)
\(440\) −2.17638 + 0.00411112i −0.103755 + 0.000195990i
\(441\) −6.36143 4.08824i −0.302925 0.194678i
\(442\) 1.95835 1.46600i 0.0931491 0.0697305i
\(443\) 24.6639 + 5.36531i 1.17182 + 0.254914i 0.756023 0.654545i \(-0.227140\pi\)
0.415795 + 0.909458i \(0.363503\pi\)
\(444\) 3.54579 + 7.76420i 0.168276 + 0.368473i
\(445\) 2.26713 1.70384i 0.107472 0.0807700i
\(446\) 2.07097 + 14.4039i 0.0980634 + 0.682046i
\(447\) −22.0228 + 8.21409i −1.04164 + 0.388513i
\(448\) −1.82881 + 3.34922i −0.0864033 + 0.158236i
\(449\) 5.27726 + 17.9727i 0.249050 + 0.848185i 0.985206 + 0.171374i \(0.0548205\pi\)
−0.736157 + 0.676811i \(0.763361\pi\)
\(450\) −4.88168 + 1.08128i −0.230125 + 0.0509719i
\(451\) 5.70559 0.820340i 0.268666 0.0386283i
\(452\) 0.959231 13.4118i 0.0451184 0.630838i
\(453\) −2.62282 + 7.03205i −0.123231 + 0.330395i
\(454\) −7.96365 + 5.11792i −0.373752 + 0.240196i
\(455\) −0.697281 + 3.23475i −0.0326890 + 0.151648i
\(456\) 3.04541 4.73875i 0.142614 0.221912i
\(457\) 29.5147 2.11093i 1.38064 0.0987452i 0.638825 0.769352i \(-0.279421\pi\)
0.741813 + 0.670607i \(0.233966\pi\)
\(458\) −2.91248 + 1.59033i −0.136091 + 0.0743114i
\(459\) 6.30805 0.294435
\(460\) −10.6671 1.10132i −0.497356 0.0513495i
\(461\) 40.7854 1.89956 0.949782 0.312911i \(-0.101304\pi\)
0.949782 + 0.312911i \(0.101304\pi\)
\(462\) −3.25983 + 1.78000i −0.151661 + 0.0828132i
\(463\) −20.5689 + 1.47112i −0.955918 + 0.0683686i −0.540574 0.841296i \(-0.681793\pi\)
−0.415343 + 0.909665i \(0.636339\pi\)
\(464\) −1.75012 + 2.72324i −0.0812472 + 0.126423i
\(465\) 0.0908315 + 0.140751i 0.00421221 + 0.00652718i
\(466\) 5.38537 3.46097i 0.249472 0.160326i
\(467\) −10.4118 + 27.9151i −0.481801 + 1.29176i 0.437859 + 0.899044i \(0.355737\pi\)
−0.919660 + 0.392715i \(0.871536\pi\)
\(468\) −0.0276655 + 0.386814i −0.00127884 + 0.0178805i
\(469\) −17.7353 + 2.54996i −0.818942 + 0.117746i
\(470\) 10.9938 20.2244i 0.507108 0.932884i
\(471\) 2.63209 + 8.96408i 0.121280 + 0.413043i
\(472\) −5.86336 + 10.7379i −0.269883 + 0.494254i
\(473\) −1.76985 + 0.660120i −0.0813778 + 0.0303523i
\(474\) 0.831286 + 5.78172i 0.0381822 + 0.265563i
\(475\) −15.3164 23.6360i −0.702767 1.08450i
\(476\) −9.99967 21.8962i −0.458334 1.00361i
\(477\) 12.4484 + 2.70799i 0.569975 + 0.123990i
\(478\) −4.91195 + 3.67704i −0.224667 + 0.168184i
\(479\) −15.8082 10.1593i −0.722296 0.464192i 0.127139 0.991885i \(-0.459421\pi\)
−0.849435 + 0.527693i \(0.823057\pi\)
\(480\) 1.58412 + 1.57815i 0.0723050 + 0.0720323i
\(481\) 0.932564 3.17602i 0.0425213 0.144814i
\(482\) −3.18989 3.18989i −0.145296 0.145296i
\(483\) −16.8914 + 7.04283i −0.768588 + 0.320460i
\(484\) 10.0527i 0.456940i
\(485\) −27.0506 + 12.4154i −1.22831 + 0.563755i
\(486\) −0.654861 + 0.755750i −0.0297051 + 0.0342815i
\(487\) −25.6323 + 5.57596i −1.16151 + 0.252671i −0.751703 0.659502i \(-0.770767\pi\)
−0.409806 + 0.912173i \(0.634404\pi\)
\(488\) 4.29964 + 5.74364i 0.194635 + 0.260003i
\(489\) −8.75849 13.6285i −0.396073 0.616301i
\(490\) 15.3940 + 6.99510i 0.695431 + 0.316007i
\(491\) 16.5050 + 19.0478i 0.744861 + 0.859615i 0.994060 0.108837i \(-0.0347127\pi\)
−0.249199 + 0.968452i \(0.580167\pi\)
\(492\) −4.74107 3.54912i −0.213744 0.160007i
\(493\) −7.13603 19.1324i −0.321390 0.861681i
\(494\) −2.09599 + 0.615438i −0.0943030 + 0.0276899i
\(495\) 0.466640 + 2.12577i 0.0209739 + 0.0955463i
\(496\) 0.0311208 0.0681450i 0.00139737 0.00305980i
\(497\) −9.29520 + 12.4169i −0.416947 + 0.556975i
\(498\) −3.56118 0.254701i −0.159580 0.0114134i
\(499\) 26.0877 11.9138i 1.16784 0.533336i 0.265398 0.964139i \(-0.414497\pi\)
0.902446 + 0.430803i \(0.141769\pi\)
\(500\) 10.4531 3.96643i 0.467477 0.177384i
\(501\) −1.86253 + 12.9542i −0.0832118 + 0.578751i
\(502\) −3.58045 16.4590i −0.159803 0.734603i
\(503\) −3.02376 42.2777i −0.134823 1.88507i −0.393814 0.919190i \(-0.628845\pi\)
0.258991 0.965880i \(-0.416610\pi\)
\(504\) 3.66142 + 1.07509i 0.163093 + 0.0478884i
\(505\) −1.69319 + 24.3194i −0.0753460 + 1.08220i
\(506\) −0.488151 + 4.64223i −0.0217010 + 0.206372i
\(507\) −9.08605 + 9.08605i −0.403525 + 0.403525i
\(508\) 0.372763 + 0.682665i 0.0165387 + 0.0302884i
\(509\) −8.01055 6.94118i −0.355061 0.307662i 0.459006 0.888433i \(-0.348206\pi\)
−0.814067 + 0.580771i \(0.802751\pi\)
\(510\) −13.9578 + 2.03375i −0.618064 + 0.0900561i
\(511\) 8.45735 + 1.21598i 0.374131 + 0.0537920i
\(512\) 0.212565 0.977147i 0.00939415 0.0431842i
\(513\) −5.27780 1.96852i −0.233021 0.0869122i
\(514\) 4.52431 3.92034i 0.199559 0.172919i
\(515\) −17.3017 + 20.0436i −0.762406 + 0.883229i
\(516\) 1.76537 + 0.806216i 0.0777160 + 0.0354917i
\(517\) −8.79418 4.80199i −0.386768 0.211191i
\(518\) −28.5874 15.6099i −1.25606 0.685860i
\(519\) −6.92126 3.16083i −0.303810 0.138745i
\(520\) −0.0634957 0.864825i −0.00278447 0.0379251i
\(521\) −19.8959 + 17.2399i −0.871654 + 0.755292i −0.970828 0.239778i \(-0.922925\pi\)
0.0991738 + 0.995070i \(0.468380\pi\)
\(522\) 3.03302 + 1.13126i 0.132752 + 0.0495138i
\(523\) 1.92103 8.83084i 0.0840008 0.386146i −0.915882 0.401447i \(-0.868507\pi\)
0.999883 + 0.0153018i \(0.00487091\pi\)
\(524\) −6.47140 0.930447i −0.282704 0.0406468i
\(525\) 12.4402 14.4668i 0.542934 0.631383i
\(526\) 5.26913 + 4.56573i 0.229745 + 0.199075i
\(527\) 0.226478 + 0.414763i 0.00986552 + 0.0180673i
\(528\) 0.688234 0.688234i 0.0299515 0.0299515i
\(529\) −4.78420 + 22.4969i −0.208009 + 0.978127i
\(530\) −28.4178 1.97853i −1.23439 0.0859419i
\(531\) 11.7389 + 3.44685i 0.509425 + 0.149581i
\(532\) 1.53346 + 21.4406i 0.0664840 + 0.929568i
\(533\) 0.488198 + 2.24421i 0.0211462 + 0.0972075i
\(534\) −0.180498 + 1.25539i −0.00781093 + 0.0543262i
\(535\) −10.7911 + 37.0096i −0.466540 + 1.60006i
\(536\) 4.27111 1.95055i 0.184484 0.0842509i
\(537\) −24.7365 1.76919i −1.06746 0.0763462i
\(538\) 6.48217 8.65917i 0.279466 0.373323i
\(539\) 3.05746 6.69491i 0.131694 0.288370i
\(540\) 1.20535 1.88338i 0.0518702 0.0810478i
\(541\) −20.1977 + 5.93057i −0.868366 + 0.254975i −0.685420 0.728148i \(-0.740381\pi\)
−0.182946 + 0.983123i \(0.558563\pi\)
\(542\) 6.19060 + 16.5976i 0.265909 + 0.712929i
\(543\) −19.0244 14.2415i −0.816415 0.611160i
\(544\) 4.13090 + 4.76731i 0.177111 + 0.204397i
\(545\) −25.5208 + 9.57372i −1.09319 + 0.410093i
\(546\) −0.800069 1.24493i −0.0342398 0.0532782i
\(547\) −0.812063 1.08479i −0.0347213 0.0463822i 0.782845 0.622217i \(-0.213768\pi\)
−0.817566 + 0.575835i \(0.804677\pi\)
\(548\) −6.04013 + 1.31395i −0.258021 + 0.0561291i
\(549\) 4.69843 5.42228i 0.200524 0.231417i
\(550\) −1.71790 4.55325i −0.0732514 0.194151i
\(551\) 18.2346i 0.776818i
\(552\) 3.72721 3.01793i 0.158641 0.128452i
\(553\) −15.7614 15.7614i −0.670241 0.670241i
\(554\) −1.95791 + 6.66801i −0.0831834 + 0.283297i
\(555\) −13.4704 + 13.5213i −0.571785 + 0.573949i
\(556\) −15.0434 9.66779i −0.637981 0.410006i
\(557\) −25.8650 + 19.3623i −1.09593 + 0.820406i −0.984851 0.173405i \(-0.944523\pi\)
−0.111084 + 0.993811i \(0.535432\pi\)
\(558\) −0.0732029 0.0159243i −0.00309893 0.000674130i
\(559\) −0.312653 0.684614i −0.0132238 0.0289561i
\(560\) −8.44826 1.19839i −0.357004 0.0506413i
\(561\) 0.873769 + 6.07719i 0.0368905 + 0.256579i
\(562\) −1.59553 + 0.595103i −0.0673035 + 0.0251029i
\(563\) −14.5654 + 26.6745i −0.613857 + 1.12420i 0.367139 + 0.930166i \(0.380337\pi\)
−0.980996 + 0.194029i \(0.937844\pi\)
\(564\) 2.90032 + 9.87758i 0.122125 + 0.415921i
\(565\) 28.8324 8.52514i 1.21299 0.358655i
\(566\) −26.1483 + 3.75956i −1.09910 + 0.158026i
\(567\) 0.272230 3.80628i 0.0114326 0.159849i
\(568\) 1.42045 3.80836i 0.0596006 0.159795i
\(569\) 23.9467 15.3896i 1.00390 0.645167i 0.0680917 0.997679i \(-0.478309\pi\)
0.935807 + 0.352512i \(0.114673\pi\)
\(570\) 12.3129 + 2.65415i 0.515729 + 0.111170i
\(571\) 3.09902 4.82216i 0.129690 0.201801i −0.770336 0.637639i \(-0.779911\pi\)
0.900025 + 0.435837i \(0.143548\pi\)
\(572\) −0.376490 + 0.0269271i −0.0157418 + 0.00112588i
\(573\) −5.04267 + 2.75351i −0.210661 + 0.115029i
\(574\) 22.5996 0.943290
\(575\) −6.07201 23.1976i −0.253220 0.967409i
\(576\) −1.00000 −0.0416667
\(577\) 9.65305 5.27096i 0.401862 0.219433i −0.265590 0.964086i \(-0.585567\pi\)
0.667452 + 0.744653i \(0.267385\pi\)
\(578\) −22.7335 + 1.62593i −0.945588 + 0.0676298i
\(579\) 2.45520 3.82037i 0.102035 0.158769i
\(580\) −7.07589 1.52527i −0.293810 0.0633335i
\(581\) 11.4614 7.36579i 0.475499 0.305584i
\(582\) 4.65163 12.4715i 0.192816 0.516960i
\(583\) −0.884574 + 12.3680i −0.0366353 + 0.512229i
\(584\) −2.21629 + 0.318654i −0.0917107 + 0.0131860i
\(585\) −0.831564 + 0.245876i −0.0343809 + 0.0101657i
\(586\) −3.74801 12.7646i −0.154829 0.527299i
\(587\) 23.0673 42.2446i 0.952090 1.74362i 0.374729 0.927134i \(-0.377736\pi\)
0.577361 0.816489i \(-0.304082\pi\)
\(588\) −7.08507 + 2.64259i −0.292183 + 0.108979i
\(589\) −0.0600559 0.417698i −0.00247456 0.0172109i
\(590\) −27.0860 3.84217i −1.11511 0.158179i
\(591\) 6.43955 + 14.1006i 0.264888 + 0.580023i
\(592\) 8.34048 + 1.81436i 0.342792 + 0.0745697i
\(593\) 17.5347 13.1263i 0.720062 0.539032i −0.175221 0.984529i \(-0.556064\pi\)
0.895283 + 0.445497i \(0.146973\pi\)
\(594\) −0.818800 0.526211i −0.0335958 0.0215907i
\(595\) 37.9885 38.1323i 1.55738 1.56327i
\(596\) −6.62207 + 22.5527i −0.271251 + 0.923795i
\(597\) −2.42308 2.42308i −0.0991702 0.0991702i
\(598\) −1.85880 0.0620502i −0.0760120 0.00253742i
\(599\) 3.34715i 0.136761i −0.997659 0.0683805i \(-0.978217\pi\)
0.997659 0.0683805i \(-0.0217832\pi\)
\(600\) −2.05988 + 4.55597i −0.0840942 + 0.185997i
\(601\) 12.4486 14.3665i 0.507790 0.586021i −0.442741 0.896649i \(-0.645994\pi\)
0.950531 + 0.310628i \(0.100539\pi\)
\(602\) −7.23665 + 1.57424i −0.294944 + 0.0641611i
\(603\) −2.81386 3.75888i −0.114589 0.153073i
\(604\) 4.05765 + 6.31383i 0.165103 + 0.256906i
\(605\) 21.0463 7.89518i 0.855654 0.320985i
\(606\) −7.13949 8.23941i −0.290022 0.334703i
\(607\) 17.6523 + 13.2144i 0.716486 + 0.536354i 0.894167 0.447734i \(-0.147769\pi\)
−0.177681 + 0.984088i \(0.556860\pi\)
\(608\) −1.96852 5.27780i −0.0798339 0.214043i
\(609\) −11.8525 + 3.48020i −0.480286 + 0.141025i
\(610\) −8.64805 + 13.5127i −0.350149 + 0.547113i
\(611\) 1.65845 3.63149i 0.0670936 0.146914i
\(612\) 3.78028 5.04986i 0.152809 0.204128i
\(613\) −45.3100 3.24063i −1.83005 0.130888i −0.886630 0.462479i \(-0.846960\pi\)
−0.943423 + 0.331591i \(0.892415\pi\)
\(614\) −0.374782 + 0.171157i −0.0151250 + 0.00690735i
\(615\) 3.70690 12.7133i 0.149477 0.512651i
\(616\) −0.528578 + 3.67634i −0.0212970 + 0.148124i
\(617\) −0.646927 2.97387i −0.0260443 0.119724i 0.962289 0.272028i \(-0.0876943\pi\)
−0.988334 + 0.152304i \(0.951331\pi\)
\(618\) −0.844758 11.8113i −0.0339812 0.475119i
\(619\) 44.5335 + 13.0762i 1.78995 + 0.525577i 0.996540 0.0831103i \(-0.0264854\pi\)
0.793410 + 0.608687i \(0.208304\pi\)
\(620\) 0.167110 + 0.0116347i 0.00671132 + 0.000467262i
\(621\) −3.74124 3.00053i −0.150131 0.120407i
\(622\) −12.5673 + 12.5673i −0.503903 + 0.503903i
\(623\) −2.31949 4.24783i −0.0929284 0.170186i
\(624\) 0.293081 + 0.253957i 0.0117326 + 0.0101664i
\(625\) 16.5138 + 18.7695i 0.660552 + 0.750780i
\(626\) 16.4564 + 2.36608i 0.657731 + 0.0945675i
\(627\) 1.16541 5.35732i 0.0465421 0.213951i
\(628\) 8.75347 + 3.26488i 0.349301 + 0.130283i
\(629\) −40.6916 + 35.2594i −1.62248 + 1.40589i
\(630\) 0.624801 + 8.50993i 0.0248927 + 0.339044i
\(631\) −38.8330 17.7344i −1.54592 0.705996i −0.553956 0.832546i \(-0.686882\pi\)
−0.991960 + 0.126550i \(0.959610\pi\)
\(632\) 5.12668 + 2.79938i 0.203928 + 0.111353i
\(633\) 0.917916 + 0.501220i 0.0364839 + 0.0199217i
\(634\) −23.9767 10.9498i −0.952235 0.434871i
\(635\) −1.13647 + 1.31657i −0.0450994 + 0.0522466i
\(636\) 9.62793 8.34265i 0.381772 0.330808i
\(637\) 2.74761 + 1.02480i 0.108864 + 0.0406042i
\(638\) −0.669733 + 3.07871i −0.0265150 + 0.121887i
\(639\) −4.02327 0.578459i −0.159158 0.0228835i
\(640\) 2.21270 0.322406i 0.0874648 0.0127442i
\(641\) −20.4667 17.7345i −0.808385 0.700470i 0.149141 0.988816i \(-0.452349\pi\)
−0.957526 + 0.288346i \(0.906895\pi\)
\(642\) −8.26245 15.1315i −0.326093 0.597194i
\(643\) −32.8220 + 32.8220i −1.29437 + 1.29437i −0.362316 + 0.932055i \(0.618014\pi\)
−0.932055 + 0.362316i \(0.881986\pi\)
\(644\) −4.48459 + 17.7429i −0.176718 + 0.699169i
\(645\) −0.301410 + 4.32917i −0.0118680 + 0.170461i
\(646\) 34.0937 + 10.0108i 1.34140 + 0.393870i
\(647\) −0.0598213 0.836411i −0.00235182 0.0328827i 0.996141 0.0877708i \(-0.0279743\pi\)
−0.998493 + 0.0548881i \(0.982520\pi\)
\(648\) 0.212565 + 0.977147i 0.00835035 + 0.0383860i
\(649\) −1.69467 + 11.7867i −0.0665218 + 0.462669i
\(650\) 1.76073 0.812152i 0.0690616 0.0318552i
\(651\) 0.260041 0.118757i 0.0101918 0.00465445i
\(652\) −16.1589 1.15571i −0.632832 0.0452611i
\(653\) 17.9671 24.0012i 0.703106 0.939239i −0.296771 0.954949i \(-0.595910\pi\)
0.999877 + 0.0157094i \(0.00500066\pi\)
\(654\) 5.06386 11.0883i 0.198013 0.433587i
\(655\) −3.13453 14.2793i −0.122476 0.557939i
\(656\) −5.68244 + 1.66851i −0.221862 + 0.0651445i
\(657\) 0.782478 + 2.09790i 0.0305274 + 0.0818470i
\(658\) −31.4486 23.5421i −1.22599 0.917766i
\(659\) −12.5771 14.5147i −0.489934 0.565414i 0.455914 0.890024i \(-0.349312\pi\)
−0.945848 + 0.324610i \(0.894767\pi\)
\(660\) 1.98141 + 0.900362i 0.0771265 + 0.0350465i
\(661\) −0.970932 1.51080i −0.0377649 0.0587633i 0.821858 0.569693i \(-0.192938\pi\)
−0.859623 + 0.510929i \(0.829301\pi\)
\(662\) −17.0555 22.7834i −0.662879 0.885503i
\(663\) −2.39037 + 0.519994i −0.0928344 + 0.0201949i
\(664\) −2.33804 + 2.69824i −0.0907334 + 0.104712i
\(665\) −43.6838 + 20.0495i −1.69398 + 0.777487i
\(666\) 8.53554i 0.330746i
\(667\) −4.86834 + 14.7416i −0.188503 + 0.570797i
\(668\) 9.25419 + 9.25419i 0.358056 + 0.358056i
\(669\) 4.09979 13.9626i 0.158507 0.539825i
\(670\) 7.43812 + 7.41008i 0.287360 + 0.286276i
\(671\) 5.87464 + 3.77540i 0.226788 + 0.145748i
\(672\) 3.05486 2.28684i 0.117844 0.0882169i
\(673\) −0.167349 0.0364046i −0.00645083 0.00140329i 0.209339 0.977843i \(-0.432869\pi\)
−0.215790 + 0.976440i \(0.569233\pi\)
\(674\) 11.5543 + 25.3004i 0.445056 + 0.974537i
\(675\) 4.88971 + 1.04436i 0.188205 + 0.0401975i
\(676\) 1.82869 + 12.7188i 0.0703342 + 0.489185i
\(677\) 47.6441 17.7703i 1.83111 0.682969i 0.841302 0.540566i \(-0.181790\pi\)
0.989809 0.142403i \(-0.0454830\pi\)
\(678\) −6.44401 + 11.8013i −0.247481 + 0.453227i
\(679\) 14.3103 + 48.7363i 0.549178 + 1.87033i
\(680\) −6.73652 + 12.3926i −0.258334 + 0.475235i
\(681\) 9.37005 1.34721i 0.359061 0.0516252i
\(682\) 0.00520173 0.0727296i 0.000199184 0.00278496i
\(683\) 6.01902 16.1376i 0.230311 0.617488i −0.769464 0.638690i \(-0.779477\pi\)
0.999775 + 0.0212019i \(0.00674929\pi\)
\(684\) −4.73875 + 3.04541i −0.181191 + 0.116444i
\(685\) −7.49469 11.6137i −0.286358 0.443736i
\(686\) 1.15914 1.80365i 0.0442561 0.0688638i
\(687\) 3.30993 0.236731i 0.126282 0.00903185i
\(688\) 1.70335 0.930102i 0.0649398 0.0354598i
\(689\) −4.94044 −0.188216
\(690\) 9.24563 + 5.43307i 0.351975 + 0.206834i
\(691\) 11.7454 0.446816 0.223408 0.974725i \(-0.428282\pi\)
0.223408 + 0.974725i \(0.428282\pi\)
\(692\) −6.67813 + 3.64654i −0.253865 + 0.138621i
\(693\) 3.70468 0.264964i 0.140729 0.0100652i
\(694\) −1.21978 + 1.89801i −0.0463021 + 0.0720474i
\(695\) 8.42573 39.0878i 0.319606 1.48268i
\(696\) 2.72324 1.75012i 0.103224 0.0663380i
\(697\) 13.0554 35.0029i 0.494509 1.32583i
\(698\) 0.468772 6.55430i 0.0177433 0.248084i
\(699\) −6.33644 + 0.911043i −0.239666 + 0.0344588i
\(700\) −4.12615 18.6285i −0.155954 0.704091i
\(701\) −1.57999 5.38096i −0.0596755 0.203236i 0.924259 0.381766i \(-0.124684\pi\)
−0.983934 + 0.178530i \(0.942866\pi\)
\(702\) 0.185854 0.340366i 0.00701460 0.0128463i
\(703\) 45.0489 16.8024i 1.69905 0.633713i
\(704\) −0.138516 0.963402i −0.00522053 0.0363096i
\(705\) −18.4019 + 13.8298i −0.693055 + 0.520860i
\(706\) −13.3060 29.1361i −0.500778 1.09655i
\(707\) 40.6524 + 8.84339i 1.52889 + 0.332590i
\(708\) 9.79420 7.33185i 0.368089 0.275548i
\(709\) −14.9460 9.60521i −0.561309 0.360731i 0.229013 0.973423i \(-0.426450\pi\)
−0.790322 + 0.612692i \(0.790087\pi\)
\(710\) 9.08880 0.0171685i 0.341097 0.000644321i
\(711\) 1.64565 5.60457i 0.0617167 0.210188i
\(712\) 0.896826 + 0.896826i 0.0336100 + 0.0336100i
\(713\) 0.0629671 0.353719i 0.00235814 0.0132469i
\(714\) 24.0715i 0.900854i
\(715\) −0.352063 0.767073i −0.0131664 0.0286869i
\(716\) −16.2403 + 18.7424i −0.606930 + 0.700435i
\(717\) 5.99556 1.30425i 0.223908 0.0487083i
\(718\) 13.9552 + 18.6420i 0.520803 + 0.695712i
\(719\) 5.39152 + 8.38937i 0.201070 + 0.312871i 0.927115 0.374776i \(-0.122280\pi\)
−0.726046 + 0.687646i \(0.758644\pi\)
\(720\) −0.785382 2.09360i −0.0292695 0.0780240i
\(721\) 29.5911 + 34.1500i 1.10203 + 1.27181i
\(722\) −10.1911 7.62895i −0.379273 0.283920i
\(723\) 1.57650 + 4.22676i 0.0586307 + 0.157195i
\(724\) −22.8018 + 6.69521i −0.847422 + 0.248825i
\(725\) −2.36396 16.0120i −0.0877952 0.594672i
\(726\) −4.17603 + 9.14423i −0.154987 + 0.339374i
\(727\) 6.63141 8.85852i 0.245945 0.328544i −0.660533 0.750797i \(-0.729670\pi\)
0.906478 + 0.422253i \(0.138761\pi\)
\(728\) −1.47608 0.105572i −0.0547073 0.00391274i
\(729\) 0.909632 0.415415i 0.0336901 0.0153857i
\(730\) −2.40777 4.38976i −0.0891155 0.162472i
\(731\) −1.74227 + 12.1177i −0.0644401 + 0.448191i
\(732\) −1.52509 7.01074i −0.0563690 0.259124i
\(733\) −3.71338 51.9199i −0.137157 1.91770i −0.343376 0.939198i \(-0.611570\pi\)
0.206219 0.978506i \(-0.433884\pi\)
\(734\) 24.7997 + 7.28186i 0.915375 + 0.268778i
\(735\) −11.0970 12.7579i −0.409320 0.470582i
\(736\) −0.182343 4.79236i −0.00672126 0.176649i
\(737\) 3.23155 3.23155i 0.119036 0.119036i
\(738\) 2.83827 + 5.19791i 0.104478 + 0.191338i
\(739\) 15.7237 + 13.6247i 0.578407 + 0.501193i 0.894219 0.447629i \(-0.147731\pi\)
−0.315812 + 0.948822i \(0.602277\pi\)
\(740\) 2.75191 + 18.8866i 0.101162 + 0.694286i
\(741\) 2.16224 + 0.310883i 0.0794319 + 0.0114206i
\(742\) −10.3337 + 47.5032i −0.379362 + 1.74390i
\(743\) 22.4603 + 8.37725i 0.823987 + 0.307331i 0.725860 0.687842i \(-0.241442\pi\)
0.0981273 + 0.995174i \(0.468715\pi\)
\(744\) −0.0566169 + 0.0490589i −0.00207568 + 0.00179859i
\(745\) −52.4173 + 3.84849i −1.92042 + 0.140998i
\(746\) −9.98465 4.55984i −0.365564 0.166948i
\(747\) 3.13356 + 1.71105i 0.114651 + 0.0626042i
\(748\) 5.38867 + 2.94244i 0.197029 + 0.107586i
\(749\) 59.8441 + 27.3299i 2.18666 + 0.998613i
\(750\) −11.1562 0.734387i −0.407367 0.0268160i
\(751\) −9.27102 + 8.03339i −0.338304 + 0.293142i −0.807399 0.590005i \(-0.799126\pi\)
0.469095 + 0.883148i \(0.344580\pi\)
\(752\) 9.64551 + 3.59759i 0.351735 + 0.131191i
\(753\) −3.58045 + 16.4590i −0.130479 + 0.599801i
\(754\) −1.24258 0.178657i −0.0452522 0.00650629i
\(755\) −10.0318 + 13.4539i −0.365096 + 0.489637i
\(756\) −2.88394 2.49895i −0.104888 0.0908859i
\(757\) −15.5440 28.4667i −0.564955 1.03464i −0.991492 0.130168i \(-0.958448\pi\)
0.426537 0.904470i \(-0.359734\pi\)
\(758\) −3.60036 + 3.60036i −0.130771 + 0.130771i
\(759\) 2.37249 4.01994i 0.0861160 0.145914i
\(760\) 9.50358 8.26638i 0.344731 0.299853i
\(761\) 14.7640 + 4.33509i 0.535193 + 0.157147i 0.538150 0.842849i \(-0.319123\pi\)
−0.00295758 + 0.999996i \(0.500941\pi\)
\(762\) −0.0554882 0.775826i −0.00201012 0.0281052i
\(763\) 9.88782 + 45.4536i 0.357963 + 1.64553i
\(764\) −0.817665 + 5.68698i −0.0295821 + 0.205748i
\(765\) 13.5414 + 3.94833i 0.489589 + 0.142752i
\(766\) 2.05074 0.936540i 0.0740961 0.0338386i
\(767\) −4.73247 0.338473i −0.170880 0.0122215i
\(768\) −0.599278 + 0.800541i −0.0216246 + 0.0288870i
\(769\) 17.8823 39.1569i 0.644854 1.41203i −0.251133 0.967953i \(-0.580803\pi\)
0.895987 0.444081i \(-0.146470\pi\)
\(770\) −8.11194 + 1.78070i −0.292334 + 0.0641719i
\(771\) −5.74403 + 1.68660i −0.206866 + 0.0607414i
\(772\) −1.58701 4.25495i −0.0571179 0.153139i
\(773\) 23.3442 + 17.4752i 0.839632 + 0.628541i 0.930079 0.367361i \(-0.119738\pi\)
−0.0904464 + 0.995901i \(0.528829\pi\)
\(774\) −1.27092 1.46672i −0.0456823 0.0527202i
\(775\) 0.106887 + 0.359001i 0.00383949 + 0.0128957i
\(776\) −7.19633 11.1977i −0.258333 0.401974i
\(777\) 19.5194 + 26.0749i 0.700256 + 0.935433i
\(778\) 26.7344 5.81571i 0.958475 0.208503i
\(779\) −21.8463 + 25.2120i −0.782726 + 0.903314i
\(780\) −0.301503 + 0.813049i −0.0107956 + 0.0291118i
\(781\) 3.95615i 0.141562i
\(782\) 24.8901 + 17.1957i 0.890067 + 0.614915i
\(783\) −2.28899 2.28899i −0.0818017 0.0818017i
\(784\) −2.13042 + 7.25554i −0.0760864 + 0.259126i
\(785\) 0.0394614 + 20.8905i 0.00140844 + 0.745613i
\(786\) 5.50007 + 3.53468i 0.196181 + 0.126078i
\(787\) 3.37974 2.53004i 0.120475 0.0901863i −0.537341 0.843365i \(-0.680571\pi\)
0.657816 + 0.753179i \(0.271480\pi\)
\(788\) 15.1472 + 3.29508i 0.539597 + 0.117382i
\(789\) −2.89630 6.34201i −0.103111 0.225781i
\(790\) −1.83439 + 12.9318i −0.0652646 + 0.460093i
\(791\) −7.30220 50.7879i −0.259636 1.80581i
\(792\) −0.911942 + 0.340137i −0.0324044 + 0.0120862i
\(793\) −1.33345 + 2.44202i −0.0473521 + 0.0867188i
\(794\) −0.670414 2.28322i −0.0237921 0.0810284i
\(795\) 25.0278 + 13.6049i 0.887645 + 0.482516i
\(796\) −3.39188 + 0.487678i −0.120222 + 0.0172853i
\(797\) −1.49961 + 20.9673i −0.0531189 + 0.742699i 0.899189 + 0.437561i \(0.144157\pi\)
−0.952308 + 0.305139i \(0.901297\pi\)
\(798\) 7.51186 20.1401i 0.265917 0.712951i
\(799\) −54.6300 + 35.1086i −1.93267 + 1.24205i
\(800\) 2.41281 + 4.37931i 0.0853056 + 0.154832i
\(801\) 0.685697 1.06696i 0.0242279 0.0376993i
\(802\) 21.9411 1.56926i 0.774767 0.0554124i
\(803\) −1.91274 + 1.04444i −0.0674991 + 0.0368573i
\(804\) −4.69542 −0.165595
\(805\) −40.6687 + 4.54600i −1.43338 + 0.160226i
\(806\) 0.0290522 0.00102332
\(807\) −9.49354 + 5.18386i −0.334188 + 0.182481i
\(808\) −10.8745 + 0.777761i −0.382564 + 0.0273615i
\(809\) −1.68679 + 2.62469i −0.0593043 + 0.0922792i −0.869639 0.493687i \(-0.835649\pi\)
0.810335 + 0.585967i \(0.199285\pi\)
\(810\) −1.87881 + 1.21246i −0.0660148 + 0.0426015i
\(811\) −6.91986 + 4.44713i −0.242989 + 0.156160i −0.656468 0.754354i \(-0.727950\pi\)
0.413478 + 0.910514i \(0.364314\pi\)
\(812\) −4.31687 + 11.5740i −0.151493 + 0.406167i
\(813\) 1.26374 17.6694i 0.0443213 0.619693i
\(814\) 8.22316 1.18231i 0.288222 0.0414400i
\(815\) −10.2713 34.7381i −0.359789 1.21682i
\(816\) −1.77718 6.05253i −0.0622139 0.211881i
\(817\) 5.23923 9.59493i 0.183297 0.335684i
\(818\) −26.4364 + 9.86028i −0.924329 + 0.344757i
\(819\) 0.210605 + 1.46479i 0.00735914 + 0.0511839i
\(820\) −7.95609 10.5864i −0.277839 0.369691i
\(821\) −5.88133 12.8783i −0.205260 0.449457i 0.778805 0.627266i \(-0.215826\pi\)
−0.984065 + 0.177810i \(0.943099\pi\)
\(822\) 6.04013 + 1.31395i 0.210674 + 0.0458292i
\(823\) −7.55612 + 5.65644i −0.263390 + 0.197171i −0.722808 0.691049i \(-0.757149\pi\)
0.459418 + 0.888220i \(0.348058\pi\)
\(824\) −9.96165 6.40196i −0.347031 0.223023i
\(825\) −0.328834 + 4.85542i −0.0114485 + 0.169044i
\(826\) −13.1532 + 44.7956i −0.457657 + 1.55864i
\(827\) 7.55843 + 7.55843i 0.262832 + 0.262832i 0.826204 0.563371i \(-0.190496\pi\)
−0.563371 + 0.826204i \(0.690496\pi\)
\(828\) −4.64408 + 1.19687i −0.161393 + 0.0415940i
\(829\) 6.96694i 0.241972i 0.992654 + 0.120986i \(0.0386056\pi\)
−0.992654 + 0.120986i \(0.961394\pi\)
\(830\) −7.48529 2.77577i −0.259818 0.0963485i
\(831\) 4.55097 5.25210i 0.157871 0.182193i
\(832\) 0.378940 0.0824333i 0.0131374 0.00285786i
\(833\) −28.5859 38.1862i −0.990442 1.32308i
\(834\) 9.66779 + 15.0434i 0.334768 + 0.520910i
\(835\) −12.1065 + 26.6427i −0.418964 + 0.922008i
\(836\) −3.59035 4.14348i −0.124175 0.143305i
\(837\) 0.0599725 + 0.0448949i 0.00207295 + 0.00155179i
\(838\) 5.08395 + 13.6306i 0.175622 + 0.470861i
\(839\) −15.2990 + 4.49220i −0.528181 + 0.155088i −0.534941 0.844889i \(-0.679666\pi\)
0.00676027 + 0.999977i \(0.497848\pi\)
\(840\) 7.18698 + 4.59963i 0.247974 + 0.158702i
\(841\) 7.69393 16.8474i 0.265308 0.580943i
\(842\) −8.59280 + 11.4786i −0.296128 + 0.395580i
\(843\) 1.69856 + 0.121484i 0.0585016 + 0.00418412i
\(844\) 0.951334 0.434460i 0.0327463 0.0149547i
\(845\) −25.1919 + 13.8177i −0.866629 + 0.475343i
\(846\) 1.46507 10.1898i 0.0503702 0.350332i
\(847\) −8.15421 37.4843i −0.280182 1.28798i
\(848\) −0.908831 12.7071i −0.0312094 0.436364i
\(849\) 25.3471 + 7.44258i 0.869911 + 0.255429i
\(850\) −31.2360 4.37067i −1.07138 0.149913i
\(851\) 40.9054 1.55640i 1.40222 0.0533526i
\(852\) −2.87414 + 2.87414i −0.0984663 + 0.0984663i
\(853\) −24.0316 44.0105i −0.822825 1.50689i −0.861568 0.507643i \(-0.830517\pi\)
0.0387424 0.999249i \(-0.487665\pi\)
\(854\) 20.6914 + 17.9292i 0.708045 + 0.613525i
\(855\) −10.0976 7.52925i −0.345331 0.257495i
\(856\) −17.0649 2.45357i −0.583267 0.0838612i
\(857\) −2.98149 + 13.7057i −0.101846 + 0.468177i 0.897770 + 0.440464i \(0.145186\pi\)
−0.999616 + 0.0277129i \(0.991178\pi\)
\(858\) 0.353653 + 0.131906i 0.0120735 + 0.00450319i
\(859\) 43.1394 37.3805i 1.47190 1.27541i 0.587032 0.809564i \(-0.300296\pi\)
0.884867 0.465844i \(-0.154249\pi\)
\(860\) 3.28505 + 2.83566i 0.112019 + 0.0966953i
\(861\) −20.5573 9.38822i −0.700592 0.319950i
\(862\) 6.60367 + 3.60588i 0.224922 + 0.122817i
\(863\) 11.6782 + 6.37680i 0.397532 + 0.217069i 0.665563 0.746341i \(-0.268191\pi\)
−0.268032 + 0.963410i \(0.586373\pi\)
\(864\) 0.909632 + 0.415415i 0.0309463 + 0.0141327i
\(865\) −12.8793 11.1174i −0.437909 0.378004i
\(866\) 3.74855 3.24813i 0.127381 0.110376i
\(867\) 21.3545 + 7.96483i 0.725238 + 0.270500i
\(868\) 0.0607672 0.279342i 0.00206257 0.00948149i
\(869\) 5.62740 + 0.809099i 0.190897 + 0.0274468i
\(870\) 5.80283 + 4.32687i 0.196734 + 0.146695i
\(871\) 1.37614 + 1.19243i 0.0466288 + 0.0404040i
\(872\) −5.84199 10.6988i −0.197835 0.362307i
\(873\) −9.41212 + 9.41212i −0.318552 + 0.318552i
\(874\) −15.4588 22.1545i −0.522901 0.749387i
\(875\) 35.7601 23.2690i 1.20891 0.786636i
\(876\) 2.14838 + 0.630821i 0.0725871 + 0.0213135i
\(877\) −2.27384 31.7925i −0.0767823 1.07356i −0.879093 0.476650i \(-0.841851\pi\)
0.802311 0.596907i \(-0.203604\pi\)
\(878\) −4.40832 20.2647i −0.148774 0.683901i
\(879\) −1.89328 + 13.1680i −0.0638587 + 0.444147i
\(880\) 1.90819 1.04664i 0.0643252 0.0352821i
\(881\) −5.17683 + 2.36418i −0.174412 + 0.0796513i −0.500708 0.865617i \(-0.666927\pi\)
0.326296 + 0.945268i \(0.394200\pi\)
\(882\) 7.54258 + 0.539456i 0.253972 + 0.0181644i
\(883\) −6.35988 + 8.49580i −0.214027 + 0.285907i −0.894688 0.446692i \(-0.852602\pi\)
0.680661 + 0.732599i \(0.261693\pi\)
\(884\) −1.01622 + 2.22521i −0.0341792 + 0.0748420i
\(885\) 23.0422 + 14.7469i 0.774554 + 0.495711i
\(886\) −24.2183 + 7.11114i −0.813631 + 0.238904i
\(887\) −12.7143 34.0884i −0.426905 1.14458i −0.955315 0.295588i \(-0.904484\pi\)
0.528410 0.848989i \(-0.322788\pi\)
\(888\) −6.83305 5.11516i −0.229302 0.171654i
\(889\) 1.94370 + 2.24315i 0.0651896 + 0.0752328i
\(890\) −1.17325 + 2.58195i −0.0393273 + 0.0865471i
\(891\) 0.526211 + 0.818800i 0.0176287 + 0.0274308i
\(892\) −8.72072 11.6495i −0.291991 0.390055i
\(893\) 56.6637 12.3264i 1.89618 0.412489i
\(894\) 15.3924 17.7638i 0.514798 0.594109i
\(895\) −51.9939 19.2809i −1.73797 0.644491i
\(896\) 3.81600i 0.127484i
\(897\) 1.66505 + 0.828616i 0.0555943 + 0.0276667i
\(898\) −13.2451 13.2451i −0.441996 0.441996i
\(899\) 0.0683225 0.232685i 0.00227868 0.00776049i
\(900\) 3.76635 3.28856i 0.125545 0.109619i
\(901\) 67.6048 + 43.4470i 2.25224 + 1.44743i
\(902\) −4.61453 + 3.45439i −0.153647 + 0.115019i
\(903\) 7.23665 + 1.57424i 0.240821 + 0.0523873i
\(904\) 5.58570 + 12.2310i 0.185778 + 0.406796i
\(905\) −31.9252 42.4796i −1.06123 1.41207i
\(906\) −1.06811 7.42887i −0.0354856 0.246808i
\(907\) 43.9215 16.3819i 1.45839 0.543951i 0.509753 0.860321i \(-0.329737\pi\)
0.948636 + 0.316370i \(0.102464\pi\)
\(908\) 4.53676 8.30846i 0.150558 0.275726i
\(909\) 3.07153 + 10.4607i 0.101876 + 0.346959i
\(910\) −0.938264 3.17325i −0.0311031 0.105192i
\(911\) 32.6492 4.69424i 1.08172 0.155527i 0.421667 0.906751i \(-0.361445\pi\)
0.660048 + 0.751223i \(0.270536\pi\)
\(912\) −0.401851 + 5.61861i −0.0133066 + 0.186051i
\(913\) −1.21438 + 3.25589i −0.0401902 + 0.107754i
\(914\) −24.8927 + 15.9976i −0.823379 + 0.529153i
\(915\) 13.4799 8.69904i 0.445632 0.287581i
\(916\) 1.79406 2.79161i 0.0592773 0.0922372i
\(917\) −24.8852 + 1.77983i −0.821783 + 0.0587751i
\(918\) −5.53645 + 3.02313i −0.182730 + 0.0997781i
\(919\) 25.1454 0.829469 0.414735 0.909942i \(-0.363874\pi\)
0.414735 + 0.909942i \(0.363874\pi\)
\(920\) 9.89010 4.14559i 0.326067 0.136676i
\(921\) 0.412015 0.0135764
\(922\) −35.7965 + 19.5464i −1.17889 + 0.643725i
\(923\) 1.57226 0.112450i 0.0517516 0.00370135i
\(924\) 2.00802 3.12454i 0.0660590 0.102790i
\(925\) −37.3798 + 20.5946i −1.22904 + 0.677147i
\(926\) 17.3479 11.1488i 0.570086 0.366372i
\(927\) −4.13816 + 11.0948i −0.135915 + 0.364402i
\(928\) 0.230933 3.22887i 0.00758076 0.105993i
\(929\) −25.5589 + 3.67481i −0.838560 + 0.120567i −0.548196 0.836350i \(-0.684685\pi\)
−0.290363 + 0.956916i \(0.593776\pi\)
\(930\) −0.147176 0.0800035i −0.00482608 0.00262342i
\(931\) 12.0006 + 40.8702i 0.393303 + 1.33947i
\(932\) −3.06796 + 5.61855i −0.100494 + 0.184042i
\(933\) 16.6523 6.21097i 0.545170 0.203338i
\(934\) −4.24008 29.4904i −0.138740 0.964955i
\(935\) −1.92813 + 13.5927i −0.0630567 + 0.444528i
\(936\) −0.161099 0.352757i −0.00526568 0.0115302i
\(937\) −48.3044 10.5080i −1.57804 0.343281i −0.663625 0.748065i \(-0.730983\pi\)
−0.914412 + 0.404784i \(0.867347\pi\)
\(938\) 14.3439 10.7377i 0.468344 0.350598i
\(939\) −13.9864 8.98851i −0.456429 0.293329i
\(940\) 0.0434828 + 23.0193i 0.00141825 + 0.750808i
\(941\) 1.70148 5.79470i 0.0554666 0.188902i −0.927100 0.374815i \(-0.877706\pi\)
0.982566 + 0.185913i \(0.0595244\pi\)
\(942\) −6.60616 6.60616i −0.215240 0.215240i
\(943\) −24.3927 + 14.5498i −0.794337 + 0.473808i
\(944\) 12.2345i 0.398198i
\(945\) 2.96681 8.00045i 0.0965104 0.260255i
\(946\) 1.23700 1.42757i 0.0402183 0.0464144i
\(947\) −6.72134 + 1.46214i −0.218414 + 0.0475131i −0.320441 0.947269i \(-0.603831\pi\)
0.102026 + 0.994782i \(0.467467\pi\)
\(948\) −3.50049 4.67610i −0.113691 0.151873i
\(949\) −0.469449 0.730477i −0.0152390 0.0237123i
\(950\) 24.7705 + 13.4045i 0.803660 + 0.434898i
\(951\) 17.2612 + 19.9205i 0.559734 + 0.645967i
\(952\) 19.2702 + 14.4255i 0.624552 + 0.467534i
\(953\) −4.74384 12.7187i −0.153668 0.412000i 0.837189 0.546913i \(-0.184197\pi\)
−0.990857 + 0.134913i \(0.956925\pi\)
\(954\) −12.2235 + 3.58915i −0.395752 + 0.116203i
\(955\) −12.5485 + 2.75459i −0.406059 + 0.0891363i
\(956\) 2.54890 5.58130i 0.0824372 0.180512i
\(957\) 1.88815 2.52228i 0.0610353 0.0815337i
\(958\) 18.7434 + 1.34055i 0.605572 + 0.0433113i
\(959\) −21.4566 + 9.79888i −0.692869 + 0.316422i
\(960\) −2.14668 0.625919i −0.0692837 0.0202015i
\(961\) 4.41096 30.6789i 0.142289 0.989642i
\(962\) 0.703613 + 3.23446i 0.0226854 + 0.104283i
\(963\) 1.22992 + 17.1965i 0.0396335 + 0.554149i
\(964\) 4.32846 + 1.27095i 0.139410 + 0.0409345i
\(965\) 7.66177 6.66434i 0.246641 0.214533i
\(966\) 11.4500 14.2766i 0.368398 0.459341i
\(967\) −19.4225 + 19.4225i −0.624585 + 0.624585i −0.946701 0.322115i \(-0.895606\pi\)
0.322115 + 0.946701i \(0.395606\pi\)
\(968\) 4.81773 + 8.82302i 0.154848 + 0.283582i
\(969\) −26.8541 23.2692i −0.862677 0.747514i
\(970\) 17.7917 23.8607i 0.571257 0.766122i
\(971\) 31.7495 + 4.56488i 1.01889 + 0.146494i 0.631462 0.775407i \(-0.282455\pi\)
0.387426 + 0.921901i \(0.373364\pi\)
\(972\) 0.212565 0.977147i 0.00681803 0.0313420i
\(973\) −63.9356 23.8468i −2.04968 0.764492i
\(974\) 19.8246 17.1782i 0.635223 0.550423i
\(975\) −1.93900 + 0.00732544i −0.0620976 + 0.000234602i
\(976\) −6.52634 2.98048i −0.208903 0.0954028i
\(977\) 20.7390 + 11.3243i 0.663499 + 0.362298i 0.775444 0.631417i \(-0.217526\pi\)
−0.111945 + 0.993714i \(0.535708\pi\)
\(978\) 14.2186 + 7.76393i 0.454660 + 0.248263i
\(979\) 1.12290 + 0.512810i 0.0358879 + 0.0163895i
\(980\) −16.8634 + 1.23812i −0.538682 + 0.0395502i
\(981\) −9.21251 + 7.98268i −0.294133 + 0.254867i
\(982\) −23.6147 8.80784i −0.753577 0.281070i
\(983\) −7.47253 + 34.3507i −0.238337 + 1.09562i 0.689981 + 0.723828i \(0.257619\pi\)
−0.928318 + 0.371788i \(0.878745\pi\)
\(984\) 5.86205 + 0.842836i 0.186875 + 0.0268686i
\(985\) 4.99777 + 34.3002i 0.159242 + 1.09289i
\(986\) 15.4323 + 13.3722i 0.491466 + 0.425857i
\(987\) 18.8269 + 34.4788i 0.599266 + 1.09747i
\(988\) 1.54466 1.54466i 0.0491421 0.0491421i
\(989\) 6.79731 6.35816i 0.216142 0.202178i
\(990\) −1.42833 1.64211i −0.0453954 0.0521896i
\(991\) 11.0720 + 3.25103i 0.351714 + 0.103272i 0.452817 0.891603i \(-0.350419\pi\)
−0.101103 + 0.994876i \(0.532237\pi\)
\(992\) 0.00534437 + 0.0747241i 0.000169684 + 0.00237249i
\(993\) 6.04961 + 27.8096i 0.191979 + 0.882512i
\(994\) 2.20740 15.3528i 0.0700144 0.486961i
\(995\) −3.68492 6.71823i −0.116820 0.212982i
\(996\) 3.24764 1.48315i 0.102905 0.0469953i
\(997\) 41.0218 + 2.93394i 1.29917 + 0.0929187i 0.703723 0.710474i \(-0.251519\pi\)
0.595449 + 0.803393i \(0.296974\pi\)
\(998\) −17.1869 + 22.9590i −0.544042 + 0.726755i
\(999\) −3.54579 + 7.76420i −0.112184 + 0.245649i
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 690.2.w.b.373.6 yes 240
5.2 odd 4 inner 690.2.w.b.97.6 yes 240
23.14 odd 22 inner 690.2.w.b.313.6 yes 240
115.37 even 44 inner 690.2.w.b.37.6 240
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
690.2.w.b.37.6 240 115.37 even 44 inner
690.2.w.b.97.6 yes 240 5.2 odd 4 inner
690.2.w.b.313.6 yes 240 23.14 odd 22 inner
690.2.w.b.373.6 yes 240 1.1 even 1 trivial