Properties

Label 170.2.r.a.37.3
Level $170$
Weight $2$
Character 170.37
Analytic conductor $1.357$
Analytic rank $0$
Dimension $32$
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] = [170,2,Mod(23,170)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(170, base_ring=CyclotomicField(16))
 
chi = DirichletCharacter(H, H._module([12, 15]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("170.23");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 170 = 2 \cdot 5 \cdot 17 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 170.r (of order \(16\), degree \(8\), 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: \(1.35745683436\)
Analytic rank: \(0\)
Dimension: \(32\)
Relative dimension: \(4\) over \(\Q(\zeta_{16})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{16}]$

Embedding invariants

Embedding label 37.3
Character \(\chi\) \(=\) 170.37
Dual form 170.2.r.a.23.3

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-0.923880 - 0.382683i) q^{2} +(-0.283864 + 0.189672i) q^{3} +(0.707107 + 0.707107i) q^{4} +(-1.91626 + 1.15236i) q^{5} +(0.334840 - 0.0666039i) q^{6} +(3.52423 - 0.701012i) q^{7} +(-0.382683 - 0.923880i) q^{8} +(-1.10345 + 2.66396i) q^{9} +O(q^{10})\) \(q+(-0.923880 - 0.382683i) q^{2} +(-0.283864 + 0.189672i) q^{3} +(0.707107 + 0.707107i) q^{4} +(-1.91626 + 1.15236i) q^{5} +(0.334840 - 0.0666039i) q^{6} +(3.52423 - 0.701012i) q^{7} +(-0.382683 - 0.923880i) q^{8} +(-1.10345 + 2.66396i) q^{9} +(2.21139 - 0.331322i) q^{10} +(0.940564 + 4.72854i) q^{11} +(-0.334840 - 0.0666039i) q^{12} +1.94218 q^{13} +(-3.52423 - 0.701012i) q^{14} +(0.325387 - 0.690575i) q^{15} +1.00000i q^{16} +(3.64211 + 1.93263i) q^{17} +(2.03890 - 2.03890i) q^{18} +(-0.750101 - 1.81090i) q^{19} +(-2.16985 - 0.540159i) q^{20} +(-0.867439 + 0.867439i) q^{21} +(0.940564 - 4.72854i) q^{22} +(-0.870739 + 1.30315i) q^{23} +(0.283864 + 0.189672i) q^{24} +(2.34412 - 4.41646i) q^{25} +(-1.79434 - 0.743239i) q^{26} +(-0.391860 - 1.97002i) q^{27} +(2.98770 + 1.99631i) q^{28} +(-1.38219 - 2.06859i) q^{29} +(-0.564890 + 0.513488i) q^{30} +(-1.47888 + 7.43482i) q^{31} +(0.382683 - 0.923880i) q^{32} +(-1.16386 - 1.16386i) q^{33} +(-2.62528 - 3.17929i) q^{34} +(-5.94552 + 5.40451i) q^{35} +(-2.66396 + 1.10345i) q^{36} +(-6.22802 - 9.32090i) q^{37} +1.96011i q^{38} +(-0.551314 + 0.368376i) q^{39} +(1.79797 + 1.32941i) q^{40} +(2.81015 - 4.20569i) q^{41} +(1.13336 - 0.469455i) q^{42} +(-4.60809 + 1.90873i) q^{43} +(-2.67850 + 4.00866i) q^{44} +(-0.955348 - 6.37641i) q^{45} +(1.30315 - 0.870739i) q^{46} -5.22662i q^{47} +(-0.189672 - 0.283864i) q^{48} +(5.46160 - 2.26227i) q^{49} +(-3.85579 + 3.18322i) q^{50} +(-1.40043 + 0.142200i) q^{51} +(1.37333 + 1.37333i) q^{52} +(2.69959 - 6.51739i) q^{53} +(-0.391860 + 1.97002i) q^{54} +(-7.25135 - 7.97725i) q^{55} +(-1.99631 - 2.98770i) q^{56} +(0.556404 + 0.371777i) q^{57} +(0.485359 + 2.44007i) q^{58} +(-0.333812 - 0.138269i) q^{59} +(0.718394 - 0.258227i) q^{60} +(4.07844 + 2.72513i) q^{61} +(4.21149 - 6.30293i) q^{62} +(-2.02133 + 10.1619i) q^{63} +(-0.707107 + 0.707107i) q^{64} +(-3.72172 + 2.23809i) q^{65} +(0.629878 + 1.52066i) q^{66} +(-8.03403 + 8.03403i) q^{67} +(1.20878 + 3.94193i) q^{68} -0.535073i q^{69} +(7.56116 - 2.71786i) q^{70} +(7.79122 + 1.54977i) q^{71} +2.88345 q^{72} +(16.0658 + 3.19568i) q^{73} +(2.18699 + 10.9947i) q^{74} +(0.172265 + 1.69829i) q^{75} +(0.750101 - 1.81090i) q^{76} +(6.62953 + 16.0051i) q^{77} +(0.650319 - 0.129356i) q^{78} +(16.8162 - 3.34495i) q^{79} +(-1.15236 - 1.91626i) q^{80} +(-5.63182 - 5.63182i) q^{81} +(-4.20569 + 2.81015i) q^{82} +(-2.74602 - 1.13744i) q^{83} -1.22674 q^{84} +(-9.20632 + 0.493593i) q^{85} +4.98776 q^{86} +(0.784706 + 0.325036i) q^{87} +(4.00866 - 2.67850i) q^{88} +(-9.67438 - 9.67438i) q^{89} +(-1.55752 + 6.25663i) q^{90} +(6.84467 - 1.36149i) q^{91} +(-1.53717 + 0.305763i) q^{92} +(-0.990375 - 2.39098i) q^{93} +(-2.00014 + 4.82876i) q^{94} +(3.52421 + 2.60578i) q^{95} +(0.0666039 + 0.334840i) q^{96} +(6.26366 + 1.24592i) q^{97} -5.91160 q^{98} +(-13.6345 - 2.71207i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 32 q+O(q^{10}) \) Copy content Toggle raw display \( 32 q - 8 q^{10} - 48 q^{15} + 16 q^{18} - 24 q^{25} + 8 q^{26} + 24 q^{27} - 8 q^{28} - 8 q^{29} - 16 q^{30} - 16 q^{31} + 64 q^{33} + 24 q^{34} + 32 q^{35} - 32 q^{37} - 32 q^{39} + 16 q^{41} - 24 q^{42} - 16 q^{43} - 16 q^{44} - 24 q^{45} - 16 q^{49} - 32 q^{50} + 32 q^{51} - 16 q^{52} + 16 q^{53} + 24 q^{54} - 8 q^{55} + 8 q^{56} - 24 q^{57} - 16 q^{58} - 64 q^{59} + 40 q^{60} - 24 q^{61} - 40 q^{62} - 24 q^{63} + 32 q^{65} + 16 q^{67} + 40 q^{70} + 8 q^{71} - 16 q^{72} + 32 q^{73} + 8 q^{74} - 56 q^{75} + 24 q^{77} + 32 q^{78} + 72 q^{79} + 8 q^{80} + 48 q^{81} + 48 q^{82} + 16 q^{83} + 8 q^{85} - 64 q^{86} + 40 q^{87} + 32 q^{88} + 16 q^{89} + 24 q^{90} + 48 q^{91} + 24 q^{92} - 8 q^{93} + 8 q^{94} + 56 q^{95} - 48 q^{97} - 64 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/170\mathbb{Z}\right)^\times\).

\(n\) \(71\) \(137\)
\(\chi(n)\) \(e\left(\frac{1}{16}\right)\) \(e\left(\frac{1}{4}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.923880 0.382683i −0.653281 0.270598i
\(3\) −0.283864 + 0.189672i −0.163889 + 0.109507i −0.634810 0.772668i \(-0.718922\pi\)
0.470921 + 0.882175i \(0.343922\pi\)
\(4\) 0.707107 + 0.707107i 0.353553 + 0.353553i
\(5\) −1.91626 + 1.15236i −0.856979 + 0.515352i
\(6\) 0.334840 0.0666039i 0.136698 0.0271909i
\(7\) 3.52423 0.701012i 1.33203 0.264958i 0.522805 0.852453i \(-0.324886\pi\)
0.809228 + 0.587495i \(0.199886\pi\)
\(8\) −0.382683 0.923880i −0.135299 0.326641i
\(9\) −1.10345 + 2.66396i −0.367816 + 0.887986i
\(10\) 2.21139 0.331322i 0.699302 0.104773i
\(11\) 0.940564 + 4.72854i 0.283591 + 1.42571i 0.815427 + 0.578860i \(0.196502\pi\)
−0.531836 + 0.846847i \(0.678498\pi\)
\(12\) −0.334840 0.0666039i −0.0966601 0.0192269i
\(13\) 1.94218 0.538663 0.269331 0.963048i \(-0.413197\pi\)
0.269331 + 0.963048i \(0.413197\pi\)
\(14\) −3.52423 0.701012i −0.941889 0.187353i
\(15\) 0.325387 0.690575i 0.0840146 0.178306i
\(16\) 1.00000i 0.250000i
\(17\) 3.64211 + 1.93263i 0.883340 + 0.468732i
\(18\) 2.03890 2.03890i 0.480574 0.480574i
\(19\) −0.750101 1.81090i −0.172085 0.415450i 0.814182 0.580610i \(-0.197186\pi\)
−0.986267 + 0.165160i \(0.947186\pi\)
\(20\) −2.16985 0.540159i −0.485192 0.120783i
\(21\) −0.867439 + 0.867439i −0.189291 + 0.189291i
\(22\) 0.940564 4.72854i 0.200529 1.00813i
\(23\) −0.870739 + 1.30315i −0.181562 + 0.271726i −0.911075 0.412240i \(-0.864746\pi\)
0.729514 + 0.683966i \(0.239746\pi\)
\(24\) 0.283864 + 0.189672i 0.0579435 + 0.0387166i
\(25\) 2.34412 4.41646i 0.468825 0.883291i
\(26\) −1.79434 0.743239i −0.351898 0.145761i
\(27\) −0.391860 1.97002i −0.0754136 0.379130i
\(28\) 2.98770 + 1.99631i 0.564621 + 0.377268i
\(29\) −1.38219 2.06859i −0.256666 0.384127i 0.680650 0.732609i \(-0.261697\pi\)
−0.937316 + 0.348481i \(0.886697\pi\)
\(30\) −0.564890 + 0.513488i −0.103134 + 0.0937496i
\(31\) −1.47888 + 7.43482i −0.265614 + 1.33533i 0.585637 + 0.810574i \(0.300845\pi\)
−0.851251 + 0.524759i \(0.824155\pi\)
\(32\) 0.382683 0.923880i 0.0676495 0.163320i
\(33\) −1.16386 1.16386i −0.202602 0.202602i
\(34\) −2.62528 3.17929i −0.450232 0.545244i
\(35\) −5.94552 + 5.40451i −1.00498 + 0.913529i
\(36\) −2.66396 + 1.10345i −0.443993 + 0.183908i
\(37\) −6.22802 9.32090i −1.02388 1.53235i −0.834928 0.550360i \(-0.814491\pi\)
−0.188953 0.981986i \(-0.560509\pi\)
\(38\) 1.96011i 0.317972i
\(39\) −0.551314 + 0.368376i −0.0882809 + 0.0589874i
\(40\) 1.79797 + 1.32941i 0.284283 + 0.210198i
\(41\) 2.81015 4.20569i 0.438872 0.656819i −0.544428 0.838807i \(-0.683253\pi\)
0.983301 + 0.181989i \(0.0582534\pi\)
\(42\) 1.13336 0.469455i 0.174882 0.0724384i
\(43\) −4.60809 + 1.90873i −0.702728 + 0.291079i −0.705292 0.708917i \(-0.749184\pi\)
0.00256390 + 0.999997i \(0.499184\pi\)
\(44\) −2.67850 + 4.00866i −0.403799 + 0.604328i
\(45\) −0.955348 6.37641i −0.142415 0.950539i
\(46\) 1.30315 0.870739i 0.192139 0.128383i
\(47\) 5.22662i 0.762380i −0.924497 0.381190i \(-0.875514\pi\)
0.924497 0.381190i \(-0.124486\pi\)
\(48\) −0.189672 0.283864i −0.0273768 0.0409722i
\(49\) 5.46160 2.26227i 0.780229 0.323181i
\(50\) −3.85579 + 3.18322i −0.545291 + 0.450175i
\(51\) −1.40043 + 0.142200i −0.196099 + 0.0199120i
\(52\) 1.37333 + 1.37333i 0.190446 + 0.190446i
\(53\) 2.69959 6.51739i 0.370817 0.895232i −0.622795 0.782385i \(-0.714003\pi\)
0.993612 0.112847i \(-0.0359970\pi\)
\(54\) −0.391860 + 1.97002i −0.0533254 + 0.268085i
\(55\) −7.25135 7.97725i −0.977772 1.07565i
\(56\) −1.99631 2.98770i −0.266769 0.399248i
\(57\) 0.556404 + 0.371777i 0.0736975 + 0.0492431i
\(58\) 0.485359 + 2.44007i 0.0637308 + 0.320396i
\(59\) −0.333812 0.138269i −0.0434586 0.0180011i 0.360848 0.932625i \(-0.382487\pi\)
−0.404307 + 0.914623i \(0.632487\pi\)
\(60\) 0.718394 0.258227i 0.0927443 0.0333369i
\(61\) 4.07844 + 2.72513i 0.522191 + 0.348917i 0.788564 0.614953i \(-0.210825\pi\)
−0.266373 + 0.963870i \(0.585825\pi\)
\(62\) 4.21149 6.30293i 0.534859 0.800473i
\(63\) −2.02133 + 10.1619i −0.254664 + 1.28028i
\(64\) −0.707107 + 0.707107i −0.0883883 + 0.0883883i
\(65\) −3.72172 + 2.23809i −0.461622 + 0.277601i
\(66\) 0.629878 + 1.52066i 0.0775326 + 0.187180i
\(67\) −8.03403 + 8.03403i −0.981513 + 0.981513i −0.999832 0.0183194i \(-0.994168\pi\)
0.0183194 + 0.999832i \(0.494168\pi\)
\(68\) 1.20878 + 3.94193i 0.146586 + 0.478030i
\(69\) 0.535073i 0.0644152i
\(70\) 7.56116 2.71786i 0.903732 0.324847i
\(71\) 7.79122 + 1.54977i 0.924648 + 0.183924i 0.634380 0.773022i \(-0.281256\pi\)
0.290268 + 0.956945i \(0.406256\pi\)
\(72\) 2.88345 0.339817
\(73\) 16.0658 + 3.19568i 1.88036 + 0.374026i 0.995733 0.0922798i \(-0.0294154\pi\)
0.884624 + 0.466306i \(0.154415\pi\)
\(74\) 2.18699 + 10.9947i 0.254233 + 1.27811i
\(75\) 0.172265 + 1.69829i 0.0198914 + 0.196101i
\(76\) 0.750101 1.81090i 0.0860425 0.207725i
\(77\) 6.62953 + 16.0051i 0.755505 + 1.82395i
\(78\) 0.650319 0.129356i 0.0736341 0.0146467i
\(79\) 16.8162 3.34495i 1.89197 0.376336i 0.894476 0.447116i \(-0.147549\pi\)
0.997492 + 0.0707807i \(0.0225490\pi\)
\(80\) −1.15236 1.91626i −0.128838 0.214245i
\(81\) −5.63182 5.63182i −0.625758 0.625758i
\(82\) −4.20569 + 2.81015i −0.464441 + 0.310329i
\(83\) −2.74602 1.13744i −0.301415 0.124850i 0.226850 0.973930i \(-0.427157\pi\)
−0.528265 + 0.849080i \(0.677157\pi\)
\(84\) −1.22674 −0.133849
\(85\) −9.20632 + 0.493593i −0.998566 + 0.0535377i
\(86\) 4.98776 0.537844
\(87\) 0.784706 + 0.325036i 0.0841293 + 0.0348475i
\(88\) 4.00866 2.67850i 0.427325 0.285529i
\(89\) −9.67438 9.67438i −1.02548 1.02548i −0.999667 0.0258152i \(-0.991782\pi\)
−0.0258152 0.999667i \(-0.508218\pi\)
\(90\) −1.55752 + 6.25663i −0.164177 + 0.659507i
\(91\) 6.84467 1.36149i 0.717516 0.142723i
\(92\) −1.53717 + 0.305763i −0.160261 + 0.0318780i
\(93\) −0.990375 2.39098i −0.102697 0.247933i
\(94\) −2.00014 + 4.82876i −0.206299 + 0.498049i
\(95\) 3.52421 + 2.60578i 0.361576 + 0.267347i
\(96\) 0.0666039 + 0.334840i 0.00679773 + 0.0341745i
\(97\) 6.26366 + 1.24592i 0.635978 + 0.126504i 0.502541 0.864553i \(-0.332399\pi\)
0.133437 + 0.991057i \(0.457399\pi\)
\(98\) −5.91160 −0.597161
\(99\) −13.6345 2.71207i −1.37032 0.272573i
\(100\) 4.78045 1.46536i 0.478045 0.146536i
\(101\) 3.00567i 0.299075i −0.988756 0.149537i \(-0.952222\pi\)
0.988756 0.149537i \(-0.0477784\pi\)
\(102\) 1.34824 + 0.404545i 0.133496 + 0.0400559i
\(103\) 4.47783 4.47783i 0.441213 0.441213i −0.451206 0.892420i \(-0.649006\pi\)
0.892420 + 0.451206i \(0.149006\pi\)
\(104\) −0.743239 1.79434i −0.0728805 0.175949i
\(105\) 0.662637 2.66184i 0.0646668 0.259769i
\(106\) −4.98819 + 4.98819i −0.484496 + 0.484496i
\(107\) 1.43698 7.22418i 0.138918 0.698388i −0.847058 0.531500i \(-0.821628\pi\)
0.985976 0.166887i \(-0.0533716\pi\)
\(108\) 1.11592 1.67010i 0.107380 0.160705i
\(109\) 7.53682 + 5.03594i 0.721896 + 0.482356i 0.861439 0.507860i \(-0.169563\pi\)
−0.139543 + 0.990216i \(0.544563\pi\)
\(110\) 3.64662 + 10.1450i 0.347691 + 0.967287i
\(111\) 3.53582 + 1.46459i 0.335605 + 0.139012i
\(112\) 0.701012 + 3.52423i 0.0662394 + 0.333008i
\(113\) −11.8221 7.89926i −1.11213 0.743099i −0.143015 0.989721i \(-0.545680\pi\)
−0.969112 + 0.246621i \(0.920680\pi\)
\(114\) −0.371777 0.556404i −0.0348201 0.0521120i
\(115\) 0.166861 3.50059i 0.0155598 0.326432i
\(116\) 0.485359 2.44007i 0.0450645 0.226554i
\(117\) −2.14309 + 5.17387i −0.198129 + 0.478325i
\(118\) 0.255488 + 0.255488i 0.0235196 + 0.0235196i
\(119\) 14.1904 + 4.25787i 1.30083 + 0.390319i
\(120\) −0.762529 0.0363471i −0.0696090 0.00331802i
\(121\) −11.3117 + 4.68547i −1.02834 + 0.425952i
\(122\) −2.72513 4.07844i −0.246721 0.369245i
\(123\) 1.72685i 0.155705i
\(124\) −6.30293 + 4.21149i −0.566020 + 0.378203i
\(125\) 0.597397 + 11.1644i 0.0534328 + 0.998571i
\(126\) 5.75626 8.61486i 0.512809 0.767473i
\(127\) −5.23797 + 2.16964i −0.464795 + 0.192524i −0.602776 0.797911i \(-0.705939\pi\)
0.137981 + 0.990435i \(0.455939\pi\)
\(128\) 0.923880 0.382683i 0.0816602 0.0338248i
\(129\) 0.946038 1.41585i 0.0832940 0.124658i
\(130\) 4.29490 0.643485i 0.376688 0.0564373i
\(131\) −7.23020 + 4.83107i −0.631706 + 0.422092i −0.829777 0.558095i \(-0.811532\pi\)
0.198071 + 0.980188i \(0.436532\pi\)
\(132\) 1.64595i 0.143262i
\(133\) −3.91299 5.85621i −0.339299 0.507797i
\(134\) 10.4970 4.34798i 0.906800 0.375609i
\(135\) 3.02108 + 3.32350i 0.260013 + 0.286041i
\(136\) 0.391746 4.10445i 0.0335919 0.351954i
\(137\) −3.97096 3.97096i −0.339262 0.339262i 0.516827 0.856090i \(-0.327113\pi\)
−0.856090 + 0.516827i \(0.827113\pi\)
\(138\) −0.204763 + 0.494343i −0.0174306 + 0.0420812i
\(139\) −1.95952 + 9.85119i −0.166205 + 0.835567i 0.804252 + 0.594289i \(0.202566\pi\)
−0.970456 + 0.241278i \(0.922434\pi\)
\(140\) −8.02569 0.382556i −0.678294 0.0323319i
\(141\) 0.991342 + 1.48365i 0.0834861 + 0.124946i
\(142\) −6.60508 4.41337i −0.554286 0.370362i
\(143\) 1.82674 + 9.18365i 0.152760 + 0.767975i
\(144\) −2.66396 1.10345i −0.221996 0.0919539i
\(145\) 5.03239 + 2.37118i 0.417918 + 0.196916i
\(146\) −13.6199 9.10053i −1.12719 0.753165i
\(147\) −1.12126 + 1.67809i −0.0924802 + 0.138406i
\(148\) 2.18699 10.9947i 0.179770 0.903763i
\(149\) 9.70578 9.70578i 0.795128 0.795128i −0.187194 0.982323i \(-0.559939\pi\)
0.982323 + 0.187194i \(0.0599394\pi\)
\(150\) 0.490754 1.63494i 0.0400699 0.133492i
\(151\) −9.32964 22.5237i −0.759235 1.83296i −0.496327 0.868136i \(-0.665318\pi\)
−0.262909 0.964821i \(-0.584682\pi\)
\(152\) −1.38601 + 1.38601i −0.112420 + 0.112420i
\(153\) −9.16732 + 7.56985i −0.741134 + 0.611986i
\(154\) 17.3238i 1.39599i
\(155\) −5.73368 15.9513i −0.460540 1.28124i
\(156\) −0.650319 0.129356i −0.0520672 0.0103568i
\(157\) 5.06165 0.403964 0.201982 0.979389i \(-0.435262\pi\)
0.201982 + 0.979389i \(0.435262\pi\)
\(158\) −16.8162 3.34495i −1.33782 0.266110i
\(159\) 0.469848 + 2.36209i 0.0372614 + 0.187326i
\(160\) 0.331322 + 2.21139i 0.0261933 + 0.174825i
\(161\) −2.15515 + 5.20300i −0.169850 + 0.410054i
\(162\) 3.04792 + 7.35833i 0.239467 + 0.578125i
\(163\) −7.30456 + 1.45297i −0.572137 + 0.113805i −0.472676 0.881236i \(-0.656712\pi\)
−0.0994613 + 0.995041i \(0.531712\pi\)
\(164\) 4.96095 0.986794i 0.387385 0.0770557i
\(165\) 3.57146 + 0.889076i 0.278038 + 0.0692144i
\(166\) 2.10171 + 2.10171i 0.163125 + 0.163125i
\(167\) −6.38164 + 4.26408i −0.493826 + 0.329964i −0.777422 0.628980i \(-0.783473\pi\)
0.283595 + 0.958944i \(0.408473\pi\)
\(168\) 1.13336 + 0.469455i 0.0874409 + 0.0362192i
\(169\) −9.22795 −0.709842
\(170\) 8.69442 + 3.06709i 0.666832 + 0.235235i
\(171\) 5.65187 0.432209
\(172\) −4.60809 1.90873i −0.351364 0.145540i
\(173\) 3.94433 2.63552i 0.299882 0.200375i −0.396521 0.918026i \(-0.629783\pi\)
0.696403 + 0.717651i \(0.254783\pi\)
\(174\) −0.600588 0.600588i −0.0455304 0.0455304i
\(175\) 5.16524 17.2079i 0.390455 1.30079i
\(176\) −4.72854 + 0.940564i −0.356427 + 0.0708977i
\(177\) 0.120983 0.0240650i 0.00909363 0.00180884i
\(178\) 5.23574 + 12.6402i 0.392435 + 0.947422i
\(179\) −2.12374 + 5.12717i −0.158736 + 0.383222i −0.983159 0.182751i \(-0.941500\pi\)
0.824423 + 0.565974i \(0.191500\pi\)
\(180\) 3.83327 5.18434i 0.285715 0.386418i
\(181\) 0.457102 + 2.29801i 0.0339761 + 0.170809i 0.994048 0.108945i \(-0.0347471\pi\)
−0.960072 + 0.279754i \(0.909747\pi\)
\(182\) −6.84467 1.36149i −0.507361 0.100920i
\(183\) −1.67460 −0.123790
\(184\) 1.53717 + 0.305763i 0.113322 + 0.0225411i
\(185\) 22.6756 + 10.6843i 1.66714 + 0.785529i
\(186\) 2.58798i 0.189760i
\(187\) −5.71289 + 19.0396i −0.417768 + 1.39231i
\(188\) 3.69578 3.69578i 0.269542 0.269542i
\(189\) −2.76201 6.66808i −0.200907 0.485032i
\(190\) −2.25875 3.75608i −0.163867 0.272495i
\(191\) 8.70377 8.70377i 0.629783 0.629783i −0.318231 0.948013i \(-0.603089\pi\)
0.948013 + 0.318231i \(0.103089\pi\)
\(192\) 0.0666039 0.334840i 0.00480672 0.0241650i
\(193\) −1.60722 + 2.40537i −0.115690 + 0.173142i −0.884795 0.465980i \(-0.845702\pi\)
0.769106 + 0.639122i \(0.220702\pi\)
\(194\) −5.31007 3.54808i −0.381241 0.254737i
\(195\) 0.631959 1.34122i 0.0452556 0.0960466i
\(196\) 5.46160 + 2.26227i 0.390114 + 0.161591i
\(197\) −2.77782 13.9651i −0.197912 0.994969i −0.944207 0.329354i \(-0.893169\pi\)
0.746295 0.665615i \(-0.231831\pi\)
\(198\) 11.5588 + 7.72331i 0.821445 + 0.548872i
\(199\) 7.74473 + 11.5908i 0.549010 + 0.821651i 0.997391 0.0721915i \(-0.0229993\pi\)
−0.448381 + 0.893842i \(0.647999\pi\)
\(200\) −4.97733 0.475584i −0.351950 0.0336289i
\(201\) 0.756742 3.80440i 0.0533765 0.268342i
\(202\) −1.15022 + 2.77687i −0.0809291 + 0.195380i
\(203\) −6.32124 6.32124i −0.443664 0.443664i
\(204\) −1.09080 0.889702i −0.0763715 0.0622916i
\(205\) −0.538513 + 11.2975i −0.0376114 + 0.789053i
\(206\) −5.85056 + 2.42338i −0.407628 + 0.168845i
\(207\) −2.51073 3.75757i −0.174508 0.261169i
\(208\) 1.94218i 0.134666i
\(209\) 7.85741 5.25015i 0.543508 0.363161i
\(210\) −1.63084 + 2.20564i −0.112539 + 0.152204i
\(211\) 5.28582 7.91079i 0.363891 0.544602i −0.603671 0.797233i \(-0.706296\pi\)
0.967563 + 0.252632i \(0.0812961\pi\)
\(212\) 6.51739 2.69959i 0.447616 0.185409i
\(213\) −2.50559 + 1.03785i −0.171681 + 0.0711124i
\(214\) −4.09217 + 6.12436i −0.279735 + 0.418653i
\(215\) 6.63076 8.96783i 0.452214 0.611601i
\(216\) −1.67010 + 1.11592i −0.113636 + 0.0759290i
\(217\) 27.2387i 1.84908i
\(218\) −5.03594 7.53682i −0.341077 0.510458i
\(219\) −5.16663 + 2.14009i −0.349128 + 0.144614i
\(220\) 0.513285 10.7682i 0.0346056 0.725995i
\(221\) 7.07361 + 3.75351i 0.475823 + 0.252489i
\(222\) −2.70620 2.70620i −0.181628 0.181628i
\(223\) 0.465309 1.12336i 0.0311594 0.0752254i −0.907534 0.419979i \(-0.862037\pi\)
0.938693 + 0.344753i \(0.112037\pi\)
\(224\) 0.701012 3.52423i 0.0468384 0.235472i
\(225\) 9.17863 + 11.1180i 0.611909 + 0.741198i
\(226\) 7.89926 + 11.8221i 0.525451 + 0.786392i
\(227\) 14.3089 + 9.56087i 0.949712 + 0.634577i 0.930911 0.365246i \(-0.119015\pi\)
0.0188008 + 0.999823i \(0.494015\pi\)
\(228\) 0.130551 + 0.656323i 0.00864594 + 0.0434661i
\(229\) −9.76206 4.04358i −0.645095 0.267207i 0.0360564 0.999350i \(-0.488520\pi\)
−0.681151 + 0.732143i \(0.738520\pi\)
\(230\) −1.49378 + 3.17027i −0.0984967 + 0.209041i
\(231\) −4.91760 3.28583i −0.323554 0.216192i
\(232\) −1.38219 + 2.06859i −0.0907450 + 0.135809i
\(233\) 2.40007 12.0660i 0.157234 0.790468i −0.819008 0.573783i \(-0.805475\pi\)
0.976241 0.216686i \(-0.0695246\pi\)
\(234\) 3.95991 3.95991i 0.258867 0.258867i
\(235\) 6.02295 + 10.0156i 0.392894 + 0.653344i
\(236\) −0.138269 0.333812i −0.00900056 0.0217293i
\(237\) −4.13906 + 4.13906i −0.268861 + 0.268861i
\(238\) −11.4808 9.36420i −0.744190 0.606991i
\(239\) 24.2390i 1.56789i 0.620830 + 0.783945i \(0.286796\pi\)
−0.620830 + 0.783945i \(0.713204\pi\)
\(240\) 0.690575 + 0.325387i 0.0445764 + 0.0210037i
\(241\) −25.0133 4.97546i −1.61125 0.320498i −0.694358 0.719630i \(-0.744311\pi\)
−0.916893 + 0.399133i \(0.869311\pi\)
\(242\) 12.2437 0.787056
\(243\) 8.57691 + 1.70605i 0.550209 + 0.109443i
\(244\) 0.956938 + 4.81085i 0.0612616 + 0.307983i
\(245\) −7.85891 + 10.6288i −0.502087 + 0.679052i
\(246\) 0.660837 1.59540i 0.0421334 0.101719i
\(247\) −1.45683 3.51709i −0.0926957 0.223787i
\(248\) 7.43482 1.47888i 0.472111 0.0939088i
\(249\) 0.995237 0.197965i 0.0630706 0.0125455i
\(250\) 3.72050 10.5431i 0.235305 0.666807i
\(251\) 21.0326 + 21.0326i 1.32757 + 1.32757i 0.907485 + 0.420083i \(0.137999\pi\)
0.420083 + 0.907485i \(0.362001\pi\)
\(252\) −8.61486 + 5.75626i −0.542685 + 0.362611i
\(253\) −6.98099 2.89162i −0.438891 0.181795i
\(254\) 5.66954 0.355738
\(255\) 2.51972 1.88629i 0.157791 0.118124i
\(256\) −1.00000 −0.0625000
\(257\) −6.85638 2.84001i −0.427689 0.177155i 0.158447 0.987368i \(-0.449351\pi\)
−0.586136 + 0.810213i \(0.699351\pi\)
\(258\) −1.41585 + 0.946038i −0.0881468 + 0.0588978i
\(259\) −28.4830 28.4830i −1.76985 1.76985i
\(260\) −4.21422 1.04908i −0.261355 0.0650615i
\(261\) 7.03580 1.39951i 0.435505 0.0866273i
\(262\) 8.52861 1.69645i 0.526899 0.104807i
\(263\) −6.46073 15.5976i −0.398385 0.961787i −0.988049 0.154139i \(-0.950740\pi\)
0.589664 0.807649i \(-0.299260\pi\)
\(264\) −0.629878 + 1.52066i −0.0387663 + 0.0935901i
\(265\) 2.33726 + 15.5999i 0.143577 + 0.958296i
\(266\) 1.37406 + 6.90787i 0.0842490 + 0.423548i
\(267\) 4.58116 + 0.911250i 0.280363 + 0.0557676i
\(268\) −11.3618 −0.694034
\(269\) 23.5534 + 4.68505i 1.43607 + 0.285653i 0.850931 0.525277i \(-0.176038\pi\)
0.585143 + 0.810930i \(0.301038\pi\)
\(270\) −1.51926 4.22663i −0.0924594 0.257225i
\(271\) 3.09601i 0.188069i −0.995569 0.0940346i \(-0.970024\pi\)
0.995569 0.0940346i \(-0.0299764\pi\)
\(272\) −1.93263 + 3.64211i −0.117183 + 0.220835i
\(273\) −1.68472 + 1.68472i −0.101964 + 0.101964i
\(274\) 2.14907 + 5.18831i 0.129830 + 0.313437i
\(275\) 23.0882 + 6.93032i 1.39227 + 0.417914i
\(276\) 0.378353 0.378353i 0.0227742 0.0227742i
\(277\) 2.07129 10.4131i 0.124452 0.625662i −0.867331 0.497732i \(-0.834166\pi\)
0.991783 0.127931i \(-0.0408335\pi\)
\(278\) 5.58025 8.35143i 0.334681 0.500886i
\(279\) −18.1742 12.1436i −1.08806 0.727018i
\(280\) 7.26837 + 3.42473i 0.434368 + 0.204667i
\(281\) −16.0958 6.66711i −0.960197 0.397727i −0.153143 0.988204i \(-0.548939\pi\)
−0.807054 + 0.590478i \(0.798939\pi\)
\(282\) −0.348113 1.75008i −0.0207298 0.104216i
\(283\) −2.86083 1.91155i −0.170059 0.113630i 0.467628 0.883925i \(-0.345109\pi\)
−0.637687 + 0.770296i \(0.720109\pi\)
\(284\) 4.41337 + 6.60508i 0.261885 + 0.391939i
\(285\) −1.49464 0.0712442i −0.0885347 0.00422014i
\(286\) 1.82674 9.18365i 0.108018 0.543041i
\(287\) 6.95538 16.7918i 0.410563 0.991186i
\(288\) 2.03890 + 2.03890i 0.120144 + 0.120144i
\(289\) 9.52987 + 14.0777i 0.560580 + 0.828100i
\(290\) −3.74191 4.11650i −0.219733 0.241729i
\(291\) −2.01434 + 0.834368i −0.118083 + 0.0489115i
\(292\) 9.10053 + 13.6199i 0.532568 + 0.797045i
\(293\) 3.01986i 0.176422i 0.996102 + 0.0882111i \(0.0281150\pi\)
−0.996102 + 0.0882111i \(0.971885\pi\)
\(294\) 1.67809 1.12126i 0.0978681 0.0653934i
\(295\) 0.799007 0.119711i 0.0465200 0.00696987i
\(296\) −6.22802 + 9.32090i −0.361997 + 0.541766i
\(297\) 8.94672 3.70585i 0.519141 0.215035i
\(298\) −12.6812 + 5.25273i −0.734603 + 0.304282i
\(299\) −1.69113 + 2.53095i −0.0978004 + 0.146369i
\(300\) −1.07906 + 1.32268i −0.0622996 + 0.0763650i
\(301\) −14.9019 + 9.95714i −0.858932 + 0.573920i
\(302\) 24.3795i 1.40288i
\(303\) 0.570090 + 0.853200i 0.0327508 + 0.0490151i
\(304\) 1.81090 0.750101i 0.103862 0.0430212i
\(305\) −10.9557 0.522220i −0.627321 0.0299022i
\(306\) 11.3664 3.48545i 0.649771 0.199250i
\(307\) −9.44890 9.44890i −0.539277 0.539277i 0.384039 0.923317i \(-0.374533\pi\)
−0.923317 + 0.384039i \(0.874533\pi\)
\(308\) −6.62953 + 16.0051i −0.377752 + 0.911975i
\(309\) −0.421776 + 2.12041i −0.0239940 + 0.120626i
\(310\) −0.807052 + 16.9312i −0.0458375 + 0.961629i
\(311\) 13.5248 + 20.2414i 0.766923 + 1.14778i 0.985118 + 0.171877i \(0.0549830\pi\)
−0.218195 + 0.975905i \(0.570017\pi\)
\(312\) 0.551314 + 0.368376i 0.0312120 + 0.0208552i
\(313\) 3.69489 + 18.5755i 0.208848 + 1.04995i 0.932881 + 0.360184i \(0.117286\pi\)
−0.724034 + 0.689765i \(0.757714\pi\)
\(314\) −4.67636 1.93701i −0.263902 0.109312i
\(315\) −7.83680 21.8022i −0.441554 1.22842i
\(316\) 14.2561 + 9.52560i 0.801966 + 0.535857i
\(317\) 3.26186 4.88172i 0.183204 0.274185i −0.728488 0.685059i \(-0.759776\pi\)
0.911692 + 0.410874i \(0.134776\pi\)
\(318\) 0.469848 2.36209i 0.0263478 0.132459i
\(319\) 8.48136 8.48136i 0.474865 0.474865i
\(320\) 0.540159 2.16985i 0.0301958 0.121298i
\(321\) 0.962317 + 2.32324i 0.0537113 + 0.129670i
\(322\) 3.98221 3.98221i 0.221920 0.221920i
\(323\) 0.767864 8.04517i 0.0427251 0.447645i
\(324\) 7.96460i 0.442478i
\(325\) 4.55270 8.57753i 0.252539 0.475796i
\(326\) 7.30456 + 1.45297i 0.404562 + 0.0804724i
\(327\) −3.09461 −0.171132
\(328\) −4.96095 0.986794i −0.273923 0.0544866i
\(329\) −3.66392 18.4198i −0.201999 1.01552i
\(330\) −2.95936 2.18814i −0.162908 0.120453i
\(331\) 5.88738 14.2134i 0.323599 0.781238i −0.675440 0.737415i \(-0.736046\pi\)
0.999039 0.0438231i \(-0.0139538\pi\)
\(332\) −1.13744 2.74602i −0.0624251 0.150707i
\(333\) 31.7028 6.30607i 1.73730 0.345571i
\(334\) 7.52766 1.49734i 0.411895 0.0819311i
\(335\) 6.13720 24.6534i 0.335311 1.34696i
\(336\) −0.867439 0.867439i −0.0473227 0.0473227i
\(337\) −2.95615 + 1.97524i −0.161032 + 0.107598i −0.633475 0.773763i \(-0.718372\pi\)
0.472443 + 0.881361i \(0.343372\pi\)
\(338\) 8.52552 + 3.53138i 0.463727 + 0.192082i
\(339\) 4.85413 0.263640
\(340\) −6.85888 6.16083i −0.371975 0.334118i
\(341\) −36.5468 −1.97912
\(342\) −5.22164 2.16288i −0.282354 0.116955i
\(343\) −3.25182 + 2.17280i −0.175582 + 0.117320i
\(344\) 3.52688 + 3.52688i 0.190157 + 0.190157i
\(345\) 0.616597 + 1.02534i 0.0331965 + 0.0552024i
\(346\) −4.65265 + 0.925470i −0.250128 + 0.0497536i
\(347\) −6.88437 + 1.36939i −0.369573 + 0.0735125i −0.376383 0.926464i \(-0.622832\pi\)
0.00681022 + 0.999977i \(0.497832\pi\)
\(348\) 0.325036 + 0.784706i 0.0174237 + 0.0420647i
\(349\) −0.541376 + 1.30700i −0.0289792 + 0.0699620i −0.937707 0.347428i \(-0.887055\pi\)
0.908727 + 0.417390i \(0.137055\pi\)
\(350\) −11.3572 + 13.9213i −0.607069 + 0.744127i
\(351\) −0.761062 3.82612i −0.0406225 0.204223i
\(352\) 4.72854 + 0.940564i 0.252032 + 0.0501323i
\(353\) 15.8188 0.841950 0.420975 0.907072i \(-0.361688\pi\)
0.420975 + 0.907072i \(0.361688\pi\)
\(354\) −0.120983 0.0240650i −0.00643017 0.00127904i
\(355\) −16.7159 + 6.00854i −0.887189 + 0.318900i
\(356\) 13.6816i 0.725125i
\(357\) −4.83574 + 1.48286i −0.255935 + 0.0784815i
\(358\) 3.92416 3.92416i 0.207399 0.207399i
\(359\) 7.61923 + 18.3945i 0.402128 + 0.970822i 0.987149 + 0.159804i \(0.0510863\pi\)
−0.585021 + 0.811018i \(0.698914\pi\)
\(360\) −5.52544 + 3.32277i −0.291216 + 0.175126i
\(361\) 10.7183 10.7183i 0.564121 0.564121i
\(362\) 0.457102 2.29801i 0.0240247 0.120780i
\(363\) 2.32229 3.47555i 0.121889 0.182419i
\(364\) 5.80263 + 3.87719i 0.304140 + 0.203220i
\(365\) −34.4688 + 12.3898i −1.80418 + 0.648513i
\(366\) 1.54713 + 0.640843i 0.0808698 + 0.0334974i
\(367\) −5.99119 30.1198i −0.312738 1.57224i −0.742846 0.669462i \(-0.766525\pi\)
0.430109 0.902777i \(-0.358475\pi\)
\(368\) −1.30315 0.870739i −0.0679315 0.0453904i
\(369\) 8.10292 + 12.1269i 0.421821 + 0.631300i
\(370\) −16.8608 18.5486i −0.876550 0.964297i
\(371\) 4.94520 24.8612i 0.256742 1.29073i
\(372\) 0.990375 2.39098i 0.0513486 0.123966i
\(373\) 16.7824 + 16.7824i 0.868959 + 0.868959i 0.992357 0.123399i \(-0.0393794\pi\)
−0.123399 + 0.992357i \(0.539379\pi\)
\(374\) 12.5642 15.4041i 0.649677 0.796525i
\(375\) −2.28715 3.05585i −0.118108 0.157804i
\(376\) −4.82876 + 2.00014i −0.249025 + 0.103149i
\(377\) −2.68445 4.01756i −0.138256 0.206915i
\(378\) 7.21748i 0.371227i
\(379\) −21.7735 + 14.5486i −1.11843 + 0.747310i −0.970359 0.241667i \(-0.922306\pi\)
−0.148070 + 0.988977i \(0.547306\pi\)
\(380\) 0.649426 + 4.33455i 0.0333149 + 0.222358i
\(381\) 1.07535 1.60938i 0.0550919 0.0824509i
\(382\) −11.3720 + 4.71045i −0.581843 + 0.241007i
\(383\) −6.51188 + 2.69731i −0.332742 + 0.137826i −0.542798 0.839863i \(-0.682635\pi\)
0.210057 + 0.977689i \(0.432635\pi\)
\(384\) −0.189672 + 0.283864i −0.00967915 + 0.0144859i
\(385\) −31.1476 23.0303i −1.58743 1.17374i
\(386\) 2.40537 1.60722i 0.122430 0.0818051i
\(387\) 14.3819i 0.731075i
\(388\) 3.54808 + 5.31007i 0.180126 + 0.269578i
\(389\) −29.0794 + 12.0451i −1.47438 + 0.610710i −0.967854 0.251512i \(-0.919072\pi\)
−0.506530 + 0.862222i \(0.669072\pi\)
\(390\) −1.09712 + 0.997284i −0.0555547 + 0.0504994i
\(391\) −5.68984 + 3.06340i −0.287747 + 0.154923i
\(392\) −4.18013 4.18013i −0.211128 0.211128i
\(393\) 1.13608 2.74273i 0.0573075 0.138353i
\(394\) −2.77782 + 13.9651i −0.139945 + 0.703549i
\(395\) −28.3696 + 25.7881i −1.42743 + 1.29754i
\(396\) −7.72331 11.5588i −0.388111 0.580849i
\(397\) −21.7885 14.5586i −1.09353 0.730675i −0.128213 0.991747i \(-0.540924\pi\)
−0.965319 + 0.261072i \(0.915924\pi\)
\(398\) −2.71959 13.6723i −0.136321 0.685330i
\(399\) 2.22151 + 0.920182i 0.111215 + 0.0460667i
\(400\) 4.41646 + 2.34412i 0.220823 + 0.117206i
\(401\) 14.0433 + 9.38346i 0.701291 + 0.468587i 0.854396 0.519622i \(-0.173927\pi\)
−0.153105 + 0.988210i \(0.548927\pi\)
\(402\) −2.15502 + 3.22521i −0.107483 + 0.160859i
\(403\) −2.87224 + 14.4397i −0.143076 + 0.719294i
\(404\) 2.12533 2.12533i 0.105739 0.105739i
\(405\) 17.2819 + 4.30215i 0.858747 + 0.213776i
\(406\) 3.42103 + 8.25910i 0.169783 + 0.409892i
\(407\) 38.2163 38.2163i 1.89431 1.89431i
\(408\) 0.667297 + 1.23941i 0.0330361 + 0.0613599i
\(409\) 14.1837i 0.701338i −0.936500 0.350669i \(-0.885954\pi\)
0.936500 0.350669i \(-0.114046\pi\)
\(410\) 4.82090 10.2315i 0.238087 0.505296i
\(411\) 1.88039 + 0.374033i 0.0927530 + 0.0184497i
\(412\) 6.33260 0.311985
\(413\) −1.27336 0.253286i −0.0626578 0.0124634i
\(414\) 0.881650 + 4.43236i 0.0433307 + 0.217838i
\(415\) 6.57284 0.984778i 0.322648 0.0483408i
\(416\) 0.743239 1.79434i 0.0364403 0.0879746i
\(417\) −1.31225 3.16806i −0.0642614 0.155141i
\(418\) −9.26844 + 1.84361i −0.453334 + 0.0901738i
\(419\) −7.69999 + 1.53162i −0.376169 + 0.0748247i −0.379554 0.925170i \(-0.623923\pi\)
0.00338495 + 0.999994i \(0.498923\pi\)
\(420\) 2.35076 1.41365i 0.114705 0.0689792i
\(421\) −8.33374 8.33374i −0.406162 0.406162i 0.474236 0.880398i \(-0.342724\pi\)
−0.880398 + 0.474236i \(0.842724\pi\)
\(422\) −7.91079 + 5.28582i −0.385091 + 0.257310i
\(423\) 13.9235 + 5.76729i 0.676983 + 0.280415i
\(424\) −7.05437 −0.342590
\(425\) 17.0729 11.5549i 0.828159 0.560493i
\(426\) 2.71204 0.131399
\(427\) 16.2837 + 6.74493i 0.788024 + 0.326410i
\(428\) 6.12436 4.09217i 0.296032 0.197802i
\(429\) −2.26043 2.26043i −0.109134 0.109134i
\(430\) −9.55787 + 5.74771i −0.460921 + 0.277179i
\(431\) −12.7486 + 2.53586i −0.614080 + 0.122148i −0.492324 0.870412i \(-0.663852\pi\)
−0.121756 + 0.992560i \(0.538852\pi\)
\(432\) 1.97002 0.391860i 0.0947824 0.0188534i
\(433\) 9.02722 + 21.7936i 0.433820 + 1.04733i 0.978045 + 0.208395i \(0.0668240\pi\)
−0.544224 + 0.838940i \(0.683176\pi\)
\(434\) 10.4238 25.1653i 0.500358 1.20797i
\(435\) −1.87826 + 0.281411i −0.0900557 + 0.0134926i
\(436\) 1.76839 + 8.89028i 0.0846904 + 0.425767i
\(437\) 3.01303 + 0.599328i 0.144133 + 0.0286697i
\(438\) 5.59231 0.267211
\(439\) 19.3108 + 3.84115i 0.921652 + 0.183328i 0.633041 0.774118i \(-0.281806\pi\)
0.288611 + 0.957446i \(0.406806\pi\)
\(440\) −4.59504 + 9.75214i −0.219060 + 0.464915i
\(441\) 17.0458i 0.811703i
\(442\) −5.09876 6.17475i −0.242523 0.293703i
\(443\) −15.3000 + 15.3000i −0.726923 + 0.726923i −0.970006 0.243083i \(-0.921841\pi\)
0.243083 + 0.970006i \(0.421841\pi\)
\(444\) 1.46459 + 3.53582i 0.0695062 + 0.167803i
\(445\) 29.6870 + 7.39026i 1.40730 + 0.350332i
\(446\) −0.859779 + 0.859779i −0.0407117 + 0.0407117i
\(447\) −0.914208 + 4.59603i −0.0432406 + 0.217385i
\(448\) −1.99631 + 2.98770i −0.0943170 + 0.141155i
\(449\) −28.1837 18.8317i −1.33007 0.888725i −0.331568 0.943431i \(-0.607578\pi\)
−0.998502 + 0.0547067i \(0.982578\pi\)
\(450\) −4.22528 13.7842i −0.199182 0.649792i
\(451\) 22.5299 + 9.33219i 1.06089 + 0.439436i
\(452\) −2.77385 13.9451i −0.130471 0.655922i
\(453\) 6.92047 + 4.62411i 0.325152 + 0.217260i
\(454\) −9.56087 14.3089i −0.448714 0.671548i
\(455\) −11.5473 + 10.4965i −0.541344 + 0.492084i
\(456\) 0.130551 0.656323i 0.00611360 0.0307352i
\(457\) −2.66599 + 6.43627i −0.124710 + 0.301076i −0.973888 0.227031i \(-0.927098\pi\)
0.849178 + 0.528107i \(0.177098\pi\)
\(458\) 7.47155 + 7.47155i 0.349123 + 0.349123i
\(459\) 2.38012 7.93233i 0.111094 0.370249i
\(460\) 2.59328 2.35730i 0.120912 0.109910i
\(461\) −8.56017 + 3.54574i −0.398687 + 0.165142i −0.573013 0.819547i \(-0.694225\pi\)
0.174326 + 0.984688i \(0.444225\pi\)
\(462\) 3.28583 + 4.91760i 0.152871 + 0.228787i
\(463\) 3.97411i 0.184692i 0.995727 + 0.0923462i \(0.0294366\pi\)
−0.995727 + 0.0923462i \(0.970563\pi\)
\(464\) 2.06859 1.38219i 0.0960318 0.0641664i
\(465\) 4.65309 + 3.44047i 0.215782 + 0.159548i
\(466\) −6.83483 + 10.2290i −0.316617 + 0.473851i
\(467\) 17.8234 7.38269i 0.824768 0.341630i 0.0699388 0.997551i \(-0.477720\pi\)
0.754829 + 0.655921i \(0.227720\pi\)
\(468\) −5.17387 + 2.14309i −0.239162 + 0.0990643i
\(469\) −22.6818 + 33.9457i −1.04735 + 1.56747i
\(470\) −1.73169 11.5581i −0.0798769 0.533134i
\(471\) −1.43682 + 0.960053i −0.0662052 + 0.0442369i
\(472\) 0.361315i 0.0166309i
\(473\) −13.3597 19.9943i −0.614281 0.919337i
\(474\) 5.40795 2.24005i 0.248395 0.102889i
\(475\) −9.75611 0.932197i −0.447641 0.0427721i
\(476\) 7.02336 + 13.0449i 0.321915 + 0.597912i
\(477\) 14.3832 + 14.3832i 0.658561 + 0.658561i
\(478\) 9.27587 22.3939i 0.424268 1.02427i
\(479\) −0.484550 + 2.43600i −0.0221396 + 0.111304i −0.990275 0.139124i \(-0.955571\pi\)
0.968135 + 0.250428i \(0.0805713\pi\)
\(480\) −0.513488 0.564890i −0.0234374 0.0257836i
\(481\) −12.0959 18.1028i −0.551526 0.825418i
\(482\) 21.2053 + 14.1689i 0.965874 + 0.645377i
\(483\) −0.375093 1.88572i −0.0170673 0.0858031i
\(484\) −11.3117 4.68547i −0.514169 0.212976i
\(485\) −13.4386 + 4.83049i −0.610214 + 0.219341i
\(486\) −7.27116 4.85843i −0.329826 0.220383i
\(487\) −20.4787 + 30.6486i −0.927979 + 1.38882i −0.00667389 + 0.999978i \(0.502124\pi\)
−0.921305 + 0.388841i \(0.872876\pi\)
\(488\) 0.956938 4.81085i 0.0433185 0.217777i
\(489\) 1.79791 1.79791i 0.0813045 0.0813045i
\(490\) 11.3282 6.81230i 0.511755 0.307748i
\(491\) 6.37547 + 15.3918i 0.287721 + 0.694620i 0.999973 0.00730348i \(-0.00232479\pi\)
−0.712252 + 0.701924i \(0.752325\pi\)
\(492\) −1.22107 + 1.22107i −0.0550500 + 0.0550500i
\(493\) −1.03625 10.2053i −0.0466703 0.459622i
\(494\) 3.80688i 0.171279i
\(495\) 29.2525 10.5148i 1.31480 0.472606i
\(496\) −7.43482 1.47888i −0.333833 0.0664035i
\(497\) 28.5444 1.28039
\(498\) −0.995237 0.197965i −0.0445976 0.00887102i
\(499\) −2.15278 10.8228i −0.0963718 0.484494i −0.998584 0.0532010i \(-0.983058\pi\)
0.902212 0.431293i \(-0.141942\pi\)
\(500\) −7.47198 + 8.31682i −0.334157 + 0.371940i
\(501\) 1.00274 2.42084i 0.0447993 0.108155i
\(502\) −11.3828 27.4805i −0.508039 1.22651i
\(503\) 19.9882 3.97591i 0.891231 0.177277i 0.271824 0.962347i \(-0.412373\pi\)
0.619407 + 0.785070i \(0.287373\pi\)
\(504\) 10.1619 2.02133i 0.452648 0.0900372i
\(505\) 3.46361 + 5.75964i 0.154129 + 0.256301i
\(506\) 5.34302 + 5.34302i 0.237526 + 0.237526i
\(507\) 2.61948 1.75028i 0.116335 0.0777328i
\(508\) −5.23797 2.16964i −0.232397 0.0962621i
\(509\) 4.17100 0.184876 0.0924382 0.995718i \(-0.470534\pi\)
0.0924382 + 0.995718i \(0.470534\pi\)
\(510\) −3.04977 + 0.778452i −0.135046 + 0.0344704i
\(511\) 58.8596 2.60380
\(512\) 0.923880 + 0.382683i 0.0408301 + 0.0169124i
\(513\) −3.27357 + 2.18733i −0.144532 + 0.0965731i
\(514\) 5.24765 + 5.24765i 0.231464 + 0.231464i
\(515\) −3.42061 + 13.7408i −0.150730 + 0.605491i
\(516\) 1.67010 0.332205i 0.0735223 0.0146245i
\(517\) 24.7143 4.91597i 1.08693 0.216204i
\(518\) 15.4149 + 37.2149i 0.677292 + 1.63513i
\(519\) −0.619770 + 1.49626i −0.0272049 + 0.0656783i
\(520\) 3.49197 + 2.58194i 0.153133 + 0.113226i
\(521\) 6.75071 + 33.9381i 0.295754 + 1.48686i 0.787607 + 0.616178i \(0.211320\pi\)
−0.491853 + 0.870678i \(0.663680\pi\)
\(522\) −7.03580 1.39951i −0.307949 0.0612548i
\(523\) −9.83988 −0.430268 −0.215134 0.976585i \(-0.569019\pi\)
−0.215134 + 0.976585i \(0.569019\pi\)
\(524\) −8.52861 1.69645i −0.372574 0.0741096i
\(525\) 1.79762 + 5.86439i 0.0784546 + 0.255943i
\(526\) 16.8827i 0.736120i
\(527\) −19.7550 + 24.2203i −0.860541 + 1.05505i
\(528\) 1.16386 1.16386i 0.0506506 0.0506506i
\(529\) 7.86170 + 18.9798i 0.341813 + 0.825210i
\(530\) 3.81048 15.3069i 0.165517 0.664889i
\(531\) 0.736687 0.736687i 0.0319695 0.0319695i
\(532\) 1.37406 6.90787i 0.0595731 0.299494i
\(533\) 5.45781 8.16819i 0.236404 0.353804i
\(534\) −3.88372 2.59502i −0.168065 0.112298i
\(535\) 5.57124 + 15.4993i 0.240866 + 0.670095i
\(536\) 10.4970 + 4.34798i 0.453400 + 0.187804i
\(537\) −0.369625 1.85823i −0.0159505 0.0801886i
\(538\) −19.9676 13.3419i −0.860863 0.575210i
\(539\) 15.8342 + 23.6976i 0.682028 + 1.02073i
\(540\) −0.213846 + 4.48630i −0.00920246 + 0.193059i
\(541\) 2.36486 11.8890i 0.101673 0.511147i −0.896065 0.443924i \(-0.853586\pi\)
0.997738 0.0672231i \(-0.0214139\pi\)
\(542\) −1.18479 + 2.86034i −0.0508912 + 0.122862i
\(543\) −0.565622 0.565622i −0.0242731 0.0242731i
\(544\) 3.17929 2.62528i 0.136311 0.112558i
\(545\) −20.2457 0.965044i −0.867233 0.0413379i
\(546\) 2.20119 0.911763i 0.0942023 0.0390199i
\(547\) 1.86734 + 2.79467i 0.0798416 + 0.119491i 0.869241 0.494388i \(-0.164608\pi\)
−0.789399 + 0.613880i \(0.789608\pi\)
\(548\) 5.61579i 0.239895i
\(549\) −11.7600 + 7.85776i −0.501903 + 0.335361i
\(550\) −18.6786 15.2382i −0.796457 0.649761i
\(551\) −2.70923 + 4.05466i −0.115417 + 0.172734i
\(552\) −0.494343 + 0.204763i −0.0210406 + 0.00871531i
\(553\) 56.9192 23.5767i 2.42045 1.00258i
\(554\) −5.89855 + 8.82780i −0.250605 + 0.375057i
\(555\) −8.46330 + 1.26802i −0.359247 + 0.0538243i
\(556\) −8.35143 + 5.58025i −0.354180 + 0.236655i
\(557\) 8.39356i 0.355647i 0.984062 + 0.177823i \(0.0569055\pi\)
−0.984062 + 0.177823i \(0.943094\pi\)
\(558\) 12.1436 + 18.1742i 0.514079 + 0.769374i
\(559\) −8.94973 + 3.70710i −0.378533 + 0.156794i
\(560\) −5.40451 5.94552i −0.228382 0.251244i
\(561\) −1.98959 6.48823i −0.0840007 0.273933i
\(562\) 12.3192 + 12.3192i 0.519655 + 0.519655i
\(563\) −14.0372 + 33.8887i −0.591596 + 1.42824i 0.290365 + 0.956916i \(0.406223\pi\)
−0.881961 + 0.471323i \(0.843777\pi\)
\(564\) −0.348113 + 1.75008i −0.0146582 + 0.0736918i
\(565\) 31.7570 + 1.51374i 1.33603 + 0.0636837i
\(566\) 1.91155 + 2.86083i 0.0803483 + 0.120250i
\(567\) −23.7958 15.8998i −0.999329 0.667731i
\(568\) −1.54977 7.79122i −0.0650269 0.326912i
\(569\) 11.3582 + 4.70471i 0.476159 + 0.197232i 0.607838 0.794061i \(-0.292037\pi\)
−0.131679 + 0.991292i \(0.542037\pi\)
\(570\) 1.35360 + 0.637794i 0.0566961 + 0.0267143i
\(571\) −27.6155 18.4521i −1.15567 0.772195i −0.178352 0.983967i \(-0.557077\pi\)
−0.977319 + 0.211772i \(0.932077\pi\)
\(572\) −5.20212 + 7.78552i −0.217512 + 0.325529i
\(573\) −0.819827 + 4.12155i −0.0342488 + 0.172180i
\(574\) −12.8519 + 12.8519i −0.536426 + 0.536426i
\(575\) 3.71419 + 6.90033i 0.154893 + 0.287764i
\(576\) −1.10345 2.66396i −0.0459770 0.110998i
\(577\) 5.54163 5.54163i 0.230701 0.230701i −0.582284 0.812985i \(-0.697841\pi\)
0.812985 + 0.582284i \(0.197841\pi\)
\(578\) −3.41715 16.6530i −0.142135 0.692674i
\(579\) 0.987641i 0.0410450i
\(580\) 1.88176 + 5.23512i 0.0781360 + 0.217376i
\(581\) −10.4750 2.08360i −0.434575 0.0864423i
\(582\) 2.18031 0.0903767
\(583\) 33.3568 + 6.63509i 1.38150 + 0.274797i
\(584\) −3.19568 16.0658i −0.132238 0.664806i
\(585\) −1.85545 12.3841i −0.0767136 0.512020i
\(586\) 1.15565 2.78999i 0.0477395 0.115253i
\(587\) −8.91145 21.5141i −0.367815 0.887984i −0.994108 0.108396i \(-0.965429\pi\)
0.626293 0.779588i \(-0.284571\pi\)
\(588\) −1.97944 + 0.393735i −0.0816308 + 0.0162374i
\(589\) 14.5730 2.89876i 0.600472 0.119441i
\(590\) −0.783998 0.195168i −0.0322767 0.00803493i
\(591\) 3.43730 + 3.43730i 0.141392 + 0.141392i
\(592\) 9.32090 6.22802i 0.383086 0.255970i
\(593\) −42.3333 17.5350i −1.73842 0.720077i −0.998898 0.0469434i \(-0.985052\pi\)
−0.739521 0.673133i \(-0.764948\pi\)
\(594\) −9.68386 −0.397334
\(595\) −32.0992 + 8.19328i −1.31594 + 0.335892i
\(596\) 13.7260 0.562241
\(597\) −4.39690 1.82126i −0.179953 0.0745391i
\(598\) 2.53095 1.69113i 0.103498 0.0691553i
\(599\) 10.6077 + 10.6077i 0.433419 + 0.433419i 0.889790 0.456371i \(-0.150851\pi\)
−0.456371 + 0.889790i \(0.650851\pi\)
\(600\) 1.50309 0.809058i 0.0613634 0.0330297i
\(601\) 14.2317 2.83086i 0.580523 0.115473i 0.103910 0.994587i \(-0.466864\pi\)
0.476613 + 0.879113i \(0.341864\pi\)
\(602\) 17.5780 3.49648i 0.716426 0.142506i
\(603\) −12.5372 30.2674i −0.510553 1.23258i
\(604\) 9.32964 22.5237i 0.379618 0.916478i
\(605\) 16.2769 22.0138i 0.661749 0.894988i
\(606\) −0.200189 1.00642i −0.00813212 0.0408829i
\(607\) −37.2562 7.41071i −1.51218 0.300792i −0.631827 0.775109i \(-0.717695\pi\)
−0.880354 + 0.474318i \(0.842695\pi\)
\(608\) −1.96011 −0.0794929
\(609\) 2.99334 + 0.595412i 0.121296 + 0.0241273i
\(610\) 9.92190 + 4.67503i 0.401726 + 0.189287i
\(611\) 10.1510i 0.410666i
\(612\) −11.8350 1.12958i −0.478400 0.0456605i
\(613\) −5.34975 + 5.34975i −0.216075 + 0.216075i −0.806842 0.590767i \(-0.798825\pi\)
0.590767 + 0.806842i \(0.298825\pi\)
\(614\) 5.11371 + 12.3456i 0.206372 + 0.498227i
\(615\) −1.98996 3.30910i −0.0802428 0.133436i
\(616\) 12.2498 12.2498i 0.493557 0.493557i
\(617\) 0.811211 4.07823i 0.0326581 0.164184i −0.961015 0.276498i \(-0.910826\pi\)
0.993673 + 0.112314i \(0.0358262\pi\)
\(618\) 1.20112 1.79760i 0.0483160 0.0723100i
\(619\) −15.1530 10.1249i −0.609052 0.406956i 0.212441 0.977174i \(-0.431859\pi\)
−0.821493 + 0.570218i \(0.806859\pi\)
\(620\) 7.22492 15.3336i 0.290160 0.615811i
\(621\) 2.90844 + 1.20471i 0.116712 + 0.0483435i
\(622\) −4.74929 23.8763i −0.190429 0.957352i
\(623\) −40.8766 27.3128i −1.63768 1.09427i
\(624\) −0.368376 0.551314i −0.0147468 0.0220702i
\(625\) −14.0102 20.7054i −0.560406 0.828218i
\(626\) 3.69489 18.5755i 0.147678 0.742426i
\(627\) −1.23463 + 2.98066i −0.0493063 + 0.119036i
\(628\) 3.57913 + 3.57913i 0.142823 + 0.142823i
\(629\) −4.66926 45.9842i −0.186176 1.83351i
\(630\) −1.10308 + 23.1416i −0.0439478 + 0.921985i
\(631\) −37.0346 + 15.3402i −1.47433 + 0.610685i −0.967841 0.251564i \(-0.919055\pi\)
−0.506484 + 0.862249i \(0.669055\pi\)
\(632\) −9.52560 14.2561i −0.378908 0.567076i
\(633\) 3.24816i 0.129103i
\(634\) −4.88172 + 3.26186i −0.193878 + 0.129545i
\(635\) 7.53712 10.1936i 0.299101 0.404522i
\(636\) −1.33802 + 2.00248i −0.0530557 + 0.0794035i
\(637\) 10.6074 4.39373i 0.420280 0.174086i
\(638\) −11.0814 + 4.59008i −0.438718 + 0.181723i
\(639\) −12.7257 + 19.0454i −0.503422 + 0.753424i
\(640\) −1.32941 + 1.79797i −0.0525494 + 0.0710708i
\(641\) −21.2435 + 14.1944i −0.839067 + 0.560646i −0.899197 0.437544i \(-0.855848\pi\)
0.0601302 + 0.998191i \(0.480848\pi\)
\(642\) 2.51465i 0.0992455i
\(643\) 9.80374 + 14.6723i 0.386622 + 0.578621i 0.972824 0.231544i \(-0.0743777\pi\)
−0.586203 + 0.810165i \(0.699378\pi\)
\(644\) −5.20300 + 2.15515i −0.205027 + 0.0849250i
\(645\) −0.181291 + 3.80331i −0.00713831 + 0.149755i
\(646\) −3.78817 + 7.13892i −0.149043 + 0.280877i
\(647\) 22.3536 + 22.3536i 0.878812 + 0.878812i 0.993412 0.114600i \(-0.0365585\pi\)
−0.114600 + 0.993412i \(0.536558\pi\)
\(648\) −3.04792 + 7.35833i −0.119734 + 0.289062i
\(649\) 0.339840 1.70849i 0.0133399 0.0670642i
\(650\) −7.48863 + 6.18236i −0.293728 + 0.242492i
\(651\) −5.16641 7.73208i −0.202488 0.303044i
\(652\) −6.19251 4.13770i −0.242517 0.162045i
\(653\) 4.36284 + 21.9335i 0.170731 + 0.858323i 0.967273 + 0.253739i \(0.0816604\pi\)
−0.796542 + 0.604584i \(0.793340\pi\)
\(654\) 2.85904 + 1.18426i 0.111797 + 0.0463080i
\(655\) 8.28783 17.5894i 0.323832 0.687275i
\(656\) 4.20569 + 2.81015i 0.164205 + 0.109718i
\(657\) −26.2409 + 39.2723i −1.02375 + 1.53216i
\(658\) −3.66392 + 18.4198i −0.142835 + 0.718078i
\(659\) 25.0220 25.0220i 0.974721 0.974721i −0.0249676 0.999688i \(-0.507948\pi\)
0.999688 + 0.0249676i \(0.00794825\pi\)
\(660\) 1.89673 + 3.15407i 0.0738301 + 0.122772i
\(661\) −4.80255 11.5944i −0.186797 0.450969i 0.802542 0.596595i \(-0.203480\pi\)
−0.989340 + 0.145626i \(0.953480\pi\)
\(662\) −10.8785 + 10.8785i −0.422803 + 0.422803i
\(663\) −2.71988 + 0.276178i −0.105631 + 0.0107259i
\(664\) 2.97227i 0.115347i
\(665\) 14.2468 + 6.71285i 0.552467 + 0.260313i
\(666\) −31.7028 6.30607i −1.22846 0.244355i
\(667\) 3.89921 0.150978
\(668\) −7.52766 1.49734i −0.291254 0.0579340i
\(669\) 0.0809844 + 0.407136i 0.00313104 + 0.0157408i
\(670\) −15.1045 + 20.4282i −0.583537 + 0.789209i
\(671\) −9.04983 + 21.8482i −0.349365 + 0.843441i
\(672\) 0.469455 + 1.13336i 0.0181096 + 0.0437204i
\(673\) −15.5611 + 3.09529i −0.599836 + 0.119315i −0.485663 0.874146i \(-0.661422\pi\)
−0.114173 + 0.993461i \(0.536422\pi\)
\(674\) 3.48702 0.693610i 0.134315 0.0267169i
\(675\) −9.61905 2.88733i −0.370238 0.111133i
\(676\) −6.52515 6.52515i −0.250967 0.250967i
\(677\) 21.5432 14.3947i 0.827972 0.553233i −0.0678245 0.997697i \(-0.521606\pi\)
0.895797 + 0.444464i \(0.146606\pi\)
\(678\) −4.48463 1.85759i −0.172231 0.0713405i
\(679\) 22.9480 0.880662
\(680\) 3.97913 + 8.31664i 0.152593 + 0.318929i
\(681\) −5.87520 −0.225138
\(682\) 33.7648 + 13.9858i 1.29292 + 0.535546i
\(683\) 2.25612 1.50749i 0.0863282 0.0576827i −0.511657 0.859190i \(-0.670968\pi\)
0.597985 + 0.801507i \(0.295968\pi\)
\(684\) 3.99647 + 3.99647i 0.152809 + 0.152809i
\(685\) 12.1854 + 3.03342i 0.465580 + 0.115901i
\(686\) 3.83579 0.762985i 0.146451 0.0291309i
\(687\) 3.53805 0.703762i 0.134985 0.0268502i
\(688\) −1.90873 4.60809i −0.0727698 0.175682i
\(689\) 5.24308 12.6579i 0.199745 0.482228i
\(690\) −0.177281 1.18325i −0.00674898 0.0450456i
\(691\) 2.82377 + 14.1960i 0.107421 + 0.540042i 0.996594 + 0.0824701i \(0.0262809\pi\)
−0.889172 + 0.457572i \(0.848719\pi\)
\(692\) 4.65265 + 0.925470i 0.176867 + 0.0351811i
\(693\) −49.9522 −1.89753
\(694\) 6.88437 + 1.36939i 0.261327 + 0.0519812i
\(695\) −7.59717 21.1355i −0.288177 0.801717i
\(696\) 0.849360i 0.0321949i
\(697\) 18.3629 9.88658i 0.695545 0.374481i
\(698\) 1.00033 1.00033i 0.0378632 0.0378632i
\(699\) 1.60728 + 3.88032i 0.0607930 + 0.146767i
\(700\) 15.8202 8.51542i 0.597946 0.321852i
\(701\) 33.9947 33.9947i 1.28396 1.28396i 0.345566 0.938394i \(-0.387687\pi\)
0.938394 0.345566i \(-0.112313\pi\)
\(702\) −0.761062 + 3.82612i −0.0287244 + 0.144407i
\(703\) −12.2076 + 18.2700i −0.460418 + 0.689065i
\(704\) −4.00866 2.67850i −0.151082 0.100950i
\(705\) −3.60937 1.70068i −0.135937 0.0640511i
\(706\) −14.6147 6.05360i −0.550031 0.227830i
\(707\) −2.10701 10.5926i −0.0792422 0.398377i
\(708\) 0.102564 + 0.0685313i 0.00385460 + 0.00257556i
\(709\) −21.5761 32.2910i −0.810309 1.21271i −0.974078 0.226214i \(-0.927365\pi\)
0.163769 0.986499i \(-0.447635\pi\)
\(710\) 17.7429 + 0.845740i 0.665878 + 0.0317401i
\(711\) −9.64497 + 48.4885i −0.361715 + 1.81846i
\(712\) −5.23574 + 12.6402i −0.196217 + 0.473711i
\(713\) −8.40098 8.40098i −0.314619 0.314619i
\(714\) 5.03511 + 0.480571i 0.188434 + 0.0179849i
\(715\) −14.0834 15.4932i −0.526690 0.579414i
\(716\) −5.12717 + 2.12374i −0.191611 + 0.0793680i
\(717\) −4.59746 6.88058i −0.171695 0.256960i
\(718\) 19.9100i 0.743035i
\(719\) −6.40695 + 4.28098i −0.238939 + 0.159654i −0.669275 0.743015i \(-0.733395\pi\)
0.430336 + 0.902669i \(0.358395\pi\)
\(720\) 6.37641 0.955348i 0.237635 0.0356037i
\(721\) 12.6419 18.9199i 0.470808 0.704613i
\(722\) −14.0041 + 5.80071i −0.521180 + 0.215880i
\(723\) 8.04409 3.33197i 0.299163 0.123917i
\(724\) −1.30172 + 1.94815i −0.0483779 + 0.0724026i
\(725\) −12.3758 + 1.25534i −0.459627 + 0.0466220i
\(726\) −3.47555 + 2.32229i −0.128990 + 0.0861883i
\(727\) 9.16941i 0.340075i 0.985438 + 0.170037i \(0.0543888\pi\)
−0.985438 + 0.170037i \(0.945611\pi\)
\(728\) −3.87719 5.80263i −0.143698 0.215060i
\(729\) 19.3167 8.00125i 0.715434 0.296342i
\(730\) 36.5864 + 1.74395i 1.35412 + 0.0645463i
\(731\) −20.4720 1.95393i −0.757186 0.0722689i
\(732\) −1.18412 1.18412i −0.0437664 0.0437664i
\(733\) 20.3250 49.0690i 0.750722 1.81240i 0.195496 0.980705i \(-0.437368\pi\)
0.555227 0.831699i \(-0.312632\pi\)
\(734\) −5.99119 + 30.1198i −0.221139 + 1.11174i
\(735\) 0.214869 4.50776i 0.00792557 0.166271i
\(736\) 0.870739 + 1.30315i 0.0320958 + 0.0480348i
\(737\) −45.5457 30.4327i −1.67770 1.12100i
\(738\) −2.84537 14.3046i −0.104739 0.526561i
\(739\) 0.826766 + 0.342458i 0.0304131 + 0.0125975i 0.397838 0.917456i \(-0.369761\pi\)
−0.367425 + 0.930053i \(0.619761\pi\)
\(740\) 8.47908 + 23.5890i 0.311697 + 0.867150i
\(741\) 1.08063 + 0.722057i 0.0396981 + 0.0265254i
\(742\) −14.0827 + 21.0763i −0.516993 + 0.773735i
\(743\) 6.89251 34.6510i 0.252862 1.27122i −0.620522 0.784189i \(-0.713079\pi\)
0.873384 0.487033i \(-0.161921\pi\)
\(744\) −1.82998 + 1.82998i −0.0670901 + 0.0670901i
\(745\) −7.41425 + 29.7834i −0.271637 + 1.09118i
\(746\) −9.08256 21.9272i −0.332536 0.802813i
\(747\) 6.06018 6.06018i 0.221730 0.221730i
\(748\) −17.5026 + 9.42341i −0.639960 + 0.344554i
\(749\) 26.4670i 0.967082i
\(750\) 0.943623 + 3.69849i 0.0344562 + 0.135050i
\(751\) −0.624091 0.124139i −0.0227734 0.00452991i 0.183690 0.982984i \(-0.441196\pi\)
−0.206464 + 0.978454i \(0.566196\pi\)
\(752\) 5.22662 0.190595
\(753\) −9.95971 1.98111i −0.362952 0.0721957i
\(754\) 0.942653 + 4.73904i 0.0343294 + 0.172586i
\(755\) 43.8335 + 32.4103i 1.59527 + 1.17953i
\(756\) 2.76201 6.66808i 0.100453 0.242516i
\(757\) 10.7817 + 26.0293i 0.391868 + 0.946052i 0.989533 + 0.144307i \(0.0460952\pi\)
−0.597665 + 0.801746i \(0.703905\pi\)
\(758\) 25.6836 5.10878i 0.932870 0.185559i
\(759\) 2.53011 0.503270i 0.0918372 0.0182676i
\(760\) 1.05877 4.25313i 0.0384057 0.154277i
\(761\) 25.9017 + 25.9017i 0.938936 + 0.938936i 0.998240 0.0593040i \(-0.0188881\pi\)
−0.0593040 + 0.998240i \(0.518888\pi\)
\(762\) −1.60938 + 1.07535i −0.0583016 + 0.0389559i
\(763\) 30.0917 + 12.4644i 1.08939 + 0.451241i
\(764\) 12.3090 0.445324
\(765\) 8.84378 25.0699i 0.319747 0.906404i
\(766\) 7.04841 0.254669
\(767\) −0.648321 0.268543i −0.0234095 0.00969654i
\(768\) 0.283864 0.189672i 0.0102431 0.00684419i
\(769\) −15.4402 15.4402i −0.556788 0.556788i 0.371604 0.928392i \(-0.378808\pi\)
−0.928392 + 0.371604i \(0.878808\pi\)
\(770\) 19.9633 + 33.1969i 0.719426 + 1.19633i
\(771\) 2.48495 0.494287i 0.0894932 0.0178013i
\(772\) −2.83733 + 0.564379i −0.102118 + 0.0203125i
\(773\) −12.1023 29.2176i −0.435290 1.05088i −0.977556 0.210676i \(-0.932434\pi\)
0.542266 0.840207i \(-0.317566\pi\)
\(774\) −5.50373 + 13.2872i −0.197828 + 0.477598i
\(775\) 29.3689 + 23.9595i 1.05496 + 0.860652i
\(776\) −1.24592 6.26366i −0.0447259 0.224852i
\(777\) 13.4877 + 2.68288i 0.483870 + 0.0962477i
\(778\) 31.4753 1.12845
\(779\) −9.72400 1.93422i −0.348398 0.0693008i
\(780\) 1.39525 0.501522i 0.0499579 0.0179574i
\(781\) 38.2987i 1.37044i
\(782\) 6.42904 0.652808i 0.229902 0.0233444i
\(783\) −3.53353 + 3.53353i −0.126278 + 0.126278i
\(784\) 2.26227 + 5.46160i 0.0807953 + 0.195057i
\(785\) −9.69946 + 5.83286i −0.346188 + 0.208184i
\(786\) −2.09920 + 2.09920i −0.0748759 + 0.0748759i
\(787\) −5.00006 + 25.1370i −0.178233 + 0.896038i 0.783362 + 0.621566i \(0.213503\pi\)
−0.961595 + 0.274472i \(0.911497\pi\)
\(788\) 7.91057 11.8390i 0.281802 0.421747i
\(789\) 4.79239 + 3.20217i 0.170614 + 0.114000i
\(790\) 36.0788 12.9685i 1.28363 0.461399i
\(791\) −47.2011 19.5514i −1.67828 0.695166i
\(792\) 2.71207 + 13.6345i 0.0963691 + 0.484480i
\(793\) 7.92105 + 5.29268i 0.281285 + 0.187948i
\(794\) 14.5586 + 21.7885i 0.516665 + 0.773244i
\(795\) −3.62233 3.98494i −0.128471 0.141331i
\(796\) −2.71959 + 13.6723i −0.0963933 + 0.484602i
\(797\) −17.8516 + 43.0976i −0.632337 + 1.52660i 0.204341 + 0.978900i \(0.434495\pi\)
−0.836678 + 0.547696i \(0.815505\pi\)
\(798\) −1.70027 1.70027i −0.0601890 0.0601890i
\(799\) 10.1011 19.0359i 0.357352 0.673441i
\(800\) −3.18322 3.85579i −0.112544 0.136323i
\(801\) 36.4473 15.0970i 1.28780 0.533425i
\(802\) −9.38346 14.0433i −0.331341 0.495887i
\(803\) 78.9734i 2.78691i
\(804\) 3.22521 2.15502i 0.113745 0.0760017i
\(805\) −1.86590 12.4538i −0.0657643 0.438940i
\(806\) 8.17945 12.2414i 0.288109 0.431185i
\(807\) −7.57457 + 3.13749i −0.266638 + 0.110445i
\(808\) −2.77687 + 1.15022i −0.0976900 + 0.0404645i
\(809\) −17.4188 + 26.0690i −0.612411 + 0.916537i −0.999986 0.00530074i \(-0.998313\pi\)
0.387575 + 0.921838i \(0.373313\pi\)
\(810\) −14.3201 10.5882i −0.503156 0.372031i
\(811\) 43.3535 28.9679i 1.52235 1.01720i 0.537602 0.843199i \(-0.319330\pi\)
0.984745 0.174001i \(-0.0556696\pi\)
\(812\) 8.93959i 0.313718i
\(813\) 0.587226 + 0.878846i 0.0205949 + 0.0308225i
\(814\) −49.9321 + 20.6825i −1.75012 + 0.724923i
\(815\) 12.3231 11.2018i 0.431660 0.392381i
\(816\) −0.142200 1.40043i −0.00497801 0.0490248i
\(817\) 6.91307 + 6.91307i 0.241858 + 0.241858i
\(818\) −5.42786 + 13.1040i −0.189781 + 0.458171i
\(819\) −3.92578 + 19.7362i −0.137178 + 0.689640i
\(820\) −8.36934 + 7.60777i −0.292270 + 0.265675i
\(821\) −18.5846 27.8138i −0.648607 0.970708i −0.999413 0.0342603i \(-0.989092\pi\)
0.350806 0.936448i \(-0.385908\pi\)
\(822\) −1.59412 1.06516i −0.0556013 0.0371516i
\(823\) −3.12617 15.7163i −0.108972 0.547837i −0.996244 0.0865913i \(-0.972403\pi\)
0.887272 0.461246i \(-0.152597\pi\)
\(824\) −5.85056 2.42338i −0.203814 0.0844225i
\(825\) −7.86839 + 2.41191i −0.273942 + 0.0839719i
\(826\) 1.07950 + 0.721298i 0.0375606 + 0.0250972i
\(827\) −10.4147 + 15.5868i −0.362156 + 0.542005i −0.967144 0.254230i \(-0.918178\pi\)
0.604988 + 0.796235i \(0.293178\pi\)
\(828\) 0.881650 4.43236i 0.0306395 0.154035i
\(829\) 33.9039 33.9039i 1.17753 1.17753i 0.197158 0.980372i \(-0.436829\pi\)
0.980372 0.197158i \(-0.0631713\pi\)
\(830\) −6.44937 1.60550i −0.223861 0.0557277i
\(831\) 1.38711 + 3.34877i 0.0481182 + 0.116168i
\(832\) −1.37333 + 1.37333i −0.0476115 + 0.0476115i
\(833\) 24.2639 + 2.31584i 0.840693 + 0.0802392i
\(834\) 3.42909i 0.118740i
\(835\) 7.31514 15.5251i 0.253151 0.537267i
\(836\) 9.26844 + 1.84361i 0.320556 + 0.0637625i
\(837\) 15.2262 0.526295
\(838\) 7.69999 + 1.53162i 0.265992 + 0.0529090i
\(839\) 2.83103 + 14.2325i 0.0977380 + 0.491362i 0.998385 + 0.0568105i \(0.0180931\pi\)
−0.900647 + 0.434551i \(0.856907\pi\)
\(840\) −2.71280 + 0.406447i −0.0936006 + 0.0140237i
\(841\) 8.72920 21.0742i 0.301007 0.726695i
\(842\) 4.51019 + 10.8886i 0.155431 + 0.375245i
\(843\) 5.83359 1.16037i 0.200920 0.0399654i
\(844\) 9.33142 1.85613i 0.321201 0.0638908i
\(845\) 17.6832 10.6339i 0.608320 0.365819i
\(846\) −10.6566 10.6566i −0.366380 0.366380i
\(847\) −36.5805 + 24.4423i −1.25692 + 0.839848i
\(848\) 6.51739 + 2.69959i 0.223808 + 0.0927043i
\(849\) 1.17465 0.0403140
\(850\) −20.1952 + 4.14178i −0.692689 + 0.142062i
\(851\) 17.5695 0.602276
\(852\) −2.50559 1.03785i −0.0858403 0.0355562i
\(853\) −23.2745 + 15.5515i −0.796903 + 0.532474i −0.886075 0.463543i \(-0.846578\pi\)
0.0891716 + 0.996016i \(0.471578\pi\)
\(854\) −12.4630 12.4630i −0.426475 0.426475i
\(855\) −10.8305 + 6.51299i −0.370394 + 0.222740i
\(856\) −7.22418 + 1.43698i −0.246917 + 0.0491149i
\(857\) −39.8460 + 7.92585i −1.36111 + 0.270742i −0.821037 0.570875i \(-0.806604\pi\)
−0.540075 + 0.841617i \(0.681604\pi\)
\(858\) 1.22333 + 2.95339i 0.0417639 + 0.100827i
\(859\) 17.9558 43.3492i 0.612645 1.47906i −0.247438 0.968904i \(-0.579589\pi\)
0.860083 0.510153i \(-0.170411\pi\)
\(860\) 11.0299 1.65255i 0.376115 0.0563516i
\(861\) 1.21054 + 6.08582i 0.0412552 + 0.207404i
\(862\) 12.7486 + 2.53586i 0.434220 + 0.0863717i
\(863\) −24.4153 −0.831108 −0.415554 0.909569i \(-0.636412\pi\)
−0.415554 + 0.909569i \(0.636412\pi\)
\(864\) −1.97002 0.391860i −0.0670213 0.0133314i
\(865\) −4.52130 + 9.59563i −0.153729 + 0.326261i
\(866\) 23.5893i 0.801595i
\(867\) −5.37533 2.18860i −0.182556 0.0743289i
\(868\) −19.2607 + 19.2607i −0.653750 + 0.653750i
\(869\) 31.6334 + 76.3698i 1.07309 + 2.59067i
\(870\) 1.84298 + 0.458790i 0.0624828 + 0.0155544i
\(871\) −15.6035 + 15.6035i −0.528704 + 0.528704i
\(872\) 1.76839 8.89028i 0.0598852 0.301063i
\(873\) −10.2307 + 15.3113i −0.346256 + 0.518209i
\(874\) −2.55432 1.70674i −0.0864011 0.0577314i
\(875\) 9.93172 + 38.9270i 0.335753 + 1.31597i
\(876\) −5.16663 2.14009i −0.174564 0.0723068i
\(877\) 6.53853 + 32.8714i 0.220790 + 1.10999i 0.919049 + 0.394143i \(0.128959\pi\)
−0.698259 + 0.715846i \(0.746041\pi\)
\(878\) −16.3709 10.9387i −0.552490 0.369162i
\(879\) −0.572783 0.857230i −0.0193195 0.0289137i
\(880\) 7.97725 7.25135i 0.268913 0.244443i
\(881\) 6.19893 31.1641i 0.208847 1.04995i −0.724035 0.689764i \(-0.757714\pi\)
0.932882 0.360182i \(-0.117286\pi\)
\(882\) 6.52313 15.7482i 0.219645 0.530271i
\(883\) −21.7415 21.7415i −0.731658 0.731658i 0.239290 0.970948i \(-0.423085\pi\)
−0.970948 + 0.239290i \(0.923085\pi\)
\(884\) 2.34766 + 7.65593i 0.0789605 + 0.257497i
\(885\) −0.204103 + 0.185531i −0.00686086 + 0.00623655i
\(886\) 19.9904 8.28028i 0.671589 0.278181i
\(887\) 7.81041 + 11.6891i 0.262248 + 0.392482i 0.939104 0.343634i \(-0.111658\pi\)
−0.676856 + 0.736116i \(0.736658\pi\)
\(888\) 3.82715i 0.128431i
\(889\) −16.9388 + 11.3182i −0.568111 + 0.379599i
\(890\) −24.5991 18.1884i −0.824564 0.609678i
\(891\) 21.3332 31.9274i 0.714688 1.06961i
\(892\) 1.12336 0.465309i 0.0376127 0.0155797i
\(893\) −9.46490 + 3.92049i −0.316731 + 0.131194i
\(894\) 2.60344 3.89633i 0.0870722 0.130313i
\(895\) −1.83870 12.2723i −0.0614611 0.410218i
\(896\) 2.98770 1.99631i 0.0998119 0.0666922i
\(897\) 1.03921i 0.0346981i
\(898\) 18.8317 + 28.1837i 0.628423 + 0.940502i
\(899\) 17.4237 7.21712i 0.581111 0.240704i
\(900\) −1.37132 + 14.3519i −0.0457107 + 0.478395i
\(901\) 22.4279 18.5197i 0.747182 0.616981i
\(902\) −17.2436 17.2436i −0.574150 0.574150i
\(903\) 2.34153 5.65295i 0.0779212 0.188118i
\(904\) −2.77385 + 13.9451i −0.0922569 + 0.463807i
\(905\) −3.52406 3.87684i −0.117144 0.128870i
\(906\) −4.62411 6.92047i −0.153626 0.229917i
\(907\) 38.7100 + 25.8652i 1.28534 + 0.858839i 0.995173 0.0981359i \(-0.0312880\pi\)
0.290170 + 0.956975i \(0.406288\pi\)
\(908\) 3.35733 + 16.8784i 0.111417 + 0.560131i
\(909\) 8.00696 + 3.31659i 0.265574 + 0.110004i
\(910\) 14.6851 5.27856i 0.486807 0.174983i
\(911\) −26.9087 17.9798i −0.891524 0.595697i 0.0232204 0.999730i \(-0.492608\pi\)
−0.914744 + 0.404033i \(0.867608\pi\)
\(912\) −0.371777 + 0.556404i −0.0123108 + 0.0184244i
\(913\) 2.79561 14.0545i 0.0925213 0.465136i
\(914\) 4.92611 4.92611i 0.162941 0.162941i
\(915\) 3.20898 1.92975i 0.106086 0.0637955i
\(916\) −4.04358 9.76206i −0.133604 0.322547i
\(917\) −22.0942 + 22.0942i −0.729616 + 0.729616i
\(918\) −5.23451 + 6.41768i −0.172765 + 0.211815i
\(919\) 4.92062i 0.162316i 0.996701 + 0.0811581i \(0.0258619\pi\)
−0.996701 + 0.0811581i \(0.974138\pi\)
\(920\) −3.29798 + 1.18546i −0.108731 + 0.0390834i
\(921\) 4.47439 + 0.890012i 0.147436 + 0.0293269i
\(922\) 9.26546 0.305142
\(923\) 15.1319 + 3.00993i 0.498073 + 0.0990729i
\(924\) −1.15383 5.80070i −0.0379583 0.190829i
\(925\) −55.7646 + 5.65645i −1.83353 + 0.185983i
\(926\) 1.52082 3.67159i 0.0499774 0.120656i
\(927\) 6.98769 + 16.8698i 0.229506 + 0.554076i
\(928\) −2.44007 + 0.485359i −0.0800991 + 0.0159327i
\(929\) 36.2635 7.21326i 1.18977 0.236659i 0.439776 0.898108i \(-0.355058\pi\)
0.749991 + 0.661448i \(0.230058\pi\)
\(930\) −2.98228 4.95924i −0.0977930 0.162620i
\(931\) −8.19351 8.19351i −0.268531 0.268531i
\(932\) 10.2290 6.83483i 0.335063 0.223882i
\(933\) −7.67843 3.18051i −0.251380 0.104125i
\(934\) −19.2919 −0.631250
\(935\) −10.9931 43.0682i −0.359513 1.40848i
\(936\) 5.60016 0.183047
\(937\) −15.5299 6.43270i −0.507340 0.210147i 0.114306 0.993446i \(-0.463536\pi\)
−0.621646 + 0.783299i \(0.713536\pi\)
\(938\) 33.9457 22.6818i 1.10837 0.740587i
\(939\) −4.57209 4.57209i −0.149205 0.149205i
\(940\) −2.82321 + 11.3409i −0.0920828 + 0.369901i
\(941\) −3.21281 + 0.639067i −0.104735 + 0.0208330i −0.247179 0.968970i \(-0.579504\pi\)
0.142445 + 0.989803i \(0.454504\pi\)
\(942\) 1.69485 0.337126i 0.0552211 0.0109842i
\(943\) 3.03375 + 7.32411i 0.0987924 + 0.238506i
\(944\) 0.138269 0.333812i 0.00450028 0.0108646i
\(945\) 12.9768 + 9.59496i 0.422135 + 0.312124i
\(946\) 4.69131 + 23.5848i 0.152528 + 0.766809i
\(947\) −25.7442 5.12084i −0.836574 0.166405i −0.241829 0.970319i \(-0.577747\pi\)
−0.594746 + 0.803914i \(0.702747\pi\)
\(948\) −5.85352 −0.190114
\(949\) 31.2026 + 6.20658i 1.01288 + 0.201474i
\(950\) 8.65673 + 4.59474i 0.280861 + 0.149073i
\(951\) 2.00443i 0.0649981i
\(952\) −1.49667 14.7396i −0.0485074 0.477715i
\(953\) 6.27140 6.27140i 0.203151 0.203151i −0.598198 0.801348i \(-0.704116\pi\)
0.801348 + 0.598198i \(0.204116\pi\)
\(954\) −7.78412 18.7925i −0.252020 0.608431i
\(955\) −6.64882 + 26.7086i −0.215151 + 0.864270i
\(956\) −17.1396 + 17.1396i −0.554333 + 0.554333i
\(957\) −0.798877 + 4.01623i −0.0258240 + 0.129826i
\(958\) 1.37988 2.06514i 0.0445819 0.0667216i
\(959\) −16.7783 11.2109i −0.541799 0.362018i
\(960\) 0.258227 + 0.718394i 0.00833423 + 0.0231861i
\(961\) −24.4492 10.1272i −0.788682 0.326683i
\(962\) 4.24752 + 21.3537i 0.136946 + 0.688472i
\(963\) 17.6593 + 11.7995i 0.569062 + 0.380235i
\(964\) −14.1689 21.2053i −0.456350 0.682976i
\(965\) 0.307993 6.46141i 0.00991464 0.208000i
\(966\) −0.375093 + 1.88572i −0.0120684 + 0.0606720i
\(967\) 5.40483 13.0484i 0.173807 0.419608i −0.812838 0.582490i \(-0.802079\pi\)
0.986646 + 0.162881i \(0.0520787\pi\)
\(968\) 8.65762 + 8.65762i 0.278266 + 0.278266i
\(969\) 1.30797 + 2.42938i 0.0420182 + 0.0780428i
\(970\) 14.2642 + 0.679923i 0.457995 + 0.0218310i
\(971\) −1.56138 + 0.646745i −0.0501071 + 0.0207550i −0.407596 0.913162i \(-0.633633\pi\)
0.357489 + 0.933917i \(0.383633\pi\)
\(972\) 4.85843 + 7.27116i 0.155834 + 0.233222i
\(973\) 36.0915i 1.15704i
\(974\) 30.6486 20.4787i 0.982043 0.656180i
\(975\) 0.334569 + 3.29837i 0.0107148 + 0.105632i
\(976\) −2.72513 + 4.07844i −0.0872292 + 0.130548i
\(977\) 2.65820 1.10106i 0.0850435 0.0352262i −0.339756 0.940514i \(-0.610345\pi\)
0.424800 + 0.905287i \(0.360345\pi\)
\(978\) −2.34909 + 0.973024i −0.0751156 + 0.0311139i
\(979\) 36.6463 54.8450i 1.17122 1.75285i
\(980\) −13.0728 + 1.95864i −0.417596 + 0.0625664i
\(981\) −21.7320 + 14.5209i −0.693850 + 0.463615i
\(982\) 16.6599i 0.531639i
\(983\) −25.3995 38.0131i −0.810120 1.21243i −0.974134 0.225972i \(-0.927444\pi\)
0.164014 0.986458i \(-0.447556\pi\)
\(984\) 1.59540 0.660837i 0.0508596 0.0210667i
\(985\) 21.4158 + 23.5597i 0.682365 + 0.750673i
\(986\) −2.94802 + 9.82500i −0.0938841 + 0.312892i
\(987\) 4.53377 + 4.53377i 0.144312 + 0.144312i
\(988\) 1.45683 3.51709i 0.0463479 0.111894i
\(989\) 1.52507 7.66706i 0.0484945 0.243798i
\(990\) −31.0497 1.48003i −0.986823 0.0470384i
\(991\) −6.63121 9.92431i −0.210647 0.315256i 0.711068 0.703123i \(-0.248212\pi\)
−0.921715 + 0.387867i \(0.873212\pi\)
\(992\) 6.30293 + 4.21149i 0.200118 + 0.133715i
\(993\) 1.02466 + 5.15134i 0.0325167 + 0.163473i
\(994\) −26.3716 10.9235i −0.836457 0.346472i
\(995\) −28.1978 13.2863i −0.893929 0.421204i
\(996\) 0.843721 + 0.563756i 0.0267343 + 0.0178633i
\(997\) 24.8887 37.2486i 0.788234 1.17968i −0.191914 0.981412i \(-0.561470\pi\)
0.980149 0.198264i \(-0.0635305\pi\)
\(998\) −2.15278 + 10.8228i −0.0681452 + 0.342589i
\(999\) −15.9218 + 15.9218i −0.503743 + 0.503743i
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 170.2.r.a.37.3 yes 32
5.2 odd 4 850.2.s.c.343.2 32
5.3 odd 4 170.2.o.a.3.3 32
5.4 even 2 850.2.v.c.207.2 32
17.6 odd 16 170.2.o.a.57.3 yes 32
85.23 even 16 inner 170.2.r.a.23.3 yes 32
85.57 even 16 850.2.v.c.193.2 32
85.74 odd 16 850.2.s.c.57.2 32
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
170.2.o.a.3.3 32 5.3 odd 4
170.2.o.a.57.3 yes 32 17.6 odd 16
170.2.r.a.23.3 yes 32 85.23 even 16 inner
170.2.r.a.37.3 yes 32 1.1 even 1 trivial
850.2.s.c.57.2 32 85.74 odd 16
850.2.s.c.343.2 32 5.2 odd 4
850.2.v.c.193.2 32 85.57 even 16
850.2.v.c.207.2 32 5.4 even 2