Properties

Label 170.2.o.a.63.2
Level $170$
Weight $2$
Character 170.63
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(3,170)]
 
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, 1]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("170.3");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 170 = 2 \cdot 5 \cdot 17 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 170.o (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 63.2
Character \(\chi\) \(=\) 170.63
Dual form 170.2.o.a.27.2

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(0.923880 + 0.382683i) q^{2} +(0.0811867 + 0.0161490i) q^{3} +(0.707107 + 0.707107i) q^{4} +(1.07264 + 1.96200i) q^{5} +(0.0688268 + 0.0459886i) q^{6} +(0.143301 - 0.214466i) q^{7} +(0.382683 + 0.923880i) q^{8} +(-2.76531 - 1.14543i) q^{9} +O(q^{10})\) \(q+(0.923880 + 0.382683i) q^{2} +(0.0811867 + 0.0161490i) q^{3} +(0.707107 + 0.707107i) q^{4} +(1.07264 + 1.96200i) q^{5} +(0.0688268 + 0.0459886i) q^{6} +(0.143301 - 0.214466i) q^{7} +(0.382683 + 0.923880i) q^{8} +(-2.76531 - 1.14543i) q^{9} +(0.240162 + 2.22313i) q^{10} +(0.818144 - 1.22444i) q^{11} +(0.0459886 + 0.0688268i) q^{12} -0.161672i q^{13} +(0.214466 - 0.143301i) q^{14} +(0.0553994 + 0.176610i) q^{15} +1.00000i q^{16} +(4.08463 - 0.561984i) q^{17} +(-2.11648 - 2.11648i) q^{18} +(-1.05460 + 0.436830i) q^{19} +(-0.628876 + 2.14581i) q^{20} +(0.0150976 - 0.0150976i) q^{21} +(1.22444 - 0.818144i) q^{22} +(-1.45697 - 7.32467i) q^{23} +(0.0161490 + 0.0811867i) q^{24} +(-2.69890 + 4.20903i) q^{25} +(0.0618692 - 0.149365i) q^{26} +(-0.412489 - 0.275616i) q^{27} +(0.252980 - 0.0503208i) q^{28} +(-5.25145 - 1.04458i) q^{29} +(-0.0164035 + 0.184367i) q^{30} +(-4.63969 - 6.94378i) q^{31} +(-0.382683 + 0.923880i) q^{32} +(0.0861960 - 0.0861960i) q^{33} +(3.98876 + 1.04391i) q^{34} +(0.574493 + 0.0511137i) q^{35} +(-1.14543 - 2.76531i) q^{36} +(-1.08861 + 5.47282i) q^{37} -1.14149 q^{38} +(0.00261085 - 0.0131256i) q^{39} +(-1.40217 + 1.74181i) q^{40} +(-5.60719 + 1.11534i) q^{41} +(0.0197260 - 0.00817076i) q^{42} +(1.92666 - 0.798049i) q^{43} +(1.44433 - 0.287294i) q^{44} +(-0.718840 - 6.65417i) q^{45} +(1.45697 - 7.32467i) q^{46} +9.14279 q^{47} +(-0.0161490 + 0.0811867i) q^{48} +(2.65332 + 6.40569i) q^{49} +(-4.10418 + 2.85581i) q^{50} +(0.340693 + 0.0203372i) q^{51} +(0.114319 - 0.114319i) q^{52} +(0.350113 - 0.845248i) q^{53} +(-0.275616 - 0.412489i) q^{54} +(3.27992 + 0.291821i) q^{55} +(0.252980 + 0.0503208i) q^{56} +(-0.0926740 + 0.0184340i) q^{57} +(-4.45197 - 2.97471i) q^{58} +(0.837319 - 2.02147i) q^{59} +(-0.0857092 + 0.164056i) q^{60} +(0.778223 + 3.91239i) q^{61} +(-1.62924 - 8.19075i) q^{62} +(-0.641928 + 0.428923i) q^{63} +(-0.707107 + 0.707107i) q^{64} +(0.317201 - 0.173415i) q^{65} +(0.112620 - 0.0466489i) q^{66} +(8.09542 + 8.09542i) q^{67} +(3.28565 + 2.49088i) q^{68} -0.618195i q^{69} +(0.511202 + 0.267072i) q^{70} +(-8.03206 + 5.36685i) q^{71} -2.99315i q^{72} +(1.72842 + 2.58676i) q^{73} +(-3.10010 + 4.63963i) q^{74} +(-0.287087 + 0.298133i) q^{75} +(-1.05460 - 0.436830i) q^{76} +(-0.145359 - 0.350928i) q^{77} +(0.00743506 - 0.0111274i) q^{78} +(-0.595727 - 0.398052i) q^{79} +(-1.96200 + 1.07264i) q^{80} +(6.32039 + 6.32039i) q^{81} +(-5.60719 - 1.11534i) q^{82} +(2.66230 + 1.10276i) q^{83} +0.0213512 q^{84} +(5.48393 + 7.41124i) q^{85} +2.08540 q^{86} +(-0.409479 - 0.169612i) q^{87} +(1.44433 + 0.287294i) q^{88} +(-9.97105 - 9.97105i) q^{89} +(1.88232 - 6.42274i) q^{90} +(-0.0346731 - 0.0231678i) q^{91} +(4.14909 - 6.20956i) q^{92} +(-0.264545 - 0.638669i) q^{93} +(8.44683 + 3.49879i) q^{94} +(-1.98827 - 1.60057i) q^{95} +(-0.0459886 + 0.0688268i) q^{96} +(-1.95963 - 2.93279i) q^{97} +6.93347i q^{98} +(-3.66493 + 2.44883i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 32 q+O(q^{10}) \) Copy content Toggle raw display \( 32 q + 8 q^{10} - 40 q^{15} + 16 q^{18} + 8 q^{20} - 8 q^{25} + 8 q^{26} - 72 q^{27} + 8 q^{28} + 8 q^{29} - 16 q^{31} - 64 q^{33} - 24 q^{34} + 32 q^{35} + 16 q^{37} + 32 q^{39} - 8 q^{40} + 16 q^{41} - 40 q^{42} + 48 q^{43} + 16 q^{44} + 24 q^{45} - 64 q^{47} + 16 q^{49} + 32 q^{50} + 32 q^{51} - 16 q^{52} - 24 q^{54} + 8 q^{55} + 8 q^{56} - 8 q^{57} - 16 q^{58} + 64 q^{59} - 48 q^{60} - 24 q^{61} - 24 q^{62} - 24 q^{63} - 16 q^{65} - 16 q^{67} - 16 q^{68} + 24 q^{70} + 8 q^{71} + 16 q^{73} - 8 q^{74} - 8 q^{75} + 40 q^{77} + 48 q^{78} - 72 q^{79} + 8 q^{80} + 48 q^{81} + 16 q^{82} + 16 q^{83} - 8 q^{85} - 64 q^{86} + 24 q^{87} + 16 q^{88} - 16 q^{89} + 48 q^{90} + 48 q^{91} + 8 q^{92} + 8 q^{93} - 8 q^{94} + 40 q^{95} + 16 q^{97} + 64 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

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

\(n\) \(71\) \(137\)
\(\chi(n)\) \(e\left(\frac{13}{16}\right)\) \(e\left(\frac{3}{4}\right)\)

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
\(3\) 0.0811867 + 0.0161490i 0.0468732 + 0.00932365i 0.218471 0.975843i \(-0.429893\pi\)
−0.171598 + 0.985167i \(0.554893\pi\)
\(4\) 0.707107 + 0.707107i 0.353553 + 0.353553i
\(5\) 1.07264 + 1.96200i 0.479698 + 0.877434i
\(6\) 0.0688268 + 0.0459886i 0.0280984 + 0.0187748i
\(7\) 0.143301 0.214466i 0.0541629 0.0810605i −0.803400 0.595440i \(-0.796978\pi\)
0.857563 + 0.514380i \(0.171978\pi\)
\(8\) 0.382683 + 0.923880i 0.135299 + 0.326641i
\(9\) −2.76531 1.14543i −0.921769 0.381809i
\(10\) 0.240162 + 2.22313i 0.0759459 + 0.703017i
\(11\) 0.818144 1.22444i 0.246680 0.369182i −0.687381 0.726297i \(-0.741240\pi\)
0.934060 + 0.357115i \(0.116240\pi\)
\(12\) 0.0459886 + 0.0688268i 0.0132758 + 0.0198686i
\(13\) 0.161672i 0.0448397i −0.999749 0.0224199i \(-0.992863\pi\)
0.999749 0.0224199i \(-0.00713707\pi\)
\(14\) 0.214466 0.143301i 0.0573184 0.0382989i
\(15\) 0.0553994 + 0.176610i 0.0143041 + 0.0456006i
\(16\) 1.00000i 0.250000i
\(17\) 4.08463 0.561984i 0.990667 0.136301i
\(18\) −2.11648 2.11648i −0.498858 0.498858i
\(19\) −1.05460 + 0.436830i −0.241942 + 0.100216i −0.500360 0.865818i \(-0.666799\pi\)
0.258418 + 0.966033i \(0.416799\pi\)
\(20\) −0.628876 + 2.14581i −0.140621 + 0.479818i
\(21\) 0.0150976 0.0150976i 0.00329456 0.00329456i
\(22\) 1.22444 0.818144i 0.261051 0.174429i
\(23\) −1.45697 7.32467i −0.303799 1.52730i −0.767349 0.641229i \(-0.778425\pi\)
0.463551 0.886070i \(-0.346575\pi\)
\(24\) 0.0161490 + 0.0811867i 0.00329641 + 0.0165722i
\(25\) −2.69890 + 4.20903i −0.539780 + 0.841806i
\(26\) 0.0618692 0.149365i 0.0121335 0.0292930i
\(27\) −0.412489 0.275616i −0.0793835 0.0530424i
\(28\) 0.252980 0.0503208i 0.0478087 0.00950973i
\(29\) −5.25145 1.04458i −0.975170 0.193973i −0.318311 0.947986i \(-0.603116\pi\)
−0.656860 + 0.754013i \(0.728116\pi\)
\(30\) −0.0164035 + 0.184367i −0.00299486 + 0.0336607i
\(31\) −4.63969 6.94378i −0.833312 1.24714i −0.966658 0.256070i \(-0.917572\pi\)
0.133346 0.991070i \(-0.457428\pi\)
\(32\) −0.382683 + 0.923880i −0.0676495 + 0.163320i
\(33\) 0.0861960 0.0861960i 0.0150048 0.0150048i
\(34\) 3.98876 + 1.04391i 0.684068 + 0.179030i
\(35\) 0.574493 + 0.0511137i 0.0971070 + 0.00863979i
\(36\) −1.14543 2.76531i −0.190905 0.460885i
\(37\) −1.08861 + 5.47282i −0.178967 + 0.899726i 0.782046 + 0.623221i \(0.214176\pi\)
−0.961012 + 0.276505i \(0.910824\pi\)
\(38\) −1.14149 −0.185175
\(39\) 0.00261085 0.0131256i 0.000418070 0.00210178i
\(40\) −1.40217 + 1.74181i −0.221703 + 0.275405i
\(41\) −5.60719 + 1.11534i −0.875697 + 0.174187i −0.612419 0.790533i \(-0.709803\pi\)
−0.263277 + 0.964720i \(0.584803\pi\)
\(42\) 0.0197260 0.00817076i 0.00304378 0.00126078i
\(43\) 1.92666 0.798049i 0.293813 0.121701i −0.230908 0.972976i \(-0.574170\pi\)
0.524721 + 0.851274i \(0.324170\pi\)
\(44\) 1.44433 0.287294i 0.217740 0.0433112i
\(45\) −0.718840 6.65417i −0.107158 0.991945i
\(46\) 1.45697 7.32467i 0.214818 1.07996i
\(47\) 9.14279 1.33361 0.666806 0.745231i \(-0.267661\pi\)
0.666806 + 0.745231i \(0.267661\pi\)
\(48\) −0.0161490 + 0.0811867i −0.00233091 + 0.0117183i
\(49\) 2.65332 + 6.40569i 0.379046 + 0.915099i
\(50\) −4.10418 + 2.85581i −0.580419 + 0.403873i
\(51\) 0.340693 + 0.0203372i 0.0477065 + 0.00284778i
\(52\) 0.114319 0.114319i 0.0158532 0.0158532i
\(53\) 0.350113 0.845248i 0.0480917 0.116104i −0.898008 0.439979i \(-0.854986\pi\)
0.946100 + 0.323875i \(0.104986\pi\)
\(54\) −0.275616 0.412489i −0.0375066 0.0561326i
\(55\) 3.27992 + 0.291821i 0.442265 + 0.0393492i
\(56\) 0.252980 + 0.0503208i 0.0338058 + 0.00672440i
\(57\) −0.0926740 + 0.0184340i −0.0122750 + 0.00244164i
\(58\) −4.45197 2.97471i −0.584572 0.390598i
\(59\) 0.837319 2.02147i 0.109010 0.263173i −0.859956 0.510368i \(-0.829509\pi\)
0.968966 + 0.247196i \(0.0795090\pi\)
\(60\) −0.0857092 + 0.164056i −0.0110650 + 0.0211795i
\(61\) 0.778223 + 3.91239i 0.0996413 + 0.500931i 0.998086 + 0.0618436i \(0.0196980\pi\)
−0.898445 + 0.439087i \(0.855302\pi\)
\(62\) −1.62924 8.19075i −0.206914 1.04023i
\(63\) −0.641928 + 0.428923i −0.0808753 + 0.0540392i
\(64\) −0.707107 + 0.707107i −0.0883883 + 0.0883883i
\(65\) 0.317201 0.173415i 0.0393439 0.0215095i
\(66\) 0.112620 0.0466489i 0.0138626 0.00574209i
\(67\) 8.09542 + 8.09542i 0.989013 + 0.989013i 0.999940 0.0109277i \(-0.00347846\pi\)
−0.0109277 + 0.999940i \(0.503478\pi\)
\(68\) 3.28565 + 2.49088i 0.398444 + 0.302064i
\(69\) 0.618195i 0.0744219i
\(70\) 0.511202 + 0.267072i 0.0611003 + 0.0319212i
\(71\) −8.03206 + 5.36685i −0.953230 + 0.636928i −0.931850 0.362844i \(-0.881806\pi\)
−0.0213797 + 0.999771i \(0.506806\pi\)
\(72\) 2.99315i 0.352746i
\(73\) 1.72842 + 2.58676i 0.202296 + 0.302757i 0.918721 0.394907i \(-0.129223\pi\)
−0.716426 + 0.697664i \(0.754223\pi\)
\(74\) −3.10010 + 4.63963i −0.360380 + 0.539346i
\(75\) −0.287087 + 0.298133i −0.0331499 + 0.0344254i
\(76\) −1.05460 0.436830i −0.120971 0.0501079i
\(77\) −0.145359 0.350928i −0.0165652 0.0399920i
\(78\) 0.00743506 0.0111274i 0.000841855 0.00125993i
\(79\) −0.595727 0.398052i −0.0670245 0.0447844i 0.521607 0.853186i \(-0.325333\pi\)
−0.588631 + 0.808402i \(0.700333\pi\)
\(80\) −1.96200 + 1.07264i −0.219358 + 0.119924i
\(81\) 6.32039 + 6.32039i 0.702265 + 0.702265i
\(82\) −5.60719 1.11534i −0.619211 0.123169i
\(83\) 2.66230 + 1.10276i 0.292225 + 0.121044i 0.523980 0.851731i \(-0.324447\pi\)
−0.231755 + 0.972774i \(0.574447\pi\)
\(84\) 0.0213512 0.00232961
\(85\) 5.48393 + 7.41124i 0.594816 + 0.803862i
\(86\) 2.08540 0.224875
\(87\) −0.409479 0.169612i −0.0439008 0.0181843i
\(88\) 1.44433 + 0.287294i 0.153966 + 0.0306257i
\(89\) −9.97105 9.97105i −1.05693 1.05693i −0.998279 0.0586510i \(-0.981320\pi\)
−0.0586510 0.998279i \(-0.518680\pi\)
\(90\) 1.88232 6.42274i 0.198414 0.677016i
\(91\) −0.0346731 0.0231678i −0.00363473 0.00242865i
\(92\) 4.14909 6.20956i 0.432573 0.647391i
\(93\) −0.264545 0.638669i −0.0274321 0.0662269i
\(94\) 8.44683 + 3.49879i 0.871224 + 0.360873i
\(95\) −1.98827 1.60057i −0.203992 0.164215i
\(96\) −0.0459886 + 0.0688268i −0.00469369 + 0.00702460i
\(97\) −1.95963 2.93279i −0.198970 0.297780i 0.718545 0.695480i \(-0.244808\pi\)
−0.917515 + 0.397700i \(0.869808\pi\)
\(98\) 6.93347i 0.700386i
\(99\) −3.66493 + 2.44883i −0.368339 + 0.246116i
\(100\) −4.88464 + 1.06782i −0.488464 + 0.106782i
\(101\) 10.0952i 1.00451i 0.864720 + 0.502255i \(0.167496\pi\)
−0.864720 + 0.502255i \(0.832504\pi\)
\(102\) 0.306976 + 0.149167i 0.0303952 + 0.0147697i
\(103\) 4.16849 + 4.16849i 0.410733 + 0.410733i 0.881994 0.471261i \(-0.156201\pi\)
−0.471261 + 0.881994i \(0.656201\pi\)
\(104\) 0.149365 0.0618692i 0.0146465 0.00606677i
\(105\) 0.0458157 + 0.0134273i 0.00447116 + 0.00131037i
\(106\) 0.646925 0.646925i 0.0628349 0.0628349i
\(107\) 9.89743 6.61325i 0.956821 0.639327i 0.0240168 0.999712i \(-0.492354\pi\)
0.932804 + 0.360384i \(0.117354\pi\)
\(108\) −0.0967836 0.486564i −0.00931300 0.0468196i
\(109\) 2.67836 + 13.4650i 0.256540 + 1.28971i 0.867256 + 0.497863i \(0.165882\pi\)
−0.610716 + 0.791850i \(0.709118\pi\)
\(110\) 2.91858 + 1.52478i 0.278276 + 0.145382i
\(111\) −0.176761 + 0.426740i −0.0167775 + 0.0405044i
\(112\) 0.214466 + 0.143301i 0.0202651 + 0.0135407i
\(113\) 10.6503 2.11848i 1.00190 0.199290i 0.333225 0.942847i \(-0.391863\pi\)
0.668672 + 0.743558i \(0.266863\pi\)
\(114\) −0.0926740 0.0184340i −0.00867972 0.00172650i
\(115\) 12.8082 10.7153i 1.19437 0.999206i
\(116\) −2.97471 4.45197i −0.276195 0.413355i
\(117\) −0.185184 + 0.447073i −0.0171202 + 0.0413319i
\(118\) 1.54716 1.54716i 0.142428 0.142428i
\(119\) 0.464807 0.956546i 0.0426088 0.0876864i
\(120\) −0.141966 + 0.118768i −0.0129597 + 0.0108420i
\(121\) 3.37963 + 8.15914i 0.307239 + 0.741740i
\(122\) −0.778223 + 3.91239i −0.0704570 + 0.354211i
\(123\) −0.473241 −0.0426707
\(124\) 1.62924 8.19075i 0.146310 0.735551i
\(125\) −11.1531 0.780481i −0.997560 0.0698084i
\(126\) −0.757206 + 0.150618i −0.0674572 + 0.0134181i
\(127\) −19.6721 + 8.14844i −1.74561 + 0.723057i −0.747333 + 0.664449i \(0.768666\pi\)
−0.998281 + 0.0586077i \(0.981334\pi\)
\(128\) −0.923880 + 0.382683i −0.0816602 + 0.0338248i
\(129\) 0.169307 0.0336772i 0.0149066 0.00296512i
\(130\) 0.359418 0.0388275i 0.0315231 0.00340539i
\(131\) 3.85564 19.3836i 0.336869 1.69355i −0.326448 0.945215i \(-0.605852\pi\)
0.663317 0.748339i \(-0.269148\pi\)
\(132\) 0.121900 0.0106100
\(133\) −0.0574408 + 0.288774i −0.00498075 + 0.0250399i
\(134\) 4.38121 + 10.5772i 0.378479 + 0.913729i
\(135\) 0.0983086 1.10494i 0.00846106 0.0950981i
\(136\) 2.08232 + 3.55864i 0.178558 + 0.305151i
\(137\) −7.11512 + 7.11512i −0.607886 + 0.607886i −0.942393 0.334507i \(-0.891430\pi\)
0.334507 + 0.942393i \(0.391430\pi\)
\(138\) 0.236573 0.571137i 0.0201384 0.0486184i
\(139\) −1.94532 2.91137i −0.165000 0.246939i 0.739751 0.672880i \(-0.234943\pi\)
−0.904751 + 0.425941i \(0.859943\pi\)
\(140\) 0.370085 + 0.442371i 0.0312779 + 0.0373871i
\(141\) 0.742273 + 0.147647i 0.0625106 + 0.0124341i
\(142\) −9.47446 + 1.88459i −0.795079 + 0.158151i
\(143\) −0.197958 0.132271i −0.0165540 0.0110611i
\(144\) 1.14543 2.76531i 0.0954523 0.230442i
\(145\) −3.58344 11.4238i −0.297588 0.948696i
\(146\) 0.606939 + 3.05129i 0.0502306 + 0.252526i
\(147\) 0.111969 + 0.562905i 0.00923504 + 0.0464277i
\(148\) −4.63963 + 3.10010i −0.381375 + 0.254827i
\(149\) 12.4645 12.4645i 1.02114 1.02114i 0.0213637 0.999772i \(-0.493199\pi\)
0.999772 0.0213637i \(-0.00680079\pi\)
\(150\) −0.379324 + 0.165575i −0.0309717 + 0.0135192i
\(151\) −9.75368 + 4.04011i −0.793743 + 0.328779i −0.742447 0.669904i \(-0.766335\pi\)
−0.0512957 + 0.998684i \(0.516335\pi\)
\(152\) −0.807157 0.807157i −0.0654691 0.0654691i
\(153\) −11.9390 3.12459i −0.965208 0.252608i
\(154\) 0.379842i 0.0306085i
\(155\) 8.64701 16.5512i 0.694544 1.32943i
\(156\) 0.0111274 0.00743506i 0.000890902 0.000595282i
\(157\) 11.6606i 0.930621i −0.885148 0.465310i \(-0.845943\pi\)
0.885148 0.465310i \(-0.154057\pi\)
\(158\) −0.398052 0.595727i −0.0316673 0.0473935i
\(159\) 0.0420745 0.0629689i 0.00333672 0.00499376i
\(160\) −2.22313 + 0.240162i −0.175754 + 0.0189865i
\(161\) −1.77968 0.737167i −0.140258 0.0580969i
\(162\) 3.42057 + 8.25798i 0.268745 + 0.648809i
\(163\) −7.01651 + 10.5010i −0.549576 + 0.822498i −0.997433 0.0716069i \(-0.977187\pi\)
0.447857 + 0.894105i \(0.352187\pi\)
\(164\) −4.75355 3.17622i −0.371190 0.248021i
\(165\) 0.261574 + 0.0766596i 0.0203635 + 0.00596794i
\(166\) 2.03764 + 2.03764i 0.158151 + 0.158151i
\(167\) −21.9709 4.37027i −1.70016 0.338182i −0.752772 0.658282i \(-0.771284\pi\)
−0.947384 + 0.320100i \(0.896284\pi\)
\(168\) 0.0197260 + 0.00817076i 0.00152189 + 0.000630388i
\(169\) 12.9739 0.997989
\(170\) 2.23034 + 8.94570i 0.171059 + 0.686104i
\(171\) 3.41666 0.261278
\(172\) 1.92666 + 0.798049i 0.146906 + 0.0608507i
\(173\) 2.84673 + 0.566249i 0.216433 + 0.0430511i 0.302116 0.953271i \(-0.402307\pi\)
−0.0856828 + 0.996322i \(0.527307\pi\)
\(174\) −0.313402 0.313402i −0.0237589 0.0237589i
\(175\) 0.515937 + 1.18198i 0.0390012 + 0.0893494i
\(176\) 1.22444 + 0.818144i 0.0922956 + 0.0616700i
\(177\) 0.100624 0.150594i 0.00756336 0.0113194i
\(178\) −5.39630 13.0278i −0.404469 0.976476i
\(179\) −19.1493 7.93190i −1.43129 0.592858i −0.473618 0.880731i \(-0.657052\pi\)
−0.957669 + 0.287872i \(0.907052\pi\)
\(180\) 4.19691 5.21350i 0.312819 0.388592i
\(181\) 4.78617 7.16300i 0.355753 0.532422i −0.609825 0.792536i \(-0.708760\pi\)
0.965578 + 0.260114i \(0.0837602\pi\)
\(182\) −0.0231678 0.0346731i −0.00171731 0.00257014i
\(183\) 0.330202i 0.0244092i
\(184\) 6.20956 4.14909i 0.457775 0.305875i
\(185\) −11.9054 + 3.73449i −0.875300 + 0.274565i
\(186\) 0.691290i 0.0506879i
\(187\) 2.65370 5.46116i 0.194058 0.399360i
\(188\) 6.46493 + 6.46493i 0.471503 + 0.471503i
\(189\) −0.118221 + 0.0489686i −0.00859928 + 0.00356194i
\(190\) −1.22441 2.23961i −0.0888279 0.162478i
\(191\) −3.35082 + 3.35082i −0.242457 + 0.242457i −0.817866 0.575409i \(-0.804843\pi\)
0.575409 + 0.817866i \(0.304843\pi\)
\(192\) −0.0688268 + 0.0459886i −0.00496714 + 0.00331894i
\(193\) −0.121159 0.609107i −0.00872121 0.0438445i 0.976180 0.216964i \(-0.0696154\pi\)
−0.984901 + 0.173119i \(0.944615\pi\)
\(194\) −0.688130 3.45946i −0.0494048 0.248375i
\(195\) 0.0285530 0.00895654i 0.00204472 0.000641391i
\(196\) −2.65332 + 6.40569i −0.189523 + 0.457549i
\(197\) −15.7938 10.5531i −1.12526 0.751877i −0.153573 0.988137i \(-0.549078\pi\)
−0.971690 + 0.236261i \(0.924078\pi\)
\(198\) −4.32308 + 0.859914i −0.307228 + 0.0611114i
\(199\) −3.34817 0.665992i −0.237345 0.0472110i 0.0749842 0.997185i \(-0.476109\pi\)
−0.312330 + 0.949974i \(0.601109\pi\)
\(200\) −4.92146 0.882731i −0.348000 0.0624185i
\(201\) 0.526507 + 0.787973i 0.0371369 + 0.0555794i
\(202\) −3.86327 + 9.32675i −0.271818 + 0.656228i
\(203\) −0.976567 + 0.976567i −0.0685416 + 0.0685416i
\(204\) 0.226526 + 0.255287i 0.0158600 + 0.0178736i
\(205\) −8.20278 9.80497i −0.572907 0.684809i
\(206\) 2.25597 + 5.44639i 0.157181 + 0.379468i
\(207\) −4.36092 + 21.9238i −0.303105 + 1.52381i
\(208\) 0.161672 0.0112099
\(209\) −0.327944 + 1.64869i −0.0226844 + 0.114042i
\(210\) 0.0371898 + 0.0299381i 0.00256634 + 0.00206592i
\(211\) 15.9803 3.17868i 1.10013 0.218829i 0.388545 0.921430i \(-0.372978\pi\)
0.711585 + 0.702600i \(0.247978\pi\)
\(212\) 0.845248 0.350113i 0.0580518 0.0240459i
\(213\) −0.738766 + 0.306007i −0.0506194 + 0.0209672i
\(214\) 11.6748 2.32226i 0.798074 0.158747i
\(215\) 3.63238 + 2.92409i 0.247726 + 0.199422i
\(216\) 0.0967836 0.486564i 0.00658529 0.0331065i
\(217\) −2.15408 −0.146228
\(218\) −2.67836 + 13.4650i −0.181401 + 0.911965i
\(219\) 0.0985507 + 0.237922i 0.00665944 + 0.0160773i
\(220\) 2.11291 + 2.52561i 0.142452 + 0.170276i
\(221\) −0.0908570 0.660370i −0.00611170 0.0444213i
\(222\) −0.326613 + 0.326613i −0.0219208 + 0.0219208i
\(223\) −5.18342 + 12.5139i −0.347108 + 0.837992i 0.649851 + 0.760062i \(0.274831\pi\)
−0.996959 + 0.0779306i \(0.975169\pi\)
\(224\) 0.143301 + 0.214466i 0.00957473 + 0.0143296i
\(225\) 12.2844 8.54787i 0.818962 0.569858i
\(226\) 10.6503 + 2.11848i 0.708448 + 0.140919i
\(227\) 18.5261 3.68507i 1.22962 0.244587i 0.462809 0.886458i \(-0.346842\pi\)
0.766813 + 0.641871i \(0.221842\pi\)
\(228\) −0.0785652 0.0524956i −0.00520311 0.00347661i
\(229\) 1.16614 2.81531i 0.0770608 0.186041i −0.880654 0.473759i \(-0.842897\pi\)
0.957715 + 0.287718i \(0.0928967\pi\)
\(230\) 15.9338 4.99814i 1.05064 0.329568i
\(231\) −0.00613408 0.0308381i −0.000403593 0.00202900i
\(232\) −1.04458 5.25145i −0.0685800 0.344775i
\(233\) 10.9134 7.29210i 0.714961 0.477721i −0.144121 0.989560i \(-0.546035\pi\)
0.859082 + 0.511839i \(0.171035\pi\)
\(234\) −0.342175 + 0.342175i −0.0223687 + 0.0223687i
\(235\) 9.80689 + 17.9382i 0.639731 + 1.17016i
\(236\) 2.02147 0.837319i 0.131586 0.0545049i
\(237\) −0.0419370 0.0419370i −0.00272410 0.00272410i
\(238\) 0.795480 0.705859i 0.0515633 0.0457541i
\(239\) 1.37887i 0.0891917i 0.999005 + 0.0445959i \(0.0142000\pi\)
−0.999005 + 0.0445959i \(0.985800\pi\)
\(240\) −0.176610 + 0.0553994i −0.0114002 + 0.00357602i
\(241\) 13.1768 8.80446i 0.848792 0.567145i −0.0533537 0.998576i \(-0.516991\pi\)
0.902146 + 0.431431i \(0.141991\pi\)
\(242\) 8.83139i 0.567703i
\(243\) 1.23791 + 1.85267i 0.0794121 + 0.118849i
\(244\) −2.21619 + 3.31677i −0.141877 + 0.212334i
\(245\) −9.72192 + 12.0768i −0.621111 + 0.771559i
\(246\) −0.437218 0.181102i −0.0278760 0.0115466i
\(247\) 0.0706232 + 0.170500i 0.00449365 + 0.0108486i
\(248\) 4.63969 6.94378i 0.294620 0.440930i
\(249\) 0.198335 + 0.132523i 0.0125690 + 0.00839831i
\(250\) −10.0054 4.98916i −0.632798 0.315542i
\(251\) 18.9015 + 18.9015i 1.19305 + 1.19305i 0.976205 + 0.216849i \(0.0695779\pi\)
0.216849 + 0.976205i \(0.430422\pi\)
\(252\) −0.757206 0.150618i −0.0476995 0.00948801i
\(253\) −10.1606 4.20867i −0.638793 0.264597i
\(254\) −21.2929 −1.33604
\(255\) 0.325538 + 0.690254i 0.0203860 + 0.0432254i
\(256\) −1.00000 −0.0625000
\(257\) 1.06724 + 0.442065i 0.0665725 + 0.0275752i 0.415721 0.909492i \(-0.363529\pi\)
−0.349149 + 0.937067i \(0.613529\pi\)
\(258\) 0.169307 + 0.0336772i 0.0105406 + 0.00209665i
\(259\) 1.01773 + 1.01773i 0.0632388 + 0.0632388i
\(260\) 0.346918 + 0.101672i 0.0215149 + 0.00630540i
\(261\) 13.3254 + 8.90374i 0.824821 + 0.551128i
\(262\) 10.9799 16.4326i 0.678343 1.01521i
\(263\) 9.03645 + 21.8159i 0.557212 + 1.34523i 0.911965 + 0.410268i \(0.134565\pi\)
−0.354753 + 0.934960i \(0.615435\pi\)
\(264\) 0.112620 + 0.0466489i 0.00693131 + 0.00287104i
\(265\) 2.03392 0.219722i 0.124943 0.0134974i
\(266\) −0.163578 + 0.244811i −0.0100296 + 0.0150103i
\(267\) −0.648494 0.970540i −0.0396872 0.0593961i
\(268\) 11.4486i 0.699338i
\(269\) 22.2827 14.8888i 1.35860 0.907789i 0.358929 0.933365i \(-0.383142\pi\)
0.999673 + 0.0255759i \(0.00814196\pi\)
\(270\) 0.513668 0.983211i 0.0312608 0.0598363i
\(271\) 18.1071i 1.09993i −0.835189 0.549963i \(-0.814642\pi\)
0.835189 0.549963i \(-0.185358\pi\)
\(272\) 0.561984 + 4.08463i 0.0340753 + 0.247667i
\(273\) −0.00244086 0.00244086i −0.000147727 0.000147727i
\(274\) −9.29635 + 3.85068i −0.561613 + 0.232628i
\(275\) 2.94562 + 6.74823i 0.177627 + 0.406934i
\(276\) 0.437130 0.437130i 0.0263121 0.0263121i
\(277\) −5.75784 + 3.84726i −0.345955 + 0.231160i −0.716392 0.697698i \(-0.754208\pi\)
0.370437 + 0.928857i \(0.379208\pi\)
\(278\) −0.683104 3.43420i −0.0409699 0.205969i
\(279\) 4.87656 + 24.5161i 0.291952 + 1.46774i
\(280\) 0.172626 + 0.550322i 0.0103164 + 0.0328881i
\(281\) −5.02328 + 12.1273i −0.299664 + 0.723452i 0.700290 + 0.713858i \(0.253054\pi\)
−0.999954 + 0.00959390i \(0.996946\pi\)
\(282\) 0.629268 + 0.420464i 0.0374724 + 0.0250382i
\(283\) −25.1331 + 4.99928i −1.49401 + 0.297177i −0.873423 0.486963i \(-0.838105\pi\)
−0.620585 + 0.784139i \(0.713105\pi\)
\(284\) −9.47446 1.88459i −0.562206 0.111830i
\(285\) −0.135573 0.162054i −0.00803066 0.00959922i
\(286\) −0.132271 0.197958i −0.00782135 0.0117055i
\(287\) −0.564317 + 1.36238i −0.0333106 + 0.0804188i
\(288\) 2.11648 2.11648i 0.124714 0.124714i
\(289\) 16.3683 4.59099i 0.962844 0.270058i
\(290\) 1.06104 11.9255i 0.0623063 0.700292i
\(291\) −0.111734 0.269750i −0.00654996 0.0158130i
\(292\) −0.606939 + 3.05129i −0.0355184 + 0.178563i
\(293\) 12.0043 0.701296 0.350648 0.936507i \(-0.385961\pi\)
0.350648 + 0.936507i \(0.385961\pi\)
\(294\) −0.111969 + 0.562905i −0.00653016 + 0.0328293i
\(295\) 4.86426 0.525480i 0.283208 0.0305946i
\(296\) −5.47282 + 1.08861i −0.318101 + 0.0632742i
\(297\) −0.674951 + 0.279574i −0.0391646 + 0.0162225i
\(298\) 16.2857 6.74576i 0.943406 0.390772i
\(299\) −1.18419 + 0.235551i −0.0684837 + 0.0136223i
\(300\) −0.413812 + 0.00781083i −0.0238915 + 0.000450958i
\(301\) 0.104939 0.527564i 0.00604859 0.0304083i
\(302\) −10.5573 −0.607505
\(303\) −0.163028 + 0.819596i −0.00936570 + 0.0470846i
\(304\) −0.436830 1.05460i −0.0250539 0.0604856i
\(305\) −6.84137 + 5.72345i −0.391736 + 0.327724i
\(306\) −9.83444 7.45559i −0.562197 0.426208i
\(307\) 9.12610 9.12610i 0.520854 0.520854i −0.396975 0.917829i \(-0.629940\pi\)
0.917829 + 0.396975i \(0.129940\pi\)
\(308\) 0.145359 0.350928i 0.00828261 0.0199960i
\(309\) 0.271109 + 0.405743i 0.0154228 + 0.0230819i
\(310\) 14.3227 11.9823i 0.813473 0.680547i
\(311\) −11.7467 2.33656i −0.666093 0.132494i −0.149549 0.988754i \(-0.547782\pi\)
−0.516545 + 0.856260i \(0.672782\pi\)
\(312\) 0.0131256 0.00261085i 0.000743092 0.000147810i
\(313\) −19.6609 13.1370i −1.11130 0.742548i −0.142354 0.989816i \(-0.545467\pi\)
−0.968947 + 0.247268i \(0.920467\pi\)
\(314\) 4.46234 10.7730i 0.251824 0.607957i
\(315\) −1.53010 0.799385i −0.0862115 0.0450403i
\(316\) −0.139777 0.702708i −0.00786309 0.0395304i
\(317\) 2.46534 + 12.3941i 0.138467 + 0.696123i 0.986181 + 0.165669i \(0.0529784\pi\)
−0.847714 + 0.530454i \(0.822022\pi\)
\(318\) 0.0629689 0.0420745i 0.00353112 0.00235942i
\(319\) −5.57547 + 5.57547i −0.312166 + 0.312166i
\(320\) −2.14581 0.628876i −0.119955 0.0351552i
\(321\) 0.910337 0.377074i 0.0508101 0.0210462i
\(322\) −1.36211 1.36211i −0.0759072 0.0759072i
\(323\) −4.06216 + 2.37696i −0.226025 + 0.132257i
\(324\) 8.93838i 0.496577i
\(325\) 0.680483 + 0.436336i 0.0377464 + 0.0242036i
\(326\) −10.5010 + 7.01651i −0.581594 + 0.388609i
\(327\) 1.13643i 0.0628448i
\(328\) −3.17622 4.75355i −0.175377 0.262471i
\(329\) 1.31017 1.96081i 0.0722323 0.108103i
\(330\) 0.212326 + 0.170924i 0.0116882 + 0.00940906i
\(331\) −21.4759 8.89562i −1.18042 0.488947i −0.295798 0.955250i \(-0.595586\pi\)
−0.884625 + 0.466303i \(0.845586\pi\)
\(332\) 1.10276 + 2.66230i 0.0605219 + 0.146113i
\(333\) 9.27907 13.8871i 0.508490 0.761009i
\(334\) −18.6260 12.4455i −1.01917 0.680987i
\(335\) −7.19978 + 24.5667i −0.393366 + 1.34222i
\(336\) 0.0150976 + 0.0150976i 0.000823641 + 0.000823641i
\(337\) −8.60032 1.71071i −0.468489 0.0931883i −0.0448002 0.998996i \(-0.514265\pi\)
−0.423689 + 0.905808i \(0.639265\pi\)
\(338\) 11.9863 + 4.96488i 0.651968 + 0.270054i
\(339\) 0.898874 0.0488202
\(340\) −1.36281 + 9.11826i −0.0739087 + 0.494507i
\(341\) −12.2982 −0.665983
\(342\) 3.15658 + 1.30750i 0.170688 + 0.0707014i
\(343\) 3.52488 + 0.701143i 0.190326 + 0.0378582i
\(344\) 1.47460 + 1.47460i 0.0795052 + 0.0795052i
\(345\) 1.21290 0.663098i 0.0653003 0.0357000i
\(346\) 2.41334 + 1.61254i 0.129742 + 0.0866908i
\(347\) 16.5415 24.7561i 0.887994 1.32898i −0.0557991 0.998442i \(-0.517771\pi\)
0.943794 0.330536i \(-0.107229\pi\)
\(348\) −0.169612 0.409479i −0.00909215 0.0219504i
\(349\) −22.4816 9.31217i −1.20341 0.498469i −0.311311 0.950308i \(-0.600768\pi\)
−0.892100 + 0.451839i \(0.850768\pi\)
\(350\) 0.0243387 + 1.28945i 0.00130096 + 0.0689240i
\(351\) −0.0445594 + 0.0666879i −0.00237841 + 0.00355954i
\(352\) 0.818144 + 1.22444i 0.0436072 + 0.0652629i
\(353\) 17.3482i 0.923354i −0.887048 0.461677i \(-0.847248\pi\)
0.887048 0.461677i \(-0.152752\pi\)
\(354\) 0.150594 0.100624i 0.00800400 0.00534810i
\(355\) −19.1452 10.0022i −1.01612 0.530863i
\(356\) 14.1012i 0.747362i
\(357\) 0.0531834 0.0701526i 0.00281476 0.00371287i
\(358\) −14.6562 14.6562i −0.774607 0.774607i
\(359\) −1.73489 + 0.718614i −0.0915638 + 0.0379270i −0.427995 0.903781i \(-0.640780\pi\)
0.336431 + 0.941708i \(0.390780\pi\)
\(360\) 5.87256 3.21056i 0.309511 0.169211i
\(361\) −12.5137 + 12.5137i −0.658614 + 0.658614i
\(362\) 7.16300 4.78617i 0.376479 0.251555i
\(363\) 0.142618 + 0.716991i 0.00748552 + 0.0376323i
\(364\) −0.00813546 0.0408997i −0.000426414 0.00214373i
\(365\) −3.22126 + 6.16581i −0.168608 + 0.322733i
\(366\) −0.126363 + 0.305067i −0.00660509 + 0.0159461i
\(367\) −4.90572 3.27790i −0.256076 0.171105i 0.420905 0.907105i \(-0.361712\pi\)
−0.676982 + 0.736000i \(0.736712\pi\)
\(368\) 7.32467 1.45697i 0.381825 0.0759497i
\(369\) 16.7832 + 3.33838i 0.873696 + 0.173789i
\(370\) −12.4282 1.10576i −0.646114 0.0574860i
\(371\) −0.131105 0.196213i −0.00680663 0.0101868i
\(372\) 0.264545 0.638669i 0.0137160 0.0331134i
\(373\) 14.5954 14.5954i 0.755719 0.755719i −0.219821 0.975540i \(-0.570547\pi\)
0.975540 + 0.219821i \(0.0705474\pi\)
\(374\) 4.54160 4.02993i 0.234840 0.208383i
\(375\) −0.892876 0.243476i −0.0461079 0.0125730i
\(376\) 3.49879 + 8.44683i 0.180436 + 0.435612i
\(377\) −0.168879 + 0.849013i −0.00869772 + 0.0437264i
\(378\) −0.127961 −0.00658160
\(379\) −5.88007 + 29.5611i −0.302039 + 1.51845i 0.469880 + 0.882730i \(0.344297\pi\)
−0.771919 + 0.635721i \(0.780703\pi\)
\(380\) −0.274143 2.53769i −0.0140632 0.130181i
\(381\) −1.72870 + 0.343860i −0.0885640 + 0.0176165i
\(382\) −4.37806 + 1.81345i −0.224001 + 0.0927842i
\(383\) 12.4979 5.17678i 0.638611 0.264521i −0.0397959 0.999208i \(-0.512671\pi\)
0.678407 + 0.734687i \(0.262671\pi\)
\(384\) −0.0811867 + 0.0161490i −0.00414304 + 0.000824102i
\(385\) 0.532604 0.661613i 0.0271440 0.0337189i
\(386\) 0.121159 0.609107i 0.00616683 0.0310027i
\(387\) −6.24192 −0.317294
\(388\) 0.688130 3.45946i 0.0349345 0.175628i
\(389\) 7.78829 + 18.8026i 0.394882 + 0.953330i 0.988860 + 0.148848i \(0.0475566\pi\)
−0.593978 + 0.804481i \(0.702443\pi\)
\(390\) 0.0298070 + 0.00265199i 0.00150934 + 0.000134289i
\(391\) −10.0675 29.0998i −0.509136 1.47164i
\(392\) −4.90270 + 4.90270i −0.247624 + 0.247624i
\(393\) 0.626053 1.51143i 0.0315802 0.0762414i
\(394\) −10.5531 15.7938i −0.531657 0.795681i
\(395\) 0.141980 1.59578i 0.00714378 0.0802926i
\(396\) −4.32308 0.859914i −0.217243 0.0432123i
\(397\) 25.2801 5.02852i 1.26877 0.252374i 0.485600 0.874181i \(-0.338601\pi\)
0.783171 + 0.621807i \(0.213601\pi\)
\(398\) −2.83844 1.89659i −0.142278 0.0950673i
\(399\) −0.00932686 + 0.0225170i −0.000466927 + 0.00112726i
\(400\) −4.20903 2.69890i −0.210452 0.134945i
\(401\) −1.25820 6.32538i −0.0628314 0.315875i 0.936570 0.350482i \(-0.113982\pi\)
−0.999401 + 0.0346070i \(0.988982\pi\)
\(402\) 0.184885 + 0.929478i 0.00922121 + 0.0463581i
\(403\) −1.12261 + 0.750107i −0.0559214 + 0.0373655i
\(404\) −7.13838 + 7.13838i −0.355148 + 0.355148i
\(405\) −5.62113 + 19.1801i −0.279316 + 0.953066i
\(406\) −1.27595 + 0.528514i −0.0633242 + 0.0262297i
\(407\) 5.81049 + 5.81049i 0.288016 + 0.288016i
\(408\) 0.111588 + 0.322542i 0.00552445 + 0.0159682i
\(409\) 11.6648i 0.576786i −0.957512 0.288393i \(-0.906879\pi\)
0.957512 0.288393i \(-0.0931209\pi\)
\(410\) −3.82619 12.1977i −0.188962 0.602400i
\(411\) −0.692556 + 0.462751i −0.0341612 + 0.0228258i
\(412\) 5.89513i 0.290432i
\(413\) −0.313547 0.469256i −0.0154286 0.0230906i
\(414\) −12.4189 + 18.5861i −0.610353 + 0.913458i
\(415\) 0.692063 + 6.40630i 0.0339721 + 0.314473i
\(416\) 0.149365 + 0.0618692i 0.00732324 + 0.00303339i
\(417\) −0.110918 0.267780i −0.00543167 0.0131132i
\(418\) −0.933906 + 1.39769i −0.0456788 + 0.0683632i
\(419\) 18.2447 + 12.1907i 0.891312 + 0.595556i 0.914683 0.404171i \(-0.132440\pi\)
−0.0233715 + 0.999727i \(0.507440\pi\)
\(420\) 0.0229021 + 0.0418911i 0.00111751 + 0.00204408i
\(421\) −13.1073 13.1073i −0.638811 0.638811i 0.311451 0.950262i \(-0.399185\pi\)
−0.950262 + 0.311451i \(0.899185\pi\)
\(422\) 15.9803 + 3.17868i 0.777909 + 0.154736i
\(423\) −25.2826 10.4724i −1.22928 0.509186i
\(424\) 0.914889 0.0444310
\(425\) −8.65859 + 18.7091i −0.420003 + 0.907523i
\(426\) −0.799634 −0.0387424
\(427\) 0.950595 + 0.393749i 0.0460025 + 0.0190549i
\(428\) 11.6748 + 2.32226i 0.564323 + 0.112251i
\(429\) −0.0139355 0.0139355i −0.000672811 0.000672811i
\(430\) 2.23688 + 4.09156i 0.107872 + 0.197313i
\(431\) −19.2976 12.8943i −0.929533 0.621094i −0.00409454 0.999992i \(-0.501303\pi\)
−0.925439 + 0.378897i \(0.876303\pi\)
\(432\) 0.275616 0.412489i 0.0132606 0.0198459i
\(433\) 6.35207 + 15.3353i 0.305261 + 0.736965i 0.999846 + 0.0175545i \(0.00558807\pi\)
−0.694585 + 0.719411i \(0.744412\pi\)
\(434\) −1.99011 0.824330i −0.0955282 0.0395691i
\(435\) −0.106444 0.985331i −0.00510359 0.0472430i
\(436\) −7.62731 + 11.4151i −0.365282 + 0.546683i
\(437\) 4.73616 + 7.08816i 0.226561 + 0.339073i
\(438\) 0.257525i 0.0123050i
\(439\) 17.0419 11.3870i 0.813366 0.543474i −0.0778967 0.996961i \(-0.524820\pi\)
0.891262 + 0.453488i \(0.149820\pi\)
\(440\) 0.985565 + 3.14193i 0.0469850 + 0.149786i
\(441\) 20.7529i 0.988233i
\(442\) 0.168772 0.644872i 0.00802765 0.0306734i
\(443\) 17.8297 + 17.8297i 0.847113 + 0.847113i 0.989772 0.142659i \(-0.0455651\pi\)
−0.142659 + 0.989772i \(0.545565\pi\)
\(444\) −0.426740 + 0.176761i −0.0202522 + 0.00838873i
\(445\) 8.86790 30.2585i 0.420379 1.43439i
\(446\) −9.57772 + 9.57772i −0.453518 + 0.453518i
\(447\) 1.21325 0.810665i 0.0573846 0.0383431i
\(448\) 0.0503208 + 0.252980i 0.00237743 + 0.0119522i
\(449\) 6.11365 + 30.7354i 0.288521 + 1.45049i 0.804531 + 0.593911i \(0.202417\pi\)
−0.516010 + 0.856583i \(0.672583\pi\)
\(450\) 14.6205 3.19616i 0.689215 0.150668i
\(451\) −3.22183 + 7.77818i −0.151710 + 0.366260i
\(452\) 9.02889 + 6.03291i 0.424683 + 0.283764i
\(453\) −0.857113 + 0.170490i −0.0402707 + 0.00801033i
\(454\) 18.5261 + 3.68507i 0.869474 + 0.172949i
\(455\) 0.00826366 0.0928794i 0.000387406 0.00435425i
\(456\) −0.0524956 0.0785652i −0.00245833 0.00367915i
\(457\) 15.4887 37.3930i 0.724530 1.74917i 0.0645173 0.997917i \(-0.479449\pi\)
0.660013 0.751254i \(-0.270551\pi\)
\(458\) 2.15475 2.15475i 0.100685 0.100685i
\(459\) −1.83976 0.893978i −0.0858724 0.0417273i
\(460\) 16.6336 + 1.47993i 0.775547 + 0.0690019i
\(461\) 11.1969 + 27.0318i 0.521493 + 1.25899i 0.936976 + 0.349394i \(0.113612\pi\)
−0.415483 + 0.909601i \(0.636388\pi\)
\(462\) 0.00613408 0.0308381i 0.000285383 0.00143472i
\(463\) 3.51940 0.163560 0.0817801 0.996650i \(-0.473939\pi\)
0.0817801 + 0.996650i \(0.473939\pi\)
\(464\) 1.04458 5.25145i 0.0484934 0.243793i
\(465\) 0.969308 1.20410i 0.0449506 0.0558387i
\(466\) 12.8732 2.56065i 0.596341 0.118620i
\(467\) 18.3629 7.60618i 0.849736 0.351972i 0.0850509 0.996377i \(-0.472895\pi\)
0.764685 + 0.644405i \(0.222895\pi\)
\(468\) −0.447073 + 0.185184i −0.0206660 + 0.00856012i
\(469\) 2.89628 0.576105i 0.133738 0.0266021i
\(470\) 2.19575 + 20.3256i 0.101282 + 0.937551i
\(471\) 0.188308 0.946689i 0.00867678 0.0436211i
\(472\) 2.18802 0.100712
\(473\) 0.599124 3.01200i 0.0275477 0.138492i
\(474\) −0.0226961 0.0547933i −0.00104247 0.00251674i
\(475\) 1.00763 5.61781i 0.0462333 0.257763i
\(476\) 1.00505 0.347712i 0.0460663 0.0159374i
\(477\) −1.93634 + 1.93634i −0.0886590 + 0.0886590i
\(478\) −0.527671 + 1.27391i −0.0241351 + 0.0582673i
\(479\) −19.5061 29.1929i −0.891256 1.33386i −0.942163 0.335155i \(-0.891211\pi\)
0.0509076 0.998703i \(-0.483789\pi\)
\(480\) −0.184367 0.0164035i −0.00841517 0.000748714i
\(481\) 0.884802 + 0.175998i 0.0403435 + 0.00802482i
\(482\) 15.5431 3.09171i 0.707969 0.140824i
\(483\) −0.132582 0.0885882i −0.00603267 0.00403090i
\(484\) −3.37963 + 8.15914i −0.153619 + 0.370870i
\(485\) 3.65217 6.99061i 0.165836 0.317427i
\(486\) 0.434697 + 2.18537i 0.0197183 + 0.0991304i
\(487\) 5.67470 + 28.5287i 0.257145 + 1.29276i 0.866227 + 0.499650i \(0.166538\pi\)
−0.609082 + 0.793107i \(0.708462\pi\)
\(488\) −3.31677 + 2.21619i −0.150143 + 0.100322i
\(489\) −0.739228 + 0.739228i −0.0334290 + 0.0334290i
\(490\) −13.6035 + 7.43710i −0.614542 + 0.335974i
\(491\) 37.6868 15.6104i 1.70078 0.704487i 0.700821 0.713338i \(-0.252817\pi\)
0.999961 + 0.00885091i \(0.00281737\pi\)
\(492\) −0.334632 0.334632i −0.0150864 0.0150864i
\(493\) −22.0373 1.31548i −0.992508 0.0592464i
\(494\) 0.184547i 0.00830318i
\(495\) −8.73574 4.56389i −0.392642 0.205132i
\(496\) 6.94378 4.63969i 0.311785 0.208328i
\(497\) 2.49168i 0.111767i
\(498\) 0.132523 + 0.198335i 0.00593850 + 0.00888759i
\(499\) −10.0584 + 15.0534i −0.450274 + 0.673883i −0.985277 0.170968i \(-0.945311\pi\)
0.535002 + 0.844851i \(0.320311\pi\)
\(500\) −7.33452 8.43829i −0.328010 0.377372i
\(501\) −1.71317 0.709616i −0.0765386 0.0317033i
\(502\) 10.2294 + 24.6960i 0.456562 + 1.10224i
\(503\) −21.2766 + 31.8427i −0.948677 + 1.41980i −0.0414559 + 0.999140i \(0.513200\pi\)
−0.907221 + 0.420655i \(0.861800\pi\)
\(504\) −0.641928 0.428923i −0.0285937 0.0191057i
\(505\) −19.8068 + 10.8285i −0.881391 + 0.481861i
\(506\) −7.77661 7.77661i −0.345712 0.345712i
\(507\) 1.05331 + 0.209515i 0.0467789 + 0.00930491i
\(508\) −19.6721 8.14844i −0.872807 0.361529i
\(509\) −14.2454 −0.631415 −0.315708 0.948857i \(-0.602242\pi\)
−0.315708 + 0.948857i \(0.602242\pi\)
\(510\) 0.0366092 + 0.762290i 0.00162108 + 0.0337548i
\(511\) 0.802455 0.0354985
\(512\) −0.923880 0.382683i −0.0408301 0.0169124i
\(513\) 0.555409 + 0.110478i 0.0245219 + 0.00487771i
\(514\) 0.816829 + 0.816829i 0.0360288 + 0.0360288i
\(515\) −3.70731 + 12.6499i −0.163363 + 0.557419i
\(516\) 0.143531 + 0.0959047i 0.00631862 + 0.00422197i
\(517\) 7.48012 11.1948i 0.328975 0.492346i
\(518\) 0.550793 + 1.32973i 0.0242005 + 0.0584251i
\(519\) 0.221972 + 0.0919438i 0.00974349 + 0.00403589i
\(520\) 0.281602 + 0.226692i 0.0123491 + 0.00994110i
\(521\) 3.41898 5.11686i 0.149788 0.224174i −0.748986 0.662586i \(-0.769459\pi\)
0.898774 + 0.438412i \(0.144459\pi\)
\(522\) 8.90374 + 13.3254i 0.389706 + 0.583237i
\(523\) 12.3832i 0.541481i −0.962652 0.270740i \(-0.912732\pi\)
0.962652 0.270740i \(-0.0872685\pi\)
\(524\) 16.4326 10.9799i 0.717863 0.479661i
\(525\) 0.0227993 + 0.104293i 0.000995045 + 0.00455172i
\(526\) 23.6134i 1.02959i
\(527\) −22.8537 25.7553i −0.995522 1.12192i
\(528\) 0.0861960 + 0.0861960i 0.00375120 + 0.00375120i
\(529\) −30.2788 + 12.5419i −1.31647 + 0.545300i
\(530\) 1.96318 + 0.575352i 0.0852752 + 0.0249917i
\(531\) −4.63089 + 4.63089i −0.200964 + 0.200964i
\(532\) −0.244811 + 0.163578i −0.0106139 + 0.00709199i
\(533\) 0.180319 + 0.906526i 0.00781050 + 0.0392660i
\(534\) −0.227721 1.14483i −0.00985444 0.0495416i
\(535\) 23.5916 + 12.3252i 1.01995 + 0.532863i
\(536\) −4.38121 + 10.5772i −0.189239 + 0.456864i
\(537\) −1.42658 0.953208i −0.0615613 0.0411340i
\(538\) 26.2843 5.22827i 1.13320 0.225407i
\(539\) 10.0142 + 1.99194i 0.431341 + 0.0857991i
\(540\) 0.850825 0.711796i 0.0366137 0.0306308i
\(541\) −0.433789 0.649210i −0.0186500 0.0279117i 0.822027 0.569448i \(-0.192843\pi\)
−0.840677 + 0.541536i \(0.817843\pi\)
\(542\) 6.92927 16.7287i 0.297638 0.718561i
\(543\) 0.504249 0.504249i 0.0216394 0.0216394i
\(544\) −1.04391 + 3.98876i −0.0447574 + 0.171017i
\(545\) −23.5455 + 19.6980i −1.00858 + 0.843770i
\(546\) −0.00132098 0.00318913i −5.65328e−5 0.000136482i
\(547\) 1.94216 9.76390i 0.0830408 0.417474i −0.916795 0.399358i \(-0.869233\pi\)
0.999836 0.0181164i \(-0.00576693\pi\)
\(548\) −10.0623 −0.429840
\(549\) 2.32934 11.7104i 0.0994137 0.499786i
\(550\) 0.138956 + 7.36179i 0.00592510 + 0.313908i
\(551\) 5.99449 1.19238i 0.255374 0.0507971i
\(552\) 0.571137 0.236573i 0.0243092 0.0100692i
\(553\) −0.170737 + 0.0707216i −0.00726048 + 0.00300739i
\(554\) −6.79183 + 1.35098i −0.288557 + 0.0573976i
\(555\) −1.02687 + 0.110931i −0.0435880 + 0.00470875i
\(556\) 0.683104 3.43420i 0.0289701 0.145642i
\(557\) −22.9480 −0.972336 −0.486168 0.873865i \(-0.661606\pi\)
−0.486168 + 0.873865i \(0.661606\pi\)
\(558\) −4.87656 + 24.5161i −0.206441 + 1.03785i
\(559\) −0.129022 0.311487i −0.00545706 0.0131745i
\(560\) −0.0511137 + 0.574493i −0.00215995 + 0.0242767i
\(561\) 0.303638 0.400519i 0.0128196 0.0169099i
\(562\) −9.28181 + 9.28181i −0.391529 + 0.391529i
\(563\) 16.2547 39.2423i 0.685054 1.65387i −0.0694621 0.997585i \(-0.522128\pi\)
0.754516 0.656282i \(-0.227872\pi\)
\(564\) 0.420464 + 0.629268i 0.0177047 + 0.0264970i
\(565\) 15.5804 + 18.6236i 0.655471 + 0.783499i
\(566\) −25.1331 4.99928i −1.05642 0.210136i
\(567\) 2.26123 0.449786i 0.0949627 0.0188892i
\(568\) −8.03206 5.36685i −0.337018 0.225188i
\(569\) 14.7790 35.6796i 0.619567 1.49577i −0.232641 0.972563i \(-0.574737\pi\)
0.852208 0.523203i \(-0.175263\pi\)
\(570\) −0.0632380 0.201600i −0.00264875 0.00844408i
\(571\) −1.63165 8.20287i −0.0682825 0.343280i 0.931509 0.363719i \(-0.118493\pi\)
−0.999791 + 0.0204399i \(0.993493\pi\)
\(572\) −0.0464474 0.233507i −0.00194206 0.00976342i
\(573\) −0.326155 + 0.217929i −0.0136253 + 0.00910413i
\(574\) −1.04272 + 1.04272i −0.0435224 + 0.0435224i
\(575\) 34.7620 + 13.6361i 1.44967 + 0.568666i
\(576\) 2.76531 1.14543i 0.115221 0.0477262i
\(577\) 13.2801 + 13.2801i 0.552857 + 0.552857i 0.927264 0.374407i \(-0.122154\pi\)
−0.374407 + 0.927264i \(0.622154\pi\)
\(578\) 16.8793 + 2.02238i 0.702085 + 0.0841198i
\(579\) 0.0514080i 0.00213644i
\(580\) 5.54398 10.6117i 0.230201 0.440628i
\(581\) 0.618016 0.412945i 0.0256396 0.0171318i
\(582\) 0.291975i 0.0121028i
\(583\) −0.748512 1.12023i −0.0310002 0.0463951i
\(584\) −1.72842 + 2.58676i −0.0715223 + 0.107041i
\(585\) −1.07579 + 0.116216i −0.0444785 + 0.00480496i
\(586\) 11.0905 + 4.59383i 0.458144 + 0.189769i
\(587\) 2.16591 + 5.22898i 0.0893969 + 0.215823i 0.962254 0.272152i \(-0.0877355\pi\)
−0.872857 + 0.487976i \(0.837736\pi\)
\(588\) −0.318860 + 0.477208i −0.0131496 + 0.0196797i
\(589\) 7.92627 + 5.29617i 0.326596 + 0.218225i
\(590\) 4.69509 + 1.37599i 0.193294 + 0.0566487i
\(591\) −1.11183 1.11183i −0.0457344 0.0457344i
\(592\) −5.47282 1.08861i −0.224931 0.0447416i
\(593\) 32.3814 + 13.4128i 1.32974 + 0.550798i 0.930582 0.366083i \(-0.119302\pi\)
0.399161 + 0.916881i \(0.369302\pi\)
\(594\) −0.730562 −0.0299753
\(595\) 2.37531 0.114075i 0.0973783 0.00467662i
\(596\) 17.6275 0.722052
\(597\) −0.261072 0.108139i −0.0106850 0.00442585i
\(598\) −1.18419 0.235551i −0.0484253 0.00963239i
\(599\) −32.5991 32.5991i −1.33196 1.33196i −0.903613 0.428350i \(-0.859095\pi\)
−0.428350 0.903613i \(-0.640905\pi\)
\(600\) −0.385302 0.151143i −0.0157299 0.00617038i
\(601\) 17.5086 + 11.6988i 0.714189 + 0.477206i 0.858819 0.512280i \(-0.171199\pi\)
−0.144629 + 0.989486i \(0.546199\pi\)
\(602\) 0.298841 0.447247i 0.0121799 0.0182284i
\(603\) −13.1136 31.6590i −0.534027 1.28926i
\(604\) −9.75368 4.04011i −0.396872 0.164390i
\(605\) −12.3831 + 15.3826i −0.503446 + 0.625393i
\(606\) −0.464264 + 0.694820i −0.0188594 + 0.0282251i
\(607\) 10.4649 + 15.6619i 0.424758 + 0.635695i 0.980698 0.195527i \(-0.0626417\pi\)
−0.555940 + 0.831222i \(0.687642\pi\)
\(608\) 1.14149i 0.0462936i
\(609\) −0.0950549 + 0.0635137i −0.00385182 + 0.00257370i
\(610\) −8.51087 + 2.66970i −0.344595 + 0.108093i
\(611\) 1.47813i 0.0597988i
\(612\) −6.23270 10.6515i −0.251942 0.430563i
\(613\) 8.12752 + 8.12752i 0.328267 + 0.328267i 0.851927 0.523660i \(-0.175434\pi\)
−0.523660 + 0.851927i \(0.675434\pi\)
\(614\) 11.9238 4.93901i 0.481206 0.199322i
\(615\) −0.507616 0.928500i −0.0204691 0.0374407i
\(616\) 0.268589 0.268589i 0.0108217 0.0108217i
\(617\) −24.5840 + 16.4265i −0.989716 + 0.661307i −0.941318 0.337521i \(-0.890412\pi\)
−0.0483982 + 0.998828i \(0.515412\pi\)
\(618\) 0.0952007 + 0.478606i 0.00382954 + 0.0192524i
\(619\) 2.64078 + 13.2761i 0.106142 + 0.533612i 0.996869 + 0.0790729i \(0.0251960\pi\)
−0.890727 + 0.454539i \(0.849804\pi\)
\(620\) 17.8178 5.58913i 0.715582 0.224465i
\(621\) −1.41782 + 3.42291i −0.0568950 + 0.137357i
\(622\) −9.95836 6.65396i −0.399294 0.266800i
\(623\) −3.56732 + 0.709583i −0.142922 + 0.0284289i
\(624\) 0.0131256 + 0.00261085i 0.000525445 + 0.000104518i
\(625\) −10.4319 22.7195i −0.417275 0.908780i
\(626\) −13.1370 19.6609i −0.525061 0.785809i
\(627\) −0.0532494 + 0.128555i −0.00212658 + 0.00513401i
\(628\) 8.24532 8.24532i 0.329024 0.329024i
\(629\) −1.37094 + 22.9662i −0.0546628 + 0.915722i
\(630\) −1.10772 1.32408i −0.0441326 0.0527526i
\(631\) −11.0698 26.7248i −0.440681 1.06390i −0.975710 0.219065i \(-0.929699\pi\)
0.535029 0.844833i \(-0.320301\pi\)
\(632\) 0.139777 0.702708i 0.00556004 0.0279522i
\(633\) 1.34872 0.0536069
\(634\) −2.46534 + 12.3941i −0.0979113 + 0.492233i
\(635\) −37.0882 29.8563i −1.47180 1.18481i
\(636\) 0.0742769 0.0147746i 0.00294527 0.000585850i
\(637\) 1.03562 0.428968i 0.0410328 0.0169963i
\(638\) −7.28470 + 3.01742i −0.288404 + 0.119461i
\(639\) 28.3584 5.64085i 1.12184 0.223148i
\(640\) −1.74181 1.40217i −0.0688512 0.0554257i
\(641\) −3.34458 + 16.8143i −0.132103 + 0.664126i 0.856811 + 0.515631i \(0.172443\pi\)
−0.988913 + 0.148494i \(0.952557\pi\)
\(642\) 0.985342 0.0388883
\(643\) −1.88379 + 9.47044i −0.0742893 + 0.373478i −0.999989 0.00478271i \(-0.998478\pi\)
0.925699 + 0.378260i \(0.123478\pi\)
\(644\) −0.737167 1.77968i −0.0290484 0.0701291i
\(645\) 0.247680 + 0.296057i 0.00975238 + 0.0116572i
\(646\) −4.66257 + 0.641500i −0.183446 + 0.0252395i
\(647\) 9.13603 9.13603i 0.359174 0.359174i −0.504334 0.863508i \(-0.668262\pi\)
0.863508 + 0.504334i \(0.168262\pi\)
\(648\) −3.42057 + 8.25798i −0.134373 + 0.324404i
\(649\) −1.79012 2.67910i −0.0702683 0.105164i
\(650\) 0.461705 + 0.663532i 0.0181096 + 0.0260259i
\(651\) −0.174882 0.0347863i −0.00685418 0.00136338i
\(652\) −12.3867 + 2.46387i −0.485101 + 0.0964927i
\(653\) −30.6957 20.5102i −1.20121 0.802626i −0.216411 0.976302i \(-0.569435\pi\)
−0.984803 + 0.173677i \(0.944435\pi\)
\(654\) −0.434894 + 1.04993i −0.0170057 + 0.0410554i
\(655\) 42.1664 13.2268i 1.64758 0.516814i
\(656\) −1.11534 5.60719i −0.0435467 0.218924i
\(657\) −1.81666 9.13296i −0.0708746 0.356311i
\(658\) 1.96081 1.31017i 0.0764405 0.0510759i
\(659\) −20.7048 + 20.7048i −0.806543 + 0.806543i −0.984109 0.177566i \(-0.943178\pi\)
0.177566 + 0.984109i \(0.443178\pi\)
\(660\) 0.130754 + 0.239167i 0.00508959 + 0.00930956i
\(661\) 42.9522 17.7914i 1.67065 0.692005i 0.671834 0.740701i \(-0.265507\pi\)
0.998814 + 0.0486965i \(0.0155067\pi\)
\(662\) −16.4370 16.4370i −0.638840 0.638840i
\(663\) 0.00328796 0.0550805i 0.000127694 0.00213915i
\(664\) 2.88165i 0.111830i
\(665\) −0.628189 + 0.197051i −0.0243601 + 0.00764132i
\(666\) 13.8871 9.27907i 0.538114 0.359556i
\(667\) 39.9871i 1.54831i
\(668\) −12.4455 18.6260i −0.481530 0.720661i
\(669\) −0.622912 + 0.932254i −0.0240832 + 0.0360430i
\(670\) −16.0530 + 19.9414i −0.620181 + 0.770404i
\(671\) 5.42719 + 2.24801i 0.209514 + 0.0867837i
\(672\) 0.00817076 + 0.0197260i 0.000315194 + 0.000760945i
\(673\) 8.50983 12.7359i 0.328030 0.490932i −0.630396 0.776274i \(-0.717107\pi\)
0.958426 + 0.285342i \(0.0921073\pi\)
\(674\) −7.29100 4.87169i −0.280839 0.187651i
\(675\) 2.27334 0.992318i 0.0875010 0.0381943i
\(676\) 9.17391 + 9.17391i 0.352843 + 0.352843i
\(677\) −33.2115 6.60618i −1.27642 0.253896i −0.490075 0.871680i \(-0.663031\pi\)
−0.786348 + 0.617784i \(0.788031\pi\)
\(678\) 0.830452 + 0.343984i 0.0318933 + 0.0132106i
\(679\) −0.909801 −0.0349150
\(680\) −4.74848 + 7.90265i −0.182096 + 0.303053i
\(681\) 1.56358 0.0599167
\(682\) −11.3620 4.70631i −0.435075 0.180214i
\(683\) 8.70565 + 1.73166i 0.333112 + 0.0662602i 0.358813 0.933410i \(-0.383182\pi\)
−0.0257005 + 0.999670i \(0.508182\pi\)
\(684\) 2.41594 + 2.41594i 0.0923758 + 0.0923758i
\(685\) −21.5918 6.32794i −0.824981 0.241778i
\(686\) 2.98825 + 1.99669i 0.114092 + 0.0762339i
\(687\) 0.140140 0.209734i 0.00534666 0.00800185i
\(688\) 0.798049 + 1.92666i 0.0304253 + 0.0734532i
\(689\) −0.136653 0.0566035i −0.00520606 0.00215642i
\(690\) 1.37433 0.148467i 0.0523198 0.00565204i
\(691\) −24.1687 + 36.1711i −0.919422 + 1.37601i 0.00718155 + 0.999974i \(0.497714\pi\)
−0.926604 + 0.376039i \(0.877286\pi\)
\(692\) 1.61254 + 2.41334i 0.0612996 + 0.0917414i
\(693\) 1.13692i 0.0431881i
\(694\) 24.7561 16.5415i 0.939729 0.627907i
\(695\) 3.62550 6.93956i 0.137523 0.263232i
\(696\) 0.443217i 0.0168001i
\(697\) −22.2765 + 7.70690i −0.843782 + 0.291920i
\(698\) −17.2067 17.2067i −0.651281 0.651281i
\(699\) 1.00378 0.415781i 0.0379666 0.0157263i
\(700\) −0.470965 + 1.20061i −0.0178008 + 0.0453788i
\(701\) −25.9611 + 25.9611i −0.980538 + 0.980538i −0.999814 0.0192760i \(-0.993864\pi\)
0.0192760 + 0.999814i \(0.493864\pi\)
\(702\) −0.0666879 + 0.0445594i −0.00251697 + 0.00168179i
\(703\) −1.24264 6.24718i −0.0468671 0.235617i
\(704\) 0.287294 + 1.44433i 0.0108278 + 0.0544350i
\(705\) 0.506505 + 1.61471i 0.0190761 + 0.0608136i
\(706\) 6.63888 16.0277i 0.249858 0.603210i
\(707\) 2.16508 + 1.44666i 0.0814260 + 0.0544071i
\(708\) 0.177638 0.0353344i 0.00667605 0.00132795i
\(709\) 5.00098 + 0.994756i 0.187816 + 0.0373589i 0.288102 0.957600i \(-0.406976\pi\)
−0.100286 + 0.994959i \(0.531976\pi\)
\(710\) −13.8602 16.5674i −0.520165 0.621764i
\(711\) 1.19143 + 1.78310i 0.0446821 + 0.0668715i
\(712\) 5.39630 13.0278i 0.202235 0.488238i
\(713\) −44.1010 + 44.1010i −1.65160 + 1.65160i
\(714\) 0.0759813 0.0444602i 0.00284353 0.00166388i
\(715\) 0.0471793 0.530272i 0.00176441 0.0198310i
\(716\) −7.93190 19.1493i −0.296429 0.715643i
\(717\) −0.0222674 + 0.111946i −0.000831593 + 0.00418070i
\(718\) −1.87783 −0.0700799
\(719\) 5.79442 29.1305i 0.216096 1.08639i −0.708580 0.705630i \(-0.750664\pi\)
0.924676 0.380755i \(-0.124336\pi\)
\(720\) 6.65417 0.718840i 0.247986 0.0267896i
\(721\) 1.49135 0.296648i 0.0555407 0.0110477i
\(722\) −16.3499 + 6.77235i −0.608480 + 0.252041i
\(723\) 1.21196 0.502012i 0.0450734 0.0186700i
\(724\) 8.44934 1.68068i 0.314017 0.0624619i
\(725\) 18.5698 19.2843i 0.689665 0.716201i
\(726\) −0.142618 + 0.716991i −0.00529307 + 0.0266100i
\(727\) −25.5902 −0.949087 −0.474543 0.880232i \(-0.657387\pi\)
−0.474543 + 0.880232i \(0.657387\pi\)
\(728\) 0.00813546 0.0408997i 0.000301520 0.00151584i
\(729\) −10.1911 24.6036i −0.377449 0.911243i
\(730\) −5.33561 + 4.46374i −0.197480 + 0.165210i
\(731\) 7.42120 4.34248i 0.274483 0.160613i
\(732\) −0.233488 + 0.233488i −0.00862996 + 0.00862996i
\(733\) −6.57339 + 15.8696i −0.242794 + 0.586155i −0.997558 0.0698402i \(-0.977751\pi\)
0.754765 + 0.655996i \(0.227751\pi\)
\(734\) −3.27790 4.90572i −0.120989 0.181073i
\(735\) −0.984319 + 0.823476i −0.0363072 + 0.0303744i
\(736\) 7.32467 + 1.45697i 0.269991 + 0.0537046i
\(737\) 16.5356 3.28913i 0.609096 0.121157i
\(738\) 14.2281 + 9.50690i 0.523743 + 0.349954i
\(739\) 7.93386 19.1540i 0.291852 0.704593i −0.708147 0.706065i \(-0.750469\pi\)
0.999999 + 0.00147219i \(0.000468612\pi\)
\(740\) −11.0590 5.77768i −0.406539 0.212392i
\(741\) 0.00298026 + 0.0149828i 0.000109483 + 0.000550407i
\(742\) −0.0460380 0.231448i −0.00169011 0.00849674i
\(743\) 13.1293 8.77270i 0.481666 0.321839i −0.290922 0.956747i \(-0.593962\pi\)
0.772588 + 0.634908i \(0.218962\pi\)
\(744\) 0.488816 0.488816i 0.0179209 0.0179209i
\(745\) 37.8254 + 11.0855i 1.38582 + 0.406142i
\(746\) 19.0698 7.89895i 0.698193 0.289201i
\(747\) −6.09895 6.09895i −0.223149 0.223149i
\(748\) 5.73807 1.98518i 0.209805 0.0725852i
\(749\) 3.07035i 0.112188i
\(750\) −0.731736 0.566631i −0.0267192 0.0206905i
\(751\) −16.2731 + 10.8734i −0.593816 + 0.396775i −0.815850 0.578264i \(-0.803730\pi\)
0.222034 + 0.975039i \(0.428730\pi\)
\(752\) 9.14279i 0.333403i
\(753\) 1.22931 + 1.83979i 0.0447986 + 0.0670458i
\(754\) −0.480927 + 0.719758i −0.0175143 + 0.0262121i
\(755\) −18.3889 14.8032i −0.669239 0.538742i
\(756\) −0.118221 0.0489686i −0.00429964 0.00178097i
\(757\) 15.9752 + 38.5675i 0.580629 + 1.40176i 0.892244 + 0.451553i \(0.149130\pi\)
−0.311616 + 0.950208i \(0.600870\pi\)
\(758\) −16.7450 + 25.0607i −0.608206 + 0.910245i
\(759\) −0.756942 0.505772i −0.0274753 0.0183584i
\(760\) 0.717857 2.44943i 0.0260394 0.0888502i
\(761\) −4.52297 4.52297i −0.163957 0.163957i 0.620360 0.784317i \(-0.286987\pi\)
−0.784317 + 0.620360i \(0.786987\pi\)
\(762\) −1.72870 0.343860i −0.0626242 0.0124567i
\(763\) 3.27159 + 1.35514i 0.118440 + 0.0490593i
\(764\) −4.73878 −0.171443
\(765\) −6.67573 26.7758i −0.241361 0.968082i
\(766\) 13.5276 0.488772
\(767\) −0.326815 0.135371i −0.0118006 0.00488797i
\(768\) −0.0811867 0.0161490i −0.00292957 0.000582728i
\(769\) 9.02209 + 9.02209i 0.325345 + 0.325345i 0.850813 0.525468i \(-0.176110\pi\)
−0.525468 + 0.850813i \(0.676110\pi\)
\(770\) 0.745250 0.407432i 0.0268569 0.0146828i
\(771\) 0.0795066 + 0.0531246i 0.00286336 + 0.00191324i
\(772\) 0.345031 0.516376i 0.0124180 0.0185848i
\(773\) 14.4568 + 34.9017i 0.519974 + 1.25533i 0.937919 + 0.346855i \(0.112750\pi\)
−0.417945 + 0.908472i \(0.637250\pi\)
\(774\) −5.76678 2.38868i −0.207283 0.0858593i
\(775\) 41.7486 0.788017i 1.49966 0.0283064i
\(776\) 1.95963 2.93279i 0.0703465 0.105281i
\(777\) 0.0661910 + 0.0990618i 0.00237459 + 0.00355382i
\(778\) 20.3518i 0.729647i
\(779\) 5.42614 3.62563i 0.194412 0.129902i
\(780\) 0.0265232 + 0.0138568i 0.000949684 + 0.000496152i
\(781\) 14.2256i 0.509033i
\(782\) 1.83482 30.7373i 0.0656132 1.09917i
\(783\) 1.87826 + 1.87826i 0.0671236 + 0.0671236i
\(784\) −6.40569 + 2.65332i −0.228775 + 0.0947616i
\(785\) 22.8782 12.5076i 0.816558 0.446417i
\(786\) 1.15680 1.15680i 0.0412615 0.0412615i
\(787\) −17.1318 + 11.4471i −0.610681 + 0.408044i −0.822093 0.569353i \(-0.807194\pi\)
0.211412 + 0.977397i \(0.432194\pi\)
\(788\) −3.70575 18.6301i −0.132012 0.663669i
\(789\) 0.381334 + 1.91709i 0.0135758 + 0.0682503i
\(790\) 0.741852 1.41998i 0.0263939 0.0505206i
\(791\) 1.07186 2.58771i 0.0381111 0.0920083i
\(792\) −3.66493 2.44883i −0.130228 0.0870153i
\(793\) 0.632524 0.125817i 0.0224616 0.00446789i
\(794\) 25.2801 + 5.02852i 0.897157 + 0.178456i
\(795\) 0.168676 + 0.0150074i 0.00598231 + 0.000532257i
\(796\) −1.89659 2.83844i −0.0672227 0.100606i
\(797\) 8.11483 19.5909i 0.287442 0.693947i −0.712528 0.701643i \(-0.752450\pi\)
0.999970 + 0.00769679i \(0.00244999\pi\)
\(798\) −0.0172338 + 0.0172338i −0.000610070 + 0.000610070i
\(799\) 37.3449 5.13810i 1.32117 0.181773i
\(800\) −2.85581 4.10418i −0.100968 0.145105i
\(801\) 16.1519 + 38.9942i 0.570700 + 1.37779i
\(802\) 1.25820 6.32538i 0.0444285 0.223357i
\(803\) 4.58142 0.161675
\(804\) −0.184885 + 0.929478i −0.00652038 + 0.0327802i
\(805\) −0.462626 4.28244i −0.0163054 0.150936i
\(806\) −1.32421 + 0.263403i −0.0466435 + 0.00927796i
\(807\) 2.04950 0.848931i 0.0721459 0.0298838i
\(808\) −9.32675 + 3.86327i −0.328114 + 0.135909i
\(809\) −19.0230 + 3.78392i −0.668814 + 0.133035i −0.517807 0.855497i \(-0.673252\pi\)
−0.151007 + 0.988533i \(0.548252\pi\)
\(810\) −12.5331 + 15.5690i −0.440370 + 0.547038i
\(811\) −8.33142 + 41.8849i −0.292556 + 1.47078i 0.502677 + 0.864474i \(0.332348\pi\)
−0.795233 + 0.606304i \(0.792652\pi\)
\(812\) −1.38107 −0.0484662
\(813\) 0.292412 1.47005i 0.0102553 0.0515570i
\(814\) 3.14462 + 7.59178i 0.110219 + 0.266092i
\(815\) −28.1291 2.50270i −0.985318 0.0876656i
\(816\) −0.0203372 + 0.340693i −0.000711944 + 0.0119266i
\(817\) −1.68325 + 1.68325i −0.0588894 + 0.0588894i
\(818\) 4.46391 10.7768i 0.156077 0.376803i
\(819\) 0.0693448 + 0.103782i 0.00242310 + 0.00362643i
\(820\) 1.13292 12.7334i 0.0395631 0.444670i
\(821\) 27.6940 + 5.50868i 0.966528 + 0.192254i 0.653028 0.757334i \(-0.273498\pi\)
0.313500 + 0.949588i \(0.398498\pi\)
\(822\) −0.816925 + 0.162496i −0.0284935 + 0.00566772i
\(823\) 13.5628 + 9.06235i 0.472769 + 0.315894i 0.769030 0.639213i \(-0.220740\pi\)
−0.296261 + 0.955107i \(0.595740\pi\)
\(824\) −2.25597 + 5.44639i −0.0785904 + 0.189734i
\(825\) 0.130167 + 0.595436i 0.00453184 + 0.0207304i
\(826\) −0.110103 0.553525i −0.00383097 0.0192596i
\(827\) 3.30492 + 16.6149i 0.114923 + 0.577758i 0.994739 + 0.102443i \(0.0326660\pi\)
−0.879816 + 0.475315i \(0.842334\pi\)
\(828\) −18.5861 + 12.4189i −0.645912 + 0.431585i
\(829\) −38.9490 + 38.9490i −1.35276 + 1.35276i −0.470192 + 0.882564i \(0.655815\pi\)
−0.882564 + 0.470192i \(0.844185\pi\)
\(830\) −1.81220 + 6.18349i −0.0629024 + 0.214632i
\(831\) −0.529589 + 0.219363i −0.0183712 + 0.00760962i
\(832\) 0.114319 + 0.114319i 0.00396331 + 0.00396331i
\(833\) 14.4377 + 24.6737i 0.500238 + 0.854894i
\(834\) 0.289843i 0.0100364i
\(835\) −14.9923 47.7946i −0.518829 1.65400i
\(836\) −1.39769 + 0.933906i −0.0483401 + 0.0322998i
\(837\) 4.14301i 0.143203i
\(838\) 12.1907 + 18.2447i 0.421121 + 0.630253i
\(839\) 12.1553 18.1916i 0.419646 0.628045i −0.560067 0.828447i \(-0.689225\pi\)
0.979714 + 0.200402i \(0.0642248\pi\)
\(840\) 0.00512775 + 0.0474666i 0.000176924 + 0.00163775i
\(841\) −0.305896 0.126706i −0.0105481 0.00436919i
\(842\) −7.09362 17.1255i −0.244462 0.590184i
\(843\) −0.603667 + 0.903452i −0.0207914 + 0.0311165i
\(844\) 13.5475 + 9.05212i 0.466323 + 0.311587i
\(845\) 13.9162 + 25.4547i 0.478733 + 0.875670i
\(846\) −19.3505 19.3505i −0.665283 0.665283i
\(847\) 2.23416 + 0.444402i 0.0767667 + 0.0152698i
\(848\) 0.845248 + 0.350113i 0.0290259 + 0.0120229i
\(849\) −2.12121 −0.0727996
\(850\) −15.1591 + 13.9714i −0.519954 + 0.479216i
\(851\) 41.6727 1.42852
\(852\) −0.738766 0.306007i −0.0253097 0.0104836i
\(853\) 25.1477 + 5.00218i 0.861039 + 0.171271i 0.605810 0.795609i \(-0.292849\pi\)
0.255229 + 0.966881i \(0.417849\pi\)
\(854\) 0.727554 + 0.727554i 0.0248964 + 0.0248964i
\(855\) 3.66483 + 6.70349i 0.125335 + 0.229254i
\(856\) 9.89743 + 6.61325i 0.338287 + 0.226036i
\(857\) 5.18750 7.76364i 0.177202 0.265201i −0.732227 0.681060i \(-0.761519\pi\)
0.909429 + 0.415859i \(0.136519\pi\)
\(858\) −0.00754182 0.0182076i −0.000257474 0.000621596i
\(859\) −33.5333 13.8900i −1.14414 0.473919i −0.271577 0.962417i \(-0.587545\pi\)
−0.872565 + 0.488498i \(0.837545\pi\)
\(860\) 0.500834 + 4.63613i 0.0170783 + 0.158091i
\(861\) −0.0678162 + 0.101494i −0.00231117 + 0.00345891i
\(862\) −12.8943 19.2976i −0.439180 0.657279i
\(863\) 9.93626i 0.338234i 0.985596 + 0.169117i \(0.0540916\pi\)
−0.985596 + 0.169117i \(0.945908\pi\)
\(864\) 0.412489 0.275616i 0.0140332 0.00937666i
\(865\) 1.94252 + 6.19267i 0.0660478 + 0.210557i
\(866\) 16.5988i 0.564049i
\(867\) 1.40303 0.108394i 0.0476495 0.00368125i
\(868\) −1.52316 1.52316i −0.0516995 0.0516995i
\(869\) −0.974782 + 0.403768i −0.0330672 + 0.0136969i
\(870\) 0.278728 0.951061i 0.00944978 0.0322440i
\(871\) 1.30880 1.30880i 0.0443471 0.0443471i
\(872\) −11.4151 + 7.62731i −0.386563 + 0.258293i
\(873\) 2.05967 + 10.3547i 0.0697094 + 0.350453i
\(874\) 1.66312 + 8.36106i 0.0562558 + 0.282817i
\(875\) −1.76564 + 2.28011i −0.0596894 + 0.0770817i
\(876\) −0.0985507 + 0.237922i −0.00332972 + 0.00803866i
\(877\) 8.09697 + 5.41022i 0.273415 + 0.182690i 0.684717 0.728809i \(-0.259926\pi\)
−0.411302 + 0.911499i \(0.634926\pi\)
\(878\) 20.1023 3.99860i 0.678420 0.134946i
\(879\) 0.974586 + 0.193857i 0.0328720 + 0.00653864i
\(880\) −0.291821 + 3.27992i −0.00983729 + 0.110566i
\(881\) −21.9708 32.8816i −0.740215 1.10781i −0.990213 0.139564i \(-0.955430\pi\)
0.249998 0.968246i \(-0.419570\pi\)
\(882\) 7.94179 19.1732i 0.267414 0.645594i
\(883\) 18.9653 18.9653i 0.638234 0.638234i −0.311885 0.950120i \(-0.600961\pi\)
0.950120 + 0.311885i \(0.100961\pi\)
\(884\) 0.402706 0.531198i 0.0135445 0.0178661i
\(885\) 0.403399 + 0.0358912i 0.0135601 + 0.00120647i
\(886\) 9.64935 + 23.2956i 0.324176 + 0.782631i
\(887\) −1.28134 + 6.44173i −0.0430232 + 0.216292i −0.996316 0.0857546i \(-0.972670\pi\)
0.953293 + 0.302047i \(0.0976699\pi\)
\(888\) −0.461900 −0.0155004
\(889\) −1.07148 + 5.38667i −0.0359361 + 0.180663i
\(890\) 19.7723 24.5617i 0.662769 0.823308i
\(891\) 12.9099 2.56794i 0.432499 0.0860293i
\(892\) −12.5139 + 5.18342i −0.418996 + 0.173554i
\(893\) −9.64200 + 3.99385i −0.322657 + 0.133649i
\(894\) 1.43112 0.284668i 0.0478638 0.00952071i
\(895\) −4.97785 46.0790i −0.166391 1.54025i
\(896\) −0.0503208 + 0.252980i −0.00168110 + 0.00845146i
\(897\) −0.0999448 −0.00333706
\(898\) −6.11365 + 30.7354i −0.204015 + 1.02565i
\(899\) 17.1118 + 41.3114i 0.570709 + 1.37781i
\(900\) 14.7307 + 2.64215i 0.491022 + 0.0880715i
\(901\) 0.955066 3.64928i 0.0318179 0.121575i
\(902\) −5.95316 + 5.95316i −0.198219 + 0.198219i
\(903\) 0.0170393 0.0411365i 0.000567033 0.00136894i
\(904\) 6.03291 + 9.02889i 0.200652 + 0.300297i
\(905\) 19.1876 + 1.70716i 0.637819 + 0.0567480i
\(906\) −0.857113 0.170490i −0.0284757 0.00566416i
\(907\) −15.2735 + 3.03808i −0.507148 + 0.100878i −0.442031 0.897000i \(-0.645742\pi\)
−0.0651165 + 0.997878i \(0.520742\pi\)
\(908\) 15.7057 + 10.4942i 0.521212 + 0.348262i
\(909\) 11.5633 27.9163i 0.383531 0.925927i
\(910\) 0.0431780 0.0826470i 0.00143134 0.00273972i
\(911\) 10.1709 + 51.1324i 0.336976 + 1.69409i 0.662909 + 0.748700i \(0.269322\pi\)
−0.325933 + 0.945393i \(0.605678\pi\)
\(912\) −0.0184340 0.0926740i −0.000610411 0.00306874i
\(913\) 3.52841 2.35761i 0.116773 0.0780254i
\(914\) 28.6194 28.6194i 0.946644 0.946644i
\(915\) −0.647856 + 0.354187i −0.0214175 + 0.0117091i
\(916\) 2.81531 1.16614i 0.0930206 0.0385304i
\(917\) −3.60460 3.60460i −0.119034 0.119034i
\(918\) −1.35760 1.52997i −0.0448075 0.0504966i
\(919\) 29.2861i 0.966058i −0.875604 0.483029i \(-0.839536\pi\)
0.875604 0.483029i \(-0.160464\pi\)
\(920\) 14.8011 + 7.73269i 0.487979 + 0.254939i
\(921\) 0.888296 0.593540i 0.0292703 0.0195578i
\(922\) 29.2590i 0.963593i
\(923\) 0.867669 + 1.29856i 0.0285597 + 0.0427426i
\(924\) 0.0174684 0.0261433i 0.000574667 0.000860051i
\(925\) −20.0972 19.3526i −0.660792 0.636309i
\(926\) 3.25150 + 1.34681i 0.106851 + 0.0442591i
\(927\) −6.75245 16.3019i −0.221780 0.535423i
\(928\) 2.97471 4.45197i 0.0976496 0.146143i
\(929\) 11.1709 + 7.46413i 0.366504 + 0.244890i 0.725161 0.688579i \(-0.241765\pi\)
−0.358657 + 0.933469i \(0.616765\pi\)
\(930\) 1.35631 0.741504i 0.0444752 0.0243149i
\(931\) −5.59640 5.59640i −0.183415 0.183415i
\(932\) 12.8732 + 2.56065i 0.421677 + 0.0838767i
\(933\) −0.915941 0.379395i −0.0299866 0.0124208i
\(934\) 19.8759 0.650359
\(935\) 13.5613 0.651283i 0.443501 0.0212992i
\(936\) −0.483908 −0.0158170
\(937\) 21.9055 + 9.07356i 0.715622 + 0.296420i 0.710629 0.703567i \(-0.248411\pi\)
0.00499325 + 0.999988i \(0.498411\pi\)
\(938\) 2.89628 + 0.576105i 0.0945667 + 0.0188105i
\(939\) −1.38406 1.38406i −0.0451669 0.0451669i
\(940\) −5.74967 + 19.6187i −0.187534 + 0.639892i
\(941\) −8.08137 5.39980i −0.263445 0.176028i 0.416832 0.908984i \(-0.363140\pi\)
−0.680277 + 0.732955i \(0.738140\pi\)
\(942\) 0.536256 0.802564i 0.0174722 0.0261490i
\(943\) 16.3390 + 39.4458i 0.532071 + 1.28453i
\(944\) 2.02147 + 0.837319i 0.0657932 + 0.0272524i
\(945\) −0.222884 0.179423i −0.00725042 0.00583664i
\(946\) 1.70616 2.55345i 0.0554721 0.0830198i
\(947\) −21.2006 31.7290i −0.688928 1.03105i −0.996824 0.0796341i \(-0.974625\pi\)
0.307896 0.951420i \(-0.400375\pi\)
\(948\) 0.0593078i 0.00192623i
\(949\) 0.418206 0.279436i 0.0135755 0.00907089i
\(950\) 3.08077 4.80458i 0.0999535 0.155881i
\(951\) 1.04605i 0.0339205i
\(952\) 1.06161 + 0.0633712i 0.0344069 + 0.00205387i
\(953\) −25.0479 25.0479i −0.811382 0.811382i 0.173459 0.984841i \(-0.444506\pi\)
−0.984841 + 0.173459i \(0.944506\pi\)
\(954\) −2.52995 + 1.04794i −0.0819102 + 0.0339283i
\(955\) −10.1685 2.98010i −0.329046 0.0964338i
\(956\) −0.975009 + 0.975009i −0.0315340 + 0.0315340i
\(957\) −0.542693 + 0.362616i −0.0175428 + 0.0117217i
\(958\) −6.84962 34.4354i −0.221301 1.11256i
\(959\) 0.506343 + 2.54556i 0.0163507 + 0.0822003i
\(960\) −0.164056 0.0857092i −0.00529488 0.00276625i
\(961\) −14.8262 + 35.7936i −0.478265 + 1.15463i
\(962\) 0.750098 + 0.501200i 0.0241841 + 0.0161593i
\(963\) −34.9444 + 6.95088i −1.12607 + 0.223989i
\(964\) 15.5431 + 3.09171i 0.500609 + 0.0995774i
\(965\) 1.06511 0.891065i 0.0342871 0.0286844i
\(966\) −0.0885882 0.132582i −0.00285028 0.00426574i
\(967\) −1.41958 + 3.42717i −0.0456506 + 0.110210i −0.945060 0.326897i \(-0.893997\pi\)
0.899409 + 0.437107i \(0.143997\pi\)
\(968\) −6.24473 + 6.24473i −0.200713 + 0.200713i
\(969\) −0.368179 + 0.127377i −0.0118276 + 0.00409195i
\(970\) 6.04936 5.06086i 0.194233 0.162494i
\(971\) −9.25135 22.3347i −0.296890 0.716755i −0.999984 0.00565869i \(-0.998199\pi\)
0.703094 0.711097i \(-0.251801\pi\)
\(972\) −0.434697 + 2.18537i −0.0139429 + 0.0700957i
\(973\) −0.903156 −0.0289539
\(974\) −5.67470 + 28.5287i −0.181829 + 0.914117i
\(975\) 0.0481997 + 0.0464139i 0.00154363 + 0.00148643i
\(976\) −3.91239 + 0.778223i −0.125233 + 0.0249103i
\(977\) −14.2158 + 5.88840i −0.454805 + 0.188387i −0.598313 0.801263i \(-0.704162\pi\)
0.143507 + 0.989649i \(0.454162\pi\)
\(978\) −0.965848 + 0.400067i −0.0308844 + 0.0127927i
\(979\) −20.3667 + 4.05119i −0.650923 + 0.129477i
\(980\) −15.4140 + 1.66516i −0.492383 + 0.0531915i
\(981\) 8.01671 40.3027i 0.255954 1.28677i
\(982\) 40.7919 1.30172
\(983\) 6.32160 31.7808i 0.201628 1.01365i −0.738869 0.673849i \(-0.764640\pi\)
0.940497 0.339802i \(-0.110360\pi\)
\(984\) −0.181102 0.437218i −0.00577331 0.0139380i
\(985\) 3.76415 42.3071i 0.119936 1.34802i
\(986\) −19.8564 9.64864i −0.632355 0.307275i
\(987\) 0.138034 0.138034i 0.00439367 0.00439367i
\(988\) −0.0706232 + 0.170500i −0.00224682 + 0.00542431i
\(989\) −8.65253 12.9494i −0.275134 0.411768i
\(990\) −6.32425 7.55951i −0.200998 0.240257i
\(991\) −28.9831 5.76510i −0.920678 0.183134i −0.288073 0.957609i \(-0.593015\pi\)
−0.632605 + 0.774474i \(0.718015\pi\)
\(992\) 8.19075 1.62924i 0.260056 0.0517284i
\(993\) −1.59990 1.06902i −0.0507714 0.0339244i
\(994\) −0.953524 + 2.30201i −0.0302440 + 0.0730154i
\(995\) −2.28469 7.28348i −0.0724296 0.230902i
\(996\) 0.0465359 + 0.233952i 0.00147455 + 0.00741305i
\(997\) −4.17950 21.0118i −0.132366 0.665449i −0.988807 0.149203i \(-0.952329\pi\)
0.856441 0.516246i \(-0.172671\pi\)
\(998\) −15.0534 + 10.0584i −0.476507 + 0.318392i
\(999\) 1.95744 1.95744i 0.0619306 0.0619306i
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.o.a.63.2 yes 32
5.2 odd 4 170.2.r.a.97.2 yes 32
5.3 odd 4 850.2.v.c.607.3 32
5.4 even 2 850.2.s.c.743.3 32
17.10 odd 16 170.2.r.a.163.2 yes 32
85.27 even 16 inner 170.2.o.a.27.2 32
85.44 odd 16 850.2.v.c.843.3 32
85.78 even 16 850.2.s.c.707.3 32
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
170.2.o.a.27.2 32 85.27 even 16 inner
170.2.o.a.63.2 yes 32 1.1 even 1 trivial
170.2.r.a.97.2 yes 32 5.2 odd 4
170.2.r.a.163.2 yes 32 17.10 odd 16
850.2.s.c.707.3 32 85.78 even 16
850.2.s.c.743.3 32 5.4 even 2
850.2.v.c.607.3 32 5.3 odd 4
850.2.v.c.843.3 32 85.44 odd 16