Properties

Label 322.2.i.a.127.1
Level $322$
Weight $2$
Character 322.127
Analytic conductor $2.571$
Analytic rank $0$
Dimension $10$
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] = [322,2,Mod(29,322)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(322, base_ring=CyclotomicField(22))
 
chi = DirichletCharacter(H, H._module([0, 18]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("322.29");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 322 = 2 \cdot 7 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 322.i (of order \(11\), degree \(10\), 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: \(2.57118294509\)
Analytic rank: \(0\)
Dimension: \(10\)
Coefficient field: \(\Q(\zeta_{22})\)
comment: defining polynomial
 
gp: f.mod \\ as an extension of the character field
 
Defining polynomial: \( x^{10} - x^{9} + x^{8} - x^{7} + x^{6} - x^{5} + x^{4} - x^{3} + x^{2} - x + 1 \) Copy content Toggle raw display
Coefficient ring: \(\Z[a_1, a_2]\)
Coefficient ring index: \( 1 \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{11}]$

Embedding invariants

Embedding label 127.1
Root \(0.142315 + 0.989821i\) of defining polynomial
Character \(\chi\) \(=\) 322.127
Dual form 322.2.i.a.71.1

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-0.841254 + 0.540641i) q^{2} +(0.130785 - 0.909632i) q^{3} +(0.415415 - 0.909632i) q^{4} +(2.30075 - 0.675560i) q^{5} +(0.381761 + 0.835939i) q^{6} +(0.654861 + 0.755750i) q^{7} +(0.142315 + 0.989821i) q^{8} +(2.06815 + 0.607265i) q^{9} +O(q^{10})\) \(q+(-0.841254 + 0.540641i) q^{2} +(0.130785 - 0.909632i) q^{3} +(0.415415 - 0.909632i) q^{4} +(2.30075 - 0.675560i) q^{5} +(0.381761 + 0.835939i) q^{6} +(0.654861 + 0.755750i) q^{7} +(0.142315 + 0.989821i) q^{8} +(2.06815 + 0.607265i) q^{9} +(-1.57028 + 1.81219i) q^{10} +(-3.45561 - 2.22078i) q^{11} +(-0.773100 - 0.496841i) q^{12} +(0.442270 - 0.510407i) q^{13} +(-0.959493 - 0.281733i) q^{14} +(-0.313607 - 2.18119i) q^{15} +(-0.654861 - 0.755750i) q^{16} +(1.52357 + 3.33616i) q^{17} +(-2.06815 + 0.607265i) q^{18} +(1.75667 - 3.84657i) q^{19} +(0.341254 - 2.37347i) q^{20} +(0.773100 - 0.496841i) q^{21} +4.10769 q^{22} +(3.21727 - 3.55657i) q^{23} +0.918986 q^{24} +(0.630785 - 0.405381i) q^{25} +(-0.0961145 + 0.668491i) q^{26} +(1.96815 - 4.30965i) q^{27} +(0.959493 - 0.281733i) q^{28} +(-0.445841 - 0.976256i) q^{29} +(1.44306 + 1.66538i) q^{30} +(0.525092 + 3.65209i) q^{31} +(0.959493 + 0.281733i) q^{32} +(-2.47204 + 2.85288i) q^{33} +(-3.08538 - 1.98285i) q^{34} +(2.01722 + 1.29639i) q^{35} +(1.41153 - 1.62899i) q^{36} +(8.25654 + 2.42434i) q^{37} +(0.601808 + 4.18567i) q^{38} +(-0.406440 - 0.469057i) q^{39} +(0.996114 + 2.18119i) q^{40} +(-4.74788 + 1.39410i) q^{41} +(-0.381761 + 0.835939i) q^{42} +(-0.187094 + 1.30127i) q^{43} +(-3.45561 + 2.22078i) q^{44} +5.16854 q^{45} +(-0.783711 + 4.73136i) q^{46} -2.95001 q^{47} +(-0.773100 + 0.496841i) q^{48} +(-0.142315 + 0.989821i) q^{49} +(-0.311485 + 0.682057i) q^{50} +(3.23394 - 0.949570i) q^{51} +(-0.280557 - 0.614334i) q^{52} +(-7.47107 - 8.62207i) q^{53} +(0.674259 + 4.68958i) q^{54} +(-9.45075 - 2.77499i) q^{55} +(-0.654861 + 0.755750i) q^{56} +(-3.26921 - 2.10100i) q^{57} +(0.902869 + 0.580239i) q^{58} +(-2.85848 + 3.29886i) q^{59} +(-2.11435 - 0.620830i) q^{60} +(0.699730 + 4.86673i) q^{61} +(-2.41621 - 2.78845i) q^{62} +(0.895412 + 1.96068i) q^{63} +(-0.959493 + 0.281733i) q^{64} +(0.672741 - 1.47310i) q^{65} +(0.537225 - 3.73648i) q^{66} +(2.97001 - 1.90871i) q^{67} +3.66759 q^{68} +(-2.81440 - 3.39168i) q^{69} -2.39788 q^{70} +(-4.59845 + 2.95525i) q^{71} +(-0.306755 + 2.13353i) q^{72} +(-1.85763 + 4.06765i) q^{73} +(-8.25654 + 2.42434i) q^{74} +(-0.286250 - 0.626800i) q^{75} +(-2.76921 - 3.19584i) q^{76} +(-0.584585 - 4.06588i) q^{77} +(0.595510 + 0.174858i) q^{78} +(-7.31964 + 8.44732i) q^{79} +(-2.01722 - 1.29639i) q^{80} +(1.77708 + 1.14206i) q^{81} +(3.24046 - 3.73969i) q^{82} +(-16.4238 - 4.82245i) q^{83} +(-0.130785 - 0.909632i) q^{84} +(5.75913 + 6.64639i) q^{85} +(-0.546126 - 1.19585i) q^{86} +(-0.946343 + 0.277871i) q^{87} +(1.70640 - 3.73648i) q^{88} +(-1.92745 + 13.4057i) q^{89} +(-4.34805 + 2.79432i) q^{90} +0.675365 q^{91} +(-1.89867 - 4.40398i) q^{92} +3.39074 q^{93} +(2.48171 - 1.59490i) q^{94} +(1.44306 - 10.0367i) q^{95} +(0.381761 - 0.835939i) q^{96} +(7.13787 - 2.09587i) q^{97} +(-0.415415 - 0.909632i) q^{98} +(-5.79812 - 6.69139i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 10 q + q^{2} - 3 q^{3} - q^{4} + 5 q^{5} + 3 q^{6} + q^{7} + q^{8} + 16 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 10 q + q^{2} - 3 q^{3} - q^{4} + 5 q^{5} + 3 q^{6} + q^{7} + q^{8} + 16 q^{9} - 5 q^{10} - 11 q^{11} - 3 q^{12} + 10 q^{13} - q^{14} - 7 q^{15} - q^{16} + q^{17} - 16 q^{18} + 3 q^{19} - 6 q^{20} + 3 q^{21} + 12 q^{23} - 8 q^{24} + 2 q^{25} - 10 q^{26} - 9 q^{27} + q^{28} + 2 q^{29} - 4 q^{30} - 5 q^{31} + q^{32} - 11 q^{33} - 12 q^{34} + 6 q^{35} - 6 q^{36} + 27 q^{37} - 3 q^{38} + 8 q^{39} - 5 q^{40} - 12 q^{41} - 3 q^{42} + 38 q^{43} - 11 q^{44} + 8 q^{45} + 10 q^{46} + 2 q^{47} - 3 q^{48} - q^{49} - 13 q^{50} + 36 q^{51} - q^{52} - 16 q^{53} + 9 q^{54} - 11 q^{55} - q^{56} - 13 q^{57} + 9 q^{58} - 5 q^{59} - 7 q^{60} - 26 q^{61} + 5 q^{62} + 6 q^{63} - q^{64} + 5 q^{65} - 11 q^{66} - 4 q^{67} + 12 q^{68} - 8 q^{69} - 6 q^{70} + q^{71} + 6 q^{72} + 9 q^{73} - 27 q^{74} + 17 q^{75} - 8 q^{76} - 11 q^{77} + 25 q^{78} - 50 q^{79} - 6 q^{80} + 2 q^{81} + 23 q^{82} - 29 q^{83} + 3 q^{84} + 28 q^{85} + 17 q^{86} - 16 q^{87} + 11 q^{88} + 7 q^{89} - 19 q^{90} + 12 q^{91} + 23 q^{92} + 40 q^{93} + 20 q^{94} - 4 q^{95} + 3 q^{96} + 12 q^{97} + q^{98} - 33 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/322\mathbb{Z}\right)^\times\).

\(n\) \(185\) \(281\)
\(\chi(n)\) \(1\) \(e\left(\frac{10}{11}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.841254 + 0.540641i −0.594856 + 0.382291i
\(3\) 0.130785 0.909632i 0.0755089 0.525176i −0.916601 0.399804i \(-0.869078\pi\)
0.992110 0.125373i \(-0.0400126\pi\)
\(4\) 0.415415 0.909632i 0.207708 0.454816i
\(5\) 2.30075 0.675560i 1.02893 0.302120i 0.276651 0.960970i \(-0.410775\pi\)
0.752274 + 0.658851i \(0.228957\pi\)
\(6\) 0.381761 + 0.835939i 0.155853 + 0.341271i
\(7\) 0.654861 + 0.755750i 0.247514 + 0.285646i
\(8\) 0.142315 + 0.989821i 0.0503159 + 0.349955i
\(9\) 2.06815 + 0.607265i 0.689384 + 0.202422i
\(10\) −1.57028 + 1.81219i −0.496565 + 0.573066i
\(11\) −3.45561 2.22078i −1.04190 0.669592i −0.0964476 0.995338i \(-0.530748\pi\)
−0.945457 + 0.325747i \(0.894384\pi\)
\(12\) −0.773100 0.496841i −0.223175 0.143426i
\(13\) 0.442270 0.510407i 0.122664 0.141561i −0.691096 0.722763i \(-0.742872\pi\)
0.813760 + 0.581202i \(0.197417\pi\)
\(14\) −0.959493 0.281733i −0.256435 0.0752962i
\(15\) −0.313607 2.18119i −0.0809730 0.563180i
\(16\) −0.654861 0.755750i −0.163715 0.188937i
\(17\) 1.52357 + 3.33616i 0.369521 + 0.809138i 0.999472 + 0.0325028i \(0.0103478\pi\)
−0.629951 + 0.776635i \(0.716925\pi\)
\(18\) −2.06815 + 0.607265i −0.487468 + 0.143134i
\(19\) 1.75667 3.84657i 0.403007 0.882463i −0.593949 0.804503i \(-0.702432\pi\)
0.996956 0.0779605i \(-0.0248408\pi\)
\(20\) 0.341254 2.37347i 0.0763066 0.530724i
\(21\) 0.773100 0.496841i 0.168704 0.108420i
\(22\) 4.10769 0.875762
\(23\) 3.21727 3.55657i 0.670847 0.741596i
\(24\) 0.918986 0.187587
\(25\) 0.630785 0.405381i 0.126157 0.0810762i
\(26\) −0.0961145 + 0.668491i −0.0188496 + 0.131102i
\(27\) 1.96815 4.30965i 0.378771 0.829393i
\(28\) 0.959493 0.281733i 0.181327 0.0532424i
\(29\) −0.445841 0.976256i −0.0827906 0.181286i 0.863709 0.503990i \(-0.168135\pi\)
−0.946500 + 0.322704i \(0.895408\pi\)
\(30\) 1.44306 + 1.66538i 0.263466 + 0.304056i
\(31\) 0.525092 + 3.65209i 0.0943093 + 0.655935i 0.981062 + 0.193692i \(0.0620463\pi\)
−0.886753 + 0.462243i \(0.847045\pi\)
\(32\) 0.959493 + 0.281733i 0.169616 + 0.0498038i
\(33\) −2.47204 + 2.85288i −0.430327 + 0.496624i
\(34\) −3.08538 1.98285i −0.529138 0.340056i
\(35\) 2.01722 + 1.29639i 0.340973 + 0.219130i
\(36\) 1.41153 1.62899i 0.235255 0.271499i
\(37\) 8.25654 + 2.42434i 1.35737 + 0.398559i 0.877834 0.478965i \(-0.158988\pi\)
0.479533 + 0.877524i \(0.340806\pi\)
\(38\) 0.601808 + 4.18567i 0.0976261 + 0.679005i
\(39\) −0.406440 0.469057i −0.0650825 0.0751092i
\(40\) 0.996114 + 2.18119i 0.157499 + 0.344876i
\(41\) −4.74788 + 1.39410i −0.741494 + 0.217722i −0.630598 0.776110i \(-0.717190\pi\)
−0.110896 + 0.993832i \(0.535372\pi\)
\(42\) −0.381761 + 0.835939i −0.0589069 + 0.128988i
\(43\) −0.187094 + 1.30127i −0.0285316 + 0.198442i −0.999102 0.0423771i \(-0.986507\pi\)
0.970570 + 0.240819i \(0.0774160\pi\)
\(44\) −3.45561 + 2.22078i −0.520952 + 0.334796i
\(45\) 5.16854 0.770481
\(46\) −0.783711 + 4.73136i −0.115552 + 0.697601i
\(47\) −2.95001 −0.430303 −0.215152 0.976581i \(-0.569025\pi\)
−0.215152 + 0.976581i \(0.569025\pi\)
\(48\) −0.773100 + 0.496841i −0.111587 + 0.0717129i
\(49\) −0.142315 + 0.989821i −0.0203307 + 0.141403i
\(50\) −0.311485 + 0.682057i −0.0440506 + 0.0964574i
\(51\) 3.23394 0.949570i 0.452842 0.132966i
\(52\) −0.280557 0.614334i −0.0389062 0.0851928i
\(53\) −7.47107 8.62207i −1.02623 1.18433i −0.982686 0.185281i \(-0.940680\pi\)
−0.0435444 0.999051i \(-0.513865\pi\)
\(54\) 0.674259 + 4.68958i 0.0917551 + 0.638170i
\(55\) −9.45075 2.77499i −1.27434 0.374180i
\(56\) −0.654861 + 0.755750i −0.0875094 + 0.100991i
\(57\) −3.26921 2.10100i −0.433018 0.278284i
\(58\) 0.902869 + 0.580239i 0.118553 + 0.0761891i
\(59\) −2.85848 + 3.29886i −0.372142 + 0.429475i −0.910671 0.413132i \(-0.864435\pi\)
0.538529 + 0.842607i \(0.318980\pi\)
\(60\) −2.11435 0.620830i −0.272962 0.0801488i
\(61\) 0.699730 + 4.86673i 0.0895912 + 0.623121i 0.984304 + 0.176479i \(0.0564709\pi\)
−0.894713 + 0.446641i \(0.852620\pi\)
\(62\) −2.41621 2.78845i −0.306858 0.354134i
\(63\) 0.895412 + 1.96068i 0.112811 + 0.247022i
\(64\) −0.959493 + 0.281733i −0.119937 + 0.0352166i
\(65\) 0.672741 1.47310i 0.0834432 0.182715i
\(66\) 0.537225 3.73648i 0.0661279 0.459929i
\(67\) 2.97001 1.90871i 0.362845 0.233186i −0.346497 0.938051i \(-0.612629\pi\)
0.709342 + 0.704865i \(0.248992\pi\)
\(68\) 3.66759 0.444761
\(69\) −2.81440 3.39168i −0.338814 0.408310i
\(70\) −2.39788 −0.286601
\(71\) −4.59845 + 2.95525i −0.545736 + 0.350723i −0.784279 0.620409i \(-0.786967\pi\)
0.238543 + 0.971132i \(0.423330\pi\)
\(72\) −0.306755 + 2.13353i −0.0361514 + 0.251438i
\(73\) −1.85763 + 4.06765i −0.217419 + 0.476082i −0.986643 0.162898i \(-0.947916\pi\)
0.769224 + 0.638980i \(0.220643\pi\)
\(74\) −8.25654 + 2.42434i −0.959803 + 0.281824i
\(75\) −0.286250 0.626800i −0.0330533 0.0723767i
\(76\) −2.76921 3.19584i −0.317651 0.366588i
\(77\) −0.584585 4.06588i −0.0666196 0.463350i
\(78\) 0.595510 + 0.174858i 0.0674283 + 0.0197987i
\(79\) −7.31964 + 8.44732i −0.823524 + 0.950398i −0.999421 0.0340110i \(-0.989172\pi\)
0.175897 + 0.984409i \(0.443717\pi\)
\(80\) −2.01722 1.29639i −0.225532 0.144941i
\(81\) 1.77708 + 1.14206i 0.197454 + 0.126896i
\(82\) 3.24046 3.73969i 0.357849 0.412980i
\(83\) −16.4238 4.82245i −1.80274 0.529333i −0.804806 0.593538i \(-0.797731\pi\)
−0.997937 + 0.0642052i \(0.979549\pi\)
\(84\) −0.130785 0.909632i −0.0142699 0.0992490i
\(85\) 5.75913 + 6.64639i 0.624666 + 0.720903i
\(86\) −0.546126 1.19585i −0.0588903 0.128952i
\(87\) −0.946343 + 0.277871i −0.101459 + 0.0297909i
\(88\) 1.70640 3.73648i 0.181902 0.398311i
\(89\) −1.92745 + 13.4057i −0.204310 + 1.42101i 0.586998 + 0.809588i \(0.300309\pi\)
−0.791308 + 0.611417i \(0.790600\pi\)
\(90\) −4.34805 + 2.79432i −0.458325 + 0.294548i
\(91\) 0.675365 0.0707975
\(92\) −1.89867 4.40398i −0.197950 0.459147i
\(93\) 3.39074 0.351603
\(94\) 2.48171 1.59490i 0.255969 0.164501i
\(95\) 1.44306 10.0367i 0.148055 1.02974i
\(96\) 0.381761 0.835939i 0.0389633 0.0853177i
\(97\) 7.13787 2.09587i 0.724741 0.212803i 0.101503 0.994835i \(-0.467635\pi\)
0.623238 + 0.782032i \(0.285817\pi\)
\(98\) −0.415415 0.909632i −0.0419633 0.0918867i
\(99\) −5.79812 6.69139i −0.582733 0.672510i
\(100\) −0.106710 0.742184i −0.0106710 0.0742184i
\(101\) −16.3844 4.81091i −1.63031 0.478703i −0.666550 0.745461i \(-0.732230\pi\)
−0.963764 + 0.266757i \(0.914048\pi\)
\(102\) −2.20719 + 2.54723i −0.218544 + 0.252213i
\(103\) −1.56061 1.00294i −0.153771 0.0988227i 0.461493 0.887144i \(-0.347314\pi\)
−0.615264 + 0.788321i \(0.710950\pi\)
\(104\) 0.568153 + 0.365130i 0.0557120 + 0.0358039i
\(105\) 1.44306 1.66538i 0.140828 0.162525i
\(106\) 10.9465 + 3.21418i 1.06322 + 0.312189i
\(107\) 2.24926 + 15.6440i 0.217444 + 1.51236i 0.747424 + 0.664348i \(0.231291\pi\)
−0.529980 + 0.848010i \(0.677800\pi\)
\(108\) −3.10260 3.58059i −0.298548 0.344542i
\(109\) 5.63866 + 12.3469i 0.540086 + 1.18262i 0.961260 + 0.275643i \(0.0888908\pi\)
−0.421174 + 0.906980i \(0.638382\pi\)
\(110\) 9.45075 2.77499i 0.901094 0.264585i
\(111\) 3.28509 7.19335i 0.311807 0.682762i
\(112\) 0.142315 0.989821i 0.0134475 0.0935293i
\(113\) 5.16236 3.31765i 0.485634 0.312098i −0.274813 0.961498i \(-0.588616\pi\)
0.760447 + 0.649400i \(0.224980\pi\)
\(114\) 3.88612 0.363969
\(115\) 4.99944 10.3562i 0.466200 0.965723i
\(116\) −1.07324 −0.0996481
\(117\) 1.22463 0.787025i 0.113218 0.0727605i
\(118\) 0.621206 4.32058i 0.0571867 0.397742i
\(119\) −1.52357 + 3.33616i −0.139666 + 0.305825i
\(120\) 2.11435 0.620830i 0.193013 0.0566738i
\(121\) 2.43978 + 5.34236i 0.221798 + 0.485669i
\(122\) −3.21980 3.71585i −0.291507 0.336417i
\(123\) 0.647168 + 4.50115i 0.0583532 + 0.405855i
\(124\) 3.54019 + 1.03949i 0.317919 + 0.0933493i
\(125\) −6.67396 + 7.70216i −0.596937 + 0.688902i
\(126\) −1.81329 1.16533i −0.161541 0.103816i
\(127\) 8.50112 + 5.46334i 0.754352 + 0.484793i 0.860432 0.509565i \(-0.170194\pi\)
−0.106080 + 0.994358i \(0.533830\pi\)
\(128\) 0.654861 0.755750i 0.0578821 0.0667995i
\(129\) 1.15921 + 0.340374i 0.102063 + 0.0299683i
\(130\) 0.230471 + 1.60296i 0.0202136 + 0.140589i
\(131\) 2.63422 + 3.04005i 0.230153 + 0.265611i 0.859066 0.511865i \(-0.171045\pi\)
−0.628913 + 0.777476i \(0.716500\pi\)
\(132\) 1.56815 + 3.43378i 0.136490 + 0.298872i
\(133\) 4.05742 1.19136i 0.351823 0.103304i
\(134\) −1.46661 + 3.21142i −0.126696 + 0.277425i
\(135\) 1.61679 11.2450i 0.139151 0.967818i
\(136\) −3.08538 + 1.98285i −0.264569 + 0.170028i
\(137\) −7.56840 −0.646612 −0.323306 0.946295i \(-0.604794\pi\)
−0.323306 + 0.946295i \(0.604794\pi\)
\(138\) 4.20130 + 1.33168i 0.357639 + 0.113360i
\(139\) −15.7758 −1.33808 −0.669042 0.743225i \(-0.733295\pi\)
−0.669042 + 0.743225i \(0.733295\pi\)
\(140\) 2.01722 1.29639i 0.170486 0.109565i
\(141\) −0.385818 + 2.68342i −0.0324918 + 0.225985i
\(142\) 2.27074 4.97222i 0.190556 0.417260i
\(143\) −2.66182 + 0.781580i −0.222592 + 0.0653590i
\(144\) −0.895412 1.96068i −0.0746177 0.163390i
\(145\) −1.68529 1.94492i −0.139955 0.161517i
\(146\) −0.636396 4.42623i −0.0526685 0.366318i
\(147\) 0.881761 + 0.258908i 0.0727264 + 0.0213544i
\(148\) 5.63515 6.50331i 0.463206 0.534569i
\(149\) 11.3073 + 7.26676i 0.926330 + 0.595316i 0.914488 0.404614i \(-0.132594\pi\)
0.0118421 + 0.999930i \(0.496230\pi\)
\(150\) 0.579683 + 0.372540i 0.0473309 + 0.0304177i
\(151\) 10.6288 12.2663i 0.864960 0.998217i −0.135013 0.990844i \(-0.543108\pi\)
0.999973 0.00737306i \(-0.00234694\pi\)
\(152\) 4.05742 + 1.19136i 0.329100 + 0.0966324i
\(153\) 1.12505 + 7.82490i 0.0909550 + 0.632606i
\(154\) 2.68996 + 3.10438i 0.216763 + 0.250158i
\(155\) 3.67531 + 8.04781i 0.295208 + 0.646416i
\(156\) −0.595510 + 0.174858i −0.0476790 + 0.0139998i
\(157\) 2.14382 4.69432i 0.171096 0.374648i −0.804587 0.593835i \(-0.797613\pi\)
0.975683 + 0.219187i \(0.0703406\pi\)
\(158\) 1.59071 11.0636i 0.126550 0.880175i
\(159\) −8.82002 + 5.66828i −0.699473 + 0.449524i
\(160\) 2.39788 0.189569
\(161\) 4.79474 + 0.102391i 0.377878 + 0.00806951i
\(162\) −2.11242 −0.165968
\(163\) 10.0169 6.43748i 0.784585 0.504222i −0.0859671 0.996298i \(-0.527398\pi\)
0.870552 + 0.492076i \(0.163762\pi\)
\(164\) −0.704220 + 4.89796i −0.0549903 + 0.382466i
\(165\) −3.76024 + 8.23378i −0.292734 + 0.640999i
\(166\) 16.4238 4.82245i 1.27473 0.374295i
\(167\) 6.02961 + 13.2030i 0.466585 + 1.02168i 0.985937 + 0.167118i \(0.0534462\pi\)
−0.519352 + 0.854561i \(0.673827\pi\)
\(168\) 0.601808 + 0.694523i 0.0464305 + 0.0535836i
\(169\) 1.78518 + 12.4162i 0.137322 + 0.955093i
\(170\) −8.43820 2.47768i −0.647181 0.190029i
\(171\) 5.96894 6.88853i 0.456457 0.526779i
\(172\) 1.10596 + 0.710754i 0.0843283 + 0.0541945i
\(173\) −9.63976 6.19510i −0.732897 0.471004i 0.120204 0.992749i \(-0.461645\pi\)
−0.853102 + 0.521745i \(0.825281\pi\)
\(174\) 0.645886 0.745392i 0.0489645 0.0565080i
\(175\) 0.719443 + 0.211248i 0.0543848 + 0.0159688i
\(176\) 0.584585 + 4.06588i 0.0440648 + 0.306477i
\(177\) 2.62690 + 3.03160i 0.197450 + 0.227869i
\(178\) −5.62621 12.3197i −0.421702 0.923400i
\(179\) 9.03335 2.65243i 0.675184 0.198252i 0.0738738 0.997268i \(-0.476464\pi\)
0.601310 + 0.799016i \(0.294646\pi\)
\(180\) 2.14709 4.70147i 0.160035 0.350427i
\(181\) 2.28347 15.8819i 0.169729 1.18049i −0.709714 0.704490i \(-0.751176\pi\)
0.879443 0.476004i \(-0.157915\pi\)
\(182\) −0.568153 + 0.365130i −0.0421143 + 0.0270652i
\(183\) 4.51845 0.334013
\(184\) 3.97823 + 2.67837i 0.293279 + 0.197452i
\(185\) 20.6340 1.51704
\(186\) −2.85247 + 1.83317i −0.209153 + 0.134415i
\(187\) 2.14402 14.9120i 0.156786 1.09047i
\(188\) −1.22548 + 2.68342i −0.0893772 + 0.195709i
\(189\) 4.54589 1.33479i 0.330665 0.0970919i
\(190\) 4.21228 + 9.22360i 0.305591 + 0.669150i
\(191\) −8.13325 9.38627i −0.588501 0.679167i 0.380909 0.924613i \(-0.375611\pi\)
−0.969410 + 0.245446i \(0.921066\pi\)
\(192\) 0.130785 + 0.909632i 0.00943862 + 0.0656470i
\(193\) −3.03327 0.890647i −0.218339 0.0641102i 0.170733 0.985317i \(-0.445386\pi\)
−0.389073 + 0.921207i \(0.627205\pi\)
\(194\) −4.87165 + 5.62218i −0.349764 + 0.403649i
\(195\) −1.25199 0.804606i −0.0896570 0.0576190i
\(196\) 0.841254 + 0.540641i 0.0600895 + 0.0386172i
\(197\) 10.8149 12.4811i 0.770530 0.889239i −0.225858 0.974160i \(-0.572518\pi\)
0.996388 + 0.0849214i \(0.0270639\pi\)
\(198\) 8.49533 + 2.49445i 0.603737 + 0.177273i
\(199\) 0.298639 + 2.07708i 0.0211700 + 0.147240i 0.997665 0.0683004i \(-0.0217576\pi\)
−0.976495 + 0.215541i \(0.930849\pi\)
\(200\) 0.491025 + 0.566673i 0.0347207 + 0.0400698i
\(201\) −1.34779 2.95125i −0.0950659 0.208165i
\(202\) 16.3844 4.81091i 1.15281 0.338494i
\(203\) 0.445841 0.976256i 0.0312919 0.0685197i
\(204\) 0.479667 3.33616i 0.0335834 0.233578i
\(205\) −9.98187 + 6.41496i −0.697164 + 0.448040i
\(206\) 1.85510 0.129251
\(207\) 8.81358 5.40180i 0.612586 0.375451i
\(208\) −0.675365 −0.0468282
\(209\) −14.6128 + 9.39105i −1.01079 + 0.649592i
\(210\) −0.313607 + 2.18119i −0.0216410 + 0.150516i
\(211\) −9.82295 + 21.5093i −0.676240 + 1.48076i 0.190339 + 0.981718i \(0.439041\pi\)
−0.866579 + 0.499040i \(0.833686\pi\)
\(212\) −10.9465 + 3.21418i −0.751809 + 0.220751i
\(213\) 2.08678 + 4.56940i 0.142984 + 0.313090i
\(214\) −10.3500 11.9445i −0.707509 0.816508i
\(215\) 0.448629 + 3.12029i 0.0305963 + 0.212802i
\(216\) 4.54589 + 1.33479i 0.309308 + 0.0908211i
\(217\) −2.41621 + 2.78845i −0.164023 + 0.189292i
\(218\) −11.4188 7.33842i −0.773379 0.497021i
\(219\) 3.45711 + 2.22175i 0.233610 + 0.150132i
\(220\) −6.45020 + 7.44393i −0.434873 + 0.501870i
\(221\) 2.37663 + 0.697842i 0.159869 + 0.0469419i
\(222\) 1.12542 + 7.82748i 0.0755334 + 0.525346i
\(223\) −7.96383 9.19075i −0.533298 0.615458i 0.423612 0.905844i \(-0.360762\pi\)
−0.956910 + 0.290385i \(0.906217\pi\)
\(224\) 0.415415 + 0.909632i 0.0277561 + 0.0607773i
\(225\) 1.55073 0.455337i 0.103382 0.0303558i
\(226\) −2.54920 + 5.58197i −0.169570 + 0.371307i
\(227\) 1.23312 8.57654i 0.0818451 0.569245i −0.907095 0.420927i \(-0.861705\pi\)
0.988940 0.148318i \(-0.0473860\pi\)
\(228\) −3.26921 + 2.10100i −0.216509 + 0.139142i
\(229\) −20.9606 −1.38512 −0.692558 0.721362i \(-0.743516\pi\)
−0.692558 + 0.721362i \(0.743516\pi\)
\(230\) 1.39320 + 11.4151i 0.0918649 + 0.752690i
\(231\) −3.77491 −0.248371
\(232\) 0.902869 0.580239i 0.0592763 0.0380945i
\(233\) 2.98504 20.7614i 0.195556 1.36012i −0.621431 0.783469i \(-0.713448\pi\)
0.816988 0.576655i \(-0.195642\pi\)
\(234\) −0.604730 + 1.32417i −0.0395325 + 0.0865640i
\(235\) −6.78723 + 1.99291i −0.442750 + 0.130003i
\(236\) 1.81329 + 3.97056i 0.118035 + 0.258461i
\(237\) 6.72665 + 7.76297i 0.436943 + 0.504259i
\(238\) −0.521953 3.63026i −0.0338332 0.235315i
\(239\) −27.5160 8.07943i −1.77986 0.522615i −0.784615 0.619983i \(-0.787139\pi\)
−0.995248 + 0.0973681i \(0.968958\pi\)
\(240\) −1.44306 + 1.66538i −0.0931492 + 0.107500i
\(241\) 5.04396 + 3.24156i 0.324910 + 0.208807i 0.692919 0.721015i \(-0.256324\pi\)
−0.368009 + 0.929822i \(0.619961\pi\)
\(242\) −4.94077 3.17524i −0.317605 0.204112i
\(243\) 10.5791 12.2089i 0.678648 0.783201i
\(244\) 4.71761 + 1.38522i 0.302014 + 0.0886793i
\(245\) 0.341254 + 2.37347i 0.0218019 + 0.151635i
\(246\) −2.97794 3.43672i −0.189866 0.219118i
\(247\) −1.18639 2.59784i −0.0754884 0.165296i
\(248\) −3.54019 + 1.03949i −0.224802 + 0.0660079i
\(249\) −6.53465 + 14.3089i −0.414116 + 0.906788i
\(250\) 1.45039 10.0877i 0.0917307 0.638001i
\(251\) 18.1802 11.6837i 1.14752 0.737469i 0.178380 0.983962i \(-0.442915\pi\)
0.969145 + 0.246493i \(0.0792782\pi\)
\(252\) 2.15546 0.135782
\(253\) −19.0160 + 5.14525i −1.19552 + 0.323479i
\(254\) −10.1053 −0.634063
\(255\) 6.79898 4.36944i 0.425769 0.273625i
\(256\) −0.142315 + 0.989821i −0.00889468 + 0.0618638i
\(257\) −0.600210 + 1.31428i −0.0374401 + 0.0819824i −0.927428 0.374002i \(-0.877985\pi\)
0.889988 + 0.455984i \(0.150713\pi\)
\(258\) −1.15921 + 0.340374i −0.0721691 + 0.0211908i
\(259\) 3.57469 + 7.82748i 0.222120 + 0.486376i
\(260\) −1.06051 1.22389i −0.0657700 0.0759026i
\(261\) −0.329222 2.28979i −0.0203783 0.141734i
\(262\) −3.85963 1.13329i −0.238449 0.0700148i
\(263\) −0.729441 + 0.841819i −0.0449792 + 0.0519088i −0.777793 0.628520i \(-0.783661\pi\)
0.732814 + 0.680429i \(0.238206\pi\)
\(264\) −3.17565 2.04087i −0.195448 0.125607i
\(265\) −23.0138 14.7900i −1.41372 0.908545i
\(266\) −2.76921 + 3.19584i −0.169791 + 0.195950i
\(267\) 11.9422 + 3.50655i 0.730851 + 0.214597i
\(268\) −0.502437 3.49453i −0.0306912 0.213462i
\(269\) −9.27793 10.7073i −0.565686 0.652836i 0.398779 0.917047i \(-0.369434\pi\)
−0.964465 + 0.264211i \(0.914888\pi\)
\(270\) 4.71939 + 10.3340i 0.287213 + 0.628909i
\(271\) −28.6766 + 8.42020i −1.74198 + 0.511490i −0.989173 0.146755i \(-0.953117\pi\)
−0.752804 + 0.658245i \(0.771299\pi\)
\(272\) 1.52357 3.33616i 0.0923802 0.202284i
\(273\) 0.0883279 0.614334i 0.00534585 0.0371812i
\(274\) 6.36694 4.09178i 0.384641 0.247194i
\(275\) −3.08001 −0.185732
\(276\) −4.25432 + 1.15111i −0.256080 + 0.0692889i
\(277\) −8.64999 −0.519727 −0.259864 0.965645i \(-0.583678\pi\)
−0.259864 + 0.965645i \(0.583678\pi\)
\(278\) 13.2714 8.52903i 0.795967 0.511537i
\(279\) −1.13182 + 7.87196i −0.0677601 + 0.471282i
\(280\) −0.996114 + 2.18119i −0.0595292 + 0.130351i
\(281\) 27.6375 8.11509i 1.64871 0.484106i 0.680191 0.733035i \(-0.261897\pi\)
0.968522 + 0.248929i \(0.0800787\pi\)
\(282\) −1.12620 2.46603i −0.0670641 0.146850i
\(283\) 7.05901 + 8.14653i 0.419615 + 0.484261i 0.925719 0.378211i \(-0.123461\pi\)
−0.506105 + 0.862472i \(0.668915\pi\)
\(284\) 0.777920 + 5.41055i 0.0461611 + 0.321057i
\(285\) −8.94098 2.62531i −0.529618 0.155510i
\(286\) 1.81671 2.09659i 0.107424 0.123974i
\(287\) −4.16279 2.67527i −0.245722 0.157916i
\(288\) 1.81329 + 1.16533i 0.106849 + 0.0686679i
\(289\) 2.32394 2.68197i 0.136702 0.157763i
\(290\) 2.46926 + 0.725040i 0.145000 + 0.0425758i
\(291\) −0.972940 6.76694i −0.0570347 0.396685i
\(292\) 2.92837 + 3.37952i 0.171370 + 0.197772i
\(293\) 13.6363 + 29.8594i 0.796644 + 1.74441i 0.656570 + 0.754265i \(0.272007\pi\)
0.140074 + 0.990141i \(0.455266\pi\)
\(294\) −0.881761 + 0.258908i −0.0514253 + 0.0150998i
\(295\) −4.34805 + 9.52091i −0.253153 + 0.554329i
\(296\) −1.22463 + 8.51752i −0.0711804 + 0.495071i
\(297\) −16.3720 + 10.5216i −0.949998 + 0.610527i
\(298\) −13.4410 −0.778617
\(299\) −0.392397 3.21508i −0.0226929 0.185933i
\(300\) −0.689070 −0.0397835
\(301\) −1.10596 + 0.710754i −0.0637462 + 0.0409672i
\(302\) −2.30986 + 16.0654i −0.132918 + 0.924462i
\(303\) −6.51900 + 14.2746i −0.374507 + 0.820056i
\(304\) −4.05742 + 1.19136i −0.232709 + 0.0683294i
\(305\) 4.89767 + 10.7244i 0.280440 + 0.614077i
\(306\) −5.17692 5.97448i −0.295945 0.341538i
\(307\) −0.0650272 0.452274i −0.00371130 0.0258126i 0.987882 0.155209i \(-0.0496051\pi\)
−0.991593 + 0.129396i \(0.958696\pi\)
\(308\) −3.94130 1.15727i −0.224576 0.0659416i
\(309\) −1.11641 + 1.28841i −0.0635105 + 0.0732950i
\(310\) −7.44284 4.78323i −0.422725 0.271669i
\(311\) −26.1401 16.7992i −1.48227 0.952595i −0.996933 0.0782659i \(-0.975062\pi\)
−0.485334 0.874329i \(-0.661302\pi\)
\(312\) 0.406440 0.469057i 0.0230101 0.0265551i
\(313\) 19.1893 + 5.63449i 1.08464 + 0.318480i 0.774735 0.632286i \(-0.217883\pi\)
0.309909 + 0.950766i \(0.399702\pi\)
\(314\) 0.734441 + 5.10815i 0.0414469 + 0.288270i
\(315\) 3.38467 + 3.90612i 0.190705 + 0.220085i
\(316\) 4.64326 + 10.1673i 0.261204 + 0.571957i
\(317\) −3.02502 + 0.888227i −0.169902 + 0.0498878i −0.365577 0.930781i \(-0.619128\pi\)
0.195675 + 0.980669i \(0.437310\pi\)
\(318\) 4.35537 9.53692i 0.244237 0.534804i
\(319\) −0.627402 + 4.36367i −0.0351277 + 0.244319i
\(320\) −2.01722 + 1.29639i −0.112766 + 0.0724704i
\(321\) 14.5244 0.810674
\(322\) −4.08895 + 2.50609i −0.227868 + 0.139659i
\(323\) 15.5092 0.862954
\(324\) 1.77708 1.14206i 0.0987269 0.0634479i
\(325\) 0.0720682 0.501245i 0.00399762 0.0278041i
\(326\) −4.94640 + 10.8311i −0.273956 + 0.599880i
\(327\) 11.9686 3.51431i 0.661867 0.194342i
\(328\) −2.05561 4.50115i −0.113502 0.248535i
\(329\) −1.93185 2.22947i −0.106506 0.122915i
\(330\) −1.28820 8.95963i −0.0709131 0.493212i
\(331\) 1.65132 + 0.484872i 0.0907649 + 0.0266510i 0.326800 0.945094i \(-0.394030\pi\)
−0.236035 + 0.971745i \(0.575848\pi\)
\(332\) −11.2093 + 12.9363i −0.615192 + 0.709970i
\(333\) 15.6036 + 10.0278i 0.855071 + 0.549521i
\(334\) −12.2105 7.84722i −0.668130 0.429381i
\(335\) 5.54380 6.39789i 0.302890 0.349554i
\(336\) −0.881761 0.258908i −0.0481040 0.0141246i
\(337\) −4.67997 32.5499i −0.254934 1.77311i −0.567659 0.823264i \(-0.692151\pi\)
0.312724 0.949844i \(-0.398758\pi\)
\(338\) −8.21450 9.48003i −0.446810 0.515646i
\(339\) −2.34268 5.12975i −0.127237 0.278610i
\(340\) 8.43820 2.47768i 0.457626 0.134371i
\(341\) 6.29600 13.7863i 0.340948 0.746571i
\(342\) −1.29718 + 9.02205i −0.0701432 + 0.487857i
\(343\) −0.841254 + 0.540641i −0.0454234 + 0.0291919i
\(344\) −1.31465 −0.0708813
\(345\) −8.76650 5.90209i −0.471972 0.317758i
\(346\) 11.4588 0.616029
\(347\) 16.4679 10.5833i 0.884045 0.568141i −0.0179736 0.999838i \(-0.505721\pi\)
0.902019 + 0.431697i \(0.142085\pi\)
\(348\) −0.140364 + 0.976256i −0.00752432 + 0.0523328i
\(349\) −3.11700 + 6.82528i −0.166849 + 0.365349i −0.974525 0.224278i \(-0.927998\pi\)
0.807676 + 0.589627i \(0.200725\pi\)
\(350\) −0.719443 + 0.211248i −0.0384559 + 0.0112917i
\(351\) −1.32922 2.91059i −0.0709486 0.155356i
\(352\) −2.68996 3.10438i −0.143376 0.165464i
\(353\) 0.229590 + 1.59683i 0.0122198 + 0.0849909i 0.995019 0.0996882i \(-0.0317845\pi\)
−0.982799 + 0.184679i \(0.940875\pi\)
\(354\) −3.84890 1.13014i −0.204567 0.0600662i
\(355\) −8.58343 + 9.90580i −0.455561 + 0.525745i
\(356\) 11.3936 + 7.32222i 0.603859 + 0.388077i
\(357\) 2.83542 + 1.82221i 0.150066 + 0.0964417i
\(358\) −6.16532 + 7.11516i −0.325847 + 0.376048i
\(359\) 3.51990 + 1.03354i 0.185773 + 0.0545480i 0.373296 0.927712i \(-0.378228\pi\)
−0.187523 + 0.982260i \(0.560046\pi\)
\(360\) 0.735560 + 5.11593i 0.0387674 + 0.269633i
\(361\) 0.732156 + 0.844953i 0.0385345 + 0.0444712i
\(362\) 6.66543 + 14.5953i 0.350327 + 0.767110i
\(363\) 5.17867 1.52059i 0.271810 0.0798105i
\(364\) 0.280557 0.614334i 0.0147052 0.0321998i
\(365\) −1.52600 + 10.6136i −0.0798745 + 0.555539i
\(366\) −3.80116 + 2.44286i −0.198690 + 0.127690i
\(367\) 15.1579 0.791238 0.395619 0.918415i \(-0.370530\pi\)
0.395619 + 0.918415i \(0.370530\pi\)
\(368\) −4.79474 0.102391i −0.249943 0.00533748i
\(369\) −10.6659 −0.555246
\(370\) −17.3584 + 11.1556i −0.902421 + 0.579951i
\(371\) 1.62362 11.2925i 0.0842940 0.586278i
\(372\) 1.40856 3.08432i 0.0730306 0.159915i
\(373\) 27.4879 8.07116i 1.42327 0.417909i 0.522660 0.852542i \(-0.324940\pi\)
0.900608 + 0.434632i \(0.143122\pi\)
\(374\) 6.25836 + 13.7039i 0.323612 + 0.708612i
\(375\) 6.13328 + 7.07818i 0.316721 + 0.365516i
\(376\) −0.419830 2.91998i −0.0216511 0.150587i
\(377\) −0.695470 0.204208i −0.0358185 0.0105173i
\(378\) −3.10260 + 3.58059i −0.159580 + 0.184166i
\(379\) −11.4489 7.35778i −0.588092 0.377944i 0.212493 0.977163i \(-0.431842\pi\)
−0.800585 + 0.599219i \(0.795478\pi\)
\(380\) −8.53025 5.48206i −0.437592 0.281224i
\(381\) 6.08145 7.01836i 0.311562 0.359562i
\(382\) 11.9167 + 3.49907i 0.609713 + 0.179028i
\(383\) 3.49223 + 24.2890i 0.178445 + 1.24111i 0.860363 + 0.509682i \(0.170237\pi\)
−0.681918 + 0.731429i \(0.738854\pi\)
\(384\) −0.601808 0.694523i −0.0307109 0.0354422i
\(385\) −4.09173 8.95963i −0.208534 0.456625i
\(386\) 3.03327 0.890647i 0.154389 0.0453328i
\(387\) −1.17716 + 2.57761i −0.0598382 + 0.131027i
\(388\) 1.05871 7.36349i 0.0537479 0.373825i
\(389\) 17.9965 11.5656i 0.912457 0.586401i 0.00199737 0.999998i \(-0.499364\pi\)
0.910460 + 0.413597i \(0.135728\pi\)
\(390\) 1.48825 0.0753602
\(391\) 16.7670 + 5.31463i 0.847945 + 0.268772i
\(392\) −1.00000 −0.0505076
\(393\) 3.10985 1.99858i 0.156871 0.100815i
\(394\) −2.35030 + 16.3467i −0.118407 + 0.823536i
\(395\) −11.1340 + 24.3800i −0.560211 + 1.22669i
\(396\) −8.49533 + 2.49445i −0.426906 + 0.125351i
\(397\) −12.8266 28.0864i −0.643749 1.40961i −0.896920 0.442192i \(-0.854201\pi\)
0.253171 0.967421i \(-0.418526\pi\)
\(398\) −1.37419 1.58590i −0.0688817 0.0794938i
\(399\) −0.553053 3.84657i −0.0276873 0.192569i
\(400\) −0.719443 0.211248i −0.0359722 0.0105624i
\(401\) 1.60534 1.85266i 0.0801670 0.0925176i −0.714249 0.699892i \(-0.753232\pi\)
0.794416 + 0.607374i \(0.207777\pi\)
\(402\) 2.72940 + 1.75408i 0.136130 + 0.0874855i
\(403\) 2.09629 + 1.34720i 0.104423 + 0.0671089i
\(404\) −11.1825 + 12.9053i −0.556350 + 0.642062i
\(405\) 4.86015 + 1.42707i 0.241503 + 0.0709116i
\(406\) 0.152738 + 1.06232i 0.00758028 + 0.0527220i
\(407\) −23.1474 26.7136i −1.14738 1.32414i
\(408\) 1.40014 + 3.06588i 0.0693174 + 0.151784i
\(409\) 7.67363 2.25318i 0.379436 0.111413i −0.0864521 0.996256i \(-0.527553\pi\)
0.465888 + 0.884843i \(0.345735\pi\)
\(410\) 4.92909 10.7932i 0.243431 0.533039i
\(411\) −0.989835 + 6.88445i −0.0488250 + 0.339585i
\(412\) −1.56061 + 1.00294i −0.0768856 + 0.0494114i
\(413\) −4.36501 −0.214788
\(414\) −4.49402 + 9.30926i −0.220869 + 0.457525i
\(415\) −41.0448 −2.01481
\(416\) 0.568153 0.365130i 0.0278560 0.0179020i
\(417\) −2.06324 + 14.3501i −0.101037 + 0.702730i
\(418\) 7.21585 15.8005i 0.352939 0.772828i
\(419\) 32.9986 9.68926i 1.61209 0.473351i 0.653210 0.757177i \(-0.273422\pi\)
0.958876 + 0.283825i \(0.0916036\pi\)
\(420\) −0.915415 2.00448i −0.0446677 0.0978086i
\(421\) −18.4149 21.2519i −0.897487 1.03576i −0.999162 0.0409377i \(-0.986965\pi\)
0.101675 0.994818i \(-0.467580\pi\)
\(422\) −3.36519 23.4054i −0.163815 1.13936i
\(423\) −6.10108 1.79144i −0.296644 0.0871027i
\(424\) 7.47107 8.62207i 0.362827 0.418725i
\(425\) 2.31346 + 1.48677i 0.112220 + 0.0721191i
\(426\) −4.22591 2.71583i −0.204746 0.131582i
\(427\) −3.21980 + 3.71585i −0.155817 + 0.179823i
\(428\) 15.1646 + 4.45273i 0.733009 + 0.215231i
\(429\) 0.362823 + 2.52349i 0.0175173 + 0.121835i
\(430\) −2.06437 2.38240i −0.0995525 0.114890i
\(431\) 7.49930 + 16.4212i 0.361229 + 0.790980i 0.999771 + 0.0213939i \(0.00681039\pi\)
−0.638542 + 0.769587i \(0.720462\pi\)
\(432\) −4.54589 + 1.33479i −0.218714 + 0.0642202i
\(433\) 0.0695992 0.152401i 0.00334473 0.00732393i −0.907952 0.419074i \(-0.862355\pi\)
0.911297 + 0.411750i \(0.135082\pi\)
\(434\) 0.525092 3.65209i 0.0252052 0.175306i
\(435\) −1.98958 + 1.27862i −0.0953929 + 0.0613053i
\(436\) 13.5736 0.650056
\(437\) −8.02891 18.6232i −0.384075 0.890866i
\(438\) −4.10948 −0.196358
\(439\) −16.0057 + 10.2862i −0.763910 + 0.490935i −0.863659 0.504077i \(-0.831833\pi\)
0.0997482 + 0.995013i \(0.468196\pi\)
\(440\) 1.40176 9.74948i 0.0668264 0.464788i
\(441\) −0.895412 + 1.96068i −0.0426387 + 0.0933657i
\(442\) −2.37663 + 0.697842i −0.113045 + 0.0331929i
\(443\) −2.91621 6.38561i −0.138553 0.303389i 0.827618 0.561292i \(-0.189696\pi\)
−0.966171 + 0.257903i \(0.916968\pi\)
\(444\) −5.17862 5.97645i −0.245766 0.283630i
\(445\) 4.62180 + 32.1453i 0.219094 + 1.52383i
\(446\) 11.6685 + 3.42618i 0.552519 + 0.162234i
\(447\) 8.08890 9.33509i 0.382592 0.441535i
\(448\) −0.841254 0.540641i −0.0397455 0.0255429i
\(449\) 3.45620 + 2.22117i 0.163108 + 0.104823i 0.619648 0.784879i \(-0.287275\pi\)
−0.456540 + 0.889703i \(0.650912\pi\)
\(450\) −1.05839 + 1.22144i −0.0498929 + 0.0575794i
\(451\) 19.5028 + 5.72654i 0.918352 + 0.269652i
\(452\) −0.873317 6.07405i −0.0410774 0.285699i
\(453\) −9.76772 11.2726i −0.458928 0.529631i
\(454\) 3.59946 + 7.88172i 0.168931 + 0.369908i
\(455\) 1.55384 0.456250i 0.0728453 0.0213893i
\(456\) 1.61435 3.53494i 0.0755990 0.165539i
\(457\) 3.85457 26.8091i 0.180309 1.25408i −0.675723 0.737155i \(-0.736169\pi\)
0.856032 0.516922i \(-0.172922\pi\)
\(458\) 17.6332 11.3322i 0.823945 0.529517i
\(459\) 17.3763 0.811057
\(460\) −7.34351 8.84978i −0.342393 0.412623i
\(461\) 5.49557 0.255954 0.127977 0.991777i \(-0.459152\pi\)
0.127977 + 0.991777i \(0.459152\pi\)
\(462\) 3.17565 2.04087i 0.147745 0.0949498i
\(463\) −1.35784 + 9.44399i −0.0631042 + 0.438899i 0.933636 + 0.358223i \(0.116617\pi\)
−0.996740 + 0.0806765i \(0.974292\pi\)
\(464\) −0.445841 + 0.976256i −0.0206977 + 0.0453215i
\(465\) 7.80122 2.29065i 0.361773 0.106226i
\(466\) 8.71328 + 19.0794i 0.403635 + 0.883837i
\(467\) 23.7538 + 27.4133i 1.09919 + 1.26854i 0.960523 + 0.278200i \(0.0897378\pi\)
0.138672 + 0.990338i \(0.455717\pi\)
\(468\) −0.207171 1.44091i −0.00957650 0.0666060i
\(469\) 3.38745 + 0.994646i 0.156418 + 0.0459285i
\(470\) 4.63233 5.34600i 0.213674 0.246592i
\(471\) −3.98972 2.56404i −0.183837 0.118145i
\(472\) −3.67208 2.35990i −0.169021 0.108623i
\(473\) 3.53636 4.08118i 0.162602 0.187653i
\(474\) −9.85579 2.89392i −0.452692 0.132922i
\(475\) −0.451245 3.13848i −0.0207045 0.144003i
\(476\) 2.40176 + 2.77178i 0.110085 + 0.127044i
\(477\) −10.2154 22.3687i −0.467733 1.02419i
\(478\) 27.5160 8.07943i 1.25855 0.369545i
\(479\) −8.74127 + 19.1407i −0.399399 + 0.874561i 0.597932 + 0.801547i \(0.295989\pi\)
−0.997331 + 0.0730145i \(0.976738\pi\)
\(480\) 0.313607 2.18119i 0.0143141 0.0995571i
\(481\) 4.88902 3.14198i 0.222920 0.143262i
\(482\) −5.99577 −0.273100
\(483\) 0.720219 4.34806i 0.0327711 0.197843i
\(484\) 5.87310 0.266959
\(485\) 15.0065 9.64412i 0.681412 0.437917i
\(486\) −2.29905 + 15.9903i −0.104287 + 0.725333i
\(487\) 1.81333 3.97065i 0.0821700 0.179927i −0.864087 0.503342i \(-0.832104\pi\)
0.946257 + 0.323415i \(0.104831\pi\)
\(488\) −4.71761 + 1.38522i −0.213556 + 0.0627058i
\(489\) −4.54567 9.95364i −0.205562 0.450119i
\(490\) −1.57028 1.81219i −0.0709378 0.0818666i
\(491\) 1.57170 + 10.9314i 0.0709300 + 0.493329i 0.994059 + 0.108840i \(0.0347135\pi\)
−0.923129 + 0.384490i \(0.874377\pi\)
\(492\) 4.36324 + 1.28116i 0.196710 + 0.0577592i
\(493\) 2.57767 2.97479i 0.116093 0.133978i
\(494\) 2.40255 + 1.54403i 0.108096 + 0.0694691i
\(495\) −17.8604 11.4782i −0.802767 0.515907i
\(496\) 2.41621 2.78845i 0.108491 0.125205i
\(497\) −5.24477 1.54000i −0.235260 0.0690786i
\(498\) −2.23867 15.5703i −0.100317 0.697721i
\(499\) 14.8251 + 17.1091i 0.663665 + 0.765910i 0.983371 0.181607i \(-0.0581298\pi\)
−0.319707 + 0.947517i \(0.603584\pi\)
\(500\) 4.23367 + 9.27044i 0.189335 + 0.414587i
\(501\) 12.7985 3.75797i 0.571793 0.167894i
\(502\) −8.97747 + 19.6579i −0.400684 + 0.877376i
\(503\) 2.92029 20.3111i 0.130209 0.905626i −0.815070 0.579363i \(-0.803301\pi\)
0.945279 0.326263i \(-0.105789\pi\)
\(504\) −1.81329 + 1.16533i −0.0807705 + 0.0519080i
\(505\) −40.9465 −1.82210
\(506\) 13.2155 14.6093i 0.587502 0.649462i
\(507\) 11.5277 0.511961
\(508\) 8.50112 5.46334i 0.377176 0.242396i
\(509\) −0.0354042 + 0.246242i −0.00156927 + 0.0109145i −0.990591 0.136855i \(-0.956300\pi\)
0.989022 + 0.147770i \(0.0472095\pi\)
\(510\) −3.35737 + 7.35162i −0.148667 + 0.325535i
\(511\) −4.29061 + 1.25984i −0.189806 + 0.0557319i
\(512\) −0.415415 0.909632i −0.0183589 0.0402004i
\(513\) −13.1200 15.1413i −0.579261 0.668503i
\(514\) −0.205623 1.43014i −0.00906964 0.0630807i
\(515\) −4.26811 1.25323i −0.188075 0.0552239i
\(516\) 0.791167 0.913056i 0.0348292 0.0401950i
\(517\) 10.1941 + 6.55134i 0.448335 + 0.288128i
\(518\) −7.23908 4.65227i −0.318067 0.204409i
\(519\) −6.89600 + 7.95840i −0.302701 + 0.349335i
\(520\) 1.55384 + 0.456250i 0.0681406 + 0.0200079i
\(521\) −1.16240 8.08467i −0.0509257 0.354196i −0.999312 0.0370794i \(-0.988195\pi\)
0.948387 0.317116i \(-0.102715\pi\)
\(522\) 1.51491 + 1.74830i 0.0663060 + 0.0765212i
\(523\) 15.7967 + 34.5899i 0.690741 + 1.51251i 0.850848 + 0.525412i \(0.176089\pi\)
−0.160107 + 0.987100i \(0.551184\pi\)
\(524\) 3.85963 1.13329i 0.168609 0.0495079i
\(525\) 0.286250 0.626800i 0.0124930 0.0273558i
\(526\) 0.158523 1.10255i 0.00691191 0.0480734i
\(527\) −11.3840 + 7.31602i −0.495893 + 0.318691i
\(528\) 3.77491 0.164282
\(529\) −2.29838 22.8849i −0.0999295 0.994995i
\(530\) 27.3565 1.18829
\(531\) −7.91505 + 5.08669i −0.343484 + 0.220744i
\(532\) 0.601808 4.18567i 0.0260917 0.181472i
\(533\) −1.38829 + 3.03992i −0.0601333 + 0.131674i
\(534\) −11.9422 + 3.50655i −0.516790 + 0.151743i
\(535\) 15.7434 + 34.4733i 0.680647 + 1.49041i
\(536\) 2.31196 + 2.66815i 0.0998615 + 0.115246i
\(537\) −1.23131 8.56392i −0.0531348 0.369560i
\(538\) 13.5939 + 3.99153i 0.586075 + 0.172087i
\(539\) 2.68996 3.10438i 0.115865 0.133715i
\(540\) −9.55720 6.14204i −0.411276 0.264311i
\(541\) 0.448568 + 0.288277i 0.0192854 + 0.0123940i 0.550248 0.835001i \(-0.314533\pi\)
−0.530963 + 0.847395i \(0.678170\pi\)
\(542\) 19.5719 22.5872i 0.840687 0.970205i
\(543\) −14.1481 4.15424i −0.607151 0.178276i
\(544\) 0.521953 + 3.63026i 0.0223786 + 0.155646i
\(545\) 21.3142 + 24.5979i 0.913001 + 1.05366i
\(546\) 0.257828 + 0.564564i 0.0110340 + 0.0241611i
\(547\) 3.79053 1.11300i 0.162071 0.0475884i −0.199690 0.979859i \(-0.563994\pi\)
0.361762 + 0.932271i \(0.382175\pi\)
\(548\) −3.14402 + 6.88445i −0.134306 + 0.294089i
\(549\) −1.50824 + 10.4901i −0.0643702 + 0.447705i
\(550\) 2.59107 1.66518i 0.110484 0.0710035i
\(551\) −4.53843 −0.193344
\(552\) 2.95662 3.26844i 0.125842 0.139114i
\(553\) −11.1774 −0.475312
\(554\) 7.27683 4.67653i 0.309163 0.198687i
\(555\) 2.69862 18.7693i 0.114550 0.796714i
\(556\) −6.55349 + 14.3501i −0.277930 + 0.608582i
\(557\) −33.7997 + 9.92449i −1.43214 + 0.420514i −0.903594 0.428390i \(-0.859081\pi\)
−0.528546 + 0.848905i \(0.677263\pi\)
\(558\) −3.30376 7.23422i −0.139859 0.306249i
\(559\) 0.581431 + 0.671007i 0.0245919 + 0.0283806i
\(560\) −0.341254 2.37347i −0.0144206 0.100297i
\(561\) −13.2840 3.90054i −0.560852 0.164681i
\(562\) −18.8628 + 21.7688i −0.795678 + 0.918261i
\(563\) 25.6392 + 16.4773i 1.08057 + 0.694437i 0.954688 0.297609i \(-0.0961890\pi\)
0.125878 + 0.992046i \(0.459825\pi\)
\(564\) 2.28065 + 1.46569i 0.0960329 + 0.0617166i
\(565\) 9.63601 11.1206i 0.405390 0.467845i
\(566\) −10.3428 3.03691i −0.434739 0.127651i
\(567\) 0.300629 + 2.09092i 0.0126252 + 0.0878105i
\(568\) −3.57959 4.13107i −0.150196 0.173336i
\(569\) −8.58956 18.8085i −0.360093 0.788494i −0.999802 0.0198772i \(-0.993672\pi\)
0.639709 0.768617i \(-0.279055\pi\)
\(570\) 8.94098 2.62531i 0.374497 0.109962i
\(571\) 11.2615 24.6592i 0.471278 1.03196i −0.513492 0.858094i \(-0.671648\pi\)
0.984770 0.173861i \(-0.0556243\pi\)
\(572\) −0.394808 + 2.74595i −0.0165078 + 0.114814i
\(573\) −9.60176 + 6.17068i −0.401119 + 0.257784i
\(574\) 4.94832 0.206539
\(575\) 0.587639 3.54765i 0.0245062 0.147947i
\(576\) −2.15546 −0.0898110
\(577\) −36.4651 + 23.4347i −1.51806 + 0.975600i −0.525915 + 0.850537i \(0.676277\pi\)
−0.992149 + 0.125063i \(0.960087\pi\)
\(578\) −0.505041 + 3.51264i −0.0210069 + 0.146106i
\(579\) −1.20687 + 2.64267i −0.0501557 + 0.109826i
\(580\) −2.46926 + 0.725040i −0.102530 + 0.0301056i
\(581\) −7.11071 15.5703i −0.295002 0.645964i
\(582\) 4.47697 + 5.16670i 0.185577 + 0.214167i
\(583\) 6.66932 + 46.3861i 0.276215 + 1.92112i
\(584\) −4.29061 1.25984i −0.177547 0.0521324i
\(585\) 2.28589 2.63806i 0.0945100 0.109070i
\(586\) −27.6148 17.7470i −1.14076 0.733121i
\(587\) 22.1344 + 14.2249i 0.913582 + 0.587124i 0.910789 0.412872i \(-0.135474\pi\)
0.00279353 + 0.999996i \(0.499111\pi\)
\(588\) 0.601808 0.694523i 0.0248181 0.0286417i
\(589\) 14.9704 + 4.39572i 0.616846 + 0.181122i
\(590\) −1.48958 10.3602i −0.0613249 0.426524i
\(591\) −9.93874 11.4699i −0.408825 0.471810i
\(592\) −3.57469 7.82748i −0.146919 0.321708i
\(593\) 21.7270 6.37963i 0.892223 0.261980i 0.196682 0.980467i \(-0.436983\pi\)
0.695540 + 0.718487i \(0.255165\pi\)
\(594\) 8.08456 17.7027i 0.331713 0.726351i
\(595\) −1.25158 + 8.70493i −0.0513097 + 0.356867i
\(596\) 11.3073 7.26676i 0.463165 0.297658i
\(597\) 1.92844 0.0789257
\(598\) 2.06831 + 2.49255i 0.0845794 + 0.101928i
\(599\) −36.1551 −1.47726 −0.738628 0.674114i \(-0.764526\pi\)
−0.738628 + 0.674114i \(0.764526\pi\)
\(600\) 0.579683 0.372540i 0.0236655 0.0152089i
\(601\) −3.70877 + 25.7951i −0.151284 + 1.05220i 0.762787 + 0.646650i \(0.223830\pi\)
−0.914071 + 0.405554i \(0.867079\pi\)
\(602\) 0.546126 1.19585i 0.0222584 0.0487392i
\(603\) 7.30154 2.14392i 0.297342 0.0873074i
\(604\) −6.74245 14.7639i −0.274346 0.600735i
\(605\) 9.22239 + 10.6432i 0.374943 + 0.432708i
\(606\) −2.23331 15.5330i −0.0907220 0.630986i
\(607\) 17.8489 + 5.24092i 0.724465 + 0.212722i 0.623117 0.782129i \(-0.285866\pi\)
0.101349 + 0.994851i \(0.467684\pi\)
\(608\) 2.76921 3.19584i 0.112306 0.129609i
\(609\) −0.829724 0.533231i −0.0336221 0.0216076i
\(610\) −9.91823 6.37406i −0.401577 0.258078i
\(611\) −1.30470 + 1.50571i −0.0527826 + 0.0609144i
\(612\) 7.58515 + 2.22720i 0.306611 + 0.0900292i
\(613\) −5.51733 38.3739i −0.222843 1.54991i −0.727208 0.686417i \(-0.759183\pi\)
0.504365 0.863490i \(-0.331727\pi\)
\(614\) 0.299222 + 0.345321i 0.0120756 + 0.0139360i
\(615\) 4.52977 + 9.91881i 0.182658 + 0.399965i
\(616\) 3.94130 1.15727i 0.158799 0.0466277i
\(617\) −10.8681 + 23.7979i −0.437534 + 0.958065i 0.554511 + 0.832177i \(0.312906\pi\)
−0.992044 + 0.125889i \(0.959822\pi\)
\(618\) 0.242620 1.68746i 0.00975959 0.0678794i
\(619\) 14.7943 9.50772i 0.594633 0.382148i −0.208434 0.978037i \(-0.566836\pi\)
0.803067 + 0.595889i \(0.203200\pi\)
\(620\) 8.84733 0.355317
\(621\) −8.99551 20.8652i −0.360977 0.837291i
\(622\) 31.0727 1.24590
\(623\) −11.3936 + 7.32222i −0.456475 + 0.293359i
\(624\) −0.0883279 + 0.614334i −0.00353594 + 0.0245930i
\(625\) −11.7092 + 25.6397i −0.468370 + 1.02559i
\(626\) −19.1893 + 5.63449i −0.766959 + 0.225199i
\(627\) 6.63126 + 14.5204i 0.264827 + 0.579890i
\(628\) −3.37953 3.90018i −0.134858 0.155634i
\(629\) 4.49146 + 31.2388i 0.179086 + 1.24557i
\(630\) −4.95918 1.45615i −0.197578 0.0580142i
\(631\) −0.719679 + 0.830553i −0.0286500 + 0.0330638i −0.769894 0.638172i \(-0.779691\pi\)
0.741244 + 0.671236i \(0.234236\pi\)
\(632\) −9.40303 6.04296i −0.374032 0.240376i
\(633\) 18.2808 + 11.7484i 0.726597 + 0.466956i
\(634\) 2.06460 2.38267i 0.0819957 0.0946281i
\(635\) 23.2497 + 6.82674i 0.922637 + 0.270911i
\(636\) 1.49208 + 10.3777i 0.0591649 + 0.411501i
\(637\) 0.442270 + 0.510407i 0.0175234 + 0.0202231i
\(638\) −1.83138 4.01015i −0.0725049 0.158764i
\(639\) −11.3049 + 3.31942i −0.447216 + 0.131314i
\(640\) 0.996114 2.18119i 0.0393749 0.0862189i
\(641\) 1.70824 11.8811i 0.0674714 0.469274i −0.927873 0.372896i \(-0.878365\pi\)
0.995345 0.0963786i \(-0.0307260\pi\)
\(642\) −12.2187 + 7.85249i −0.482234 + 0.309913i
\(643\) 13.9886 0.551656 0.275828 0.961207i \(-0.411048\pi\)
0.275828 + 0.961207i \(0.411048\pi\)
\(644\) 2.08494 4.31891i 0.0821583 0.170189i
\(645\) 2.89699 0.114069
\(646\) −13.0472 + 8.38490i −0.513333 + 0.329899i
\(647\) 2.01007 13.9804i 0.0790241 0.549625i −0.911395 0.411532i \(-0.864994\pi\)
0.990419 0.138093i \(-0.0440971\pi\)
\(648\) −0.877532 + 1.92153i −0.0344727 + 0.0754847i
\(649\) 17.2038 5.05150i 0.675309 0.198289i
\(650\) 0.210366 + 0.460637i 0.00825123 + 0.0180677i
\(651\) 2.22046 + 2.56255i 0.0870267 + 0.100434i
\(652\) −1.69456 11.7859i −0.0663641 0.461573i
\(653\) −2.79318 0.820151i −0.109306 0.0320950i 0.226622 0.973983i \(-0.427232\pi\)
−0.335928 + 0.941888i \(0.609050\pi\)
\(654\) −8.16867 + 9.42715i −0.319420 + 0.368631i
\(655\) 8.11442 + 5.21482i 0.317057 + 0.203760i
\(656\) 4.16279 + 2.67527i 0.162530 + 0.104452i
\(657\) −6.31201 + 7.28444i −0.246255 + 0.284193i
\(658\) 2.83052 + 0.831114i 0.110345 + 0.0324002i
\(659\) 3.60422 + 25.0679i 0.140401 + 0.976508i 0.931220 + 0.364458i \(0.118746\pi\)
−0.790819 + 0.612050i \(0.790345\pi\)
\(660\) 5.92765 + 6.84087i 0.230733 + 0.266280i
\(661\) −8.38900 18.3693i −0.326294 0.714485i 0.673398 0.739280i \(-0.264834\pi\)
−0.999693 + 0.0247950i \(0.992107\pi\)
\(662\) −1.65132 + 0.484872i −0.0641805 + 0.0188451i
\(663\) 0.945608 2.07059i 0.0367244 0.0804151i
\(664\) 2.43602 16.9429i 0.0945360 0.657512i
\(665\) 8.53025 5.48206i 0.330789 0.212585i
\(666\) −18.5480 −0.718721
\(667\) −4.90651 1.55521i −0.189981 0.0602180i
\(668\) 14.5147 0.561589
\(669\) −9.40176 + 6.04214i −0.363493 + 0.233603i
\(670\) −1.20478 + 8.37945i −0.0465448 + 0.323726i
\(671\) 8.38996 18.3715i 0.323891 0.709222i
\(672\) 0.881761 0.258908i 0.0340147 0.00998760i
\(673\) −18.3813 40.2494i −0.708546 1.55150i −0.829292 0.558816i \(-0.811256\pi\)
0.120746 0.992683i \(-0.461471\pi\)
\(674\) 21.5349 + 24.8526i 0.829492 + 0.957285i
\(675\) −0.505570 3.51632i −0.0194594 0.135343i
\(676\) 12.0358 + 3.53402i 0.462914 + 0.135924i
\(677\) −9.81771 + 11.3302i −0.377325 + 0.435457i −0.912370 0.409367i \(-0.865749\pi\)
0.535044 + 0.844824i \(0.320295\pi\)
\(678\) 4.74414 + 3.04887i 0.182198 + 0.117091i
\(679\) 6.25826 + 4.02194i 0.240170 + 0.154348i
\(680\) −5.75913 + 6.64639i −0.220853 + 0.254878i
\(681\) −7.64022 2.24337i −0.292774 0.0859662i
\(682\) 2.15691 + 15.0017i 0.0825925 + 0.574443i
\(683\) −17.5745 20.2820i −0.672469 0.776071i 0.312291 0.949986i \(-0.398903\pi\)
−0.984761 + 0.173916i \(0.944358\pi\)
\(684\) −3.78644 8.29114i −0.144778 0.317020i
\(685\) −17.4130 + 5.11291i −0.665315 + 0.195354i
\(686\) 0.415415 0.909632i 0.0158606 0.0347299i
\(687\) −2.74134 + 19.0664i −0.104589 + 0.727430i
\(688\) 1.10596 0.710754i 0.0421641 0.0270972i
\(689\) −7.70499 −0.293537
\(690\) 10.5658 + 0.225629i 0.402232 + 0.00858957i
\(691\) −21.7685 −0.828113 −0.414056 0.910251i \(-0.635888\pi\)
−0.414056 + 0.910251i \(0.635888\pi\)
\(692\) −9.63976 + 6.19510i −0.366449 + 0.235502i
\(693\) 1.26005 8.76386i 0.0478654 0.332911i
\(694\) −8.13194 + 17.8065i −0.308684 + 0.675925i
\(695\) −36.2961 + 10.6575i −1.37679 + 0.404261i
\(696\) −0.409722 0.897165i −0.0155305 0.0340070i
\(697\) −11.8847 13.7157i −0.450165 0.519518i
\(698\) −1.06784 7.42697i −0.0404182 0.281115i
\(699\) −18.4948 5.43057i −0.699539 0.205403i
\(700\) 0.491025 0.566673i 0.0185590 0.0214182i
\(701\) 32.3169 + 20.7688i 1.22059 + 0.784428i 0.982400 0.186790i \(-0.0598084\pi\)
0.238193 + 0.971218i \(0.423445\pi\)
\(702\) 2.69180 + 1.72991i 0.101595 + 0.0652914i
\(703\) 23.8294 27.5006i 0.898742 1.03720i
\(704\) 3.94130 + 1.15727i 0.148543 + 0.0436162i
\(705\) 0.925145 + 6.43452i 0.0348430 + 0.242338i
\(706\) −1.05646 1.21922i −0.0397603 0.0458858i
\(707\) −7.09369 15.5330i −0.266786 0.584179i
\(708\) 3.84890 1.13014i 0.144650 0.0424732i
\(709\) −3.72238 + 8.15087i −0.139797 + 0.306113i −0.966561 0.256436i \(-0.917452\pi\)
0.826764 + 0.562548i \(0.190179\pi\)
\(710\) 1.86536 12.9738i 0.0700056 0.486900i
\(711\) −20.2679 + 13.0254i −0.760106 + 0.488490i
\(712\) −13.5436 −0.507568
\(713\) 14.6783 + 9.88224i 0.549706 + 0.370093i
\(714\) −3.37047 −0.126137
\(715\) −5.59616 + 3.59643i −0.209284 + 0.134499i
\(716\) 1.33985 9.31888i 0.0500726 0.348263i
\(717\) −10.9480 + 23.9728i −0.408861 + 0.895280i
\(718\) −3.51990 + 1.03354i −0.131362 + 0.0385713i
\(719\) −21.0969 46.1958i −0.786783 1.72281i −0.685639 0.727942i \(-0.740477\pi\)
−0.101144 0.994872i \(-0.532250\pi\)
\(720\) −3.38467 3.90612i −0.126139 0.145573i
\(721\) −0.264008 1.83622i −0.00983217 0.0683842i
\(722\) −1.07275 0.314986i −0.0399234 0.0117226i
\(723\) 3.60830 4.16420i 0.134194 0.154868i
\(724\) −13.4981 8.67471i −0.501653 0.322393i
\(725\) −0.676986 0.435072i −0.0251426 0.0161582i
\(726\) −3.53448 + 4.07901i −0.131177 + 0.151386i
\(727\) −20.7806 6.10174i −0.770710 0.226301i −0.127343 0.991859i \(-0.540645\pi\)
−0.643367 + 0.765558i \(0.722463\pi\)
\(728\) 0.0961145 + 0.668491i 0.00356224 + 0.0247759i
\(729\) −5.57199 6.43042i −0.206370 0.238164i
\(730\) −4.45437 9.75372i −0.164864 0.361001i
\(731\) −4.62630 + 1.35840i −0.171110 + 0.0502424i
\(732\) 1.87703 4.11012i 0.0693770 0.151915i
\(733\) −0.545340 + 3.79292i −0.0201426 + 0.140095i −0.997411 0.0719106i \(-0.977090\pi\)
0.977268 + 0.212005i \(0.0679995\pi\)
\(734\) −12.7517 + 8.19500i −0.470673 + 0.302483i
\(735\) 2.20362 0.0812816
\(736\) 4.08895 2.50609i 0.150721 0.0923759i
\(737\) −14.5020 −0.534189
\(738\) 8.97276 5.76644i 0.330292 0.212266i
\(739\) −4.64568 + 32.3114i −0.170894 + 1.18859i 0.706107 + 0.708105i \(0.250450\pi\)
−0.877001 + 0.480488i \(0.840459\pi\)
\(740\) 8.57167 18.7693i 0.315101 0.689975i
\(741\) −2.51824 + 0.739422i −0.0925098 + 0.0271633i
\(742\) 4.73932 + 10.3777i 0.173986 + 0.380976i
\(743\) 1.56805 + 1.80962i 0.0575260 + 0.0663886i 0.783783 0.621034i \(-0.213287\pi\)
−0.726257 + 0.687423i \(0.758742\pi\)
\(744\) 0.482552 + 3.35622i 0.0176912 + 0.123045i
\(745\) 30.9244 + 9.08021i 1.13298 + 0.332673i
\(746\) −18.7607 + 21.6510i −0.686877 + 0.792698i
\(747\) −31.0384 19.9471i −1.13563 0.729828i
\(748\) −12.6738 8.14493i −0.463399 0.297808i
\(749\) −10.3500 + 11.9445i −0.378179 + 0.436442i
\(750\) −8.98639 2.63864i −0.328137 0.0963496i
\(751\) −0.712854 4.95801i −0.0260124 0.180920i 0.972673 0.232179i \(-0.0745856\pi\)
−0.998685 + 0.0512591i \(0.983677\pi\)
\(752\) 1.93185 + 2.22947i 0.0704472 + 0.0813004i
\(753\) −8.25017 18.0654i −0.300653 0.658338i
\(754\) 0.695470 0.204208i 0.0253275 0.00743683i
\(755\) 16.1676 35.4020i 0.588398 1.28841i
\(756\) 0.674259 4.68958i 0.0245226 0.170558i
\(757\) 23.2587 14.9475i 0.845352 0.543275i −0.0447696 0.998997i \(-0.514255\pi\)
0.890122 + 0.455722i \(0.150619\pi\)
\(758\) 13.6094 0.494315
\(759\) 2.19327 + 17.9705i 0.0796108 + 0.652287i
\(760\) 10.1399 0.367814
\(761\) −19.8203 + 12.7377i −0.718486 + 0.461743i −0.848110 0.529820i \(-0.822259\pi\)
0.129624 + 0.991563i \(0.458623\pi\)
\(762\) −1.32162 + 9.19210i −0.0478774 + 0.332995i
\(763\) −5.63866 + 12.3469i −0.204133 + 0.446989i
\(764\) −11.9167 + 3.49907i −0.431132 + 0.126592i
\(765\) 7.87465 + 17.2431i 0.284709 + 0.623425i
\(766\) −16.0695 18.5452i −0.580614 0.670065i
\(767\) 0.419541 + 2.91797i 0.0151488 + 0.105362i
\(768\) 0.881761 + 0.258908i 0.0318178 + 0.00934255i
\(769\) −3.77584 + 4.35755i −0.136160 + 0.157137i −0.819735 0.572744i \(-0.805879\pi\)
0.683574 + 0.729881i \(0.260424\pi\)
\(770\) 8.28612 + 5.32517i 0.298611 + 0.191906i
\(771\) 1.11701 + 0.717859i 0.0402281 + 0.0258531i
\(772\) −2.07023 + 2.38917i −0.0745091 + 0.0859880i
\(773\) −32.9279 9.66849i −1.18433 0.347751i −0.370490 0.928836i \(-0.620810\pi\)
−0.813843 + 0.581085i \(0.802628\pi\)
\(774\) −0.403275 2.80484i −0.0144954 0.100818i
\(775\) 1.81171 + 2.09082i 0.0650785 + 0.0751046i
\(776\) 3.09036 + 6.76694i 0.110937 + 0.242919i
\(777\) 7.58765 2.22793i 0.272205 0.0799267i
\(778\) −8.88674 + 19.4593i −0.318605 + 0.697648i
\(779\) −2.97794 + 20.7120i −0.106696 + 0.742085i
\(780\) −1.25199 + 0.804606i −0.0448285 + 0.0288095i
\(781\) 22.4534 0.803446
\(782\) −16.9786 + 4.59399i −0.607155 + 0.164281i
\(783\) −5.08481 −0.181716
\(784\) 0.841254 0.540641i 0.0300448 0.0193086i
\(785\) 1.76110 12.2487i 0.0628564 0.437176i
\(786\) −1.53566 + 3.36262i −0.0547751 + 0.119941i
\(787\) −30.8626 + 9.06207i −1.10013 + 0.323028i −0.780905 0.624650i \(-0.785242\pi\)
−0.319227 + 0.947678i \(0.603423\pi\)
\(788\) −6.86050 15.0224i −0.244395 0.535151i
\(789\) 0.670346 + 0.773620i 0.0238649 + 0.0275416i
\(790\) −3.81433 26.5292i −0.135708 0.943868i
\(791\) 5.88794 + 1.72885i 0.209351 + 0.0614710i
\(792\) 5.79812 6.69139i 0.206027 0.237768i
\(793\) 2.79348 + 1.79526i 0.0991994 + 0.0637516i
\(794\) 25.9751 + 16.6932i 0.921820 + 0.592418i
\(795\) −16.4634 + 18.9997i −0.583895 + 0.673851i
\(796\) 2.01344 + 0.591199i 0.0713645 + 0.0209545i
\(797\) 6.87192 + 47.7952i 0.243416 + 1.69299i 0.634727 + 0.772736i \(0.281112\pi\)
−0.391311 + 0.920258i \(0.627978\pi\)
\(798\) 2.54487 + 2.93694i 0.0900874 + 0.103966i
\(799\) −4.49456 9.84171i −0.159006 0.348175i
\(800\) 0.719443 0.211248i 0.0254362 0.00746873i
\(801\) −12.1271 + 26.5546i −0.428490 + 0.938262i
\(802\) −0.348874 + 2.42647i −0.0123192 + 0.0856818i
\(803\) 15.4526 9.93079i 0.545311 0.350450i
\(804\) −3.24445 −0.114423
\(805\) 11.1006 3.00356i 0.391246 0.105862i
\(806\) −2.49186 −0.0877720
\(807\) −10.9531 + 7.03915i −0.385568 + 0.247790i
\(808\) 2.43019 16.9023i 0.0854938 0.594622i
\(809\) −2.01537 + 4.41305i −0.0708568 + 0.155155i −0.941746 0.336324i \(-0.890816\pi\)
0.870890 + 0.491479i \(0.163543\pi\)
\(810\) −4.86015 + 1.42707i −0.170768 + 0.0501421i
\(811\) −8.41550 18.4274i −0.295508 0.647073i 0.702396 0.711787i \(-0.252114\pi\)
−0.997904 + 0.0647139i \(0.979387\pi\)
\(812\) −0.702824 0.811103i −0.0246643 0.0284641i
\(813\) 3.90881 + 27.1863i 0.137088 + 0.953467i
\(814\) 33.9153 + 9.95843i 1.18873 + 0.349043i
\(815\) 18.6975 21.5780i 0.654944 0.755846i
\(816\) −2.83542 1.82221i −0.0992595 0.0637902i
\(817\) 4.67676 + 3.00557i 0.163619 + 0.105152i
\(818\) −5.23730 + 6.04417i −0.183118 + 0.211329i
\(819\) 1.39676 + 0.410125i 0.0488067 + 0.0143309i
\(820\) 1.68863 + 11.7447i 0.0589696 + 0.410143i
\(821\) −33.4002 38.5459i −1.16567 1.34526i −0.927404 0.374061i \(-0.877965\pi\)
−0.238270 0.971199i \(-0.576580\pi\)
\(822\) −2.88931 6.32672i −0.100776 0.220670i
\(823\) −16.8308 + 4.94197i −0.586686 + 0.172266i −0.561586 0.827419i \(-0.689809\pi\)
−0.0250998 + 0.999685i \(0.507990\pi\)
\(824\) 0.770635 1.68746i 0.0268464 0.0587853i
\(825\) −0.402820 + 2.80168i −0.0140244 + 0.0975418i
\(826\) 3.67208 2.35990i 0.127768 0.0821116i
\(827\) 11.7022 0.406927 0.203463 0.979083i \(-0.434780\pi\)
0.203463 + 0.979083i \(0.434780\pi\)
\(828\) −1.25236 10.2611i −0.0435224 0.356598i
\(829\) −46.0517 −1.59944 −0.799720 0.600373i \(-0.795019\pi\)
−0.799720 + 0.600373i \(0.795019\pi\)
\(830\) 34.5291 22.1905i 1.19852 0.770243i
\(831\) −1.13129 + 7.86830i −0.0392441 + 0.272948i
\(832\) −0.280557 + 0.614334i −0.00972656 + 0.0212982i
\(833\) −3.51903 + 1.03328i −0.121927 + 0.0358010i
\(834\) −6.02257 13.1876i −0.208544 0.456649i
\(835\) 22.7920 + 26.3034i 0.788751 + 0.910267i
\(836\) 2.47204 + 17.1934i 0.0854973 + 0.594646i
\(837\) 16.7727 + 4.92492i 0.579750 + 0.170230i
\(838\) −22.5218 + 25.9915i −0.778001 + 0.897862i
\(839\) 3.59474 + 2.31020i 0.124104 + 0.0797570i 0.601220 0.799083i \(-0.294681\pi\)
−0.477116 + 0.878840i \(0.658318\pi\)
\(840\) 1.85380 + 1.19136i 0.0639622 + 0.0411060i
\(841\) 18.2367 21.0462i 0.628850 0.725732i
\(842\) 26.9813 + 7.92241i 0.929835 + 0.273024i
\(843\) −3.76717 26.2013i −0.129748 0.902419i
\(844\) 15.4849 + 17.8705i 0.533013 + 0.615129i
\(845\) 12.4951 + 27.3605i 0.429846 + 0.941231i
\(846\) 6.10108 1.79144i 0.209759 0.0615909i
\(847\) −2.43978 + 5.34236i −0.0838317 + 0.183566i
\(848\) −1.62362 + 11.2925i −0.0557553 + 0.387786i
\(849\) 8.33356 5.35566i 0.286007 0.183806i
\(850\) −2.75002 −0.0943249
\(851\) 35.1858 21.5652i 1.20615 0.739246i
\(852\) 5.02335 0.172097
\(853\) −26.1624 + 16.8136i −0.895785 + 0.575686i −0.905537 0.424266i \(-0.860532\pi\)
0.00975236 + 0.999952i \(0.496896\pi\)
\(854\) 0.699730 4.86673i 0.0239443 0.166536i
\(855\) 9.07941 19.8811i 0.310509 0.679921i
\(856\) −15.1646 + 4.45273i −0.518316 + 0.152191i
\(857\) 0.0896135 + 0.196226i 0.00306114 + 0.00670296i 0.911156 0.412061i \(-0.135191\pi\)
−0.908095 + 0.418764i \(0.862464\pi\)
\(858\) −1.66953 1.92674i −0.0569968 0.0657778i
\(859\) −2.69856 18.7689i −0.0920736 0.640386i −0.982639 0.185530i \(-0.940600\pi\)
0.890565 0.454856i \(-0.150309\pi\)
\(860\) 3.02468 + 0.888126i 0.103141 + 0.0302848i
\(861\) −2.97794 + 3.43672i −0.101488 + 0.117123i
\(862\) −15.1868 9.75995i −0.517264 0.332425i
\(863\) 28.5483 + 18.3469i 0.971797 + 0.624536i 0.927239 0.374471i \(-0.122176\pi\)
0.0445583 + 0.999007i \(0.485812\pi\)
\(864\) 3.10260 3.58059i 0.105553 0.121814i
\(865\) −26.3638 7.74111i −0.896396 0.263206i
\(866\) 0.0238436 + 0.165836i 0.000810240 + 0.00563534i
\(867\) −2.13567 2.46469i −0.0725311 0.0837054i
\(868\) 1.53274 + 3.35622i 0.0520244 + 0.113918i
\(869\) 44.0535 12.9353i 1.49441 0.438799i
\(870\) 0.982462 2.15129i 0.0333086 0.0729356i
\(871\) 0.339329 2.36008i 0.0114977 0.0799683i
\(872\) −11.4188 + 7.33842i −0.386690 + 0.248510i
\(873\) 16.0350 0.542701
\(874\) 16.8228 + 11.3260i 0.569039 + 0.383109i
\(875\) −10.1914 −0.344533
\(876\) 3.45711 2.22175i 0.116805 0.0750660i
\(877\) 5.57559 38.7791i 0.188274 1.30948i −0.648200 0.761471i \(-0.724478\pi\)
0.836474 0.548007i \(-0.184613\pi\)
\(878\) 7.90369 17.3067i 0.266737 0.584072i
\(879\) 28.9445 8.49888i 0.976275 0.286660i
\(880\) 4.09173 + 8.95963i 0.137932 + 0.302029i
\(881\) −18.1606 20.9585i −0.611847 0.706109i 0.362291 0.932065i \(-0.381995\pi\)
−0.974137 + 0.225957i \(0.927449\pi\)
\(882\) −0.306755 2.13353i −0.0103290 0.0718395i
\(883\) −18.4602 5.42039i −0.621234 0.182411i −0.0440557 0.999029i \(-0.514028\pi\)
−0.577178 + 0.816618i \(0.695846\pi\)
\(884\) 1.62207 1.87197i 0.0545560 0.0629610i
\(885\) 8.09186 + 5.20032i 0.272005 + 0.174807i
\(886\) 5.90559 + 3.79529i 0.198402 + 0.127505i
\(887\) 3.66478 4.22938i 0.123051 0.142009i −0.690881 0.722968i \(-0.742777\pi\)
0.813932 + 0.580960i \(0.197323\pi\)
\(888\) 7.58765 + 2.22793i 0.254625 + 0.0747646i
\(889\) 1.43813 + 10.0024i 0.0482335 + 0.335471i
\(890\) −21.2672 24.5436i −0.712877 0.822704i
\(891\) −3.60463 7.89304i −0.120760 0.264427i
\(892\) −11.6685 + 3.42618i −0.390690 + 0.114717i
\(893\) −5.18219 + 11.3474i −0.173415 + 0.379727i
\(894\) −1.75789 + 12.2264i −0.0587925 + 0.408911i
\(895\) 18.9916 12.2051i 0.634818 0.407973i
\(896\) 1.00000 0.0334077
\(897\) −2.97586 0.0635488i −0.0993611 0.00212183i
\(898\) −4.10839 −0.137099
\(899\) 3.33127 2.14088i 0.111104 0.0714023i
\(900\) 0.230010 1.59975i 0.00766698 0.0533250i
\(901\) 17.3819 38.0610i 0.579075 1.26800i
\(902\) −19.5028 + 5.72654i −0.649373 + 0.190673i
\(903\) 0.501882 + 1.09897i 0.0167016 + 0.0365714i
\(904\) 4.01856 + 4.63767i 0.133655 + 0.154246i
\(905\) −5.47549 38.0829i −0.182012 1.26592i
\(906\) 14.3115 + 4.20225i 0.475469 + 0.139610i
\(907\) 3.30168 3.81034i 0.109630 0.126520i −0.698282 0.715823i \(-0.746052\pi\)
0.807912 + 0.589302i \(0.200597\pi\)
\(908\) −7.28924 4.68451i −0.241902 0.155461i
\(909\) −30.9641 19.8994i −1.02701 0.660021i
\(910\) −1.06051 + 1.22389i −0.0351556 + 0.0405717i
\(911\) 52.9931 + 15.5602i 1.75574 + 0.515531i 0.991580 0.129497i \(-0.0413362\pi\)
0.764159 + 0.645028i \(0.223154\pi\)
\(912\) 0.553053 + 3.84657i 0.0183134 + 0.127373i
\(913\) 46.0445 + 53.1381i 1.52385 + 1.75862i
\(914\) 11.2514 + 24.6372i 0.372164 + 0.814926i
\(915\) 10.3958 3.05248i 0.343675 0.100912i
\(916\) −8.70735 + 19.0664i −0.287699 + 0.629973i
\(917\) −0.572471 + 3.98162i −0.0189047 + 0.131485i
\(918\) −14.6179 + 9.39435i −0.482462 + 0.310060i
\(919\) 29.0339 0.957741 0.478871 0.877885i \(-0.341046\pi\)
0.478871 + 0.877885i \(0.341046\pi\)
\(920\) 10.9623 + 3.47471i 0.361417 + 0.114558i
\(921\) −0.419907 −0.0138364
\(922\) −4.62317 + 2.97113i −0.152256 + 0.0978490i
\(923\) −0.525380 + 3.65410i −0.0172931 + 0.120276i
\(924\) −1.56815 + 3.43378i −0.0515885 + 0.112963i
\(925\) 6.19089 1.81781i 0.203555 0.0597692i
\(926\) −3.96352 8.67889i −0.130249 0.285206i
\(927\) −2.61852 3.02194i −0.0860036 0.0992535i
\(928\) −0.152738 1.06232i −0.00501388 0.0348723i
\(929\) 52.6616 + 15.4628i 1.72777 + 0.507320i 0.986483 0.163866i \(-0.0523966\pi\)
0.741289 + 0.671186i \(0.234215\pi\)
\(930\) −5.32439 + 6.14467i −0.174594 + 0.201492i
\(931\) 3.55742 + 2.28621i 0.116590 + 0.0749276i
\(932\) −17.6452 11.3399i −0.577988 0.371450i
\(933\) −18.6998 + 21.5807i −0.612205 + 0.706522i
\(934\) −34.8037 10.2193i −1.13881 0.334386i
\(935\) −5.14110 35.7571i −0.168132 1.16938i
\(936\) 0.953298 + 1.10016i 0.0311595 + 0.0359600i
\(937\) −20.8002 45.5461i −0.679514 1.48793i −0.863158 0.504934i \(-0.831517\pi\)
0.183644 0.982993i \(-0.441211\pi\)
\(938\) −3.38745 + 0.994646i −0.110604 + 0.0324763i
\(939\) 7.63499 16.7183i 0.249158 0.545581i
\(940\) −1.00670 + 7.00176i −0.0328350 + 0.228372i
\(941\) 12.8400 8.25176i 0.418572 0.269000i −0.314357 0.949305i \(-0.601789\pi\)
0.732929 + 0.680305i \(0.238153\pi\)
\(942\) 4.74259 0.154522
\(943\) −10.3170 + 21.3714i −0.335967 + 0.695948i
\(944\) 4.36501 0.142069
\(945\) 9.55720 6.14204i 0.310896 0.199801i
\(946\) −0.768525 + 5.34521i −0.0249869 + 0.173788i
\(947\) 9.45577 20.7052i 0.307271 0.672830i −0.691501 0.722376i \(-0.743050\pi\)
0.998772 + 0.0495459i \(0.0157774\pi\)
\(948\) 9.85579 2.89392i 0.320101 0.0939902i
\(949\) 1.25458 + 2.74715i 0.0407254 + 0.0891762i
\(950\) 2.07640 + 2.39629i 0.0673674 + 0.0777461i
\(951\) 0.412331 + 2.86782i 0.0133707 + 0.0929956i
\(952\) −3.51903 1.03328i −0.114052 0.0334888i
\(953\) 5.54017 6.39370i 0.179464 0.207112i −0.658889 0.752240i \(-0.728973\pi\)
0.838353 + 0.545128i \(0.183519\pi\)
\(954\) 20.6872 + 13.2948i 0.669773 + 0.430437i
\(955\) −25.0535 16.1009i −0.810713 0.521014i
\(956\) −18.7799 + 21.6731i −0.607385 + 0.700959i
\(957\) 3.88728 + 1.14141i 0.125658 + 0.0368965i
\(958\) −2.99462 20.8281i −0.0967519 0.672924i
\(959\) −4.95624 5.71981i −0.160045 0.184702i
\(960\) 0.915415 + 2.00448i 0.0295449 + 0.0646943i
\(961\) 16.6822 4.89834i 0.538136 0.158011i
\(962\) −2.41422 + 5.28641i −0.0778376 + 0.170441i
\(963\) −4.84820 + 33.7200i −0.156231 + 1.08661i
\(964\) 5.04396 3.24156i 0.162455 0.104404i
\(965\) −7.58046 −0.244024
\(966\) 1.74485 + 4.04720i 0.0561396 + 0.130216i
\(967\) 54.4382 1.75061 0.875307 0.483567i \(-0.160659\pi\)
0.875307 + 0.483567i \(0.160659\pi\)
\(968\) −4.94077 + 3.17524i −0.158802 + 0.102056i
\(969\) 2.02837 14.1076i 0.0651607 0.453203i
\(970\) −7.41030 + 16.2263i −0.237930 + 0.520995i
\(971\) 42.0836 12.3568i 1.35053 0.396550i 0.475112 0.879925i \(-0.342407\pi\)
0.875413 + 0.483375i \(0.160589\pi\)
\(972\) −6.71090 14.6948i −0.215252 0.471337i
\(973\) −10.3309 11.9225i −0.331195 0.382219i
\(974\) 0.621220 + 4.32068i 0.0199052 + 0.138444i
\(975\) −0.446523 0.131111i −0.0143002 0.00419891i
\(976\) 3.21980 3.71585i 0.103063 0.118941i
\(977\) 42.1923 + 27.1153i 1.34985 + 0.867497i 0.997656 0.0684299i \(-0.0217990\pi\)
0.352195 + 0.935927i \(0.385435\pi\)
\(978\) 9.20540 + 5.91595i 0.294356 + 0.189171i
\(979\) 36.4318 42.0445i 1.16436 1.34375i
\(980\) 2.30075 + 0.675560i 0.0734947 + 0.0215800i
\(981\) 4.16375 + 28.9595i 0.132938 + 0.924607i
\(982\) −7.23219 8.34639i −0.230788 0.266344i
\(983\) −8.50752 18.6289i −0.271348 0.594169i 0.724077 0.689719i \(-0.242266\pi\)
−0.995425 + 0.0955507i \(0.969539\pi\)
\(984\) −4.36324 + 1.28116i −0.139095 + 0.0408419i
\(985\) 16.4506 36.0219i 0.524161 1.14775i
\(986\) −0.560182 + 3.89615i −0.0178398 + 0.124079i
\(987\) −2.28065 + 1.46569i −0.0725940 + 0.0466533i
\(988\) −2.85592 −0.0908590
\(989\) 4.02613 + 4.85195i 0.128023 + 0.154283i
\(990\) 21.2308 0.674758
\(991\) −23.7375 + 15.2552i −0.754047 + 0.484596i −0.860329 0.509740i \(-0.829742\pi\)
0.106282 + 0.994336i \(0.466105\pi\)
\(992\) −0.525092 + 3.65209i −0.0166717 + 0.115954i
\(993\) 0.657024 1.43868i 0.0208500 0.0456552i
\(994\) 5.24477 1.54000i 0.166354 0.0488460i
\(995\) 2.09029 + 4.57709i 0.0662665 + 0.145104i
\(996\) 10.3012 + 11.8882i 0.326407 + 0.376693i
\(997\) −6.43643 44.7664i −0.203844 1.41777i −0.792742 0.609558i \(-0.791347\pi\)
0.588898 0.808208i \(-0.299562\pi\)
\(998\) −21.7216 6.37804i −0.687585 0.201893i
\(999\) 26.6982 30.8114i 0.844694 0.974828i
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 322.2.i.a.127.1 yes 10
23.2 even 11 inner 322.2.i.a.71.1 10
23.5 odd 22 7406.2.a.bh.1.1 5
23.18 even 11 7406.2.a.bg.1.1 5
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
322.2.i.a.71.1 10 23.2 even 11 inner
322.2.i.a.127.1 yes 10 1.1 even 1 trivial
7406.2.a.bg.1.1 5 23.18 even 11
7406.2.a.bh.1.1 5 23.5 odd 22