Properties

Label 690.2.m.b.301.1
Level $690$
Weight $2$
Character 690.301
Analytic conductor $5.510$
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] = [690,2,Mod(31,690)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(690, base_ring=CyclotomicField(22))
 
chi = DirichletCharacter(H, H._module([0, 0, 6]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("690.31");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 690 = 2 \cdot 3 \cdot 5 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 690.m (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: \(5.50967773947\)
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 301.1
Root \(0.142315 - 0.989821i\) of defining polynomial
Character \(\chi\) \(=\) 690.301
Dual form 690.2.m.b.541.1

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-0.841254 - 0.540641i) q^{2} +(-0.142315 - 0.989821i) q^{3} +(0.415415 + 0.909632i) q^{4} +(-0.959493 - 0.281733i) q^{5} +(-0.415415 + 0.909632i) q^{6} +(-0.730471 + 0.843008i) q^{7} +(0.142315 - 0.989821i) q^{8} +(-0.959493 + 0.281733i) q^{9} +O(q^{10})\) \(q+(-0.841254 - 0.540641i) q^{2} +(-0.142315 - 0.989821i) q^{3} +(0.415415 + 0.909632i) q^{4} +(-0.959493 - 0.281733i) q^{5} +(-0.415415 + 0.909632i) q^{6} +(-0.730471 + 0.843008i) q^{7} +(0.142315 - 0.989821i) q^{8} +(-0.959493 + 0.281733i) q^{9} +(0.654861 + 0.755750i) q^{10} +(-1.85380 + 1.19136i) q^{11} +(0.841254 - 0.540641i) q^{12} +(2.38000 + 2.74666i) q^{13} +(1.07028 - 0.314261i) q^{14} +(-0.142315 + 0.989821i) q^{15} +(-0.654861 + 0.755750i) q^{16} +(0.952036 - 2.08467i) q^{17} +(0.959493 + 0.281733i) q^{18} +(1.49611 + 3.27603i) q^{19} +(-0.142315 - 0.989821i) q^{20} +(0.938384 + 0.603063i) q^{21} +2.20362 q^{22} +(4.43274 + 1.83053i) q^{23} -1.00000 q^{24} +(0.841254 + 0.540641i) q^{25} +(-0.517223 - 3.59736i) q^{26} +(0.415415 + 0.909632i) q^{27} +(-1.07028 - 0.314261i) q^{28} +(-0.780557 + 1.70918i) q^{29} +(0.654861 - 0.755750i) q^{30} +(-0.420002 + 2.92118i) q^{31} +(0.959493 - 0.281733i) q^{32} +(1.44306 + 1.66538i) q^{33} +(-1.92796 + 1.23903i) q^{34} +(0.938384 - 0.603063i) q^{35} +(-0.654861 - 0.755750i) q^{36} +(6.83816 - 2.00786i) q^{37} +(0.512546 - 3.56484i) q^{38} +(2.38000 - 2.74666i) q^{39} +(-0.415415 + 0.909632i) q^{40} +(-2.96876 - 0.871706i) q^{41} +(-0.463379 - 1.01466i) q^{42} +(0.768423 + 5.34450i) q^{43} +(-1.85380 - 1.19136i) q^{44} +1.00000 q^{45} +(-2.73939 - 3.93646i) q^{46} +4.78426 q^{47} +(0.841254 + 0.540641i) q^{48} +(0.819129 + 5.69716i) q^{49} +(-0.415415 - 0.909632i) q^{50} +(-2.19894 - 0.645667i) q^{51} +(-1.50977 + 3.30593i) q^{52} +(2.36079 - 2.72449i) q^{53} +(0.142315 - 0.989821i) q^{54} +(2.11435 - 0.620830i) q^{55} +(0.730471 + 0.843008i) q^{56} +(3.02977 - 1.94711i) q^{57} +(1.58070 - 1.01585i) q^{58} +(4.27190 + 4.93004i) q^{59} +(-0.959493 + 0.281733i) q^{60} +(0.549535 - 3.82210i) q^{61} +(1.93264 - 2.23038i) q^{62} +(0.463379 - 1.01466i) q^{63} +(-0.959493 - 0.281733i) q^{64} +(-1.50977 - 3.30593i) q^{65} +(-0.313607 - 2.18119i) q^{66} +(5.00718 + 3.21792i) q^{67} +2.29177 q^{68} +(1.18106 - 4.64813i) q^{69} -1.11546 q^{70} +(-10.6422 - 6.83930i) q^{71} +(0.142315 + 0.989821i) q^{72} +(-0.228365 - 0.500049i) q^{73} +(-6.83816 - 2.00786i) q^{74} +(0.415415 - 0.909632i) q^{75} +(-2.35848 + 2.72183i) q^{76} +(0.349816 - 2.43303i) q^{77} +(-3.48714 + 1.02392i) q^{78} +(7.38072 + 8.51780i) q^{79} +(0.841254 - 0.540641i) q^{80} +(0.841254 - 0.540641i) q^{81} +(2.02620 + 2.33836i) q^{82} +(14.7497 - 4.33089i) q^{83} +(-0.158746 + 1.10411i) q^{84} +(-1.50079 + 1.73201i) q^{85} +(2.24302 - 4.91152i) q^{86} +(1.80287 + 0.529370i) q^{87} +(0.915415 + 2.00448i) q^{88} +(0.241156 + 1.67728i) q^{89} +(-0.841254 - 0.540641i) q^{90} -4.05398 q^{91} +(0.176312 + 4.79259i) q^{92} +2.95122 q^{93} +(-4.02478 - 2.58657i) q^{94} +(-0.512546 - 3.56484i) q^{95} +(-0.415415 - 0.909632i) q^{96} +(-1.17742 - 0.345721i) q^{97} +(2.39102 - 5.23561i) q^{98} +(1.44306 - 1.66538i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 10 q + q^{2} - q^{3} - q^{4} - q^{5} + q^{6} + q^{8} - q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 10 q + q^{2} - q^{3} - q^{4} - q^{5} + q^{6} + q^{8} - q^{9} + q^{10} - 4 q^{11} - q^{12} + 2 q^{13} - q^{15} - q^{16} - 2 q^{17} + q^{18} - q^{20} + 4 q^{22} - q^{23} - 10 q^{24} - q^{25} + 9 q^{26} - q^{27} - 6 q^{29} + q^{30} + 22 q^{31} + q^{32} - 4 q^{33} - 9 q^{34} - q^{36} + 20 q^{37} + 2 q^{39} + q^{40} + 9 q^{41} - 11 q^{42} + 12 q^{43} - 4 q^{44} + 10 q^{45} + q^{46} - 8 q^{47} - q^{48} + 7 q^{49} + q^{50} - 13 q^{51} + 2 q^{52} - 20 q^{53} + q^{54} + 7 q^{55} + 11 q^{57} + 6 q^{58} - 22 q^{59} - q^{60} + 49 q^{61} + 11 q^{63} - q^{64} + 2 q^{65} - 7 q^{66} + 10 q^{67} - 2 q^{68} - q^{69} - q^{71} + q^{72} + 17 q^{73} - 20 q^{74} - q^{75} - 13 q^{78} + 18 q^{79} - q^{80} - q^{81} + 13 q^{82} + 15 q^{83} - 11 q^{84} + 9 q^{85} + 10 q^{86} - 6 q^{87} + 4 q^{88} - 5 q^{89} + q^{90} + 22 q^{91} - 12 q^{92} - 22 q^{93} - 3 q^{94} + q^{96} - q^{97} - 7 q^{98} - 4 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

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

\(n\) \(277\) \(461\) \(511\)
\(\chi(n)\) \(1\) \(1\) \(e\left(\frac{1}{11}\right)\)

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
\(3\) −0.142315 0.989821i −0.0821655 0.571474i
\(4\) 0.415415 + 0.909632i 0.207708 + 0.454816i
\(5\) −0.959493 0.281733i −0.429098 0.125995i
\(6\) −0.415415 + 0.909632i −0.169592 + 0.371356i
\(7\) −0.730471 + 0.843008i −0.276092 + 0.318627i −0.876813 0.480832i \(-0.840335\pi\)
0.600721 + 0.799459i \(0.294880\pi\)
\(8\) 0.142315 0.989821i 0.0503159 0.349955i
\(9\) −0.959493 + 0.281733i −0.319831 + 0.0939109i
\(10\) 0.654861 + 0.755750i 0.207085 + 0.238989i
\(11\) −1.85380 + 1.19136i −0.558942 + 0.359210i −0.789407 0.613871i \(-0.789612\pi\)
0.230465 + 0.973081i \(0.425975\pi\)
\(12\) 0.841254 0.540641i 0.242849 0.156070i
\(13\) 2.38000 + 2.74666i 0.660092 + 0.761787i 0.982792 0.184714i \(-0.0591359\pi\)
−0.322700 + 0.946501i \(0.604590\pi\)
\(14\) 1.07028 0.314261i 0.286043 0.0839899i
\(15\) −0.142315 + 0.989821i −0.0367455 + 0.255571i
\(16\) −0.654861 + 0.755750i −0.163715 + 0.188937i
\(17\) 0.952036 2.08467i 0.230903 0.505606i −0.758345 0.651853i \(-0.773992\pi\)
0.989248 + 0.146246i \(0.0467192\pi\)
\(18\) 0.959493 + 0.281733i 0.226155 + 0.0664050i
\(19\) 1.49611 + 3.27603i 0.343232 + 0.751574i 0.999997 0.00252202i \(-0.000802785\pi\)
−0.656765 + 0.754096i \(0.728076\pi\)
\(20\) −0.142315 0.989821i −0.0318226 0.221331i
\(21\) 0.938384 + 0.603063i 0.204772 + 0.131599i
\(22\) 2.20362 0.469812
\(23\) 4.43274 + 1.83053i 0.924289 + 0.381693i
\(24\) −1.00000 −0.204124
\(25\) 0.841254 + 0.540641i 0.168251 + 0.108128i
\(26\) −0.517223 3.59736i −0.101436 0.705501i
\(27\) 0.415415 + 0.909632i 0.0799467 + 0.175059i
\(28\) −1.07028 0.314261i −0.202263 0.0593898i
\(29\) −0.780557 + 1.70918i −0.144946 + 0.317387i −0.968155 0.250351i \(-0.919454\pi\)
0.823209 + 0.567738i \(0.192181\pi\)
\(30\) 0.654861 0.755750i 0.119561 0.137980i
\(31\) −0.420002 + 2.92118i −0.0754346 + 0.524659i 0.916709 + 0.399556i \(0.130836\pi\)
−0.992144 + 0.125104i \(0.960074\pi\)
\(32\) 0.959493 0.281733i 0.169616 0.0498038i
\(33\) 1.44306 + 1.66538i 0.251205 + 0.289906i
\(34\) −1.92796 + 1.23903i −0.330643 + 0.212491i
\(35\) 0.938384 0.603063i 0.158616 0.101936i
\(36\) −0.654861 0.755750i −0.109143 0.125958i
\(37\) 6.83816 2.00786i 1.12419 0.330091i 0.333766 0.942656i \(-0.391680\pi\)
0.790420 + 0.612565i \(0.209862\pi\)
\(38\) 0.512546 3.56484i 0.0831459 0.578293i
\(39\) 2.38000 2.74666i 0.381105 0.439818i
\(40\) −0.415415 + 0.909632i −0.0656829 + 0.143825i
\(41\) −2.96876 0.871706i −0.463642 0.136138i 0.0415650 0.999136i \(-0.486766\pi\)
−0.505207 + 0.862998i \(0.668584\pi\)
\(42\) −0.463379 1.01466i −0.0715009 0.156565i
\(43\) 0.768423 + 5.34450i 0.117183 + 0.815029i 0.960633 + 0.277820i \(0.0896120\pi\)
−0.843450 + 0.537208i \(0.819479\pi\)
\(44\) −1.85380 1.19136i −0.279471 0.179605i
\(45\) 1.00000 0.149071
\(46\) −2.73939 3.93646i −0.403901 0.580400i
\(47\) 4.78426 0.697856 0.348928 0.937149i \(-0.386546\pi\)
0.348928 + 0.937149i \(0.386546\pi\)
\(48\) 0.841254 + 0.540641i 0.121424 + 0.0780348i
\(49\) 0.819129 + 5.69716i 0.117018 + 0.813881i
\(50\) −0.415415 0.909632i −0.0587486 0.128641i
\(51\) −2.19894 0.645667i −0.307913 0.0904114i
\(52\) −1.50977 + 3.30593i −0.209367 + 0.458450i
\(53\) 2.36079 2.72449i 0.324279 0.374238i −0.570079 0.821590i \(-0.693087\pi\)
0.894358 + 0.447352i \(0.147633\pi\)
\(54\) 0.142315 0.989821i 0.0193666 0.134698i
\(55\) 2.11435 0.620830i 0.285099 0.0837127i
\(56\) 0.730471 + 0.843008i 0.0976133 + 0.112652i
\(57\) 3.02977 1.94711i 0.401303 0.257902i
\(58\) 1.58070 1.01585i 0.207556 0.133388i
\(59\) 4.27190 + 4.93004i 0.556154 + 0.641836i 0.962306 0.271969i \(-0.0876749\pi\)
−0.406152 + 0.913806i \(0.633129\pi\)
\(60\) −0.959493 + 0.281733i −0.123870 + 0.0363715i
\(61\) 0.549535 3.82210i 0.0703608 0.489370i −0.923921 0.382583i \(-0.875035\pi\)
0.994282 0.106787i \(-0.0340563\pi\)
\(62\) 1.93264 2.23038i 0.245445 0.283259i
\(63\) 0.463379 1.01466i 0.0583802 0.127835i
\(64\) −0.959493 0.281733i −0.119937 0.0352166i
\(65\) −1.50977 3.30593i −0.187263 0.410050i
\(66\) −0.313607 2.18119i −0.0386024 0.268485i
\(67\) 5.00718 + 3.21792i 0.611724 + 0.393131i 0.809503 0.587115i \(-0.199737\pi\)
−0.197779 + 0.980247i \(0.563373\pi\)
\(68\) 2.29177 0.277918
\(69\) 1.18106 4.64813i 0.142183 0.559569i
\(70\) −1.11546 −0.133323
\(71\) −10.6422 6.83930i −1.26299 0.811676i −0.274301 0.961644i \(-0.588447\pi\)
−0.988691 + 0.149968i \(0.952083\pi\)
\(72\) 0.142315 + 0.989821i 0.0167720 + 0.116652i
\(73\) −0.228365 0.500049i −0.0267281 0.0585263i 0.895797 0.444463i \(-0.146606\pi\)
−0.922525 + 0.385937i \(0.873878\pi\)
\(74\) −6.83816 2.00786i −0.794920 0.233410i
\(75\) 0.415415 0.909632i 0.0479680 0.105035i
\(76\) −2.35848 + 2.72183i −0.270536 + 0.312215i
\(77\) 0.349816 2.43303i 0.0398653 0.277269i
\(78\) −3.48714 + 1.02392i −0.394841 + 0.115936i
\(79\) 7.38072 + 8.51780i 0.830396 + 0.958328i 0.999629 0.0272483i \(-0.00867448\pi\)
−0.169233 + 0.985576i \(0.554129\pi\)
\(80\) 0.841254 0.540641i 0.0940550 0.0604455i
\(81\) 0.841254 0.540641i 0.0934726 0.0600712i
\(82\) 2.02620 + 2.33836i 0.223756 + 0.258228i
\(83\) 14.7497 4.33089i 1.61899 0.475377i 0.658240 0.752808i \(-0.271301\pi\)
0.960746 + 0.277431i \(0.0894829\pi\)
\(84\) −0.158746 + 1.10411i −0.0173207 + 0.120468i
\(85\) −1.50079 + 1.73201i −0.162784 + 0.187862i
\(86\) 2.24302 4.91152i 0.241871 0.529623i
\(87\) 1.80287 + 0.529370i 0.193288 + 0.0567544i
\(88\) 0.915415 + 2.00448i 0.0975836 + 0.213678i
\(89\) 0.241156 + 1.67728i 0.0255625 + 0.177791i 0.998603 0.0528443i \(-0.0168287\pi\)
−0.973040 + 0.230635i \(0.925920\pi\)
\(90\) −0.841254 0.540641i −0.0886759 0.0569885i
\(91\) −4.05398 −0.424972
\(92\) 0.176312 + 4.79259i 0.0183818 + 0.499662i
\(93\) 2.95122 0.306027
\(94\) −4.02478 2.58657i −0.415124 0.266784i
\(95\) −0.512546 3.56484i −0.0525861 0.365744i
\(96\) −0.415415 0.909632i −0.0423981 0.0928389i
\(97\) −1.17742 0.345721i −0.119549 0.0351027i 0.221411 0.975181i \(-0.428934\pi\)
−0.340960 + 0.940078i \(0.610752\pi\)
\(98\) 2.39102 5.23561i 0.241530 0.528877i
\(99\) 1.44306 1.66538i 0.145033 0.167377i
\(100\) −0.142315 + 0.989821i −0.0142315 + 0.0989821i
\(101\) −5.78093 + 1.69743i −0.575224 + 0.168901i −0.556390 0.830922i \(-0.687814\pi\)
−0.0188346 + 0.999823i \(0.505996\pi\)
\(102\) 1.50079 + 1.73201i 0.148600 + 0.171494i
\(103\) −4.80065 + 3.08519i −0.473022 + 0.303993i −0.755346 0.655326i \(-0.772531\pi\)
0.282324 + 0.959319i \(0.408895\pi\)
\(104\) 3.05742 1.96488i 0.299804 0.192672i
\(105\) −0.730471 0.843008i −0.0712866 0.0822692i
\(106\) −3.45899 + 1.01565i −0.335967 + 0.0986488i
\(107\) −1.10543 + 7.68845i −0.106866 + 0.743270i 0.863973 + 0.503538i \(0.167969\pi\)
−0.970839 + 0.239732i \(0.922940\pi\)
\(108\) −0.654861 + 0.755750i −0.0630140 + 0.0727220i
\(109\) −0.810485 + 1.77471i −0.0776304 + 0.169987i −0.944468 0.328604i \(-0.893422\pi\)
0.866837 + 0.498591i \(0.166149\pi\)
\(110\) −2.11435 0.620830i −0.201596 0.0591938i
\(111\) −2.96060 6.48281i −0.281008 0.615321i
\(112\) −0.158746 1.10411i −0.0150001 0.104328i
\(113\) 1.76108 + 1.13178i 0.165669 + 0.106469i 0.620848 0.783931i \(-0.286788\pi\)
−0.455179 + 0.890400i \(0.650425\pi\)
\(114\) −3.60149 −0.337311
\(115\) −3.73746 3.00523i −0.348520 0.280239i
\(116\) −1.87898 −0.174459
\(117\) −3.05742 1.96488i −0.282658 0.181653i
\(118\) −0.928373 6.45698i −0.0854637 0.594413i
\(119\) 1.06196 + 2.32536i 0.0973495 + 0.213166i
\(120\) 0.959493 + 0.281733i 0.0875893 + 0.0257185i
\(121\) −2.55234 + 5.58885i −0.232031 + 0.508077i
\(122\) −2.52868 + 2.91826i −0.228936 + 0.264206i
\(123\) −0.440335 + 3.06260i −0.0397037 + 0.276145i
\(124\) −2.83167 + 0.831455i −0.254292 + 0.0746668i
\(125\) −0.654861 0.755750i −0.0585725 0.0675963i
\(126\) −0.938384 + 0.603063i −0.0835979 + 0.0537251i
\(127\) −8.39633 + 5.39599i −0.745054 + 0.478817i −0.857270 0.514867i \(-0.827841\pi\)
0.112216 + 0.993684i \(0.464205\pi\)
\(128\) 0.654861 + 0.755750i 0.0578821 + 0.0667995i
\(129\) 5.18074 1.52120i 0.456139 0.133935i
\(130\) −0.517223 + 3.59736i −0.0453634 + 0.315510i
\(131\) −12.7268 + 14.6875i −1.11194 + 1.28325i −0.156631 + 0.987657i \(0.550063\pi\)
−0.955313 + 0.295595i \(0.904482\pi\)
\(132\) −0.915415 + 2.00448i −0.0796766 + 0.174468i
\(133\) −3.85459 1.13181i −0.334235 0.0981404i
\(134\) −2.47257 5.41417i −0.213597 0.467713i
\(135\) −0.142315 0.989821i −0.0122485 0.0851903i
\(136\) −1.92796 1.23903i −0.165321 0.106246i
\(137\) −4.64926 −0.397213 −0.198607 0.980079i \(-0.563642\pi\)
−0.198607 + 0.980079i \(0.563642\pi\)
\(138\) −3.50654 + 3.27173i −0.298496 + 0.278508i
\(139\) 0.144422 0.0122497 0.00612486 0.999981i \(-0.498050\pi\)
0.00612486 + 0.999981i \(0.498050\pi\)
\(140\) 0.938384 + 0.603063i 0.0793080 + 0.0509681i
\(141\) −0.680871 4.73556i −0.0573397 0.398806i
\(142\) 5.25515 + 11.5072i 0.441002 + 0.965661i
\(143\) −7.68431 2.25632i −0.642595 0.188683i
\(144\) 0.415415 0.909632i 0.0346179 0.0758027i
\(145\) 1.23047 1.42004i 0.102185 0.117928i
\(146\) −0.0782343 + 0.544132i −0.00647472 + 0.0450327i
\(147\) 5.52260 1.62158i 0.455496 0.133746i
\(148\) 4.66709 + 5.38611i 0.383633 + 0.442736i
\(149\) 5.87457 3.77535i 0.481263 0.309289i −0.277420 0.960749i \(-0.589479\pi\)
0.758683 + 0.651460i \(0.225843\pi\)
\(150\) −0.841254 + 0.540641i −0.0686881 + 0.0441431i
\(151\) −2.61580 3.01880i −0.212871 0.245666i 0.639265 0.768986i \(-0.279239\pi\)
−0.852136 + 0.523320i \(0.824693\pi\)
\(152\) 3.45561 1.01466i 0.280287 0.0822996i
\(153\) −0.326153 + 2.26844i −0.0263679 + 0.183393i
\(154\) −1.60968 + 1.85767i −0.129711 + 0.149695i
\(155\) 1.22598 2.68452i 0.0984732 0.215626i
\(156\) 3.48714 + 1.02392i 0.279195 + 0.0819789i
\(157\) −3.91721 8.57748i −0.312627 0.684558i 0.686465 0.727163i \(-0.259162\pi\)
−0.999092 + 0.0426051i \(0.986434\pi\)
\(158\) −1.60398 11.1559i −0.127606 0.887520i
\(159\) −3.03274 1.94902i −0.240512 0.154567i
\(160\) −1.00000 −0.0790569
\(161\) −4.78114 + 2.39968i −0.376807 + 0.189121i
\(162\) −1.00000 −0.0785674
\(163\) −4.16417 2.67615i −0.326163 0.209612i 0.367304 0.930101i \(-0.380281\pi\)
−0.693466 + 0.720489i \(0.743917\pi\)
\(164\) −0.440335 3.06260i −0.0343844 0.239149i
\(165\) −0.915415 2.00448i −0.0712650 0.156049i
\(166\) −14.7497 4.33089i −1.14480 0.336142i
\(167\) −2.83929 + 6.21717i −0.219711 + 0.481099i −0.987105 0.160077i \(-0.948826\pi\)
0.767394 + 0.641176i \(0.221553\pi\)
\(168\) 0.730471 0.843008i 0.0563570 0.0650395i
\(169\) −0.0296791 + 0.206423i −0.00228301 + 0.0158787i
\(170\) 2.19894 0.645667i 0.168651 0.0495204i
\(171\) −2.35848 2.72183i −0.180357 0.208143i
\(172\) −4.54231 + 2.91917i −0.346348 + 0.222584i
\(173\) −18.8592 + 12.1200i −1.43384 + 0.921470i −0.434047 + 0.900890i \(0.642915\pi\)
−0.999788 + 0.0205800i \(0.993449\pi\)
\(174\) −1.23047 1.42004i −0.0932817 0.107653i
\(175\) −1.07028 + 0.314261i −0.0809052 + 0.0237559i
\(176\) 0.313607 2.18119i 0.0236390 0.164413i
\(177\) 4.27190 4.93004i 0.321096 0.370564i
\(178\) 0.703930 1.54139i 0.0527618 0.115532i
\(179\) 7.82597 + 2.29791i 0.584941 + 0.171754i 0.560795 0.827954i \(-0.310495\pi\)
0.0241452 + 0.999708i \(0.492314\pi\)
\(180\) 0.415415 + 0.909632i 0.0309632 + 0.0678000i
\(181\) −2.90313 20.1917i −0.215788 1.50084i −0.753353 0.657616i \(-0.771565\pi\)
0.537565 0.843222i \(-0.319344\pi\)
\(182\) 3.41042 + 2.19175i 0.252797 + 0.162463i
\(183\) −3.86141 −0.285443
\(184\) 2.44275 4.12710i 0.180082 0.304254i
\(185\) −7.12685 −0.523976
\(186\) −2.48272 1.59555i −0.182042 0.116991i
\(187\) 0.718716 + 4.99878i 0.0525577 + 0.365547i
\(188\) 1.98745 + 4.35192i 0.144950 + 0.317396i
\(189\) −1.07028 0.314261i −0.0778511 0.0228591i
\(190\) −1.49611 + 3.27603i −0.108540 + 0.237668i
\(191\) −14.0940 + 16.2654i −1.01981 + 1.17692i −0.0356963 + 0.999363i \(0.511365\pi\)
−0.984110 + 0.177557i \(0.943181\pi\)
\(192\) −0.142315 + 0.989821i −0.0102707 + 0.0714342i
\(193\) 7.23634 2.12478i 0.520883 0.152945i −0.0107136 0.999943i \(-0.503410\pi\)
0.531597 + 0.846997i \(0.321592\pi\)
\(194\) 0.803596 + 0.927399i 0.0576948 + 0.0665834i
\(195\) −3.05742 + 1.96488i −0.218946 + 0.140708i
\(196\) −4.84204 + 3.11179i −0.345860 + 0.222271i
\(197\) −12.6510 14.6001i −0.901349 1.04021i −0.998987 0.0449906i \(-0.985674\pi\)
0.0976381 0.995222i \(-0.468871\pi\)
\(198\) −2.11435 + 0.620830i −0.150261 + 0.0441205i
\(199\) −2.80378 + 19.5007i −0.198755 + 1.38237i 0.609149 + 0.793056i \(0.291511\pi\)
−0.807904 + 0.589315i \(0.799398\pi\)
\(200\) 0.654861 0.755750i 0.0463056 0.0534396i
\(201\) 2.47257 5.41417i 0.174402 0.381886i
\(202\) 5.78093 + 1.69743i 0.406745 + 0.119431i
\(203\) −0.870680 1.90652i −0.0611097 0.133812i
\(204\) −0.326153 2.26844i −0.0228353 0.158823i
\(205\) 2.60291 + 1.67279i 0.181795 + 0.116833i
\(206\) 5.70654 0.397593
\(207\) −4.76890 0.507539i −0.331461 0.0352764i
\(208\) −3.63436 −0.251997
\(209\) −6.67645 4.29069i −0.461819 0.296793i
\(210\) 0.158746 + 1.10411i 0.0109545 + 0.0761905i
\(211\) −11.4631 25.1007i −0.789151 1.72800i −0.679064 0.734079i \(-0.737614\pi\)
−0.110087 0.993922i \(-0.535113\pi\)
\(212\) 3.45899 + 1.01565i 0.237564 + 0.0697552i
\(213\) −5.25515 + 11.5072i −0.360077 + 0.788459i
\(214\) 5.08664 5.87029i 0.347715 0.401285i
\(215\) 0.768423 5.34450i 0.0524060 0.364492i
\(216\) 0.959493 0.281733i 0.0652852 0.0191695i
\(217\) −2.15578 2.48790i −0.146344 0.168890i
\(218\) 1.64131 1.05480i 0.111163 0.0714403i
\(219\) −0.462460 + 0.297205i −0.0312501 + 0.0200832i
\(220\) 1.44306 + 1.66538i 0.0972912 + 0.112280i
\(221\) 7.99173 2.34658i 0.537582 0.157848i
\(222\) −1.01426 + 7.05431i −0.0680724 + 0.473454i
\(223\) −3.40958 + 3.93487i −0.228323 + 0.263498i −0.858338 0.513084i \(-0.828503\pi\)
0.630016 + 0.776582i \(0.283048\pi\)
\(224\) −0.463379 + 1.01466i −0.0309608 + 0.0677947i
\(225\) −0.959493 0.281733i −0.0639662 0.0187822i
\(226\) −0.869632 1.90423i −0.0578470 0.126667i
\(227\) 1.60108 + 11.1358i 0.106267 + 0.739106i 0.971380 + 0.237529i \(0.0763376\pi\)
−0.865113 + 0.501577i \(0.832753\pi\)
\(228\) 3.02977 + 1.94711i 0.200651 + 0.128951i
\(229\) 17.0688 1.12794 0.563970 0.825795i \(-0.309273\pi\)
0.563970 + 0.825795i \(0.309273\pi\)
\(230\) 1.51940 + 4.54878i 0.100186 + 0.299938i
\(231\) −2.45804 −0.161727
\(232\) 1.58070 + 1.01585i 0.103778 + 0.0666941i
\(233\) −2.39724 16.6732i −0.157049 1.09230i −0.904035 0.427458i \(-0.859409\pi\)
0.746987 0.664839i \(-0.231500\pi\)
\(234\) 1.50977 + 3.30593i 0.0986965 + 0.216115i
\(235\) −4.59047 1.34788i −0.299449 0.0879261i
\(236\) −2.70991 + 5.93387i −0.176400 + 0.386262i
\(237\) 7.38072 8.51780i 0.479429 0.553291i
\(238\) 0.363811 2.53036i 0.0235823 0.164019i
\(239\) 1.15559 0.339311i 0.0747488 0.0219482i −0.244144 0.969739i \(-0.578507\pi\)
0.318893 + 0.947791i \(0.396689\pi\)
\(240\) −0.654861 0.755750i −0.0422711 0.0487834i
\(241\) 5.19970 3.34165i 0.334942 0.215254i −0.362349 0.932043i \(-0.618025\pi\)
0.697291 + 0.716788i \(0.254389\pi\)
\(242\) 5.16873 3.32174i 0.332258 0.213529i
\(243\) −0.654861 0.755750i −0.0420093 0.0484814i
\(244\) 3.70499 1.08788i 0.237188 0.0696446i
\(245\) 0.819129 5.69716i 0.0523322 0.363978i
\(246\) 2.02620 2.33836i 0.129186 0.149088i
\(247\) −5.43741 + 11.9063i −0.345974 + 0.757578i
\(248\) 2.83167 + 0.831455i 0.179812 + 0.0527974i
\(249\) −6.38591 13.9832i −0.404690 0.886148i
\(250\) 0.142315 + 0.989821i 0.00900078 + 0.0626018i
\(251\) 15.1070 + 9.70870i 0.953548 + 0.612808i 0.922205 0.386701i \(-0.126385\pi\)
0.0313426 + 0.999509i \(0.490022\pi\)
\(252\) 1.11546 0.0702674
\(253\) −10.3982 + 1.88756i −0.653732 + 0.118670i
\(254\) 9.98074 0.626247
\(255\) 1.92796 + 1.23903i 0.120734 + 0.0775908i
\(256\) −0.142315 0.989821i −0.00889468 0.0618638i
\(257\) 0.674734 + 1.47746i 0.0420888 + 0.0921615i 0.929508 0.368801i \(-0.120232\pi\)
−0.887420 + 0.460962i \(0.847504\pi\)
\(258\) −5.18074 1.52120i −0.322539 0.0947060i
\(259\) −3.30243 + 7.23131i −0.205203 + 0.449332i
\(260\) 2.38000 2.74666i 0.147601 0.170341i
\(261\) 0.267407 1.85986i 0.0165521 0.115122i
\(262\) 18.6471 5.47528i 1.15202 0.338264i
\(263\) 14.8194 + 17.1025i 0.913802 + 1.05458i 0.998307 + 0.0581609i \(0.0185237\pi\)
−0.0845050 + 0.996423i \(0.526931\pi\)
\(264\) 1.85380 1.19136i 0.114093 0.0733234i
\(265\) −3.03274 + 1.94902i −0.186299 + 0.119727i
\(266\) 2.63079 + 3.03609i 0.161304 + 0.186155i
\(267\) 1.62588 0.477402i 0.0995024 0.0292166i
\(268\) −0.847064 + 5.89146i −0.0517427 + 0.359878i
\(269\) 3.26009 3.76235i 0.198771 0.229394i −0.647610 0.761972i \(-0.724231\pi\)
0.846381 + 0.532578i \(0.178777\pi\)
\(270\) −0.415415 + 0.909632i −0.0252814 + 0.0553584i
\(271\) −4.27401 1.25496i −0.259627 0.0762335i 0.149328 0.988788i \(-0.452289\pi\)
−0.408956 + 0.912554i \(0.634107\pi\)
\(272\) 0.952036 + 2.08467i 0.0577257 + 0.126402i
\(273\) 0.576941 + 4.01271i 0.0349181 + 0.242861i
\(274\) 3.91121 + 2.51358i 0.236285 + 0.151851i
\(275\) −2.20362 −0.132883
\(276\) 4.71872 0.856574i 0.284033 0.0515597i
\(277\) 21.8537 1.31306 0.656530 0.754300i \(-0.272024\pi\)
0.656530 + 0.754300i \(0.272024\pi\)
\(278\) −0.121496 0.0780805i −0.00728682 0.00468296i
\(279\) −0.420002 2.92118i −0.0251449 0.174886i
\(280\) −0.463379 1.01466i −0.0276922 0.0606374i
\(281\) −2.42666 0.712532i −0.144762 0.0425061i 0.208549 0.978012i \(-0.433126\pi\)
−0.353311 + 0.935506i \(0.614944\pi\)
\(282\) −1.98745 + 4.35192i −0.118351 + 0.259153i
\(283\) 5.89028 6.79775i 0.350141 0.404084i −0.553171 0.833067i \(-0.686583\pi\)
0.903312 + 0.428983i \(0.141128\pi\)
\(284\) 1.80033 12.5216i 0.106830 0.743020i
\(285\) −3.45561 + 1.01466i −0.204693 + 0.0601031i
\(286\) 5.24460 + 6.05259i 0.310120 + 0.357897i
\(287\) 2.90345 1.86593i 0.171385 0.110142i
\(288\) −0.841254 + 0.540641i −0.0495713 + 0.0318576i
\(289\) 7.69316 + 8.87838i 0.452539 + 0.522258i
\(290\) −1.80287 + 0.529370i −0.105868 + 0.0310857i
\(291\) −0.174638 + 1.21463i −0.0102375 + 0.0712031i
\(292\) 0.359995 0.415456i 0.0210671 0.0243127i
\(293\) 11.3741 24.9058i 0.664482 1.45501i −0.213805 0.976876i \(-0.568586\pi\)
0.878286 0.478135i \(-0.158687\pi\)
\(294\) −5.52260 1.62158i −0.322085 0.0945726i
\(295\) −2.70991 5.93387i −0.157777 0.345483i
\(296\) −1.01426 7.05431i −0.0589524 0.410023i
\(297\) −1.85380 1.19136i −0.107568 0.0691300i
\(298\) −6.98311 −0.404521
\(299\) 5.52204 + 16.5319i 0.319348 + 0.956064i
\(300\) 1.00000 0.0577350
\(301\) −5.06677 3.25621i −0.292044 0.187685i
\(302\) 0.568468 + 3.95378i 0.0327117 + 0.227515i
\(303\) 2.50287 + 5.48052i 0.143786 + 0.314848i
\(304\) −3.45561 1.01466i −0.198193 0.0581946i
\(305\) −1.60409 + 3.51246i −0.0918497 + 0.201123i
\(306\) 1.50079 1.73201i 0.0857945 0.0990122i
\(307\) 3.58430 24.9293i 0.204567 1.42279i −0.585948 0.810349i \(-0.699278\pi\)
0.790515 0.612443i \(-0.209813\pi\)
\(308\) 2.35848 0.692511i 0.134387 0.0394595i
\(309\) 3.73699 + 4.31271i 0.212590 + 0.245342i
\(310\) −2.48272 + 1.59555i −0.141009 + 0.0906211i
\(311\) −9.78441 + 6.28806i −0.554823 + 0.356563i −0.787811 0.615917i \(-0.788786\pi\)
0.232989 + 0.972479i \(0.425149\pi\)
\(312\) −2.38000 2.74666i −0.134741 0.155499i
\(313\) 19.8646 5.83278i 1.12281 0.329688i 0.332935 0.942950i \(-0.391961\pi\)
0.789880 + 0.613262i \(0.210143\pi\)
\(314\) −1.34197 + 9.33364i −0.0757320 + 0.526728i
\(315\) −0.730471 + 0.843008i −0.0411574 + 0.0474981i
\(316\) −4.68201 + 10.2522i −0.263383 + 0.576729i
\(317\) 17.1086 + 5.02355i 0.960917 + 0.282151i 0.724325 0.689458i \(-0.242151\pi\)
0.236592 + 0.971609i \(0.423970\pi\)
\(318\) 1.49758 + 3.27924i 0.0839801 + 0.183891i
\(319\) −0.589262 4.09841i −0.0329923 0.229467i
\(320\) 0.841254 + 0.540641i 0.0470275 + 0.0302227i
\(321\) 7.76751 0.433540
\(322\) 5.31952 + 0.566140i 0.296445 + 0.0315497i
\(323\) 8.25380 0.459254
\(324\) 0.841254 + 0.540641i 0.0467363 + 0.0300356i
\(325\) 0.517223 + 3.59736i 0.0286904 + 0.199546i
\(326\) 2.05629 + 4.50264i 0.113887 + 0.249378i
\(327\) 1.87199 + 0.549667i 0.103522 + 0.0303967i
\(328\) −1.28533 + 2.81448i −0.0709705 + 0.155404i
\(329\) −3.49476 + 4.03317i −0.192673 + 0.222356i
\(330\) −0.313607 + 2.18119i −0.0172635 + 0.120070i
\(331\) 28.2850 8.30522i 1.55468 0.456496i 0.612187 0.790713i \(-0.290290\pi\)
0.942496 + 0.334217i \(0.108472\pi\)
\(332\) 10.0667 + 11.6176i 0.552485 + 0.637601i
\(333\) −5.99548 + 3.85306i −0.328551 + 0.211147i
\(334\) 5.74982 3.69518i 0.314616 0.202191i
\(335\) −3.89776 4.49825i −0.212957 0.245766i
\(336\) −1.07028 + 0.314261i −0.0583883 + 0.0171444i
\(337\) −0.744306 + 5.17676i −0.0405449 + 0.281996i 0.959455 + 0.281862i \(0.0909519\pi\)
−1.00000 0.000134515i \(0.999957\pi\)
\(338\) 0.136568 0.157608i 0.00742833 0.00857275i
\(339\) 0.869632 1.90423i 0.0472319 0.103423i
\(340\) −2.19894 0.645667i −0.119254 0.0350162i
\(341\) −2.70159 5.91566i −0.146299 0.320351i
\(342\) 0.512546 + 3.56484i 0.0277153 + 0.192764i
\(343\) −11.9698 7.69252i −0.646308 0.415357i
\(344\) 5.39946 0.291119
\(345\) −2.44275 + 4.12710i −0.131513 + 0.222196i
\(346\) 22.4179 1.20520
\(347\) −7.15591 4.59882i −0.384149 0.246878i 0.334286 0.942472i \(-0.391505\pi\)
−0.718435 + 0.695594i \(0.755141\pi\)
\(348\) 0.267407 + 1.85986i 0.0143345 + 0.0996987i
\(349\) −12.9383 28.3309i −0.692570 1.51652i −0.848753 0.528789i \(-0.822646\pi\)
0.156183 0.987728i \(-0.450081\pi\)
\(350\) 1.07028 + 0.314261i 0.0572086 + 0.0167980i
\(351\) −1.50977 + 3.30593i −0.0805854 + 0.176457i
\(352\) −1.44306 + 1.66538i −0.0769154 + 0.0887651i
\(353\) −2.33246 + 16.2226i −0.124144 + 0.863441i 0.828638 + 0.559785i \(0.189116\pi\)
−0.952782 + 0.303656i \(0.901793\pi\)
\(354\) −6.25913 + 1.83785i −0.332669 + 0.0976805i
\(355\) 8.28423 + 9.56051i 0.439681 + 0.507419i
\(356\) −1.42552 + 0.916128i −0.0755526 + 0.0485547i
\(357\) 2.15056 1.38208i 0.113820 0.0731476i
\(358\) −5.34128 6.16417i −0.282295 0.325786i
\(359\) 9.25262 2.71682i 0.488335 0.143388i −0.0282903 0.999600i \(-0.509006\pi\)
0.516625 + 0.856212i \(0.327188\pi\)
\(360\) 0.142315 0.989821i 0.00750065 0.0521682i
\(361\) 3.94832 4.55660i 0.207806 0.239821i
\(362\) −8.47420 + 18.5559i −0.445394 + 0.975277i
\(363\) 5.89520 + 1.73099i 0.309418 + 0.0908532i
\(364\) −1.68408 3.68763i −0.0882699 0.193284i
\(365\) 0.0782343 + 0.544132i 0.00409497 + 0.0284812i
\(366\) 3.24842 + 2.08763i 0.169798 + 0.109122i
\(367\) −20.1785 −1.05331 −0.526654 0.850080i \(-0.676554\pi\)
−0.526654 + 0.850080i \(0.676554\pi\)
\(368\) −4.28625 + 2.15129i −0.223436 + 0.112144i
\(369\) 3.09409 0.161072
\(370\) 5.99548 + 3.85306i 0.311690 + 0.200311i
\(371\) 0.572284 + 3.98032i 0.0297115 + 0.206648i
\(372\) 1.22598 + 2.68452i 0.0635642 + 0.139186i
\(373\) −4.88027 1.43298i −0.252691 0.0741967i 0.152934 0.988236i \(-0.451128\pi\)
−0.405625 + 0.914040i \(0.632946\pi\)
\(374\) 2.09792 4.59381i 0.108481 0.237540i
\(375\) −0.654861 + 0.755750i −0.0338169 + 0.0390267i
\(376\) 0.680871 4.73556i 0.0351133 0.244218i
\(377\) −6.55227 + 1.92392i −0.337459 + 0.0990869i
\(378\) 0.730471 + 0.843008i 0.0375714 + 0.0433597i
\(379\) 10.1298 6.51001i 0.520331 0.334397i −0.253972 0.967212i \(-0.581737\pi\)
0.774303 + 0.632815i \(0.218101\pi\)
\(380\) 3.02977 1.94711i 0.155424 0.0998848i
\(381\) 6.53599 + 7.54294i 0.334849 + 0.386436i
\(382\) 20.6504 6.06349i 1.05656 0.310235i
\(383\) −0.446021 + 3.10214i −0.0227906 + 0.158512i −0.998039 0.0626018i \(-0.980060\pi\)
0.975248 + 0.221114i \(0.0709693\pi\)
\(384\) 0.654861 0.755750i 0.0334182 0.0385667i
\(385\) −1.02111 + 2.23592i −0.0520405 + 0.113953i
\(386\) −7.23634 2.12478i −0.368320 0.108149i
\(387\) −2.24302 4.91152i −0.114019 0.249667i
\(388\) −0.174638 1.21463i −0.00886591 0.0616637i
\(389\) 6.22243 + 3.99891i 0.315490 + 0.202753i 0.688796 0.724955i \(-0.258140\pi\)
−0.373306 + 0.927708i \(0.621776\pi\)
\(390\) 3.63436 0.184033
\(391\) 8.03618 7.49805i 0.406407 0.379193i
\(392\) 5.75575 0.290709
\(393\) 16.3492 + 10.5070i 0.824708 + 0.530008i
\(394\) 2.74933 + 19.1220i 0.138509 + 0.963354i
\(395\) −4.68201 10.2522i −0.235577 0.515842i
\(396\) 2.11435 + 0.620830i 0.106250 + 0.0311979i
\(397\) 2.30365 5.04429i 0.115617 0.253166i −0.842973 0.537956i \(-0.819197\pi\)
0.958590 + 0.284790i \(0.0919239\pi\)
\(398\) 12.9016 14.8892i 0.646698 0.746329i
\(399\) −0.571724 + 3.97643i −0.0286220 + 0.199070i
\(400\) −0.959493 + 0.281733i −0.0479746 + 0.0140866i
\(401\) 24.2646 + 28.0029i 1.21172 + 1.39840i 0.892703 + 0.450646i \(0.148806\pi\)
0.319014 + 0.947750i \(0.396648\pi\)
\(402\) −5.00718 + 3.21792i −0.249735 + 0.160495i
\(403\) −9.02310 + 5.79880i −0.449473 + 0.288859i
\(404\) −3.94553 4.55338i −0.196297 0.226539i
\(405\) −0.959493 + 0.281733i −0.0476776 + 0.0139994i
\(406\) −0.298282 + 2.07459i −0.0148035 + 0.102960i
\(407\) −10.2845 + 11.8689i −0.509783 + 0.588320i
\(408\) −0.952036 + 2.08467i −0.0471328 + 0.103206i
\(409\) 21.5091 + 6.31565i 1.06356 + 0.312289i 0.766283 0.642503i \(-0.222104\pi\)
0.297275 + 0.954792i \(0.403922\pi\)
\(410\) −1.28533 2.81448i −0.0634780 0.138997i
\(411\) 0.661659 + 4.60194i 0.0326372 + 0.226997i
\(412\) −4.80065 3.08519i −0.236511 0.151996i
\(413\) −7.27656 −0.358056
\(414\) 3.73746 + 3.00523i 0.183686 + 0.147699i
\(415\) −15.3724 −0.754599
\(416\) 3.05742 + 1.96488i 0.149902 + 0.0963362i
\(417\) −0.0205534 0.142952i −0.00100650 0.00700039i
\(418\) 3.29686 + 7.21912i 0.161255 + 0.353099i
\(419\) −6.56228 1.92686i −0.320588 0.0941332i 0.117479 0.993075i \(-0.462519\pi\)
−0.438067 + 0.898942i \(0.644337\pi\)
\(420\) 0.463379 1.01466i 0.0226106 0.0495102i
\(421\) 16.1859 18.6795i 0.788850 0.910382i −0.208865 0.977945i \(-0.566977\pi\)
0.997715 + 0.0675627i \(0.0215223\pi\)
\(422\) −3.92708 + 27.3134i −0.191167 + 1.32960i
\(423\) −4.59047 + 1.34788i −0.223196 + 0.0655363i
\(424\) −2.36079 2.72449i −0.114650 0.132313i
\(425\) 1.92796 1.23903i 0.0935198 0.0601016i
\(426\) 10.6422 6.83930i 0.515614 0.331365i
\(427\) 2.82064 + 3.25520i 0.136501 + 0.157530i
\(428\) −7.45287 + 2.18836i −0.360248 + 0.105778i
\(429\) −1.13976 + 7.92721i −0.0550281 + 0.382729i
\(430\) −3.53589 + 4.08064i −0.170516 + 0.196786i
\(431\) −7.17904 + 15.7199i −0.345802 + 0.757202i 0.654197 + 0.756324i \(0.273007\pi\)
−1.00000 0.000877660i \(0.999721\pi\)
\(432\) −0.959493 0.281733i −0.0461636 0.0135549i
\(433\) −2.92720 6.40967i −0.140672 0.308029i 0.826163 0.563432i \(-0.190519\pi\)
−0.966835 + 0.255403i \(0.917792\pi\)
\(434\) 0.468496 + 3.25846i 0.0224885 + 0.156411i
\(435\) −1.58070 1.01585i −0.0757887 0.0487065i
\(436\) −1.95102 −0.0934371
\(437\) 0.634986 + 17.2605i 0.0303755 + 0.825681i
\(438\) 0.549727 0.0262670
\(439\) −19.6429 12.6238i −0.937507 0.602499i −0.0198199 0.999804i \(-0.506309\pi\)
−0.917687 + 0.397305i \(0.869946\pi\)
\(440\) −0.313607 2.18119i −0.0149506 0.103984i
\(441\) −2.39102 5.23561i −0.113858 0.249315i
\(442\) −7.99173 2.34658i −0.380128 0.111616i
\(443\) 3.91717 8.57740i 0.186110 0.407525i −0.793461 0.608621i \(-0.791723\pi\)
0.979572 + 0.201096i \(0.0644504\pi\)
\(444\) 4.66709 5.38611i 0.221490 0.255614i
\(445\) 0.241156 1.67728i 0.0114319 0.0795105i
\(446\) 4.99567 1.46686i 0.236552 0.0694579i
\(447\) −4.57296 5.27748i −0.216294 0.249616i
\(448\) 0.938384 0.603063i 0.0443345 0.0284921i
\(449\) −20.5198 + 13.1872i −0.968387 + 0.622345i −0.926307 0.376770i \(-0.877035\pi\)
−0.0420802 + 0.999114i \(0.513399\pi\)
\(450\) 0.654861 + 0.755750i 0.0308704 + 0.0356264i
\(451\) 6.54200 1.92090i 0.308051 0.0904519i
\(452\) −0.297923 + 2.07210i −0.0140131 + 0.0974632i
\(453\) −2.61580 + 3.01880i −0.122901 + 0.141835i
\(454\) 4.67353 10.2336i 0.219340 0.480287i
\(455\) 3.88976 + 1.14214i 0.182355 + 0.0535442i
\(456\) −1.49611 3.27603i −0.0700620 0.153414i
\(457\) −5.09006 35.4021i −0.238103 1.65604i −0.661387 0.750045i \(-0.730032\pi\)
0.423284 0.905997i \(-0.360877\pi\)
\(458\) −14.3592 9.22811i −0.670962 0.431201i
\(459\) 2.29177 0.106971
\(460\) 1.18106 4.64813i 0.0550671 0.216720i
\(461\) −4.21318 −0.196227 −0.0981137 0.995175i \(-0.531281\pi\)
−0.0981137 + 0.995175i \(0.531281\pi\)
\(462\) 2.06784 + 1.32892i 0.0962046 + 0.0618269i
\(463\) 0.681390 + 4.73917i 0.0316669 + 0.220248i 0.999510 0.0313074i \(-0.00996707\pi\)
−0.967843 + 0.251555i \(0.919058\pi\)
\(464\) −0.780557 1.70918i −0.0362364 0.0793467i
\(465\) −2.83167 0.831455i −0.131316 0.0385578i
\(466\) −6.99752 + 15.3224i −0.324154 + 0.709798i
\(467\) 13.8689 16.0056i 0.641776 0.740649i −0.337912 0.941178i \(-0.609721\pi\)
0.979688 + 0.200529i \(0.0642660\pi\)
\(468\) 0.517223 3.59736i 0.0239086 0.166288i
\(469\) −6.37033 + 1.87050i −0.294154 + 0.0863715i
\(470\) 3.13303 + 3.61570i 0.144516 + 0.166780i
\(471\) −7.93270 + 5.09804i −0.365520 + 0.234905i
\(472\) 5.48781 3.52680i 0.252597 0.162334i
\(473\) −7.79175 8.99216i −0.358265 0.413460i
\(474\) −10.8141 + 3.17531i −0.496709 + 0.145847i
\(475\) −0.512546 + 3.56484i −0.0235172 + 0.163566i
\(476\) −1.67407 + 1.93198i −0.0767310 + 0.0885523i
\(477\) −1.49758 + 3.27924i −0.0685694 + 0.150146i
\(478\) −1.15559 0.339311i −0.0528554 0.0155197i
\(479\) 4.19212 + 9.17946i 0.191543 + 0.419420i 0.980900 0.194514i \(-0.0623131\pi\)
−0.789357 + 0.613935i \(0.789586\pi\)
\(480\) 0.142315 + 0.989821i 0.00649575 + 0.0451790i
\(481\) 21.7897 + 14.0034i 0.993526 + 0.638500i
\(482\) −6.18090 −0.281532
\(483\) 3.05568 + 4.39096i 0.139038 + 0.199796i
\(484\) −6.14408 −0.279276
\(485\) 1.03232 + 0.663434i 0.0468754 + 0.0301250i
\(486\) 0.142315 + 0.989821i 0.00645553 + 0.0448992i
\(487\) −16.2741 35.6353i −0.737451 1.61479i −0.787703 0.616055i \(-0.788730\pi\)
0.0502527 0.998737i \(-0.483997\pi\)
\(488\) −3.70499 1.08788i −0.167717 0.0492462i
\(489\) −2.05629 + 4.50264i −0.0929885 + 0.203616i
\(490\) −3.76921 + 4.34991i −0.170276 + 0.196509i
\(491\) −1.88980 + 13.1438i −0.0852853 + 0.593172i 0.901700 + 0.432362i \(0.142320\pi\)
−0.986985 + 0.160810i \(0.948589\pi\)
\(492\) −2.96876 + 0.871706i −0.133842 + 0.0392995i
\(493\) 2.81996 + 3.25440i 0.127005 + 0.146571i
\(494\) 11.0113 7.07651i 0.495420 0.318387i
\(495\) −1.85380 + 1.19136i −0.0833221 + 0.0535479i
\(496\) −1.93264 2.23038i −0.0867780 0.100147i
\(497\) 13.5394 3.97552i 0.607324 0.178326i
\(498\) −2.18771 + 15.2159i −0.0980338 + 0.681840i
\(499\) −12.2833 + 14.1757i −0.549876 + 0.634591i −0.960854 0.277054i \(-0.910642\pi\)
0.410978 + 0.911645i \(0.365187\pi\)
\(500\) 0.415415 0.909632i 0.0185779 0.0406800i
\(501\) 6.55796 + 1.92559i 0.292988 + 0.0860291i
\(502\) −7.45993 16.3350i −0.332953 0.729065i
\(503\) −5.17738 36.0094i −0.230848 1.60558i −0.694452 0.719539i \(-0.744353\pi\)
0.463604 0.886043i \(-0.346556\pi\)
\(504\) −0.938384 0.603063i −0.0417990 0.0268626i
\(505\) 6.02499 0.268108
\(506\) 9.76804 + 4.03379i 0.434243 + 0.179324i
\(507\) 0.208546 0.00926183
\(508\) −8.39633 5.39599i −0.372527 0.239408i
\(509\) −3.28862 22.8729i −0.145766 1.01382i −0.923052 0.384675i \(-0.874313\pi\)
0.777286 0.629147i \(-0.216596\pi\)
\(510\) −0.952036 2.08467i −0.0421569 0.0923107i
\(511\) 0.588360 + 0.172758i 0.0260275 + 0.00764236i
\(512\) −0.415415 + 0.909632i −0.0183589 + 0.0402004i
\(513\) −2.35848 + 2.72183i −0.104129 + 0.120172i
\(514\) 0.231154 1.60771i 0.0101957 0.0709130i
\(515\) 5.47538 1.60772i 0.241274 0.0708445i
\(516\) 3.53589 + 4.08064i 0.155659 + 0.179640i
\(517\) −8.86906 + 5.69980i −0.390061 + 0.250677i
\(518\) 6.68772 4.29794i 0.293842 0.188841i
\(519\) 14.6806 + 16.9423i 0.644408 + 0.743686i
\(520\) −3.48714 + 1.02392i −0.152921 + 0.0449017i
\(521\) 3.40532 23.6845i 0.149190 1.03764i −0.768361 0.640017i \(-0.778927\pi\)
0.917550 0.397619i \(-0.130164\pi\)
\(522\) −1.23047 + 1.42004i −0.0538562 + 0.0621534i
\(523\) 4.51033 9.87626i 0.197223 0.431858i −0.785020 0.619470i \(-0.787347\pi\)
0.982243 + 0.187612i \(0.0600747\pi\)
\(524\) −18.6471 5.47528i −0.814603 0.239189i
\(525\) 0.463379 + 1.01466i 0.0202235 + 0.0442833i
\(526\) −3.22056 22.3995i −0.140423 0.976664i
\(527\) 5.68984 + 3.65664i 0.247853 + 0.159286i
\(528\) −2.20362 −0.0959001
\(529\) 16.2983 + 16.2286i 0.708621 + 0.705589i
\(530\) 3.60502 0.156592
\(531\) −5.48781 3.52680i −0.238151 0.153050i
\(532\) −0.571724 3.97643i −0.0247874 0.172400i
\(533\) −4.67135 10.2288i −0.202339 0.443060i
\(534\) −1.62588 0.477402i −0.0703588 0.0206592i
\(535\) 3.22674 7.06558i 0.139504 0.305471i
\(536\) 3.89776 4.49825i 0.168358 0.194295i
\(537\) 1.16077 8.07334i 0.0500910 0.348390i
\(538\) −4.77664 + 1.40255i −0.205936 + 0.0604682i
\(539\) −8.30590 9.58552i −0.357760 0.412878i
\(540\) 0.841254 0.540641i 0.0362018 0.0232655i
\(541\) 25.7848 16.5709i 1.10858 0.712439i 0.147594 0.989048i \(-0.452847\pi\)
0.960983 + 0.276609i \(0.0892106\pi\)
\(542\) 2.91704 + 3.36644i 0.125298 + 0.144601i
\(543\) −19.5730 + 5.74716i −0.839959 + 0.246634i
\(544\) 0.326153 2.26844i 0.0139837 0.0972588i
\(545\) 1.27765 1.47449i 0.0547285 0.0631600i
\(546\) 1.68408 3.68763i 0.0720721 0.157816i
\(547\) 39.8104 + 11.6894i 1.70217 + 0.499803i 0.981172 0.193134i \(-0.0618652\pi\)
0.720999 + 0.692936i \(0.243683\pi\)
\(548\) −1.93137 4.22912i −0.0825041 0.180659i
\(549\) 0.549535 + 3.82210i 0.0234536 + 0.163123i
\(550\) 1.85380 + 1.19136i 0.0790463 + 0.0508000i
\(551\) −6.76714 −0.288290
\(552\) −4.43274 1.83053i −0.188670 0.0779127i
\(553\) −12.5720 −0.534615
\(554\) −18.3845 11.8150i −0.781082 0.501971i
\(555\) 1.01426 + 7.05431i 0.0430528 + 0.299439i
\(556\) 0.0599951 + 0.131371i 0.00254436 + 0.00557137i
\(557\) −27.0868 7.95339i −1.14770 0.336996i −0.348060 0.937472i \(-0.613159\pi\)
−0.799643 + 0.600476i \(0.794978\pi\)
\(558\) −1.22598 + 2.68452i −0.0518999 + 0.113645i
\(559\) −12.8507 + 14.8305i −0.543527 + 0.627263i
\(560\) −0.158746 + 1.10411i −0.00670826 + 0.0466570i
\(561\) 4.84562 1.42280i 0.204582 0.0600707i
\(562\) 1.65621 + 1.91137i 0.0698632 + 0.0806264i
\(563\) 25.6963 16.5140i 1.08297 0.695982i 0.127728 0.991809i \(-0.459231\pi\)
0.955242 + 0.295827i \(0.0955951\pi\)
\(564\) 4.02478 2.58657i 0.169474 0.108914i
\(565\) −1.37089 1.58209i −0.0576737 0.0665590i
\(566\) −8.63036 + 2.53410i −0.362761 + 0.106516i
\(567\) −0.158746 + 1.10411i −0.00666672 + 0.0463681i
\(568\) −8.28423 + 9.56051i −0.347598 + 0.401150i
\(569\) −16.9169 + 37.0428i −0.709192 + 1.55291i 0.119266 + 0.992862i \(0.461946\pi\)
−0.828458 + 0.560052i \(0.810781\pi\)
\(570\) 3.45561 + 1.01466i 0.144739 + 0.0424993i
\(571\) 10.1135 + 22.1454i 0.423235 + 0.926755i 0.994376 + 0.105903i \(0.0337735\pi\)
−0.571142 + 0.820852i \(0.693499\pi\)
\(572\) −1.13976 7.92721i −0.0476558 0.331453i
\(573\) 18.1056 + 11.6358i 0.756372 + 0.486091i
\(574\) −3.45133 −0.144056
\(575\) 2.73939 + 3.93646i 0.114241 + 0.164162i
\(576\) 1.00000 0.0416667
\(577\) −33.8366 21.7454i −1.40864 0.905275i −0.408663 0.912686i \(-0.634005\pi\)
−0.999973 + 0.00741072i \(0.997641\pi\)
\(578\) −1.67188 11.6282i −0.0695412 0.483670i
\(579\) −3.13299 6.86030i −0.130203 0.285104i
\(580\) 1.80287 + 0.529370i 0.0748601 + 0.0219809i
\(581\) −7.12322 + 15.5977i −0.295521 + 0.647101i
\(582\) 0.803596 0.927399i 0.0333101 0.0384419i
\(583\) −1.13056 + 7.86322i −0.0468230 + 0.325661i
\(584\) −0.527459 + 0.154876i −0.0218264 + 0.00640881i
\(585\) 2.38000 + 2.74666i 0.0984008 + 0.113561i
\(586\) −23.0336 + 14.8028i −0.951508 + 0.611497i
\(587\) 8.71301 5.59951i 0.359625 0.231117i −0.348334 0.937370i \(-0.613253\pi\)
0.707959 + 0.706254i \(0.249616\pi\)
\(588\) 3.76921 + 4.34991i 0.155440 + 0.179387i
\(589\) −10.1983 + 2.99448i −0.420212 + 0.123385i
\(590\) −0.928373 + 6.45698i −0.0382205 + 0.265830i
\(591\) −12.6510 + 14.6001i −0.520394 + 0.600567i
\(592\) −2.96060 + 6.48281i −0.121680 + 0.266442i
\(593\) −7.36227 2.16176i −0.302332 0.0887727i 0.127048 0.991897i \(-0.459450\pi\)
−0.429380 + 0.903124i \(0.641268\pi\)
\(594\) 0.915415 + 2.00448i 0.0375599 + 0.0822448i
\(595\) −0.363811 2.53036i −0.0149148 0.103735i
\(596\) 5.87457 + 3.77535i 0.240632 + 0.154645i
\(597\) 19.7013 0.806319
\(598\) 4.29239 16.8930i 0.175529 0.690804i
\(599\) −26.5860 −1.08628 −0.543138 0.839644i \(-0.682764\pi\)
−0.543138 + 0.839644i \(0.682764\pi\)
\(600\) −0.841254 0.540641i −0.0343440 0.0220716i
\(601\) −3.32076 23.0964i −0.135457 0.942122i −0.938273 0.345896i \(-0.887575\pi\)
0.802816 0.596227i \(-0.203334\pi\)
\(602\) 2.50199 + 5.47860i 0.101974 + 0.223291i
\(603\) −5.71094 1.67688i −0.232568 0.0682880i
\(604\) 1.65935 3.63347i 0.0675180 0.147844i
\(605\) 4.02352 4.64338i 0.163579 0.188780i
\(606\) 0.857445 5.96366i 0.0348313 0.242257i
\(607\) −25.2251 + 7.40675i −1.02385 + 0.300631i −0.750209 0.661200i \(-0.770047\pi\)
−0.273644 + 0.961831i \(0.588229\pi\)
\(608\) 2.35848 + 2.72183i 0.0956488 + 0.110385i
\(609\) −1.76321 + 1.13314i −0.0714487 + 0.0459173i
\(610\) 3.24842 2.08763i 0.131525 0.0845258i
\(611\) 11.3865 + 13.1408i 0.460650 + 0.531618i
\(612\) −2.19894 + 0.645667i −0.0888868 + 0.0260995i
\(613\) −5.77043 + 40.1342i −0.233065 + 1.62101i 0.451650 + 0.892195i \(0.350835\pi\)
−0.684716 + 0.728810i \(0.740074\pi\)
\(614\) −16.4931 + 19.0341i −0.665608 + 0.768152i
\(615\) 1.28533 2.81448i 0.0518296 0.113491i
\(616\) −2.35848 0.692511i −0.0950257 0.0279021i
\(617\) −9.18949 20.1222i −0.369955 0.810088i −0.999453 0.0330859i \(-0.989467\pi\)
0.629498 0.777002i \(-0.283261\pi\)
\(618\) −0.812125 5.64846i −0.0326685 0.227214i
\(619\) −19.9301 12.8083i −0.801058 0.514809i 0.0749030 0.997191i \(-0.476135\pi\)
−0.875961 + 0.482382i \(0.839772\pi\)
\(620\) 2.95122 0.118524
\(621\) 0.176312 + 4.79259i 0.00707515 + 0.192320i
\(622\) 11.6307 0.466350
\(623\) −1.59011 1.02190i −0.0637066 0.0409417i
\(624\) 0.517223 + 3.59736i 0.0207055 + 0.144010i
\(625\) 0.415415 + 0.909632i 0.0166166 + 0.0363853i
\(626\) −19.8646 5.83278i −0.793950 0.233125i
\(627\) −3.29686 + 7.21912i −0.131664 + 0.288304i
\(628\) 6.17509 7.12643i 0.246413 0.284376i
\(629\) 2.32444 16.1669i 0.0926816 0.644615i
\(630\) 1.07028 0.314261i 0.0426408 0.0125205i
\(631\) −10.2655 11.8470i −0.408664 0.471623i 0.513687 0.857978i \(-0.328279\pi\)
−0.922350 + 0.386355i \(0.873734\pi\)
\(632\) 9.48149 6.09338i 0.377153 0.242382i
\(633\) −23.2138 + 14.9186i −0.922666 + 0.592961i
\(634\) −11.6768 13.4757i −0.463744 0.535189i
\(635\) 9.57645 2.81190i 0.380030 0.111587i
\(636\) 0.513048 3.56833i 0.0203437 0.141493i
\(637\) −13.6987 + 15.8091i −0.542761 + 0.626380i
\(638\) −1.72005 + 3.76638i −0.0680973 + 0.149112i
\(639\) 12.1379 + 3.56402i 0.480169 + 0.140990i
\(640\) −0.415415 0.909632i −0.0164207 0.0359564i
\(641\) 1.65897 + 11.5384i 0.0655253 + 0.455738i 0.995998 + 0.0893769i \(0.0284876\pi\)
−0.930473 + 0.366362i \(0.880603\pi\)
\(642\) −6.53445 4.19943i −0.257894 0.165738i
\(643\) −5.94860 −0.234590 −0.117295 0.993097i \(-0.537422\pi\)
−0.117295 + 0.993097i \(0.537422\pi\)
\(644\) −4.16898 3.35221i −0.164281 0.132096i
\(645\) −5.39946 −0.212604
\(646\) −6.94354 4.46234i −0.273190 0.175568i
\(647\) −1.02529 7.13107i −0.0403085 0.280351i 0.959691 0.281056i \(-0.0906848\pi\)
−1.00000 0.000704783i \(0.999776\pi\)
\(648\) −0.415415 0.909632i −0.0163190 0.0357337i
\(649\) −13.7927 4.04991i −0.541412 0.158973i
\(650\) 1.50977 3.30593i 0.0592179 0.129669i
\(651\) −2.15578 + 2.48790i −0.0844917 + 0.0975086i
\(652\) 0.704452 4.89957i 0.0275885 0.191882i
\(653\) −13.3300 + 3.91404i −0.521642 + 0.153168i −0.531945 0.846779i \(-0.678539\pi\)
0.0103026 + 0.999947i \(0.496721\pi\)
\(654\) −1.27765 1.47449i −0.0499600 0.0576570i
\(655\) 16.3492 10.5070i 0.638816 0.410542i
\(656\) 2.60291 1.67279i 0.101627 0.0653115i
\(657\) 0.359995 + 0.415456i 0.0140447 + 0.0162085i
\(658\) 5.12048 1.50351i 0.199617 0.0586129i
\(659\) −5.62377 + 39.1142i −0.219071 + 1.52367i 0.522408 + 0.852696i \(0.325034\pi\)
−0.741479 + 0.670976i \(0.765875\pi\)
\(660\) 1.44306 1.66538i 0.0561711 0.0648249i
\(661\) −2.15353 + 4.71556i −0.0837625 + 0.183414i −0.946879 0.321591i \(-0.895782\pi\)
0.863116 + 0.505006i \(0.168510\pi\)
\(662\) −28.2850 8.30522i −1.09933 0.322792i
\(663\) −3.46004 7.57643i −0.134377 0.294244i
\(664\) −2.18771 15.2159i −0.0848998 0.590491i
\(665\) 3.37958 + 2.17193i 0.131055 + 0.0842237i
\(666\) 7.12685 0.276160
\(667\) −6.58872 + 6.14751i −0.255116 + 0.238033i
\(668\) −6.83482 −0.264447
\(669\) 4.38005 + 2.81489i 0.169343 + 0.108830i
\(670\) 0.847064 + 5.89146i 0.0327249 + 0.227607i
\(671\) 3.53479 + 7.74011i 0.136459 + 0.298803i
\(672\) 1.07028 + 0.314261i 0.0412868 + 0.0121229i
\(673\) −12.0403 + 26.3645i −0.464118 + 1.01628i 0.522412 + 0.852693i \(0.325032\pi\)
−0.986530 + 0.163583i \(0.947695\pi\)
\(674\) 3.42492 3.95257i 0.131923 0.152247i
\(675\) −0.142315 + 0.989821i −0.00547770 + 0.0380982i
\(676\) −0.200098 + 0.0587541i −0.00769607 + 0.00225977i
\(677\) −4.64089 5.35587i −0.178364 0.205843i 0.659527 0.751681i \(-0.270757\pi\)
−0.837891 + 0.545838i \(0.816211\pi\)
\(678\) −1.76108 + 1.13178i −0.0676340 + 0.0434657i
\(679\) 1.15151 0.740034i 0.0441911 0.0283999i
\(680\) 1.50079 + 1.73201i 0.0575527 + 0.0664194i
\(681\) 10.7946 3.16957i 0.413648 0.121458i
\(682\) −0.925524 + 6.43716i −0.0354401 + 0.246492i
\(683\) 8.01814 9.25343i 0.306806 0.354073i −0.581319 0.813676i \(-0.697463\pi\)
0.888124 + 0.459603i \(0.152008\pi\)
\(684\) 1.49611 3.27603i 0.0572054 0.125262i
\(685\) 4.46093 + 1.30985i 0.170443 + 0.0500467i
\(686\) 5.91074 + 12.9427i 0.225673 + 0.494155i
\(687\) −2.42915 16.8951i −0.0926778 0.644588i
\(688\) −4.54231 2.91917i −0.173174 0.111292i
\(689\) 13.1019 0.499144
\(690\) 4.28625 2.15129i 0.163175 0.0818983i
\(691\) 23.0262 0.875957 0.437978 0.898985i \(-0.355695\pi\)
0.437978 + 0.898985i \(0.355695\pi\)
\(692\) −18.8592 12.1200i −0.716918 0.460735i
\(693\) 0.349816 + 2.43303i 0.0132884 + 0.0924230i
\(694\) 3.53362 + 7.73755i 0.134134 + 0.293713i
\(695\) −0.138572 0.0406884i −0.00525633 0.00154340i
\(696\) 0.780557 1.70918i 0.0295869 0.0647863i
\(697\) −4.64358 + 5.35898i −0.175888 + 0.202986i
\(698\) −4.43246 + 30.8284i −0.167771 + 1.16687i
\(699\) −16.1623 + 4.74569i −0.611315 + 0.179498i
\(700\) −0.730471 0.843008i −0.0276092 0.0318627i
\(701\) −16.7830 + 10.7858i −0.633884 + 0.407372i −0.817746 0.575580i \(-0.804776\pi\)
0.183862 + 0.982952i \(0.441140\pi\)
\(702\) 3.05742 1.96488i 0.115395 0.0741597i
\(703\) 16.8085 + 19.3980i 0.633945 + 0.731611i
\(704\) 2.11435 0.620830i 0.0796877 0.0233984i
\(705\) −0.680871 + 4.73556i −0.0256431 + 0.178352i
\(706\) 10.7328 12.3863i 0.403934 0.466164i
\(707\) 2.79185 6.11330i 0.104998 0.229914i
\(708\) 6.25913 + 1.83785i 0.235233 + 0.0690705i
\(709\) 5.20329 + 11.3936i 0.195414 + 0.427897i 0.981820 0.189813i \(-0.0607881\pi\)
−0.786406 + 0.617709i \(0.788061\pi\)
\(710\) −1.80033 12.5216i −0.0675653 0.469927i
\(711\) −9.48149 6.09338i −0.355584 0.228520i
\(712\) 1.69452 0.0635049
\(713\) −7.20908 + 12.1800i −0.269982 + 0.456144i
\(714\) −2.55638 −0.0956701
\(715\) 6.73737 + 4.32984i 0.251963 + 0.161927i
\(716\) 1.16077 + 8.07334i 0.0433801 + 0.301715i
\(717\) −0.500315 1.09554i −0.0186846 0.0409136i
\(718\) −9.25262 2.71682i −0.345305 0.101391i
\(719\) 14.7013 32.1913i 0.548266 1.20053i −0.409321 0.912390i \(-0.634235\pi\)
0.957587 0.288144i \(-0.0930382\pi\)
\(720\) −0.654861 + 0.755750i −0.0244052 + 0.0281651i
\(721\) 0.905893 6.30062i 0.0337372 0.234648i
\(722\) −5.78502 + 1.69864i −0.215296 + 0.0632167i
\(723\) −4.04763 4.67121i −0.150533 0.173724i
\(724\) 17.1610 11.0287i 0.637785 0.409879i
\(725\) −1.58070 + 1.01585i −0.0587057 + 0.0377279i
\(726\) −4.02352 4.64338i −0.149327 0.172332i
\(727\) −8.31369 + 2.44112i −0.308338 + 0.0905361i −0.432241 0.901758i \(-0.642277\pi\)
0.123903 + 0.992294i \(0.460459\pi\)
\(728\) −0.576941 + 4.01271i −0.0213829 + 0.148721i
\(729\) −0.654861 + 0.755750i −0.0242541 + 0.0279907i
\(730\) 0.228365 0.500049i 0.00845216 0.0185077i
\(731\) 11.8731 + 3.48625i 0.439142 + 0.128944i
\(732\) −1.60409 3.51246i −0.0592887 0.129824i
\(733\) 2.73714 + 19.0372i 0.101098 + 0.703155i 0.975827 + 0.218543i \(0.0701303\pi\)
−0.874729 + 0.484612i \(0.838961\pi\)
\(734\) 16.9752 + 10.9093i 0.626566 + 0.402670i
\(735\) −5.75575 −0.212304
\(736\) 4.76890 + 0.507539i 0.175784 + 0.0187081i
\(737\) −13.1160 −0.483135
\(738\) −2.60291 1.67279i −0.0958146 0.0615763i
\(739\) −0.605195 4.20922i −0.0222625 0.154839i 0.975658 0.219298i \(-0.0703768\pi\)
−0.997920 + 0.0644595i \(0.979468\pi\)
\(740\) −2.96060 6.48281i −0.108834 0.238313i
\(741\) 12.5589 + 3.68763i 0.461363 + 0.135468i
\(742\) 1.67049 3.65786i 0.0613256 0.134284i
\(743\) 22.1369 25.5473i 0.812122 0.937239i −0.186858 0.982387i \(-0.559830\pi\)
0.998980 + 0.0451479i \(0.0143759\pi\)
\(744\) 0.420002 2.92118i 0.0153980 0.107096i
\(745\) −6.70024 + 1.96737i −0.245478 + 0.0720788i
\(746\) 3.33082 + 3.84397i 0.121950 + 0.140738i
\(747\) −12.9320 + 8.31092i −0.473159 + 0.304081i
\(748\) −4.24848 + 2.73034i −0.155340 + 0.0998309i
\(749\) −5.67394 6.54808i −0.207321 0.239261i
\(750\) 0.959493 0.281733i 0.0350357 0.0102874i
\(751\) −3.54098 + 24.6280i −0.129212 + 0.898690i 0.817344 + 0.576150i \(0.195446\pi\)
−0.946556 + 0.322540i \(0.895463\pi\)
\(752\) −3.13303 + 3.61570i −0.114250 + 0.131851i
\(753\) 7.45993 16.3350i 0.271855 0.595279i
\(754\) 6.55227 + 1.92392i 0.238620 + 0.0700650i
\(755\) 1.65935 + 3.63347i 0.0603900 + 0.132236i
\(756\) −0.158746 1.10411i −0.00577355 0.0401559i
\(757\) −16.0372 10.3065i −0.582880 0.374594i 0.215721 0.976455i \(-0.430790\pi\)
−0.798601 + 0.601861i \(0.794426\pi\)
\(758\) −12.0413 −0.437359
\(759\) 3.34817 + 10.0238i 0.121531 + 0.363840i
\(760\) −3.60149 −0.130640
\(761\) −15.4622 9.93694i −0.560504 0.360214i 0.229507 0.973307i \(-0.426289\pi\)
−0.790011 + 0.613093i \(0.789925\pi\)
\(762\) −1.42041 9.87915i −0.0514559 0.357884i
\(763\) −0.904063 1.97962i −0.0327293 0.0716671i
\(764\) −20.6504 6.06349i −0.747103 0.219369i
\(765\) 0.952036 2.08467i 0.0344209 0.0753714i
\(766\) 2.05236 2.36855i 0.0741549 0.0855793i
\(767\) −3.37404 + 23.4670i −0.121829 + 0.847343i
\(768\) −0.959493 + 0.281733i −0.0346227 + 0.0101661i
\(769\) −1.84988 2.13488i −0.0667085 0.0769857i 0.721414 0.692504i \(-0.243492\pi\)
−0.788123 + 0.615518i \(0.788947\pi\)
\(770\) 2.06784 1.32892i 0.0745197 0.0478909i
\(771\) 1.36640 0.878131i 0.0492096 0.0316251i
\(772\) 4.93885 + 5.69974i 0.177753 + 0.205138i
\(773\) 37.5693 11.0313i 1.35127 0.396769i 0.475594 0.879665i \(-0.342233\pi\)
0.875678 + 0.482895i \(0.160415\pi\)
\(774\) −0.768423 + 5.34450i −0.0276204 + 0.192104i
\(775\) −1.93264 + 2.23038i −0.0694224 + 0.0801177i
\(776\) −0.509766 + 1.11623i −0.0182995 + 0.0400704i
\(777\) 7.62769 + 2.23969i 0.273642 + 0.0803485i
\(778\) −3.07266 6.72820i −0.110160 0.241218i
\(779\) −1.58586 11.0299i −0.0568194 0.395188i
\(780\) −3.05742 1.96488i −0.109473 0.0703540i
\(781\) 27.8765 0.997501
\(782\) −10.8142 + 1.96307i −0.386716 + 0.0701993i
\(783\) −1.87898 −0.0671493
\(784\) −4.84204 3.11179i −0.172930 0.111135i
\(785\) 1.34197 + 9.33364i 0.0478971 + 0.333132i
\(786\) −8.07331 17.6781i −0.287966 0.630557i
\(787\) 8.05645 + 2.36559i 0.287182 + 0.0843241i 0.422151 0.906526i \(-0.361275\pi\)
−0.134969 + 0.990850i \(0.543094\pi\)
\(788\) 8.02527 17.5729i 0.285888 0.626008i
\(789\) 14.8194 17.1025i 0.527584 0.608864i
\(790\) −1.60398 + 11.1559i −0.0570672 + 0.396911i
\(791\) −2.24052 + 0.657876i −0.0796637 + 0.0233914i
\(792\) −1.44306 1.66538i −0.0512770 0.0591768i
\(793\) 11.8059 7.58720i 0.419240 0.269429i
\(794\) −4.66511 + 2.99808i −0.165558 + 0.106398i
\(795\) 2.36079 + 2.72449i 0.0837284 + 0.0966278i
\(796\) −18.9032 + 5.55049i −0.670007 + 0.196732i
\(797\) 3.77924 26.2852i 0.133867 0.931069i −0.806579 0.591126i \(-0.798683\pi\)
0.940446 0.339942i \(-0.110407\pi\)
\(798\) 2.63079 3.03609i 0.0931288 0.107476i
\(799\) 4.55479 9.97360i 0.161137 0.352841i
\(800\) 0.959493 + 0.281733i 0.0339232 + 0.00996075i
\(801\) −0.703930 1.54139i −0.0248722 0.0544624i
\(802\) −5.27320 36.6759i −0.186203 1.29507i
\(803\) 1.01908 + 0.654925i 0.0359627 + 0.0231118i
\(804\) 5.95204 0.209912
\(805\) 5.26354 0.955474i 0.185515 0.0336760i
\(806\) 10.7258 0.377800
\(807\) −4.18801 2.69147i −0.147425 0.0947443i
\(808\) 0.857445 + 5.96366i 0.0301648 + 0.209801i
\(809\) −9.22858 20.2078i −0.324460 0.710468i 0.675170 0.737662i \(-0.264070\pi\)
−0.999630 + 0.0271941i \(0.991343\pi\)
\(810\) 0.959493 + 0.281733i 0.0337131 + 0.00989907i
\(811\) −5.80116 + 12.7028i −0.203706 + 0.446055i −0.983720 0.179708i \(-0.942485\pi\)
0.780014 + 0.625762i \(0.215212\pi\)
\(812\) 1.37254 1.58400i 0.0481667 0.0555874i
\(813\) −0.633933 + 4.40910i −0.0222330 + 0.154634i
\(814\) 15.0687 4.42456i 0.528157 0.155081i
\(815\) 3.24153 + 3.74093i 0.113546 + 0.131039i
\(816\) 1.92796 1.23903i 0.0674921 0.0433746i
\(817\) −16.3591 + 10.5134i −0.572333 + 0.367816i
\(818\) −14.6801 16.9418i −0.513279 0.592355i
\(819\) 3.88976 1.14214i 0.135919 0.0399095i
\(820\) −0.440335 + 3.06260i −0.0153772 + 0.106950i
\(821\) −29.2235 + 33.7257i −1.01991 + 1.17704i −0.0358186 + 0.999358i \(0.511404\pi\)
−0.984089 + 0.177678i \(0.943142\pi\)
\(822\) 1.93137 4.22912i 0.0673644 0.147507i
\(823\) 38.8961 + 11.4209i 1.35583 + 0.398109i 0.877292 0.479956i \(-0.159347\pi\)
0.478541 + 0.878065i \(0.341166\pi\)
\(824\) 2.37058 + 5.19085i 0.0825831 + 0.180832i
\(825\) 0.313607 + 2.18119i 0.0109184 + 0.0759391i
\(826\) 6.12143 + 3.93401i 0.212992 + 0.136882i
\(827\) 5.40012 0.187781 0.0938903 0.995583i \(-0.470070\pi\)
0.0938903 + 0.995583i \(0.470070\pi\)
\(828\) −1.51940 4.54878i −0.0528027 0.158081i
\(829\) −6.06855 −0.210770 −0.105385 0.994432i \(-0.533607\pi\)
−0.105385 + 0.994432i \(0.533607\pi\)
\(830\) 12.9320 + 8.31092i 0.448878 + 0.288476i
\(831\) −3.11010 21.6312i −0.107888 0.750379i
\(832\) −1.50977 3.30593i −0.0523417 0.114612i
\(833\) 12.6565 + 3.71630i 0.438523 + 0.128762i
\(834\) −0.0599951 + 0.131371i −0.00207746 + 0.00454900i
\(835\) 4.47585 5.16541i 0.154893 0.178756i
\(836\) 1.12945 7.85553i 0.0390630 0.271689i
\(837\) −2.83167 + 0.831455i −0.0978770 + 0.0287393i
\(838\) 4.47880 + 5.16881i 0.154718 + 0.178554i
\(839\) 41.4058 26.6099i 1.42949 0.918677i 0.429611 0.903014i \(-0.358651\pi\)
0.999877 0.0156626i \(-0.00498578\pi\)
\(840\) −0.938384 + 0.603063i −0.0323773 + 0.0208077i
\(841\) 16.6789 + 19.2485i 0.575136 + 0.663742i
\(842\) −23.7153 + 6.96344i −0.817283 + 0.239976i
\(843\) −0.359930 + 2.50337i −0.0123966 + 0.0862205i
\(844\) 18.0704 20.8544i 0.622010 0.717837i
\(845\) 0.0866329 0.189700i 0.00298026 0.00652587i
\(846\) 4.59047 + 1.34788i 0.157823 + 0.0463411i
\(847\) −2.84704 6.23414i −0.0978253 0.214207i
\(848\) 0.513048 + 3.56833i 0.0176181 + 0.122537i
\(849\) −7.56683 4.86291i −0.259693 0.166895i
\(850\) −2.29177 −0.0786071
\(851\) 33.9872 + 3.61716i 1.16507 + 0.123994i
\(852\) −12.6504 −0.433394
\(853\) −22.8586 14.6904i −0.782665 0.502988i 0.0872520 0.996186i \(-0.472191\pi\)
−0.869917 + 0.493198i \(0.835828\pi\)
\(854\) −0.612984 4.26340i −0.0209759 0.145891i
\(855\) 1.49611 + 3.27603i 0.0511660 + 0.112038i
\(856\) 7.45287 + 2.18836i 0.254734 + 0.0747966i
\(857\) −2.73855 + 5.99658i −0.0935470 + 0.204839i −0.950621 0.310354i \(-0.899553\pi\)
0.857074 + 0.515193i \(0.172280\pi\)
\(858\) 5.24460 6.05259i 0.179048 0.206632i
\(859\) −2.03138 + 14.1286i −0.0693099 + 0.482061i 0.925372 + 0.379061i \(0.123753\pi\)
−0.994681 + 0.102999i \(0.967156\pi\)
\(860\) 5.18074 1.52120i 0.176662 0.0518726i
\(861\) −2.26014 2.60834i −0.0770254 0.0888921i
\(862\) 14.5382 9.34315i 0.495174 0.318229i
\(863\) 1.33324 0.856822i 0.0453840 0.0291666i −0.517752 0.855531i \(-0.673231\pi\)
0.563136 + 0.826364i \(0.309595\pi\)
\(864\) 0.654861 + 0.755750i 0.0222788 + 0.0257111i
\(865\) 21.5098 6.31586i 0.731357 0.214746i
\(866\) −1.00281 + 6.97472i −0.0340770 + 0.237011i
\(867\) 7.69316 8.87838i 0.261273 0.301526i
\(868\) 1.36753 2.99448i 0.0464171 0.101639i
\(869\) −23.8302 6.99717i −0.808384 0.237363i
\(870\) 0.780557 + 1.70918i 0.0264634 + 0.0579467i
\(871\) 3.07853 + 21.4117i 0.104312 + 0.725507i
\(872\) 1.64131 + 1.05480i 0.0555816 + 0.0357202i
\(873\) 1.22713 0.0415319
\(874\) 8.79753 14.8637i 0.297581 0.502773i
\(875\) 1.11546 0.0377094
\(876\) −0.462460 0.297205i −0.0156251 0.0100416i
\(877\) 8.16915 + 56.8177i 0.275853 + 1.91860i 0.381839 + 0.924229i \(0.375291\pi\)
−0.105986 + 0.994368i \(0.533800\pi\)
\(878\) 9.69978 + 21.2396i 0.327352 + 0.716800i
\(879\) −26.2710 7.71386i −0.886098 0.260182i
\(880\) −0.915415 + 2.00448i −0.0308586 + 0.0675710i
\(881\) 4.09019 4.72033i 0.137802 0.159032i −0.682654 0.730742i \(-0.739174\pi\)
0.820456 + 0.571710i \(0.193720\pi\)
\(882\) −0.819129 + 5.69716i −0.0275815 + 0.191834i
\(883\) 39.2285 11.5185i 1.32015 0.387630i 0.455600 0.890184i \(-0.349425\pi\)
0.864545 + 0.502555i \(0.167606\pi\)
\(884\) 5.45441 + 6.29472i 0.183452 + 0.211714i
\(885\) −5.48781 + 3.52680i −0.184471 + 0.118552i
\(886\) −7.93263 + 5.09799i −0.266502 + 0.171270i
\(887\) −9.64595 11.1320i −0.323879 0.373777i 0.570338 0.821410i \(-0.306812\pi\)
−0.894217 + 0.447634i \(0.852267\pi\)
\(888\) −6.83816 + 2.00786i −0.229474 + 0.0673795i
\(889\) 1.58441 11.0198i 0.0531393 0.369592i
\(890\) −1.10968 + 1.28064i −0.0371965 + 0.0429270i
\(891\) −0.915415 + 2.00448i −0.0306676 + 0.0671526i
\(892\) −4.99567 1.46686i −0.167268 0.0491142i
\(893\) 7.15780 + 15.6734i 0.239527 + 0.524490i
\(894\) 0.993800 + 6.91203i 0.0332376 + 0.231173i
\(895\) −6.86157 4.40966i −0.229357 0.147399i
\(896\) −1.11546 −0.0372649
\(897\) 15.5778 7.81856i 0.520126 0.261054i
\(898\) 24.3919 0.813968
\(899\) −4.66499 2.99801i −0.155586 0.0999891i
\(900\) −0.142315 0.989821i −0.00474383 0.0329940i
\(901\) −3.43211 7.51527i −0.114340 0.250370i
\(902\) −6.54200 1.92090i −0.217825 0.0639591i
\(903\) −2.50199 + 5.47860i −0.0832612 + 0.182317i
\(904\) 1.37089 1.58209i 0.0455951 0.0526195i
\(905\) −2.90313 + 20.1917i −0.0965033 + 0.671195i
\(906\) 3.83264 1.12536i 0.127331 0.0373877i
\(907\) −31.1317 35.9279i −1.03371 1.19297i −0.980930 0.194361i \(-0.937737\pi\)
−0.0527821 0.998606i \(-0.516809\pi\)
\(908\) −9.46433 + 6.08236i −0.314085 + 0.201850i
\(909\) 5.06854 3.25735i 0.168113 0.108040i
\(910\) −2.65479 3.06379i −0.0880055 0.101564i
\(911\) 28.7152 8.43153i 0.951375 0.279349i 0.231016 0.972950i \(-0.425795\pi\)
0.720359 + 0.693601i \(0.243977\pi\)
\(912\) −0.512546 + 3.56484i −0.0169721 + 0.118043i
\(913\) −22.1832 + 25.6008i −0.734158 + 0.847264i
\(914\) −14.8578 + 32.5341i −0.491453 + 1.07613i
\(915\) 3.70499 + 1.08788i 0.122483 + 0.0359643i
\(916\) 7.09065 + 15.5264i 0.234282 + 0.513005i
\(917\) −3.08513 21.4576i −0.101880 0.708591i
\(918\) −1.92796 1.23903i −0.0636322 0.0408939i
\(919\) −22.4503 −0.740566 −0.370283 0.928919i \(-0.620739\pi\)
−0.370283 + 0.928919i \(0.620739\pi\)
\(920\) −3.50654 + 3.27173i −0.115607 + 0.107866i
\(921\) −25.1857 −0.829896
\(922\) 3.54435 + 2.27782i 0.116727 + 0.0750160i
\(923\) −6.54306 45.5080i −0.215367 1.49791i
\(924\) −1.02111 2.23592i −0.0335920 0.0735562i
\(925\) 6.83816 + 2.00786i 0.224837 + 0.0660182i
\(926\) 1.98897 4.35523i 0.0653615 0.143122i
\(927\) 3.73699 4.31271i 0.122739 0.141648i
\(928\) −0.267407 + 1.85986i −0.00877806 + 0.0610527i
\(929\) 42.2658 12.4104i 1.38670 0.407170i 0.498601 0.866832i \(-0.333847\pi\)
0.888094 + 0.459661i \(0.152029\pi\)
\(930\) 1.93264 + 2.23038i 0.0633737 + 0.0731371i
\(931\) −17.4386 + 11.2071i −0.571527 + 0.367298i
\(932\) 14.1706 9.10690i 0.464174 0.298307i
\(933\) 7.61652 + 8.78993i 0.249354 + 0.287769i
\(934\) −20.3205 + 5.96664i −0.664908 + 0.195234i
\(935\) 0.718716 4.99878i 0.0235045 0.163478i
\(936\) −2.38000 + 2.74666i −0.0777926 + 0.0897775i
\(937\) 3.43955 7.53157i 0.112365 0.246046i −0.845092 0.534621i \(-0.820454\pi\)
0.957457 + 0.288576i \(0.0931816\pi\)
\(938\) 6.37033 + 1.87050i 0.207999 + 0.0610739i
\(939\) −8.60044 18.8323i −0.280665 0.614570i
\(940\) −0.680871 4.73556i −0.0222076 0.154457i
\(941\) 38.4243 + 24.6938i 1.25260 + 0.804995i 0.987253 0.159159i \(-0.0508781\pi\)
0.265344 + 0.964154i \(0.414514\pi\)
\(942\) 9.42962 0.307234
\(943\) −11.5640 9.29845i −0.376577 0.302799i
\(944\) −6.52338 −0.212318
\(945\) 0.938384 + 0.603063i 0.0305256 + 0.0196176i
\(946\) 1.69331 + 11.7772i 0.0550542 + 0.382911i
\(947\) 24.0018 + 52.5565i 0.779952 + 1.70786i 0.703402 + 0.710792i \(0.251663\pi\)
0.0765500 + 0.997066i \(0.475610\pi\)
\(948\) 10.8141 + 3.17531i 0.351227 + 0.103129i
\(949\) 0.829959 1.81736i 0.0269416 0.0589939i
\(950\) 2.35848 2.72183i 0.0765191 0.0883077i
\(951\) 2.53760 17.6494i 0.0822875 0.572322i
\(952\) 2.45283 0.720215i 0.0794966 0.0233423i
\(953\) 19.2554 + 22.2219i 0.623743 + 0.719837i 0.976413 0.215910i \(-0.0692718\pi\)
−0.352671 + 0.935748i \(0.614726\pi\)
\(954\) 3.03274 1.94902i 0.0981884 0.0631019i
\(955\) 18.1056 11.6358i 0.585883 0.376524i
\(956\) 0.788697 + 0.910205i 0.0255083 + 0.0294381i
\(957\) −3.97283 + 1.16653i −0.128423 + 0.0377085i
\(958\) 1.43616 9.98869i 0.0464001 0.322720i
\(959\) 3.39615 3.91936i 0.109667 0.126563i
\(960\) 0.415415 0.909632i 0.0134075 0.0293582i
\(961\) 21.3874 + 6.27990i 0.689916 + 0.202578i
\(962\) −10.7599 23.5608i −0.346912 0.759632i
\(963\) −1.10543 7.68845i −0.0356220 0.247757i
\(964\) 5.19970 + 3.34165i 0.167471 + 0.107627i
\(965\) −7.54184 −0.242780
\(966\) −0.196669 5.34594i −0.00632771 0.172003i
\(967\) −7.46878 −0.240180 −0.120090 0.992763i \(-0.538318\pi\)
−0.120090 + 0.992763i \(0.538318\pi\)
\(968\) 5.16873 + 3.32174i 0.166129 + 0.106765i
\(969\) −1.17464 8.16979i −0.0377348 0.262451i
\(970\) −0.509766 1.11623i −0.0163676 0.0358401i
\(971\) 12.9017 + 3.78829i 0.414037 + 0.121572i 0.482115 0.876108i \(-0.339869\pi\)
−0.0680786 + 0.997680i \(0.521687\pi\)
\(972\) 0.415415 0.909632i 0.0133244 0.0291765i
\(973\) −0.105496 + 0.121749i −0.00338205 + 0.00390309i
\(974\) −5.57526 + 38.7768i −0.178643 + 1.24249i
\(975\) 3.48714 1.02392i 0.111678 0.0327916i
\(976\) 2.52868 + 2.91826i 0.0809412 + 0.0934111i
\(977\) 3.51785 2.26079i 0.112546 0.0723290i −0.483157 0.875534i \(-0.660510\pi\)
0.595703 + 0.803205i \(0.296874\pi\)
\(978\) 4.16417 2.67615i 0.133155 0.0855738i
\(979\) −2.44530 2.82203i −0.0781522 0.0901924i
\(980\) 5.52260 1.62158i 0.176413 0.0517995i
\(981\) 0.277660 1.93117i 0.00886499 0.0616574i
\(982\) 8.69588 10.0356i 0.277497 0.320248i
\(983\) 19.7982 43.3520i 0.631464 1.38271i −0.275416 0.961325i \(-0.588816\pi\)
0.906880 0.421388i \(-0.138457\pi\)
\(984\) 2.96876 + 0.871706i 0.0946405 + 0.0277890i
\(985\) 8.02527 + 17.5729i 0.255706 + 0.559919i
\(986\) −0.612835 4.26236i −0.0195167 0.135741i
\(987\) 4.48948 + 2.88521i 0.142902 + 0.0918373i
\(988\) −13.0891 −0.416420
\(989\) −6.37708 + 25.0974i −0.202779 + 0.798050i
\(990\) 2.20362 0.0700355
\(991\) −25.2861 16.2504i −0.803238 0.516210i 0.0734330 0.997300i \(-0.476604\pi\)
−0.876671 + 0.481090i \(0.840241\pi\)
\(992\) 0.420002 + 2.92118i 0.0133351 + 0.0927476i
\(993\) −12.2461 26.8151i −0.388617 0.850952i
\(994\) −13.5394 3.97552i −0.429443 0.126096i
\(995\) 8.18420 17.9209i 0.259457 0.568131i
\(996\) 10.0667 11.6176i 0.318977 0.368119i
\(997\) −5.56416 + 38.6996i −0.176219 + 1.22563i 0.689197 + 0.724574i \(0.257963\pi\)
−0.865416 + 0.501054i \(0.832946\pi\)
\(998\) 17.9973 5.28449i 0.569695 0.167278i
\(999\) 4.66709 + 5.38611i 0.147660 + 0.170409i
Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))

Twists

       By twisting character
Char Parity Ord Type Twist Min Dim
1.1 even 1 trivial 690.2.m.b.301.1 10
23.12 even 11 inner 690.2.m.b.541.1 yes 10
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
690.2.m.b.301.1 10 1.1 even 1 trivial
690.2.m.b.541.1 yes 10 23.12 even 11 inner