Properties

Label 230.2.g.b.41.2
Level $230$
Weight $2$
Character 230.41
Analytic conductor $1.837$
Analytic rank $0$
Dimension $20$
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] = [230,2,Mod(31,230)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(230, base_ring=CyclotomicField(22))
 
chi = DirichletCharacter(H, H._module([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("230.31");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 230 = 2 \cdot 5 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 230.g (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: \(1.83655924649\)
Analytic rank: \(0\)
Dimension: \(20\)
Relative dimension: \(2\) over \(\Q(\zeta_{11})\)
Coefficient field: \(\mathbb{Q}[x]/(x^{20} - \cdots)\)
comment: defining polynomial
 
gp: f.mod \\ as an extension of the character field
 
Defining polynomial: \( x^{20} - 5 x^{19} + 12 x^{18} + 16 x^{17} - 49 x^{16} + 59 x^{15} - 197 x^{14} + 42 x^{13} + 1625 x^{12} - 5910 x^{11} + 14651 x^{10} - 22501 x^{9} + 26003 x^{8} - 19607 x^{7} + \cdots + 529 \) Copy content Toggle raw display
Coefficient ring: \(\Z[a_1, a_2, a_3]\)
Coefficient ring index: \( 1 \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{11}]$

Embedding invariants

Embedding label 41.2
Root \(-0.271308 - 0.313106i\) of defining polynomial
Character \(\chi\) \(=\) 230.41
Dual form 230.2.g.b.101.2

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(0.959493 + 0.281733i) q^{2} +(1.48208 - 1.71041i) q^{3} +(0.841254 + 0.540641i) q^{4} +(-0.142315 + 0.989821i) q^{5} +(1.90392 - 1.22358i) q^{6} +(-0.119262 - 0.261148i) q^{7} +(0.654861 + 0.755750i) q^{8} +(-0.302001 - 2.10046i) q^{9} +O(q^{10})\) \(q+(0.959493 + 0.281733i) q^{2} +(1.48208 - 1.71041i) q^{3} +(0.841254 + 0.540641i) q^{4} +(-0.142315 + 0.989821i) q^{5} +(1.90392 - 1.22358i) q^{6} +(-0.119262 - 0.261148i) q^{7} +(0.654861 + 0.755750i) q^{8} +(-0.302001 - 2.10046i) q^{9} +(-0.415415 + 0.909632i) q^{10} +(-1.41662 + 0.415958i) q^{11} +(2.17152 - 0.637616i) q^{12} +(0.722713 - 1.58252i) q^{13} +(-0.0408574 - 0.284169i) q^{14} +(1.48208 + 1.71041i) q^{15} +(0.415415 + 0.909632i) q^{16} +(-4.20116 + 2.69992i) q^{17} +(0.302001 - 2.10046i) q^{18} +(-4.28535 - 2.75403i) q^{19} +(-0.654861 + 0.755750i) q^{20} +(-0.623426 - 0.183054i) q^{21} -1.47643 q^{22} +(3.72954 - 3.01505i) q^{23} +2.26320 q^{24} +(-0.959493 - 0.281733i) q^{25} +(1.13929 - 1.31481i) q^{26} +(1.67152 + 1.07422i) q^{27} +(0.0408574 - 0.284169i) q^{28} +(-4.22251 + 2.71364i) q^{29} +(0.940166 + 2.05868i) q^{30} +(-0.0279203 - 0.0322218i) q^{31} +(0.142315 + 0.989821i) q^{32} +(-1.38809 + 3.03949i) q^{33} +(-4.79164 + 1.40695i) q^{34} +(0.275462 - 0.0808831i) q^{35} +(0.881537 - 1.93030i) q^{36} +(0.623559 + 4.33695i) q^{37} +(-3.33586 - 3.84979i) q^{38} +(-1.63564 - 3.58156i) q^{39} +(-0.841254 + 0.540641i) q^{40} +(-1.14712 + 7.97839i) q^{41} +(-0.546600 - 0.351279i) q^{42} +(-2.56716 + 2.96267i) q^{43} +(-1.41662 - 0.415958i) q^{44} +2.12206 q^{45} +(4.42790 - 1.84219i) q^{46} +4.95602 q^{47} +(2.17152 + 0.637616i) q^{48} +(4.53005 - 5.22796i) q^{49} +(-0.841254 - 0.540641i) q^{50} +(-1.60848 + 11.1872i) q^{51} +(1.46356 - 0.940573i) q^{52} +(-0.805745 - 1.76434i) q^{53} +(1.30117 + 1.50163i) q^{54} +(-0.210118 - 1.46140i) q^{55} +(0.119262 - 0.261148i) q^{56} +(-11.0617 + 3.24802i) q^{57} +(-4.81599 + 1.41410i) q^{58} +(2.26564 - 4.96106i) q^{59} +(0.322087 + 2.24016i) q^{60} +(-6.42398 - 7.41367i) q^{61} +(-0.0177114 - 0.0387827i) q^{62} +(-0.512514 + 0.329373i) q^{63} +(-0.142315 + 0.989821i) q^{64} +(1.46356 + 0.940573i) q^{65} +(-2.18819 + 2.52530i) q^{66} +(6.47971 + 1.90261i) q^{67} -4.99392 q^{68} +(0.370493 - 10.8476i) q^{69} +0.287092 q^{70} +(-3.42144 - 1.00463i) q^{71} +(1.38966 - 1.60375i) q^{72} +(-9.83188 - 6.31857i) q^{73} +(-0.623559 + 4.33695i) q^{74} +(-1.90392 + 1.22358i) q^{75} +(-2.11613 - 4.63367i) q^{76} +(0.277576 + 0.320340i) q^{77} +(-0.560346 - 3.89729i) q^{78} +(5.63907 - 12.3479i) q^{79} +(-0.959493 + 0.281733i) q^{80} +(10.4230 - 3.06047i) q^{81} +(-3.34842 + 7.33203i) q^{82} +(1.38883 + 9.65952i) q^{83} +(-0.425493 - 0.491045i) q^{84} +(-2.07455 - 4.54263i) q^{85} +(-3.29786 + 2.11940i) q^{86} +(-1.61665 + 11.2441i) q^{87} +(-1.24205 - 0.798218i) q^{88} +(2.15953 - 2.49223i) q^{89} +(2.03611 + 0.597855i) q^{90} -0.499464 q^{91} +(4.76755 - 0.520083i) q^{92} -0.0964927 q^{93} +(4.75526 + 1.39627i) q^{94} +(3.33586 - 3.84979i) q^{95} +(1.90392 + 1.22358i) q^{96} +(-0.689351 + 4.79454i) q^{97} +(5.81944 - 3.73993i) q^{98} +(1.30153 + 2.84995i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 20 q + 2 q^{2} - 3 q^{3} - 2 q^{4} - 2 q^{5} + 3 q^{6} + 19 q^{7} + 2 q^{8} - 27 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 20 q + 2 q^{2} - 3 q^{3} - 2 q^{4} - 2 q^{5} + 3 q^{6} + 19 q^{7} + 2 q^{8} - 27 q^{9} + 2 q^{10} + 7 q^{11} + 8 q^{12} + 8 q^{13} + 3 q^{14} - 3 q^{15} - 2 q^{16} + 8 q^{17} + 27 q^{18} - q^{19} - 2 q^{20} - 31 q^{21} - 18 q^{22} - 9 q^{23} - 8 q^{24} - 2 q^{25} - 8 q^{26} - 18 q^{27} - 3 q^{28} + 20 q^{29} + 3 q^{30} - 17 q^{31} + 2 q^{32} + 17 q^{33} + 3 q^{34} - 3 q^{35} + 17 q^{36} + 6 q^{37} - 21 q^{38} - 75 q^{39} + 2 q^{40} - 2 q^{41} + 42 q^{42} - 18 q^{43} + 7 q^{44} + 28 q^{45} - 2 q^{46} + 42 q^{47} + 8 q^{48} - 19 q^{49} + 2 q^{50} + 26 q^{51} + 19 q^{52} + 19 q^{53} - 26 q^{54} - 15 q^{55} - 19 q^{56} + 7 q^{57} - 9 q^{58} + 25 q^{59} - 3 q^{60} - 49 q^{61} - 38 q^{62} - 87 q^{63} - 2 q^{64} + 19 q^{65} - 6 q^{66} + 19 q^{67} - 36 q^{68} + 36 q^{69} + 14 q^{70} + 7 q^{71} - 17 q^{72} - 10 q^{73} - 6 q^{74} - 3 q^{75} - q^{76} - 29 q^{77} - 2 q^{78} - 33 q^{79} - 2 q^{80} + 72 q^{81} + 2 q^{82} - 41 q^{83} + 13 q^{84} - 14 q^{85} - 48 q^{86} - 16 q^{87} - 7 q^{88} + 55 q^{89} + 5 q^{90} + 13 q^{92} + 10 q^{93} + 13 q^{94} + 21 q^{95} + 3 q^{96} - 9 q^{97} + 41 q^{98} + 59 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/230\mathbb{Z}\right)^\times\).

\(n\) \(47\) \(51\)
\(\chi(n)\) \(1\) \(e\left(\frac{6}{11}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.959493 + 0.281733i 0.678464 + 0.199215i
\(3\) 1.48208 1.71041i 0.855679 0.987506i −0.144319 0.989531i \(-0.546099\pi\)
0.999998 + 0.00202511i \(0.000644613\pi\)
\(4\) 0.841254 + 0.540641i 0.420627 + 0.270320i
\(5\) −0.142315 + 0.989821i −0.0636451 + 0.442662i
\(6\) 1.90392 1.22358i 0.777273 0.499523i
\(7\) −0.119262 0.261148i −0.0450769 0.0987046i 0.885754 0.464155i \(-0.153642\pi\)
−0.930831 + 0.365451i \(0.880915\pi\)
\(8\) 0.654861 + 0.755750i 0.231528 + 0.267198i
\(9\) −0.302001 2.10046i −0.100667 0.700155i
\(10\) −0.415415 + 0.909632i −0.131366 + 0.287651i
\(11\) −1.41662 + 0.415958i −0.427128 + 0.125416i −0.488229 0.872715i \(-0.662357\pi\)
0.0611011 + 0.998132i \(0.480539\pi\)
\(12\) 2.17152 0.637616i 0.626865 0.184064i
\(13\) 0.722713 1.58252i 0.200444 0.438912i −0.782540 0.622600i \(-0.786076\pi\)
0.982985 + 0.183688i \(0.0588036\pi\)
\(14\) −0.0408574 0.284169i −0.0109196 0.0759475i
\(15\) 1.48208 + 1.71041i 0.382671 + 0.441626i
\(16\) 0.415415 + 0.909632i 0.103854 + 0.227408i
\(17\) −4.20116 + 2.69992i −1.01893 + 0.654827i −0.939689 0.342029i \(-0.888886\pi\)
−0.0792407 + 0.996856i \(0.525250\pi\)
\(18\) 0.302001 2.10046i 0.0711824 0.495084i
\(19\) −4.28535 2.75403i −0.983127 0.631817i −0.0528217 0.998604i \(-0.516821\pi\)
−0.930305 + 0.366787i \(0.880458\pi\)
\(20\) −0.654861 + 0.755750i −0.146431 + 0.168991i
\(21\) −0.623426 0.183054i −0.136043 0.0399457i
\(22\) −1.47643 −0.314776
\(23\) 3.72954 3.01505i 0.777662 0.628682i
\(24\) 2.26320 0.461973
\(25\) −0.959493 0.281733i −0.191899 0.0563465i
\(26\) 1.13929 1.31481i 0.223432 0.257854i
\(27\) 1.67152 + 1.07422i 0.321685 + 0.206734i
\(28\) 0.0408574 0.284169i 0.00772132 0.0537030i
\(29\) −4.22251 + 2.71364i −0.784101 + 0.503911i −0.870392 0.492359i \(-0.836135\pi\)
0.0862916 + 0.996270i \(0.472498\pi\)
\(30\) 0.940166 + 2.05868i 0.171650 + 0.375861i
\(31\) −0.0279203 0.0322218i −0.00501464 0.00578721i 0.753237 0.657750i \(-0.228491\pi\)
−0.758251 + 0.651962i \(0.773946\pi\)
\(32\) 0.142315 + 0.989821i 0.0251579 + 0.174977i
\(33\) −1.38809 + 3.03949i −0.241635 + 0.529108i
\(34\) −4.79164 + 1.40695i −0.821759 + 0.241290i
\(35\) 0.275462 0.0808831i 0.0465617 0.0136717i
\(36\) 0.881537 1.93030i 0.146923 0.321716i
\(37\) 0.623559 + 4.33695i 0.102512 + 0.712990i 0.974651 + 0.223731i \(0.0718236\pi\)
−0.872139 + 0.489259i \(0.837267\pi\)
\(38\) −3.33586 3.84979i −0.541149 0.624519i
\(39\) −1.63564 3.58156i −0.261912 0.573508i
\(40\) −0.841254 + 0.540641i −0.133014 + 0.0854828i
\(41\) −1.14712 + 7.97839i −0.179150 + 1.24602i 0.679586 + 0.733596i \(0.262160\pi\)
−0.858736 + 0.512419i \(0.828750\pi\)
\(42\) −0.546600 0.351279i −0.0843423 0.0542035i
\(43\) −2.56716 + 2.96267i −0.391489 + 0.451802i −0.916942 0.399020i \(-0.869350\pi\)
0.525453 + 0.850822i \(0.323896\pi\)
\(44\) −1.41662 0.415958i −0.213564 0.0627081i
\(45\) 2.12206 0.316339
\(46\) 4.42790 1.84219i 0.652859 0.271616i
\(47\) 4.95602 0.722909 0.361455 0.932390i \(-0.382280\pi\)
0.361455 + 0.932390i \(0.382280\pi\)
\(48\) 2.17152 + 0.637616i 0.313432 + 0.0920320i
\(49\) 4.53005 5.22796i 0.647150 0.746851i
\(50\) −0.841254 0.540641i −0.118971 0.0764582i
\(51\) −1.60848 + 11.1872i −0.225232 + 1.56652i
\(52\) 1.46356 0.940573i 0.202959 0.130434i
\(53\) −0.805745 1.76434i −0.110678 0.242350i 0.846186 0.532888i \(-0.178893\pi\)
−0.956864 + 0.290538i \(0.906166\pi\)
\(54\) 1.30117 + 1.50163i 0.177067 + 0.204346i
\(55\) −0.210118 1.46140i −0.0283323 0.197055i
\(56\) 0.119262 0.261148i 0.0159371 0.0348973i
\(57\) −11.0617 + 3.24802i −1.46516 + 0.430211i
\(58\) −4.81599 + 1.41410i −0.632371 + 0.185681i
\(59\) 2.26564 4.96106i 0.294961 0.645875i −0.702897 0.711292i \(-0.748110\pi\)
0.997858 + 0.0654167i \(0.0208377\pi\)
\(60\) 0.322087 + 2.24016i 0.0415812 + 0.289204i
\(61\) −6.42398 7.41367i −0.822507 0.949223i 0.176880 0.984232i \(-0.443399\pi\)
−0.999387 + 0.0350091i \(0.988854\pi\)
\(62\) −0.0177114 0.0387827i −0.00224936 0.00492540i
\(63\) −0.512514 + 0.329373i −0.0645707 + 0.0414971i
\(64\) −0.142315 + 0.989821i −0.0177894 + 0.123728i
\(65\) 1.46356 + 0.940573i 0.181532 + 0.116664i
\(66\) −2.18819 + 2.52530i −0.269347 + 0.310843i
\(67\) 6.47971 + 1.90261i 0.791623 + 0.232441i 0.652455 0.757828i \(-0.273739\pi\)
0.139168 + 0.990269i \(0.455557\pi\)
\(68\) −4.99392 −0.605602
\(69\) 0.370493 10.8476i 0.0446021 1.30590i
\(70\) 0.287092 0.0343140
\(71\) −3.42144 1.00463i −0.406051 0.119227i 0.0723281 0.997381i \(-0.476957\pi\)
−0.478379 + 0.878154i \(0.658775\pi\)
\(72\) 1.38966 1.60375i 0.163773 0.189004i
\(73\) −9.83188 6.31857i −1.15073 0.739532i −0.180950 0.983492i \(-0.557917\pi\)
−0.969785 + 0.243960i \(0.921553\pi\)
\(74\) −0.623559 + 4.33695i −0.0724872 + 0.504160i
\(75\) −1.90392 + 1.22358i −0.219846 + 0.141287i
\(76\) −2.11613 4.63367i −0.242736 0.531518i
\(77\) 0.277576 + 0.320340i 0.0316327 + 0.0365061i
\(78\) −0.560346 3.89729i −0.0634467 0.441281i
\(79\) 5.63907 12.3479i 0.634445 1.38924i −0.270086 0.962836i \(-0.587052\pi\)
0.904532 0.426406i \(-0.140220\pi\)
\(80\) −0.959493 + 0.281733i −0.107275 + 0.0314987i
\(81\) 10.4230 3.06047i 1.15811 0.340052i
\(82\) −3.34842 + 7.33203i −0.369772 + 0.809687i
\(83\) 1.38883 + 9.65952i 0.152444 + 1.06027i 0.912107 + 0.409953i \(0.134455\pi\)
−0.759663 + 0.650317i \(0.774636\pi\)
\(84\) −0.425493 0.491045i −0.0464251 0.0535774i
\(85\) −2.07455 4.54263i −0.225017 0.492718i
\(86\) −3.29786 + 2.11940i −0.355617 + 0.228541i
\(87\) −1.61665 + 11.2441i −0.173323 + 1.20549i
\(88\) −1.24205 0.798218i −0.132403 0.0850903i
\(89\) 2.15953 2.49223i 0.228910 0.264176i −0.629662 0.776869i \(-0.716807\pi\)
0.858572 + 0.512693i \(0.171352\pi\)
\(90\) 2.03611 + 0.597855i 0.214624 + 0.0630194i
\(91\) −0.499464 −0.0523580
\(92\) 4.76755 0.520083i 0.497051 0.0542224i
\(93\) −0.0964927 −0.0100058
\(94\) 4.75526 + 1.39627i 0.490468 + 0.144014i
\(95\) 3.33586 3.84979i 0.342252 0.394980i
\(96\) 1.90392 + 1.22358i 0.194318 + 0.124881i
\(97\) −0.689351 + 4.79454i −0.0699930 + 0.486812i 0.924430 + 0.381351i \(0.124541\pi\)
−0.994423 + 0.105461i \(0.966368\pi\)
\(98\) 5.81944 3.73993i 0.587852 0.377789i
\(99\) 1.30153 + 2.84995i 0.130808 + 0.286431i
\(100\) −0.654861 0.755750i −0.0654861 0.0755750i
\(101\) −1.84404 12.8256i −0.183489 1.27619i −0.848434 0.529301i \(-0.822454\pi\)
0.664945 0.746892i \(-0.268455\pi\)
\(102\) −4.69512 + 10.2809i −0.464886 + 1.01796i
\(103\) −5.84488 + 1.71621i −0.575913 + 0.169103i −0.556702 0.830712i \(-0.687934\pi\)
−0.0192110 + 0.999815i \(0.506115\pi\)
\(104\) 1.66926 0.490140i 0.163685 0.0480622i
\(105\) 0.269914 0.591029i 0.0263409 0.0576785i
\(106\) −0.276036 1.91987i −0.0268110 0.186474i
\(107\) 10.0474 + 11.5954i 0.971322 + 1.12096i 0.992629 + 0.121192i \(0.0386716\pi\)
−0.0213076 + 0.999773i \(0.506783\pi\)
\(108\) 0.825406 + 1.80739i 0.0794247 + 0.173916i
\(109\) 15.4835 9.95065i 1.48305 0.953099i 0.486197 0.873849i \(-0.338384\pi\)
0.996855 0.0792502i \(-0.0252526\pi\)
\(110\) 0.210118 1.46140i 0.0200339 0.139339i
\(111\) 8.34213 + 5.36116i 0.791799 + 0.508859i
\(112\) 0.188005 0.216969i 0.0177648 0.0205017i
\(113\) 11.4548 + 3.36343i 1.07758 + 0.316405i 0.771909 0.635733i \(-0.219302\pi\)
0.305668 + 0.952138i \(0.401120\pi\)
\(114\) −11.5287 −1.07977
\(115\) 2.45360 + 4.12066i 0.228799 + 0.384254i
\(116\) −5.01931 −0.466031
\(117\) −3.54229 1.04011i −0.327485 0.0961581i
\(118\) 3.57156 4.12180i 0.328789 0.379442i
\(119\) 1.20612 + 0.775124i 0.110565 + 0.0710555i
\(120\) −0.322087 + 2.24016i −0.0294024 + 0.204498i
\(121\) −7.41999 + 4.76854i −0.674544 + 0.433503i
\(122\) −4.07509 8.92321i −0.368942 0.807869i
\(123\) 11.9462 + 13.7867i 1.07715 + 1.24310i
\(124\) −0.00606767 0.0422016i −0.000544893 0.00378981i
\(125\) 0.415415 0.909632i 0.0371558 0.0813600i
\(126\) −0.584549 + 0.171639i −0.0520758 + 0.0152908i
\(127\) 17.2561 5.06685i 1.53123 0.449610i 0.595805 0.803129i \(-0.296833\pi\)
0.935427 + 0.353519i \(0.115015\pi\)
\(128\) −0.415415 + 0.909632i −0.0367178 + 0.0804009i
\(129\) 1.26263 + 8.78181i 0.111169 + 0.773195i
\(130\) 1.13929 + 1.31481i 0.0999219 + 0.115316i
\(131\) 1.51140 + 3.30950i 0.132052 + 0.289153i 0.964095 0.265558i \(-0.0855562\pi\)
−0.832043 + 0.554711i \(0.812829\pi\)
\(132\) −2.81101 + 1.80653i −0.244667 + 0.157238i
\(133\) −0.208128 + 1.44756i −0.0180470 + 0.125519i
\(134\) 5.68121 + 3.65109i 0.490782 + 0.315406i
\(135\) −1.30117 + 1.50163i −0.111987 + 0.129240i
\(136\) −4.79164 1.40695i −0.410879 0.120645i
\(137\) 0.659606 0.0563539 0.0281770 0.999603i \(-0.491030\pi\)
0.0281770 + 0.999603i \(0.491030\pi\)
\(138\) 3.41160 10.3038i 0.290415 0.877118i
\(139\) 0.478719 0.0406044 0.0203022 0.999794i \(-0.493537\pi\)
0.0203022 + 0.999794i \(0.493537\pi\)
\(140\) 0.275462 + 0.0808831i 0.0232808 + 0.00683587i
\(141\) 7.34521 8.47682i 0.618578 0.713877i
\(142\) −2.99981 1.92786i −0.251739 0.161783i
\(143\) −0.365550 + 2.54245i −0.0305688 + 0.212611i
\(144\) 1.78519 1.14727i 0.148766 0.0956062i
\(145\) −2.08510 4.56572i −0.173158 0.379163i
\(146\) −7.65348 8.83258i −0.633406 0.730990i
\(147\) −2.22806 15.4965i −0.183767 1.27813i
\(148\) −1.82016 + 3.98559i −0.149616 + 0.327614i
\(149\) −18.8793 + 5.54346i −1.54665 + 0.454138i −0.940098 0.340903i \(-0.889267\pi\)
−0.606555 + 0.795042i \(0.707449\pi\)
\(150\) −2.17152 + 0.637616i −0.177304 + 0.0520612i
\(151\) 5.16449 11.3086i 0.420280 0.920285i −0.574525 0.818487i \(-0.694813\pi\)
0.994805 0.101798i \(-0.0324595\pi\)
\(152\) −0.724953 5.04216i −0.0588014 0.408973i
\(153\) 6.93984 + 8.00900i 0.561053 + 0.647489i
\(154\) 0.176082 + 0.385566i 0.0141891 + 0.0310698i
\(155\) 0.0358673 0.0230505i 0.00288093 0.00185146i
\(156\) 0.560346 3.89729i 0.0448636 0.312033i
\(157\) −13.1533 8.45310i −1.04975 0.674631i −0.102367 0.994747i \(-0.532642\pi\)
−0.947378 + 0.320116i \(0.896278\pi\)
\(158\) 8.88944 10.2590i 0.707206 0.816160i
\(159\) −4.21192 1.23673i −0.334027 0.0980791i
\(160\) −1.00000 −0.0790569
\(161\) −1.23217 0.614379i −0.0971084 0.0484198i
\(162\) 10.8630 0.853481
\(163\) −13.9983 4.11027i −1.09643 0.321941i −0.316998 0.948426i \(-0.602675\pi\)
−0.779434 + 0.626485i \(0.784493\pi\)
\(164\) −5.27846 + 6.09167i −0.412179 + 0.475679i
\(165\) −2.81101 1.80653i −0.218837 0.140638i
\(166\) −1.38883 + 9.65952i −0.107794 + 0.749724i
\(167\) 14.1266 9.07860i 1.09315 0.702523i 0.135589 0.990765i \(-0.456707\pi\)
0.957558 + 0.288242i \(0.0930708\pi\)
\(168\) −0.269914 0.591029i −0.0208243 0.0455989i
\(169\) 6.53113 + 7.53733i 0.502395 + 0.579795i
\(170\) −0.710710 4.94309i −0.0545089 0.379118i
\(171\) −4.49056 + 9.83294i −0.343401 + 0.751944i
\(172\) −3.76137 + 1.10444i −0.286802 + 0.0842127i
\(173\) 6.94530 2.03932i 0.528041 0.155047i −0.00683601 0.999977i \(-0.502176\pi\)
0.534877 + 0.844930i \(0.320358\pi\)
\(174\) −4.71899 + 10.3331i −0.357745 + 0.783353i
\(175\) 0.0408574 + 0.284169i 0.00308853 + 0.0214812i
\(176\) −0.966856 1.11581i −0.0728795 0.0841074i
\(177\) −5.12759 11.2279i −0.385414 0.843938i
\(178\) 2.77420 1.78287i 0.207935 0.133632i
\(179\) −2.03761 + 14.1719i −0.152298 + 1.05926i 0.760057 + 0.649856i \(0.225171\pi\)
−0.912355 + 0.409400i \(0.865738\pi\)
\(180\) 1.78519 + 1.14727i 0.133060 + 0.0855128i
\(181\) 7.22561 8.33880i 0.537075 0.619818i −0.420747 0.907178i \(-0.638232\pi\)
0.957823 + 0.287360i \(0.0927775\pi\)
\(182\) −0.479232 0.140715i −0.0355230 0.0104305i
\(183\) −22.2013 −1.64117
\(184\) 4.72095 + 0.844157i 0.348033 + 0.0622321i
\(185\) −4.38155 −0.322138
\(186\) −0.0925840 0.0271851i −0.00678859 0.00199331i
\(187\) 4.82840 5.57228i 0.353088 0.407485i
\(188\) 4.16927 + 2.67942i 0.304075 + 0.195417i
\(189\) 0.0811813 0.564629i 0.00590507 0.0410707i
\(190\) 4.28535 2.75403i 0.310892 0.199798i
\(191\) 5.43536 + 11.9018i 0.393289 + 0.861183i 0.997907 + 0.0646671i \(0.0205986\pi\)
−0.604618 + 0.796516i \(0.706674\pi\)
\(192\) 1.48208 + 1.71041i 0.106960 + 0.123438i
\(193\) −0.444960 3.09477i −0.0320289 0.222766i 0.967520 0.252794i \(-0.0813495\pi\)
−0.999549 + 0.0300279i \(0.990440\pi\)
\(194\) −2.01221 + 4.40612i −0.144468 + 0.316341i
\(195\) 3.77788 1.10928i 0.270539 0.0794375i
\(196\) 6.63737 1.94891i 0.474098 0.139208i
\(197\) −10.8966 + 23.8602i −0.776349 + 1.69997i −0.0642003 + 0.997937i \(0.520450\pi\)
−0.712148 + 0.702029i \(0.752278\pi\)
\(198\) 0.445883 + 3.10119i 0.0316876 + 0.220392i
\(199\) 2.08696 + 2.40849i 0.147941 + 0.170733i 0.824883 0.565303i \(-0.191241\pi\)
−0.676942 + 0.736036i \(0.736695\pi\)
\(200\) −0.415415 0.909632i −0.0293743 0.0643207i
\(201\) 12.8577 8.26314i 0.906912 0.582837i
\(202\) 1.84404 12.8256i 0.129746 0.902405i
\(203\) 1.21225 + 0.779064i 0.0850831 + 0.0546796i
\(204\) −7.40139 + 8.54166i −0.518201 + 0.598036i
\(205\) −7.73393 2.27089i −0.540161 0.158606i
\(206\) −6.09164 −0.424424
\(207\) −7.45934 6.92321i −0.518460 0.481197i
\(208\) 1.73974 0.120629
\(209\) 7.21629 + 2.11889i 0.499161 + 0.146567i
\(210\) 0.425493 0.491045i 0.0293618 0.0338853i
\(211\) −21.7758 13.9945i −1.49911 0.963420i −0.995010 0.0997757i \(-0.968187\pi\)
−0.504101 0.863645i \(-0.668176\pi\)
\(212\) 0.276036 1.91987i 0.0189582 0.131857i
\(213\) −6.78917 + 4.36314i −0.465186 + 0.298957i
\(214\) 6.37365 + 13.9563i 0.435694 + 0.954036i
\(215\) −2.56716 2.96267i −0.175079 0.202052i
\(216\) 0.282771 + 1.96672i 0.0192402 + 0.133818i
\(217\) −0.00508481 + 0.0111342i −0.000345179 + 0.000755837i
\(218\) 17.6597 5.18537i 1.19607 0.351198i
\(219\) −25.3790 + 7.45194i −1.71495 + 0.503555i
\(220\) 0.613331 1.34301i 0.0413508 0.0905455i
\(221\) 1.23645 + 8.59968i 0.0831724 + 0.578477i
\(222\) 6.49380 + 7.49424i 0.435835 + 0.502981i
\(223\) 2.25516 + 4.93812i 0.151017 + 0.330681i 0.969988 0.243154i \(-0.0781822\pi\)
−0.818971 + 0.573835i \(0.805455\pi\)
\(224\) 0.241517 0.155213i 0.0161370 0.0103706i
\(225\) −0.302001 + 2.10046i −0.0201334 + 0.140031i
\(226\) 10.0432 + 6.45438i 0.668064 + 0.429339i
\(227\) 5.24152 6.04903i 0.347892 0.401488i −0.554655 0.832080i \(-0.687150\pi\)
0.902547 + 0.430592i \(0.141695\pi\)
\(228\) −11.0617 3.24802i −0.732582 0.215105i
\(229\) −26.0106 −1.71883 −0.859413 0.511281i \(-0.829171\pi\)
−0.859413 + 0.511281i \(0.829171\pi\)
\(230\) 1.19328 + 4.64501i 0.0786827 + 0.306283i
\(231\) 0.959303 0.0631175
\(232\) −4.81599 1.41410i −0.316185 0.0928404i
\(233\) −17.1409 + 19.7817i −1.12294 + 1.29594i −0.172509 + 0.985008i \(0.555187\pi\)
−0.950431 + 0.310934i \(0.899358\pi\)
\(234\) −3.10577 1.99596i −0.203030 0.130480i
\(235\) −0.705315 + 4.90557i −0.0460097 + 0.320004i
\(236\) 4.58813 2.94861i 0.298662 0.191938i
\(237\) −12.7623 27.9456i −0.829003 1.81526i
\(238\) 0.938883 + 1.08353i 0.0608588 + 0.0702347i
\(239\) 1.87996 + 13.0754i 0.121605 + 0.845778i 0.955739 + 0.294217i \(0.0950587\pi\)
−0.834134 + 0.551562i \(0.814032\pi\)
\(240\) −0.940166 + 2.05868i −0.0606875 + 0.132887i
\(241\) −8.29354 + 2.43520i −0.534234 + 0.156865i −0.537712 0.843129i \(-0.680711\pi\)
0.00347797 + 0.999994i \(0.498893\pi\)
\(242\) −8.46288 + 2.48493i −0.544014 + 0.159737i
\(243\) 7.73684 16.9413i 0.496319 1.08679i
\(244\) −1.39606 9.70984i −0.0893739 0.621609i
\(245\) 4.53005 + 5.22796i 0.289414 + 0.334002i
\(246\) 7.57815 + 16.5938i 0.483165 + 1.05798i
\(247\) −7.45538 + 4.79128i −0.474374 + 0.304862i
\(248\) 0.00606767 0.0422016i 0.000385297 0.00267980i
\(249\) 18.5801 + 11.9407i 1.17747 + 0.756711i
\(250\) 0.654861 0.755750i 0.0414170 0.0477978i
\(251\) −23.1512 6.79780i −1.46129 0.429074i −0.548033 0.836457i \(-0.684623\pi\)
−0.913257 + 0.407383i \(0.866441\pi\)
\(252\) −0.609227 −0.0383777
\(253\) −4.02922 + 5.82253i −0.253315 + 0.366059i
\(254\) 17.9846 1.12845
\(255\) −10.8444 3.18421i −0.679104 0.199403i
\(256\) −0.654861 + 0.755750i −0.0409288 + 0.0472343i
\(257\) −4.83569 3.10771i −0.301642 0.193854i 0.381060 0.924550i \(-0.375559\pi\)
−0.682702 + 0.730697i \(0.739195\pi\)
\(258\) −1.26263 + 8.78181i −0.0786081 + 0.546732i
\(259\) 1.05822 0.680075i 0.0657544 0.0422578i
\(260\) 0.722713 + 1.58252i 0.0448207 + 0.0981437i
\(261\) 6.97511 + 8.04971i 0.431749 + 0.498265i
\(262\) 0.517783 + 3.60126i 0.0319887 + 0.222486i
\(263\) 11.6366 25.4807i 0.717545 1.57121i −0.0997673 0.995011i \(-0.531810\pi\)
0.817313 0.576194i \(-0.195463\pi\)
\(264\) −3.20610 + 0.941396i −0.197322 + 0.0579389i
\(265\) 1.86105 0.546453i 0.114323 0.0335683i
\(266\) −0.607522 + 1.33029i −0.0372496 + 0.0815652i
\(267\) −1.06214 7.38736i −0.0650021 0.452099i
\(268\) 4.42245 + 5.10378i 0.270144 + 0.311763i
\(269\) 1.27265 + 2.78672i 0.0775951 + 0.169910i 0.944454 0.328645i \(-0.106592\pi\)
−0.866859 + 0.498554i \(0.833865\pi\)
\(270\) −1.67152 + 1.07422i −0.101726 + 0.0653751i
\(271\) −3.33392 + 23.1879i −0.202521 + 1.40857i 0.594247 + 0.804283i \(0.297450\pi\)
−0.796768 + 0.604285i \(0.793459\pi\)
\(272\) −4.20116 2.69992i −0.254733 0.163707i
\(273\) −0.740245 + 0.854288i −0.0448017 + 0.0517039i
\(274\) 0.632887 + 0.185832i 0.0382341 + 0.0112265i
\(275\) 1.47643 0.0890320
\(276\) 6.17633 8.92527i 0.371771 0.537238i
\(277\) 7.10279 0.426765 0.213383 0.976969i \(-0.431552\pi\)
0.213383 + 0.976969i \(0.431552\pi\)
\(278\) 0.459327 + 0.134871i 0.0275486 + 0.00808901i
\(279\) −0.0592488 + 0.0683767i −0.00354713 + 0.00409361i
\(280\) 0.241517 + 0.155213i 0.0144334 + 0.00927578i
\(281\) −1.15597 + 8.03994i −0.0689593 + 0.479623i 0.925852 + 0.377886i \(0.123349\pi\)
−0.994811 + 0.101737i \(0.967560\pi\)
\(282\) 9.43587 6.06407i 0.561898 0.361110i
\(283\) 5.83034 + 12.7667i 0.346577 + 0.758899i 0.999998 + 0.00190388i \(0.000606023\pi\)
−0.653421 + 0.756995i \(0.726667\pi\)
\(284\) −2.33516 2.69492i −0.138566 0.159914i
\(285\) −1.64071 11.4114i −0.0971873 0.675953i
\(286\) −1.06703 + 2.33648i −0.0630951 + 0.138159i
\(287\) 2.22035 0.651953i 0.131063 0.0384835i
\(288\) 2.03611 0.597855i 0.119979 0.0352289i
\(289\) 3.29810 7.22182i 0.194006 0.424813i
\(290\) −0.714322 4.96822i −0.0419464 0.291744i
\(291\) 7.17897 + 8.28497i 0.420838 + 0.485673i
\(292\) −4.85503 10.6310i −0.284119 0.622134i
\(293\) 13.4130 8.62000i 0.783595 0.503586i −0.0866298 0.996241i \(-0.527610\pi\)
0.870225 + 0.492655i \(0.163973\pi\)
\(294\) 2.22806 15.4965i 0.129943 0.903774i
\(295\) 4.58813 + 2.94861i 0.267131 + 0.171675i
\(296\) −2.86930 + 3.31135i −0.166775 + 0.192468i
\(297\) −2.81475 0.826485i −0.163328 0.0479575i
\(298\) −19.6763 −1.13982
\(299\) −2.07600 8.08109i −0.120058 0.467341i
\(300\) −2.26320 −0.130666
\(301\) 1.07986 + 0.317075i 0.0622420 + 0.0182759i
\(302\) 8.14130 9.39556i 0.468479 0.540654i
\(303\) −24.6700 15.8545i −1.41726 0.910815i
\(304\) 0.724953 5.04216i 0.0415789 0.289187i
\(305\) 8.25244 5.30352i 0.472533 0.303679i
\(306\) 4.40233 + 9.63976i 0.251664 + 0.551068i
\(307\) −13.4605 15.5342i −0.768231 0.886586i 0.227970 0.973668i \(-0.426791\pi\)
−0.996201 + 0.0870824i \(0.972246\pi\)
\(308\) 0.0603231 + 0.419556i 0.00343723 + 0.0239064i
\(309\) −5.72715 + 12.5407i −0.325806 + 0.713416i
\(310\) 0.0409085 0.0120118i 0.00232345 0.000682226i
\(311\) −8.25521 + 2.42395i −0.468110 + 0.137449i −0.507277 0.861783i \(-0.669348\pi\)
0.0391668 + 0.999233i \(0.487530\pi\)
\(312\) 1.63564 3.58156i 0.0926000 0.202766i
\(313\) 1.51140 + 10.5120i 0.0854295 + 0.594175i 0.986900 + 0.161334i \(0.0515797\pi\)
−0.901470 + 0.432841i \(0.857511\pi\)
\(314\) −10.2390 11.8164i −0.577818 0.666838i
\(315\) −0.253082 0.554172i −0.0142596 0.0312241i
\(316\) 11.4196 7.33896i 0.642405 0.412849i
\(317\) −2.68529 + 18.6766i −0.150821 + 1.04898i 0.764028 + 0.645183i \(0.223219\pi\)
−0.914848 + 0.403798i \(0.867690\pi\)
\(318\) −3.69288 2.37327i −0.207086 0.133086i
\(319\) 4.85295 5.60060i 0.271713 0.313573i
\(320\) −0.959493 0.281733i −0.0536373 0.0157493i
\(321\) 34.7239 1.93810
\(322\) −1.00917 0.936634i −0.0562386 0.0521966i
\(323\) 25.4391 1.41547
\(324\) 10.4230 + 3.06047i 0.579056 + 0.170026i
\(325\) −1.13929 + 1.31481i −0.0631962 + 0.0729323i
\(326\) −12.2733 7.88755i −0.679754 0.436851i
\(327\) 5.92810 41.2308i 0.327825 2.28007i
\(328\) −6.78087 + 4.35780i −0.374411 + 0.240619i
\(329\) −0.591065 1.29425i −0.0325865 0.0713545i
\(330\) −2.18819 2.52530i −0.120456 0.139013i
\(331\) −0.0695067 0.483430i −0.00382044 0.0265717i 0.987822 0.155588i \(-0.0497272\pi\)
−0.991642 + 0.129016i \(0.958818\pi\)
\(332\) −4.05397 + 8.87696i −0.222491 + 0.487186i
\(333\) 8.92129 2.61953i 0.488884 0.143549i
\(334\) 16.1121 4.73093i 0.881614 0.258865i
\(335\) −2.80541 + 6.14299i −0.153276 + 0.335627i
\(336\) −0.0924684 0.643132i −0.00504456 0.0350857i
\(337\) 23.2696 + 26.8546i 1.26758 + 1.46286i 0.823960 + 0.566647i \(0.191760\pi\)
0.443618 + 0.896216i \(0.353695\pi\)
\(338\) 4.14307 + 9.07205i 0.225353 + 0.493454i
\(339\) 22.7298 14.6075i 1.23451 0.793372i
\(340\) 0.710710 4.94309i 0.0385436 0.268077i
\(341\) 0.0529555 + 0.0340325i 0.00286770 + 0.00184296i
\(342\) −7.07892 + 8.16951i −0.382784 + 0.441756i
\(343\) −3.83377 1.12570i −0.207004 0.0607819i
\(344\) −3.92017 −0.211361
\(345\) 10.6845 + 1.91049i 0.575231 + 0.102858i
\(346\) 7.23851 0.389145
\(347\) −33.0807 9.71337i −1.77587 0.521441i −0.781171 0.624317i \(-0.785377\pi\)
−0.994694 + 0.102876i \(0.967195\pi\)
\(348\) −7.43901 + 8.58508i −0.398773 + 0.460209i
\(349\) 8.44393 + 5.42658i 0.451993 + 0.290478i 0.746763 0.665090i \(-0.231607\pi\)
−0.294770 + 0.955568i \(0.595243\pi\)
\(350\) −0.0408574 + 0.284169i −0.00218392 + 0.0151895i
\(351\) 2.90801 1.86886i 0.155218 0.0997526i
\(352\) −0.613331 1.34301i −0.0326906 0.0715825i
\(353\) 3.63616 + 4.19635i 0.193533 + 0.223349i 0.844220 0.535997i \(-0.180064\pi\)
−0.650686 + 0.759347i \(0.725519\pi\)
\(354\) −1.75664 12.2177i −0.0933641 0.649362i
\(355\) 1.48132 3.24364i 0.0786204 0.172155i
\(356\) 3.16411 0.929067i 0.167698 0.0492405i
\(357\) 3.11334 0.914160i 0.164776 0.0483825i
\(358\) −5.94775 + 13.0238i −0.314348 + 0.688327i
\(359\) 1.36621 + 9.50222i 0.0721060 + 0.501508i 0.993586 + 0.113082i \(0.0360722\pi\)
−0.921480 + 0.388427i \(0.873019\pi\)
\(360\) 1.38966 + 1.60375i 0.0732413 + 0.0845250i
\(361\) 2.88667 + 6.32093i 0.151930 + 0.332681i
\(362\) 9.28223 5.96533i 0.487863 0.313531i
\(363\) −2.84085 + 19.7586i −0.149106 + 1.03706i
\(364\) −0.420176 0.270031i −0.0220232 0.0141534i
\(365\) 7.65348 8.83258i 0.400601 0.462319i
\(366\) −21.3020 6.25482i −1.11347 0.326945i
\(367\) 17.0936 0.892280 0.446140 0.894963i \(-0.352798\pi\)
0.446140 + 0.894963i \(0.352798\pi\)
\(368\) 4.29189 + 2.14001i 0.223730 + 0.111556i
\(369\) 17.1048 0.890438
\(370\) −4.20406 1.23442i −0.218559 0.0641746i
\(371\) −0.364657 + 0.420837i −0.0189321 + 0.0218488i
\(372\) −0.0811748 0.0521679i −0.00420872 0.00270478i
\(373\) 0.416461 2.89655i 0.0215635 0.149978i −0.976195 0.216895i \(-0.930407\pi\)
0.997759 + 0.0669171i \(0.0213163\pi\)
\(374\) 6.20271 3.98624i 0.320735 0.206124i
\(375\) −0.940166 2.05868i −0.0485500 0.106310i
\(376\) 3.24550 + 3.74551i 0.167374 + 0.193160i
\(377\) 1.24273 + 8.64339i 0.0640040 + 0.445157i
\(378\) 0.236967 0.518886i 0.0121883 0.0266886i
\(379\) 4.80757 1.41163i 0.246948 0.0725106i −0.155916 0.987770i \(-0.549833\pi\)
0.402864 + 0.915260i \(0.368015\pi\)
\(380\) 4.88766 1.43515i 0.250732 0.0736215i
\(381\) 16.9085 37.0245i 0.866250 1.89682i
\(382\) 1.86207 + 12.9510i 0.0952719 + 0.662631i
\(383\) −6.30745 7.27919i −0.322296 0.371949i 0.571362 0.820698i \(-0.306415\pi\)
−0.893658 + 0.448749i \(0.851870\pi\)
\(384\) 0.940166 + 2.05868i 0.0479777 + 0.105056i
\(385\) −0.356583 + 0.229162i −0.0181731 + 0.0116792i
\(386\) 0.444960 3.09477i 0.0226479 0.157519i
\(387\) 6.99826 + 4.49751i 0.355742 + 0.228621i
\(388\) −3.17205 + 3.66074i −0.161036 + 0.185846i
\(389\) 3.97728 + 1.16783i 0.201656 + 0.0592115i 0.381001 0.924575i \(-0.375580\pi\)
−0.179345 + 0.983786i \(0.557398\pi\)
\(390\) 3.93737 0.199376
\(391\) −7.52797 + 22.7362i −0.380706 + 1.14982i
\(392\) 6.91758 0.349390
\(393\) 7.90063 + 2.31983i 0.398534 + 0.117020i
\(394\) −17.1774 + 19.8237i −0.865383 + 0.998706i
\(395\) 11.4196 + 7.33896i 0.574585 + 0.369263i
\(396\) −0.445883 + 3.10119i −0.0224065 + 0.155841i
\(397\) 29.1525 18.7352i 1.46312 0.940292i 0.464625 0.885508i \(-0.346189\pi\)
0.998498 0.0547845i \(-0.0174472\pi\)
\(398\) 1.32388 + 2.89889i 0.0663601 + 0.145308i
\(399\) 2.16746 + 2.50138i 0.108509 + 0.125226i
\(400\) −0.142315 0.989821i −0.00711574 0.0494911i
\(401\) −7.41042 + 16.2266i −0.370059 + 0.810316i 0.629389 + 0.777090i \(0.283305\pi\)
−0.999448 + 0.0332255i \(0.989422\pi\)
\(402\) 14.6649 4.30599i 0.731417 0.214763i
\(403\) −0.0711700 + 0.0208974i −0.00354523 + 0.00104097i
\(404\) 5.38273 11.7865i 0.267801 0.586402i
\(405\) 1.54597 + 10.7525i 0.0768199 + 0.534294i
\(406\) 0.943655 + 1.08904i 0.0468328 + 0.0540480i
\(407\) −2.68734 5.88445i −0.133206 0.291681i
\(408\) −9.50805 + 6.11045i −0.470719 + 0.302512i
\(409\) −2.93217 + 20.3937i −0.144986 + 1.00840i 0.779286 + 0.626668i \(0.215582\pi\)
−0.924272 + 0.381734i \(0.875327\pi\)
\(410\) −6.78087 4.35780i −0.334883 0.215216i
\(411\) 0.977588 1.12820i 0.0482209 0.0556498i
\(412\) −5.84488 1.71621i −0.287957 0.0845517i
\(413\) −1.56578 −0.0770468
\(414\) −5.20669 8.74431i −0.255895 0.429760i
\(415\) −9.75885 −0.479043
\(416\) 1.66926 + 0.490140i 0.0818424 + 0.0240311i
\(417\) 0.709499 0.818806i 0.0347443 0.0400971i
\(418\) 6.32702 + 4.06613i 0.309465 + 0.198881i
\(419\) 5.33643 37.1157i 0.260702 1.81322i −0.266896 0.963725i \(-0.585998\pi\)
0.527597 0.849494i \(-0.323093\pi\)
\(420\) 0.546600 0.351279i 0.0266714 0.0171407i
\(421\) 0.918473 + 2.01118i 0.0447636 + 0.0980187i 0.930693 0.365802i \(-0.119205\pi\)
−0.885929 + 0.463821i \(0.846478\pi\)
\(422\) −16.9511 19.5626i −0.825165 0.952291i
\(423\) −1.49672 10.4099i −0.0727732 0.506148i
\(424\) 0.805745 1.76434i 0.0391304 0.0856837i
\(425\) 4.79164 1.40695i 0.232428 0.0682472i
\(426\) −7.74340 + 2.27367i −0.375169 + 0.110160i
\(427\) −1.16993 + 2.56178i −0.0566167 + 0.123973i
\(428\) 2.18351 + 15.1867i 0.105544 + 0.734076i
\(429\) 3.80687 + 4.39336i 0.183797 + 0.212113i
\(430\) −1.62850 3.56591i −0.0785331 0.171963i
\(431\) −3.53497 + 2.27179i −0.170273 + 0.109428i −0.623002 0.782220i \(-0.714087\pi\)
0.452728 + 0.891648i \(0.350451\pi\)
\(432\) −0.282771 + 1.96672i −0.0136048 + 0.0946238i
\(433\) 3.44487 + 2.21388i 0.165550 + 0.106392i 0.620792 0.783975i \(-0.286811\pi\)
−0.455242 + 0.890368i \(0.650447\pi\)
\(434\) −0.00801570 + 0.00925061i −0.000384766 + 0.000444043i
\(435\) −10.8995 3.20039i −0.522593 0.153447i
\(436\) 18.4053 0.881453
\(437\) −24.2859 + 2.64931i −1.16175 + 0.126734i
\(438\) −26.4504 −1.26385
\(439\) 0.640682 + 0.188121i 0.0305781 + 0.00897853i 0.296986 0.954882i \(-0.404019\pi\)
−0.266408 + 0.963860i \(0.585837\pi\)
\(440\) 0.966856 1.11581i 0.0460930 0.0531942i
\(441\) −12.3492 7.93636i −0.588058 0.377922i
\(442\) −1.23645 + 8.59968i −0.0588118 + 0.409045i
\(443\) 34.5290 22.1904i 1.64052 1.05430i 0.700235 0.713912i \(-0.253078\pi\)
0.940286 0.340387i \(-0.110558\pi\)
\(444\) 4.11938 + 9.02019i 0.195497 + 0.428079i
\(445\) 2.15953 + 2.49223i 0.102372 + 0.118143i
\(446\) 0.772585 + 5.37344i 0.0365829 + 0.254440i
\(447\) −18.4990 + 40.5072i −0.874974 + 1.91593i
\(448\) 0.275462 0.0808831i 0.0130144 0.00382137i
\(449\) −32.5002 + 9.54291i −1.53378 + 0.450358i −0.936204 0.351456i \(-0.885687\pi\)
−0.597574 + 0.801814i \(0.703868\pi\)
\(450\) −0.881537 + 1.93030i −0.0415561 + 0.0909951i
\(451\) −1.69364 11.7795i −0.0797504 0.554676i
\(452\) 7.81798 + 9.02243i 0.367727 + 0.424379i
\(453\) −11.6883 25.5937i −0.549162 1.20250i
\(454\) 6.73341 4.32730i 0.316015 0.203090i
\(455\) 0.0710811 0.494380i 0.00333233 0.0231769i
\(456\) −9.69859 6.23291i −0.454178 0.291883i
\(457\) −16.4874 + 19.0275i −0.771250 + 0.890070i −0.996445 0.0842436i \(-0.973153\pi\)
0.225195 + 0.974314i \(0.427698\pi\)
\(458\) −24.9570 7.32802i −1.16616 0.342416i
\(459\) −9.92264 −0.463149
\(460\) −0.163703 + 4.79304i −0.00763270 + 0.223476i
\(461\) −14.7495 −0.686955 −0.343477 0.939161i \(-0.611605\pi\)
−0.343477 + 0.939161i \(0.611605\pi\)
\(462\) 0.920444 + 0.270267i 0.0428230 + 0.0125740i
\(463\) −24.9909 + 28.8411i −1.16143 + 1.34036i −0.231403 + 0.972858i \(0.574331\pi\)
−0.930024 + 0.367500i \(0.880214\pi\)
\(464\) −4.22251 2.71364i −0.196025 0.125978i
\(465\) 0.0137323 0.0955105i 0.000636822 0.00442919i
\(466\) −22.0198 + 14.1512i −1.02005 + 0.655544i
\(467\) −12.4494 27.2604i −0.576090 1.26146i −0.943491 0.331398i \(-0.892480\pi\)
0.367401 0.930063i \(-0.380248\pi\)
\(468\) −2.41764 2.79010i −0.111755 0.128972i
\(469\) −0.275921 1.91907i −0.0127408 0.0886145i
\(470\) −2.05880 + 4.50815i −0.0949655 + 0.207945i
\(471\) −33.9525 + 9.96935i −1.56445 + 0.459363i
\(472\) 5.23300 1.53655i 0.240868 0.0707253i
\(473\) 2.40436 5.26481i 0.110553 0.242076i
\(474\) −4.37218 30.4092i −0.200821 1.39674i
\(475\) 3.33586 + 3.84979i 0.153060 + 0.176641i
\(476\) 0.595586 + 1.30415i 0.0272987 + 0.0597757i
\(477\) −3.46259 + 2.22527i −0.158541 + 0.101888i
\(478\) −1.87996 + 13.0754i −0.0859874 + 0.598056i
\(479\) −7.24079 4.65337i −0.330840 0.212618i 0.364666 0.931138i \(-0.381183\pi\)
−0.695506 + 0.718521i \(0.744820\pi\)
\(480\) −1.48208 + 1.71041i −0.0676474 + 0.0780692i
\(481\) 7.31396 + 2.14757i 0.333488 + 0.0979209i
\(482\) −8.64367 −0.393708
\(483\) −2.87701 + 1.19695i −0.130908 + 0.0544633i
\(484\) −8.82016 −0.400916
\(485\) −4.64764 1.36467i −0.211038 0.0619664i
\(486\) 12.1964 14.0754i 0.553239 0.638471i
\(487\) 27.5730 + 17.7201i 1.24945 + 0.802974i 0.986804 0.161918i \(-0.0517681\pi\)
0.262647 + 0.964892i \(0.415404\pi\)
\(488\) 1.39606 9.70984i 0.0631969 0.439544i
\(489\) −27.7768 + 17.8511i −1.25611 + 0.807254i
\(490\) 2.87367 + 6.29245i 0.129819 + 0.284264i
\(491\) −22.6405 26.1285i −1.02175 1.17916i −0.983687 0.179888i \(-0.942426\pi\)
−0.0380640 0.999275i \(-0.512119\pi\)
\(492\) 2.59616 + 18.0567i 0.117044 + 0.814058i
\(493\) 10.4128 22.8009i 0.468970 1.02690i
\(494\) −8.50324 + 2.49678i −0.382579 + 0.112335i
\(495\) −3.00617 + 0.882690i −0.135117 + 0.0396740i
\(496\) 0.0177114 0.0387827i 0.000795267 0.00174139i
\(497\) 0.145693 + 1.01332i 0.00653522 + 0.0454534i
\(498\) 14.4634 + 16.6916i 0.648120 + 0.747970i
\(499\) 12.1606 + 26.6279i 0.544382 + 1.19203i 0.959356 + 0.282198i \(0.0910634\pi\)
−0.414974 + 0.909833i \(0.636209\pi\)
\(500\) 0.841254 0.540641i 0.0376220 0.0241782i
\(501\) 5.40857 37.6174i 0.241637 1.68062i
\(502\) −20.2982 13.0449i −0.905955 0.582222i
\(503\) 2.49220 2.87615i 0.111122 0.128241i −0.697464 0.716620i \(-0.745688\pi\)
0.808585 + 0.588379i \(0.200234\pi\)
\(504\) −0.584549 0.171639i −0.0260379 0.00764541i
\(505\) 12.9575 0.576600
\(506\) −5.50640 + 4.45151i −0.244789 + 0.197894i
\(507\) 22.5716 1.00244
\(508\) 17.2561 + 5.06685i 0.765616 + 0.224805i
\(509\) −20.1841 + 23.2936i −0.894642 + 1.03247i 0.104637 + 0.994511i \(0.466632\pi\)
−0.999279 + 0.0379618i \(0.987913\pi\)
\(510\) −9.50805 6.11045i −0.421023 0.270575i
\(511\) −0.477508 + 3.32114i −0.0211237 + 0.146919i
\(512\) −0.841254 + 0.540641i −0.0371785 + 0.0238932i
\(513\) −4.20462 9.20684i −0.185639 0.406492i
\(514\) −3.76427 4.34420i −0.166035 0.191614i
\(515\) −0.866930 6.02963i −0.0382015 0.265697i
\(516\) −3.68561 + 8.07036i −0.162250 + 0.355278i
\(517\) −7.02081 + 2.06150i −0.308775 + 0.0906645i
\(518\) 1.20695 0.354393i 0.0530304 0.0155711i
\(519\) 6.80540 14.9018i 0.298724 0.654114i
\(520\) 0.247590 + 1.72203i 0.0108576 + 0.0755159i
\(521\) −12.0177 13.8691i −0.526504 0.607618i 0.428744 0.903426i \(-0.358956\pi\)
−0.955247 + 0.295809i \(0.904411\pi\)
\(522\) 4.42471 + 9.68876i 0.193664 + 0.424065i
\(523\) 9.91339 6.37095i 0.433482 0.278582i −0.305648 0.952145i \(-0.598873\pi\)
0.739130 + 0.673562i \(0.235237\pi\)
\(524\) −0.517783 + 3.60126i −0.0226194 + 0.157322i
\(525\) 0.546600 + 0.351279i 0.0238556 + 0.0153311i
\(526\) 18.3440 21.1701i 0.799836 0.923060i
\(527\) 0.204294 + 0.0599861i 0.00889919 + 0.00261304i
\(528\) −3.34145 −0.145418
\(529\) 4.81891 22.4895i 0.209518 0.977805i
\(530\) 1.93961 0.0842515
\(531\) −11.1048 3.26065i −0.481906 0.141500i
\(532\) −0.957699 + 1.10524i −0.0415215 + 0.0479184i
\(533\) 11.7969 + 7.58142i 0.510981 + 0.328388i
\(534\) 1.06214 7.38736i 0.0459634 0.319683i
\(535\) −12.9072 + 8.29497i −0.558028 + 0.358623i
\(536\) 2.80541 + 6.14299i 0.121175 + 0.265337i
\(537\) 21.2198 + 24.4890i 0.915704 + 1.05678i
\(538\) 0.435992 + 3.03239i 0.0187969 + 0.130736i
\(539\) −4.24276 + 9.29036i −0.182749 + 0.400164i
\(540\) −1.90646 + 0.559786i −0.0820409 + 0.0240894i
\(541\) 20.6662 6.06815i 0.888511 0.260890i 0.194541 0.980894i \(-0.437678\pi\)
0.693970 + 0.720004i \(0.255860\pi\)
\(542\) −9.73167 + 21.3094i −0.418011 + 0.915317i
\(543\) −3.55384 24.7175i −0.152510 1.06073i
\(544\) −3.27033 3.77416i −0.140214 0.161816i
\(545\) 7.64583 + 16.7420i 0.327512 + 0.717150i
\(546\) −0.950941 + 0.611133i −0.0406965 + 0.0261541i
\(547\) −5.17715 + 36.0079i −0.221359 + 1.53959i 0.511547 + 0.859255i \(0.329073\pi\)
−0.732906 + 0.680330i \(0.761836\pi\)
\(548\) 0.554896 + 0.356610i 0.0237040 + 0.0152336i
\(549\) −13.6321 + 15.7323i −0.581804 + 0.671438i
\(550\) 1.41662 + 0.415958i 0.0604050 + 0.0177365i
\(551\) 25.5684 1.08925
\(552\) 8.44068 6.82366i 0.359259 0.290434i
\(553\) −3.89714 −0.165723
\(554\) 6.81508 + 2.00109i 0.289545 + 0.0850181i
\(555\) −6.49380 + 7.49424i −0.275646 + 0.318113i
\(556\) 0.402724 + 0.258815i 0.0170793 + 0.0109762i
\(557\) −4.21071 + 29.2861i −0.178413 + 1.24089i 0.682021 + 0.731332i \(0.261101\pi\)
−0.860435 + 0.509561i \(0.829808\pi\)
\(558\) −0.0761127 + 0.0489147i −0.00322211 + 0.00207072i
\(559\) 2.83316 + 6.20374i 0.119830 + 0.262390i
\(560\) 0.188005 + 0.216969i 0.00794466 + 0.00916863i
\(561\) −2.37480 16.5171i −0.100264 0.697353i
\(562\) −3.37426 + 7.38859i −0.142334 + 0.311669i
\(563\) 8.97795 2.63616i 0.378375 0.111101i −0.0870140 0.996207i \(-0.527732\pi\)
0.465389 + 0.885106i \(0.345914\pi\)
\(564\) 10.7621 3.16004i 0.453166 0.133062i
\(565\) −4.95938 + 10.8595i −0.208643 + 0.456864i
\(566\) 1.99738 + 13.8921i 0.0839563 + 0.583929i
\(567\) −2.04231 2.35695i −0.0857688 0.0989825i
\(568\) −1.48132 3.24364i −0.0621549 0.136100i
\(569\) 28.5864 18.3714i 1.19840 0.770168i 0.219725 0.975562i \(-0.429484\pi\)
0.978679 + 0.205394i \(0.0658477\pi\)
\(570\) 1.64071 11.4114i 0.0687218 0.477971i
\(571\) −7.30488 4.69456i −0.305700 0.196461i 0.378792 0.925482i \(-0.376340\pi\)
−0.684492 + 0.729020i \(0.739976\pi\)
\(572\) −1.68207 + 1.94122i −0.0703310 + 0.0811664i
\(573\) 28.4126 + 8.34269i 1.18695 + 0.348521i
\(574\) 2.31408 0.0965880
\(575\) −4.42790 + 1.84219i −0.184656 + 0.0768246i
\(576\) 2.12206 0.0884193
\(577\) 28.3197 + 8.31543i 1.17897 + 0.346176i 0.811775 0.583970i \(-0.198501\pi\)
0.367191 + 0.930146i \(0.380320\pi\)
\(578\) 5.19912 6.00011i 0.216255 0.249572i
\(579\) −5.95279 3.82562i −0.247389 0.158987i
\(580\) 0.714322 4.96822i 0.0296606 0.206294i
\(581\) 2.35693 1.51470i 0.0977818 0.0628405i
\(582\) 4.55402 + 9.97192i 0.188770 + 0.413349i
\(583\) 1.87533 + 2.16424i 0.0776681 + 0.0896338i
\(584\) −1.66326 11.5682i −0.0688262 0.478697i
\(585\) 1.53364 3.35821i 0.0634083 0.138845i
\(586\) 15.2982 4.49196i 0.631963 0.185561i
\(587\) −8.03553 + 2.35944i −0.331662 + 0.0973847i −0.443324 0.896362i \(-0.646201\pi\)
0.111662 + 0.993746i \(0.464383\pi\)
\(588\) 6.50367 14.2411i 0.268207 0.587291i
\(589\) 0.0309087 + 0.214975i 0.00127357 + 0.00885789i
\(590\) 3.57156 + 4.12180i 0.147039 + 0.169692i
\(591\) 24.6611 + 54.0003i 1.01442 + 2.22127i
\(592\) −3.68599 + 2.36884i −0.151493 + 0.0973588i
\(593\) 5.51166 38.3345i 0.226337 1.57421i −0.487010 0.873396i \(-0.661913\pi\)
0.713347 0.700811i \(-0.247178\pi\)
\(594\) −2.46789 1.58601i −0.101259 0.0650749i
\(595\) −0.938883 + 1.08353i −0.0384905 + 0.0444204i
\(596\) −18.8793 5.54346i −0.773327 0.227069i
\(597\) 7.21255 0.295190
\(598\) 0.284801 8.33862i 0.0116464 0.340992i
\(599\) −13.0692 −0.533994 −0.266997 0.963697i \(-0.586031\pi\)
−0.266997 + 0.963697i \(0.586031\pi\)
\(600\) −2.17152 0.637616i −0.0886520 0.0260306i
\(601\) −6.59637 + 7.61262i −0.269072 + 0.310525i −0.874165 0.485630i \(-0.838590\pi\)
0.605093 + 0.796155i \(0.293136\pi\)
\(602\) 0.946787 + 0.608463i 0.0385881 + 0.0247991i
\(603\) 2.03949 14.1850i 0.0830546 0.577658i
\(604\) 10.4586 6.72131i 0.425553 0.273486i
\(605\) −3.66403 8.02310i −0.148964 0.326185i
\(606\) −19.2040 22.1626i −0.780109 0.900294i
\(607\) −0.206928 1.43922i −0.00839895 0.0584160i 0.985191 0.171461i \(-0.0548487\pi\)
−0.993590 + 0.113045i \(0.963940\pi\)
\(608\) 2.11613 4.63367i 0.0858203 0.187920i
\(609\) 3.12917 0.918806i 0.126800 0.0372319i
\(610\) 9.41233 2.76371i 0.381094 0.111899i
\(611\) 3.58178 7.84299i 0.144903 0.317294i
\(612\) 1.50817 + 10.4896i 0.0609642 + 0.424015i
\(613\) −10.0895 11.6439i −0.407511 0.470293i 0.514481 0.857502i \(-0.327985\pi\)
−0.921992 + 0.387209i \(0.873439\pi\)
\(614\) −8.53875 18.6973i −0.344596 0.754560i
\(615\) −15.3464 + 9.86256i −0.618828 + 0.397697i
\(616\) −0.0603231 + 0.419556i −0.00243049 + 0.0169044i
\(617\) 16.1976 + 10.4096i 0.652091 + 0.419074i 0.824430 0.565964i \(-0.191496\pi\)
−0.172339 + 0.985038i \(0.555132\pi\)
\(618\) −9.02829 + 10.4192i −0.363171 + 0.419122i
\(619\) 19.1146 + 5.61255i 0.768281 + 0.225588i 0.642308 0.766446i \(-0.277977\pi\)
0.125972 + 0.992034i \(0.459795\pi\)
\(620\) 0.0426355 0.00171228
\(621\) 9.47284 1.03338i 0.380132 0.0414679i
\(622\) −8.60372 −0.344978
\(623\) −0.908391 0.266728i −0.0363939 0.0106862i
\(624\) 2.57843 2.97566i 0.103220 0.119122i
\(625\) 0.841254 + 0.540641i 0.0336501 + 0.0216256i
\(626\) −1.51140 + 10.5120i −0.0604078 + 0.420145i
\(627\) 14.3193 9.20245i 0.571857 0.367510i
\(628\) −6.49515 14.2224i −0.259185 0.567535i
\(629\) −14.3291 16.5366i −0.571338 0.659359i
\(630\) −0.0867020 0.603026i −0.00345429 0.0240251i
\(631\) 13.8396 30.3046i 0.550948 1.20641i −0.405390 0.914144i \(-0.632864\pi\)
0.956338 0.292263i \(-0.0944084\pi\)
\(632\) 13.0247 3.82439i 0.518094 0.152126i
\(633\) −56.2099 + 16.5047i −2.23414 + 0.656003i
\(634\) −7.83831 + 17.1635i −0.311299 + 0.681650i
\(635\) 2.55948 + 17.8016i 0.101570 + 0.706433i
\(636\) −2.87466 3.31754i −0.113988 0.131549i
\(637\) −4.99942 10.9472i −0.198084 0.433744i
\(638\) 6.23424 4.00650i 0.246816 0.158619i
\(639\) −1.07690 + 7.49002i −0.0426016 + 0.296300i
\(640\) −0.841254 0.540641i −0.0332535 0.0213707i
\(641\) 22.5523 26.0267i 0.890761 1.02799i −0.108663 0.994079i \(-0.534657\pi\)
0.999425 0.0339148i \(-0.0107975\pi\)
\(642\) 33.3173 + 9.78285i 1.31493 + 0.386098i
\(643\) −19.8518 −0.782880 −0.391440 0.920204i \(-0.628023\pi\)
−0.391440 + 0.920204i \(0.628023\pi\)
\(644\) −0.704407 1.18301i −0.0277575 0.0466171i
\(645\) −8.87212 −0.349339
\(646\) 24.4086 + 7.16702i 0.960344 + 0.281982i
\(647\) 8.58172 9.90383i 0.337382 0.389360i −0.561554 0.827440i \(-0.689796\pi\)
0.898936 + 0.438081i \(0.144342\pi\)
\(648\) 9.13857 + 5.87300i 0.358997 + 0.230713i
\(649\) −1.14597 + 7.97037i −0.0449831 + 0.312864i
\(650\) −1.46356 + 0.940573i −0.0574055 + 0.0368923i
\(651\) 0.0115079 + 0.0251988i 0.000451031 + 0.000987621i
\(652\) −9.55394 11.0258i −0.374161 0.431805i
\(653\) −4.87559 33.9105i −0.190796 1.32702i −0.829906 0.557903i \(-0.811606\pi\)
0.639110 0.769116i \(-0.279303\pi\)
\(654\) 17.3040 37.8905i 0.676641 1.48164i
\(655\) −3.49091 + 1.02502i −0.136401 + 0.0400510i
\(656\) −7.73393 + 2.27089i −0.301959 + 0.0886632i
\(657\) −10.3027 + 22.5597i −0.401946 + 0.880139i
\(658\) −0.202490 1.40835i −0.00789388 0.0549031i
\(659\) −31.0967 35.8875i −1.21136 1.39798i −0.893030 0.449998i \(-0.851425\pi\)
−0.318326 0.947981i \(-0.603121\pi\)
\(660\) −1.38809 3.03949i −0.0540313 0.118312i
\(661\) 6.69851 4.30487i 0.260542 0.167440i −0.403848 0.914826i \(-0.632328\pi\)
0.664390 + 0.747386i \(0.268691\pi\)
\(662\) 0.0695067 0.483430i 0.00270146 0.0187890i
\(663\) 16.5415 + 10.6306i 0.642419 + 0.412857i
\(664\) −6.39069 + 7.37525i −0.248007 + 0.286215i
\(665\) −1.40321 0.412019i −0.0544140 0.0159774i
\(666\) 9.29792 0.360287
\(667\) −7.56624 + 22.8517i −0.292966 + 0.884823i
\(668\) 16.7923 0.649713
\(669\) 11.7885 + 3.46143i 0.455771 + 0.133827i
\(670\) −4.42245 + 5.10378i −0.170854 + 0.197176i
\(671\) 12.1841 + 7.83027i 0.470364 + 0.302284i
\(672\) 0.0924684 0.643132i 0.00356705 0.0248093i
\(673\) −2.50205 + 1.60797i −0.0964469 + 0.0619827i −0.587975 0.808879i \(-0.700075\pi\)
0.491528 + 0.870862i \(0.336438\pi\)
\(674\) 14.7612 + 32.3226i 0.568582 + 1.24502i
\(675\) −1.30117 1.50163i −0.0500821 0.0577978i
\(676\) 1.41935 + 9.87180i 0.0545904 + 0.379685i
\(677\) 4.64476 10.1706i 0.178513 0.390888i −0.799131 0.601157i \(-0.794707\pi\)
0.977644 + 0.210269i \(0.0674339\pi\)
\(678\) 25.9245 7.61211i 0.995623 0.292341i
\(679\) 1.33430 0.391785i 0.0512057 0.0150353i
\(680\) 2.07455 4.54263i 0.0795554 0.174202i
\(681\) −2.57799 17.9303i −0.0987887 0.687090i
\(682\) 0.0412224 + 0.0475732i 0.00157849 + 0.00182167i
\(683\) −0.113633 0.248821i −0.00434804 0.00952089i 0.907446 0.420170i \(-0.138029\pi\)
−0.911794 + 0.410649i \(0.865302\pi\)
\(684\) −9.09379 + 5.84422i −0.347710 + 0.223459i
\(685\) −0.0938717 + 0.652892i −0.00358665 + 0.0249457i
\(686\) −3.36133 2.16020i −0.128336 0.0824767i
\(687\) −38.5497 + 44.4888i −1.47076 + 1.69735i
\(688\) −3.76137 1.10444i −0.143401 0.0421063i
\(689\) −3.37442 −0.128555
\(690\) 9.71341 + 4.84326i 0.369783 + 0.184380i
\(691\) 22.5420 0.857537 0.428768 0.903414i \(-0.358948\pi\)
0.428768 + 0.903414i \(0.358948\pi\)
\(692\) 6.94530 + 2.03932i 0.264021 + 0.0775235i
\(693\) 0.589035 0.679782i 0.0223756 0.0258228i
\(694\) −29.0041 18.6398i −1.10098 0.707558i
\(695\) −0.0681288 + 0.473846i −0.00258427 + 0.0179740i
\(696\) −9.55638 + 6.14151i −0.362234 + 0.232793i
\(697\) −16.7218 36.6156i −0.633383 1.38691i
\(698\) 6.57304 + 7.58570i 0.248793 + 0.287123i
\(699\) 8.43060 + 58.6361i 0.318875 + 2.21782i
\(700\) −0.119262 + 0.261148i −0.00450769 + 0.00987046i
\(701\) −36.2040 + 10.6304i −1.36740 + 0.401506i −0.881367 0.472432i \(-0.843376\pi\)
−0.486038 + 0.873938i \(0.661558\pi\)
\(702\) 3.31673 0.973881i 0.125182 0.0367568i
\(703\) 9.27190 20.3026i 0.349696 0.765728i
\(704\) −0.210118 1.46140i −0.00791911 0.0550786i
\(705\) 7.34521 + 8.47682i 0.276637 + 0.319256i
\(706\) 2.30662 + 5.05080i 0.0868108 + 0.190089i
\(707\) −3.12945 + 2.01117i −0.117695 + 0.0756380i
\(708\) 1.75664 12.2177i 0.0660184 0.459168i
\(709\) −20.3124 13.0540i −0.762850 0.490254i 0.100452 0.994942i \(-0.467971\pi\)
−0.863302 + 0.504688i \(0.831607\pi\)
\(710\) 2.33516 2.69492i 0.0876369 0.101138i
\(711\) −27.6392 8.11561i −1.03655 0.304359i
\(712\) 3.29769 0.123586
\(713\) −0.201280 0.0359911i −0.00753801 0.00134788i
\(714\) 3.24478 0.121433
\(715\) −2.46455 0.723658i −0.0921690 0.0270633i
\(716\) −9.37604 + 10.8205i −0.350399 + 0.404382i
\(717\) 25.1506 + 16.1633i 0.939266 + 0.603629i
\(718\) −1.36621 + 9.50222i −0.0509866 + 0.354620i
\(719\) 5.61225 3.60677i 0.209302 0.134510i −0.431791 0.901974i \(-0.642118\pi\)
0.641092 + 0.767464i \(0.278482\pi\)
\(720\) 0.881537 + 1.93030i 0.0328530 + 0.0719379i
\(721\) 1.14526 + 1.32170i 0.0426517 + 0.0492226i
\(722\) 0.988930 + 6.87816i 0.0368042 + 0.255979i
\(723\) −8.12648 + 17.7945i −0.302227 + 0.661785i
\(724\) 10.5869 3.10858i 0.393458 0.115530i
\(725\) 4.81599 1.41410i 0.178861 0.0525185i
\(726\) −8.29241 + 18.1579i −0.307760 + 0.673901i
\(727\) −5.27497 36.6882i −0.195638 1.36069i −0.816760 0.576977i \(-0.804232\pi\)
0.621122 0.783714i \(-0.286677\pi\)
\(728\) −0.327079 0.377470i −0.0121224 0.0139900i
\(729\) −3.97200 8.69747i −0.147111 0.322129i
\(730\) 9.83188 6.31857i 0.363894 0.233861i
\(731\) 2.78610 19.3778i 0.103048 0.716712i
\(732\) −18.6769 12.0029i −0.690318 0.443640i
\(733\) −18.2641 + 21.0779i −0.674601 + 0.778531i −0.985089 0.172046i \(-0.944962\pi\)
0.310488 + 0.950577i \(0.399508\pi\)
\(734\) 16.4012 + 4.81583i 0.605380 + 0.177756i
\(735\) 15.6558 0.577475
\(736\) 3.51513 + 3.26249i 0.129570 + 0.120257i
\(737\) −9.97072 −0.367276
\(738\) 16.4119 + 4.81897i 0.604130 + 0.177389i
\(739\) 25.6477 29.5990i 0.943465 1.08882i −0.0524588 0.998623i \(-0.516706\pi\)
0.995924 0.0901940i \(-0.0287487\pi\)
\(740\) −3.68599 2.36884i −0.135500 0.0870804i
\(741\) −2.85440 + 19.8528i −0.104859 + 0.729312i
\(742\) −0.468450 + 0.301054i −0.0171973 + 0.0110521i
\(743\) 7.23493 + 15.8423i 0.265424 + 0.581197i 0.994676 0.103047i \(-0.0328594\pi\)
−0.729253 + 0.684245i \(0.760132\pi\)
\(744\) −0.0631893 0.0729243i −0.00231663 0.00267353i
\(745\) −2.80023 19.4761i −0.102593 0.713548i
\(746\) 1.21564 2.66189i 0.0445078 0.0974586i
\(747\) 19.8700 5.83437i 0.727007 0.213468i
\(748\) 7.07451 2.07726i 0.258670 0.0759523i
\(749\) 1.82982 4.00675i 0.0668602 0.146403i
\(750\) −0.322087 2.24016i −0.0117609 0.0817991i
\(751\) 14.6481 + 16.9049i 0.534518 + 0.616867i 0.957206 0.289408i \(-0.0934586\pi\)
−0.422687 + 0.906276i \(0.638913\pi\)
\(752\) 2.05880 + 4.50815i 0.0750768 + 0.164395i
\(753\) −45.9389 + 29.5232i −1.67411 + 1.07588i
\(754\) −1.24273 + 8.64339i −0.0452576 + 0.314774i
\(755\) 10.4586 + 6.72131i 0.380626 + 0.244613i
\(756\) 0.373555 0.431106i 0.0135861 0.0156792i
\(757\) 27.6379 + 8.11522i 1.00452 + 0.294953i 0.742308 0.670058i \(-0.233731\pi\)
0.262209 + 0.965011i \(0.415549\pi\)
\(758\) 5.01053 0.181991
\(759\) 3.98730 + 15.5211i 0.144730 + 0.563379i
\(760\) 5.09401 0.184779
\(761\) 3.35853 + 0.986155i 0.121747 + 0.0357481i 0.342038 0.939686i \(-0.388883\pi\)
−0.220292 + 0.975434i \(0.570701\pi\)
\(762\) 26.6546 30.7611i 0.965595 1.11436i
\(763\) −4.44519 2.85675i −0.160927 0.103421i
\(764\) −1.86207 + 12.9510i −0.0673674 + 0.468551i
\(765\) −8.91512 + 5.72940i −0.322327 + 0.207147i
\(766\) −4.00117 8.76134i −0.144568 0.316560i
\(767\) −6.21357 7.17084i −0.224359 0.258924i
\(768\) 0.322087 + 2.24016i 0.0116223 + 0.0808349i
\(769\) 2.10006 4.59848i 0.0757299 0.165825i −0.867980 0.496598i \(-0.834582\pi\)
0.943710 + 0.330773i \(0.107309\pi\)
\(770\) −0.406701 + 0.119418i −0.0146565 + 0.00430353i
\(771\) −12.4823 + 3.66515i −0.449541 + 0.131997i
\(772\) 1.29883 2.84405i 0.0467460 0.102359i
\(773\) −1.80195 12.5328i −0.0648115 0.450774i −0.996225 0.0868106i \(-0.972333\pi\)
0.931413 0.363963i \(-0.118577\pi\)
\(774\) 5.44769 + 6.28697i 0.195813 + 0.225980i
\(775\) 0.0177114 + 0.0387827i 0.000636214 + 0.00139311i
\(776\) −4.07490 + 2.61878i −0.146281 + 0.0940088i
\(777\) 0.405154 2.81791i 0.0145348 0.101092i
\(778\) 3.48715 + 2.24106i 0.125020 + 0.0803458i
\(779\) 26.8885 31.0310i 0.963381 1.11180i
\(780\) 3.77788 + 1.10928i 0.135270 + 0.0397188i
\(781\) 5.26478 0.188389
\(782\) −13.6286 + 19.6943i −0.487356 + 0.704267i
\(783\) −9.97308 −0.356409
\(784\) 6.63737 + 1.94891i 0.237049 + 0.0696038i
\(785\) 10.2390 11.8164i 0.365444 0.421745i
\(786\) 6.92702 + 4.45173i 0.247079 + 0.158788i
\(787\) 5.32360 37.0265i 0.189766 1.31985i −0.642847 0.765995i \(-0.722247\pi\)
0.832613 0.553856i \(-0.186844\pi\)
\(788\) −22.0666 + 14.1813i −0.786089 + 0.505188i
\(789\) −26.3360 57.6678i −0.937586 2.05303i
\(790\) 8.88944 + 10.2590i 0.316272 + 0.364998i
\(791\) −0.487771 3.39252i −0.0173432 0.120624i
\(792\) −1.30153 + 2.84995i −0.0462478 + 0.101268i
\(793\) −16.3750 + 4.80813i −0.581492 + 0.170742i
\(794\) 33.2500 9.76307i 1.18000 0.346478i
\(795\) 1.82356 3.99304i 0.0646750 0.141619i
\(796\) 0.453541 + 3.15445i 0.0160753 + 0.111806i
\(797\) −31.0317 35.8124i −1.09920 1.26854i −0.960522 0.278204i \(-0.910261\pi\)
−0.138676 0.990338i \(-0.544285\pi\)
\(798\) 1.37494 + 3.01071i 0.0486725 + 0.106578i
\(799\) −20.8210 + 13.3808i −0.736594 + 0.473380i
\(800\) 0.142315 0.989821i 0.00503159 0.0349955i
\(801\) −5.88702 3.78336i −0.208008 0.133678i
\(802\) −11.6818 + 13.4815i −0.412499 + 0.476049i
\(803\) 16.5563 + 4.86138i 0.584261 + 0.171554i
\(804\) 15.2840 0.539024
\(805\) 0.783481 1.13219i 0.0276141 0.0399045i
\(806\) −0.0741746 −0.00261269
\(807\) 6.65261 + 1.95338i 0.234183 + 0.0687624i
\(808\) 8.48534 9.79261i 0.298513 0.344503i
\(809\) 17.9051 + 11.5069i 0.629509 + 0.404561i 0.816128 0.577871i \(-0.196116\pi\)
−0.186618 + 0.982432i \(0.559753\pi\)
\(810\) −1.54597 + 10.7525i −0.0543199 + 0.377803i
\(811\) −36.3358 + 23.3516i −1.27592 + 0.819985i −0.990379 0.138381i \(-0.955810\pi\)
−0.285543 + 0.958366i \(0.592174\pi\)
\(812\) 0.598614 + 1.31078i 0.0210072 + 0.0459994i
\(813\) 34.7198 + 40.0687i 1.21768 + 1.40527i
\(814\) −0.920641 6.40320i −0.0322684 0.224432i
\(815\) 6.06060 13.2709i 0.212294 0.464858i
\(816\) −10.8444 + 3.18421i −0.379631 + 0.111470i
\(817\) 19.1605 5.62602i 0.670340 0.196829i
\(818\) −8.55895 + 18.7415i −0.299257 + 0.655281i
\(819\) 0.150839 + 1.04911i 0.00527073 + 0.0366587i
\(820\) −5.27846 6.09167i −0.184332 0.212730i
\(821\) 20.9431 + 45.8590i 0.730920 + 1.60049i 0.797938 + 0.602739i \(0.205924\pi\)
−0.0670188 + 0.997752i \(0.521349\pi\)
\(822\) 1.25584 0.807079i 0.0438024 0.0281501i
\(823\) 2.43194 16.9145i 0.0847719 0.589602i −0.902516 0.430657i \(-0.858282\pi\)
0.987288 0.158945i \(-0.0508091\pi\)
\(824\) −5.12461 3.29339i −0.178524 0.114731i
\(825\) 2.18819 2.52530i 0.0761828 0.0879197i
\(826\) −1.50235 0.441130i −0.0522735 0.0153489i
\(827\) −36.5200 −1.26993 −0.634963 0.772543i \(-0.718985\pi\)
−0.634963 + 0.772543i \(0.718985\pi\)
\(828\) −2.53222 9.85700i −0.0880008 0.342554i
\(829\) −46.9819 −1.63175 −0.815874 0.578229i \(-0.803744\pi\)
−0.815874 + 0.578229i \(0.803744\pi\)
\(830\) −9.36355 2.74939i −0.325013 0.0954326i
\(831\) 10.5269 12.1487i 0.365174 0.421433i
\(832\) 1.46356 + 0.940573i 0.0507398 + 0.0326085i
\(833\) −4.91639 + 34.1942i −0.170343 + 1.18476i
\(834\) 0.911444 0.585750i 0.0315607 0.0202828i
\(835\) 6.97577 + 15.2748i 0.241406 + 0.528606i
\(836\) 4.92517 + 5.68395i 0.170340 + 0.196583i
\(837\) −0.0120561 0.0838521i −0.000416720 0.00289835i
\(838\) 15.5770 34.1088i 0.538097 1.17827i
\(839\) 52.9760 15.5552i 1.82894 0.537024i 0.829177 0.558986i \(-0.188809\pi\)
0.999759 + 0.0219620i \(0.00699128\pi\)
\(840\) 0.623426 0.183054i 0.0215102 0.00631598i
\(841\) −1.58129 + 3.46255i −0.0545274 + 0.119398i
\(842\) 0.314655 + 2.18847i 0.0108437 + 0.0754198i
\(843\) 12.0384 + 13.8930i 0.414623 + 0.478501i
\(844\) −10.7530 23.5458i −0.370134 0.810481i
\(845\) −8.39009 + 5.39198i −0.288628 + 0.185490i
\(846\) 1.49672 10.4099i 0.0514584 0.357901i
\(847\) 2.13022 + 1.36901i 0.0731951 + 0.0470396i
\(848\) 1.27018 1.46586i 0.0436181 0.0503379i
\(849\) 30.4772 + 8.94893i 1.04598 + 0.307126i
\(850\) 4.99392 0.171290
\(851\) 15.4017 + 14.2947i 0.527964 + 0.490018i
\(852\) −8.07030 −0.276484
\(853\) −5.78665 1.69912i −0.198131 0.0581766i 0.181161 0.983453i \(-0.442014\pi\)
−0.379293 + 0.925277i \(0.623833\pi\)
\(854\) −1.84427 + 2.12840i −0.0631097 + 0.0728325i
\(855\) −9.09379 5.84422i −0.311001 0.199868i
\(856\) −2.18351 + 15.1867i −0.0746310 + 0.519070i
\(857\) 2.16045 1.38844i 0.0737997 0.0474282i −0.503221 0.864158i \(-0.667852\pi\)
0.577020 + 0.816730i \(0.304215\pi\)
\(858\) 2.41491 + 5.28791i 0.0824436 + 0.180526i
\(859\) 7.64726 + 8.82541i 0.260921 + 0.301119i 0.871061 0.491175i \(-0.163432\pi\)
−0.610140 + 0.792294i \(0.708887\pi\)
\(860\) −0.557898 3.88027i −0.0190242 0.132316i
\(861\) 2.17562 4.76395i 0.0741450 0.162355i
\(862\) −4.03181 + 1.18385i −0.137324 + 0.0403220i
\(863\) −28.4413 + 8.35111i −0.968151 + 0.284275i −0.727325 0.686293i \(-0.759237\pi\)
−0.240827 + 0.970568i \(0.577418\pi\)
\(864\) −0.825406 + 1.80739i −0.0280809 + 0.0614885i
\(865\) 1.03015 + 7.16483i 0.0350261 + 0.243612i
\(866\) 2.68160 + 3.09474i 0.0911246 + 0.105163i
\(867\) −7.46425 16.3444i −0.253499 0.555085i
\(868\) −0.0102972 + 0.00661761i −0.000349510 + 0.000224616i
\(869\) −2.85226 + 19.8379i −0.0967562 + 0.672954i
\(870\) −9.55638 6.14151i −0.323992 0.208217i
\(871\) 7.69389 8.87923i 0.260698 0.300861i
\(872\) 17.6597 + 5.18537i 0.598034 + 0.175599i
\(873\) 10.2790 0.347890
\(874\) −24.0486 4.30014i −0.813455 0.145454i
\(875\) −0.287092 −0.00970547
\(876\) −25.3790 7.45194i −0.857476 0.251778i
\(877\) 4.68313 5.40462i 0.158138 0.182501i −0.671151 0.741320i \(-0.734200\pi\)
0.829290 + 0.558819i \(0.188745\pi\)
\(878\) 0.561730 + 0.361002i 0.0189575 + 0.0121832i
\(879\) 5.13537 35.7173i 0.173212 1.20471i
\(880\) 1.24205 0.798218i 0.0418695 0.0269079i
\(881\) 5.77365 + 12.6425i 0.194519 + 0.425937i 0.981609 0.190900i \(-0.0611407\pi\)
−0.787090 + 0.616838i \(0.788413\pi\)
\(882\) −9.61306 11.0941i −0.323688 0.373556i
\(883\) 1.82679 + 12.7056i 0.0614764 + 0.427578i 0.997196 + 0.0748333i \(0.0238425\pi\)
−0.935720 + 0.352745i \(0.885248\pi\)
\(884\) −3.60917 + 7.90299i −0.121390 + 0.265806i
\(885\) 11.8433 3.47751i 0.398109 0.116895i
\(886\) 39.3821 11.5636i 1.32307 0.388487i
\(887\) −12.1678 + 26.6437i −0.408553 + 0.894607i 0.587778 + 0.809023i \(0.300003\pi\)
−0.996331 + 0.0855845i \(0.972724\pi\)
\(888\) 1.41124 + 9.81537i 0.0473580 + 0.329382i
\(889\) −3.38120 3.90211i −0.113402 0.130873i
\(890\) 1.36991 + 2.99969i 0.0459195 + 0.100550i
\(891\) −13.4925 + 8.67107i −0.452014 + 0.290492i
\(892\) −0.772585 + 5.37344i −0.0258680 + 0.179916i
\(893\) −21.2383 13.6490i −0.710711 0.456746i
\(894\) −29.1619 + 33.6546i −0.975320 + 1.12558i
\(895\) −13.7377 4.03374i −0.459199 0.134833i
\(896\) 0.287092 0.00959106
\(897\) −16.8988 8.42600i −0.564233 0.281336i
\(898\) −33.8722 −1.13033
\(899\) 0.205332 + 0.0602910i 0.00684822 + 0.00201082i
\(900\) −1.38966 + 1.60375i −0.0463219 + 0.0534583i
\(901\) 8.14863 + 5.23680i 0.271470 + 0.174463i
\(902\) 1.69364 11.7795i 0.0563921 0.392215i
\(903\) 2.14277 1.37707i 0.0713068 0.0458261i
\(904\) 4.95938 + 10.8595i 0.164947 + 0.361183i
\(905\) 7.22561 + 8.33880i 0.240187 + 0.277191i
\(906\) −4.00422 27.8499i −0.133031 0.925252i
\(907\) 11.6801 25.5758i 0.387831 0.849230i −0.610530 0.791993i \(-0.709044\pi\)
0.998361 0.0572373i \(-0.0182292\pi\)
\(908\) 7.67980 2.25499i 0.254863 0.0748346i
\(909\) −26.3828 + 7.74669i −0.875062 + 0.256941i
\(910\) 0.207485 0.454328i 0.00687805 0.0150608i
\(911\) −4.97570 34.6068i −0.164852 1.14657i −0.889327 0.457272i \(-0.848827\pi\)
0.724475 0.689301i \(-0.242082\pi\)
\(912\) −7.54972 8.71284i −0.249996 0.288511i
\(913\) −5.98540 13.1062i −0.198088 0.433752i
\(914\) −21.1803 + 13.6117i −0.700581 + 0.450236i
\(915\) 3.15957 21.9753i 0.104452 0.726481i
\(916\) −21.8815 14.0624i −0.722985 0.464634i
\(917\) 0.684017 0.789398i 0.0225882 0.0260682i
\(918\) −9.52070 2.79553i −0.314230 0.0922663i
\(919\) −15.5315 −0.512337 −0.256168 0.966632i \(-0.582460\pi\)
−0.256168 + 0.966632i \(0.582460\pi\)
\(920\) −1.50743 + 4.55276i −0.0496984 + 0.150100i
\(921\) −46.5194 −1.53287
\(922\) −14.1521 4.15543i −0.466074 0.136852i
\(923\) −4.06256 + 4.68844i −0.133721 + 0.154322i
\(924\) 0.807017 + 0.518638i 0.0265489 + 0.0170619i
\(925\) 0.623559 4.33695i 0.0205025 0.142598i
\(926\) −32.1041 + 20.6320i −1.05501 + 0.678011i
\(927\) 5.37000 + 11.7587i 0.176374 + 0.386205i
\(928\) −3.28695 3.79334i −0.107899 0.124522i
\(929\) −3.24837 22.5929i −0.106576 0.741249i −0.971103 0.238663i \(-0.923291\pi\)
0.864527 0.502586i \(-0.167618\pi\)
\(930\) 0.0400845 0.0877728i 0.00131442 0.00287818i
\(931\) −33.8108 + 9.92774i −1.10810 + 0.325369i
\(932\) −25.1147 + 7.37433i −0.822658 + 0.241554i
\(933\) −8.08893 + 17.7123i −0.264820 + 0.579874i
\(934\) −4.26498 29.6636i −0.139554 0.970621i
\(935\) 4.82840 + 5.57228i 0.157906 + 0.182233i
\(936\) −1.53364 3.35821i −0.0501287 0.109766i
\(937\) −41.0486 + 26.3803i −1.34100 + 0.861807i −0.997018 0.0771700i \(-0.975412\pi\)
−0.343980 + 0.938977i \(0.611775\pi\)
\(938\) 0.275921 1.91907i 0.00900914 0.0626599i
\(939\) 20.2199 + 12.9945i 0.659852 + 0.424061i
\(940\) −3.24550 + 3.74551i −0.105857 + 0.122165i
\(941\) 57.0996 + 16.7659i 1.86139 + 0.546554i 0.999201 + 0.0399732i \(0.0127273\pi\)
0.862192 + 0.506581i \(0.169091\pi\)
\(942\) −35.3858 −1.15293
\(943\) 19.7770 + 33.2143i 0.644029 + 1.08161i
\(944\) 5.45392 0.177510
\(945\) 0.547328 + 0.160710i 0.0178046 + 0.00522790i
\(946\) 3.79024 4.37417i 0.123231 0.142216i
\(947\) 9.70717 + 6.23842i 0.315441 + 0.202721i 0.688775 0.724976i \(-0.258149\pi\)
−0.373334 + 0.927697i \(0.621785\pi\)
\(948\) 4.37218 30.4092i 0.142002 0.987645i
\(949\) −17.1049 + 10.9926i −0.555248 + 0.356836i
\(950\) 2.11613 + 4.63367i 0.0686562 + 0.150336i
\(951\) 27.9648 + 32.2731i 0.906821 + 1.04653i
\(952\) 0.204039 + 1.41912i 0.00661294 + 0.0459940i
\(953\) −4.81818 + 10.5503i −0.156076 + 0.341759i −0.971476 0.237140i \(-0.923790\pi\)
0.815399 + 0.578899i \(0.196517\pi\)
\(954\) −3.94926 + 1.15961i −0.127862 + 0.0375437i
\(955\) −12.5542 + 3.68624i −0.406244 + 0.119284i
\(956\) −5.48758 + 12.0161i −0.177481 + 0.388629i
\(957\) −2.38687 16.6011i −0.0771566 0.536636i
\(958\) −5.63648 6.50484i −0.182106 0.210162i
\(959\) −0.0786660 0.172255i −0.00254026 0.00556239i
\(960\) −1.90392 + 1.22358i −0.0614489 + 0.0394908i
\(961\) 4.41150 30.6827i 0.142306 0.989763i
\(962\) 6.41265 + 4.12116i 0.206752 + 0.132872i
\(963\) 21.3213 24.6061i 0.687069 0.792920i
\(964\) −8.29354 2.43520i −0.267117 0.0784326i
\(965\) 3.12659 0.100648
\(966\) −3.09769 + 0.337922i −0.0996666 + 0.0108724i
\(967\) −13.6713 −0.439641 −0.219820 0.975540i \(-0.570547\pi\)
−0.219820 + 0.975540i \(0.570547\pi\)
\(968\) −8.46288 2.48493i −0.272007 0.0798685i
\(969\) 37.7027 43.5113i 1.21119 1.39778i
\(970\) −4.07490 2.61878i −0.130837 0.0840840i
\(971\) −6.87691 + 47.8300i −0.220691 + 1.53494i 0.514745 + 0.857343i \(0.327886\pi\)
−0.735436 + 0.677594i \(0.763023\pi\)
\(972\) 15.6678 10.0691i 0.502546 0.322966i
\(973\) −0.0570931 0.125016i −0.00183032 0.00400784i
\(974\) 21.4638 + 24.7705i 0.687743 + 0.793698i
\(975\) 0.560346 + 3.89729i 0.0179454 + 0.124813i
\(976\) 4.07509 8.92321i 0.130441 0.285625i
\(977\) 5.08611 1.49342i 0.162719 0.0477786i −0.199358 0.979927i \(-0.563886\pi\)
0.362077 + 0.932148i \(0.382068\pi\)
\(978\) −31.6809 + 9.30236i −1.01304 + 0.297457i
\(979\) −2.02258 + 4.42883i −0.0646418 + 0.141546i
\(980\) 0.984474 + 6.84717i 0.0314479 + 0.218725i
\(981\) −25.5770 29.5175i −0.816612 0.942420i
\(982\) −14.3621 31.4487i −0.458314 1.00357i
\(983\) −3.84425 + 2.47055i −0.122613 + 0.0787983i −0.600510 0.799618i \(-0.705036\pi\)
0.477897 + 0.878416i \(0.341399\pi\)
\(984\) −2.59616 + 18.0567i −0.0827625 + 0.575626i
\(985\) −22.0666 14.1813i −0.703099 0.451854i
\(986\) 16.4148 18.9437i 0.522753 0.603289i
\(987\) −3.08971 0.907221i −0.0983465 0.0288771i
\(988\) −8.86223 −0.281945
\(989\) −0.641744 + 18.7895i −0.0204063 + 0.597472i
\(990\) −3.13308 −0.0995757
\(991\) −21.8606 6.41884i −0.694423 0.203901i −0.0845725 0.996417i \(-0.526952\pi\)
−0.609851 + 0.792516i \(0.708771\pi\)
\(992\) 0.0279203 0.0322218i 0.000886472 0.00102304i
\(993\) −0.929878 0.597597i −0.0295088 0.0189642i
\(994\) −0.145693 + 1.01332i −0.00462110 + 0.0321404i
\(995\) −2.68098 + 1.72296i −0.0849927 + 0.0546215i
\(996\) 9.17494 + 20.0903i 0.290719 + 0.636586i
\(997\) 0.469651 + 0.542007i 0.0148740 + 0.0171655i 0.763138 0.646236i \(-0.223658\pi\)
−0.748264 + 0.663401i \(0.769112\pi\)
\(998\) 4.16603 + 28.9754i 0.131873 + 0.917199i
\(999\) −3.61655 + 7.91915i −0.114423 + 0.250551i
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 230.2.g.b.41.2 20
23.3 even 11 5290.2.a.bj.1.2 10
23.9 even 11 inner 230.2.g.b.101.2 yes 20
23.20 odd 22 5290.2.a.bi.1.2 10
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
230.2.g.b.41.2 20 1.1 even 1 trivial
230.2.g.b.101.2 yes 20 23.9 even 11 inner
5290.2.a.bi.1.2 10 23.20 odd 22
5290.2.a.bj.1.2 10 23.3 even 11