Properties

Label 177.2.e.b.163.3
Level $177$
Weight $2$
Character 177.163
Analytic conductor $1.413$
Analytic rank $0$
Dimension $140$
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] = [177,2,Mod(4,177)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(177, base_ring=CyclotomicField(58))
 
chi = DirichletCharacter(H, H._module([0, 2]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("177.4");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 177 = 3 \cdot 59 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 177.e (of order \(29\), degree \(28\), 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: \(1.41335211578\)
Analytic rank: \(0\)
Dimension: \(140\)
Relative dimension: \(5\) over \(\Q(\zeta_{29})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{29}]$

Embedding invariants

Embedding label 163.3
Character \(\chi\) \(=\) 177.163
Dual form 177.2.e.b.139.3

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(0.183344 - 0.110315i) q^{2} +(0.370138 + 0.928977i) q^{3} +(-0.915371 + 1.72657i) q^{4} +(-4.31685 + 0.469486i) q^{5} +(0.170342 + 0.129491i) q^{6} +(2.04860 - 0.690253i) q^{7} +(0.0458067 + 0.844855i) q^{8} +(-0.725995 + 0.687699i) q^{9} +O(q^{10})\) \(q+(0.183344 - 0.110315i) q^{2} +(0.370138 + 0.928977i) q^{3} +(-0.915371 + 1.72657i) q^{4} +(-4.31685 + 0.469486i) q^{5} +(0.170342 + 0.129491i) q^{6} +(2.04860 - 0.690253i) q^{7} +(0.0458067 + 0.844855i) q^{8} +(-0.725995 + 0.687699i) q^{9} +(-0.739679 + 0.562289i) q^{10} +(-2.75585 + 4.06457i) q^{11} +(-1.94276 - 0.211288i) q^{12} +(0.125570 + 0.118947i) q^{13} +(0.299454 - 0.352544i) q^{14} +(-2.03397 - 3.83648i) q^{15} +(-2.09176 - 3.08512i) q^{16} +(6.32648 + 2.13164i) q^{17} +(-0.0572438 + 0.206174i) q^{18} +(0.309375 + 1.88710i) q^{19} +(3.14092 - 7.88311i) q^{20} +(1.39949 + 1.64761i) q^{21} +(-0.0568874 + 1.04923i) q^{22} +(-0.787649 - 2.83686i) q^{23} +(-0.767895 + 0.355266i) q^{24} +(13.5317 - 2.97855i) q^{25} +(0.0361442 + 0.00795594i) q^{26} +(-0.907575 - 0.419889i) q^{27} +(-0.683456 + 4.16889i) q^{28} +(2.05174 + 1.23449i) q^{29} +(-0.796137 - 0.479020i) q^{30} +(-0.933639 + 5.69495i) q^{31} +(-2.25964 - 1.04542i) q^{32} +(-4.79593 - 1.05567i) q^{33} +(1.39508 - 0.307079i) q^{34} +(-8.51943 + 3.94151i) q^{35} +(-0.522808 - 1.88298i) q^{36} +(0.237912 - 4.38804i) q^{37} +(0.264897 + 0.311861i) q^{38} +(-0.0640203 + 0.160679i) q^{39} +(-0.594388 - 3.62560i) q^{40} +(-0.159931 + 0.576019i) q^{41} +(0.438345 + 0.147696i) q^{42} +(2.72864 + 4.02444i) q^{43} +(-4.49515 - 8.47876i) q^{44} +(2.81115 - 3.30954i) q^{45} +(-0.457358 - 0.433232i) q^{46} +(10.0745 + 1.09567i) q^{47} +(2.09176 - 3.08512i) q^{48} +(-1.85234 + 1.40811i) q^{49} +(2.15238 - 2.03884i) q^{50} +(0.361429 + 6.66616i) q^{51} +(-0.320314 + 0.107926i) q^{52} +(-5.89657 - 4.48245i) q^{53} +(-0.212719 + 0.0231346i) q^{54} +(9.98832 - 18.8400i) q^{55} +(0.677003 + 1.69915i) q^{56} +(-1.63856 + 0.985890i) q^{57} +0.512357 q^{58} +(-3.76778 - 6.69357i) q^{59} +8.48580 q^{60} +(-7.62235 + 4.58622i) q^{61} +(0.457059 + 1.14713i) q^{62} +(-1.01259 + 1.90994i) q^{63} +(6.88146 - 0.748404i) q^{64} +(-0.597913 - 0.454521i) q^{65} +(-0.995763 + 0.335512i) q^{66} +(0.298948 + 5.51377i) q^{67} +(-9.47151 + 8.97189i) q^{68} +(2.34383 - 1.78174i) q^{69} +(-1.12718 + 1.66247i) q^{70} +(-1.94707 - 0.211757i) q^{71} +(-0.614261 - 0.581859i) q^{72} +(-8.10425 + 9.54106i) q^{73} +(-0.440445 - 0.830767i) q^{74} +(7.77559 + 11.4681i) q^{75} +(-3.54141 - 1.19324i) q^{76} +(-2.84004 + 10.2289i) q^{77} +(0.00598746 + 0.0365219i) q^{78} +(2.36954 - 5.94711i) q^{79} +(10.4782 + 12.3359i) q^{80} +(0.0541389 - 0.998533i) q^{81} +(0.0342209 + 0.123253i) q^{82} +(5.01169 - 2.31865i) q^{83} +(-4.12578 + 0.908153i) q^{84} +(-28.3113 - 6.23178i) q^{85} +(0.944235 + 0.436850i) q^{86} +(-0.387386 + 2.36295i) q^{87} +(-3.56021 - 2.14211i) q^{88} +(10.0893 + 6.07055i) q^{89} +(0.150317 - 0.916896i) q^{90} +(0.339347 + 0.156999i) q^{91} +(5.61903 + 1.23684i) q^{92} +(-5.63605 + 1.24059i) q^{93} +(1.96797 - 0.910480i) q^{94} +(-2.22149 - 8.00108i) q^{95} +(0.134792 - 2.48610i) q^{96} +(-5.74703 - 6.76592i) q^{97} +(-0.184281 + 0.462510i) q^{98} +(-0.794470 - 4.84605i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 140 q + q^{2} + 5 q^{3} - q^{4} + 2 q^{5} - q^{6} - 2 q^{7} - 3 q^{8} - 5 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 140 q + q^{2} + 5 q^{3} - q^{4} + 2 q^{5} - q^{6} - 2 q^{7} - 3 q^{8} - 5 q^{9} - 116 q^{10} + 2 q^{11} + q^{12} + 4 q^{13} - 43 q^{14} - 2 q^{15} + 7 q^{16} + q^{18} - 2 q^{19} + 4 q^{20} - 27 q^{21} + 6 q^{22} + 6 q^{23} + 3 q^{24} - 57 q^{25} + 12 q^{26} + 5 q^{27} - 10 q^{28} - 4 q^{29} - 12 q^{31} - 150 q^{32} - 2 q^{33} - 2 q^{34} + 6 q^{35} - q^{36} + 12 q^{37} - 12 q^{38} - 4 q^{39} - 66 q^{40} - 4 q^{41} + 14 q^{42} - 60 q^{43} + 20 q^{44} + 2 q^{45} + 76 q^{46} - 25 q^{47} - 7 q^{48} + 31 q^{49} + 137 q^{50} + 118 q^{52} + 48 q^{53} - q^{54} + 93 q^{55} + 228 q^{56} + 2 q^{57} - 120 q^{58} + 57 q^{59} - 4 q^{60} + 72 q^{61} - 179 q^{62} - 2 q^{63} + 249 q^{64} - 39 q^{65} - 6 q^{66} + 40 q^{67} + 94 q^{68} - 64 q^{69} + 94 q^{70} + 30 q^{71} - 3 q^{72} - 205 q^{73} + 66 q^{74} - q^{75} - 216 q^{76} - 46 q^{77} - 12 q^{78} + 4 q^{79} - 356 q^{80} - 5 q^{81} - 28 q^{82} + 4 q^{83} - 135 q^{84} + 50 q^{85} - 18 q^{86} - 54 q^{87} - 162 q^{88} + 26 q^{89} - 198 q^{91} + 10 q^{92} + 12 q^{93} - 4 q^{94} - 326 q^{95} + 5 q^{96} - 20 q^{97} - 143 q^{98} + 2 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/177\mathbb{Z}\right)^\times\).

\(n\) \(61\) \(119\)
\(\chi(n)\) \(e\left(\frac{24}{29}\right)\) \(1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.183344 0.110315i 0.129644 0.0780042i −0.449254 0.893404i \(-0.648310\pi\)
0.578898 + 0.815400i \(0.303483\pi\)
\(3\) 0.370138 + 0.928977i 0.213699 + 0.536345i
\(4\) −0.915371 + 1.72657i −0.457686 + 0.863286i
\(5\) −4.31685 + 0.469486i −1.93055 + 0.209960i −0.991140 0.132824i \(-0.957595\pi\)
−0.939414 + 0.342784i \(0.888630\pi\)
\(6\) 0.170342 + 0.129491i 0.0695420 + 0.0528645i
\(7\) 2.04860 0.690253i 0.774298 0.260891i 0.0957087 0.995409i \(-0.469488\pi\)
0.678589 + 0.734518i \(0.262592\pi\)
\(8\) 0.0458067 + 0.844855i 0.0161951 + 0.298701i
\(9\) −0.725995 + 0.687699i −0.241998 + 0.229233i
\(10\) −0.739679 + 0.562289i −0.233907 + 0.177811i
\(11\) −2.75585 + 4.06457i −0.830919 + 1.22551i 0.140956 + 0.990016i \(0.454982\pi\)
−0.971875 + 0.235498i \(0.924328\pi\)
\(12\) −1.94276 0.211288i −0.560826 0.0609936i
\(13\) 0.125570 + 0.118947i 0.0348270 + 0.0329899i 0.704915 0.709292i \(-0.250985\pi\)
−0.670088 + 0.742282i \(0.733744\pi\)
\(14\) 0.299454 0.352544i 0.0800324 0.0942215i
\(15\) −2.03397 3.83648i −0.525169 0.990574i
\(16\) −2.09176 3.08512i −0.522941 0.771280i
\(17\) 6.32648 + 2.13164i 1.53440 + 0.516999i 0.954633 0.297785i \(-0.0962479\pi\)
0.579765 + 0.814784i \(0.303144\pi\)
\(18\) −0.0572438 + 0.206174i −0.0134925 + 0.0485956i
\(19\) 0.309375 + 1.88710i 0.0709754 + 0.432931i 0.998280 + 0.0586235i \(0.0186712\pi\)
−0.927305 + 0.374307i \(0.877881\pi\)
\(20\) 3.14092 7.88311i 0.702331 1.76272i
\(21\) 1.39949 + 1.64761i 0.305395 + 0.359538i
\(22\) −0.0568874 + 1.04923i −0.0121284 + 0.223696i
\(23\) −0.787649 2.83686i −0.164236 0.591525i −0.999153 0.0411492i \(-0.986898\pi\)
0.834917 0.550376i \(-0.185516\pi\)
\(24\) −0.767895 + 0.355266i −0.156746 + 0.0725184i
\(25\) 13.5317 2.97855i 2.70633 0.595709i
\(26\) 0.0361442 + 0.00795594i 0.00708846 + 0.00156029i
\(27\) −0.907575 0.419889i −0.174663 0.0808077i
\(28\) −0.683456 + 4.16889i −0.129161 + 0.787847i
\(29\) 2.05174 + 1.23449i 0.380998 + 0.229239i 0.693150 0.720793i \(-0.256222\pi\)
−0.312152 + 0.950032i \(0.601050\pi\)
\(30\) −0.796137 0.479020i −0.145354 0.0874566i
\(31\) −0.933639 + 5.69495i −0.167687 + 1.02284i 0.760120 + 0.649782i \(0.225140\pi\)
−0.927807 + 0.373061i \(0.878308\pi\)
\(32\) −2.25964 1.04542i −0.399451 0.184806i
\(33\) −4.79593 1.05567i −0.834865 0.183768i
\(34\) 1.39508 0.307079i 0.239254 0.0526637i
\(35\) −8.51943 + 3.94151i −1.44005 + 0.666236i
\(36\) −0.522808 1.88298i −0.0871347 0.313831i
\(37\) 0.237912 4.38804i 0.0391126 0.721389i −0.911555 0.411178i \(-0.865118\pi\)
0.950668 0.310211i \(-0.100400\pi\)
\(38\) 0.264897 + 0.311861i 0.0429720 + 0.0505905i
\(39\) −0.0640203 + 0.160679i −0.0102514 + 0.0257292i
\(40\) −0.594388 3.62560i −0.0939809 0.573258i
\(41\) −0.159931 + 0.576019i −0.0249770 + 0.0899591i −0.974988 0.222257i \(-0.928658\pi\)
0.950011 + 0.312216i \(0.101071\pi\)
\(42\) 0.438345 + 0.147696i 0.0676381 + 0.0227899i
\(43\) 2.72864 + 4.02444i 0.416114 + 0.613722i 0.976761 0.214333i \(-0.0687579\pi\)
−0.560647 + 0.828055i \(0.689448\pi\)
\(44\) −4.49515 8.47876i −0.677670 1.27822i
\(45\) 2.81115 3.30954i 0.419061 0.493357i
\(46\) −0.457358 0.433232i −0.0674337 0.0638766i
\(47\) 10.0745 + 1.09567i 1.46952 + 0.159820i 0.807588 0.589747i \(-0.200773\pi\)
0.661929 + 0.749567i \(0.269738\pi\)
\(48\) 2.09176 3.08512i 0.301920 0.445299i
\(49\) −1.85234 + 1.40811i −0.264620 + 0.201159i
\(50\) 2.15238 2.03884i 0.304392 0.288336i
\(51\) 0.361429 + 6.66616i 0.0506101 + 0.933449i
\(52\) −0.320314 + 0.107926i −0.0444195 + 0.0149667i
\(53\) −5.89657 4.48245i −0.809956 0.615712i 0.116041 0.993244i \(-0.462980\pi\)
−0.925996 + 0.377532i \(0.876773\pi\)
\(54\) −0.212719 + 0.0231346i −0.0289473 + 0.00314821i
\(55\) 9.98832 18.8400i 1.34682 2.54038i
\(56\) 0.677003 + 1.69915i 0.0904684 + 0.227059i
\(57\) −1.63856 + 0.985890i −0.217033 + 0.130584i
\(58\) 0.512357 0.0672758
\(59\) −3.76778 6.69357i −0.490523 0.871428i
\(60\) 8.48580 1.09551
\(61\) −7.62235 + 4.58622i −0.975942 + 0.587205i −0.911756 0.410733i \(-0.865273\pi\)
−0.0641866 + 0.997938i \(0.520445\pi\)
\(62\) 0.457059 + 1.14713i 0.0580465 + 0.145686i
\(63\) −1.01259 + 1.90994i −0.127574 + 0.240630i
\(64\) 6.88146 0.748404i 0.860183 0.0935505i
\(65\) −0.597913 0.454521i −0.0741619 0.0563764i
\(66\) −0.995763 + 0.335512i −0.122570 + 0.0412986i
\(67\) 0.298948 + 5.51377i 0.0365223 + 0.673615i 0.958277 + 0.285841i \(0.0922729\pi\)
−0.921755 + 0.387773i \(0.873244\pi\)
\(68\) −9.47151 + 8.97189i −1.14859 + 1.08800i
\(69\) 2.34383 1.78174i 0.282164 0.214496i
\(70\) −1.12718 + 1.66247i −0.134724 + 0.198703i
\(71\) −1.94707 0.211757i −0.231075 0.0251309i −0.00815113 0.999967i \(-0.502595\pi\)
−0.222924 + 0.974836i \(0.571560\pi\)
\(72\) −0.614261 0.581859i −0.0723914 0.0685728i
\(73\) −8.10425 + 9.54106i −0.948530 + 1.11670i 0.0445203 + 0.999008i \(0.485824\pi\)
−0.993051 + 0.117688i \(0.962452\pi\)
\(74\) −0.440445 0.830767i −0.0512007 0.0965747i
\(75\) 7.77559 + 11.4681i 0.897847 + 1.32423i
\(76\) −3.54141 1.19324i −0.406228 0.136874i
\(77\) −2.84004 + 10.2289i −0.323653 + 1.16569i
\(78\) 0.00598746 + 0.0365219i 0.000677947 + 0.00413529i
\(79\) 2.36954 5.94711i 0.266594 0.669102i −0.733348 0.679854i \(-0.762043\pi\)
0.999942 + 0.0107521i \(0.00342256\pi\)
\(80\) 10.4782 + 12.3359i 1.17150 + 1.37920i
\(81\) 0.0541389 0.998533i 0.00601543 0.110948i
\(82\) 0.0342209 + 0.123253i 0.00377907 + 0.0136110i
\(83\) 5.01169 2.31865i 0.550104 0.254505i −0.125090 0.992145i \(-0.539922\pi\)
0.675194 + 0.737640i \(0.264060\pi\)
\(84\) −4.12578 + 0.908153i −0.450159 + 0.0990876i
\(85\) −28.3113 6.23178i −3.07079 0.675931i
\(86\) 0.944235 + 0.436850i 0.101819 + 0.0471067i
\(87\) −0.387386 + 2.36295i −0.0415321 + 0.253335i
\(88\) −3.56021 2.14211i −0.379519 0.228349i
\(89\) 10.0893 + 6.07055i 1.06947 + 0.643477i 0.937574 0.347787i \(-0.113067\pi\)
0.131893 + 0.991264i \(0.457894\pi\)
\(90\) 0.150317 0.916896i 0.0158449 0.0966493i
\(91\) 0.339347 + 0.156999i 0.0355732 + 0.0164579i
\(92\) 5.61903 + 1.23684i 0.585824 + 0.128950i
\(93\) −5.63605 + 1.24059i −0.584431 + 0.128643i
\(94\) 1.96797 0.910480i 0.202981 0.0939088i
\(95\) −2.22149 8.00108i −0.227920 0.820894i
\(96\) 0.134792 2.48610i 0.0137572 0.253737i
\(97\) −5.74703 6.76592i −0.583522 0.686975i 0.388612 0.921402i \(-0.372955\pi\)
−0.972134 + 0.234426i \(0.924679\pi\)
\(98\) −0.184281 + 0.462510i −0.0186152 + 0.0467206i
\(99\) −0.794470 4.84605i −0.0798473 0.487047i
\(100\) −7.24382 + 26.0899i −0.724382 + 2.60899i
\(101\) 5.10332 + 1.71951i 0.507799 + 0.171098i 0.561527 0.827458i \(-0.310214\pi\)
−0.0537282 + 0.998556i \(0.517110\pi\)
\(102\) 0.801641 + 1.18233i 0.0793742 + 0.117068i
\(103\) 5.62381 + 10.6076i 0.554130 + 1.04520i 0.989443 + 0.144922i \(0.0462930\pi\)
−0.435313 + 0.900279i \(0.643362\pi\)
\(104\) −0.0947407 + 0.111537i −0.00929009 + 0.0109371i
\(105\) −6.81494 6.45545i −0.665070 0.629987i
\(106\) −1.57558 0.171355i −0.153034 0.0166435i
\(107\) 4.31590 6.36547i 0.417233 0.615373i −0.559757 0.828657i \(-0.689106\pi\)
0.976990 + 0.213284i \(0.0684159\pi\)
\(108\) 1.55574 1.18264i 0.149701 0.113800i
\(109\) 12.5369 11.8756i 1.20082 1.13748i 0.213799 0.976878i \(-0.431416\pi\)
0.987020 0.160598i \(-0.0513423\pi\)
\(110\) −0.247022 4.55606i −0.0235527 0.434403i
\(111\) 4.16444 1.40316i 0.395272 0.133183i
\(112\) −6.41470 4.87633i −0.606132 0.460770i
\(113\) 4.06317 0.441897i 0.382231 0.0415702i 0.0850133 0.996380i \(-0.472907\pi\)
0.297218 + 0.954810i \(0.403941\pi\)
\(114\) −0.191663 + 0.361515i −0.0179509 + 0.0338589i
\(115\) 4.73203 + 11.8765i 0.441264 + 1.10749i
\(116\) −4.00954 + 2.41246i −0.372277 + 0.223991i
\(117\) −0.172963 −0.0159905
\(118\) −1.42920 0.811586i −0.131568 0.0747126i
\(119\) 14.4318 1.32296
\(120\) 3.14810 1.89415i 0.287381 0.172911i
\(121\) −4.85452 12.1839i −0.441320 1.10763i
\(122\) −0.891588 + 1.68171i −0.0807206 + 0.152255i
\(123\) −0.594305 + 0.0646345i −0.0535867 + 0.00582790i
\(124\) −8.97812 6.82499i −0.806259 0.612902i
\(125\) −36.4408 + 12.2783i −3.25936 + 1.09821i
\(126\) 0.0250424 + 0.461880i 0.00223096 + 0.0411475i
\(127\) −0.953055 + 0.902781i −0.0845699 + 0.0801089i −0.728817 0.684709i \(-0.759929\pi\)
0.644247 + 0.764817i \(0.277171\pi\)
\(128\) 5.14327 3.90981i 0.454605 0.345582i
\(129\) −2.72864 + 4.02444i −0.240243 + 0.354332i
\(130\) −0.159764 0.0173754i −0.0140122 0.00152392i
\(131\) 10.6898 + 10.1259i 0.933972 + 0.884705i 0.993536 0.113519i \(-0.0362123\pi\)
−0.0595637 + 0.998225i \(0.518971\pi\)
\(132\) 6.21274 7.31421i 0.540750 0.636620i
\(133\) 1.93636 + 3.65237i 0.167904 + 0.316700i
\(134\) 0.663060 + 0.977941i 0.0572797 + 0.0844812i
\(135\) 4.11500 + 1.38650i 0.354163 + 0.119331i
\(136\) −1.51113 + 5.44260i −0.129578 + 0.466699i
\(137\) 0.0643491 + 0.392512i 0.00549772 + 0.0335346i 0.989433 0.144991i \(-0.0463154\pi\)
−0.983935 + 0.178526i \(0.942867\pi\)
\(138\) 0.233177 0.585230i 0.0198494 0.0498181i
\(139\) 4.85039 + 5.71032i 0.411405 + 0.484343i 0.928367 0.371665i \(-0.121213\pi\)
−0.516962 + 0.856008i \(0.672937\pi\)
\(140\) 0.993138 18.3174i 0.0839355 1.54810i
\(141\) 2.71111 + 9.76452i 0.228316 + 0.822321i
\(142\) −0.380345 + 0.175966i −0.0319178 + 0.0147668i
\(143\) −0.829520 + 0.182591i −0.0693680 + 0.0152690i
\(144\) 3.64025 + 0.801279i 0.303354 + 0.0667732i
\(145\) −9.43662 4.36585i −0.783669 0.362564i
\(146\) −0.433350 + 2.64332i −0.0358643 + 0.218762i
\(147\) −1.99373 1.19959i −0.164440 0.0989402i
\(148\) 7.35849 + 4.42746i 0.604864 + 0.363935i
\(149\) 0.563532 3.43739i 0.0461664 0.281602i −0.953647 0.300928i \(-0.902704\pi\)
0.999813 + 0.0193256i \(0.00615191\pi\)
\(150\) 2.69071 + 1.24486i 0.219696 + 0.101642i
\(151\) −7.17134 1.57853i −0.583595 0.128459i −0.0866469 0.996239i \(-0.527615\pi\)
−0.496949 + 0.867780i \(0.665546\pi\)
\(152\) −1.58015 + 0.347818i −0.128167 + 0.0282118i
\(153\) −6.05893 + 2.80316i −0.489835 + 0.226622i
\(154\) 0.607692 + 2.18871i 0.0489693 + 0.176371i
\(155\) 1.35668 25.0226i 0.108971 2.00986i
\(156\) −0.218821 0.257616i −0.0175197 0.0206258i
\(157\) 3.05619 7.67047i 0.243911 0.612170i −0.755148 0.655555i \(-0.772435\pi\)
0.999058 + 0.0433847i \(0.0138141\pi\)
\(158\) −0.221610 1.35176i −0.0176304 0.107541i
\(159\) 1.98155 7.13690i 0.157147 0.565993i
\(160\) 10.2453 + 3.45205i 0.809964 + 0.272909i
\(161\) −3.57173 5.26790i −0.281492 0.415169i
\(162\) −0.100227 0.189048i −0.00787456 0.0148530i
\(163\) 1.51819 1.78735i 0.118913 0.139996i −0.699484 0.714648i \(-0.746587\pi\)
0.818398 + 0.574652i \(0.194863\pi\)
\(164\) −0.848143 0.803403i −0.0662288 0.0627353i
\(165\) 21.1989 + 2.30552i 1.65034 + 0.179485i
\(166\) 0.663083 0.977975i 0.0514652 0.0759056i
\(167\) −0.119755 + 0.0910356i −0.00926694 + 0.00704455i −0.609797 0.792557i \(-0.708749\pi\)
0.600530 + 0.799602i \(0.294956\pi\)
\(168\) −1.32789 + 1.25784i −0.102449 + 0.0970445i
\(169\) −0.702186 12.9511i −0.0540143 0.996236i
\(170\) −5.87816 + 1.98058i −0.450835 + 0.151904i
\(171\) −1.52236 1.15727i −0.116418 0.0884987i
\(172\) −9.44621 + 1.02734i −0.720267 + 0.0783337i
\(173\) 3.04129 5.73649i 0.231225 0.436137i −0.740565 0.671985i \(-0.765442\pi\)
0.971790 + 0.235848i \(0.0757867\pi\)
\(174\) 0.189643 + 0.475968i 0.0143768 + 0.0360830i
\(175\) 25.6650 15.4421i 1.94009 1.16732i
\(176\) 18.3043 1.37974
\(177\) 4.82357 5.97772i 0.362562 0.449313i
\(178\) 2.51949 0.188844
\(179\) −1.96229 + 1.18067i −0.146669 + 0.0882477i −0.586997 0.809589i \(-0.699690\pi\)
0.440328 + 0.897837i \(0.354862\pi\)
\(180\) 3.14092 + 7.88311i 0.234110 + 0.587572i
\(181\) 4.19589 7.91428i 0.311878 0.588264i −0.677176 0.735821i \(-0.736796\pi\)
0.989053 + 0.147558i \(0.0471412\pi\)
\(182\) 0.0795366 0.00865012i 0.00589564 0.000641190i
\(183\) −7.08181 5.38345i −0.523503 0.397956i
\(184\) 2.36065 0.795396i 0.174029 0.0586374i
\(185\) 1.03309 + 19.0542i 0.0759542 + 1.40089i
\(186\) −0.896483 + 0.849194i −0.0657333 + 0.0622659i
\(187\) −26.0990 + 19.8400i −1.90855 + 1.45084i
\(188\) −11.1137 + 16.3914i −0.810547 + 1.19547i
\(189\) −2.14909 0.233727i −0.156323 0.0170012i
\(190\) −1.28993 1.22189i −0.0935817 0.0886453i
\(191\) 7.74277 9.11549i 0.560247 0.659574i −0.406995 0.913430i \(-0.633423\pi\)
0.967242 + 0.253857i \(0.0816992\pi\)
\(192\) 3.24234 + 6.11571i 0.233996 + 0.441363i
\(193\) −12.8138 18.8989i −0.922355 1.36037i −0.932788 0.360427i \(-0.882631\pi\)
0.0104322 0.999946i \(-0.496679\pi\)
\(194\) −1.80006 0.606512i −0.129237 0.0435450i
\(195\) 0.200929 0.723683i 0.0143889 0.0518240i
\(196\) −0.735631 4.48715i −0.0525451 0.320511i
\(197\) −1.27584 + 3.20213i −0.0909001 + 0.228142i −0.967397 0.253266i \(-0.918495\pi\)
0.876497 + 0.481408i \(0.159874\pi\)
\(198\) −0.680252 0.800855i −0.0483434 0.0569143i
\(199\) 0.651229 12.0112i 0.0461644 0.851452i −0.880149 0.474698i \(-0.842557\pi\)
0.926313 0.376754i \(-0.122960\pi\)
\(200\) 3.13628 + 11.2959i 0.221768 + 0.798738i
\(201\) −5.01151 + 2.31857i −0.353485 + 0.163540i
\(202\) 1.12535 0.247709i 0.0791795 0.0174287i
\(203\) 5.05530 + 1.11276i 0.354813 + 0.0781002i
\(204\) −11.8404 5.47798i −0.828997 0.383535i
\(205\) 0.419965 2.56167i 0.0293316 0.178915i
\(206\) 2.20127 + 1.32446i 0.153370 + 0.0922795i
\(207\) 2.52273 + 1.51788i 0.175342 + 0.105500i
\(208\) 0.104301 0.636208i 0.00723198 0.0441131i
\(209\) −8.52284 3.94309i −0.589537 0.272749i
\(210\) −1.96161 0.431783i −0.135364 0.0297959i
\(211\) 24.9028 5.48153i 1.71438 0.377364i 0.754180 0.656668i \(-0.228035\pi\)
0.960203 + 0.279304i \(0.0901038\pi\)
\(212\) 13.1368 6.07774i 0.902241 0.417421i
\(213\) −0.523969 1.88716i −0.0359017 0.129306i
\(214\) 0.0890906 1.64318i 0.00609011 0.112325i
\(215\) −13.6685 16.0919i −0.932187 1.09746i
\(216\) 0.313172 0.786003i 0.0213087 0.0534807i
\(217\) 2.01831 + 12.3111i 0.137011 + 0.835733i
\(218\) 0.988520 3.56033i 0.0669510 0.241136i
\(219\) −11.8631 3.99715i −0.801635 0.270102i
\(220\) 23.3856 + 34.4911i 1.57665 + 2.32539i
\(221\) 0.540868 + 1.02019i 0.0363827 + 0.0686251i
\(222\) 0.608738 0.716661i 0.0408558 0.0480992i
\(223\) 18.7797 + 17.7891i 1.25758 + 1.19124i 0.972542 + 0.232727i \(0.0747648\pi\)
0.285038 + 0.958516i \(0.407994\pi\)
\(224\) −5.35070 0.581923i −0.357508 0.0388814i
\(225\) −7.77559 + 11.4681i −0.518372 + 0.764542i
\(226\) 0.696212 0.529247i 0.0463113 0.0352050i
\(227\) −9.88797 + 9.36639i −0.656288 + 0.621669i −0.941587 0.336770i \(-0.890666\pi\)
0.285299 + 0.958438i \(0.407907\pi\)
\(228\) −0.202319 3.73155i −0.0133989 0.247128i
\(229\) 8.44584 2.84573i 0.558117 0.188051i −0.0260852 0.999660i \(-0.508304\pi\)
0.584202 + 0.811608i \(0.301408\pi\)
\(230\) 2.17774 + 1.65548i 0.143596 + 0.109159i
\(231\) −10.5536 + 1.14778i −0.694378 + 0.0755181i
\(232\) −0.948982 + 1.78997i −0.0623037 + 0.117517i
\(233\) 10.6832 + 26.8127i 0.699878 + 1.75656i 0.652629 + 0.757677i \(0.273666\pi\)
0.0472485 + 0.998883i \(0.484955\pi\)
\(234\) −0.0317118 + 0.0190804i −0.00207307 + 0.00124732i
\(235\) −44.0045 −2.87054
\(236\) 15.0058 0.378252i 0.976797 0.0246221i
\(237\) 6.40178 0.415840
\(238\) 2.64599 1.59204i 0.171514 0.103197i
\(239\) −4.47062 11.2204i −0.289180 0.725788i −0.999754 0.0221654i \(-0.992944\pi\)
0.710574 0.703622i \(-0.248435\pi\)
\(240\) −7.58141 + 14.3000i −0.489378 + 0.923064i
\(241\) −21.4981 + 2.33806i −1.38481 + 0.150607i −0.769989 0.638057i \(-0.779738\pi\)
−0.614823 + 0.788665i \(0.710773\pi\)
\(242\) −2.23411 1.69833i −0.143614 0.109173i
\(243\) 0.947653 0.319302i 0.0607920 0.0204832i
\(244\) −0.941158 17.3586i −0.0602515 1.11127i
\(245\) 7.33519 6.94826i 0.468628 0.443908i
\(246\) −0.101832 + 0.0774109i −0.00649259 + 0.00493554i
\(247\) −0.185616 + 0.273763i −0.0118105 + 0.0174191i
\(248\) −4.85417 0.527923i −0.308240 0.0335231i
\(249\) 4.00899 + 3.79752i 0.254060 + 0.240658i
\(250\) −5.32673 + 6.27112i −0.336892 + 0.396620i
\(251\) −6.03718 11.3873i −0.381063 0.718762i 0.616586 0.787288i \(-0.288515\pi\)
−0.997649 + 0.0685258i \(0.978170\pi\)
\(252\) −2.37076 3.49661i −0.149344 0.220266i
\(253\) 13.7012 + 4.61648i 0.861390 + 0.290236i
\(254\) −0.0751472 + 0.270656i −0.00471515 + 0.0169825i
\(255\) −4.68990 28.6071i −0.293693 1.79145i
\(256\) −4.61254 + 11.5766i −0.288284 + 0.723538i
\(257\) −10.3874 12.2290i −0.647947 0.762822i 0.335887 0.941902i \(-0.390964\pi\)
−0.983835 + 0.179080i \(0.942688\pi\)
\(258\) −0.0563257 + 1.03887i −0.00350669 + 0.0646770i
\(259\) −2.54147 9.15355i −0.157919 0.568774i
\(260\) 1.33208 0.616284i 0.0826119 0.0382203i
\(261\) −2.33851 + 0.514745i −0.144750 + 0.0318619i
\(262\) 3.07695 + 0.677288i 0.190095 + 0.0418430i
\(263\) 3.46443 + 1.60281i 0.213626 + 0.0988338i 0.523784 0.851851i \(-0.324520\pi\)
−0.310158 + 0.950685i \(0.600382\pi\)
\(264\) 0.672198 4.10022i 0.0413709 0.252351i
\(265\) 27.5590 + 16.5817i 1.69294 + 1.01861i
\(266\) 0.757931 + 0.456032i 0.0464717 + 0.0279611i
\(267\) −1.90495 + 11.6197i −0.116581 + 0.711114i
\(268\) −9.79358 4.53099i −0.598238 0.276774i
\(269\) −10.2805 2.26292i −0.626816 0.137973i −0.109807 0.993953i \(-0.535023\pi\)
−0.517008 + 0.855980i \(0.672954\pi\)
\(270\) 0.907413 0.199737i 0.0552234 0.0121556i
\(271\) 7.25562 3.35681i 0.440748 0.203912i −0.186949 0.982370i \(-0.559860\pi\)
0.627697 + 0.778458i \(0.283998\pi\)
\(272\) −6.65714 23.9768i −0.403648 1.45381i
\(273\) −0.0202428 + 0.373357i −0.00122515 + 0.0225966i
\(274\) 0.0550979 + 0.0648663i 0.00332859 + 0.00391871i
\(275\) −25.1847 + 63.2088i −1.51869 + 3.81164i
\(276\) 0.930820 + 5.67775i 0.0560288 + 0.341760i
\(277\) −2.33974 + 8.42700i −0.140582 + 0.506329i −0.999988 0.00496439i \(-0.998420\pi\)
0.859406 + 0.511294i \(0.170834\pi\)
\(278\) 1.51922 + 0.511886i 0.0911170 + 0.0307009i
\(279\) −3.23860 4.77657i −0.193890 0.285966i
\(280\) −3.72025 7.01713i −0.222327 0.419354i
\(281\) −16.3609 + 19.2616i −0.976012 + 1.14905i 0.0128057 + 0.999918i \(0.495924\pi\)
−0.988817 + 0.149132i \(0.952352\pi\)
\(282\) 1.57424 + 1.49120i 0.0937444 + 0.0887994i
\(283\) 5.16773 + 0.562024i 0.307190 + 0.0334089i 0.260416 0.965497i \(-0.416140\pi\)
0.0467740 + 0.998905i \(0.485106\pi\)
\(284\) 2.14791 3.16793i 0.127455 0.187982i
\(285\) 6.61056 5.02522i 0.391576 0.297668i
\(286\) −0.131945 + 0.124985i −0.00780209 + 0.00739053i
\(287\) 0.0699648 + 1.29042i 0.00412989 + 0.0761714i
\(288\) 2.35942 0.794982i 0.139030 0.0468447i
\(289\) 21.9469 + 16.6836i 1.29100 + 0.981389i
\(290\) −2.21177 + 0.240544i −0.129880 + 0.0141252i
\(291\) 4.15819 7.84318i 0.243757 0.459775i
\(292\) −9.05494 22.7262i −0.529900 1.32995i
\(293\) −14.3983 + 8.66314i −0.841155 + 0.506106i −0.869755 0.493485i \(-0.835723\pi\)
0.0285993 + 0.999591i \(0.490895\pi\)
\(294\) −0.497871 −0.0290364
\(295\) 19.4075 + 27.1262i 1.12995 + 1.57935i
\(296\) 3.71815 0.216113
\(297\) 4.20781 2.53175i 0.244162 0.146907i
\(298\) −0.275874 0.692393i −0.0159810 0.0401092i
\(299\) 0.238529 0.449914i 0.0137945 0.0260192i
\(300\) −26.9181 + 2.92752i −1.55412 + 0.169021i
\(301\) 8.36777 + 6.36102i 0.482310 + 0.366643i
\(302\) −1.48896 + 0.501689i −0.0856800 + 0.0288690i
\(303\) 0.291550 + 5.37732i 0.0167491 + 0.308919i
\(304\) 5.17479 4.90183i 0.296795 0.281139i
\(305\) 30.7514 23.3766i 1.76082 1.33854i
\(306\) −0.801641 + 1.18233i −0.0458267 + 0.0675894i
\(307\) 7.52887 + 0.818814i 0.429695 + 0.0467322i 0.320412 0.947278i \(-0.396179\pi\)
0.109284 + 0.994011i \(0.465144\pi\)
\(308\) −15.0613 14.2668i −0.858195 0.812926i
\(309\) −7.77265 + 9.15068i −0.442171 + 0.520564i
\(310\) −2.51161 4.73741i −0.142650 0.269067i
\(311\) −0.140169 0.206734i −0.00794825 0.0117228i 0.823694 0.567034i \(-0.191909\pi\)
−0.831642 + 0.555312i \(0.812599\pi\)
\(312\) −0.138683 0.0467277i −0.00785136 0.00264543i
\(313\) −5.74972 + 20.7086i −0.324993 + 1.17052i 0.602944 + 0.797784i \(0.293994\pi\)
−0.927937 + 0.372737i \(0.878419\pi\)
\(314\) −0.285829 1.74348i −0.0161303 0.0983903i
\(315\) 3.47450 8.72032i 0.195766 0.491335i
\(316\) 8.09910 + 9.53500i 0.455610 + 0.536386i
\(317\) 0.0513438 0.946982i 0.00288376 0.0531878i −0.996737 0.0807136i \(-0.974280\pi\)
0.999621 + 0.0275258i \(0.00876284\pi\)
\(318\) −0.423998 1.52710i −0.0237766 0.0856357i
\(319\) −10.6720 + 4.93737i −0.597515 + 0.276440i
\(320\) −29.3549 + 6.46150i −1.64099 + 0.361209i
\(321\) 7.51085 + 1.65326i 0.419215 + 0.0922761i
\(322\) −1.23598 0.571826i −0.0688786 0.0318666i
\(323\) −2.06537 + 12.5982i −0.114920 + 0.700982i
\(324\) 1.67448 + 1.00750i 0.0930269 + 0.0559724i
\(325\) 2.05347 + 1.23553i 0.113906 + 0.0685349i
\(326\) 0.0811803 0.495178i 0.00449616 0.0274254i
\(327\) 15.6725 + 7.25089i 0.866694 + 0.400975i
\(328\) −0.493978 0.108733i −0.0272754 0.00600377i
\(329\) 21.3949 4.70937i 1.17954 0.259636i
\(330\) 4.14104 1.91585i 0.227957 0.105464i
\(331\) 2.62914 + 9.46929i 0.144510 + 0.520479i 0.999996 + 0.00265348i \(0.000844628\pi\)
−0.855486 + 0.517826i \(0.826742\pi\)
\(332\) −0.584229 + 10.7755i −0.0320638 + 0.591381i
\(333\) 2.84493 + 3.34931i 0.155901 + 0.183541i
\(334\) −0.0119139 + 0.0299016i −0.000651899 + 0.00163614i
\(335\) −3.87915 23.6618i −0.211941 1.29278i
\(336\) 2.15567 7.76402i 0.117601 0.423562i
\(337\) −30.6490 10.3268i −1.66956 0.562539i −0.683647 0.729813i \(-0.739607\pi\)
−0.985910 + 0.167274i \(0.946504\pi\)
\(338\) −1.55743 2.29704i −0.0847132 0.124943i
\(339\) 1.91445 + 3.61103i 0.103979 + 0.196124i
\(340\) 36.6749 43.1771i 1.98898 2.34160i
\(341\) −20.5746 19.4892i −1.11417 1.05540i
\(342\) −0.406780 0.0442400i −0.0219962 0.00239223i
\(343\) −11.3148 + 16.6881i −0.610943 + 0.901073i
\(344\) −3.27508 + 2.48965i −0.176580 + 0.134233i
\(345\) −9.28148 + 8.79188i −0.499698 + 0.473339i
\(346\) −0.0752146 1.38725i −0.00404356 0.0745791i
\(347\) 31.3823 10.5739i 1.68469 0.567638i 0.696058 0.717986i \(-0.254936\pi\)
0.988633 + 0.150347i \(0.0480392\pi\)
\(348\) −3.72520 2.83183i −0.199692 0.151802i
\(349\) 6.14607 0.668426i 0.328992 0.0357800i 0.0578673 0.998324i \(-0.481570\pi\)
0.271125 + 0.962544i \(0.412604\pi\)
\(350\) 3.00204 5.66245i 0.160466 0.302671i
\(351\) −0.0640203 0.160679i −0.00341715 0.00857640i
\(352\) 10.4764 6.30344i 0.558394 0.335974i
\(353\) 4.01294 0.213587 0.106794 0.994281i \(-0.465942\pi\)
0.106794 + 0.994281i \(0.465942\pi\)
\(354\) 0.224943 1.62809i 0.0119556 0.0865321i
\(355\) 8.50464 0.451379
\(356\) −19.7167 + 11.8632i −1.04498 + 0.628746i
\(357\) 5.34176 + 13.4068i 0.282716 + 0.709564i
\(358\) −0.229530 + 0.432940i −0.0121310 + 0.0228816i
\(359\) 8.18442 0.890110i 0.431957 0.0469782i 0.110442 0.993883i \(-0.464773\pi\)
0.321515 + 0.946904i \(0.395808\pi\)
\(360\) 2.92485 + 2.22341i 0.154153 + 0.117184i
\(361\) 14.5400 4.89909i 0.765262 0.257847i
\(362\) −0.103769 1.91391i −0.00545397 0.100593i
\(363\) 9.52174 9.01947i 0.499762 0.473399i
\(364\) −0.581698 + 0.442195i −0.0304893 + 0.0231773i
\(365\) 30.5054 44.9921i 1.59673 2.35500i
\(366\) −1.89228 0.205798i −0.0989113 0.0107572i
\(367\) −15.8598 15.0232i −0.827877 0.784207i 0.151027 0.988530i \(-0.451742\pi\)
−0.978904 + 0.204323i \(0.934501\pi\)
\(368\) −7.10446 + 8.36402i −0.370346 + 0.436005i
\(369\) −0.280019 0.528172i −0.0145772 0.0274955i
\(370\) 2.29137 + 3.37951i 0.119122 + 0.175693i
\(371\) −15.1737 5.11263i −0.787781 0.265434i
\(372\) 3.01711 10.8667i 0.156430 0.563410i
\(373\) −0.0301052 0.183634i −0.00155879 0.00950820i 0.986036 0.166534i \(-0.0532576\pi\)
−0.987594 + 0.157026i \(0.949809\pi\)
\(374\) −2.59647 + 6.51665i −0.134260 + 0.336968i
\(375\) −24.8944 29.3080i −1.28554 1.51346i
\(376\) −0.464201 + 8.56167i −0.0239393 + 0.441535i
\(377\) 0.110799 + 0.399063i 0.00570646 + 0.0205528i
\(378\) −0.419807 + 0.194223i −0.0215925 + 0.00998977i
\(379\) 5.01935 1.10484i 0.257827 0.0567520i −0.0841760 0.996451i \(-0.526826\pi\)
0.342003 + 0.939699i \(0.388895\pi\)
\(380\) 15.8479 + 3.48840i 0.812982 + 0.178951i
\(381\) −1.19142 0.551212i −0.0610385 0.0282394i
\(382\) 0.414020 2.52541i 0.0211831 0.129211i
\(383\) 16.8830 + 10.1582i 0.862681 + 0.519058i 0.876807 0.480842i \(-0.159669\pi\)
−0.0141258 + 0.999900i \(0.504497\pi\)
\(384\) 5.53584 + 3.33080i 0.282500 + 0.169974i
\(385\) 7.45771 45.4900i 0.380080 2.31839i
\(386\) −4.43416 2.05146i −0.225693 0.104417i
\(387\) −4.74859 1.04524i −0.241384 0.0531327i
\(388\) 16.9425 3.72933i 0.860126 0.189328i
\(389\) 14.0077 6.48065i 0.710219 0.328582i −0.0313040 0.999510i \(-0.509966\pi\)
0.741523 + 0.670928i \(0.234104\pi\)
\(390\) −0.0429935 0.154849i −0.00217706 0.00784106i
\(391\) 1.06411 19.6263i 0.0538142 0.992545i
\(392\) −1.27450 1.50046i −0.0643720 0.0757846i
\(393\) −5.45004 + 13.6786i −0.274918 + 0.689992i
\(394\) 0.119323 + 0.727836i 0.00601139 + 0.0366678i
\(395\) −7.43688 + 26.7852i −0.374190 + 1.34771i
\(396\) 9.09430 + 3.06423i 0.457006 + 0.153983i
\(397\) 1.99384 + 2.94069i 0.100068 + 0.147589i 0.874427 0.485158i \(-0.161238\pi\)
−0.774359 + 0.632747i \(0.781927\pi\)
\(398\) −1.20561 2.27403i −0.0604319 0.113987i
\(399\) −2.67624 + 3.15072i −0.133980 + 0.157733i
\(400\) −37.4942 35.5164i −1.87471 1.77582i
\(401\) −21.3830 2.32554i −1.06782 0.116132i −0.442705 0.896667i \(-0.645981\pi\)
−0.625112 + 0.780535i \(0.714947\pi\)
\(402\) −0.663060 + 0.977941i −0.0330704 + 0.0487752i
\(403\) −0.794633 + 0.604064i −0.0395835 + 0.0300906i
\(404\) −7.64029 + 7.23727i −0.380119 + 0.360067i
\(405\) 0.235088 + 4.33594i 0.0116816 + 0.215454i
\(406\) 1.04961 0.353656i 0.0520915 0.0175517i
\(407\) 17.1798 + 13.0598i 0.851573 + 0.647349i
\(408\) −5.61538 + 0.610709i −0.278003 + 0.0302346i
\(409\) −14.4506 + 27.2568i −0.714537 + 1.34776i 0.214115 + 0.976808i \(0.431313\pi\)
−0.928652 + 0.370951i \(0.879032\pi\)
\(410\) −0.205592 0.515996i −0.0101535 0.0254832i
\(411\) −0.340817 + 0.205063i −0.0168113 + 0.0101150i
\(412\) −23.4627 −1.15593
\(413\) −12.3389 11.1117i −0.607159 0.546772i
\(414\) 0.629973 0.0309615
\(415\) −20.5461 + 12.3622i −1.00857 + 0.606836i
\(416\) −0.159395 0.400050i −0.00781496 0.0196141i
\(417\) −3.50944 + 6.61951i −0.171858 + 0.324159i
\(418\) −1.99760 + 0.217252i −0.0977056 + 0.0106261i
\(419\) 11.4216 + 8.68246i 0.557981 + 0.424166i 0.845786 0.533523i \(-0.179132\pi\)
−0.287805 + 0.957689i \(0.592925\pi\)
\(420\) 17.3840 5.85735i 0.848252 0.285809i
\(421\) −1.79595 33.1243i −0.0875291 1.61438i −0.631569 0.775320i \(-0.717589\pi\)
0.544040 0.839059i \(-0.316894\pi\)
\(422\) 3.96110 3.75215i 0.192823 0.182652i
\(423\) −8.06753 + 6.13278i −0.392257 + 0.298186i
\(424\) 3.51692 5.18707i 0.170797 0.251906i
\(425\) 91.9571 + 10.0009i 4.46057 + 0.485117i
\(426\) −0.304248 0.288199i −0.0147409 0.0139633i
\(427\) −12.4495 + 14.6567i −0.602473 + 0.709286i
\(428\) 7.03980 + 13.2785i 0.340282 + 0.641839i
\(429\) −0.476660 0.703021i −0.0230134 0.0339422i
\(430\) −4.28122 1.44251i −0.206459 0.0695640i
\(431\) −7.58425 + 27.3160i −0.365321 + 1.31577i 0.521341 + 0.853348i \(0.325432\pi\)
−0.886662 + 0.462418i \(0.846982\pi\)
\(432\) 0.603025 + 3.67829i 0.0290130 + 0.176972i
\(433\) −6.53742 + 16.4077i −0.314168 + 0.788503i 0.684084 + 0.729404i \(0.260202\pi\)
−0.998252 + 0.0590997i \(0.981177\pi\)
\(434\) 1.72814 + 2.03452i 0.0829534 + 0.0976603i
\(435\) 0.562916 10.3824i 0.0269897 0.497797i
\(436\) 9.02816 + 32.5165i 0.432370 + 1.55726i
\(437\) 5.10976 2.36402i 0.244433 0.113087i
\(438\) −2.61598 + 0.575820i −0.124996 + 0.0275138i
\(439\) 10.6666 + 2.34789i 0.509088 + 0.112059i 0.462084 0.886836i \(-0.347102\pi\)
0.0470034 + 0.998895i \(0.485033\pi\)
\(440\) 16.3746 + 7.57568i 0.780627 + 0.361156i
\(441\) 0.376433 2.29614i 0.0179254 0.109340i
\(442\) 0.211706 + 0.127380i 0.0100698 + 0.00605883i
\(443\) −0.465259 0.279937i −0.0221051 0.0133002i 0.504458 0.863436i \(-0.331692\pi\)
−0.526564 + 0.850136i \(0.676520\pi\)
\(444\) −1.38935 + 8.47463i −0.0659354 + 0.402188i
\(445\) −46.4042 21.4688i −2.19977 1.01772i
\(446\) 5.40554 + 1.18985i 0.255960 + 0.0563410i
\(447\) 3.40184 0.748803i 0.160902 0.0354171i
\(448\) 13.5808 6.28313i 0.641631 0.296850i
\(449\) −8.25211 29.7214i −0.389441 1.40264i −0.855462 0.517866i \(-0.826726\pi\)
0.466020 0.884774i \(-0.345687\pi\)
\(450\) −0.160507 + 2.96038i −0.00756637 + 0.139554i
\(451\) −1.90052 2.23747i −0.0894922 0.105358i
\(452\) −2.95634 + 7.41987i −0.139055 + 0.349001i
\(453\) −1.18797 7.24628i −0.0558156 0.340460i
\(454\) −0.779654 + 2.80806i −0.0365910 + 0.131789i
\(455\) −1.53862 0.518421i −0.0721315 0.0243039i
\(456\) −0.907991 1.33919i −0.0425206 0.0627131i
\(457\) −4.45406 8.40126i −0.208352 0.392994i 0.757208 0.653174i \(-0.226563\pi\)
−0.965560 + 0.260180i \(0.916218\pi\)
\(458\) 1.23457 1.45345i 0.0576877 0.0679152i
\(459\) −4.84671 4.59105i −0.226225 0.214292i
\(460\) −24.8372 2.70121i −1.15804 0.125944i
\(461\) −4.52996 + 6.68119i −0.210981 + 0.311174i −0.918425 0.395596i \(-0.870538\pi\)
0.707443 + 0.706770i \(0.249848\pi\)
\(462\) −1.80833 + 1.37466i −0.0841312 + 0.0639548i
\(463\) −10.4704 + 9.91805i −0.486599 + 0.460931i −0.891232 0.453548i \(-0.850158\pi\)
0.404633 + 0.914479i \(0.367399\pi\)
\(464\) −0.483201 8.91212i −0.0224321 0.413735i
\(465\) 23.7475 8.00148i 1.10127 0.371060i
\(466\) 4.91653 + 3.73745i 0.227754 + 0.173134i
\(467\) 20.8741 2.27019i 0.965936 0.105052i 0.388466 0.921463i \(-0.373005\pi\)
0.577471 + 0.816411i \(0.304040\pi\)
\(468\) 0.158325 0.298634i 0.00731860 0.0138043i
\(469\) 4.41833 + 11.0892i 0.204019 + 0.512050i
\(470\) −8.06797 + 4.85434i −0.372148 + 0.223914i
\(471\) 8.25690 0.380458
\(472\) 5.48250 3.48984i 0.252353 0.160633i
\(473\) −23.8773 −1.09788
\(474\) 1.17373 0.706210i 0.0539112 0.0324373i
\(475\) 9.80717 + 24.6141i 0.449984 + 1.12937i
\(476\) −13.2105 + 24.9176i −0.605500 + 1.14209i
\(477\) 7.36346 0.800825i 0.337150 0.0366672i
\(478\) −2.05744 1.56402i −0.0941050 0.0715368i
\(479\) −33.1829 + 11.1806i −1.51617 + 0.510856i −0.949682 0.313215i \(-0.898594\pi\)
−0.566485 + 0.824072i \(0.691697\pi\)
\(480\) 0.585310 + 10.7954i 0.0267156 + 0.492740i
\(481\) 0.551817 0.522709i 0.0251607 0.0238335i
\(482\) −3.68363 + 2.80022i −0.167785 + 0.127547i
\(483\) 3.57173 5.26790i 0.162519 0.239698i
\(484\) 25.4801 + 2.77113i 1.15819 + 0.125960i
\(485\) 27.9855 + 26.5093i 1.27076 + 1.20373i
\(486\) 0.138523 0.163082i 0.00628354 0.00739756i
\(487\) −9.10299 17.1701i −0.412496 0.778050i 0.587007 0.809582i \(-0.300306\pi\)
−0.999503 + 0.0315321i \(0.989961\pi\)
\(488\) −4.22384 6.22970i −0.191204 0.282005i
\(489\) 2.22234 + 0.748794i 0.100498 + 0.0338616i
\(490\) 0.578371 2.08310i 0.0261281 0.0941050i
\(491\) −6.38437 38.9429i −0.288123 1.75747i −0.593118 0.805116i \(-0.702103\pi\)
0.304995 0.952354i \(-0.401345\pi\)
\(492\) 0.432413 1.08528i 0.0194947 0.0489280i
\(493\) 10.3488 + 12.1836i 0.466087 + 0.548720i
\(494\) −0.00383157 + 0.0706691i −0.000172390 + 0.00317955i
\(495\) 5.70476 + 20.5467i 0.256410 + 0.923505i
\(496\) 19.5225 9.03209i 0.876588 0.405553i
\(497\) −4.13494 + 0.910169i −0.185477 + 0.0408266i
\(498\) 1.15395 + 0.254003i 0.0517097 + 0.0113822i
\(499\) 16.2127 + 7.50080i 0.725780 + 0.335782i 0.747753 0.663977i \(-0.231133\pi\)
−0.0219728 + 0.999759i \(0.506995\pi\)
\(500\) 12.1574 74.1569i 0.543696 3.31640i
\(501\) −0.128896 0.0775541i −0.00575865 0.00346486i
\(502\) −2.36307 1.42181i −0.105469 0.0634586i
\(503\) 4.12715 25.1745i 0.184021 1.12248i −0.719679 0.694307i \(-0.755711\pi\)
0.903699 0.428168i \(-0.140841\pi\)
\(504\) −1.66001 0.768001i −0.0739425 0.0342095i
\(505\) −22.8375 5.02692i −1.01626 0.223695i
\(506\) 3.02131 0.665041i 0.134314 0.0295647i
\(507\) 11.7713 5.44600i 0.522783 0.241865i
\(508\) −0.686319 2.47190i −0.0304505 0.109673i
\(509\) −0.924034 + 17.0428i −0.0409571 + 0.755409i 0.903863 + 0.427821i \(0.140719\pi\)
−0.944821 + 0.327588i \(0.893764\pi\)
\(510\) −4.01565 4.72759i −0.177816 0.209341i
\(511\) −10.0166 + 25.1398i −0.443109 + 1.11212i
\(512\) 2.52181 + 15.3824i 0.111449 + 0.679812i
\(513\) 0.511592 1.84259i 0.0225874 0.0813523i
\(514\) −3.25350 1.09623i −0.143506 0.0483527i
\(515\) −29.2573 43.1512i −1.28923 1.90147i
\(516\) −4.45077 8.39505i −0.195934 0.369572i
\(517\) −32.2172 + 37.9290i −1.41691 + 1.66812i
\(518\) −1.47573 1.39789i −0.0648400 0.0614198i
\(519\) 6.45476 + 0.701998i 0.283333 + 0.0308143i
\(520\) 0.356616 0.525969i 0.0156386 0.0230653i
\(521\) −2.87568 + 2.18604i −0.125986 + 0.0957720i −0.666270 0.745711i \(-0.732110\pi\)
0.540284 + 0.841483i \(0.318317\pi\)
\(522\) −0.371969 + 0.352348i −0.0162806 + 0.0154218i
\(523\) −2.17345 40.0870i −0.0950385 1.75288i −0.525975 0.850500i \(-0.676300\pi\)
0.430937 0.902382i \(-0.358183\pi\)
\(524\) −27.2683 + 9.18775i −1.19122 + 0.401369i
\(525\) 23.8450 + 18.1265i 1.04068 + 0.791105i
\(526\) 0.811997 0.0883100i 0.0354047 0.00385050i
\(527\) −18.0462 + 34.0388i −0.786107 + 1.48275i
\(528\) 6.77511 + 17.0042i 0.294849 + 0.740014i
\(529\) 12.2804 7.38884i 0.533929 0.321254i
\(530\) 6.88200 0.298935
\(531\) 7.33855 + 2.26840i 0.318466 + 0.0984401i
\(532\) −8.07857 −0.350250
\(533\) −0.0885981 + 0.0533077i −0.00383761 + 0.00230901i
\(534\) 0.932560 + 2.34055i 0.0403558 + 0.101285i
\(535\) −15.6426 + 29.5050i −0.676287 + 1.27561i
\(536\) −4.64464 + 0.505135i −0.200618 + 0.0218185i
\(537\) −1.82314 1.38591i −0.0786742 0.0598066i
\(538\) −2.13451 + 0.719201i −0.0920253 + 0.0310069i
\(539\) −0.618606 11.4095i −0.0266453 0.491443i
\(540\) −6.16065 + 5.83568i −0.265112 + 0.251128i
\(541\) −11.5528 + 8.78219i −0.496693 + 0.377576i −0.823320 0.567577i \(-0.807881\pi\)
0.326627 + 0.945153i \(0.394088\pi\)
\(542\) 0.959972 1.41585i 0.0412343 0.0608161i
\(543\) 8.90524 + 0.968503i 0.382160 + 0.0415624i
\(544\) −12.0671 11.4306i −0.517373 0.490081i
\(545\) −48.5446 + 57.1511i −2.07942 + 2.44808i
\(546\) 0.0374753 + 0.0706859i 0.00160379 + 0.00302508i
\(547\) 9.27135 + 13.6742i 0.396414 + 0.584667i 0.972552 0.232685i \(-0.0747512\pi\)
−0.576138 + 0.817353i \(0.695441\pi\)
\(548\) −0.736605 0.248191i −0.0314662 0.0106022i
\(549\) 2.37985 8.57146i 0.101570 0.365821i
\(550\) 2.35539 + 14.3672i 0.100434 + 0.612620i
\(551\) −1.69485 + 4.25376i −0.0722032 + 0.181216i
\(552\) 1.61267 + 1.89858i 0.0686398 + 0.0808091i
\(553\) 0.749235 13.8188i 0.0318607 0.587636i
\(554\) 0.500642 + 1.80315i 0.0212703 + 0.0766085i
\(555\) −17.3185 + 8.01240i −0.735130 + 0.340107i
\(556\) −14.2992 + 3.14749i −0.606421 + 0.133483i
\(557\) −5.18702 1.14175i −0.219781 0.0483774i 0.103715 0.994607i \(-0.466927\pi\)
−0.323496 + 0.946230i \(0.604858\pi\)
\(558\) −1.12070 0.518493i −0.0474432 0.0219495i
\(559\) −0.136057 + 0.829914i −0.00575462 + 0.0351016i
\(560\) 29.9807 + 18.0388i 1.26691 + 0.762277i
\(561\) −28.0911 16.9019i −1.18601 0.713597i
\(562\) −0.874851 + 5.33635i −0.0369033 + 0.225100i
\(563\) 17.1521 + 7.93541i 0.722875 + 0.334438i 0.746593 0.665281i \(-0.231688\pi\)
−0.0237177 + 0.999719i \(0.507550\pi\)
\(564\) −19.3408 4.25724i −0.814396 0.179262i
\(565\) −17.3326 + 3.81520i −0.729190 + 0.160507i
\(566\) 1.00947 0.467032i 0.0424313 0.0196308i
\(567\) −0.578332 2.08296i −0.0242877 0.0874763i
\(568\) 0.0897148 1.65469i 0.00376435 0.0694294i
\(569\) −5.66394 6.66811i −0.237445 0.279542i 0.630514 0.776178i \(-0.282844\pi\)
−0.867959 + 0.496636i \(0.834568\pi\)
\(570\) 0.657654 1.65059i 0.0275461 0.0691355i
\(571\) 6.93138 + 42.2796i 0.290069 + 1.76934i 0.582278 + 0.812990i \(0.302162\pi\)
−0.292208 + 0.956355i \(0.594390\pi\)
\(572\) 0.444062 1.59937i 0.0185672 0.0668728i
\(573\) 11.3340 + 3.81886i 0.473483 + 0.159535i
\(574\) 0.155180 + 0.228874i 0.00647710 + 0.00955301i
\(575\) −19.1079 36.0413i −0.796855 1.50303i
\(576\) −4.48123 + 5.27572i −0.186718 + 0.219821i
\(577\) 11.4011 + 10.7997i 0.474635 + 0.449598i 0.887237 0.461313i \(-0.152621\pi\)
−0.412602 + 0.910911i \(0.635380\pi\)
\(578\) 5.86429 + 0.637780i 0.243922 + 0.0265282i
\(579\) 12.8138 18.8989i 0.532522 0.785411i
\(580\) 16.1760 12.2967i 0.671671 0.510591i
\(581\) 8.66648 8.20933i 0.359546 0.340580i
\(582\) −0.102837 1.89671i −0.00426272 0.0786212i
\(583\) 34.4693 11.6141i 1.42757 0.481005i
\(584\) −8.43203 6.40987i −0.348920 0.265242i
\(585\) 0.746656 0.0812037i 0.0308704 0.00335736i
\(586\) −1.68417 + 3.17668i −0.0695723 + 0.131227i
\(587\) 6.24872 + 15.6831i 0.257912 + 0.647311i 0.999729 0.0232922i \(-0.00741481\pi\)
−0.741817 + 0.670603i \(0.766036\pi\)
\(588\) 3.89617 2.34425i 0.160675 0.0966752i
\(589\) −11.0358 −0.454722
\(590\) 6.55067 + 2.83251i 0.269687 + 0.116612i
\(591\) −3.44694 −0.141788
\(592\) −14.0353 + 8.44474i −0.576846 + 0.347077i
\(593\) −2.28451 5.73370i −0.0938138 0.235455i 0.874580 0.484881i \(-0.161137\pi\)
−0.968394 + 0.249427i \(0.919758\pi\)
\(594\) 0.492188 0.928365i 0.0201947 0.0380913i
\(595\) −62.2999 + 6.77552i −2.55405 + 0.277769i
\(596\) 5.41907 + 4.11947i 0.221974 + 0.168740i
\(597\) 11.3992 3.84083i 0.466538 0.157195i
\(598\) −0.00589909 0.108802i −0.000241232 0.00444926i
\(599\) −10.3528 + 9.80671i −0.423005 + 0.400691i −0.869372 0.494159i \(-0.835476\pi\)
0.446367 + 0.894850i \(0.352718\pi\)
\(600\) −9.33273 + 7.09456i −0.381007 + 0.289634i
\(601\) 13.4396 19.8219i 0.548212 0.808552i −0.448134 0.893967i \(-0.647911\pi\)
0.996345 + 0.0854147i \(0.0272215\pi\)
\(602\) 2.23590 + 0.243168i 0.0911283 + 0.00991080i
\(603\) −4.00885 3.79739i −0.163253 0.154642i
\(604\) 9.28989 10.9369i 0.378000 0.445016i
\(605\) 26.6764 + 50.3170i 1.08455 + 2.04568i
\(606\) 0.646651 + 0.953739i 0.0262684 + 0.0387430i
\(607\) 16.2894 + 5.48855i 0.661168 + 0.222773i 0.629827 0.776735i \(-0.283126\pi\)
0.0313409 + 0.999509i \(0.490022\pi\)
\(608\) 1.27374 4.58759i 0.0516569 0.186051i
\(609\) 0.837436 + 5.10813i 0.0339346 + 0.206992i
\(610\) 3.05931 7.67829i 0.123868 0.310885i
\(611\) 1.13473 + 1.33591i 0.0459064 + 0.0540452i
\(612\) 0.706309 13.0271i 0.0285509 0.526590i
\(613\) −7.78187 28.0278i −0.314307 1.13203i −0.936932 0.349511i \(-0.886348\pi\)
0.622625 0.782520i \(-0.286066\pi\)
\(614\) 1.47070 0.680420i 0.0593528 0.0274595i
\(615\) 2.53518 0.558035i 0.102228 0.0225021i
\(616\) −8.77203 1.93087i −0.353435 0.0777970i
\(617\) 1.16360 + 0.538338i 0.0468447 + 0.0216727i 0.443172 0.896437i \(-0.353853\pi\)
−0.396327 + 0.918109i \(0.629715\pi\)
\(618\) −0.415619 + 2.53516i −0.0167186 + 0.101979i
\(619\) −4.71022 2.83404i −0.189320 0.113910i 0.417738 0.908567i \(-0.362823\pi\)
−0.607058 + 0.794658i \(0.707650\pi\)
\(620\) 41.9614 + 25.2473i 1.68521 + 1.01396i
\(621\) −0.476314 + 2.90539i −0.0191138 + 0.116589i
\(622\) −0.0485049 0.0224408i −0.00194487 0.000899793i
\(623\) 24.8592 + 5.47193i 0.995963 + 0.219228i
\(624\) 0.629628 0.138592i 0.0252053 0.00554811i
\(625\) 88.6699 41.0231i 3.54680 1.64092i
\(626\) 1.23028 + 4.43109i 0.0491721 + 0.177102i
\(627\) 0.508407 9.37701i 0.0203038 0.374482i
\(628\) 10.4461 + 12.2981i 0.416844 + 0.490746i
\(629\) 10.8589 27.2537i 0.432971 1.08668i
\(630\) −0.324950 1.98211i −0.0129463 0.0789691i
\(631\) 9.89345 35.6330i 0.393852 1.41853i −0.455281 0.890348i \(-0.650461\pi\)
0.849133 0.528179i \(-0.177125\pi\)
\(632\) 5.13298 + 1.72950i 0.204179 + 0.0687959i
\(633\) 14.3097 + 21.1052i 0.568760 + 0.838858i
\(634\) −0.0950523 0.179288i −0.00377501 0.00712042i
\(635\) 3.69035 4.34462i 0.146447 0.172411i
\(636\) 10.5085 + 9.95420i 0.416690 + 0.394710i
\(637\) −0.400090 0.0435124i −0.0158521 0.00172402i
\(638\) −1.41198 + 2.08251i −0.0559007 + 0.0824474i
\(639\) 1.55919 1.18527i 0.0616806 0.0468884i
\(640\) −20.3671 + 19.2927i −0.805080 + 0.762613i
\(641\) −2.21783 40.9055i −0.0875991 1.61567i −0.630717 0.776013i \(-0.717239\pi\)
0.543118 0.839657i \(-0.317244\pi\)
\(642\) 1.55945 0.525440i 0.0615466 0.0207375i
\(643\) −13.0290 9.90435i −0.513812 0.390590i 0.315891 0.948796i \(-0.397697\pi\)
−0.829702 + 0.558206i \(0.811490\pi\)
\(644\) 12.3649 1.34476i 0.487244 0.0529910i
\(645\) 9.88971 18.6540i 0.389407 0.734499i
\(646\) 1.01109 + 2.53765i 0.0397808 + 0.0998424i
\(647\) 27.3648 16.4649i 1.07582 0.647301i 0.136606 0.990626i \(-0.456381\pi\)
0.939217 + 0.343325i \(0.111553\pi\)
\(648\) 0.846095 0.0332378
\(649\) 37.5899 + 3.13203i 1.47553 + 0.122943i
\(650\) 0.512788 0.0201132
\(651\) −10.6897 + 6.43177i −0.418962 + 0.252081i
\(652\) 1.69628 + 4.25734i 0.0664315 + 0.166730i
\(653\) 3.99868 7.54232i 0.156481 0.295154i −0.792859 0.609405i \(-0.791408\pi\)
0.949340 + 0.314251i \(0.101753\pi\)
\(654\) 3.67335 0.399501i 0.143639 0.0156217i
\(655\) −50.9002 38.6933i −1.98884 1.51187i
\(656\) 2.11162 0.711489i 0.0824451 0.0277790i
\(657\) −0.677733 12.5001i −0.0264409 0.487673i
\(658\) 3.40312 3.22361i 0.132667 0.125669i
\(659\) −26.7047 + 20.3004i −1.04027 + 0.790791i −0.978280 0.207286i \(-0.933537\pi\)
−0.0619874 + 0.998077i \(0.519744\pi\)
\(660\) −23.3856 + 34.4911i −0.910282 + 1.34257i
\(661\) −31.1149 3.38394i −1.21023 0.131620i −0.519331 0.854573i \(-0.673819\pi\)
−0.690897 + 0.722953i \(0.742784\pi\)
\(662\) 1.52664 + 1.44611i 0.0593345 + 0.0562046i
\(663\) −0.747533 + 0.880063i −0.0290318 + 0.0341788i
\(664\) 2.18849 + 4.12794i 0.0849301 + 0.160195i
\(665\) −10.0737 14.8576i −0.390642 0.576154i
\(666\) 0.891079 + 0.300239i 0.0345286 + 0.0116340i
\(667\) 1.88602 6.79283i 0.0730270 0.263020i
\(668\) −0.0475591 0.290098i −0.00184012 0.0112242i
\(669\) −9.57454 + 24.0303i −0.370173 + 0.929065i
\(670\) −3.32146 3.91032i −0.128319 0.151069i
\(671\) 2.36503 43.6205i 0.0913012 1.68395i
\(672\) −1.43990 5.18606i −0.0555455 0.200057i
\(673\) −9.62697 + 4.45391i −0.371092 + 0.171686i −0.596567 0.802563i \(-0.703469\pi\)
0.225474 + 0.974249i \(0.427607\pi\)
\(674\) −6.75852 + 1.48766i −0.260329 + 0.0573026i
\(675\) −13.5317 2.97855i −0.520834 0.114644i
\(676\) 23.0037 + 10.6427i 0.884758 + 0.409333i
\(677\) −1.84180 + 11.2345i −0.0707860 + 0.431776i 0.927529 + 0.373751i \(0.121929\pi\)
−0.998315 + 0.0580248i \(0.981520\pi\)
\(678\) 0.749353 + 0.450870i 0.0287787 + 0.0173156i
\(679\) −16.4436 9.89376i −0.631046 0.379688i
\(680\) 3.96810 24.2043i 0.152170 0.928194i
\(681\) −12.3611 5.71884i −0.473677 0.219146i
\(682\) −5.92218 1.30357i −0.226772 0.0499163i
\(683\) −28.0054 + 6.16445i −1.07160 + 0.235876i −0.715528 0.698584i \(-0.753814\pi\)
−0.356068 + 0.934460i \(0.615883\pi\)
\(684\) 3.39164 1.56914i 0.129683 0.0599975i
\(685\) −0.462064 1.66421i −0.0176546 0.0635860i
\(686\) −0.233565 + 4.30786i −0.00891757 + 0.164475i
\(687\) 5.76975 + 6.79267i 0.220130 + 0.259157i
\(688\) 6.70822 16.8364i 0.255748 0.641880i
\(689\) −0.207262 1.26424i −0.00789604 0.0481637i
\(690\) −0.731833 + 2.63582i −0.0278604 + 0.100344i
\(691\) −10.5199 3.54457i −0.400197 0.134842i 0.112004 0.993708i \(-0.464273\pi\)
−0.512201 + 0.858866i \(0.671170\pi\)
\(692\) 7.12055 + 10.5020i 0.270683 + 0.399227i
\(693\) −4.97256 9.37924i −0.188892 0.356288i
\(694\) 4.58731 5.40060i 0.174132 0.205004i
\(695\) −23.6193 22.3734i −0.895932 0.848672i
\(696\) −2.01409 0.219046i −0.0763440 0.00830291i
\(697\) −2.23967 + 3.30326i −0.0848334 + 0.125120i
\(698\) 1.05311 0.800554i 0.0398608 0.0303014i
\(699\) −20.9542 + 19.8488i −0.792559 + 0.750752i
\(700\) 3.16895 + 58.4478i 0.119775 + 2.20912i
\(701\) 9.77254 3.29275i 0.369104 0.124366i −0.128636 0.991692i \(-0.541060\pi\)
0.497740 + 0.867326i \(0.334163\pi\)
\(702\) −0.0294630 0.0223972i −0.00111201 0.000845327i
\(703\) 8.35427 0.908582i 0.315087 0.0342678i
\(704\) −15.9223 + 30.0327i −0.600095 + 1.13190i
\(705\) −16.2877 40.8791i −0.613432 1.53960i
\(706\) 0.735749 0.442686i 0.0276903 0.0166607i
\(707\) 11.6416 0.437826
\(708\) 5.90562 + 13.8001i 0.221947 + 0.518639i
\(709\) −1.43449 −0.0538733 −0.0269367 0.999637i \(-0.508575\pi\)
−0.0269367 + 0.999637i \(0.508575\pi\)
\(710\) 1.55928 0.938186i 0.0585186 0.0352095i
\(711\) 2.36954 + 5.94711i 0.0888648 + 0.223034i
\(712\) −4.66657 + 8.80209i −0.174887 + 0.329872i
\(713\) 16.8911 1.83702i 0.632578 0.0687970i
\(714\) 2.45835 + 1.86879i 0.0920014 + 0.0699376i
\(715\) 3.49519 1.17767i 0.130713 0.0440422i
\(716\) −0.242291 4.46880i −0.00905485 0.167007i
\(717\) 8.76875 8.30620i 0.327475 0.310201i
\(718\) 1.40238 1.06606i 0.0523362 0.0397849i
\(719\) −12.7946 + 18.8706i −0.477157 + 0.703754i −0.987746 0.156071i \(-0.950117\pi\)
0.510589 + 0.859825i \(0.329428\pi\)
\(720\) −16.0906 1.74996i −0.599660 0.0652170i
\(721\) 18.8429 + 17.8489i 0.701746 + 0.664729i
\(722\) 2.12538 2.50219i 0.0790985 0.0931219i
\(723\) −10.1293 19.1058i −0.376711 0.710552i
\(724\) 9.82379 + 14.4890i 0.365098 + 0.538480i
\(725\) 31.4404 + 10.5935i 1.16767 + 0.393433i
\(726\) 0.750777 2.70405i 0.0278640 0.100357i
\(727\) −6.47847 39.5169i −0.240273 1.46560i −0.781067 0.624447i \(-0.785324\pi\)
0.540794 0.841155i \(-0.318124\pi\)
\(728\) −0.117097 + 0.293890i −0.00433989 + 0.0108923i
\(729\) 0.647386 + 0.762162i 0.0239773 + 0.0282282i
\(730\) 0.629706 11.6142i 0.0233065 0.429863i
\(731\) 8.68403 + 31.2770i 0.321190 + 1.15682i
\(732\) 15.7774 7.29941i 0.583150 0.269794i
\(733\) 25.3258 5.57464i 0.935432 0.205904i 0.279001 0.960291i \(-0.409997\pi\)
0.656430 + 0.754387i \(0.272066\pi\)
\(734\) −4.56509 1.00485i −0.168501 0.0370898i
\(735\) 9.16981 + 4.24241i 0.338234 + 0.156484i
\(736\) −1.18590 + 7.23369i −0.0437130 + 0.266637i
\(737\) −23.2350 13.9800i −0.855871 0.514961i
\(738\) −0.109605 0.0659471i −0.00403461 0.00242755i
\(739\) −2.22551 + 13.5750i −0.0818667 + 0.499365i 0.913784 + 0.406200i \(0.133146\pi\)
−0.995651 + 0.0931644i \(0.970302\pi\)
\(740\) −33.8441 15.6580i −1.24413 0.575598i
\(741\) −0.323023 0.0711028i −0.0118666 0.00261203i
\(742\) −3.34601 + 0.736514i −0.122836 + 0.0270383i
\(743\) −31.9625 + 14.7874i −1.17259 + 0.542499i −0.906812 0.421535i \(-0.861491\pi\)
−0.265779 + 0.964034i \(0.585629\pi\)
\(744\) −1.30629 4.70482i −0.0478908 0.172487i
\(745\) −0.818876 + 15.1033i −0.0300013 + 0.553342i
\(746\) −0.0257771 0.0303472i −0.000943768 0.00111109i
\(747\) −2.04393 + 5.12987i −0.0747834 + 0.187692i
\(748\) −10.3649 63.2228i −0.378976 2.31165i
\(749\) 4.44775 16.0194i 0.162517 0.585335i
\(750\) −7.79735 2.62723i −0.284719 0.0959330i
\(751\) −0.477527 0.704299i −0.0174252 0.0257003i 0.818877 0.573970i \(-0.194597\pi\)
−0.836302 + 0.548269i \(0.815287\pi\)
\(752\) −17.6932 33.3729i −0.645204 1.21698i
\(753\) 8.34397 9.82328i 0.304071 0.357980i
\(754\) 0.0643369 + 0.0609432i 0.00234301 + 0.00221942i
\(755\) 31.6987 + 3.44744i 1.15363 + 0.125465i
\(756\) 2.37076 3.49661i 0.0862237 0.127170i
\(757\) 9.83144 7.47367i 0.357330 0.271635i −0.411072 0.911603i \(-0.634845\pi\)
0.768402 + 0.639968i \(0.221052\pi\)
\(758\) 0.798389 0.756275i 0.0289988 0.0274691i
\(759\) 0.782744 + 14.4369i 0.0284118 + 0.524025i
\(760\) 6.65799 2.24334i 0.241511 0.0813745i
\(761\) 17.8907 + 13.6002i 0.648538 + 0.493006i 0.876964 0.480555i \(-0.159565\pi\)
−0.228426 + 0.973561i \(0.573358\pi\)
\(762\) −0.279248 + 0.0303700i −0.0101161 + 0.00110019i
\(763\) 17.4859 32.9820i 0.633034 1.19403i
\(764\) 8.65105 + 21.7125i 0.312984 + 0.785531i
\(765\) 24.8394 14.9454i 0.898072 0.540352i
\(766\) 4.21600 0.152330
\(767\) 0.323055 1.28868i 0.0116649 0.0465315i
\(768\) −12.4617 −0.449672
\(769\) 26.8165 16.1349i 0.967026 0.581840i 0.0578828 0.998323i \(-0.481565\pi\)
0.909144 + 0.416483i \(0.136737\pi\)
\(770\) −3.65088 9.16303i −0.131569 0.330213i
\(771\) 7.51566 14.1760i 0.270670 0.510538i
\(772\) 44.3597 4.82441i 1.59654 0.173634i
\(773\) −35.9052 27.2945i −1.29142 0.981713i −0.999682 0.0252158i \(-0.991973\pi\)
−0.291740 0.956498i \(-0.594234\pi\)
\(774\) −0.985932 + 0.332199i −0.0354386 + 0.0119406i
\(775\) 4.32896 + 79.8431i 0.155501 + 2.86805i
\(776\) 5.45297 5.16532i 0.195750 0.185424i
\(777\) 7.56274 5.74904i 0.271312 0.206246i
\(778\) 1.85332 2.73345i 0.0664448 0.0979988i
\(779\) −1.13648 0.123600i −0.0407188 0.00442844i
\(780\) 1.06557 + 1.00936i 0.0381534 + 0.0361408i
\(781\) 6.22653 7.33044i 0.222803 0.262304i
\(782\) −1.96997 3.71576i −0.0704460 0.132875i
\(783\) −1.34376 1.98190i −0.0480220 0.0708272i
\(784\) 8.21886 + 2.76926i 0.293531 + 0.0989020i
\(785\) −9.59196 + 34.5471i −0.342352 + 1.23304i
\(786\) 0.509712 + 3.10911i 0.0181808 + 0.110898i
\(787\) 3.29571 8.27161i 0.117479 0.294851i −0.858464 0.512873i \(-0.828581\pi\)
0.975944 + 0.218022i \(0.0699605\pi\)
\(788\) −4.36083 5.13397i −0.155348 0.182890i
\(789\) −0.206661 + 3.81163i −0.00735732 + 0.135698i
\(790\) 1.59129 + 5.73132i 0.0566156 + 0.203911i
\(791\) 8.01879 3.70989i 0.285115 0.131908i
\(792\) 4.05782 0.893193i 0.144188 0.0317382i
\(793\) −1.50266 0.330760i −0.0533609 0.0117456i
\(794\) 0.689960 + 0.319210i 0.0244858 + 0.0113283i
\(795\) −5.20338 + 31.7392i −0.184545 + 1.12567i
\(796\) 20.1421 + 12.1191i 0.713919 + 0.429551i
\(797\) −12.5840 7.57152i −0.445747 0.268197i 0.274935 0.961463i \(-0.411344\pi\)
−0.720682 + 0.693266i \(0.756171\pi\)
\(798\) −0.143104 + 0.872895i −0.00506582 + 0.0309001i
\(799\) 61.4006 + 28.4069i 2.17220 + 1.00497i
\(800\) −33.6905 7.41584i −1.19114 0.262190i
\(801\) −11.4995 + 2.53124i −0.406316 + 0.0894368i
\(802\) −4.17700 + 1.93248i −0.147495 + 0.0682384i
\(803\) −16.4462 59.2340i −0.580375 2.09032i
\(804\) 0.584209 10.7751i 0.0206035 0.380008i
\(805\) 17.8918 + 21.0639i 0.630604 + 0.742404i
\(806\) −0.0790543 + 0.198411i −0.00278457 + 0.00698874i
\(807\) −1.70302 10.3880i −0.0599492 0.365674i
\(808\) −1.21897 + 4.39033i −0.0428832 + 0.154451i
\(809\) −8.75113 2.94860i −0.307673 0.103667i 0.161230 0.986917i \(-0.448454\pi\)
−0.468903 + 0.883250i \(0.655351\pi\)
\(810\) 0.521419 + 0.769036i 0.0183208 + 0.0270212i
\(811\) 15.3214 + 28.8993i 0.538008 + 1.01479i 0.992291 + 0.123934i \(0.0395510\pi\)
−0.454282 + 0.890858i \(0.650104\pi\)
\(812\) −6.54873 + 7.70976i −0.229815 + 0.270560i
\(813\) 5.80398 + 5.49782i 0.203554 + 0.192817i
\(814\) 4.59051 + 0.499248i 0.160897 + 0.0174986i
\(815\) −5.71465 + 8.42847i −0.200175 + 0.295236i
\(816\) 19.8099 15.0591i 0.693484 0.527173i
\(817\) −6.75036 + 6.39428i −0.236165 + 0.223707i
\(818\) 0.357380 + 6.59149i 0.0124955 + 0.230466i
\(819\) −0.354332 + 0.119388i −0.0123814 + 0.00417177i
\(820\) 4.03849 + 3.06998i 0.141030 + 0.107208i
\(821\) −23.1749 + 2.52043i −0.808811 + 0.0879635i −0.503175 0.864185i \(-0.667835\pi\)
−0.305637 + 0.952148i \(0.598869\pi\)
\(822\) −0.0398654 + 0.0751941i −0.00139047 + 0.00262270i
\(823\) 4.63407 + 11.6306i 0.161534 + 0.405419i 0.987357 0.158509i \(-0.0506688\pi\)
−0.825824 + 0.563928i \(0.809290\pi\)
\(824\) −8.70430 + 5.23720i −0.303229 + 0.182447i
\(825\) −68.0414 −2.36890
\(826\) −3.48806 0.676105i −0.121365 0.0235247i
\(827\) 40.1869 1.39744 0.698718 0.715398i \(-0.253754\pi\)
0.698718 + 0.715398i \(0.253754\pi\)
\(828\) −4.92997 + 2.96626i −0.171328 + 0.103085i
\(829\) 15.8480 + 39.7756i 0.550425 + 1.38146i 0.896412 + 0.443223i \(0.146165\pi\)
−0.345987 + 0.938239i \(0.612456\pi\)
\(830\) −2.40329 + 4.53308i −0.0834193 + 0.157345i
\(831\) −8.69452 + 0.945586i −0.301609 + 0.0328020i
\(832\) 0.953129 + 0.724550i 0.0330438 + 0.0251192i
\(833\) −14.7204 + 4.95988i −0.510032 + 0.171850i
\(834\) 0.0867925 + 1.60079i 0.00300538 + 0.0554309i
\(835\) 0.474226 0.449210i 0.0164113 0.0155456i
\(836\) 14.6096 11.1059i 0.505283 0.384106i
\(837\) 3.23860 4.77657i 0.111942 0.165102i
\(838\) 3.05189 + 0.331913i 0.105426 + 0.0114657i
\(839\) −35.4321 33.5630i −1.22325 1.15873i −0.982125 0.188231i \(-0.939724\pi\)
−0.241127 0.970494i \(-0.577517\pi\)
\(840\) 5.14175 6.05333i 0.177407 0.208860i
\(841\) −10.8982 20.5561i −0.375799 0.708833i
\(842\) −3.98337 5.87503i −0.137276 0.202467i
\(843\) −23.9494 8.06948i −0.824860 0.277928i
\(844\) −13.3311 + 48.0142i −0.458875 + 1.65272i
\(845\) 9.11157 + 55.5781i 0.313448 + 1.91195i
\(846\) −0.802601 + 2.01438i −0.0275940 + 0.0692557i
\(847\) −18.3550 21.6091i −0.630684 0.742498i
\(848\) −1.49468 + 27.5678i −0.0513277 + 0.946684i
\(849\) 1.39067 + 5.00873i 0.0477275 + 0.171899i
\(850\) 17.9631 8.31060i 0.616128 0.285051i
\(851\) −12.6356 + 2.78131i −0.433143 + 0.0953421i
\(852\) 3.73795 + 0.822786i 0.128060 + 0.0281882i
\(853\) −20.2791 9.38209i −0.694342 0.321237i 0.0407835 0.999168i \(-0.487015\pi\)
−0.735125 + 0.677931i \(0.762877\pi\)
\(854\) −0.665698 + 4.06058i −0.0227797 + 0.138950i
\(855\) 7.11513 + 4.28103i 0.243332 + 0.146408i
\(856\) 5.57559 + 3.35472i 0.190570 + 0.114662i
\(857\) 1.63214 9.95563i 0.0557530 0.340078i −0.944190 0.329401i \(-0.893153\pi\)
0.999943 0.0106768i \(-0.00339859\pi\)
\(858\) −0.164946 0.0763123i −0.00563118 0.00260526i
\(859\) 19.5509 + 4.30347i 0.667067 + 0.146833i 0.535579 0.844485i \(-0.320093\pi\)
0.131488 + 0.991318i \(0.458025\pi\)
\(860\) 40.2955 8.86972i 1.37407 0.302455i
\(861\) −1.17288 + 0.542631i −0.0399716 + 0.0184928i
\(862\) 1.62283 + 5.84489i 0.0552737 + 0.199078i
\(863\) −0.240208 + 4.43038i −0.00817678 + 0.150812i 0.991594 + 0.129390i \(0.0413020\pi\)
−0.999771 + 0.0214216i \(0.993181\pi\)
\(864\) 1.61183 + 1.89759i 0.0548356 + 0.0645575i
\(865\) −10.4356 + 26.1914i −0.354821 + 0.890534i
\(866\) 0.611409 + 3.72943i 0.0207765 + 0.126731i
\(867\) −7.37530 + 26.5634i −0.250478 + 0.902141i
\(868\) −23.1035 7.78449i −0.784185 0.264223i
\(869\) 17.6423 + 26.0205i 0.598475 + 0.882685i
\(870\) −1.04212 1.96565i −0.0353312 0.0666417i
\(871\) −0.618306 + 0.727926i −0.0209505 + 0.0246648i
\(872\) 10.6074 + 10.0479i 0.359213 + 0.340264i
\(873\) 8.82523 + 0.959802i 0.298689 + 0.0324844i
\(874\) 0.676058 0.997111i 0.0228680 0.0337278i
\(875\) −66.1774 + 50.3068i −2.23721 + 1.70068i
\(876\) 17.7605 16.8237i 0.600072 0.568419i
\(877\) 1.10699 + 20.4173i 0.0373804 + 0.689442i 0.955833 + 0.293910i \(0.0949567\pi\)
−0.918453 + 0.395531i \(0.870560\pi\)
\(878\) 2.21466 0.746206i 0.0747412 0.0251832i
\(879\) −13.3772 10.1691i −0.451202 0.342995i
\(880\) −79.0167 + 8.59359i −2.66365 + 0.289690i
\(881\) 14.1264 26.6453i 0.475932 0.897703i −0.523037 0.852310i \(-0.675201\pi\)
0.998969 0.0453928i \(-0.0144540\pi\)
\(882\) −0.184281 0.462510i −0.00620506 0.0155735i
\(883\) −0.317481 + 0.191022i −0.0106841 + 0.00642840i −0.520886 0.853626i \(-0.674398\pi\)
0.510202 + 0.860055i \(0.329571\pi\)
\(884\) −2.25652 −0.0758950
\(885\) −18.0162 + 28.0695i −0.605607 + 0.943547i
\(886\) −0.116184 −0.00390327
\(887\) 25.1952 15.1594i 0.845971 0.509004i −0.0253722 0.999678i \(-0.508077\pi\)
0.871343 + 0.490674i \(0.163249\pi\)
\(888\) 1.37623 + 3.45408i 0.0461832 + 0.115911i
\(889\) −1.32928 + 2.50729i −0.0445826 + 0.0840917i
\(890\) −10.8763 + 1.18287i −0.364573 + 0.0396497i
\(891\) 3.90941 + 2.97186i 0.130970 + 0.0995609i
\(892\) −47.9045 + 16.1409i −1.60396 + 0.540437i
\(893\) 1.04916 + 19.3506i 0.0351087 + 0.647542i
\(894\) 0.541105 0.512562i 0.0180973 0.0171426i
\(895\) 7.91662 6.01806i 0.264623 0.201162i
\(896\) 7.83773 11.5598i 0.261840 0.386185i
\(897\) 0.506248 + 0.0550578i 0.0169031 + 0.00183833i
\(898\) −4.79168 4.53892i −0.159901 0.151466i
\(899\) −8.94595 + 10.5320i −0.298364 + 0.351261i
\(900\) −12.6830 23.9227i −0.422767 0.797424i
\(901\) −27.7496 40.9275i −0.924472 1.36349i
\(902\) −0.595276 0.200572i −0.0198205 0.00667831i
\(903\) −2.81200 + 10.1279i −0.0935776 + 0.337036i
\(904\) 0.559459 + 3.41255i 0.0186073 + 0.113500i
\(905\) −14.3974 + 36.1347i −0.478585 + 1.20116i
\(906\) −1.01718 1.19751i −0.0337935 0.0397848i
\(907\) 0.447723 8.25776i 0.0148664 0.274194i −0.981644 0.190723i \(-0.938917\pi\)
0.996510 0.0834710i \(-0.0266006\pi\)
\(908\) −7.12058 25.6460i −0.236305 0.851093i
\(909\) −4.88749 + 2.26119i −0.162108 + 0.0749991i
\(910\) −0.339286 + 0.0746826i −0.0112472 + 0.00247570i
\(911\) −55.6469 12.2488i −1.84367 0.405821i −0.850843 0.525420i \(-0.823908\pi\)
−0.992822 + 0.119598i \(0.961839\pi\)
\(912\) 6.46907 + 2.99291i 0.214212 + 0.0991052i
\(913\) −4.38712 + 26.7602i −0.145192 + 0.885634i
\(914\) −1.74341 1.04897i −0.0576668 0.0346970i
\(915\) 33.0986 + 19.9148i 1.09421 + 0.658361i
\(916\) −2.81771 + 17.1873i −0.0930997 + 0.567883i
\(917\) 28.8886 + 13.3653i 0.953984 + 0.441360i
\(918\) −1.39508 0.307079i −0.0460444 0.0101351i
\(919\) −28.5425 + 6.28268i −0.941531 + 0.207247i −0.659112 0.752045i \(-0.729068\pi\)
−0.282419 + 0.959291i \(0.591137\pi\)
\(920\) −9.81715 + 4.54190i −0.323662 + 0.149742i
\(921\) 2.02606 + 7.29722i 0.0667611 + 0.240452i
\(922\) −0.0935094 + 1.72468i −0.00307957 + 0.0567993i
\(923\) −0.219307 0.258188i −0.00721858 0.00849837i
\(924\) 7.67876 19.2722i 0.252613 0.634010i
\(925\) −9.85062 60.0861i −0.323886 1.97562i
\(926\) −0.825575 + 2.97345i −0.0271301 + 0.0977137i
\(927\) −11.3777 3.83360i −0.373693 0.125912i
\(928\) −3.34563 4.93443i −0.109826 0.161981i
\(929\) 16.3946 + 30.9234i 0.537888 + 1.01456i 0.992310 + 0.123778i \(0.0395010\pi\)
−0.454422 + 0.890787i \(0.650154\pi\)
\(930\) 3.47130 4.08673i 0.113828 0.134009i
\(931\) −3.23032 3.05992i −0.105869 0.100285i
\(932\) −56.0732 6.09833i −1.83674 0.199757i
\(933\) 0.140169 0.206734i 0.00458892 0.00676816i
\(934\) 3.57670 2.71894i 0.117033 0.0889664i
\(935\) 103.351 97.8992i 3.37994 3.20165i
\(936\) −0.00792287 0.146129i −0.000258967 0.00477637i
\(937\) 46.9755 15.8279i 1.53462 0.517074i 0.579929 0.814667i \(-0.303080\pi\)
0.954693 + 0.297592i \(0.0961836\pi\)
\(938\) 2.03337 + 1.54573i 0.0663919 + 0.0504698i
\(939\) −21.3660 + 2.32369i −0.697254 + 0.0758309i
\(940\) 40.2804 75.9770i 1.31380 2.47810i
\(941\) 13.2789 + 33.3276i 0.432881 + 1.08645i 0.970035 + 0.242965i \(0.0781200\pi\)
−0.537154 + 0.843484i \(0.680501\pi\)
\(942\) 1.51386 0.910857i 0.0493241 0.0296773i
\(943\) 1.76005 0.0573152
\(944\) −12.7691 + 25.6254i −0.415600 + 0.834036i
\(945\) 9.38702 0.305360
\(946\) −4.37777 + 2.63402i −0.142334 + 0.0856393i
\(947\) −11.3301 28.4365i −0.368180 0.924063i −0.990021 0.140919i \(-0.954994\pi\)
0.621841 0.783144i \(-0.286385\pi\)
\(948\) −5.86001 + 11.0531i −0.190324 + 0.358989i
\(949\) −2.15253 + 0.234102i −0.0698741 + 0.00759927i
\(950\) 4.51339 + 3.43099i 0.146434 + 0.111316i
\(951\) 0.898728 0.302817i 0.0291433 0.00981951i
\(952\) 0.661073 + 12.1928i 0.0214255 + 0.395170i
\(953\) 26.0610 24.6863i 0.844199 0.799667i −0.137421 0.990513i \(-0.543881\pi\)
0.981620 + 0.190845i \(0.0611229\pi\)
\(954\) 1.26171 0.959124i 0.0408492 0.0310528i
\(955\) −29.1448 + 42.9853i −0.943102 + 1.39097i
\(956\) 23.4651 + 2.55199i 0.758916 + 0.0825371i
\(957\) −8.53680 8.08649i −0.275956 0.261399i
\(958\) −4.85052 + 5.71047i −0.156713 + 0.184497i
\(959\) 0.402759 + 0.759683i 0.0130058 + 0.0245315i
\(960\) −16.8679 24.8783i −0.544410 0.802945i
\(961\) −2.18351 0.735711i −0.0704359 0.0237326i
\(962\) 0.0435101 0.156709i 0.00140282 0.00505251i
\(963\) 1.24421 + 7.58934i 0.0400941 + 0.244563i
\(964\) 15.6419 39.2582i 0.503791 1.26442i
\(965\) 64.1879 + 75.5678i 2.06628 + 2.43261i
\(966\) 0.0737291 1.35985i 0.00237220 0.0437526i
\(967\) 0.539163 + 1.94189i 0.0173383 + 0.0624469i 0.971713 0.236164i \(-0.0758904\pi\)
−0.954375 + 0.298611i \(0.903477\pi\)
\(968\) 10.0713 4.65947i 0.323703 0.149761i
\(969\) −12.4679 + 2.74439i −0.400527 + 0.0881626i
\(970\) 8.05536 + 1.77312i 0.258642 + 0.0569314i
\(971\) −8.80596 4.07407i −0.282597 0.130743i 0.273471 0.961880i \(-0.411828\pi\)
−0.556067 + 0.831137i \(0.687690\pi\)
\(972\) −0.316157 + 1.92847i −0.0101407 + 0.0618558i
\(973\) 13.8781 + 8.35017i 0.444911 + 0.267694i
\(974\) −3.56309 2.14384i −0.114169 0.0686931i
\(975\) −0.387712 + 2.36494i −0.0124167 + 0.0757387i
\(976\) 30.0932 + 13.9226i 0.963259 + 0.445651i
\(977\) −32.9471 7.25220i −1.05407 0.232019i −0.346054 0.938214i \(-0.612479\pi\)
−0.708017 + 0.706196i \(0.750410\pi\)
\(978\) 0.490057 0.107870i 0.0156703 0.00344929i
\(979\) −52.4788 + 24.2793i −1.67723 + 0.775969i
\(980\) 5.28226 + 19.0250i 0.168736 + 0.607731i
\(981\) −0.934902 + 17.2433i −0.0298491 + 0.550535i
\(982\) −5.46651 6.43568i −0.174443 0.205371i
\(983\) 15.9467 40.0233i 0.508622 1.27654i −0.420676 0.907211i \(-0.638207\pi\)
0.929297 0.369333i \(-0.120414\pi\)
\(984\) −0.0818299 0.499140i −0.00260864 0.0159120i
\(985\) 4.00427 14.4221i 0.127587 0.459526i
\(986\) 3.24142 + 1.09216i 0.103228 + 0.0347815i
\(987\) 12.2940 + 18.1322i 0.391321 + 0.577156i
\(988\) −0.302765 0.571075i −0.00963223 0.0181683i
\(989\) 9.26755 10.9106i 0.294691 0.346937i
\(990\) 3.31254 + 3.13780i 0.105279 + 0.0997259i
\(991\) 42.4218 + 4.61364i 1.34757 + 0.146557i 0.753284 0.657695i \(-0.228469\pi\)
0.594288 + 0.804253i \(0.297434\pi\)
\(992\) 8.06330 11.8925i 0.256010 0.377586i
\(993\) −7.82361 + 5.94735i −0.248275 + 0.188733i
\(994\) −0.657712 + 0.623018i −0.0208614 + 0.0197609i
\(995\) 2.82784 + 52.1563i 0.0896484 + 1.65347i
\(996\) −10.2264 + 3.44568i −0.324036 + 0.109181i
\(997\) −11.4207 8.68178i −0.361697 0.274955i 0.408504 0.912757i \(-0.366051\pi\)
−0.770200 + 0.637802i \(0.779844\pi\)
\(998\) 3.79995 0.413270i 0.120285 0.0130818i
\(999\) −2.05841 + 3.88258i −0.0651253 + 0.122839i
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 177.2.e.b.163.3 yes 140
3.2 odd 2 531.2.i.b.163.3 140
59.21 even 29 inner 177.2.e.b.139.3 140
177.80 odd 58 531.2.i.b.316.3 140
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
177.2.e.b.139.3 140 59.21 even 29 inner
177.2.e.b.163.3 yes 140 1.1 even 1 trivial
531.2.i.b.163.3 140 3.2 odd 2
531.2.i.b.316.3 140 177.80 odd 58