Properties

Label 731.2.v.a.36.15
Level $731$
Weight $2$
Character 731.36
Analytic conductor $5.837$
Analytic rank $0$
Dimension $512$
CM no
Inner twists $4$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [731,2,Mod(36,731)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(731, base_ring=CyclotomicField(24))
 
chi = DirichletCharacter(H, H._module([21, 8]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("731.36");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 731 = 17 \cdot 43 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 731.v (of order \(24\), degree \(8\), minimal)

Newform invariants

comment: select newform
 
sage: f = N[0] # Warning: the index may be different
 
gp: f = lf[1] \\ Warning: the index may be different
 
Self dual: no
Analytic conductor: \(5.83706438776\)
Analytic rank: \(0\)
Dimension: \(512\)
Relative dimension: \(64\) over \(\Q(\zeta_{24})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{24}]$

Embedding invariants

Embedding label 36.15
Character \(\chi\) \(=\) 731.36
Dual form 731.2.v.a.264.15

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-1.17911 - 1.17911i) q^{2} +(-2.26634 - 1.73903i) q^{3} +0.780582i q^{4} +(-2.39062 + 3.11551i) q^{5} +(0.621763 + 4.72276i) q^{6} +(1.24532 + 1.62293i) q^{7} +(-1.43782 + 1.43782i) q^{8} +(1.33564 + 4.98469i) q^{9} +O(q^{10})\) \(q+(-1.17911 - 1.17911i) q^{2} +(-2.26634 - 1.73903i) q^{3} +0.780582i q^{4} +(-2.39062 + 3.11551i) q^{5} +(0.621763 + 4.72276i) q^{6} +(1.24532 + 1.62293i) q^{7} +(-1.43782 + 1.43782i) q^{8} +(1.33564 + 4.98469i) q^{9} +(6.49231 - 0.854729i) q^{10} +(3.10948 + 1.28799i) q^{11} +(1.35745 - 1.76907i) q^{12} +(-5.48564 - 3.16714i) q^{13} +(0.445244 - 3.38197i) q^{14} +(10.8359 - 2.90348i) q^{15} +4.95186 q^{16} +(-4.09802 + 0.454153i) q^{17} +(4.30261 - 7.45234i) q^{18} +(-0.682072 + 2.54553i) q^{19} +(-2.43191 - 1.86607i) q^{20} -5.84376i q^{21} +(-2.14773 - 5.18508i) q^{22} +(-0.110496 - 0.839298i) q^{23} +(5.75901 - 0.758189i) q^{24} +(-2.69727 - 10.0664i) q^{25} +(2.73376 + 10.2025i) q^{26} +(2.36189 - 5.70210i) q^{27} +(-1.26683 + 0.972072i) q^{28} +(7.09823 + 0.934499i) q^{29} +(-16.2002 - 9.35319i) q^{30} +(-4.55715 - 3.49683i) q^{31} +(-2.96312 - 2.96312i) q^{32} +(-4.80730 - 8.32649i) q^{33} +(5.36749 + 4.29650i) q^{34} -8.03333 q^{35} +(-3.89096 + 1.04258i) q^{36} +(0.235362 + 0.180599i) q^{37} +(3.80568 - 2.19721i) q^{38} +(6.92461 + 16.7175i) q^{39} +(-1.04227 - 7.91684i) q^{40} +(-0.146038 + 0.352567i) q^{41} +(-6.89041 + 6.89041i) q^{42} +(5.67955 + 3.27761i) q^{43} +(-1.00538 + 2.42720i) q^{44} +(-18.7229 - 7.75527i) q^{45} +(-0.859335 + 1.11991i) q^{46} -1.65780i q^{47} +(-11.2226 - 8.61141i) q^{48} +(0.728650 - 2.71936i) q^{49} +(-8.68894 + 15.0497i) q^{50} +(10.0773 + 6.09730i) q^{51} +(2.47221 - 4.28199i) q^{52} +(-2.46670 + 9.20585i) q^{53} +(-9.50829 + 3.93846i) q^{54} +(-11.4463 + 6.60853i) q^{55} +(-4.12403 - 0.542939i) q^{56} +(5.97255 - 4.58290i) q^{57} +(-7.26769 - 9.47144i) q^{58} +(-6.65532 + 6.65532i) q^{59} +(2.26640 + 8.45833i) q^{60} +(-1.03942 - 1.35460i) q^{61} +(1.25024 + 9.49650i) q^{62} +(-6.42650 + 8.37517i) q^{63} -2.91605i q^{64} +(22.9813 - 9.51918i) q^{65} +(-4.14950 + 15.4861i) q^{66} +(-4.32758 - 7.49558i) q^{67} +(-0.354503 - 3.19884i) q^{68} +(-1.20914 + 2.09429i) q^{69} +(9.47215 + 9.47215i) q^{70} +(1.92194 - 14.5986i) q^{71} +(-9.08752 - 5.24668i) q^{72} +(5.84018 + 0.768874i) q^{73} +(-0.0645706 - 0.490462i) q^{74} +(-11.3927 + 27.5045i) q^{75} +(-1.98699 - 0.532413i) q^{76} +(1.78197 + 6.65041i) q^{77} +(11.5468 - 27.8766i) q^{78} +(4.32721 - 3.32039i) q^{79} +(-11.8380 + 15.4276i) q^{80} +(-1.86149 + 1.07473i) q^{81} +(0.587908 - 0.243519i) q^{82} +(-0.555392 + 2.07275i) q^{83} +4.56153 q^{84} +(8.38187 - 13.8531i) q^{85} +(-2.83214 - 10.5614i) q^{86} +(-14.4619 - 14.4619i) q^{87} +(-6.32278 + 2.61898i) q^{88} +(-0.453231 + 0.261673i) q^{89} +(12.9320 + 31.2205i) q^{90} +(-1.69133 - 12.8469i) q^{91} +(0.655141 - 0.0862509i) q^{92} +(4.24700 + 15.8500i) q^{93} +(-1.95472 + 1.95472i) q^{94} +(-6.30005 - 8.21039i) q^{95} +(1.56250 + 11.8684i) q^{96} +(-6.99847 - 16.8958i) q^{97} +(-4.06557 + 2.34726i) q^{98} +(-2.26706 + 17.2201i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 512 q - 16 q^{2} - 4 q^{3} - 12 q^{5} - 4 q^{6} - 4 q^{7} + 16 q^{8} - 28 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 512 q - 16 q^{2} - 4 q^{3} - 12 q^{5} - 4 q^{6} - 4 q^{7} + 16 q^{8} - 28 q^{9} - 4 q^{10} - 16 q^{11} + 32 q^{12} + 12 q^{14} - 4 q^{15} - 496 q^{16} - 4 q^{17} - 32 q^{18} - 4 q^{19} + 12 q^{20} - 16 q^{22} + 36 q^{24} + 4 q^{25} + 36 q^{26} - 112 q^{27} + 28 q^{28} - 4 q^{29} - 12 q^{31} + 16 q^{32} + 32 q^{33} + 12 q^{34} - 96 q^{35} - 52 q^{36} + 28 q^{37} - 40 q^{39} + 40 q^{40} - 32 q^{41} + 32 q^{42} + 44 q^{43} + 112 q^{44} + 16 q^{45} - 20 q^{46} - 104 q^{48} + 16 q^{49} - 16 q^{50} - 16 q^{51} + 88 q^{52} - 8 q^{53} - 104 q^{54} - 44 q^{56} - 40 q^{57} - 32 q^{58} - 40 q^{59} - 32 q^{60} - 8 q^{61} + 16 q^{62} + 8 q^{63} - 56 q^{65} - 100 q^{66} - 72 q^{67} + 12 q^{68} - 80 q^{69} - 48 q^{70} + 44 q^{71} + 52 q^{73} - 68 q^{74} + 96 q^{75} - 8 q^{76} + 36 q^{77} + 40 q^{78} + 60 q^{79} + 76 q^{80} - 136 q^{82} - 24 q^{83} + 96 q^{84} - 56 q^{85} - 40 q^{86} - 56 q^{87} - 24 q^{88} + 96 q^{90} - 44 q^{91} - 44 q^{92} - 4 q^{93} + 88 q^{94} - 20 q^{95} + 40 q^{96} - 152 q^{97} - 88 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/731\mathbb{Z}\right)^\times\).

\(n\) \(173\) \(562\)
\(\chi(n)\) \(e\left(\frac{7}{8}\right)\) \(e\left(\frac{1}{3}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.17911 1.17911i −0.833754 0.833754i 0.154274 0.988028i \(-0.450696\pi\)
−0.988028 + 0.154274i \(0.950696\pi\)
\(3\) −2.26634 1.73903i −1.30847 1.00403i −0.998581 0.0532563i \(-0.983040\pi\)
−0.309893 0.950771i \(-0.600293\pi\)
\(4\) 0.780582i 0.390291i
\(5\) −2.39062 + 3.11551i −1.06912 + 1.39330i −0.154968 + 0.987919i \(0.549528\pi\)
−0.914148 + 0.405380i \(0.867139\pi\)
\(6\) 0.621763 + 4.72276i 0.253834 + 1.92806i
\(7\) 1.24532 + 1.62293i 0.470686 + 0.613410i 0.967013 0.254726i \(-0.0819852\pi\)
−0.496328 + 0.868135i \(0.665319\pi\)
\(8\) −1.43782 + 1.43782i −0.508347 + 0.508347i
\(9\) 1.33564 + 4.98469i 0.445214 + 1.66156i
\(10\) 6.49231 0.854729i 2.05305 0.270289i
\(11\) 3.10948 + 1.28799i 0.937543 + 0.388343i 0.798535 0.601948i \(-0.205609\pi\)
0.139008 + 0.990291i \(0.455609\pi\)
\(12\) 1.35745 1.76907i 0.391863 0.510686i
\(13\) −5.48564 3.16714i −1.52144 0.878406i −0.999680 0.0253156i \(-0.991941\pi\)
−0.521764 0.853090i \(-0.674726\pi\)
\(14\) 0.445244 3.38197i 0.118997 0.903869i
\(15\) 10.8359 2.90348i 2.79782 0.749674i
\(16\) 4.95186 1.23796
\(17\) −4.09802 + 0.454153i −0.993915 + 0.110148i
\(18\) 4.30261 7.45234i 1.01414 1.75653i
\(19\) −0.682072 + 2.54553i −0.156478 + 0.583984i 0.842496 + 0.538702i \(0.181085\pi\)
−0.998974 + 0.0452818i \(0.985581\pi\)
\(20\) −2.43191 1.86607i −0.543792 0.417267i
\(21\) 5.84376i 1.27521i
\(22\) −2.14773 5.18508i −0.457897 1.10546i
\(23\) −0.110496 0.839298i −0.0230399 0.175006i 0.976056 0.217520i \(-0.0697966\pi\)
−0.999096 + 0.0425140i \(0.986463\pi\)
\(24\) 5.75901 0.758189i 1.17555 0.154765i
\(25\) −2.69727 10.0664i −0.539455 2.01327i
\(26\) 2.73376 + 10.2025i 0.536135 + 2.00088i
\(27\) 2.36189 5.70210i 0.454545 1.09737i
\(28\) −1.26683 + 0.972072i −0.239408 + 0.183704i
\(29\) 7.09823 + 0.934499i 1.31811 + 0.173532i 0.756567 0.653917i \(-0.226875\pi\)
0.561541 + 0.827449i \(0.310209\pi\)
\(30\) −16.2002 9.35319i −2.95774 1.70765i
\(31\) −4.55715 3.49683i −0.818489 0.628049i 0.112272 0.993678i \(-0.464187\pi\)
−0.930761 + 0.365629i \(0.880854\pi\)
\(32\) −2.96312 2.96312i −0.523810 0.523810i
\(33\) −4.80730 8.32649i −0.836844 1.44946i
\(34\) 5.36749 + 4.29650i 0.920517 + 0.736844i
\(35\) −8.03333 −1.35788
\(36\) −3.89096 + 1.04258i −0.648493 + 0.173763i
\(37\) 0.235362 + 0.180599i 0.0386932 + 0.0296904i 0.627927 0.778272i \(-0.283904\pi\)
−0.589234 + 0.807963i \(0.700570\pi\)
\(38\) 3.80568 2.19721i 0.617363 0.356435i
\(39\) 6.92461 + 16.7175i 1.10883 + 2.67694i
\(40\) −1.04227 7.91684i −0.164798 1.25176i
\(41\) −0.146038 + 0.352567i −0.0228073 + 0.0550617i −0.934873 0.354983i \(-0.884487\pi\)
0.912066 + 0.410044i \(0.134487\pi\)
\(42\) −6.89041 + 6.89041i −1.06321 + 1.06321i
\(43\) 5.67955 + 3.27761i 0.866123 + 0.499831i
\(44\) −1.00538 + 2.42720i −0.151567 + 0.365915i
\(45\) −18.7229 7.75527i −2.79104 1.15609i
\(46\) −0.859335 + 1.11991i −0.126702 + 0.165121i
\(47\) 1.65780i 0.241815i −0.992664 0.120907i \(-0.961420\pi\)
0.992664 0.120907i \(-0.0385804\pi\)
\(48\) −11.2226 8.61141i −1.61984 1.24295i
\(49\) 0.728650 2.71936i 0.104093 0.388480i
\(50\) −8.68894 + 15.0497i −1.22880 + 2.12835i
\(51\) 10.0773 + 6.09730i 1.41110 + 0.853792i
\(52\) 2.47221 4.28199i 0.342834 0.593806i
\(53\) −2.46670 + 9.20585i −0.338827 + 1.26452i 0.560832 + 0.827929i \(0.310481\pi\)
−0.899660 + 0.436592i \(0.856185\pi\)
\(54\) −9.50829 + 3.93846i −1.29391 + 0.535957i
\(55\) −11.4463 + 6.60853i −1.54342 + 0.891094i
\(56\) −4.12403 0.542939i −0.551097 0.0725533i
\(57\) 5.97255 4.58290i 0.791084 0.607020i
\(58\) −7.26769 9.47144i −0.954294 1.24366i
\(59\) −6.65532 + 6.65532i −0.866448 + 0.866448i −0.992077 0.125629i \(-0.959905\pi\)
0.125629 + 0.992077i \(0.459905\pi\)
\(60\) 2.26640 + 8.45833i 0.292591 + 1.09197i
\(61\) −1.03942 1.35460i −0.133085 0.173439i 0.722057 0.691833i \(-0.243197\pi\)
−0.855142 + 0.518394i \(0.826530\pi\)
\(62\) 1.25024 + 9.49650i 0.158780 + 1.20606i
\(63\) −6.42650 + 8.37517i −0.809662 + 1.05517i
\(64\) 2.91605i 0.364507i
\(65\) 22.9813 9.51918i 2.85048 1.18071i
\(66\) −4.14950 + 15.4861i −0.510768 + 1.90621i
\(67\) −4.32758 7.49558i −0.528698 0.915731i −0.999440 0.0334605i \(-0.989347\pi\)
0.470742 0.882271i \(-0.343986\pi\)
\(68\) −0.354503 3.19884i −0.0429898 0.387916i
\(69\) −1.20914 + 2.09429i −0.145563 + 0.252123i
\(70\) 9.47215 + 9.47215i 1.13214 + 1.13214i
\(71\) 1.92194 14.5986i 0.228093 1.73254i −0.368180 0.929755i \(-0.620019\pi\)
0.596273 0.802782i \(-0.296648\pi\)
\(72\) −9.08752 5.24668i −1.07097 0.618327i
\(73\) 5.84018 + 0.768874i 0.683541 + 0.0899899i 0.464296 0.885680i \(-0.346307\pi\)
0.219245 + 0.975670i \(0.429641\pi\)
\(74\) −0.0645706 0.490462i −0.00750618 0.0570151i
\(75\) −11.3927 + 27.5045i −1.31552 + 3.17594i
\(76\) −1.98699 0.532413i −0.227924 0.0610720i
\(77\) 1.78197 + 6.65041i 0.203075 + 0.757885i
\(78\) 11.5468 27.8766i 1.30742 3.15640i
\(79\) 4.32721 3.32039i 0.486850 0.373573i −0.335973 0.941872i \(-0.609065\pi\)
0.822822 + 0.568299i \(0.192398\pi\)
\(80\) −11.8380 + 15.4276i −1.32353 + 1.72485i
\(81\) −1.86149 + 1.07473i −0.206833 + 0.119415i
\(82\) 0.587908 0.243519i 0.0649236 0.0268922i
\(83\) −0.555392 + 2.07275i −0.0609622 + 0.227514i −0.989685 0.143261i \(-0.954241\pi\)
0.928723 + 0.370775i \(0.120908\pi\)
\(84\) 4.56153 0.497704
\(85\) 8.38187 13.8531i 0.909142 1.50258i
\(86\) −2.83214 10.5614i −0.305398 1.13887i
\(87\) −14.4619 14.4619i −1.55048 1.55048i
\(88\) −6.32278 + 2.61898i −0.674010 + 0.279184i
\(89\) −0.453231 + 0.261673i −0.0480424 + 0.0277373i −0.523829 0.851824i \(-0.675497\pi\)
0.475786 + 0.879561i \(0.342164\pi\)
\(90\) 12.9320 + 31.2205i 1.36315 + 3.29093i
\(91\) −1.69133 12.8469i −0.177299 1.34672i
\(92\) 0.655141 0.0862509i 0.0683032 0.00899228i
\(93\) 4.24700 + 15.8500i 0.440393 + 1.64357i
\(94\) −1.95472 + 1.95472i −0.201614 + 0.201614i
\(95\) −6.30005 8.21039i −0.646372 0.842368i
\(96\) 1.56250 + 11.8684i 0.159472 + 1.21131i
\(97\) −6.99847 16.8958i −0.710587 1.71551i −0.698529 0.715582i \(-0.746162\pi\)
−0.0120582 0.999927i \(-0.503838\pi\)
\(98\) −4.06557 + 2.34726i −0.410684 + 0.237109i
\(99\) −2.26706 + 17.2201i −0.227849 + 1.73068i
\(100\) 7.85762 2.10544i 0.785762 0.210544i
\(101\) 4.21803 7.30583i 0.419709 0.726958i −0.576201 0.817308i \(-0.695465\pi\)
0.995910 + 0.0903505i \(0.0287987\pi\)
\(102\) −4.69285 19.0716i −0.464661 1.88837i
\(103\) −0.345442 + 0.598324i −0.0340374 + 0.0589546i −0.882542 0.470233i \(-0.844170\pi\)
0.848505 + 0.529188i \(0.177503\pi\)
\(104\) 12.4412 3.33360i 1.21996 0.326886i
\(105\) 18.2063 + 13.9702i 1.77675 + 1.36335i
\(106\) 13.7632 7.94617i 1.33680 0.771801i
\(107\) −1.27648 3.08169i −0.123402 0.297918i 0.850091 0.526636i \(-0.176547\pi\)
−0.973493 + 0.228717i \(0.926547\pi\)
\(108\) 4.45095 + 1.84365i 0.428293 + 0.177405i
\(109\) −11.9027 + 1.56702i −1.14007 + 0.150093i −0.676829 0.736140i \(-0.736647\pi\)
−0.463240 + 0.886233i \(0.653313\pi\)
\(110\) 21.2886 + 5.70426i 2.02979 + 0.543880i
\(111\) −0.219343 0.818601i −0.0208192 0.0776982i
\(112\) 6.16663 + 8.03651i 0.582692 + 0.759379i
\(113\) −1.15588 0.478782i −0.108736 0.0450400i 0.327652 0.944798i \(-0.393743\pi\)
−0.436388 + 0.899758i \(0.643743\pi\)
\(114\) −12.4460 1.63855i −1.16567 0.153464i
\(115\) 2.87900 + 1.66219i 0.268468 + 0.155000i
\(116\) −0.729453 + 5.54075i −0.0677281 + 0.514446i
\(117\) 8.46033 31.5744i 0.782158 2.91905i
\(118\) 15.6946 1.44481
\(119\) −5.84039 6.08523i −0.535388 0.557832i
\(120\) −11.4055 + 19.7548i −1.04117 + 1.80336i
\(121\) 0.231764 + 0.231764i 0.0210694 + 0.0210694i
\(122\) −0.371630 + 2.82281i −0.0336458 + 0.255566i
\(123\) 0.944096 0.545074i 0.0851262 0.0491476i
\(124\) 2.72956 3.55723i 0.245122 0.319449i
\(125\) 19.6696 + 8.14741i 1.75930 + 0.728726i
\(126\) 17.4527 2.29770i 1.55481 0.204695i
\(127\) 10.0949 10.0949i 0.895774 0.895774i −0.0992852 0.995059i \(-0.531656\pi\)
0.995059 + 0.0992852i \(0.0316556\pi\)
\(128\) −9.36457 + 9.36457i −0.827719 + 0.827719i
\(129\) −7.17196 17.3051i −0.631456 1.52363i
\(130\) −38.3215 15.8733i −3.36102 1.39218i
\(131\) −2.88963 6.97619i −0.252468 0.609512i 0.745934 0.666020i \(-0.232003\pi\)
−0.998402 + 0.0565076i \(0.982003\pi\)
\(132\) 6.49951 3.75249i 0.565710 0.326613i
\(133\) −4.98061 + 2.06304i −0.431873 + 0.178888i
\(134\) −3.73541 + 13.9408i −0.322691 + 1.20430i
\(135\) 12.1186 + 20.9900i 1.04300 + 1.80653i
\(136\) 5.23923 6.54521i 0.449260 0.561248i
\(137\) 1.22628 0.104769 0.0523843 0.998627i \(-0.483318\pi\)
0.0523843 + 0.998627i \(0.483318\pi\)
\(138\) 3.89510 1.04369i 0.331573 0.0888447i
\(139\) 12.6085 + 9.67484i 1.06944 + 0.820610i 0.984431 0.175771i \(-0.0562417\pi\)
0.0850081 + 0.996380i \(0.472908\pi\)
\(140\) 6.27068i 0.529969i
\(141\) −2.88296 + 3.75714i −0.242789 + 0.316409i
\(142\) −19.4795 + 14.9471i −1.63468 + 1.25434i
\(143\) −12.9782 16.9136i −1.08530 1.41438i
\(144\) 6.61391 + 24.6835i 0.551159 + 2.05695i
\(145\) −19.8806 + 19.8806i −1.65099 + 1.65099i
\(146\) −5.97960 7.79277i −0.494875 0.644934i
\(147\) −6.38041 + 4.89586i −0.526247 + 0.403804i
\(148\) −0.140973 + 0.183719i −0.0115879 + 0.0151016i
\(149\) 11.6058 6.70060i 0.950783 0.548935i 0.0574589 0.998348i \(-0.481700\pi\)
0.893324 + 0.449413i \(0.148367\pi\)
\(150\) 45.8639 18.9975i 3.74477 1.55114i
\(151\) −16.2411 16.2411i −1.32168 1.32168i −0.912414 0.409269i \(-0.865784\pi\)
−0.409269 0.912414i \(-0.634216\pi\)
\(152\) −2.67932 4.64072i −0.217322 0.376412i
\(153\) −7.73730 19.8208i −0.625523 1.60241i
\(154\) 5.74041 9.94268i 0.462575 0.801204i
\(155\) 21.7888 5.83830i 1.75012 0.468943i
\(156\) −13.0494 + 5.40523i −1.04479 + 0.432765i
\(157\) 15.4447 + 8.91701i 1.23262 + 0.711655i 0.967576 0.252581i \(-0.0812795\pi\)
0.265046 + 0.964236i \(0.414613\pi\)
\(158\) −9.01734 1.18715i −0.717381 0.0944450i
\(159\) 21.5996 16.5740i 1.71296 1.31440i
\(160\) 16.3153 2.14795i 1.28984 0.169810i
\(161\) 1.22452 1.22452i 0.0965056 0.0965056i
\(162\) 3.46213 + 0.927674i 0.272010 + 0.0728849i
\(163\) 5.63995 + 7.35013i 0.441755 + 0.575707i 0.960168 0.279424i \(-0.0901435\pi\)
−0.518413 + 0.855131i \(0.673477\pi\)
\(164\) −0.275207 0.113995i −0.0214901 0.00890149i
\(165\) 37.4337 + 4.92824i 2.91421 + 0.383663i
\(166\) 3.09886 1.78913i 0.240518 0.138863i
\(167\) 10.4458 + 8.01535i 0.808321 + 0.620247i 0.928006 0.372565i \(-0.121522\pi\)
−0.119685 + 0.992812i \(0.538188\pi\)
\(168\) 8.40229 + 8.40229i 0.648250 + 0.648250i
\(169\) 13.5615 + 23.4892i 1.04319 + 1.80686i
\(170\) −26.2174 + 6.45119i −2.01078 + 0.494784i
\(171\) −13.5997 −1.03999
\(172\) −2.55844 + 4.43335i −0.195079 + 0.338040i
\(173\) 22.1500 9.17484i 1.68404 0.697550i 0.684529 0.728985i \(-0.260008\pi\)
0.999506 + 0.0314353i \(0.0100078\pi\)
\(174\) 34.1042i 2.58544i
\(175\) 12.9780 16.9133i 0.981047 1.27853i
\(176\) 15.3977 + 6.37793i 1.16064 + 0.480755i
\(177\) 26.6570 3.50946i 2.00366 0.263787i
\(178\) 0.842948 + 0.225867i 0.0631816 + 0.0169295i
\(179\) −0.743197 2.77365i −0.0555492 0.207312i 0.932573 0.360981i \(-0.117558\pi\)
−0.988122 + 0.153668i \(0.950891\pi\)
\(180\) 6.05362 14.6147i 0.451210 1.08932i
\(181\) 9.93764 7.62542i 0.738659 0.566793i −0.169444 0.985540i \(-0.554197\pi\)
0.908103 + 0.418747i \(0.137530\pi\)
\(182\) −13.1536 + 17.1421i −0.975010 + 1.27066i
\(183\) 4.87759i 0.360562i
\(184\) 1.36564 + 1.04789i 0.100676 + 0.0772514i
\(185\) −1.12532 + 0.301529i −0.0827352 + 0.0221688i
\(186\) 13.6812 23.6965i 1.00315 1.73751i
\(187\) −13.3276 3.86602i −0.974613 0.282711i
\(188\) 1.29405 0.0943782
\(189\) 12.1954 3.26775i 0.887084 0.237694i
\(190\) −2.25249 + 17.1093i −0.163413 + 1.24124i
\(191\) −18.8976 + 10.9106i −1.36738 + 0.789460i −0.990593 0.136838i \(-0.956306\pi\)
−0.376791 + 0.926298i \(0.622973\pi\)
\(192\) −5.07109 + 6.60878i −0.365975 + 0.476948i
\(193\) −10.3523 4.28808i −0.745178 0.308663i −0.0224057 0.999749i \(-0.507133\pi\)
−0.722772 + 0.691086i \(0.757133\pi\)
\(194\) −11.6700 + 28.1739i −0.837858 + 2.02277i
\(195\) −68.6377 18.3914i −4.91525 1.31704i
\(196\) 2.12268 + 0.568771i 0.151620 + 0.0406265i
\(197\) −3.80738 4.96188i −0.271265 0.353519i 0.637779 0.770219i \(-0.279853\pi\)
−0.909044 + 0.416700i \(0.863187\pi\)
\(198\) 22.9774 17.6312i 1.63293 1.25299i
\(199\) −0.801200 1.93427i −0.0567955 0.137117i 0.892935 0.450187i \(-0.148643\pi\)
−0.949730 + 0.313070i \(0.898643\pi\)
\(200\) 18.3519 + 10.5954i 1.29767 + 0.749211i
\(201\) −3.22724 + 24.5133i −0.227632 + 1.72904i
\(202\) −13.5879 + 3.64085i −0.956038 + 0.256170i
\(203\) 7.32292 + 12.6837i 0.513968 + 0.890219i
\(204\) −4.75944 + 7.86616i −0.333227 + 0.550741i
\(205\) −0.749306 1.29784i −0.0523338 0.0906448i
\(206\) 1.11280 0.298174i 0.0775325 0.0207748i
\(207\) 4.03606 1.67179i 0.280525 0.116197i
\(208\) −27.1641 15.6832i −1.88349 1.08743i
\(209\) −5.39950 + 7.03676i −0.373491 + 0.486743i
\(210\) −4.99483 37.9395i −0.344676 2.61807i
\(211\) −5.47201 + 13.2106i −0.376708 + 0.909455i 0.615870 + 0.787848i \(0.288805\pi\)
−0.992578 + 0.121607i \(0.961195\pi\)
\(212\) −7.18592 1.92546i −0.493531 0.132241i
\(213\) −29.7432 + 29.7432i −2.03797 + 2.03797i
\(214\) −2.12854 + 5.13874i −0.145504 + 0.351277i
\(215\) −23.7891 + 9.85920i −1.62240 + 0.672392i
\(216\) 4.80263 + 11.5946i 0.326778 + 0.788911i
\(217\) 11.7506i 0.797682i
\(218\) 15.8822 + 12.1868i 1.07568 + 0.825397i
\(219\) −11.8988 11.8988i −0.804043 0.804043i
\(220\) −5.15850 8.93479i −0.347786 0.602383i
\(221\) 23.9186 + 10.4877i 1.60894 + 0.705477i
\(222\) −0.706588 + 1.22385i −0.0474231 + 0.0821392i
\(223\) −10.6137 10.6137i −0.710743 0.710743i 0.255948 0.966691i \(-0.417613\pi\)
−0.966691 + 0.255948i \(0.917613\pi\)
\(224\) 1.11891 8.49895i 0.0747602 0.567860i
\(225\) 46.5751 26.8901i 3.10501 1.79268i
\(226\) 0.798373 + 1.92744i 0.0531070 + 0.128212i
\(227\) −0.721058 5.47698i −0.0478583 0.363520i −0.998571 0.0534460i \(-0.982979\pi\)
0.950712 0.310074i \(-0.100354\pi\)
\(228\) 3.57733 + 4.66207i 0.236914 + 0.308753i
\(229\) 3.96592 + 14.8010i 0.262076 + 0.978079i 0.964016 + 0.265844i \(0.0856505\pi\)
−0.701941 + 0.712235i \(0.747683\pi\)
\(230\) −1.43474 5.35454i −0.0946043 0.353068i
\(231\) 7.52669 18.1710i 0.495220 1.19557i
\(232\) −11.5496 + 8.86235i −0.758271 + 0.581842i
\(233\) −5.39950 0.710857i −0.353733 0.0465698i −0.0484340 0.998826i \(-0.515423\pi\)
−0.305299 + 0.952257i \(0.598756\pi\)
\(234\) −47.2052 + 27.2539i −3.08590 + 1.78164i
\(235\) 5.16490 + 3.96316i 0.336921 + 0.258528i
\(236\) −5.19502 5.19502i −0.338167 0.338167i
\(237\) −15.5812 −1.01211
\(238\) −0.288690 + 14.0616i −0.0187130 + 0.911476i
\(239\) −0.685127 1.18668i −0.0443172 0.0767596i 0.843016 0.537889i \(-0.180778\pi\)
−0.887333 + 0.461129i \(0.847445\pi\)
\(240\) 53.6579 14.3776i 3.46360 0.928070i
\(241\) 3.35778 25.5049i 0.216294 1.64292i −0.446984 0.894542i \(-0.647502\pi\)
0.663278 0.748373i \(-0.269165\pi\)
\(242\) 0.546548i 0.0351335i
\(243\) −12.2695 1.61531i −0.787091 0.103622i
\(244\) 1.05738 0.811356i 0.0676918 0.0519418i
\(245\) 6.73027 + 8.77106i 0.429981 + 0.560362i
\(246\) −1.75589 0.470489i −0.111951 0.0299973i
\(247\) 11.8036 11.8036i 0.751048 0.751048i
\(248\) 11.5802 1.52456i 0.735343 0.0968098i
\(249\) 4.86328 3.73172i 0.308198 0.236488i
\(250\) −13.5859 32.7992i −0.859246 2.07440i
\(251\) 0.917644 + 0.529802i 0.0579212 + 0.0334408i 0.528681 0.848821i \(-0.322687\pi\)
−0.470760 + 0.882261i \(0.656020\pi\)
\(252\) −6.53751 5.01641i −0.411824 0.316004i
\(253\) 0.737422 2.75210i 0.0463613 0.173023i
\(254\) −23.8058 −1.49371
\(255\) −43.0872 + 16.8197i −2.69822 + 1.05329i
\(256\) 16.2515 1.01572
\(257\) 14.6452 + 14.6452i 0.913545 + 0.913545i 0.996549 0.0830038i \(-0.0264514\pi\)
−0.0830038 + 0.996549i \(0.526451\pi\)
\(258\) −11.9480 + 28.8610i −0.743851 + 1.79681i
\(259\) 0.606879i 0.0377096i
\(260\) 7.43050 + 17.9388i 0.460820 + 1.11252i
\(261\) 4.82251 + 36.6306i 0.298506 + 2.26738i
\(262\) −4.81848 + 11.6328i −0.297687 + 0.718680i
\(263\) 16.8530 + 4.51575i 1.03920 + 0.278453i 0.737782 0.675039i \(-0.235873\pi\)
0.301419 + 0.953492i \(0.402540\pi\)
\(264\) 18.8841 + 5.05997i 1.16223 + 0.311420i
\(265\) −22.7840 29.6927i −1.39961 1.82401i
\(266\) 8.30520 + 3.44013i 0.509225 + 0.210928i
\(267\) 1.48223 + 0.195140i 0.0907112 + 0.0119424i
\(268\) 5.85092 3.37803i 0.357402 0.206346i
\(269\) −6.32954 + 2.62178i −0.385919 + 0.159853i −0.567203 0.823578i \(-0.691975\pi\)
0.181284 + 0.983431i \(0.441975\pi\)
\(270\) 10.4603 39.0385i 0.636596 2.37581i
\(271\) −6.69577 + 11.5974i −0.406739 + 0.704492i −0.994522 0.104526i \(-0.966667\pi\)
0.587783 + 0.809018i \(0.300001\pi\)
\(272\) −20.2928 + 2.24890i −1.23043 + 0.136359i
\(273\) −18.5080 + 32.0567i −1.12015 + 1.94016i
\(274\) −1.44592 1.44592i −0.0873512 0.0873512i
\(275\) 4.57824 34.7752i 0.276078 2.09702i
\(276\) −1.63477 0.943833i −0.0984014 0.0568121i
\(277\) 4.39616 5.72918i 0.264139 0.344233i −0.642388 0.766379i \(-0.722056\pi\)
0.906528 + 0.422146i \(0.138723\pi\)
\(278\) −3.45909 26.2744i −0.207463 1.57584i
\(279\) 11.3439 27.3865i 0.679139 1.63959i
\(280\) 11.5505 11.5505i 0.690275 0.690275i
\(281\) 25.7680 + 6.90450i 1.53719 + 0.411888i 0.925356 0.379100i \(-0.123766\pi\)
0.611832 + 0.790988i \(0.290433\pi\)
\(282\) 7.82938 1.03076i 0.466233 0.0613807i
\(283\) 13.4947 10.3548i 0.802174 0.615530i −0.124147 0.992264i \(-0.539619\pi\)
0.926322 + 0.376734i \(0.122953\pi\)
\(284\) 11.3954 + 1.50024i 0.676194 + 0.0890226i
\(285\) 29.5635i 1.75119i
\(286\) −4.64018 + 35.2456i −0.274379 + 2.08412i
\(287\) −0.754055 + 0.202048i −0.0445104 + 0.0119265i
\(288\) 10.8125 18.7279i 0.637135 1.10355i
\(289\) 16.5875 3.72225i 0.975735 0.218956i
\(290\) 46.8826 2.75304
\(291\) −13.5213 + 50.4622i −0.792634 + 2.95815i
\(292\) −0.600169 + 4.55874i −0.0351222 + 0.266780i
\(293\) 24.5936i 1.43677i −0.695645 0.718386i \(-0.744881\pi\)
0.695645 0.718386i \(-0.255119\pi\)
\(294\) 13.2959 + 1.75044i 0.775433 + 0.102088i
\(295\) −4.82441 36.6450i −0.280888 2.13356i
\(296\) −0.598079 + 0.0787386i −0.0347626 + 0.00457659i
\(297\) 14.6885 14.6885i 0.852311 0.852311i
\(298\) −21.5852 5.78373i −1.25040 0.335042i
\(299\) −2.05203 + 4.95404i −0.118672 + 0.286500i
\(300\) −21.4695 8.89296i −1.23954 0.513435i
\(301\) 1.75351 + 13.2992i 0.101071 + 0.766551i
\(302\) 38.3000i 2.20392i
\(303\) −22.2645 + 9.22227i −1.27906 + 0.529806i
\(304\) −3.37752 + 12.6051i −0.193714 + 0.722951i
\(305\) 6.70515 0.383936
\(306\) −14.2477 + 32.4939i −0.814485 + 1.85755i
\(307\) −8.51967 14.7565i −0.486243 0.842198i 0.513632 0.858011i \(-0.328300\pi\)
−0.999875 + 0.0158126i \(0.994966\pi\)
\(308\) −5.19119 + 1.39098i −0.295796 + 0.0792582i
\(309\) 1.82339 0.755274i 0.103729 0.0429660i
\(310\) −32.5753 18.8074i −1.85015 1.06819i
\(311\) 5.61173 7.31335i 0.318212 0.414702i −0.606671 0.794953i \(-0.707496\pi\)
0.924884 + 0.380251i \(0.124162\pi\)
\(312\) −33.9932 14.0804i −1.92448 0.797148i
\(313\) 24.2093 3.18722i 1.36839 0.180152i 0.589733 0.807599i \(-0.299233\pi\)
0.778660 + 0.627446i \(0.215900\pi\)
\(314\) −7.69685 28.7250i −0.434358 1.62105i
\(315\) −10.7297 40.0437i −0.604548 2.25620i
\(316\) 2.59184 + 3.37775i 0.145802 + 0.190013i
\(317\) −19.9106 8.24722i −1.11829 0.463210i −0.254504 0.967072i \(-0.581912\pi\)
−0.863784 + 0.503862i \(0.831912\pi\)
\(318\) −45.0107 5.92577i −2.52407 0.332301i
\(319\) 20.8682 + 12.0482i 1.16839 + 0.674572i
\(320\) 9.08500 + 6.97117i 0.507867 + 0.389700i
\(321\) −2.46620 + 9.20400i −0.137650 + 0.513717i
\(322\) −2.88768 −0.160924
\(323\) 1.63909 10.7414i 0.0912012 0.597667i
\(324\) −0.838918 1.45305i −0.0466066 0.0807250i
\(325\) −17.0853 + 63.7631i −0.947720 + 3.53694i
\(326\) 2.01648 15.3167i 0.111682 0.848313i
\(327\) 29.7006 + 17.1477i 1.64245 + 0.948268i
\(328\) −0.296952 0.716906i −0.0163964 0.0395845i
\(329\) 2.69049 2.06449i 0.148332 0.113819i
\(330\) −38.3274 49.9492i −2.10985 2.74961i
\(331\) 4.86425 + 18.1536i 0.267364 + 0.997815i 0.960788 + 0.277285i \(0.0894346\pi\)
−0.693424 + 0.720530i \(0.743899\pi\)
\(332\) −1.61795 0.433529i −0.0887966 0.0237930i
\(333\) −0.585873 + 1.41442i −0.0321056 + 0.0775098i
\(334\) −2.86577 21.7677i −0.156808 1.19107i
\(335\) 33.6982 + 4.43645i 1.84113 + 0.242389i
\(336\) 28.9374i 1.57867i
\(337\) 1.71165 13.0012i 0.0932393 0.708223i −0.879430 0.476028i \(-0.842076\pi\)
0.972669 0.232195i \(-0.0745906\pi\)
\(338\) 11.7058 43.6867i 0.636713 2.37625i
\(339\) 1.78701 + 3.09519i 0.0970571 + 0.168108i
\(340\) 10.8135 + 6.54274i 0.586445 + 0.354830i
\(341\) −9.66650 16.7429i −0.523470 0.906677i
\(342\) 16.0355 + 16.0355i 0.867098 + 0.867098i
\(343\) 18.5503 7.68379i 1.00162 0.414886i
\(344\) −12.8788 + 3.45357i −0.694379 + 0.186204i
\(345\) −3.63420 8.77374i −0.195659 0.472363i
\(346\) −36.9353 15.2991i −1.98566 0.822486i
\(347\) −30.4593 + 4.01004i −1.63514 + 0.215270i −0.891406 0.453205i \(-0.850280\pi\)
−0.743734 + 0.668476i \(0.766947\pi\)
\(348\) 11.2887 11.2887i 0.605138 0.605138i
\(349\) −22.2287 5.95616i −1.18987 0.318826i −0.391038 0.920374i \(-0.627884\pi\)
−0.798836 + 0.601549i \(0.794551\pi\)
\(350\) −35.2451 + 4.64010i −1.88393 + 0.248024i
\(351\) −31.0158 + 23.7992i −1.65550 + 1.27031i
\(352\) −5.39729 13.0302i −0.287676 0.694512i
\(353\) −11.5751 6.68290i −0.616081 0.355695i 0.159261 0.987237i \(-0.449089\pi\)
−0.775342 + 0.631542i \(0.782422\pi\)
\(354\) −35.5695 27.2934i −1.89050 1.45063i
\(355\) 40.8875 + 40.8875i 2.17008 + 2.17008i
\(356\) −0.204257 0.353784i −0.0108256 0.0187505i
\(357\) 2.65396 + 23.9478i 0.140462 + 1.26745i
\(358\) −2.39412 + 4.14673i −0.126533 + 0.219162i
\(359\) −22.2226 + 5.95453i −1.17287 + 0.314268i −0.792093 0.610401i \(-0.791009\pi\)
−0.380772 + 0.924669i \(0.624342\pi\)
\(360\) 38.0709 15.7695i 2.00651 0.831124i
\(361\) 10.4400 + 6.02753i 0.549473 + 0.317239i
\(362\) −20.7087 2.72635i −1.08843 0.143294i
\(363\) −0.122213 0.928300i −0.00641452 0.0487231i
\(364\) 10.0281 1.32022i 0.525613 0.0691983i
\(365\) −16.3571 + 16.3571i −0.856168 + 0.856168i
\(366\) 5.75119 5.75119i 0.300620 0.300620i
\(367\) 27.0509 3.56132i 1.41204 0.185899i 0.614385 0.789007i \(-0.289404\pi\)
0.797660 + 0.603107i \(0.206071\pi\)
\(368\) −0.547159 4.15608i −0.0285226 0.216651i
\(369\) −1.95249 0.257050i −0.101643 0.0133815i
\(370\) 1.68241 + 0.971337i 0.0874641 + 0.0504974i
\(371\) −18.0123 + 7.46093i −0.935150 + 0.387352i
\(372\) −12.3722 + 3.31513i −0.641471 + 0.171882i
\(373\) −6.80041 + 11.7787i −0.352112 + 0.609875i −0.986619 0.163041i \(-0.947870\pi\)
0.634508 + 0.772917i \(0.281203\pi\)
\(374\) 11.1562 + 20.2731i 0.576876 + 1.04830i
\(375\) −30.4095 52.6708i −1.57034 2.71991i
\(376\) 2.38362 + 2.38362i 0.122926 + 0.122926i
\(377\) −35.9786 27.6074i −1.85299 1.42185i
\(378\) −18.2327 10.5266i −0.937788 0.541432i
\(379\) −5.26241 12.7046i −0.270312 0.652590i 0.729185 0.684317i \(-0.239899\pi\)
−0.999497 + 0.0317264i \(0.989899\pi\)
\(380\) 6.40888 4.91771i 0.328769 0.252273i
\(381\) −40.4336 + 5.32319i −2.07148 + 0.272715i
\(382\) 35.1470 + 9.41761i 1.79828 + 0.481847i
\(383\) −8.97131 + 8.97131i −0.458412 + 0.458412i −0.898134 0.439722i \(-0.855077\pi\)
0.439722 + 0.898134i \(0.355077\pi\)
\(384\) 37.5086 4.93810i 1.91410 0.251996i
\(385\) −24.9795 10.3468i −1.27307 0.527324i
\(386\) 7.15041 + 17.2626i 0.363946 + 0.878644i
\(387\) −8.75201 + 32.6885i −0.444889 + 1.66165i
\(388\) 13.1886 5.46288i 0.669548 0.277336i
\(389\) −20.6557 20.6557i −1.04729 1.04729i −0.998825 0.0484614i \(-0.984568\pi\)
−0.0484614 0.998825i \(-0.515432\pi\)
\(390\) 59.2457 + 102.617i 3.00002 + 5.19619i
\(391\) 0.833983 + 3.38928i 0.0421763 + 0.171403i
\(392\) 2.86229 + 4.95762i 0.144567 + 0.250398i
\(393\) −5.58288 + 20.8356i −0.281619 + 1.05102i
\(394\) −1.36127 + 10.3399i −0.0685799 + 0.520916i
\(395\) 21.4193i 1.07772i
\(396\) −13.4417 1.76963i −0.675470 0.0889273i
\(397\) −0.238081 1.80840i −0.0119489 0.0907611i 0.984431 0.175770i \(-0.0562415\pi\)
−0.996380 + 0.0850088i \(0.972908\pi\)
\(398\) −1.33601 + 3.22540i −0.0669679 + 0.161675i
\(399\) 14.8754 + 3.98586i 0.744704 + 0.199543i
\(400\) −13.3565 49.8472i −0.667826 2.49236i
\(401\) −19.8684 25.8930i −0.992181 1.29303i −0.955900 0.293693i \(-0.905116\pi\)
−0.0362808 0.999342i \(-0.511551\pi\)
\(402\) 32.7091 25.0986i 1.63138 1.25180i
\(403\) 13.9240 + 33.6155i 0.693603 + 1.67451i
\(404\) 5.70280 + 3.29252i 0.283725 + 0.163809i
\(405\) 1.10177 8.36879i 0.0547475 0.415848i
\(406\) 6.32089 23.5899i 0.313701 1.17075i
\(407\) 0.499242 + 0.864713i 0.0247465 + 0.0428622i
\(408\) −23.2562 + 5.72254i −1.15135 + 0.283308i
\(409\) 29.9894 1.48288 0.741439 0.671020i \(-0.234144\pi\)
0.741439 + 0.671020i \(0.234144\pi\)
\(410\) −0.646775 + 2.41380i −0.0319419 + 0.119209i
\(411\) −2.77918 2.13254i −0.137087 0.105191i
\(412\) −0.467041 0.269646i −0.0230094 0.0132845i
\(413\) −19.0891 2.51313i −0.939312 0.123663i
\(414\) −6.73015 2.78772i −0.330769 0.137009i
\(415\) −5.12995 6.68548i −0.251819 0.328177i
\(416\) 6.87000 + 25.6392i 0.336830 + 1.25706i
\(417\) −11.7504 43.8530i −0.575419 2.14749i
\(418\) 14.6637 1.93051i 0.717223 0.0944243i
\(419\) −2.43971 1.01056i −0.119188 0.0493691i 0.322293 0.946640i \(-0.395546\pi\)
−0.441480 + 0.897271i \(0.645546\pi\)
\(420\) −10.9049 + 14.2115i −0.532103 + 0.693451i
\(421\) −3.67010 2.11893i −0.178870 0.103270i 0.407892 0.913030i \(-0.366264\pi\)
−0.586761 + 0.809760i \(0.699597\pi\)
\(422\) 22.0288 9.12461i 1.07234 0.444179i
\(423\) 8.26361 2.21423i 0.401791 0.107659i
\(424\) −9.68971 16.7831i −0.470574 0.815058i
\(425\) 15.6251 + 40.0272i 0.757931 + 1.94160i
\(426\) 70.1407 3.39833
\(427\) 0.904013 3.37382i 0.0437483 0.163271i
\(428\) 2.40551 0.996396i 0.116275 0.0481626i
\(429\) 60.9015i 2.94035i
\(430\) 39.6749 + 16.4248i 1.91329 + 0.792073i
\(431\) 23.4540 + 9.71497i 1.12974 + 0.467954i 0.867693 0.497101i \(-0.165602\pi\)
0.262048 + 0.965055i \(0.415602\pi\)
\(432\) 11.6957 28.2360i 0.562710 1.35850i
\(433\) 25.5205 + 6.83820i 1.22644 + 0.328623i 0.813191 0.581996i \(-0.197728\pi\)
0.413246 + 0.910619i \(0.364395\pi\)
\(434\) −13.8552 + 13.8552i −0.665071 + 0.665071i
\(435\) 79.6291 10.4834i 3.81792 0.502639i
\(436\) −1.22319 9.29102i −0.0585800 0.444959i
\(437\) 2.21182 + 0.291192i 0.105806 + 0.0139296i
\(438\) 28.0598i 1.34075i
\(439\) −3.40342 + 25.8516i −0.162437 + 1.23383i 0.694913 + 0.719094i \(0.255443\pi\)
−0.857350 + 0.514734i \(0.827891\pi\)
\(440\) 6.95587 25.9597i 0.331608 1.23758i
\(441\) 14.5284 0.691827
\(442\) −15.8365 40.5687i −0.753266 1.92965i
\(443\) 11.8937 20.6005i 0.565087 0.978760i −0.431954 0.901896i \(-0.642176\pi\)
0.997042 0.0768646i \(-0.0244909\pi\)
\(444\) 0.638985 0.171216i 0.0303249 0.00812553i
\(445\) 0.268256 2.03761i 0.0127166 0.0965918i
\(446\) 25.0292i 1.18517i
\(447\) −37.9552 4.99690i −1.79522 0.236345i
\(448\) 4.73255 3.63141i 0.223592 0.171568i
\(449\) −14.7544 + 1.94245i −0.696302 + 0.0916699i −0.470365 0.882472i \(-0.655878\pi\)
−0.225937 + 0.974142i \(0.572544\pi\)
\(450\) −86.6233 23.2106i −4.08346 1.09416i
\(451\) −0.908204 + 0.908204i −0.0427656 + 0.0427656i
\(452\) 0.373729 0.902261i 0.0175787 0.0424388i
\(453\) 8.56421 + 65.0517i 0.402382 + 3.05639i
\(454\) −5.60774 + 7.30815i −0.263184 + 0.342988i
\(455\) 44.0680 + 25.4427i 2.06594 + 1.19277i
\(456\) −1.99807 + 15.1769i −0.0935683 + 0.710722i
\(457\) 6.20419 + 6.20419i 0.290220 + 0.290220i 0.837167 0.546947i \(-0.184210\pi\)
−0.546947 + 0.837167i \(0.684210\pi\)
\(458\) 12.7757 22.1282i 0.596971 1.03398i
\(459\) −7.08943 + 24.4399i −0.330906 + 1.14076i
\(460\) −1.29748 + 2.24729i −0.0604951 + 0.104781i
\(461\) 6.88770 25.7052i 0.320792 1.19721i −0.597683 0.801733i \(-0.703912\pi\)
0.918475 0.395479i \(-0.129422\pi\)
\(462\) −30.3003 + 12.5508i −1.40970 + 0.583916i
\(463\) −35.4691 + 20.4781i −1.64839 + 0.951697i −0.670674 + 0.741752i \(0.733995\pi\)
−0.977713 + 0.209945i \(0.932671\pi\)
\(464\) 35.1494 + 4.62751i 1.63177 + 0.214827i
\(465\) −59.5339 24.6597i −2.76082 1.14357i
\(466\) 5.52840 + 7.20476i 0.256098 + 0.333754i
\(467\) −2.43440 0.652294i −0.112650 0.0301846i 0.202053 0.979374i \(-0.435239\pi\)
−0.314704 + 0.949190i \(0.601905\pi\)
\(468\) 24.6464 + 6.60398i 1.13928 + 0.305269i
\(469\) 6.77559 16.3577i 0.312868 0.755330i
\(470\) −1.41697 10.7629i −0.0653599 0.496458i
\(471\) −19.4961 47.0678i −0.898333 2.16877i
\(472\) 19.1383i 0.880913i
\(473\) 13.4389 + 17.5068i 0.617922 + 0.804965i
\(474\) 18.3719 + 18.3719i 0.843849 + 0.843849i
\(475\) 27.4640 1.26013
\(476\) 4.75002 4.55890i 0.217717 0.208957i
\(477\) −49.1829 −2.25193
\(478\) −0.591378 + 2.20705i −0.0270490 + 0.100948i
\(479\) −7.56648 5.80597i −0.345721 0.265281i 0.421275 0.906933i \(-0.361583\pi\)
−0.766996 + 0.641652i \(0.778249\pi\)
\(480\) −40.7114 23.5048i −1.85821 1.07284i
\(481\) −0.719127 1.73613i −0.0327894 0.0791606i
\(482\) −34.0322 + 26.1138i −1.55012 + 1.18945i
\(483\) −4.90465 + 0.645710i −0.223169 + 0.0293808i
\(484\) −0.180911 + 0.180911i −0.00822322 + 0.00822322i
\(485\) 69.3698 + 18.5876i 3.14992 + 0.844018i
\(486\) 12.5624 + 16.3717i 0.569844 + 0.742635i
\(487\) 24.0175 18.4293i 1.08834 0.835110i 0.101181 0.994868i \(-0.467738\pi\)
0.987156 + 0.159758i \(0.0510714\pi\)
\(488\) 3.44219 + 0.453173i 0.155821 + 0.0205142i
\(489\) 26.4659i 1.19683i
\(490\) 2.40631 18.2777i 0.108706 0.825703i
\(491\) −21.0830 + 5.64917i −0.951463 + 0.254944i −0.700983 0.713178i \(-0.747255\pi\)
−0.250480 + 0.968122i \(0.580588\pi\)
\(492\) 0.425475 + 0.736944i 0.0191819 + 0.0332240i
\(493\) −29.5131 0.605916i −1.32920 0.0272891i
\(494\) −27.8355 −1.25238
\(495\) −48.2297 48.2297i −2.16776 2.16776i
\(496\) −22.5664 17.3158i −1.01326 0.777501i
\(497\) 26.0859 15.0607i 1.17011 0.675566i
\(498\) −10.1344 1.33422i −0.454134 0.0597879i
\(499\) −18.6145 + 14.2834i −0.833298 + 0.639412i −0.934702 0.355433i \(-0.884333\pi\)
0.101403 + 0.994845i \(0.467667\pi\)
\(500\) −6.35972 + 15.3537i −0.284415 + 0.686639i
\(501\) −9.73489 36.3311i −0.434923 1.62315i
\(502\) −0.457307 1.70669i −0.0204106 0.0761734i
\(503\) −7.04619 9.18277i −0.314174 0.409439i 0.609398 0.792864i \(-0.291411\pi\)
−0.923572 + 0.383425i \(0.874744\pi\)
\(504\) −2.80185 21.2822i −0.124804 0.947984i
\(505\) 12.6777 + 30.6068i 0.564152 + 1.36198i
\(506\) −4.11451 + 2.37551i −0.182912 + 0.105604i
\(507\) 10.1133 76.8185i 0.449149 3.41163i
\(508\) 7.87987 + 7.87987i 0.349612 + 0.349612i
\(509\) −12.2265 + 21.1769i −0.541929 + 0.938649i 0.456864 + 0.889536i \(0.348973\pi\)
−0.998793 + 0.0491122i \(0.984361\pi\)
\(510\) 70.6365 + 30.9722i 3.12784 + 1.37147i
\(511\) 6.02504 + 10.4357i 0.266532 + 0.461647i
\(512\) −0.433144 0.433144i −0.0191424 0.0191424i
\(513\) 12.9039 + 9.90149i 0.569720 + 0.437161i
\(514\) 34.5366i 1.52334i
\(515\) −1.03826 2.50659i −0.0457514 0.110454i
\(516\) 13.5080 5.59831i 0.594658 0.246452i
\(517\) 2.13523 5.15489i 0.0939071 0.226712i
\(518\) 0.715575 0.715575i 0.0314406 0.0314406i
\(519\) −66.1549 17.7261i −2.90388 0.778091i
\(520\) −19.3562 + 46.7300i −0.848825 + 2.04924i
\(521\) 2.36322 + 17.9505i 0.103535 + 0.786424i 0.961903 + 0.273390i \(0.0881450\pi\)
−0.858369 + 0.513034i \(0.828522\pi\)
\(522\) 37.5051 48.8776i 1.64155 2.13932i
\(523\) 10.3500 + 5.97555i 0.452572 + 0.261292i 0.708916 0.705293i \(-0.249185\pi\)
−0.256344 + 0.966586i \(0.582518\pi\)
\(524\) 5.44549 2.25559i 0.237887 0.0985361i
\(525\) −58.8254 + 15.7622i −2.56735 + 0.687919i
\(526\) −14.5469 25.1960i −0.634276 1.09860i
\(527\) 20.2634 + 12.2604i 0.882687 + 0.534072i
\(528\) −23.8051 41.2316i −1.03598 1.79437i
\(529\) 21.5241 5.76736i 0.935830 0.250755i
\(530\) −8.14608 + 61.8756i −0.353843 + 2.68770i
\(531\) −42.0638 24.2855i −1.82541 1.05390i
\(532\) −1.61037 3.88777i −0.0698183 0.168556i
\(533\) 1.91774 1.47153i 0.0830665 0.0637392i
\(534\) −1.51762 1.97780i −0.0656738 0.0855878i
\(535\) 12.6526 + 3.39026i 0.547020 + 0.146574i
\(536\) 16.9996 + 4.55503i 0.734271 + 0.196747i
\(537\) −3.13911 + 7.57848i −0.135463 + 0.327036i
\(538\) 10.5546 + 4.37184i 0.455039 + 0.188483i
\(539\) 5.76822 7.51729i 0.248455 0.323793i
\(540\) −16.3844 + 9.45955i −0.705073 + 0.407074i
\(541\) 3.67486 27.9133i 0.157994 1.20009i −0.710250 0.703950i \(-0.751418\pi\)
0.868244 0.496137i \(-0.165249\pi\)
\(542\) 21.5696 5.77955i 0.926493 0.248253i
\(543\) −35.7829 −1.53559
\(544\) 13.4886 + 10.7972i 0.578319 + 0.462926i
\(545\) 23.5727 40.8291i 1.00974 1.74893i
\(546\) 59.6212 15.9754i 2.55155 0.683686i
\(547\) 24.3181 + 18.6600i 1.03977 + 0.797842i 0.979724 0.200353i \(-0.0642090\pi\)
0.0600447 + 0.998196i \(0.480876\pi\)
\(548\) 0.957216i 0.0408902i
\(549\) 5.36398 6.99047i 0.228929 0.298346i
\(550\) −46.4019 + 35.6054i −1.97858 + 1.51822i
\(551\) −7.22030 + 17.4313i −0.307595 + 0.742600i
\(552\) −1.27269 4.74975i −0.0541694 0.202163i
\(553\) 10.7775 + 2.88783i 0.458306 + 0.122803i
\(554\) −11.9388 + 1.57178i −0.507233 + 0.0667785i
\(555\) 3.07473 + 1.27359i 0.130515 + 0.0540611i
\(556\) −7.55201 + 9.84197i −0.320277 + 0.417393i
\(557\) 30.6803i 1.29997i 0.759949 + 0.649983i \(0.225224\pi\)
−0.759949 + 0.649983i \(0.774776\pi\)
\(558\) −45.6672 + 18.9160i −1.93325 + 0.800777i
\(559\) −20.7753 35.9677i −0.878703 1.52127i
\(560\) −39.7799 −1.68101
\(561\) 23.4819 + 31.9388i 0.991406 + 1.34846i
\(562\) −22.2420 38.5243i −0.938223 1.62505i
\(563\) −17.3731 17.3731i −0.732191 0.732191i 0.238863 0.971053i \(-0.423225\pi\)
−0.971053 + 0.238863i \(0.923225\pi\)
\(564\) −2.93276 2.25039i −0.123491 0.0947583i
\(565\) 4.25492 2.45658i 0.179006 0.103349i
\(566\) −28.1211 3.70221i −1.18202 0.155615i
\(567\) −4.06237 1.68269i −0.170603 0.0706663i
\(568\) 18.2268 + 23.7536i 0.764780 + 0.996680i
\(569\) −8.14097 2.18137i −0.341287 0.0914477i 0.0841045 0.996457i \(-0.473197\pi\)
−0.425392 + 0.905009i \(0.639864\pi\)
\(570\) 34.8585 34.8585i 1.46006 1.46006i
\(571\) 31.7021 4.17366i 1.32669 0.174662i 0.566338 0.824173i \(-0.308360\pi\)
0.760352 + 0.649511i \(0.225026\pi\)
\(572\) 13.2024 10.1306i 0.552022 0.423581i
\(573\) 61.8023 + 8.13642i 2.58183 + 0.339904i
\(574\) 1.12735 + 0.650874i 0.0470545 + 0.0271670i
\(575\) −8.15064 + 3.37611i −0.339905 + 0.140793i
\(576\) 14.5356 3.89481i 0.605651 0.162284i
\(577\) 16.1422 27.9592i 0.672010 1.16396i −0.305323 0.952249i \(-0.598764\pi\)
0.977333 0.211707i \(-0.0679023\pi\)
\(578\) −23.9473 15.1695i −0.996078 0.630967i
\(579\) 16.0049 + 27.7213i 0.665140 + 1.15206i
\(580\) −15.5184 15.5184i −0.644368 0.644368i
\(581\) −4.05557 + 1.67987i −0.168253 + 0.0696928i
\(582\) 75.4434 43.5573i 3.12723 1.80551i
\(583\) −19.5272 + 25.4483i −0.808733 + 1.05396i
\(584\) −9.50264 + 7.29163i −0.393222 + 0.301730i
\(585\) 78.1450 + 101.840i 3.23090 + 4.21059i
\(586\) −28.9984 + 28.9984i −1.19791 + 1.19791i
\(587\) 3.88214 + 14.4883i 0.160233 + 0.597997i 0.998600 + 0.0528916i \(0.0168438\pi\)
−0.838367 + 0.545106i \(0.816490\pi\)
\(588\) −3.82162 4.98043i −0.157601 0.205390i
\(589\) 12.0096 9.21527i 0.494846 0.379709i
\(590\) −37.5199 + 48.8969i −1.54467 + 2.01305i
\(591\) 17.8665i 0.734928i
\(592\) 1.16548 + 0.894303i 0.0479008 + 0.0367556i
\(593\) 2.55544 0.684729i 0.104939 0.0281184i −0.205967 0.978559i \(-0.566034\pi\)
0.310907 + 0.950440i \(0.399367\pi\)
\(594\) −34.6385 −1.42123
\(595\) 32.9207 3.64836i 1.34962 0.149568i
\(596\) 5.23037 + 9.05927i 0.214244 + 0.371082i
\(597\) −1.54795 + 5.77702i −0.0633533 + 0.236438i
\(598\) 8.26090 3.42178i 0.337814 0.139927i
\(599\) −30.6026 + 17.6684i −1.25039 + 0.721913i −0.971187 0.238319i \(-0.923404\pi\)
−0.279203 + 0.960232i \(0.590070\pi\)
\(600\) −23.1658 55.9273i −0.945742 2.28322i
\(601\) −8.64767 3.58198i −0.352746 0.146112i 0.199272 0.979944i \(-0.436142\pi\)
−0.552018 + 0.833832i \(0.686142\pi\)
\(602\) 13.6136 17.7487i 0.554847 0.723383i
\(603\) 31.5830 31.5830i 1.28616 1.28616i
\(604\) 12.6775 12.6775i 0.515841 0.515841i
\(605\) −1.27612 + 0.168005i −0.0518817 + 0.00683036i
\(606\) 37.1263 + 15.3782i 1.50815 + 0.624697i
\(607\) 0.120257 0.156722i 0.00488107 0.00636113i −0.790906 0.611937i \(-0.790391\pi\)
0.795787 + 0.605576i \(0.207057\pi\)
\(608\) 9.56376 5.52164i 0.387862 0.223932i
\(609\) 5.46099 41.4803i 0.221290 1.68087i
\(610\) −7.90609 7.90609i −0.320108 0.320108i
\(611\) −5.25048 + 9.09409i −0.212412 + 0.367908i
\(612\) 15.4717 6.03960i 0.625407 0.244136i
\(613\) −42.0538 −1.69854 −0.849268 0.527961i \(-0.822957\pi\)
−0.849268 + 0.527961i \(0.822957\pi\)
\(614\) −7.35389 + 27.4451i −0.296779 + 1.10759i
\(615\) −0.558786 + 4.24440i −0.0225324 + 0.171151i
\(616\) −12.1243 6.99996i −0.488501 0.282036i
\(617\) 17.7488 + 2.33667i 0.714539 + 0.0940708i 0.479026 0.877801i \(-0.340990\pi\)
0.235512 + 0.971871i \(0.424323\pi\)
\(618\) −3.04052 1.25942i −0.122308 0.0506615i
\(619\) 17.4439 + 22.7333i 0.701129 + 0.913729i 0.999166 0.0408252i \(-0.0129987\pi\)
−0.298037 + 0.954554i \(0.596332\pi\)
\(620\) 4.55727 + 17.0080i 0.183024 + 0.683056i
\(621\) −5.04674 1.35227i −0.202519 0.0542647i
\(622\) −15.2400 + 2.00639i −0.611070 + 0.0804489i
\(623\) −0.989093 0.409696i −0.0396272 0.0164141i
\(624\) 34.2897 + 82.7826i 1.37269 + 3.31396i
\(625\) −27.2795 + 15.7498i −1.09118 + 0.629993i
\(626\) −32.3034 24.7873i −1.29111 0.990700i
\(627\) 24.4742 6.55785i 0.977407 0.261895i
\(628\) −6.96045 + 12.0559i −0.277752 + 0.481081i
\(629\) −1.04654 0.633210i −0.0417281 0.0252477i
\(630\) −34.5643 + 59.8671i −1.37707 + 2.38516i
\(631\) −15.3309 + 4.10791i −0.610315 + 0.163533i −0.550721 0.834689i \(-0.685647\pi\)
−0.0595938 + 0.998223i \(0.518981\pi\)
\(632\) −1.44764 + 10.9959i −0.0575839 + 0.437393i
\(633\) 35.3750 20.4238i 1.40603 0.811772i
\(634\) 13.7523 + 33.2010i 0.546174 + 1.31858i
\(635\) 7.31772 + 55.5836i 0.290395 + 2.20577i
\(636\) 12.9373 + 16.8603i 0.512999 + 0.668553i
\(637\) −12.6097 + 12.6097i −0.499614 + 0.499614i
\(638\) −10.3996 38.8119i −0.411725 1.53658i
\(639\) 75.3366 9.91825i 2.98027 0.392360i
\(640\) −6.78834 51.5625i −0.268333 2.03819i
\(641\) 3.99461 + 9.64385i 0.157778 + 0.380909i 0.982925 0.184009i \(-0.0589076\pi\)
−0.825147 + 0.564918i \(0.808908\pi\)
\(642\) 13.7604 7.94458i 0.543080 0.313547i
\(643\) 9.87406 4.08997i 0.389395 0.161293i −0.179392 0.983778i \(-0.557413\pi\)
0.568787 + 0.822485i \(0.307413\pi\)
\(644\) 0.955838 + 0.955838i 0.0376653 + 0.0376653i
\(645\) 71.0596 + 19.0255i 2.79797 + 0.749127i
\(646\) −14.5979 + 10.7326i −0.574346 + 0.422267i
\(647\) −24.0716 −0.946351 −0.473176 0.880968i \(-0.656892\pi\)
−0.473176 + 0.880968i \(0.656892\pi\)
\(648\) 1.13122 4.22178i 0.0444386 0.165847i
\(649\) −29.2665 + 12.1226i −1.14881 + 0.475853i
\(650\) 95.3288 55.0381i 3.73910 2.15877i
\(651\) −20.4346 + 26.6309i −0.800895 + 1.04375i
\(652\) −5.73738 + 4.40245i −0.224693 + 0.172413i
\(653\) −1.71206 + 4.13327i −0.0669979 + 0.161747i −0.953832 0.300341i \(-0.902900\pi\)
0.886834 + 0.462088i \(0.152900\pi\)
\(654\) −14.8013 55.2391i −0.578776 2.16002i
\(655\) 28.6424 + 7.67471i 1.11915 + 0.299876i
\(656\) −0.723159 + 1.74586i −0.0282346 + 0.0681644i
\(657\) 3.96779 + 30.1384i 0.154798 + 1.17581i
\(658\) −5.60662 0.738126i −0.218569 0.0287751i
\(659\) −14.3696 8.29630i −0.559761 0.323178i 0.193289 0.981142i \(-0.438085\pi\)
−0.753050 + 0.657964i \(0.771418\pi\)
\(660\) −3.84690 + 29.2201i −0.149740 + 1.13739i
\(661\) 24.4314 + 24.4314i 0.950270 + 0.950270i 0.998821 0.0485508i \(-0.0154603\pi\)
−0.0485508 + 0.998821i \(0.515460\pi\)
\(662\) 15.6696 27.1405i 0.609016 1.05485i
\(663\) −35.9695 65.3638i −1.39694 2.53852i
\(664\) −2.18169 3.77880i −0.0846661 0.146646i
\(665\) 5.47931 20.4491i 0.212479 0.792981i
\(666\) 2.35856 0.976947i 0.0913923 0.0378559i
\(667\) 6.06079i 0.234675i
\(668\) −6.25664 + 8.15381i −0.242077 + 0.315481i
\(669\) 5.59676 + 42.5116i 0.216383 + 1.64359i
\(670\) −34.5027 44.9647i −1.33295 1.73714i
\(671\) −1.48735 5.55088i −0.0574186 0.214289i
\(672\) −17.3157 + 17.3157i −0.667969 + 0.667969i
\(673\) 16.4914 + 21.4920i 0.635697 + 0.828457i 0.994476 0.104966i \(-0.0334734\pi\)
−0.358779 + 0.933423i \(0.616807\pi\)
\(674\) −17.3480 + 13.3116i −0.668222 + 0.512745i
\(675\) −63.7700 8.39548i −2.45451 0.323142i
\(676\) −18.3353 + 10.5859i −0.705203 + 0.407149i
\(677\) 8.32108 3.44670i 0.319805 0.132468i −0.217006 0.976170i \(-0.569629\pi\)
0.536811 + 0.843703i \(0.319629\pi\)
\(678\) 1.54249 5.75664i 0.0592388 0.221082i
\(679\) 18.7054 32.3987i 0.717846 1.24335i
\(680\) 7.86670 + 31.9700i 0.301674 + 1.22599i
\(681\) −7.89045 + 13.6667i −0.302363 + 0.523708i
\(682\) −8.34379 + 31.1394i −0.319500 + 1.19239i
\(683\) −1.39597 1.07116i −0.0534152 0.0409869i 0.581709 0.813397i \(-0.302384\pi\)
−0.635124 + 0.772410i \(0.719051\pi\)
\(684\) 10.6157i 0.405900i
\(685\) −2.93158 + 3.82051i −0.112010 + 0.145974i
\(686\) −30.9328 12.8128i −1.18102 0.489194i
\(687\) 16.7512 40.4411i 0.639099 1.54292i
\(688\) 28.1243 + 16.2302i 1.07223 + 0.618772i
\(689\) 42.6876 42.6876i 1.62627 1.62627i
\(690\) −6.06006 + 14.6303i −0.230703 + 0.556965i
\(691\) 2.71443 + 20.6181i 0.103262 + 0.784350i 0.962214 + 0.272295i \(0.0877825\pi\)
−0.858952 + 0.512056i \(0.828884\pi\)
\(692\) 7.16172 + 17.2899i 0.272248 + 0.657264i
\(693\) −30.7702 + 17.7652i −1.16886 + 0.674843i
\(694\) 40.6430 + 31.1865i 1.54279 + 1.18382i
\(695\) −60.2842 + 16.1531i −2.28671 + 0.612722i
\(696\) 41.5873 1.57636
\(697\) 0.438347 1.51115i 0.0166036 0.0572388i
\(698\) 19.1870 + 33.2329i 0.726240 + 1.25788i
\(699\) 11.0009 + 11.0009i 0.416093 + 0.416093i
\(700\) 13.2022 + 10.1304i 0.498997 + 0.382894i
\(701\) −19.2697 11.1254i −0.727808 0.420200i 0.0898119 0.995959i \(-0.471373\pi\)
−0.817620 + 0.575759i \(0.804707\pi\)
\(702\) 64.6327 + 8.50906i 2.43940 + 0.321154i
\(703\) −0.620255 + 0.475938i −0.0233934 + 0.0179504i
\(704\) 3.75584 9.06740i 0.141554 0.341741i
\(705\) −4.81338 17.9638i −0.181282 0.676555i
\(706\) 5.76845 + 21.5281i 0.217098 + 0.810222i
\(707\) 17.1096 2.25253i 0.643474 0.0847149i
\(708\) 2.73942 + 20.8080i 0.102954 + 0.782012i
\(709\) −16.0556 38.7618i −0.602982 1.45573i −0.870497 0.492174i \(-0.836202\pi\)
0.267514 0.963554i \(-0.413798\pi\)
\(710\) 96.4215i 3.61863i
\(711\) 22.3307 + 17.1350i 0.837467 + 0.642611i
\(712\) 0.275426 1.02791i 0.0103220 0.0385224i
\(713\) −2.43133 + 4.21119i −0.0910542 + 0.157710i
\(714\) 25.1077 31.3663i 0.939632 1.17385i
\(715\) 83.7205 3.13097
\(716\) 2.16506 0.580126i 0.0809121 0.0216803i
\(717\) −0.510926 + 3.88087i −0.0190809 + 0.144934i
\(718\) 33.2239 + 19.1818i 1.23990 + 0.715859i
\(719\) −3.91338 + 5.10002i −0.145945 + 0.190199i −0.860605 0.509273i \(-0.829914\pi\)
0.714661 + 0.699471i \(0.246581\pi\)
\(720\) −92.7129 38.4030i −3.45521 1.43119i
\(721\) −1.40122 + 0.184474i −0.0521842 + 0.00687018i
\(722\) −5.20276 19.4170i −0.193627 0.722624i
\(723\) −51.9636 + 51.9636i −1.93255 + 1.93255i
\(724\) 5.95227 + 7.75715i 0.221214 + 0.288292i
\(725\) −9.73886 73.9740i −0.361692 2.74732i
\(726\) −0.950462 + 1.23867i −0.0352750 + 0.0459712i
\(727\) 50.0506i 1.85627i −0.372240 0.928136i \(-0.621410\pi\)
0.372240 0.928136i \(-0.378590\pi\)
\(728\) 20.9034 + 16.0397i 0.774731 + 0.594472i
\(729\) 29.5576 + 29.5576i 1.09473 + 1.09473i
\(730\) 38.5734 1.42767
\(731\) −24.7634 10.8523i −0.915908 0.401387i
\(732\) −3.80736 −0.140724
\(733\) −16.4620 16.4620i −0.608036 0.608036i 0.334396 0.942433i \(-0.391468\pi\)
−0.942433 + 0.334396i \(0.891468\pi\)
\(734\) −36.0950 27.6967i −1.33229 1.02230i
\(735\) 31.5824i 1.16493i
\(736\) −2.15953 + 2.81435i −0.0796012 + 0.103738i
\(737\) −3.80228 28.8812i −0.140059 1.06385i
\(738\) 1.99910 + 2.60528i 0.0735880 + 0.0959018i
\(739\) −13.5592 + 13.5592i −0.498785 + 0.498785i −0.911059 0.412275i \(-0.864734\pi\)
0.412275 + 0.911059i \(0.364734\pi\)
\(740\) −0.235368 0.878405i −0.00865229 0.0322908i
\(741\) −47.2779 + 6.22426i −1.73680 + 0.228654i
\(742\) 30.0356 + 12.4412i 1.10264 + 0.456729i
\(743\) 10.3190 13.4479i 0.378566 0.493356i −0.564746 0.825265i \(-0.691026\pi\)
0.943312 + 0.331908i \(0.107692\pi\)
\(744\) −28.8960 16.6831i −1.05938 0.611632i
\(745\) −6.86917 + 52.1765i −0.251667 + 1.91160i
\(746\) 21.9067 5.86988i 0.802060 0.214911i
\(747\) −11.0738 −0.405170
\(748\) 3.01775 10.4033i 0.110340 0.380383i
\(749\) 3.41175 5.90932i 0.124662 0.215922i
\(750\) −26.2484 + 97.9604i −0.958456 + 3.57701i
\(751\) −0.779338 0.598007i −0.0284385 0.0218216i 0.594444 0.804137i \(-0.297372\pi\)
−0.622883 + 0.782315i \(0.714039\pi\)
\(752\) 8.20918i 0.299358i
\(753\) −1.15836 2.79652i −0.0422129 0.101911i
\(754\) 9.87060 + 74.9747i 0.359466 + 2.73042i
\(755\) 89.4256 11.7731i 3.25453 0.428467i
\(756\) 2.55074 + 9.51951i 0.0927697 + 0.346221i
\(757\) 0.812026 + 3.03052i 0.0295136 + 0.110146i 0.979111 0.203325i \(-0.0651748\pi\)
−0.949598 + 0.313471i \(0.898508\pi\)
\(758\) −8.77511 + 21.1850i −0.318726 + 0.769473i
\(759\) −6.45722 + 4.95480i −0.234382 + 0.179848i
\(760\) 20.8634 + 2.74672i 0.756797 + 0.0996342i
\(761\) −11.2255 6.48107i −0.406926 0.234939i 0.282542 0.959255i \(-0.408822\pi\)
−0.689468 + 0.724316i \(0.742156\pi\)
\(762\) 53.9522 + 41.3990i 1.95448 + 1.49973i
\(763\) −17.3658 17.3658i −0.628683 0.628683i
\(764\) −8.51658 14.7512i −0.308119 0.533678i
\(765\) 80.2487 + 23.2782i 2.90140 + 0.841624i
\(766\) 21.1562 0.764406
\(767\) 57.5870 15.4304i 2.07934 0.557159i
\(768\) −36.8316 28.2619i −1.32904 1.01981i
\(769\) −27.3282 + 15.7779i −0.985478 + 0.568966i −0.903920 0.427702i \(-0.859323\pi\)
−0.0815588 + 0.996669i \(0.525990\pi\)
\(770\) 17.2534 + 41.6535i 0.621770 + 1.50109i
\(771\) −7.72269 58.6596i −0.278126 2.11258i
\(772\) 3.34720 8.08086i 0.120468 0.290836i
\(773\) 0.744310 0.744310i 0.0267710 0.0267710i −0.693595 0.720366i \(-0.743974\pi\)
0.720366 + 0.693595i \(0.243974\pi\)
\(774\) 48.8627 28.2237i 1.75634 1.01448i
\(775\) −22.9084 + 55.3059i −0.822895 + 1.98665i
\(776\) 34.3557 + 14.2306i 1.23330 + 0.510849i
\(777\) 1.05538 1.37540i 0.0378615 0.0493421i
\(778\) 48.7106i 1.74636i
\(779\) −0.797860 0.612220i −0.0285863 0.0219351i
\(780\) 14.3560 53.5773i 0.514027 1.91838i
\(781\) 24.7791 42.9186i 0.886665 1.53575i
\(782\) 3.01296 4.97967i 0.107743 0.178073i
\(783\) 22.0938 38.2676i 0.789568 1.36757i
\(784\) 3.60817 13.4659i 0.128863 0.480924i
\(785\) −64.7034 + 26.8010i −2.30936 + 0.956570i
\(786\) 31.1502 17.9846i 1.11109 0.641488i
\(787\) −3.98750 0.524964i −0.142139 0.0187129i 0.0591209 0.998251i \(-0.481170\pi\)
−0.201260 + 0.979538i \(0.564504\pi\)
\(788\) 3.87315 2.97197i 0.137975 0.105872i
\(789\) −30.3417 39.5421i −1.08019 1.40773i
\(790\) 25.2556 25.2556i 0.898554 0.898554i
\(791\) −0.662411 2.47215i −0.0235526 0.0878995i
\(792\) −21.4998 28.0190i −0.763961 0.995613i
\(793\) 1.41169 + 10.7229i 0.0501307 + 0.380780i
\(794\) −1.85158 + 2.41302i −0.0657100 + 0.0856349i
\(795\) 106.916i 3.79192i
\(796\) 1.50985 0.625402i 0.0535154 0.0221668i
\(797\) 4.41042 16.4599i 0.156225 0.583040i −0.842772 0.538270i \(-0.819078\pi\)
0.998997 0.0447697i \(-0.0142554\pi\)
\(798\) −12.8400 22.2395i −0.454530 0.787269i
\(799\) 0.752894 + 6.79369i 0.0266355 + 0.240343i
\(800\) −21.8355 + 37.8202i −0.772001 + 1.33714i
\(801\) −1.90971 1.90971i −0.0674764 0.0674764i
\(802\) −7.10365 + 53.9575i −0.250838 + 1.90531i
\(803\) 17.1696 + 9.91287i 0.605902 + 0.349818i
\(804\) −19.1347 2.51913i −0.674828 0.0888428i
\(805\) 0.887649 + 6.74236i 0.0312855 + 0.237637i
\(806\) 23.2183 56.0540i 0.817831 1.97442i
\(807\) 18.9043 + 5.06538i 0.665461 + 0.178310i
\(808\) 4.43972 + 16.5693i 0.156189 + 0.582905i
\(809\) 6.70062 16.1767i 0.235581 0.568743i −0.761235 0.648476i \(-0.775407\pi\)
0.996816 + 0.0797327i \(0.0254067\pi\)
\(810\) −11.1668 + 8.56858i −0.392361 + 0.301069i
\(811\) −10.5035 + 13.6884i −0.368828 + 0.480666i −0.940489 0.339824i \(-0.889633\pi\)
0.571661 + 0.820490i \(0.306299\pi\)
\(812\) −9.90064 + 5.71614i −0.347444 + 0.200597i
\(813\) 35.3431 14.6396i 1.23954 0.513433i
\(814\) 0.430929 1.60825i 0.0151040 0.0563691i
\(815\) −36.3824 −1.27442
\(816\) 49.9013 + 30.1929i 1.74690 + 1.05696i
\(817\) −12.2171 + 12.2219i −0.427422 + 0.427590i
\(818\) −35.3606 35.3606i −1.23636 1.23636i
\(819\) 61.7788 25.5896i 2.15872 0.894173i
\(820\) 1.01307 0.584895i 0.0353778 0.0204254i
\(821\) −9.58136 23.1315i −0.334392 0.807293i −0.998233 0.0594198i \(-0.981075\pi\)
0.663841 0.747874i \(-0.268925\pi\)
\(822\) 0.762458 + 5.79144i 0.0265938 + 0.202000i
\(823\) 7.97327 1.04970i 0.277931 0.0365903i 0.00972761 0.999953i \(-0.496904\pi\)
0.268203 + 0.963362i \(0.413570\pi\)
\(824\) −0.363599 1.35697i −0.0126666 0.0472722i
\(825\) −70.8509 + 70.8509i −2.46671 + 2.46671i
\(826\) 19.5448 + 25.4713i 0.680051 + 0.886260i
\(827\) −0.561925 4.26824i −0.0195400 0.148421i 0.978894 0.204371i \(-0.0655148\pi\)
−0.998434 + 0.0559494i \(0.982181\pi\)
\(828\) 1.30497 + 3.15047i 0.0453508 + 0.109486i
\(829\) 0.556741 0.321435i 0.0193364 0.0111639i −0.490301 0.871553i \(-0.663113\pi\)
0.509637 + 0.860389i \(0.329780\pi\)
\(830\) −1.83414 + 13.9316i −0.0636638 + 0.483575i
\(831\) −19.9264 + 5.33926i −0.691239 + 0.185217i
\(832\) −9.23554 + 15.9964i −0.320185 + 0.554576i
\(833\) −1.75102 + 11.4749i −0.0606691 + 0.397581i
\(834\) −37.8524 + 65.5623i −1.31072 + 2.27024i
\(835\) −49.9439 + 13.3824i −1.72838 + 0.463118i
\(836\) −5.49277 4.21475i −0.189971 0.145770i
\(837\) −30.7027 + 17.7262i −1.06124 + 0.612708i
\(838\) 1.68512 + 4.06823i 0.0582114 + 0.140535i
\(839\) −36.4772 15.1093i −1.25933 0.521632i −0.349627 0.936889i \(-0.613692\pi\)
−0.909704 + 0.415257i \(0.863692\pi\)
\(840\) −46.2641 + 6.09078i −1.59626 + 0.210152i
\(841\) 21.4997 + 5.76083i 0.741369 + 0.198649i
\(842\) 1.82899 + 6.82588i 0.0630311 + 0.235235i
\(843\) −46.3919 60.4591i −1.59782 2.08232i
\(844\) −10.3120 4.27135i −0.354952 0.147026i
\(845\) −105.601 13.9027i −3.63280 0.478267i
\(846\) −12.3545 7.13287i −0.424756 0.245233i
\(847\) −0.0875168 + 0.664756i −0.00300711 + 0.0228413i
\(848\) −12.2147 + 45.5861i −0.419456 + 1.56543i
\(849\) −48.5909 −1.66763
\(850\) 28.7726 65.6200i 0.986891 2.25075i
\(851\) 0.125570 0.217494i 0.00430450 0.00745560i
\(852\) −23.2170 23.2170i −0.795401 0.795401i
\(853\) −3.76639 + 28.6085i −0.128959 + 0.979538i 0.797547 + 0.603257i \(0.206131\pi\)
−0.926506 + 0.376281i \(0.877203\pi\)
\(854\) −5.04402 + 2.91217i −0.172603 + 0.0996524i
\(855\) 32.5116 42.3699i 1.11187 1.44902i
\(856\) 6.26628 + 2.59558i 0.214177 + 0.0887150i
\(857\) −27.3244 + 3.59733i −0.933385 + 0.122883i −0.581854 0.813293i \(-0.697672\pi\)
−0.351532 + 0.936176i \(0.614339\pi\)
\(858\) 71.8093 71.8093i 2.45153 2.45153i
\(859\) 15.4638 15.4638i 0.527617 0.527617i −0.392244 0.919861i \(-0.628301\pi\)
0.919861 + 0.392244i \(0.128301\pi\)
\(860\) −7.69592 18.5693i −0.262429 0.633208i
\(861\) 2.06031 + 0.853410i 0.0702153 + 0.0290841i
\(862\) −16.1998 39.1097i −0.551767 1.33208i
\(863\) 5.76969 3.33113i 0.196403 0.113393i −0.398574 0.917136i \(-0.630495\pi\)
0.594976 + 0.803743i \(0.297161\pi\)
\(864\) −23.8945 + 9.89743i −0.812908 + 0.336718i
\(865\) −24.3679 + 90.9422i −0.828533 + 3.09213i
\(866\) −22.0284 38.1544i −0.748557 1.29654i
\(867\) −44.0661 20.4102i −1.49656 0.693166i
\(868\) 9.17230 0.311328
\(869\) 17.7320 4.75127i 0.601517 0.161176i
\(870\) −106.252 81.5302i −3.60229 2.76413i
\(871\) 54.8241i 1.85764i
\(872\) 14.8608 19.3670i 0.503252 0.655851i
\(873\) 74.8729 57.4520i 2.53406 1.94445i
\(874\) −2.26463 2.95132i −0.0766022 0.0998299i
\(875\) 11.2722 + 42.0684i 0.381070 + 1.42217i
\(876\) 9.28795 9.28795i 0.313811 0.313811i
\(877\) −5.23479 6.82211i −0.176766 0.230366i 0.696564 0.717494i \(-0.254711\pi\)
−0.873331 + 0.487128i \(0.838044\pi\)
\(878\) 34.4947 26.4687i 1.16414 0.893277i
\(879\) −42.7689 + 55.7375i −1.44256 + 1.87998i
\(880\) −56.6805 + 32.7245i −1.91070 + 1.10314i
\(881\) −26.9524 + 11.1641i −0.908050 + 0.376127i −0.787310 0.616557i \(-0.788527\pi\)
−0.120740 + 0.992684i \(0.538527\pi\)
\(882\) −17.1305 17.1305i −0.576813 0.576813i
\(883\) −21.0282 36.4219i −0.707654 1.22569i −0.965725 0.259567i \(-0.916420\pi\)
0.258071 0.966126i \(-0.416913\pi\)
\(884\) −8.18648 + 18.6704i −0.275341 + 0.627955i
\(885\) −52.7929 + 91.4400i −1.77461 + 3.07372i
\(886\) −38.3141 + 10.2662i −1.28719 + 0.344901i
\(887\) −40.0011 + 16.5690i −1.34311 + 0.556333i −0.934365 0.356317i \(-0.884032\pi\)
−0.408742 + 0.912650i \(0.634032\pi\)
\(888\) 1.49238 + 0.861626i 0.0500810 + 0.0289143i
\(889\) 28.9545 + 3.81194i 0.971104 + 0.127848i
\(890\) −2.71886 + 2.08625i −0.0911363 + 0.0699313i
\(891\) −7.17252 + 0.944280i −0.240288 + 0.0316346i
\(892\) 8.28483 8.28483i 0.277397 0.277397i
\(893\) 4.21997 + 1.13074i 0.141216 + 0.0378387i
\(894\) 38.8614 + 50.6451i 1.29972 + 1.69383i
\(895\) 10.4180 + 4.31529i 0.348237 + 0.144244i
\(896\) −26.8599 3.53617i −0.897326 0.118135i
\(897\) 13.2658 7.65903i 0.442933 0.255727i
\(898\) 19.6873 + 15.1066i 0.656974 + 0.504114i
\(899\) −29.0799 29.0799i −0.969870 0.969870i
\(900\) 20.9900 + 36.3557i 0.699665 + 1.21186i
\(901\) 5.92772 38.8460i 0.197481 1.29415i
\(902\) 2.14174 0.0713120
\(903\) 19.1535 33.1899i 0.637390 1.10449i
\(904\) 2.35036 0.973550i 0.0781717 0.0323798i
\(905\) 49.1903i 1.63514i
\(906\) 66.6047 86.8009i 2.21279 2.88377i
\(907\) 14.8014 + 6.13094i 0.491472 + 0.203574i 0.614634 0.788812i \(-0.289304\pi\)
−0.123162 + 0.992387i \(0.539304\pi\)
\(908\) 4.27523 0.562845i 0.141879 0.0186787i
\(909\) 42.0511 + 11.2676i 1.39475 + 0.373721i
\(910\) −21.9612 81.9604i −0.728008 2.71696i
\(911\) 0.0888934 0.214608i 0.00294517 0.00711027i −0.922400 0.386236i \(-0.873775\pi\)
0.925345 + 0.379125i \(0.123775\pi\)
\(912\) 29.5752 22.6939i 0.979333 0.751469i
\(913\) −4.39665 + 5.72983i −0.145508 + 0.189630i
\(914\) 14.6308i 0.483943i
\(915\) −15.1962 11.6604i −0.502370 0.385482i
\(916\) −11.5534 + 3.09573i −0.381736 + 0.102286i
\(917\) 7.72335 13.3772i 0.255048 0.441755i
\(918\) 37.1765 20.4581i 1.22701 0.675218i
\(919\) −28.5913 −0.943139 −0.471570 0.881829i \(-0.656312\pi\)
−0.471570 + 0.881829i \(0.656312\pi\)
\(920\) −6.52942 + 1.74955i −0.215269 + 0.0576811i
\(921\) −6.35345 + 48.2593i −0.209353 + 1.59020i
\(922\) −38.4305 + 22.1879i −1.26564 + 0.730719i
\(923\) −56.7789 + 73.9957i −1.86890 + 2.43560i
\(924\) 14.1840 + 5.87520i 0.466619 + 0.193280i
\(925\) 1.18314 2.85636i 0.0389016 0.0939167i
\(926\) 65.9676 + 17.6760i 2.16783 + 0.580868i
\(927\) −3.44384 0.922775i −0.113111 0.0303079i
\(928\) −18.2638 23.8019i −0.599540 0.781336i
\(929\) 38.0399 29.1890i 1.24805 0.957661i 0.248109 0.968732i \(-0.420191\pi\)
0.999939 + 0.0110714i \(0.00352421\pi\)
\(930\) 41.1203 + 99.2732i 1.34839 + 3.25530i
\(931\) 6.42521 + 3.70960i 0.210578 + 0.121577i
\(932\) 0.554883 4.21475i 0.0181758 0.138059i
\(933\) −25.4362 + 6.81562i −0.832745 + 0.223133i
\(934\) 2.10129 + 3.63953i 0.0687562 + 0.119089i
\(935\) 43.9059 32.2802i 1.43588 1.05568i
\(936\) 33.2339 + 57.5628i 1.08628 + 1.88150i
\(937\) 34.0428 9.12173i 1.11213 0.297994i 0.344434 0.938810i \(-0.388071\pi\)
0.767694 + 0.640817i \(0.221404\pi\)
\(938\) −27.2766 + 11.2984i −0.890614 + 0.368904i
\(939\) −60.4093 34.8773i −1.97138 1.13818i
\(940\) −3.09357 + 4.03162i −0.100901 + 0.131497i
\(941\) −4.91148 37.3064i −0.160110 1.21615i −0.863129 0.504983i \(-0.831499\pi\)
0.703019 0.711171i \(-0.251835\pi\)
\(942\) −32.5099 + 78.4859i −1.05923 + 2.55721i
\(943\) 0.312045 + 0.0836123i 0.0101616 + 0.00272279i
\(944\) −32.9562 + 32.9562i −1.07263 + 1.07263i
\(945\) −18.9738 + 45.8068i −0.617218 + 1.49010i
\(946\) 4.79652 36.4883i 0.155948 1.18634i
\(947\) 6.71923 + 16.2217i 0.218346 + 0.527133i 0.994659 0.103214i \(-0.0329126\pi\)
−0.776313 + 0.630347i \(0.782913\pi\)
\(948\) 12.1624i 0.395017i
\(949\) −29.6020 22.7144i −0.960921 0.737341i
\(950\) −32.3829 32.3829i −1.05064 1.05064i
\(951\) 30.7820 + 53.3160i 0.998175 + 1.72889i
\(952\) 17.1469 + 0.352034i 0.555735 + 0.0114095i
\(953\) 5.82585 10.0907i 0.188718 0.326869i −0.756105 0.654450i \(-0.772900\pi\)
0.944823 + 0.327581i \(0.106234\pi\)
\(954\) 57.9919 + 57.9919i 1.87756 + 1.87756i
\(955\) 11.1850 84.9588i 0.361939 2.74920i
\(956\) 0.926297 0.534798i 0.0299586 0.0172966i
\(957\) −26.3422 63.5957i −0.851523 2.05576i
\(958\) 2.07583 + 15.7675i 0.0670672 + 0.509426i
\(959\) 1.52711 + 1.99017i 0.0493131 + 0.0642660i
\(960\) −8.46669 31.5981i −0.273261 1.01982i
\(961\) 0.516457 + 1.92744i 0.0166599 + 0.0621756i
\(962\) −1.19915 + 2.89501i −0.0386622 + 0.0933387i
\(963\) 13.6563 10.4789i 0.440070 0.337677i
\(964\) 19.9087 + 2.62103i 0.641215 + 0.0844176i
\(965\) 38.1081 22.0017i 1.22674 0.708260i
\(966\) 6.54447 + 5.02174i 0.210565 + 0.161572i
\(967\) −24.0865 24.0865i −0.774570 0.774570i 0.204332 0.978902i \(-0.434498\pi\)
−0.978902 + 0.204332i \(0.934498\pi\)
\(968\) −0.666471 −0.0214212
\(969\) −22.3943 + 21.4933i −0.719408 + 0.690463i
\(970\) −59.8776 103.711i −1.92255 3.32996i
\(971\) 47.9581 12.8503i 1.53905 0.412387i 0.613090 0.790013i \(-0.289926\pi\)
0.925958 + 0.377627i \(0.123260\pi\)
\(972\) 1.26089 9.57737i 0.0404429 0.307194i
\(973\) 32.5110i 1.04225i
\(974\) −50.0492 6.58911i −1.60368 0.211129i
\(975\) 149.607 114.797i 4.79125 3.67646i
\(976\) −5.14708 6.70781i −0.164754 0.214712i
\(977\) −6.79181 1.81986i −0.217289 0.0582225i 0.148532 0.988908i \(-0.452545\pi\)
−0.365821 + 0.930685i \(0.619212\pi\)
\(978\) −31.2062 + 31.2062i −0.997863 + 0.997863i
\(979\) −1.74634 + 0.229910i −0.0558134 + 0.00734797i
\(980\) −6.84653 + 5.25353i −0.218704 + 0.167818i
\(981\) −23.7088 57.2381i −0.756964 1.82747i
\(982\) 31.5201 + 18.1981i 1.00585 + 0.580725i
\(983\) −19.4490 14.9237i −0.620326 0.475993i 0.250148 0.968208i \(-0.419521\pi\)
−0.870474 + 0.492215i \(0.836187\pi\)
\(984\) −0.573723 + 2.14116i −0.0182896 + 0.0682577i
\(985\) 24.5608 0.782572
\(986\) 34.0846 + 35.5135i 1.08547 + 1.13098i
\(987\) −9.68777 −0.308365
\(988\) 9.21371 + 9.21371i 0.293127 + 0.293127i
\(989\) 2.12332 5.12900i 0.0675178 0.163093i
\(990\) 113.736i 3.61476i
\(991\) 4.97515 + 12.0111i 0.158041 + 0.381544i 0.982989 0.183664i \(-0.0587959\pi\)
−0.824948 + 0.565208i \(0.808796\pi\)
\(992\) 3.14187 + 23.8649i 0.0997545 + 0.757711i
\(993\) 20.5456 49.6015i 0.651995 1.57406i
\(994\) −48.5163 12.9999i −1.53884 0.412332i
\(995\) 7.94159 + 2.12794i 0.251765 + 0.0674603i
\(996\) 2.91292 + 3.79619i 0.0922993 + 0.120287i
\(997\) 2.72562 + 1.12899i 0.0863213 + 0.0357555i 0.425426 0.904993i \(-0.360124\pi\)
−0.339105 + 0.940749i \(0.610124\pi\)
\(998\) 38.7901 + 5.10681i 1.22788 + 0.161653i
\(999\) 1.58569 0.915500i 0.0501691 0.0289651i
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 731.2.v.a.36.15 512
17.9 even 8 inner 731.2.v.a.638.15 yes 512
43.6 even 3 inner 731.2.v.a.393.15 yes 512
731.264 even 24 inner 731.2.v.a.264.15 yes 512
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
731.2.v.a.36.15 512 1.1 even 1 trivial
731.2.v.a.264.15 yes 512 731.264 even 24 inner
731.2.v.a.393.15 yes 512 43.6 even 3 inner
731.2.v.a.638.15 yes 512 17.9 even 8 inner