Properties

Label 287.2.be.a.12.10
Level $287$
Weight $2$
Character 287.12
Analytic conductor $2.292$
Analytic rank $0$
Dimension $832$
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] = [287,2,Mod(12,287)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(287, base_ring=CyclotomicField(120))
 
chi = DirichletCharacter(H, H._module([100, 81]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("287.12");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 287 = 7 \cdot 41 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 287.be (of order \(120\), degree \(32\), minimal)

Newform invariants

comment: select newform
 
sage: f = N[0] # Warning: the index may be different
 
gp: f = lf[1] \\ Warning: the index may be different
 
Self dual: no
Analytic conductor: \(2.29170653801\)
Analytic rank: \(0\)
Dimension: \(832\)
Relative dimension: \(26\) over \(\Q(\zeta_{120})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{120}]$

Embedding invariants

Embedding label 12.10
Character \(\chi\) \(=\) 287.12
Dual form 287.2.be.a.24.10

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-0.740543 - 0.599680i) q^{2} +(2.48641 - 0.327342i) q^{3} +(-0.227035 - 1.06812i) q^{4} +(0.303565 + 0.0159092i) q^{5} +(-2.03759 - 1.24864i) q^{6} +(2.34417 - 1.22673i) q^{7} +(-1.33762 + 2.62522i) q^{8} +(3.17729 - 0.851352i) q^{9} +O(q^{10})\) \(q+(-0.740543 - 0.599680i) q^{2} +(2.48641 - 0.327342i) q^{3} +(-0.227035 - 1.06812i) q^{4} +(0.303565 + 0.0159092i) q^{5} +(-2.03759 - 1.24864i) q^{6} +(2.34417 - 1.22673i) q^{7} +(-1.33762 + 2.62522i) q^{8} +(3.17729 - 0.851352i) q^{9} +(-0.215262 - 0.193823i) q^{10} +(1.77152 + 3.71406i) q^{11} +(-0.914142 - 2.58146i) q^{12} +(-1.04871 - 4.36819i) q^{13} +(-2.47160 - 0.497309i) q^{14} +(0.759994 - 0.0598128i) q^{15} +(0.569705 - 0.253649i) q^{16} +(-7.43153 - 2.63164i) q^{17} +(-2.86346 - 1.27489i) q^{18} +(5.48245 + 5.20265i) q^{19} +(-0.0519271 - 0.327855i) q^{20} +(5.42701 - 3.81749i) q^{21} +(0.915364 - 3.81277i) q^{22} +(1.75602 - 0.184565i) q^{23} +(-2.46651 + 6.96522i) q^{24} +(-4.88071 - 0.512983i) q^{25} +(-1.84290 + 3.86372i) q^{26} +(0.670465 - 0.277716i) q^{27} +(-1.84250 - 2.22534i) q^{28} +(-0.875587 + 1.02518i) q^{29} +(-0.598677 - 0.411459i) q^{30} +(-1.00897 + 1.12057i) q^{31} +(5.11791 + 1.37134i) q^{32} +(5.62048 + 8.65478i) q^{33} +(3.92523 + 6.40539i) q^{34} +(0.731125 - 0.335097i) q^{35} +(-1.63070 - 3.20043i) q^{36} +(-3.36047 - 3.73218i) q^{37} +(-0.940065 - 7.14050i) q^{38} +(-4.03741 - 10.5178i) q^{39} +(-0.447818 + 0.775644i) q^{40} +(6.39753 - 0.267606i) q^{41} +(-6.30820 - 0.427453i) q^{42} +(-0.0608963 + 0.384484i) q^{43} +(3.56486 - 2.73541i) q^{44} +(0.978058 - 0.207893i) q^{45} +(-1.41108 - 0.916369i) q^{46} +(2.51251 - 1.36418i) q^{47} +(1.33349 - 0.817163i) q^{48} +(3.99028 - 5.75132i) q^{49} +(3.30675 + 3.30675i) q^{50} +(-19.3393 - 4.11069i) q^{51} +(-4.42765 + 2.11188i) q^{52} +(-1.67586 + 9.04214i) q^{53} +(-0.663049 - 0.196404i) q^{54} +(0.478683 + 1.15564i) q^{55} +(0.0848247 + 7.79485i) q^{56} +(15.3346 + 11.1413i) q^{57} +(1.26319 - 0.234119i) q^{58} +(-4.13969 + 9.29790i) q^{59} +(-0.236433 - 0.798183i) q^{60} +(-2.64331 - 1.01467i) q^{61} +(1.41917 - 0.224774i) q^{62} +(6.40374 - 5.89338i) q^{63} +(-3.70078 - 5.09368i) q^{64} +(-0.248857 - 1.34271i) q^{65} +(1.02789 - 9.77973i) q^{66} +(1.15580 - 0.794361i) q^{67} +(-1.12368 + 8.53523i) q^{68} +(4.30575 - 1.03372i) q^{69} +(-0.742380 - 0.190287i) q^{70} +(-0.0506383 + 0.643420i) q^{71} +(-2.01501 + 9.47986i) q^{72} +(-2.52256 + 9.41434i) q^{73} +(0.250459 + 4.77904i) q^{74} +(-12.3034 + 0.322175i) q^{75} +(4.31233 - 7.03709i) q^{76} +(8.70888 + 6.53323i) q^{77} +(-3.31745 + 10.2100i) q^{78} +(8.98122 + 11.7046i) q^{79} +(0.176978 - 0.0679354i) q^{80} +(-6.96990 + 4.02407i) q^{81} +(-4.89812 - 3.63830i) q^{82} +16.3134i q^{83} +(-5.30965 - 4.92998i) q^{84} +(-2.21408 - 0.917104i) q^{85} +(0.275664 - 0.248209i) q^{86} +(-1.84148 + 2.83563i) q^{87} +(-12.1198 - 0.317369i) q^{88} +(-0.356627 - 13.6190i) q^{89} +(-0.848963 - 0.432568i) q^{90} +(-7.81693 - 8.95331i) q^{91} +(-0.595814 - 1.83373i) q^{92} +(-2.14189 + 3.11647i) q^{93} +(-2.67869 - 0.496466i) q^{94} +(1.58151 + 1.66656i) q^{95} +(13.1741 + 1.73440i) q^{96} +(-0.866770 - 11.0134i) q^{97} +(-6.40393 + 1.86620i) q^{98} +(8.79060 + 10.2925i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 832 q - 16 q^{2} - 48 q^{3} - 20 q^{4} - 48 q^{5} - 32 q^{7} - 48 q^{8} - 24 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 832 q - 16 q^{2} - 48 q^{3} - 20 q^{4} - 48 q^{5} - 32 q^{7} - 48 q^{8} - 24 q^{9} - 36 q^{10} - 16 q^{11} - 48 q^{12} - 36 q^{14} - 88 q^{15} - 92 q^{16} - 84 q^{17} - 12 q^{18} - 72 q^{19} + 8 q^{21} + 16 q^{22} - 20 q^{23} - 20 q^{25} - 24 q^{26} - 16 q^{28} - 96 q^{29} + 56 q^{30} - 60 q^{31} - 68 q^{32} - 108 q^{33} - 32 q^{35} + 24 q^{37} - 132 q^{38} - 16 q^{39} - 16 q^{43} + 112 q^{44} - 60 q^{45} + 24 q^{46} - 72 q^{47} + 72 q^{49} - 72 q^{50} + 24 q^{51} - 72 q^{52} + 8 q^{53} + 120 q^{54} - 8 q^{56} - 64 q^{57} - 20 q^{58} - 36 q^{59} - 16 q^{60} - 48 q^{61} - 76 q^{63} - 80 q^{64} - 12 q^{65} - 60 q^{66} - 24 q^{67} + 324 q^{68} - 260 q^{70} - 112 q^{71} - 20 q^{72} - 12 q^{73} - 60 q^{74} + 252 q^{75} - 16 q^{77} - 32 q^{78} - 20 q^{79} + 60 q^{80} + 528 q^{82} - 352 q^{84} - 144 q^{85} - 20 q^{86} + 84 q^{87} + 12 q^{88} + 144 q^{89} - 144 q^{91} - 96 q^{92} - 24 q^{93} - 156 q^{94} - 16 q^{95} + 528 q^{96} - 4 q^{98} + 144 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/287\mathbb{Z}\right)^\times\).

\(n\) \(206\) \(211\)
\(\chi(n)\) \(e\left(\frac{5}{6}\right)\) \(e\left(\frac{27}{40}\right)\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).



Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.740543 0.599680i −0.523643 0.424038i 0.330709 0.943733i \(-0.392712\pi\)
−0.854352 + 0.519695i \(0.826046\pi\)
\(3\) 2.48641 0.327342i 1.43553 0.188991i 0.627721 0.778438i \(-0.283988\pi\)
0.807807 + 0.589448i \(0.200655\pi\)
\(4\) −0.227035 1.06812i −0.113518 0.534059i
\(5\) 0.303565 + 0.0159092i 0.135758 + 0.00711479i 0.120094 0.992763i \(-0.461680\pi\)
0.0156643 + 0.999877i \(0.495014\pi\)
\(6\) −2.03759 1.24864i −0.831843 0.509754i
\(7\) 2.34417 1.22673i 0.886014 0.463659i
\(8\) −1.33762 + 2.62522i −0.472918 + 0.928155i
\(9\) 3.17729 0.851352i 1.05910 0.283784i
\(10\) −0.215262 0.193823i −0.0680720 0.0612923i
\(11\) 1.77152 + 3.71406i 0.534133 + 1.11983i 0.974989 + 0.222254i \(0.0713415\pi\)
−0.440856 + 0.897578i \(0.645325\pi\)
\(12\) −0.914142 2.58146i −0.263890 0.745202i
\(13\) −1.04871 4.36819i −0.290860 1.21152i −0.906061 0.423148i \(-0.860925\pi\)
0.615201 0.788370i \(-0.289075\pi\)
\(14\) −2.47160 0.497309i −0.660564 0.132911i
\(15\) 0.759994 0.0598128i 0.196230 0.0154436i
\(16\) 0.569705 0.253649i 0.142426 0.0634122i
\(17\) −7.43153 2.63164i −1.80241 0.638267i −0.999087 0.0427252i \(-0.986396\pi\)
−0.803324 0.595542i \(-0.796937\pi\)
\(18\) −2.86346 1.27489i −0.674924 0.300495i
\(19\) 5.48245 + 5.20265i 1.25776 + 1.19357i 0.971925 + 0.235291i \(0.0756043\pi\)
0.285835 + 0.958279i \(0.407729\pi\)
\(20\) −0.0519271 0.327855i −0.0116113 0.0733106i
\(21\) 5.42701 3.81749i 1.18427 0.833044i
\(22\) 0.915364 3.81277i 0.195156 0.812885i
\(23\) 1.75602 0.184565i 0.366154 0.0384844i 0.0803352 0.996768i \(-0.474401\pi\)
0.285819 + 0.958284i \(0.407734\pi\)
\(24\) −2.46651 + 6.96522i −0.503475 + 1.42177i
\(25\) −4.88071 0.512983i −0.976142 0.102597i
\(26\) −1.84290 + 3.86372i −0.361423 + 0.757738i
\(27\) 0.670465 0.277716i 0.129031 0.0534464i
\(28\) −1.84250 2.22534i −0.348199 0.420550i
\(29\) −0.875587 + 1.02518i −0.162592 + 0.190371i −0.835721 0.549154i \(-0.814950\pi\)
0.673129 + 0.739525i \(0.264950\pi\)
\(30\) −0.598677 0.411459i −0.109303 0.0751218i
\(31\) −1.00897 + 1.12057i −0.181216 + 0.201260i −0.826908 0.562337i \(-0.809902\pi\)
0.645692 + 0.763598i \(0.276569\pi\)
\(32\) 5.11791 + 1.37134i 0.904728 + 0.242421i
\(33\) 5.62048 + 8.65478i 0.978400 + 1.50660i
\(34\) 3.92523 + 6.40539i 0.673171 + 1.09851i
\(35\) 0.731125 0.335097i 0.123583 0.0566418i
\(36\) −1.63070 3.20043i −0.271784 0.533405i
\(37\) −3.36047 3.73218i −0.552457 0.613566i 0.400638 0.916236i \(-0.368789\pi\)
−0.953095 + 0.302670i \(0.902122\pi\)
\(38\) −0.940065 7.14050i −0.152499 1.15834i
\(39\) −4.03741 10.5178i −0.646503 1.68420i
\(40\) −0.447818 + 0.775644i −0.0708062 + 0.122640i
\(41\) 6.39753 0.267606i 0.999126 0.0417931i
\(42\) −6.30820 0.427453i −0.973377 0.0659575i
\(43\) −0.0608963 + 0.384484i −0.00928660 + 0.0586333i −0.991896 0.127049i \(-0.959449\pi\)
0.982610 + 0.185682i \(0.0594495\pi\)
\(44\) 3.56486 2.73541i 0.537423 0.412379i
\(45\) 0.978058 0.207893i 0.145800 0.0309908i
\(46\) −1.41108 0.916369i −0.208053 0.135111i
\(47\) 2.51251 1.36418i 0.366487 0.198986i −0.283427 0.958994i \(-0.591472\pi\)
0.649914 + 0.760008i \(0.274805\pi\)
\(48\) 1.33349 0.817163i 0.192472 0.117947i
\(49\) 3.99028 5.75132i 0.570040 0.821617i
\(50\) 3.30675 + 3.30675i 0.467645 + 0.467645i
\(51\) −19.3393 4.11069i −2.70804 0.575611i
\(52\) −4.42765 + 2.11188i −0.614004 + 0.292865i
\(53\) −1.67586 + 9.04214i −0.230197 + 1.24203i 0.647219 + 0.762304i \(0.275932\pi\)
−0.877417 + 0.479729i \(0.840735\pi\)
\(54\) −0.663049 0.196404i −0.0902295 0.0267272i
\(55\) 0.478683 + 1.15564i 0.0645456 + 0.155827i
\(56\) 0.0848247 + 7.79485i 0.0113352 + 1.04163i
\(57\) 15.3346 + 11.1413i 2.03112 + 1.47570i
\(58\) 1.26319 0.234119i 0.165865 0.0307413i
\(59\) −4.13969 + 9.29790i −0.538942 + 1.21048i 0.414815 + 0.909906i \(0.363846\pi\)
−0.953757 + 0.300578i \(0.902820\pi\)
\(60\) −0.236433 0.798183i −0.0305233 0.103045i
\(61\) −2.64331 1.01467i −0.338441 0.129915i 0.183211 0.983074i \(-0.441351\pi\)
−0.521652 + 0.853158i \(0.674684\pi\)
\(62\) 1.41917 0.224774i 0.180234 0.0285463i
\(63\) 6.40374 5.89338i 0.806795 0.742496i
\(64\) −3.70078 5.09368i −0.462597 0.636711i
\(65\) −0.248857 1.34271i −0.0308669 0.166543i
\(66\) 1.02789 9.77973i 0.126525 1.20380i
\(67\) 1.15580 0.794361i 0.141204 0.0970467i −0.493722 0.869620i \(-0.664364\pi\)
0.634926 + 0.772573i \(0.281031\pi\)
\(68\) −1.12368 + 8.53523i −0.136267 + 1.03505i
\(69\) 4.30575 1.03372i 0.518352 0.124445i
\(70\) −0.742380 0.190287i −0.0887314 0.0227436i
\(71\) −0.0506383 + 0.643420i −0.00600966 + 0.0763600i −0.999191 0.0402216i \(-0.987194\pi\)
0.993181 + 0.116582i \(0.0371936\pi\)
\(72\) −2.01501 + 9.47986i −0.237471 + 1.11721i
\(73\) −2.52256 + 9.41434i −0.295244 + 1.10186i 0.645780 + 0.763524i \(0.276532\pi\)
−0.941024 + 0.338341i \(0.890134\pi\)
\(74\) 0.250459 + 4.77904i 0.0291153 + 0.555552i
\(75\) −12.3034 + 0.322175i −1.42067 + 0.0372015i
\(76\) 4.31233 7.03709i 0.494658 0.807209i
\(77\) 8.70888 + 6.53323i 0.992469 + 0.744531i
\(78\) −3.31745 + 10.2100i −0.375627 + 1.15606i
\(79\) 8.98122 + 11.7046i 1.01047 + 1.31687i 0.947812 + 0.318830i \(0.103290\pi\)
0.0626546 + 0.998035i \(0.480043\pi\)
\(80\) 0.176978 0.0679354i 0.0197867 0.00759541i
\(81\) −6.96990 + 4.02407i −0.774433 + 0.447119i
\(82\) −4.89812 3.63830i −0.540907 0.401783i
\(83\) 16.3134i 1.79063i 0.445434 + 0.895315i \(0.353049\pi\)
−0.445434 + 0.895315i \(0.646951\pi\)
\(84\) −5.30965 4.92998i −0.579330 0.537905i
\(85\) −2.21408 0.917104i −0.240151 0.0994739i
\(86\) 0.275664 0.248209i 0.0297256 0.0267650i
\(87\) −1.84148 + 2.83563i −0.197428 + 0.304012i
\(88\) −12.1198 0.317369i −1.29198 0.0338316i
\(89\) −0.356627 13.6190i −0.0378024 1.44361i −0.710500 0.703697i \(-0.751531\pi\)
0.672697 0.739918i \(-0.265136\pi\)
\(90\) −0.848963 0.432568i −0.0894886 0.0455967i
\(91\) −7.81693 8.95331i −0.819437 0.938562i
\(92\) −0.595814 1.83373i −0.0621179 0.191179i
\(93\) −2.14189 + 3.11647i −0.222104 + 0.323163i
\(94\) −2.67869 0.496466i −0.276286 0.0512065i
\(95\) 1.58151 + 1.66656i 0.162259 + 0.170986i
\(96\) 13.1741 + 1.73440i 1.34458 + 0.177017i
\(97\) −0.866770 11.0134i −0.0880071 1.11824i −0.869371 0.494160i \(-0.835476\pi\)
0.781364 0.624076i \(-0.214524\pi\)
\(98\) −6.40393 + 1.86620i −0.646894 + 0.188515i
\(99\) 8.79060 + 10.2925i 0.883488 + 1.03443i
\(100\) 0.560168 + 5.32964i 0.0560168 + 0.532964i
\(101\) 3.54242 1.04931i 0.352484 0.104411i −0.102934 0.994688i \(-0.532823\pi\)
0.455418 + 0.890278i \(0.349490\pi\)
\(102\) 11.8565 + 14.6415i 1.17396 + 1.44972i
\(103\) 3.65834 9.53029i 0.360466 0.939047i −0.626687 0.779271i \(-0.715589\pi\)
0.987153 0.159776i \(-0.0510772\pi\)
\(104\) 12.8702 + 3.08987i 1.26203 + 0.302986i
\(105\) 1.70818 1.07252i 0.166701 0.104667i
\(106\) 6.66343 5.69111i 0.647210 0.552770i
\(107\) −2.40414 5.39979i −0.232417 0.522018i 0.759257 0.650791i \(-0.225563\pi\)
−0.991674 + 0.128774i \(0.958896\pi\)
\(108\) −0.448852 0.653084i −0.0431908 0.0628430i
\(109\) −7.92981 + 10.3343i −0.759538 + 0.989849i 0.240279 + 0.970704i \(0.422761\pi\)
−0.999817 + 0.0191449i \(0.993906\pi\)
\(110\) 0.338530 1.14286i 0.0322776 0.108967i
\(111\) −9.57719 8.17969i −0.909026 0.776382i
\(112\) 1.02433 1.29347i 0.0967899 0.122221i
\(113\) −0.356733 + 0.115910i −0.0335586 + 0.0109039i −0.325748 0.945457i \(-0.605616\pi\)
0.292190 + 0.956360i \(0.405616\pi\)
\(114\) −4.67477 17.4465i −0.437832 1.63401i
\(115\) 0.536001 0.0280906i 0.0499823 0.00261946i
\(116\) 1.29380 + 0.702478i 0.120127 + 0.0652234i
\(117\) −7.05092 12.9862i −0.651858 1.20057i
\(118\) 8.64139 4.40301i 0.795504 0.405330i
\(119\) −20.6491 + 2.94743i −1.89290 + 0.270191i
\(120\) −0.859557 + 2.07516i −0.0784665 + 0.189435i
\(121\) −3.73347 + 4.61045i −0.339406 + 0.419132i
\(122\) 1.34901 + 2.33655i 0.122133 + 0.211541i
\(123\) 15.8193 2.75956i 1.42638 0.248821i
\(124\) 1.42597 + 0.823285i 0.128056 + 0.0739331i
\(125\) −2.97465 0.471138i −0.266060 0.0421398i
\(126\) −8.27639 + 0.524111i −0.737319 + 0.0466915i
\(127\) −0.528442 0.171701i −0.0468917 0.0152360i 0.285477 0.958385i \(-0.407848\pi\)
−0.332369 + 0.943149i \(0.607848\pi\)
\(128\) 0.240605 4.59101i 0.0212666 0.405792i
\(129\) −0.0255553 + 0.975918i −0.00225002 + 0.0859248i
\(130\) −0.620909 + 1.14357i −0.0544573 + 0.100298i
\(131\) 7.02099 4.55949i 0.613427 0.398364i −0.200197 0.979756i \(-0.564158\pi\)
0.813624 + 0.581392i \(0.197492\pi\)
\(132\) 7.96828 7.96828i 0.693549 0.693549i
\(133\) 19.2340 + 5.47044i 1.66780 + 0.474347i
\(134\) −1.33228 0.104853i −0.115092 0.00905792i
\(135\) 0.207948 0.0736382i 0.0178973 0.00633777i
\(136\) 16.8492 15.9893i 1.44480 1.37107i
\(137\) −14.3495 11.0107i −1.22596 0.940712i −0.226514 0.974008i \(-0.572733\pi\)
−0.999446 + 0.0332963i \(0.989400\pi\)
\(138\) −3.80850 1.81656i −0.324201 0.154636i
\(139\) 0.847689 1.16674i 0.0719000 0.0989619i −0.771552 0.636166i \(-0.780519\pi\)
0.843452 + 0.537204i \(0.180519\pi\)
\(140\) −0.523915 0.704848i −0.0442789 0.0595705i
\(141\) 5.80056 4.21435i 0.488495 0.354913i
\(142\) 0.423346 0.446114i 0.0355264 0.0374370i
\(143\) 14.3659 11.6333i 1.20134 0.972825i
\(144\) 1.59417 1.29094i 0.132848 0.107578i
\(145\) −0.282107 + 0.297279i −0.0234277 + 0.0246877i
\(146\) 7.51366 5.45899i 0.621835 0.451789i
\(147\) 8.03882 15.6063i 0.663031 1.28719i
\(148\) −3.22346 + 4.43671i −0.264967 + 0.364695i
\(149\) −9.37966 4.47387i −0.768411 0.366513i 0.00535402 0.999986i \(-0.498296\pi\)
−0.773765 + 0.633472i \(0.781629\pi\)
\(150\) 9.30437 + 7.13949i 0.759698 + 0.582937i
\(151\) 10.8108 10.2590i 0.879769 0.834869i −0.107455 0.994210i \(-0.534270\pi\)
0.987224 + 0.159341i \(0.0509368\pi\)
\(152\) −20.9915 + 7.43348i −1.70263 + 0.602935i
\(153\) −25.8526 2.03464i −2.09006 0.164491i
\(154\) −2.53145 10.0607i −0.203990 0.810713i
\(155\) −0.324114 + 0.324114i −0.0260334 + 0.0260334i
\(156\) −10.3176 + 6.70034i −0.826071 + 0.536457i
\(157\) 6.69210 12.3253i 0.534088 0.983667i −0.461255 0.887267i \(-0.652601\pi\)
0.995343 0.0963993i \(-0.0307326\pi\)
\(158\) 0.368006 14.0536i 0.0292770 1.11804i
\(159\) −1.20700 + 23.0310i −0.0957216 + 1.82648i
\(160\) 1.53180 + 0.497713i 0.121100 + 0.0393476i
\(161\) 3.88999 2.58680i 0.306574 0.203869i
\(162\) 7.57467 + 1.19971i 0.595122 + 0.0942581i
\(163\) −13.4442 7.76201i −1.05303 0.607968i −0.129534 0.991575i \(-0.541348\pi\)
−0.923496 + 0.383607i \(0.874682\pi\)
\(164\) −1.73830 6.77256i −0.135738 0.528848i
\(165\) 1.56849 + 2.71671i 0.122107 + 0.211495i
\(166\) 9.78282 12.0808i 0.759294 0.937650i
\(167\) 4.47317 10.7992i 0.346144 0.835666i −0.650924 0.759143i \(-0.725618\pi\)
0.997068 0.0765229i \(-0.0243818\pi\)
\(168\) 2.76249 + 19.3534i 0.213131 + 1.49315i
\(169\) −6.39821 + 3.26005i −0.492170 + 0.250773i
\(170\) 1.08966 + 2.00690i 0.0835728 + 0.153922i
\(171\) 21.8486 + 11.8628i 1.67081 + 0.907173i
\(172\) 0.424500 0.0222471i 0.0323678 0.00169632i
\(173\) 2.17811 + 8.12880i 0.165598 + 0.618021i 0.997963 + 0.0637932i \(0.0203198\pi\)
−0.832365 + 0.554228i \(0.813014\pi\)
\(174\) 3.06417 0.995609i 0.232294 0.0754769i
\(175\) −12.0705 + 4.78478i −0.912445 + 0.361695i
\(176\) 1.95131 + 1.66658i 0.147086 + 0.125623i
\(177\) −7.24937 + 24.4735i −0.544896 + 1.83954i
\(178\) −7.90296 + 10.2993i −0.592352 + 0.771969i
\(179\) −3.74045 5.44239i −0.279575 0.406784i 0.658846 0.752278i \(-0.271045\pi\)
−0.938421 + 0.345494i \(0.887711\pi\)
\(180\) −0.444108 0.997482i −0.0331018 0.0743479i
\(181\) 13.1376 11.2206i 0.976509 0.834017i −0.00962760 0.999954i \(-0.503065\pi\)
0.986136 + 0.165936i \(0.0530646\pi\)
\(182\) 0.419655 + 11.3180i 0.0311069 + 0.838943i
\(183\) −6.90449 1.65762i −0.510395 0.122535i
\(184\) −1.86435 + 4.85680i −0.137442 + 0.358048i
\(185\) −0.960744 1.18642i −0.0706353 0.0872273i
\(186\) 3.45504 1.02343i 0.253336 0.0750416i
\(187\) −3.39100 32.2632i −0.247974 2.35932i
\(188\) −2.02753 2.37393i −0.147873 0.173137i
\(189\) 1.23100 1.47349i 0.0895423 0.107181i
\(190\) −0.171771 2.18256i −0.0124616 0.158340i
\(191\) 6.74999 + 0.888653i 0.488412 + 0.0643006i 0.370711 0.928748i \(-0.379114\pi\)
0.117701 + 0.993049i \(0.462447\pi\)
\(192\) −10.8690 11.4536i −0.784404 0.826589i
\(193\) −2.36679 0.438658i −0.170365 0.0315753i 0.0963678 0.995346i \(-0.469277\pi\)
−0.266733 + 0.963770i \(0.585944\pi\)
\(194\) −5.96261 + 8.67565i −0.428090 + 0.622875i
\(195\) −1.05829 3.25707i −0.0757855 0.233244i
\(196\) −7.04902 2.95634i −0.503501 0.211167i
\(197\) 11.7020 + 5.96246i 0.833732 + 0.424807i 0.818104 0.575070i \(-0.195025\pi\)
0.0156277 + 0.999878i \(0.495025\pi\)
\(198\) −0.337630 12.8936i −0.0239943 0.916306i
\(199\) −8.61480 0.225587i −0.610687 0.0159914i −0.280418 0.959878i \(-0.590473\pi\)
−0.330269 + 0.943887i \(0.607140\pi\)
\(200\) 7.87521 12.1268i 0.556861 0.857491i
\(201\) 2.61377 2.35345i 0.184361 0.165999i
\(202\) −3.25257 1.34726i −0.228850 0.0947927i
\(203\) −0.794910 + 3.47731i −0.0557918 + 0.244059i
\(204\) 21.5899i 1.51159i
\(205\) 1.94632 + 0.0205435i 0.135937 + 0.00143482i
\(206\) −8.42428 + 4.86376i −0.586947 + 0.338874i
\(207\) 5.42224 2.08140i 0.376872 0.144667i
\(208\) −1.70544 2.22258i −0.118251 0.154108i
\(209\) −9.61072 + 29.5787i −0.664787 + 2.04600i
\(210\) −1.90815 0.230118i −0.131675 0.0158797i
\(211\) −9.14730 + 14.9270i −0.629726 + 1.02762i 0.365574 + 0.930782i \(0.380873\pi\)
−0.995300 + 0.0968374i \(0.969127\pi\)
\(212\) 10.0385 0.262869i 0.689450 0.0180539i
\(213\) 0.0847109 + 1.61638i 0.00580430 + 0.110753i
\(214\) −1.45778 + 5.44049i −0.0996515 + 0.371905i
\(215\) −0.0246028 + 0.115747i −0.00167790 + 0.00789388i
\(216\) −0.167760 + 2.13159i −0.0114146 + 0.145036i
\(217\) −0.990556 + 3.86453i −0.0672433 + 0.262342i
\(218\) 12.0697 2.89767i 0.817460 0.196255i
\(219\) −3.19042 + 24.2336i −0.215588 + 1.63756i
\(220\) 1.12568 0.773661i 0.0758936 0.0521602i
\(221\) −3.70200 + 35.2222i −0.249023 + 2.36930i
\(222\) 2.18712 + 11.8007i 0.146790 + 0.792008i
\(223\) −4.74699 6.53366i −0.317882 0.437527i 0.619937 0.784651i \(-0.287158\pi\)
−0.937819 + 0.347125i \(0.887158\pi\)
\(224\) 13.6795 3.06362i 0.914002 0.204697i
\(225\) −15.9442 + 2.52531i −1.06294 + 0.168354i
\(226\) 0.333685 + 0.128090i 0.0221964 + 0.00852039i
\(227\) −1.48354 5.00836i −0.0984662 0.332416i 0.895071 0.445924i \(-0.147125\pi\)
−0.993537 + 0.113507i \(0.963791\pi\)
\(228\) 8.41868 18.9087i 0.557541 1.25226i
\(229\) 20.0098 3.70860i 1.32229 0.245071i 0.526256 0.850326i \(-0.323595\pi\)
0.796032 + 0.605255i \(0.206929\pi\)
\(230\) −0.413777 0.300627i −0.0272837 0.0198227i
\(231\) 23.7924 + 13.3935i 1.56543 + 0.881228i
\(232\) −1.52012 3.66990i −0.0998011 0.240941i
\(233\) −10.2783 3.04456i −0.673351 0.199456i −0.0707451 0.997494i \(-0.522538\pi\)
−0.602606 + 0.798039i \(0.705871\pi\)
\(234\) −2.56604 + 13.8451i −0.167747 + 0.905084i
\(235\) 0.784412 0.374145i 0.0511694 0.0244065i
\(236\) 10.8711 + 2.31073i 0.707649 + 0.150415i
\(237\) 26.1624 + 26.1624i 1.69943 + 1.69943i
\(238\) 17.0591 + 10.2001i 1.10577 + 0.661177i
\(239\) −13.2561 + 8.12336i −0.857467 + 0.525456i −0.880373 0.474281i \(-0.842708\pi\)
0.0229067 + 0.999738i \(0.492708\pi\)
\(240\) 0.417801 0.226847i 0.0269689 0.0146429i
\(241\) −17.0076 11.0449i −1.09556 0.711463i −0.135362 0.990796i \(-0.543220\pi\)
−0.960194 + 0.279333i \(0.909887\pi\)
\(242\) 5.52959 1.17535i 0.355455 0.0755543i
\(243\) −17.7400 + 13.6124i −1.13802 + 0.873234i
\(244\) −0.483664 + 3.05373i −0.0309634 + 0.195495i
\(245\) 1.30281 1.68242i 0.0832334 0.107486i
\(246\) −13.3697 7.44292i −0.852421 0.474544i
\(247\) 16.9767 29.4044i 1.08020 1.87096i
\(248\) −1.59213 4.14764i −0.101100 0.263376i
\(249\) 5.34006 + 40.5618i 0.338412 + 2.57050i
\(250\) 1.92032 + 2.13273i 0.121452 + 0.134886i
\(251\) −1.70246 3.34127i −0.107459 0.210899i 0.831015 0.556250i \(-0.187760\pi\)
−0.938474 + 0.345350i \(0.887760\pi\)
\(252\) −7.74870 5.50194i −0.488122 0.346589i
\(253\) 3.79630 + 6.19499i 0.238671 + 0.389476i
\(254\) 0.288368 + 0.444048i 0.0180938 + 0.0278621i
\(255\) −5.80532 1.55553i −0.363543 0.0974112i
\(256\) −11.3572 + 12.6134i −0.709825 + 0.788340i
\(257\) −1.49963 1.03067i −0.0935446 0.0642914i 0.518721 0.854944i \(-0.326408\pi\)
−0.612266 + 0.790652i \(0.709742\pi\)
\(258\) 0.604163 0.707384i 0.0376135 0.0440398i
\(259\) −12.4559 4.62649i −0.773970 0.287476i
\(260\) −1.37768 + 0.570652i −0.0854399 + 0.0353904i
\(261\) −1.90920 + 4.00273i −0.118177 + 0.247763i
\(262\) −7.93358 0.833853i −0.490138 0.0515156i
\(263\) 5.18322 14.6370i 0.319611 0.902553i −0.667795 0.744345i \(-0.732762\pi\)
0.987406 0.158208i \(-0.0505717\pi\)
\(264\) −30.2387 + 3.17822i −1.86106 + 0.195606i
\(265\) −0.652585 + 2.71821i −0.0400880 + 0.166979i
\(266\) −10.9631 15.5854i −0.672192 0.955600i
\(267\) −5.34480 33.7457i −0.327096 2.06520i
\(268\) −1.11088 1.05419i −0.0678577 0.0643946i
\(269\) −3.26783 1.45493i −0.199243 0.0887087i 0.304690 0.952452i \(-0.401447\pi\)
−0.503932 + 0.863743i \(0.668114\pi\)
\(270\) −0.198154 0.0701699i −0.0120592 0.00427040i
\(271\) 20.8940 9.30263i 1.26922 0.565094i 0.342034 0.939688i \(-0.388884\pi\)
0.927189 + 0.374593i \(0.122218\pi\)
\(272\) −4.90129 + 0.385740i −0.297185 + 0.0233889i
\(273\) −22.3669 19.7028i −1.35370 1.19247i
\(274\) 4.02349 + 16.7590i 0.243068 + 1.01245i
\(275\) −6.74101 19.0360i −0.406498 1.14792i
\(276\) −2.08169 4.36436i −0.125303 0.262704i
\(277\) −13.9314 12.5439i −0.837059 0.753691i 0.134393 0.990928i \(-0.457092\pi\)
−0.971452 + 0.237237i \(0.923758\pi\)
\(278\) −1.32742 + 0.355682i −0.0796135 + 0.0213324i
\(279\) −2.25178 + 4.41936i −0.134810 + 0.264580i
\(280\) −0.0982597 + 2.36759i −0.00587214 + 0.141491i
\(281\) −10.4716 6.41698i −0.624681 0.382805i 0.173838 0.984774i \(-0.444383\pi\)
−0.798519 + 0.601969i \(0.794383\pi\)
\(282\) −6.82283 0.357569i −0.406293 0.0212929i
\(283\) 2.31700 + 10.9006i 0.137731 + 0.647976i 0.991798 + 0.127812i \(0.0407955\pi\)
−0.854067 + 0.520163i \(0.825871\pi\)
\(284\) 0.698745 0.0919916i 0.0414629 0.00545870i
\(285\) 4.47781 + 3.62606i 0.265243 + 0.214789i
\(286\) −17.6148 −1.04159
\(287\) 14.6686 8.47534i 0.865862 0.500283i
\(288\) 17.4286 1.02699
\(289\) 35.0906 + 28.4158i 2.06415 + 1.67152i
\(290\) 0.387185 0.0509739i 0.0227363 0.00299329i
\(291\) −5.76027 27.0999i −0.337673 1.58863i
\(292\) 10.6283 + 0.557007i 0.621976 + 0.0325964i
\(293\) −1.24067 0.760286i −0.0724809 0.0444164i 0.485786 0.874078i \(-0.338533\pi\)
−0.558267 + 0.829661i \(0.688533\pi\)
\(294\) −15.3119 + 6.73642i −0.893007 + 0.392876i
\(295\) −1.40459 + 2.75666i −0.0817783 + 0.160499i
\(296\) 14.2928 3.82974i 0.830751 0.222599i
\(297\) 2.21919 + 1.99817i 0.128771 + 0.115946i
\(298\) 4.26315 + 8.93788i 0.246958 + 0.517758i
\(299\) −2.64776 7.47705i −0.153124 0.432409i
\(300\) 3.13742 + 13.0683i 0.181139 + 0.754498i
\(301\) 0.328905 + 0.976000i 0.0189578 + 0.0562557i
\(302\) −14.1580 + 1.11426i −0.814701 + 0.0641184i
\(303\) 8.46441 3.76860i 0.486268 0.216500i
\(304\) 4.44303 + 1.57336i 0.254825 + 0.0902383i
\(305\) −0.786274 0.350072i −0.0450219 0.0200451i
\(306\) 17.9248 + 17.0100i 1.02469 + 0.972398i
\(307\) 4.28350 + 27.0449i 0.244472 + 1.54354i 0.738598 + 0.674146i \(0.235488\pi\)
−0.494126 + 0.869390i \(0.664512\pi\)
\(308\) 5.00104 10.7854i 0.284961 0.614554i
\(309\) 5.97645 24.8937i 0.339988 1.41615i
\(310\) 0.434385 0.0456557i 0.0246714 0.00259307i
\(311\) 0.812453 2.29430i 0.0460700 0.130098i −0.917359 0.398060i \(-0.869684\pi\)
0.963429 + 0.267962i \(0.0863503\pi\)
\(312\) 33.0120 + 3.46971i 1.86894 + 0.196433i
\(313\) 0.363949 0.763036i 0.0205716 0.0431293i −0.892042 0.451953i \(-0.850728\pi\)
0.912613 + 0.408824i \(0.134061\pi\)
\(314\) −12.3470 + 5.11431i −0.696783 + 0.288617i
\(315\) 2.03771 1.68715i 0.114812 0.0950599i
\(316\) 10.4628 12.2504i 0.588578 0.689136i
\(317\) −1.54548 1.06218i −0.0868030 0.0596581i 0.522219 0.852812i \(-0.325104\pi\)
−0.609022 + 0.793154i \(0.708438\pi\)
\(318\) 14.7051 16.3316i 0.824619 0.915833i
\(319\) −5.35871 1.43586i −0.300030 0.0803928i
\(320\) −1.04239 1.60514i −0.0582714 0.0897301i
\(321\) −7.74525 12.6391i −0.432298 0.705446i
\(322\) −4.43196 0.417111i −0.246983 0.0232447i
\(323\) −27.0515 53.0915i −1.50518 2.95409i
\(324\) 5.88060 + 6.53107i 0.326700 + 0.362837i
\(325\) 2.87764 + 21.8578i 0.159623 + 1.21246i
\(326\) 5.30128 + 13.8103i 0.293611 + 0.764883i
\(327\) −16.3339 + 28.2911i −0.903265 + 1.56450i
\(328\) −7.85491 + 17.1529i −0.433715 + 0.947108i
\(329\) 4.21627 6.28003i 0.232450 0.346229i
\(330\) 0.467619 2.95243i 0.0257416 0.162526i
\(331\) −1.79624 + 1.37830i −0.0987304 + 0.0757585i −0.656947 0.753937i \(-0.728152\pi\)
0.558217 + 0.829695i \(0.311486\pi\)
\(332\) 17.4246 3.70372i 0.956301 0.203268i
\(333\) −13.8546 8.99727i −0.759226 0.493047i
\(334\) −9.78863 + 5.31479i −0.535610 + 0.290813i
\(335\) 0.363499 0.222752i 0.0198601 0.0121703i
\(336\) 2.12349 3.55140i 0.115846 0.193745i
\(337\) 0.808541 + 0.808541i 0.0440440 + 0.0440440i 0.728786 0.684742i \(-0.240085\pi\)
−0.684742 + 0.728786i \(0.740085\pi\)
\(338\) 6.69313 + 1.42267i 0.364059 + 0.0773830i
\(339\) −0.849041 + 0.404972i −0.0461136 + 0.0219951i
\(340\) −0.476899 + 2.57312i −0.0258635 + 0.139547i
\(341\) −5.94927 1.76225i −0.322171 0.0954313i
\(342\) −9.06594 21.8871i −0.490230 1.18352i
\(343\) 2.29862 18.3771i 0.124114 0.992268i
\(344\) −0.927898 0.674158i −0.0500289 0.0363481i
\(345\) 1.32352 0.245300i 0.0712560 0.0132065i
\(346\) 3.26170 7.32589i 0.175350 0.393842i
\(347\) −0.858278 2.89750i −0.0460748 0.155546i 0.932623 0.360852i \(-0.117514\pi\)
−0.978698 + 0.205307i \(0.934181\pi\)
\(348\) 3.44687 + 1.32313i 0.184772 + 0.0709272i
\(349\) 19.3951 3.07188i 1.03820 0.164434i 0.386012 0.922494i \(-0.373852\pi\)
0.652185 + 0.758060i \(0.273852\pi\)
\(350\) 11.8081 + 3.69511i 0.631168 + 0.197512i
\(351\) −1.91624 2.63747i −0.102281 0.140778i
\(352\) 3.97322 + 21.4376i 0.211774 + 1.14263i
\(353\) 1.60157 15.2379i 0.0852431 0.811034i −0.865470 0.500961i \(-0.832980\pi\)
0.950713 0.310073i \(-0.100353\pi\)
\(354\) 20.0447 13.7764i 1.06536 0.732205i
\(355\) −0.0256083 + 0.194514i −0.00135915 + 0.0103237i
\(356\) −14.4658 + 3.47292i −0.766684 + 0.184065i
\(357\) −50.3772 + 14.0878i −2.66625 + 0.745607i
\(358\) −0.493727 + 6.27340i −0.0260943 + 0.331560i
\(359\) −4.64446 + 21.8505i −0.245125 + 1.15322i 0.667559 + 0.744557i \(0.267339\pi\)
−0.912684 + 0.408666i \(0.865994\pi\)
\(360\) −0.762502 + 2.84570i −0.0401874 + 0.149981i
\(361\) 1.99530 + 38.0726i 0.105016 + 2.00382i
\(362\) −16.4577 + 0.430960i −0.864997 + 0.0226507i
\(363\) −7.77373 + 12.6856i −0.408015 + 0.665820i
\(364\) −7.78847 + 10.3821i −0.408227 + 0.544171i
\(365\) −0.915536 + 2.81773i −0.0479214 + 0.147487i
\(366\) 4.11903 + 5.36803i 0.215305 + 0.280591i
\(367\) −12.2501 + 4.70238i −0.639450 + 0.245462i −0.656422 0.754394i \(-0.727931\pi\)
0.0169715 + 0.999856i \(0.494598\pi\)
\(368\) 0.953596 0.550559i 0.0497096 0.0286999i
\(369\) 20.0990 6.29681i 1.04631 0.327799i
\(370\) 1.45473i 0.0756280i
\(371\) 7.16372 + 23.2521i 0.371922 + 1.20719i
\(372\) 3.81504 + 1.58024i 0.197801 + 0.0819317i
\(373\) −5.80077 + 5.22304i −0.300353 + 0.270439i −0.805502 0.592593i \(-0.798104\pi\)
0.505149 + 0.863032i \(0.331437\pi\)
\(374\) −16.8364 + 25.9258i −0.870590 + 1.34059i
\(375\) −7.55040 0.197714i −0.389901 0.0102099i
\(376\) 0.220502 + 8.42062i 0.0113715 + 0.434260i
\(377\) 5.39642 + 2.74961i 0.277930 + 0.141612i
\(378\) −1.79523 + 0.352975i −0.0923369 + 0.0181551i
\(379\) −3.51351 10.8135i −0.180477 0.555451i 0.819364 0.573273i \(-0.194327\pi\)
−0.999841 + 0.0178221i \(0.994327\pi\)
\(380\) 1.42103 2.06761i 0.0728971 0.106066i
\(381\) −1.37013 0.253938i −0.0701937 0.0130096i
\(382\) −4.46575 4.70592i −0.228488 0.240776i
\(383\) 0.713846 + 0.0939796i 0.0364758 + 0.00480213i 0.148742 0.988876i \(-0.452478\pi\)
−0.112266 + 0.993678i \(0.535811\pi\)
\(384\) −0.904588 11.4939i −0.0461620 0.586544i
\(385\) 2.53977 + 2.12181i 0.129439 + 0.108138i
\(386\) 1.48965 + 1.74416i 0.0758214 + 0.0887754i
\(387\) 0.133846 + 1.27346i 0.00680378 + 0.0647337i
\(388\) −11.5668 + 3.42623i −0.587214 + 0.173941i
\(389\) −21.1736 26.1472i −1.07354 1.32572i −0.942450 0.334347i \(-0.891484\pi\)
−0.131094 0.991370i \(-0.541849\pi\)
\(390\) −1.16949 + 3.04663i −0.0592196 + 0.154272i
\(391\) −13.5356 3.24961i −0.684524 0.164340i
\(392\) 9.76099 + 18.1684i 0.493005 + 0.917643i
\(393\) 15.9645 13.6350i 0.805304 0.687795i
\(394\) −5.09025 11.4329i −0.256443 0.575981i
\(395\) 2.54017 + 3.69598i 0.127810 + 0.185965i
\(396\) 8.99779 11.7261i 0.452156 0.589261i
\(397\) −8.63191 + 29.1408i −0.433223 + 1.46254i 0.403536 + 0.914964i \(0.367781\pi\)
−0.836758 + 0.547572i \(0.815552\pi\)
\(398\) 6.24435 + 5.33318i 0.313001 + 0.267328i
\(399\) 49.6143 + 7.30564i 2.48382 + 0.365739i
\(400\) −2.91068 + 0.945738i −0.145534 + 0.0472869i
\(401\) −2.86231 10.6823i −0.142937 0.533449i −0.999839 0.0179683i \(-0.994280\pi\)
0.856901 0.515480i \(-0.172386\pi\)
\(402\) −3.34692 + 0.175405i −0.166929 + 0.00874840i
\(403\) 5.95297 + 3.23220i 0.296539 + 0.161007i
\(404\) −1.92504 3.54549i −0.0957745 0.176395i
\(405\) −2.17984 + 1.11068i −0.108317 + 0.0551902i
\(406\) 2.67394 2.09840i 0.132705 0.104142i
\(407\) 7.90841 19.0926i 0.392006 0.946385i
\(408\) 36.6599 45.2712i 1.81494 2.24126i
\(409\) 5.52428 + 9.56834i 0.273158 + 0.473124i 0.969669 0.244423i \(-0.0785984\pi\)
−0.696511 + 0.717547i \(0.745265\pi\)
\(410\) −1.42902 1.18238i −0.0705741 0.0583938i
\(411\) −39.2829 22.6800i −1.93768 1.11872i
\(412\) −11.0100 1.74382i −0.542426 0.0859118i
\(413\) 1.70183 + 26.8742i 0.0837418 + 1.32239i
\(414\) −5.26358 1.71024i −0.258691 0.0840537i
\(415\) −0.259533 + 4.95218i −0.0127400 + 0.243093i
\(416\) 0.623072 23.7942i 0.0305486 1.16660i
\(417\) 1.72578 3.17848i 0.0845116 0.155651i
\(418\) 24.8549 16.1410i 1.21569 0.789481i
\(419\) 9.77028 9.77028i 0.477309 0.477309i −0.426961 0.904270i \(-0.640416\pi\)
0.904270 + 0.426961i \(0.140416\pi\)
\(420\) −1.53339 1.58104i −0.0748218 0.0771469i
\(421\) −18.6502 1.46780i −0.908954 0.0715362i −0.384645 0.923065i \(-0.625676\pi\)
−0.524309 + 0.851528i \(0.675676\pi\)
\(422\) 15.7254 5.56866i 0.765501 0.271078i
\(423\) 6.82156 6.47342i 0.331676 0.314748i
\(424\) −21.4959 16.4944i −1.04393 0.801039i
\(425\) 34.9212 + 16.6565i 1.69393 + 0.807961i
\(426\) 0.906579 1.24780i 0.0439239 0.0604561i
\(427\) −7.44110 + 0.864055i −0.360100 + 0.0418145i
\(428\) −5.22179 + 3.79385i −0.252405 + 0.183383i
\(429\) 31.9115 33.6277i 1.54070 1.62356i
\(430\) 0.0876306 0.0709619i 0.00422592 0.00342209i
\(431\) −11.6541 + 9.43731i −0.561358 + 0.454579i −0.867521 0.497400i \(-0.834288\pi\)
0.306163 + 0.951979i \(0.400955\pi\)
\(432\) 0.311525 0.328279i 0.0149882 0.0157943i
\(433\) 0.957843 0.695913i 0.0460310 0.0334435i −0.564532 0.825411i \(-0.690943\pi\)
0.610563 + 0.791968i \(0.290943\pi\)
\(434\) 3.05103 2.26784i 0.146454 0.108860i
\(435\) −0.604122 + 0.831502i −0.0289654 + 0.0398675i
\(436\) 12.8386 + 6.12371i 0.614858 + 0.293272i
\(437\) 10.5875 + 8.12407i 0.506468 + 0.388627i
\(438\) 16.8951 16.0328i 0.807277 0.766077i
\(439\) 17.4587 6.18245i 0.833259 0.295072i 0.117196 0.993109i \(-0.462609\pi\)
0.716062 + 0.698036i \(0.245943\pi\)
\(440\) −3.67411 0.289158i −0.175156 0.0137851i
\(441\) 7.78189 21.6707i 0.370566 1.03194i
\(442\) 23.8635 23.8635i 1.13507 1.13507i
\(443\) −1.78812 + 1.16122i −0.0849561 + 0.0551711i −0.586418 0.810009i \(-0.699462\pi\)
0.501462 + 0.865180i \(0.332796\pi\)
\(444\) −6.56251 + 12.0866i −0.311443 + 0.573607i
\(445\) 0.108408 4.13994i 0.00513903 0.196252i
\(446\) −0.402761 + 7.68513i −0.0190713 + 0.363902i
\(447\) −24.7861 8.05350i −1.17234 0.380918i
\(448\) −14.9238 7.40063i −0.705084 0.349647i
\(449\) 2.71136 + 0.429437i 0.127957 + 0.0202664i 0.220084 0.975481i \(-0.429367\pi\)
−0.0921274 + 0.995747i \(0.529367\pi\)
\(450\) 13.3217 + 7.69130i 0.627992 + 0.362571i
\(451\) 12.3272 + 23.2868i 0.580467 + 1.09653i
\(452\) 0.204796 + 0.354717i 0.00963279 + 0.0166845i
\(453\) 23.5218 29.0470i 1.10515 1.36475i
\(454\) −1.90478 + 4.59856i −0.0893959 + 0.215821i
\(455\) −2.23051 2.84227i −0.104568 0.133248i
\(456\) −49.7601 + 25.3540i −2.33023 + 1.18731i
\(457\) −2.35988 4.34635i −0.110390 0.203314i 0.817723 0.575613i \(-0.195236\pi\)
−0.928113 + 0.372299i \(0.878570\pi\)
\(458\) −17.0421 9.25312i −0.796326 0.432370i
\(459\) −5.71343 + 0.299428i −0.266680 + 0.0139761i
\(460\) −0.151695 0.566134i −0.00707283 0.0263962i
\(461\) −2.24065 + 0.728031i −0.104357 + 0.0339078i −0.360730 0.932670i \(-0.617473\pi\)
0.256373 + 0.966578i \(0.417473\pi\)
\(462\) −9.58750 24.1863i −0.446051 1.12525i
\(463\) 25.8155 + 22.0486i 1.19975 + 1.02468i 0.998985 + 0.0450442i \(0.0143429\pi\)
0.200765 + 0.979639i \(0.435657\pi\)
\(464\) −0.238790 + 0.806143i −0.0110856 + 0.0374242i
\(465\) −0.699783 + 0.911975i −0.0324517 + 0.0422918i
\(466\) 5.78573 + 8.41830i 0.268019 + 0.389970i
\(467\) −1.85671 4.17023i −0.0859182 0.192975i 0.865477 0.500949i \(-0.167016\pi\)
−0.951395 + 0.307974i \(0.900349\pi\)
\(468\) −12.2700 + 10.4795i −0.567179 + 0.484417i
\(469\) 1.73494 3.27997i 0.0801119 0.151455i
\(470\) −0.805258 0.193325i −0.0371438 0.00891743i
\(471\) 12.6047 32.8363i 0.580793 1.51302i
\(472\) −18.8717 23.3046i −0.868641 1.07268i
\(473\) −1.53588 + 0.454947i −0.0706197 + 0.0209185i
\(474\) −3.68531 35.0634i −0.169272 1.61052i
\(475\) −24.0894 28.2050i −1.10530 1.29414i
\(476\) 7.83628 + 21.3865i 0.359175 + 0.980248i
\(477\) 2.37335 + 30.1562i 0.108668 + 1.38076i
\(478\) 14.6881 + 1.93373i 0.671820 + 0.0884467i
\(479\) 6.95027 + 7.32405i 0.317566 + 0.334644i 0.864595 0.502469i \(-0.167575\pi\)
−0.547030 + 0.837113i \(0.684241\pi\)
\(480\) 3.97160 + 0.736093i 0.181278 + 0.0335979i
\(481\) −12.7787 + 18.5931i −0.582659 + 0.847774i
\(482\) 5.97148 + 18.3783i 0.271993 + 0.837110i
\(483\) 8.82533 7.70520i 0.401567 0.350599i
\(484\) 5.77213 + 2.94105i 0.262369 + 0.133684i
\(485\) −0.0879076 3.35706i −0.00399168 0.152436i
\(486\) 21.3003 + 0.557768i 0.966201 + 0.0253009i
\(487\) −6.18206 + 9.51954i −0.280136 + 0.431372i −0.950530 0.310634i \(-0.899459\pi\)
0.670394 + 0.742006i \(0.266125\pi\)
\(488\) 6.19947 5.58203i 0.280637 0.252686i
\(489\) −35.9686 14.8987i −1.62656 0.673741i
\(490\) −1.97370 + 0.464633i −0.0891625 + 0.0209900i
\(491\) 20.5013i 0.925211i 0.886564 + 0.462606i \(0.153085\pi\)
−0.886564 + 0.462606i \(0.846915\pi\)
\(492\) −6.53906 16.2703i −0.294804 0.733523i
\(493\) 9.20487 5.31443i 0.414566 0.239350i
\(494\) −30.2052 + 11.5947i −1.35900 + 0.521670i
\(495\) 2.50477 + 3.26428i 0.112581 + 0.146719i
\(496\) −0.290581 + 0.894317i −0.0130475 + 0.0401560i
\(497\) 0.670596 + 1.57041i 0.0300804 + 0.0704424i
\(498\) 20.3695 33.2401i 0.912781 1.48952i
\(499\) −18.3406 + 0.480264i −0.821036 + 0.0214996i −0.434386 0.900727i \(-0.643035\pi\)
−0.386650 + 0.922227i \(0.626368\pi\)
\(500\) 0.172120 + 3.28424i 0.00769742 + 0.146876i
\(501\) 7.58710 28.3154i 0.338966 1.26504i
\(502\) −0.742947 + 3.49529i −0.0331593 + 0.156002i
\(503\) 1.10287 14.0133i 0.0491745 0.624821i −0.922114 0.386918i \(-0.873540\pi\)
0.971289 0.237903i \(-0.0764602\pi\)
\(504\) 6.90567 + 24.6943i 0.307603 + 1.09997i
\(505\) 1.09205 0.262178i 0.0485955 0.0116667i
\(506\) 0.903692 6.86422i 0.0401740 0.305152i
\(507\) −14.8414 + 10.2002i −0.659130 + 0.453007i
\(508\) −0.0634221 + 0.603421i −0.00281390 + 0.0267725i
\(509\) −0.853275 4.60386i −0.0378207 0.204062i 0.959036 0.283283i \(-0.0914235\pi\)
−0.996857 + 0.0792205i \(0.974757\pi\)
\(510\) 3.36627 + 4.63327i 0.149061 + 0.205165i
\(511\) 5.63549 + 25.1633i 0.249300 + 1.11316i
\(512\) 6.89310 1.09176i 0.304635 0.0482494i
\(513\) 5.12065 + 1.96563i 0.226082 + 0.0867848i
\(514\) 0.492471 + 1.66255i 0.0217220 + 0.0733322i
\(515\) 1.26216 2.83486i 0.0556175 0.124919i
\(516\) 1.04820 0.194272i 0.0461443 0.00855234i
\(517\) 9.51759 + 6.91494i 0.418583 + 0.304119i
\(518\) 6.44970 + 10.8957i 0.283383 + 0.478727i
\(519\) 8.07655 + 19.4985i 0.354521 + 0.855890i
\(520\) 3.85779 + 1.14273i 0.169175 + 0.0501120i
\(521\) −1.01822 + 5.49383i −0.0446091 + 0.240689i −0.998167 0.0605208i \(-0.980724\pi\)
0.953558 + 0.301210i \(0.0973905\pi\)
\(522\) 3.81421 1.81928i 0.166943 0.0796278i
\(523\) 25.6759 + 5.45758i 1.12273 + 0.238643i 0.731628 0.681704i \(-0.238761\pi\)
0.391101 + 0.920348i \(0.372094\pi\)
\(524\) −6.46408 6.46408i −0.282385 0.282385i
\(525\) −28.4460 + 15.8481i −1.24148 + 0.691667i
\(526\) −12.6159 + 7.73102i −0.550079 + 0.337089i
\(527\) 10.4471 5.67231i 0.455083 0.247090i
\(528\) 5.39729 + 3.50504i 0.234887 + 0.152537i
\(529\) −19.4479 + 4.13377i −0.845560 + 0.179729i
\(530\) 2.11333 1.62161i 0.0917970 0.0704383i
\(531\) −5.23721 + 33.0665i −0.227276 + 1.43496i
\(532\) 1.47627 21.7862i 0.0640042 0.944551i
\(533\) −7.87811 27.6650i −0.341239 1.19830i
\(534\) −16.2786 + 28.1953i −0.704443 + 1.22013i
\(535\) −0.643907 1.67744i −0.0278385 0.0725219i
\(536\) 0.539352 + 4.09678i 0.0232964 + 0.176954i
\(537\) −11.0818 12.3076i −0.478216 0.531112i
\(538\) 1.54747 + 3.03709i 0.0667163 + 0.130938i
\(539\) 28.4296 + 4.63161i 1.22455 + 0.199497i
\(540\) −0.125866 0.205394i −0.00541640 0.00883876i
\(541\) 12.9275 + 19.9065i 0.555794 + 0.855848i 0.999180 0.0404824i \(-0.0128895\pi\)
−0.443386 + 0.896331i \(0.646223\pi\)
\(542\) −21.0515 5.64074i −0.904241 0.242291i
\(543\) 28.9924 32.1993i 1.24418 1.38181i
\(544\) −34.4250 23.6597i −1.47596 1.01440i
\(545\) −2.57162 + 3.01098i −0.110156 + 0.128976i
\(546\) 4.74827 + 28.0037i 0.203207 + 1.19845i
\(547\) 33.8312 14.0134i 1.44652 0.599168i 0.485151 0.874431i \(-0.338765\pi\)
0.961369 + 0.275262i \(0.0887648\pi\)
\(548\) −8.50293 + 17.8268i −0.363227 + 0.761522i
\(549\) −9.26241 0.973518i −0.395310 0.0415488i
\(550\) −6.42351 + 18.1394i −0.273900 + 0.773469i
\(551\) −10.1340 + 1.06513i −0.431724 + 0.0453760i
\(552\) −3.04570 + 12.6863i −0.129634 + 0.539963i
\(553\) 35.4118 + 16.4200i 1.50586 + 0.698249i
\(554\) 2.79449 + 17.6437i 0.118727 + 0.749610i
\(555\) −2.77717 2.63543i −0.117884 0.111868i
\(556\) −1.43867 0.640539i −0.0610134 0.0271649i
\(557\) 18.4603 + 6.53712i 0.782186 + 0.276987i 0.694814 0.719189i \(-0.255486\pi\)
0.0873719 + 0.996176i \(0.472153\pi\)
\(558\) 4.31774 1.92238i 0.182784 0.0813809i
\(559\) 1.74336 0.137206i 0.0737363 0.00580318i
\(560\) 0.331528 0.376356i 0.0140096 0.0159039i
\(561\) −18.9925 79.1094i −0.801863 3.34000i
\(562\) 3.90651 + 11.0316i 0.164786 + 0.465342i
\(563\) 8.75442 + 18.3540i 0.368955 + 0.773530i 0.999998 0.00221820i \(-0.000706075\pi\)
−0.631043 + 0.775748i \(0.717373\pi\)
\(564\) −5.81836 5.23887i −0.244997 0.220596i
\(565\) −0.110136 + 0.0295107i −0.00463344 + 0.00124153i
\(566\) 4.82105 9.46185i 0.202644 0.397711i
\(567\) −11.4022 + 17.9833i −0.478848 + 0.755227i
\(568\) −1.62138 0.993585i −0.0680318 0.0416899i
\(569\) −6.93192 0.363287i −0.290601 0.0152298i −0.0935217 0.995617i \(-0.529812\pi\)
−0.197080 + 0.980387i \(0.563146\pi\)
\(570\) −1.14154 5.37051i −0.0478137 0.224946i
\(571\) −5.89008 + 0.775444i −0.246492 + 0.0324513i −0.252760 0.967529i \(-0.581338\pi\)
0.00626769 + 0.999980i \(0.498005\pi\)
\(572\) −15.6873 12.7033i −0.655919 0.531153i
\(573\) 17.0741 0.713281
\(574\) −15.9452 2.52013i −0.665541 0.105188i
\(575\) −8.66528 −0.361367
\(576\) −16.0950 13.0334i −0.670623 0.543060i
\(577\) 34.5737 4.55172i 1.43932 0.189490i 0.629882 0.776691i \(-0.283103\pi\)
0.809441 + 0.587201i \(0.199770\pi\)
\(578\) −8.94572 42.0863i −0.372093 1.75056i
\(579\) −6.02839 0.315934i −0.250531 0.0131298i
\(580\) 0.381577 + 0.233831i 0.0158441 + 0.00970930i
\(581\) 20.0121 + 38.2414i 0.830242 + 1.58652i
\(582\) −11.9856 + 23.5230i −0.496818 + 0.975060i
\(583\) −36.5519 + 9.79405i −1.51382 + 0.405628i
\(584\) −21.3405 19.2150i −0.883075 0.795124i
\(585\) −1.93381 4.05432i −0.0799533 0.167626i
\(586\) 0.462844 + 1.30703i 0.0191199 + 0.0539930i
\(587\) −5.03022 20.9524i −0.207619 0.864796i −0.974749 0.223304i \(-0.928316\pi\)
0.767130 0.641492i \(-0.221684\pi\)
\(588\) −18.4945 5.04323i −0.762699 0.207979i
\(589\) −11.3615 + 0.894172i −0.468144 + 0.0368437i
\(590\) 2.69327 1.19912i 0.110880 0.0493670i
\(591\) 31.0476 + 10.9945i 1.27713 + 0.452255i
\(592\) −2.86114 1.27386i −0.117592 0.0523553i
\(593\) −4.86231 4.61416i −0.199671 0.189481i 0.581968 0.813212i \(-0.302283\pi\)
−0.781639 + 0.623731i \(0.785616\pi\)
\(594\) −0.445145 2.81054i −0.0182645 0.115318i
\(595\) −6.31523 + 0.566228i −0.258899 + 0.0232131i
\(596\) −2.64910 + 11.0343i −0.108511 + 0.451983i
\(597\) −21.4937 + 2.25908i −0.879680 + 0.0924581i
\(598\) −2.52306 + 7.12489i −0.103175 + 0.291358i
\(599\) 30.1276 + 3.16654i 1.23098 + 0.129381i 0.697596 0.716491i \(-0.254253\pi\)
0.533385 + 0.845872i \(0.320920\pi\)
\(600\) 15.6114 32.7299i 0.637332 1.33619i
\(601\) 2.11830 0.877428i 0.0864072 0.0357911i −0.339061 0.940764i \(-0.610109\pi\)
0.425468 + 0.904973i \(0.360109\pi\)
\(602\) 0.341719 0.920008i 0.0139274 0.0374967i
\(603\) 2.99604 3.50791i 0.122008 0.142853i
\(604\) −13.4123 9.21802i −0.545739 0.375076i
\(605\) −1.20670 + 1.34017i −0.0490592 + 0.0544858i
\(606\) −8.52822 2.28513i −0.346435 0.0928270i
\(607\) −2.01374 3.10089i −0.0817352 0.125861i 0.795439 0.606034i \(-0.207241\pi\)
−0.877174 + 0.480173i \(0.840574\pi\)
\(608\) 20.9241 + 34.1450i 0.848584 + 1.38476i
\(609\) −0.838203 + 8.90621i −0.0339657 + 0.360898i
\(610\) 0.372339 + 0.730756i 0.0150756 + 0.0295874i
\(611\) −8.59388 9.54447i −0.347671 0.386128i
\(612\) 3.69621 + 28.0755i 0.149411 + 1.13489i
\(613\) 11.1194 + 28.9672i 0.449110 + 1.16997i 0.952129 + 0.305697i \(0.0988894\pi\)
−0.503019 + 0.864276i \(0.667777\pi\)
\(614\) 13.0462 22.5967i 0.526502 0.911927i
\(615\) 4.84608 0.586033i 0.195413 0.0236311i
\(616\) −28.8003 + 14.1238i −1.16040 + 0.569062i
\(617\) −1.28358 + 8.10418i −0.0516748 + 0.326262i 0.948286 + 0.317417i \(0.102815\pi\)
−0.999961 + 0.00884499i \(0.997185\pi\)
\(618\) −19.3541 + 14.8509i −0.778535 + 0.597391i
\(619\) 44.9869 9.56227i 1.80818 0.384340i 0.824729 0.565528i \(-0.191328\pi\)
0.983448 + 0.181188i \(0.0579944\pi\)
\(620\) 0.419777 + 0.272606i 0.0168586 + 0.0109481i
\(621\) 1.12609 0.611417i 0.0451884 0.0245353i
\(622\) −1.97750 + 1.21181i −0.0792905 + 0.0485893i
\(623\) −17.5428 31.4879i −0.702839 1.26154i
\(624\) −4.96796 4.96796i −0.198878 0.198878i
\(625\) 23.1063 + 4.91139i 0.924250 + 0.196455i
\(626\) −0.727097 + 0.346808i −0.0290607 + 0.0138612i
\(627\) −14.2138 + 76.6908i −0.567644 + 3.06274i
\(628\) −14.6842 4.34967i −0.585964 0.173571i
\(629\) 15.1517 + 36.5793i 0.604136 + 1.45851i
\(630\) −2.52076 + 0.0274313i −0.100429 + 0.00109289i
\(631\) −24.8362 18.0445i −0.988712 0.718342i −0.0290736 0.999577i \(-0.509256\pi\)
−0.959639 + 0.281236i \(0.909256\pi\)
\(632\) −42.7404 + 7.92147i −1.70012 + 0.315099i
\(633\) −17.8577 + 40.1090i −0.709779 + 1.59419i
\(634\) 0.507528 + 1.71339i 0.0201565 + 0.0680473i
\(635\) −0.157685 0.0605296i −0.00625753 0.00240204i
\(636\) 24.8739 3.93963i 0.986313 0.156217i
\(637\) −29.3075 11.3989i −1.16121 0.451639i
\(638\) 3.10729 + 4.27682i 0.123019 + 0.169321i
\(639\) 0.386885 + 2.08744i 0.0153049 + 0.0825780i
\(640\) 0.146078 1.38984i 0.00577425 0.0549383i
\(641\) −12.3424 + 8.48270i −0.487496 + 0.335047i −0.784813 0.619732i \(-0.787241\pi\)
0.297318 + 0.954779i \(0.403908\pi\)
\(642\) −1.84372 + 14.0045i −0.0727660 + 0.552712i
\(643\) 25.8479 6.20552i 1.01934 0.244722i 0.310862 0.950455i \(-0.399382\pi\)
0.708478 + 0.705733i \(0.249382\pi\)
\(644\) −3.64617 3.56767i −0.143679 0.140586i
\(645\) −0.0232837 + 0.295848i −0.000916796 + 0.0116490i
\(646\) −11.8051 + 55.5388i −0.464467 + 2.18514i
\(647\) −5.41030 + 20.1915i −0.212701 + 0.793810i 0.774263 + 0.632864i \(0.218121\pi\)
−0.986963 + 0.160945i \(0.948546\pi\)
\(648\) −1.24102 23.6802i −0.0487521 0.930245i
\(649\) −41.8665 + 1.09631i −1.64341 + 0.0430341i
\(650\) 10.9767 17.9123i 0.430541 0.702580i
\(651\) −1.19790 + 9.93305i −0.0469495 + 0.389307i
\(652\) −5.23843 + 16.1222i −0.205153 + 0.631395i
\(653\) 8.70569 + 11.3455i 0.340680 + 0.443983i 0.932002 0.362453i \(-0.118061\pi\)
−0.591322 + 0.806435i \(0.701394\pi\)
\(654\) 29.0615 11.1557i 1.13640 0.436222i
\(655\) 2.20386 1.27240i 0.0861121 0.0497169i
\(656\) 3.57683 1.77518i 0.139652 0.0693093i
\(657\) 32.0597i 1.25077i
\(658\) −6.88834 + 2.12222i −0.268535 + 0.0827327i
\(659\) −15.9424 6.60354i −0.621026 0.257238i 0.0499086 0.998754i \(-0.484107\pi\)
−0.670935 + 0.741516i \(0.734107\pi\)
\(660\) 2.54566 2.29212i 0.0990896 0.0892207i
\(661\) 2.09212 3.22158i 0.0813739 0.125305i −0.795640 0.605770i \(-0.792865\pi\)
0.877014 + 0.480465i \(0.159532\pi\)
\(662\) 2.15674 + 0.0564761i 0.0838239 + 0.00219501i
\(663\) 2.32501 + 88.7885i 0.0902958 + 3.44826i
\(664\) −42.8262 21.8211i −1.66198 0.846821i
\(665\) 5.75175 + 1.96663i 0.223043 + 0.0762627i
\(666\) 4.86443 + 14.9712i 0.188493 + 0.580121i
\(667\) −1.34833 + 1.96184i −0.0522076 + 0.0759626i
\(668\) −12.5504 2.32607i −0.485588 0.0899985i
\(669\) −13.9417 14.6915i −0.539016 0.568005i
\(670\) −0.402767 0.0530252i −0.0155602 0.00204854i
\(671\) −0.914115 11.6149i −0.0352890 0.448390i
\(672\) 33.0100 12.0953i 1.27339 0.466586i
\(673\) 8.57605 + 10.0413i 0.330582 + 0.387062i 0.900657 0.434531i \(-0.143086\pi\)
−0.570075 + 0.821593i \(0.693086\pi\)
\(674\) −0.113894 1.08363i −0.00438702 0.0417397i
\(675\) −3.41481 + 1.01151i −0.131436 + 0.0389331i
\(676\) 4.93474 + 6.09389i 0.189798 + 0.234380i
\(677\) 16.1016 41.9460i 0.618833 1.61212i −0.161586 0.986859i \(-0.551661\pi\)
0.780419 0.625257i \(-0.215006\pi\)
\(678\) 0.871605 + 0.209254i 0.0334738 + 0.00803635i
\(679\) −15.5422 24.7539i −0.596456 0.949968i
\(680\) 5.36919 4.58572i 0.205899 0.175854i
\(681\) −5.32814 11.9672i −0.204175 0.458584i
\(682\) 3.34890 + 4.87268i 0.128236 + 0.186585i
\(683\) 0.468812 0.610968i 0.0179386 0.0233780i −0.784298 0.620384i \(-0.786977\pi\)
0.802237 + 0.597006i \(0.203643\pi\)
\(684\) 7.71049 26.0302i 0.294818 0.995289i
\(685\) −4.18083 3.57077i −0.159741 0.136432i
\(686\) −12.7226 + 12.2306i −0.485750 + 0.466965i
\(687\) 48.5386 15.7712i 1.85186 0.601707i
\(688\) 0.0628311 + 0.234489i 0.00239541 + 0.00893980i
\(689\) 41.2553 2.16210i 1.57170 0.0823693i
\(690\) −1.12723 0.612034i −0.0429128 0.0232997i
\(691\) 12.2049 + 22.4786i 0.464295 + 0.855126i 0.999943 + 0.0106841i \(0.00340091\pi\)
−0.535648 + 0.844442i \(0.679932\pi\)
\(692\) 8.18801 4.17200i 0.311261 0.158596i
\(693\) 33.2327 + 13.3437i 1.26241 + 0.506883i
\(694\) −1.10198 + 2.66042i −0.0418306 + 0.100988i
\(695\) 0.275890 0.340696i 0.0104651 0.0129233i
\(696\) −4.98096 8.62728i −0.188803 0.327016i
\(697\) −48.2477 14.8473i −1.82751 0.562381i
\(698\) −16.2051 9.35600i −0.613371 0.354130i
\(699\) −26.5526 4.20551i −1.00431 0.159067i
\(700\) 7.85114 + 11.8064i 0.296745 + 0.446241i
\(701\) −38.4977 12.5087i −1.45404 0.472446i −0.527795 0.849372i \(-0.676981\pi\)
−0.926243 + 0.376926i \(0.876981\pi\)
\(702\) −0.162584 + 3.10229i −0.00613635 + 0.117088i
\(703\) 0.993620 37.9448i 0.0374751 1.43112i
\(704\) 12.3623 22.7685i 0.465921 0.858119i
\(705\) 1.82789 1.18705i 0.0688424 0.0447068i
\(706\) −10.3239 + 10.3239i −0.388546 + 0.388546i
\(707\) 7.01682 6.80535i 0.263895 0.255942i
\(708\) 27.7864 + 2.18684i 1.04428 + 0.0821864i
\(709\) 49.1889 17.4187i 1.84733 0.654173i 0.857020 0.515283i \(-0.172313\pi\)
0.990308 0.138890i \(-0.0443535\pi\)
\(710\) 0.135610 0.128689i 0.00508937 0.00482963i
\(711\) 38.5006 + 29.5426i 1.44389 + 1.10793i
\(712\) 36.2300 + 17.2808i 1.35778 + 0.647626i
\(713\) −1.56494 + 2.15396i −0.0586075 + 0.0806663i
\(714\) 45.7547 + 19.7776i 1.71233 + 0.740157i
\(715\) 4.54607 3.30291i 0.170013 0.123522i
\(716\) −4.96390 + 5.23086i −0.185510 + 0.195486i
\(717\) −30.3010 + 24.5372i −1.13161 + 0.916360i
\(718\) 16.5427 13.3960i 0.617368 0.499935i
\(719\) −24.0985 + 25.3945i −0.898723 + 0.947057i −0.998851 0.0479179i \(-0.984741\pi\)
0.100128 + 0.994975i \(0.468075\pi\)
\(720\) 0.504473 0.366521i 0.0188006 0.0136594i
\(721\) −3.11529 26.8284i −0.116020 0.999142i
\(722\) 21.3538 29.3909i 0.794704 1.09382i
\(723\) −45.9033 21.8947i −1.70716 0.814274i
\(724\) −14.9676 11.4850i −0.556265 0.426837i
\(725\) 4.79939 4.55445i 0.178245 0.169148i
\(726\) 13.3641 4.73246i 0.495987 0.175638i
\(727\) 4.88029 + 0.384087i 0.181000 + 0.0142450i 0.168635 0.985679i \(-0.446064\pi\)
0.0123648 + 0.999924i \(0.496064\pi\)
\(728\) 33.9604 8.54506i 1.25866 0.316701i
\(729\) −22.5802 + 22.5802i −0.836305 + 0.836305i
\(730\) 2.36773 1.53762i 0.0876336 0.0569099i
\(731\) 1.46438 2.69705i 0.0541620 0.0997539i
\(732\) −0.202971 + 7.75115i −0.00750202 + 0.286491i
\(733\) 2.64798 50.5265i 0.0978054 1.86624i −0.306836 0.951762i \(-0.599270\pi\)
0.404641 0.914476i \(-0.367396\pi\)
\(734\) 11.8917 + 3.86383i 0.438929 + 0.142617i
\(735\) 2.68859 4.60963i 0.0991701 0.170029i
\(736\) 9.24023 + 1.46351i 0.340600 + 0.0539457i
\(737\) 4.99783 + 2.88550i 0.184097 + 0.106289i
\(738\) −18.6602 7.38989i −0.686893 0.272026i
\(739\) −16.2392 28.1271i −0.597369 1.03467i −0.993208 0.116353i \(-0.962879\pi\)
0.395839 0.918320i \(-0.370454\pi\)
\(740\) −1.04911 + 1.29555i −0.0385662 + 0.0476253i
\(741\) 32.5856 78.6686i 1.19706 2.88996i
\(742\) 8.63880 21.5152i 0.317140 0.789846i
\(743\) 23.1874 11.8146i 0.850663 0.433434i 0.0264064 0.999651i \(-0.491594\pi\)
0.824256 + 0.566217i \(0.191594\pi\)
\(744\) −5.31638 9.79156i −0.194908 0.358976i
\(745\) −2.77616 1.50733i −0.101711 0.0552244i
\(746\) 7.42787 0.389278i 0.271954 0.0142525i
\(747\) 13.8885 + 51.8324i 0.508152 + 1.89645i
\(748\) −33.6910 + 10.9469i −1.23186 + 0.400257i
\(749\) −12.2598 9.70881i −0.447963 0.354752i
\(750\) 5.47283 + 4.67424i 0.199840 + 0.170679i
\(751\) −0.711582 + 2.40226i −0.0259660 + 0.0876598i −0.970800 0.239889i \(-0.922889\pi\)
0.944834 + 0.327548i \(0.106222\pi\)
\(752\) 1.08536 1.41447i 0.0395792 0.0515806i
\(753\) −5.32676 7.75048i −0.194118 0.282443i
\(754\) −2.34739 5.27233i −0.0854871 0.192007i
\(755\) 3.44499 2.94230i 0.125376 0.107081i
\(756\) −1.85334 0.980322i −0.0674054 0.0356540i
\(757\) 17.8381 + 4.28254i 0.648335 + 0.155652i 0.544258 0.838918i \(-0.316811\pi\)
0.104077 + 0.994569i \(0.466811\pi\)
\(758\) −3.88272 + 10.1148i −0.141027 + 0.367387i
\(759\) 11.4670 + 14.1606i 0.416226 + 0.513997i
\(760\) −6.49054 + 1.92259i −0.235437 + 0.0697395i
\(761\) 2.02488 + 19.2654i 0.0734017 + 0.698370i 0.967906 + 0.251311i \(0.0808618\pi\)
−0.894505 + 0.447059i \(0.852471\pi\)
\(762\) 0.862357 + 1.00969i 0.0312399 + 0.0365772i
\(763\) −5.91144 + 33.9531i −0.214008 + 1.22919i
\(764\) −0.583300 7.41153i −0.0211031 0.268140i
\(765\) −7.81557 1.02894i −0.282572 0.0372014i
\(766\) −0.472276 0.497675i −0.0170640 0.0179817i
\(767\) 44.9563 + 8.33217i 1.62328 + 0.300857i
\(768\) −24.1097 + 35.0798i −0.869984 + 1.26583i
\(769\) 10.2250 + 31.4692i 0.368722 + 1.13481i 0.947617 + 0.319408i \(0.103484\pi\)
−0.578896 + 0.815402i \(0.696516\pi\)
\(770\) −0.608403 3.09434i −0.0219253 0.111512i
\(771\) −4.06608 2.07177i −0.146436 0.0746130i
\(772\) 0.0688061 + 2.62760i 0.00247639 + 0.0945694i
\(773\) −17.3269 0.453720i −0.623205 0.0163192i −0.286730 0.958012i \(-0.592568\pi\)
−0.336475 + 0.941692i \(0.609235\pi\)
\(774\) 0.664550 1.02332i 0.0238868 0.0367824i
\(775\) 5.49930 4.95159i 0.197541 0.177866i
\(776\) 30.0719 + 12.4562i 1.07952 + 0.447150i
\(777\) −32.4848 7.42601i −1.16539 0.266407i
\(778\) 32.0605i 1.14943i
\(779\) 36.4664 + 31.8170i 1.30654 + 1.13996i
\(780\) −3.23867 + 1.86984i −0.115963 + 0.0669512i
\(781\) −2.47941 + 0.951757i −0.0887203 + 0.0340565i
\(782\) 8.07496 + 10.5235i 0.288760 + 0.376319i
\(783\) −0.302342 + 0.930512i −0.0108048 + 0.0332538i
\(784\) 0.814469 4.28868i 0.0290882 0.153167i
\(785\) 2.22757 3.63507i 0.0795054 0.129741i
\(786\) −19.9991 + 0.523694i −0.713343 + 0.0186795i
\(787\) 0.568826 + 10.8538i 0.0202764 + 0.386898i 0.989852 + 0.142104i \(0.0453868\pi\)
−0.969575 + 0.244793i \(0.921280\pi\)
\(788\) 3.71184 13.8528i 0.132229 0.493485i
\(789\) 8.09630 38.0901i 0.288236 1.35604i
\(790\) 0.335295 4.26032i 0.0119292 0.151575i
\(791\) −0.694054 + 0.709326i −0.0246777 + 0.0252207i
\(792\) −38.7784 + 9.30987i −1.37793 + 0.330812i
\(793\) −1.66021 + 12.6106i −0.0589560 + 0.447815i
\(794\) 23.8675 16.4037i 0.847025 0.582144i
\(795\) −0.732808 + 6.97220i −0.0259900 + 0.247279i
\(796\) 1.71491 + 9.25284i 0.0607834 + 0.327958i
\(797\) −19.4709 26.7993i −0.689693 0.949281i 0.310306 0.950637i \(-0.399569\pi\)
−0.999999 + 0.00135544i \(0.999569\pi\)
\(798\) −32.3605 35.1629i −1.14555 1.24475i
\(799\) −22.2618 + 3.52592i −0.787566 + 0.124738i
\(800\) −24.2756 9.31852i −0.858271 0.329459i
\(801\) −12.7277 42.9680i −0.449711 1.51820i
\(802\) −4.28629 + 9.62718i −0.151354 + 0.339947i
\(803\) −39.4342 + 7.30870i −1.39160 + 0.257918i
\(804\) −3.10718 2.25750i −0.109582 0.0796157i
\(805\) 1.22202 0.723376i 0.0430705 0.0254956i
\(806\) −2.47015 5.96346i −0.0870072 0.210054i
\(807\) −8.60141 2.54785i −0.302784 0.0896887i
\(808\) −1.98372 + 10.7032i −0.0697871 + 0.376537i
\(809\) 13.6231 6.49787i 0.478962 0.228453i −0.175600 0.984462i \(-0.556187\pi\)
0.654562 + 0.756009i \(0.272853\pi\)
\(810\) 2.28032 + 0.484696i 0.0801222 + 0.0170305i
\(811\) 8.46545 + 8.46545i 0.297262 + 0.297262i 0.839941 0.542678i \(-0.182590\pi\)
−0.542678 + 0.839941i \(0.682590\pi\)
\(812\) 3.89465 + 0.0595858i 0.136675 + 0.00209105i
\(813\) 48.9060 29.9696i 1.71521 1.05108i
\(814\) −17.3060 + 9.39638i −0.606574 + 0.329343i
\(815\) −3.95770 2.57016i −0.138632 0.0900288i
\(816\) −12.0603 + 2.56350i −0.422196 + 0.0897406i
\(817\) −2.33420 + 1.79109i −0.0816632 + 0.0626624i
\(818\) 1.64697 10.3986i 0.0575850 0.363577i
\(819\) −32.4591 21.7923i −1.13421 0.761484i
\(820\) −0.419941 2.08357i −0.0146650 0.0727613i
\(821\) 24.0809 41.7094i 0.840430 1.45567i −0.0491009 0.998794i \(-0.515636\pi\)
0.889531 0.456874i \(-0.151031\pi\)
\(822\) 15.4900 + 40.3527i 0.540274 + 1.40746i
\(823\) −1.42859 10.8512i −0.0497974 0.378249i −0.998138 0.0609950i \(-0.980573\pi\)
0.948341 0.317254i \(-0.102761\pi\)
\(824\) 20.1256 + 22.3518i 0.701110 + 0.778661i
\(825\) −22.9922 45.1247i −0.800485 1.57104i
\(826\) 14.8556 20.9220i 0.516893 0.727970i
\(827\) 3.95729 + 6.45770i 0.137608 + 0.224556i 0.914019 0.405670i \(-0.132962\pi\)
−0.776411 + 0.630227i \(0.782962\pi\)
\(828\) −3.45422 5.31904i −0.120043 0.184849i
\(829\) 31.3371 + 8.39675i 1.08838 + 0.291631i 0.758025 0.652225i \(-0.226164\pi\)
0.330357 + 0.943856i \(0.392831\pi\)
\(830\) 3.16192 3.51166i 0.109752 0.121892i
\(831\) −38.7454 26.6290i −1.34406 0.923748i
\(832\) −18.3691 + 21.5075i −0.636835 + 0.745638i
\(833\) −44.7893 + 32.2401i −1.55186 + 1.11705i
\(834\) −3.18408 + 1.31889i −0.110256 + 0.0456694i
\(835\) 1.52970 3.20709i 0.0529376 0.110986i
\(836\) 33.7756 + 3.54995i 1.16815 + 0.122778i
\(837\) −0.365276 + 1.03151i −0.0126258 + 0.0356541i
\(838\) −13.0944 + 1.37627i −0.452337 + 0.0475425i
\(839\) −11.8568 + 49.3870i −0.409341 + 1.70503i 0.263008 + 0.964794i \(0.415285\pi\)
−0.672349 + 0.740234i \(0.734715\pi\)
\(840\) 0.530698 + 5.91896i 0.0183108 + 0.204224i
\(841\) 4.25226 + 26.8477i 0.146630 + 0.925782i
\(842\) 12.9310 + 12.2711i 0.445633 + 0.422890i
\(843\) −28.1371 12.5274i −0.969094 0.431468i
\(844\) 18.0206 + 6.38143i 0.620294 + 0.219658i
\(845\) −1.99414 + 0.887847i −0.0686004 + 0.0305429i
\(846\) −8.93364 + 0.703093i −0.307145 + 0.0241728i
\(847\) −3.09613 + 15.3876i −0.106384 + 0.528725i
\(848\) 1.33878 + 5.57643i 0.0459740 + 0.191495i
\(849\) 9.32924 + 26.3450i 0.320179 + 0.904157i
\(850\) −15.8720 33.2764i −0.544406 1.14137i
\(851\) −6.58986 5.93354i −0.225897 0.203399i
\(852\) 1.70725 0.457457i 0.0584895 0.0156722i
\(853\) 19.6244 38.5150i 0.671927 1.31873i −0.263312 0.964711i \(-0.584815\pi\)
0.935238 0.354019i \(-0.115185\pi\)
\(854\) 6.02861 + 3.82241i 0.206295 + 0.130800i
\(855\) 6.44375 + 3.94873i 0.220371 + 0.135044i
\(856\) 17.3914 + 0.911447i 0.594427 + 0.0311526i
\(857\) −4.06721 19.1347i −0.138933 0.653630i −0.991402 0.130852i \(-0.958229\pi\)
0.852469 0.522779i \(-0.175105\pi\)
\(858\) −43.7977 + 5.76607i −1.49523 + 0.196850i
\(859\) 0.0727706 + 0.0589285i 0.00248290 + 0.00201061i 0.630561 0.776140i \(-0.282825\pi\)
−0.628078 + 0.778150i \(0.716158\pi\)
\(860\) 0.129217 0.00440627
\(861\) 33.6979 25.8748i 1.14842 0.881810i
\(862\) 14.2897 0.486710
\(863\) −36.5791 29.6212i −1.24517 1.00832i −0.999238 0.0390288i \(-0.987574\pi\)
−0.245929 0.969288i \(-0.579093\pi\)
\(864\) 3.81222 0.501889i 0.129694 0.0170746i
\(865\) 0.531874 + 2.50227i 0.0180843 + 0.0850797i
\(866\) −1.12665 0.0590452i −0.0382851 0.00200644i
\(867\) 96.5513 + 59.1667i 3.27905 + 2.00941i
\(868\) 4.35267 + 0.180644i 0.147739 + 0.00613146i
\(869\) −27.5611 + 54.0916i −0.934945 + 1.83493i
\(870\) 0.946014 0.253484i 0.0320729 0.00859390i
\(871\) −4.68202 4.21571i −0.158644 0.142844i
\(872\) −16.5228 34.6408i −0.559533 1.17309i
\(873\) −12.1302 34.2547i −0.410546 1.15935i
\(874\) −2.96865 12.3653i −0.100416 0.418263i
\(875\) −7.55104 + 2.54465i −0.255272 + 0.0860249i
\(876\) 26.6087 2.09415i 0.899024 0.0707547i
\(877\) 32.3215 14.3905i 1.09142 0.485932i 0.219517 0.975609i \(-0.429552\pi\)
0.871904 + 0.489677i \(0.162885\pi\)
\(878\) −16.6364 5.89127i −0.561452 0.198821i
\(879\) −3.33369 1.48426i −0.112443 0.0500627i
\(880\) 0.565836 + 0.536958i 0.0190743 + 0.0181008i
\(881\) −8.21562 51.8714i −0.276791 1.74759i −0.598840 0.800869i \(-0.704371\pi\)
0.322048 0.946723i \(-0.395629\pi\)
\(882\) −18.7583 + 11.3815i −0.631626 + 0.383234i
\(883\) −2.60632 + 10.8561i −0.0877096 + 0.365337i −0.998913 0.0466207i \(-0.985155\pi\)
0.911203 + 0.411958i \(0.135155\pi\)
\(884\) 38.4619 4.04251i 1.29361 0.135964i
\(885\) −2.59001 + 7.31396i −0.0870621 + 0.245856i
\(886\) 2.02054 + 0.212367i 0.0678813 + 0.00713461i
\(887\) −7.63253 + 16.0019i −0.256275 + 0.537293i −0.989816 0.142353i \(-0.954533\pi\)
0.733541 + 0.679646i \(0.237866\pi\)
\(888\) 34.2841 14.2009i 1.15050 0.476552i
\(889\) −1.44939 + 0.245757i −0.0486110 + 0.00824242i
\(890\) −2.56292 + 3.00079i −0.0859092 + 0.100587i
\(891\) −27.2930 18.7579i −0.914349 0.628414i
\(892\) −5.90099 + 6.55371i −0.197580 + 0.219435i
\(893\) 20.8720 + 5.59264i 0.698456 + 0.187151i
\(894\) 13.5257 + 20.8277i 0.452366 + 0.696583i
\(895\) −1.04889 1.71163i −0.0350604 0.0572134i
\(896\) −5.06789 11.0573i −0.169306 0.369397i
\(897\) −9.03097 17.7243i −0.301535 0.591796i
\(898\) −1.75035 1.94396i −0.0584101 0.0648709i
\(899\) −0.265349 2.01553i −0.00884990 0.0672216i
\(900\) 6.31721 + 16.4569i 0.210574 + 0.548564i
\(901\) 36.2499 62.7866i 1.20766 2.09173i
\(902\) 4.83575 24.6372i 0.161013 0.820331i
\(903\) 1.13728 + 2.31907i 0.0378463 + 0.0771738i
\(904\) 0.172884 1.09154i 0.00575002 0.0363042i
\(905\) 4.16662 3.19716i 0.138503 0.106277i
\(906\) −34.8378 + 7.40500i −1.15741 + 0.246015i
\(907\) −12.6968 8.24537i −0.421589 0.273783i 0.316360 0.948639i \(-0.397539\pi\)
−0.737950 + 0.674856i \(0.764206\pi\)
\(908\) −5.01270 + 2.72167i −0.166352 + 0.0903219i
\(909\) 10.3620 6.34982i 0.343685 0.210610i
\(910\) −0.0526669 + 3.44241i −0.00174589 + 0.114115i
\(911\) −22.8262 22.8262i −0.756264 0.756264i 0.219376 0.975640i \(-0.429598\pi\)
−0.975640 + 0.219376i \(0.929598\pi\)
\(912\) 11.5622 + 2.45762i 0.382863 + 0.0813799i
\(913\) −60.5890 + 28.8995i −2.00520 + 0.956433i
\(914\) −0.858830 + 4.63383i −0.0284076 + 0.153274i
\(915\) −2.06959 0.613041i −0.0684185 0.0202665i
\(916\) −8.50417 20.5309i −0.280986 0.678359i
\(917\) 10.8652 19.3011i 0.358800 0.637377i
\(918\) 4.41060 + 3.20449i 0.145572 + 0.105764i
\(919\) −37.0617 + 6.86897i −1.22255 + 0.226587i −0.754015 0.656857i \(-0.771885\pi\)
−0.468537 + 0.883444i \(0.655219\pi\)
\(920\) −0.643219 + 1.44469i −0.0212063 + 0.0476301i
\(921\) 19.5035 + 65.8426i 0.642661 + 2.16959i
\(922\) 2.09588 + 0.804534i 0.0690243 + 0.0264959i
\(923\) 2.86369 0.453564i 0.0942594 0.0149292i
\(924\) 8.90411 28.4539i 0.292924 0.936065i
\(925\) 14.4869 + 19.9395i 0.476327 + 0.655608i
\(926\) −5.89545 31.8090i −0.193736 1.04531i
\(927\) 3.50996 33.3950i 0.115282 1.09684i
\(928\) −5.88705 + 4.04606i −0.193252 + 0.132818i
\(929\) 3.55127 26.9746i 0.116514 0.885008i −0.828960 0.559308i \(-0.811067\pi\)
0.945473 0.325700i \(-0.105600\pi\)
\(930\) 1.06511 0.255711i 0.0349264 0.00838509i
\(931\) 51.7986 10.7713i 1.69763 0.353014i
\(932\) −0.918419 + 11.6696i −0.0300838 + 0.382251i
\(933\) 1.26907 5.97050i 0.0415475 0.195465i
\(934\) −1.12583 + 4.20167i −0.0368384 + 0.137483i
\(935\) −0.516107 9.84792i −0.0168785 0.322061i
\(936\) 43.5230 1.13969i 1.42259 0.0372519i
\(937\) −3.97822 + 6.49187i −0.129963 + 0.212080i −0.911002 0.412402i \(-0.864690\pi\)
0.781039 + 0.624482i \(0.214690\pi\)
\(938\) −3.25173 + 1.38855i −0.106173 + 0.0453379i
\(939\) 0.655153 2.01635i 0.0213801 0.0658012i
\(940\) −0.577720 0.752900i −0.0188432 0.0245569i
\(941\) 37.7647 14.4965i 1.23109 0.472573i 0.346110 0.938194i \(-0.387502\pi\)
0.884984 + 0.465621i \(0.154169\pi\)
\(942\) −29.0256 + 16.7579i −0.945705 + 0.546003i
\(943\) 11.1848 1.65068i 0.364226 0.0537535i
\(944\) 6.34709i 0.206580i
\(945\) 0.397131 0.427716i 0.0129187 0.0139136i
\(946\) 1.41021 + 0.584126i 0.0458497 + 0.0189916i
\(947\) −28.0581 + 25.2636i −0.911765 + 0.820957i −0.984317 0.176408i \(-0.943552\pi\)
0.0725524 + 0.997365i \(0.476886\pi\)
\(948\) 22.0047 33.8843i 0.714679 1.10051i
\(949\) 43.7690 + 1.14613i 1.42080 + 0.0372050i
\(950\) 0.925226 + 35.3330i 0.0300183 + 1.14635i
\(951\) −4.19040 2.13511i −0.135883 0.0692358i
\(952\) 19.8829 58.1509i 0.644408 1.88468i
\(953\) 10.8084 + 33.2648i 0.350119 + 1.07755i 0.958786 + 0.284129i \(0.0917043\pi\)
−0.608668 + 0.793425i \(0.708296\pi\)
\(954\) 16.3265 23.7552i 0.528591 0.769104i
\(955\) 2.03492 + 0.377150i 0.0658485 + 0.0122043i
\(956\) 11.6863 + 12.3148i 0.377962 + 0.398289i
\(957\) −13.7939 1.81601i −0.445895 0.0587032i
\(958\) −0.754884 9.59171i −0.0243892 0.309894i
\(959\) −47.1448 8.20819i −1.52239 0.265056i
\(960\) −3.11724 3.64981i −0.100608 0.117797i
\(961\) 3.00272 + 28.5689i 0.0968619 + 0.921579i
\(962\) 20.6131 6.10588i 0.664593 0.196861i
\(963\) −12.2358 15.1099i −0.394293 0.486911i
\(964\) −7.93589 + 20.6737i −0.255598 + 0.665855i
\(965\) −0.711495 0.170815i −0.0229038 0.00549873i
\(966\) −11.1562 + 0.413656i −0.358945 + 0.0133092i
\(967\) −35.3324 + 30.1767i −1.13621 + 0.970417i −0.999795 0.0202343i \(-0.993559\pi\)
−0.136417 + 0.990651i \(0.543559\pi\)
\(968\) −7.10949 15.9682i −0.228508 0.513236i
\(969\) −84.6400 123.152i −2.71903 3.95621i
\(970\) −1.94806 + 2.53876i −0.0625485 + 0.0815147i
\(971\) −14.9382 + 50.4306i −0.479391 + 1.61840i 0.274633 + 0.961549i \(0.411444\pi\)
−0.754024 + 0.656847i \(0.771890\pi\)
\(972\) 18.5672 + 15.8579i 0.595544 + 0.508642i
\(973\) 0.555853 3.77493i 0.0178198 0.121019i
\(974\) 10.2868 3.34237i 0.329609 0.107096i
\(975\) 14.3100 + 53.4055i 0.458286 + 1.71035i
\(976\) −1.76328 + 0.0924095i −0.0564412 + 0.00295796i
\(977\) −24.0483 13.0572i −0.769374 0.417736i 0.0443288 0.999017i \(-0.485885\pi\)
−0.813703 + 0.581281i \(0.802552\pi\)
\(978\) 17.7018 + 32.6027i 0.566043 + 1.04252i
\(979\) 49.9502 25.4509i 1.59641 0.813414i
\(980\) −2.09280 1.00958i −0.0668521 0.0322500i
\(981\) −16.3971 + 39.5862i −0.523520 + 1.26389i
\(982\) 12.2942 15.1821i 0.392325 0.484481i
\(983\) 26.7076 + 46.2589i 0.851839 + 1.47543i 0.879546 + 0.475813i \(0.157846\pi\)
−0.0277070 + 0.999616i \(0.508821\pi\)
\(984\) −13.9157 + 45.2202i −0.443615 + 1.44157i
\(985\) 3.45745 + 1.99616i 0.110164 + 0.0636030i
\(986\) −10.0036 1.58441i −0.318578 0.0504578i
\(987\) 8.42765 16.9949i 0.268255 0.540953i
\(988\) −35.2617 11.4572i −1.12182 0.364503i
\(989\) −0.0359727 + 0.686399i −0.00114386 + 0.0218262i
\(990\) 0.102633 3.91940i 0.00326190 0.124567i
\(991\) −15.5967 + 28.7255i −0.495445 + 0.912496i 0.503382 + 0.864064i \(0.332089\pi\)
−0.998827 + 0.0484315i \(0.984578\pi\)
\(992\) −6.70048 + 4.35134i −0.212740 + 0.138155i
\(993\) −4.01501 + 4.01501i −0.127413 + 0.127413i
\(994\) 0.445136 1.56510i 0.0141189 0.0496419i
\(995\) −2.61156 0.205534i −0.0827921 0.00651588i
\(996\) 42.1124 14.9128i 1.33438 0.472529i
\(997\) 15.7566 14.9524i 0.499016 0.473548i −0.396843 0.917886i \(-0.629894\pi\)
0.895859 + 0.444338i \(0.146561\pi\)
\(998\) 13.8700 + 10.6428i 0.439046 + 0.336892i
\(999\) −3.28956 1.56904i −0.104077 0.0496422i
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 287.2.be.a.12.10 832
7.3 odd 6 inner 287.2.be.a.94.17 yes 832
41.24 odd 40 inner 287.2.be.a.229.17 yes 832
287.24 even 120 inner 287.2.be.a.24.10 yes 832
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
287.2.be.a.12.10 832 1.1 even 1 trivial
287.2.be.a.24.10 yes 832 287.24 even 120 inner
287.2.be.a.94.17 yes 832 7.3 odd 6 inner
287.2.be.a.229.17 yes 832 41.24 odd 40 inner