Properties

Label 245.2.x.a.222.10
Level $245$
Weight $2$
Character 245.222
Analytic conductor $1.956$
Analytic rank $0$
Dimension $624$
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] = [245,2,Mod(3,245)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(245, base_ring=CyclotomicField(84))
 
chi = DirichletCharacter(H, H._module([63, 2]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("245.3");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 245 = 5 \cdot 7^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 245.x (of order \(84\), degree \(24\), minimal)

Newform invariants

comment: select newform
 
sage: f = N[0] # Warning: the index may be different
 
gp: f = lf[1] \\ Warning: the index may be different
 
Self dual: no
Analytic conductor: \(1.95633484952\)
Analytic rank: \(0\)
Dimension: \(624\)
Relative dimension: \(26\) over \(\Q(\zeta_{84})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{84}]$

Embedding invariants

Embedding label 222.10
Character \(\chi\) \(=\) 245.222
Dual form 245.2.x.a.213.10

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-0.683227 + 0.587964i) q^{2} +(0.927817 + 0.490365i) q^{3} +(-0.176988 + 1.17424i) q^{4} +(2.00985 + 0.980053i) q^{5} +(-0.922226 + 0.210492i) q^{6} +(2.03990 + 1.68488i) q^{7} +(-1.52862 - 2.43279i) q^{8} +(-1.06957 - 1.56878i) q^{9} +O(q^{10})\) \(q+(-0.683227 + 0.587964i) q^{2} +(0.927817 + 0.490365i) q^{3} +(-0.176988 + 1.17424i) q^{4} +(2.00985 + 0.980053i) q^{5} +(-0.922226 + 0.210492i) q^{6} +(2.03990 + 1.68488i) q^{7} +(-1.52862 - 2.43279i) q^{8} +(-1.06957 - 1.56878i) q^{9} +(-1.94942 + 0.512121i) q^{10} +(2.01168 + 1.37154i) q^{11} +(-0.740017 + 1.00269i) q^{12} +(-2.05883 - 0.720417i) q^{13} +(-2.38436 + 0.0482368i) q^{14} +(1.38419 + 1.89487i) q^{15} +(0.205301 + 0.0633270i) q^{16} +(-1.43259 - 3.28352i) q^{17} +(1.65315 + 0.442959i) q^{18} +(-1.63975 + 2.84013i) q^{19} +(-1.50653 + 2.18658i) q^{20} +(1.06645 + 2.56355i) q^{21} +(-2.18085 + 0.245723i) q^{22} +(3.67273 + 1.60240i) q^{23} +(-0.225326 - 3.00676i) q^{24} +(3.07899 + 3.93952i) q^{25} +(1.83023 - 0.718312i) q^{26} +(-0.575591 - 5.10851i) q^{27} +(-2.33948 + 2.09712i) q^{28} +(-3.16908 + 2.52726i) q^{29} +(-2.05983 - 0.480773i) q^{30} +(1.72960 - 0.998587i) q^{31} +(5.08938 - 2.22048i) q^{32} +(1.19392 + 2.25900i) q^{33} +(2.90937 + 1.40108i) q^{34} +(2.44863 + 5.38556i) q^{35} +(2.03142 - 0.978279i) q^{36} +(-7.07954 - 5.22494i) q^{37} +(-0.549575 - 2.90457i) q^{38} +(-1.55695 - 1.67800i) q^{39} +(-0.688039 - 6.38766i) q^{40} +(6.00868 + 1.37144i) q^{41} +(-2.23590 - 1.12445i) q^{42} +(-4.96723 - 3.12112i) q^{43} +(-1.96656 + 2.11944i) q^{44} +(-0.612199 - 4.20125i) q^{45} +(-3.45146 + 1.06463i) q^{46} +(-3.54380 - 4.11797i) q^{47} +(0.159428 + 0.159428i) q^{48} +(1.32239 + 6.87396i) q^{49} +(-4.41995 - 0.881247i) q^{50} +(0.280948 - 3.74900i) q^{51} +(1.21033 - 2.29005i) q^{52} +(7.67745 - 5.66622i) q^{53} +(3.39688 + 3.15185i) q^{54} +(2.69899 + 4.72815i) q^{55} +(0.980706 - 7.53818i) q^{56} +(-2.91409 + 1.83105i) q^{57} +(0.679264 - 3.59000i) q^{58} +(10.1962 - 9.46068i) q^{59} +(-2.47001 + 1.29000i) q^{60} +(1.10005 + 7.29837i) q^{61} +(-0.594578 + 1.69921i) q^{62} +(0.461369 - 5.00225i) q^{63} +(-2.35808 + 4.89660i) q^{64} +(-3.43190 - 3.46570i) q^{65} +(-2.14392 - 0.841428i) q^{66} +(3.93468 - 14.6844i) q^{67} +(4.10918 - 1.10105i) q^{68} +(2.62186 + 3.28771i) q^{69} +(-4.83948 - 2.23985i) q^{70} +(-3.00724 + 3.77096i) q^{71} +(-2.18153 + 5.00011i) q^{72} +(0.798581 - 0.927968i) q^{73} +(7.90900 - 0.592698i) q^{74} +(0.924938 + 5.16498i) q^{75} +(-3.04477 - 2.42812i) q^{76} +(1.79275 + 6.18724i) q^{77} +(2.05035 + 0.231019i) q^{78} +(-9.25348 - 5.34250i) q^{79} +(0.350561 + 0.328484i) q^{80} +(-0.110022 + 0.280330i) q^{81} +(-4.91165 + 2.59588i) q^{82} +(-1.08357 - 3.09667i) q^{83} +(-3.19896 + 0.798547i) q^{84} +(0.338742 - 8.00339i) q^{85} +(5.22885 - 0.788122i) q^{86} +(-4.17961 + 0.790824i) q^{87} +(0.261568 - 6.99056i) q^{88} +(6.39305 - 4.35871i) q^{89} +(2.88845 + 2.51045i) q^{90} +(-2.98600 - 4.93846i) q^{91} +(-2.53162 + 4.02905i) q^{92} +(2.09443 - 0.0783679i) q^{93} +(4.84244 + 0.729880i) q^{94} +(-6.07914 + 4.10120i) q^{95} +(5.81086 + 0.435464i) q^{96} +(-3.49102 + 3.49102i) q^{97} +(-4.94513 - 3.91895i) q^{98} -4.62285i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 624 q - 26 q^{2} - 22 q^{3} - 28 q^{5} - 28 q^{6} - 18 q^{7} - 24 q^{8}+O(q^{10}) \) Copy content Toggle raw display \( 624 q - 26 q^{2} - 22 q^{3} - 28 q^{5} - 28 q^{6} - 18 q^{7} - 24 q^{8} - 34 q^{10} - 56 q^{11} - 34 q^{12} - 28 q^{13} + 12 q^{15} - 100 q^{16} - 26 q^{17} - 10 q^{18} - 28 q^{20} - 76 q^{21} - 48 q^{22} - 34 q^{23} - 24 q^{25} - 60 q^{26} - 28 q^{27} - 46 q^{28} - 10 q^{30} - 60 q^{31} + 54 q^{32} - 28 q^{33} - 20 q^{35} + 116 q^{36} - 20 q^{37} + 12 q^{38} - 46 q^{40} - 114 q^{42} - 24 q^{43} + 60 q^{45} + 108 q^{46} - 94 q^{47} - 296 q^{50} + 52 q^{51} - 52 q^{52} - 106 q^{53} + 14 q^{55} + 96 q^{56} + 72 q^{57} - 142 q^{58} - 26 q^{60} + 80 q^{61} - 56 q^{62} - 24 q^{63} - 20 q^{65} - 240 q^{66} - 8 q^{67} - 30 q^{68} + 180 q^{70} + 48 q^{71} + 138 q^{72} - 4 q^{73} - 106 q^{75} + 56 q^{76} - 8 q^{77} - 204 q^{78} - 18 q^{80} - 284 q^{81} - 162 q^{82} + 182 q^{83} - 36 q^{85} - 76 q^{86} - 74 q^{87} + 288 q^{88} - 112 q^{90} + 44 q^{91} - 8 q^{92} + 368 q^{93} + 26 q^{95} + 136 q^{96} + 304 q^{98}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/245\mathbb{Z}\right)^\times\).

\(n\) \(101\) \(197\)
\(\chi(n)\) \(e\left(\frac{17}{42}\right)\) \(e\left(\frac{1}{4}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.683227 + 0.587964i −0.483114 + 0.415753i −0.859834 0.510574i \(-0.829433\pi\)
0.376720 + 0.926327i \(0.377052\pi\)
\(3\) 0.927817 + 0.490365i 0.535675 + 0.283113i 0.713148 0.701013i \(-0.247269\pi\)
−0.177473 + 0.984126i \(0.556792\pi\)
\(4\) −0.176988 + 1.17424i −0.0884938 + 0.587118i
\(5\) 2.00985 + 0.980053i 0.898832 + 0.438293i
\(6\) −0.922226 + 0.210492i −0.376497 + 0.0859331i
\(7\) 2.03990 + 1.68488i 0.771010 + 0.636823i
\(8\) −1.52862 2.43279i −0.540449 0.860120i
\(9\) −1.06957 1.56878i −0.356525 0.522926i
\(10\) −1.94942 + 0.512121i −0.616460 + 0.161947i
\(11\) 2.01168 + 1.37154i 0.606545 + 0.413535i 0.827273 0.561800i \(-0.189891\pi\)
−0.220728 + 0.975335i \(0.570843\pi\)
\(12\) −0.740017 + 1.00269i −0.213624 + 0.289451i
\(13\) −2.05883 0.720417i −0.571018 0.199808i 0.0292982 0.999571i \(-0.490673\pi\)
−0.600316 + 0.799763i \(0.704958\pi\)
\(14\) −2.38436 + 0.0482368i −0.637247 + 0.0128918i
\(15\) 1.38419 + 1.89487i 0.357396 + 0.489253i
\(16\) 0.205301 + 0.0633270i 0.0513253 + 0.0158317i
\(17\) −1.43259 3.28352i −0.347453 0.796371i −0.999278 0.0380011i \(-0.987901\pi\)
0.651825 0.758370i \(-0.274004\pi\)
\(18\) 1.65315 + 0.442959i 0.389650 + 0.104407i
\(19\) −1.63975 + 2.84013i −0.376185 + 0.651572i −0.990504 0.137487i \(-0.956098\pi\)
0.614319 + 0.789058i \(0.289431\pi\)
\(20\) −1.50653 + 2.18658i −0.336871 + 0.488934i
\(21\) 1.06645 + 2.56355i 0.232718 + 0.559413i
\(22\) −2.18085 + 0.245723i −0.464959 + 0.0523883i
\(23\) 3.67273 + 1.60240i 0.765818 + 0.334123i 0.746232 0.665685i \(-0.231861\pi\)
0.0195851 + 0.999808i \(0.493765\pi\)
\(24\) −0.225326 3.00676i −0.0459944 0.613753i
\(25\) 3.07899 + 3.93952i 0.615799 + 0.787904i
\(26\) 1.83023 0.718312i 0.358938 0.140873i
\(27\) −0.575591 5.10851i −0.110773 0.983134i
\(28\) −2.33948 + 2.09712i −0.442120 + 0.396319i
\(29\) −3.16908 + 2.52726i −0.588484 + 0.469300i −0.871891 0.489699i \(-0.837107\pi\)
0.283408 + 0.959000i \(0.408535\pi\)
\(30\) −2.05983 0.480773i −0.376072 0.0877767i
\(31\) 1.72960 0.998587i 0.310646 0.179351i −0.336570 0.941659i \(-0.609267\pi\)
0.647215 + 0.762307i \(0.275933\pi\)
\(32\) 5.08938 2.22048i 0.899685 0.392528i
\(33\) 1.19392 + 2.25900i 0.207834 + 0.393241i
\(34\) 2.90937 + 1.40108i 0.498953 + 0.240283i
\(35\) 2.44863 + 5.38556i 0.413894 + 0.910325i
\(36\) 2.03142 0.978279i 0.338570 0.163046i
\(37\) −7.07954 5.22494i −1.16387 0.858974i −0.171857 0.985122i \(-0.554977\pi\)
−0.992011 + 0.126148i \(0.959739\pi\)
\(38\) −0.549575 2.90457i −0.0891528 0.471184i
\(39\) −1.55695 1.67800i −0.249312 0.268694i
\(40\) −0.688039 6.38766i −0.108789 1.00998i
\(41\) 6.00868 + 1.37144i 0.938398 + 0.214183i 0.664255 0.747506i \(-0.268749\pi\)
0.274143 + 0.961689i \(0.411606\pi\)
\(42\) −2.23590 1.12445i −0.345007 0.173507i
\(43\) −4.96723 3.12112i −0.757495 0.475966i 0.0970908 0.995276i \(-0.469046\pi\)
−0.854586 + 0.519310i \(0.826189\pi\)
\(44\) −1.96656 + 2.11944i −0.296469 + 0.319518i
\(45\) −0.612199 4.20125i −0.0912613 0.626285i
\(46\) −3.45146 + 1.06463i −0.508890 + 0.156972i
\(47\) −3.54380 4.11797i −0.516916 0.600668i 0.437473 0.899231i \(-0.355873\pi\)
−0.954390 + 0.298564i \(0.903492\pi\)
\(48\) 0.159428 + 0.159428i 0.0230115 + 0.0230115i
\(49\) 1.32239 + 6.87396i 0.188913 + 0.981994i
\(50\) −4.41995 0.881247i −0.625075 0.124627i
\(51\) 0.280948 3.74900i 0.0393406 0.524964i
\(52\) 1.21033 2.29005i 0.167842 0.317573i
\(53\) 7.67745 5.66622i 1.05458 0.778315i 0.0787597 0.996894i \(-0.474904\pi\)
0.975819 + 0.218579i \(0.0701421\pi\)
\(54\) 3.39688 + 3.15185i 0.462257 + 0.428912i
\(55\) 2.69899 + 4.72815i 0.363932 + 0.637543i
\(56\) 0.980706 7.53818i 0.131052 1.00733i
\(57\) −2.91409 + 1.83105i −0.385981 + 0.242528i
\(58\) 0.679264 3.59000i 0.0891917 0.471390i
\(59\) 10.1962 9.46068i 1.32743 1.23168i 0.374962 0.927040i \(-0.377656\pi\)
0.952469 0.304635i \(-0.0985346\pi\)
\(60\) −2.47001 + 1.29000i −0.318877 + 0.166538i
\(61\) 1.10005 + 7.29837i 0.140847 + 0.934461i 0.941906 + 0.335875i \(0.109032\pi\)
−0.801059 + 0.598585i \(0.795730\pi\)
\(62\) −0.594578 + 1.69921i −0.0755114 + 0.215799i
\(63\) 0.461369 5.00225i 0.0581270 0.630224i
\(64\) −2.35808 + 4.89660i −0.294760 + 0.612075i
\(65\) −3.43190 3.46570i −0.425675 0.429867i
\(66\) −2.14392 0.841428i −0.263899 0.103573i
\(67\) 3.93468 14.6844i 0.480697 1.79399i −0.118002 0.993013i \(-0.537649\pi\)
0.598700 0.800974i \(-0.295684\pi\)
\(68\) 4.10918 1.10105i 0.498311 0.133522i
\(69\) 2.62186 + 3.28771i 0.315635 + 0.395794i
\(70\) −4.83948 2.23985i −0.578429 0.267713i
\(71\) −3.00724 + 3.77096i −0.356894 + 0.447531i −0.927573 0.373643i \(-0.878109\pi\)
0.570679 + 0.821173i \(0.306680\pi\)
\(72\) −2.18153 + 5.00011i −0.257095 + 0.589269i
\(73\) 0.798581 0.927968i 0.0934669 0.108610i −0.709290 0.704916i \(-0.750985\pi\)
0.802757 + 0.596306i \(0.203365\pi\)
\(74\) 7.90900 0.592698i 0.919403 0.0688997i
\(75\) 0.924938 + 5.16498i 0.106803 + 0.596401i
\(76\) −3.04477 2.42812i −0.349259 0.278525i
\(77\) 1.79275 + 6.18724i 0.204303 + 0.705101i
\(78\) 2.05035 + 0.231019i 0.232157 + 0.0261578i
\(79\) −9.25348 5.34250i −1.04110 0.601078i −0.120954 0.992658i \(-0.538595\pi\)
−0.920144 + 0.391580i \(0.871929\pi\)
\(80\) 0.350561 + 0.328484i 0.0391939 + 0.0367256i
\(81\) −0.110022 + 0.280330i −0.0122246 + 0.0311478i
\(82\) −4.91165 + 2.59588i −0.542401 + 0.286667i
\(83\) −1.08357 3.09667i −0.118937 0.339904i 0.868988 0.494833i \(-0.164771\pi\)
−0.987926 + 0.154929i \(0.950485\pi\)
\(84\) −3.19896 + 0.798547i −0.349036 + 0.0871286i
\(85\) 0.338742 8.00339i 0.0367417 0.868090i
\(86\) 5.22885 0.788122i 0.563841 0.0849854i
\(87\) −4.17961 + 0.790824i −0.448101 + 0.0847853i
\(88\) 0.261568 6.99056i 0.0278833 0.745196i
\(89\) 6.39305 4.35871i 0.677662 0.462022i −0.174942 0.984579i \(-0.555974\pi\)
0.852605 + 0.522556i \(0.175022\pi\)
\(90\) 2.88845 + 2.51045i 0.304470 + 0.264625i
\(91\) −2.98600 4.93846i −0.313018 0.517691i
\(92\) −2.53162 + 4.02905i −0.263940 + 0.420058i
\(93\) 2.09443 0.0783679i 0.217182 0.00812637i
\(94\) 4.84244 + 0.729880i 0.499459 + 0.0752814i
\(95\) −6.07914 + 4.10120i −0.623706 + 0.420774i
\(96\) 5.81086 + 0.435464i 0.593068 + 0.0444443i
\(97\) −3.49102 + 3.49102i −0.354459 + 0.354459i −0.861766 0.507307i \(-0.830641\pi\)
0.507307 + 0.861766i \(0.330641\pi\)
\(98\) −4.94513 3.91895i −0.499534 0.395874i
\(99\) 4.62285i 0.464614i
\(100\) −5.17087 + 2.91822i −0.517087 + 0.291822i
\(101\) 3.35375 + 10.8726i 0.333711 + 1.08186i 0.954581 + 0.297950i \(0.0963030\pi\)
−0.620871 + 0.783913i \(0.713221\pi\)
\(102\) 2.01232 + 2.72660i 0.199250 + 0.269974i
\(103\) 0.487855 + 13.0382i 0.0480697 + 1.28469i 0.789538 + 0.613702i \(0.210320\pi\)
−0.741468 + 0.670988i \(0.765870\pi\)
\(104\) 1.39456 + 6.10995i 0.136747 + 0.599130i
\(105\) −0.369013 + 6.19753i −0.0360120 + 0.604817i
\(106\) −1.91391 + 8.38538i −0.185895 + 0.814460i
\(107\) 11.1146 + 2.10299i 1.07449 + 0.203304i 0.692903 0.721031i \(-0.256331\pi\)
0.381583 + 0.924334i \(0.375379\pi\)
\(108\) 6.10047 + 0.228264i 0.587018 + 0.0219647i
\(109\) −7.48180 + 10.9738i −0.716626 + 1.05110i 0.279236 + 0.960223i \(0.409919\pi\)
−0.995862 + 0.0908754i \(0.971033\pi\)
\(110\) −4.62400 1.64348i −0.440882 0.156700i
\(111\) −4.00638 8.31934i −0.380269 0.789637i
\(112\) 0.312096 + 0.475087i 0.0294903 + 0.0448915i
\(113\) −3.48238 + 1.21854i −0.327595 + 0.114630i −0.489065 0.872247i \(-0.662662\pi\)
0.161471 + 0.986878i \(0.448376\pi\)
\(114\) 0.914397 2.96440i 0.0856411 0.277642i
\(115\) 5.81121 + 6.82005i 0.541898 + 0.635973i
\(116\) −2.40671 4.16854i −0.223457 0.387040i
\(117\) 1.07190 + 4.00039i 0.0990974 + 0.369836i
\(118\) −1.40377 + 12.4588i −0.129227 + 1.14692i
\(119\) 2.60999 9.11179i 0.239257 0.835276i
\(120\) 2.49392 6.26397i 0.227662 0.571820i
\(121\) −1.85301 4.72140i −0.168456 0.429219i
\(122\) −5.04277 4.33965i −0.456551 0.392894i
\(123\) 4.90244 + 4.21889i 0.442038 + 0.380405i
\(124\) 0.866458 + 2.20770i 0.0778102 + 0.198257i
\(125\) 2.32738 + 10.9354i 0.208167 + 0.978093i
\(126\) 2.62592 + 3.68894i 0.233936 + 0.328637i
\(127\) −0.725433 + 6.43840i −0.0643718 + 0.571315i 0.919583 + 0.392896i \(0.128527\pi\)
−0.983955 + 0.178419i \(0.942902\pi\)
\(128\) 1.60636 + 5.99501i 0.141983 + 0.529889i
\(129\) −3.07819 5.33158i −0.271020 0.469420i
\(130\) 4.38247 + 0.350022i 0.384368 + 0.0306990i
\(131\) 2.39167 7.75361i 0.208961 0.677436i −0.789046 0.614335i \(-0.789425\pi\)
0.998007 0.0631018i \(-0.0200993\pi\)
\(132\) −2.86390 + 1.00212i −0.249271 + 0.0872237i
\(133\) −8.13020 + 3.03081i −0.704978 + 0.262805i
\(134\) 5.94563 + 12.3462i 0.513624 + 1.06655i
\(135\) 3.84976 10.8315i 0.331335 0.932223i
\(136\) −5.79822 + 8.50443i −0.497194 + 0.729249i
\(137\) −10.4559 0.391234i −0.893311 0.0334253i −0.413207 0.910637i \(-0.635592\pi\)
−0.480104 + 0.877212i \(0.659401\pi\)
\(138\) −3.72438 0.704691i −0.317040 0.0599873i
\(139\) −2.70244 + 11.8402i −0.229218 + 1.00427i 0.721061 + 0.692871i \(0.243655\pi\)
−0.950279 + 0.311399i \(0.899203\pi\)
\(140\) −6.75729 + 1.92209i −0.571095 + 0.162446i
\(141\) −1.26869 5.55848i −0.106843 0.468108i
\(142\) −0.162562 4.34457i −0.0136419 0.364588i
\(143\) −3.15364 4.27302i −0.263720 0.357328i
\(144\) −0.120239 0.389805i −0.0100199 0.0324837i
\(145\) −8.84623 + 1.97354i −0.734639 + 0.163894i
\(146\) 1.10355i 0.0913304i
\(147\) −2.14381 + 7.02623i −0.176819 + 0.579513i
\(148\) 7.38830 7.38830i 0.607314 0.607314i
\(149\) −12.1729 0.912235i −0.997245 0.0747332i −0.433905 0.900959i \(-0.642865\pi\)
−0.563340 + 0.826225i \(0.690484\pi\)
\(150\) −3.66877 2.98502i −0.299554 0.243726i
\(151\) 6.25716 + 0.943115i 0.509201 + 0.0767496i 0.398618 0.917117i \(-0.369490\pi\)
0.110583 + 0.993867i \(0.464728\pi\)
\(152\) 9.41600 0.352322i 0.763738 0.0285771i
\(153\) −3.61886 + 5.75938i −0.292567 + 0.465618i
\(154\) −4.86273 3.17321i −0.391850 0.255705i
\(155\) 4.45491 0.311907i 0.357827 0.0250530i
\(156\) 2.24592 1.53125i 0.179818 0.122598i
\(157\) −0.223345 + 5.96901i −0.0178248 + 0.476379i 0.961586 + 0.274503i \(0.0885133\pi\)
−0.979411 + 0.201876i \(0.935296\pi\)
\(158\) 9.46343 1.79058i 0.752870 0.142451i
\(159\) 9.90178 1.49245i 0.785263 0.118359i
\(160\) 12.4051 + 0.525043i 0.980708 + 0.0415083i
\(161\) 4.79217 + 9.45683i 0.377676 + 0.745302i
\(162\) −0.0896546 0.256218i −0.00704393 0.0201304i
\(163\) −14.0517 + 7.42654i −1.10061 + 0.581691i −0.916024 0.401124i \(-0.868620\pi\)
−0.184590 + 0.982816i \(0.559096\pi\)
\(164\) −2.67386 + 6.81288i −0.208793 + 0.531996i
\(165\) 0.185653 + 5.71035i 0.0144531 + 0.444550i
\(166\) 2.56106 + 1.47863i 0.198776 + 0.114764i
\(167\) −2.18064 0.245699i −0.168743 0.0190128i 0.0271887 0.999630i \(-0.491344\pi\)
−0.195932 + 0.980618i \(0.562773\pi\)
\(168\) 4.60638 6.51314i 0.355390 0.502500i
\(169\) −6.44401 5.13893i −0.495693 0.395302i
\(170\) 4.47427 + 5.66730i 0.343161 + 0.434662i
\(171\) 6.20938 0.465329i 0.474843 0.0355846i
\(172\) 4.54407 5.28030i 0.346482 0.402619i
\(173\) 6.97179 15.9795i 0.530056 1.21490i −0.421332 0.906906i \(-0.638437\pi\)
0.951388 0.307994i \(-0.0996578\pi\)
\(174\) 2.39064 2.99777i 0.181234 0.227260i
\(175\) −0.356756 + 13.2239i −0.0269682 + 0.999636i
\(176\) 0.326145 + 0.408973i 0.0245841 + 0.0308275i
\(177\) 14.0994 3.77792i 1.05977 0.283966i
\(178\) −1.80514 + 6.73687i −0.135301 + 0.504950i
\(179\) −10.0995 3.96376i −0.754871 0.296265i −0.0434733 0.999055i \(-0.513842\pi\)
−0.711398 + 0.702789i \(0.751938\pi\)
\(180\) 5.04161 + 0.0247023i 0.375779 + 0.00184120i
\(181\) 10.6776 22.1722i 0.793657 1.64804i 0.0325043 0.999472i \(-0.489652\pi\)
0.761152 0.648573i \(-0.224634\pi\)
\(182\) 4.94375 + 1.61842i 0.366455 + 0.119965i
\(183\) −2.55822 + 7.31098i −0.189109 + 0.540443i
\(184\) −1.71593 11.3844i −0.126500 0.839271i
\(185\) −9.10809 17.4397i −0.669640 1.28219i
\(186\) −1.38489 + 1.28499i −0.101545 + 0.0942201i
\(187\) 1.62158 8.57025i 0.118582 0.626719i
\(188\) 5.46268 3.43243i 0.398407 0.250336i
\(189\) 7.43306 11.3907i 0.540675 0.828549i
\(190\) 1.74207 6.37636i 0.126383 0.462590i
\(191\) −10.4792 9.72325i −0.758246 0.703550i 0.203019 0.979175i \(-0.434925\pi\)
−0.961265 + 0.275625i \(0.911115\pi\)
\(192\) −4.58899 + 3.38683i −0.331182 + 0.244423i
\(193\) −9.57506 + 18.1169i −0.689228 + 1.30408i 0.252464 + 0.967606i \(0.418759\pi\)
−0.941692 + 0.336477i \(0.890765\pi\)
\(194\) 0.332563 4.43775i 0.0238767 0.318612i
\(195\) −1.48472 4.89842i −0.106323 0.350783i
\(196\) −8.30569 + 0.336194i −0.593264 + 0.0240139i
\(197\) −4.50260 4.50260i −0.320797 0.320797i 0.528276 0.849073i \(-0.322839\pi\)
−0.849073 + 0.528276i \(0.822839\pi\)
\(198\) 2.71807 + 3.15845i 0.193165 + 0.224461i
\(199\) 11.7027 3.60980i 0.829582 0.255892i 0.149253 0.988799i \(-0.452313\pi\)
0.680329 + 0.732907i \(0.261837\pi\)
\(200\) 4.87739 13.5126i 0.344884 0.955482i
\(201\) 10.8514 11.6950i 0.765398 0.824903i
\(202\) −8.68406 5.45656i −0.611009 0.383922i
\(203\) −10.7227 0.184151i −0.752588 0.0129248i
\(204\) 4.35248 + 0.993426i 0.304735 + 0.0695537i
\(205\) 10.7325 + 8.64521i 0.749587 + 0.603808i
\(206\) −7.99930 8.62120i −0.557338 0.600667i
\(207\) −1.41446 7.47558i −0.0983115 0.519589i
\(208\) −0.377059 0.278282i −0.0261443 0.0192954i
\(209\) −7.19402 + 3.46446i −0.497621 + 0.239642i
\(210\) −3.39181 4.45129i −0.234057 0.307168i
\(211\) −17.4927 8.42402i −1.20424 0.579934i −0.279362 0.960186i \(-0.590123\pi\)
−0.924883 + 0.380252i \(0.875837\pi\)
\(212\) 5.29466 + 10.0180i 0.363639 + 0.688038i
\(213\) −4.63932 + 2.02411i −0.317881 + 0.138690i
\(214\) −8.83026 + 5.09815i −0.603624 + 0.348502i
\(215\) −6.92452 11.1411i −0.472249 0.759818i
\(216\) −11.5481 + 9.20927i −0.785746 + 0.626611i
\(217\) 5.21071 + 0.877147i 0.353726 + 0.0595446i
\(218\) −1.34043 11.8966i −0.0907851 0.805740i
\(219\) 1.19598 0.469388i 0.0808169 0.0317183i
\(220\) −6.02965 + 2.33243i −0.406519 + 0.157253i
\(221\) 0.583951 + 7.79228i 0.0392808 + 0.524166i
\(222\) 7.62874 + 3.32839i 0.512008 + 0.223387i
\(223\) 26.3369 2.96746i 1.76365 0.198716i 0.830212 0.557448i \(-0.188220\pi\)
0.933440 + 0.358732i \(0.116791\pi\)
\(224\) 14.1231 + 4.04543i 0.943637 + 0.270296i
\(225\) 2.88702 9.04386i 0.192468 0.602924i
\(226\) 1.66280 2.88005i 0.110608 0.191578i
\(227\) 12.3494 + 3.30902i 0.819661 + 0.219627i 0.644198 0.764859i \(-0.277191\pi\)
0.175463 + 0.984486i \(0.443858\pi\)
\(228\) −1.63432 3.74591i −0.108236 0.248079i
\(229\) −4.08479 1.25999i −0.269930 0.0832624i 0.156835 0.987625i \(-0.449871\pi\)
−0.426765 + 0.904362i \(0.640347\pi\)
\(230\) −7.98031 1.24286i −0.526206 0.0819516i
\(231\) −1.37066 + 6.61973i −0.0901828 + 0.435546i
\(232\) 10.9926 + 3.84648i 0.721700 + 0.252534i
\(233\) −9.63268 + 13.0518i −0.631058 + 0.855053i −0.997144 0.0755280i \(-0.975936\pi\)
0.366086 + 0.930581i \(0.380698\pi\)
\(234\) −3.08444 2.10294i −0.201636 0.137473i
\(235\) −3.08668 11.7496i −0.201353 0.766460i
\(236\) 9.30447 + 13.6472i 0.605670 + 0.888354i
\(237\) −5.96576 9.49445i −0.387518 0.616731i
\(238\) 3.57419 + 7.76000i 0.231680 + 0.503006i
\(239\) 16.1609 3.68863i 1.04536 0.238597i 0.334843 0.942274i \(-0.391317\pi\)
0.710520 + 0.703677i \(0.248460\pi\)
\(240\) 0.164179 + 0.476675i 0.0105977 + 0.0307693i
\(241\) −1.94714 + 12.9184i −0.125426 + 0.832149i 0.834320 + 0.551280i \(0.185860\pi\)
−0.959746 + 0.280868i \(0.909378\pi\)
\(242\) 4.04205 + 2.13628i 0.259833 + 0.137326i
\(243\) −11.9294 + 10.2661i −0.765270 + 0.658568i
\(244\) −8.76471 −0.561103
\(245\) −4.07903 + 15.1116i −0.260600 + 0.965447i
\(246\) −5.83004 −0.371710
\(247\) 5.42206 4.66606i 0.344997 0.296894i
\(248\) −5.07325 2.68129i −0.322152 0.170262i
\(249\) 0.513144 3.40449i 0.0325192 0.215751i
\(250\) −8.01976 6.10295i −0.507214 0.385985i
\(251\) −22.2549 + 5.07954i −1.40472 + 0.320618i −0.856685 0.515840i \(-0.827480\pi\)
−0.548032 + 0.836457i \(0.684623\pi\)
\(252\) 5.79217 + 1.42709i 0.364872 + 0.0898984i
\(253\) 5.19061 + 8.26081i 0.326331 + 0.519353i
\(254\) −3.28991 4.82541i −0.206427 0.302773i
\(255\) 4.23888 7.25958i 0.265449 0.454612i
\(256\) −13.6033 9.27456i −0.850205 0.579660i
\(257\) −9.70414 + 13.1486i −0.605328 + 0.820190i −0.994906 0.100803i \(-0.967859\pi\)
0.389579 + 0.920993i \(0.372621\pi\)
\(258\) 5.23788 + 1.83281i 0.326096 + 0.114106i
\(259\) −5.63819 22.5865i −0.350340 1.40346i
\(260\) 4.67695 3.41648i 0.290052 0.211881i
\(261\) 7.35428 + 2.26849i 0.455218 + 0.140416i
\(262\) 2.92479 + 6.70369i 0.180694 + 0.414156i
\(263\) −7.34928 1.96923i −0.453176 0.121428i 0.0250092 0.999687i \(-0.492038\pi\)
−0.478185 + 0.878259i \(0.658705\pi\)
\(264\) 3.67061 6.35769i 0.225911 0.391289i
\(265\) 20.9837 3.86394i 1.28902 0.237360i
\(266\) 3.77276 6.85100i 0.231323 0.420062i
\(267\) 8.06894 0.909152i 0.493811 0.0556392i
\(268\) 16.5466 + 7.21920i 1.01074 + 0.440983i
\(269\) 2.15092 + 28.7020i 0.131144 + 1.74999i 0.543899 + 0.839151i \(0.316947\pi\)
−0.412755 + 0.910842i \(0.635434\pi\)
\(270\) 3.73825 + 9.66386i 0.227502 + 0.588124i
\(271\) −12.2829 + 4.82068i −0.746133 + 0.292836i −0.707784 0.706429i \(-0.750305\pi\)
−0.0383489 + 0.999264i \(0.512210\pi\)
\(272\) −0.0861758 0.764832i −0.00522518 0.0463747i
\(273\) −0.348815 6.04622i −0.0211113 0.365934i
\(274\) 7.37381 5.88042i 0.445468 0.355249i
\(275\) 0.790742 + 12.1480i 0.0476835 + 0.732553i
\(276\) −4.32459 + 2.49680i −0.260309 + 0.150290i
\(277\) 6.00313 2.61914i 0.360693 0.157369i −0.211728 0.977329i \(-0.567909\pi\)
0.572421 + 0.819960i \(0.306004\pi\)
\(278\) −5.11521 9.67846i −0.306790 0.580475i
\(279\) −3.41650 1.64530i −0.204540 0.0985015i
\(280\) 9.35888 14.1895i 0.559300 0.847983i
\(281\) −25.8902 + 12.4681i −1.54448 + 0.743782i −0.995739 0.0922109i \(-0.970607\pi\)
−0.548740 + 0.835993i \(0.684892\pi\)
\(282\) 4.13499 + 3.05176i 0.246235 + 0.181730i
\(283\) −1.82650 9.65326i −0.108574 0.573827i −0.994030 0.109104i \(-0.965202\pi\)
0.885456 0.464722i \(-0.153846\pi\)
\(284\) −3.89575 4.19862i −0.231170 0.249142i
\(285\) −7.65141 + 0.824163i −0.453231 + 0.0488192i
\(286\) 4.66703 + 1.06522i 0.275967 + 0.0629878i
\(287\) 9.94640 + 12.9215i 0.587117 + 0.762731i
\(288\) −8.92691 5.60915i −0.526023 0.330522i
\(289\) 2.83373 3.05403i 0.166690 0.179649i
\(290\) 4.88361 6.54964i 0.286775 0.384608i
\(291\) −4.95090 + 1.52715i −0.290227 + 0.0895231i
\(292\) 0.948315 + 1.10196i 0.0554959 + 0.0644874i
\(293\) −18.5844 18.5844i −1.08571 1.08571i −0.995964 0.0897489i \(-0.971394\pi\)
−0.0897489 0.995964i \(-0.528606\pi\)
\(294\) −2.66646 6.06099i −0.155511 0.353484i
\(295\) 29.7648 9.02174i 1.73297 0.525266i
\(296\) −1.88922 + 25.2099i −0.109809 + 1.46530i
\(297\) 5.84863 11.0661i 0.339372 0.642123i
\(298\) 8.85323 6.53398i 0.512854 0.378503i
\(299\) −6.40715 5.94497i −0.370535 0.343806i
\(300\) −6.22861 + 0.171957i −0.359609 + 0.00992795i
\(301\) −4.87396 14.7359i −0.280931 0.849365i
\(302\) −4.82958 + 3.03462i −0.277911 + 0.174623i
\(303\) −2.21988 + 11.7323i −0.127529 + 0.674005i
\(304\) −0.516500 + 0.479242i −0.0296233 + 0.0274864i
\(305\) −4.94185 + 15.7467i −0.282969 + 0.901656i
\(306\) −0.913808 6.06272i −0.0522389 0.346583i
\(307\) −0.118114 + 0.337550i −0.00674112 + 0.0192650i −0.947205 0.320629i \(-0.896106\pi\)
0.940464 + 0.339894i \(0.110391\pi\)
\(308\) −7.58257 + 1.01005i −0.432057 + 0.0575531i
\(309\) −5.94084 + 12.3363i −0.337962 + 0.701786i
\(310\) −2.86032 + 2.83243i −0.162455 + 0.160871i
\(311\) 4.00033 + 1.57001i 0.226838 + 0.0890274i 0.476038 0.879425i \(-0.342072\pi\)
−0.249200 + 0.968452i \(0.580168\pi\)
\(312\) −1.70221 + 6.35275i −0.0963689 + 0.359654i
\(313\) −3.27094 + 0.876445i −0.184884 + 0.0495396i −0.350073 0.936722i \(-0.613843\pi\)
0.165189 + 0.986262i \(0.447177\pi\)
\(314\) −3.35697 4.20951i −0.189445 0.237556i
\(315\) 5.82975 9.60161i 0.328469 0.540989i
\(316\) 7.91111 9.92022i 0.445035 0.558056i
\(317\) 3.02763 6.93940i 0.170049 0.389756i −0.810581 0.585626i \(-0.800849\pi\)
0.980630 + 0.195871i \(0.0627533\pi\)
\(318\) −5.88765 + 6.84158i −0.330163 + 0.383657i
\(319\) −9.84142 + 0.737513i −0.551014 + 0.0412928i
\(320\) −9.53832 + 7.53039i −0.533208 + 0.420962i
\(321\) 9.28105 + 7.40139i 0.518018 + 0.413105i
\(322\) −8.83441 3.64353i −0.492323 0.203046i
\(323\) 11.6747 + 1.31543i 0.649599 + 0.0731923i
\(324\) −0.309702 0.178806i −0.0172056 0.00993369i
\(325\) −3.50104 10.3290i −0.194203 0.572948i
\(326\) 5.23396 13.3359i 0.289882 0.738607i
\(327\) −12.3229 + 6.51284i −0.681458 + 0.360161i
\(328\) −5.84857 16.7142i −0.322933 0.922890i
\(329\) −0.290735 14.3711i −0.0160287 0.792305i
\(330\) −3.48432 3.79230i −0.191806 0.208759i
\(331\) 16.8022 2.53253i 0.923534 0.139200i 0.329974 0.943990i \(-0.392960\pi\)
0.593560 + 0.804790i \(0.297722\pi\)
\(332\) 3.82800 0.724297i 0.210089 0.0397509i
\(333\) −0.624671 + 16.6947i −0.0342317 + 0.914863i
\(334\) 1.63433 1.11427i 0.0894267 0.0609701i
\(335\) 22.2996 25.6573i 1.21836 1.40181i
\(336\) 0.0566012 + 0.593835i 0.00308785 + 0.0323964i
\(337\) −6.48180 + 10.3157i −0.353086 + 0.561933i −0.975292 0.220920i \(-0.929094\pi\)
0.622206 + 0.782854i \(0.286237\pi\)
\(338\) 7.42423 0.277795i 0.403825 0.0151101i
\(339\) −3.82854 0.577059i −0.207938 0.0313415i
\(340\) 9.33792 + 1.81426i 0.506420 + 0.0983923i
\(341\) 4.84901 + 0.363383i 0.262589 + 0.0196783i
\(342\) −3.96882 + 3.96882i −0.214609 + 0.214609i
\(343\) −8.88421 + 16.2503i −0.479702 + 0.877431i
\(344\) 16.8552i 0.908772i
\(345\) 2.04742 + 9.17737i 0.110229 + 0.494093i
\(346\) 4.63207 + 15.0168i 0.249022 + 0.807308i
\(347\) −9.39458 12.7292i −0.504328 0.683340i 0.476286 0.879290i \(-0.341983\pi\)
−0.980614 + 0.195951i \(0.937221\pi\)
\(348\) −0.188876 5.04781i −0.0101248 0.270591i
\(349\) 3.08881 + 13.5330i 0.165340 + 0.724402i 0.987819 + 0.155607i \(0.0497333\pi\)
−0.822479 + 0.568796i \(0.807410\pi\)
\(350\) −7.53146 9.24471i −0.402573 0.494151i
\(351\) −2.49521 + 10.9322i −0.133185 + 0.583520i
\(352\) 13.2837 + 2.51341i 0.708023 + 0.133965i
\(353\) −9.82071 0.367465i −0.522704 0.0195582i −0.225262 0.974298i \(-0.572324\pi\)
−0.297442 + 0.954740i \(0.596133\pi\)
\(354\) −7.41180 + 10.8711i −0.393932 + 0.577793i
\(355\) −9.73984 + 4.63181i −0.516937 + 0.245831i
\(356\) 3.98666 + 8.27839i 0.211293 + 0.438754i
\(357\) 6.88970 7.17422i 0.364641 0.379700i
\(358\) 9.23079 3.22999i 0.487862 0.170710i
\(359\) −5.35813 + 17.3706i −0.282791 + 0.916786i 0.697053 + 0.717020i \(0.254494\pi\)
−0.979844 + 0.199766i \(0.935982\pi\)
\(360\) −9.28492 + 7.91146i −0.489358 + 0.416971i
\(361\) 4.12242 + 7.14025i 0.216970 + 0.375803i
\(362\) 5.74125 + 21.4266i 0.301753 + 1.12616i
\(363\) 0.595956 5.28925i 0.0312796 0.277614i
\(364\) 6.32740 2.63223i 0.331646 0.137966i
\(365\) 2.51449 1.08243i 0.131614 0.0566567i
\(366\) −2.55075 6.49920i −0.133330 0.339719i
\(367\) 23.8641 + 20.5367i 1.24570 + 1.07201i 0.994572 + 0.104054i \(0.0331814\pi\)
0.251125 + 0.967955i \(0.419200\pi\)
\(368\) 0.652541 + 0.561557i 0.0340160 + 0.0292732i
\(369\) −4.27524 10.8931i −0.222560 0.567074i
\(370\) 16.4768 + 6.56001i 0.856587 + 0.341038i
\(371\) 25.2081 + 1.37703i 1.30874 + 0.0714916i
\(372\) −0.278665 + 2.47322i −0.0144481 + 0.128231i
\(373\) −1.30336 4.86420i −0.0674853 0.251859i 0.923939 0.382539i \(-0.124950\pi\)
−0.991425 + 0.130681i \(0.958284\pi\)
\(374\) 3.93109 + 6.80885i 0.203272 + 0.352077i
\(375\) −3.20297 + 11.2873i −0.165401 + 0.582875i
\(376\) −4.60101 + 14.9161i −0.237279 + 0.769240i
\(377\) 8.34529 2.92014i 0.429804 0.150395i
\(378\) 1.61884 + 12.1528i 0.0832639 + 0.625071i
\(379\) 3.57776 + 7.42929i 0.183777 + 0.381617i 0.972421 0.233233i \(-0.0749306\pi\)
−0.788644 + 0.614850i \(0.789216\pi\)
\(380\) −3.73984 7.86420i −0.191850 0.403425i
\(381\) −3.83024 + 5.61793i −0.196229 + 0.287815i
\(382\) 12.8766 + 0.481807i 0.658823 + 0.0246514i
\(383\) −20.1607 3.81461i −1.03016 0.194917i −0.356762 0.934195i \(-0.616119\pi\)
−0.673400 + 0.739278i \(0.735167\pi\)
\(384\) −1.44934 + 6.34998i −0.0739614 + 0.324046i
\(385\) −2.46065 + 14.1924i −0.125407 + 0.723313i
\(386\) −4.11015 18.0077i −0.209201 0.916570i
\(387\) 0.416483 + 11.1307i 0.0211710 + 0.565808i
\(388\) −3.48141 4.71715i −0.176742 0.239477i
\(389\) 7.49948 + 24.3127i 0.380239 + 1.23270i 0.920345 + 0.391107i \(0.127908\pi\)
−0.540107 + 0.841597i \(0.681616\pi\)
\(390\) 3.89449 + 2.47377i 0.197205 + 0.125264i
\(391\) 14.3551i 0.725967i
\(392\) 14.7014 13.7248i 0.742534 0.693205i
\(393\) 6.02114 6.02114i 0.303726 0.303726i
\(394\) 5.72366 + 0.428929i 0.288354 + 0.0216091i
\(395\) −13.3622 19.8065i −0.672324 0.996575i
\(396\) 5.42831 + 0.818187i 0.272783 + 0.0411154i
\(397\) −28.9691 + 1.08395i −1.45392 + 0.0544018i −0.752615 0.658460i \(-0.771208\pi\)
−0.701304 + 0.712862i \(0.747399\pi\)
\(398\) −5.87316 + 9.34708i −0.294395 + 0.468527i
\(399\) −9.02955 1.17473i −0.452043 0.0588101i
\(400\) 0.382643 + 1.00377i 0.0191321 + 0.0501885i
\(401\) −14.3441 + 9.77966i −0.716311 + 0.488373i −0.865800 0.500391i \(-0.833190\pi\)
0.149488 + 0.988763i \(0.452237\pi\)
\(402\) −0.537709 + 14.3706i −0.0268185 + 0.716739i
\(403\) −4.28036 + 0.809888i −0.213220 + 0.0403434i
\(404\) −13.3606 + 2.01378i −0.664713 + 0.100189i
\(405\) −0.495866 + 0.455595i −0.0246398 + 0.0226387i
\(406\) 7.43433 6.17876i 0.368959 0.306647i
\(407\) −7.07556 20.2208i −0.350722 1.00231i
\(408\) −9.54997 + 5.04731i −0.472794 + 0.249879i
\(409\) −0.206844 + 0.527029i −0.0102278 + 0.0260599i −0.935896 0.352275i \(-0.885408\pi\)
0.925669 + 0.378335i \(0.123503\pi\)
\(410\) −12.4158 + 0.403658i −0.613171 + 0.0199353i
\(411\) −9.50935 5.49022i −0.469062 0.270813i
\(412\) −15.3963 1.73474i −0.758519 0.0854646i
\(413\) 36.7393 2.11955i 1.80782 0.104296i
\(414\) 5.36177 + 4.27587i 0.263517 + 0.210147i
\(415\) 0.857084 7.28580i 0.0420726 0.357646i
\(416\) −12.0779 + 0.905111i −0.592166 + 0.0443767i
\(417\) −8.31338 + 9.66032i −0.407108 + 0.473068i
\(418\) 2.87817 6.59684i 0.140776 0.322662i
\(419\) 22.8073 28.5995i 1.11421 1.39718i 0.206056 0.978540i \(-0.433937\pi\)
0.908154 0.418636i \(-0.137492\pi\)
\(420\) −7.21205 1.53019i −0.351912 0.0746659i
\(421\) 19.1039 + 23.9556i 0.931068 + 1.16752i 0.985614 + 0.169012i \(0.0540575\pi\)
−0.0545457 + 0.998511i \(0.517371\pi\)
\(422\) 16.9045 4.52954i 0.822897 0.220495i
\(423\) −2.66982 + 9.96391i −0.129811 + 0.484462i
\(424\) −25.5206 10.0161i −1.23939 0.486425i
\(425\) 8.52457 15.7536i 0.413502 0.764164i
\(426\) 1.97960 4.11068i 0.0959119 0.199163i
\(427\) −10.0528 + 16.7414i −0.486491 + 0.810173i
\(428\) −4.43655 + 12.6789i −0.214449 + 0.612859i
\(429\) −0.830652 5.51102i −0.0401043 0.266074i
\(430\) 11.2816 + 3.54054i 0.544047 + 0.170740i
\(431\) 15.2843 14.1817i 0.736218 0.683110i −0.220087 0.975480i \(-0.570634\pi\)
0.956305 + 0.292370i \(0.0944438\pi\)
\(432\) 0.205337 1.08523i 0.00987930 0.0522133i
\(433\) 18.9835 11.9282i 0.912291 0.573230i 0.00791586 0.999969i \(-0.497480\pi\)
0.904375 + 0.426738i \(0.140337\pi\)
\(434\) −4.07583 + 2.46442i −0.195646 + 0.118296i
\(435\) −9.17543 2.50680i −0.439928 0.120192i
\(436\) −11.5616 10.7276i −0.553702 0.513760i
\(437\) −10.5734 + 7.80352i −0.505794 + 0.373293i
\(438\) −0.541143 + 1.02389i −0.0258568 + 0.0489235i
\(439\) 0.873543 11.6566i 0.0416919 0.556340i −0.936774 0.349934i \(-0.886204\pi\)
0.978466 0.206406i \(-0.0661769\pi\)
\(440\) 7.37683 13.7936i 0.351676 0.657585i
\(441\) 9.36932 9.42675i 0.446158 0.448893i
\(442\) −4.98055 4.98055i −0.236901 0.236901i
\(443\) −18.7303 21.7650i −0.889905 1.03409i −0.999197 0.0400789i \(-0.987239\pi\)
0.109291 0.994010i \(-0.465142\pi\)
\(444\) 10.4780 3.23202i 0.497262 0.153385i
\(445\) 17.1208 2.49482i 0.811606 0.118266i
\(446\) −16.2493 + 17.5126i −0.769429 + 0.829247i
\(447\) −10.8469 6.81557i −0.513041 0.322365i
\(448\) −13.0604 + 6.01552i −0.617047 + 0.284206i
\(449\) 32.6552 + 7.45334i 1.54109 + 0.351745i 0.906872 0.421406i \(-0.138463\pi\)
0.634222 + 0.773151i \(0.281320\pi\)
\(450\) 3.34498 + 7.87647i 0.157684 + 0.371300i
\(451\) 10.2066 + 11.0001i 0.480608 + 0.517972i
\(452\) −0.814512 4.30480i −0.0383114 0.202481i
\(453\) 5.34303 + 3.94333i 0.251037 + 0.185274i
\(454\) −10.3831 + 5.00021i −0.487301 + 0.234672i
\(455\) −1.16147 12.8520i −0.0544506 0.602511i
\(456\) 8.90909 + 4.29039i 0.417206 + 0.200916i
\(457\) −5.19655 9.83236i −0.243084 0.459938i 0.732141 0.681154i \(-0.238521\pi\)
−0.975225 + 0.221215i \(0.928998\pi\)
\(458\) 3.53166 1.54085i 0.165024 0.0719991i
\(459\) −15.9493 + 9.20835i −0.744451 + 0.429809i
\(460\) −9.03686 + 5.61666i −0.421346 + 0.261878i
\(461\) −20.6125 + 16.4379i −0.960020 + 0.765590i −0.972156 0.234336i \(-0.924708\pi\)
0.0121359 + 0.999926i \(0.496137\pi\)
\(462\) −2.95569 5.32867i −0.137511 0.247912i
\(463\) 0.979130 + 8.69002i 0.0455040 + 0.403860i 0.995731 + 0.0923014i \(0.0294223\pi\)
−0.950227 + 0.311558i \(0.899149\pi\)
\(464\) −0.810660 + 0.318160i −0.0376339 + 0.0147702i
\(465\) 4.28629 + 1.89514i 0.198772 + 0.0878851i
\(466\) −1.09270 14.5810i −0.0506182 0.675453i
\(467\) 19.2437 + 8.39595i 0.890493 + 0.388518i 0.794785 0.606891i \(-0.207584\pi\)
0.0957081 + 0.995409i \(0.469488\pi\)
\(468\) −4.88712 + 0.550646i −0.225907 + 0.0254536i
\(469\) 32.7678 23.3253i 1.51307 1.07706i
\(470\) 9.01725 + 6.21279i 0.415935 + 0.286575i
\(471\) −3.13422 + 5.42863i −0.144417 + 0.250138i
\(472\) −38.6019 10.3434i −1.77680 0.476091i
\(473\) −5.71174 13.0914i −0.262626 0.601945i
\(474\) 9.65836 + 2.97921i 0.443623 + 0.136840i
\(475\) −16.2375 + 2.28492i −0.745030 + 0.104839i
\(476\) 10.2375 + 4.67742i 0.469233 + 0.214389i
\(477\) −17.1006 5.98377i −0.782985 0.273978i
\(478\) −8.87280 + 12.0222i −0.405832 + 0.549883i
\(479\) 15.5829 + 10.6242i 0.712000 + 0.485434i 0.864349 0.502893i \(-0.167731\pi\)
−0.152348 + 0.988327i \(0.548683\pi\)
\(480\) 11.2522 + 6.57017i 0.513589 + 0.299886i
\(481\) 10.8115 + 15.8575i 0.492960 + 0.723039i
\(482\) −6.26523 9.97106i −0.285373 0.454169i
\(483\) −0.191044 + 11.1241i −0.00869281 + 0.506165i
\(484\) 5.87200 1.34025i 0.266909 0.0609203i
\(485\) −10.4378 + 3.59504i −0.473956 + 0.163242i
\(486\) 2.11439 14.0281i 0.0959109 0.636327i
\(487\) 20.0371 + 10.5899i 0.907968 + 0.479875i 0.854945 0.518718i \(-0.173591\pi\)
0.0530227 + 0.998593i \(0.483114\pi\)
\(488\) 16.0738 13.8326i 0.727627 0.626174i
\(489\) −16.6791 −0.754256
\(490\) −6.09819 12.7230i −0.275488 0.574766i
\(491\) −9.27652 −0.418643 −0.209322 0.977847i \(-0.567126\pi\)
−0.209322 + 0.977847i \(0.567126\pi\)
\(492\) −5.82165 + 5.00993i −0.262460 + 0.225865i
\(493\) 12.8383 + 6.78523i 0.578207 + 0.305592i
\(494\) −0.961020 + 6.37595i −0.0432383 + 0.286868i
\(495\) 4.53063 9.29123i 0.203637 0.417610i
\(496\) 0.418327 0.0954804i 0.0187834 0.00428719i
\(497\) −12.4881 + 2.62556i −0.560166 + 0.117772i
\(498\) 1.65112 + 2.62775i 0.0739886 + 0.117752i
\(499\) −10.9596 16.0747i −0.490617 0.719603i 0.498475 0.866904i \(-0.333894\pi\)
−0.989092 + 0.147301i \(0.952941\pi\)
\(500\) −13.2527 + 0.797458i −0.592678 + 0.0356634i
\(501\) −1.90275 1.29727i −0.0850086 0.0579579i
\(502\) 12.2186 16.5556i 0.545341 0.738911i
\(503\) 19.9670 + 6.98675i 0.890284 + 0.311524i 0.736385 0.676563i \(-0.236531\pi\)
0.153899 + 0.988087i \(0.450817\pi\)
\(504\) −12.8747 + 6.52413i −0.573483 + 0.290608i
\(505\) −3.91518 + 25.1391i −0.174223 + 1.11868i
\(506\) −8.40343 2.59211i −0.373578 0.115234i
\(507\) −3.45891 7.92791i −0.153616 0.352091i
\(508\) −7.43181 1.99135i −0.329733 0.0883517i
\(509\) 17.9286 31.0532i 0.794669 1.37641i −0.128380 0.991725i \(-0.540978\pi\)
0.923049 0.384683i \(-0.125689\pi\)
\(510\) 1.37225 + 7.45224i 0.0607645 + 0.329991i
\(511\) 3.19254 0.547454i 0.141230 0.0242179i
\(512\) 2.41229 0.271800i 0.106609 0.0120120i
\(513\) 15.4527 + 6.74194i 0.682253 + 0.297664i
\(514\) −1.10080 14.6892i −0.0485543 0.647912i
\(515\) −11.7976 + 26.6829i −0.519864 + 1.17579i
\(516\) 6.80534 2.67090i 0.299588 0.117580i
\(517\) −1.48103 13.1445i −0.0651357 0.578095i
\(518\) 17.1322 + 12.1166i 0.752746 + 0.532374i
\(519\) 14.3044 11.4073i 0.627891 0.500727i
\(520\) −3.18522 + 13.6468i −0.139681 + 0.598452i
\(521\) 21.6265 12.4861i 0.947476 0.547025i 0.0551798 0.998476i \(-0.482427\pi\)
0.892296 + 0.451451i \(0.149093\pi\)
\(522\) −6.35843 + 2.77416i −0.278301 + 0.121421i
\(523\) −1.86682 3.53220i −0.0816304 0.154452i 0.839921 0.542709i \(-0.182601\pi\)
−0.921551 + 0.388257i \(0.873077\pi\)
\(524\) 8.68128 + 4.18068i 0.379243 + 0.182634i
\(525\) −6.81557 + 12.0945i −0.297456 + 0.527845i
\(526\) 6.17906 2.97568i 0.269420 0.129746i
\(527\) −5.75668 4.24863i −0.250765 0.185073i
\(528\) 0.102057 + 0.539382i 0.00444144 + 0.0234736i
\(529\) −4.72269 5.08985i −0.205334 0.221298i
\(530\) −12.0648 + 14.9776i −0.524060 + 0.650586i
\(531\) −25.7473 5.87665i −1.11734 0.255025i
\(532\) −2.11995 10.0832i −0.0919113 0.437162i
\(533\) −11.3829 7.15232i −0.493046 0.309802i
\(534\) −4.97837 + 5.36541i −0.215435 + 0.232184i
\(535\) 20.2776 + 15.1196i 0.876676 + 0.653676i
\(536\) −41.7387 + 12.8747i −1.80284 + 0.556101i
\(537\) −7.42678 8.63008i −0.320489 0.372415i
\(538\) −18.3453 18.3453i −0.790923 0.790923i
\(539\) −6.76768 + 15.6419i −0.291505 + 0.673745i
\(540\) 12.0373 + 6.43756i 0.518004 + 0.277029i
\(541\) 3.26508 43.5694i 0.140377 1.87319i −0.272157 0.962253i \(-0.587737\pi\)
0.412534 0.910942i \(-0.364644\pi\)
\(542\) 5.55762 10.5155i 0.238720 0.451680i
\(543\) 20.7793 15.3358i 0.891724 0.658123i
\(544\) −14.5820 13.5301i −0.625196 0.580097i
\(545\) −25.7922 + 14.7231i −1.10482 + 0.630668i
\(546\) 3.79328 + 3.92585i 0.162337 + 0.168011i
\(547\) −3.70477 + 2.32786i −0.158405 + 0.0995322i −0.608902 0.793246i \(-0.708390\pi\)
0.450497 + 0.892778i \(0.351247\pi\)
\(548\) 2.30997 12.2085i 0.0986771 0.521521i
\(549\) 10.2729 9.53189i 0.438438 0.406811i
\(550\) −7.68286 7.83492i −0.327598 0.334082i
\(551\) −1.98124 13.1447i −0.0844038 0.559983i
\(552\) 3.99046 11.4041i 0.169845 0.485390i
\(553\) −9.87474 26.4891i −0.419917 1.12643i
\(554\) −2.56154 + 5.31909i −0.108829 + 0.225986i
\(555\) 0.101164 20.6471i 0.00429419 0.876420i
\(556\) −13.4249 5.26887i −0.569341 0.223450i
\(557\) 4.11011 15.3391i 0.174151 0.649940i −0.822544 0.568702i \(-0.807446\pi\)
0.996695 0.0812385i \(-0.0258875\pi\)
\(558\) 3.30162 0.884667i 0.139769 0.0374509i
\(559\) 7.97819 + 10.0043i 0.337442 + 0.423138i
\(560\) 0.161655 + 1.26072i 0.00683116 + 0.0532754i
\(561\) 5.70708 7.15645i 0.240953 0.302146i
\(562\) 10.3581 23.7410i 0.436930 1.00145i
\(563\) −14.8617 + 17.2696i −0.626345 + 0.727826i −0.978070 0.208278i \(-0.933214\pi\)
0.351725 + 0.936103i \(0.385595\pi\)
\(564\) 6.75151 0.505956i 0.284290 0.0213046i
\(565\) −8.19329 0.963838i −0.344694 0.0405490i
\(566\) 6.92368 + 5.52145i 0.291024 + 0.232084i
\(567\) −0.696755 + 0.386474i −0.0292610 + 0.0162304i
\(568\) 13.7709 + 1.55160i 0.577813 + 0.0651039i
\(569\) 11.1700 + 6.44899i 0.468270 + 0.270356i 0.715515 0.698597i \(-0.246192\pi\)
−0.247245 + 0.968953i \(0.579525\pi\)
\(570\) 4.74307 5.06185i 0.198665 0.212017i
\(571\) 11.6018 29.5610i 0.485521 1.23709i −0.452889 0.891567i \(-0.649607\pi\)
0.938411 0.345522i \(-0.112298\pi\)
\(572\) 5.57569 2.94684i 0.233131 0.123214i
\(573\) −4.95480 14.1600i −0.206990 0.591543i
\(574\) −14.3930 2.98017i −0.600753 0.124390i
\(575\) 4.99565 + 19.4026i 0.208333 + 0.809143i
\(576\) 10.2038 1.53798i 0.425159 0.0640825i
\(577\) −31.6354 + 5.98575i −1.31700 + 0.249190i −0.796483 0.604661i \(-0.793309\pi\)
−0.520517 + 0.853851i \(0.674261\pi\)
\(578\) −0.140417 + 3.75273i −0.00584058 + 0.156093i
\(579\) −17.7678 + 12.1139i −0.738405 + 0.503436i
\(580\) −0.751732 10.7368i −0.0312140 0.445823i
\(581\) 3.00712 8.14258i 0.124756 0.337811i
\(582\) 2.48468 3.95434i 0.102993 0.163913i
\(583\) 23.2160 0.868683i 0.961510 0.0359772i
\(584\) −3.47828 0.524266i −0.143932 0.0216943i
\(585\) −1.76623 + 9.09071i −0.0730248 + 0.375855i
\(586\) 23.6243 + 1.77040i 0.975913 + 0.0731345i
\(587\) 18.1200 18.1200i 0.747891 0.747891i −0.226192 0.974083i \(-0.572628\pi\)
0.974083 + 0.226192i \(0.0726277\pi\)
\(588\) −7.87102 3.76090i −0.324595 0.155097i
\(589\) 6.54974i 0.269877i
\(590\) −15.0316 + 23.6645i −0.618842 + 0.974253i
\(591\) −1.96967 6.38551i −0.0810213 0.262665i
\(592\) −1.12256 1.52101i −0.0461368 0.0625132i
\(593\) 0.310144 + 8.28879i 0.0127361 + 0.340380i 0.991070 + 0.133345i \(0.0425718\pi\)
−0.978334 + 0.207035i \(0.933619\pi\)
\(594\) 2.51056 + 10.9995i 0.103009 + 0.451314i
\(595\) 14.1757 15.7554i 0.581148 0.645908i
\(596\) 3.22564 14.1324i 0.132127 0.578887i
\(597\) 12.6281 + 2.38936i 0.516833 + 0.0977901i
\(598\) 7.87296 + 0.294586i 0.321949 + 0.0120465i
\(599\) −1.39873 + 2.05156i −0.0571506 + 0.0838246i −0.853750 0.520683i \(-0.825678\pi\)
0.796600 + 0.604507i \(0.206630\pi\)
\(600\) 11.1514 10.1455i 0.455255 0.414187i
\(601\) −5.20976 10.8182i −0.212511 0.441283i 0.767279 0.641313i \(-0.221610\pi\)
−0.979790 + 0.200031i \(0.935896\pi\)
\(602\) 11.9942 + 7.20227i 0.488848 + 0.293542i
\(603\) −27.2450 + 9.53344i −1.10950 + 0.388232i
\(604\) −2.21488 + 7.18046i −0.0901222 + 0.292169i
\(605\) 0.902944 11.3054i 0.0367099 0.459629i
\(606\) −5.38151 9.32105i −0.218609 0.378642i
\(607\) 6.13329 + 22.8897i 0.248942 + 0.929066i 0.971361 + 0.237610i \(0.0763639\pi\)
−0.722418 + 0.691456i \(0.756969\pi\)
\(608\) −2.03888 + 18.0956i −0.0826875 + 0.733872i
\(609\) −9.85842 5.42891i −0.399484 0.219991i
\(610\) −5.88212 13.6642i −0.238160 0.553248i
\(611\) 4.32944 + 11.0312i 0.175150 + 0.446276i
\(612\) −6.12238 5.26873i −0.247482 0.212976i
\(613\) 36.1661 + 31.1235i 1.46074 + 1.25707i 0.904797 + 0.425844i \(0.140023\pi\)
0.555940 + 0.831222i \(0.312358\pi\)
\(614\) −0.117769 0.300070i −0.00475277 0.0121099i
\(615\) 5.71844 + 13.2840i 0.230590 + 0.535663i
\(616\) 12.3118 13.8193i 0.496056 0.556797i
\(617\) 1.14224 10.1377i 0.0459849 0.408128i −0.949541 0.313642i \(-0.898451\pi\)
0.995526 0.0944855i \(-0.0301206\pi\)
\(618\) −3.19435 11.9215i −0.128496 0.479552i
\(619\) 10.3464 + 17.9205i 0.415858 + 0.720286i 0.995518 0.0945716i \(-0.0301481\pi\)
−0.579660 + 0.814858i \(0.696815\pi\)
\(620\) −0.422211 + 5.28632i −0.0169564 + 0.212304i
\(621\) 6.07187 19.6845i 0.243656 0.789913i
\(622\) −3.65625 + 1.27938i −0.146602 + 0.0512983i
\(623\) 20.3851 + 1.88016i 0.816711 + 0.0753271i
\(624\) −0.213382 0.443092i −0.00854210 0.0177379i
\(625\) −6.03960 + 24.2595i −0.241584 + 0.970380i
\(626\) 1.71947 2.52200i 0.0687240 0.100800i
\(627\) −8.37358 0.313317i −0.334409 0.0125127i
\(628\) −6.96950 1.31870i −0.278113 0.0526219i
\(629\) −7.01414 + 30.7310i −0.279672 + 1.22532i
\(630\) 1.66236 + 9.98776i 0.0662300 + 0.397922i
\(631\) 7.21928 + 31.6297i 0.287395 + 1.25916i 0.888086 + 0.459678i \(0.152035\pi\)
−0.600691 + 0.799481i \(0.705108\pi\)
\(632\) 1.14791 + 30.6784i 0.0456612 + 1.22032i
\(633\) −12.0991 16.3937i −0.480898 0.651593i
\(634\) 2.01156 + 6.52132i 0.0798893 + 0.258995i
\(635\) −7.76798 + 12.2293i −0.308263 + 0.485303i
\(636\) 11.8912i 0.471516i
\(637\) 2.22953 15.1050i 0.0883373 0.598482i
\(638\) 6.29029 6.29029i 0.249035 0.249035i
\(639\) 9.13227 + 0.684369i 0.361267 + 0.0270732i
\(640\) −2.64689 + 13.6234i −0.104628 + 0.538512i
\(641\) 15.1385 + 2.28177i 0.597936 + 0.0901244i 0.441035 0.897490i \(-0.354611\pi\)
0.156901 + 0.987614i \(0.449850\pi\)
\(642\) −10.6928 + 0.400097i −0.422012 + 0.0157906i
\(643\) 9.23696 14.7005i 0.364270 0.579732i −0.613427 0.789751i \(-0.710210\pi\)
0.977697 + 0.210019i \(0.0673525\pi\)
\(644\) −11.9527 + 3.95340i −0.471002 + 0.155786i
\(645\) −0.961468 13.7325i −0.0378578 0.540715i
\(646\) −8.74991 + 5.96559i −0.344261 + 0.234713i
\(647\) −0.488992 + 13.0686i −0.0192243 + 0.513779i 0.956105 + 0.293024i \(0.0946617\pi\)
−0.975329 + 0.220755i \(0.929148\pi\)
\(648\) 0.850165 0.160860i 0.0333977 0.00631918i
\(649\) 33.4872 5.04738i 1.31449 0.198127i
\(650\) 8.46507 + 4.99854i 0.332027 + 0.196059i
\(651\) 4.40446 + 3.36898i 0.172624 + 0.132041i
\(652\) −6.23353 17.8144i −0.244124 0.697666i
\(653\) 40.8396 21.5844i 1.59818 0.844662i 0.599148 0.800638i \(-0.295506\pi\)
0.999030 0.0440236i \(-0.0140177\pi\)
\(654\) 4.59002 11.6952i 0.179484 0.457318i
\(655\) 12.4059 13.2396i 0.484737 0.517315i
\(656\) 1.14674 + 0.662070i 0.0447726 + 0.0258495i
\(657\) −2.30992 0.260265i −0.0901185 0.0101539i
\(658\) 8.64834 + 9.64779i 0.337147 + 0.376110i
\(659\) −30.6820 24.4681i −1.19520 0.953140i −0.195579 0.980688i \(-0.562659\pi\)
−0.999620 + 0.0275477i \(0.991230\pi\)
\(660\) −6.73815 0.792660i −0.262282 0.0308542i
\(661\) 15.2547 1.14318i 0.593340 0.0444646i 0.225323 0.974284i \(-0.427656\pi\)
0.368016 + 0.929819i \(0.380037\pi\)
\(662\) −9.99070 + 11.6094i −0.388300 + 0.451212i
\(663\) −3.27927 + 7.51616i −0.127356 + 0.291903i
\(664\) −5.87716 + 7.36973i −0.228078 + 0.286001i
\(665\) −19.3108 1.87655i −0.748843 0.0727694i
\(666\) −9.38908 11.7735i −0.363819 0.456215i
\(667\) −15.6889 + 4.20382i −0.607475 + 0.162772i
\(668\) 0.674455 2.51710i 0.0260954 0.0973895i
\(669\) 25.8910 + 10.1615i 1.00100 + 0.392865i
\(670\) −0.150132 + 30.6411i −0.00580010 + 1.18377i
\(671\) −7.79706 + 16.1908i −0.301002 + 0.625038i
\(672\) 11.1199 + 10.6789i 0.428959 + 0.411947i
\(673\) 5.17333 14.7845i 0.199417 0.569901i −0.800135 0.599820i \(-0.795239\pi\)
0.999552 + 0.0299183i \(0.00952470\pi\)
\(674\) −1.63674 10.8590i −0.0630448 0.418275i
\(675\) 18.3528 17.9966i 0.706401 0.692691i
\(676\) 7.17483 6.65727i 0.275955 0.256049i
\(677\) −0.546005 + 2.88570i −0.0209847 + 0.110907i −0.991493 0.130162i \(-0.958450\pi\)
0.970508 + 0.241069i \(0.0774979\pi\)
\(678\) 2.95505 1.85678i 0.113488 0.0713092i
\(679\) −13.0033 + 1.23940i −0.499019 + 0.0475638i
\(680\) −19.9884 + 11.4101i −0.766518 + 0.437556i
\(681\) 9.83538 + 9.12590i 0.376893 + 0.349705i
\(682\) −3.52663 + 2.60277i −0.135042 + 0.0996653i
\(683\) −12.1671 + 23.0213i −0.465563 + 0.880887i 0.533815 + 0.845601i \(0.320758\pi\)
−0.999377 + 0.0352859i \(0.988766\pi\)
\(684\) −0.552577 + 7.37363i −0.0211283 + 0.281938i
\(685\) −20.6314 11.0337i −0.788287 0.421576i
\(686\) −3.48464 16.3262i −0.133044 0.623337i
\(687\) −3.17208 3.17208i −0.121022 0.121022i
\(688\) −0.822127 0.955328i −0.0313433 0.0364216i
\(689\) −19.8886 + 6.13483i −0.757697 + 0.233718i
\(690\) −6.79481 5.06641i −0.258674 0.192875i
\(691\) −3.23269 + 3.48401i −0.122977 + 0.132538i −0.791539 0.611119i \(-0.790720\pi\)
0.668562 + 0.743657i \(0.266910\pi\)
\(692\) 17.5298 + 11.0147i 0.666383 + 0.418716i
\(693\) 7.78892 9.43015i 0.295877 0.358222i
\(694\) 13.9029 + 3.17326i 0.527749 + 0.120455i
\(695\) −17.0355 + 21.1484i −0.646193 + 0.802206i
\(696\) 8.31294 + 8.95922i 0.315101 + 0.339598i
\(697\) −4.10479 21.6943i −0.155480 0.821731i
\(698\) −10.0672 7.42997i −0.381051 0.281228i
\(699\) −15.3375 + 7.38616i −0.580118 + 0.279370i
\(700\) −15.4649 2.75939i −0.584518 0.104295i
\(701\) −10.6535 5.13046i −0.402377 0.193775i 0.221739 0.975106i \(-0.428827\pi\)
−0.624117 + 0.781331i \(0.714541\pi\)
\(702\) −4.72297 8.93630i −0.178257 0.337279i
\(703\) 26.4482 11.5392i 0.997513 0.435210i
\(704\) −11.4596 + 6.61620i −0.431900 + 0.249357i
\(705\) 2.89773 12.4151i 0.109135 0.467579i
\(706\) 6.92583 5.52317i 0.260657 0.207867i
\(707\) −11.4776 + 27.8297i −0.431661 + 1.04664i
\(708\) 1.94075 + 17.2247i 0.0729379 + 0.647342i
\(709\) −39.7035 + 15.5825i −1.49110 + 0.585212i −0.964308 0.264784i \(-0.914699\pi\)
−0.526788 + 0.849996i \(0.676604\pi\)
\(710\) 3.93118 8.89125i 0.147535 0.333683i
\(711\) 1.51609 + 20.2309i 0.0568580 + 0.758717i
\(712\) −20.3764 8.89012i −0.763637 0.333171i
\(713\) 7.95250 0.896031i 0.297823 0.0335566i
\(714\) −0.489043 + 8.95251i −0.0183020 + 0.335039i
\(715\) −2.15054 11.6789i −0.0804258 0.436765i
\(716\) 6.44187 11.1576i 0.240744 0.416981i
\(717\) 16.8032 + 4.50239i 0.627525 + 0.168145i
\(718\) −6.55249 15.0185i −0.244537 0.560484i
\(719\) 36.8327 + 11.3614i 1.37363 + 0.423708i 0.891749 0.452529i \(-0.149478\pi\)
0.481879 + 0.876238i \(0.339954\pi\)
\(720\) 0.140367 0.901289i 0.00523118 0.0335891i
\(721\) −20.9725 + 27.4186i −0.781058 + 1.02112i
\(722\) −7.01476 2.45457i −0.261062 0.0913497i
\(723\) −8.14133 + 11.0311i −0.302779 + 0.410252i
\(724\) 24.1456 + 16.4622i 0.897363 + 0.611812i
\(725\) −19.7138 4.70324i −0.732151 0.174674i
\(726\) 2.70272 + 3.96416i 0.100307 + 0.147124i
\(727\) 22.6104 + 35.9842i 0.838572 + 1.33458i 0.940502 + 0.339789i \(0.110356\pi\)
−0.101929 + 0.994792i \(0.532502\pi\)
\(728\) −7.44974 + 14.8133i −0.276106 + 0.549019i
\(729\) −15.2216 + 3.47423i −0.563763 + 0.128675i
\(730\) −1.08154 + 2.21797i −0.0400295 + 0.0820907i
\(731\) −3.13227 + 20.7813i −0.115851 + 0.768623i
\(732\) −8.13204 4.29791i −0.300569 0.158855i
\(733\) −24.9862 + 21.5024i −0.922888 + 0.794209i −0.978925 0.204219i \(-0.934534\pi\)
0.0560370 + 0.998429i \(0.482154\pi\)
\(734\) −28.3795 −1.04750
\(735\) −11.1948 + 12.0206i −0.412927 + 0.443387i
\(736\) 22.2500 0.820147
\(737\) 28.0556 24.1438i 1.03344 0.889348i
\(738\) 9.32574 + 4.92879i 0.343285 + 0.181431i
\(739\) 5.78429 38.3763i 0.212779 1.41169i −0.586119 0.810225i \(-0.699345\pi\)
0.798897 0.601468i \(-0.205417\pi\)
\(740\) 22.0903 7.60845i 0.812055 0.279692i
\(741\) 7.31875 1.67046i 0.268861 0.0613658i
\(742\) −18.0325 + 13.8806i −0.661994 + 0.509574i
\(743\) −5.72827 9.11649i −0.210150 0.334451i 0.724972 0.688779i \(-0.241853\pi\)
−0.935122 + 0.354327i \(0.884710\pi\)
\(744\) −3.39224 4.97550i −0.124365 0.182411i
\(745\) −23.5717 13.7636i −0.863601 0.504258i
\(746\) 3.75046 + 2.55702i 0.137314 + 0.0936193i
\(747\) −3.69903 + 5.01200i −0.135340 + 0.183380i
\(748\) 9.77649 + 3.42094i 0.357464 + 0.125082i
\(749\) 19.1294 + 23.0166i 0.698971 + 0.841007i
\(750\) −4.44819 9.59503i −0.162425 0.350361i
\(751\) 23.5201 + 7.25500i 0.858262 + 0.264739i 0.692492 0.721426i \(-0.256513\pi\)
0.165770 + 0.986164i \(0.446989\pi\)
\(752\) −0.466767 1.06984i −0.0170213 0.0390131i
\(753\) −23.1393 6.20016i −0.843243 0.225946i
\(754\) −3.98479 + 6.90185i −0.145117 + 0.251351i
\(755\) 11.6517 + 8.02787i 0.424047 + 0.292164i
\(756\) 12.0598 + 10.7442i 0.438609 + 0.390762i
\(757\) −13.6048 + 1.53289i −0.494473 + 0.0557138i −0.355680 0.934608i \(-0.615751\pi\)
−0.138793 + 0.990321i \(0.544322\pi\)
\(758\) −6.81258 2.97230i −0.247444 0.107959i
\(759\) 0.765120 + 10.2098i 0.0277721 + 0.370593i
\(760\) 19.2700 + 8.52006i 0.698998 + 0.309055i
\(761\) 2.36659 0.928820i 0.0857890 0.0336697i −0.322058 0.946720i \(-0.604375\pi\)
0.407847 + 0.913050i \(0.366280\pi\)
\(762\) −0.686219 6.09036i −0.0248591 0.220630i
\(763\) −33.7516 + 9.77953i −1.22189 + 0.354043i
\(764\) 13.2721 10.5841i 0.480167 0.382920i
\(765\) −12.9179 + 8.02882i −0.467046 + 0.290282i
\(766\) 16.0172 9.24751i 0.578724 0.334126i
\(767\) −27.8079 + 12.1325i −1.00408 + 0.438078i
\(768\) −8.07343 15.2757i −0.291325 0.551213i
\(769\) 2.11058 + 1.01640i 0.0761094 + 0.0366524i 0.471551 0.881839i \(-0.343694\pi\)
−0.395442 + 0.918491i \(0.629409\pi\)
\(770\) −6.66345 11.1434i −0.240134 0.401581i
\(771\) −15.4513 + 7.44096i −0.556465 + 0.267979i
\(772\) −19.5788 14.4498i −0.704658 0.520061i
\(773\) −6.31554 33.3784i −0.227154 1.20054i −0.891468 0.453084i \(-0.850324\pi\)
0.664314 0.747454i \(-0.268724\pi\)
\(774\) −6.82903 7.35995i −0.245464 0.264548i
\(775\) 9.25938 + 3.73916i 0.332607 + 0.134315i
\(776\) 13.8293 + 3.15646i 0.496444 + 0.113310i
\(777\) 5.84443 23.7209i 0.209668 0.850982i
\(778\) −19.4188 12.2017i −0.696199 0.437451i
\(779\) −13.7478 + 14.8166i −0.492567 + 0.530861i
\(780\) 6.01467 0.876449i 0.215360 0.0313819i
\(781\) −11.2216 + 3.46142i −0.401542 + 0.123859i
\(782\) 8.44026 + 9.80776i 0.301823 + 0.350725i
\(783\) 14.7346 + 14.7346i 0.526573 + 0.526573i
\(784\) −0.163819 + 1.49497i −0.00585067 + 0.0533919i
\(785\) −6.29883 + 11.7779i −0.224815 + 0.420372i
\(786\) −0.573589 + 7.65401i −0.0204592 + 0.273010i
\(787\) −9.83843 + 18.6152i −0.350702 + 0.663561i −0.994852 0.101339i \(-0.967687\pi\)
0.644150 + 0.764899i \(0.277211\pi\)
\(788\) 6.08402 4.49021i 0.216734 0.159957i
\(789\) −5.85314 5.43092i −0.208377 0.193346i
\(790\) 20.7749 + 5.67587i 0.739139 + 0.201938i
\(791\) −9.15679 3.38168i −0.325578 0.120239i
\(792\) −11.2464 + 7.06658i −0.399623 + 0.251100i
\(793\) 2.99305 15.8186i 0.106286 0.561736i
\(794\) 19.1552 17.7734i 0.679792 0.630754i
\(795\) 21.3638 + 6.70466i 0.757695 + 0.237790i
\(796\) 2.16753 + 14.3806i 0.0768261 + 0.509708i
\(797\) 1.02795 2.93772i 0.0364120 0.104059i −0.924242 0.381807i \(-0.875302\pi\)
0.960654 + 0.277747i \(0.0895878\pi\)
\(798\) 6.85993 4.50644i 0.242839 0.159526i
\(799\) −8.44465 + 17.5355i −0.298750 + 0.620361i
\(800\) 24.4178 + 13.2129i 0.863299 + 0.467146i
\(801\) −13.6757 5.36732i −0.483207 0.189645i
\(802\) 4.05020 15.1156i 0.143018 0.533749i
\(803\) 2.87924 0.771489i 0.101606 0.0272253i
\(804\) 11.8121 + 14.8120i 0.416582 + 0.522378i
\(805\) 0.363356 + 23.7034i 0.0128066 + 0.835434i
\(806\) 2.44827 3.07004i 0.0862367 0.108137i
\(807\) −12.0788 + 27.6849i −0.425194 + 0.974556i
\(808\) 21.3241 24.7790i 0.750178 0.871723i
\(809\) 20.4402 1.53178i 0.718640 0.0538546i 0.289610 0.957145i \(-0.406474\pi\)
0.429030 + 0.903290i \(0.358855\pi\)
\(810\) 0.0709150 0.602826i 0.00249170 0.0211811i
\(811\) 23.5099 + 18.7485i 0.825544 + 0.658349i 0.942285 0.334813i \(-0.108673\pi\)
−0.116741 + 0.993162i \(0.537245\pi\)
\(812\) 2.11403 12.5584i 0.0741878 0.440714i
\(813\) −13.7602 1.55040i −0.482590 0.0543749i
\(814\) 16.7233 + 9.65520i 0.586151 + 0.338415i
\(815\) −35.5202 + 1.15482i −1.24422 + 0.0404517i
\(816\) 0.295092 0.751881i 0.0103303 0.0263211i
\(817\) 17.0094 8.98974i 0.595084 0.314511i
\(818\) −0.168553 0.481697i −0.00589332 0.0168421i
\(819\) −4.55359 + 9.96643i −0.159115 + 0.348255i
\(820\) −12.0510 + 11.0723i −0.420840 + 0.386663i
\(821\) 28.1464 4.24239i 0.982316 0.148060i 0.361801 0.932255i \(-0.382162\pi\)
0.620515 + 0.784195i \(0.286924\pi\)
\(822\) 9.72510 1.84009i 0.339202 0.0641804i
\(823\) 0.158992 4.24916i 0.00554212 0.148116i −0.993782 0.111347i \(-0.964484\pi\)
0.999324 0.0367698i \(-0.0117068\pi\)
\(824\) 30.9734 21.1173i 1.07901 0.735656i
\(825\) −5.22331 + 11.6589i −0.181852 + 0.405910i
\(826\) −23.8550 + 23.0495i −0.830023 + 0.801995i
\(827\) −10.0532 + 15.9996i −0.349584 + 0.556360i −0.974516 0.224320i \(-0.927984\pi\)
0.624931 + 0.780680i \(0.285127\pi\)
\(828\) 9.02844 0.337820i 0.313760 0.0117401i
\(829\) −32.8594 4.95275i −1.14125 0.172016i −0.448905 0.893580i \(-0.648186\pi\)
−0.692348 + 0.721563i \(0.743424\pi\)
\(830\) 3.69821 + 5.48179i 0.128367 + 0.190276i
\(831\) 6.85414 + 0.513647i 0.237767 + 0.0178182i
\(832\) 8.38249 8.38249i 0.290611 0.290611i
\(833\) 20.6763 14.1896i 0.716393 0.491642i
\(834\) 11.4882i 0.397802i
\(835\) −4.14196 2.63096i −0.143338 0.0910481i
\(836\) −2.79484 9.06064i −0.0966615 0.313369i
\(837\) −6.09684 8.26092i −0.210737 0.285539i
\(838\) 1.23290 + 32.9498i 0.0425897 + 1.13823i
\(839\) 4.09479 + 17.9405i 0.141368 + 0.619373i 0.995118 + 0.0986905i \(0.0314654\pi\)
−0.853750 + 0.520683i \(0.825677\pi\)
\(840\) 15.6414 8.57595i 0.539678 0.295898i
\(841\) −2.79706 + 12.2547i −0.0964504 + 0.422577i
\(842\) −27.1373 5.13466i −0.935214 0.176952i
\(843\) −30.1353 1.12758i −1.03791 0.0388360i
\(844\) 12.9878 19.0496i 0.447058 0.655713i
\(845\) −7.91508 16.6439i −0.272287 0.572569i
\(846\) −4.03433 8.37737i −0.138703 0.288020i
\(847\) 4.17501 12.7533i 0.143455 0.438208i
\(848\) 1.93501 0.677090i 0.0664486 0.0232514i
\(849\) 3.03897 9.85210i 0.104297 0.338123i
\(850\) 3.43836 + 15.7754i 0.117935 + 0.541093i
\(851\) −17.6288 30.5340i −0.604308 1.04669i
\(852\) −1.55568 5.80589i −0.0532969 0.198907i
\(853\) −4.46129 + 39.5951i −0.152752 + 1.35571i 0.650244 + 0.759725i \(0.274667\pi\)
−0.802996 + 0.595984i \(0.796762\pi\)
\(854\) −2.97497 17.3489i −0.101801 0.593667i
\(855\) 12.9360 + 5.15028i 0.442401 + 0.176136i
\(856\) −11.8738 30.2541i −0.405840 1.03406i
\(857\) −29.0365 24.9879i −0.991867 0.853571i −0.00264569 0.999997i \(-0.500842\pi\)
−0.989222 + 0.146426i \(0.953223\pi\)
\(858\) 3.80780 + 3.27688i 0.129996 + 0.111871i
\(859\) 13.6281 + 34.7237i 0.464983 + 1.18476i 0.950554 + 0.310561i \(0.100517\pi\)
−0.485570 + 0.874198i \(0.661388\pi\)
\(860\) 14.3079 6.15919i 0.487894 0.210027i
\(861\) 2.89219 + 16.8661i 0.0985656 + 0.574796i
\(862\) −2.10427 + 18.6760i −0.0716719 + 0.636105i
\(863\) −10.2202 38.1424i −0.347901 1.29838i −0.889187 0.457544i \(-0.848729\pi\)
0.541286 0.840838i \(-0.317938\pi\)
\(864\) −14.2727 24.7211i −0.485568 0.841029i
\(865\) 29.6730 25.2837i 1.00891 0.859672i
\(866\) −5.95674 + 19.3113i −0.202418 + 0.656224i
\(867\) 4.12677 1.44402i 0.140152 0.0490415i
\(868\) −1.95221 + 5.96336i −0.0662623 + 0.202410i
\(869\) −11.2876 23.4389i −0.382906 0.795112i
\(870\) 7.74281 3.68211i 0.262506 0.124835i
\(871\) −18.6798 + 27.3982i −0.632939 + 0.928351i
\(872\) 38.1337 + 1.42686i 1.29137 + 0.0483197i
\(873\) 9.21053 + 1.74273i 0.311729 + 0.0589824i
\(874\) 2.63584 11.5483i 0.0891584 0.390629i
\(875\) −13.6772 + 26.2285i −0.462373 + 0.886685i
\(876\) 0.339498 + 1.48744i 0.0114706 + 0.0502559i
\(877\) −0.224539 6.00094i −0.00758216 0.202637i −0.997942 0.0641202i \(-0.979576\pi\)
0.990360 0.138517i \(-0.0442336\pi\)
\(878\) 6.25685 + 8.47773i 0.211158 + 0.286109i
\(879\) −8.12978 26.3561i −0.274211 0.888969i
\(880\) 0.254687 + 1.14161i 0.00858551 + 0.0384838i
\(881\) 24.0485i 0.810215i −0.914269 0.405107i \(-0.867234\pi\)
0.914269 0.405107i \(-0.132766\pi\)
\(882\) −0.858777 + 11.9494i −0.0289165 + 0.402358i
\(883\) 11.9122 11.9122i 0.400879 0.400879i −0.477664 0.878543i \(-0.658516\pi\)
0.878543 + 0.477664i \(0.158516\pi\)
\(884\) −9.25333 0.693441i −0.311223 0.0233230i
\(885\) 32.0402 + 6.22509i 1.07702 + 0.209254i
\(886\) 25.5941 + 3.85770i 0.859852 + 0.129602i
\(887\) 54.2110 2.02843i 1.82023 0.0681080i 0.894672 0.446724i \(-0.147409\pi\)
0.925554 + 0.378616i \(0.123600\pi\)
\(888\) −14.1149 + 22.4638i −0.473666 + 0.753836i
\(889\) −12.3277 + 11.9114i −0.413458 + 0.399497i
\(890\) −10.2306 + 11.7710i −0.342929 + 0.394564i
\(891\) −0.605813 + 0.413036i −0.0202955 + 0.0138372i
\(892\) −1.17681 + 31.4510i −0.0394026 + 1.05306i
\(893\) 17.5065 3.31242i 0.585834 0.110846i
\(894\) 11.4182 1.72102i 0.381882 0.0575595i
\(895\) −16.4138 17.8646i −0.548652 0.597147i
\(896\) −6.82404 + 14.9357i −0.227975 + 0.498968i
\(897\) −3.02946 8.65769i −0.101151 0.289072i
\(898\) −26.6932 + 14.1078i −0.890764 + 0.470782i
\(899\) −2.95757 + 7.53575i −0.0986403 + 0.251332i
\(900\) 10.1087 + 4.99069i 0.336956 + 0.166356i
\(901\) −29.6037 17.0917i −0.986244 0.569408i
\(902\) −13.4410 1.51444i −0.447537 0.0504253i
\(903\) 2.70385 16.0623i 0.0899784 0.534519i
\(904\) 8.28767 + 6.60920i 0.275644 + 0.219819i
\(905\) 43.1902 34.0982i 1.43569 1.13346i
\(906\) −5.96904 + 0.447318i −0.198308 + 0.0148611i
\(907\) 4.64277 5.39500i 0.154161 0.179138i −0.675581 0.737286i \(-0.736107\pi\)
0.829741 + 0.558148i \(0.188488\pi\)
\(908\) −6.07127 + 13.9155i −0.201482 + 0.461802i
\(909\) 13.4696 16.8903i 0.446758 0.560217i
\(910\) 8.35006 + 8.09793i 0.276802 + 0.268444i
\(911\) −10.9700 13.7560i −0.363453 0.455756i 0.566159 0.824296i \(-0.308429\pi\)
−0.929612 + 0.368541i \(0.879858\pi\)
\(912\) −0.714221 + 0.191375i −0.0236502 + 0.00633706i
\(913\) 2.06741 7.71567i 0.0684212 0.255352i
\(914\) 9.33150 + 3.66234i 0.308658 + 0.121140i
\(915\) −12.3068 + 12.1868i −0.406850 + 0.402882i
\(916\) 2.20248 4.57350i 0.0727720 0.151113i
\(917\) 17.9426 11.7869i 0.592518 0.389239i
\(918\) 5.48283 15.6690i 0.180960 0.517155i
\(919\) −1.45372 9.64480i −0.0479538 0.318153i −0.999928 0.0119754i \(-0.996188\pi\)
0.951974 0.306177i \(-0.0990501\pi\)
\(920\) 7.70859 24.5627i 0.254145 0.809808i
\(921\) −0.275111 + 0.255266i −0.00906522 + 0.00841130i
\(922\) 4.41810 23.3502i 0.145502 0.768999i
\(923\) 8.90807 5.59731i 0.293213 0.184238i
\(924\) −7.53053 2.78109i −0.247736 0.0914911i
\(925\) −1.21411 43.9775i −0.0399198 1.44597i
\(926\) −5.77839 5.36156i −0.189890 0.176192i
\(927\) 19.9322 14.7106i 0.654660 0.483161i
\(928\) −10.5170 + 19.8991i −0.345236 + 0.653219i
\(929\) 0.541549 7.22647i 0.0177676 0.237093i −0.981249 0.192747i \(-0.938260\pi\)
0.999016 0.0443462i \(-0.0141205\pi\)
\(930\) −4.04278 + 1.22537i −0.132568 + 0.0401815i
\(931\) −21.6914 7.51582i −0.710905 0.246321i
\(932\) −13.6211 13.6211i −0.446172 0.446172i
\(933\) 2.94169 + 3.41831i 0.0963067 + 0.111910i
\(934\) −18.0843 + 5.57828i −0.591738 + 0.182527i
\(935\) 11.6584 15.6357i 0.381271 0.511341i
\(936\) 8.09357 8.72279i 0.264547 0.285113i
\(937\) 43.7543 + 27.4926i 1.42939 + 0.898145i 0.999988 0.00496794i \(-0.00158135\pi\)
0.429402 + 0.903113i \(0.358724\pi\)
\(938\) −8.67336 + 35.2027i −0.283195 + 1.14941i
\(939\) −3.46461 0.790774i −0.113063 0.0258059i
\(940\) 14.3431 1.54495i 0.467821 0.0503908i
\(941\) −12.7238 13.7130i −0.414784 0.447031i 0.490752 0.871299i \(-0.336722\pi\)
−0.905537 + 0.424268i \(0.860531\pi\)
\(942\) −1.05046 5.55179i −0.0342257 0.180887i
\(943\) 19.8707 + 14.6652i 0.647078 + 0.477565i
\(944\) 2.69241 1.29659i 0.0876303 0.0422005i
\(945\) 26.1028 15.6087i 0.849123 0.507752i
\(946\) 11.5997 + 5.58613i 0.377139 + 0.181621i
\(947\) −13.1968 24.9695i −0.428837 0.811399i 0.571118 0.820868i \(-0.306510\pi\)
−0.999955 + 0.00946873i \(0.996986\pi\)
\(948\) 12.2046 5.32481i 0.396387 0.172942i
\(949\) −2.31267 + 1.33522i −0.0750725 + 0.0433431i
\(950\) 9.75047 11.1082i 0.316347 0.360398i
\(951\) 6.21193 4.95385i 0.201436 0.160639i
\(952\) −26.1567 + 7.57892i −0.847744 + 0.245634i
\(953\) −4.28474 38.0281i −0.138796 1.23185i −0.849206 0.528062i \(-0.822919\pi\)
0.710410 0.703789i \(-0.248510\pi\)
\(954\) 15.2019 5.96629i 0.492178 0.193166i
\(955\) −11.5323 29.8124i −0.373175 0.964707i
\(956\) 1.47103 + 19.6296i 0.0475766 + 0.634866i
\(957\) −9.49268 4.14162i −0.306855 0.133879i
\(958\) −16.8933 + 1.90342i −0.545798 + 0.0614967i
\(959\) −20.6699 18.4150i −0.667466 0.594652i
\(960\) −12.5425 + 2.30957i −0.404806 + 0.0745409i
\(961\) −13.5056 + 23.3925i −0.435666 + 0.754596i
\(962\) −16.7103 4.47751i −0.538762 0.144361i
\(963\) −8.58874 19.6856i −0.276768 0.634360i
\(964\) −14.8247 4.57280i −0.477470 0.147280i
\(965\) −37.0000 + 27.0282i −1.19107 + 0.870068i
\(966\) −6.41005 7.71262i −0.206240 0.248149i
\(967\) 31.1279 + 10.8921i 1.00100 + 0.350267i 0.780525 0.625125i \(-0.214952\pi\)
0.220480 + 0.975391i \(0.429238\pi\)
\(968\) −8.65361 + 11.7252i −0.278138 + 0.376863i
\(969\) 10.1870 + 6.94536i 0.327253 + 0.223117i
\(970\) 5.01763 8.59328i 0.161106 0.275914i
\(971\) −3.36764 4.93942i −0.108073 0.158514i 0.768392 0.639979i \(-0.221057\pi\)
−0.876465 + 0.481466i \(0.840105\pi\)
\(972\) −9.94342 15.8249i −0.318935 0.507583i
\(973\) −25.4619 + 19.5995i −0.816272 + 0.628331i
\(974\) −19.9164 + 4.54578i −0.638162 + 0.145656i
\(975\) 1.81665 11.3002i 0.0581793 0.361895i
\(976\) −0.236342 + 1.56803i −0.00756512 + 0.0501913i
\(977\) 3.24817 + 1.71671i 0.103918 + 0.0549223i 0.518420 0.855126i \(-0.326520\pi\)
−0.414502 + 0.910048i \(0.636044\pi\)
\(978\) 11.3956 9.80672i 0.364392 0.313584i
\(979\) 18.8389 0.602095
\(980\) −17.0227 7.46432i −0.543770 0.238439i
\(981\) 25.2178 0.805142
\(982\) 6.33797 5.45426i 0.202253 0.174052i
\(983\) −18.7075 9.88720i −0.596676 0.315353i 0.141523 0.989935i \(-0.454800\pi\)
−0.738200 + 0.674582i \(0.764324\pi\)
\(984\) 2.76969 18.3757i 0.0882945 0.585796i
\(985\) −4.63676 13.4623i −0.147740 0.428946i
\(986\) −12.7609 + 2.91260i −0.406391 + 0.0927561i
\(987\) 6.77735 13.4763i 0.215725 0.428956i
\(988\) 4.51942 + 7.19261i 0.143782 + 0.228827i
\(989\) −13.2420 19.4225i −0.421072 0.617599i
\(990\) 2.36746 + 9.01186i 0.0752428 + 0.286416i
\(991\) −0.743602 0.506980i −0.0236213 0.0161047i 0.551452 0.834207i \(-0.314074\pi\)
−0.575073 + 0.818102i \(0.695026\pi\)
\(992\) 6.58528 8.92273i 0.209083 0.283297i
\(993\) 16.8313 + 5.88951i 0.534124 + 0.186898i
\(994\) 6.98845 9.13639i 0.221660 0.289789i
\(995\) 27.0585 + 4.21410i 0.857811 + 0.133596i
\(996\) 3.90685 + 1.20510i 0.123793 + 0.0381852i
\(997\) −8.25389 18.9181i −0.261403 0.599143i 0.735522 0.677501i \(-0.236937\pi\)
−0.996925 + 0.0783581i \(0.975032\pi\)
\(998\) 16.9392 + 4.53885i 0.536202 + 0.143675i
\(999\) −22.6167 + 39.1733i −0.715562 + 1.23939i
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 245.2.x.a.222.10 yes 624
5.3 odd 4 inner 245.2.x.a.173.17 yes 624
49.17 odd 42 inner 245.2.x.a.17.17 624
245.213 even 84 inner 245.2.x.a.213.10 yes 624
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
245.2.x.a.17.17 624 49.17 odd 42 inner
245.2.x.a.173.17 yes 624 5.3 odd 4 inner
245.2.x.a.213.10 yes 624 245.213 even 84 inner
245.2.x.a.222.10 yes 624 1.1 even 1 trivial