Properties

Label 322.2.m.a.39.3
Level $322$
Weight $2$
Character 322.39
Analytic conductor $2.571$
Analytic rank $0$
Dimension $160$
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] = [322,2,Mod(9,322)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(322, base_ring=CyclotomicField(66))
 
chi = DirichletCharacter(H, H._module([22, 30]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("322.9");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 322 = 2 \cdot 7 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 322.m (of order \(33\), degree \(20\), 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: \(2.57118294509\)
Analytic rank: \(0\)
Dimension: \(160\)
Relative dimension: \(8\) over \(\Q(\zeta_{33})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{33}]$

Embedding invariants

Embedding label 39.3
Character \(\chi\) \(=\) 322.39
Dual form 322.2.m.a.289.3

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-0.981929 - 0.189251i) q^{2} +(-0.0679970 - 1.42743i) q^{3} +(0.928368 + 0.371662i) q^{4} +(-1.39707 + 1.96191i) q^{5} +(-0.203375 + 1.41451i) q^{6} +(2.62689 - 0.315333i) q^{7} +(-0.841254 - 0.540641i) q^{8} +(0.953474 - 0.0910457i) q^{9} +O(q^{10})\) \(q+(-0.981929 - 0.189251i) q^{2} +(-0.0679970 - 1.42743i) q^{3} +(0.928368 + 0.371662i) q^{4} +(-1.39707 + 1.96191i) q^{5} +(-0.203375 + 1.41451i) q^{6} +(2.62689 - 0.315333i) q^{7} +(-0.841254 - 0.540641i) q^{8} +(0.953474 - 0.0910457i) q^{9} +(1.74312 - 1.66206i) q^{10} +(-1.53464 + 0.295777i) q^{11} +(0.467397 - 1.35046i) q^{12} +(1.06533 + 0.312808i) q^{13} +(-2.63910 - 0.187508i) q^{14} +(2.89550 + 1.86082i) q^{15} +(0.723734 + 0.690079i) q^{16} +(5.47360 + 4.30448i) q^{17} +(-0.953474 - 0.0910457i) q^{18} +(3.12571 - 2.45808i) q^{19} +(-2.02617 + 1.30214i) q^{20} +(-0.628737 - 3.72827i) q^{21} +1.56288 q^{22} +(-1.90065 - 4.40313i) q^{23} +(-0.714526 + 1.23760i) q^{24} +(-0.261951 - 0.756858i) q^{25} +(-0.986876 - 0.508770i) q^{26} +(-0.804921 - 5.59835i) q^{27} +(2.55592 + 0.683572i) q^{28} +(0.543609 - 3.78088i) q^{29} +(-2.49101 - 2.37517i) q^{30} +(9.06122 - 4.67138i) q^{31} +(-0.580057 - 0.814576i) q^{32} +(0.526553 + 2.17048i) q^{33} +(-4.56005 - 5.26258i) q^{34} +(-3.05130 + 5.59428i) q^{35} +(0.919013 + 0.269846i) q^{36} +(-2.67550 + 0.255479i) q^{37} +(-3.53442 + 1.82212i) q^{38} +(0.374074 - 1.54195i) q^{39} +(2.23598 - 0.895152i) q^{40} +(-0.0356016 - 0.0779566i) q^{41} +(-0.0882048 + 3.77989i) q^{42} +(-7.17261 + 4.60955i) q^{43} +(-1.53464 - 0.295777i) q^{44} +(-1.15345 + 1.99783i) q^{45} +(1.03301 + 4.68326i) q^{46} +(3.71869 + 6.44095i) q^{47} +(0.935830 - 1.08001i) q^{48} +(6.80113 - 1.65669i) q^{49} +(0.113981 + 0.792755i) q^{50} +(5.77218 - 8.10589i) q^{51} +(0.872757 + 0.686344i) q^{52} +(-1.73232 + 7.14073i) q^{53} +(-0.269119 + 5.64951i) q^{54} +(1.56371 - 3.42405i) q^{55} +(-2.38036 - 1.15493i) q^{56} +(-3.72129 - 4.29459i) q^{57} +(-1.24932 + 3.60968i) q^{58} +(4.81029 - 4.58661i) q^{59} +(1.99649 + 2.80367i) q^{60} +(-0.423137 + 8.88273i) q^{61} +(-9.78153 + 2.87212i) q^{62} +(2.47596 - 0.539829i) q^{63} +(0.415415 + 0.909632i) q^{64} +(-2.10204 + 1.65306i) q^{65} +(-0.106271 - 2.23091i) q^{66} +(-1.70830 - 4.93582i) q^{67} +(3.48170 + 6.03048i) q^{68} +(-6.15593 + 3.01245i) q^{69} +(4.05488 - 4.91572i) q^{70} +(-9.60732 + 11.0874i) q^{71} +(-0.851336 - 0.438894i) q^{72} +(-13.3466 - 5.34319i) q^{73} +(2.67550 + 0.255479i) q^{74} +(-1.06255 + 0.425382i) q^{75} +(3.81538 - 1.12030i) q^{76} +(-3.93806 + 1.26090i) q^{77} +(-0.659131 + 1.44330i) q^{78} +(3.33521 + 13.7479i) q^{79} +(-2.36498 + 0.455813i) q^{80} +(-5.11503 + 0.985841i) q^{81} +(0.0202048 + 0.0832855i) q^{82} +(1.19866 - 2.62469i) q^{83} +(0.801959 - 3.69489i) q^{84} +(-16.0920 + 4.72505i) q^{85} +(7.91535 - 3.16883i) q^{86} +(-5.43392 - 0.518877i) q^{87} +(1.45093 + 0.580864i) q^{88} +(-2.31609 - 1.19403i) q^{89} +(1.51069 - 1.74343i) q^{90} +(2.89714 + 0.485781i) q^{91} +(-0.128026 - 4.79412i) q^{92} +(-7.28422 - 12.6166i) q^{93} +(-2.43253 - 7.02832i) q^{94} +(0.455707 + 9.56648i) q^{95} +(-1.12331 + 0.883381i) q^{96} +(-3.57526 - 7.82872i) q^{97} +(-6.99176 + 0.339630i) q^{98} +(-1.43631 + 0.421738i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 160 q - 8 q^{2} + 2 q^{3} + 8 q^{4} - 2 q^{5} + 4 q^{6} + 15 q^{7} + 16 q^{8} + 28 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 160 q - 8 q^{2} + 2 q^{3} + 8 q^{4} - 2 q^{5} + 4 q^{6} + 15 q^{7} + 16 q^{8} + 28 q^{9} + 2 q^{10} - 8 q^{11} - 9 q^{12} - 12 q^{13} + 7 q^{14} + 4 q^{15} + 8 q^{16} - 14 q^{17} - 28 q^{18} - 2 q^{19} - 18 q^{20} + 72 q^{21} - 16 q^{22} - 22 q^{23} - 2 q^{24} - 30 q^{25} - 6 q^{26} - 70 q^{27} + 14 q^{28} - 20 q^{30} + 4 q^{31} - 8 q^{32} + 40 q^{33} - 28 q^{34} - 79 q^{35} - 12 q^{36} - 14 q^{37} - 9 q^{38} + 16 q^{39} + 2 q^{40} + 12 q^{41} + 16 q^{42} + 106 q^{43} - 8 q^{44} + 40 q^{45} - 50 q^{47} + 18 q^{48} - 55 q^{49} + 28 q^{50} - 47 q^{51} - 16 q^{52} - 4 q^{53} - 24 q^{54} - 15 q^{56} + 8 q^{57} + 22 q^{58} - 42 q^{59} - 2 q^{60} - 80 q^{61} + 8 q^{62} + 5 q^{63} - 16 q^{64} + 71 q^{65} + 4 q^{66} + 12 q^{67} + 8 q^{68} - 72 q^{70} - 112 q^{71} + 16 q^{72} - 64 q^{73} + 14 q^{74} - 126 q^{75} + 4 q^{76} - 69 q^{77} + 54 q^{78} + 52 q^{79} - 2 q^{80} - 30 q^{81} - 49 q^{82} + 26 q^{83} - q^{84} - 22 q^{85} - 46 q^{86} + 4 q^{87} - 3 q^{88} - 72 q^{89} - 8 q^{90} + 44 q^{91} + 54 q^{93} + 6 q^{94} - 58 q^{95} - 2 q^{96} + 20 q^{97} - 19 q^{98} - 264 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/322\mathbb{Z}\right)^\times\).

\(n\) \(185\) \(281\)
\(\chi(n)\) \(e\left(\frac{2}{3}\right)\) \(e\left(\frac{4}{11}\right)\)

Coefficient data

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



Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.981929 0.189251i −0.694328 0.133821i
\(3\) −0.0679970 1.42743i −0.0392581 0.824129i −0.929540 0.368720i \(-0.879796\pi\)
0.890282 0.455409i \(-0.150507\pi\)
\(4\) 0.928368 + 0.371662i 0.464184 + 0.185831i
\(5\) −1.39707 + 1.96191i −0.624789 + 0.877394i −0.998747 0.0500521i \(-0.984061\pi\)
0.373957 + 0.927446i \(0.378001\pi\)
\(6\) −0.203375 + 1.41451i −0.0830276 + 0.577470i
\(7\) 2.62689 0.315333i 0.992872 0.119185i
\(8\) −0.841254 0.540641i −0.297428 0.191145i
\(9\) 0.953474 0.0910457i 0.317825 0.0303486i
\(10\) 1.74312 1.66206i 0.551223 0.525590i
\(11\) −1.53464 + 0.295777i −0.462711 + 0.0891802i −0.415279 0.909694i \(-0.636316\pi\)
−0.0474322 + 0.998874i \(0.515104\pi\)
\(12\) 0.467397 1.35046i 0.134926 0.389843i
\(13\) 1.06533 + 0.312808i 0.295469 + 0.0867574i 0.426107 0.904673i \(-0.359885\pi\)
−0.130639 + 0.991430i \(0.541703\pi\)
\(14\) −2.63910 0.187508i −0.705329 0.0501137i
\(15\) 2.89550 + 1.86082i 0.747614 + 0.480462i
\(16\) 0.723734 + 0.690079i 0.180934 + 0.172520i
\(17\) 5.47360 + 4.30448i 1.32754 + 1.04399i 0.994892 + 0.100941i \(0.0321852\pi\)
0.332650 + 0.943050i \(0.392057\pi\)
\(18\) −0.953474 0.0910457i −0.224736 0.0214597i
\(19\) 3.12571 2.45808i 0.717086 0.563923i −0.191565 0.981480i \(-0.561356\pi\)
0.908651 + 0.417557i \(0.137114\pi\)
\(20\) −2.02617 + 1.30214i −0.453064 + 0.291167i
\(21\) −0.628737 3.72827i −0.137202 0.813576i
\(22\) 1.56288 0.333208
\(23\) −1.90065 4.40313i −0.396313 0.918115i
\(24\) −0.714526 + 1.23760i −0.145852 + 0.252623i
\(25\) −0.261951 0.756858i −0.0523902 0.151372i
\(26\) −0.986876 0.508770i −0.193542 0.0997780i
\(27\) −0.804921 5.59835i −0.154907 1.07740i
\(28\) 2.55592 + 0.683572i 0.483024 + 0.129183i
\(29\) 0.543609 3.78088i 0.100946 0.702092i −0.875007 0.484110i \(-0.839143\pi\)
0.975953 0.217982i \(-0.0699475\pi\)
\(30\) −2.49101 2.37517i −0.454794 0.433645i
\(31\) 9.06122 4.67138i 1.62744 0.839005i 0.629360 0.777114i \(-0.283317\pi\)
0.998083 0.0618909i \(-0.0197131\pi\)
\(32\) −0.580057 0.814576i −0.102541 0.143998i
\(33\) 0.526553 + 2.17048i 0.0916612 + 0.377832i
\(34\) −4.56005 5.26258i −0.782043 0.902525i
\(35\) −3.05130 + 5.59428i −0.515764 + 0.945605i
\(36\) 0.919013 + 0.269846i 0.153169 + 0.0449744i
\(37\) −2.67550 + 0.255479i −0.439849 + 0.0420005i −0.312632 0.949874i \(-0.601211\pi\)
−0.127217 + 0.991875i \(0.540605\pi\)
\(38\) −3.53442 + 1.82212i −0.573358 + 0.295587i
\(39\) 0.374074 1.54195i 0.0598998 0.246910i
\(40\) 2.23598 0.895152i 0.353540 0.141536i
\(41\) −0.0356016 0.0779566i −0.00556004 0.0121748i 0.906832 0.421493i \(-0.138494\pi\)
−0.912392 + 0.409318i \(0.865767\pi\)
\(42\) −0.0882048 + 3.77989i −0.0136103 + 0.583249i
\(43\) −7.17261 + 4.60955i −1.09381 + 0.702951i −0.957707 0.287744i \(-0.907095\pi\)
−0.136105 + 0.990694i \(0.543458\pi\)
\(44\) −1.53464 0.295777i −0.231355 0.0445901i
\(45\) −1.15345 + 1.99783i −0.171946 + 0.297819i
\(46\) 1.03301 + 4.68326i 0.152308 + 0.690509i
\(47\) 3.71869 + 6.44095i 0.542426 + 0.939510i 0.998764 + 0.0497031i \(0.0158275\pi\)
−0.456338 + 0.889807i \(0.650839\pi\)
\(48\) 0.935830 1.08001i 0.135075 0.155885i
\(49\) 6.80113 1.65669i 0.971590 0.236670i
\(50\) 0.113981 + 0.792755i 0.0161193 + 0.112113i
\(51\) 5.77218 8.10589i 0.808266 1.13505i
\(52\) 0.872757 + 0.686344i 0.121030 + 0.0951787i
\(53\) −1.73232 + 7.14073i −0.237953 + 0.980855i 0.720010 + 0.693963i \(0.244137\pi\)
−0.957963 + 0.286892i \(0.907378\pi\)
\(54\) −0.269119 + 5.64951i −0.0366225 + 0.768801i
\(55\) 1.56371 3.42405i 0.210851 0.461699i
\(56\) −2.38036 1.15493i −0.318090 0.154334i
\(57\) −3.72129 4.29459i −0.492896 0.568833i
\(58\) −1.24932 + 3.60968i −0.164044 + 0.473974i
\(59\) 4.81029 4.58661i 0.626247 0.597125i −0.309026 0.951054i \(-0.600003\pi\)
0.935272 + 0.353928i \(0.115154\pi\)
\(60\) 1.99649 + 2.80367i 0.257745 + 0.361953i
\(61\) −0.423137 + 8.88273i −0.0541771 + 1.13732i 0.794108 + 0.607777i \(0.207938\pi\)
−0.848285 + 0.529540i \(0.822365\pi\)
\(62\) −9.78153 + 2.87212i −1.24226 + 0.364759i
\(63\) 2.47596 0.539829i 0.311942 0.0680120i
\(64\) 0.415415 + 0.909632i 0.0519269 + 0.113704i
\(65\) −2.10204 + 1.65306i −0.260726 + 0.205037i
\(66\) −0.106271 2.23091i −0.0130811 0.274606i
\(67\) −1.70830 4.93582i −0.208703 0.603006i 0.791262 0.611478i \(-0.209425\pi\)
−0.999964 + 0.00847143i \(0.997303\pi\)
\(68\) 3.48170 + 6.03048i 0.422218 + 0.731303i
\(69\) −6.15593 + 3.01245i −0.741087 + 0.362657i
\(70\) 4.05488 4.91572i 0.484651 0.587541i
\(71\) −9.60732 + 11.0874i −1.14018 + 1.31584i −0.198202 + 0.980161i \(0.563510\pi\)
−0.941977 + 0.335676i \(0.891035\pi\)
\(72\) −0.851336 0.438894i −0.100331 0.0517242i
\(73\) −13.3466 5.34319i −1.56211 0.625373i −0.580154 0.814506i \(-0.697008\pi\)
−0.981951 + 0.189134i \(0.939432\pi\)
\(74\) 2.67550 + 0.255479i 0.311020 + 0.0296988i
\(75\) −1.06255 + 0.425382i −0.122693 + 0.0491189i
\(76\) 3.81538 1.12030i 0.437654 0.128507i
\(77\) −3.93806 + 1.26090i −0.448784 + 0.143693i
\(78\) −0.659131 + 1.44330i −0.0746319 + 0.163421i
\(79\) 3.33521 + 13.7479i 0.375240 + 1.54676i 0.776093 + 0.630618i \(0.217198\pi\)
−0.400853 + 0.916142i \(0.631286\pi\)
\(80\) −2.36498 + 0.455813i −0.264413 + 0.0509614i
\(81\) −5.11503 + 0.985841i −0.568337 + 0.109538i
\(82\) 0.0202048 + 0.0832855i 0.00223125 + 0.00919735i
\(83\) 1.19866 2.62469i 0.131570 0.288097i −0.832369 0.554222i \(-0.813016\pi\)
0.963939 + 0.266124i \(0.0857432\pi\)
\(84\) 0.801959 3.69489i 0.0875009 0.403145i
\(85\) −16.0920 + 4.72505i −1.74543 + 0.512503i
\(86\) 7.91535 3.16883i 0.853534 0.341704i
\(87\) −5.43392 0.518877i −0.582578 0.0556294i
\(88\) 1.45093 + 0.580864i 0.154670 + 0.0619204i
\(89\) −2.31609 1.19403i −0.245505 0.126567i 0.331083 0.943602i \(-0.392586\pi\)
−0.576588 + 0.817035i \(0.695616\pi\)
\(90\) 1.51069 1.74343i 0.159241 0.183774i
\(91\) 2.89714 + 0.485781i 0.303703 + 0.0509237i
\(92\) −0.128026 4.79412i −0.0133476 0.499822i
\(93\) −7.28422 12.6166i −0.755339 1.30828i
\(94\) −2.43253 7.02832i −0.250896 0.724916i
\(95\) 0.455707 + 9.56648i 0.0467546 + 0.981500i
\(96\) −1.12331 + 0.883381i −0.114647 + 0.0901597i
\(97\) −3.57526 7.82872i −0.363013 0.794887i −0.999717 0.0237788i \(-0.992430\pi\)
0.636705 0.771108i \(-0.280297\pi\)
\(98\) −6.99176 + 0.339630i −0.706274 + 0.0343078i
\(99\) −1.43631 + 0.421738i −0.144354 + 0.0423863i
\(100\) 0.0381087 0.800000i 0.00381087 0.0800000i
\(101\) −4.16821 5.85343i −0.414752 0.582438i 0.553364 0.832940i \(-0.313344\pi\)
−0.968116 + 0.250502i \(0.919404\pi\)
\(102\) −7.20192 + 6.86701i −0.713096 + 0.679936i
\(103\) −1.31865 + 3.80998i −0.129930 + 0.375409i −0.991137 0.132847i \(-0.957588\pi\)
0.861206 + 0.508256i \(0.169709\pi\)
\(104\) −0.727094 0.839111i −0.0712974 0.0822816i
\(105\) 8.19293 + 3.97513i 0.799548 + 0.387933i
\(106\) 3.05241 6.68385i 0.296476 0.649193i
\(107\) 0.239033 5.01793i 0.0231082 0.485102i −0.957417 0.288709i \(-0.906774\pi\)
0.980525 0.196393i \(-0.0629228\pi\)
\(108\) 1.33343 5.49649i 0.128310 0.528900i
\(109\) 1.46918 + 1.15537i 0.140722 + 0.110665i 0.686038 0.727565i \(-0.259348\pi\)
−0.545317 + 0.838230i \(0.683591\pi\)
\(110\) −2.18346 + 3.06624i −0.208184 + 0.292354i
\(111\) 0.546605 + 3.80172i 0.0518814 + 0.360843i
\(112\) 2.11878 + 1.58455i 0.200206 + 0.149726i
\(113\) 2.58824 2.98699i 0.243481 0.280992i −0.620835 0.783941i \(-0.713206\pi\)
0.864316 + 0.502949i \(0.167752\pi\)
\(114\) 2.84128 + 4.92124i 0.266110 + 0.460917i
\(115\) 11.2939 + 2.42257i 1.05316 + 0.225906i
\(116\) 1.90988 3.30801i 0.177328 0.307141i
\(117\) 1.04424 + 0.201261i 0.0965402 + 0.0186066i
\(118\) −5.59139 + 3.59337i −0.514729 + 0.330796i
\(119\) 15.7359 + 9.58141i 1.44251 + 0.878327i
\(120\) −1.42981 3.13085i −0.130523 0.285806i
\(121\) −7.94442 + 3.18046i −0.722220 + 0.289133i
\(122\) 2.09656 8.64213i 0.189813 0.782421i
\(123\) −0.108857 + 0.0561197i −0.00981531 + 0.00506015i
\(124\) 10.1483 0.969047i 0.911346 0.0870230i
\(125\) −9.70388 2.84931i −0.867941 0.254850i
\(126\) −2.53338 + 0.0614943i −0.225692 + 0.00547835i
\(127\) −5.03399 5.80953i −0.446694 0.515513i 0.487089 0.873352i \(-0.338059\pi\)
−0.933783 + 0.357840i \(0.883513\pi\)
\(128\) −0.235759 0.971812i −0.0208383 0.0858968i
\(129\) 7.06755 + 9.92498i 0.622263 + 0.873846i
\(130\) 2.37690 1.22538i 0.208468 0.107473i
\(131\) −5.06671 4.83110i −0.442680 0.422095i 0.435674 0.900104i \(-0.356510\pi\)
−0.878355 + 0.478009i \(0.841358\pi\)
\(132\) −0.317852 + 2.21071i −0.0276654 + 0.192417i
\(133\) 7.43578 7.44276i 0.644764 0.645369i
\(134\) 0.743323 + 5.16992i 0.0642133 + 0.446613i
\(135\) 12.1080 + 6.24211i 1.04209 + 0.537235i
\(136\) −2.27750 6.58041i −0.195294 0.564266i
\(137\) 3.59463 6.22608i 0.307110 0.531930i −0.670619 0.741802i \(-0.733971\pi\)
0.977729 + 0.209872i \(0.0673048\pi\)
\(138\) 6.61480 1.79299i 0.563089 0.152630i
\(139\) 13.3598 1.13317 0.566583 0.824005i \(-0.308265\pi\)
0.566583 + 0.824005i \(0.308265\pi\)
\(140\) −4.91191 + 4.05949i −0.415132 + 0.343090i
\(141\) 8.94117 5.74614i 0.752983 0.483913i
\(142\) 11.5320 9.06888i 0.967746 0.761044i
\(143\) −1.72741 0.164948i −0.144454 0.0137937i
\(144\) 0.752890 + 0.592079i 0.0627408 + 0.0493399i
\(145\) 6.65830 + 6.34868i 0.552942 + 0.527229i
\(146\) 12.0942 + 7.77250i 1.00093 + 0.643256i
\(147\) −2.82727 9.59551i −0.233190 0.791424i
\(148\) −2.57880 0.757203i −0.211976 0.0622417i
\(149\) −0.0881037 + 0.254559i −0.00721774 + 0.0208543i −0.948552 0.316621i \(-0.897452\pi\)
0.941334 + 0.337475i \(0.109573\pi\)
\(150\) 1.12385 0.216605i 0.0917624 0.0176857i
\(151\) 12.5875 12.0022i 1.02436 0.976724i 0.0246224 0.999697i \(-0.492162\pi\)
0.999736 + 0.0229730i \(0.00731317\pi\)
\(152\) −3.95845 + 0.377986i −0.321073 + 0.0306587i
\(153\) 5.61084 + 3.60587i 0.453609 + 0.291517i
\(154\) 4.10552 0.492828i 0.330832 0.0397132i
\(155\) −3.49433 + 24.3036i −0.280671 + 1.95211i
\(156\) 0.920365 1.29247i 0.0736882 0.103481i
\(157\) 3.00121 + 1.20150i 0.239523 + 0.0958904i 0.488318 0.872666i \(-0.337611\pi\)
−0.248796 + 0.968556i \(0.580035\pi\)
\(158\) −0.673126 14.1307i −0.0535510 1.12417i
\(159\) 10.3107 + 1.98723i 0.817693 + 0.157597i
\(160\) 2.40851 0.190409
\(161\) −6.38126 10.9672i −0.502913 0.864337i
\(162\) 5.20917 0.409271
\(163\) −20.1651 3.88650i −1.57945 0.304414i −0.677258 0.735745i \(-0.736832\pi\)
−0.902194 + 0.431331i \(0.858044\pi\)
\(164\) −0.00407783 0.0856042i −0.000318425 0.00668457i
\(165\) −4.99393 1.99927i −0.388777 0.155643i
\(166\) −1.67372 + 2.35041i −0.129906 + 0.182427i
\(167\) −2.16333 + 15.0463i −0.167404 + 1.16432i 0.716822 + 0.697257i \(0.245596\pi\)
−0.884225 + 0.467061i \(0.845313\pi\)
\(168\) −1.48673 + 3.47634i −0.114704 + 0.268206i
\(169\) −9.89922 6.36184i −0.761479 0.489373i
\(170\) 16.6954 1.59422i 1.28048 0.122271i
\(171\) 2.75648 2.62830i 0.210793 0.200991i
\(172\) −8.37202 + 1.61357i −0.638360 + 0.123034i
\(173\) −4.61756 + 13.3416i −0.351066 + 1.01434i 0.621841 + 0.783144i \(0.286385\pi\)
−0.972907 + 0.231196i \(0.925736\pi\)
\(174\) 5.23753 + 1.53788i 0.397056 + 0.116586i
\(175\) −0.926780 1.90558i −0.0700580 0.144049i
\(176\) −1.31478 0.844958i −0.0991053 0.0636911i
\(177\) −6.87416 6.55450i −0.516693 0.492666i
\(178\) 2.04827 + 1.61078i 0.153524 + 0.120733i
\(179\) 10.2769 + 0.981328i 0.768134 + 0.0733479i 0.471764 0.881725i \(-0.343618\pi\)
0.296371 + 0.955073i \(0.404224\pi\)
\(180\) −1.81334 + 1.42603i −0.135158 + 0.106290i
\(181\) 11.5429 7.41814i 0.857973 0.551386i −0.0360788 0.999349i \(-0.511487\pi\)
0.894052 + 0.447963i \(0.147850\pi\)
\(182\) −2.75285 1.02529i −0.204055 0.0759996i
\(183\) 12.7083 0.939423
\(184\) −0.781581 + 4.73172i −0.0576189 + 0.348827i
\(185\) 3.23663 5.60601i 0.237962 0.412162i
\(186\) 4.76487 + 13.7672i 0.349377 + 1.00946i
\(187\) −9.67316 4.98686i −0.707372 0.364675i
\(188\) 1.05845 + 7.36167i 0.0771953 + 0.536905i
\(189\) −3.87978 14.4524i −0.282213 1.05126i
\(190\) 1.36300 9.47984i 0.0988821 0.687740i
\(191\) −10.3326 9.85208i −0.747638 0.712871i 0.217081 0.976154i \(-0.430346\pi\)
−0.964719 + 0.263282i \(0.915195\pi\)
\(192\) 1.27019 0.654829i 0.0916682 0.0472582i
\(193\) 2.39007 + 3.35638i 0.172041 + 0.241598i 0.891590 0.452844i \(-0.149591\pi\)
−0.719549 + 0.694442i \(0.755651\pi\)
\(194\) 2.02905 + 8.36387i 0.145678 + 0.600491i
\(195\) 2.50257 + 2.88812i 0.179213 + 0.206823i
\(196\) 6.92968 + 0.989706i 0.494977 + 0.0706933i
\(197\) −25.6764 7.53928i −1.82937 0.537152i −0.829596 0.558364i \(-0.811429\pi\)
−0.999775 + 0.0212127i \(0.993247\pi\)
\(198\) 1.49017 0.142294i 0.105902 0.0101124i
\(199\) −14.9675 + 7.71626i −1.06101 + 0.546991i −0.898164 0.439660i \(-0.855099\pi\)
−0.162850 + 0.986651i \(0.552069\pi\)
\(200\) −0.188821 + 0.778331i −0.0133517 + 0.0550363i
\(201\) −6.92939 + 2.77411i −0.488762 + 0.195671i
\(202\) 2.98511 + 6.53649i 0.210032 + 0.459906i
\(203\) 0.235766 10.1034i 0.0165475 0.709119i
\(204\) 8.37136 5.37994i 0.586112 0.376671i
\(205\) 0.202682 + 0.0390638i 0.0141559 + 0.00272833i
\(206\) 2.01586 3.49158i 0.140452 0.243270i
\(207\) −2.21311 4.02522i −0.153821 0.279772i
\(208\) 0.555151 + 0.961550i 0.0384928 + 0.0666715i
\(209\) −4.06978 + 4.69678i −0.281513 + 0.324883i
\(210\) −7.29258 5.45382i −0.503236 0.376349i
\(211\) −0.700687 4.87339i −0.0482373 0.335498i −0.999622 0.0274927i \(-0.991248\pi\)
0.951385 0.308005i \(-0.0996614\pi\)
\(212\) −4.26218 + 5.98539i −0.292727 + 0.411078i
\(213\) 16.4799 + 12.9599i 1.12918 + 0.887998i
\(214\) −1.18436 + 4.88201i −0.0809614 + 0.333727i
\(215\) 0.977102 20.5119i 0.0666378 1.39890i
\(216\) −2.34955 + 5.14480i −0.159867 + 0.350060i
\(217\) 22.3298 15.1285i 1.51585 1.02699i
\(218\) −1.22397 1.41254i −0.0828978 0.0956692i
\(219\) −6.71951 + 19.4148i −0.454063 + 1.31193i
\(220\) 2.72429 2.59760i 0.183671 0.175130i
\(221\) 4.48470 + 6.29787i 0.301673 + 0.423641i
\(222\) 0.182753 3.83646i 0.0122656 0.257487i
\(223\) −5.36271 + 1.57463i −0.359114 + 0.105445i −0.456312 0.889820i \(-0.650830\pi\)
0.0971986 + 0.995265i \(0.469012\pi\)
\(224\) −1.78061 1.95689i −0.118972 0.130750i
\(225\) −0.318672 0.697795i −0.0212448 0.0465196i
\(226\) −3.10676 + 2.44318i −0.206658 + 0.162518i
\(227\) −0.242232 5.08507i −0.0160775 0.337508i −0.992548 0.121856i \(-0.961115\pi\)
0.976470 0.215652i \(-0.0691876\pi\)
\(228\) −1.85858 5.37003i −0.123088 0.355639i
\(229\) 14.1212 + 24.4587i 0.933158 + 1.61628i 0.777885 + 0.628406i \(0.216292\pi\)
0.155273 + 0.987872i \(0.450374\pi\)
\(230\) −10.6313 4.51618i −0.701009 0.297788i
\(231\) 2.06762 + 5.53558i 0.136040 + 0.364215i
\(232\) −2.50141 + 2.88678i −0.164226 + 0.189527i
\(233\) −7.46582 3.84890i −0.489102 0.252150i 0.195990 0.980606i \(-0.437208\pi\)
−0.685092 + 0.728456i \(0.740238\pi\)
\(234\) −0.987282 0.395248i −0.0645406 0.0258382i
\(235\) −17.8319 1.70274i −1.16322 0.111074i
\(236\) 6.17039 2.47025i 0.401658 0.160800i
\(237\) 19.3974 5.69560i 1.26000 0.369969i
\(238\) −13.6382 12.3863i −0.884036 0.802885i
\(239\) 6.92094 15.1547i 0.447678 0.980278i −0.542447 0.840090i \(-0.682502\pi\)
0.990125 0.140188i \(-0.0447707\pi\)
\(240\) 0.811454 + 3.34486i 0.0523792 + 0.215910i
\(241\) −9.50840 + 1.83259i −0.612490 + 0.118048i −0.486057 0.873927i \(-0.661565\pi\)
−0.126433 + 0.991975i \(0.540353\pi\)
\(242\) 8.40276 1.61950i 0.540150 0.104105i
\(243\) −2.24527 9.25513i −0.144034 0.593717i
\(244\) −3.69420 + 8.08918i −0.236497 + 0.517856i
\(245\) −6.25138 + 15.6577i −0.399386 + 1.00034i
\(246\) 0.117511 0.0345042i 0.00749220 0.00219991i
\(247\) 4.09881 1.64092i 0.260801 0.104409i
\(248\) −10.1483 0.969047i −0.644419 0.0615346i
\(249\) −3.82808 1.53253i −0.242595 0.0971202i
\(250\) 8.98928 + 4.63429i 0.568532 + 0.293099i
\(251\) 3.31390 3.82444i 0.209172 0.241397i −0.641463 0.767154i \(-0.721672\pi\)
0.850635 + 0.525757i \(0.176218\pi\)
\(252\) 2.49924 + 0.419063i 0.157437 + 0.0263985i
\(253\) 4.21916 + 6.19504i 0.265256 + 0.389479i
\(254\) 3.84356 + 6.65724i 0.241166 + 0.417712i
\(255\) 7.83890 + 22.6490i 0.490891 + 1.41834i
\(256\) 0.0475819 + 0.998867i 0.00297387 + 0.0624292i
\(257\) 9.09293 7.15076i 0.567202 0.446052i −0.292923 0.956136i \(-0.594628\pi\)
0.860125 + 0.510084i \(0.170386\pi\)
\(258\) −5.06151 11.0832i −0.315116 0.690008i
\(259\) −6.94768 + 1.51479i −0.431708 + 0.0941243i
\(260\) −2.56585 + 0.753401i −0.159127 + 0.0467240i
\(261\) 0.174084 3.65447i 0.0107755 0.226206i
\(262\) 4.06086 + 5.70267i 0.250881 + 0.352312i
\(263\) −0.219400 + 0.209197i −0.0135288 + 0.0128997i −0.696813 0.717253i \(-0.745399\pi\)
0.683284 + 0.730152i \(0.260551\pi\)
\(264\) 0.730486 2.11060i 0.0449583 0.129899i
\(265\) −11.5893 13.3748i −0.711926 0.821606i
\(266\) −8.70996 + 5.90102i −0.534042 + 0.361815i
\(267\) −1.54691 + 3.38726i −0.0946694 + 0.207297i
\(268\) 0.248524 5.21717i 0.0151810 0.318689i
\(269\) −1.55181 + 6.39666i −0.0946156 + 0.390011i −0.999353 0.0359582i \(-0.988552\pi\)
0.904738 + 0.425969i \(0.140067\pi\)
\(270\) −10.7079 8.42076i −0.651660 0.512471i
\(271\) 1.12139 1.57477i 0.0681194 0.0956604i −0.779111 0.626886i \(-0.784329\pi\)
0.847230 + 0.531226i \(0.178268\pi\)
\(272\) 0.990994 + 6.89252i 0.0600879 + 0.417920i
\(273\) 0.496424 4.16851i 0.0300449 0.252289i
\(274\) −4.70796 + 5.43328i −0.284418 + 0.328236i
\(275\) 0.625862 + 1.08402i 0.0377409 + 0.0653691i
\(276\) −6.83458 + 0.508734i −0.411394 + 0.0306222i
\(277\) −1.67507 + 2.90131i −0.100645 + 0.174323i −0.911951 0.410300i \(-0.865424\pi\)
0.811305 + 0.584623i \(0.198757\pi\)
\(278\) −13.1184 2.52837i −0.786790 0.151641i
\(279\) 8.21432 5.27902i 0.491779 0.316047i
\(280\) 5.59141 3.05655i 0.334151 0.182664i
\(281\) −10.5930 23.1955i −0.631927 1.38373i −0.906518 0.422166i \(-0.861270\pi\)
0.274591 0.961561i \(-0.411457\pi\)
\(282\) −9.86706 + 3.95017i −0.587575 + 0.235229i
\(283\) −2.07710 + 8.56191i −0.123471 + 0.508953i 0.876166 + 0.482009i \(0.160093\pi\)
−0.999637 + 0.0269439i \(0.991422\pi\)
\(284\) −13.0399 + 6.72254i −0.773777 + 0.398910i
\(285\) 13.6245 1.30098i 0.807047 0.0770636i
\(286\) 1.66498 + 0.488883i 0.0984524 + 0.0289082i
\(287\) −0.118104 0.193557i −0.00697145 0.0114253i
\(288\) −0.627233 0.723865i −0.0369600 0.0426542i
\(289\) 7.42378 + 30.6012i 0.436693 + 1.80007i
\(290\) −5.33648 7.49404i −0.313369 0.440065i
\(291\) −10.9319 + 5.63577i −0.640838 + 0.330375i
\(292\) −10.4047 9.92089i −0.608891 0.580576i
\(293\) −2.60434 + 18.1136i −0.152147 + 1.05821i 0.760465 + 0.649379i \(0.224971\pi\)
−0.912612 + 0.408827i \(0.865938\pi\)
\(294\) 0.960218 + 9.95717i 0.0560011 + 0.580714i
\(295\) 2.27819 + 15.8452i 0.132642 + 0.922543i
\(296\) 2.38889 + 1.23156i 0.138852 + 0.0715830i
\(297\) 2.89113 + 8.35336i 0.167760 + 0.484711i
\(298\) 0.134687 0.233285i 0.00780222 0.0135138i
\(299\) −0.647480 5.28531i −0.0374447 0.305658i
\(300\) −1.14454 −0.0660799
\(301\) −17.3881 + 14.3706i −1.00223 + 0.828306i
\(302\) −14.6315 + 9.40308i −0.841947 + 0.541087i
\(303\) −8.07195 + 6.34785i −0.463722 + 0.364675i
\(304\) 3.95845 + 0.377986i 0.227033 + 0.0216790i
\(305\) −16.8360 13.2400i −0.964026 0.758118i
\(306\) −4.82703 4.60256i −0.275943 0.263111i
\(307\) −14.2737 9.17315i −0.814643 0.523540i 0.0657207 0.997838i \(-0.479065\pi\)
−0.880364 + 0.474299i \(0.842702\pi\)
\(308\) −4.12460 0.293053i −0.235021 0.0166983i
\(309\) 5.52816 + 1.62322i 0.314486 + 0.0923415i
\(310\) 8.03066 23.2031i 0.456111 1.31785i
\(311\) 8.49905 1.63806i 0.481937 0.0928857i 0.0575043 0.998345i \(-0.481686\pi\)
0.424433 + 0.905460i \(0.360474\pi\)
\(312\) −1.14833 + 1.09493i −0.0650116 + 0.0619885i
\(313\) 2.07935 0.198554i 0.117532 0.0112229i −0.0361244 0.999347i \(-0.511501\pi\)
0.153656 + 0.988124i \(0.450895\pi\)
\(314\) −2.71959 1.74777i −0.153475 0.0986325i
\(315\) −2.40000 + 5.61180i −0.135225 + 0.316189i
\(316\) −2.01328 + 14.0027i −0.113256 + 0.787713i
\(317\) −1.58289 + 2.22286i −0.0889042 + 0.124848i −0.856633 0.515927i \(-0.827448\pi\)
0.767728 + 0.640775i \(0.221387\pi\)
\(318\) −9.74830 3.90263i −0.546657 0.218849i
\(319\) 0.284056 + 5.96308i 0.0159041 + 0.333868i
\(320\) −2.36498 0.455813i −0.132207 0.0254807i
\(321\) −7.17901 −0.400693
\(322\) 4.19038 + 11.9767i 0.233521 + 0.667434i
\(323\) 27.6896 1.54069
\(324\) −5.11503 0.985841i −0.284168 0.0547690i
\(325\) −0.0423122 0.888242i −0.00234706 0.0492708i
\(326\) 19.0652 + 7.63254i 1.05592 + 0.422727i
\(327\) 1.54932 2.17572i 0.0856776 0.120317i
\(328\) −0.0121966 + 0.0848290i −0.000673443 + 0.00468390i
\(329\) 11.7996 + 15.7471i 0.650535 + 0.868164i
\(330\) 4.52532 + 2.90824i 0.249110 + 0.160094i
\(331\) −28.1268 + 2.68579i −1.54599 + 0.147624i −0.832890 0.553438i \(-0.813315\pi\)
−0.713100 + 0.701063i \(0.752709\pi\)
\(332\) 2.08829 1.99118i 0.114610 0.109280i
\(333\) −2.52775 + 0.487185i −0.138520 + 0.0266976i
\(334\) 4.97177 14.3650i 0.272043 0.786017i
\(335\) 12.0703 + 3.54415i 0.659469 + 0.193638i
\(336\) 2.11776 3.13216i 0.115533 0.170873i
\(337\) 15.6037 + 10.0279i 0.849986 + 0.546253i 0.891570 0.452882i \(-0.149604\pi\)
−0.0415844 + 0.999135i \(0.513241\pi\)
\(338\) 8.51634 + 8.12032i 0.463228 + 0.441687i
\(339\) −4.43972 3.49143i −0.241132 0.189629i
\(340\) −16.6954 1.59422i −0.905438 0.0864588i
\(341\) −12.5240 + 9.84899i −0.678213 + 0.533352i
\(342\) −3.20408 + 2.05913i −0.173257 + 0.111345i
\(343\) 17.3434 6.49657i 0.936457 0.350782i
\(344\) 8.52609 0.459696
\(345\) 2.69011 16.2860i 0.144831 0.876809i
\(346\) 7.05902 12.2266i 0.379495 0.657305i
\(347\) 0.706169 + 2.04034i 0.0379091 + 0.109531i 0.962367 0.271753i \(-0.0876032\pi\)
−0.924458 + 0.381284i \(0.875482\pi\)
\(348\) −4.85183 2.50129i −0.260085 0.134083i
\(349\) −0.219342 1.52556i −0.0117411 0.0816613i 0.983108 0.183024i \(-0.0585887\pi\)
−0.994850 + 0.101363i \(0.967680\pi\)
\(350\) 0.549398 + 2.04654i 0.0293665 + 0.109392i
\(351\) 0.893706 6.21586i 0.0477025 0.331778i
\(352\) 1.13111 + 1.07851i 0.0602884 + 0.0574849i
\(353\) −5.29229 + 2.72837i −0.281680 + 0.145216i −0.593278 0.804998i \(-0.702166\pi\)
0.311597 + 0.950214i \(0.399136\pi\)
\(354\) 5.50949 + 7.73699i 0.292826 + 0.411217i
\(355\) −8.33047 34.3387i −0.442136 1.82251i
\(356\) −1.70641 1.96930i −0.0904396 0.104373i
\(357\) 12.6068 23.1135i 0.667224 1.22329i
\(358\) −9.90550 2.90852i −0.523522 0.153720i
\(359\) 34.6032 3.30420i 1.82628 0.174389i 0.875290 0.483598i \(-0.160670\pi\)
0.950994 + 0.309209i \(0.100064\pi\)
\(360\) 2.05045 1.05708i 0.108068 0.0557130i
\(361\) −0.751552 + 3.09794i −0.0395553 + 0.163049i
\(362\) −12.7381 + 5.09959i −0.669502 + 0.268028i
\(363\) 5.08010 + 11.1239i 0.266636 + 0.583851i
\(364\) 2.50907 + 1.52774i 0.131511 + 0.0800754i
\(365\) 29.1291 18.7201i 1.52469 0.979856i
\(366\) −12.4786 2.40506i −0.652268 0.125714i
\(367\) −10.8929 + 18.8670i −0.568602 + 0.984848i 0.428102 + 0.903730i \(0.359182\pi\)
−0.996705 + 0.0811179i \(0.974151\pi\)
\(368\) 1.66294 4.49829i 0.0866867 0.234490i
\(369\) −0.0410428 0.0710882i −0.00213660 0.00370071i
\(370\) −4.23909 + 4.89217i −0.220380 + 0.254332i
\(371\) −2.29892 + 19.3042i −0.119354 + 1.00222i
\(372\) −2.07331 14.4202i −0.107496 0.747650i
\(373\) 10.0311 14.0867i 0.519391 0.729383i −0.468682 0.883367i \(-0.655271\pi\)
0.988073 + 0.153984i \(0.0492105\pi\)
\(374\) 8.55459 + 6.72740i 0.442347 + 0.347866i
\(375\) −3.40737 + 14.0454i −0.175956 + 0.725300i
\(376\) 0.353884 7.42895i 0.0182502 0.383119i
\(377\) 1.76181 3.85783i 0.0907380 0.198689i
\(378\) 1.07453 + 14.9255i 0.0552678 + 0.767686i
\(379\) 11.6790 + 13.4782i 0.599908 + 0.692331i 0.971763 0.235960i \(-0.0758234\pi\)
−0.371854 + 0.928291i \(0.621278\pi\)
\(380\) −3.13244 + 9.05058i −0.160691 + 0.464285i
\(381\) −7.95042 + 7.58071i −0.407313 + 0.388372i
\(382\) 8.28132 + 11.6295i 0.423709 + 0.595016i
\(383\) 1.43576 30.1403i 0.0733639 1.54010i −0.599526 0.800356i \(-0.704644\pi\)
0.672890 0.739743i \(-0.265053\pi\)
\(384\) −1.37117 + 0.402610i −0.0699720 + 0.0205456i
\(385\) 3.02798 9.48770i 0.154320 0.483538i
\(386\) −1.71168 3.74805i −0.0871221 0.190771i
\(387\) −6.41921 + 5.04812i −0.326307 + 0.256611i
\(388\) −0.409513 8.59673i −0.0207898 0.436433i
\(389\) 6.27858 + 18.1408i 0.318336 + 0.919773i 0.984717 + 0.174161i \(0.0557214\pi\)
−0.666381 + 0.745612i \(0.732157\pi\)
\(390\) −1.91077 3.30954i −0.0967554 0.167585i
\(391\) 8.54980 32.2823i 0.432382 1.63258i
\(392\) −6.61715 2.28327i −0.334217 0.115323i
\(393\) −6.55155 + 7.56089i −0.330482 + 0.381396i
\(394\) 23.7856 + 12.2623i 1.19830 + 0.617768i
\(395\) −31.6317 12.6634i −1.59156 0.637166i
\(396\) −1.49017 0.142294i −0.0748837 0.00715053i
\(397\) −29.6255 + 11.8603i −1.48686 + 0.595250i −0.966035 0.258411i \(-0.916801\pi\)
−0.520829 + 0.853661i \(0.674377\pi\)
\(398\) 16.1573 4.74421i 0.809892 0.237806i
\(399\) −11.1296 10.1080i −0.557179 0.506033i
\(400\) 0.332709 0.728531i 0.0166354 0.0364265i
\(401\) 0.276174 + 1.13840i 0.0137915 + 0.0568492i 0.978292 0.207233i \(-0.0664460\pi\)
−0.964500 + 0.264083i \(0.914931\pi\)
\(402\) 7.32917 1.41258i 0.365546 0.0704532i
\(403\) 11.1144 2.14213i 0.553648 0.106707i
\(404\) −1.69413 6.98330i −0.0842861 0.347432i
\(405\) 5.21193 11.4125i 0.258983 0.567093i
\(406\) −2.14358 + 9.87619i −0.106384 + 0.490147i
\(407\) 4.03035 1.18342i 0.199777 0.0586599i
\(408\) −9.23824 + 3.69843i −0.457361 + 0.183100i
\(409\) 12.5928 + 1.20247i 0.622674 + 0.0594582i 0.401625 0.915804i \(-0.368446\pi\)
0.221050 + 0.975263i \(0.429052\pi\)
\(410\) −0.191626 0.0767157i −0.00946376 0.00378872i
\(411\) −9.13173 4.70774i −0.450435 0.232215i
\(412\) −2.64022 + 3.04698i −0.130074 + 0.150114i
\(413\) 11.1898 13.5654i 0.550615 0.667508i
\(414\) 1.41133 + 4.37131i 0.0693633 + 0.214838i
\(415\) 3.47481 + 6.01854i 0.170571 + 0.295438i
\(416\) −0.363144 1.04924i −0.0178046 0.0514431i
\(417\) −0.908429 19.0703i −0.0444860 0.933875i
\(418\) 4.88511 3.84169i 0.238938 0.187903i
\(419\) −9.45101 20.6948i −0.461712 1.01101i −0.987094 0.160142i \(-0.948805\pi\)
0.525382 0.850867i \(-0.323923\pi\)
\(420\) 6.12865 + 6.73539i 0.299047 + 0.328654i
\(421\) −19.7706 + 5.80516i −0.963558 + 0.282926i −0.725421 0.688305i \(-0.758355\pi\)
−0.238137 + 0.971232i \(0.576537\pi\)
\(422\) −0.234270 + 4.91793i −0.0114041 + 0.239401i
\(423\) 4.13209 + 5.80271i 0.200909 + 0.282137i
\(424\) 5.31789 5.07060i 0.258260 0.246250i
\(425\) 1.82407 5.27030i 0.0884803 0.255647i
\(426\) −13.7294 15.8445i −0.665190 0.767670i
\(427\) 1.68948 + 23.4674i 0.0817598 + 1.13567i
\(428\) 2.08689 4.56965i 0.100873 0.220882i
\(429\) −0.117993 + 2.47698i −0.00569677 + 0.119590i
\(430\) −4.84135 + 19.9563i −0.233471 + 0.962379i
\(431\) −28.0228 22.0373i −1.34981 1.06150i −0.991802 0.127783i \(-0.959214\pi\)
−0.358007 0.933719i \(-0.616544\pi\)
\(432\) 3.28075 4.60717i 0.157845 0.221663i
\(433\) 4.53574 + 31.5468i 0.217974 + 1.51604i 0.745502 + 0.666504i \(0.232210\pi\)
−0.527528 + 0.849538i \(0.676881\pi\)
\(434\) −24.7894 + 10.6292i −1.18993 + 0.510217i
\(435\) 8.60957 9.93597i 0.412797 0.476393i
\(436\) 0.934528 + 1.61865i 0.0447558 + 0.0775193i
\(437\) −16.7641 9.09092i −0.801937 0.434878i
\(438\) 10.2723 17.7922i 0.490832 0.850146i
\(439\) 25.9320 + 4.99798i 1.23767 + 0.238541i 0.765771 0.643114i \(-0.222358\pi\)
0.471896 + 0.881654i \(0.343570\pi\)
\(440\) −3.16666 + 2.03509i −0.150964 + 0.0970190i
\(441\) 6.33386 2.19882i 0.301613 0.104706i
\(442\) −3.21177 7.03280i −0.152768 0.334516i
\(443\) 11.2280 4.49501i 0.533458 0.213564i −0.0892632 0.996008i \(-0.528451\pi\)
0.622721 + 0.782444i \(0.286027\pi\)
\(444\) −0.905506 + 3.73255i −0.0429734 + 0.177139i
\(445\) 5.57833 2.87583i 0.264438 0.136327i
\(446\) 5.56380 0.531278i 0.263454 0.0251568i
\(447\) 0.369357 + 0.108453i 0.0174700 + 0.00512965i
\(448\) 1.37809 + 2.25851i 0.0651085 + 0.106705i
\(449\) 23.3452 + 26.9418i 1.10173 + 1.27146i 0.959524 + 0.281626i \(0.0908739\pi\)
0.142205 + 0.989837i \(0.454581\pi\)
\(450\) 0.180855 + 0.745494i 0.00852558 + 0.0351429i
\(451\) 0.0776934 + 0.109105i 0.00365844 + 0.00513756i
\(452\) 3.51299 1.81107i 0.165237 0.0851857i
\(453\) −17.9882 17.1517i −0.845161 0.805859i
\(454\) −0.724501 + 5.03902i −0.0340025 + 0.236493i
\(455\) −5.00057 + 5.00526i −0.234430 + 0.234650i
\(456\) 0.808713 + 5.62472i 0.0378715 + 0.263402i
\(457\) −20.5537 10.5961i −0.961460 0.495667i −0.0953077 0.995448i \(-0.530384\pi\)
−0.866152 + 0.499781i \(0.833414\pi\)
\(458\) −9.23722 26.6892i −0.431627 1.24710i
\(459\) 19.6922 34.1079i 0.919153 1.59202i
\(460\) 9.58451 + 6.44656i 0.446880 + 0.300572i
\(461\) 33.3445 1.55301 0.776505 0.630112i \(-0.216991\pi\)
0.776505 + 0.630112i \(0.216991\pi\)
\(462\) −0.982642 5.82685i −0.0457167 0.271090i
\(463\) −18.2903 + 11.7544i −0.850020 + 0.546275i −0.891581 0.452861i \(-0.850403\pi\)
0.0415608 + 0.999136i \(0.486767\pi\)
\(464\) 3.00254 2.36122i 0.139389 0.109617i
\(465\) 34.9293 + 3.33535i 1.61981 + 0.154673i
\(466\) 6.60250 + 5.19226i 0.305855 + 0.240527i
\(467\) 19.0414 + 18.1559i 0.881131 + 0.840157i 0.988054 0.154110i \(-0.0492512\pi\)
−0.106922 + 0.994267i \(0.534100\pi\)
\(468\) 0.894639 + 0.574950i 0.0413547 + 0.0265771i
\(469\) −6.04396 12.4272i −0.279084 0.573834i
\(470\) 17.1874 + 5.04667i 0.792794 + 0.232785i
\(471\) 1.51099 4.36573i 0.0696228 0.201162i
\(472\) −6.52638 + 1.25786i −0.300401 + 0.0578976i
\(473\) 9.64396 9.19549i 0.443430 0.422809i
\(474\) −20.1248 + 1.92168i −0.924362 + 0.0882659i
\(475\) −2.67920 1.72182i −0.122930 0.0790024i
\(476\) 11.0477 + 14.7435i 0.506368 + 0.675768i
\(477\) −1.00159 + 6.96622i −0.0458597 + 0.318961i
\(478\) −9.66392 + 13.5711i −0.442017 + 0.620726i
\(479\) −4.23818 1.69671i −0.193647 0.0775247i 0.272812 0.962067i \(-0.412046\pi\)
−0.466459 + 0.884543i \(0.654471\pi\)
\(480\) −0.163771 3.43798i −0.00747510 0.156922i
\(481\) −2.93020 0.564749i −0.133605 0.0257503i
\(482\) 9.68339 0.441067
\(483\) −15.2210 + 9.85455i −0.692582 + 0.448398i
\(484\) −8.55740 −0.388973
\(485\) 20.3542 + 3.92294i 0.924235 + 0.178132i
\(486\) 0.453150 + 9.51279i 0.0205553 + 0.431509i
\(487\) −8.40548 3.36505i −0.380889 0.152485i 0.173314 0.984867i \(-0.444553\pi\)
−0.554203 + 0.832382i \(0.686977\pi\)
\(488\) 5.15833 7.24386i 0.233507 0.327914i
\(489\) −4.17656 + 29.0486i −0.188870 + 1.31362i
\(490\) 9.10166 14.1917i 0.411171 0.641116i
\(491\) 26.9398 + 17.3132i 1.21578 + 0.781333i 0.981616 0.190865i \(-0.0611293\pi\)
0.234161 + 0.972198i \(0.424766\pi\)
\(492\) −0.121917 + 0.0116417i −0.00549644 + 0.000524847i
\(493\) 19.2502 18.3551i 0.866988 0.826671i
\(494\) −4.33528 + 0.835558i −0.195054 + 0.0375935i
\(495\) 1.17921 3.40711i 0.0530016 0.153138i
\(496\) 9.78153 + 2.87212i 0.439204 + 0.128962i
\(497\) −21.7412 + 32.1550i −0.975225 + 1.44235i
\(498\) 3.46887 + 2.22930i 0.155444 + 0.0998975i
\(499\) −24.5806 23.4375i −1.10038 1.04921i −0.998519 0.0544091i \(-0.982673\pi\)
−0.101859 0.994799i \(-0.532479\pi\)
\(500\) −7.94978 6.25178i −0.355525 0.279588i
\(501\) 21.6247 + 2.06491i 0.966120 + 0.0922532i
\(502\) −3.97779 + 3.12817i −0.177538 + 0.139617i
\(503\) −20.2230 + 12.9965i −0.901699 + 0.579487i −0.907294 0.420497i \(-0.861856\pi\)
0.00559433 + 0.999984i \(0.498219\pi\)
\(504\) −2.37477 0.884474i −0.105781 0.0393976i
\(505\) 17.3072 0.770160
\(506\) −2.97049 6.88157i −0.132054 0.305923i
\(507\) −8.40799 + 14.5631i −0.373412 + 0.646768i
\(508\) −2.51421 7.26433i −0.111550 0.322302i
\(509\) −31.5849 16.2832i −1.39998 0.721739i −0.417598 0.908632i \(-0.637128\pi\)
−0.982380 + 0.186893i \(0.940158\pi\)
\(510\) −3.41089 23.7232i −0.151037 1.05048i
\(511\) −36.7451 9.82735i −1.62551 0.434736i
\(512\) 0.142315 0.989821i 0.00628949 0.0437443i
\(513\) −16.2771 15.5202i −0.718653 0.685235i
\(514\) −10.2819 + 5.30069i −0.453515 + 0.233803i
\(515\) −5.63261 7.90989i −0.248202 0.348552i
\(516\) 2.87254 + 11.8408i 0.126457 + 0.521261i
\(517\) −7.61193 8.78463i −0.334772 0.386348i
\(518\) 7.10880 0.172556i 0.312343 0.00758168i
\(519\) 19.3582 + 5.68407i 0.849729 + 0.249503i
\(520\) 2.66206 0.254196i 0.116739 0.0111472i
\(521\) 20.6124 10.6264i 0.903047 0.465553i 0.0568253 0.998384i \(-0.481902\pi\)
0.846222 + 0.532831i \(0.178872\pi\)
\(522\) −0.862550 + 3.55548i −0.0377528 + 0.155619i
\(523\) −25.2801 + 10.1206i −1.10542 + 0.442544i −0.851327 0.524636i \(-0.824202\pi\)
−0.254094 + 0.967180i \(0.581777\pi\)
\(524\) −2.90823 6.36814i −0.127047 0.278194i
\(525\) −2.65707 + 1.45249i −0.115964 + 0.0633919i
\(526\) 0.255026 0.163895i 0.0111197 0.00714617i
\(527\) 69.7054 + 13.4346i 3.03641 + 0.585221i
\(528\) −1.11672 + 1.93422i −0.0485990 + 0.0841759i
\(529\) −15.7751 + 16.7376i −0.685872 + 0.727722i
\(530\) 8.84868 + 15.3264i 0.384362 + 0.665735i
\(531\) 4.16890 4.81116i 0.180915 0.208787i
\(532\) 9.66933 4.14602i 0.419219 0.179753i
\(533\) −0.0135419 0.0941859i −0.000586564 0.00407964i
\(534\) 2.16000 3.03329i 0.0934723 0.131263i
\(535\) 9.51079 + 7.47937i 0.411187 + 0.323361i
\(536\) −1.23139 + 5.07585i −0.0531879 + 0.219244i
\(537\) 0.701980 14.7364i 0.0302927 0.635921i
\(538\) 2.73434 5.98738i 0.117886 0.258134i
\(539\) −9.94726 + 4.55404i −0.428459 + 0.196156i
\(540\) 8.92072 + 10.2951i 0.383887 + 0.443029i
\(541\) −5.85072 + 16.9045i −0.251542 + 0.726783i 0.746567 + 0.665311i \(0.231701\pi\)
−0.998109 + 0.0614725i \(0.980420\pi\)
\(542\) −1.39915 + 1.33409i −0.0600986 + 0.0573039i
\(543\) −11.3738 15.9722i −0.488096 0.685434i
\(544\) 0.331332 6.95551i 0.0142057 0.298215i
\(545\) −4.31929 + 1.26826i −0.185018 + 0.0543262i
\(546\) −1.27635 + 3.99923i −0.0546226 + 0.171151i
\(547\) −1.52587 3.34119i −0.0652416 0.142859i 0.874202 0.485562i \(-0.161385\pi\)
−0.939444 + 0.342703i \(0.888658\pi\)
\(548\) 5.65114 4.44410i 0.241405 0.189843i
\(549\) 0.405285 + 8.50797i 0.0172971 + 0.363111i
\(550\) −0.409399 1.18288i −0.0174568 0.0504382i
\(551\) −7.59456 13.1542i −0.323539 0.560386i
\(552\) 6.80735 + 0.793913i 0.289740 + 0.0337912i
\(553\) 13.0964 + 35.0626i 0.556915 + 1.49101i
\(554\) 2.19388 2.53187i 0.0932090 0.107569i
\(555\) −8.22229 4.23888i −0.349017 0.179931i
\(556\) 12.4028 + 4.96535i 0.525998 + 0.210578i
\(557\) 43.9317 + 4.19497i 1.86145 + 0.177747i 0.964446 0.264280i \(-0.0851343\pi\)
0.897002 + 0.442027i \(0.145740\pi\)
\(558\) −9.06494 + 3.62905i −0.383750 + 0.153630i
\(559\) −9.08308 + 2.66703i −0.384174 + 0.112804i
\(560\) −6.06882 + 1.94313i −0.256455 + 0.0821122i
\(561\) −6.46067 + 14.1469i −0.272770 + 0.597282i
\(562\) 6.01182 + 24.7811i 0.253593 + 1.04533i
\(563\) −22.3824 + 4.31385i −0.943304 + 0.181807i −0.637642 0.770333i \(-0.720090\pi\)
−0.305662 + 0.952140i \(0.598878\pi\)
\(564\) 10.4363 2.01144i 0.439448 0.0846968i
\(565\) 2.24425 + 9.25093i 0.0944164 + 0.389190i
\(566\) 3.65991 8.01409i 0.153838 0.336857i
\(567\) −13.1258 + 4.20264i −0.551230 + 0.176494i
\(568\) 14.0765 4.13324i 0.590638 0.173427i
\(569\) 29.5936 11.8475i 1.24063 0.496672i 0.343795 0.939045i \(-0.388287\pi\)
0.896831 + 0.442373i \(0.145863\pi\)
\(570\) −13.6245 1.30098i −0.570668 0.0544922i
\(571\) 4.49886 + 1.80107i 0.188272 + 0.0753726i 0.463883 0.885897i \(-0.346456\pi\)
−0.275611 + 0.961269i \(0.588880\pi\)
\(572\) −1.54237 0.795148i −0.0644898 0.0332468i
\(573\) −13.3606 + 15.4190i −0.558147 + 0.644136i
\(574\) 0.0793386 + 0.212411i 0.00331153 + 0.00886586i
\(575\) −2.83466 + 2.59193i −0.118214 + 0.108091i
\(576\) 0.478905 + 0.829488i 0.0199544 + 0.0345620i
\(577\) −8.53981 24.6741i −0.355517 1.02720i −0.971006 0.239053i \(-0.923163\pi\)
0.615490 0.788145i \(-0.288958\pi\)
\(578\) −1.49830 31.4532i −0.0623211 1.30828i
\(579\) 4.62849 3.63989i 0.192354 0.151269i
\(580\) 3.82179 + 8.36855i 0.158691 + 0.347485i
\(581\) 2.32109 7.27276i 0.0962950 0.301725i
\(582\) 11.8009 3.46506i 0.489163 0.143631i
\(583\) 0.546423 11.4708i 0.0226305 0.475073i
\(584\) 8.33916 + 11.7107i 0.345077 + 0.484593i
\(585\) −1.85374 + 1.76753i −0.0766426 + 0.0730786i
\(586\) 5.98529 17.2934i 0.247250 0.714382i
\(587\) 9.31820 + 10.7538i 0.384603 + 0.443856i 0.914732 0.404061i \(-0.132402\pi\)
−0.530128 + 0.847917i \(0.677856\pi\)
\(588\) 0.941541 9.95895i 0.0388285 0.410700i
\(589\) 16.8401 36.8746i 0.693882 1.51939i
\(590\) 0.761697 15.9900i 0.0313586 0.658298i
\(591\) −9.01590 + 37.1641i −0.370865 + 1.52873i
\(592\) −2.11265 1.66141i −0.0868293 0.0682833i
\(593\) 1.77334 2.49030i 0.0728222 0.102265i −0.776558 0.630045i \(-0.783036\pi\)
0.849381 + 0.527781i \(0.176976\pi\)
\(594\) −1.25800 8.74956i −0.0516162 0.358999i
\(595\) −40.7821 + 17.4865i −1.67190 + 0.716878i
\(596\) −0.176403 + 0.203580i −0.00722573 + 0.00833894i
\(597\) 12.0322 + 20.8404i 0.492445 + 0.852939i
\(598\) −0.364473 + 5.31234i −0.0149044 + 0.217238i
\(599\) −8.24992 + 14.2893i −0.337083 + 0.583844i −0.983883 0.178815i \(-0.942774\pi\)
0.646800 + 0.762660i \(0.276107\pi\)
\(600\) 1.12385 + 0.216605i 0.0458812 + 0.00884287i
\(601\) 16.9460 10.8905i 0.691241 0.444233i −0.147286 0.989094i \(-0.547054\pi\)
0.838527 + 0.544861i \(0.183417\pi\)
\(602\) 19.7935 10.8201i 0.806725 0.440996i
\(603\) −2.07821 4.55064i −0.0846312 0.185316i
\(604\) 16.1466 6.46413i 0.656997 0.263022i
\(605\) 4.85912 20.0296i 0.197551 0.814318i
\(606\) 9.12742 4.70551i 0.370776 0.191148i
\(607\) −9.19853 + 0.878354i −0.373357 + 0.0356513i −0.280048 0.959986i \(-0.590350\pi\)
−0.0933088 + 0.995637i \(0.529744\pi\)
\(608\) −3.81538 1.12030i −0.154734 0.0454340i
\(609\) −14.4379 + 0.350461i −0.585055 + 0.0142014i
\(610\) 14.0261 + 16.1869i 0.567898 + 0.655390i
\(611\) 1.94684 + 8.02496i 0.0787605 + 0.324655i
\(612\) 3.86876 + 5.43291i 0.156385 + 0.219612i
\(613\) 28.7234 14.8080i 1.16013 0.598088i 0.232870 0.972508i \(-0.425188\pi\)
0.927259 + 0.374420i \(0.122158\pi\)
\(614\) 12.2797 + 11.7087i 0.495570 + 0.472525i
\(615\) 0.0419791 0.291971i 0.00169276 0.0117734i
\(616\) 3.99460 + 1.06834i 0.160947 + 0.0430448i
\(617\) −4.69771 32.6733i −0.189123 1.31538i −0.834285 0.551333i \(-0.814120\pi\)
0.645163 0.764045i \(-0.276790\pi\)
\(618\) −5.12107 2.64009i −0.205999 0.106200i
\(619\) −9.66762 27.9328i −0.388574 1.12271i −0.954488 0.298248i \(-0.903598\pi\)
0.565914 0.824464i \(-0.308523\pi\)
\(620\) −12.2767 + 21.2639i −0.493046 + 0.853980i
\(621\) −23.1204 + 14.1847i −0.927788 + 0.569211i
\(622\) −8.65547 −0.347053
\(623\) −6.46065 2.40625i −0.258840 0.0964042i
\(624\) 1.33480 0.857824i 0.0534348 0.0343404i
\(625\) 22.2949 17.5329i 0.891796 0.701316i
\(626\) −2.07935 0.198554i −0.0831075 0.00793580i
\(627\) 6.98107 + 5.48998i 0.278797 + 0.219249i
\(628\) 2.33967 + 2.23087i 0.0933631 + 0.0890216i
\(629\) −15.7443 10.1182i −0.627766 0.403441i
\(630\) 3.41867 5.05619i 0.136203 0.201443i
\(631\) −44.5251 13.0737i −1.77252 0.520458i −0.778303 0.627889i \(-0.783919\pi\)
−0.994213 + 0.107431i \(0.965737\pi\)
\(632\) 4.62692 13.3686i 0.184049 0.531775i
\(633\) −6.90879 + 1.33156i −0.274600 + 0.0529248i
\(634\) 1.97497 1.88313i 0.0784361 0.0747886i
\(635\) 18.4306 1.75991i 0.731397 0.0698400i
\(636\) 8.83356 + 5.67698i 0.350273 + 0.225107i
\(637\) 7.76366 + 0.362532i 0.307607 + 0.0143640i
\(638\) 0.849596 5.90907i 0.0336358 0.233942i
\(639\) −8.15087 + 11.4463i −0.322443 + 0.452808i
\(640\) 2.23598 + 0.895152i 0.0883849 + 0.0353840i
\(641\) 2.03210 + 42.6590i 0.0802630 + 1.68493i 0.576779 + 0.816900i \(0.304309\pi\)
−0.496516 + 0.868027i \(0.665388\pi\)
\(642\) 7.04928 + 1.35864i 0.278213 + 0.0536211i
\(643\) −5.92403 −0.233621 −0.116810 0.993154i \(-0.537267\pi\)
−0.116810 + 0.993154i \(0.537267\pi\)
\(644\) −1.84805 12.5533i −0.0728236 0.494668i
\(645\) −29.3458 −1.15549
\(646\) −27.1892 5.24030i −1.06975 0.206177i
\(647\) 0.855593 + 17.9611i 0.0336368 + 0.706124i 0.951208 + 0.308551i \(0.0998442\pi\)
−0.917571 + 0.397572i \(0.869853\pi\)
\(648\) 4.83602 + 1.93605i 0.189977 + 0.0760553i
\(649\) −6.02545 + 8.46156i −0.236520 + 0.332145i
\(650\) −0.126553 + 0.880198i −0.00496383 + 0.0345242i
\(651\) −23.1133 30.8456i −0.905882 1.20893i
\(652\) −17.2762 11.1027i −0.676587 0.434816i
\(653\) −22.6477 + 2.16260i −0.886275 + 0.0846290i −0.528256 0.849085i \(-0.677154\pi\)
−0.358019 + 0.933714i \(0.616548\pi\)
\(654\) −1.93308 + 1.84319i −0.0755893 + 0.0720743i
\(655\) 16.5567 3.19105i 0.646926 0.124685i
\(656\) 0.0280301 0.0809878i 0.00109439 0.00316204i
\(657\) −13.2121 3.87943i −0.515455 0.151351i
\(658\) −8.60625 17.6956i −0.335506 0.689846i
\(659\) −3.71704 2.38880i −0.144795 0.0930543i 0.466237 0.884660i \(-0.345609\pi\)
−0.611033 + 0.791605i \(0.709246\pi\)
\(660\) −3.89315 3.71211i −0.151541 0.144494i
\(661\) 19.5868 + 15.4032i 0.761837 + 0.599116i 0.921646 0.388032i \(-0.126845\pi\)
−0.159808 + 0.987148i \(0.551088\pi\)
\(662\) 28.1268 + 2.68579i 1.09318 + 0.104386i
\(663\) 8.68485 6.82984i 0.337292 0.265249i
\(664\) −2.42739 + 1.55999i −0.0942010 + 0.0605393i
\(665\) 4.21372 + 24.9864i 0.163401 + 0.968931i
\(666\) 2.57428 0.0997511
\(667\) −17.6809 + 4.79256i −0.684608 + 0.185569i
\(668\) −7.60051 + 13.1645i −0.294073 + 0.509349i
\(669\) 2.61233 + 7.54784i 0.100999 + 0.291816i
\(670\) −11.1814 5.76442i −0.431975 0.222699i
\(671\) −1.97795 13.7569i −0.0763578 0.531080i
\(672\) −2.67226 + 2.67476i −0.103085 + 0.103181i
\(673\) 0.122614 0.852797i 0.00472641 0.0328729i −0.987322 0.158732i \(-0.949260\pi\)
0.992048 + 0.125859i \(0.0401686\pi\)
\(674\) −13.4239 12.7997i −0.517069 0.493025i
\(675\) −4.02630 + 2.07570i −0.154973 + 0.0798939i
\(676\) −6.82566 9.58530i −0.262525 0.368665i
\(677\) −1.57683 6.49978i −0.0606025 0.249807i 0.933450 0.358707i \(-0.116782\pi\)
−0.994053 + 0.108900i \(0.965267\pi\)
\(678\) 3.69873 + 4.26856i 0.142049 + 0.163933i
\(679\) −11.8605 19.4378i −0.455163 0.745955i
\(680\) 16.0920 + 4.72505i 0.617101 + 0.181197i
\(681\) −7.24212 + 0.691539i −0.277519 + 0.0264998i
\(682\) 14.1616 7.30082i 0.542276 0.279563i
\(683\) 8.19748 33.7905i 0.313668 1.29296i −0.568758 0.822505i \(-0.692576\pi\)
0.882426 0.470452i \(-0.155909\pi\)
\(684\) 3.53587 1.41555i 0.135197 0.0541248i
\(685\) 7.19307 + 15.7506i 0.274833 + 0.601800i
\(686\) −18.2595 + 3.09690i −0.697151 + 0.118240i
\(687\) 33.9530 21.8203i 1.29539 0.832495i
\(688\) −8.37202 1.61357i −0.319180 0.0615169i
\(689\) −4.07917 + 7.06533i −0.155404 + 0.269168i
\(690\) −5.72364 + 15.4826i −0.217895 + 0.589412i
\(691\) −4.38503 7.59510i −0.166815 0.288931i 0.770484 0.637460i \(-0.220015\pi\)
−0.937298 + 0.348529i \(0.886681\pi\)
\(692\) −9.24535 + 10.6697i −0.351455 + 0.405601i
\(693\) −3.64004 + 1.56078i −0.138274 + 0.0592890i
\(694\) −0.307271 2.13711i −0.0116638 0.0811237i
\(695\) −18.6646 + 26.2108i −0.707990 + 0.994233i
\(696\) 4.29078 + 3.37431i 0.162642 + 0.127903i
\(697\) 0.140694 0.579950i 0.00532918 0.0219672i
\(698\) −0.0733355 + 1.53950i −0.00277579 + 0.0582710i
\(699\) −4.98639 + 10.9187i −0.188603 + 0.412982i
\(700\) −0.152159 2.11353i −0.00575106 0.0798840i
\(701\) −5.96124 6.87964i −0.225153 0.259840i 0.631922 0.775032i \(-0.282266\pi\)
−0.857075 + 0.515191i \(0.827721\pi\)
\(702\) −2.05391 + 5.93440i −0.0775200 + 0.223979i
\(703\) −7.73483 + 7.37514i −0.291724 + 0.278159i
\(704\) −0.906560 1.27309i −0.0341673 0.0479812i
\(705\) −1.21803 + 25.5696i −0.0458736 + 0.963006i
\(706\) 5.71300 1.67749i 0.215012 0.0631331i
\(707\) −12.7952 14.0620i −0.481213 0.528854i
\(708\) −3.94569 8.63985i −0.148288 0.324706i
\(709\) 16.5809 13.0394i 0.622708 0.489703i −0.256244 0.966612i \(-0.582485\pi\)
0.878953 + 0.476909i \(0.158243\pi\)
\(710\) 1.68129 + 35.2947i 0.0630978 + 1.32459i
\(711\) 4.43172 + 12.8046i 0.166202 + 0.480210i
\(712\) 1.30288 + 2.25666i 0.0488275 + 0.0845718i
\(713\) −37.7909 31.0190i −1.41528 1.16167i
\(714\) −16.7533 + 20.3099i −0.626975 + 0.760079i
\(715\) 2.73693 3.15859i 0.102356 0.118125i
\(716\) 9.17605 + 4.73058i 0.342925 + 0.176790i
\(717\) −22.1030 8.84870i −0.825451 0.330461i
\(718\) −34.6032 3.30420i −1.29138 0.123312i
\(719\) −15.7242 + 6.29501i −0.586413 + 0.234764i −0.645846 0.763468i \(-0.723495\pi\)
0.0594327 + 0.998232i \(0.481071\pi\)
\(720\) −2.21345 + 0.649927i −0.0824904 + 0.0242214i
\(721\) −2.26253 + 10.4242i −0.0842612 + 0.388219i
\(722\) 1.32426 2.89972i 0.0492838 0.107916i
\(723\) 3.26245 + 13.4480i 0.121332 + 0.500136i
\(724\) 13.4731 2.59672i 0.500722 0.0965063i
\(725\) −3.00399 + 0.578972i −0.111565 + 0.0215025i
\(726\) −2.88309 11.8843i −0.107001 0.441066i
\(727\) −8.21507 + 17.9885i −0.304680 + 0.667157i −0.998600 0.0528956i \(-0.983155\pi\)
0.693920 + 0.720052i \(0.255882\pi\)
\(728\) −2.17460 1.97498i −0.0805959 0.0731975i
\(729\) −28.0529 + 8.23707i −1.03900 + 0.305077i
\(730\) −32.1455 + 12.8691i −1.18976 + 0.476307i
\(731\) −59.1017 5.64353i −2.18596 0.208734i
\(732\) 11.7980 + 4.72319i 0.436065 + 0.174574i
\(733\) 42.0583 + 21.6825i 1.55346 + 0.800863i 0.999498 0.0316812i \(-0.0100861\pi\)
0.553959 + 0.832544i \(0.313116\pi\)
\(734\) 14.2666 16.4645i 0.526590 0.607717i
\(735\) 22.7754 + 7.85875i 0.840085 + 0.289874i
\(736\) −2.48420 + 4.10229i −0.0915687 + 0.151212i
\(737\) 4.08153 + 7.06942i 0.150345 + 0.260405i
\(738\) 0.0268476 + 0.0775710i 0.000988273 + 0.00285543i
\(739\) 2.19236 + 46.0233i 0.0806472 + 1.69299i 0.570587 + 0.821237i \(0.306716\pi\)
−0.489940 + 0.871756i \(0.662981\pi\)
\(740\) 5.08833 4.00151i 0.187051 0.147098i
\(741\) −2.62100 5.73920i −0.0962850 0.210835i
\(742\) 5.91072 18.5203i 0.216989 0.679901i
\(743\) 48.4368 14.2223i 1.77697 0.521766i 0.782123 0.623124i \(-0.214137\pi\)
0.994850 + 0.101358i \(0.0323188\pi\)
\(744\) −0.693194 + 14.5519i −0.0254137 + 0.533500i
\(745\) −0.376335 0.528489i −0.0137879 0.0193623i
\(746\) −12.5158 + 11.9338i −0.458235 + 0.436926i
\(747\) 0.903920 2.61171i 0.0330727 0.0955573i
\(748\) −7.12682 8.22479i −0.260583 0.300728i
\(749\) −0.954403 13.2569i −0.0348731 0.484398i
\(750\) 6.00390 13.1467i 0.219232 0.480050i
\(751\) −0.0355489 + 0.746263i −0.00129720 + 0.0272315i −0.999423 0.0339617i \(-0.989188\pi\)
0.998126 + 0.0611933i \(0.0194906\pi\)
\(752\) −1.75343 + 7.22773i −0.0639409 + 0.263568i
\(753\) −5.68448 4.47032i −0.207154 0.162908i
\(754\) −2.46008 + 3.45469i −0.0895906 + 0.125812i
\(755\) 5.96156 + 41.4635i 0.216963 + 1.50901i
\(756\) 1.76956 14.8592i 0.0643584 0.540422i
\(757\) −27.7543 + 32.0301i −1.00875 + 1.16415i −0.0223530 + 0.999750i \(0.507116\pi\)
−0.986393 + 0.164405i \(0.947430\pi\)
\(758\) −8.91714 15.4449i −0.323885 0.560985i
\(759\) 8.55611 6.44381i 0.310567 0.233895i
\(760\) 4.78866 8.29421i 0.173703 0.300862i
\(761\) 14.5463 + 2.80357i 0.527304 + 0.101629i 0.445953 0.895056i \(-0.352865\pi\)
0.0813502 + 0.996686i \(0.474077\pi\)
\(762\) 9.24141 5.93909i 0.334781 0.215151i
\(763\) 4.22370 + 2.57176i 0.152908 + 0.0931041i
\(764\) −5.93077 12.9866i −0.214568 0.469838i
\(765\) −14.9131 + 5.97032i −0.539185 + 0.215857i
\(766\) −7.11391 + 29.3239i −0.257036 + 1.05952i
\(767\) 6.55927 3.38154i 0.236841 0.122100i
\(768\) 1.42258 0.135840i 0.0513330 0.00490170i
\(769\) −1.34015 0.393503i −0.0483270 0.0141901i 0.257480 0.966284i \(-0.417108\pi\)
−0.305807 + 0.952094i \(0.598926\pi\)
\(770\) −4.76882 + 8.74319i −0.171856 + 0.315083i
\(771\) −10.8255 12.4933i −0.389872 0.449936i
\(772\) 0.971422 + 4.00426i 0.0349622 + 0.144116i
\(773\) −1.64687 2.31270i −0.0592336 0.0831820i 0.783897 0.620891i \(-0.213229\pi\)
−0.843130 + 0.537709i \(0.819290\pi\)
\(774\) 7.25857 3.74205i 0.260904 0.134505i
\(775\) −5.90917 5.63438i −0.212264 0.202393i
\(776\) −1.22483 + 8.51887i −0.0439688 + 0.305810i
\(777\) 2.63468 + 9.81435i 0.0945186 + 0.352088i
\(778\) −2.73195 19.0012i −0.0979453 0.681224i
\(779\) −0.302904 0.156158i −0.0108527 0.00559494i
\(780\) 1.24990 + 3.61135i 0.0447536 + 0.129307i
\(781\) 11.4644 19.8568i 0.410227 0.710534i
\(782\) −14.5048 + 30.0808i −0.518689 + 1.07569i
\(783\) −21.6043 −0.772073
\(784\) 6.06546 + 3.49431i 0.216623 + 0.124797i
\(785\) −6.55015 + 4.20952i −0.233785 + 0.150244i
\(786\) 7.86406 6.18437i 0.280502 0.220589i
\(787\) 38.4909 + 3.67544i 1.37205 + 0.131015i 0.754906 0.655833i \(-0.227682\pi\)
0.617147 + 0.786848i \(0.288288\pi\)
\(788\) −21.0351 16.5422i −0.749345 0.589291i
\(789\) 0.313534 + 0.298954i 0.0111621 + 0.0106430i
\(790\) 28.6635 + 18.4209i 1.01980 + 0.655387i
\(791\) 5.85713 8.66265i 0.208256 0.308009i
\(792\) 1.43631 + 0.421738i 0.0510370 + 0.0149858i
\(793\) −3.22937 + 9.33066i −0.114678 + 0.331341i
\(794\) 31.3347 6.03928i 1.11203 0.214326i
\(795\) −18.3036 + 17.4524i −0.649161 + 0.618973i
\(796\) −16.7632 + 1.60069i −0.594154 + 0.0567348i
\(797\) 5.82665 + 3.74456i 0.206391 + 0.132639i 0.639753 0.768581i \(-0.279037\pi\)
−0.433362 + 0.901220i \(0.642673\pi\)
\(798\) 9.01557 + 12.0316i 0.319148 + 0.425915i
\(799\) −7.37040 + 51.2622i −0.260746 + 1.81353i
\(800\) −0.464572 + 0.652400i −0.0164251 + 0.0230658i
\(801\) −2.31705 0.927605i −0.0818688 0.0327753i
\(802\) −0.0557386 1.17010i −0.00196820 0.0413176i
\(803\) 22.0627 + 4.25223i 0.778574 + 0.150058i
\(804\) −7.46406 −0.263237
\(805\) 30.4318 + 2.80250i 1.07258 + 0.0987753i
\(806\) −11.3190 −0.398693
\(807\) 9.23632 + 1.78015i 0.325134 + 0.0626644i
\(808\) 0.341917 + 7.17772i 0.0120286 + 0.252511i
\(809\) −34.4297 13.7836i −1.21048 0.484604i −0.323421 0.946255i \(-0.604833\pi\)
−0.887062 + 0.461651i \(0.847257\pi\)
\(810\) −7.27758 + 10.2199i −0.255708 + 0.359092i
\(811\) 4.55208 31.6604i 0.159845 1.11175i −0.739071 0.673627i \(-0.764735\pi\)
0.898916 0.438120i \(-0.144356\pi\)
\(812\) 3.97393 9.29204i 0.139458 0.326087i
\(813\) −2.32413 1.49363i −0.0815107 0.0523838i
\(814\) −4.18148 + 0.399283i −0.146561 + 0.0139949i
\(815\) 35.7971 34.1324i 1.25392 1.19561i
\(816\) 9.77122 1.88325i 0.342061 0.0659269i
\(817\) −11.0888 + 32.0390i −0.387948 + 1.12090i
\(818\) −12.1377 3.56394i −0.424384 0.124610i
\(819\) 2.80658 + 0.199408i 0.0980697 + 0.00696786i
\(820\) 0.173645 + 0.111595i 0.00606395 + 0.00389706i
\(821\) −3.87215 3.69208i −0.135139 0.128855i 0.619495 0.785000i \(-0.287337\pi\)
−0.754634 + 0.656146i \(0.772186\pi\)
\(822\) 8.07577 + 6.35085i 0.281675 + 0.221511i
\(823\) 25.3148 + 2.41727i 0.882419 + 0.0842608i 0.526419 0.850225i \(-0.323534\pi\)
0.356000 + 0.934486i \(0.384140\pi\)
\(824\) 3.16915 2.49225i 0.110403 0.0868216i
\(825\) 1.50482 0.967086i 0.0523910 0.0336696i
\(826\) −13.5549 + 11.2025i −0.471634 + 0.389786i
\(827\) −4.45162 −0.154798 −0.0773990 0.997000i \(-0.524662\pi\)
−0.0773990 + 0.997000i \(0.524662\pi\)
\(828\) −0.558554 4.55941i −0.0194111 0.158451i
\(829\) 4.98431 8.63309i 0.173112 0.299839i −0.766394 0.642371i \(-0.777951\pi\)
0.939506 + 0.342531i \(0.111284\pi\)
\(830\) −2.27299 6.56739i −0.0788968 0.227957i
\(831\) 4.25533 + 2.19378i 0.147616 + 0.0761012i
\(832\) 0.158013 + 1.09900i 0.00547810 + 0.0381010i
\(833\) 44.3579 + 20.2073i 1.53691 + 0.700142i
\(834\) −2.71706 + 18.8976i −0.0940841 + 0.654369i
\(835\) −26.4972 25.2650i −0.916973 0.874332i
\(836\) −5.52387 + 2.84775i −0.191047 + 0.0984916i
\(837\) −33.4456 46.9678i −1.15605 1.62344i
\(838\) 5.36370 + 22.1095i 0.185286 + 0.763759i
\(839\) −1.27933 1.47643i −0.0441674 0.0509719i 0.733236 0.679974i \(-0.238009\pi\)
−0.777403 + 0.629002i \(0.783464\pi\)
\(840\) −4.74321 7.77353i −0.163656 0.268212i
\(841\) 13.8257 + 4.05960i 0.476749 + 0.139986i
\(842\) 20.5119 1.95865i 0.706887 0.0674995i
\(843\) −32.3897 + 16.6981i −1.11556 + 0.575112i
\(844\) 1.16076 4.78472i 0.0399550 0.164697i
\(845\) 26.3113 10.5335i 0.905136 0.362362i
\(846\) −2.95925 6.47985i −0.101741 0.222782i
\(847\) −19.8662 + 10.8599i −0.682612 + 0.373150i
\(848\) −6.18141 + 3.97255i −0.212271 + 0.136418i
\(849\) 12.3628 + 2.38273i 0.424290 + 0.0817752i
\(850\) −2.78852 + 4.82985i −0.0956453 + 0.165663i
\(851\) 6.21009 + 11.2950i 0.212879 + 0.387187i
\(852\) 10.4827 + 18.1565i 0.359130 + 0.622031i
\(853\) 32.8009 37.8543i 1.12308 1.29611i 0.172716 0.984972i \(-0.444746\pi\)
0.950366 0.311134i \(-0.100709\pi\)
\(854\) 2.78228 23.3631i 0.0952078 0.799467i
\(855\) 1.30549 + 9.07989i 0.0446469 + 0.310526i
\(856\) −2.91399 + 4.09212i −0.0995980 + 0.139866i
\(857\) 2.28553 + 1.79736i 0.0780723 + 0.0613967i 0.656432 0.754385i \(-0.272065\pi\)
−0.578360 + 0.815782i \(0.696307\pi\)
\(858\) 0.584634 2.40989i 0.0199591 0.0822724i
\(859\) 2.40350 50.4557i 0.0820064 1.72153i −0.465774 0.884904i \(-0.654224\pi\)
0.547781 0.836622i \(-0.315473\pi\)
\(860\) 8.53061 18.6794i 0.290892 0.636964i
\(861\) −0.268260 + 0.181747i −0.00914226 + 0.00619391i
\(862\) 23.3458 + 26.9424i 0.795160 + 0.917663i
\(863\) −11.5163 + 33.2741i −0.392019 + 1.13266i 0.560492 + 0.828160i \(0.310612\pi\)
−0.952511 + 0.304504i \(0.901509\pi\)
\(864\) −4.09338 + 3.90303i −0.139260 + 0.132784i
\(865\) −19.7239 27.6983i −0.670633 0.941772i
\(866\) 1.51649 31.8351i 0.0515325 1.08180i
\(867\) 43.1764 12.6777i 1.46635 0.430559i
\(868\) 26.3530 5.74568i 0.894478 0.195021i
\(869\) −9.18465 20.1116i −0.311568 0.682239i
\(870\) −10.3344 + 8.12704i −0.350368 + 0.275533i
\(871\) −0.275937 5.79264i −0.00934978 0.196276i
\(872\) −0.611309 1.76626i −0.0207015 0.0598131i
\(873\) −4.12169 7.13897i −0.139498 0.241618i
\(874\) 14.7407 + 12.0993i 0.498612 + 0.409264i
\(875\) −26.3895 4.42489i −0.892129 0.149589i
\(876\) −13.4539 + 15.5266i −0.454566 + 0.524597i
\(877\) 28.8225 + 14.8590i 0.973267 + 0.501754i 0.870081 0.492908i \(-0.164066\pi\)
0.103186 + 0.994662i \(0.467096\pi\)
\(878\) −24.5175 9.81532i −0.827425 0.331251i
\(879\) 26.0330 + 2.48585i 0.878071 + 0.0838456i
\(880\) 3.49457 1.39902i 0.117802 0.0471608i
\(881\) 38.7436 11.3761i 1.30531 0.383272i 0.446137 0.894965i \(-0.352800\pi\)
0.859169 + 0.511693i \(0.170981\pi\)
\(882\) −6.63553 + 0.960398i −0.223430 + 0.0323383i
\(883\) −5.76693 + 12.6278i −0.194073 + 0.424960i −0.981504 0.191443i \(-0.938683\pi\)
0.787431 + 0.616403i \(0.211411\pi\)
\(884\) 1.82276 + 7.51354i 0.0613062 + 0.252708i
\(885\) 22.4630 4.32940i 0.755087 0.145531i
\(886\) −11.8758 + 2.28887i −0.398975 + 0.0768961i
\(887\) −4.13629 17.0500i −0.138883 0.572484i −0.998141 0.0609418i \(-0.980590\pi\)
0.859258 0.511542i \(-0.170926\pi\)
\(888\) 1.59553 3.49373i 0.0535425 0.117242i
\(889\) −15.0557 13.6736i −0.504951 0.458599i
\(890\) −6.02178 + 1.76815i −0.201850 + 0.0592686i
\(891\) 7.55813 3.02582i 0.253207 0.101369i
\(892\) −5.56380 0.531278i −0.186290 0.0177885i
\(893\) 27.4559 + 10.9917i 0.918777 + 0.367823i
\(894\) −0.342157 0.176394i −0.0114434 0.00589951i
\(895\) −16.2829 + 18.7915i −0.544277 + 0.628129i
\(896\) −0.925758 2.47850i −0.0309274 0.0828009i
\(897\) −7.50040 + 1.28362i −0.250431 + 0.0428588i
\(898\) −17.8246 30.8731i −0.594814 1.03025i
\(899\) −12.7362 36.7988i −0.424776 1.22731i
\(900\) −0.0365009 0.766249i −0.00121670 0.0255416i
\(901\) −40.2192 + 31.6287i −1.33990 + 1.05371i
\(902\) −0.0556411 0.121837i −0.00185265 0.00405673i
\(903\) 21.6954 + 23.8432i 0.721976 + 0.793453i
\(904\) −3.79225 + 1.11351i −0.126128 + 0.0370347i
\(905\) −1.57245 + 33.0097i −0.0522699 + 1.09728i
\(906\) 14.4172 + 20.2461i 0.478978 + 0.672631i
\(907\) −3.41439 + 3.25561i −0.113373 + 0.108101i −0.744645 0.667460i \(-0.767381\pi\)
0.631273 + 0.775561i \(0.282533\pi\)
\(908\) 1.66505 4.81084i 0.0552566 0.159653i
\(909\) −4.50721 5.20159i −0.149495 0.172526i
\(910\) 5.85746 3.96845i 0.194173 0.131553i
\(911\) 18.5813 40.6874i 0.615626 1.34803i −0.303032 0.952980i \(-0.597999\pi\)
0.918658 0.395053i \(-0.129274\pi\)
\(912\) 0.270387 5.67613i 0.00895341 0.187955i
\(913\) −1.06318 + 4.38249i −0.0351861 + 0.145039i
\(914\) 18.1769 + 14.2945i 0.601238 + 0.472819i
\(915\) −17.7544 + 24.9325i −0.586941 + 0.824244i
\(916\) 4.01933 + 27.9550i 0.132802 + 0.923660i
\(917\) −14.8331 11.0931i −0.489832 0.366326i
\(918\) −25.7913 + 29.7647i −0.851239 + 0.982382i
\(919\) 0.229512 + 0.397526i 0.00757089 + 0.0131132i 0.869786 0.493429i \(-0.164257\pi\)
−0.862215 + 0.506542i \(0.830923\pi\)
\(920\) −8.19128 8.14394i −0.270059 0.268498i
\(921\) −12.1235 + 20.9985i −0.399483 + 0.691924i
\(922\) −32.7419 6.31049i −1.07830 0.207825i
\(923\) −13.7032 + 8.80651i −0.451046 + 0.289870i
\(924\) −0.137854 + 5.90752i −0.00453505 + 0.194343i
\(925\) 0.894210 + 1.95805i 0.0294015 + 0.0643802i
\(926\) 20.1843 8.08056i 0.663296 0.265544i
\(927\) −0.910414 + 3.75278i −0.0299019 + 0.123257i
\(928\) −3.39514 + 1.75032i −0.111451 + 0.0574569i
\(929\) 27.8858 2.66277i 0.914904 0.0873627i 0.373027 0.927821i \(-0.378320\pi\)
0.541877 + 0.840458i \(0.317714\pi\)
\(930\) −33.6669 9.88549i −1.10398 0.324158i
\(931\) 17.1860 21.8961i 0.563250 0.717615i
\(932\) −5.50054 6.34796i −0.180176 0.207934i
\(933\) −2.91613 12.0204i −0.0954698 0.393532i
\(934\) −15.2613 21.4315i −0.499364 0.701259i
\(935\) 23.2979 12.0109i 0.761922 0.392798i
\(936\) −0.769662 0.733871i −0.0251572 0.0239873i
\(937\) 3.90761 27.1780i 0.127656 0.887868i −0.820858 0.571132i \(-0.806504\pi\)
0.948514 0.316735i \(-0.102587\pi\)
\(938\) 3.58287 + 13.3464i 0.116985 + 0.435777i
\(939\) −0.424812 2.95463i −0.0138632 0.0964207i
\(940\) −15.9217 8.20820i −0.519308 0.267722i
\(941\) −17.5586 50.7323i −0.572395 1.65383i −0.743626 0.668596i \(-0.766895\pi\)
0.171230 0.985231i \(-0.445226\pi\)
\(942\) −2.30991 + 4.00087i −0.0752608 + 0.130356i
\(943\) −0.275587 + 0.304927i −0.00897434 + 0.00992978i
\(944\) 6.64649 0.216325
\(945\) 33.7748 + 12.5793i 1.09869 + 0.409205i
\(946\) −11.2099 + 7.20419i −0.364467 + 0.234228i
\(947\) −29.6417 + 23.3105i −0.963225 + 0.757489i −0.970155 0.242487i \(-0.922037\pi\)
0.00692922 + 0.999976i \(0.497794\pi\)
\(948\) 20.1248 + 1.92168i 0.653623 + 0.0624134i
\(949\) −12.5471 9.86719i −0.407298 0.320302i
\(950\) 2.30493 + 2.19774i 0.0747818 + 0.0713043i
\(951\) 3.28062 + 2.10833i 0.106381 + 0.0683672i
\(952\) −8.05778 16.5679i −0.261154 0.536968i
\(953\) −26.8878 7.89496i −0.870980 0.255743i −0.184448 0.982842i \(-0.559050\pi\)
−0.686532 + 0.727100i \(0.740868\pi\)
\(954\) 2.30186 6.65078i 0.0745254 0.215327i
\(955\) 33.7642 6.50752i 1.09259 0.210579i
\(956\) 12.0576 11.4969i 0.389971 0.371837i
\(957\) 8.49258 0.810943i 0.274526 0.0262141i
\(958\) 3.84048 + 2.46813i 0.124080 + 0.0797416i
\(959\) 7.47941 17.4887i 0.241523 0.564741i
\(960\) −0.489831 + 3.40685i −0.0158092 + 0.109956i
\(961\) 42.3021 59.4050i 1.36458 1.91629i
\(962\) 2.77036 + 1.10909i 0.0893201 + 0.0357584i
\(963\) −0.228949 4.80623i −0.00737777 0.154878i
\(964\) −9.50840 1.83259i −0.306245 0.0590239i
\(965\) −9.92402 −0.319466
\(966\) 16.8110 6.79587i 0.540884 0.218653i
\(967\) 2.59698 0.0835134 0.0417567 0.999128i \(-0.486705\pi\)
0.0417567 + 0.999128i \(0.486705\pi\)
\(968\) 8.40276 + 1.61950i 0.270075 + 0.0520527i
\(969\) −1.88281 39.5251i −0.0604847 1.26973i
\(970\) −19.2439 7.70410i −0.617885 0.247364i
\(971\) −10.9032 + 15.3114i −0.349900 + 0.491365i −0.951593 0.307362i \(-0.900554\pi\)
0.601693 + 0.798727i \(0.294493\pi\)
\(972\) 1.35535 9.42664i 0.0434728 0.302360i
\(973\) 35.0949 4.21279i 1.12509 0.135056i
\(974\) 7.61675 + 4.89499i 0.244056 + 0.156845i
\(975\) −1.26503 + 0.120796i −0.0405134 + 0.00386856i
\(976\) −6.43602 + 6.13674i −0.206012 + 0.196432i
\(977\) −11.6449 + 2.24437i −0.372553 + 0.0718037i −0.372091 0.928196i \(-0.621359\pi\)
−0.000461848 1.00000i \(0.500147\pi\)
\(978\) 9.59856 27.7332i 0.306928 0.886811i
\(979\) 3.90753 + 1.14736i 0.124885 + 0.0366696i
\(980\) −11.6230 + 12.2127i −0.371282 + 0.390122i
\(981\) 1.50601 + 0.967857i 0.0480833 + 0.0309013i
\(982\) −23.1765 22.0987i −0.739590 0.705198i
\(983\) −13.5508 10.6564i −0.432202 0.339888i 0.378239 0.925708i \(-0.376530\pi\)
−0.810441 + 0.585821i \(0.800772\pi\)
\(984\) 0.121917 + 0.0116417i 0.00388657 + 0.000371123i
\(985\) 50.6632 39.8420i 1.61426 1.26947i
\(986\) −22.3761 + 14.3802i −0.712600 + 0.457960i
\(987\) 21.6756 17.9139i 0.689940 0.570207i
\(988\) 4.41507 0.140462
\(989\) 33.9291 + 22.8207i 1.07888 + 0.725658i
\(990\) −1.80270 + 3.12237i −0.0572936 + 0.0992354i
\(991\) −0.0975994 0.281995i −0.00310035 0.00895787i 0.943440 0.331543i \(-0.107569\pi\)
−0.946540 + 0.322585i \(0.895448\pi\)
\(992\) −9.06122 4.67138i −0.287694 0.148317i
\(993\) 5.74632 + 39.9665i 0.182354 + 1.26830i
\(994\) 27.4337 27.4594i 0.870143 0.870959i
\(995\) 5.77198 40.1450i 0.182984 1.27268i
\(996\) −2.98428 2.84550i −0.0945605 0.0901633i
\(997\) 16.3481 8.42801i 0.517748 0.266918i −0.179487 0.983760i \(-0.557444\pi\)
0.697235 + 0.716843i \(0.254413\pi\)
\(998\) 19.7008 + 27.6659i 0.623618 + 0.875748i
\(999\) 3.58382 + 14.7727i 0.113387 + 0.467388i
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 322.2.m.a.39.3 160
7.2 even 3 inner 322.2.m.a.177.6 yes 160
23.13 even 11 inner 322.2.m.a.151.6 yes 160
161.128 even 33 inner 322.2.m.a.289.3 yes 160
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
322.2.m.a.39.3 160 1.1 even 1 trivial
322.2.m.a.151.6 yes 160 23.13 even 11 inner
322.2.m.a.177.6 yes 160 7.2 even 3 inner
322.2.m.a.289.3 yes 160 161.128 even 33 inner