Properties

Label 189.2.u.a.4.9
Level $189$
Weight $2$
Character 189.4
Analytic conductor $1.509$
Analytic rank $0$
Dimension $132$
CM no
Inner twists $2$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [189,2,Mod(4,189)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(189, base_ring=CyclotomicField(18))
 
chi = DirichletCharacter(H, H._module([2, 12]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("189.4");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 189 = 3^{3} \cdot 7 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 189.u (of order \(9\), degree \(6\), 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: \(1.50917259820\)
Analytic rank: \(0\)
Dimension: \(132\)
Relative dimension: \(22\) over \(\Q(\zeta_{9})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{9}]$

Embedding invariants

Embedding label 4.9
Character \(\chi\) \(=\) 189.4
Dual form 189.2.u.a.142.9

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-0.165988 - 0.941364i) q^{2} +(1.70872 - 0.283332i) q^{3} +(1.02077 - 0.371530i) q^{4} +(-2.75749 + 1.00364i) q^{5} +(-0.550345 - 1.56150i) q^{6} +(0.0940141 - 2.64408i) q^{7} +(-1.47507 - 2.55489i) q^{8} +(2.83945 - 0.968269i) q^{9} +O(q^{10})\) \(q+(-0.165988 - 0.941364i) q^{2} +(1.70872 - 0.283332i) q^{3} +(1.02077 - 0.371530i) q^{4} +(-2.75749 + 1.00364i) q^{5} +(-0.550345 - 1.56150i) q^{6} +(0.0940141 - 2.64408i) q^{7} +(-1.47507 - 2.55489i) q^{8} +(2.83945 - 0.968269i) q^{9} +(1.40250 + 2.42921i) q^{10} +(1.43006 + 0.520500i) q^{11} +(1.63894 - 0.924057i) q^{12} +(1.16189 - 0.422892i) q^{13} +(-2.50465 + 0.350384i) q^{14} +(-4.42741 + 2.49623i) q^{15} +(-0.495961 + 0.416160i) q^{16} +(2.85926 + 4.95239i) q^{17} +(-1.38281 - 2.51223i) q^{18} +(-2.37888 + 4.12034i) q^{19} +(-2.44188 + 2.04898i) q^{20} +(-0.588508 - 4.54463i) q^{21} +(0.252607 - 1.43261i) q^{22} +(-0.469032 + 2.66001i) q^{23} +(-3.24436 - 3.94766i) q^{24} +(2.76623 - 2.32114i) q^{25} +(-0.590954 - 1.02356i) q^{26} +(4.57748 - 2.45901i) q^{27} +(-0.886389 - 2.73393i) q^{28} +(-3.71574 - 1.35242i) q^{29} +(3.08476 + 3.75346i) q^{30} +(-6.85655 + 2.49558i) q^{31} +(-4.04579 - 3.39482i) q^{32} +(2.59105 + 0.484207i) q^{33} +(4.18740 - 3.51365i) q^{34} +(2.39447 + 7.38538i) q^{35} +(2.53868 - 2.04332i) q^{36} +1.19678 q^{37} +(4.27360 + 1.55546i) q^{38} +(1.86552 - 1.05180i) q^{39} +(6.63168 + 5.56464i) q^{40} +(-1.59504 + 0.580547i) q^{41} +(-4.18047 + 1.30835i) q^{42} +(2.22210 + 12.6022i) q^{43} +1.65315 q^{44} +(-6.85795 + 5.51979i) q^{45} +2.58189 q^{46} +(0.399825 + 0.145524i) q^{47} +(-0.729546 + 0.851623i) q^{48} +(-6.98232 - 0.497162i) q^{49} +(-2.64420 - 2.21874i) q^{50} +(6.28885 + 7.65213i) q^{51} +(1.02890 - 0.863351i) q^{52} +(5.66725 - 9.81596i) q^{53} +(-3.07463 - 3.90091i) q^{54} -4.46578 q^{55} +(-6.89401 + 3.66000i) q^{56} +(-2.89741 + 7.71451i) q^{57} +(-0.656351 + 3.72235i) q^{58} +(-7.92414 - 6.64914i) q^{59} +(-3.59195 + 4.19300i) q^{60} +(7.75603 + 2.82296i) q^{61} +(3.48735 + 6.04027i) q^{62} +(-2.29323 - 7.59876i) q^{63} +(-3.17164 + 5.49344i) q^{64} +(-2.77946 + 2.33224i) q^{65} +(0.0257319 - 2.51949i) q^{66} +(-0.151447 + 0.858898i) q^{67} +(4.75861 + 3.99295i) q^{68} +(-0.0477781 + 4.67811i) q^{69} +(6.55488 - 3.47996i) q^{70} +(4.88280 - 8.45725i) q^{71} +(-6.66220 - 5.82621i) q^{72} +9.98140 q^{73} +(-0.198651 - 1.12660i) q^{74} +(4.06905 - 4.74993i) q^{75} +(-0.897459 + 5.08974i) q^{76} +(1.51069 - 3.73227i) q^{77} +(-1.29978 - 1.58155i) q^{78} +(-1.89665 - 10.7565i) q^{79} +(0.949929 - 1.64533i) q^{80} +(7.12491 - 5.49870i) q^{81} +(0.811263 + 1.40515i) q^{82} +(3.57186 + 1.30005i) q^{83} +(-2.28920 - 4.42038i) q^{84} +(-12.8548 - 10.7865i) q^{85} +(11.4944 - 4.18361i) q^{86} +(-6.73234 - 1.25812i) q^{87} +(-0.779617 - 4.42143i) q^{88} +(-0.466166 + 0.807423i) q^{89} +(6.33447 + 5.53961i) q^{90} +(-1.00893 - 3.11188i) q^{91} +(0.509500 + 2.88952i) q^{92} +(-11.0088 + 6.20692i) q^{93} +(0.0706253 - 0.400536i) q^{94} +(2.42438 - 13.7493i) q^{95} +(-7.87497 - 4.65449i) q^{96} +(-2.77626 - 15.7449i) q^{97} +(0.690971 + 6.65543i) q^{98} +(4.56457 + 0.0932468i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 132 q - 3 q^{2} - 3 q^{3} - 3 q^{4} - 3 q^{5} - 18 q^{6} - 6 q^{7} - 6 q^{8} - 15 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 132 q - 3 q^{2} - 3 q^{3} - 3 q^{4} - 3 q^{5} - 18 q^{6} - 6 q^{7} - 6 q^{8} - 15 q^{9} + 3 q^{10} - 15 q^{11} - 3 q^{12} - 12 q^{13} - 30 q^{14} + 9 q^{16} + 27 q^{17} - 3 q^{18} + 3 q^{19} - 18 q^{20} + 15 q^{21} - 12 q^{22} - 36 q^{23} - 72 q^{24} - 3 q^{25} + 30 q^{26} - 12 q^{27} - 12 q^{28} - 30 q^{29} - 3 q^{30} - 3 q^{31} - 75 q^{32} + 15 q^{33} - 18 q^{34} + 15 q^{35} - 60 q^{36} - 6 q^{37} + 69 q^{38} + 51 q^{39} + 51 q^{40} - 39 q^{42} - 12 q^{43} - 6 q^{44} - 21 q^{45} - 6 q^{46} - 21 q^{47} + 90 q^{48} - 42 q^{49} - 39 q^{50} + 33 q^{51} + 9 q^{52} + 9 q^{53} - 9 q^{54} - 24 q^{55} + 111 q^{56} - 18 q^{57} - 3 q^{58} + 27 q^{59} - 63 q^{60} - 21 q^{61} + 75 q^{62} + 63 q^{63} - 30 q^{64} - 90 q^{65} - 3 q^{66} - 3 q^{67} - 30 q^{68} - 6 q^{69} + 39 q^{70} - 18 q^{71} + 183 q^{72} - 42 q^{73} + 51 q^{74} - 45 q^{75} - 24 q^{76} + 15 q^{77} - 30 q^{78} + 15 q^{79} + 102 q^{80} - 87 q^{81} - 6 q^{82} - 42 q^{83} + 135 q^{84} - 63 q^{85} - 93 q^{86} + 75 q^{87} - 51 q^{88} + 75 q^{89} - 39 q^{90} - 21 q^{91} - 66 q^{92} + 81 q^{93} + 33 q^{94} + 15 q^{95} - 171 q^{96} - 12 q^{97} - 36 q^{98} + 24 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/189\mathbb{Z}\right)^\times\).

\(n\) \(29\) \(136\)
\(\chi(n)\) \(e\left(\frac{1}{9}\right)\) \(e\left(\frac{2}{3}\right)\)

Coefficient data

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



Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.165988 0.941364i −0.117371 0.665645i −0.985549 0.169392i \(-0.945820\pi\)
0.868178 0.496254i \(-0.165291\pi\)
\(3\) 1.70872 0.283332i 0.986530 0.163582i
\(4\) 1.02077 0.371530i 0.510385 0.185765i
\(5\) −2.75749 + 1.00364i −1.23319 + 0.448843i −0.874688 0.484687i \(-0.838934\pi\)
−0.358499 + 0.933530i \(0.616711\pi\)
\(6\) −0.550345 1.56150i −0.224678 0.637479i
\(7\) 0.0940141 2.64408i 0.0355340 0.999368i
\(8\) −1.47507 2.55489i −0.521515 0.903290i
\(9\) 2.83945 0.968269i 0.946482 0.322756i
\(10\) 1.40250 + 2.42921i 0.443511 + 0.768183i
\(11\) 1.43006 + 0.520500i 0.431180 + 0.156937i 0.548487 0.836159i \(-0.315204\pi\)
−0.117307 + 0.993096i \(0.537426\pi\)
\(12\) 1.63894 0.924057i 0.473122 0.266752i
\(13\) 1.16189 0.422892i 0.322249 0.117289i −0.175830 0.984420i \(-0.556261\pi\)
0.498079 + 0.867131i \(0.334039\pi\)
\(14\) −2.50465 + 0.350384i −0.669395 + 0.0936440i
\(15\) −4.42741 + 2.49623i −1.14315 + 0.644524i
\(16\) −0.495961 + 0.416160i −0.123990 + 0.104040i
\(17\) 2.85926 + 4.95239i 0.693473 + 1.20113i 0.970693 + 0.240325i \(0.0772539\pi\)
−0.277219 + 0.960807i \(0.589413\pi\)
\(18\) −1.38281 2.51223i −0.325931 0.592139i
\(19\) −2.37888 + 4.12034i −0.545752 + 0.945270i 0.452807 + 0.891608i \(0.350423\pi\)
−0.998559 + 0.0536616i \(0.982911\pi\)
\(20\) −2.44188 + 2.04898i −0.546021 + 0.458166i
\(21\) −0.588508 4.54463i −0.128423 0.991719i
\(22\) 0.252607 1.43261i 0.0538560 0.305433i
\(23\) −0.469032 + 2.66001i −0.0977999 + 0.554651i 0.896053 + 0.443946i \(0.146422\pi\)
−0.993853 + 0.110705i \(0.964689\pi\)
\(24\) −3.24436 3.94766i −0.662252 0.805813i
\(25\) 2.76623 2.32114i 0.553245 0.464228i
\(26\) −0.590954 1.02356i −0.115896 0.200737i
\(27\) 4.57748 2.45901i 0.880936 0.473236i
\(28\) −0.886389 2.73393i −0.167512 0.516664i
\(29\) −3.71574 1.35242i −0.689996 0.251138i −0.0268623 0.999639i \(-0.508552\pi\)
−0.663133 + 0.748501i \(0.730774\pi\)
\(30\) 3.08476 + 3.75346i 0.563198 + 0.685286i
\(31\) −6.85655 + 2.49558i −1.23147 + 0.448219i −0.874102 0.485743i \(-0.838549\pi\)
−0.357371 + 0.933963i \(0.616327\pi\)
\(32\) −4.04579 3.39482i −0.715201 0.600125i
\(33\) 2.59105 + 0.484207i 0.451044 + 0.0842896i
\(34\) 4.18740 3.51365i 0.718133 0.602585i
\(35\) 2.39447 + 7.38538i 0.404740 + 1.24836i
\(36\) 2.53868 2.04332i 0.423114 0.340553i
\(37\) 1.19678 0.196749 0.0983746 0.995149i \(-0.468636\pi\)
0.0983746 + 0.995149i \(0.468636\pi\)
\(38\) 4.27360 + 1.55546i 0.693270 + 0.252330i
\(39\) 1.86552 1.05180i 0.298722 0.168423i
\(40\) 6.63168 + 5.56464i 1.04856 + 0.879847i
\(41\) −1.59504 + 0.580547i −0.249103 + 0.0906661i −0.463554 0.886069i \(-0.653426\pi\)
0.214451 + 0.976735i \(0.431204\pi\)
\(42\) −4.18047 + 1.30835i −0.645060 + 0.201883i
\(43\) 2.22210 + 12.6022i 0.338867 + 1.92181i 0.385087 + 0.922880i \(0.374171\pi\)
−0.0462199 + 0.998931i \(0.514717\pi\)
\(44\) 1.65315 0.249221
\(45\) −6.85795 + 5.51979i −1.02232 + 0.822841i
\(46\) 2.58189 0.380679
\(47\) 0.399825 + 0.145524i 0.0583204 + 0.0212269i 0.371016 0.928627i \(-0.379010\pi\)
−0.312695 + 0.949854i \(0.601232\pi\)
\(48\) −0.729546 + 0.851623i −0.105301 + 0.122921i
\(49\) −6.98232 0.497162i −0.997475 0.0710231i
\(50\) −2.64420 2.21874i −0.373946 0.313778i
\(51\) 6.28885 + 7.65213i 0.880615 + 1.07151i
\(52\) 1.02890 0.863351i 0.142683 0.119725i
\(53\) 5.66725 9.81596i 0.778456 1.34833i −0.154375 0.988012i \(-0.549336\pi\)
0.932831 0.360313i \(-0.117330\pi\)
\(54\) −3.07463 3.90091i −0.418404 0.530846i
\(55\) −4.46578 −0.602166
\(56\) −6.89401 + 3.66000i −0.921251 + 0.489088i
\(57\) −2.89741 + 7.71451i −0.383772 + 1.02181i
\(58\) −0.656351 + 3.72235i −0.0861831 + 0.488769i
\(59\) −7.92414 6.64914i −1.03163 0.865644i −0.0405903 0.999176i \(-0.512924\pi\)
−0.991045 + 0.133531i \(0.957368\pi\)
\(60\) −3.59195 + 4.19300i −0.463718 + 0.541313i
\(61\) 7.75603 + 2.82296i 0.993058 + 0.361444i 0.786904 0.617076i \(-0.211683\pi\)
0.206154 + 0.978519i \(0.433905\pi\)
\(62\) 3.48735 + 6.04027i 0.442894 + 0.767115i
\(63\) −2.29323 7.59876i −0.288920 0.957353i
\(64\) −3.17164 + 5.49344i −0.396455 + 0.686680i
\(65\) −2.77946 + 2.33224i −0.344749 + 0.289279i
\(66\) 0.0257319 2.51949i 0.00316738 0.310128i
\(67\) −0.151447 + 0.858898i −0.0185022 + 0.104931i −0.992660 0.120936i \(-0.961410\pi\)
0.974158 + 0.225867i \(0.0725215\pi\)
\(68\) 4.75861 + 3.99295i 0.577067 + 0.484217i
\(69\) −0.0477781 + 4.67811i −0.00575181 + 0.563178i
\(70\) 6.55488 3.47996i 0.783458 0.415934i
\(71\) 4.88280 8.45725i 0.579481 1.00369i −0.416058 0.909338i \(-0.636589\pi\)
0.995539 0.0943527i \(-0.0300781\pi\)
\(72\) −6.66220 5.82621i −0.785147 0.686626i
\(73\) 9.98140 1.16823 0.584117 0.811669i \(-0.301441\pi\)
0.584117 + 0.811669i \(0.301441\pi\)
\(74\) −0.198651 1.12660i −0.0230927 0.130965i
\(75\) 4.06905 4.74993i 0.469854 0.548475i
\(76\) −0.897459 + 5.08974i −0.102946 + 0.583833i
\(77\) 1.51069 3.73227i 0.172159 0.425331i
\(78\) −1.29978 1.58155i −0.147171 0.179075i
\(79\) −1.89665 10.7565i −0.213390 1.21020i −0.883678 0.468095i \(-0.844941\pi\)
0.670288 0.742101i \(-0.266171\pi\)
\(80\) 0.949929 1.64533i 0.106205 0.183953i
\(81\) 7.12491 5.49870i 0.791657 0.610966i
\(82\) 0.811263 + 1.40515i 0.0895890 + 0.155173i
\(83\) 3.57186 + 1.30005i 0.392063 + 0.142699i 0.530526 0.847668i \(-0.321994\pi\)
−0.138464 + 0.990367i \(0.544216\pi\)
\(84\) −2.28920 4.42038i −0.249772 0.482302i
\(85\) −12.8548 10.7865i −1.39430 1.16996i
\(86\) 11.4944 4.18361i 1.23947 0.451131i
\(87\) −6.73234 1.25812i −0.721783 0.134884i
\(88\) −0.779617 4.42143i −0.0831074 0.471326i
\(89\) −0.466166 + 0.807423i −0.0494135 + 0.0855866i −0.889674 0.456596i \(-0.849069\pi\)
0.840261 + 0.542183i \(0.182402\pi\)
\(90\) 6.33447 + 5.53961i 0.667711 + 0.583926i
\(91\) −1.00893 3.11188i −0.105764 0.326213i
\(92\) 0.509500 + 2.88952i 0.0531191 + 0.301253i
\(93\) −11.0088 + 6.20692i −1.14156 + 0.643628i
\(94\) 0.0706253 0.400536i 0.00728444 0.0413121i
\(95\) 2.42438 13.7493i 0.248736 1.41065i
\(96\) −7.87497 4.65449i −0.803736 0.475047i
\(97\) −2.77626 15.7449i −0.281886 1.59866i −0.716200 0.697895i \(-0.754120\pi\)
0.434313 0.900762i \(-0.356991\pi\)
\(98\) 0.690971 + 6.65543i 0.0697986 + 0.672300i
\(99\) 4.56457 + 0.0932468i 0.458756 + 0.00937165i
\(100\) 1.96131 3.39709i 0.196131 0.339709i
\(101\) 2.55476 + 14.4887i 0.254208 + 1.44168i 0.798098 + 0.602528i \(0.205840\pi\)
−0.543890 + 0.839157i \(0.683049\pi\)
\(102\) 6.15957 7.19026i 0.609888 0.711942i
\(103\) −4.04423 + 1.47198i −0.398490 + 0.145038i −0.533488 0.845807i \(-0.679119\pi\)
0.134999 + 0.990846i \(0.456897\pi\)
\(104\) −2.79430 2.34470i −0.274004 0.229917i
\(105\) 6.18400 + 11.9411i 0.603496 + 1.16533i
\(106\) −10.1811 3.70561i −0.988875 0.359921i
\(107\) −5.92521 10.2628i −0.572812 0.992139i −0.996276 0.0862261i \(-0.972519\pi\)
0.423464 0.905913i \(-0.360814\pi\)
\(108\) 3.75896 4.21075i 0.361706 0.405180i
\(109\) −6.86842 + 11.8964i −0.657875 + 1.13947i 0.323290 + 0.946300i \(0.395211\pi\)
−0.981165 + 0.193173i \(0.938122\pi\)
\(110\) 0.741265 + 4.20392i 0.0706769 + 0.400829i
\(111\) 2.04496 0.339085i 0.194099 0.0321846i
\(112\) 1.05373 + 1.35048i 0.0995685 + 0.127609i
\(113\) −0.00417733 + 0.0236908i −0.000392970 + 0.00222865i −0.985004 0.172534i \(-0.944805\pi\)
0.984611 + 0.174762i \(0.0559157\pi\)
\(114\) 7.74310 + 1.44700i 0.725208 + 0.135524i
\(115\) −1.37635 7.80570i −0.128346 0.727885i
\(116\) −4.29538 −0.398816
\(117\) 2.88964 2.32580i 0.267147 0.215020i
\(118\) −4.94395 + 8.56318i −0.455128 + 0.788304i
\(119\) 13.3633 7.09453i 1.22501 0.650354i
\(120\) 12.9083 + 7.62945i 1.17836 + 0.696470i
\(121\) −6.65233 5.58197i −0.604757 0.507452i
\(122\) 1.37003 7.76983i 0.124037 0.703447i
\(123\) −2.56099 + 1.44392i −0.230916 + 0.130194i
\(124\) −6.07178 + 5.09483i −0.545262 + 0.457529i
\(125\) 2.03791 3.52976i 0.182276 0.315711i
\(126\) −6.77255 + 3.42007i −0.603347 + 0.304684i
\(127\) −2.47846 4.29281i −0.219927 0.380925i 0.734858 0.678221i \(-0.237249\pi\)
−0.954786 + 0.297295i \(0.903915\pi\)
\(128\) −4.22800 1.53887i −0.373706 0.136018i
\(129\) 7.36754 + 20.9040i 0.648676 + 1.84049i
\(130\) 2.65684 + 2.22936i 0.233021 + 0.195527i
\(131\) −1.92290 + 10.9053i −0.168005 + 0.952803i 0.777907 + 0.628379i \(0.216281\pi\)
−0.945912 + 0.324423i \(0.894830\pi\)
\(132\) 2.82476 0.468389i 0.245864 0.0407680i
\(133\) 10.6709 + 6.67731i 0.925280 + 0.578996i
\(134\) 0.833675 0.0720185
\(135\) −10.1544 + 11.3748i −0.873950 + 0.978990i
\(136\) 8.43521 14.6102i 0.723314 1.25282i
\(137\) −6.12681 + 5.14101i −0.523449 + 0.439226i −0.865832 0.500335i \(-0.833210\pi\)
0.342383 + 0.939560i \(0.388766\pi\)
\(138\) 4.41173 0.731532i 0.375552 0.0622722i
\(139\) −12.6969 10.6540i −1.07694 0.903660i −0.0812771 0.996692i \(-0.525900\pi\)
−0.995663 + 0.0930314i \(0.970344\pi\)
\(140\) 5.18810 + 6.64916i 0.438474 + 0.561957i
\(141\) 0.724420 + 0.135377i 0.0610072 + 0.0114008i
\(142\) −8.77184 3.19269i −0.736116 0.267924i
\(143\) 1.88168 0.157354
\(144\) −1.00530 + 1.66189i −0.0837748 + 0.138491i
\(145\) 11.6035 0.963615
\(146\) −1.65679 9.39614i −0.137117 0.777630i
\(147\) −12.0717 + 1.12880i −0.995657 + 0.0931021i
\(148\) 1.22164 0.444639i 0.100418 0.0365491i
\(149\) 10.0279 + 8.41444i 0.821521 + 0.689338i 0.953328 0.301938i \(-0.0976334\pi\)
−0.131807 + 0.991275i \(0.542078\pi\)
\(150\) −5.14683 3.04203i −0.420237 0.248381i
\(151\) −9.35229 3.40396i −0.761079 0.277010i −0.0678189 0.997698i \(-0.521604\pi\)
−0.693260 + 0.720688i \(0.743826\pi\)
\(152\) 14.0360 1.13847
\(153\) 12.9140 + 11.2935i 1.04403 + 0.913026i
\(154\) −3.76418 0.802599i −0.303326 0.0646753i
\(155\) 16.4022 13.7631i 1.31746 1.10548i
\(156\) 1.51349 1.76675i 0.121176 0.141453i
\(157\) −0.241152 0.202350i −0.0192460 0.0161493i 0.633114 0.774059i \(-0.281776\pi\)
−0.652360 + 0.757909i \(0.726221\pi\)
\(158\) −9.81092 + 3.57088i −0.780515 + 0.284084i
\(159\) 6.90256 18.3784i 0.547409 1.45750i
\(160\) 14.5634 + 5.30064i 1.15134 + 0.419053i
\(161\) 6.98919 + 1.49024i 0.550825 + 0.117447i
\(162\) −6.35893 5.79442i −0.499604 0.455252i
\(163\) 7.60010 + 13.1638i 0.595285 + 1.03106i 0.993507 + 0.113775i \(0.0362943\pi\)
−0.398221 + 0.917289i \(0.630372\pi\)
\(164\) −1.41248 + 1.18521i −0.110296 + 0.0925493i
\(165\) −7.63076 + 1.26530i −0.594054 + 0.0985032i
\(166\) 0.630936 3.57821i 0.0489701 0.277723i
\(167\) 1.47180 8.34697i 0.113891 0.645908i −0.873402 0.486999i \(-0.838091\pi\)
0.987293 0.158908i \(-0.0507974\pi\)
\(168\) −10.7429 + 8.20721i −0.828836 + 0.633200i
\(169\) −8.78744 + 7.37353i −0.675957 + 0.567195i
\(170\) −8.02026 + 13.8915i −0.615126 + 1.06543i
\(171\) −2.76510 + 14.0029i −0.211452 + 1.07083i
\(172\) 6.95034 + 12.0383i 0.529958 + 0.917915i
\(173\) −17.4694 + 14.6586i −1.32817 + 1.11447i −0.343674 + 0.939089i \(0.611672\pi\)
−0.984500 + 0.175382i \(0.943884\pi\)
\(174\) −0.0668594 + 6.54642i −0.00506860 + 0.496283i
\(175\) −5.87721 7.53234i −0.444276 0.569392i
\(176\) −0.925866 + 0.336988i −0.0697898 + 0.0254014i
\(177\) −15.4240 9.11636i −1.15934 0.685227i
\(178\) 0.837457 + 0.304809i 0.0627700 + 0.0228464i
\(179\) 2.71295 + 4.69896i 0.202775 + 0.351217i 0.949422 0.314004i \(-0.101671\pi\)
−0.746646 + 0.665221i \(0.768337\pi\)
\(180\) −4.94962 + 8.18237i −0.368923 + 0.609878i
\(181\) −2.18021 3.77624i −0.162054 0.280685i 0.773551 0.633734i \(-0.218478\pi\)
−0.935605 + 0.353048i \(0.885145\pi\)
\(182\) −2.76194 + 1.46630i −0.204729 + 0.108689i
\(183\) 14.0527 + 2.62612i 1.03881 + 0.194129i
\(184\) 7.48789 2.72537i 0.552015 0.200917i
\(185\) −3.30010 + 1.20114i −0.242628 + 0.0883095i
\(186\) 7.67031 + 9.33306i 0.562414 + 0.684333i
\(187\) 1.51121 + 8.57048i 0.110510 + 0.626735i
\(188\) 0.462196 0.0337091
\(189\) −6.07146 12.3344i −0.441634 0.897195i
\(190\) −13.3455 −0.968188
\(191\) −2.14738 12.1784i −0.155379 0.881199i −0.958438 0.285300i \(-0.907907\pi\)
0.803059 0.595899i \(-0.203204\pi\)
\(192\) −3.86298 + 10.2854i −0.278786 + 0.742283i
\(193\) 21.5504 7.84372i 1.55123 0.564603i 0.582527 0.812811i \(-0.302064\pi\)
0.968707 + 0.248208i \(0.0798416\pi\)
\(194\) −14.3609 + 5.22694i −1.03105 + 0.375273i
\(195\) −4.08851 + 4.77265i −0.292784 + 0.341777i
\(196\) −7.31206 + 2.08665i −0.522290 + 0.149047i
\(197\) −1.57885 2.73464i −0.112488 0.194835i 0.804285 0.594244i \(-0.202549\pi\)
−0.916773 + 0.399409i \(0.869215\pi\)
\(198\) −0.669884 4.31240i −0.0476066 0.306469i
\(199\) −11.1996 19.3983i −0.793919 1.37511i −0.923523 0.383543i \(-0.874704\pi\)
0.129604 0.991566i \(-0.458629\pi\)
\(200\) −10.0106 3.64357i −0.707858 0.257639i
\(201\) −0.0154272 + 1.51053i −0.00108815 + 0.106544i
\(202\) 13.2151 4.80992i 0.929814 0.338424i
\(203\) −3.92524 + 9.69757i −0.275498 + 0.680636i
\(204\) 9.26247 + 5.47457i 0.648503 + 0.383296i
\(205\) 3.81564 3.20170i 0.266496 0.223617i
\(206\) 2.05696 + 3.56276i 0.143315 + 0.248229i
\(207\) 1.24382 + 8.00711i 0.0864512 + 0.556533i
\(208\) −0.400259 + 0.693268i −0.0277529 + 0.0480695i
\(209\) −5.54658 + 4.65413i −0.383665 + 0.321933i
\(210\) 10.2145 7.80347i 0.704866 0.538491i
\(211\) 0.859101 4.87220i 0.0591429 0.335416i −0.940851 0.338820i \(-0.889972\pi\)
0.999994 + 0.00340360i \(0.00108340\pi\)
\(212\) 2.13803 12.1254i 0.146841 0.832775i
\(213\) 5.94712 15.8345i 0.407490 1.08496i
\(214\) −8.67749 + 7.28128i −0.593181 + 0.497738i
\(215\) −18.7755 32.5201i −1.28048 2.21785i
\(216\) −13.0346 8.06775i −0.886891 0.548941i
\(217\) 5.95390 + 18.3639i 0.404177 + 1.24662i
\(218\) 12.3390 + 4.49102i 0.835700 + 0.304170i
\(219\) 17.0554 2.82805i 1.15250 0.191102i
\(220\) −4.55854 + 1.65917i −0.307336 + 0.111861i
\(221\) 5.41646 + 4.54495i 0.364351 + 0.305727i
\(222\) −0.658641 1.86877i −0.0442051 0.125423i
\(223\) −7.40715 + 6.21534i −0.496020 + 0.416210i −0.856178 0.516681i \(-0.827167\pi\)
0.360158 + 0.932891i \(0.382723\pi\)
\(224\) −9.35653 + 10.3782i −0.625160 + 0.693424i
\(225\) 5.60706 9.26920i 0.373804 0.617947i
\(226\) 0.0229951 0.00152961
\(227\) 6.66739 + 2.42673i 0.442530 + 0.161068i 0.553668 0.832737i \(-0.313228\pi\)
−0.111139 + 0.993805i \(0.535450\pi\)
\(228\) −0.0914200 + 8.95122i −0.00605444 + 0.592809i
\(229\) 12.8226 + 10.7594i 0.847342 + 0.711004i 0.959203 0.282720i \(-0.0912366\pi\)
−0.111861 + 0.993724i \(0.535681\pi\)
\(230\) −7.11954 + 2.59130i −0.469449 + 0.170865i
\(231\) 1.52388 6.80542i 0.100264 0.447764i
\(232\) 2.02568 + 11.4882i 0.132993 + 0.754239i
\(233\) 14.2790 0.935449 0.467725 0.883874i \(-0.345074\pi\)
0.467725 + 0.883874i \(0.345074\pi\)
\(234\) −2.66907 2.33415i −0.174482 0.152588i
\(235\) −1.24857 −0.0814475
\(236\) −10.5591 3.84319i −0.687338 0.250170i
\(237\) −6.28850 17.8424i −0.408482 1.15899i
\(238\) −8.89669 11.4022i −0.576687 0.739092i
\(239\) 6.39610 + 5.36697i 0.413729 + 0.347160i 0.825772 0.564005i \(-0.190740\pi\)
−0.412042 + 0.911165i \(0.635184\pi\)
\(240\) 1.15699 3.08055i 0.0746834 0.198848i
\(241\) −6.04921 + 5.07589i −0.389664 + 0.326967i −0.816482 0.577370i \(-0.804079\pi\)
0.426818 + 0.904337i \(0.359634\pi\)
\(242\) −4.15046 + 7.18881i −0.266802 + 0.462114i
\(243\) 10.6165 11.4144i 0.681050 0.732237i
\(244\) 8.96594 0.573986
\(245\) 19.7527 5.63685i 1.26195 0.360125i
\(246\) 1.78434 + 2.17115i 0.113766 + 0.138427i
\(247\) −1.02153 + 5.79337i −0.0649982 + 0.368623i
\(248\) 16.4898 + 13.8366i 1.04710 + 0.878624i
\(249\) 6.47165 + 1.20940i 0.410124 + 0.0766427i
\(250\) −3.66106 1.33252i −0.231546 0.0842757i
\(251\) −7.36333 12.7537i −0.464769 0.805004i 0.534422 0.845218i \(-0.320529\pi\)
−0.999191 + 0.0402139i \(0.987196\pi\)
\(252\) −5.16403 6.90458i −0.325303 0.434948i
\(253\) −2.05528 + 3.55985i −0.129214 + 0.223806i
\(254\) −3.62971 + 3.04568i −0.227748 + 0.191103i
\(255\) −25.0215 14.7889i −1.56690 0.926116i
\(256\) −2.94983 + 16.7293i −0.184365 + 1.04558i
\(257\) −11.4861 9.63797i −0.716482 0.601200i 0.209927 0.977717i \(-0.432677\pi\)
−0.926410 + 0.376517i \(0.877122\pi\)
\(258\) 18.4553 10.4053i 1.14898 0.647809i
\(259\) 0.112514 3.16438i 0.00699128 0.196625i
\(260\) −1.97069 + 3.41333i −0.122217 + 0.211686i
\(261\) −11.8601 0.242284i −0.734125 0.0149970i
\(262\) 10.5851 0.653947
\(263\) 4.23351 + 24.0095i 0.261050 + 1.48049i 0.780053 + 0.625714i \(0.215192\pi\)
−0.519003 + 0.854772i \(0.673697\pi\)
\(264\) −2.58488 7.33409i −0.159088 0.451382i
\(265\) −5.77564 + 32.7553i −0.354795 + 2.01214i
\(266\) 4.51455 11.1535i 0.276805 0.683866i
\(267\) −0.567778 + 1.51174i −0.0347474 + 0.0925169i
\(268\) 0.164514 + 0.933005i 0.0100493 + 0.0569924i
\(269\) 9.27895 16.0716i 0.565747 0.979903i −0.431232 0.902241i \(-0.641921\pi\)
0.996980 0.0776622i \(-0.0247456\pi\)
\(270\) 12.3934 + 7.67088i 0.754237 + 0.466835i
\(271\) −14.2390 24.6627i −0.864959 1.49815i −0.867088 0.498155i \(-0.834011\pi\)
0.00212864 0.999998i \(-0.499322\pi\)
\(272\) −3.47907 1.26628i −0.210950 0.0767794i
\(273\) −2.60567 5.03147i −0.157702 0.304518i
\(274\) 5.85654 + 4.91422i 0.353806 + 0.296879i
\(275\) 5.16403 1.87955i 0.311403 0.113341i
\(276\) 1.68929 + 4.79302i 0.101683 + 0.288506i
\(277\) 3.44562 + 19.5411i 0.207028 + 1.17411i 0.894217 + 0.447633i \(0.147733\pi\)
−0.687190 + 0.726478i \(0.741156\pi\)
\(278\) −7.92175 + 13.7209i −0.475115 + 0.822924i
\(279\) −17.0524 + 13.7250i −1.02090 + 0.821697i
\(280\) 15.3368 17.0115i 0.916551 1.01663i
\(281\) −0.979263 5.55368i −0.0584179 0.331305i 0.941567 0.336826i \(-0.109353\pi\)
−0.999985 + 0.00552169i \(0.998242\pi\)
\(282\) 0.00719427 0.704414i 0.000428413 0.0419473i
\(283\) 1.63021 9.24538i 0.0969059 0.549581i −0.897241 0.441542i \(-0.854432\pi\)
0.994147 0.108039i \(-0.0344571\pi\)
\(284\) 1.84209 10.4470i 0.109308 0.619916i
\(285\) 0.246960 24.1807i 0.0146287 1.43234i
\(286\) −0.312337 1.77135i −0.0184689 0.104742i
\(287\) 1.38506 + 4.27199i 0.0817572 + 0.252168i
\(288\) −14.7749 5.72199i −0.870619 0.337172i
\(289\) −7.85078 + 13.5980i −0.461811 + 0.799880i
\(290\) −1.92603 10.9231i −0.113101 0.641426i
\(291\) −9.20489 26.1171i −0.539600 1.53101i
\(292\) 10.1887 3.70839i 0.596250 0.217017i
\(293\) 13.4739 + 11.3060i 0.787156 + 0.660502i 0.945040 0.326955i \(-0.106023\pi\)
−0.157884 + 0.987458i \(0.550467\pi\)
\(294\) 3.06637 + 11.1765i 0.178834 + 0.651826i
\(295\) 28.5241 + 10.3819i 1.66074 + 0.604459i
\(296\) −1.76533 3.05764i −0.102608 0.177722i
\(297\) 7.82599 1.13395i 0.454110 0.0657987i
\(298\) 6.25654 10.8366i 0.362431 0.627750i
\(299\) 0.579936 + 3.28898i 0.0335386 + 0.190207i
\(300\) 2.38882 6.36037i 0.137919 0.367216i
\(301\) 33.5300 4.69063i 1.93264 0.270364i
\(302\) −1.65200 + 9.36893i −0.0950617 + 0.539121i
\(303\) 8.47049 + 24.0334i 0.486617 + 1.38068i
\(304\) −0.534891 3.03352i −0.0306781 0.173984i
\(305\) −24.2204 −1.38686
\(306\) 8.48774 14.0313i 0.485212 0.802118i
\(307\) 0.503993 0.872942i 0.0287644 0.0498214i −0.851285 0.524704i \(-0.824176\pi\)
0.880049 + 0.474882i \(0.157509\pi\)
\(308\) 0.155419 4.37105i 0.00885583 0.249064i
\(309\) −6.49340 + 3.66106i −0.369396 + 0.208270i
\(310\) −15.6786 13.1559i −0.890486 0.747207i
\(311\) −1.41111 + 8.00279i −0.0800166 + 0.453797i 0.918305 + 0.395875i \(0.129559\pi\)
−0.998321 + 0.0579219i \(0.981553\pi\)
\(312\) −5.43901 3.21472i −0.307923 0.181998i
\(313\) 16.0250 13.4466i 0.905787 0.760046i −0.0655255 0.997851i \(-0.520872\pi\)
0.971313 + 0.237805i \(0.0764279\pi\)
\(314\) −0.150457 + 0.260599i −0.00849078 + 0.0147065i
\(315\) 13.9500 + 18.6519i 0.785994 + 1.05092i
\(316\) −5.93240 10.2752i −0.333723 0.578026i
\(317\) −5.46001 1.98728i −0.306665 0.111617i 0.184104 0.982907i \(-0.441062\pi\)
−0.490769 + 0.871290i \(0.663284\pi\)
\(318\) −18.4465 3.44723i −1.03443 0.193311i
\(319\) −4.60981 3.86809i −0.258100 0.216571i
\(320\) 3.23230 18.3313i 0.180691 1.02475i
\(321\) −13.0323 15.8574i −0.727392 0.885073i
\(322\) 0.242735 6.82673i 0.0135271 0.380439i
\(323\) −27.2074 −1.51386
\(324\) 5.22997 8.26003i 0.290554 0.458890i
\(325\) 2.23245 3.86671i 0.123834 0.214487i
\(326\) 11.1304 9.33948i 0.616454 0.517266i
\(327\) −8.36556 + 22.2737i −0.462616 + 1.23174i
\(328\) 3.83602 + 3.21880i 0.211809 + 0.177729i
\(329\) 0.422367 1.04349i 0.0232859 0.0575293i
\(330\) 2.45772 + 6.97331i 0.135293 + 0.383868i
\(331\) 25.6393 + 9.33196i 1.40927 + 0.512931i 0.930914 0.365238i \(-0.119012\pi\)
0.478351 + 0.878169i \(0.341235\pi\)
\(332\) 4.12906 0.226611
\(333\) 3.39819 1.15880i 0.186220 0.0635020i
\(334\) −8.10184 −0.443313
\(335\) −0.444415 2.52040i −0.0242810 0.137704i
\(336\) 2.18317 + 2.00904i 0.119102 + 0.109602i
\(337\) 13.8191 5.02973i 0.752773 0.273987i 0.0630009 0.998013i \(-0.479933\pi\)
0.689772 + 0.724026i \(0.257711\pi\)
\(338\) 8.39979 + 7.04826i 0.456888 + 0.383375i
\(339\) −0.000425526 0.0416646i −2.31114e−5 0.00226291i
\(340\) −17.1293 6.23457i −0.928969 0.338117i
\(341\) −11.1042 −0.601328
\(342\) 13.6408 + 0.278659i 0.737608 + 0.0150682i
\(343\) −1.97097 + 18.4151i −0.106423 + 0.994321i
\(344\) 28.9194 24.2663i 1.55923 1.30835i
\(345\) −4.56341 12.9478i −0.245686 0.697085i
\(346\) 16.6988 + 14.0119i 0.897731 + 0.753286i
\(347\) 14.6211 5.32165i 0.784902 0.285681i 0.0816870 0.996658i \(-0.473969\pi\)
0.703215 + 0.710977i \(0.251747\pi\)
\(348\) −7.33960 + 1.21702i −0.393444 + 0.0652390i
\(349\) −27.5031 10.0103i −1.47221 0.535840i −0.523508 0.852020i \(-0.675377\pi\)
−0.948699 + 0.316181i \(0.897599\pi\)
\(350\) −6.11513 + 6.78288i −0.326868 + 0.362560i
\(351\) 4.27861 4.79286i 0.228375 0.255824i
\(352\) −4.01872 6.96063i −0.214199 0.371003i
\(353\) −19.1454 + 16.0649i −1.01901 + 0.855048i −0.989502 0.144516i \(-0.953837\pi\)
−0.0295046 + 0.999565i \(0.509393\pi\)
\(354\) −6.02161 + 16.0328i −0.320045 + 0.852136i
\(355\) −4.97619 + 28.2214i −0.264109 + 1.49783i
\(356\) −0.175866 + 0.997388i −0.00932090 + 0.0528614i
\(357\) 20.8241 15.9088i 1.10213 0.841984i
\(358\) 3.97312 3.33384i 0.209986 0.176199i
\(359\) −6.68405 + 11.5771i −0.352771 + 0.611017i −0.986734 0.162346i \(-0.948094\pi\)
0.633963 + 0.773363i \(0.281427\pi\)
\(360\) 24.2184 + 9.37925i 1.27642 + 0.494330i
\(361\) −1.81811 3.14907i −0.0956902 0.165740i
\(362\) −3.19292 + 2.67918i −0.167816 + 0.140815i
\(363\) −12.9485 7.65320i −0.679621 0.401689i
\(364\) −2.18604 2.80167i −0.114580 0.146847i
\(365\) −27.5236 + 10.0178i −1.44065 + 0.524354i
\(366\) 0.139559 13.6646i 0.00729485 0.714262i
\(367\) 2.23691 + 0.814169i 0.116766 + 0.0424993i 0.399742 0.916628i \(-0.369100\pi\)
−0.282977 + 0.959127i \(0.591322\pi\)
\(368\) −0.874370 1.51445i −0.0455797 0.0789463i
\(369\) −3.96690 + 3.19286i −0.206509 + 0.166214i
\(370\) 1.67849 + 2.90722i 0.0872604 + 0.151139i
\(371\) −25.4214 15.9075i −1.31981 0.825876i
\(372\) −8.93144 + 10.4260i −0.463074 + 0.540561i
\(373\) −2.96787 + 1.08022i −0.153671 + 0.0559316i −0.417710 0.908580i \(-0.637167\pi\)
0.264040 + 0.964512i \(0.414945\pi\)
\(374\) 7.81710 2.84519i 0.404212 0.147121i
\(375\) 2.48212 6.60877i 0.128176 0.341276i
\(376\) −0.217970 1.23617i −0.0112409 0.0637504i
\(377\) −4.88919 −0.251806
\(378\) −10.6034 + 7.76282i −0.545379 + 0.399276i
\(379\) 5.78376 0.297092 0.148546 0.988906i \(-0.452541\pi\)
0.148546 + 0.988906i \(0.452541\pi\)
\(380\) −2.63356 14.9356i −0.135099 0.766182i
\(381\) −5.45128 6.63298i −0.279277 0.339818i
\(382\) −11.1079 + 4.04294i −0.568329 + 0.206855i
\(383\) −6.37874 + 2.32167i −0.325938 + 0.118632i −0.499807 0.866137i \(-0.666596\pi\)
0.173868 + 0.984769i \(0.444373\pi\)
\(384\) −7.66048 1.43156i −0.390922 0.0730542i
\(385\) −0.419846 + 11.8079i −0.0213974 + 0.601785i
\(386\) −10.9609 18.9848i −0.557895 0.966303i
\(387\) 18.5118 + 33.6316i 0.941009 + 1.70959i
\(388\) −8.68365 15.0405i −0.440845 0.763566i
\(389\) 3.88706 + 1.41477i 0.197082 + 0.0717319i 0.438675 0.898646i \(-0.355448\pi\)
−0.241594 + 0.970378i \(0.577670\pi\)
\(390\) 5.17145 + 3.05658i 0.261866 + 0.154776i
\(391\) −14.5145 + 5.28285i −0.734030 + 0.267165i
\(392\) 9.02920 + 18.5724i 0.456043 + 0.938049i
\(393\) −0.195877 + 19.1790i −0.00988070 + 0.967451i
\(394\) −2.31222 + 1.94019i −0.116488 + 0.0977451i
\(395\) 16.0257 + 27.7573i 0.806338 + 1.39662i
\(396\) 4.69402 1.60069i 0.235883 0.0804378i
\(397\) −2.00564 + 3.47388i −0.100660 + 0.174349i −0.911957 0.410286i \(-0.865429\pi\)
0.811297 + 0.584635i \(0.198762\pi\)
\(398\) −16.4019 + 13.7628i −0.822151 + 0.689867i
\(399\) 20.1254 + 8.38626i 1.00753 + 0.419838i
\(400\) −0.405973 + 2.30239i −0.0202986 + 0.115119i
\(401\) −4.91871 + 27.8954i −0.245629 + 1.39303i 0.573400 + 0.819276i \(0.305624\pi\)
−0.819028 + 0.573753i \(0.805487\pi\)
\(402\) 1.42452 0.236207i 0.0710484 0.0117809i
\(403\) −6.91117 + 5.79916i −0.344270 + 0.288877i
\(404\) 7.99083 + 13.8405i 0.397559 + 0.688592i
\(405\) −14.1281 + 22.3135i −0.702032 + 1.10877i
\(406\) 9.78049 + 2.08540i 0.485397 + 0.103497i
\(407\) 1.71147 + 0.622923i 0.0848343 + 0.0308772i
\(408\) 10.2739 27.3547i 0.508633 1.35426i
\(409\) 8.74367 3.18244i 0.432347 0.157361i −0.116674 0.993170i \(-0.537223\pi\)
0.549020 + 0.835809i \(0.315001\pi\)
\(410\) −3.64732 3.06046i −0.180128 0.151146i
\(411\) −9.01240 + 10.5205i −0.444549 + 0.518936i
\(412\) −3.58135 + 3.00511i −0.176440 + 0.148051i
\(413\) −18.3258 + 20.3269i −0.901756 + 1.00022i
\(414\) 7.33115 2.49997i 0.360306 0.122867i
\(415\) −11.1542 −0.547536
\(416\) −6.13638 2.23346i −0.300861 0.109504i
\(417\) −24.7141 14.6072i −1.21026 0.715320i
\(418\) 5.30190 + 4.44882i 0.259324 + 0.217599i
\(419\) 14.1736 5.15877i 0.692426 0.252022i 0.0282522 0.999601i \(-0.491006\pi\)
0.664173 + 0.747578i \(0.268784\pi\)
\(420\) 10.7489 + 9.89160i 0.524494 + 0.482661i
\(421\) −0.365497 2.07283i −0.0178132 0.101024i 0.974605 0.223931i \(-0.0718892\pi\)
−0.992418 + 0.122908i \(0.960778\pi\)
\(422\) −4.72912 −0.230210
\(423\) 1.27619 + 0.0260705i 0.0620504 + 0.00126759i
\(424\) −33.4383 −1.62391
\(425\) 19.4046 + 7.06268i 0.941259 + 0.342590i
\(426\) −15.8932 2.97007i −0.770028 0.143900i
\(427\) 8.19332 20.2422i 0.396503 0.979587i
\(428\) −9.86121 8.27453i −0.476659 0.399965i
\(429\) 3.21527 0.533141i 0.155235 0.0257403i
\(430\) −27.4968 + 23.0725i −1.32601 + 1.11266i
\(431\) −10.3809 + 17.9803i −0.500033 + 0.866082i 0.499967 + 0.866044i \(0.333345\pi\)
−1.00000 3.75701e-5i \(0.999988\pi\)
\(432\) −1.24691 + 3.12453i −0.0599918 + 0.150329i
\(433\) 13.4183 0.644842 0.322421 0.946596i \(-0.395503\pi\)
0.322421 + 0.946596i \(0.395503\pi\)
\(434\) 16.2988 8.65297i 0.782369 0.415356i
\(435\) 19.8271 3.28763i 0.950635 0.157630i
\(436\) −2.59119 + 14.6954i −0.124095 + 0.703780i
\(437\) −9.84437 8.26041i −0.470920 0.395149i
\(438\) −5.49322 15.5859i −0.262476 0.744725i
\(439\) 13.3557 + 4.86108i 0.637433 + 0.232007i 0.640463 0.767989i \(-0.278742\pi\)
−0.00303019 + 0.999995i \(0.500965\pi\)
\(440\) 6.58732 + 11.4096i 0.314038 + 0.543930i
\(441\) −20.3073 + 5.34910i −0.967015 + 0.254719i
\(442\) 3.37939 5.85327i 0.160741 0.278412i
\(443\) 14.6842 12.3215i 0.697669 0.585414i −0.223440 0.974718i \(-0.571729\pi\)
0.921110 + 0.389303i \(0.127284\pi\)
\(444\) 1.96145 1.10589i 0.0930864 0.0524833i
\(445\) 0.475082 2.69432i 0.0225210 0.127723i
\(446\) 7.08040 + 5.94116i 0.335266 + 0.281322i
\(447\) 19.5190 + 11.5367i 0.923218 + 0.545667i
\(448\) 14.2269 + 8.90253i 0.672159 + 0.420605i
\(449\) 9.29169 16.0937i 0.438502 0.759508i −0.559072 0.829119i \(-0.688843\pi\)
0.997574 + 0.0696114i \(0.0221759\pi\)
\(450\) −9.65640 3.73971i −0.455207 0.176292i
\(451\) −2.58318 −0.121637
\(452\) 0.00453776 + 0.0257349i 0.000213438 + 0.00121047i
\(453\) −16.9449 3.16661i −0.796141 0.148780i
\(454\) 1.17773 6.67925i 0.0552737 0.313473i
\(455\) 5.90532 + 7.56837i 0.276846 + 0.354810i
\(456\) 23.9836 3.97685i 1.12314 0.186233i
\(457\) −5.18475 29.4042i −0.242532 1.37547i −0.826154 0.563444i \(-0.809476\pi\)
0.583622 0.812026i \(-0.301635\pi\)
\(458\) 8.00016 13.8567i 0.373823 0.647480i
\(459\) 25.2662 + 15.6385i 1.17932 + 0.729943i
\(460\) −4.30499 7.45647i −0.200721 0.347660i
\(461\) 12.3516 + 4.49562i 0.575271 + 0.209382i 0.613239 0.789897i \(-0.289866\pi\)
−0.0379677 + 0.999279i \(0.512088\pi\)
\(462\) −6.65933 0.304905i −0.309820 0.0141855i
\(463\) 5.62937 + 4.72360i 0.261619 + 0.219524i 0.764156 0.645031i \(-0.223156\pi\)
−0.502537 + 0.864556i \(0.667600\pi\)
\(464\) 2.40568 0.875597i 0.111681 0.0406486i
\(465\) 24.1272 28.1645i 1.11887 1.30610i
\(466\) −2.37014 13.4418i −0.109795 0.622677i
\(467\) 14.2198 24.6294i 0.658014 1.13971i −0.323115 0.946360i \(-0.604730\pi\)
0.981129 0.193354i \(-0.0619365\pi\)
\(468\) 2.08555 3.44769i 0.0964048 0.159370i
\(469\) 2.25676 + 0.481187i 0.104207 + 0.0222191i
\(470\) 0.207247 + 1.17536i 0.00955959 + 0.0542152i
\(471\) −0.469393 0.277434i −0.0216285 0.0127835i
\(472\) −5.29920 + 30.0532i −0.243915 + 1.38331i
\(473\) −3.38168 + 19.1785i −0.155490 + 0.881827i
\(474\) −15.7524 + 8.88139i −0.723530 + 0.407936i
\(475\) 2.98336 + 16.9195i 0.136886 + 0.776319i
\(476\) 11.0051 12.2068i 0.504416 0.559496i
\(477\) 6.58735 33.3593i 0.301614 1.52742i
\(478\) 3.99059 6.91191i 0.182526 0.316144i
\(479\) −4.85242 27.5194i −0.221713 1.25740i −0.868870 0.495039i \(-0.835154\pi\)
0.647158 0.762356i \(-0.275958\pi\)
\(480\) 26.3866 + 4.93104i 1.20438 + 0.225070i
\(481\) 1.39052 0.506108i 0.0634022 0.0230765i
\(482\) 5.78236 + 4.85198i 0.263379 + 0.221001i
\(483\) 12.3648 + 0.566137i 0.562618 + 0.0257601i
\(484\) −8.86437 3.22637i −0.402926 0.146653i
\(485\) 23.4578 + 40.6302i 1.06517 + 1.84492i
\(486\) −12.5074 8.09935i −0.567346 0.367394i
\(487\) 9.18324 15.9058i 0.416133 0.720763i −0.579414 0.815033i \(-0.696719\pi\)
0.995547 + 0.0942706i \(0.0300519\pi\)
\(488\) −4.22830 23.9799i −0.191406 1.08552i
\(489\) 16.7161 + 20.3398i 0.755930 + 0.919798i
\(490\) −8.58503 17.6588i −0.387832 0.797743i
\(491\) −5.65726 + 32.0839i −0.255309 + 1.44793i 0.539971 + 0.841684i \(0.318435\pi\)
−0.795279 + 0.606243i \(0.792676\pi\)
\(492\) −2.07772 + 2.42539i −0.0936709 + 0.109345i
\(493\) −3.92658 22.2687i −0.176844 1.00293i
\(494\) 5.62323 0.253001
\(495\) −12.6803 + 4.32408i −0.569939 + 0.194353i
\(496\) 2.36202 4.09113i 0.106058 0.183697i
\(497\) −21.9026 13.7056i −0.982466 0.614780i
\(498\) 0.0642705 6.29293i 0.00288003 0.281993i
\(499\) −26.2035 21.9873i −1.17303 0.984287i −0.173028 0.984917i \(-0.555355\pi\)
−1.00000 0.000629808i \(0.999800\pi\)
\(500\) 0.768824 4.36022i 0.0343829 0.194995i
\(501\) 0.149925 14.6796i 0.00669815 0.655838i
\(502\) −10.7836 + 9.04853i −0.481296 + 0.403856i
\(503\) 6.49494 11.2496i 0.289595 0.501593i −0.684118 0.729371i \(-0.739813\pi\)
0.973713 + 0.227778i \(0.0731461\pi\)
\(504\) −16.0313 + 17.0676i −0.714092 + 0.760253i
\(505\) −21.5863 37.3885i −0.960576 1.66377i
\(506\) 3.69227 + 1.34388i 0.164141 + 0.0597426i
\(507\) −12.9261 + 15.0891i −0.574069 + 0.670129i
\(508\) −4.12484 3.46115i −0.183010 0.153564i
\(509\) −0.670124 + 3.80046i −0.0297027 + 0.168453i −0.996051 0.0887856i \(-0.971701\pi\)
0.966348 + 0.257238i \(0.0828125\pi\)
\(510\) −9.76848 + 26.0091i −0.432555 + 1.15170i
\(511\) 0.938393 26.3916i 0.0415121 1.16750i
\(512\) 7.23935 0.319937
\(513\) −0.757323 + 24.7104i −0.0334366 + 1.09099i
\(514\) −7.16629 + 12.4124i −0.316091 + 0.547487i
\(515\) 9.67458 8.11794i 0.426313 0.357719i
\(516\) 15.2870 + 18.6009i 0.672974 + 0.818859i
\(517\) 0.496029 + 0.416218i 0.0218153 + 0.0183052i
\(518\) −2.99751 + 0.419332i −0.131703 + 0.0184244i
\(519\) −25.6971 + 29.9970i −1.12798 + 1.31672i
\(520\) 10.0585 + 3.66100i 0.441094 + 0.160545i
\(521\) 18.4147 0.806762 0.403381 0.915032i \(-0.367835\pi\)
0.403381 + 0.915032i \(0.367835\pi\)
\(522\) 1.74056 + 11.2049i 0.0761824 + 0.490427i
\(523\) −3.12283 −0.136552 −0.0682760 0.997666i \(-0.521750\pi\)
−0.0682760 + 0.997666i \(0.521750\pi\)
\(524\) 2.08881 + 11.8463i 0.0912502 + 0.517506i
\(525\) −12.1767 11.2055i −0.531433 0.489046i
\(526\) 21.8989 7.97056i 0.954839 0.347533i
\(527\) −31.9638 26.8208i −1.39236 1.16833i
\(528\) −1.48657 + 0.838145i −0.0646945 + 0.0364756i
\(529\) 14.7573 + 5.37120i 0.641620 + 0.233531i
\(530\) 31.7934 1.38102
\(531\) −28.9383 11.2072i −1.25582 0.486350i
\(532\) 13.3733 + 2.85146i 0.579807 + 0.123627i
\(533\) −1.60774 + 1.34906i −0.0696391 + 0.0584342i
\(534\) 1.51734 + 0.283556i 0.0656618 + 0.0122707i
\(535\) 26.6389 + 22.3527i 1.15170 + 0.966390i
\(536\) 2.41779 0.880002i 0.104432 0.0380103i
\(537\) 5.96703 + 7.26055i 0.257497 + 0.313316i
\(538\) −16.6694 6.06718i −0.718670 0.261575i
\(539\) −9.72638 4.34527i −0.418945 0.187164i
\(540\) −6.13919 + 15.3838i −0.264189 + 0.662012i
\(541\) 3.58469 + 6.20886i 0.154118 + 0.266940i 0.932737 0.360556i \(-0.117413\pi\)
−0.778620 + 0.627496i \(0.784080\pi\)
\(542\) −20.8531 + 17.4978i −0.895717 + 0.751596i
\(543\) −4.79530 5.83480i −0.205786 0.250395i
\(544\) 5.24449 29.7430i 0.224856 1.27522i
\(545\) 6.99979 39.6978i 0.299838 1.70047i
\(546\) −4.30393 + 3.28804i −0.184191 + 0.140715i
\(547\) −22.6439 + 19.0005i −0.968182 + 0.812401i −0.982265 0.187500i \(-0.939962\pi\)
0.0140831 + 0.999901i \(0.495517\pi\)
\(548\) −4.34403 + 7.52408i −0.185568 + 0.321413i
\(549\) 24.7562 + 0.505730i 1.05657 + 0.0215840i
\(550\) −2.62651 4.54925i −0.111995 0.193981i
\(551\) 14.4117 12.0929i 0.613959 0.515173i
\(552\) 12.0225 6.77845i 0.511713 0.288510i
\(553\) −28.6193 + 4.00365i −1.21701 + 0.170252i
\(554\) 17.8234 6.48718i 0.757242 0.275614i
\(555\) −5.29863 + 2.98743i −0.224914 + 0.126810i
\(556\) −16.9189 6.15799i −0.717523 0.261157i
\(557\) 3.27020 + 5.66415i 0.138563 + 0.239998i 0.926953 0.375178i \(-0.122418\pi\)
−0.788390 + 0.615176i \(0.789085\pi\)
\(558\) 15.7508 + 13.7743i 0.666783 + 0.583114i
\(559\) 7.91118 + 13.7026i 0.334607 + 0.579557i
\(560\) −4.26107 2.66637i −0.180063 0.112675i
\(561\) 5.01052 + 14.2164i 0.211544 + 0.600216i
\(562\) −5.06549 + 1.84369i −0.213675 + 0.0777712i
\(563\) −30.5872 + 11.1328i −1.28910 + 0.469193i −0.893431 0.449201i \(-0.851709\pi\)
−0.395667 + 0.918394i \(0.629487\pi\)
\(564\) 0.789763 0.130955i 0.0332550 0.00551419i
\(565\) −0.0122582 0.0695198i −0.000515707 0.00292472i
\(566\) −8.97386 −0.377200
\(567\) −13.8692 19.3558i −0.582450 0.812867i
\(568\) −28.8098 −1.20883
\(569\) −3.36076 19.0598i −0.140890 0.799029i −0.970575 0.240797i \(-0.922591\pi\)
0.829685 0.558232i \(-0.188520\pi\)
\(570\) −22.8038 + 3.78122i −0.955146 + 0.158378i
\(571\) 29.8020 10.8470i 1.24717 0.453934i 0.367728 0.929934i \(-0.380136\pi\)
0.879445 + 0.476000i \(0.157914\pi\)
\(572\) 1.92077 0.699102i 0.0803113 0.0292309i
\(573\) −7.11981 20.2011i −0.297434 0.843912i
\(574\) 3.79160 2.01294i 0.158258 0.0840185i
\(575\) 4.87681 + 8.44688i 0.203377 + 0.352259i
\(576\) −3.68657 + 18.6693i −0.153607 + 0.777889i
\(577\) 3.31321 + 5.73864i 0.137931 + 0.238903i 0.926713 0.375770i \(-0.122622\pi\)
−0.788783 + 0.614672i \(0.789288\pi\)
\(578\) 14.1038 + 5.13335i 0.586639 + 0.213519i
\(579\) 34.6013 19.5086i 1.43798 0.810751i
\(580\) 11.8445 4.31103i 0.491815 0.179006i
\(581\) 3.77324 9.32206i 0.156541 0.386744i
\(582\) −23.0578 + 13.0003i −0.955777 + 0.538879i
\(583\) 13.2137 11.0876i 0.547257 0.459203i
\(584\) −14.7232 25.5014i −0.609252 1.05526i
\(585\) −5.63388 + 9.31353i −0.232932 + 0.385067i
\(586\) 8.40653 14.5605i 0.347271 0.601491i
\(587\) 20.5844 17.2724i 0.849609 0.712907i −0.110094 0.993921i \(-0.535115\pi\)
0.959704 + 0.281014i \(0.0906708\pi\)
\(588\) −11.9030 + 5.63725i −0.490873 + 0.232476i
\(589\) 6.02826 34.1880i 0.248390 1.40869i
\(590\) 5.03852 28.5748i 0.207432 1.17641i
\(591\) −3.47261 4.22540i −0.142844 0.173810i
\(592\) −0.593555 + 0.498052i −0.0243950 + 0.0204698i
\(593\) −1.34330 2.32667i −0.0551628 0.0955448i 0.837125 0.547011i \(-0.184234\pi\)
−0.892288 + 0.451466i \(0.850901\pi\)
\(594\) −2.36648 7.17888i −0.0970980 0.294553i
\(595\) −29.7289 + 32.9751i −1.21876 + 1.35185i
\(596\) 13.3624 + 4.86353i 0.547347 + 0.199218i
\(597\) −24.6331 29.9730i −1.00817 1.22671i
\(598\) 2.99987 1.09186i 0.122674 0.0446495i
\(599\) 11.5122 + 9.65992i 0.470378 + 0.394694i 0.846932 0.531701i \(-0.178447\pi\)
−0.376555 + 0.926394i \(0.622891\pi\)
\(600\) −18.1377 3.38951i −0.740468 0.138376i
\(601\) 0.548026 0.459848i 0.0223544 0.0187576i −0.631542 0.775342i \(-0.717578\pi\)
0.653896 + 0.756584i \(0.273133\pi\)
\(602\) −9.98118 30.7854i −0.406802 1.25472i
\(603\) 0.401619 + 2.58544i 0.0163552 + 0.105287i
\(604\) −10.8112 −0.439902
\(605\) 23.9460 + 8.71565i 0.973545 + 0.354341i
\(606\) 21.2182 11.9631i 0.861929 0.485966i
\(607\) −3.18486 2.67241i −0.129269 0.108470i 0.575861 0.817548i \(-0.304667\pi\)
−0.705130 + 0.709078i \(0.749111\pi\)
\(608\) 23.6122 8.59414i 0.957602 0.348539i
\(609\) −3.95950 + 17.6826i −0.160447 + 0.716534i
\(610\) 4.02030 + 22.8002i 0.162777 + 0.923155i
\(611\) 0.526092 0.0212834
\(612\) 17.3781 + 6.73015i 0.702467 + 0.272050i
\(613\) 27.0044 1.09070 0.545349 0.838209i \(-0.316397\pi\)
0.545349 + 0.838209i \(0.316397\pi\)
\(614\) −0.905413 0.329543i −0.0365395 0.0132993i
\(615\) 5.61272 6.55190i 0.226327 0.264198i
\(616\) −11.7639 + 1.64569i −0.473981 + 0.0663069i
\(617\) −6.57205 5.51461i −0.264581 0.222010i 0.500840 0.865540i \(-0.333025\pi\)
−0.765421 + 0.643530i \(0.777469\pi\)
\(618\) 4.52422 + 5.50496i 0.181991 + 0.221442i
\(619\) 3.34965 2.81069i 0.134634 0.112971i −0.572984 0.819567i \(-0.694214\pi\)
0.707618 + 0.706595i \(0.249770\pi\)
\(620\) 11.6295 20.1428i 0.467051 0.808956i
\(621\) 4.39400 + 13.3295i 0.176325 + 0.534894i
\(622\) 7.76777 0.311459
\(623\) 2.09106 + 1.30849i 0.0837767 + 0.0524235i
\(624\) −0.487505 + 1.29801i −0.0195158 + 0.0519619i
\(625\) −5.21215 + 29.5596i −0.208486 + 1.18238i
\(626\) −15.3181 12.8534i −0.612234 0.513725i
\(627\) −8.15888 + 9.52413i −0.325834 + 0.380357i
\(628\) −0.321340 0.116958i −0.0128228 0.00466713i
\(629\) 3.42191 + 5.92691i 0.136440 + 0.236322i
\(630\) 15.2427 16.2280i 0.607284 0.646540i
\(631\) −19.5493 + 33.8604i −0.778246 + 1.34796i 0.154706 + 0.987961i \(0.450557\pi\)
−0.932952 + 0.360001i \(0.882776\pi\)
\(632\) −24.6839 + 20.7122i −0.981872 + 0.823889i
\(633\) 0.0875126 8.56864i 0.00347831 0.340573i
\(634\) −0.964460 + 5.46973i −0.0383036 + 0.217231i
\(635\) 11.1428 + 9.34989i 0.442187 + 0.371039i
\(636\) 0.217792 21.3247i 0.00863600 0.845578i
\(637\) −8.32291 + 2.37512i −0.329766 + 0.0941058i
\(638\) −2.87611 + 4.98156i −0.113866 + 0.197222i
\(639\) 5.67554 28.7418i 0.224521 1.13701i
\(640\) 13.2031 0.521900
\(641\) 0.922283 + 5.23053i 0.0364280 + 0.206593i 0.997589 0.0693936i \(-0.0221064\pi\)
−0.961161 + 0.275987i \(0.910995\pi\)
\(642\) −12.7644 + 14.9003i −0.503770 + 0.588067i
\(643\) 4.45659 25.2746i 0.175751 0.996733i −0.761523 0.648138i \(-0.775548\pi\)
0.937274 0.348595i \(-0.113341\pi\)
\(644\) 7.68803 1.07550i 0.302951 0.0423808i
\(645\) −41.2961 50.2481i −1.62603 1.97852i
\(646\) 4.51609 + 25.6120i 0.177683 + 1.00769i
\(647\) −1.26696 + 2.19444i −0.0498094 + 0.0862724i −0.889855 0.456243i \(-0.849195\pi\)
0.840046 + 0.542516i \(0.182528\pi\)
\(648\) −24.5583 10.0924i −0.964741 0.396468i
\(649\) −7.87113 13.6332i −0.308969 0.535150i
\(650\) −4.01054 1.45972i −0.157306 0.0572549i
\(651\) 15.3766 + 29.6918i 0.602657 + 1.16371i
\(652\) 12.6487 + 10.6135i 0.495361 + 0.415657i
\(653\) 14.0882 5.12770i 0.551316 0.200662i −0.0513154 0.998682i \(-0.516341\pi\)
0.602631 + 0.798020i \(0.294119\pi\)
\(654\) 22.3563 + 4.17787i 0.874200 + 0.163367i
\(655\) −5.64268 32.0012i −0.220478 1.25039i
\(656\) 0.549476 0.951720i 0.0214534 0.0371584i
\(657\) 28.3417 9.66468i 1.10571 0.377055i
\(658\) −1.05241 0.224395i −0.0410272 0.00874783i
\(659\) 2.39359 + 13.5747i 0.0932411 + 0.528796i 0.995272 + 0.0971253i \(0.0309648\pi\)
−0.902031 + 0.431671i \(0.857924\pi\)
\(660\) −7.31916 + 4.12664i −0.284898 + 0.160629i
\(661\) −3.01973 + 17.1257i −0.117454 + 0.666114i 0.868052 + 0.496473i \(0.165372\pi\)
−0.985506 + 0.169641i \(0.945739\pi\)
\(662\) 4.52895 25.6850i 0.176023 0.998274i
\(663\) 10.5429 + 6.23139i 0.409454 + 0.242007i
\(664\) −1.94724 11.0434i −0.0755678 0.428566i
\(665\) −36.1264 7.70288i −1.40092 0.298705i
\(666\) −1.65491 3.00658i −0.0641266 0.116503i
\(667\) 5.34025 9.24958i 0.206775 0.358145i
\(668\) −1.59878 9.06715i −0.0618588 0.350819i
\(669\) −10.8957 + 12.7190i −0.421254 + 0.491743i
\(670\) −2.29885 + 0.836713i −0.0888123 + 0.0323250i
\(671\) 9.62225 + 8.07403i 0.371463 + 0.311694i
\(672\) −13.0472 + 20.3845i −0.503307 + 0.786348i
\(673\) 14.8327 + 5.39865i 0.571757 + 0.208103i 0.611687 0.791100i \(-0.290491\pi\)
−0.0399298 + 0.999202i \(0.512713\pi\)
\(674\) −7.02861 12.1739i −0.270732 0.468922i
\(675\) 6.95464 17.4271i 0.267684 0.670770i
\(676\) −6.23047 + 10.7915i −0.239633 + 0.415057i
\(677\) 6.43584 + 36.4995i 0.247349 + 1.40279i 0.814973 + 0.579499i \(0.196752\pi\)
−0.567623 + 0.823288i \(0.692137\pi\)
\(678\) 0.0392922 0.00651524i 0.00150901 0.000250216i
\(679\) −41.8919 + 5.86040i −1.60766 + 0.224902i
\(680\) −8.59655 + 48.7535i −0.329663 + 1.86961i
\(681\) 12.0803 + 2.25752i 0.462917 + 0.0865083i
\(682\) 1.84317 + 10.4531i 0.0705786 + 0.400271i
\(683\) −1.44800 −0.0554062 −0.0277031 0.999616i \(-0.508819\pi\)
−0.0277031 + 0.999616i \(0.508819\pi\)
\(684\) 2.37995 + 15.3210i 0.0909998 + 0.585814i
\(685\) 11.7349 20.3254i 0.448367 0.776594i
\(686\) 17.6625 1.20128i 0.674356 0.0458650i
\(687\) 24.9587 + 14.7518i 0.952235 + 0.562817i
\(688\) −6.34659 5.32542i −0.241962 0.203030i
\(689\) 2.43360 13.8017i 0.0927129 0.525801i
\(690\) −11.4311 + 6.44500i −0.435175 + 0.245357i
\(691\) −13.1546 + 11.0380i −0.500424 + 0.419905i −0.857744 0.514076i \(-0.828135\pi\)
0.357321 + 0.933982i \(0.383690\pi\)
\(692\) −12.3862 + 21.4535i −0.470851 + 0.815538i
\(693\) 0.675686 12.0603i 0.0256672 0.458134i
\(694\) −7.43654 12.8805i −0.282287 0.488936i
\(695\) 45.7045 + 16.6351i 1.73367 + 0.631004i
\(696\) 6.71630 + 19.0562i 0.254581 + 0.722324i
\(697\) −7.43573 6.23932i −0.281648 0.236331i
\(698\) −4.85817 + 27.5520i −0.183884 + 1.04286i
\(699\) 24.3988 4.04570i 0.922849 0.153022i
\(700\) −8.79778 5.50523i −0.332525 0.208078i
\(701\) −0.174339 −0.00658468 −0.00329234 0.999995i \(-0.501048\pi\)
−0.00329234 + 0.999995i \(0.501048\pi\)
\(702\) −5.22203 3.23217i −0.197093 0.121991i
\(703\) −2.84699 + 4.93113i −0.107376 + 0.185981i
\(704\) −7.39498 + 6.20512i −0.278709 + 0.233864i
\(705\) −2.13345 + 0.353759i −0.0803504 + 0.0133233i
\(706\) 18.3008 + 15.3562i 0.688761 + 0.577939i
\(707\) 38.5496 5.39284i 1.44981 0.202819i
\(708\) −19.1314 3.57521i −0.719002 0.134365i
\(709\) 17.8742 + 6.50568i 0.671280 + 0.244326i 0.655099 0.755543i \(-0.272627\pi\)
0.0161812 + 0.999869i \(0.494849\pi\)
\(710\) 27.3926 1.02803
\(711\) −15.8006 28.7059i −0.592569 1.07656i
\(712\) 2.75050 0.103079
\(713\) −3.42233 19.4090i −0.128167 0.726873i
\(714\) −18.4325 16.9624i −0.689821 0.634801i
\(715\) −5.18873 + 1.88854i −0.194047 + 0.0706274i
\(716\) 4.51510 + 3.78862i 0.168737 + 0.141587i
\(717\) 12.4498 + 7.35842i 0.464945 + 0.274805i
\(718\) 12.0078 + 4.37047i 0.448126 + 0.163104i
\(719\) −36.1261 −1.34728 −0.673639 0.739061i \(-0.735270\pi\)
−0.673639 + 0.739061i \(0.735270\pi\)
\(720\) 1.10415 5.59160i 0.0411494 0.208387i
\(721\) 3.51182 + 10.8317i 0.130787 + 0.403392i
\(722\) −2.66263 + 2.23422i −0.0990930 + 0.0831489i
\(723\) −8.89825 + 10.3872i −0.330929 + 0.386305i
\(724\) −3.62848 3.04466i −0.134851 0.113154i
\(725\) −13.4177 + 4.88365i −0.498322 + 0.181374i
\(726\) −5.05515 + 13.4596i −0.187614 + 0.499533i
\(727\) 19.3983 + 7.06039i 0.719442 + 0.261855i 0.675689 0.737187i \(-0.263846\pi\)
0.0437530 + 0.999042i \(0.486069\pi\)
\(728\) −6.46227 + 7.16792i −0.239508 + 0.265661i
\(729\) 14.9066 22.5121i 0.552096 0.833781i
\(730\) 13.9990 + 24.2469i 0.518125 + 0.897419i
\(731\) −56.0573 + 47.0376i −2.07335 + 1.73975i
\(732\) 15.3203 2.54034i 0.566254 0.0938935i
\(733\) 0.181925 1.03175i 0.00671954 0.0381084i −0.981264 0.192670i \(-0.938285\pi\)
0.987983 + 0.154561i \(0.0493965\pi\)
\(734\) 0.395129 2.24089i 0.0145845 0.0827127i
\(735\) 32.1547 15.2283i 1.18604 0.561706i
\(736\) 10.9279 9.16956i 0.402806 0.337994i
\(737\) −0.663635 + 1.14945i −0.0244453 + 0.0423405i
\(738\) 3.66410 + 3.20432i 0.134877 + 0.117953i
\(739\) 8.26086 + 14.3082i 0.303881 + 0.526337i 0.977011 0.213187i \(-0.0683843\pi\)
−0.673131 + 0.739523i \(0.735051\pi\)
\(740\) −2.92239 + 2.45218i −0.107429 + 0.0901438i
\(741\) −0.104058 + 10.1887i −0.00382267 + 0.374290i
\(742\) −10.7551 + 26.5712i −0.394832 + 0.975461i
\(743\) −46.9974 + 17.1057i −1.72417 + 0.627546i −0.998188 0.0601695i \(-0.980836\pi\)
−0.725980 + 0.687716i \(0.758614\pi\)
\(744\) 32.0968 + 18.9708i 1.17673 + 0.695502i
\(745\) −36.0970 13.1382i −1.32249 0.481348i
\(746\) 1.50951 + 2.61455i 0.0552671 + 0.0957254i
\(747\) 11.4009 + 0.232902i 0.417137 + 0.00852144i
\(748\) 4.72678 + 8.18703i 0.172828 + 0.299347i
\(749\) −27.6926 + 14.7019i −1.01187 + 0.537195i
\(750\) −6.63327 1.23960i −0.242213 0.0452639i
\(751\) 1.87231 0.681465i 0.0683215 0.0248670i −0.307633 0.951505i \(-0.599537\pi\)
0.375955 + 0.926638i \(0.377315\pi\)
\(752\) −0.258859 + 0.0942169i −0.00943961 + 0.00343574i
\(753\) −16.1954 19.7062i −0.590193 0.718133i
\(754\) 0.811547 + 4.60251i 0.0295548 + 0.167614i
\(755\) 29.2052 1.06289
\(756\) −10.7802 10.3349i −0.392071 0.375875i
\(757\) 33.6878 1.22440 0.612201 0.790702i \(-0.290284\pi\)
0.612201 + 0.790702i \(0.290284\pi\)
\(758\) −0.960034 5.44462i −0.0348700 0.197758i
\(759\) −2.50328 + 6.66511i −0.0908633 + 0.241928i
\(760\) −38.7042 + 14.0872i −1.40395 + 0.510995i
\(761\) 5.12366 1.86486i 0.185733 0.0676012i −0.247479 0.968893i \(-0.579602\pi\)
0.433212 + 0.901292i \(0.357380\pi\)
\(762\) −5.33921 + 6.23263i −0.193419 + 0.225784i
\(763\) 30.8094 + 19.2791i 1.11538 + 0.697949i
\(764\) −6.71663 11.6335i −0.242999 0.420887i
\(765\) −46.9448 18.1807i −1.69729 0.657325i
\(766\) 3.24433 + 5.61935i 0.117222 + 0.203035i
\(767\) −12.0188 4.37449i −0.433974 0.157954i