Properties

Label 380.2.bb.a.219.18
Level $380$
Weight $2$
Character 380.219
Analytic conductor $3.034$
Analytic rank $0$
Dimension $336$
CM no
Inner twists $8$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [380,2,Mod(59,380)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(380, base_ring=CyclotomicField(18))
 
chi = DirichletCharacter(H, H._module([9, 9, 1]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("380.59");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 380 = 2^{2} \cdot 5 \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 380.bb (of order \(18\), 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: \(3.03431527681\)
Analytic rank: \(0\)
Dimension: \(336\)
Relative dimension: \(56\) over \(\Q(\zeta_{18})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label 219.18
Character \(\chi\) \(=\) 380.219
Dual form 380.2.bb.a.59.18

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-0.690624 + 1.23411i) q^{2} +(2.07566 + 2.47367i) q^{3} +(-1.04608 - 1.70462i) q^{4} +(-2.16257 + 0.568604i) q^{5} +(-4.48629 + 0.853220i) q^{6} +(-1.40918 + 2.44076i) q^{7} +(2.82614 - 0.113728i) q^{8} +(-1.28975 + 7.31455i) q^{9} +O(q^{10})\) \(q+(-0.690624 + 1.23411i) q^{2} +(2.07566 + 2.47367i) q^{3} +(-1.04608 - 1.70462i) q^{4} +(-2.16257 + 0.568604i) q^{5} +(-4.48629 + 0.853220i) q^{6} +(-1.40918 + 2.44076i) q^{7} +(2.82614 - 0.113728i) q^{8} +(-1.28975 + 7.31455i) q^{9} +(0.791797 - 3.06154i) q^{10} +(3.57842 - 2.06600i) q^{11} +(2.04537 - 6.12585i) q^{12} +(-0.432766 - 0.363134i) q^{13} +(-2.03897 - 3.42473i) q^{14} +(-5.89528 - 4.16925i) q^{15} +(-1.81145 + 3.56632i) q^{16} +(-6.16013 + 1.08620i) q^{17} +(-8.13626 - 6.64331i) q^{18} +(3.10413 - 3.06013i) q^{19} +(3.23146 + 3.09155i) q^{20} +(-8.96261 + 1.58035i) q^{21} +(0.0783393 + 5.84302i) q^{22} +(1.24017 - 0.451383i) q^{23} +(6.14742 + 6.75488i) q^{24} +(4.35338 - 2.45929i) q^{25} +(0.747027 - 0.283294i) q^{26} +(-12.3813 + 7.14835i) q^{27} +(5.63468 - 0.151119i) q^{28} +(-2.13527 - 0.376505i) q^{29} +(9.21675 - 4.39607i) q^{30} +(-2.48715 + 4.30786i) q^{31} +(-3.15022 - 4.69852i) q^{32} +(12.5382 + 4.56353i) q^{33} +(2.91384 - 8.35245i) q^{34} +(1.65961 - 6.07957i) q^{35} +(13.8177 - 5.45305i) q^{36} +4.45706 q^{37} +(1.63276 + 5.94425i) q^{38} -1.82426i q^{39} +(-6.04705 + 1.85290i) q^{40} +(2.98373 + 3.55587i) q^{41} +(4.23946 - 12.1523i) q^{42} +(7.73389 + 2.81491i) q^{43} +(-7.26505 - 3.93865i) q^{44} +(-1.36991 - 16.5516i) q^{45} +(-0.299430 + 1.84224i) q^{46} +(-0.670645 + 3.80342i) q^{47} +(-12.5818 + 2.92154i) q^{48} +(-0.471551 - 0.816750i) q^{49} +(0.0284946 + 7.07101i) q^{50} +(-15.4732 - 12.9836i) q^{51} +(-0.166298 + 1.11757i) q^{52} +(-7.29038 + 2.65348i) q^{53} +(-0.271053 - 20.2168i) q^{54} +(-6.56384 + 6.50258i) q^{55} +(-3.70494 + 7.05820i) q^{56} +(14.0129 + 1.32681i) q^{57} +(1.93932 - 2.37514i) q^{58} +(1.57361 + 8.92439i) q^{59} +(-0.940059 + 14.4106i) q^{60} +(7.95821 - 2.89655i) q^{61} +(-3.59871 - 6.04454i) q^{62} +(-16.0356 - 13.4555i) q^{63} +(7.97413 - 0.642820i) q^{64} +(1.14236 + 0.539228i) q^{65} +(-14.2911 + 12.3219i) q^{66} +(4.11674 + 0.725892i) q^{67} +(8.29551 + 9.36442i) q^{68} +(3.69073 + 2.13084i) q^{69} +(6.35673 + 6.24684i) q^{70} +(-4.36440 - 1.58851i) q^{71} +(-2.81316 + 20.8186i) q^{72} +(0.244750 + 0.291682i) q^{73} +(-3.07815 + 5.50052i) q^{74} +(15.1196 + 5.66419i) q^{75} +(-8.46351 - 2.09022i) q^{76} +11.6454i q^{77} +(2.25135 + 1.25988i) q^{78} +(6.60624 - 5.54330i) q^{79} +(1.88955 - 8.74240i) q^{80} +(-22.4436 - 8.16881i) q^{81} +(-6.44898 + 1.22649i) q^{82} +(-0.842748 + 1.45968i) q^{83} +(12.0695 + 13.6247i) q^{84} +(12.7041 - 5.85164i) q^{85} +(-8.81513 + 7.60046i) q^{86} +(-3.50073 - 6.06344i) q^{87} +(9.87816 - 6.24578i) q^{88} +(5.63638 - 6.71718i) q^{89} +(21.3726 + 9.74028i) q^{90} +(1.49617 - 0.544560i) q^{91} +(-2.06674 - 1.64183i) q^{92} +(-15.8187 + 2.78926i) q^{93} +(-4.23069 - 3.45438i) q^{94} +(-4.97288 + 8.38275i) q^{95} +(5.08382 - 17.5451i) q^{96} +(-0.0553455 - 0.313880i) q^{97} +(1.33363 - 0.0178804i) q^{98} +(10.4966 + 28.8392i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 336 q - 18 q^{4} - 12 q^{5} - 18 q^{6} - 24 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 336 q - 18 q^{4} - 12 q^{5} - 18 q^{6} - 24 q^{9} - 15 q^{10} + 18 q^{14} - 6 q^{16} - 42 q^{20} + 12 q^{21} + 12 q^{24} - 12 q^{25} + 18 q^{26} - 24 q^{29} - 24 q^{30} + 12 q^{34} - 6 q^{36} - 48 q^{40} - 12 q^{41} - 36 q^{44} - 6 q^{45} - 18 q^{46} - 108 q^{49} - 36 q^{50} + 36 q^{54} - 30 q^{60} - 24 q^{61} + 18 q^{64} - 18 q^{65} - 48 q^{66} - 180 q^{69} - 21 q^{70} - 30 q^{74} - 48 q^{76} + 3 q^{80} - 60 q^{81} + 90 q^{84} - 36 q^{85} + 102 q^{86} - 48 q^{89} - 78 q^{90} + 24 q^{96}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/380\mathbb{Z}\right)^\times\).

\(n\) \(21\) \(77\) \(191\)
\(\chi(n)\) \(e\left(\frac{17}{18}\right)\) \(-1\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.690624 + 1.23411i −0.488345 + 0.872651i
\(3\) 2.07566 + 2.47367i 1.19838 + 1.42817i 0.876505 + 0.481392i \(0.159869\pi\)
0.321875 + 0.946782i \(0.395687\pi\)
\(4\) −1.04608 1.70462i −0.523038 0.852309i
\(5\) −2.16257 + 0.568604i −0.967129 + 0.254288i
\(6\) −4.48629 + 0.853220i −1.83152 + 0.348326i
\(7\) −1.40918 + 2.44076i −0.532618 + 0.922522i 0.466656 + 0.884439i \(0.345458\pi\)
−0.999275 + 0.0380831i \(0.987875\pi\)
\(8\) 2.82614 0.113728i 0.999191 0.0402088i
\(9\) −1.28975 + 7.31455i −0.429918 + 2.43818i
\(10\) 0.791797 3.06154i 0.250388 0.968146i
\(11\) 3.57842 2.06600i 1.07894 0.622924i 0.148326 0.988938i \(-0.452611\pi\)
0.930609 + 0.366015i \(0.119278\pi\)
\(12\) 2.04537 6.12585i 0.590447 1.76838i
\(13\) −0.432766 0.363134i −0.120028 0.100715i 0.580798 0.814048i \(-0.302741\pi\)
−0.700826 + 0.713332i \(0.747185\pi\)
\(14\) −2.03897 3.42473i −0.544938 0.915299i
\(15\) −5.89528 4.16925i −1.52216 1.07650i
\(16\) −1.81145 + 3.56632i −0.452862 + 0.891581i
\(17\) −6.16013 + 1.08620i −1.49405 + 0.263441i −0.860177 0.509996i \(-0.829647\pi\)
−0.633873 + 0.773437i \(0.718536\pi\)
\(18\) −8.13626 6.64331i −1.91774 1.56584i
\(19\) 3.10413 3.06013i 0.712136 0.702042i
\(20\) 3.23146 + 3.09155i 0.722577 + 0.691290i
\(21\) −8.96261 + 1.58035i −1.95580 + 0.344861i
\(22\) 0.0783393 + 5.84302i 0.0167020 + 1.24574i
\(23\) 1.24017 0.451383i 0.258592 0.0941199i −0.209471 0.977815i \(-0.567174\pi\)
0.468063 + 0.883695i \(0.344952\pi\)
\(24\) 6.14742 + 6.75488i 1.25484 + 1.37883i
\(25\) 4.35338 2.45929i 0.870676 0.491858i
\(26\) 0.747027 0.283294i 0.146504 0.0555585i
\(27\) −12.3813 + 7.14835i −2.38278 + 1.37570i
\(28\) 5.63468 0.151119i 1.06485 0.0285589i
\(29\) −2.13527 0.376505i −0.396509 0.0699153i −0.0281615 0.999603i \(-0.508965\pi\)
−0.368348 + 0.929688i \(0.620076\pi\)
\(30\) 9.21675 4.39607i 1.68274 0.802609i
\(31\) −2.48715 + 4.30786i −0.446705 + 0.773715i −0.998169 0.0604832i \(-0.980736\pi\)
0.551465 + 0.834198i \(0.314069\pi\)
\(32\) −3.15022 4.69852i −0.556886 0.830589i
\(33\) 12.5382 + 4.56353i 2.18262 + 0.794408i
\(34\) 2.91384 8.35245i 0.499720 1.43243i
\(35\) 1.65961 6.07957i 0.280525 1.02764i
\(36\) 13.8177 5.45305i 2.30295 0.908841i
\(37\) 4.45706 0.732736 0.366368 0.930470i \(-0.380601\pi\)
0.366368 + 0.930470i \(0.380601\pi\)
\(38\) 1.63276 + 5.94425i 0.264869 + 0.964284i
\(39\) 1.82426i 0.292116i
\(40\) −6.04705 + 1.85290i −0.956122 + 0.292969i
\(41\) 2.98373 + 3.55587i 0.465980 + 0.555333i 0.946940 0.321409i \(-0.104156\pi\)
−0.480961 + 0.876742i \(0.659712\pi\)
\(42\) 4.23946 12.1523i 0.654163 1.87514i
\(43\) 7.73389 + 2.81491i 1.17941 + 0.429269i 0.855993 0.516988i \(-0.172947\pi\)
0.323415 + 0.946257i \(0.395169\pi\)
\(44\) −7.26505 3.93865i −1.09525 0.593774i
\(45\) −1.36991 16.5516i −0.204214 2.46736i
\(46\) −0.299430 + 1.84224i −0.0441485 + 0.271624i
\(47\) −0.670645 + 3.80342i −0.0978236 + 0.554785i 0.896022 + 0.444010i \(0.146445\pi\)
−0.993845 + 0.110775i \(0.964667\pi\)
\(48\) −12.5818 + 2.92154i −1.81603 + 0.421687i
\(49\) −0.471551 0.816750i −0.0673644 0.116679i
\(50\) 0.0284946 + 7.07101i 0.00402974 + 0.999992i
\(51\) −15.4732 12.9836i −2.16668 1.81806i
\(52\) −0.166298 + 1.11757i −0.0230614 + 0.154979i
\(53\) −7.29038 + 2.65348i −1.00141 + 0.364484i −0.790129 0.612941i \(-0.789986\pi\)
−0.211283 + 0.977425i \(0.567764\pi\)
\(54\) −0.271053 20.2168i −0.0368857 2.75116i
\(55\) −6.56384 + 6.50258i −0.885067 + 0.876807i
\(56\) −3.70494 + 7.05820i −0.495094 + 0.943192i
\(57\) 14.0129 + 1.32681i 1.85605 + 0.175740i
\(58\) 1.93932 2.37514i 0.254645 0.311871i
\(59\) 1.57361 + 8.92439i 0.204867 + 1.16186i 0.897649 + 0.440711i \(0.145273\pi\)
−0.692783 + 0.721147i \(0.743615\pi\)
\(60\) −0.940059 + 14.4106i −0.121361 + 1.86039i
\(61\) 7.95821 2.89655i 1.01894 0.370865i 0.222083 0.975028i \(-0.428714\pi\)
0.796861 + 0.604162i \(0.206492\pi\)
\(62\) −3.59871 6.04454i −0.457037 0.767657i
\(63\) −16.0356 13.4555i −2.02030 1.69523i
\(64\) 7.97413 0.642820i 0.996767 0.0803525i
\(65\) 1.14236 + 0.539228i 0.141693 + 0.0668830i
\(66\) −14.2911 + 12.3219i −1.75911 + 1.51672i
\(67\) 4.11674 + 0.725892i 0.502940 + 0.0886819i 0.419361 0.907819i \(-0.362254\pi\)
0.0835784 + 0.996501i \(0.473365\pi\)
\(68\) 8.29551 + 9.36442i 1.00598 + 1.13560i
\(69\) 3.69073 + 2.13084i 0.444312 + 0.256523i
\(70\) 6.35673 + 6.24684i 0.759774 + 0.746641i
\(71\) −4.36440 1.58851i −0.517959 0.188522i 0.0697952 0.997561i \(-0.477765\pi\)
−0.587754 + 0.809040i \(0.699988\pi\)
\(72\) −2.81316 + 20.8186i −0.331534 + 2.45350i
\(73\) 0.244750 + 0.291682i 0.0286458 + 0.0341387i 0.780177 0.625559i \(-0.215129\pi\)
−0.751531 + 0.659697i \(0.770684\pi\)
\(74\) −3.07815 + 5.50052i −0.357828 + 0.639423i
\(75\) 15.1196 + 5.66419i 1.74586 + 0.654044i
\(76\) −8.46351 2.09022i −0.970831 0.239765i
\(77\) 11.6454i 1.32712i
\(78\) 2.25135 + 1.25988i 0.254915 + 0.142653i
\(79\) 6.60624 5.54330i 0.743260 0.623669i −0.190451 0.981697i \(-0.560995\pi\)
0.933711 + 0.358027i \(0.116551\pi\)
\(80\) 1.88955 8.74240i 0.211258 0.977430i
\(81\) −22.4436 8.16881i −2.49373 0.907645i
\(82\) −6.44898 + 1.22649i −0.712171 + 0.135443i
\(83\) −0.842748 + 1.45968i −0.0925037 + 0.160221i −0.908564 0.417746i \(-0.862820\pi\)
0.816060 + 0.577967i \(0.196154\pi\)
\(84\) 12.0695 + 13.6247i 1.31689 + 1.48657i
\(85\) 12.7041 5.85164i 1.37795 0.634700i
\(86\) −8.81513 + 7.60046i −0.950560 + 0.819579i
\(87\) −3.50073 6.06344i −0.375318 0.650069i
\(88\) 9.87816 6.24578i 1.05302 0.665802i
\(89\) 5.63638 6.71718i 0.597455 0.712020i −0.379565 0.925165i \(-0.623926\pi\)
0.977020 + 0.213145i \(0.0683708\pi\)
\(90\) 21.3726 + 9.74028i 2.25287 + 1.02672i
\(91\) 1.49617 0.544560i 0.156841 0.0570854i
\(92\) −2.06674 1.64183i −0.215473 0.171172i
\(93\) −15.8187 + 2.78926i −1.64032 + 0.289233i
\(94\) −4.23069 3.45438i −0.436362 0.356292i
\(95\) −4.97288 + 8.38275i −0.510206 + 0.860052i
\(96\) 5.08382 17.5451i 0.518865 1.79069i
\(97\) −0.0553455 0.313880i −0.00561948 0.0318697i 0.981869 0.189560i \(-0.0607062\pi\)
−0.987489 + 0.157691i \(0.949595\pi\)
\(98\) 1.33363 0.0178804i 0.134717 0.00180619i
\(99\) 10.4966 + 28.8392i 1.05495 + 2.89845i
\(100\) −8.74611 4.84824i −0.874611 0.484824i
\(101\) −1.65779 1.39105i −0.164957 0.138415i 0.556573 0.830799i \(-0.312116\pi\)
−0.721529 + 0.692384i \(0.756561\pi\)
\(102\) 26.7093 10.1289i 2.64462 1.00291i
\(103\) 14.9698 8.64280i 1.47501 0.851600i 0.475411 0.879764i \(-0.342299\pi\)
0.999603 + 0.0281636i \(0.00896592\pi\)
\(104\) −1.26436 0.977049i −0.123980 0.0958076i
\(105\) 18.4836 8.51379i 1.80382 0.830860i
\(106\) 1.76021 10.8297i 0.170967 1.05188i
\(107\) −3.82749 2.20980i −0.370018 0.213630i 0.303449 0.952848i \(-0.401862\pi\)
−0.673466 + 0.739218i \(0.735195\pi\)
\(108\) 25.1370 + 13.6277i 2.41881 + 1.31132i
\(109\) −6.07414 + 16.6886i −0.581797 + 1.59847i 0.203310 + 0.979114i \(0.434830\pi\)
−0.785107 + 0.619360i \(0.787392\pi\)
\(110\) −3.49178 12.5914i −0.332928 1.20054i
\(111\) 9.25132 + 11.0253i 0.878097 + 1.04648i
\(112\) −6.15190 9.44689i −0.581300 0.892647i
\(113\) −5.58482 −0.525376 −0.262688 0.964881i \(-0.584609\pi\)
−0.262688 + 0.964881i \(0.584609\pi\)
\(114\) −11.3151 + 16.3771i −1.05975 + 1.53386i
\(115\) −2.42528 + 1.68131i −0.226159 + 0.156783i
\(116\) 1.59186 + 4.03367i 0.147800 + 0.374517i
\(117\) 3.21432 2.69714i 0.297164 0.249350i
\(118\) −12.1005 4.22139i −1.11394 0.388610i
\(119\) 6.02955 16.5660i 0.552728 1.51861i
\(120\) −17.1350 11.1124i −1.56421 1.01442i
\(121\) 3.03674 5.25979i 0.276067 0.478163i
\(122\) −1.92146 + 11.8218i −0.173960 + 1.07029i
\(123\) −2.60285 + 14.7615i −0.234691 + 1.33100i
\(124\) 9.94501 0.266720i 0.893088 0.0239522i
\(125\) −8.01610 + 7.79372i −0.716982 + 0.697092i
\(126\) 27.6802 10.4971i 2.46595 0.935156i
\(127\) 6.16403 7.34601i 0.546969 0.651853i −0.419766 0.907633i \(-0.637888\pi\)
0.966735 + 0.255780i \(0.0823322\pi\)
\(128\) −4.71381 + 10.2849i −0.416646 + 0.909069i
\(129\) 9.08975 + 24.9739i 0.800308 + 2.19883i
\(130\) −1.45441 + 1.03740i −0.127560 + 0.0909864i
\(131\) 13.9043 2.45170i 1.21482 0.214206i 0.470728 0.882278i \(-0.343991\pi\)
0.744097 + 0.668072i \(0.232880\pi\)
\(132\) −5.33683 26.1466i −0.464512 2.27577i
\(133\) 3.09479 + 11.8887i 0.268353 + 1.03088i
\(134\) −3.73895 + 4.57921i −0.322996 + 0.395583i
\(135\) 22.7108 22.4988i 1.95464 1.93639i
\(136\) −17.2858 + 3.77032i −1.48225 + 0.323302i
\(137\) 1.10800 + 3.04419i 0.0946625 + 0.260083i 0.977982 0.208688i \(-0.0669192\pi\)
−0.883320 + 0.468771i \(0.844697\pi\)
\(138\) −5.17861 + 3.08317i −0.440833 + 0.262457i
\(139\) −4.98781 + 5.94424i −0.423061 + 0.504184i −0.934907 0.354893i \(-0.884517\pi\)
0.511846 + 0.859077i \(0.328962\pi\)
\(140\) −12.0994 + 3.53071i −1.02259 + 0.298399i
\(141\) −10.8004 + 6.23563i −0.909560 + 0.525135i
\(142\) 4.97456 4.28910i 0.417456 0.359933i
\(143\) −2.29886 0.405350i −0.192240 0.0338971i
\(144\) −23.7497 17.8496i −1.97915 1.48747i
\(145\) 4.83174 0.399905i 0.401254 0.0332103i
\(146\) −0.528999 + 0.100607i −0.0437802 + 0.00832630i
\(147\) 1.04159 2.86175i 0.0859091 0.236033i
\(148\) −4.66243 7.59759i −0.383249 0.624518i
\(149\) 6.49564 5.45049i 0.532144 0.446522i −0.336697 0.941613i \(-0.609310\pi\)
0.868841 + 0.495091i \(0.164865\pi\)
\(150\) −17.4322 + 14.7475i −1.42333 + 1.20413i
\(151\) −6.38778 −0.519830 −0.259915 0.965631i \(-0.583695\pi\)
−0.259915 + 0.965631i \(0.583695\pi\)
\(152\) 8.42468 9.00138i 0.683331 0.730108i
\(153\) 46.4595i 3.75603i
\(154\) −14.3718 8.04263i −1.15811 0.648093i
\(155\) 2.92915 10.7302i 0.235275 0.861873i
\(156\) −3.10967 + 1.90832i −0.248973 + 0.152788i
\(157\) −1.14780 + 3.15355i −0.0916042 + 0.251680i −0.977031 0.213099i \(-0.931644\pi\)
0.885426 + 0.464780i \(0.153866\pi\)
\(158\) 2.27863 + 11.9812i 0.181278 + 0.953172i
\(159\) −21.6962 12.5263i −1.72062 0.993399i
\(160\) 9.48416 + 8.36963i 0.749789 + 0.661677i
\(161\) −0.645891 + 3.66303i −0.0509033 + 0.288687i
\(162\) 25.5813 22.0564i 2.00986 1.73292i
\(163\) −2.42192 4.19490i −0.189700 0.328570i 0.755450 0.655206i \(-0.227418\pi\)
−0.945150 + 0.326636i \(0.894085\pi\)
\(164\) 2.94019 8.80583i 0.229590 0.687619i
\(165\) −29.7095 2.73966i −2.31288 0.213282i
\(166\) −1.21939 2.04814i −0.0946433 0.158967i
\(167\) −4.24838 11.6723i −0.328749 0.903231i −0.988429 0.151684i \(-0.951530\pi\)
0.659680 0.751547i \(-0.270692\pi\)
\(168\) −25.1499 + 5.48558i −1.94035 + 0.423222i
\(169\) −2.20201 12.4882i −0.169385 0.960631i
\(170\) −1.55213 + 19.7195i −0.119043 + 1.51242i
\(171\) 18.3799 + 26.6521i 1.40555 + 2.03814i
\(172\) −3.29190 16.1279i −0.251005 1.22974i
\(173\) 0.739843 + 4.19586i 0.0562492 + 0.319005i 0.999930 0.0118530i \(-0.00377301\pi\)
−0.943681 + 0.330858i \(0.892662\pi\)
\(174\) 9.90067 0.132742i 0.750568 0.0100631i
\(175\) −0.132133 + 14.0911i −0.00998835 + 1.06519i
\(176\) 0.885910 + 16.5043i 0.0667780 + 1.24406i
\(177\) −18.8097 + 22.4166i −1.41383 + 1.68493i
\(178\) 4.39715 + 11.5950i 0.329580 + 0.869081i
\(179\) −4.55533 7.89007i −0.340481 0.589731i 0.644041 0.764991i \(-0.277257\pi\)
−0.984522 + 0.175260i \(0.943923\pi\)
\(180\) −26.7811 + 19.6494i −1.99614 + 1.46458i
\(181\) 5.86853 + 1.03478i 0.436204 + 0.0769145i 0.387438 0.921896i \(-0.373360\pi\)
0.0487659 + 0.998810i \(0.484471\pi\)
\(182\) −0.361239 + 2.22253i −0.0267768 + 0.164745i
\(183\) 23.6836 + 13.6737i 1.75074 + 1.01079i
\(184\) 3.45355 1.41671i 0.254599 0.104441i
\(185\) −9.63869 + 2.53430i −0.708650 + 0.186326i
\(186\) 7.48250 21.4484i 0.548644 1.57267i
\(187\) −19.7995 + 16.6137i −1.44788 + 1.21491i
\(188\) 7.18492 2.83547i 0.524014 0.206798i
\(189\) 40.2931i 2.93089i
\(190\) −6.91089 11.9264i −0.501368 0.865234i
\(191\) 13.5430i 0.979940i −0.871739 0.489970i \(-0.837008\pi\)
0.871739 0.489970i \(-0.162992\pi\)
\(192\) 18.1417 + 18.3911i 1.30926 + 1.32726i
\(193\) 4.43606 3.72230i 0.319315 0.267937i −0.469015 0.883190i \(-0.655391\pi\)
0.788329 + 0.615254i \(0.210946\pi\)
\(194\) 0.425587 + 0.148470i 0.0305553 + 0.0106595i
\(195\) 1.03728 + 3.94508i 0.0742814 + 0.282513i
\(196\) −0.898968 + 1.65820i −0.0642120 + 0.118443i
\(197\) −9.24232 5.33605i −0.658488 0.380178i 0.133213 0.991087i \(-0.457471\pi\)
−0.791701 + 0.610909i \(0.790804\pi\)
\(198\) −42.8401 6.96303i −3.04451 0.494841i
\(199\) 9.82167 + 1.73183i 0.696240 + 0.122766i 0.510557 0.859844i \(-0.329439\pi\)
0.185683 + 0.982610i \(0.440550\pi\)
\(200\) 12.0236 7.44539i 0.850195 0.526469i
\(201\) 6.74932 + 11.6902i 0.476060 + 0.824560i
\(202\) 2.86163 1.08521i 0.201344 0.0763552i
\(203\) 3.92793 4.68112i 0.275686 0.328550i
\(204\) −5.94585 + 39.9577i −0.416293 + 2.79760i
\(205\) −8.47439 5.99324i −0.591877 0.418586i
\(206\) 0.327720 + 24.4433i 0.0228333 + 1.70305i
\(207\) 1.70216 + 9.65343i 0.118308 + 0.670960i
\(208\) 2.07899 0.885585i 0.144152 0.0614043i
\(209\) 4.78564 17.3636i 0.331030 1.20106i
\(210\) −2.25826 + 28.6907i −0.155834 + 1.97985i
\(211\) −3.26254 18.5028i −0.224602 1.27378i −0.863444 0.504445i \(-0.831697\pi\)
0.638841 0.769339i \(-0.279414\pi\)
\(212\) 12.1495 + 9.65158i 0.834429 + 0.662873i
\(213\) −5.12953 14.0933i −0.351470 0.965656i
\(214\) 5.37051 3.19742i 0.367120 0.218571i
\(215\) −18.3256 1.68990i −1.24980 0.115250i
\(216\) −34.1783 + 21.6103i −2.32554 + 1.47040i
\(217\) −7.00965 12.1411i −0.475846 0.824189i
\(218\) −16.4006 19.0217i −1.11079 1.28831i
\(219\) −0.213507 + 1.21086i −0.0144275 + 0.0818224i
\(220\) 17.9507 + 4.38664i 1.21023 + 0.295747i
\(221\) 3.06033 + 1.76688i 0.205860 + 0.118853i
\(222\) −19.9957 + 3.80285i −1.34202 + 0.255231i
\(223\) −3.57954 + 9.83471i −0.239704 + 0.658581i 0.760256 + 0.649624i \(0.225073\pi\)
−0.999960 + 0.00895738i \(0.997149\pi\)
\(224\) 15.9072 1.06790i 1.06284 0.0713522i
\(225\) 12.3738 + 35.0149i 0.824921 + 2.33433i
\(226\) 3.85701 6.89230i 0.256565 0.458469i
\(227\) 12.5473i 0.832797i −0.909182 0.416398i \(-0.863292\pi\)
0.909182 0.416398i \(-0.136708\pi\)
\(228\) −12.3968 25.2745i −0.820999 1.67385i
\(229\) −22.9214 −1.51469 −0.757343 0.653017i \(-0.773503\pi\)
−0.757343 + 0.653017i \(0.773503\pi\)
\(230\) −0.399971 4.15423i −0.0263733 0.273922i
\(231\) −28.8070 + 24.1719i −1.89536 + 1.59040i
\(232\) −6.07738 0.821218i −0.399000 0.0539156i
\(233\) 9.61700 26.4225i 0.630031 1.73100i −0.0509574 0.998701i \(-0.516227\pi\)
0.680988 0.732294i \(-0.261551\pi\)
\(234\) 1.10869 + 5.82955i 0.0724771 + 0.381090i
\(235\) −0.712325 8.60647i −0.0464670 0.561424i
\(236\) 13.5666 12.0180i 0.883108 0.782306i
\(237\) 27.4246 + 4.83569i 1.78142 + 0.314112i
\(238\) 16.2802 + 18.8821i 1.05529 + 1.22394i
\(239\) −1.00859 + 0.582307i −0.0652400 + 0.0376663i −0.532265 0.846578i \(-0.678659\pi\)
0.467025 + 0.884244i \(0.345326\pi\)
\(240\) 25.5479 13.4721i 1.64911 0.869621i
\(241\) 4.91649 5.85924i 0.316699 0.377427i −0.584087 0.811691i \(-0.698547\pi\)
0.900785 + 0.434264i \(0.142992\pi\)
\(242\) 4.39394 + 7.38023i 0.282453 + 0.474419i
\(243\) −11.7090 32.1702i −0.751132 2.06372i
\(244\) −13.2624 10.5357i −0.849039 0.674479i
\(245\) 1.48417 + 1.49815i 0.0948199 + 0.0957132i
\(246\) −16.4198 13.4069i −1.04689 0.854791i
\(247\) −2.45460 + 0.197107i −0.156182 + 0.0125416i
\(248\) −6.53910 + 12.4575i −0.415233 + 0.791051i
\(249\) −5.36003 + 0.945118i −0.339678 + 0.0598944i
\(250\) −4.08223 15.2753i −0.258183 0.966096i
\(251\) 1.82431 + 5.01226i 0.115150 + 0.316371i 0.983857 0.178954i \(-0.0572713\pi\)
−0.868708 + 0.495325i \(0.835049\pi\)
\(252\) −6.16197 + 41.4100i −0.388168 + 2.60859i
\(253\) 3.50528 4.17743i 0.220375 0.262633i
\(254\) 4.80878 + 12.6805i 0.301730 + 0.795642i
\(255\) 40.8443 + 19.2797i 2.55777 + 1.20734i
\(256\) −9.43732 12.9204i −0.589832 0.807526i
\(257\) 0.569709 3.23098i 0.0355375 0.201543i −0.961870 0.273508i \(-0.911816\pi\)
0.997407 + 0.0719651i \(0.0229270\pi\)
\(258\) −37.0982 6.02977i −2.30963 0.375397i
\(259\) −6.28078 + 10.8786i −0.390269 + 0.675965i
\(260\) −0.275823 2.51137i −0.0171058 0.155748i
\(261\) 5.50794 15.1329i 0.340933 0.936705i
\(262\) −6.57696 + 18.8527i −0.406326 + 1.16472i
\(263\) 8.51164 7.14211i 0.524850 0.440401i −0.341469 0.939893i \(-0.610924\pi\)
0.866319 + 0.499492i \(0.166480\pi\)
\(264\) 35.9537 + 11.4712i 2.21280 + 0.706005i
\(265\) 14.2571 9.88367i 0.875810 0.607149i
\(266\) −16.8094 4.39129i −1.03065 0.269248i
\(267\) 28.3153 1.73287
\(268\) −3.06906 7.77681i −0.187472 0.475044i
\(269\) −10.2372 12.2002i −0.624173 0.743860i 0.357609 0.933871i \(-0.383592\pi\)
−0.981782 + 0.190011i \(0.939148\pi\)
\(270\) 12.0815 + 43.5660i 0.735258 + 2.65134i
\(271\) 9.24854 25.4102i 0.561809 1.54356i −0.255173 0.966895i \(-0.582133\pi\)
0.816982 0.576662i \(-0.195645\pi\)
\(272\) 7.28502 23.9366i 0.441719 1.45137i
\(273\) 4.45259 + 2.57070i 0.269483 + 0.155586i
\(274\) −4.52209 0.735000i −0.273190 0.0444030i
\(275\) 10.4973 17.7945i 0.633013 1.07305i
\(276\) −0.228511 8.52031i −0.0137547 0.512862i
\(277\) 26.1346 15.0888i 1.57028 0.906600i 0.574142 0.818756i \(-0.305336\pi\)
0.996134 0.0878440i \(-0.0279977\pi\)
\(278\) −3.89117 10.2608i −0.233377 0.615400i
\(279\) −28.3023 23.7484i −1.69441 1.42178i
\(280\) 3.99886 17.3705i 0.238978 1.03808i
\(281\) 7.77420 + 21.3594i 0.463770 + 1.27420i 0.922629 + 0.385688i \(0.126036\pi\)
−0.458859 + 0.888509i \(0.651742\pi\)
\(282\) −0.236444 17.6354i −0.0140801 1.05018i
\(283\) 1.45601 + 8.25746i 0.0865510 + 0.490855i 0.997011 + 0.0772584i \(0.0246166\pi\)
−0.910460 + 0.413597i \(0.864272\pi\)
\(284\) 1.85769 + 9.10133i 0.110234 + 0.540065i
\(285\) −31.0581 + 5.09845i −1.83973 + 0.302006i
\(286\) 2.08789 2.55711i 0.123460 0.151205i
\(287\) −12.8836 + 2.27173i −0.760496 + 0.134096i
\(288\) 38.4306 16.9825i 2.26454 1.00071i
\(289\) 20.7925 7.56787i 1.22309 0.445169i
\(290\) −2.84339 + 6.23910i −0.166969 + 0.366373i
\(291\) 0.661557 0.788413i 0.0387812 0.0462176i
\(292\) 0.241179 0.722326i 0.0141139 0.0422710i
\(293\) 12.4273 + 21.5247i 0.726009 + 1.25748i 0.958557 + 0.284900i \(0.0919603\pi\)
−0.232548 + 0.972585i \(0.574706\pi\)
\(294\) 2.81238 + 3.26184i 0.164021 + 0.190234i
\(295\) −8.47749 18.4048i −0.493578 1.07157i
\(296\) 12.5963 0.506891i 0.732144 0.0294624i
\(297\) −29.5370 + 51.1597i −1.71391 + 2.96858i
\(298\) 2.24048 + 11.7806i 0.129788 + 0.682432i
\(299\) −0.700614 0.255003i −0.0405175 0.0147472i
\(300\) −6.16097 31.6983i −0.355703 1.83010i
\(301\) −17.7689 + 14.9099i −1.02418 + 0.859393i
\(302\) 4.41156 7.88326i 0.253857 0.453630i
\(303\) 6.98818i 0.401461i
\(304\) 5.29045 + 16.6136i 0.303428 + 0.952854i
\(305\) −15.5632 + 10.7891i −0.891144 + 0.617780i
\(306\) 57.3363 + 32.0861i 3.27770 + 1.83424i
\(307\) 12.0828 + 14.3997i 0.689602 + 0.821835i 0.991307 0.131566i \(-0.0420004\pi\)
−0.301706 + 0.953401i \(0.597556\pi\)
\(308\) 19.8510 12.1820i 1.13112 0.694136i
\(309\) 52.4515 + 19.0908i 2.98386 + 1.08604i
\(310\) 11.2194 + 11.0255i 0.637219 + 0.626204i
\(311\) 19.6340 + 11.3357i 1.11334 + 0.642789i 0.939693 0.342019i \(-0.111111\pi\)
0.173650 + 0.984807i \(0.444444\pi\)
\(312\) −0.207469 5.15562i −0.0117456 0.291879i
\(313\) −8.60598 1.51747i −0.486439 0.0857723i −0.0749505 0.997187i \(-0.523880\pi\)
−0.411489 + 0.911415i \(0.634991\pi\)
\(314\) −3.09914 3.59443i −0.174895 0.202845i
\(315\) 42.3289 + 19.9804i 2.38496 + 1.12577i
\(316\) −16.3598 5.46241i −0.920313 0.307285i
\(317\) 18.1129 + 15.1985i 1.01732 + 0.853635i 0.989289 0.145972i \(-0.0466308\pi\)
0.0280342 + 0.999607i \(0.491075\pi\)
\(318\) 30.4428 18.1246i 1.70715 1.01638i
\(319\) −8.41875 + 3.06418i −0.471360 + 0.171561i
\(320\) −16.8791 + 5.92427i −0.943569 + 0.331177i
\(321\) −2.47823 14.0547i −0.138321 0.784459i
\(322\) −4.07453 3.32688i −0.227065 0.185400i
\(323\) −15.7979 + 22.2225i −0.879019 + 1.23649i
\(324\) 9.55304 + 46.8030i 0.530724 + 2.60017i
\(325\) −2.77704 0.516563i −0.154043 0.0286537i
\(326\) 6.84962 0.0918352i 0.379365 0.00508628i
\(327\) −53.8898 + 19.6143i −2.98011 + 1.08467i
\(328\) 8.83683 + 9.71005i 0.487932 + 0.536148i
\(329\) −8.33818 6.99657i −0.459699 0.385733i
\(330\) 23.8991 34.7728i 1.31560 1.91418i
\(331\) −4.63548 8.02889i −0.254789 0.441308i 0.710049 0.704152i \(-0.248673\pi\)
−0.964838 + 0.262844i \(0.915339\pi\)
\(332\) 3.36978 0.0903759i 0.184941 0.00496002i
\(333\) −5.74851 + 32.6014i −0.315016 + 1.78655i
\(334\) 17.3390 + 2.81820i 0.948748 + 0.154205i
\(335\) −9.31546 + 0.771006i −0.508958 + 0.0421246i
\(336\) 10.5993 34.8263i 0.578237 1.89993i
\(337\) −25.9347 9.43947i −1.41275 0.514201i −0.480817 0.876821i \(-0.659660\pi\)
−0.931937 + 0.362620i \(0.881882\pi\)
\(338\) 16.9326 + 5.90712i 0.921013 + 0.321305i
\(339\) −11.5922 13.8150i −0.629600 0.750328i
\(340\) −23.2642 15.5343i −1.26168 0.842466i
\(341\) 20.5538i 1.11305i
\(342\) −45.5854 + 4.27634i −2.46498 + 0.231238i
\(343\) −17.0705 −0.921719
\(344\) 22.1772 + 7.07576i 1.19571 + 0.381500i
\(345\) −9.19305 2.50952i −0.494937 0.135108i
\(346\) −5.68912 1.98471i −0.305849 0.106699i
\(347\) −20.0651 7.30310i −1.07715 0.392051i −0.258305 0.966063i \(-0.583164\pi\)
−0.818847 + 0.574012i \(0.805386\pi\)
\(348\) −6.67382 + 12.3102i −0.357755 + 0.659898i
\(349\) −5.82027 + 10.0810i −0.311552 + 0.539624i −0.978699 0.205303i \(-0.934182\pi\)
0.667147 + 0.744926i \(0.267515\pi\)
\(350\) −17.2988 9.89475i −0.924661 0.528896i
\(351\) 7.95402 + 1.40251i 0.424554 + 0.0748603i
\(352\) −20.9800 10.3049i −1.11824 0.549255i
\(353\) −28.5481 + 16.4823i −1.51946 + 0.877263i −0.519726 + 0.854333i \(0.673966\pi\)
−0.999737 + 0.0229297i \(0.992701\pi\)
\(354\) −14.6742 38.6948i −0.779922 2.05660i
\(355\) 10.3415 + 0.953643i 0.548871 + 0.0506141i
\(356\) −17.3463 2.58120i −0.919353 0.136803i
\(357\) 53.4942 19.4703i 2.83121 1.03048i
\(358\) 12.8833 0.172730i 0.680902 0.00912908i
\(359\) 10.3595 1.82666i 0.546753 0.0964073i 0.106553 0.994307i \(-0.466019\pi\)
0.440200 + 0.897900i \(0.354907\pi\)
\(360\) −5.75393 46.6212i −0.303259 2.45715i
\(361\) 0.271212 18.9981i 0.0142743 0.999898i
\(362\) −5.32998 + 6.52779i −0.280138 + 0.343093i
\(363\) 19.3142 3.40562i 1.01373 0.178749i
\(364\) −2.49337 1.98074i −0.130688 0.103819i
\(365\) −0.695139 0.491615i −0.0363852 0.0257323i
\(366\) −33.2314 + 19.7849i −1.73704 + 1.03417i
\(367\) 5.52473 + 4.63580i 0.288388 + 0.241987i 0.775492 0.631358i \(-0.217502\pi\)
−0.487103 + 0.873344i \(0.661946\pi\)
\(368\) −0.636716 + 5.24049i −0.0331911 + 0.273179i
\(369\) −29.8579 + 17.2384i −1.55434 + 0.897397i
\(370\) 3.52909 13.6455i 0.183469 0.709395i
\(371\) 3.79691 21.5333i 0.197126 1.11795i
\(372\) 21.3022 + 24.0471i 1.10447 + 1.24678i
\(373\) 7.45991 12.9209i 0.386260 0.669021i −0.605683 0.795706i \(-0.707100\pi\)
0.991943 + 0.126684i \(0.0404335\pi\)
\(374\) −6.82924 35.9086i −0.353132 1.85679i
\(375\) −35.9178 3.65212i −1.85479 0.188594i
\(376\) −1.46278 + 10.8253i −0.0754373 + 0.558270i
\(377\) 0.787349 + 0.938326i 0.0405506 + 0.0483263i
\(378\) 49.7263 + 27.8274i 2.55765 + 1.43129i
\(379\) 2.02304 0.103916 0.0519582 0.998649i \(-0.483454\pi\)
0.0519582 + 0.998649i \(0.483454\pi\)
\(380\) 19.4914 0.292145i 0.999888 0.0149867i
\(381\) 30.9660 1.58644
\(382\) 16.7137 + 9.35315i 0.855145 + 0.478549i
\(383\) 11.9189 + 14.2044i 0.609027 + 0.725810i 0.979142 0.203176i \(-0.0651262\pi\)
−0.370115 + 0.928986i \(0.620682\pi\)
\(384\) −35.2258 + 9.68757i −1.79761 + 0.494367i
\(385\) −6.62165 25.1840i −0.337471 1.28350i
\(386\) 1.53009 + 8.04532i 0.0778795 + 0.409496i
\(387\) −30.5646 + 52.9394i −1.55369 + 2.69106i
\(388\) −0.477150 + 0.422685i −0.0242236 + 0.0214586i
\(389\) 1.53823 8.72375i 0.0779915 0.442312i −0.920659 0.390369i \(-0.872348\pi\)
0.998650 0.0519429i \(-0.0165414\pi\)
\(390\) −5.58506 1.44444i −0.282810 0.0731423i
\(391\) −7.14928 + 4.12764i −0.361555 + 0.208744i
\(392\) −1.42555 2.25462i −0.0720014 0.113876i
\(393\) 34.9253 + 29.3058i 1.76175 + 1.47828i
\(394\) 12.9683 7.72087i 0.653332 0.388972i
\(395\) −11.1345 + 15.7441i −0.560237 + 0.792170i
\(396\) 38.1796 48.0607i 1.91860 2.41514i
\(397\) −11.5311 + 2.03325i −0.578730 + 0.102046i −0.455348 0.890314i \(-0.650485\pi\)
−0.123382 + 0.992359i \(0.539374\pi\)
\(398\) −8.92036 + 10.9250i −0.447137 + 0.547622i
\(399\) −22.9850 + 32.3323i −1.15069 + 1.61864i
\(400\) 0.884699 + 19.9804i 0.0442349 + 0.999021i
\(401\) 34.3828 6.06262i 1.71700 0.302753i 0.773417 0.633897i \(-0.218546\pi\)
0.943580 + 0.331144i \(0.107435\pi\)
\(402\) −19.0882 + 0.255923i −0.952035 + 0.0127643i
\(403\) 2.64068 0.961130i 0.131542 0.0478773i
\(404\) −0.637037 + 4.28105i −0.0316938 + 0.212990i
\(405\) 53.1806 + 4.90404i 2.64257 + 0.243684i
\(406\) 3.06432 + 8.08041i 0.152080 + 0.401024i
\(407\) 15.9492 9.20830i 0.790575 0.456439i
\(408\) −45.2060 34.9336i −2.23803 1.72947i
\(409\) −2.58551 0.455896i −0.127845 0.0225426i 0.109359 0.994002i \(-0.465120\pi\)
−0.237205 + 0.971460i \(0.576231\pi\)
\(410\) 13.2490 6.31929i 0.654319 0.312087i
\(411\) −5.23051 + 9.05951i −0.258002 + 0.446873i
\(412\) −30.3922 16.4767i −1.49732 0.811749i
\(413\) −23.9998 8.73522i −1.18095 0.429832i
\(414\) −13.0890 4.56623i −0.643289 0.224418i
\(415\) 0.992516 3.63585i 0.0487207 0.178477i
\(416\) −0.342884 + 3.17731i −0.0168113 + 0.155781i
\(417\) −25.0571 −1.22705
\(418\) 18.1236 + 17.8977i 0.886452 + 0.875407i
\(419\) 3.72399i 0.181929i 0.995854 + 0.0909645i \(0.0289950\pi\)
−0.995854 + 0.0909645i \(0.971005\pi\)
\(420\) −33.8481 22.6015i −1.65162 1.10284i
\(421\) 18.6137 + 22.1829i 0.907176 + 1.08113i 0.996371 + 0.0851165i \(0.0271262\pi\)
−0.0891946 + 0.996014i \(0.528429\pi\)
\(422\) 25.0877 + 8.75212i 1.22125 + 0.426047i
\(423\) −26.9553 9.81094i −1.31061 0.477024i
\(424\) −20.3019 + 8.32823i −0.985946 + 0.404455i
\(425\) −24.1461 + 19.8781i −1.17126 + 0.964232i
\(426\) 20.9353 + 3.40273i 1.01432 + 0.164863i
\(427\) −4.14472 + 23.5059i −0.200577 + 1.13753i
\(428\) 0.236978 + 8.83603i 0.0114548 + 0.427106i
\(429\) −3.76893 6.52798i −0.181966 0.315174i
\(430\) 14.7416 21.4488i 0.710905 1.03435i
\(431\) 10.2374 + 8.59023i 0.493120 + 0.413777i 0.855143 0.518392i \(-0.173469\pi\)
−0.362023 + 0.932169i \(0.617914\pi\)
\(432\) −3.06524 57.1046i −0.147476 2.74745i
\(433\) −24.4274 + 8.89084i −1.17391 + 0.427267i −0.854046 0.520198i \(-0.825858\pi\)
−0.319860 + 0.947465i \(0.603636\pi\)
\(434\) 19.8245 0.265794i 0.951607 0.0127585i
\(435\) 11.0183 + 11.1221i 0.528285 + 0.533262i
\(436\) 34.8016 7.10342i 1.66670 0.340192i
\(437\) 2.46834 5.19622i 0.118077 0.248569i
\(438\) −1.34689 1.09974i −0.0643568 0.0525477i
\(439\) 2.44945 + 13.8915i 0.116906 + 0.663006i 0.985789 + 0.167989i \(0.0537273\pi\)
−0.868883 + 0.495018i \(0.835162\pi\)
\(440\) −17.8108 + 19.1237i −0.849096 + 0.911685i
\(441\) 6.58234 2.39578i 0.313445 0.114085i
\(442\) −4.29407 + 2.55654i −0.204248 + 0.121602i
\(443\) −6.99146 5.86653i −0.332174 0.278727i 0.461411 0.887187i \(-0.347343\pi\)
−0.793585 + 0.608459i \(0.791788\pi\)
\(444\) 9.11633 27.3033i 0.432642 1.29576i
\(445\) −8.36963 + 17.7312i −0.396758 + 0.840540i
\(446\) −9.66504 11.2097i −0.457653 0.530792i
\(447\) 26.9654 + 4.75474i 1.27542 + 0.224891i
\(448\) −9.66798 + 20.3688i −0.456769 + 0.962336i
\(449\) −31.8056 18.3629i −1.50100 0.866601i −0.999999 0.00115263i \(-0.999633\pi\)
−0.500998 0.865449i \(-0.667034\pi\)
\(450\) −51.7580 8.91143i −2.43990 0.420089i
\(451\) 18.0235 + 6.56001i 0.848692 + 0.308899i
\(452\) 5.84215 + 9.51998i 0.274792 + 0.447782i
\(453\) −13.2588 15.8013i −0.622955 0.742409i
\(454\) 15.4849 + 8.66550i 0.726741 + 0.406692i
\(455\) −2.92592 + 2.02837i −0.137169 + 0.0950916i
\(456\) 39.7532 + 2.15611i 1.86161 + 0.100969i
\(457\) 36.2675i 1.69652i 0.529580 + 0.848260i \(0.322350\pi\)
−0.529580 + 0.848260i \(0.677650\pi\)
\(458\) 15.8300 28.2876i 0.739689 1.32179i
\(459\) 68.5059 57.4833i 3.19758 2.68309i
\(460\) 5.40302 + 2.37540i 0.251917 + 0.110754i
\(461\) −7.69281 2.79995i −0.358290 0.130407i 0.156602 0.987662i \(-0.449946\pi\)
−0.514892 + 0.857255i \(0.672168\pi\)
\(462\) −9.93613 52.2449i −0.462271 2.43065i
\(463\) 12.7076 22.0102i 0.590572 1.02290i −0.403584 0.914943i \(-0.632236\pi\)
0.994156 0.107958i \(-0.0344311\pi\)
\(464\) 5.21066 6.93303i 0.241899 0.321858i
\(465\) 32.6230 15.0265i 1.51285 0.696839i
\(466\) 25.9666 + 30.1165i 1.20288 + 1.39512i
\(467\) −12.3795 21.4419i −0.572855 0.992215i −0.996271 0.0862791i \(-0.972502\pi\)
0.423416 0.905936i \(-0.360831\pi\)
\(468\) −7.96002 2.65778i −0.367952 0.122856i
\(469\) −7.57294 + 9.02508i −0.349686 + 0.416739i
\(470\) 11.1133 + 5.06474i 0.512619 + 0.233619i
\(471\) −10.1833 + 3.70641i −0.469220 + 0.170782i
\(472\) 5.46220 + 25.0426i 0.251418 + 1.15268i
\(473\) 33.4907 5.90532i 1.53991 0.271527i
\(474\) −24.9079 + 30.5054i −1.14406 + 1.40116i
\(475\) 5.98770 20.9558i 0.274735 0.961520i
\(476\) −34.5462 + 7.05128i −1.58342 + 0.323195i
\(477\) −10.0062 56.7482i −0.458155 2.59832i
\(478\) −0.0220801 1.64687i −0.00100992 0.0753259i
\(479\) −6.91009 18.9853i −0.315730 0.867462i −0.991472 0.130323i \(-0.958399\pi\)
0.675741 0.737139i \(-0.263824\pi\)
\(480\) −1.01786 + 40.8332i −0.0464588 + 1.86377i
\(481\) −1.92886 1.61851i −0.0879486 0.0737977i
\(482\) 3.83553 + 10.1140i 0.174703 + 0.460682i
\(483\) −10.4018 + 6.00547i −0.473297 + 0.273258i
\(484\) −12.1426 + 0.325659i −0.551937 + 0.0148027i
\(485\) 0.298162 + 0.647316i 0.0135388 + 0.0293931i
\(486\) 47.7882 + 7.76728i 2.16772 + 0.352331i
\(487\) 11.3667 + 6.56258i 0.515075 + 0.297379i 0.734917 0.678157i \(-0.237221\pi\)
−0.219842 + 0.975535i \(0.570554\pi\)
\(488\) 22.1616 9.09113i 1.00321 0.411536i
\(489\) 5.34971 14.6982i 0.241922 0.664676i
\(490\) −2.87389 + 0.796973i −0.129829 + 0.0360036i
\(491\) 3.70027 + 4.40981i 0.166991 + 0.199012i 0.843050 0.537836i \(-0.180758\pi\)
−0.676059 + 0.736848i \(0.736313\pi\)
\(492\) 27.8855 11.0048i 1.25718 0.496135i
\(493\) 13.5625 0.610823
\(494\) 1.45195 3.16538i 0.0653264 0.142417i
\(495\) −39.0977 56.3983i −1.75731 2.53491i
\(496\) −10.8579 16.6734i −0.487534 0.748659i
\(497\) 10.0274 8.41397i 0.449789 0.377418i
\(498\) 2.53538 7.26761i 0.113613 0.325669i
\(499\) −11.3368 + 31.1477i −0.507506 + 1.39436i 0.376295 + 0.926500i \(0.377198\pi\)
−0.883801 + 0.467863i \(0.845024\pi\)
\(500\) 21.6708 + 5.51157i 0.969147 + 0.246485i
\(501\) 20.0553 34.7368i 0.896005 1.55193i
\(502\) −7.44561 1.21018i −0.332314 0.0540128i
\(503\) 4.01368 22.7627i 0.178961 1.01494i −0.754510 0.656288i \(-0.772126\pi\)
0.933472 0.358651i \(-0.116763\pi\)
\(504\) −46.8491 36.2034i −2.08683 1.61263i
\(505\) 4.37605 + 2.06562i 0.194732 + 0.0919187i
\(506\) 2.73459 + 7.21094i 0.121567 + 0.320566i
\(507\) 26.3211 31.3682i 1.16896 1.39311i
\(508\) −18.9702 2.82284i −0.841666 0.125243i
\(509\) −6.80201 18.6884i −0.301494 0.828348i −0.994241 0.107167i \(-0.965822\pi\)
0.692747 0.721181i \(-0.256400\pi\)
\(510\) −52.0014 + 37.0915i −2.30266 + 1.64244i
\(511\) −1.05682 + 0.186346i −0.0467510 + 0.00824347i
\(512\) 22.4629 2.72358i 0.992730 0.120366i
\(513\) −16.5583 + 60.0778i −0.731066 + 2.65250i
\(514\) 3.59395 + 2.93448i 0.158522 + 0.129434i
\(515\) −27.4588 + 27.2025i −1.20998 + 1.19868i
\(516\) 33.0624 41.6191i 1.45549 1.83218i
\(517\) 5.45802 + 14.9958i 0.240043 + 0.659514i
\(518\) −9.08782 15.2642i −0.399296 0.670672i
\(519\) −8.84351 + 10.5393i −0.388187 + 0.462623i
\(520\) 3.28981 + 1.39402i 0.144268 + 0.0611316i
\(521\) −27.8255 + 16.0650i −1.21906 + 0.703822i −0.964716 0.263292i \(-0.915192\pi\)
−0.254340 + 0.967115i \(0.581858\pi\)
\(522\) 14.8719 + 17.2486i 0.650923 + 0.754950i
\(523\) 16.4500 + 2.90057i 0.719307 + 0.126833i 0.521308 0.853369i \(-0.325444\pi\)
0.197999 + 0.980202i \(0.436556\pi\)
\(524\) −18.7242 21.1369i −0.817970 0.923368i
\(525\) −35.1311 + 28.9215i −1.53325 + 1.26224i
\(526\) 2.93584 + 15.4368i 0.128009 + 0.673079i
\(527\) 10.6419 29.2385i 0.463570 1.27365i
\(528\) −38.9873 + 36.4486i −1.69670 + 1.58622i
\(529\) −16.2848 + 13.6645i −0.708033 + 0.594110i
\(530\) 2.35125 + 24.4209i 0.102132 + 1.06077i
\(531\) −67.3075 −2.92090
\(532\) 17.0283 17.7119i 0.738271 0.767910i
\(533\) 2.62235i 0.113587i
\(534\) −19.5552 + 34.9443i −0.846237 + 1.51219i
\(535\) 9.53370 + 2.60252i 0.412178 + 0.112517i
\(536\) 11.7170 + 1.58329i 0.506099 + 0.0683875i
\(537\) 10.0621 27.6455i 0.434213 1.19299i
\(538\) 22.1265 4.20811i 0.953942 0.181424i
\(539\) −3.37482 1.94845i −0.145364 0.0839257i
\(540\) −62.1092 15.1777i −2.67275 0.653146i
\(541\) 6.44890 36.5735i 0.277260 1.57242i −0.454431 0.890782i \(-0.650157\pi\)
0.731691 0.681637i \(-0.238732\pi\)
\(542\) 24.9718 + 28.9626i 1.07263 + 1.24405i
\(543\) 9.62134 + 16.6646i 0.412891 + 0.715148i
\(544\) 24.5093 + 25.5217i 1.05083 + 1.09423i
\(545\) 3.64654 39.5439i 0.156200 1.69387i
\(546\) −6.24761 + 3.71962i −0.267373 + 0.159185i
\(547\) −15.0468 41.3406i −0.643353 1.76760i −0.640930 0.767600i \(-0.721451\pi\)
−0.00242311 0.999997i \(-0.500771\pi\)
\(548\) 4.03014 5.07317i 0.172159 0.216715i
\(549\) 10.9229 + 61.9466i 0.466176 + 2.64382i
\(550\) 14.7107 + 25.2442i 0.627266 + 1.07642i
\(551\) −7.78030 + 5.36547i −0.331452 + 0.228577i
\(552\) 10.6729 + 5.60232i 0.454267 + 0.238451i
\(553\) 4.22052 + 23.9357i 0.179475 + 1.01785i
\(554\) 0.572142 + 42.6738i 0.0243080 + 1.81304i
\(555\) −26.2756 18.5826i −1.11534 0.788787i
\(556\) 15.3503 + 2.28418i 0.650998 + 0.0968709i
\(557\) 10.6145 12.6498i 0.449749 0.535990i −0.492762 0.870164i \(-0.664013\pi\)
0.942511 + 0.334174i \(0.108457\pi\)
\(558\) 48.8545 18.5270i 2.06818 0.784311i
\(559\) −2.32478 4.02663i −0.0983276 0.170308i
\(560\) 18.6754 + 16.9315i 0.789181 + 0.715487i
\(561\) −82.1937 14.4930i −3.47022 0.611894i
\(562\) −31.7290 5.15709i −1.33841 0.217539i
\(563\) −7.00421 4.04388i −0.295192 0.170429i 0.345089 0.938570i \(-0.387849\pi\)
−0.640281 + 0.768141i \(0.721182\pi\)
\(564\) 21.9274 + 11.8877i 0.923312 + 0.500561i
\(565\) 12.0775 3.17555i 0.508106 0.133596i
\(566\) −11.1962 3.90592i −0.470612 0.164178i
\(567\) 51.5651 43.2683i 2.16553 1.81710i
\(568\) −12.5151 3.99300i −0.525120 0.167543i
\(569\) 28.6825i 1.20243i 0.799086 + 0.601217i \(0.205317\pi\)
−0.799086 + 0.601217i \(0.794683\pi\)
\(570\) 15.1574 41.8504i 0.634875 1.75292i
\(571\) 38.2969i 1.60268i 0.598212 + 0.801338i \(0.295878\pi\)
−0.598212 + 0.801338i \(0.704122\pi\)
\(572\) 1.71381 + 4.34270i 0.0716581 + 0.181577i
\(573\) 33.5010 28.1107i 1.39952 1.17434i
\(574\) 6.09417 17.4688i 0.254366 0.729133i
\(575\) 4.28883 5.01497i 0.178856 0.209139i
\(576\) −5.58272 + 59.1563i −0.232613 + 2.46485i
\(577\) −36.5884 21.1243i −1.52319 0.879416i −0.999624 0.0274329i \(-0.991267\pi\)
−0.523569 0.851983i \(-0.675400\pi\)
\(578\) −5.02022 + 30.8869i −0.208814 + 1.28473i
\(579\) 18.4155 + 3.24715i 0.765321 + 0.134947i
\(580\) −5.73605 7.81794i −0.238177 0.324622i
\(581\) −2.37516 4.11390i −0.0985383 0.170673i
\(582\) 0.516105 + 1.36093i 0.0213932 + 0.0564125i
\(583\) −20.6060 + 24.5572i −0.853412 + 1.01706i
\(584\) 0.724870 + 0.796498i 0.0299953 + 0.0329593i
\(585\) −5.41758 + 7.66041i −0.223989 + 0.316719i
\(586\) −35.1465 + 0.471221i −1.45189 + 0.0194660i
\(587\) 4.73543 + 26.8560i 0.195452 + 1.10846i 0.911774 + 0.410693i \(0.134713\pi\)
−0.716321 + 0.697770i \(0.754176\pi\)
\(588\) −5.96778 + 1.21809i −0.246107 + 0.0502334i
\(589\) 5.46220 + 20.9831i 0.225066 + 0.864595i
\(590\) 28.5684 + 2.24863i 1.17614 + 0.0925745i
\(591\) −5.98423 33.9383i −0.246158 1.39603i
\(592\) −8.07373 + 15.8953i −0.331828 + 0.653294i
\(593\) 0.991493 + 2.72410i 0.0407157 + 0.111866i 0.958384 0.285481i \(-0.0921533\pi\)
−0.917669 + 0.397347i \(0.869931\pi\)
\(594\) −42.7379 71.7842i −1.75356 2.94534i
\(595\) −3.61977 + 39.2536i −0.148396 + 1.60924i
\(596\) −16.0860 5.37096i −0.658906 0.220003i
\(597\) 16.1024 + 27.8903i 0.659029 + 1.14147i
\(598\) 0.798563 0.688527i 0.0326557 0.0281560i
\(599\) −5.81693 + 32.9894i −0.237673 + 1.34791i 0.599237 + 0.800572i \(0.295471\pi\)
−0.836910 + 0.547340i \(0.815640\pi\)
\(600\) 43.3742 + 14.2883i 1.77075 + 0.583316i
\(601\) 33.7143 + 19.4649i 1.37523 + 0.793991i 0.991581 0.129486i \(-0.0413329\pi\)
0.383652 + 0.923478i \(0.374666\pi\)
\(602\) −6.12887 32.2260i −0.249794 1.31343i
\(603\) −10.6192 + 29.1759i −0.432446 + 1.18813i
\(604\) 6.68211 + 10.8887i 0.271891 + 0.443056i
\(605\) −3.57641 + 13.1013i −0.145402 + 0.532646i
\(606\) 8.62422 + 4.82621i 0.350335 + 0.196051i
\(607\) 24.9302i 1.01189i 0.862567 + 0.505943i \(0.168855\pi\)
−0.862567 + 0.505943i \(0.831145\pi\)
\(608\) −24.1568 4.94473i −0.979687 0.200535i
\(609\) 19.7326 0.799604
\(610\) −2.56664 26.6579i −0.103920 1.07935i
\(611\) 1.67138 1.40246i 0.0676169 0.0567373i
\(612\) −79.1957 + 48.6002i −3.20130 + 1.96455i
\(613\) 6.75447 18.5578i 0.272811 0.749541i −0.725319 0.688413i \(-0.758308\pi\)
0.998130 0.0611284i \(-0.0194699\pi\)
\(614\) −26.1156 + 4.96676i −1.05394 + 0.200442i
\(615\) −2.76462 33.4027i −0.111480 1.34693i
\(616\) 1.32441 + 32.9117i 0.0533619 + 1.32605i
\(617\) −41.8944 7.38712i −1.68661 0.297394i −0.753621 0.657309i \(-0.771695\pi\)
−0.932985 + 0.359915i \(0.882806\pi\)
\(618\) −59.7845 + 51.5466i −2.40489 + 2.07351i
\(619\) −27.0956 + 15.6436i −1.08906 + 0.628771i −0.933327 0.359027i \(-0.883108\pi\)
−0.155737 + 0.987799i \(0.549775\pi\)
\(620\) −21.3551 + 6.23157i −0.857640 + 0.250266i
\(621\) −12.1282 + 14.4539i −0.486689 + 0.580013i
\(622\) −27.5493 + 16.4019i −1.10463 + 0.657657i
\(623\) 8.45239 + 23.2228i 0.338638 + 0.930400i
\(624\) 6.50590 + 3.30455i 0.260445 + 0.132288i
\(625\) 12.9038 21.4124i 0.516152 0.856497i
\(626\) 7.81623 9.57277i 0.312399 0.382605i
\(627\) 52.8851 24.2027i 2.11203 0.966563i
\(628\) 6.57628 1.34230i 0.262422 0.0535634i
\(629\) −27.4561 + 4.84124i −1.09474 + 0.193033i
\(630\) −53.8915 + 38.4397i −2.14709 + 1.53148i
\(631\) 13.7069 + 37.6593i 0.545662 + 1.49919i 0.839511 + 0.543342i \(0.182841\pi\)
−0.293849 + 0.955852i \(0.594936\pi\)
\(632\) 18.0397 16.4174i 0.717582 0.653051i
\(633\) 38.9979 46.4759i 1.55003 1.84725i
\(634\) −31.2660 + 11.8569i −1.24173 + 0.470899i
\(635\) −9.15315 + 19.3911i −0.363232 + 0.769513i
\(636\) 1.34331 + 50.0871i 0.0532658 + 1.98608i
\(637\) −0.0925183 + 0.524697i −0.00366571 + 0.0207893i
\(638\) 2.03265 12.5059i 0.0804734 0.495113i
\(639\) 17.2482 29.8748i 0.682330 1.18183i
\(640\) 4.34587 24.9221i 0.171786 0.985134i
\(641\) 13.6249 37.4341i 0.538151 1.47856i −0.311002 0.950409i \(-0.600665\pi\)
0.849153 0.528147i \(-0.177113\pi\)
\(642\) 19.0567 + 6.64812i 0.752107 + 0.262381i
\(643\) 6.77769 5.68716i 0.267286 0.224280i −0.499287 0.866437i \(-0.666405\pi\)
0.766573 + 0.642157i \(0.221960\pi\)
\(644\) 6.91972 2.73081i 0.272675 0.107609i
\(645\) −33.8574 48.8392i −1.33313 1.92304i
\(646\) −16.5147 34.8438i −0.649760 1.37091i
\(647\) 6.09219 0.239509 0.119754 0.992804i \(-0.461789\pi\)
0.119754 + 0.992804i \(0.461789\pi\)
\(648\) −64.3578 20.5337i −2.52821 0.806641i
\(649\) 24.0689 + 28.6842i 0.944786 + 1.12595i
\(650\) 2.55539 3.07044i 0.100231 0.120433i
\(651\) 15.4834 42.5402i 0.606842 1.66728i
\(652\) −4.61718 + 8.51664i −0.180823 + 0.333537i
\(653\) 23.5424 + 13.5922i 0.921285 + 0.531904i 0.884045 0.467402i \(-0.154810\pi\)
0.0372401 + 0.999306i \(0.488143\pi\)
\(654\) 13.0113 80.0523i 0.508783 3.13029i
\(655\) −28.6749 + 13.2080i −1.12042 + 0.516080i
\(656\) −18.0862 + 4.19967i −0.706149 + 0.163969i
\(657\) −2.44919 + 1.41404i −0.0955519 + 0.0551669i
\(658\) 14.3931 5.45827i 0.561102 0.212786i
\(659\) 10.8091 + 9.06994i 0.421064 + 0.353315i 0.828568 0.559889i \(-0.189156\pi\)
−0.407504 + 0.913204i \(0.633601\pi\)
\(660\) 26.4083 + 53.5092i 1.02794 + 2.08284i
\(661\) 5.32313 + 14.6252i 0.207046 + 0.568854i 0.999136 0.0415497i \(-0.0132295\pi\)
−0.792091 + 0.610404i \(0.791007\pi\)
\(662\) 13.1099 0.175770i 0.509533 0.00683148i
\(663\) 1.98151 + 11.2377i 0.0769553 + 0.436435i
\(664\) −2.21572 + 4.22111i −0.0859866 + 0.163811i
\(665\) −13.4527 23.9504i −0.521672 0.928756i
\(666\) −36.2638 29.6096i −1.40519 1.14735i
\(667\) −2.81803 + 0.496895i −0.109115 + 0.0192399i
\(668\) −15.4527 + 19.4520i −0.597884 + 0.752620i
\(669\) −31.7577 + 11.5589i −1.22782 + 0.446892i
\(670\) 5.48197 12.0288i 0.211787 0.464714i
\(671\) 22.4936 26.8068i 0.868354 1.03486i
\(672\) 35.6595 + 37.1326i 1.37560 + 1.43242i
\(673\) −9.68692 16.7782i −0.373403 0.646753i 0.616683 0.787211i \(-0.288476\pi\)
−0.990087 + 0.140458i \(0.955143\pi\)
\(674\) 29.5605 25.4873i 1.13863 0.981734i
\(675\) −36.3207 + 61.5687i −1.39798 + 2.36978i
\(676\) −18.9841 + 16.8172i −0.730159 + 0.646815i
\(677\) 6.60184 11.4347i 0.253729 0.439472i −0.710820 0.703374i \(-0.751676\pi\)
0.964550 + 0.263902i \(0.0850095\pi\)
\(678\) 25.0551 4.76508i 0.962236 0.183002i
\(679\) 0.844098 + 0.307227i 0.0323935 + 0.0117903i
\(680\) 35.2380 17.9824i 1.35131 0.689592i
\(681\) 31.0380 26.0440i 1.18938 0.998007i
\(682\) −25.3658 14.1950i −0.971305 0.543553i
\(683\) 22.4030i 0.857226i 0.903488 + 0.428613i \(0.140998\pi\)
−0.903488 + 0.428613i \(0.859002\pi\)
\(684\) 26.2049 59.2109i 1.00197 2.26399i
\(685\) −4.12705 5.95326i −0.157687 0.227462i
\(686\) 11.7893 21.0669i 0.450117 0.804338i
\(687\) −47.5769 56.6999i −1.81517 2.16324i
\(688\) −24.0484 + 22.4825i −0.916837 + 0.857137i
\(689\) 4.11860 + 1.49905i 0.156906 + 0.0571092i
\(690\) 9.44598 9.61214i 0.359602 0.365928i
\(691\) −28.3927 16.3925i −1.08011 0.623601i −0.149182 0.988810i \(-0.547664\pi\)
−0.930925 + 0.365209i \(0.880997\pi\)
\(692\) 6.37840 5.65034i 0.242470 0.214794i
\(693\) −85.1813 15.0198i −3.23577 0.570553i
\(694\) 22.8703 19.7189i 0.868145 0.748521i
\(695\) 7.40655 15.6909i 0.280946 0.595190i
\(696\) −10.5831 16.7380i −0.401153 0.634453i
\(697\) −22.2425 18.6637i −0.842495 0.706937i
\(698\) −8.42149 14.1451i −0.318758 0.535398i
\(699\) 85.3221 31.0547i 3.22718 1.17460i
\(700\) 24.1582 14.5152i 0.913095 0.548622i
\(701\) −3.54608 20.1108i −0.133933 0.759575i −0.975596 0.219571i \(-0.929534\pi\)
0.841663 0.540003i \(-0.181577\pi\)
\(702\) −7.22409 + 8.84756i −0.272656 + 0.333930i
\(703\) 13.8353 13.6392i 0.521808 0.514412i
\(704\) 27.2068 18.7749i 1.02539 0.707605i
\(705\) 19.8110 19.6261i 0.746126 0.739163i
\(706\) −0.624979 46.6147i −0.0235214 1.75437i
\(707\) 5.73136 2.08604i 0.215550 0.0784537i
\(708\) 57.8881 + 8.61397i 2.17557 + 0.323733i
\(709\) 8.47781 + 7.11373i 0.318391 + 0.267162i 0.787950 0.615739i \(-0.211143\pi\)
−0.469559 + 0.882901i \(0.655587\pi\)
\(710\) −8.31901 + 12.1040i −0.312207 + 0.454256i
\(711\) 32.0263 + 55.4712i 1.20108 + 2.08033i
\(712\) 15.1653 19.6247i 0.568343 0.735467i
\(713\) −1.13997 + 6.46512i −0.0426924 + 0.242121i
\(714\) −12.9158 + 79.4646i −0.483362 + 2.97389i
\(715\) 5.20191 0.430543i 0.194540 0.0161014i
\(716\) −8.68432 + 16.0187i −0.324548 + 0.598647i
\(717\) −3.53391 1.28624i −0.131976 0.0480355i
\(718\) −4.90021 + 14.0463i −0.182874 + 0.524205i
\(719\) 19.8480 + 23.6539i 0.740204 + 0.882141i 0.996425 0.0844771i \(-0.0269220\pi\)
−0.256221 + 0.966618i \(0.582478\pi\)
\(720\) 61.5097 + 25.0967i 2.29233 + 0.935300i
\(721\) 48.7169i 1.81431i
\(722\) 23.2585 + 13.4552i 0.865591 + 0.500752i
\(723\) 24.6988 0.918557
\(724\) −4.37502 11.0861i −0.162596 0.412010i
\(725\) −10.2216 + 3.61217i −0.379619 + 0.134153i
\(726\) −9.13595 + 26.1880i −0.339067 + 0.971927i
\(727\) 14.8942 + 5.42105i 0.552396 + 0.201056i 0.603111 0.797657i \(-0.293928\pi\)
−0.0507146 + 0.998713i \(0.516150\pi\)
\(728\) 4.16645 1.70916i 0.154419 0.0633456i
\(729\) 19.4486 33.6860i 0.720320 1.24763i
\(730\) 1.08679 0.518360i 0.0402238 0.0191854i
\(731\) −50.6993 8.93965i −1.87518 0.330645i
\(732\) −1.46637 54.6753i −0.0541984 2.02086i
\(733\) −32.0492 + 18.5036i −1.18377 + 0.683448i −0.956883 0.290474i \(-0.906187\pi\)
−0.226883 + 0.973922i \(0.572854\pi\)
\(734\) −9.53661 + 3.61655i −0.352003 + 0.133489i
\(735\) −0.625307 + 6.78098i −0.0230648 + 0.250120i
\(736\) −6.02763 4.40499i −0.222181 0.162370i
\(737\) 16.2311 5.90765i 0.597881 0.217611i
\(738\) −0.653652 48.7533i −0.0240613 1.79463i
\(739\) −3.25888 + 0.574628i −0.119880 + 0.0211380i −0.233266 0.972413i \(-0.574941\pi\)
0.113386 + 0.993551i \(0.463830\pi\)
\(740\) 14.4028 + 13.7792i 0.529458 + 0.506534i
\(741\) −5.58248 5.66274i −0.205077 0.208026i
\(742\) 23.9523 + 19.5572i 0.879318 + 0.717969i
\(743\) 20.5822 3.62919i 0.755087 0.133142i 0.217163 0.976135i \(-0.430320\pi\)
0.537924 + 0.842993i \(0.319209\pi\)
\(744\) −44.3886 + 9.68187i −1.62737 + 0.354954i
\(745\) −10.9481 + 15.4805i −0.401107 + 0.567162i
\(746\) 10.7939 + 18.1299i 0.395194 + 0.663783i
\(747\) −9.58999 8.04696i −0.350880 0.294423i
\(748\) 49.0318 + 16.3713i 1.79278 + 0.598594i
\(749\) 10.7872 6.22800i 0.394156 0.227566i
\(750\) 29.3128 41.8044i 1.07035 1.52648i
\(751\) 8.00706 45.4103i 0.292182 1.65705i −0.386259 0.922390i \(-0.626233\pi\)
0.678441 0.734655i \(-0.262656\pi\)
\(752\) −12.3494 9.28143i −0.450335 0.338459i
\(753\) −8.61203 + 14.9165i −0.313840 + 0.543586i
\(754\) −1.70176 + 0.323648i −0.0619746 + 0.0117866i
\(755\) 13.8140 3.63212i 0.502743 0.132186i
\(756\) −68.6844 + 42.1497i −2.49803 + 1.53297i
\(757\) 17.9676 + 21.4130i 0.653045 + 0.778269i 0.986370 0.164543i \(-0.0526149\pi\)
−0.333325 + 0.942812i \(0.608170\pi\)
\(758\) −1.39716 + 2.49666i −0.0507470 + 0.0906827i
\(759\) 17.6093 0.639178
\(760\) −13.1007 + 24.2564i −0.475212 + 0.879871i
\(761\) 22.3932 0.811753 0.405877 0.913928i \(-0.366966\pi\)
0.405877 + 0.913928i \(0.366966\pi\)
\(762\) −21.3859 + 38.2156i −0.774729 + 1.38441i
\(763\) −32.1733 38.3426i −1.16475 1.38810i
\(764\) −23.0857 + 14.1671i −0.835212 + 0.512546i
\(765\) 26.4171 + 100.472i 0.955111 + 3.63256i
\(766\) −25.7613 + 4.89939i −0.930794 + 0.177022i
\(767\) 2.55974 4.43361i 0.0924270 0.160088i
\(768\) 12.3722 50.1631i 0.446444 1.81011i