Properties

Label 380.2.bb.a.59.18
Level $380$
Weight $2$
Character 380.59
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 59.18
Character \(\chi\) \(=\) 380.59
Dual form 380.2.bb.a.219.18

$q$-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 \(\left(\mathbb{Z}/380\mathbb{Z}\right)^\times\).

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

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 0.321875 0.946782i \(-0.395687\pi\)
0.876505 0.481392i \(-0.159869\pi\)
\(4\) −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 −0.999275 0.0380831i \(-0.987875\pi\)
0.466656 0.884439i \(-0.345458\pi\)
\(8\) 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 0.930609 0.366015i \(-0.119278\pi\)
0.148326 + 0.988938i \(0.452611\pi\)
\(12\) 2.04537 + 6.12585i 0.590447 + 1.76838i
\(13\) −0.432766 + 0.363134i −0.120028 + 0.100715i −0.700826 0.713332i \(-0.747185\pi\)
0.580798 + 0.814048i \(0.302741\pi\)
\(14\) −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 −0.633873 0.773437i \(-0.718536\pi\)
−0.860177 + 0.509996i \(0.829647\pi\)
\(18\) −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 0.468063 0.883695i \(-0.344952\pi\)
−0.209471 + 0.977815i \(0.567174\pi\)
\(24\) 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 −0.368348 0.929688i \(-0.620076\pi\)
−0.0281615 + 0.999603i \(0.508965\pi\)
\(30\) 9.21675 + 4.39607i 1.68274 + 0.802609i
\(31\) −2.48715 4.30786i −0.446705 0.773715i 0.551465 0.834198i \(-0.314069\pi\)
−0.998169 + 0.0604832i \(0.980736\pi\)
\(32\) −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 −0.480961 0.876742i \(-0.659712\pi\)
0.946940 + 0.321409i \(0.104156\pi\)
\(42\) 4.23946 + 12.1523i 0.654163 + 1.87514i
\(43\) 7.73389 2.81491i 1.17941 0.429269i 0.323415 0.946257i \(-0.395169\pi\)
0.855993 + 0.516988i \(0.172947\pi\)
\(44\) −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 −0.993845 0.110775i \(-0.964667\pi\)
0.896022 0.444010i \(-0.146445\pi\)
\(48\) −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 −0.211283 0.977425i \(-0.567764\pi\)
−0.790129 + 0.612941i \(0.789986\pi\)
\(54\) −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 −0.692783 0.721147i \(-0.743615\pi\)
0.897649 0.440711i \(-0.145273\pi\)
\(60\) −0.940059 14.4106i −0.121361 1.86039i
\(61\) 7.95821 + 2.89655i 1.01894 + 0.370865i 0.796861 0.604162i \(-0.206492\pi\)
0.222083 + 0.975028i \(0.428714\pi\)
\(62\) −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 0.0835784 0.996501i \(-0.473365\pi\)
0.419361 + 0.907819i \(0.362254\pi\)
\(68\) 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 −0.587754 0.809040i \(-0.699988\pi\)
0.0697952 + 0.997561i \(0.477765\pi\)
\(72\) −2.81316 20.8186i −0.331534 2.45350i
\(73\) 0.244750 0.291682i 0.0286458 0.0341387i −0.751531 0.659697i \(-0.770684\pi\)
0.780177 + 0.625559i \(0.215129\pi\)
\(74\) −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 0.933711 0.358027i \(-0.116551\pi\)
−0.190451 + 0.981697i \(0.560995\pi\)
\(80\) 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 0.816060 0.577967i \(-0.196154\pi\)
−0.908564 + 0.417746i \(0.862820\pi\)
\(84\) 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 0.977020 0.213145i \(-0.0683708\pi\)
−0.379565 + 0.925165i \(0.623926\pi\)
\(90\) 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 −0.987489 0.157691i \(-0.949595\pi\)
0.981869 + 0.189560i \(0.0607062\pi\)
\(98\) 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 −0.721529 0.692384i \(-0.756561\pi\)
0.556573 + 0.830799i \(0.312116\pi\)
\(102\) 26.7093 + 10.1289i 2.64462 + 1.00291i
\(103\) 14.9698 + 8.64280i 1.47501 + 0.851600i 0.999603 0.0281636i \(-0.00896592\pi\)
0.475411 + 0.879764i \(0.342299\pi\)
\(104\) −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 −0.673466 0.739218i \(-0.735195\pi\)
0.303449 + 0.952848i \(0.401862\pi\)
\(108\) 25.1370 13.6277i 2.41881 1.31132i
\(109\) −6.07414 16.6886i −0.581797 1.59847i −0.785107 0.619360i \(-0.787392\pi\)
0.203310 0.979114i \(-0.434830\pi\)
\(110\) −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 0.966735 0.255780i \(-0.0823322\pi\)
−0.419766 + 0.907633i \(0.637888\pi\)
\(128\) −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 0.744097 0.668072i \(-0.232880\pi\)
0.470728 + 0.882278i \(0.343991\pi\)
\(132\) −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 −0.883320 0.468771i \(-0.844697\pi\)
0.977982 + 0.208688i \(0.0669192\pi\)
\(138\) −5.17861 3.08317i −0.440833 0.262457i
\(139\) −4.98781 5.94424i −0.423061 0.504184i 0.511846 0.859077i \(-0.328962\pi\)
−0.934907 + 0.354893i \(0.884517\pi\)
\(140\) −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 0.868841 0.495091i \(-0.164865\pi\)
−0.336697 + 0.941613i \(0.609310\pi\)
\(150\) −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 0.885426 0.464780i \(-0.153866\pi\)
−0.977031 + 0.213099i \(0.931644\pi\)
\(158\) 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 −0.945150 0.326636i \(-0.894085\pi\)
0.755450 + 0.655206i \(0.227418\pi\)
\(164\) 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 0.659680 + 0.751547i \(0.270692\pi\)
−0.988429 + 0.151684i \(0.951530\pi\)
\(168\) −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 −0.943681 0.330858i \(-0.892662\pi\)
0.999930 + 0.0118530i \(0.00377301\pi\)
\(174\) 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 −0.984522 0.175260i \(-0.943923\pi\)
0.644041 + 0.764991i \(0.277257\pi\)
\(180\) −26.7811 19.6494i −1.99614 1.46458i
\(181\) 5.86853 1.03478i 0.436204 0.0769145i 0.0487659 0.998810i \(-0.484471\pi\)
0.387438 + 0.921896i \(0.373360\pi\)
\(182\) −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 \(0.162992\pi\)
−0.871739 + 0.489970i \(0.837008\pi\)
\(192\) 18.1417 18.3911i 1.30926 1.32726i
\(193\) 4.43606 + 3.72230i 0.319315 + 0.267937i 0.788329 0.615254i \(-0.210946\pi\)
−0.469015 + 0.883190i \(0.655391\pi\)
\(194\) 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 −0.791701 0.610909i \(-0.790804\pi\)
0.133213 + 0.991087i \(0.457471\pi\)
\(198\) −42.8401 + 6.96303i −3.04451 + 0.494841i
\(199\) 9.82167 1.73183i 0.696240 0.122766i 0.185683 0.982610i \(-0.440550\pi\)
0.510557 + 0.859844i \(0.329439\pi\)
\(200\) 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 0.638841 + 0.769339i \(0.279414\pi\)
−0.863444 + 0.504445i \(0.831697\pi\)
\(212\) 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 −0.999960 0.00895738i \(-0.997149\pi\)
0.760256 0.649624i \(-0.225073\pi\)
\(224\) 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 \(0.136708\pi\)
−0.909182 + 0.416398i \(0.863292\pi\)
\(228\) −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 0.680988 + 0.732294i \(0.261551\pi\)
−0.0509574 + 0.998701i \(0.516227\pi\)
\(234\) 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 0.467025 0.884244i \(-0.345326\pi\)
−0.532265 + 0.846578i \(0.678659\pi\)
\(240\) 25.5479 + 13.4721i 1.64911 + 0.869621i
\(241\) 4.91649 + 5.85924i 0.316699 + 0.377427i 0.900785 0.434264i \(-0.142992\pi\)
−0.584087 + 0.811691i \(0.698547\pi\)
\(242\) 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 −0.868708 0.495325i \(-0.835049\pi\)
0.983857 + 0.178954i \(0.0572713\pi\)
\(252\) −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 0.997407 0.0719651i \(-0.0229270\pi\)
−0.961870 + 0.273508i \(0.911816\pi\)
\(258\) −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 0.866319 0.499492i \(-0.166480\pi\)
−0.341469 + 0.939893i \(0.610924\pi\)
\(264\) 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 −0.981782 0.190011i \(-0.939148\pi\)
0.357609 + 0.933871i \(0.383592\pi\)
\(270\) 12.0815 43.5660i 0.735258 2.65134i
\(271\) 9.24854 + 25.4102i 0.561809 + 1.54356i 0.816982 + 0.576662i \(0.195645\pi\)
−0.255173 + 0.966895i \(0.582133\pi\)
\(272\) 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 0.996134 + 0.0878440i \(0.0279977\pi\)
0.574142 + 0.818756i \(0.305336\pi\)
\(278\) −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 −0.458859 0.888509i \(-0.651742\pi\)
0.922629 0.385688i \(-0.126036\pi\)
\(282\) −0.236444 + 17.6354i −0.0140801 + 1.05018i
\(283\) 1.45601 8.25746i 0.0865510 0.490855i −0.910460 0.413597i \(-0.864272\pi\)
0.997011 0.0772584i \(-0.0246166\pi\)
\(284\) 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 −0.232548 0.972585i \(-0.574706\pi\)
0.958557 0.284900i \(-0.0919603\pi\)
\(294\) 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 −0.301706 0.953401i \(-0.597556\pi\)
0.991307 + 0.131566i \(0.0420004\pi\)
\(308\) 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 0.173650 0.984807i \(-0.444444\pi\)
0.939693 + 0.342019i \(0.111111\pi\)
\(312\) −0.207469 + 5.15562i −0.0117456 + 0.291879i
\(313\) −8.60598 + 1.51747i −0.486439 + 0.0857723i −0.411489 0.911415i \(-0.634991\pi\)
−0.0749505 + 0.997187i \(0.523880\pi\)
\(314\) −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 0.0280342 0.999607i \(-0.491075\pi\)
0.989289 + 0.145972i \(0.0466308\pi\)
\(318\) 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 −0.964838 0.262844i \(-0.915339\pi\)
0.710049 + 0.704152i \(0.248673\pi\)
\(332\) 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 −0.931937 0.362620i \(-0.881882\pi\)
−0.480817 + 0.876821i \(0.659660\pi\)
\(338\) 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 −0.818847 0.574012i \(-0.805386\pi\)
−0.258305 + 0.966063i \(0.583164\pi\)
\(348\) −6.67382 12.3102i −0.357755 0.659898i
\(349\) −5.82027 10.0810i −0.311552 0.539624i 0.667147 0.744926i \(-0.267515\pi\)
−0.978699 + 0.205303i \(0.934182\pi\)
\(350\) −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 −0.999737 0.0229297i \(-0.992701\pi\)
−0.519726 0.854333i \(-0.673966\pi\)
\(354\) −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 0.440200 0.897900i \(-0.354907\pi\)
0.106553 + 0.994307i \(0.466019\pi\)
\(360\) −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 −0.487103 0.873344i \(-0.661946\pi\)
0.775492 + 0.631358i \(0.217502\pi\)
\(368\) −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 0.991943 0.126684i \(-0.0404335\pi\)
−0.605683 + 0.795706i \(0.707100\pi\)
\(374\) −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 −0.370115 0.928986i \(-0.620682\pi\)
0.979142 + 0.203176i \(0.0651262\pi\)
\(384\) −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 0.998650 + 0.0519429i \(0.0165414\pi\)
−0.920659 + 0.390369i \(0.872348\pi\)
\(390\) −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 −0.123382 0.992359i \(-0.539374\pi\)
−0.455348 + 0.890314i \(0.650485\pi\)
\(398\) −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 0.943580 0.331144i \(-0.107435\pi\)
0.773417 + 0.633897i \(0.218546\pi\)
\(402\) −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 −0.237205 0.971460i \(-0.576231\pi\)
0.109359 + 0.994002i \(0.465120\pi\)
\(410\) 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 \(-0.971005\pi\)
0.995854 0.0909645i \(-0.0289950\pi\)
\(420\) −33.8481 + 22.6015i −1.65162 + 1.10284i
\(421\) 18.6137 22.1829i 0.907176 1.08113i −0.0891946 0.996014i \(-0.528429\pi\)
0.996371 0.0851165i \(-0.0271262\pi\)
\(422\) 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 −0.362023 0.932169i \(-0.617914\pi\)
0.855143 + 0.518392i \(0.173469\pi\)
\(432\) −3.06524 + 57.1046i −0.147476 + 2.74745i
\(433\) −24.4274 8.89084i −1.17391 0.427267i −0.319860 0.947465i \(-0.603636\pi\)
−0.854046 + 0.520198i \(0.825858\pi\)
\(434\) 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 −0.868883 0.495018i \(-0.835162\pi\)
0.985789 0.167989i \(-0.0537273\pi\)
\(440\) −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 −0.793585 0.608459i \(-0.791788\pi\)
0.461411 + 0.887187i \(0.347343\pi\)
\(444\) 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 −0.500998 + 0.865449i \(0.667034\pi\)
−0.999999 + 0.00115263i \(0.999633\pi\)
\(450\) −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 \(-0.677650\pi\)
0.529580 0.848260i \(-0.322350\pi\)
\(458\) 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 −0.514892 0.857255i \(-0.672168\pi\)
0.156602 + 0.987662i \(0.449946\pi\)
\(462\) −9.93613 + 52.2449i −0.462271 + 2.43065i
\(463\) 12.7076 + 22.0102i 0.590572 + 1.02290i 0.994156 + 0.107958i \(0.0344311\pi\)
−0.403584 + 0.914943i \(0.632236\pi\)
\(464\) 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 0.423416 + 0.905936i \(0.360831\pi\)
−0.996271 + 0.0862791i \(0.972502\pi\)
\(468\) −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 0.675741 + 0.737139i \(0.263824\pi\)
−0.991472 + 0.130323i \(0.958399\pi\)
\(480\) −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 −0.219842 0.975535i \(-0.570554\pi\)
0.734917 + 0.678157i \(0.237221\pi\)
\(488\) 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 −0.676059 0.736848i \(-0.736313\pi\)
0.843050 + 0.537836i \(0.180758\pi\)
\(492\) 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 −0.883801 0.467863i \(-0.845024\pi\)
0.376295 0.926500i \(-0.377198\pi\)
\(500\) 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 0.933472 + 0.358651i \(0.116763\pi\)
−0.754510 + 0.656288i \(0.772126\pi\)
\(504\) −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 0.692747 + 0.721181i \(0.256400\pi\)
−0.994241 + 0.107167i \(0.965822\pi\)
\(510\) −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 −0.254340 0.967115i \(-0.581858\pi\)
−0.964716 + 0.263292i \(0.915192\pi\)
\(522\) 14.8719 17.2486i 0.650923 0.754950i
\(523\) 16.4500 2.90057i 0.719307 0.126833i 0.197999 0.980202i \(-0.436556\pi\)
0.521308 + 0.853369i \(0.325444\pi\)
\(524\) −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 0.731691 + 0.681637i \(0.238732\pi\)
−0.454431 + 0.890782i \(0.650157\pi\)
\(542\) 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 −0.00242311 + 0.999997i \(0.500771\pi\)
−0.640930 + 0.767600i \(0.721451\pi\)
\(548\) 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 0.942511 0.334174i \(-0.108457\pi\)
−0.492762 + 0.870164i \(0.664013\pi\)
\(558\) 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 −0.640281 0.768141i \(-0.721182\pi\)
0.345089 + 0.938570i \(0.387849\pi\)
\(564\) 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 \(-0.794683\pi\)
0.799086 0.601217i \(-0.205317\pi\)
\(570\) 15.1574 + 41.8504i 0.634875 + 1.75292i
\(571\) 38.2969i 1.60268i −0.598212 0.801338i \(-0.704122\pi\)
0.598212 0.801338i \(-0.295878\pi\)
\(572\) 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 −0.523569 + 0.851983i \(0.675400\pi\)
−0.999624 + 0.0274329i \(0.991267\pi\)
\(578\) −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 −0.716321 0.697770i \(-0.754176\pi\)
0.911774 0.410693i \(-0.134713\pi\)
\(588\) −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 −0.917669 0.397347i \(-0.869931\pi\)
0.958384 + 0.285481i \(0.0921533\pi\)
\(594\) −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 −0.836910 0.547340i \(-0.815640\pi\)
0.599237 0.800572i \(-0.295471\pi\)
\(600\) 43.3742 14.2883i 1.77075 0.583316i
\(601\) 33.7143 19.4649i 1.37523 0.793991i 0.383652 0.923478i \(-0.374666\pi\)
0.991581 + 0.129486i \(0.0413329\pi\)
\(602\) −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 \(-0.831145\pi\)
0.862567 0.505943i \(-0.168855\pi\)
\(608\) −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 0.998130 + 0.0611284i \(0.0194699\pi\)
−0.725319 + 0.688413i \(0.758308\pi\)
\(614\) −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 −0.932985 0.359915i \(-0.882806\pi\)
−0.753621 + 0.657309i \(0.771695\pi\)
\(618\) −59.7845 51.5466i −2.40489 2.07351i
\(619\) −27.0956 15.6436i −1.08906 0.628771i −0.155737 0.987799i \(-0.549775\pi\)
−0.933327 + 0.359027i \(0.883108\pi\)
\(620\) −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 −0.293849 0.955852i \(-0.594936\pi\)
0.839511 0.543342i \(-0.182841\pi\)
\(632\) 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 0.849153 + 0.528147i \(0.177113\pi\)
−0.311002 + 0.950409i \(0.600665\pi\)
\(642\) 19.0567 6.64812i 0.752107 0.262381i
\(643\) 6.77769 + 5.68716i 0.267286 + 0.224280i 0.766573 0.642157i \(-0.221960\pi\)
−0.499287 + 0.866437i \(0.666405\pi\)
\(644\) 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 0.0372401 0.999306i \(-0.488143\pi\)
0.884045 + 0.467402i \(0.154810\pi\)
\(654\) 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 −0.407504 0.913204i \(-0.633601\pi\)
0.828568 + 0.559889i \(0.189156\pi\)
\(660\) 26.4083 53.5092i 1.02794 2.08284i
\(661\) 5.32313 14.6252i 0.207046 0.568854i −0.792091 0.610404i \(-0.791007\pi\)
0.999136 + 0.0415497i \(0.0132295\pi\)
\(662\) 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 −0.990087 0.140458i \(-0.955143\pi\)
0.616683 + 0.787211i \(0.288476\pi\)
\(674\) 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 0.964550 0.263902i \(-0.0850095\pi\)
−0.710820 + 0.703374i \(0.751676\pi\)
\(678\) 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 \(-0.859002\pi\)
0.903488 0.428613i \(-0.140998\pi\)
\(684\) 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 −0.930925 0.365209i \(-0.880997\pi\)
−0.149182 + 0.988810i \(0.547664\pi\)
\(692\) 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 0.841663 + 0.540003i \(0.181577\pi\)
−0.975596 + 0.219571i \(0.929534\pi\)
\(702\) −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 −0.469559 0.882901i \(-0.655587\pi\)
0.787950 + 0.615739i \(0.211143\pi\)
\(710\) −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 −0.256221 0.966618i \(-0.582478\pi\)
0.996425 + 0.0844771i \(0.0269220\pi\)
\(720\) 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 −0.0507146 0.998713i \(-0.516150\pi\)
0.603111 + 0.797657i \(0.293928\pi\)
\(728\) 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 −0.226883 0.973922i \(-0.572854\pi\)
−0.956883 + 0.290474i \(0.906187\pi\)
\(734\) −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 0.113386 0.993551i \(-0.463830\pi\)
−0.233266 + 0.972413i \(0.574941\pi\)
\(740\) 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 0.537924 0.842993i \(-0.319209\pi\)
0.217163 + 0.976135i \(0.430320\pi\)
\(744\) −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 0.678441 + 0.734655i \(0.262656\pi\)
−0.386259 + 0.922390i \(0.626233\pi\)
\(752\) −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 −0.333325 0.942812i \(-0.608170\pi\)
0.986370 + 0.164543i \(0.0526149\pi\)
\(758\) −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