Properties

Label 378.2.z.a.83.11
Level $378$
Weight $2$
Character 378.83
Analytic conductor $3.018$
Analytic rank $0$
Dimension $144$
Inner twists $4$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [378,2,Mod(41,378)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(378, base_ring=CyclotomicField(18))
 
chi = DirichletCharacter(H, H._module([17, 9]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("378.41");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 378 = 2 \cdot 3^{3} \cdot 7 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 378.z (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: \(3.01834519640\)
Analytic rank: \(0\)
Dimension: \(144\)
Relative dimension: \(24\) over \(\Q(\zeta_{18})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label 83.11
Character \(\chi\) \(=\) 378.83
Dual form 378.2.z.a.41.11

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-0.984808 - 0.173648i) q^{2} +(1.56441 - 0.743380i) q^{3} +(0.939693 + 0.342020i) q^{4} +(0.941136 - 0.789707i) q^{5} +(-1.66973 + 0.460429i) q^{6} +(2.22826 - 1.42648i) q^{7} +(-0.866025 - 0.500000i) q^{8} +(1.89477 - 2.32590i) q^{9} +O(q^{10})\) \(q+(-0.984808 - 0.173648i) q^{2} +(1.56441 - 0.743380i) q^{3} +(0.939693 + 0.342020i) q^{4} +(0.941136 - 0.789707i) q^{5} +(-1.66973 + 0.460429i) q^{6} +(2.22826 - 1.42648i) q^{7} +(-0.866025 - 0.500000i) q^{8} +(1.89477 - 2.32590i) q^{9} +(-1.06397 + 0.614283i) q^{10} +(-1.50712 + 1.79612i) q^{11} +(1.72432 - 0.163488i) q^{12} +(-0.429778 + 0.0757815i) q^{13} +(-2.44212 + 1.01787i) q^{14} +(0.885273 - 1.93505i) q^{15} +(0.766044 + 0.642788i) q^{16} +(-1.74272 - 3.01848i) q^{17} +(-2.26988 + 1.96155i) q^{18} +(1.97392 + 1.13964i) q^{19} +(1.15447 - 0.420194i) q^{20} +(2.42551 - 3.88805i) q^{21} +(1.79612 - 1.50712i) q^{22} +(-1.85030 + 5.08367i) q^{23} +(-1.72651 - 0.138421i) q^{24} +(-0.606141 + 3.43760i) q^{25} +0.436408 q^{26} +(1.23518 - 5.04721i) q^{27} +(2.58177 - 0.578340i) q^{28} +(-2.08501 - 0.367644i) q^{29} +(-1.20784 + 1.75193i) q^{30} +(2.87174 - 7.89005i) q^{31} +(-0.642788 - 0.766044i) q^{32} +(-1.02256 + 3.93024i) q^{33} +(1.19209 + 3.27524i) q^{34} +(0.970599 - 3.10219i) q^{35} +(2.57601 - 1.53759i) q^{36} +(2.71169 + 4.69678i) q^{37} +(-1.74604 - 1.46510i) q^{38} +(-0.616016 + 0.438042i) q^{39} +(-1.20990 + 0.213338i) q^{40} +(-0.273818 - 1.55290i) q^{41} +(-3.06381 + 3.40779i) q^{42} +(-1.56927 - 1.31677i) q^{43} +(-2.03054 + 1.17233i) q^{44} +(-0.0535437 - 3.68531i) q^{45} +(2.70496 - 4.68513i) q^{46} +(-4.45922 + 1.62303i) q^{47} +(1.67624 + 0.436123i) q^{48} +(2.93032 - 6.35714i) q^{49} +(1.19386 - 3.28012i) q^{50} +(-4.97020 - 3.42664i) q^{51} +(-0.429778 - 0.0757815i) q^{52} +0.117957i q^{53} +(-2.09285 + 4.75605i) q^{54} +2.88058i q^{55} +(-2.64297 + 0.121235i) q^{56} +(3.93522 + 0.315500i) q^{57} +(1.98950 + 0.724117i) q^{58} +(9.22472 - 7.74046i) q^{59} +(1.49371 - 1.51557i) q^{60} +(3.82461 + 10.5080i) q^{61} +(-4.19821 + 7.27151i) q^{62} +(0.904201 - 7.88558i) q^{63} +(0.500000 + 0.866025i) q^{64} +(-0.344635 + 0.410720i) q^{65} +(1.68951 - 3.69296i) q^{66} +(1.46744 + 8.32229i) q^{67} +(-0.605240 - 3.43248i) q^{68} +(0.884457 + 9.32843i) q^{69} +(-1.49454 + 2.88651i) q^{70} +(-1.77135 + 1.02269i) q^{71} +(-2.80387 + 1.06691i) q^{72} +(-6.00651 - 3.46786i) q^{73} +(-1.85490 - 5.09631i) q^{74} +(1.60718 + 5.82841i) q^{75} +(1.46510 + 1.74604i) q^{76} +(-0.796142 + 6.15211i) q^{77} +(0.682723 - 0.324417i) q^{78} +(-0.916064 + 5.19526i) q^{79} +1.22857 q^{80} +(-1.81967 - 8.81413i) q^{81} +1.57686i q^{82} +(-1.50719 + 8.54769i) q^{83} +(3.60902 - 2.82400i) q^{84} +(-4.02385 - 1.46456i) q^{85} +(1.31677 + 1.56927i) q^{86} +(-3.53512 + 0.974809i) q^{87} +(2.20327 - 0.801923i) q^{88} +(-7.35317 + 12.7361i) q^{89} +(-0.587217 + 3.63862i) q^{90} +(-0.849559 + 0.781931i) q^{91} +(-3.47743 + 4.14424i) q^{92} +(-1.37271 - 14.4781i) q^{93} +(4.67331 - 0.824031i) q^{94} +(2.75771 - 0.486259i) q^{95} +(-1.57505 - 0.720574i) q^{96} +(-9.82215 + 11.7056i) q^{97} +(-3.98971 + 5.75172i) q^{98} +(1.32195 + 6.90866i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 144 q - 12 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 144 q - 12 q^{9} + 12 q^{11} + 6 q^{14} + 12 q^{15} + 24 q^{21} - 60 q^{23} + 12 q^{29} - 72 q^{30} + 54 q^{35} - 12 q^{36} + 48 q^{39} + 24 q^{42} + 18 q^{49} - 60 q^{50} - 36 q^{51} + 6 q^{56} - 60 q^{57} - 36 q^{60} - 78 q^{63} + 72 q^{64} - 120 q^{65} + 36 q^{70} - 72 q^{71} - 24 q^{72} - 36 q^{74} + 66 q^{77} - 60 q^{78} - 72 q^{79} + 12 q^{84} - 72 q^{85} - 48 q^{86} - 18 q^{91} + 12 q^{92} + 24 q^{93} - 120 q^{95} + 36 q^{98} + 144 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/378\mathbb{Z}\right)^\times\).

\(n\) \(29\) \(325\)
\(\chi(n)\) \(e\left(\frac{1}{18}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.984808 0.173648i −0.696364 0.122788i
\(3\) 1.56441 0.743380i 0.903214 0.429190i
\(4\) 0.939693 + 0.342020i 0.469846 + 0.171010i
\(5\) 0.941136 0.789707i 0.420889 0.353168i −0.407612 0.913155i \(-0.633638\pi\)
0.828501 + 0.559987i \(0.189194\pi\)
\(6\) −1.66973 + 0.460429i −0.681665 + 0.187969i
\(7\) 2.22826 1.42648i 0.842205 0.539158i
\(8\) −0.866025 0.500000i −0.306186 0.176777i
\(9\) 1.89477 2.32590i 0.631591 0.775302i
\(10\) −1.06397 + 0.614283i −0.336457 + 0.194253i
\(11\) −1.50712 + 1.79612i −0.454415 + 0.541550i −0.943800 0.330517i \(-0.892777\pi\)
0.489385 + 0.872068i \(0.337221\pi\)
\(12\) 1.72432 0.163488i 0.497768 0.0471949i
\(13\) −0.429778 + 0.0757815i −0.119199 + 0.0210180i −0.232929 0.972494i \(-0.574831\pi\)
0.113730 + 0.993512i \(0.463720\pi\)
\(14\) −2.44212 + 1.01787i −0.652683 + 0.272038i
\(15\) 0.885273 1.93505i 0.228577 0.499627i
\(16\) 0.766044 + 0.642788i 0.191511 + 0.160697i
\(17\) −1.74272 3.01848i −0.422671 0.732088i 0.573529 0.819186i \(-0.305574\pi\)
−0.996200 + 0.0870975i \(0.972241\pi\)
\(18\) −2.26988 + 1.96155i −0.535015 + 0.462341i
\(19\) 1.97392 + 1.13964i 0.452849 + 0.261452i 0.709032 0.705176i \(-0.249132\pi\)
−0.256184 + 0.966628i \(0.582465\pi\)
\(20\) 1.15447 0.420194i 0.258148 0.0939583i
\(21\) 2.42551 3.88805i 0.529289 0.848441i
\(22\) 1.79612 1.50712i 0.382934 0.321320i
\(23\) −1.85030 + 5.08367i −0.385815 + 1.06002i 0.583052 + 0.812435i \(0.301858\pi\)
−0.968867 + 0.247583i \(0.920364\pi\)
\(24\) −1.72651 0.138421i −0.352423 0.0282550i
\(25\) −0.606141 + 3.43760i −0.121228 + 0.687519i
\(26\) 0.436408 0.0855867
\(27\) 1.23518 5.04721i 0.237710 0.971336i
\(28\) 2.58177 0.578340i 0.487908 0.109296i
\(29\) −2.08501 0.367644i −0.387177 0.0682698i −0.0233285 0.999728i \(-0.507426\pi\)
−0.363849 + 0.931458i \(0.618537\pi\)
\(30\) −1.20784 + 1.75193i −0.220521 + 0.319856i
\(31\) 2.87174 7.89005i 0.515780 1.41709i −0.359348 0.933203i \(-0.617001\pi\)
0.875129 0.483891i \(-0.160777\pi\)
\(32\) −0.642788 0.766044i −0.113630 0.135419i
\(33\) −1.02256 + 3.93024i −0.178005 + 0.684166i
\(34\) 1.19209 + 3.27524i 0.204442 + 0.561699i
\(35\) 0.970599 3.10219i 0.164061 0.524365i
\(36\) 2.57601 1.53759i 0.429335 0.256264i
\(37\) 2.71169 + 4.69678i 0.445799 + 0.772146i 0.998107 0.0614933i \(-0.0195863\pi\)
−0.552309 + 0.833640i \(0.686253\pi\)
\(38\) −1.74604 1.46510i −0.283244 0.237670i
\(39\) −0.616016 + 0.438042i −0.0986416 + 0.0701429i
\(40\) −1.20990 + 0.213338i −0.191302 + 0.0337317i
\(41\) −0.273818 1.55290i −0.0427632 0.242522i 0.955932 0.293588i \(-0.0948494\pi\)
−0.998695 + 0.0510656i \(0.983738\pi\)
\(42\) −3.06381 + 3.40779i −0.472756 + 0.525834i
\(43\) −1.56927 1.31677i −0.239311 0.200806i 0.515242 0.857045i \(-0.327702\pi\)
−0.754553 + 0.656239i \(0.772146\pi\)
\(44\) −2.03054 + 1.17233i −0.306116 + 0.176736i
\(45\) −0.0535437 3.68531i −0.00798183 0.549373i
\(46\) 2.70496 4.68513i 0.398825 0.690785i
\(47\) −4.45922 + 1.62303i −0.650445 + 0.236743i −0.646106 0.763248i \(-0.723603\pi\)
−0.00433921 + 0.999991i \(0.501381\pi\)
\(48\) 1.67624 + 0.436123i 0.241945 + 0.0629490i
\(49\) 2.93032 6.35714i 0.418617 0.908163i
\(50\) 1.19386 3.28012i 0.168838 0.463878i
\(51\) −4.97020 3.42664i −0.695968 0.479826i
\(52\) −0.429778 0.0757815i −0.0595995 0.0105090i
\(53\) 0.117957i 0.0162026i 0.999967 + 0.00810130i \(0.00257875\pi\)
−0.999967 + 0.00810130i \(0.997421\pi\)
\(54\) −2.09285 + 4.75605i −0.284801 + 0.647216i
\(55\) 2.88058i 0.388417i
\(56\) −2.64297 + 0.121235i −0.353182 + 0.0162007i
\(57\) 3.93522 + 0.315500i 0.521232 + 0.0417890i
\(58\) 1.98950 + 0.724117i 0.261234 + 0.0950813i
\(59\) 9.22472 7.74046i 1.20096 1.00772i 0.201354 0.979519i \(-0.435466\pi\)
0.999602 0.0282033i \(-0.00897857\pi\)
\(60\) 1.49371 1.51557i 0.192837 0.195659i
\(61\) 3.82461 + 10.5080i 0.489691 + 1.34542i 0.900960 + 0.433902i \(0.142864\pi\)
−0.411269 + 0.911514i \(0.634914\pi\)
\(62\) −4.19821 + 7.27151i −0.533173 + 0.923482i
\(63\) 0.904201 7.88558i 0.113919 0.993490i
\(64\) 0.500000 + 0.866025i 0.0625000 + 0.108253i
\(65\) −0.344635 + 0.410720i −0.0427467 + 0.0509435i
\(66\) 1.68951 3.69296i 0.207964 0.454572i
\(67\) 1.46744 + 8.32229i 0.179277 + 1.01673i 0.933091 + 0.359641i \(0.117101\pi\)
−0.753814 + 0.657088i \(0.771788\pi\)
\(68\) −0.605240 3.43248i −0.0733961 0.416250i
\(69\) 0.884457 + 9.32843i 0.106476 + 1.12301i
\(70\) −1.49454 + 2.88651i −0.178632 + 0.345004i
\(71\) −1.77135 + 1.02269i −0.210220 + 0.121371i −0.601414 0.798938i \(-0.705396\pi\)
0.391194 + 0.920308i \(0.372062\pi\)
\(72\) −2.80387 + 1.06691i −0.330440 + 0.125736i
\(73\) −6.00651 3.46786i −0.703009 0.405882i 0.105458 0.994424i \(-0.466369\pi\)
−0.808467 + 0.588541i \(0.799702\pi\)
\(74\) −1.85490 5.09631i −0.215628 0.592434i
\(75\) 1.60718 + 5.82841i 0.185582 + 0.673007i
\(76\) 1.46510 + 1.74604i 0.168058 + 0.200284i
\(77\) −0.796142 + 6.15211i −0.0907288 + 0.701098i
\(78\) 0.682723 0.324417i 0.0773031 0.0367330i
\(79\) −0.916064 + 5.19526i −0.103065 + 0.584512i 0.888910 + 0.458081i \(0.151463\pi\)
−0.991975 + 0.126431i \(0.959648\pi\)
\(80\) 1.22857 0.137358
\(81\) −1.81967 8.81413i −0.202185 0.979347i
\(82\) 1.57686i 0.174135i
\(83\) −1.50719 + 8.54769i −0.165435 + 0.938231i 0.783179 + 0.621797i \(0.213597\pi\)
−0.948614 + 0.316435i \(0.897514\pi\)
\(84\) 3.60902 2.82400i 0.393777 0.308123i
\(85\) −4.02385 1.46456i −0.436447 0.158854i
\(86\) 1.31677 + 1.56927i 0.141991 + 0.169219i
\(87\) −3.53512 + 0.974809i −0.379005 + 0.104511i
\(88\) 2.20327 0.801923i 0.234869 0.0854853i
\(89\) −7.35317 + 12.7361i −0.779434 + 1.35002i 0.152834 + 0.988252i \(0.451160\pi\)
−0.932268 + 0.361768i \(0.882173\pi\)
\(90\) −0.587217 + 3.63862i −0.0618981 + 0.383544i
\(91\) −0.849559 + 0.781931i −0.0890580 + 0.0819686i
\(92\) −3.47743 + 4.14424i −0.362548 + 0.432067i
\(93\) −1.37271 14.4781i −0.142343 1.50131i
\(94\) 4.67331 0.824031i 0.482016 0.0849924i
\(95\) 2.75771 0.486259i 0.282935 0.0498891i
\(96\) −1.57505 0.720574i −0.160753 0.0735433i
\(97\) −9.82215 + 11.7056i −0.997288 + 1.18852i −0.0152411 + 0.999884i \(0.504852\pi\)
−0.982047 + 0.188638i \(0.939593\pi\)
\(98\) −3.98971 + 5.75172i −0.403021 + 0.581011i
\(99\) 1.32195 + 6.90866i 0.132861 + 0.694347i
\(100\) −1.74531 + 3.02297i −0.174531 + 0.302297i
\(101\) −11.7582 + 4.27964i −1.16999 + 0.425840i −0.852654 0.522475i \(-0.825009\pi\)
−0.317331 + 0.948315i \(0.602787\pi\)
\(102\) 4.29967 + 4.23765i 0.425730 + 0.419590i
\(103\) −4.48548 5.34559i −0.441967 0.526716i 0.498368 0.866966i \(-0.333933\pi\)
−0.940335 + 0.340249i \(0.889489\pi\)
\(104\) 0.410090 + 0.149260i 0.0402126 + 0.0146362i
\(105\) −0.787684 5.57462i −0.0768701 0.544027i
\(106\) 0.0204830 0.116165i 0.00198948 0.0112829i
\(107\) 3.92045i 0.379004i 0.981880 + 0.189502i \(0.0606874\pi\)
−0.981880 + 0.189502i \(0.939313\pi\)
\(108\) 2.88693 4.32037i 0.277795 0.415728i
\(109\) −14.6558 −1.40377 −0.701885 0.712290i \(-0.747658\pi\)
−0.701885 + 0.712290i \(0.747658\pi\)
\(110\) 0.500207 2.83682i 0.0476929 0.270480i
\(111\) 7.73369 + 5.33189i 0.734050 + 0.506081i
\(112\) 2.62387 + 0.339554i 0.247933 + 0.0320849i
\(113\) 2.86487 + 3.41422i 0.269504 + 0.321183i 0.883775 0.467913i \(-0.154994\pi\)
−0.614270 + 0.789096i \(0.710549\pi\)
\(114\) −3.82064 0.994050i −0.357836 0.0931013i
\(115\) 2.27322 + 6.24562i 0.211979 + 0.582407i
\(116\) −1.83353 1.05859i −0.170239 0.0982875i
\(117\) −0.638072 + 1.14321i −0.0589898 + 0.105690i
\(118\) −10.4287 + 6.02101i −0.960039 + 0.554279i
\(119\) −8.18903 4.24001i −0.750687 0.388681i
\(120\) −1.73419 + 1.23316i −0.158309 + 0.112572i
\(121\) 0.955505 + 5.41894i 0.0868641 + 0.492631i
\(122\) −1.94181 11.0125i −0.175803 0.997028i
\(123\) −1.58276 2.22583i −0.142713 0.200696i
\(124\) 5.39711 6.43202i 0.484675 0.577613i
\(125\) 5.21565 + 9.03376i 0.466502 + 0.808004i
\(126\) −2.25978 + 7.60877i −0.201317 + 0.677843i
\(127\) 0.559717 0.969458i 0.0496668 0.0860255i −0.840123 0.542396i \(-0.817517\pi\)
0.889790 + 0.456370i \(0.150851\pi\)
\(128\) −0.342020 0.939693i −0.0302306 0.0830579i
\(129\) −3.43385 0.893414i −0.302333 0.0786607i
\(130\) 0.410720 0.344635i 0.0360225 0.0302265i
\(131\) 16.4598 + 5.99087i 1.43810 + 0.523425i 0.939241 0.343260i \(-0.111531\pi\)
0.498857 + 0.866684i \(0.333753\pi\)
\(132\) −2.30512 + 3.34348i −0.200635 + 0.291012i
\(133\) 6.02409 0.276329i 0.522355 0.0239608i
\(134\) 8.45068i 0.730027i
\(135\) −2.82335 5.72554i −0.242995 0.492776i
\(136\) 3.48544i 0.298874i
\(137\) 22.1177 + 3.89995i 1.88965 + 0.333196i 0.993801 0.111172i \(-0.0354605\pi\)
0.895845 + 0.444368i \(0.146572\pi\)
\(138\) 0.748845 9.34030i 0.0637459 0.795099i
\(139\) 6.05302 16.6305i 0.513411 1.41058i −0.364250 0.931301i \(-0.618675\pi\)
0.877660 0.479283i \(-0.159103\pi\)
\(140\) 1.97307 2.58314i 0.166755 0.218315i
\(141\) −5.76954 + 5.85398i −0.485883 + 0.492994i
\(142\) 1.92202 0.699559i 0.161293 0.0587057i
\(143\) 0.511616 0.886145i 0.0427835 0.0741032i
\(144\) 2.94654 0.563810i 0.245545 0.0469841i
\(145\) −2.25261 + 1.30055i −0.187069 + 0.108004i
\(146\) 5.31307 + 4.45820i 0.439713 + 0.368963i
\(147\) −0.141543 12.1235i −0.0116743 0.999932i
\(148\) 0.941760 + 5.34098i 0.0774122 + 0.439026i
\(149\) 11.4259 2.01470i 0.936049 0.165051i 0.315239 0.949012i \(-0.397915\pi\)
0.620809 + 0.783962i \(0.286804\pi\)
\(150\) −0.570675 6.01895i −0.0465954 0.491445i
\(151\) −8.42543 7.06977i −0.685652 0.575330i 0.232000 0.972716i \(-0.425473\pi\)
−0.917652 + 0.397386i \(0.869918\pi\)
\(152\) −1.13964 1.97392i −0.0924373 0.160106i
\(153\) −10.3227 1.66593i −0.834545 0.134683i
\(154\) 1.85235 5.92039i 0.149267 0.477079i
\(155\) −3.52812 9.69344i −0.283386 0.778596i
\(156\) −0.728685 + 0.200935i −0.0583415 + 0.0160877i
\(157\) −9.34321 11.1348i −0.745669 0.888654i 0.251183 0.967940i \(-0.419180\pi\)
−0.996852 + 0.0792859i \(0.974736\pi\)
\(158\) 1.80429 4.95726i 0.143542 0.394378i
\(159\) 0.0876867 + 0.184533i 0.00695400 + 0.0146344i
\(160\) −1.20990 0.213338i −0.0956511 0.0168659i
\(161\) 3.12878 + 13.9672i 0.246582 + 1.10077i
\(162\) 0.261466 + 8.99620i 0.0205427 + 0.706808i
\(163\) 3.92430 0.307375 0.153687 0.988120i \(-0.450885\pi\)
0.153687 + 0.988120i \(0.450885\pi\)
\(164\) 0.273818 1.55290i 0.0213816 0.121261i
\(165\) 2.14136 + 4.50641i 0.166705 + 0.350824i
\(166\) 2.96858 8.15611i 0.230407 0.633037i
\(167\) 4.67824 3.92551i 0.362013 0.303765i −0.443579 0.896235i \(-0.646292\pi\)
0.805592 + 0.592470i \(0.201847\pi\)
\(168\) −4.04458 + 2.15439i −0.312046 + 0.166215i
\(169\) −12.0370 + 4.38112i −0.925926 + 0.337009i
\(170\) 3.70840 + 2.14104i 0.284421 + 0.164211i
\(171\) 6.39084 2.43179i 0.488719 0.185963i
\(172\) −1.02427 1.77408i −0.0780997 0.135273i
\(173\) −18.9535 15.9039i −1.44101 1.20915i −0.938829 0.344384i \(-0.888088\pi\)
−0.502178 0.864764i \(-0.667468\pi\)
\(174\) 3.65069 0.346133i 0.276758 0.0262403i
\(175\) 3.55301 + 8.52452i 0.268583 + 0.644393i
\(176\) −2.30905 + 0.407147i −0.174051 + 0.0306899i
\(177\) 8.67717 18.9667i 0.652216 1.42563i
\(178\) 9.45305 11.2657i 0.708536 0.844401i
\(179\) 15.9501 9.20879i 1.19217 0.688297i 0.233369 0.972388i \(-0.425025\pi\)
0.958797 + 0.284091i \(0.0916918\pi\)
\(180\) 1.21014 3.48137i 0.0901981 0.259486i
\(181\) 4.81715 + 2.78118i 0.358056 + 0.206724i 0.668228 0.743957i \(-0.267053\pi\)
−0.310172 + 0.950681i \(0.600387\pi\)
\(182\) 0.972433 0.622527i 0.0720815 0.0461448i
\(183\) 13.7947 + 13.5958i 1.01974 + 1.00503i
\(184\) 4.14424 3.47743i 0.305518 0.256360i
\(185\) 6.26115 + 2.27887i 0.460329 + 0.167546i
\(186\) −1.16224 + 14.4965i −0.0852193 + 1.06293i
\(187\) 8.04804 + 1.41909i 0.588531 + 0.103774i
\(188\) −4.74541 −0.346094
\(189\) −4.44744 13.0085i −0.323504 0.946227i
\(190\) −2.80026 −0.203152
\(191\) 9.01172 + 1.58901i 0.652065 + 0.114977i 0.489888 0.871785i \(-0.337038\pi\)
0.162176 + 0.986762i \(0.448149\pi\)
\(192\) 1.42599 + 0.983131i 0.102912 + 0.0709514i
\(193\) −25.3984 9.24425i −1.82821 0.665416i −0.993374 0.114923i \(-0.963338\pi\)
−0.834840 0.550492i \(-0.814440\pi\)
\(194\) 11.7056 9.82215i 0.840412 0.705189i
\(195\) −0.233830 + 0.898730i −0.0167449 + 0.0643594i
\(196\) 4.92787 4.97153i 0.351991 0.355109i
\(197\) −9.39441 5.42386i −0.669324 0.386434i 0.126497 0.991967i \(-0.459627\pi\)
−0.795820 + 0.605533i \(0.792960\pi\)
\(198\) −0.102186 7.03326i −0.00726204 0.499832i
\(199\) −4.71281 + 2.72094i −0.334082 + 0.192882i −0.657652 0.753322i \(-0.728450\pi\)
0.323570 + 0.946204i \(0.395117\pi\)
\(200\) 2.24373 2.67397i 0.158656 0.189079i
\(201\) 8.48231 + 11.9286i 0.598296 + 0.841381i
\(202\) 12.3227 2.17283i 0.867024 0.152880i
\(203\) −5.17040 + 2.15502i −0.362891 + 0.151253i
\(204\) −3.49848 4.91990i −0.244943 0.344462i
\(205\) −1.48404 1.24525i −0.103650 0.0869724i
\(206\) 3.48908 + 6.04327i 0.243096 + 0.421055i
\(207\) 8.31822 + 13.9360i 0.578156 + 0.968621i
\(208\) −0.377941 0.218204i −0.0262055 0.0151297i
\(209\) −5.02188 + 1.82781i −0.347371 + 0.126433i
\(210\) −0.192306 + 5.62671i −0.0132704 + 0.388280i
\(211\) 17.8538 14.9811i 1.22911 1.03134i 0.230809 0.972999i \(-0.425863\pi\)
0.998297 0.0583429i \(-0.0185817\pi\)
\(212\) −0.0403436 + 0.110843i −0.00277081 + 0.00761273i
\(213\) −2.01087 + 2.91669i −0.137783 + 0.199848i
\(214\) 0.680779 3.86089i 0.0465371 0.263925i
\(215\) −2.51676 −0.171642
\(216\) −3.59330 + 3.75342i −0.244493 + 0.255388i
\(217\) −4.85598 21.6776i −0.329646 1.47157i
\(218\) 14.4331 + 2.54495i 0.977536 + 0.172366i
\(219\) −11.9746 0.960047i −0.809168 0.0648739i
\(220\) −0.985216 + 2.70686i −0.0664232 + 0.182496i
\(221\) 0.977727 + 1.16521i 0.0657691 + 0.0783805i
\(222\) −6.69033 6.59383i −0.449025 0.442549i
\(223\) 2.24207 + 6.16004i 0.150140 + 0.412507i 0.991848 0.127426i \(-0.0406717\pi\)
−0.841708 + 0.539933i \(0.818449\pi\)
\(224\) −2.52505 0.790026i −0.168712 0.0527859i
\(225\) 6.84702 + 7.92329i 0.456468 + 0.528219i
\(226\) −2.22847 3.85983i −0.148236 0.256752i
\(227\) −4.62522 3.88102i −0.306986 0.257592i 0.476259 0.879305i \(-0.341993\pi\)
−0.783245 + 0.621713i \(0.786437\pi\)
\(228\) 3.58999 + 1.64240i 0.237753 + 0.108770i
\(229\) −19.5706 + 3.45082i −1.29326 + 0.228037i −0.777602 0.628757i \(-0.783564\pi\)
−0.515659 + 0.856794i \(0.672453\pi\)
\(230\) −1.15414 6.54548i −0.0761020 0.431596i
\(231\) 3.32786 + 10.2163i 0.218957 + 0.672181i
\(232\) 1.62185 + 1.36090i 0.106480 + 0.0893472i
\(233\) 3.33964 1.92814i 0.218787 0.126317i −0.386601 0.922247i \(-0.626351\pi\)
0.605389 + 0.795930i \(0.293018\pi\)
\(234\) 0.826895 1.01504i 0.0540558 0.0663555i
\(235\) −2.91502 + 5.04897i −0.190155 + 0.329358i
\(236\) 11.3158 4.11861i 0.736595 0.268099i
\(237\) 2.42895 + 8.80851i 0.157777 + 0.572174i
\(238\) 7.32835 + 5.59761i 0.475026 + 0.362839i
\(239\) 3.12052 8.57356i 0.201850 0.554578i −0.796924 0.604079i \(-0.793541\pi\)
0.998774 + 0.0495016i \(0.0157633\pi\)
\(240\) 1.92198 0.913291i 0.124064 0.0589527i
\(241\) 27.7998 + 4.90186i 1.79074 + 0.315757i 0.967678 0.252188i \(-0.0811503\pi\)
0.823066 + 0.567945i \(0.192261\pi\)
\(242\) 5.50254i 0.353716i
\(243\) −9.39895 12.4362i −0.602943 0.797784i
\(244\) 11.1824i 0.715881i
\(245\) −2.26245 8.29703i −0.144543 0.530078i
\(246\) 1.17220 + 2.46685i 0.0747369 + 0.157281i
\(247\) −0.934713 0.340208i −0.0594743 0.0216469i
\(248\) −6.43202 + 5.39711i −0.408434 + 0.342717i
\(249\) 3.99632 + 14.4925i 0.253256 + 0.918427i
\(250\) −3.56771 9.80221i −0.225642 0.619946i
\(251\) 5.07709 8.79378i 0.320463 0.555058i −0.660121 0.751160i \(-0.729495\pi\)
0.980584 + 0.196101i \(0.0628282\pi\)
\(252\) 3.54670 7.10077i 0.223421 0.447306i
\(253\) −6.34224 10.9851i −0.398733 0.690626i
\(254\) −0.719558 + 0.857536i −0.0451491 + 0.0538066i
\(255\) −7.38368 + 0.700069i −0.462384 + 0.0438400i
\(256\) 0.173648 + 0.984808i 0.0108530 + 0.0615505i
\(257\) 2.19809 + 12.4660i 0.137113 + 0.777607i 0.973365 + 0.229261i \(0.0736310\pi\)
−0.836252 + 0.548346i \(0.815258\pi\)
\(258\) 3.22654 + 1.47612i 0.200876 + 0.0918994i
\(259\) 12.7422 + 6.59751i 0.791763 + 0.409949i
\(260\) −0.464325 + 0.268078i −0.0287962 + 0.0166255i
\(261\) −4.80573 + 4.15294i −0.297467 + 0.257061i
\(262\) −15.1694 8.75806i −0.937169 0.541075i
\(263\) −9.71268 26.6854i −0.598909 1.64549i −0.753451 0.657504i \(-0.771612\pi\)
0.154542 0.987986i \(-0.450610\pi\)
\(264\) 2.85068 2.89240i 0.175447 0.178015i
\(265\) 0.0931513 + 0.111013i 0.00572224 + 0.00681950i
\(266\) −5.98056 0.773942i −0.366692 0.0474534i
\(267\) −2.03566 + 25.3907i −0.124580 + 1.55388i
\(268\) −1.46744 + 8.32229i −0.0896384 + 0.508365i
\(269\) 12.8796 0.785282 0.392641 0.919692i \(-0.371562\pi\)
0.392641 + 0.919692i \(0.371562\pi\)
\(270\) 1.78623 + 6.12883i 0.108706 + 0.372988i
\(271\) 23.3304i 1.41722i 0.705601 + 0.708610i \(0.250677\pi\)
−0.705601 + 0.708610i \(0.749323\pi\)
\(272\) 0.605240 3.43248i 0.0366980 0.208125i
\(273\) −0.747789 + 1.85481i −0.0452583 + 0.112258i
\(274\) −21.1045 7.68141i −1.27497 0.464051i
\(275\) −5.26080 6.26958i −0.317238 0.378070i
\(276\) −2.35939 + 9.06836i −0.142019 + 0.545851i
\(277\) −20.8905 + 7.60350i −1.25519 + 0.456850i −0.882151 0.470967i \(-0.843905\pi\)
−0.373035 + 0.927817i \(0.621683\pi\)
\(278\) −8.84893 + 15.3268i −0.530723 + 0.919240i
\(279\) −12.9102 21.6292i −0.772913 1.29491i
\(280\) −2.39166 + 2.20127i −0.142929 + 0.131551i
\(281\) −6.37582 + 7.59841i −0.380350 + 0.453283i −0.921925 0.387369i \(-0.873384\pi\)
0.541575 + 0.840653i \(0.317828\pi\)
\(282\) 6.69842 4.76317i 0.398885 0.283643i
\(283\) −7.82006 + 1.37889i −0.464855 + 0.0819664i −0.401170 0.916004i \(-0.631396\pi\)
−0.0636847 + 0.997970i \(0.520285\pi\)
\(284\) −2.01430 + 0.355176i −0.119527 + 0.0210758i
\(285\) 3.95273 2.81074i 0.234139 0.166494i
\(286\) −0.657721 + 0.783842i −0.0388919 + 0.0463495i
\(287\) −2.82532 3.06968i −0.166773 0.181197i
\(288\) −2.99968 + 0.0435823i −0.176758 + 0.00256811i
\(289\) 2.42587 4.20172i 0.142698 0.247160i
\(290\) 2.44423 0.889626i 0.143530 0.0522406i
\(291\) −6.66420 + 25.6139i −0.390662 + 1.50152i
\(292\) −4.45820 5.31307i −0.260896 0.310924i
\(293\) −11.8053 4.29677i −0.689672 0.251020i −0.0266772 0.999644i \(-0.508493\pi\)
−0.662995 + 0.748624i \(0.730715\pi\)
\(294\) −1.96584 + 11.9639i −0.114650 + 0.697750i
\(295\) 2.56902 14.5696i 0.149574 0.848278i
\(296\) 5.42338i 0.315227i
\(297\) 7.20383 + 9.82529i 0.418009 + 0.570121i
\(298\) −11.6022 −0.672097
\(299\) 0.409972 2.32507i 0.0237093 0.134462i
\(300\) −0.483175 + 6.02660i −0.0278961 + 0.347946i
\(301\) −5.37510 0.695589i −0.309815 0.0400931i
\(302\) 7.06977 + 8.42543i 0.406820 + 0.484829i
\(303\) −15.2133 + 15.4359i −0.873981 + 0.886771i
\(304\) 0.779562 + 2.14183i 0.0447110 + 0.122842i
\(305\) 11.8977 + 6.86917i 0.681263 + 0.393327i
\(306\) 9.87663 + 3.43315i 0.564610 + 0.196260i
\(307\) 7.67098 4.42884i 0.437806 0.252767i −0.264861 0.964287i \(-0.585326\pi\)
0.702667 + 0.711519i \(0.251993\pi\)
\(308\) −2.85227 + 5.50879i −0.162523 + 0.313893i
\(309\) −10.9909 5.02829i −0.625253 0.286049i
\(310\) 1.79128 + 10.1588i 0.101738 + 0.576983i
\(311\) 3.63244 + 20.6006i 0.205977 + 1.16815i 0.895895 + 0.444266i \(0.146535\pi\)
−0.689918 + 0.723887i \(0.742353\pi\)
\(312\) 0.752507 0.0713474i 0.0426023 0.00403925i
\(313\) 8.13089 9.69001i 0.459585 0.547712i −0.485628 0.874165i \(-0.661409\pi\)
0.945213 + 0.326453i \(0.105854\pi\)
\(314\) 7.26772 + 12.5881i 0.410141 + 0.710386i
\(315\) −5.37632 8.13546i −0.302921 0.458381i
\(316\) −2.63770 + 4.56863i −0.148382 + 0.257006i
\(317\) 1.60647 + 4.41375i 0.0902285 + 0.247901i 0.976596 0.215081i \(-0.0690017\pi\)
−0.886368 + 0.462982i \(0.846779\pi\)
\(318\) −0.0543107 0.196956i −0.00304559 0.0110448i
\(319\) 3.80270 3.19085i 0.212911 0.178653i
\(320\) 1.15447 + 0.420194i 0.0645371 + 0.0234896i
\(321\) 2.91438 + 6.13320i 0.162665 + 0.342322i
\(322\) −0.655871 14.2983i −0.0365503 0.796812i
\(323\) 7.94431i 0.442033i
\(324\) 1.30468 8.90493i 0.0724822 0.494718i
\(325\) 1.52334i 0.0844996i
\(326\) −3.86468 0.681447i −0.214045 0.0377419i
\(327\) −22.9277 + 10.8948i −1.26791 + 0.602485i
\(328\) −0.539317 + 1.48176i −0.0297788 + 0.0818165i
\(329\) −7.62112 + 9.97752i −0.420166 + 0.550078i
\(330\) −1.32630 4.80979i −0.0730105 0.264770i
\(331\) 9.76080 3.55264i 0.536502 0.195271i −0.0595370 0.998226i \(-0.518962\pi\)
0.596039 + 0.802955i \(0.296740\pi\)
\(332\) −4.33978 + 7.51671i −0.238176 + 0.412533i
\(333\) 16.0623 + 2.59221i 0.880209 + 0.142052i
\(334\) −5.28882 + 3.05350i −0.289392 + 0.167080i
\(335\) 7.95324 + 6.67356i 0.434532 + 0.364615i
\(336\) 4.35724 1.41933i 0.237707 0.0774308i
\(337\) −0.683890 3.87853i −0.0372538 0.211277i 0.960499 0.278285i \(-0.0897659\pi\)
−0.997752 + 0.0670077i \(0.978655\pi\)
\(338\) 12.6149 2.22435i 0.686162 0.120989i
\(339\) 7.01990 + 3.21156i 0.381269 + 0.174428i
\(340\) −3.28027 2.75247i −0.177898 0.149274i
\(341\) 9.84340 + 17.0493i 0.533050 + 0.923269i
\(342\) −6.71602 + 1.28508i −0.363161 + 0.0694894i
\(343\) −2.53880 18.3454i −0.137083 0.990560i
\(344\) 0.700641 + 1.92499i 0.0377760 + 0.103789i
\(345\) 8.19912 + 8.08086i 0.441426 + 0.435059i
\(346\) 15.9039 + 18.9535i 0.854997 + 1.01895i
\(347\) 9.50367 26.1111i 0.510184 1.40172i −0.370862 0.928688i \(-0.620938\pi\)
0.881046 0.473030i \(-0.156840\pi\)
\(348\) −3.65533 0.293061i −0.195946 0.0157097i
\(349\) −16.5657 2.92098i −0.886740 0.156356i −0.288316 0.957535i \(-0.593095\pi\)
−0.598425 + 0.801179i \(0.704206\pi\)
\(350\) −2.01877 9.01198i −0.107908 0.481711i
\(351\) −0.148367 + 2.26279i −0.00791924 + 0.120779i
\(352\) 2.34467 0.124971
\(353\) 0.293221 1.66294i 0.0156066 0.0885094i −0.976010 0.217727i \(-0.930136\pi\)
0.991616 + 0.129218i \(0.0412467\pi\)
\(354\) −11.8389 + 17.1718i −0.629229 + 0.912672i
\(355\) −0.859455 + 2.36133i −0.0456151 + 0.125327i
\(356\) −11.2657 + 9.45305i −0.597081 + 0.501011i
\(357\) −15.9630 0.545571i −0.844849 0.0288747i
\(358\) −17.3069 + 6.29918i −0.914696 + 0.332922i
\(359\) −10.5518 6.09211i −0.556905 0.321529i 0.194997 0.980804i \(-0.437530\pi\)
−0.751902 + 0.659274i \(0.770864\pi\)
\(360\) −1.79628 + 3.21834i −0.0946725 + 0.169622i
\(361\) −6.90242 11.9553i −0.363285 0.629229i
\(362\) −4.26102 3.57542i −0.223954 0.187920i
\(363\) 5.52313 + 7.76715i 0.289889 + 0.407670i
\(364\) −1.06576 + 0.444208i −0.0558610 + 0.0232828i
\(365\) −8.39154 + 1.47965i −0.439233 + 0.0774486i
\(366\) −11.2243 15.7846i −0.586702 0.825076i
\(367\) −13.7838 + 16.4269i −0.719507 + 0.857475i −0.994583 0.103948i \(-0.966853\pi\)
0.275076 + 0.961423i \(0.411297\pi\)
\(368\) −4.68513 + 2.70496i −0.244229 + 0.141006i
\(369\) −4.13072 2.30552i −0.215037 0.120021i
\(370\) −5.77031 3.33149i −0.299984 0.173196i
\(371\) 0.168263 + 0.262839i 0.00873577 + 0.0136459i
\(372\) 3.66187 14.0744i 0.189859 0.729726i
\(373\) 15.0931 12.6646i 0.781491 0.655749i −0.162133 0.986769i \(-0.551837\pi\)
0.943624 + 0.331020i \(0.107393\pi\)
\(374\) −7.67935 2.79505i −0.397090 0.144529i
\(375\) 14.8749 + 10.2553i 0.768139 + 0.529583i
\(376\) 4.67331 + 0.824031i 0.241008 + 0.0424962i
\(377\) 0.923954 0.0475861
\(378\) 2.12097 + 13.5831i 0.109091 + 0.698641i
\(379\) 24.8328 1.27558 0.637788 0.770212i \(-0.279849\pi\)
0.637788 + 0.770212i \(0.279849\pi\)
\(380\) 2.75771 + 0.486259i 0.141468 + 0.0249446i
\(381\) 0.154953 1.93271i 0.00793847 0.0990160i
\(382\) −8.59888 3.12974i −0.439957 0.160131i
\(383\) 7.41782 6.22429i 0.379033 0.318047i −0.433290 0.901255i \(-0.642647\pi\)
0.812323 + 0.583208i \(0.198203\pi\)
\(384\) −1.23361 1.21582i −0.0629523 0.0620444i
\(385\) 4.10908 + 6.41869i 0.209418 + 0.327127i
\(386\) 23.4073 + 13.5142i 1.19140 + 0.687854i
\(387\) −6.03610 + 1.15498i −0.306832 + 0.0587112i
\(388\) −13.2333 + 7.64027i −0.671821 + 0.387876i
\(389\) 19.7679 23.5584i 1.00227 1.19446i 0.0214059 0.999771i \(-0.493186\pi\)
0.980865 0.194689i \(-0.0623698\pi\)
\(390\) 0.386341 0.844472i 0.0195631 0.0427615i
\(391\) 18.5695 3.27430i 0.939099 0.165589i
\(392\) −5.71630 + 4.04029i −0.288717 + 0.204065i
\(393\) 30.2034 2.86367i 1.52356 0.144453i
\(394\) 8.30984 + 6.97278i 0.418644 + 0.351284i
\(395\) 3.24059 + 5.61286i 0.163052 + 0.282414i
\(396\) −1.12068 + 6.94415i −0.0563162 + 0.348957i
\(397\) 7.92617 + 4.57618i 0.397803 + 0.229672i 0.685536 0.728039i \(-0.259568\pi\)
−0.287732 + 0.957711i \(0.592901\pi\)
\(398\) 5.11369 1.86123i 0.256326 0.0932952i
\(399\) 9.21875 4.91048i 0.461515 0.245832i
\(400\) −2.67397 + 2.24373i −0.133699 + 0.112187i
\(401\) −11.1932 + 30.7530i −0.558961 + 1.53573i 0.262187 + 0.965017i \(0.415556\pi\)
−0.821148 + 0.570715i \(0.806666\pi\)
\(402\) −6.28206 13.2203i −0.313321 0.659371i
\(403\) −0.636293 + 3.60860i −0.0316960 + 0.179757i
\(404\) −12.5128 −0.622536
\(405\) −8.67313 6.85829i −0.430971 0.340791i
\(406\) 5.46606 1.22445i 0.271276 0.0607684i
\(407\) −12.5228 2.20811i −0.620734 0.109452i
\(408\) 2.59100 + 5.45266i 0.128274 + 0.269947i
\(409\) −2.40239 + 6.60050i −0.118790 + 0.326374i −0.984810 0.173637i \(-0.944448\pi\)
0.866020 + 0.500010i \(0.166670\pi\)
\(410\) 1.24525 + 1.48404i 0.0614987 + 0.0732913i
\(411\) 37.5004 10.3407i 1.84976 0.510071i
\(412\) −2.38667 6.55733i −0.117583 0.323057i
\(413\) 9.51351 30.4066i 0.468129 1.49621i
\(414\) −5.77188 15.1688i −0.283673 0.745504i
\(415\) 5.33170 + 9.23478i 0.261723 + 0.453317i
\(416\) 0.334308 + 0.280518i 0.0163908 + 0.0137535i
\(417\) −2.89338 30.5167i −0.141690 1.49441i
\(418\) 5.26298 0.928006i 0.257421 0.0453902i
\(419\) −5.62520 31.9021i −0.274809 1.55852i −0.739568 0.673082i \(-0.764970\pi\)
0.464759 0.885437i \(-0.346141\pi\)
\(420\) 1.16645 5.50783i 0.0569170 0.268755i
\(421\) 7.36408 + 6.17920i 0.358903 + 0.301156i 0.804353 0.594151i \(-0.202512\pi\)
−0.445450 + 0.895307i \(0.646956\pi\)
\(422\) −20.1840 + 11.6532i −0.982541 + 0.567271i
\(423\) −4.67422 + 13.4470i −0.227268 + 0.653815i
\(424\) 0.0589784 0.102154i 0.00286424 0.00496101i
\(425\) 11.4326 4.16114i 0.554564 0.201845i
\(426\) 2.48680 2.52319i 0.120486 0.122249i
\(427\) 23.5117 + 17.9589i 1.13781 + 0.869094i
\(428\) −1.34087 + 3.68402i −0.0648135 + 0.178074i
\(429\) 0.141636 1.76662i 0.00683827 0.0852933i
\(430\) 2.47853 + 0.437031i 0.119525 + 0.0210755i
\(431\) 1.82273i 0.0877979i −0.999036 0.0438989i \(-0.986022\pi\)
0.999036 0.0438989i \(-0.0139780\pi\)
\(432\) 4.19048 3.07243i 0.201615 0.147822i
\(433\) 32.5239i 1.56300i −0.623906 0.781499i \(-0.714455\pi\)
0.623906 0.781499i \(-0.285545\pi\)
\(434\) 1.01794 + 22.1915i 0.0488626 + 1.06523i
\(435\) −2.55722 + 3.70914i −0.122609 + 0.177840i
\(436\) −13.7719 5.01258i −0.659556 0.240059i
\(437\) −9.44592 + 7.92607i −0.451860 + 0.379155i
\(438\) 11.6260 + 3.02483i 0.555510 + 0.144532i
\(439\) −10.8479 29.8044i −0.517743 1.42249i −0.873001 0.487719i \(-0.837829\pi\)
0.355257 0.934768i \(-0.384393\pi\)
\(440\) 1.44029 2.49465i 0.0686631 0.118928i
\(441\) −9.23382 18.8610i −0.439706 0.898142i
\(442\) −0.760537 1.31729i −0.0361751 0.0626570i
\(443\) −22.8370 + 27.2161i −1.08502 + 1.29307i −0.131640 + 0.991298i \(0.542024\pi\)
−0.953379 + 0.301777i \(0.902420\pi\)
\(444\) 5.44368 + 7.65542i 0.258346 + 0.363310i
\(445\) 3.13742 + 17.7932i 0.148728 + 0.843479i
\(446\) −1.13833 6.45579i −0.0539015 0.305690i
\(447\) 16.3772 11.6456i 0.774614 0.550819i
\(448\) 2.34950 + 1.21649i 0.111003 + 0.0574739i
\(449\) −5.81350 + 3.35643i −0.274356 + 0.158400i −0.630866 0.775892i \(-0.717300\pi\)
0.356509 + 0.934292i \(0.383967\pi\)
\(450\) −5.36713 8.99189i −0.253009 0.423882i
\(451\) 3.20187 + 1.84860i 0.150770 + 0.0870473i
\(452\) 1.52437 + 4.18816i 0.0717002 + 0.196995i
\(453\) −18.4364 4.79675i −0.866216 0.225371i
\(454\) 3.88102 + 4.62522i 0.182145 + 0.217072i
\(455\) −0.182054 + 1.40681i −0.00853484 + 0.0659521i
\(456\) −3.25025 2.24084i −0.152207 0.104937i
\(457\) 0.292432 1.65846i 0.0136794 0.0775796i −0.977204 0.212303i \(-0.931904\pi\)
0.990883 + 0.134724i \(0.0430147\pi\)
\(458\) 19.8725 0.928580
\(459\) −17.3875 + 5.06751i −0.811577 + 0.236531i
\(460\) 6.64645i 0.309892i
\(461\) −0.201902 + 1.14505i −0.00940353 + 0.0533301i −0.989148 0.146919i \(-0.953064\pi\)
0.979745 + 0.200250i \(0.0641753\pi\)
\(462\) −1.50326 10.6389i −0.0699381 0.494968i
\(463\) −0.00916975 0.00333751i −0.000426154 0.000155107i 0.341807 0.939770i \(-0.388961\pi\)
−0.342233 + 0.939615i \(0.611183\pi\)
\(464\) −1.36090 1.62185i −0.0631780 0.0752926i
\(465\) −12.7253 12.5418i −0.590124 0.581612i
\(466\) −3.62372 + 1.31893i −0.167866 + 0.0610981i
\(467\) −4.32870 + 7.49752i −0.200308 + 0.346944i −0.948628 0.316394i \(-0.897528\pi\)
0.748320 + 0.663338i \(0.230861\pi\)
\(468\) −0.990593 + 0.856035i −0.0457902 + 0.0395702i
\(469\) 15.1414 + 16.4510i 0.699166 + 0.759636i
\(470\) 3.74748 4.46607i 0.172858 0.206005i
\(471\) −22.8940 10.4739i −1.05490 0.482610i
\(472\) −11.8591 + 2.09107i −0.545858 + 0.0962495i
\(473\) 4.73017 0.834056i 0.217493 0.0383499i
\(474\) −0.862464 9.09647i −0.0396143 0.417815i
\(475\) −5.11411 + 6.09476i −0.234651 + 0.279647i
\(476\) −6.24500 6.78512i −0.286239 0.310995i
\(477\) 0.274356 + 0.223501i 0.0125619 + 0.0102334i
\(478\) −4.56190 + 7.90144i −0.208656 + 0.361403i
\(479\) −29.2874 + 10.6598i −1.33818 + 0.487056i −0.909238 0.416277i \(-0.863335\pi\)
−0.428939 + 0.903334i \(0.641112\pi\)
\(480\) −2.05138 + 0.565667i −0.0936321 + 0.0258190i
\(481\) −1.52135 1.81308i −0.0693678 0.0826693i
\(482\) −26.5263 9.65478i −1.20824 0.439763i
\(483\) 15.2776 + 19.5245i 0.695155 + 0.888398i
\(484\) −0.955505 + 5.41894i −0.0434321 + 0.246315i
\(485\) 18.7732i 0.852445i
\(486\) 7.09663 + 13.8794i 0.321910 + 0.629582i
\(487\) −1.34497 −0.0609466 −0.0304733 0.999536i \(-0.509701\pi\)
−0.0304733 + 0.999536i \(0.509701\pi\)
\(488\) 1.94181 11.0125i 0.0879014 0.498514i
\(489\) 6.13922 2.91724i 0.277625 0.131922i
\(490\) 0.787315 + 8.56385i 0.0355673 + 0.386875i
\(491\) −4.22823 5.03901i −0.190818 0.227407i 0.662150 0.749371i \(-0.269644\pi\)
−0.852968 + 0.521964i \(0.825200\pi\)
\(492\) −0.726030 2.63293i −0.0327320 0.118702i
\(493\) 2.52387 + 6.93426i 0.113669 + 0.312304i
\(494\) 0.861436 + 0.497350i 0.0387578 + 0.0223768i
\(495\) 6.69995 + 5.45804i 0.301140 + 0.245321i
\(496\) 7.27151 4.19821i 0.326500 0.188505i
\(497\) −2.48819 + 4.80560i −0.111610 + 0.215561i
\(498\) −1.41900 14.9663i −0.0635870 0.670656i
\(499\) 5.69767 + 32.3131i 0.255063 + 1.44653i 0.795911 + 0.605413i \(0.206992\pi\)
−0.540848 + 0.841120i \(0.681897\pi\)
\(500\) 1.81138 + 10.2728i 0.0810072 + 0.459414i
\(501\) 4.40055 9.61883i 0.196602 0.429737i
\(502\) −6.52698 + 7.77855i −0.291313 + 0.347174i
\(503\) −16.8167 29.1274i −0.749821 1.29873i −0.947908 0.318544i \(-0.896806\pi\)
0.198087 0.980185i \(-0.436527\pi\)
\(504\) −4.72585 + 6.37701i −0.210506 + 0.284055i
\(505\) −7.68641 + 13.3133i −0.342041 + 0.592432i
\(506\) 4.33835 + 11.9195i 0.192863 + 0.529887i
\(507\) −15.5741 + 15.8020i −0.691668 + 0.701790i
\(508\) 0.857536 0.719558i 0.0380470 0.0319252i
\(509\) 1.94816 + 0.709073i 0.0863508 + 0.0314291i 0.384834 0.922986i \(-0.374259\pi\)
−0.298484 + 0.954415i \(0.596481\pi\)
\(510\) 7.39307 + 0.592729i 0.327371 + 0.0262465i
\(511\) −18.3309 + 0.840851i −0.810912 + 0.0371971i
\(512\) 1.00000i 0.0441942i
\(513\) 8.19016 8.55513i 0.361605 0.377718i
\(514\) 12.6583i 0.558333i
\(515\) −8.44289 1.48871i −0.372038 0.0656004i
\(516\) −2.92120 2.01398i −0.128598 0.0886605i
\(517\) 3.80545 10.4554i 0.167364 0.459828i
\(518\) −11.4030 8.70994i −0.501019 0.382693i
\(519\) −41.4737 10.7906i −1.82049 0.473653i
\(520\) 0.503822 0.183376i 0.0220941 0.00804158i
\(521\) 17.6685 30.6027i 0.774069 1.34073i −0.161247 0.986914i \(-0.551551\pi\)
0.935316 0.353813i \(-0.115115\pi\)
\(522\) 5.45387 3.25534i 0.238710 0.142482i
\(523\) 0.666516 0.384813i 0.0291447 0.0168267i −0.485357 0.874316i \(-0.661310\pi\)
0.514502 + 0.857489i \(0.327977\pi\)
\(524\) 13.4181 + 11.2592i 0.586174 + 0.491858i
\(525\) 11.8953 + 10.6946i 0.519155 + 0.466752i
\(526\) 4.93126 + 27.9665i 0.215013 + 1.21940i
\(527\) −28.8206 + 5.08184i −1.25544 + 0.221368i
\(528\) −3.30964 + 2.35344i −0.144033 + 0.102421i
\(529\) −4.80103 4.02854i −0.208741 0.175154i
\(530\) −0.0724588 0.125502i −0.00314741 0.00545147i
\(531\) −0.524819 36.1222i −0.0227752 1.56757i
\(532\) 5.75531 + 1.80070i 0.249524 + 0.0780701i
\(533\) 0.235362 + 0.646653i 0.0101947 + 0.0280096i
\(534\) 6.41378 24.6514i 0.277551 1.06677i
\(535\) 3.09601 + 3.68968i 0.133852 + 0.159519i
\(536\) 2.89030 7.94104i 0.124842 0.343001i
\(537\) 18.1069 26.2633i 0.781370 1.13335i
\(538\) −12.6839 2.23651i −0.546842 0.0964230i
\(539\) 7.00183 + 14.8442i 0.301590 + 0.639385i
\(540\) −0.694829 6.34589i −0.0299007 0.273084i
\(541\) 28.0848 1.20746 0.603731 0.797188i \(-0.293680\pi\)
0.603731 + 0.797188i \(0.293680\pi\)
\(542\) 4.05128 22.9759i 0.174017 0.986901i
\(543\) 9.60348 + 0.769946i 0.412125 + 0.0330415i
\(544\) −1.19209 + 3.27524i −0.0511104 + 0.140425i
\(545\) −13.7931 + 11.5738i −0.590831 + 0.495766i
\(546\) 1.05851 1.69678i 0.0453001 0.0726153i
\(547\) 30.8451 11.2267i 1.31884 0.480019i 0.415754 0.909477i \(-0.363518\pi\)
0.903087 + 0.429458i \(0.141295\pi\)
\(548\) 19.4500 + 11.2295i 0.830863 + 0.479699i
\(549\) 31.6875 + 11.0147i 1.35239 + 0.470094i
\(550\) 4.09218 + 7.08786i 0.174491 + 0.302227i
\(551\) −3.69667 3.10187i −0.157483 0.132144i
\(552\) 3.89825 8.52089i 0.165921 0.362673i
\(553\) 5.36969 + 12.8831i 0.228342 + 0.547847i
\(554\) 21.8934 3.86040i 0.930162 0.164013i
\(555\) 11.4891 1.08932i 0.487685 0.0462389i
\(556\) 11.3760 13.5573i 0.482448 0.574959i
\(557\) 19.8930 11.4852i 0.842895 0.486645i −0.0153525 0.999882i \(-0.504887\pi\)
0.858247 + 0.513237i \(0.171554\pi\)
\(558\) 8.95818 + 23.5425i 0.379230 + 0.996633i
\(559\) 0.774225 + 0.446999i 0.0327462 + 0.0189061i
\(560\) 2.73757 1.75252i 0.115683 0.0740576i
\(561\) 13.6454 3.76271i 0.576108 0.158862i
\(562\) 7.59841 6.37582i 0.320520 0.268948i
\(563\) 18.1788 + 6.61655i 0.766146 + 0.278854i 0.695384 0.718639i \(-0.255235\pi\)
0.0707626 + 0.997493i \(0.477457\pi\)
\(564\) −7.42378 + 3.52764i −0.312597 + 0.148540i
\(565\) 5.39247 + 0.950837i 0.226863 + 0.0400020i
\(566\) 7.94070 0.333773
\(567\) −16.6279 17.0445i −0.698305 0.715801i
\(568\) 2.04537 0.0858220
\(569\) −13.7869 2.43100i −0.577976 0.101913i −0.122985 0.992409i \(-0.539247\pi\)
−0.454992 + 0.890496i \(0.650358\pi\)
\(570\) −4.38075 + 2.08165i −0.183490 + 0.0871908i
\(571\) −25.4729 9.27136i −1.06601 0.387994i −0.251324 0.967903i \(-0.580866\pi\)
−0.814682 + 0.579909i \(0.803088\pi\)
\(572\) 0.783842 0.657721i 0.0327741 0.0275007i
\(573\) 15.2793 4.21326i 0.638301 0.176012i
\(574\) 2.24935 + 3.51365i 0.0938862 + 0.146657i
\(575\) −16.3540 9.44201i −0.682011 0.393759i
\(576\) 2.96168 + 0.477969i 0.123403 + 0.0199154i
\(577\) 23.7587 13.7171i 0.989089 0.571051i 0.0840869 0.996458i \(-0.473203\pi\)
0.905002 + 0.425408i \(0.139869\pi\)
\(578\) −3.11863 + 3.71664i −0.129718 + 0.154592i
\(579\) −46.6055 + 4.41881i −1.93686 + 0.183639i
\(580\) −2.56158 + 0.451675i −0.106364 + 0.0187548i
\(581\) 8.83469 + 21.1965i 0.366525 + 0.879378i
\(582\) 11.0108 24.0676i 0.456411 0.997633i
\(583\) −0.211864 0.177775i −0.00877453 0.00736270i
\(584\) 3.46786 + 6.00651i 0.143501 + 0.248551i
\(585\) 0.302290 + 1.57981i 0.0124982 + 0.0653170i
\(586\) 10.8798 + 6.28146i 0.449441 + 0.259485i
\(587\) 41.8734 15.2407i 1.72830 0.629050i 0.729792 0.683669i \(-0.239617\pi\)
0.998507 + 0.0546196i \(0.0173946\pi\)
\(588\) 4.01348 11.4408i 0.165513 0.471811i
\(589\) 14.6604 12.3016i 0.604073 0.506877i
\(590\) −5.05999 + 13.9022i −0.208316 + 0.572344i
\(591\) −18.7287 1.50155i −0.770397 0.0617655i
\(592\) −0.941760 + 5.34098i −0.0387061 + 0.219513i
\(593\) −15.7583 −0.647115 −0.323558 0.946209i \(-0.604879\pi\)
−0.323558 + 0.946209i \(0.604879\pi\)
\(594\) −5.38824 10.9270i −0.221082 0.448338i
\(595\) −11.0554 + 2.47650i −0.453225 + 0.101527i
\(596\) 11.4259 + 2.01470i 0.468024 + 0.0825253i
\(597\) −5.35008 + 7.76008i −0.218964 + 0.317599i
\(598\) −0.807488 + 2.21856i −0.0330206 + 0.0907235i
\(599\) 13.2291 + 15.7658i 0.540525 + 0.644173i 0.965305 0.261124i \(-0.0840931\pi\)
−0.424780 + 0.905296i \(0.639649\pi\)
\(600\) 1.52234 5.85114i 0.0621494 0.238872i
\(601\) 2.58497 + 7.10215i 0.105443 + 0.289703i 0.981183 0.193081i \(-0.0618480\pi\)
−0.875740 + 0.482784i \(0.839626\pi\)
\(602\) 5.17265 + 1.61840i 0.210821 + 0.0659610i
\(603\) 22.1373 + 12.3557i 0.901502 + 0.503164i
\(604\) −5.49931 9.52508i −0.223764 0.387570i
\(605\) 5.17863 + 4.34539i 0.210541 + 0.176665i
\(606\) 17.6626 12.5597i 0.717493 0.510201i
\(607\) −25.2819 + 4.45788i −1.02616 + 0.180940i −0.661299 0.750122i \(-0.729995\pi\)
−0.364861 + 0.931062i \(0.618884\pi\)
\(608\) −0.395794 2.24466i −0.0160516 0.0910330i
\(609\) −6.48663 + 7.21491i −0.262852 + 0.292363i
\(610\) −10.5242 8.83083i −0.426111 0.357550i
\(611\) 1.79348 1.03547i 0.0725566 0.0418906i
\(612\) −9.13043 5.09605i −0.369076 0.205996i
\(613\) −10.0628 + 17.4293i −0.406433 + 0.703962i −0.994487 0.104859i \(-0.966561\pi\)
0.588054 + 0.808821i \(0.299894\pi\)
\(614\) −8.32350 + 3.02951i −0.335909 + 0.122261i
\(615\) −3.24734 0.844889i −0.130945 0.0340692i
\(616\) 3.76553 4.92981i 0.151718 0.198628i
\(617\) 3.08423 8.47385i 0.124166 0.341145i −0.861999 0.506911i \(-0.830787\pi\)
0.986165 + 0.165766i \(0.0530097\pi\)
\(618\) 9.95081 + 6.86045i 0.400280 + 0.275968i
\(619\) −10.9095 1.92363i −0.438488 0.0773173i −0.0499538 0.998752i \(-0.515907\pi\)
−0.388534 + 0.921434i \(0.627019\pi\)
\(620\) 10.3155i 0.414282i
\(621\) 23.3729 + 15.6181i 0.937922 + 0.626733i
\(622\) 20.9184i 0.838752i
\(623\) 1.78292 + 38.8684i 0.0714312 + 1.55723i
\(624\) −0.753464 0.0604079i −0.0301627 0.00241825i
\(625\) −4.35792 1.58615i −0.174317 0.0634461i
\(626\) −9.69001 + 8.13089i −0.387291 + 0.324976i
\(627\) −6.49753 + 6.59262i −0.259486 + 0.263284i
\(628\) −4.97142 13.6589i −0.198381 0.545048i
\(629\) 9.45142 16.3703i 0.376853 0.652728i
\(630\) 3.88194 + 8.94545i 0.154660 + 0.356395i
\(631\) −8.40768 14.5625i −0.334704 0.579725i 0.648724 0.761024i \(-0.275303\pi\)
−0.983428 + 0.181299i \(0.941970\pi\)
\(632\) 3.39096 4.04119i 0.134885 0.160750i
\(633\) 16.7940 36.7088i 0.667503 1.45904i
\(634\) −0.815627 4.62565i −0.0323927 0.183708i
\(635\) −0.238818 1.35440i −0.00947720 0.0537479i
\(636\) 0.0192845 + 0.203395i 0.000764680 + 0.00806513i
\(637\) −0.777634 + 2.95423i −0.0308110 + 0.117051i
\(638\) −4.29902 + 2.48204i −0.170200 + 0.0982649i
\(639\) −0.977626 + 6.05774i −0.0386743 + 0.239641i
\(640\) −1.06397 0.614283i −0.0420571 0.0242817i
\(641\) 13.6635 + 37.5403i 0.539677 + 1.48275i 0.847233 + 0.531221i \(0.178267\pi\)
−0.307556 + 0.951530i \(0.599511\pi\)
\(642\) −1.80509 6.54610i −0.0712411 0.258354i
\(643\) 9.74558 + 11.6143i 0.384328 + 0.458025i 0.923175 0.384379i \(-0.125584\pi\)
−0.538847 + 0.842404i \(0.681140\pi\)
\(644\) −1.83696 + 14.1950i −0.0723865 + 0.559359i
\(645\) −3.93725 + 1.87091i −0.155029 + 0.0736670i
\(646\) −1.37952 + 7.82362i −0.0542763 + 0.307816i
\(647\) −39.1958 −1.54094 −0.770472 0.637473i \(-0.779980\pi\)
−0.770472 + 0.637473i \(0.779980\pi\)
\(648\) −2.83118 + 8.54309i −0.111219 + 0.335604i
\(649\) 28.2345i 1.10830i
\(650\) −0.264525 + 1.50020i −0.0103755 + 0.0588425i
\(651\) −23.7114 30.3028i −0.929324 1.18766i
\(652\) 3.68764 + 1.34219i 0.144419 + 0.0525642i
\(653\) −25.1406 29.9614i −0.983829 1.17248i −0.985013 0.172482i \(-0.944821\pi\)
0.00118396 0.999999i \(-0.499623\pi\)
\(654\) 24.4713 6.74795i 0.956902 0.263866i
\(655\) 20.2219 7.36018i 0.790136 0.287586i
\(656\) 0.788428 1.36560i 0.0307830 0.0533176i
\(657\) −19.4469 + 7.39976i −0.758695 + 0.288692i
\(658\) 9.23791 8.50254i 0.360131 0.331464i
\(659\) 8.02297 9.56140i 0.312531 0.372459i −0.586798 0.809734i \(-0.699612\pi\)
0.899328 + 0.437274i \(0.144056\pi\)
\(660\) 0.470939 + 4.96703i 0.0183313 + 0.193341i
\(661\) −27.8439 + 4.90963i −1.08300 + 0.190963i −0.686543 0.727090i \(-0.740873\pi\)
−0.396460 + 0.918052i \(0.629761\pi\)
\(662\) −10.2294 + 1.80372i −0.397578 + 0.0701037i
\(663\) 2.39576 + 1.09605i 0.0930437 + 0.0425669i
\(664\) 5.57911 6.64892i 0.216511 0.258028i
\(665\) 5.45127 5.01733i 0.211391 0.194564i
\(666\) −15.3682 5.34202i −0.595504 0.206999i
\(667\) 5.72689 9.91926i 0.221746 0.384075i
\(668\) 5.73871 2.08872i 0.222037 0.0808150i
\(669\) 8.08677 + 7.97013i 0.312653 + 0.308143i
\(670\) −6.67356 7.95324i −0.257822 0.307260i
\(671\) −24.6378 8.96744i −0.951133 0.346184i
\(672\) −4.53750 + 0.641141i −0.175038 + 0.0247326i
\(673\) −1.02565 + 5.81673i −0.0395358 + 0.224219i −0.998174 0.0604101i \(-0.980759\pi\)
0.958638 + 0.284629i \(0.0918703\pi\)
\(674\) 3.93836i 0.151700i
\(675\) 16.6016 + 7.30536i 0.638995 + 0.281183i
\(676\) −12.8095 −0.492675
\(677\) 6.20980 35.2175i 0.238662 1.35352i −0.596101 0.802910i \(-0.703284\pi\)
0.834763 0.550610i \(-0.185605\pi\)
\(678\) −6.35557 4.38177i −0.244084 0.168281i
\(679\) −5.18858 + 40.0942i −0.199119 + 1.53867i
\(680\) 2.75247 + 3.28027i 0.105553 + 0.125793i
\(681\) −10.1208 2.63322i −0.387831 0.100905i
\(682\) −6.73328 18.4995i −0.257831 0.708384i
\(683\) −37.1567 21.4524i −1.42176 0.820855i −0.425313 0.905046i \(-0.639836\pi\)
−0.996450 + 0.0841913i \(0.973169\pi\)
\(684\) 6.83714 0.0993366i 0.261425 0.00379823i
\(685\) 23.8956 13.7961i 0.913005 0.527123i
\(686\) −0.685416 + 18.5076i −0.0261693 + 0.706622i
\(687\) −28.0512 + 19.9469i −1.07022 + 0.761021i
\(688\) −0.355725 2.01741i −0.0135619 0.0769132i
\(689\) −0.00893894 0.0506953i −0.000340547 0.00193134i
\(690\) −6.67133 9.38186i −0.253973 0.357161i
\(691\) 22.9322 27.3296i 0.872383 1.03967i −0.126479 0.991969i \(-0.540368\pi\)
0.998862 0.0476960i \(-0.0151879\pi\)
\(692\) −12.3710 21.4272i −0.470275 0.814541i
\(693\) 12.8007 + 13.5086i 0.486259 + 0.513149i
\(694\) −13.8934 + 24.0641i −0.527388 + 0.913462i
\(695\) −7.43654 20.4317i −0.282084 0.775019i
\(696\) 3.54891 + 0.923350i 0.134521 + 0.0349995i
\(697\) −4.21021 + 3.53278i −0.159473 + 0.133814i
\(698\) 15.8068 + 5.75320i 0.598296 + 0.217762i
\(699\) 3.79123 5.49903i 0.143398 0.207992i
\(700\) 0.423185 + 9.22563i 0.0159949 + 0.348696i
\(701\) 22.7597i 0.859624i 0.902918 + 0.429812i \(0.141420\pi\)
−0.902918 + 0.429812i \(0.858580\pi\)
\(702\) 0.539042 2.20265i 0.0203448 0.0831335i
\(703\) 12.3614i 0.466221i
\(704\) −2.30905 0.407147i −0.0870255 0.0153449i
\(705\) −0.806999 + 10.0656i −0.0303933 + 0.379094i
\(706\) −0.577533 + 1.58676i −0.0217358 + 0.0597185i
\(707\) −20.0956 + 26.3090i −0.755772 + 0.989451i
\(708\) 14.6409 14.8551i 0.550238 0.558290i
\(709\) 42.5614 15.4911i 1.59843 0.581780i 0.619323 0.785136i \(-0.287407\pi\)
0.979105 + 0.203356i \(0.0651848\pi\)
\(710\) 1.25644 2.17622i 0.0471533 0.0816719i
\(711\) 10.3479 + 11.9745i 0.388078 + 0.449079i
\(712\) 12.7361 7.35317i 0.477304 0.275572i
\(713\) 34.7968 + 29.1980i 1.30315 + 1.09347i
\(714\) 15.6257 + 3.30922i 0.584777 + 0.123844i
\(715\) −0.218295 1.23801i −0.00816376 0.0462990i
\(716\) 18.1378 3.19818i 0.677840 0.119522i
\(717\) −1.49163 15.7323i −0.0557059 0.587534i
\(718\) 9.33366 + 7.83187i 0.348329 + 0.292283i
\(719\) −0.807602 1.39881i −0.0301185 0.0521667i 0.850573 0.525857i \(-0.176255\pi\)
−0.880692 + 0.473690i \(0.842922\pi\)
\(720\) 2.32785 2.85753i 0.0867540 0.106494i
\(721\) −17.6202 5.51294i −0.656210 0.205312i
\(722\) 4.72154 + 12.9723i 0.175717 + 0.482780i
\(723\) 47.1344 12.9973i 1.75295 0.483375i
\(724\) 3.57542 + 4.26102i 0.132879 + 0.158359i
\(725\) 2.52762 6.94459i 0.0938736 0.257916i
\(726\) −4.09047 8.60824i −0.151812 0.319482i
\(727\) −48.1472 8.48966i −1.78568 0.314864i −0.819569 0.572981i \(-0.805787\pi\)
−0.966114 + 0.258117i \(0.916898\pi\)
\(728\) 1.12671 0.252393i 0.0417585 0.00935429i
\(729\) −23.9487 12.4684i −0.886988 0.461792i
\(730\) 8.52099 0.315376
\(731\) −1.23986 + 7.03157i −0.0458577 + 0.260072i
\(732\) 8.31278 + 17.4939i 0.307249 + 0.646594i
\(733\) −0.0218471 + 0.0600243i −0.000806939 + 0.00221705i −0.940095 0.340911i \(-0.889264\pi\)
0.939288 + 0.343128i \(0.111487\pi\)
\(734\) 16.4269 13.7838i 0.606326 0.508768i
\(735\) −9.70725 11.2981i −0.358057 0.416737i
\(736\) 5.08367 1.85030i 0.187386 0.0682031i
\(737\) −17.1594 9.90701i −0.632076 0.364929i
\(738\) 3.66762 + 2.98779i 0.135007 + 0.109982i
\(739\) 11.3282 + 19.6211i 0.416715 + 0.721772i 0.995607 0.0936324i \(-0.0298478\pi\)
−0.578891 + 0.815405i \(0.696514\pi\)
\(740\) 5.10414 + 4.28288i 0.187632 + 0.157442i
\(741\) −1.71518 + 0.162621i −0.0630087 + 0.00597405i
\(742\) −0.120065 0.288064i −0.00440773 0.0105752i
\(743\) −28.1945 + 4.97145i −1.03436 + 0.182385i −0.664954 0.746885i \(-0.731549\pi\)
−0.369402 + 0.929270i \(0.620438\pi\)
\(744\) −6.05024 + 13.2247i −0.221812 + 0.484843i
\(745\) 9.16233 10.9192i 0.335682 0.400050i
\(746\) −17.0630 + 9.85132i −0.624720 + 0.360682i
\(747\) 17.0253 + 19.7015i 0.622925 + 0.720841i
\(748\) 7.07732 + 4.08609i 0.258773 + 0.149402i
\(749\) 5.59244 + 8.73580i 0.204343 + 0.319199i
\(750\) −12.8681 12.6825i −0.469878 0.463101i
\(751\) 33.1976 27.8561i 1.21140 1.01648i 0.212169 0.977233i \(-0.431947\pi\)
0.999229 0.0392509i \(-0.0124972\pi\)
\(752\) −4.45922 1.62303i −0.162611 0.0591856i
\(753\) 1.40555 17.5313i 0.0512210 0.638876i
\(754\) −0.909917 0.160443i −0.0331372 0.00584299i
\(755\) −13.5125 −0.491771
\(756\) 0.269934 13.7451i 0.00981739 0.499904i
\(757\) 24.6013 0.894149 0.447075 0.894497i \(-0.352466\pi\)
0.447075 + 0.894497i \(0.352466\pi\)
\(758\) −24.4556 4.31218i −0.888266 0.156625i
\(759\) −18.0880 12.4705i −0.656551 0.452651i
\(760\) −2.63138 0.957744i −0.0954501 0.0347410i
\(761\) −0.393164 + 0.329903i −0.0142522 + 0.0119590i −0.649886 0.760032i \(-0.725183\pi\)
0.635634 + 0.771991i \(0.280739\pi\)
\(762\) −0.488211 + 1.87644i −0.0176860 + 0.0679764i
\(763\) −32.6570 + 20.9062i −1.18226 + 0.756854i
\(764\) 7.92477 + 4.57537i 0.286708 + 0.165531i
\(765\) −11.0307 + 6.58408i −0.398816 + 0.238048i
\(766\) −8.38597 + 4.84164i −0.302997 + 0.174936i
\(767\) −3.37800 + 4.02575i −0.121973 + 0.145361i
\(768\) 1.00374 + 1.41156i 0.0362195 + 0.0509353i