Properties

Label 378.2.z.a.41.2
Level $378$
Weight $2$
Character 378.41
Analytic conductor $3.018$
Analytic rank $0$
Dimension $144$
CM no
Inner twists $4$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [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 41.2
Character \(\chi\) \(=\) 378.41
Dual form 378.2.z.a.83.2

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-0.984808 + 0.173648i) q^{2} +(-1.56441 - 0.743380i) q^{3} +(0.939693 - 0.342020i) q^{4} +(-0.941136 - 0.789707i) q^{5} +(1.66973 + 0.460429i) q^{6} +(2.62387 + 0.339554i) q^{7} +(-0.866025 + 0.500000i) q^{8} +(1.89477 + 2.32590i) q^{9} +O(q^{10})\) \(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} +(2.62387 + 0.339554i) 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} +(-2.64297 + 0.121235i) 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} +(-3.85240 - 2.48174i) 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} +(-2.20127 - 2.39166i) 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} +(4.22482 + 1.77507i) 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} +(6.76941 + 1.78189i) 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} +(-2.44212 + 1.01787i) 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} +(4.18187 + 6.74625i) 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} +(2.58314 + 1.97307i) 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} +(-3.34462 - 5.22454i) 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} +(-4.46888 - 1.01447i) 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} +(1.10195 + 0.344774i) 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} +(-6.97599 - 0.579328i) 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 \(\left(\mathbb{Z}/378\mathbb{Z}\right)^\times\).

\(n\) \(29\) \(325\)
\(\chi(n)\) \(e\left(\frac{17}{18}\right)\) \(-1\)

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 \(-0.366362\pi\)
−0.828501 + 0.559987i \(0.810806\pi\)
\(6\) 1.66973 + 0.460429i 0.681665 + 0.187969i
\(7\) 2.62387 + 0.339554i 0.991730 + 0.128339i
\(8\) −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 0.489385 0.872068i \(-0.337221\pi\)
−0.943800 + 0.330517i \(0.892777\pi\)
\(12\) −1.72432 0.163488i −0.497768 0.0471949i
\(13\) 0.429778 + 0.0757815i 0.119199 + 0.0210180i 0.232929 0.972494i \(-0.425169\pi\)
−0.113730 + 0.993512i \(0.536280\pi\)
\(14\) −2.64297 + 0.121235i −0.706364 + 0.0324014i
\(15\) 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 \(-0.694426\pi\)
0.996200 + 0.0870975i \(0.0277592\pi\)
\(18\) −2.26988 1.96155i −0.535015 0.462341i
\(19\) −1.97392 + 1.13964i −0.452849 + 0.261452i −0.709032 0.705176i \(-0.750868\pi\)
0.256184 + 0.966628i \(0.417535\pi\)
\(20\) −1.15447 0.420194i −0.258148 0.0939583i
\(21\) −3.85240 2.48174i −0.840663 0.541559i
\(22\) 1.79612 + 1.50712i 0.382934 + 0.321320i
\(23\) −1.85030 5.08367i −0.385815 1.06002i −0.968867 0.247583i \(-0.920364\pi\)
0.583052 0.812435i \(-0.301858\pi\)
\(24\) 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 −0.363849 0.931458i \(-0.618537\pi\)
−0.0233285 + 0.999728i \(0.507426\pi\)
\(30\) −1.20784 1.75193i −0.220521 0.319856i
\(31\) −2.87174 7.89005i −0.515780 1.41709i −0.875129 0.483891i \(-0.839223\pi\)
0.359348 0.933203i \(-0.382999\pi\)
\(32\) −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
\(35\) −2.20127 2.39166i −0.372083 0.404264i
\(36\) 2.57601 + 1.53759i 0.429335 + 0.256264i
\(37\) 2.71169 4.69678i 0.445799 0.772146i −0.552309 0.833640i \(-0.686253\pi\)
0.998107 + 0.0614933i \(0.0195863\pi\)
\(38\) 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 \(-0.905151\pi\)
0.998695 + 0.0510656i \(0.0162618\pi\)
\(42\) 4.22482 + 1.77507i 0.651904 + 0.273899i
\(43\) −1.56927 + 1.31677i −0.239311 + 0.200806i −0.754553 0.656239i \(-0.772146\pi\)
0.515242 + 0.857045i \(0.327702\pi\)
\(44\) −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 \(-0.276397\pi\)
0.00433921 + 0.999991i \(0.498619\pi\)
\(48\) −1.67624 + 0.436123i −0.241945 + 0.0629490i
\(49\) 6.76941 + 1.78189i 0.967058 + 0.254556i
\(50\) 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 \(-0.997421\pi\)
0.999967 0.00810130i \(-0.00257875\pi\)
\(54\) 2.09285 + 4.75605i 0.284801 + 0.647216i
\(55\) 2.88058i 0.388417i
\(56\) −2.44212 + 1.01787i −0.326342 + 0.136019i
\(57\) 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 −0.999602 0.0282033i \(-0.991021\pi\)
−0.201354 0.979519i \(-0.564534\pi\)
\(60\) 1.49371 + 1.51557i 0.192837 + 0.195659i
\(61\) −3.82461 + 10.5080i −0.489691 + 1.34542i 0.411269 + 0.911514i \(0.365086\pi\)
−0.900960 + 0.433902i \(0.857136\pi\)
\(62\) 4.19821 + 7.27151i 0.533173 + 0.923482i
\(63\) 4.18187 + 6.74625i 0.526866 + 0.849948i
\(64\) 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 −0.753814 0.657088i \(-0.771788\pi\)
0.933091 0.359641i \(-0.117101\pi\)
\(68\) 0.605240 3.43248i 0.0733961 0.416250i
\(69\) −0.884457 + 9.32843i −0.106476 + 1.12301i
\(70\) 2.58314 + 1.97307i 0.308744 + 0.235828i
\(71\) −1.77135 1.02269i −0.210220 0.121371i 0.391194 0.920308i \(-0.372062\pi\)
−0.601414 + 0.798938i \(0.705396\pi\)
\(72\) −2.80387 1.06691i −0.330440 0.125736i
\(73\) 6.00651 3.46786i 0.703009 0.405882i −0.105458 0.994424i \(-0.533631\pi\)
0.808467 + 0.588541i \(0.200298\pi\)
\(74\) −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
\(77\) −3.34462 5.22454i −0.381155 0.595391i
\(78\) 0.682723 + 0.324417i 0.0773031 + 0.0367330i
\(79\) −0.916064 5.19526i −0.103065 0.584512i −0.991975 0.126431i \(-0.959648\pi\)
0.888910 0.458081i \(-0.151463\pi\)
\(80\) −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 0.948614 + 0.316435i \(0.102486\pi\)
−0.783179 + 0.621797i \(0.786403\pi\)
\(84\) −4.46888 1.01447i −0.487594 0.110688i
\(85\) −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 0.932268 + 0.361768i \(0.117827\pi\)
−0.152834 + 0.988252i \(0.548840\pi\)
\(90\) 0.587217 + 3.63862i 0.0618981 + 0.383544i
\(91\) 1.10195 + 0.344774i 0.115516 + 0.0361422i
\(92\) −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 0.982047 + 0.188638i \(0.0604071\pi\)
0.0152411 + 0.999884i \(0.495148\pi\)
\(98\) −6.97599 0.579328i −0.704681 0.0585210i
\(99\) 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 \(-0.174991\pi\)
0.317331 + 0.948315i \(0.397213\pi\)
\(102\) 4.29967 4.23765i 0.425730 0.419590i
\(103\) 4.48548 5.34559i 0.441967 0.526716i −0.498368 0.866966i \(-0.666067\pi\)
0.940335 + 0.340249i \(0.110511\pi\)
\(104\) −0.410090 + 0.149260i −0.0402126 + 0.0146362i
\(105\) 1.66579 + 5.37792i 0.162564 + 0.524831i
\(106\) 0.0204830 + 0.116165i 0.00198948 + 0.0112829i
\(107\) 3.92045i 0.379004i −0.981880 0.189502i \(-0.939313\pi\)
0.981880 0.189502i \(-0.0606874\pi\)
\(108\) −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
\(112\) 2.22826 1.42648i 0.210551 0.134790i
\(113\) 2.86487 3.41422i 0.269504 0.321183i −0.614270 0.789096i \(-0.710549\pi\)
0.883775 + 0.467913i \(0.154994\pi\)
\(114\) −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
\(119\) 5.59761 7.32835i 0.513132 0.671789i
\(120\) −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
\(126\) −5.28981 5.91759i −0.471254 0.527181i
\(127\) 0.559717 + 0.969458i 0.0496668 + 0.0860255i 0.889790 0.456370i \(-0.150851\pi\)
−0.840123 + 0.542396i \(0.817517\pi\)
\(128\) −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 \(-0.888469\pi\)
−0.498857 + 0.866684i \(0.666247\pi\)
\(132\) 2.30512 + 3.34348i 0.200635 + 0.291012i
\(133\) −5.56629 + 2.32003i −0.482658 + 0.201172i
\(134\) 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 0.895845 0.444368i \(-0.146572\pi\)
0.993801 + 0.111172i \(0.0354605\pi\)
\(138\) −0.748845 9.34030i −0.0637459 0.795099i
\(139\) −6.05302 16.6305i −0.513411 1.41058i −0.877660 0.479283i \(-0.840897\pi\)
0.364250 0.931301i \(-0.381325\pi\)
\(140\) −2.88651 1.49454i −0.243955 0.126312i
\(141\) −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
\(147\) −9.26552 7.81986i −0.764207 0.644971i
\(148\) 0.941760 5.34098i 0.0774122 0.439026i
\(149\) 11.4259 + 2.01470i 0.936049 + 0.165051i 0.620809 0.783962i \(-0.286804\pi\)
0.315239 + 0.949012i \(0.397915\pi\)
\(150\) 0.570675 6.01895i 0.0465954 0.491445i
\(151\) −8.42543 + 7.06977i −0.685652 + 0.575330i −0.917652 0.397386i \(-0.869918\pi\)
0.232000 + 0.972716i \(0.425473\pi\)
\(152\) 1.13964 1.97392i 0.0924373 0.160106i
\(153\) 10.3227 1.66593i 0.834545 0.134683i
\(154\) 4.20104 + 4.56438i 0.338529 + 0.367808i
\(155\) −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 \(-0.580820\pi\)
0.996852 + 0.0792859i \(0.0252640\pi\)
\(158\) 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 \(-0.353708\pi\)
−0.805592 + 0.592470i \(0.798153\pi\)
\(168\) 4.57714 + 0.223046i 0.353134 + 0.0172084i
\(169\) −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 0.502178 0.864764i \(-0.332532\pi\)
0.938829 0.344384i \(-0.111912\pi\)
\(174\) −3.65069 0.346133i −0.276758 0.0262403i
\(175\) −0.423185 9.22563i −0.0319898 0.697392i
\(176\) −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 0.958797 0.284091i \(-0.0916918\pi\)
0.233369 + 0.972388i \(0.425025\pi\)
\(180\) −1.21014 3.48137i −0.0901981 0.259486i
\(181\) −4.81715 + 2.78118i −0.358056 + 0.206724i −0.668228 0.743957i \(-0.732947\pi\)
0.310172 + 0.950681i \(0.399613\pi\)
\(182\) −1.14508 0.148184i −0.0848790 0.0109842i
\(183\) 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
\(189\) −1.52714 13.6626i −0.111083 0.993811i
\(190\) −2.80026 −0.203152
\(191\) 9.01172 1.58901i 0.652065 0.114977i 0.162176 0.986762i \(-0.448149\pi\)
0.489888 + 0.871785i \(0.337038\pi\)
\(192\) −1.42599 + 0.983131i −0.102912 + 0.0709514i
\(193\) −25.3984 + 9.24425i −1.82821 + 0.665416i −0.834840 + 0.550492i \(0.814440\pi\)
−0.993374 + 0.114923i \(0.963338\pi\)
\(194\) −11.7056 9.82215i −0.840412 0.705189i
\(195\) 0.233830 + 0.898730i 0.0167449 + 0.0643594i
\(196\) 6.97060 0.640840i 0.497900 0.0457743i
\(197\) −9.39441 + 5.42386i −0.669324 + 0.386434i −0.795820 0.605533i \(-0.792960\pi\)
0.126497 + 0.991967i \(0.459627\pi\)
\(198\) −0.102186 + 7.03326i −0.00726204 + 0.499832i
\(199\) 4.71281 + 2.72094i 0.334082 + 0.192882i 0.657652 0.753322i \(-0.271550\pi\)
−0.323570 + 0.946204i \(0.604883\pi\)
\(200\) 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
\(203\) −5.59564 + 0.256676i −0.392737 + 0.0180151i
\(204\) −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
\(210\) −2.57435 5.00695i −0.177647 0.345513i
\(211\) 17.8538 + 14.9811i 1.22911 + 1.03134i 0.998297 + 0.0583429i \(0.0185817\pi\)
0.230809 + 0.972999i \(0.425863\pi\)
\(212\) −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 \(-0.959328\pi\)
0.841708 + 0.539933i \(0.181551\pi\)
\(224\) −1.94671 + 1.79174i −0.130070 + 0.119716i
\(225\) 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 \(-0.658007\pi\)
0.783245 + 0.621713i \(0.213563\pi\)
\(228\) 3.58999 1.64240i 0.237753 0.108770i
\(229\) 19.5706 + 3.45082i 1.29326 + 0.228037i 0.777602 0.628757i \(-0.216436\pi\)
0.515659 + 0.856794i \(0.327547\pi\)
\(230\) 1.15414 6.54548i 0.0761020 0.431596i
\(231\) 1.34855 + 10.6597i 0.0887279 + 0.701354i
\(232\) 1.62185 1.36090i 0.106480 0.0893472i
\(233\) 3.33964 + 1.92814i 0.218787 + 0.126317i 0.605389 0.795930i \(-0.293018\pi\)
−0.386601 + 0.922247i \(0.626351\pi\)
\(234\) −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
\(238\) −4.24001 + 8.18903i −0.274839 + 0.530816i
\(239\) 3.12052 + 8.57356i 0.201850 + 0.554578i 0.998774 0.0495016i \(-0.0157633\pi\)
−0.796924 + 0.604079i \(0.793541\pi\)
\(240\) 1.92198 + 0.913291i 0.124064 + 0.0589527i
\(241\) −27.7998 + 4.90186i −1.79074 + 0.315757i −0.967678 0.252188i \(-0.918850\pi\)
−0.823066 + 0.567945i \(0.807739\pi\)
\(242\) 5.50254i 0.353716i
\(243\) 9.39895 12.4362i 0.602943 0.797784i
\(244\) 11.1824i 0.715881i
\(245\) −4.96376 7.02285i −0.317123 0.448673i
\(246\) 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 \(-0.270505\pi\)
−0.980584 + 0.196101i \(0.937172\pi\)
\(252\) 6.23703 + 4.90912i 0.392896 + 0.309246i
\(253\) −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 0.836252 + 0.548346i \(0.184742\pi\)
−0.973365 + 0.229261i \(0.926369\pi\)
\(258\) −3.22654 + 1.47612i −0.200876 + 0.0918994i
\(259\) 8.70994 11.4030i 0.541209 0.708547i
\(260\) −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 0.154542 + 0.987986i \(0.450610\pi\)
−0.753451 + 0.657504i \(0.771612\pi\)
\(264\) −2.85068 2.89240i −0.175447 0.178015i
\(265\) −0.0931513 + 0.111013i −0.00572224 + 0.00681950i
\(266\) 5.07885 3.25136i 0.311405 0.199353i
\(267\) −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 \(-0.628438\pi\)
−0.392641 + 0.919692i \(0.628438\pi\)
\(270\) 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
\(273\) −1.46761 1.35854i −0.0888237 0.0822224i
\(274\) −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 −0.373035 0.927817i \(-0.621683\pi\)
−0.882151 + 0.470967i \(0.843905\pi\)
\(278\) 8.84893 + 15.3268i 0.530723 + 0.919240i
\(279\) 12.9102 21.6292i 0.772913 1.29491i
\(280\) 3.10219 + 0.970599i 0.185391 + 0.0580044i
\(281\) −6.37582 7.59841i −0.380350 0.453283i 0.541575 0.840653i \(-0.317828\pi\)
−0.921925 + 0.387369i \(0.873384\pi\)
\(282\) 6.69842 + 4.76317i 0.398885 + 0.283643i
\(283\) 7.82006 + 1.37889i 0.464855 + 0.0819664i 0.401170 0.916004i \(-0.368604\pi\)
0.0636847 + 0.997970i \(0.479715\pi\)
\(284\) −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
\(287\) 1.24576 3.98164i 0.0735348 0.235029i
\(288\) −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 \(-0.491507\pi\)
0.662995 + 0.748624i \(0.269285\pi\)
\(294\) 10.4827 + 6.09211i 0.611361 + 0.355299i
\(295\) 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
\(301\) −4.56468 + 2.92219i −0.263104 + 0.168432i
\(302\) 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 \(-0.414674\pi\)
−0.702667 + 0.711519i \(0.748007\pi\)
\(308\) −4.92981 3.76553i −0.280902 0.214561i
\(309\) −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 0.689918 + 0.723887i \(0.257647\pi\)
−0.895895 + 0.444266i \(0.853465\pi\)
\(312\) 0.752507 + 0.0713474i 0.0426023 + 0.00403925i
\(313\) −8.13089 9.69001i −0.459585 0.547712i 0.485628 0.874165i \(-0.338591\pi\)
−0.945213 + 0.326453i \(0.894146\pi\)
\(314\) −7.26772 + 12.5881i −0.410141 + 0.710386i
\(315\) 1.39185 9.65160i 0.0784221 0.543806i
\(316\) −2.63770 4.56863i −0.148382 0.257006i
\(317\) 1.60647 4.41375i 0.0902285 0.247901i −0.886368 0.462982i \(-0.846779\pi\)
0.976596 + 0.215081i \(0.0690017\pi\)
\(318\) 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
\(322\) 5.50662 + 13.2117i 0.306872 + 0.736258i
\(323\) 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
\(329\) 11.1493 + 5.77276i 0.614682 + 0.318262i
\(330\) −1.32630 + 4.80979i −0.0730105 + 0.264770i
\(331\) 9.76080 + 3.55264i 0.536502 + 0.195271i 0.596039 0.802955i \(-0.296740\pi\)
−0.0595370 + 0.998226i \(0.518962\pi\)
\(332\) 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
\(336\) −4.54634 + 0.575155i −0.248023 + 0.0313773i
\(337\) −0.683890 + 3.87853i −0.0372538 + 0.211277i −0.997752 0.0670077i \(-0.978655\pi\)
0.960499 + 0.278285i \(0.0897659\pi\)
\(338\) 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
\(343\) 17.1570 + 6.97404i 0.926391 + 0.376563i
\(344\) 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 0.881046 + 0.473030i \(0.156840\pi\)
−0.370862 + 0.928688i \(0.620938\pi\)
\(348\) 3.65533 0.293061i 0.195946 0.0157097i
\(349\) 16.5657 2.92098i 0.886740 0.156356i 0.288316 0.957535i \(-0.406905\pi\)
0.598425 + 0.801179i \(0.295794\pi\)
\(350\) 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 \(-0.0698644\pi\)
−0.991616 + 0.129218i \(0.958753\pi\)
\(354\) −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
\(357\) −14.2047 + 7.30341i −0.751793 + 0.386538i
\(358\) −17.3069 6.29918i −0.914696 0.332922i
\(359\) −10.5518 + 6.09211i −0.556905 + 0.321529i −0.751902 0.659274i \(-0.770864\pi\)
0.194997 + 0.980804i \(0.437530\pi\)
\(360\) 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
\(364\) 1.15342 0.0529079i 0.0604554 0.00277313i
\(365\) −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 \(-0.0331474\pi\)
−0.275076 + 0.961423i \(0.588703\pi\)
\(368\) −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
\(371\) 0.0400527 0.309503i 0.00207943 0.0160686i
\(372\) 3.66187 + 14.0744i 0.189859 + 0.729726i
\(373\) 15.0931 + 12.6646i 0.781491 + 0.655749i 0.943624 0.331020i \(-0.107393\pi\)
−0.162133 + 0.986769i \(0.551837\pi\)
\(374\) 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
\(378\) 3.87644 + 13.1899i 0.199382 + 0.678415i
\(379\) 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 \(-0.357353\pi\)
−0.812323 + 0.583208i \(0.801797\pi\)
\(384\) 1.23361 1.21582i 0.0629523 0.0620444i
\(385\) −0.978113 + 7.55827i −0.0498492 + 0.385205i
\(386\) 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 0.980865 + 0.194689i \(0.0623698\pi\)
0.0214059 + 0.999771i \(0.493186\pi\)
\(390\) −0.386341 0.844472i −0.0195631 0.0427615i
\(391\) −18.5695 3.27430i −0.939099 0.165589i
\(392\) −6.75342 + 1.84154i −0.341099 + 0.0930117i
\(393\) 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 \(-0.740432\pi\)
0.287732 + 0.957711i \(0.407099\pi\)
\(398\) −5.11369 1.86123i −0.256326 0.0932952i
\(399\) 10.4326 + 0.508387i 0.522285 + 0.0254512i
\(400\) −2.67397 2.24373i −0.133699 0.112187i
\(401\) −11.1932 30.7530i −0.558961 1.53573i −0.821148 0.570715i \(-0.806666\pi\)
0.262187 0.965017i \(-0.415556\pi\)
\(402\) 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 \(-0.0555518\pi\)
−0.866020 + 0.500010i \(0.833330\pi\)
\(410\) 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
\(413\) −21.5762 23.4423i −1.06169 1.15352i
\(414\) −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 −0.464759 0.885437i \(-0.653859\pi\)
0.739568 0.673082i \(-0.235030\pi\)
\(420\) 3.40469 + 4.48386i 0.166132 + 0.218790i
\(421\) 7.36408 6.17920i 0.358903 0.301156i −0.445450 0.895307i \(-0.646956\pi\)
0.804353 + 0.594151i \(0.202512\pi\)
\(422\) −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
\(427\) −13.6033 + 26.2731i −0.658312 + 1.27144i
\(428\) −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 \(0.0139780\pi\)
−0.999036 + 0.0438989i \(0.986022\pi\)
\(432\) −4.19048 3.07243i −0.201615 0.147822i
\(433\) 32.5239i 1.56300i −0.623906 0.781499i \(-0.714455\pi\)
0.623906 0.781499i \(-0.285545\pi\)
\(434\) 8.54648 + 20.5050i 0.410244 + 0.984272i
\(435\) −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 −0.355257 0.934768i \(-0.615607\pi\)
0.873001 0.487719i \(-0.162171\pi\)
\(440\) −1.44029 2.49465i −0.0686631 0.118928i
\(441\) 8.68197 + 19.1213i 0.413427 + 0.910537i
\(442\) −0.760537 + 1.31729i −0.0361751 + 0.0626570i
\(443\) −22.8370 27.2161i −1.08502 1.29307i −0.953379 0.301777i \(-0.902420\pi\)
−0.131640 0.991298i \(-0.542024\pi\)
\(444\) −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
\(448\) 1.60600 2.10256i 0.0758763 0.0993367i
\(449\) −5.81350 3.35643i −0.274356 0.158400i 0.356509 0.934292i \(-0.383967\pi\)
−0.630866 + 0.775892i \(0.717300\pi\)
\(450\) −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
\(455\) −0.764816 1.19470i −0.0358551 0.0560083i
\(456\) −3.25025 + 2.24084i −0.152207 + 0.104937i
\(457\) 0.292432 + 1.65846i 0.0136794 + 0.0775796i 0.990883 0.134724i \(-0.0430147\pi\)
−0.977204 + 0.212303i \(0.931904\pi\)
\(458\) −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 \(-0.0469358\pi\)
−0.979745 + 0.200250i \(0.935825\pi\)
\(462\) −3.17909 10.2635i −0.147905 0.477503i
\(463\) −0.00916975 + 0.00333751i −0.000426154 + 0.000155107i −0.342233 0.939615i \(-0.611183\pi\)
0.341807 + 0.939770i \(0.388961\pi\)
\(464\) −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 \(-0.102472\pi\)
−0.748320 + 0.663338i \(0.769139\pi\)
\(468\) 0.990593 + 0.856035i 0.0457902 + 0.0395702i
\(469\) 6.67626 21.3383i 0.308281 0.985313i
\(470\) 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
\(476\) 2.75359 8.80089i 0.126210 0.403388i
\(477\) 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 \(-0.136665\pi\)
0.428939 + 0.903334i \(0.358888\pi\)
\(480\) −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
\(483\) −5.48821 + 24.1763i −0.249722 + 1.10006i
\(484\) −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
\(490\) 6.10785 + 6.05421i 0.275925 + 0.273501i
\(491\) −4.22823 + 5.03901i −0.190818 + 0.227407i −0.852968 0.521964i \(-0.825200\pi\)
0.662150 + 0.749371i \(0.269644\pi\)
\(492\) −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
\(497\) −4.30053 3.28487i −0.192905 0.147347i
\(498\) −1.41900 + 14.9663i −0.0635870 + 0.670656i
\(499\) 5.69767 32.3131i 0.255063 1.44653i −0.540848 0.841120i \(-0.681897\pi\)
0.795911 0.605413i \(-0.206992\pi\)
\(500\) −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 −0.198087 0.980185i \(-0.563473\pi\)
0.947908 0.318544i \(-0.103194\pi\)
\(504\) −6.99473 3.75149i −0.311570 0.167105i
\(505\) −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 \(-0.625741\pi\)
0.298484 + 0.954415i \(0.403519\pi\)
\(510\) −7.39307 + 0.592729i −0.327371 + 0.0262465i
\(511\) 16.9378 7.05968i 0.749286 0.312302i
\(512\) 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
\(518\) −6.59751 + 12.7422i −0.289878 + 0.559861i
\(519\) −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 −0.935316 0.353813i \(-0.884885\pi\)
0.161247 0.986914i \(-0.448449\pi\)
\(522\) 5.45387 + 3.25534i 0.238710 + 0.142482i
\(523\) −0.666516 0.384813i −0.0291447 0.0168267i 0.485357 0.874316i \(-0.338690\pi\)
−0.514502 + 0.857489i \(0.672023\pi\)
\(524\) −13.4181 + 11.2592i −0.586174 + 0.491858i
\(525\) −6.19611 + 14.7473i −0.270420 + 0.643624i
\(526\) 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
\(532\) −4.43710 + 4.08389i −0.192373 + 0.177059i
\(533\) 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
\(546\) 1.68122 + 1.08305i 0.0719496 + 0.0463503i
\(547\) 30.8451 + 11.2267i 1.31884 + 0.480019i 0.903087 0.429458i \(-0.141295\pi\)
0.415754 + 0.909477i \(0.363518\pi\)
\(548\) 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
\(553\) −0.639562 13.9427i −0.0271970 0.592906i
\(554\) 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 0.858247 0.513237i \(-0.171554\pi\)
−0.0153525 + 0.999882i \(0.504887\pi\)
\(558\) −8.95818 + 23.5425i −0.379230 + 0.996633i
\(559\) −0.774225 + 0.446999i −0.0327462 + 0.0189061i
\(560\) −3.22360 0.417165i −0.136222 0.0176284i
\(561\) 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 \(-0.744765\pi\)
−0.0707626 + 0.997493i \(0.522543\pi\)
\(564\) −7.42378 3.52764i −0.312597 0.148540i
\(565\) −5.39247 + 0.950837i −0.226863 + 0.0400020i
\(566\) −7.94070 −0.333773
\(567\) −7.76745 + 22.5093i −0.326202 + 0.945300i
\(568\) 2.04537 0.0858220
\(569\) −13.7869 + 2.43100i −0.577976 + 0.101913i −0.454992 0.890496i \(-0.650358\pi\)
−0.122985 + 0.992409i \(0.539247\pi\)
\(570\) 4.38075 + 2.08165i 0.183490 + 0.0871908i
\(571\) −25.4729 + 9.27136i −1.06601 + 0.387994i −0.814682 0.579909i \(-0.803088\pi\)
−0.251324 + 0.967903i \(0.580866\pi\)
\(572\) −0.783842 0.657721i −0.0327741 0.0275007i
\(573\) −15.2793 4.21326i −0.638301 0.176012i
\(574\) −0.535429 + 4.13747i −0.0223484 + 0.172695i
\(575\) −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 \(-0.526797\pi\)
−0.905002 + 0.425408i \(0.860131\pi\)
\(578\) −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
\(581\) 1.05226 + 22.9398i 0.0436553 + 0.951704i
\(582\) 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 \(-0.760383\pi\)
−0.998507 + 0.0546196i \(0.982605\pi\)
\(588\) −11.3813 4.17927i −0.469356 0.172350i
\(589\) 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 \(-0.395121\pi\)
0.323558 + 0.946209i \(0.395121\pi\)
\(594\) 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 −0.424780 0.905296i \(-0.639649\pi\)
0.965305 + 0.261124i \(0.0840931\pi\)
\(600\) −1.52234 5.85114i −0.0621494 0.238872i
\(601\) −2.58497 + 7.10215i −0.105443 + 0.289703i −0.981183 0.193081i \(-0.938152\pi\)
0.875740 + 0.482784i \(0.160374\pi\)
\(602\) 3.98790 3.67045i 0.162535 0.149596i
\(603\) 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 \(-0.270005\pi\)
0.364861 + 0.931062i \(0.381116\pi\)
\(608\) 0.395794 2.24466i 0.0160516 0.0910330i
\(609\) 8.94470 + 3.75814i 0.362458 + 0.152288i
\(610\) −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 0.588054 0.808821i \(-0.299894\pi\)
−0.994487 + 0.104859i \(0.966561\pi\)
\(614\) 8.32350 + 3.02951i 0.335909 + 0.122261i
\(615\) 3.24734 0.844889i 0.130945 0.0340692i
\(616\) 5.50879 + 2.85227i 0.221956 + 0.114921i
\(617\) 3.08423 + 8.47385i 0.124166 + 0.341145i 0.986165 0.165766i \(-0.0530097\pi\)
−0.861999 + 0.506911i \(0.830787\pi\)
\(618\) 9.95081 6.86045i 0.400280 0.275968i
\(619\) 10.9095 1.92363i 0.438488 0.0773173i 0.0499538 0.998752i \(-0.484093\pi\)
0.388534 + 0.921434i \(0.372981\pi\)
\(620\) 10.3155i 0.414282i
\(621\) −23.3729 + 15.6181i −0.937922 + 0.626733i
\(622\) 20.9184i 0.838752i
\(623\) 14.9692 + 35.9146i 0.599728 + 1.43889i
\(624\) −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
\(630\) 0.305273 + 9.74666i 0.0121624 + 0.388316i
\(631\) −8.40768 + 14.5625i −0.334704 + 0.579725i −0.983428 0.181299i \(-0.941970\pi\)
0.648724 + 0.761024i \(0.275303\pi\)
\(632\) 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
\(637\) 2.77431 + 1.27882i 0.109922 + 0.0506685i
\(638\) −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 −0.307556 0.951530i \(-0.599511\pi\)
0.847233 0.531221i \(-0.178267\pi\)
\(642\) 1.80509 6.54610i 0.0712411 0.258354i
\(643\) −9.74558 + 11.6143i −0.384328 + 0.458025i −0.923175 0.384379i \(-0.874416\pi\)
0.538847 + 0.842404i \(0.318860\pi\)
\(644\) −7.71714 12.0547i −0.304098 0.475023i
\(645\) −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 \(-0.220020\pi\)
0.770472 + 0.637473i \(0.220020\pi\)
\(648\) −2.83118 8.54309i −0.111219 0.335604i
\(649\) 28.2345i 1.10830i
\(650\) 0.264525 + 1.50020i 0.0103755 + 0.0588425i
\(651\) −8.51791 + 37.5225i −0.333843 + 1.47062i
\(652\) 3.68764 1.34219i 0.144419 0.0525642i
\(653\) −25.1406 + 29.9614i −0.983829 + 1.17248i 0.00118396 + 0.999999i \(0.499623\pi\)
−0.985013 + 0.172482i \(0.944821\pi\)
\(654\) −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
\(658\) −11.9824 3.74900i −0.467122 0.146151i
\(659\) 8.02297 + 9.56140i 0.312531 + 0.372459i 0.899328 0.437274i \(-0.144056\pi\)
−0.586798 + 0.809734i \(0.699612\pi\)
\(660\) 0.470939 4.96703i 0.0183313 0.193341i
\(661\) 27.8439 + 4.90963i 1.08300 + 0.190963i 0.686543 0.727090i \(-0.259127\pi\)
0.396460 + 0.918052i \(0.370239\pi\)
\(662\) −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
\(665\) 7.07077 + 2.21228i 0.274193 + 0.0857883i
\(666\) −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
\(672\) 4.37740 1.35588i 0.168862 0.0523042i
\(673\) −1.02565 5.81673i −0.0395358 0.224219i 0.958638 0.284629i \(-0.0918703\pi\)
−0.998174 + 0.0604101i \(0.980759\pi\)
\(674\) 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 −0.834763 0.550610i \(-0.814395\pi\)
0.596101 0.802910i \(-0.296716\pi\)
\(678\) 6.35557 4.38177i 0.244084 0.168281i
\(679\) 21.7974 + 34.0491i 0.836506 + 1.30668i
\(680\) 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 −0.996450 0.0841913i \(-0.973169\pi\)
−0.425313 + 0.905046i \(0.639836\pi\)
\(684\) −6.83714 0.0993366i −0.261425 0.00379823i
\(685\) −23.8956 13.7961i −0.913005 0.527123i
\(686\) −18.1074 3.88881i −0.691343 0.148475i
\(687\) −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 −0.998862 0.0476960i \(-0.984812\pi\)
0.126479 0.991969i \(-0.459632\pi\)
\(692\) 12.3710 21.4272i 0.470275 0.814541i
\(693\) 5.81448 17.6786i 0.220874 0.671554i
\(694\) −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
\(700\) −3.55301 8.52452i −0.134291 0.322196i
\(701\) 22.7597i 0.859624i −0.902918 0.429812i \(-0.858580\pi\)
0.902918 0.429812i \(-0.141420\pi\)
\(702\) 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
\(707\) 29.3989 + 15.2218i 1.10566 + 0.572473i
\(708\) 14.6409 + 14.8551i 0.550238 + 0.558290i
\(709\) 42.5614 + 15.4911i 1.59843 + 0.581780i 0.979105 0.203356i \(-0.0651848\pi\)
0.619323 + 0.785136i \(0.287407\pi\)
\(710\) −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
\(714\) 12.7207 9.65908i 0.476060 0.361482i
\(715\) −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 \(-0.823745\pi\)
0.880692 + 0.473690i \(0.157078\pi\)
\(720\) −2.32785 2.85753i −0.0867540 0.106494i
\(721\) 13.5844 12.5031i 0.505911 0.465639i
\(722\) 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 \(-0.194213\pi\)
0.966114 + 0.258117i \(0.0831020\pi\)
\(728\) −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 \(-0.110736\pi\)
−0.939288 + 0.343128i \(0.888513\pi\)
\(734\) −16.4269 13.7838i −0.606326 0.508768i
\(735\) 2.54472 + 14.6766i 0.0938634 + 0.541354i
\(736\) 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 −0.578891 0.815405i \(-0.696514\pi\)
0.995607 + 0.0936324i \(0.0298478\pi\)
\(740\) −5.10414 + 4.28288i −0.187632 + 0.157442i
\(741\) 1.71518 + 0.162621i 0.0630087 + 0.00597405i
\(742\) 0.0143005 + 0.311756i 0.000524987 + 0.0114449i
\(743\) −28.1945 4.97145i −1.03436 0.182385i −0.369402 0.929270i \(-0.620438\pi\)
−0.664954 + 0.746885i \(0.731549\pi\)
\(744\) −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
\(749\) 1.33121 10.2868i 0.0486412 0.375870i
\(750\) −12.8681 + 12.6825i −0.469878 + 0.463101i
\(751\) 33.1976 + 27.8561i 1.21140 + 1.01648i 0.999229 + 0.0392509i \(0.0124972\pi\)
0.212169 + 0.977233i \(0.431947\pi\)
\(752\) 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
\(756\) −6.10794 12.3164i −0.222144 0.447942i
\(757\) 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 \(-0.274817\pi\)
−0.635634 + 0.771991i \(0.719261\pi\)
\(762\) 0.488211 + 1.87644i 0.0176860 + 0.0679764i
\(763\) −38.4549 4.97644i −1.39216 0.180159i
\(764\) 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
\(769\)