Properties

Label 273.2.bf.b.152.13
Level $273$
Weight $2$
Character 273.152
Analytic conductor $2.180$
Analytic rank $0$
Dimension $64$
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] = [273,2,Mod(152,273)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(273, base_ring=CyclotomicField(6))
 
chi = DirichletCharacter(H, H._module([3, 5, 4]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("273.152");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 273 = 3 \cdot 7 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 273.bf (of order \(6\), degree \(2\), 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: \(2.17991597518\)
Analytic rank: \(0\)
Dimension: \(64\)
Relative dimension: \(32\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 152.13
Character \(\chi\) \(=\) 273.152
Dual form 273.2.bf.b.185.13

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-0.730177 + 0.421568i) q^{2} +(-1.64300 + 0.548211i) q^{3} +(-0.644561 + 1.11641i) q^{4} +(-1.06280 + 1.84082i) q^{5} +(0.968576 - 1.09293i) q^{6} +(-0.110845 + 2.64343i) q^{7} -2.77318i q^{8} +(2.39893 - 1.80143i) q^{9} +O(q^{10})\) \(q+(-0.730177 + 0.421568i) q^{2} +(-1.64300 + 0.548211i) q^{3} +(-0.644561 + 1.11641i) q^{4} +(-1.06280 + 1.84082i) q^{5} +(0.968576 - 1.09293i) q^{6} +(-0.110845 + 2.64343i) q^{7} -2.77318i q^{8} +(2.39893 - 1.80143i) q^{9} -1.79216i q^{10} +0.987856i q^{11} +(0.446987 - 2.18763i) q^{12} +(-3.08300 - 1.86952i) q^{13} +(-1.03345 - 1.97690i) q^{14} +(0.737024 - 3.60711i) q^{15} +(-0.120042 - 0.207918i) q^{16} +(-0.920525 + 1.59440i) q^{17} +(-0.992218 + 2.32667i) q^{18} -7.15770i q^{19} +(-1.37008 - 2.37304i) q^{20} +(-1.26704 - 4.40393i) q^{21} +(-0.416448 - 0.721310i) q^{22} +(-1.40903 + 0.813502i) q^{23} +(1.52029 + 4.55634i) q^{24} +(0.240923 + 0.417291i) q^{25} +(3.03926 + 0.0653890i) q^{26} +(-2.95389 + 4.27487i) q^{27} +(-2.87971 - 1.82760i) q^{28} +(0.488355 + 0.281952i) q^{29} +(0.982484 + 2.94453i) q^{30} +(-4.23375 + 2.44435i) q^{31} +(4.97858 + 2.87439i) q^{32} +(-0.541554 - 1.62305i) q^{33} -1.55226i q^{34} +(-4.74827 - 3.01347i) q^{35} +(0.464880 + 3.83933i) q^{36} +(-1.64578 - 2.85058i) q^{37} +(3.01745 + 5.22638i) q^{38} +(6.09028 + 1.38150i) q^{39} +(5.10491 + 2.94732i) q^{40} +(4.93559 - 8.54870i) q^{41} +(2.78172 + 2.68151i) q^{42} +(-0.214038 - 0.370726i) q^{43} +(-1.10286 - 0.636734i) q^{44} +(0.766526 + 6.33055i) q^{45} +(0.685893 - 1.18800i) q^{46} +(-6.40449 + 11.0929i) q^{47} +(0.311212 + 0.275803i) q^{48} +(-6.97543 - 0.586021i) q^{49} +(-0.351833 - 0.203131i) q^{50} +(0.638362 - 3.12424i) q^{51} +(4.07434 - 2.23688i) q^{52} +(6.59657 - 3.80853i) q^{53} +(0.354713 - 4.36668i) q^{54} +(-1.81847 - 1.04989i) q^{55} +(7.33069 + 0.307392i) q^{56} +(3.92393 + 11.7601i) q^{57} -0.475447 q^{58} +(-5.96320 + 10.3286i) q^{59} +(3.55197 + 3.14783i) q^{60} +2.21713i q^{61} +(2.06092 - 3.56962i) q^{62} +(4.49603 + 6.54108i) q^{63} -4.36683 q^{64} +(6.71806 - 3.68832i) q^{65} +(1.07966 + 0.956814i) q^{66} -2.45385 q^{67} +(-1.18667 - 2.05537i) q^{68} +(1.86907 - 2.10903i) q^{69} +(4.73746 + 0.198652i) q^{70} +(2.48976 - 1.43746i) q^{71} +(-4.99567 - 6.65265i) q^{72} +(-8.31343 + 4.79976i) q^{73} +(2.40342 + 1.38762i) q^{74} +(-0.624601 - 0.553534i) q^{75} +(7.99095 + 4.61358i) q^{76} +(-2.61133 - 0.109499i) q^{77} +(-5.02937 + 1.55872i) q^{78} +(-7.27556 + 12.6016i) q^{79} +0.510320 q^{80} +(2.50972 - 8.64299i) q^{81} +8.32274i q^{82} -14.4620 q^{83} +(5.73329 + 1.42407i) q^{84} +(-1.95666 - 3.38904i) q^{85} +(0.312572 + 0.180463i) q^{86} +(-0.956938 - 0.195526i) q^{87} +2.73950 q^{88} +(-2.59362 - 4.49228i) q^{89} +(-3.22845 - 4.29927i) q^{90} +(5.28368 - 7.94246i) q^{91} -2.09741i q^{92} +(5.61604 - 6.33707i) q^{93} -10.7997i q^{94} +(13.1760 + 7.60718i) q^{95} +(-9.75561 - 1.99332i) q^{96} +(0.172790 - 0.0997601i) q^{97} +(5.34034 - 2.51272i) q^{98} +(1.77955 + 2.36980i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 64 q + 32 q^{4} - 12 q^{6} - 4 q^{7} + 8 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 64 q + 32 q^{4} - 12 q^{6} - 4 q^{7} + 8 q^{9} + 6 q^{12} - 12 q^{13} - 9 q^{15} - 16 q^{16} + 2 q^{18} + 10 q^{21} + 10 q^{22} - 24 q^{25} - 50 q^{28} - 16 q^{30} - 24 q^{31} - 33 q^{39} + 90 q^{40} - 48 q^{42} - 20 q^{43} - 3 q^{45} + 6 q^{48} - 10 q^{51} + 30 q^{52} - 27 q^{54} + 18 q^{55} + 4 q^{57} - 60 q^{58} + 55 q^{60} - 74 q^{63} - 84 q^{64} + 75 q^{66} - 88 q^{67} - 33 q^{69} + 20 q^{70} - 34 q^{72} + 84 q^{73} + 33 q^{75} + 18 q^{76} - 71 q^{78} + 20 q^{79} - 32 q^{81} - 6 q^{84} - 2 q^{85} + 3 q^{87} + 92 q^{88} - 76 q^{91} + 28 q^{93} + 30 q^{96} + 24 q^{97} + 22 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/273\mathbb{Z}\right)^\times\).

\(n\) \(92\) \(106\) \(157\)
\(\chi(n)\) \(-1\) \(e\left(\frac{2}{3}\right)\) \(e\left(\frac{5}{6}\right)\)

Coefficient data

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



Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.730177 + 0.421568i −0.516313 + 0.298093i −0.735425 0.677606i \(-0.763017\pi\)
0.219112 + 0.975700i \(0.429684\pi\)
\(3\) −1.64300 + 0.548211i −0.948589 + 0.316510i
\(4\) −0.644561 + 1.11641i −0.322281 + 0.558207i
\(5\) −1.06280 + 1.84082i −0.475297 + 0.823239i −0.999600 0.0282929i \(-0.990993\pi\)
0.524302 + 0.851532i \(0.324326\pi\)
\(6\) 0.968576 1.09293i 0.395419 0.446186i
\(7\) −0.110845 + 2.64343i −0.0418954 + 0.999122i
\(8\) 2.77318i 0.980466i
\(9\) 2.39893 1.80143i 0.799643 0.600476i
\(10\) 1.79216i 0.566732i
\(11\) 0.987856i 0.297850i 0.988849 + 0.148925i \(0.0475813\pi\)
−0.988849 + 0.148925i \(0.952419\pi\)
\(12\) 0.446987 2.18763i 0.129034 0.631514i
\(13\) −3.08300 1.86952i −0.855070 0.518512i
\(14\) −1.03345 1.97690i −0.276200 0.528348i
\(15\) 0.737024 3.60711i 0.190299 0.931352i
\(16\) −0.120042 0.207918i −0.0300104 0.0519796i
\(17\) −0.920525 + 1.59440i −0.223260 + 0.386698i −0.955796 0.294030i \(-0.905003\pi\)
0.732536 + 0.680728i \(0.238337\pi\)
\(18\) −0.992218 + 2.32667i −0.233868 + 0.548402i
\(19\) 7.15770i 1.64209i −0.570864 0.821044i \(-0.693392\pi\)
0.570864 0.821044i \(-0.306608\pi\)
\(20\) −1.37008 2.37304i −0.306358 0.530628i
\(21\) −1.26704 4.40393i −0.276490 0.961017i
\(22\) −0.416448 0.721310i −0.0887871 0.153784i
\(23\) −1.40903 + 0.813502i −0.293803 + 0.169627i −0.639655 0.768662i \(-0.720923\pi\)
0.345853 + 0.938289i \(0.387590\pi\)
\(24\) 1.52029 + 4.55634i 0.310327 + 0.930059i
\(25\) 0.240923 + 0.417291i 0.0481846 + 0.0834582i
\(26\) 3.03926 + 0.0653890i 0.596049 + 0.0128238i
\(27\) −2.95389 + 4.27487i −0.568476 + 0.822700i
\(28\) −2.87971 1.82760i −0.544214 0.345384i
\(29\) 0.488355 + 0.281952i 0.0906852 + 0.0523571i 0.544657 0.838659i \(-0.316660\pi\)
−0.453972 + 0.891016i \(0.649993\pi\)
\(30\) 0.982484 + 2.94453i 0.179376 + 0.537596i
\(31\) −4.23375 + 2.44435i −0.760403 + 0.439019i −0.829440 0.558595i \(-0.811341\pi\)
0.0690374 + 0.997614i \(0.478007\pi\)
\(32\) 4.97858 + 2.87439i 0.880098 + 0.508125i
\(33\) −0.541554 1.62305i −0.0942724 0.282537i
\(34\) 1.55226i 0.266210i
\(35\) −4.74827 3.01347i −0.802604 0.509370i
\(36\) 0.464880 + 3.83933i 0.0774799 + 0.639888i
\(37\) −1.64578 2.85058i −0.270565 0.468633i 0.698442 0.715667i \(-0.253877\pi\)
−0.969007 + 0.247035i \(0.920544\pi\)
\(38\) 3.01745 + 5.22638i 0.489496 + 0.847831i
\(39\) 6.09028 + 1.38150i 0.975225 + 0.221217i
\(40\) 5.10491 + 2.94732i 0.807158 + 0.466013i
\(41\) 4.93559 8.54870i 0.770810 1.33508i −0.166310 0.986074i \(-0.553185\pi\)
0.937120 0.349008i \(-0.113482\pi\)
\(42\) 2.78172 + 2.68151i 0.429228 + 0.413765i
\(43\) −0.214038 0.370726i −0.0326406 0.0565351i 0.849244 0.528001i \(-0.177058\pi\)
−0.881884 + 0.471466i \(0.843725\pi\)
\(44\) −1.10286 0.636734i −0.166262 0.0959913i
\(45\) 0.766526 + 6.33055i 0.114267 + 0.943702i
\(46\) 0.685893 1.18800i 0.101129 0.175161i
\(47\) −6.40449 + 11.0929i −0.934190 + 1.61807i −0.158119 + 0.987420i \(0.550543\pi\)
−0.776071 + 0.630645i \(0.782790\pi\)
\(48\) 0.311212 + 0.275803i 0.0449196 + 0.0398087i
\(49\) −6.97543 0.586021i −0.996490 0.0837173i
\(50\) −0.351833 0.203131i −0.0497567 0.0287270i
\(51\) 0.638362 3.12424i 0.0893885 0.437482i
\(52\) 4.07434 2.23688i 0.565010 0.310199i
\(53\) 6.59657 3.80853i 0.906109 0.523142i 0.0269320 0.999637i \(-0.491426\pi\)
0.879177 + 0.476495i \(0.158093\pi\)
\(54\) 0.354713 4.36668i 0.0482703 0.594229i
\(55\) −1.81847 1.04989i −0.245202 0.141567i
\(56\) 7.33069 + 0.307392i 0.979605 + 0.0410770i
\(57\) 3.92393 + 11.7601i 0.519737 + 1.55767i
\(58\) −0.475447 −0.0624292
\(59\) −5.96320 + 10.3286i −0.776342 + 1.34466i 0.157695 + 0.987488i \(0.449594\pi\)
−0.934037 + 0.357176i \(0.883740\pi\)
\(60\) 3.55197 + 3.14783i 0.458557 + 0.406383i
\(61\) 2.21713i 0.283875i 0.989876 + 0.141937i \(0.0453332\pi\)
−0.989876 + 0.141937i \(0.954667\pi\)
\(62\) 2.06092 3.56962i 0.261737 0.453342i
\(63\) 4.49603 + 6.54108i 0.566447 + 0.824098i
\(64\) −4.36683 −0.545853
\(65\) 6.71806 3.68832i 0.833272 0.457480i
\(66\) 1.07966 + 0.956814i 0.132897 + 0.117776i
\(67\) −2.45385 −0.299785 −0.149892 0.988702i \(-0.547893\pi\)
−0.149892 + 0.988702i \(0.547893\pi\)
\(68\) −1.18667 2.05537i −0.143905 0.249251i
\(69\) 1.86907 2.10903i 0.225009 0.253898i
\(70\) 4.73746 + 0.198652i 0.566234 + 0.0237435i
\(71\) 2.48976 1.43746i 0.295480 0.170596i −0.344930 0.938628i \(-0.612097\pi\)
0.640411 + 0.768033i \(0.278764\pi\)
\(72\) −4.99567 6.65265i −0.588746 0.784023i
\(73\) −8.31343 + 4.79976i −0.973013 + 0.561769i −0.900154 0.435573i \(-0.856546\pi\)
−0.0728598 + 0.997342i \(0.523213\pi\)
\(74\) 2.40342 + 1.38762i 0.279392 + 0.161307i
\(75\) −0.624601 0.553534i −0.0721227 0.0639166i
\(76\) 7.99095 + 4.61358i 0.916625 + 0.529214i
\(77\) −2.61133 0.109499i −0.297588 0.0124785i
\(78\) −5.02937 + 1.55872i −0.569464 + 0.176491i
\(79\) −7.27556 + 12.6016i −0.818565 + 1.41780i 0.0881750 + 0.996105i \(0.471897\pi\)
−0.906740 + 0.421691i \(0.861437\pi\)
\(80\) 0.510320 0.0570555
\(81\) 2.50972 8.64299i 0.278858 0.960332i
\(82\) 8.32274i 0.919093i
\(83\) −14.4620 −1.58741 −0.793707 0.608301i \(-0.791851\pi\)
−0.793707 + 0.608301i \(0.791851\pi\)
\(84\) 5.73329 + 1.42407i 0.625553 + 0.155378i
\(85\) −1.95666 3.38904i −0.212230 0.367593i
\(86\) 0.312572 + 0.180463i 0.0337055 + 0.0194599i
\(87\) −0.956938 0.195526i −0.102595 0.0209626i
\(88\) 2.73950 0.292032
\(89\) −2.59362 4.49228i −0.274923 0.476181i 0.695193 0.718824i \(-0.255319\pi\)
−0.970116 + 0.242643i \(0.921986\pi\)
\(90\) −3.22845 4.29927i −0.340309 0.453183i
\(91\) 5.28368 7.94246i 0.553881 0.832596i
\(92\) 2.09741i 0.218670i
\(93\) 5.61604 6.33707i 0.582356 0.657124i
\(94\) 10.7997i 1.11390i
\(95\) 13.1760 + 7.60718i 1.35183 + 0.780481i
\(96\) −9.75561 1.99332i −0.995678 0.203442i
\(97\) 0.172790 0.0997601i 0.0175441 0.0101291i −0.491202 0.871046i \(-0.663442\pi\)
0.508746 + 0.860916i \(0.330109\pi\)
\(98\) 5.34034 2.51272i 0.539456 0.253823i
\(99\) 1.77955 + 2.36980i 0.178852 + 0.238174i
\(100\) −0.621159 −0.0621159
\(101\) −6.01356 −0.598372 −0.299186 0.954195i \(-0.596715\pi\)
−0.299186 + 0.954195i \(0.596715\pi\)
\(102\) 0.850964 + 2.55036i 0.0842579 + 0.252524i
\(103\) 8.42274 + 4.86287i 0.829917 + 0.479153i 0.853824 0.520561i \(-0.174277\pi\)
−0.0239072 + 0.999714i \(0.507611\pi\)
\(104\) −5.18451 + 8.54970i −0.508384 + 0.838367i
\(105\) 9.45345 + 2.34810i 0.922562 + 0.229151i
\(106\) −3.21111 + 5.56181i −0.311891 + 0.540210i
\(107\) 0.532349 0.307352i 0.0514642 0.0297128i −0.474047 0.880499i \(-0.657207\pi\)
0.525511 + 0.850787i \(0.323874\pi\)
\(108\) −2.86856 6.05318i −0.276027 0.582467i
\(109\) −5.78829 10.0256i −0.554418 0.960280i −0.997949 0.0640208i \(-0.979608\pi\)
0.443531 0.896259i \(-0.353726\pi\)
\(110\) 1.77040 0.168801
\(111\) 4.26675 + 3.78128i 0.404982 + 0.358903i
\(112\) 0.562923 0.294275i 0.0531912 0.0278064i
\(113\) −6.10760 + 3.52622i −0.574554 + 0.331719i −0.758966 0.651130i \(-0.774295\pi\)
0.184412 + 0.982849i \(0.440962\pi\)
\(114\) −7.82285 6.93277i −0.732677 0.649314i
\(115\) 3.45835i 0.322493i
\(116\) −0.629549 + 0.363470i −0.0584522 + 0.0337474i
\(117\) −10.7637 + 1.06895i −0.995105 + 0.0988241i
\(118\) 10.0556i 0.925690i
\(119\) −4.11264 2.61007i −0.377005 0.239265i
\(120\) −10.0032 2.04390i −0.913159 0.186581i
\(121\) 10.0241 0.911285
\(122\) −0.934672 1.61890i −0.0846212 0.146568i
\(123\) −3.42271 + 16.7513i −0.308615 + 1.51041i
\(124\) 6.30215i 0.565949i
\(125\) −11.6522 −1.04220
\(126\) −6.04041 2.88076i −0.538122 0.256638i
\(127\) −5.43519 + 9.41402i −0.482295 + 0.835359i −0.999793 0.0203250i \(-0.993530\pi\)
0.517499 + 0.855684i \(0.326863\pi\)
\(128\) −6.76861 + 3.90786i −0.598267 + 0.345409i
\(129\) 0.554902 + 0.491766i 0.0488564 + 0.0432975i
\(130\) −3.35049 + 5.52524i −0.293858 + 0.484596i
\(131\) 8.66948 15.0160i 0.757456 1.31195i −0.186688 0.982419i \(-0.559775\pi\)
0.944144 0.329533i \(-0.106891\pi\)
\(132\) 2.16106 + 0.441559i 0.188096 + 0.0384328i
\(133\) 18.9209 + 0.793394i 1.64065 + 0.0687960i
\(134\) 1.79174 1.03446i 0.154783 0.0893639i
\(135\) −4.72988 9.98090i −0.407083 0.859019i
\(136\) 4.42154 + 2.55278i 0.379144 + 0.218899i
\(137\) −11.0502 6.37986i −0.944086 0.545068i −0.0528469 0.998603i \(-0.516830\pi\)
−0.891239 + 0.453535i \(0.850163\pi\)
\(138\) −0.475650 + 2.32791i −0.0404900 + 0.198164i
\(139\) 13.6009 7.85246i 1.15361 0.666037i 0.203846 0.979003i \(-0.434656\pi\)
0.949764 + 0.312966i \(0.101322\pi\)
\(140\) 6.42483 3.35866i 0.542997 0.283859i
\(141\) 4.44135 21.7367i 0.374029 1.83056i
\(142\) −1.21198 + 2.09921i −0.101707 + 0.176161i
\(143\) 1.84682 3.04556i 0.154439 0.254683i
\(144\) −0.662521 0.282535i −0.0552101 0.0235446i
\(145\) −1.03804 + 0.599315i −0.0862049 + 0.0497704i
\(146\) 4.04685 7.00935i 0.334920 0.580098i
\(147\) 11.7819 2.86117i 0.971757 0.235985i
\(148\) 4.24323 0.348792
\(149\) 7.52267i 0.616281i −0.951341 0.308141i \(-0.900293\pi\)
0.951341 0.308141i \(-0.0997068\pi\)
\(150\) 0.689421 + 0.140866i 0.0562910 + 0.0115017i
\(151\) 1.77190 + 3.06902i 0.144195 + 0.249753i 0.929072 0.369898i \(-0.120607\pi\)
−0.784877 + 0.619651i \(0.787274\pi\)
\(152\) −19.8496 −1.61001
\(153\) 0.663914 + 5.48310i 0.0536743 + 0.443283i
\(154\) 1.95289 1.02090i 0.157368 0.0822663i
\(155\) 10.3914i 0.834658i
\(156\) −5.46788 + 5.90880i −0.437781 + 0.473083i
\(157\) −12.7221 + 7.34511i −1.01533 + 0.586204i −0.912749 0.408521i \(-0.866045\pi\)
−0.102585 + 0.994724i \(0.532711\pi\)
\(158\) 12.2686i 0.976035i
\(159\) −8.75032 + 9.87376i −0.693946 + 0.783040i
\(160\) −10.5825 + 6.10978i −0.836616 + 0.483021i
\(161\) −1.99425 3.81484i −0.157169 0.300651i
\(162\) 1.81107 + 7.36893i 0.142291 + 0.578958i
\(163\) 0.893571 0.0699899 0.0349949 0.999387i \(-0.488858\pi\)
0.0349949 + 0.999387i \(0.488858\pi\)
\(164\) 6.36258 + 11.0203i 0.496834 + 0.860542i
\(165\) 3.56331 + 0.728074i 0.277403 + 0.0566804i
\(166\) 10.5598 6.09672i 0.819602 0.473197i
\(167\) −2.80871 + 4.86483i −0.217345 + 0.376452i −0.953995 0.299821i \(-0.903073\pi\)
0.736651 + 0.676274i \(0.236406\pi\)
\(168\) −12.2129 + 3.51372i −0.942244 + 0.271089i
\(169\) 6.00977 + 11.5275i 0.462290 + 0.886729i
\(170\) 2.85742 + 1.64973i 0.219154 + 0.126529i
\(171\) −12.8941 17.1708i −0.986034 1.31308i
\(172\) 0.551844 0.0420777
\(173\) 14.4173 1.09613 0.548064 0.836437i \(-0.315365\pi\)
0.548064 + 0.836437i \(0.315365\pi\)
\(174\) 0.781161 0.260645i 0.0592197 0.0197595i
\(175\) −1.12978 + 0.590608i −0.0854036 + 0.0446458i
\(176\) 0.205393 0.118584i 0.0154821 0.00893860i
\(177\) 4.13533 20.2390i 0.310830 1.52125i
\(178\) 3.78760 + 2.18677i 0.283893 + 0.163906i
\(179\) 22.2997i 1.66676i 0.552700 + 0.833380i \(0.313598\pi\)
−0.552700 + 0.833380i \(0.686402\pi\)
\(180\) −7.56158 3.22467i −0.563607 0.240352i
\(181\) 6.26949i 0.466007i 0.972476 + 0.233004i \(0.0748554\pi\)
−0.972476 + 0.233004i \(0.925145\pi\)
\(182\) −0.509738 + 8.02683i −0.0377843 + 0.594988i
\(183\) −1.21546 3.64276i −0.0898492 0.269281i
\(184\) 2.25599 + 3.90748i 0.166313 + 0.288063i
\(185\) 6.99654 0.514396
\(186\) −1.42920 + 6.99472i −0.104794 + 0.512878i
\(187\) −1.57504 0.909347i −0.115178 0.0664980i
\(188\) −8.25617 14.3001i −0.602143 1.04294i
\(189\) −10.9729 8.28224i −0.798161 0.602445i
\(190\) −12.8278 −0.930624
\(191\) 4.93340i 0.356968i 0.983943 + 0.178484i \(0.0571193\pi\)
−0.983943 + 0.178484i \(0.942881\pi\)
\(192\) 7.17472 2.39394i 0.517791 0.172768i
\(193\) −5.38159 −0.387376 −0.193688 0.981063i \(-0.562045\pi\)
−0.193688 + 0.981063i \(0.562045\pi\)
\(194\) −0.0841113 + 0.145685i −0.00603884 + 0.0104596i
\(195\) −9.01582 + 9.74284i −0.645636 + 0.697699i
\(196\) 5.15033 7.40973i 0.367881 0.529267i
\(197\) 1.73936 + 1.00422i 0.123924 + 0.0715477i 0.560681 0.828032i \(-0.310540\pi\)
−0.436756 + 0.899580i \(0.643873\pi\)
\(198\) −2.29842 0.980169i −0.163341 0.0696576i
\(199\) −1.63133 0.941849i −0.115642 0.0667659i 0.441063 0.897476i \(-0.354601\pi\)
−0.556705 + 0.830710i \(0.687935\pi\)
\(200\) 1.15722 0.668122i 0.0818279 0.0472434i
\(201\) 4.03168 1.34523i 0.284373 0.0948849i
\(202\) 4.39096 2.53512i 0.308947 0.178371i
\(203\) −0.799451 + 1.25968i −0.0561104 + 0.0884120i
\(204\) 3.07648 + 2.72644i 0.215397 + 0.190889i
\(205\) 10.4911 + 18.1711i 0.732728 + 1.26912i
\(206\) −8.20012 −0.571329
\(207\) −1.91469 + 4.48980i −0.133080 + 0.312062i
\(208\) −0.0186196 + 0.865433i −0.00129103 + 0.0600070i
\(209\) 7.07078 0.489096
\(210\) −7.89257 + 2.27074i −0.544639 + 0.156696i
\(211\) 3.68771 6.38731i 0.253873 0.439720i −0.710716 0.703479i \(-0.751629\pi\)
0.964589 + 0.263759i \(0.0849623\pi\)
\(212\) 9.81934i 0.674395i
\(213\) −3.30266 + 3.72668i −0.226294 + 0.255348i
\(214\) −0.259139 + 0.448843i −0.0177144 + 0.0306822i
\(215\) 0.909918 0.0620559
\(216\) 11.8550 + 8.19165i 0.806629 + 0.557371i
\(217\) −5.99219 11.4625i −0.406776 0.778128i
\(218\) 8.45295 + 4.88031i 0.572506 + 0.330537i
\(219\) 11.0277 12.4435i 0.745184 0.840857i
\(220\) 2.34422 1.35344i 0.158048 0.0912488i
\(221\) 5.81874 3.19458i 0.391411 0.214891i
\(222\) −4.70955 0.962279i −0.316084 0.0645839i
\(223\) 1.19481 + 0.689825i 0.0800106 + 0.0461941i 0.539472 0.842004i \(-0.318624\pi\)
−0.459461 + 0.888198i \(0.651957\pi\)
\(224\) −8.15009 + 12.8419i −0.544551 + 0.858037i
\(225\) 1.32968 + 0.567046i 0.0886451 + 0.0378031i
\(226\) 2.97308 5.14953i 0.197767 0.342542i
\(227\) −1.49119 + 2.58281i −0.0989736 + 0.171427i −0.911260 0.411831i \(-0.864889\pi\)
0.812286 + 0.583259i \(0.198223\pi\)
\(228\) −15.6584 3.19940i −1.03700 0.211885i
\(229\) 10.3410 + 5.97040i 0.683355 + 0.394535i 0.801118 0.598506i \(-0.204239\pi\)
−0.117763 + 0.993042i \(0.537572\pi\)
\(230\) 1.45793 + 2.52521i 0.0961331 + 0.166507i
\(231\) 4.35045 1.25165i 0.286239 0.0823526i
\(232\) 0.781902 1.35429i 0.0513343 0.0889137i
\(233\) 14.3523 + 8.28630i 0.940250 + 0.542854i 0.890039 0.455885i \(-0.150677\pi\)
0.0502115 + 0.998739i \(0.484010\pi\)
\(234\) 7.40877 5.31815i 0.484327 0.347658i
\(235\) −13.6133 23.5790i −0.888037 1.53812i
\(236\) −7.68729 13.3148i −0.500400 0.866718i
\(237\) 5.04542 24.6931i 0.327735 1.60399i
\(238\) 4.10328 + 0.172060i 0.265976 + 0.0111530i
\(239\) 29.6350i 1.91693i 0.285211 + 0.958465i \(0.407936\pi\)
−0.285211 + 0.958465i \(0.592064\pi\)
\(240\) −0.838458 + 0.279763i −0.0541222 + 0.0180586i
\(241\) 15.6963 + 9.06224i 1.01108 + 0.583750i 0.911509 0.411280i \(-0.134918\pi\)
0.0995756 + 0.995030i \(0.468251\pi\)
\(242\) −7.31939 + 4.22585i −0.470508 + 0.271648i
\(243\) 0.614701 + 15.5763i 0.0394331 + 0.999222i
\(244\) −2.47524 1.42908i −0.158461 0.0914874i
\(245\) 8.49222 12.2177i 0.542548 0.780559i
\(246\) −4.56262 13.6743i −0.290902 0.871842i
\(247\) −13.3815 + 22.0672i −0.851443 + 1.40410i
\(248\) 6.77862 + 11.7409i 0.430443 + 0.745549i
\(249\) 23.7612 7.92824i 1.50580 0.502432i
\(250\) 8.50815 4.91218i 0.538103 0.310674i
\(251\) 3.79901 + 6.58007i 0.239791 + 0.415330i 0.960654 0.277747i \(-0.0895877\pi\)
−0.720863 + 0.693077i \(0.756254\pi\)
\(252\) −10.2005 + 0.803307i −0.642572 + 0.0506036i
\(253\) −0.803624 1.39192i −0.0505234 0.0875091i
\(254\) 9.16519i 0.575075i
\(255\) 5.07272 + 4.49555i 0.317666 + 0.281522i
\(256\) 7.66168 13.2704i 0.478855 0.829402i
\(257\) 11.8505 + 20.5256i 0.739212 + 1.28035i 0.952851 + 0.303440i \(0.0981352\pi\)
−0.213638 + 0.976913i \(0.568531\pi\)
\(258\) −0.612489 0.125147i −0.0381319 0.00779131i
\(259\) 7.71773 4.03454i 0.479556 0.250694i
\(260\) −0.212511 + 9.87748i −0.0131794 + 0.612575i
\(261\) 1.67944 0.203353i 0.103955 0.0125872i
\(262\) 14.6191i 0.903170i
\(263\) 17.5614i 1.08288i −0.840740 0.541440i \(-0.817879\pi\)
0.840740 0.541440i \(-0.182121\pi\)
\(264\) −4.50101 + 1.50182i −0.277018 + 0.0924309i
\(265\) 16.1908i 0.994593i
\(266\) −14.1500 + 7.39711i −0.867595 + 0.453546i
\(267\) 6.72405 + 5.95899i 0.411505 + 0.364684i
\(268\) 1.58165 2.73951i 0.0966149 0.167342i
\(269\) 11.8706 20.5606i 0.723766 1.25360i −0.235714 0.971823i \(-0.575743\pi\)
0.959480 0.281777i \(-0.0909240\pi\)
\(270\) 7.66127 + 5.29385i 0.466250 + 0.322174i
\(271\) −26.2482 + 15.1544i −1.59446 + 0.920565i −0.601937 + 0.798543i \(0.705604\pi\)
−0.992528 + 0.122021i \(0.961062\pi\)
\(272\) 0.442006 0.0268005
\(273\) −4.32697 + 15.9461i −0.261880 + 0.965100i
\(274\) 10.7582 0.649925
\(275\) −0.412224 + 0.237997i −0.0248580 + 0.0143518i
\(276\) 1.14982 + 3.44605i 0.0692112 + 0.207428i
\(277\) −8.79054 + 15.2257i −0.528172 + 0.914821i 0.471288 + 0.881979i \(0.343789\pi\)
−0.999461 + 0.0328418i \(0.989544\pi\)
\(278\) −6.62069 + 11.4674i −0.397083 + 0.687767i
\(279\) −5.75313 + 13.4906i −0.344431 + 0.807662i
\(280\) −8.35689 + 13.1678i −0.499420 + 0.786925i
\(281\) 27.1501i 1.61964i −0.586680 0.809819i \(-0.699565\pi\)
0.586680 0.809819i \(-0.300435\pi\)
\(282\) 5.92051 + 17.7440i 0.352562 + 1.05664i
\(283\) 7.16342i 0.425821i −0.977072 0.212910i \(-0.931706\pi\)
0.977072 0.212910i \(-0.0682943\pi\)
\(284\) 3.70614i 0.219919i
\(285\) −25.8186 5.27539i −1.52936 0.312487i
\(286\) −0.0645949 + 3.00236i −0.00381958 + 0.177533i
\(287\) 22.0508 + 13.9945i 1.30162 + 0.826067i
\(288\) 17.1213 2.07311i 1.00888 0.122159i
\(289\) 6.80527 + 11.7871i 0.400310 + 0.693357i
\(290\) 0.505304 0.875212i 0.0296725 0.0513942i
\(291\) −0.229204 + 0.258631i −0.0134362 + 0.0151612i
\(292\) 12.3750i 0.724190i
\(293\) 11.3968 + 19.7398i 0.665805 + 1.15321i 0.979066 + 0.203542i \(0.0652452\pi\)
−0.313261 + 0.949667i \(0.601421\pi\)
\(294\) −7.39671 + 7.05604i −0.431385 + 0.411516i
\(295\) −12.6753 21.9543i −0.737987 1.27823i
\(296\) −7.90516 + 4.56405i −0.459478 + 0.265280i
\(297\) −4.22296 2.91802i −0.245041 0.169321i
\(298\) 3.17132 + 5.49288i 0.183709 + 0.318194i
\(299\) 5.86489 + 0.126182i 0.339175 + 0.00729727i
\(300\) 1.02057 0.340526i 0.0589225 0.0196603i
\(301\) 1.00371 0.524702i 0.0578530 0.0302433i
\(302\) −2.58760 1.49395i −0.148899 0.0859671i
\(303\) 9.88031 3.29670i 0.567609 0.189391i
\(304\) −1.48822 + 0.859222i −0.0853551 + 0.0492798i
\(305\) −4.08134 2.35636i −0.233697 0.134925i
\(306\) −2.79627 3.72375i −0.159852 0.212873i
\(307\) 24.9738i 1.42533i −0.701504 0.712665i \(-0.747488\pi\)
0.701504 0.712665i \(-0.252512\pi\)
\(308\) 1.80541 2.84474i 0.102873 0.162094i
\(309\) −16.5045 3.37228i −0.938907 0.191842i
\(310\) 4.38068 + 7.58757i 0.248806 + 0.430945i
\(311\) −9.00463 15.5965i −0.510606 0.884395i −0.999924 0.0122902i \(-0.996088\pi\)
0.489319 0.872105i \(-0.337246\pi\)
\(312\) 3.83114 16.8894i 0.216896 0.956174i
\(313\) 17.5542 + 10.1349i 0.992223 + 0.572860i 0.905938 0.423410i \(-0.139167\pi\)
0.0862849 + 0.996271i \(0.472500\pi\)
\(314\) 6.19292 10.7265i 0.349487 0.605329i
\(315\) −16.8193 + 1.32455i −0.947661 + 0.0746298i
\(316\) −9.37909 16.2451i −0.527615 0.913856i
\(317\) 8.12697 + 4.69211i 0.456456 + 0.263535i 0.710553 0.703644i \(-0.248445\pi\)
−0.254097 + 0.967179i \(0.581778\pi\)
\(318\) 2.22682 10.8984i 0.124874 0.611154i
\(319\) −0.278528 + 0.482424i −0.0155946 + 0.0270106i
\(320\) 4.64105 8.03854i 0.259443 0.449368i
\(321\) −0.706159 + 0.796821i −0.0394139 + 0.0444742i
\(322\) 3.06437 + 1.94479i 0.170771 + 0.108379i
\(323\) 11.4122 + 6.58884i 0.634993 + 0.366613i
\(324\) 8.03148 + 8.37282i 0.446193 + 0.465157i
\(325\) 0.0373693 1.73692i 0.00207288 0.0963469i
\(326\) −0.652465 + 0.376701i −0.0361367 + 0.0208635i
\(327\) 15.0063 + 13.2989i 0.829853 + 0.735433i
\(328\) −23.7070 13.6873i −1.30900 0.755753i
\(329\) −28.6134 18.1594i −1.57751 1.00116i
\(330\) −2.90878 + 0.970553i −0.160123 + 0.0534272i
\(331\) −18.8085 −1.03381 −0.516905 0.856043i \(-0.672916\pi\)
−0.516905 + 0.856043i \(0.672916\pi\)
\(332\) 9.32166 16.1456i 0.511593 0.886104i
\(333\) −9.08323 3.87358i −0.497758 0.212271i
\(334\) 4.73625i 0.259156i
\(335\) 2.60794 4.51709i 0.142487 0.246795i
\(336\) −0.763561 + 0.792096i −0.0416556 + 0.0432124i
\(337\) 20.7828 1.13211 0.566056 0.824367i \(-0.308469\pi\)
0.566056 + 0.824367i \(0.308469\pi\)
\(338\) −9.24780 5.88357i −0.503014 0.320024i
\(339\) 8.10170 9.14185i 0.440024 0.496517i
\(340\) 5.04476 0.273591
\(341\) −2.41467 4.18233i −0.130762 0.226486i
\(342\) 16.6536 + 7.10200i 0.900524 + 0.384032i
\(343\) 2.32229 18.3741i 0.125392 0.992107i
\(344\) −1.02809 + 0.593566i −0.0554307 + 0.0320030i
\(345\) 1.89591 + 5.68209i 0.102072 + 0.305913i
\(346\) −10.5272 + 6.07787i −0.565945 + 0.326748i
\(347\) −2.27756 1.31495i −0.122266 0.0705902i 0.437620 0.899160i \(-0.355822\pi\)
−0.559886 + 0.828570i \(0.689155\pi\)
\(348\) 0.835094 0.942309i 0.0447657 0.0505131i
\(349\) −2.04081 1.17826i −0.109242 0.0630710i 0.444383 0.895837i \(-0.353423\pi\)
−0.553626 + 0.832766i \(0.686756\pi\)
\(350\) 0.575960 0.907529i 0.0307864 0.0485095i
\(351\) 17.0988 7.65707i 0.912667 0.408704i
\(352\) −2.83948 + 4.91813i −0.151345 + 0.262137i
\(353\) −22.7672 −1.21178 −0.605888 0.795550i \(-0.707182\pi\)
−0.605888 + 0.795550i \(0.707182\pi\)
\(354\) 5.51257 + 16.5213i 0.292990 + 0.878099i
\(355\) 6.11093i 0.324335i
\(356\) 6.68699 0.354410
\(357\) 8.18796 + 2.03377i 0.433353 + 0.107638i
\(358\) −9.40085 16.2827i −0.496850 0.860570i
\(359\) −5.83980 3.37161i −0.308213 0.177947i 0.337914 0.941177i \(-0.390279\pi\)
−0.646126 + 0.763230i \(0.723612\pi\)
\(360\) 17.5557 2.12571i 0.925268 0.112035i
\(361\) −32.2327 −1.69646
\(362\) −2.64301 4.57783i −0.138914 0.240605i
\(363\) −16.4697 + 5.49535i −0.864436 + 0.288431i
\(364\) 5.46141 + 11.0182i 0.286256 + 0.577509i
\(365\) 20.4047i 1.06803i
\(366\) 2.42317 + 2.14746i 0.126661 + 0.112250i
\(367\) 12.7761i 0.666907i −0.942766 0.333454i \(-0.891786\pi\)
0.942766 0.333454i \(-0.108214\pi\)
\(368\) 0.338284 + 0.195308i 0.0176343 + 0.0101812i
\(369\) −3.55972 29.3988i −0.185311 1.53044i
\(370\) −5.10871 + 2.94951i −0.265589 + 0.153338i
\(371\) 9.33639 + 17.8597i 0.484721 + 0.927231i
\(372\) 3.45491 + 10.3545i 0.179129 + 0.536853i
\(373\) −25.7056 −1.33099 −0.665493 0.746404i \(-0.731779\pi\)
−0.665493 + 0.746404i \(0.731779\pi\)
\(374\) 1.53341 0.0792905
\(375\) 19.1446 6.38786i 0.988623 0.329868i
\(376\) 30.7625 + 17.7608i 1.58646 + 0.915942i
\(377\) −0.978482 1.78225i −0.0503944 0.0917904i
\(378\) 11.5037 + 1.42168i 0.591685 + 0.0731234i
\(379\) −15.2609 + 26.4326i −0.783898 + 1.35775i 0.145757 + 0.989320i \(0.453438\pi\)
−0.929655 + 0.368431i \(0.879895\pi\)
\(380\) −16.9855 + 9.80660i −0.871339 + 0.503068i
\(381\) 3.76917 18.4469i 0.193100 0.945064i
\(382\) −2.07976 3.60225i −0.106410 0.184307i
\(383\) 8.28720 0.423456 0.211728 0.977329i \(-0.432091\pi\)
0.211728 + 0.977329i \(0.432091\pi\)
\(384\) 8.97853 10.1313i 0.458184 0.517009i
\(385\) 2.97688 4.69061i 0.151716 0.239055i
\(386\) 3.92951 2.26871i 0.200007 0.115474i
\(387\) −1.18130 0.503770i −0.0600488 0.0256080i
\(388\) 0.257206i 0.0130577i
\(389\) −23.2193 + 13.4057i −1.17727 + 0.679695i −0.955381 0.295378i \(-0.904555\pi\)
−0.221886 + 0.975073i \(0.571221\pi\)
\(390\) 2.47587 10.9148i 0.125371 0.552691i
\(391\) 2.99540i 0.151484i
\(392\) −1.62514 + 19.3441i −0.0820819 + 0.977024i
\(393\) −6.01207 + 29.4240i −0.303269 + 1.48425i
\(394\) −1.69339 −0.0853116
\(395\) −15.4649 26.7860i −0.778124 1.34775i
\(396\) −3.79270 + 0.459234i −0.190591 + 0.0230774i
\(397\) 5.84724i 0.293464i −0.989176 0.146732i \(-0.953124\pi\)
0.989176 0.146732i \(-0.0468756\pi\)
\(398\) 1.58821 0.0796099
\(399\) −31.5220 + 9.06908i −1.57807 + 0.454022i
\(400\) 0.0578416 0.100185i 0.00289208 0.00500923i
\(401\) 3.59360 2.07476i 0.179456 0.103609i −0.407581 0.913169i \(-0.633628\pi\)
0.587037 + 0.809560i \(0.300294\pi\)
\(402\) −2.37673 + 2.68188i −0.118541 + 0.133760i
\(403\) 17.6224 + 0.379141i 0.877835 + 0.0188864i
\(404\) 3.87611 6.71362i 0.192844 0.334015i
\(405\) 13.2429 + 13.8057i 0.658043 + 0.686010i
\(406\) 0.0527008 1.25681i 0.00261550 0.0623744i
\(407\) 2.81596 1.62580i 0.139582 0.0805878i
\(408\) −8.66408 1.77029i −0.428936 0.0876423i
\(409\) −9.22250 5.32461i −0.456023 0.263285i 0.254347 0.967113i \(-0.418139\pi\)
−0.710371 + 0.703828i \(0.751473\pi\)
\(410\) −15.3207 8.84539i −0.756634 0.436843i
\(411\) 21.6531 + 4.42427i 1.06807 + 0.218233i
\(412\) −10.8579 + 6.26884i −0.534933 + 0.308843i
\(413\) −26.6418 16.9082i −1.31096 0.831996i
\(414\) −0.494689 4.08552i −0.0243126 0.200792i
\(415\) 15.3702 26.6220i 0.754493 1.30682i
\(416\) −9.97524 18.1693i −0.489076 0.890824i
\(417\) −18.0415 + 20.3578i −0.883495 + 0.996925i
\(418\) −5.16292 + 2.98081i −0.252527 + 0.145796i
\(419\) −4.05247 + 7.01909i −0.197976 + 0.342905i −0.947872 0.318651i \(-0.896770\pi\)
0.749896 + 0.661556i \(0.230104\pi\)
\(420\) −8.71478 + 9.04046i −0.425238 + 0.441129i
\(421\) 16.7895 0.818270 0.409135 0.912474i \(-0.365830\pi\)
0.409135 + 0.912474i \(0.365830\pi\)
\(422\) 6.21848i 0.302711i
\(423\) 4.61913 + 38.1483i 0.224590 + 1.85483i
\(424\) −10.5617 18.2935i −0.512923 0.888409i
\(425\) −0.887103 −0.0430308
\(426\) 0.840476 4.11342i 0.0407212 0.199296i
\(427\) −5.86083 0.245758i −0.283626 0.0118931i
\(428\) 0.792429i 0.0383035i
\(429\) −1.36472 + 6.01632i −0.0658895 + 0.290471i
\(430\) −0.664401 + 0.383592i −0.0320403 + 0.0184985i
\(431\) 13.8352i 0.666416i −0.942853 0.333208i \(-0.891869\pi\)
0.942853 0.333208i \(-0.108131\pi\)
\(432\) 1.24341 + 0.101005i 0.0598238 + 0.00485959i
\(433\) −10.1569 + 5.86410i −0.488111 + 0.281811i −0.723790 0.690020i \(-0.757602\pi\)
0.235680 + 0.971831i \(0.424268\pi\)
\(434\) 9.20759 + 5.84357i 0.441979 + 0.280500i
\(435\) 1.37696 1.55374i 0.0660202 0.0744964i
\(436\) 14.9236 0.714713
\(437\) 5.82281 + 10.0854i 0.278543 + 0.482450i
\(438\) −2.80639 + 13.7349i −0.134094 + 0.656280i
\(439\) 23.7717 13.7246i 1.13456 0.655039i 0.189483 0.981884i \(-0.439319\pi\)
0.945078 + 0.326845i \(0.105985\pi\)
\(440\) −2.91153 + 5.04292i −0.138802 + 0.240412i
\(441\) −17.7892 + 11.1599i −0.847106 + 0.531424i
\(442\) −2.90198 + 4.78560i −0.138033 + 0.227628i
\(443\) −23.7433 13.7082i −1.12808 0.651298i −0.184629 0.982808i \(-0.559108\pi\)
−0.943451 + 0.331511i \(0.892442\pi\)
\(444\) −6.97165 + 2.32619i −0.330860 + 0.110396i
\(445\) 11.0260 0.522681
\(446\) −1.16323 −0.0550806
\(447\) 4.12401 + 12.3598i 0.195059 + 0.584598i
\(448\) 0.484040 11.5434i 0.0228688 0.545374i
\(449\) −5.57195 + 3.21697i −0.262957 + 0.151818i −0.625683 0.780078i \(-0.715179\pi\)
0.362726 + 0.931896i \(0.381846\pi\)
\(450\) −1.20995 + 0.146505i −0.0570375 + 0.00690630i
\(451\) 8.44488 + 4.87566i 0.397654 + 0.229586i
\(452\) 9.09147i 0.427627i
\(453\) −4.59370 4.07103i −0.215831 0.191274i
\(454\) 2.51455i 0.118013i
\(455\) 9.00515 + 18.1675i 0.422168 + 0.851707i
\(456\) 32.6129 10.8817i 1.52724 0.509585i
\(457\) −11.9978 20.7809i −0.561235 0.972088i −0.997389 0.0722160i \(-0.976993\pi\)
0.436154 0.899872i \(-0.356340\pi\)
\(458\) −10.0677 −0.470433
\(459\) −4.09671 8.64480i −0.191218 0.403505i
\(460\) 3.86095 + 2.22912i 0.180018 + 0.103933i
\(461\) 3.15743 + 5.46883i 0.147056 + 0.254709i 0.930138 0.367210i \(-0.119687\pi\)
−0.783082 + 0.621918i \(0.786354\pi\)
\(462\) −2.64894 + 2.74794i −0.123240 + 0.127846i
\(463\) −4.43562 −0.206141 −0.103070 0.994674i \(-0.532867\pi\)
−0.103070 + 0.994674i \(0.532867\pi\)
\(464\) 0.135384i 0.00628504i
\(465\) 5.69669 + 17.0731i 0.264178 + 0.791748i
\(466\) −13.9729 −0.647284
\(467\) 2.04445 3.54109i 0.0946057 0.163862i −0.814838 0.579688i \(-0.803174\pi\)
0.909444 + 0.415826i \(0.136508\pi\)
\(468\) 5.74448 12.7057i 0.265539 0.587323i
\(469\) 0.271996 6.48656i 0.0125596 0.299522i
\(470\) 19.8803 + 11.4779i 0.917009 + 0.529436i
\(471\) 16.8758 19.0425i 0.777596 0.877430i
\(472\) 28.6429 + 16.5370i 1.31840 + 0.761177i
\(473\) 0.366224 0.211439i 0.0168390 0.00972199i
\(474\) 6.72577 + 20.1573i 0.308925 + 0.925856i
\(475\) 2.98684 1.72445i 0.137046 0.0791234i
\(476\) 5.56477 2.90905i 0.255061 0.133336i
\(477\) 8.96392 21.0197i 0.410430 0.962424i
\(478\) −12.4932 21.6388i −0.571424 0.989735i
\(479\) 30.3359 1.38608 0.693042 0.720897i \(-0.256270\pi\)
0.693042 + 0.720897i \(0.256270\pi\)
\(480\) 14.0376 15.8398i 0.640725 0.722986i
\(481\) −0.255276 + 11.8652i −0.0116396 + 0.541005i
\(482\) −15.2814 −0.696048
\(483\) 5.36790 + 5.17452i 0.244248 + 0.235449i
\(484\) −6.46117 + 11.1911i −0.293690 + 0.508686i
\(485\) 0.424099i 0.0192573i
\(486\) −7.01532 11.1143i −0.318221 0.504157i
\(487\) 18.2717 31.6476i 0.827971 1.43409i −0.0716562 0.997429i \(-0.522828\pi\)
0.899627 0.436659i \(-0.143838\pi\)
\(488\) 6.14850 0.278330
\(489\) −1.46814 + 0.489866i −0.0663917 + 0.0221525i
\(490\) −1.05025 + 12.5011i −0.0474453 + 0.564743i
\(491\) −21.6683 12.5102i −0.977875 0.564577i −0.0762474 0.997089i \(-0.524294\pi\)
−0.901628 + 0.432512i \(0.857627\pi\)
\(492\) −16.4952 14.6184i −0.743662 0.659048i
\(493\) −0.899086 + 0.519087i −0.0404928 + 0.0233785i
\(494\) 0.468034 21.7541i 0.0210579 0.978765i
\(495\) −6.25367 + 0.757217i −0.281082 + 0.0340344i
\(496\) 1.01645 + 0.586849i 0.0456400 + 0.0263503i
\(497\) 3.52386 + 6.74084i 0.158067 + 0.302368i
\(498\) −14.0076 + 15.8060i −0.627694 + 0.708282i
\(499\) −8.03279 + 13.9132i −0.359597 + 0.622841i −0.987894 0.155133i \(-0.950419\pi\)
0.628296 + 0.777974i \(0.283753\pi\)
\(500\) 7.51055 13.0087i 0.335882 0.581765i
\(501\) 1.94777 9.53271i 0.0870201 0.425890i
\(502\) −5.54789 3.20308i −0.247614 0.142960i
\(503\) 19.4463 + 33.6820i 0.867069 + 1.50181i 0.864978 + 0.501810i \(0.167332\pi\)
0.00209081 + 0.999998i \(0.499334\pi\)
\(504\) 18.1396 12.4683i 0.808000 0.555382i
\(505\) 6.39120 11.0699i 0.284405 0.492603i
\(506\) 1.17357 + 0.677563i 0.0521717 + 0.0301214i
\(507\) −16.1936 15.6451i −0.719182 0.694822i
\(508\) −7.00662 12.1358i −0.310869 0.538440i
\(509\) 15.0919 + 26.1400i 0.668939 + 1.15864i 0.978201 + 0.207659i \(0.0665845\pi\)
−0.309262 + 0.950977i \(0.600082\pi\)
\(510\) −5.59916 1.14405i −0.247935 0.0506593i
\(511\) −11.7663 22.5080i −0.520511 0.995695i
\(512\) 2.71177i 0.119845i
\(513\) 30.5983 + 21.1431i 1.35095 + 0.933489i
\(514\) −17.3059 9.99155i −0.763329 0.440708i
\(515\) −17.9033 + 10.3365i −0.788915 + 0.455480i
\(516\) −0.906682 + 0.302527i −0.0399144 + 0.0133180i
\(517\) −10.9582 6.32671i −0.481941 0.278249i
\(518\) −3.93448 + 6.19947i −0.172871 + 0.272389i
\(519\) −23.6877 + 7.90373i −1.03977 + 0.346935i
\(520\) −10.2284 18.6304i −0.448543 0.816995i
\(521\) 16.6107 + 28.7706i 0.727729 + 1.26046i 0.957841 + 0.287299i \(0.0927573\pi\)
−0.230112 + 0.973164i \(0.573909\pi\)
\(522\) −1.14056 + 0.856483i −0.0499211 + 0.0374872i
\(523\) 16.7501 9.67070i 0.732432 0.422870i −0.0868789 0.996219i \(-0.527689\pi\)
0.819311 + 0.573349i \(0.194356\pi\)
\(524\) 11.1760 + 19.3574i 0.488227 + 0.845634i
\(525\) 1.53246 1.58973i 0.0668821 0.0693816i
\(526\) 7.40330 + 12.8229i 0.322799 + 0.559104i
\(527\) 9.00036i 0.392062i
\(528\) −0.272453 + 0.307433i −0.0118570 + 0.0133793i
\(529\) −10.1764 + 17.6261i −0.442453 + 0.766352i
\(530\) −6.82552 11.8221i −0.296482 0.513521i
\(531\) 4.30086 + 35.5197i 0.186641 + 1.54143i
\(532\) −13.0814 + 20.6121i −0.567151 + 0.893648i
\(533\) −31.1984 + 17.1284i −1.35135 + 0.741914i
\(534\) −7.42186 1.51647i −0.321175 0.0656242i
\(535\) 1.30661i 0.0564898i
\(536\) 6.80494i 0.293929i
\(537\) −12.2250 36.6386i −0.527546 1.58107i
\(538\) 20.0171i 0.863000i
\(539\) 0.578905 6.89072i 0.0249352 0.296804i
\(540\) 14.1915 + 1.15280i 0.610705 + 0.0496087i
\(541\) −13.4353 + 23.2706i −0.577629 + 1.00048i 0.418122 + 0.908391i \(0.362689\pi\)
−0.995751 + 0.0920914i \(0.970645\pi\)
\(542\) 12.7772 22.1308i 0.548828 0.950599i
\(543\) −3.43700 10.3008i −0.147496 0.442049i
\(544\) −9.16583 + 5.29189i −0.392982 + 0.226888i
\(545\) 24.6071 1.05405
\(546\) −3.56290 13.4676i −0.152478 0.576358i
\(547\) −30.2508 −1.29343 −0.646716 0.762731i \(-0.723858\pi\)
−0.646716 + 0.762731i \(0.723858\pi\)
\(548\) 14.2451 8.22442i 0.608521 0.351330i
\(549\) 3.99400 + 5.31875i 0.170460 + 0.226999i
\(550\) 0.200664 0.347560i 0.00855634 0.0148200i
\(551\) 2.01813 3.49550i 0.0859750 0.148913i
\(552\) −5.84872 5.18325i −0.248938 0.220614i
\(553\) −32.5051 20.6293i −1.38226 0.877245i
\(554\) 14.8232i 0.629778i
\(555\) −11.4953 + 3.83558i −0.487950 + 0.162811i
\(556\) 20.2456i 0.858604i
\(557\) 26.9538i 1.14207i 0.820926 + 0.571034i \(0.193458\pi\)
−0.820926 + 0.571034i \(0.806542\pi\)
\(558\) −1.48641 12.2759i −0.0629246 0.519679i
\(559\) −0.0331993 + 1.54310i −0.00140418 + 0.0652660i
\(560\) −0.0565664 + 1.34899i −0.00239037 + 0.0570054i
\(561\) 3.08630 + 0.630610i 0.130304 + 0.0266244i
\(562\) 11.4456 + 19.8244i 0.482803 + 0.836240i
\(563\) 3.82050 6.61729i 0.161015 0.278886i −0.774218 0.632919i \(-0.781857\pi\)
0.935233 + 0.354033i \(0.115190\pi\)
\(564\) 21.4044 + 18.9690i 0.901288 + 0.798740i
\(565\) 14.9906i 0.630661i
\(566\) 3.01986 + 5.23056i 0.126934 + 0.219857i
\(567\) 22.5689 + 7.59230i 0.947806 + 0.318847i
\(568\) −3.98634 6.90454i −0.167263 0.289708i
\(569\) 3.23724 1.86902i 0.135712 0.0783534i −0.430607 0.902540i \(-0.641700\pi\)
0.566319 + 0.824186i \(0.308367\pi\)
\(570\) 21.0761 7.03233i 0.882780 0.294552i
\(571\) 7.51056 + 13.0087i 0.314307 + 0.544396i 0.979290 0.202463i \(-0.0648945\pi\)
−0.664983 + 0.746859i \(0.731561\pi\)
\(572\) 2.20971 + 4.02487i 0.0923928 + 0.168288i
\(573\) −2.70454 8.10559i −0.112984 0.338616i
\(574\) −22.0006 0.922534i −0.918286 0.0385058i
\(575\) −0.678935 0.391983i −0.0283135 0.0163468i
\(576\) −10.4757 + 7.86652i −0.436488 + 0.327772i
\(577\) 15.7668 9.10299i 0.656382 0.378963i −0.134515 0.990912i \(-0.542948\pi\)
0.790897 + 0.611949i \(0.209614\pi\)
\(578\) −9.93809 5.73776i −0.413370 0.238659i
\(579\) 8.84198 2.95025i 0.367460 0.122608i
\(580\) 1.54518i 0.0641602i
\(581\) 1.60304 38.2293i 0.0665053 1.58602i
\(582\) 0.0583291 0.285472i 0.00241782 0.0118332i
\(583\) 3.76228 + 6.51647i 0.155818 + 0.269885i
\(584\) 13.3106 + 23.0546i 0.550796 + 0.954006i
\(585\) 9.47190 20.9501i 0.391615 0.866180i
\(586\) −16.6433 9.60900i −0.687528 0.396944i
\(587\) −2.83282 + 4.90659i −0.116923 + 0.202516i −0.918547 0.395312i \(-0.870636\pi\)
0.801624 + 0.597829i \(0.203970\pi\)
\(588\) −4.39992 + 14.9977i −0.181450 + 0.618494i
\(589\) 17.4959 + 30.3039i 0.720908 + 1.24865i
\(590\) 18.5105 + 10.6870i 0.762064 + 0.439978i
\(591\) −3.40830 0.696401i −0.140199 0.0286461i
\(592\) −0.395125 + 0.684377i −0.0162395 + 0.0281277i
\(593\) −1.76064 + 3.04952i −0.0723010 + 0.125229i −0.899909 0.436077i \(-0.856368\pi\)
0.827608 + 0.561306i \(0.189701\pi\)
\(594\) 4.31365 + 0.350405i 0.176991 + 0.0143773i
\(595\) 9.17558 4.79664i 0.376162 0.196643i
\(596\) 8.39841 + 4.84883i 0.344012 + 0.198616i
\(597\) 3.19661 + 0.653149i 0.130829 + 0.0267316i
\(598\) −4.33560 + 2.38031i −0.177296 + 0.0973383i
\(599\) −22.9515 + 13.2511i −0.937774 + 0.541424i −0.889262 0.457398i \(-0.848781\pi\)
−0.0485125 + 0.998823i \(0.515448\pi\)
\(600\) −1.53505 + 1.73213i −0.0626681 + 0.0707139i
\(601\) 24.6360 + 14.2236i 1.00492 + 0.580194i 0.909702 0.415262i \(-0.136310\pi\)
0.0952232 + 0.995456i \(0.469644\pi\)
\(602\) −0.511689 + 0.806258i −0.0208549 + 0.0328606i
\(603\) −5.88660 + 4.42042i −0.239721 + 0.180014i
\(604\) −4.56839 −0.185885
\(605\) −10.6536 + 18.4526i −0.433132 + 0.750206i
\(606\) −5.82459 + 6.57240i −0.236608 + 0.266985i
\(607\) 9.70112i 0.393756i 0.980428 + 0.196878i \(0.0630803\pi\)
−0.980428 + 0.196878i \(0.936920\pi\)
\(608\) 20.5740 35.6352i 0.834386 1.44520i
\(609\) 0.622932 2.50792i 0.0252425 0.101626i
\(610\) 3.97347 0.160881
\(611\) 40.4834 22.2261i 1.63779 0.899170i
\(612\) −6.54934 2.79299i −0.264742 0.112900i
\(613\) −8.46434 −0.341871 −0.170936 0.985282i \(-0.554679\pi\)
−0.170936 + 0.985282i \(0.554679\pi\)
\(614\) 10.5281 + 18.2353i 0.424882 + 0.735916i
\(615\) −27.1985 24.1038i −1.09675 0.971960i
\(616\) −0.303659 + 7.24167i −0.0122348 + 0.291775i
\(617\) −10.0946 + 5.82812i −0.406393 + 0.234631i −0.689239 0.724534i \(-0.742055\pi\)
0.282846 + 0.959165i \(0.408722\pi\)
\(618\) 13.4728 4.49539i 0.541957 0.180831i
\(619\) 25.2951 14.6041i 1.01669 0.586989i 0.103550 0.994624i \(-0.466980\pi\)
0.913145 + 0.407635i \(0.133646\pi\)
\(620\) 11.6011 + 6.69790i 0.465912 + 0.268994i
\(621\) 0.684492 8.42641i 0.0274677 0.338140i
\(622\) 13.1499 + 7.59212i 0.527265 + 0.304416i
\(623\) 12.1625 6.35810i 0.487281 0.254732i
\(624\) −0.443848 1.43212i −0.0177681 0.0573306i
\(625\) 11.1793 19.3631i 0.447172 0.774524i
\(626\) −17.0902 −0.683063
\(627\) −11.6173 + 3.87628i −0.463951 + 0.154804i
\(628\) 18.9375i 0.755688i
\(629\) 6.05994 0.241626
\(630\) 11.7227 8.05763i 0.467043 0.321024i
\(631\) 12.7791 + 22.1340i 0.508727 + 0.881141i 0.999949 + 0.0101065i \(0.00321706\pi\)
−0.491222 + 0.871034i \(0.663450\pi\)
\(632\) 34.9466 + 20.1764i 1.39010 + 0.802575i
\(633\) −2.55734 + 12.5160i −0.101645 + 0.497467i
\(634\) −7.91217 −0.314232
\(635\) −11.5530 20.0104i −0.458467 0.794088i
\(636\) −5.38307 16.1332i −0.213453 0.639724i
\(637\) 20.4097 + 14.8474i 0.808660 + 0.588276i
\(638\) 0.469673i 0.0185945i
\(639\) 3.38327 7.93350i 0.133840 0.313844i
\(640\) 16.6131i 0.656689i
\(641\) −29.6869 17.1398i −1.17256 0.676980i −0.218281 0.975886i \(-0.570045\pi\)
−0.954282 + 0.298906i \(0.903378\pi\)
\(642\) 0.179707 0.879514i 0.00709246 0.0347116i
\(643\) 19.3892 11.1943i 0.764634 0.441462i −0.0663229 0.997798i \(-0.521127\pi\)
0.830957 + 0.556336i \(0.187793\pi\)
\(644\) 5.54435 + 0.232487i 0.218478 + 0.00916127i
\(645\) −1.49500 + 0.498827i −0.0588656 + 0.0196413i
\(646\) −11.1106 −0.437140
\(647\) 20.6083 0.810197 0.405098 0.914273i \(-0.367237\pi\)
0.405098 + 0.914273i \(0.367237\pi\)
\(648\) −23.9685 6.95990i −0.941573 0.273411i
\(649\) −10.2031 5.89078i −0.400508 0.231233i
\(650\) 0.704943 + 1.28401i 0.0276501 + 0.0503631i
\(651\) 16.1291 + 15.5480i 0.632149 + 0.609376i
\(652\) −0.575962 + 0.997595i −0.0225564 + 0.0390688i
\(653\) 23.8267 13.7563i 0.932410 0.538327i 0.0448370 0.998994i \(-0.485723\pi\)
0.887573 + 0.460667i \(0.152390\pi\)
\(654\) −16.5637 3.38438i −0.647691 0.132340i
\(655\) 18.4278 + 31.9179i 0.720034 + 1.24713i
\(656\) −2.36991 −0.0925293
\(657\) −11.2969 + 26.4903i −0.440734 + 1.03349i
\(658\) 28.5482 + 1.19709i 1.11293 + 0.0466675i
\(659\) −33.0777 + 19.0974i −1.28852 + 0.743929i −0.978391 0.206764i \(-0.933707\pi\)
−0.310132 + 0.950693i \(0.600373\pi\)
\(660\) −3.10960 + 3.50884i −0.121041 + 0.136581i
\(661\) 6.67645i 0.259684i 0.991535 + 0.129842i \(0.0414470\pi\)
−0.991535 + 0.129842i \(0.958553\pi\)
\(662\) 13.7335 7.92907i 0.533770 0.308172i
\(663\) −7.80891 + 8.43861i −0.303273 + 0.327728i
\(664\) 40.1057i 1.55640i
\(665\) −21.5695 + 33.9867i −0.836431 + 1.31795i
\(666\) 8.26534 1.00080i 0.320275 0.0387801i
\(667\) −0.917474 −0.0355247
\(668\) −3.62078 6.27137i −0.140092 0.242646i
\(669\) −2.34125 0.478377i −0.0905180 0.0184951i
\(670\) 4.39769i 0.169898i
\(671\) −2.19021 −0.0845521
\(672\) 6.35055 25.5673i 0.244978 0.986280i
\(673\) 5.54228 9.59951i 0.213639 0.370034i −0.739212 0.673473i \(-0.764802\pi\)
0.952851 + 0.303439i \(0.0981350\pi\)
\(674\) −15.1751 + 8.76136i −0.584524 + 0.337475i
\(675\) −2.49553 0.202716i −0.0960528 0.00780254i
\(676\) −16.7431 0.720780i −0.643965 0.0277223i
\(677\) −14.9397 + 25.8763i −0.574178 + 0.994506i 0.421952 + 0.906618i \(0.361345\pi\)
−0.996130 + 0.0878879i \(0.971988\pi\)
\(678\) −2.06176 + 10.0906i −0.0791814 + 0.387526i
\(679\) 0.244556 + 0.467815i 0.00938519 + 0.0179531i
\(680\) −9.39841 + 5.42617i −0.360413 + 0.208084i
\(681\) 1.03410 5.06106i 0.0396269 0.193940i
\(682\) 3.52627 + 2.03589i 0.135028 + 0.0779584i
\(683\) 3.29835 + 1.90431i 0.126208 + 0.0728662i 0.561775 0.827290i \(-0.310119\pi\)
−0.435567 + 0.900156i \(0.643452\pi\)
\(684\) 27.4807 3.32747i 1.05075 0.127229i
\(685\) 23.4883 13.5610i 0.897443 0.518139i
\(686\) 6.05023 + 14.3953i 0.230999 + 0.549616i
\(687\) −20.2634 4.14033i −0.773098 0.157963i
\(688\) −0.0513871 + 0.0890050i −0.00195911 + 0.00339329i
\(689\) −27.4574 0.590738i −1.04604 0.0225053i
\(690\) −3.77973 3.34968i −0.143892 0.127520i
\(691\) −28.0069 + 16.1698i −1.06543 + 0.615127i −0.926930 0.375235i \(-0.877562\pi\)
−0.138501 + 0.990362i \(0.544229\pi\)
\(692\) −9.29284 + 16.0957i −0.353261 + 0.611866i
\(693\) −6.46164 + 4.44144i −0.245458 + 0.168716i
\(694\) 2.21736 0.0841699
\(695\) 33.3823i 1.26626i
\(696\) −0.542229 + 2.65376i −0.0205531 + 0.100590i
\(697\) 9.08668 + 15.7386i 0.344182 + 0.596141i
\(698\) 1.98687 0.0752041
\(699\) −28.1235 5.74635i −1.06373 0.217347i
\(700\) 0.0688523 1.64199i 0.00260237 0.0620613i
\(701\) 8.39232i 0.316974i −0.987361 0.158487i \(-0.949338\pi\)
0.987361 0.158487i \(-0.0506616\pi\)
\(702\) −9.25718 + 12.7993i −0.349390 + 0.483079i
\(703\) −20.4036 + 11.7800i −0.769536 + 0.444292i
\(704\) 4.31380i 0.162582i
\(705\) 35.2931 + 31.2774i 1.32921 + 1.17798i
\(706\) 16.6241 9.59791i 0.625655 0.361222i
\(707\) 0.666573 15.8964i 0.0250690 0.597847i
\(708\) 19.9296 + 17.6620i 0.748999 + 0.663778i
\(709\) 27.1958 1.02136 0.510679 0.859771i \(-0.329394\pi\)
0.510679 + 0.859771i \(0.329394\pi\)
\(710\) −2.57617 4.46206i −0.0966820 0.167458i
\(711\) 5.24738 + 43.3368i 0.196792 + 1.62526i
\(712\) −12.4579 + 7.19256i −0.466879 + 0.269553i
\(713\) 3.97698 6.88832i 0.148939 0.257970i
\(714\) −6.83603 + 1.96677i −0.255832 + 0.0736044i
\(715\) 3.64353 + 6.63648i 0.136260 + 0.248190i
\(716\) −24.8957 14.3735i −0.930397 0.537165i
\(717\) −16.2462 48.6905i −0.606727 1.81838i
\(718\) 5.68544 0.212179
\(719\) −29.4101 −1.09681 −0.548405 0.836213i \(-0.684765\pi\)
−0.548405 + 0.836213i \(0.684765\pi\)
\(720\) 1.22422 0.919304i 0.0456240 0.0342604i
\(721\) −13.7883 + 21.7259i −0.513502 + 0.809114i
\(722\) 23.5355 13.5882i 0.875902 0.505702i
\(723\) −30.7570 6.28444i −1.14387 0.233721i
\(724\) −6.99934 4.04107i −0.260128 0.150185i
\(725\) 0.271715i 0.0100912i
\(726\) 9.70914 10.9557i 0.360340 0.406603i
\(727\) 31.8635i 1.18175i −0.806763 0.590876i \(-0.798782\pi\)
0.806763 0.590876i \(-0.201218\pi\)
\(728\) −22.0258 14.6526i −0.816332 0.543061i
\(729\) −9.54908 25.2550i −0.353669 0.935370i
\(730\) 8.60196 + 14.8990i 0.318373 + 0.551438i
\(731\) 0.788112 0.0291494
\(732\) 4.85026 + 0.991031i 0.179271 + 0.0366295i
\(733\) −8.03692 4.64012i −0.296850 0.171387i 0.344177 0.938905i \(-0.388158\pi\)
−0.641027 + 0.767518i \(0.721491\pi\)
\(734\) 5.38599 + 9.32881i 0.198801 + 0.344333i
\(735\) −7.25490 + 24.7292i −0.267601 + 0.912152i
\(736\) −9.35328 −0.344767
\(737\) 2.42405i 0.0892909i
\(738\) 14.9928 + 19.9657i 0.551893 + 0.734947i
\(739\) 38.3327 1.41009 0.705046 0.709162i \(-0.250926\pi\)
0.705046 + 0.709162i \(0.250926\pi\)
\(740\) −4.50970 + 7.81103i −0.165780 + 0.287139i
\(741\) 9.88836 43.5924i 0.363258 1.60141i
\(742\) −14.3463 9.10484i −0.526669 0.334249i
\(743\) 41.4254 + 23.9170i 1.51975 + 0.877428i 0.999729 + 0.0232753i \(0.00740942\pi\)
0.520022 + 0.854153i \(0.325924\pi\)
\(744\) −17.5738 15.5743i −0.644287 0.570980i
\(745\) 13.8479 + 7.99508i 0.507347 + 0.292917i
\(746\) 18.7696 10.8367i 0.687205 0.396758i
\(747\) −34.6934 + 26.0523i −1.26936 + 0.953203i
\(748\) 2.03041 1.17226i 0.0742393 0.0428621i
\(749\) 0.753455 + 1.44130i 0.0275306 + 0.0526638i
\(750\) −11.2860 + 12.7350i −0.412107 + 0.465017i
\(751\) 9.80592 + 16.9844i 0.357823 + 0.619768i 0.987597 0.157011i \(-0.0501857\pi\)
−0.629774 + 0.776779i \(0.716852\pi\)
\(752\) 3.07522 0.112142
\(753\) −9.84905 8.72843i −0.358919 0.318082i
\(754\) 1.46580 + 0.888859i 0.0533814 + 0.0323703i
\(755\) −7.53267 −0.274142
\(756\) 16.3191 6.91187i 0.593520 0.251382i
\(757\) −6.86398 + 11.8888i −0.249476 + 0.432105i −0.963380 0.268138i \(-0.913592\pi\)
0.713905 + 0.700243i \(0.246925\pi\)
\(758\) 25.7339i 0.934699i
\(759\) 2.08342 + 1.84637i 0.0756234 + 0.0670190i
\(760\) 21.0961 36.5394i 0.765234 1.32542i
\(761\) 22.7887 0.826090 0.413045 0.910711i \(-0.364465\pi\)
0.413045 + 0.910711i \(0.364465\pi\)
\(762\) 5.02446 + 15.0585i 0.182017 + 0.545510i
\(763\) 27.1436 14.1896i 0.982664 0.513700i
\(764\) −5.50771 3.17988i −0.199262 0.115044i
\(765\) −10.7990 4.60528i −0.390439 0.166504i
\(766\) −6.05112 + 3.49362i −0.218636 + 0.126230i
\(767\) 37.6940 20.6946i 1.36105 0.747239i
\(768\) −5.31319 + 26.0036i −0.191723 + 0.938324i
\(769\) −20.0316 11.5653i −0.722359 0.417054i 0.0932614 0.995642i \(-0.470271\pi\)
−0.815620 + 0.578588i \(0.803604\pi\)
\(770\)