Properties

Label 289.2.h.a.115.13
Level $289$
Weight $2$
Character 289.115
Analytic conductor $2.308$
Analytic rank $0$
Dimension $768$
CM no
Inner twists $2$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [289,2,Mod(4,289)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(289, base_ring=CyclotomicField(68))
 
chi = DirichletCharacter(H, H._module([27]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("289.4");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 289 = 17^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 289.h (of order \(68\), degree \(32\), 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: \(2.30767661842\)
Analytic rank: \(0\)
Dimension: \(768\)
Relative dimension: \(24\) over \(\Q(\zeta_{68})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{68}]$

Embedding invariants

Embedding label 115.13
Character \(\chi\) \(=\) 289.115
Dual form 289.2.h.a.191.13

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(0.00255620 - 0.00280401i) q^{2} +(1.02209 - 1.83500i) q^{3} +(0.184535 + 1.99145i) q^{4} +(-0.387668 + 2.77910i) q^{5} +(-0.00253271 - 0.00755656i) q^{6} +(0.121150 - 0.515098i) q^{7} +(0.0121116 + 0.00914625i) q^{8} +(-0.743261 - 1.20041i) q^{9} +O(q^{10})\) \(q+(0.00255620 - 0.00280401i) q^{2} +(1.02209 - 1.83500i) q^{3} +(0.184535 + 1.99145i) q^{4} +(-0.387668 + 2.77910i) q^{5} +(-0.00253271 - 0.00755656i) q^{6} +(0.121150 - 0.515098i) q^{7} +(0.0121116 + 0.00914625i) q^{8} +(-0.743261 - 1.20041i) q^{9} +(0.00680168 + 0.00819096i) q^{10} +(3.29081 + 2.73265i) q^{11} +(3.84293 + 1.69682i) q^{12} +(-0.720254 + 0.953771i) q^{13} +(-0.00113466 - 0.00165640i) q^{14} +(4.70342 + 3.55186i) q^{15} +(-3.93181 + 0.734982i) q^{16} +(-1.08732 - 3.97715i) q^{17} +(-0.00526588 - 0.000984363i) q^{18} +(1.13021 + 1.23978i) q^{19} +(-5.60599 - 0.259181i) q^{20} +(-0.821378 - 0.748785i) q^{21} +(0.0160743 - 0.00224228i) q^{22} +(0.827033 - 3.51633i) q^{23} +(0.0291625 - 0.0128765i) q^{24} +(-2.76399 - 0.786424i) q^{25} +(0.000833275 + 0.00445763i) q^{26} +(3.33220 - 0.154057i) q^{27} +(1.04815 + 0.146211i) q^{28} +(5.48908 - 6.61025i) q^{29} +(0.0219823 - 0.00410921i) q^{30} +(-3.81076 + 0.531578i) q^{31} +(-0.0239690 + 0.0387113i) q^{32} +(8.37791 - 3.24562i) q^{33} +(-0.0139314 - 0.00711753i) q^{34} +(1.38454 + 0.536375i) q^{35} +(2.25340 - 1.70169i) q^{36} +(-1.93707 - 4.38704i) q^{37} +0.00636541 q^{38} +(1.01401 + 2.29650i) q^{39} +(-0.0301136 + 0.0301136i) q^{40} +(-4.97550 - 2.77133i) q^{41} +(-0.00419921 + 0.000389114i) q^{42} +(-1.13069 + 6.04865i) q^{43} +(-4.83468 + 7.05776i) q^{44} +(3.62419 - 1.60024i) q^{45} +(-0.00774578 - 0.0113074i) q^{46} +(-7.76186 - 4.80594i) q^{47} +(-2.66996 + 7.96608i) q^{48} +(6.01549 + 2.99536i) q^{49} +(-0.00927045 + 0.00574002i) q^{50} +(-8.40940 - 2.06977i) q^{51} +(-2.03230 - 1.25835i) q^{52} +(-2.32379 - 3.75305i) q^{53} +(0.00808578 - 0.00973733i) q^{54} +(-8.87006 + 8.08613i) q^{55} +(0.00617853 - 0.00513059i) q^{56} +(3.43017 - 0.806769i) q^{57} +(-0.00450406 - 0.0322885i) q^{58} +(-4.62575 + 2.30335i) q^{59} +(-6.20541 + 10.0221i) q^{60} +(3.06051 + 9.13131i) q^{61} +(-0.00825049 + 0.0120442i) q^{62} +(-0.708373 + 0.237423i) q^{63} +(-2.18921 - 7.69427i) q^{64} +(-2.37141 - 2.37141i) q^{65} +(0.0123148 - 0.0317882i) q^{66} +(9.90446 - 9.02911i) q^{67} +(7.71967 - 2.89927i) q^{68} +(-5.60716 - 5.11160i) q^{69} +(0.00504317 - 0.00251120i) q^{70} +(-7.36953 - 1.73330i) q^{71} +(0.00197715 - 0.0213369i) q^{72} +(1.45673 + 0.997886i) q^{73} +(-0.0172528 - 0.00578257i) q^{74} +(-4.26813 + 4.26813i) q^{75} +(-2.26041 + 2.47955i) q^{76} +(1.80626 - 1.36403i) q^{77} +(0.00903142 + 0.00302703i) q^{78} +(-0.555153 + 12.0078i) q^{79} +(-0.518354 - 11.2118i) q^{80} +(5.01110 - 10.0636i) q^{81} +(-0.0204892 + 0.00686729i) q^{82} +(-2.71925 - 0.773694i) q^{83} +(1.33960 - 1.77391i) q^{84} +(11.4744 - 1.47995i) q^{85} +(0.0140702 + 0.0186320i) q^{86} +(-6.51947 - 16.8287i) q^{87} +(0.0148634 + 0.0631953i) q^{88} +(-7.72143 - 10.2248i) q^{89} +(0.00477706 - 0.0142528i) q^{90} +(0.404027 + 0.486551i) q^{91} +(7.15522 + 0.998111i) q^{92} +(-2.91948 + 7.53605i) q^{93} +(-0.0333168 + 0.00947944i) q^{94} +(-3.88363 + 2.66035i) q^{95} +(0.0465367 + 0.0835494i) q^{96} +(-4.89505 - 1.15130i) q^{97} +(0.0237758 - 0.00921080i) q^{98} +(0.834367 - 5.98138i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 768 q - 34 q^{2} - 34 q^{3} + 14 q^{4} - 34 q^{5} - 34 q^{6} - 34 q^{7} - 34 q^{8} - 34 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 768 q - 34 q^{2} - 34 q^{3} + 14 q^{4} - 34 q^{5} - 34 q^{6} - 34 q^{7} - 34 q^{8} - 34 q^{9} + 34 q^{10} - 34 q^{11} - 34 q^{12} - 30 q^{13} - 34 q^{14} - 34 q^{15} - 82 q^{16} - 34 q^{17} - 42 q^{18} - 34 q^{19} - 34 q^{20} - 26 q^{21} - 34 q^{22} - 34 q^{23} - 204 q^{24} + 170 q^{25} - 34 q^{26} - 34 q^{27} - 34 q^{28} - 34 q^{29} - 14 q^{30} - 34 q^{31} - 34 q^{32} + 56 q^{33} - 34 q^{34} - 42 q^{35} - 34 q^{36} - 34 q^{37} + 144 q^{38} - 170 q^{39} - 34 q^{40} - 34 q^{41} - 34 q^{42} - 34 q^{43} - 34 q^{44} - 34 q^{45} + 102 q^{46} - 30 q^{47} - 34 q^{48} - 34 q^{49} - 62 q^{50} + 238 q^{51} - 50 q^{52} + 136 q^{54} - 14 q^{55} - 34 q^{56} - 34 q^{57} - 34 q^{58} - 34 q^{59} - 34 q^{60} - 34 q^{61} - 238 q^{62} - 34 q^{63} + 38 q^{64} - 34 q^{65} + 476 q^{66} + 82 q^{67} - 34 q^{68} - 62 q^{69} - 34 q^{70} - 34 q^{71} + 10 q^{72} - 34 q^{73} - 34 q^{74} + 102 q^{75} - 102 q^{76} - 374 q^{77} - 34 q^{78} + 68 q^{79} - 34 q^{80} + 30 q^{81} - 34 q^{82} + 102 q^{83} - 82 q^{84} - 204 q^{85} - 62 q^{86} - 34 q^{87} + 170 q^{88} - 22 q^{89} - 34 q^{90} - 34 q^{91} + 34 q^{92} - 34 q^{93} + 238 q^{94} - 34 q^{95} + 544 q^{96} - 34 q^{97} + 10 q^{98} - 34 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/289\mathbb{Z}\right)^\times\).

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{45}{68}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.00255620 0.00280401i 0.00180750 0.00198274i −0.738105 0.674686i \(-0.764279\pi\)
0.739912 + 0.672704i \(0.234867\pi\)
\(3\) 1.02209 1.83500i 0.590103 1.05944i −0.399653 0.916666i \(-0.630869\pi\)
0.989756 0.142771i \(-0.0456011\pi\)
\(4\) 0.184535 + 1.99145i 0.0922677 + 0.995727i
\(5\) −0.387668 + 2.77910i −0.173370 + 1.24285i 0.684510 + 0.729003i \(0.260016\pi\)
−0.857881 + 0.513849i \(0.828219\pi\)
\(6\) −0.00253271 0.00755656i −0.00103397 0.00308495i
\(7\) 0.121150 0.515098i 0.0457904 0.194689i −0.945663 0.325147i \(-0.894586\pi\)
0.991454 + 0.130459i \(0.0416450\pi\)
\(8\) 0.0121116 + 0.00914625i 0.00428209 + 0.00323369i
\(9\) −0.743261 1.20041i −0.247754 0.400136i
\(10\) 0.00680168 + 0.00819096i 0.00215088 + 0.00259021i
\(11\) 3.29081 + 2.73265i 0.992216 + 0.823926i 0.984382 0.176044i \(-0.0563300\pi\)
0.00783363 + 0.999969i \(0.497506\pi\)
\(12\) 3.84293 + 1.69682i 1.10936 + 0.489829i
\(13\) −0.720254 + 0.953771i −0.199763 + 0.264528i −0.886861 0.462036i \(-0.847119\pi\)
0.687099 + 0.726564i \(0.258884\pi\)
\(14\) −0.00113466 0.00165640i −0.000303250 0.000442691i
\(15\) 4.70342 + 3.55186i 1.21442 + 0.917085i
\(16\) −3.93181 + 0.734982i −0.982952 + 0.183746i
\(17\) −1.08732 3.97715i −0.263713 0.964601i
\(18\) −0.00526588 0.000984363i −0.00124118 0.000232017i
\(19\) 1.13021 + 1.23978i 0.259288 + 0.284426i 0.854840 0.518891i \(-0.173655\pi\)
−0.595552 + 0.803317i \(0.703067\pi\)
\(20\) −5.60599 0.259181i −1.25354 0.0579546i
\(21\) −0.821378 0.748785i −0.179239 0.163398i
\(22\) 0.0160743 0.00224228i 0.00342706 0.000478055i
\(23\) 0.827033 3.51633i 0.172448 0.733205i −0.815543 0.578696i \(-0.803562\pi\)
0.987991 0.154509i \(-0.0493795\pi\)
\(24\) 0.0291625 0.0128765i 0.00595276 0.00262840i
\(25\) −2.76399 0.786424i −0.552799 0.157285i
\(26\) 0.000833275 0.00445763i 0.000163419 0.000874213i
\(27\) 3.33220 0.154057i 0.641282 0.0296483i
\(28\) 1.04815 + 0.146211i 0.198082 + 0.0276312i
\(29\) 5.48908 6.61025i 1.01930 1.22749i 0.0457618 0.998952i \(-0.485428\pi\)
0.973535 0.228540i \(-0.0733950\pi\)
\(30\) 0.0219823 0.00410921i 0.00401340 0.000750235i
\(31\) −3.81076 + 0.531578i −0.684432 + 0.0954742i −0.471863 0.881672i \(-0.656418\pi\)
−0.212569 + 0.977146i \(0.568183\pi\)
\(32\) −0.0239690 + 0.0387113i −0.00423716 + 0.00684325i
\(33\) 8.37791 3.24562i 1.45841 0.564990i
\(34\) −0.0139314 0.00711753i −0.00238921 0.00122065i
\(35\) 1.38454 + 0.536375i 0.234031 + 0.0906639i
\(36\) 2.25340 1.70169i 0.375566 0.283614i
\(37\) −1.93707 4.38704i −0.318452 0.721225i 0.681492 0.731826i \(-0.261331\pi\)
−0.999944 + 0.0106008i \(0.996626\pi\)
\(38\) 0.00636541 0.00103261
\(39\) 1.01401 + 2.29650i 0.162371 + 0.367735i
\(40\) −0.0301136 + 0.0301136i −0.00476138 + 0.00476138i
\(41\) −4.97550 2.77133i −0.777042 0.432809i 0.0473149 0.998880i \(-0.484934\pi\)
−0.824357 + 0.566071i \(0.808463\pi\)
\(42\) −0.00419921 0.000389114i −0.000647952 6.00416e-5i
\(43\) −1.13069 + 6.04865i −0.172428 + 0.922410i 0.781845 + 0.623473i \(0.214279\pi\)
−0.954273 + 0.298937i \(0.903368\pi\)
\(44\) −4.83468 + 7.05776i −0.728856 + 1.06400i
\(45\) 3.62419 1.60024i 0.540263 0.238549i
\(46\) −0.00774578 0.0113074i −0.00114205 0.00166719i
\(47\) −7.76186 4.80594i −1.13218 0.701019i −0.173315 0.984866i \(-0.555448\pi\)
−0.958869 + 0.283848i \(0.908389\pi\)
\(48\) −2.66996 + 7.96608i −0.385376 + 1.14980i
\(49\) 6.01549 + 2.99536i 0.859356 + 0.427909i
\(50\) −0.00927045 + 0.00574002i −0.00131104 + 0.000811762i
\(51\) −8.40940 2.06977i −1.17755 0.289826i
\(52\) −2.03230 1.25835i −0.281830 0.174502i
\(53\) −2.32379 3.75305i −0.319197 0.515521i 0.650604 0.759417i \(-0.274516\pi\)
−0.969801 + 0.243896i \(0.921575\pi\)
\(54\) 0.00808578 0.00973733i 0.00110033 0.00132508i
\(55\) −8.87006 + 8.08613i −1.19604 + 1.09033i
\(56\) 0.00617853 0.00513059i 0.000825641 0.000685604i
\(57\) 3.43017 0.806769i 0.454337 0.106859i
\(58\) −0.00450406 0.0322885i −0.000591412 0.00423969i
\(59\) −4.62575 + 2.30335i −0.602221 + 0.299871i −0.720875 0.693065i \(-0.756260\pi\)
0.118654 + 0.992936i \(0.462142\pi\)
\(60\) −6.20541 + 10.0221i −0.801115 + 1.29385i
\(61\) 3.06051 + 9.13131i 0.391858 + 1.16914i 0.942443 + 0.334366i \(0.108522\pi\)
−0.550586 + 0.834779i \(0.685596\pi\)
\(62\) −0.00825049 + 0.0120442i −0.00104781 + 0.00152962i
\(63\) −0.708373 + 0.237423i −0.0892466 + 0.0299125i
\(64\) −2.18921 7.69427i −0.273651 0.961784i
\(65\) −2.37141 2.37141i −0.294137 0.294137i
\(66\) 0.0123148 0.0317882i 0.00151585 0.00391286i
\(67\) 9.90446 9.02911i 1.21002 1.10308i 0.218141 0.975917i \(-0.430001\pi\)
0.991882 0.127164i \(-0.0405874\pi\)
\(68\) 7.71967 2.89927i 0.936147 0.351588i
\(69\) −5.60716 5.11160i −0.675023 0.615364i
\(70\) 0.00504317 0.00251120i 0.000602774 0.000300146i
\(71\) −7.36953 1.73330i −0.874602 0.205705i −0.232753 0.972536i \(-0.574773\pi\)
−0.641849 + 0.766831i \(0.721832\pi\)
\(72\) 0.00197715 0.0213369i 0.000233010 0.00251458i
\(73\) 1.45673 + 0.997886i 0.170498 + 0.116794i 0.647360 0.762184i \(-0.275873\pi\)
−0.476862 + 0.878978i \(0.658226\pi\)
\(74\) −0.0172528 0.00578257i −0.00200560 0.000672210i
\(75\) −4.26813 + 4.26813i −0.492841 + 0.492841i
\(76\) −2.26041 + 2.47955i −0.259286 + 0.284423i
\(77\) 1.80626 1.36403i 0.205843 0.155445i
\(78\) 0.00903142 + 0.00302703i 0.00102261 + 0.000342743i
\(79\) −0.555153 + 12.0078i −0.0624596 + 1.35098i 0.704692 + 0.709514i \(0.251085\pi\)
−0.767151 + 0.641466i \(0.778326\pi\)
\(80\) −0.518354 11.2118i −0.0579537 1.25352i
\(81\) 5.01110 10.0636i 0.556788 1.11818i
\(82\) −0.0204892 + 0.00686729i −0.00226265 + 0.000758365i
\(83\) −2.71925 0.773694i −0.298477 0.0849239i 0.121110 0.992639i \(-0.461354\pi\)
−0.419587 + 0.907715i \(0.637825\pi\)
\(84\) 1.33960 1.77391i 0.146162 0.193550i
\(85\) 11.4744 1.47995i 1.24458 0.160523i
\(86\) 0.0140702 + 0.0186320i 0.00151723 + 0.00200914i
\(87\) −6.51947 16.8287i −0.698961 1.80423i
\(88\) 0.0148634 + 0.0631953i 0.00158444 + 0.00673664i
\(89\) −7.72143 10.2248i −0.818470 1.08383i −0.995034 0.0995405i \(-0.968263\pi\)
0.176563 0.984289i \(-0.443502\pi\)
\(90\) 0.00477706 0.0142528i 0.000503546 0.00150238i
\(91\) 0.404027 + 0.486551i 0.0423535 + 0.0510044i
\(92\) 7.15522 + 0.998111i 0.745984 + 0.104060i
\(93\) −2.91948 + 7.53605i −0.302736 + 0.781452i
\(94\) −0.0333168 + 0.00947944i −0.00343636 + 0.000977730i
\(95\) −3.88363 + 2.66035i −0.398452 + 0.272946i
\(96\) 0.0465367 + 0.0835494i 0.00474963 + 0.00852722i
\(97\) −4.89505 1.15130i −0.497017 0.116897i −0.0271442 0.999632i \(-0.508641\pi\)
−0.469873 + 0.882734i \(0.655700\pi\)
\(98\) 0.0237758 0.00921080i 0.00240172 0.000930431i
\(99\) 0.834367 5.98138i 0.0838571 0.601151i
\(100\) 1.05607 5.64949i 0.105607 0.564949i
\(101\) 2.56852 5.15828i 0.255577 0.513268i −0.729799 0.683662i \(-0.760386\pi\)
0.985376 + 0.170394i \(0.0545040\pi\)
\(102\) −0.0272998 + 0.0182893i −0.00270308 + 0.00181091i
\(103\) 0.923177 + 1.85399i 0.0909634 + 0.182679i 0.935973 0.352072i \(-0.114523\pi\)
−0.845009 + 0.534751i \(0.820405\pi\)
\(104\) −0.0174469 + 0.00496406i −0.00171080 + 0.000486766i
\(105\) 2.39937 1.99241i 0.234155 0.194440i
\(106\) −0.0164637 0.00307759i −0.00159909 0.000298922i
\(107\) 6.28289 + 0.290476i 0.607390 + 0.0280813i 0.347693 0.937609i \(-0.386965\pi\)
0.259698 + 0.965690i \(0.416377\pi\)
\(108\) 0.921706 + 6.60749i 0.0886912 + 0.635806i
\(109\) −5.75196 10.3267i −0.550938 0.989123i −0.995625 0.0934371i \(-0.970215\pi\)
0.444687 0.895686i \(-0.353315\pi\)
\(110\) 0.0455415i 0.00434221i
\(111\) −10.0301 0.929422i −0.952011 0.0882169i
\(112\) −0.0977504 + 2.11431i −0.00923654 + 0.199783i
\(113\) 13.1442 + 7.32126i 1.23650 + 0.688726i 0.962050 0.272875i \(-0.0879744\pi\)
0.274451 + 0.961601i \(0.411504\pi\)
\(114\) 0.00650600 0.0116805i 0.000609343 0.00109398i
\(115\) 9.45162 + 3.66158i 0.881368 + 0.341444i
\(116\) 14.1769 + 9.71142i 1.31630 + 0.901683i
\(117\) 1.68025 + 0.155698i 0.155339 + 0.0143943i
\(118\) −0.00536570 + 0.0188585i −0.000493953 + 0.00173606i
\(119\) −2.18035 + 0.0782425i −0.199872 + 0.00717248i
\(120\) 0.0244797 + 0.0860373i 0.00223468 + 0.00785409i
\(121\) 1.34078 + 7.17257i 0.121890 + 0.652051i
\(122\) 0.0334276 + 0.0147597i 0.00302639 + 0.00133628i
\(123\) −10.1708 + 6.29748i −0.917069 + 0.567825i
\(124\) −1.76183 7.49085i −0.158217 0.672698i
\(125\) −2.40997 + 5.45806i −0.215554 + 0.488184i
\(126\) −0.00114500 + 0.00259319i −0.000102005 + 0.000231019i
\(127\) −3.74448 9.66563i −0.332269 0.857686i −0.994143 0.108071i \(-0.965533\pi\)
0.661874 0.749615i \(-0.269761\pi\)
\(128\) −0.108686 0.0541194i −0.00960661 0.00478352i
\(129\) 9.94360 + 8.25706i 0.875485 + 0.726993i
\(130\) −0.0127112 0.000587676i −0.00111485 5.15426e-5i
\(131\) 13.2008 + 13.2008i 1.15336 + 1.15336i 0.985876 + 0.167480i \(0.0535628\pi\)
0.167480 + 0.985876i \(0.446437\pi\)
\(132\) 8.00952 + 16.0853i 0.697139 + 1.40004i
\(133\) 0.775534 0.431970i 0.0672473 0.0374565i
\(134\) 0.0508524i 0.00439298i
\(135\) −0.863648 + 9.32024i −0.0743310 + 0.802159i
\(136\) 0.0232069 0.0581145i 0.00198998 0.00498328i
\(137\) −1.44809 15.6273i −0.123718 1.33513i −0.800670 0.599106i \(-0.795523\pi\)
0.676952 0.736027i \(-0.263301\pi\)
\(138\) −0.0286660 + 0.00265630i −0.00244021 + 0.000226119i
\(139\) 0.355592 + 7.69133i 0.0301609 + 0.652370i 0.959258 + 0.282533i \(0.0911747\pi\)
−0.929097 + 0.369837i \(0.879414\pi\)
\(140\) −0.812669 + 2.85624i −0.0686831 + 0.241396i
\(141\) −16.7522 + 9.33092i −1.41079 + 0.785805i
\(142\) −0.0236982 + 0.0162336i −0.00198870 + 0.00136229i
\(143\) −4.97654 + 1.17047i −0.416159 + 0.0978798i
\(144\) 3.80464 + 4.17349i 0.317053 + 0.347790i
\(145\) 16.2426 + 17.8173i 1.34888 + 1.47965i
\(146\) 0.00652179 0.00153391i 0.000539747 0.000126947i
\(147\) 11.6448 7.97690i 0.960451 0.657924i
\(148\) 8.37913 4.66714i 0.688760 0.383637i
\(149\) −0.642806 + 2.25923i −0.0526607 + 0.185083i −0.983694 0.179852i \(-0.942438\pi\)
0.931033 + 0.364935i \(0.118909\pi\)
\(150\) 0.00105772 + 0.0228781i 8.63622e−5 + 0.00186799i
\(151\) −9.52932 + 0.883022i −0.775485 + 0.0718593i −0.472728 0.881208i \(-0.656731\pi\)
−0.302757 + 0.953068i \(0.597907\pi\)
\(152\) 0.00234929 + 0.0253529i 0.000190553 + 0.00205639i
\(153\) −3.96604 + 4.26128i −0.320636 + 0.344504i
\(154\) 0.000792414 0.00855151i 6.38546e−5 0.000689101i
\(155\) 10.7966i 0.867201i
\(156\) −4.38626 + 2.44313i −0.351182 + 0.195607i
\(157\) −2.69120 5.40465i −0.214781 0.431338i 0.761404 0.648278i \(-0.224510\pi\)
−0.976185 + 0.216939i \(0.930393\pi\)
\(158\) 0.0322509 + 0.0322509i 0.00256574 + 0.00256574i
\(159\) −9.26196 + 0.428206i −0.734521 + 0.0339590i
\(160\) −0.0982905 0.0816194i −0.00777055 0.00645258i
\(161\) −1.71106 0.852006i −0.134850 0.0671475i
\(162\) −0.0154092 0.0397758i −0.00121066 0.00312508i
\(163\) 2.20723 4.99890i 0.172884 0.391544i −0.807158 0.590335i \(-0.798996\pi\)
0.980042 + 0.198791i \(0.0637015\pi\)
\(164\) 4.60083 10.4199i 0.359264 0.813656i
\(165\) 5.77206 + 24.5413i 0.449354 + 1.91054i
\(166\) −0.00912039 + 0.00564710i −0.000707879 + 0.000438300i
\(167\) 12.9614 + 5.72301i 1.00298 + 0.442860i 0.839309 0.543654i \(-0.182960\pi\)
0.163673 + 0.986515i \(0.447666\pi\)
\(168\) −0.00309962 0.0165815i −0.000239141 0.00127929i
\(169\) 3.16671 + 11.1298i 0.243593 + 0.856140i
\(170\) 0.0251811 0.0359575i 0.00193130 0.00275781i
\(171\) 0.648202 2.27819i 0.0495693 0.174218i
\(172\) −12.2543 1.13552i −0.934378 0.0865829i
\(173\) −4.37879 2.99954i −0.332913 0.228051i 0.387057 0.922056i \(-0.373492\pi\)
−0.719970 + 0.694005i \(0.755845\pi\)
\(174\) −0.0638530 0.0247368i −0.00484068 0.00187529i
\(175\) −0.739943 + 1.32845i −0.0559344 + 0.100422i
\(176\) −14.9473 8.32558i −1.12669 0.627564i
\(177\) −0.501278 + 10.8425i −0.0376783 + 0.814970i
\(178\) −0.0484081 0.00448567i −0.00362834 0.000336215i
\(179\) 21.5274i 1.60903i −0.593929 0.804517i \(-0.702424\pi\)
0.593929 0.804517i \(-0.297576\pi\)
\(180\) 3.85559 + 6.92211i 0.287379 + 0.515944i
\(181\) 1.27456 + 9.13701i 0.0947372 + 0.679149i 0.977746 + 0.209792i \(0.0672788\pi\)
−0.883009 + 0.469356i \(0.844486\pi\)
\(182\) 0.00239707 0.000110823i 0.000177682 8.21475e-6i
\(183\) 19.8840 + 3.71697i 1.46987 + 0.274766i
\(184\) 0.0421779 0.0350241i 0.00310940 0.00258201i
\(185\) 12.9430 3.68259i 0.951586 0.270750i
\(186\) 0.0136684 + 0.0274499i 0.00100222 + 0.00201272i
\(187\) 7.29003 16.0593i 0.533100 1.17437i
\(188\) 8.13848 16.3443i 0.593559 1.19203i
\(189\) 0.324341 1.73507i 0.0235924 0.126208i
\(190\) −0.00246767 + 0.0176901i −0.000179023 + 0.00128338i
\(191\) 21.4024 8.29135i 1.54863 0.599941i 0.573033 0.819532i \(-0.305767\pi\)
0.975592 + 0.219591i \(0.0704724\pi\)
\(192\) −16.3565 3.84702i −1.18043 0.277635i
\(193\) 5.55921 + 9.98069i 0.400161 + 0.718426i 0.996436 0.0843541i \(-0.0268827\pi\)
−0.596275 + 0.802780i \(0.703353\pi\)
\(194\) −0.0157410 + 0.0107828i −0.00113014 + 0.000774161i
\(195\) −6.77531 + 1.92774i −0.485190 + 0.138049i
\(196\) −4.85505 + 12.5323i −0.346789 + 0.895166i
\(197\) 4.93320 + 0.688152i 0.351476 + 0.0490288i 0.311702 0.950180i \(-0.399101\pi\)
0.0397740 + 0.999209i \(0.487336\pi\)
\(198\) −0.0146391 0.0176292i −0.00104035 0.00125285i
\(199\) −0.347020 + 1.03537i −0.0245996 + 0.0733952i −0.959750 0.280856i \(-0.909382\pi\)
0.935150 + 0.354251i \(0.115264\pi\)
\(200\) −0.0262835 0.0348050i −0.00185853 0.00246109i
\(201\) −6.44518 27.4032i −0.454608 1.93287i
\(202\) −0.00789825 0.0203877i −0.000555719 0.00143448i
\(203\) −2.73992 3.62824i −0.192305 0.254653i
\(204\) 2.57003 17.1289i 0.179938 1.19926i
\(205\) 9.63066 12.7531i 0.672634 0.890712i
\(206\) 0.00755844 + 0.00215056i 0.000526621 + 0.000149837i
\(207\) −4.83573 + 1.62077i −0.336106 + 0.112651i
\(208\) 2.13090 4.27942i 0.147751 0.296724i
\(209\) 0.331413 + 7.16836i 0.0229243 + 0.495846i
\(210\) 0.000546512 0.0118209i 3.77129e−5 0.000815718i
\(211\) 0.708278 + 0.237391i 0.0487599 + 0.0163427i 0.342066 0.939676i \(-0.388873\pi\)
−0.293306 + 0.956018i \(0.594756\pi\)
\(212\) 7.04521 5.32029i 0.483867 0.365399i
\(213\) −10.7129 + 11.7515i −0.734036 + 0.805199i
\(214\) 0.0168748 0.0168748i 0.00115354 0.00115354i
\(215\) −16.3715 5.48717i −1.11653 0.374222i
\(216\) 0.0417673 + 0.0286112i 0.00284190 + 0.00194675i
\(217\) −0.187858 + 2.02731i −0.0127527 + 0.137623i
\(218\) −0.0436595 0.0102686i −0.00295699 0.000695479i
\(219\) 3.32003 1.65318i 0.224347 0.111711i
\(220\) −17.7400 16.1721i −1.19603 1.09033i
\(221\) 4.57644 + 1.82751i 0.307844 + 0.122932i
\(222\) −0.0282449 + 0.0257487i −0.00189568 + 0.00172814i
\(223\) −6.87425 + 17.7445i −0.460334 + 1.18826i 0.488523 + 0.872551i \(0.337536\pi\)
−0.948857 + 0.315707i \(0.897758\pi\)
\(224\) 0.0170363 + 0.0170363i 0.00113828 + 0.00113828i
\(225\) 1.11034 + 3.90243i 0.0740225 + 0.260162i
\(226\) 0.0541280 0.0181419i 0.00360054 0.00120678i
\(227\) −1.16969 + 1.70753i −0.0776349 + 0.113333i −0.861867 0.507135i \(-0.830704\pi\)
0.784232 + 0.620468i \(0.213057\pi\)
\(228\) 2.23963 + 6.68215i 0.148323 + 0.442536i
\(229\) −13.9209 + 22.4831i −0.919921 + 1.48572i −0.0464079 + 0.998923i \(0.514777\pi\)
−0.873513 + 0.486801i \(0.838164\pi\)
\(230\) 0.0344273 0.0171428i 0.00227007 0.00113036i
\(231\) −0.656828 4.70865i −0.0432161 0.309806i
\(232\) 0.126940 0.0298561i 0.00833405 0.00196015i
\(233\) −5.45147 + 4.52685i −0.357138 + 0.296564i −0.799969 0.600042i \(-0.795151\pi\)
0.442831 + 0.896605i \(0.353974\pi\)
\(234\) 0.00473163 0.00431345i 0.000309316 0.000281979i
\(235\) 16.3652 19.7079i 1.06755 1.28560i
\(236\) −5.44063 8.78692i −0.354155 0.571980i
\(237\) 21.4668 + 13.2917i 1.39442 + 0.863389i
\(238\) −0.00535401 + 0.00631374i −0.000347049 + 0.000409259i
\(239\) −16.2737 + 10.0763i −1.05266 + 0.651779i −0.939763 0.341828i \(-0.888954\pi\)
−0.112897 + 0.993607i \(0.536013\pi\)
\(240\) −21.1035 10.5083i −1.36222 0.678307i
\(241\) 3.96694 11.8357i 0.255533 0.762406i −0.740388 0.672179i \(-0.765358\pi\)
0.995921 0.0902271i \(-0.0287593\pi\)
\(242\) 0.0235393 + 0.0145749i 0.00151316 + 0.000936911i
\(243\) −7.68951 11.2253i −0.493282 0.720103i
\(244\) −17.6198 + 7.77991i −1.12799 + 0.498058i
\(245\) −10.6564 + 15.5565i −0.680814 + 0.993866i
\(246\) −0.00834029 + 0.0446166i −0.000531758 + 0.00284465i
\(247\) −1.99651 + 0.185004i −0.127035 + 0.0117715i
\(248\) −0.0510163 0.0284159i −0.00323954 0.00180441i
\(249\) −4.19904 + 4.19904i −0.266103 + 0.266103i
\(250\) 0.00914412 + 0.0207095i 0.000578325 + 0.00130978i
\(251\) −23.8105 −1.50290 −0.751452 0.659788i \(-0.770646\pi\)
−0.751452 + 0.659788i \(0.770646\pi\)
\(252\) −0.603536 1.36688i −0.0380192 0.0861053i
\(253\) 12.3305 9.31157i 0.775213 0.585413i
\(254\) −0.0366742 0.0142077i −0.00230114 0.000891468i
\(255\) 9.01217 22.5682i 0.564364 1.41328i
\(256\) 14.9185 5.77945i 0.932405 0.361216i
\(257\) 5.29139 8.54589i 0.330068 0.533078i −0.642324 0.766434i \(-0.722029\pi\)
0.972391 + 0.233356i \(0.0749706\pi\)
\(258\) 0.0485707 0.00677532i 0.00302388 0.000421813i
\(259\) −2.49443 + 0.466290i −0.154996 + 0.0289738i
\(260\) 4.28494 5.16016i 0.265741 0.320019i
\(261\) −12.0148 1.67599i −0.743698 0.103741i
\(262\) 0.0707588 0.00327138i 0.00437149 0.000202106i
\(263\) 3.29318 + 17.6169i 0.203066 + 1.08631i 0.920813 + 0.390004i \(0.127526\pi\)
−0.717747 + 0.696304i \(0.754827\pi\)
\(264\) 0.131155 + 0.0373168i 0.00807203 + 0.00229669i
\(265\) 11.3310 5.00311i 0.696056 0.307339i
\(266\) 0.000771169 0.00327881i 4.72834e−5 0.000201037i
\(267\) −26.6545 + 3.71815i −1.63123 + 0.227547i
\(268\) 19.8088 + 18.0581i 1.21001 + 1.10307i
\(269\) 15.0204 + 0.694435i 0.915810 + 0.0423405i 0.498950 0.866630i \(-0.333719\pi\)
0.416859 + 0.908971i \(0.363131\pi\)
\(270\) 0.0239264 + 0.0262461i 0.00145612 + 0.00159728i
\(271\) −17.0230 3.18215i −1.03407 0.193302i −0.360760 0.932659i \(-0.617482\pi\)
−0.673313 + 0.739357i \(0.735130\pi\)
\(272\) 7.19825 + 14.8382i 0.436458 + 0.899701i
\(273\) 1.30577 0.244091i 0.0790288 0.0147730i
\(274\) −0.0475208 0.0358861i −0.00287084 0.00216796i
\(275\) −6.94675 10.1410i −0.418905 0.611525i
\(276\) 9.14480 12.1097i 0.550452 0.728916i
\(277\) −18.0806 7.98336i −1.08636 0.479674i −0.218170 0.975911i \(-0.570009\pi\)
−0.868187 + 0.496237i \(0.834715\pi\)
\(278\) 0.0224756 + 0.0186635i 0.00134799 + 0.00111936i
\(279\) 3.47050 + 4.17936i 0.207773 + 0.250212i
\(280\) 0.0118632 + 0.0191597i 0.000708962 + 0.00114501i
\(281\) 23.1865 + 17.5096i 1.38319 + 1.04454i 0.992268 + 0.124115i \(0.0396092\pi\)
0.390924 + 0.920423i \(0.372156\pi\)
\(282\) −0.0166579 + 0.0708251i −0.000991964 + 0.00421757i
\(283\) 6.05387 + 18.0623i 0.359865 + 1.07369i 0.961473 + 0.274900i \(0.0886447\pi\)
−0.601608 + 0.798792i \(0.705473\pi\)
\(284\) 2.09184 14.9959i 0.124128 0.889845i
\(285\) 0.912325 + 9.84556i 0.0540415 + 0.583201i
\(286\) −0.00943900 + 0.0169463i −0.000558140 + 0.00100205i
\(287\) −2.03029 + 2.22712i −0.119844 + 0.131463i
\(288\) 0.0642845 0.00378800
\(289\) −14.6355 + 8.64884i −0.860911 + 0.508756i
\(290\) 0.0914792 0.00537185
\(291\) −7.11581 + 7.80567i −0.417136 + 0.457577i
\(292\) −1.71843 + 3.08516i −0.100563 + 0.180546i
\(293\) −0.405464 4.37566i −0.0236875 0.255629i −0.999341 0.0363092i \(-0.988440\pi\)
0.975653 0.219319i \(-0.0703837\pi\)
\(294\) 0.00739916 0.0530428i 0.000431528 0.00309352i
\(295\) −4.60799 13.7484i −0.268287 0.800461i
\(296\) 0.0166640 0.0708509i 0.000968575 0.00411813i
\(297\) 11.3866 + 8.59877i 0.660718 + 0.498951i
\(298\) 0.00469177 + 0.00757747i 0.000271787 + 0.000438951i
\(299\) 2.75810 + 3.32145i 0.159505 + 0.192084i
\(300\) −9.28740 7.71216i −0.536209 0.445262i
\(301\) 2.97866 + 1.31521i 0.171687 + 0.0758073i
\(302\) −0.0218828 + 0.0289775i −0.00125921 + 0.00166747i
\(303\) −6.84019 9.98544i −0.392958 0.573649i
\(304\) −5.35499 4.04390i −0.307130 0.231934i
\(305\) −26.5633 + 4.96554i −1.52101 + 0.284326i
\(306\) 0.00181071 + 0.0220135i 0.000103511 + 0.00125843i
\(307\) −33.7820 6.31494i −1.92804 0.360413i −0.928109 0.372310i \(-0.878566\pi\)
−0.999929 + 0.0118968i \(0.996213\pi\)
\(308\) 3.04972 + 3.34538i 0.173774 + 0.190621i
\(309\) 4.34564 + 0.200911i 0.247215 + 0.0114294i
\(310\) −0.0302737 0.0275981i −0.00171943 0.00156747i
\(311\) −25.2391 + 3.52070i −1.43118 + 0.199641i −0.811103 0.584903i \(-0.801133\pi\)
−0.620074 + 0.784544i \(0.712897\pi\)
\(312\) −0.00872317 + 0.0370887i −0.000493852 + 0.00209973i
\(313\) −5.52409 + 2.43912i −0.312240 + 0.137867i −0.554115 0.832440i \(-0.686943\pi\)
0.241875 + 0.970307i \(0.422237\pi\)
\(314\) −0.0220340 0.00626920i −0.00124345 0.000353791i
\(315\) −0.385208 2.06068i −0.0217040 0.116106i
\(316\) −24.0154 + 1.11030i −1.35097 + 0.0624591i
\(317\) −31.9522 4.45714i −1.79461 0.250338i −0.838826 0.544400i \(-0.816757\pi\)
−0.955786 + 0.294063i \(0.904993\pi\)
\(318\) −0.0224747 + 0.0270652i −0.00126032 + 0.00151774i
\(319\) 36.1270 6.75331i 2.02272 0.378113i
\(320\) 22.2319 3.10121i 1.24280 0.173363i
\(321\) 6.95469 11.2322i 0.388173 0.626921i
\(322\) −0.00676284 + 0.00261994i −0.000376878 + 0.000146003i
\(323\) 3.70191 5.84306i 0.205980 0.325116i
\(324\) 20.9660 + 8.12227i 1.16478 + 0.451237i
\(325\) 2.74085 2.06979i 0.152035 0.114811i
\(326\) −0.00837488 0.0189673i −0.000463841 0.00105050i
\(327\) −24.8286 −1.37302
\(328\) −0.0349139 0.0790724i −0.00192780 0.00436604i
\(329\) −3.41588 + 3.41588i −0.188324 + 0.188324i
\(330\) 0.0835686 + 0.0465474i 0.00460030 + 0.00256235i
\(331\) −4.72575 + 0.437905i −0.259751 + 0.0240694i −0.221355 0.975193i \(-0.571048\pi\)
−0.0383951 + 0.999263i \(0.512225\pi\)
\(332\) 1.03898 5.55804i 0.0570213 0.305037i
\(333\) −3.82649 + 5.58598i −0.209690 + 0.306110i
\(334\) 0.0491793 0.0217148i 0.00269097 0.00118818i
\(335\) 21.2532 + 31.0258i 1.16118 + 1.69512i
\(336\) 3.77984 + 2.34038i 0.206207 + 0.127678i
\(337\) −3.06770 + 9.15277i −0.167108 + 0.498583i −0.998356 0.0573192i \(-0.981745\pi\)
0.831248 + 0.555902i \(0.187627\pi\)
\(338\) 0.0393029 + 0.0195705i 0.00213780 + 0.00106450i
\(339\) 26.8690 16.6366i 1.45932 0.903575i
\(340\) 5.06468 + 22.5777i 0.274671 + 1.22445i
\(341\) −13.9931 8.66415i −0.757768 0.469190i
\(342\) −0.00473116 0.00764108i −0.000255832 0.000413182i
\(343\) 4.63802 5.58535i 0.250429 0.301581i
\(344\) −0.0690169 + 0.0629172i −0.00372114 + 0.00339227i
\(345\) 16.3794 13.6013i 0.881836 0.732267i
\(346\) −0.0196038 + 0.00461077i −0.00105391 + 0.000247877i
\(347\) 4.37317 + 31.3503i 0.234764 + 1.68297i 0.639700 + 0.768625i \(0.279059\pi\)
−0.404936 + 0.914345i \(0.632706\pi\)
\(348\) 32.3105 16.0887i 1.73203 0.862446i
\(349\) 9.54790 15.4204i 0.511087 0.825434i −0.487783 0.872965i \(-0.662194\pi\)
0.998870 + 0.0475310i \(0.0151353\pi\)
\(350\) 0.00183356 + 0.00547059i 9.80078e−5 + 0.000292416i
\(351\) −2.25310 + 3.28911i −0.120261 + 0.175560i
\(352\) −0.184662 + 0.0618924i −0.00984251 + 0.00329888i
\(353\) −2.94449 10.3488i −0.156719 0.550812i −0.999913 0.0132014i \(-0.995798\pi\)
0.843193 0.537610i \(-0.180673\pi\)
\(354\) 0.0291211 + 0.0291211i 0.00154777 + 0.00154777i
\(355\) 7.67394 19.8087i 0.407291 1.05134i
\(356\) 18.9374 17.2637i 1.00368 0.914975i
\(357\) −2.08493 + 4.08091i −0.110346 + 0.215985i
\(358\) −0.0603632 0.0550283i −0.00319029 0.00290834i
\(359\) 0.269975 0.134432i 0.0142487 0.00709503i −0.438600 0.898682i \(-0.644525\pi\)
0.452849 + 0.891587i \(0.350408\pi\)
\(360\) 0.0585309 + 0.0137663i 0.00308485 + 0.000725550i
\(361\) 1.49342 16.1165i 0.0786008 0.848238i
\(362\) 0.0288783 + 0.0197821i 0.00151781 + 0.00103972i
\(363\) 14.5320 + 4.87065i 0.762735 + 0.255643i
\(364\) −0.894386 + 0.894386i −0.0468786 + 0.0468786i
\(365\) −3.33796 + 3.66156i −0.174717 + 0.191655i
\(366\) 0.0612500 0.0462538i 0.00320159 0.00241773i
\(367\) −23.6197 7.91652i −1.23294 0.413239i −0.375015 0.927019i \(-0.622362\pi\)
−0.857922 + 0.513780i \(0.828245\pi\)
\(368\) −0.667296 + 14.4334i −0.0347852 + 0.752392i
\(369\) 0.371362 + 8.03244i 0.0193323 + 0.418152i
\(370\) 0.0227587 0.0457057i 0.00118317 0.00237613i
\(371\) −2.21472 + 0.742298i −0.114982 + 0.0385382i
\(372\) −15.5465 4.42335i −0.806046 0.229340i
\(373\) −8.03610 + 10.6415i −0.416093 + 0.550997i −0.957001 0.290085i \(-0.906316\pi\)
0.540907 + 0.841082i \(0.318081\pi\)
\(374\) −0.0263958 0.0614921i −0.00136489 0.00317968i
\(375\) 7.55233 + 10.0009i 0.390001 + 0.516444i
\(376\) −0.0500522 0.129200i −0.00258124 0.00666296i
\(377\) 2.35113 + 9.99638i 0.121089 + 0.514840i
\(378\) −0.00403609 0.00534464i −0.000207594 0.000274899i
\(379\) 5.01333 14.9577i 0.257517 0.768328i −0.738090 0.674702i \(-0.764272\pi\)
0.995608 0.0936253i \(-0.0298456\pi\)
\(380\) −6.01463 7.24314i −0.308544 0.371565i
\(381\) −21.5636 3.00799i −1.10474 0.154104i
\(382\) 0.0314598 0.0812070i 0.00160962 0.00415491i
\(383\) −7.74876 + 2.20471i −0.395943 + 0.112655i −0.465775 0.884903i \(-0.654224\pi\)
0.0698319 + 0.997559i \(0.477754\pi\)
\(384\) −0.210396 + 0.144125i −0.0107367 + 0.00735482i
\(385\) 3.09054 + 5.54858i 0.157509 + 0.282782i
\(386\) 0.0421964 + 0.00992451i 0.00214774 + 0.000505144i
\(387\) 8.10123 3.13843i 0.411809 0.159536i
\(388\) 1.38946 9.96072i 0.0705392 0.505679i
\(389\) 3.28262 17.5605i 0.166436 0.890352i −0.793169 0.609001i \(-0.791571\pi\)
0.959605 0.281351i \(-0.0907824\pi\)
\(390\) −0.0119136 + 0.0239258i −0.000603269 + 0.00121153i
\(391\) −14.8842 + 0.534124i −0.752728 + 0.0270118i
\(392\) 0.0454609 + 0.0912978i 0.00229612 + 0.00461123i
\(393\) 37.7157 10.7310i 1.90250 0.541309i
\(394\) 0.0145398 0.0120737i 0.000732506 0.000608265i
\(395\) −33.1556 6.19786i −1.66824 0.311848i
\(396\) 12.0656 + 0.557827i 0.606320 + 0.0280319i
\(397\) 5.10788 + 36.6172i 0.256357 + 1.83776i 0.497731 + 0.867331i \(0.334167\pi\)
−0.241374 + 0.970432i \(0.577598\pi\)
\(398\) 0.00201613 + 0.00361965i 0.000101060 + 0.000181437i
\(399\) 1.86461i 0.0933475i
\(400\) 11.4455 + 1.06058i 0.572275 + 0.0530291i
\(401\) 0.774852 16.7598i 0.0386943 0.836944i −0.887708 0.460408i \(-0.847703\pi\)
0.926402 0.376536i \(-0.122885\pi\)
\(402\) −0.0933141 0.0519756i −0.00465409 0.00259231i
\(403\) 2.23771 4.01746i 0.111468 0.200124i
\(404\) 10.7465 + 4.16320i 0.534656 + 0.207127i
\(405\) 26.0252 + 17.8277i 1.29320 + 0.885865i
\(406\) −0.0171774 0.00159172i −0.000852501 7.89959e-5i
\(407\) 5.61374 19.7302i 0.278263 0.977991i
\(408\) −0.0829206 0.101983i −0.00410518 0.00504890i
\(409\) −3.24570 11.4074i −0.160489 0.564062i −0.999792 0.0203970i \(-0.993507\pi\)
0.839303 0.543665i \(-0.182964\pi\)
\(410\) −0.0111419 0.0596038i −0.000550258 0.00294362i
\(411\) −30.1562 13.3153i −1.48750 0.656794i
\(412\) −3.52178 + 2.18059i −0.173506 + 0.107430i
\(413\) 0.626041 + 2.66176i 0.0308055 + 0.130977i
\(414\) −0.00781640 + 0.0177025i −0.000384155 + 0.000870028i
\(415\) 3.20434 7.25714i 0.157295 0.356239i
\(416\) −0.0196579 0.0507429i −0.000963808 0.00248788i
\(417\) 14.4770 + 7.20870i 0.708943 + 0.353012i
\(418\) 0.0209473 + 0.0173944i 0.00102457 + 0.000850790i
\(419\) −11.0542 + 0.511067i −0.540034 + 0.0249673i −0.314481 0.949264i \(-0.601831\pi\)
−0.225553 + 0.974231i \(0.572419\pi\)
\(420\) 4.41057 + 4.41057i 0.215214 + 0.215214i
\(421\) 1.19882 + 2.40755i 0.0584268 + 0.117337i 0.922452 0.386112i \(-0.126182\pi\)
−0.864025 + 0.503448i \(0.832064\pi\)
\(422\) 0.00247615 0.00137920i 0.000120537 6.71386e-5i
\(423\) 12.8895i 0.626707i
\(424\) 0.00618153 0.0667094i 0.000300202 0.00323969i
\(425\) −0.122393 + 11.8479i −0.00593696 + 0.574708i
\(426\) 0.00556707 + 0.0600782i 0.000269725 + 0.00291080i
\(427\) 5.07430 0.470203i 0.245562 0.0227547i
\(428\) 0.580947 + 12.5657i 0.0280811 + 0.607386i
\(429\) −2.93865 + 10.3283i −0.141879 + 0.498654i
\(430\) −0.0572348 + 0.0318796i −0.00276011 + 0.00153737i
\(431\) −5.29837 + 3.62947i −0.255214 + 0.174825i −0.685942 0.727656i \(-0.740610\pi\)
0.430728 + 0.902482i \(0.358257\pi\)
\(432\) −12.9883 + 3.05483i −0.624902 + 0.146976i
\(433\) 17.8494 + 19.5798i 0.857786 + 0.940946i 0.998796 0.0490622i \(-0.0156232\pi\)
−0.141010 + 0.990008i \(0.545035\pi\)
\(434\) 0.00520441 + 0.00570897i 0.000249820 + 0.000274039i
\(435\) 49.2961 11.5943i 2.36357 0.555906i
\(436\) 19.5038 13.3604i 0.934063 0.639848i
\(437\) 5.29420 2.94885i 0.253256 0.141063i
\(438\) 0.00385111 0.0135353i 0.000184013 0.000646740i
\(439\) 1.18944 + 25.7272i 0.0567688 + 1.22789i 0.816381 + 0.577514i \(0.195977\pi\)
−0.759612 + 0.650376i \(0.774611\pi\)
\(440\) −0.181388 + 0.0168081i −0.00864735 + 0.000801295i
\(441\) −0.875428 9.44737i −0.0416871 0.449875i
\(442\) 0.0168226 0.00816091i 0.000800171 0.000388175i
\(443\) −2.32557 + 25.0969i −0.110491 + 1.19239i 0.742273 + 0.670097i \(0.233748\pi\)
−0.852765 + 0.522295i \(0.825076\pi\)
\(444\) 20.1459i 0.956083i
\(445\) 31.4092 17.4948i 1.48894 0.829333i
\(446\) 0.0321839 + 0.0646339i 0.00152395 + 0.00306050i
\(447\) 3.48868 + 3.48868i 0.165009 + 0.165009i
\(448\) −4.22853 + 0.195497i −0.199779 + 0.00923634i
\(449\) 20.5564 + 17.0698i 0.970117 + 0.805575i 0.980929 0.194366i \(-0.0622650\pi\)
−0.0108116 + 0.999942i \(0.503442\pi\)
\(450\) 0.0137807 + 0.00686198i 0.000649629 + 0.000323477i
\(451\) −8.80031 22.7162i −0.414391 1.06967i
\(452\) −12.1544 + 27.5271i −0.571694 + 1.29476i
\(453\) −8.11946 + 18.3888i −0.381485 + 0.863982i
\(454\) 0.00179800 + 0.00764462i 8.43842e−5 + 0.000358780i
\(455\) −1.50880 + 0.934211i −0.0707337 + 0.0437965i
\(456\) 0.0489238 + 0.0216020i 0.00229107 + 0.00101160i
\(457\) 3.53790 + 18.9261i 0.165496 + 0.885324i 0.960407 + 0.278599i \(0.0898701\pi\)
−0.794912 + 0.606725i \(0.792483\pi\)
\(458\) 0.0274582 + 0.0965056i 0.00128304 + 0.00450941i
\(459\) −4.23586 13.0852i −0.197713 0.610763i
\(460\) −5.54771 + 19.4982i −0.258663 + 0.909106i
\(461\) 10.6687 + 0.988597i 0.496889 + 0.0460435i 0.337795 0.941220i \(-0.390319\pi\)
0.159094 + 0.987263i \(0.449143\pi\)
\(462\) −0.0148821 0.0101945i −0.000692378 0.000474290i
\(463\) 21.9338 + 8.49719i 1.01935 + 0.394898i 0.812180 0.583407i \(-0.198281\pi\)
0.207169 + 0.978305i \(0.433575\pi\)
\(464\) −16.7236 + 30.0246i −0.776373 + 1.39386i
\(465\) −19.8117 11.0350i −0.918744 0.511737i
\(466\) −0.00124170 + 0.0268575i −5.75205e−5 + 0.00124415i
\(467\) −21.9698 2.03580i −1.01664 0.0942057i −0.428981 0.903313i \(-0.641127\pi\)
−0.587661 + 0.809108i \(0.699951\pi\)
\(468\) 3.37487i 0.156004i
\(469\) −3.45095 6.19564i −0.159350 0.286088i
\(470\) −0.0134285 0.0962656i −0.000619410 0.00444040i
\(471\) −12.6682 0.585685i −0.583719 0.0269869i
\(472\) −0.0770922 0.0144110i −0.00354846 0.000663321i
\(473\) −20.2497 + 16.8152i −0.931083 + 0.773162i
\(474\) 0.0921436 0.0262171i 0.00423229 0.00120419i
\(475\) −2.14890 4.31557i −0.0985983 0.198012i
\(476\) −0.558168 4.32763i −0.0255836 0.198357i
\(477\) −2.77801 + 5.57899i −0.127196 + 0.255444i
\(478\) −0.0133448 + 0.0713886i −0.000610379 + 0.00326524i
\(479\) −2.90210 + 20.8045i −0.132600 + 0.950580i 0.802614 + 0.596498i \(0.203442\pi\)
−0.935215 + 0.354082i \(0.884794\pi\)
\(480\) −0.250233 + 0.0969408i −0.0114215 + 0.00442472i
\(481\) 5.57941 + 1.31227i 0.254399 + 0.0598342i
\(482\) −0.0230473 0.0413778i −0.00104978 0.00188471i
\(483\) −3.31228 + 2.26897i −0.150714 + 0.103242i
\(484\) −14.0364 + 3.99370i −0.638019 + 0.181532i
\(485\) 5.09725 13.1575i 0.231454 0.597452i
\(486\) −0.0511318 0.00713258i −0.00231938 0.000323540i
\(487\) 18.6747 + 22.4891i 0.846233 + 1.01908i 0.999523 + 0.0308983i \(0.00983681\pi\)
−0.153290 + 0.988181i \(0.548987\pi\)
\(488\) −0.0464496 + 0.138587i −0.00210268 + 0.00627353i
\(489\) −6.91700 9.15958i −0.312797 0.414211i
\(490\) 0.0163806 + 0.0696462i 0.000740001 + 0.00314629i
\(491\) 10.8703 + 28.0595i 0.490570 + 1.26631i 0.929844 + 0.367954i \(0.119942\pi\)
−0.439274 + 0.898353i \(0.644764\pi\)
\(492\) −14.4180 19.0925i −0.650014 0.860758i
\(493\) −32.2583 14.6435i −1.45284 0.659509i
\(494\) −0.00458471 + 0.00607114i −0.000206276 + 0.000273154i
\(495\) 16.2994 + 4.63758i 0.732604 + 0.208444i
\(496\) 14.5925 4.89090i 0.655221 0.219608i
\(497\) −1.78564 + 3.58604i −0.0800967 + 0.160856i
\(498\) 0.00104060 + 0.0225077i 4.66302e−5 + 0.00100860i
\(499\) 1.18787 25.6933i 0.0531764 1.15019i −0.790194 0.612856i \(-0.790020\pi\)
0.843371 0.537332i \(-0.180568\pi\)
\(500\) −11.3142 3.79214i −0.505986 0.169590i
\(501\) 23.7494 17.9347i 1.06104 0.801264i
\(502\) −0.0608642 + 0.0667649i −0.00271650 + 0.00297986i
\(503\) 14.9127 14.9127i 0.664925 0.664925i −0.291612 0.956537i \(-0.594192\pi\)
0.956537 + 0.291612i \(0.0941916\pi\)
\(504\) −0.0107511 0.00360339i −0.000478890 0.000160508i
\(505\) 13.3397 + 9.13788i 0.593607 + 0.406630i
\(506\) 0.00540944 0.0583771i 0.000240479 0.00259518i
\(507\) 23.6599 + 5.56475i 1.05077 + 0.247139i
\(508\) 18.5577 9.24062i 0.823363 0.409986i
\(509\) 7.06349 + 6.43922i 0.313084 + 0.285413i 0.814949 0.579532i \(-0.196765\pi\)
−0.501866 + 0.864945i \(0.667353\pi\)
\(510\) −0.0402447 0.0829590i −0.00178206 0.00367349i
\(511\) 0.690492 0.629467i 0.0305456 0.0278460i
\(512\) 0.109649 0.283037i 0.00484586 0.0125086i
\(513\) 3.95708 + 3.95708i 0.174710 + 0.174710i
\(514\) −0.0104370 0.0366821i −0.000460355 0.00161798i
\(515\) −5.51031 + 1.84687i −0.242813 + 0.0813829i
\(516\) −14.6086 + 21.3259i −0.643108 + 0.938822i
\(517\) −12.4098 37.0259i −0.545784 1.62840i
\(518\) −0.00506877 + 0.00818635i −0.000222709 + 0.000359687i
\(519\) −9.97965 + 4.96928i −0.438058 + 0.218127i
\(520\) −0.00703203 0.0504110i −0.000308375 0.00221067i
\(521\) 31.6487 7.44372i 1.38656 0.326115i 0.532559 0.846393i \(-0.321230\pi\)
0.853997 + 0.520277i \(0.174171\pi\)
\(522\) −0.0354117 + 0.0294055i −0.00154993 + 0.00128704i
\(523\) −8.83066 + 8.05021i −0.386138 + 0.352011i −0.843367 0.537338i \(-0.819430\pi\)
0.457229 + 0.889349i \(0.348842\pi\)
\(524\) −23.8527 + 28.7247i −1.04201 + 1.25484i
\(525\) 1.68142 + 2.71559i 0.0733832 + 0.118518i
\(526\) 0.0578162 + 0.0357983i 0.00252091 + 0.00156088i
\(527\) 6.25766 + 14.5780i 0.272588 + 0.635026i
\(528\) −30.5548 + 18.9188i −1.32973 + 0.823333i
\(529\) 8.90817 + 4.43574i 0.387312 + 0.192858i
\(530\) 0.0149354 0.0445611i 0.000648752 0.00193561i
\(531\) 6.20309 + 3.84079i 0.269191 + 0.166676i
\(532\) 1.00336 + 1.46473i 0.0435012 + 0.0635040i
\(533\) 6.22684 2.74942i 0.269714 0.119091i
\(534\) −0.0577085 + 0.0842440i −0.00249729 + 0.00364559i
\(535\) −3.24294 + 17.3482i −0.140205 + 0.750028i
\(536\) 0.202541 0.0187682i 0.00874845 0.000810663i
\(537\) −39.5028 22.0029i −1.70467 0.949496i
\(538\) 0.0403423 0.0403423i 0.00173928 0.00173928i
\(539\) 11.6106 + 26.2954i 0.500102 + 1.13262i
\(540\) −18.7202 −0.805589
\(541\) −17.9488 40.6502i −0.771680 1.74769i −0.656475 0.754348i \(-0.727953\pi\)
−0.115206 0.993342i \(-0.536753\pi\)
\(542\) −0.0524369 + 0.0395985i −0.00225236 + 0.00170090i
\(543\) 18.0691 + 7.00001i 0.775420 + 0.300399i
\(544\) 0.180023 + 0.0532370i 0.00771840 + 0.00228252i
\(545\) 30.9289 11.9819i 1.32485 0.513250i
\(546\) 0.00265337 0.00428534i 0.000113554 0.000183396i
\(547\) 28.3133 3.94954i 1.21059 0.168870i 0.495943 0.868355i \(-0.334822\pi\)
0.714648 + 0.699485i \(0.246587\pi\)
\(548\) 30.8539 5.76759i 1.31801 0.246379i
\(549\) 8.68653 10.4608i 0.370732 0.446456i
\(550\) −0.0461928 0.00644362i −0.00196967 0.000274757i
\(551\) 14.3991 0.665710i 0.613422 0.0283602i
\(552\) −0.0211596 0.113194i −0.000900614 0.00481786i
\(553\) 6.11792 + 1.74070i 0.260161 + 0.0740221i
\(554\) −0.0686030 + 0.0302912i −0.00291466 + 0.00128695i
\(555\) 6.47130 27.5143i 0.274691 1.16792i
\(556\) −15.2513 + 2.12747i −0.646799 + 0.0902247i
\(557\) −21.4301 19.5361i −0.908023 0.827772i 0.0775564 0.996988i \(-0.475288\pi\)
−0.985579 + 0.169216i \(0.945876\pi\)
\(558\) 0.0205903 0.000951945i 0.000871655 4.02990e-5i
\(559\) −4.95464 5.43498i −0.209559 0.229875i
\(560\) −5.83798 1.09131i −0.246700 0.0461162i
\(561\) −22.0178 29.7912i −0.929590 1.25779i
\(562\) 0.108367 0.0202572i 0.00457117 0.000854500i
\(563\) −19.3158 14.5866i −0.814064 0.614752i 0.111320 0.993785i \(-0.464492\pi\)
−0.925383 + 0.379032i \(0.876257\pi\)
\(564\) −21.6735 31.6394i −0.912617 1.33226i
\(565\) −25.4421 + 33.6908i −1.07036 + 1.41738i
\(566\) 0.0661218 + 0.0291956i 0.00277931 + 0.00122718i
\(567\) −4.57666 3.80041i −0.192202 0.159602i
\(568\) −0.0734035 0.0883965i −0.00307994 0.00370904i
\(569\) −2.93889 4.74647i −0.123205 0.198982i 0.782774 0.622307i \(-0.213804\pi\)
−0.905978 + 0.423324i \(0.860863\pi\)
\(570\) 0.0299392 + 0.0226090i 0.00125401 + 0.000946987i
\(571\) 0.830685 3.53186i 0.0347631 0.147804i −0.953247 0.302192i \(-0.902282\pi\)
0.988010 + 0.154388i \(0.0493406\pi\)
\(572\) −3.24929 9.69456i −0.135860 0.405350i
\(573\) 6.66055 47.7479i 0.278248 1.99470i
\(574\) 0.00105506 + 0.0113859i 4.40374e−5 + 0.000475239i
\(575\) −5.05124 + 9.06871i −0.210651 + 0.378191i
\(576\) −7.60911 + 8.34679i −0.317046 + 0.347783i
\(577\) −13.9625 −0.581266 −0.290633 0.956835i \(-0.593866\pi\)
−0.290633 + 0.956835i \(0.593866\pi\)
\(578\) −0.0131597 + 0.0631463i −0.000547371 + 0.00262654i
\(579\) 23.9966 0.997263
\(580\) −32.4850 + 35.6343i −1.34887 + 1.47963i
\(581\) −0.727965 + 1.30695i −0.0302011 + 0.0542213i
\(582\) 0.00369780 + 0.0399057i 0.000153279 + 0.00165414i
\(583\) 2.60863 18.7007i 0.108039 0.774503i
\(584\) 0.00851645 + 0.0254096i 0.000352413 + 0.00105146i
\(585\) −1.08408 + 4.60923i −0.0448212 + 0.190568i
\(586\) −0.0133058 0.0100481i −0.000549660 0.000415084i
\(587\) 1.06576 + 1.72126i 0.0439886 + 0.0710440i 0.871469 0.490451i \(-0.163168\pi\)
−0.827480 + 0.561494i \(0.810227\pi\)
\(588\) 18.0345 + 21.7182i 0.743731 + 0.895641i
\(589\) −4.96600 4.12371i −0.204620 0.169915i
\(590\) −0.0503295 0.0222227i −0.00207203 0.000914892i
\(591\) 6.30492 8.34907i 0.259350 0.343435i
\(592\) 10.8406 + 15.8253i 0.445545 + 0.650415i
\(593\) 8.36030 + 6.31341i 0.343316 + 0.259260i 0.760186 0.649706i \(-0.225108\pi\)
−0.416869 + 0.908966i \(0.636873\pi\)
\(594\) 0.0532175 0.00994807i 0.00218354 0.000408174i
\(595\) 0.627809 6.08975i 0.0257377 0.249655i
\(596\) −4.61777 0.863211i −0.189151 0.0353585i
\(597\) 1.54521 + 1.69502i 0.0632413 + 0.0693724i
\(598\) 0.0163636 0.000756537i 0.000669159 3.09371e-5i
\(599\) −31.4093 28.6333i −1.28335 1.16993i −0.975865 0.218373i \(-0.929925\pi\)
−0.307483 0.951554i \(-0.599487\pi\)
\(600\) −0.0907312 + 0.0126565i −0.00370409 + 0.000516698i
\(601\) 9.24738 39.3175i 0.377209 1.60379i −0.363251 0.931691i \(-0.618333\pi\)
0.740459 0.672101i \(-0.234608\pi\)
\(602\) 0.0113019 0.00499028i 0.000460631 0.000203389i
\(603\) −18.2002 5.17840i −0.741169 0.210881i
\(604\) −3.51700 18.8143i −0.143105 0.765542i
\(605\) −20.4531 + 0.945602i −0.831536 + 0.0384442i
\(606\) −0.0454842 0.00634477i −0.00184767 0.000257739i
\(607\) 19.2681 23.2037i 0.782069 0.941810i −0.217343 0.976095i \(-0.569739\pi\)
0.999412 + 0.0342855i \(0.0109155\pi\)
\(608\) −0.0750836 + 0.0140356i −0.00304504 + 0.000569217i
\(609\) −9.45826 + 1.31937i −0.383268 + 0.0534636i
\(610\) −0.0539776 + 0.0871768i −0.00218549 + 0.00352968i
\(611\) 10.1743 3.94154i 0.411607 0.159458i
\(612\) −9.21802 7.11183i −0.372617 0.287479i
\(613\) 5.58729 + 2.16453i 0.225669 + 0.0874245i 0.471422 0.881908i \(-0.343741\pi\)
−0.245753 + 0.969333i \(0.579035\pi\)
\(614\) −0.104060 + 0.0785828i −0.00419954 + 0.00317135i
\(615\) −13.5585 30.7070i −0.546730 1.23822i
\(616\) 0.0343525 0.00138410
\(617\) 8.76619 + 19.8535i 0.352914 + 0.799273i 0.999341 + 0.0362976i \(0.0115564\pi\)
−0.646427 + 0.762975i \(0.723738\pi\)
\(618\) 0.0116717 0.0116717i 0.000469503 0.000469503i
\(619\) −4.70257 2.61931i −0.189012 0.105279i 0.389243 0.921135i \(-0.372737\pi\)
−0.578255 + 0.815856i \(0.696266\pi\)
\(620\) 21.5009 1.99235i 0.863495 0.0800146i
\(621\) 2.21412 11.8445i 0.0888497 0.475304i
\(622\) −0.0546440 + 0.0797703i −0.00219102 + 0.00319850i
\(623\) −6.20224 + 2.73856i −0.248487 + 0.109718i
\(624\) −5.67476 8.28413i −0.227172 0.331631i
\(625\) −26.4506 16.3775i −1.05802 0.655100i
\(626\) −0.00728132 + 0.0217245i −0.000291020 + 0.000868286i
\(627\) 13.4927 + 6.71855i 0.538845 + 0.268313i
\(628\) 10.2665 6.35675i 0.409678 0.253662i
\(629\) −15.3417 + 12.4741i −0.611714 + 0.497375i
\(630\) −0.00676285 0.00418738i −0.000269438 0.000166829i
\(631\) 14.3890 + 23.2391i 0.572819 + 0.925134i 0.999782 + 0.0208652i \(0.00664208\pi\)
−0.426964 + 0.904269i \(0.640417\pi\)
\(632\) −0.116550 + 0.140356i −0.00463611 + 0.00558305i
\(633\) 1.15953 1.05706i 0.0460874 0.0420142i
\(634\) −0.0941739 + 0.0782010i −0.00374012 + 0.00310576i
\(635\) 28.3134 6.65925i 1.12358 0.264264i
\(636\) −2.56191 18.3657i −0.101586 0.728249i
\(637\) −7.18957 + 3.57998i −0.284861 + 0.141844i
\(638\) 0.0734114 0.118563i 0.00290638 0.00469397i
\(639\) 3.39682 + 10.1347i 0.134376 + 0.400923i
\(640\) 0.192537 0.281070i 0.00761071 0.0111103i
\(641\) −14.3697 + 4.81622i −0.567567 + 0.190229i −0.587007 0.809582i \(-0.699694\pi\)
0.0194401 + 0.999811i \(0.493812\pi\)
\(642\) −0.0137177 0.0482128i −0.000541395 0.00190281i
\(643\) −14.0296 14.0296i −0.553274 0.553274i 0.374110 0.927384i \(-0.377948\pi\)
−0.927384 + 0.374110i \(0.877948\pi\)
\(644\) 1.38098 3.56472i 0.0544182 0.140470i
\(645\) −26.8020 + 24.4333i −1.05533 + 0.962059i
\(646\) −0.00692121 0.0253162i −0.000272311 0.000996052i
\(647\) 5.45088 + 4.96914i 0.214296 + 0.195357i 0.773725 0.633522i \(-0.218391\pi\)
−0.559429 + 0.828878i \(0.688979\pi\)
\(648\) 0.152737 0.0760539i 0.00600007 0.00298768i
\(649\) −21.5167 5.06068i −0.844605 0.198649i
\(650\) 0.00120242 0.0129762i 4.71627e−5 0.000508967i
\(651\) 3.52811 + 2.41681i 0.138278 + 0.0947223i
\(652\) 10.3624 + 3.47313i 0.405823 + 0.136018i
\(653\) 22.3549 22.3549i 0.874815 0.874815i −0.118177 0.992993i \(-0.537705\pi\)
0.992993 + 0.118177i \(0.0377051\pi\)
\(654\) −0.0634667 + 0.0696197i −0.00248174 + 0.00272234i
\(655\) −41.8037 + 31.5687i −1.63341 + 1.23349i
\(656\) 21.5996 + 7.23945i 0.843322 + 0.282653i
\(657\) 0.115136 2.49036i 0.00449190 0.0971583i
\(658\) 0.000846515 0.0183098i 3.30006e−5 0.000713792i
\(659\) −12.3588 + 24.8197i −0.481429 + 0.966839i 0.512693 + 0.858572i \(0.328648\pi\)
−0.994122 + 0.108267i \(0.965470\pi\)
\(660\) −47.8077 + 16.0235i −1.86091 + 0.623715i
\(661\) 19.6244 + 5.58361i 0.763299 + 0.217177i 0.632846 0.774277i \(-0.281886\pi\)
0.130452 + 0.991455i \(0.458357\pi\)
\(662\) −0.0108520 + 0.0143704i −0.000421777 + 0.000558523i
\(663\) 8.03100 6.52988i 0.311898 0.253599i
\(664\) −0.0258581 0.0342416i −0.00100349 0.00132883i
\(665\) 0.899838 + 2.32275i 0.0348942 + 0.0900724i
\(666\) 0.00588192 + 0.0250084i 0.000227920 + 0.000969055i
\(667\) −18.7042 24.7683i −0.724228 0.959032i
\(668\) −9.00528 + 26.8681i −0.348425 + 1.03956i
\(669\) 25.5350 + 30.7507i 0.987241 + 1.18889i
\(670\) 0.141324 + 0.0197139i 0.00545983 + 0.000761613i
\(671\) −14.8812 + 38.4127i −0.574481 + 1.48291i
\(672\) 0.0486740 0.0138490i 0.00187764 0.000534235i
\(673\) −40.5907 + 27.8053i −1.56466 + 1.07182i −0.602935 + 0.797790i \(0.706002\pi\)
−0.961723 + 0.274025i \(0.911645\pi\)
\(674\) 0.0178228 + 0.0319981i 0.000686510 + 0.00123252i
\(675\) −9.33133 2.19471i −0.359163 0.0844744i
\(676\) −21.5802 + 8.36020i −0.830006 + 0.321546i
\(677\) 6.87621 49.2939i 0.264274 1.89452i −0.157020 0.987595i \(-0.550189\pi\)
0.421294 0.906924i \(-0.361576\pi\)
\(678\) 0.0220333 0.117867i 0.000846182 0.00452667i
\(679\) −1.18607 + 2.38195i −0.0455172 + 0.0914108i
\(680\) 0.152510 + 0.0870235i 0.00584848 + 0.00333720i
\(681\) 1.93780 + 3.89163i 0.0742566 + 0.149127i
\(682\) −0.0600635 + 0.0170895i −0.00229995 + 0.000654392i
\(683\) −20.5913 + 17.0988i −0.787904 + 0.654267i −0.942686 0.333682i \(-0.891709\pi\)
0.154782 + 0.987949i \(0.450533\pi\)
\(684\) 4.65653 + 0.870457i 0.178047 + 0.0332828i
\(685\) 43.9913 + 2.03384i 1.68082 + 0.0777091i
\(686\) −0.00380572 0.0272823i −0.000145303 0.00104164i
\(687\) 27.0280 + 48.5246i 1.03118 + 1.85133i
\(688\) 24.6132i 0.938368i
\(689\) 5.25327 + 0.486787i 0.200134 + 0.0185451i
\(690\) 0.00373078 0.0806955i 0.000142028 0.00307203i
\(691\) 14.3687 + 8.00330i 0.546610 + 0.304460i 0.735485 0.677541i \(-0.236955\pi\)
−0.188875 + 0.982001i \(0.560484\pi\)
\(692\) 5.16540 9.27368i 0.196359 0.352532i
\(693\) −2.97991 1.15442i −0.113198 0.0438530i
\(694\) 0.0990852 + 0.0678750i 0.00376122 + 0.00257650i
\(695\) −21.5128 1.99346i −0.816028 0.0756162i
\(696\) 0.0749583 0.263451i 0.00284129 0.00998609i
\(697\) −5.61208 + 22.8016i −0.212573 + 0.863673i
\(698\) −0.0188327 0.0661900i −0.000712827 0.00250533i
\(699\) 2.73487 + 14.6303i 0.103442 + 0.553368i
\(700\) −2.78210 1.22842i −0.105153 0.0464297i
\(701\) 7.41306 4.58997i 0.279987 0.173361i −0.379253 0.925293i \(-0.623819\pi\)
0.659241 + 0.751932i \(0.270878\pi\)
\(702\) 0.00346337 + 0.0147253i 0.000130716 + 0.000555772i
\(703\) 3.24968 7.35982i 0.122564 0.277581i
\(704\) 13.8215 31.3027i 0.520918 1.17977i
\(705\) −19.4373 50.1734i −0.732050 1.88964i
\(706\) −0.0365449 0.0181972i −0.00137539 0.000684861i
\(707\) −2.34584 1.94796i −0.0882245 0.0732607i
\(708\) −21.6848 + 1.00255i −0.814964 + 0.0376781i
\(709\) −24.1759 24.1759i −0.907945 0.907945i 0.0881614 0.996106i \(-0.471901\pi\)
−0.996106 + 0.0881614i \(0.971901\pi\)
\(710\) −0.0359278 0.0721528i −0.00134835 0.00270785i
\(711\) 14.8268 8.25850i 0.556050 0.309718i
\(712\) 0.194461i 0.00728774i
\(713\) −1.28242 + 13.8395i −0.0480270 + 0.518294i
\(714\) 0.00611343 + 0.0162778i 0.000228789 + 0.000609181i
\(715\) −1.32361 14.2841i −0.0495004 0.534194i
\(716\) 42.8709 3.97257i 1.60216 0.148462i
\(717\) 1.85676 + 40.1611i 0.0693419 + 1.49984i
\(718\) 0.000313161 0.00110065i 1.16871e−5 4.10758e-5i
\(719\) −27.1750 + 15.1364i −1.01346 + 0.564491i −0.903113 0.429403i \(-0.858724\pi\)
−0.110342 + 0.993894i \(0.535195\pi\)
\(720\) −13.0735 + 8.95554i −0.487220 + 0.333753i
\(721\) 1.06683 0.250916i 0.0397308 0.00934460i
\(722\) −0.0413735 0.0453845i −0.00153976 0.00168904i
\(723\) −17.6640 19.3765i −0.656931 0.720619i
\(724\) −17.9607 + 4.22433i −0.667505 + 0.156996i
\(725\) −20.3702 + 13.9539i −0.756531 + 0.518236i
\(726\) 0.0508041 0.0282977i 0.00188552 0.00105023i
\(727\) 3.27353 11.5052i 0.121408 0.426706i −0.877160 0.480198i \(-0.840565\pi\)
0.998568 + 0.0534923i \(0.0170353\pi\)
\(728\) 0.000443291 0.00958823i 1.64294e−5 0.000355364i
\(729\) 5.12508 0.474909i 0.189818 0.0175892i
\(730\) 0.00173460 + 0.0187194i 6.42006e−5 + 0.000692834i
\(731\) 25.2858 2.07987i 0.935229 0.0769269i
\(732\) −3.73287 + 40.2841i −0.137971 + 1.48894i
\(733\) 34.7308i 1.28281i −0.767201 0.641406i \(-0.778351\pi\)
0.767201 0.641406i \(-0.221649\pi\)
\(734\) −0.0825745 + 0.0459937i −0.00304788 + 0.00169766i
\(735\) 17.6543 + 35.4546i 0.651188 + 1.30776i
\(736\) 0.116298 + 0.116298i 0.00428682 + 0.00428682i
\(737\) 57.2671 2.64762i 2.10946 0.0975262i
\(738\) 0.0234724 + 0.0194912i 0.000864029 + 0.000717481i
\(739\) 2.49684 + 1.24328i 0.0918476 + 0.0457347i 0.491075 0.871117i \(-0.336604\pi\)
−0.399228 + 0.916852i \(0.630722\pi\)
\(740\) 9.72215 + 25.0958i 0.357393 + 0.922538i
\(741\) −1.70112 + 3.85268i −0.0624923 + 0.141532i
\(742\) −0.00357983 + 0.00810755i −0.000131420 + 0.000297638i
\(743\) −1.83959 7.82147i −0.0674881 0.286942i 0.929063 0.369921i \(-0.120615\pi\)
−0.996551 + 0.0829792i \(0.973556\pi\)
\(744\) −0.104286 + 0.0645713i −0.00382332 + 0.00236730i
\(745\) −6.02943 2.66226i −0.220901 0.0975375i
\(746\) 0.00929711 + 0.0497351i 0.000340391 + 0.00182093i
\(747\) 1.09236 + 3.83926i 0.0399675 + 0.140471i
\(748\) 33.3266 + 11.5542i 1.21854 + 0.422465i
\(749\) 0.910796 3.20111i 0.0332797 0.116966i
\(750\) 0.0473479 + 0.00438743i 0.00172890 + 0.000160206i
\(751\) 29.4775 + 20.1926i 1.07565 + 0.736838i 0.966365 0.257173i \(-0.0827910\pi\)
0.109285 + 0.994010i \(0.465144\pi\)
\(752\) 34.0504 + 13.1912i 1.24169 + 0.481034i
\(753\) −24.3364 + 43.6922i −0.886867 + 1.59223i
\(754\) 0.0340399 + 0.0189601i 0.00123966 + 0.000690487i
\(755\) 1.24021 26.8253i 0.0451358 0.976272i
\(756\) 3.51517 + 0.325728i 0.127845 + 0.0118466i
\(757\) 11.5753i 0.420712i 0.977625 + 0.210356i \(0.0674623\pi\)
−0.977625 + 0.210356i \(0.932538\pi\)
\(758\) −0.0291267 0.0522924i −0.00105793 0.00189934i
\(759\) −4.48386 32.1437i −0.162754 1.16674i
\(760\) −0.0713691 0.00329959i −0.00258883 0.000119689i
\(761\) −28.5191 5.33114i −1.03382 0.193254i −0.360616 0.932714i \(-0.617433\pi\)
−0.673199 + 0.739461i \(0.735080\pi\)
\(762\) −0.0635553 + 0.0527756i −0.00230236 + 0.00191186i
\(763\) −6.01614 + 1.71174i −0.217799 + 0.0619691i
\(764\) 20.4613 + 41.0919i 0.740265 + 1.48665i
\(765\) −10.3050 12.6740i −0.372579 0.458229i
\(766\) −0.0136253 + 0.0273633i −0.000492302 + 0.000988676i
\(767\) 1.13485 6.07090i 0.0409770 0.219208i
\(768\) 4.64271 33.2825i 0.167529 1.20098i
\(769\) 34.1681 13.2368i 1.23213 0.477331i 0.344895 0.938641i \(-0.387914\pi\)
0.887239 + 0.461310i \(0.152620\pi\)
\(770\) 0.0234583 + 0.00551735i 0.000845380 + 0.000198832i
\(771\) −10.2734 18.4443i −0.369989 0.664257i
\(772\) −18.8502 + 12.9127i −0.678434 + 0.464738i
\(773\) 5.33777 1.51873i 0.191986 0.0546248i −0.176304 0.984336i \(-0.556414\pi\)
0.368290 + 0.929711i \(0.379943\pi\)
\(774\) 0.0119081 0.0307384i 0.000428029 0.00110487i
\(775\) 10.9510 + 1.52759i 0.393370 + 0.0548727i
\(776\) −0.0487567 0.0587155i −0.00175026 0.00210776i
\(777\) −1.69388 + 5.05386i −0.0607678 + 0.181306i
\(778\) −0.0408488 0.0540926i −0.00146450 0.00193931i
\(779\) −2.18751 9.30072i −0.0783757 0.333233i
\(780\) −5.08930 13.1370i −0.182226 0.470380i
\(781\) −19.5152 25.8423i −0.698309 0.924710i
\(782\) −0.0365493 + 0.0431009i −0.00130700 + 0.00154128i
\(783\) 17.2723 22.8723i 0.617263 0.817389i
\(784\) −25.8533 7.35590i −0.923332 0.262711i
\(785\) 16.0634 5.38390i 0.573326 0.192160i
\(786\) 0.0663187 0.133186i 0.00236551 0.00475059i
\(787\) −1.58006 34.1761i −0.0563229 1.21825i −0.819891 0.572519i \(-0.805966\pi\)
0.763569 0.645727i \(-0.223446\pi\)
\(788\) −0.460073 + 9.95124i −0.0163894 + 0.354498i
\(789\) 35.6930 + 11.9631i 1.27070 + 0.425897i
\(790\) −0.102131 + 0.0771259i −0.00363366 + 0.00274402i
\(791\) 5.36358 5.88357i 0.190707 0.209196i
\(792\) 0.0648127 0.0648127i 0.00230302 0.00230302i
\(793\) −10.9135 3.65784i −0.387550 0.129894i
\(794\) 0.115732 + 0.0792781i 0.00410717 + 0.00281348i
\(795\) 2.40054 25.9059i 0.0851383 0.918789i
\(796\) −2.12592 0.500013i −0.0753514 0.0177225i
\(797\) −23.8427 + 11.8722i −0.844551 + 0.420537i −0.815302 0.579036i \(-0.803429\pi\)
−0.0292490 + 0.999572i \(0.509312\pi\)
\(798\) −0.00522841 0.00476632i −0.000185084 0.000168726i
\(799\) −10.6744 + 36.0957i −0.377632 + 1.27697i
\(800\) 0.0966936 0.0881479i 0.00341864 0.00311650i
\(801\) −6.53492 + 16.8686i −0.230900 + 0.596022i
\(802\) −0.0450140 0.0450140i −0.00158950 0.00158950i
\(803\) 2.06696 + 7.26460i 0.0729413 + 0.256362i
\(804\) 53.3829 17.8921i 1.88267 0.631007i
\(805\) 3.03113 4.42491i 0.106833 0.155958i
\(806\) −0.00554499 0.0165440i −0.000195314 0.000582737i
\(807\) 16.6265 26.8526i 0.585279 0.945258i
\(808\) 0.0782878 0.0389827i 0.00275415 0.00137141i
\(809\) 2.95241 + 21.1651i 0.103801 + 0.744126i 0.969769 + 0.244026i \(0.0784682\pi\)
−0.865967 + 0.500100i \(0.833296\pi\)
\(810\) 0.116515 0.0274040i 0.00409391 0.000962879i
\(811\) 18.3775 15.2605i 0.645322 0.535869i −0.257284 0.966336i \(-0.582828\pi\)
0.902606 + 0.430467i \(0.141651\pi\)
\(812\) 6.71987 6.12597i 0.235821 0.214979i
\(813\) −23.2382 + 27.9847i −0.815000 + 0.981467i
\(814\) −0.0409740 0.0661754i −0.00143614 0.00231945i
\(815\) 13.0368 + 8.07204i 0.456659 + 0.282751i
\(816\) 34.5854 + 1.95719i 1.21073 + 0.0685155i
\(817\) −8.77692 + 5.43444i −0.307066 + 0.190127i
\(818\) −0.0402833 0.0200587i −0.00140847 0.000701335i
\(819\) 0.283762 0.846630i 0.00991544 0.0295837i
\(820\) 27.1743 + 16.8256i 0.948968 + 0.587576i
\(821\) −17.0443 24.8816i −0.594850 0.868373i 0.404076 0.914726i \(-0.367593\pi\)
−0.998925 + 0.0463522i \(0.985240\pi\)
\(822\) −0.114421 + 0.0505220i −0.00399090 + 0.00176216i
\(823\) 15.5229 22.6606i 0.541094 0.789899i −0.453770 0.891119i \(-0.649921\pi\)
0.994864 + 0.101219i \(0.0322744\pi\)
\(824\) −0.00577591 + 0.0308984i −0.000201213 + 0.00107640i
\(825\) −25.7089 + 2.38228i −0.895069 + 0.0829404i
\(826\) 0.00906391 + 0.00504856i 0.000315374 + 0.000175662i
\(827\) 21.9939 21.9939i 0.764803 0.764803i −0.212383 0.977186i \(-0.568123\pi\)
0.977186 + 0.212383i \(0.0681226\pi\)
\(828\) −4.12006 9.33104i −0.143182 0.324276i
\(829\) 9.18344 0.318954 0.159477 0.987202i \(-0.449019\pi\)
0.159477 + 0.987202i \(0.449019\pi\)
\(830\) −0.0121582 0.0275357i −0.000422017 0.000955778i
\(831\) −33.1294 + 25.0182i −1.14925 + 0.867870i
\(832\) 8.91536 + 3.45383i 0.309085 + 0.119740i
\(833\) 5.37226 27.1814i 0.186138 0.941781i
\(834\) 0.0572194 0.0221669i 0.00198135 0.000767577i
\(835\) −20.9296 + 33.8024i −0.724297 + 1.16978i
\(836\) −14.2143 + 1.98281i −0.491612 + 0.0685769i
\(837\) −12.6163 + 2.35840i −0.436083 + 0.0815181i
\(838\) −0.0268237 + 0.0323026i −0.000926609 + 0.00111587i
\(839\) 23.1403 + 3.22793i 0.798891 + 0.111441i 0.525867 0.850567i \(-0.323741\pi\)
0.273024 + 0.962007i \(0.411976\pi\)
\(840\) 0.0472833 0.00218604i 0.00163143 7.54255e-5i
\(841\) −8.23664 44.0621i −0.284022 1.51938i
\(842\) 0.00981521 + 0.00279267i 0.000338255 + 9.62417e-5i
\(843\) 55.8288 24.6508i 1.92285 0.849020i
\(844\) −0.342051 + 1.45431i −0.0117739 + 0.0500594i
\(845\) −32.1585 + 4.48592i −1.10629 + 0.154320i
\(846\) 0.0361422 + 0.0329480i 0.00124260 + 0.00113278i
\(847\) 3.85701 + 0.178320i 0.132528 + 0.00612716i
\(848\) 11.8951 + 13.0483i 0.408480 + 0.448081i
\(849\) 39.3319 + 7.35240i 1.34987 + 0.252334i
\(850\) 0.0329089 + 0.0306288i 0.00112876 + 0.00105056i
\(851\) −17.0283 + 3.18314i −0.583722 + 0.109117i
\(852\) −25.3795 19.1657i −0.869486 0.656605i
\(853\) 20.3030 + 29.6387i 0.695162 + 1.01481i 0.998089 + 0.0617973i \(0.0196832\pi\)
−0.302927 + 0.953014i \(0.597964\pi\)
\(854\) 0.0116524 0.0154303i 0.000398739 0.000528015i
\(855\) 6.08005 + 2.68460i 0.207933 + 0.0918115i
\(856\) 0.0734391 + 0.0609830i 0.00251010 + 0.00208436i
\(857\) −32.7389 39.4260i −1.11834 1.34677i −0.931232 0.364427i \(-0.881265\pi\)
−0.187109 0.982339i \(-0.559912\pi\)
\(858\) 0.0214489 + 0.0346411i 0.000732252 + 0.00118263i
\(859\) −12.0924 9.13176i −0.412587 0.311571i 0.375857 0.926678i \(-0.377348\pi\)
−0.788444 + 0.615106i \(0.789113\pi\)
\(860\) 7.90632 33.6156i 0.269603 1.14628i
\(861\) 2.01163 + 6.00189i 0.0685562 + 0.204544i
\(862\) −0.00336660 + 0.0241344i −0.000114667 + 0.000822019i
\(863\) 4.02267 + 43.4116i 0.136933 + 1.47775i 0.735964 + 0.677021i \(0.236729\pi\)
−0.599031 + 0.800726i \(0.704447\pi\)
\(864\) −0.0739057 + 0.132686i −0.00251432 + 0.00451408i
\(865\) 10.0335 11.0063i 0.341151 0.374224i
\(866\) 0.100529 0.00341610
\(867\) 0.911868 + 35.6960i 0.0309687 + 1.21230i
\(868\) −4.07197 −0.138212
\(869\) −34.6400 + 37.9982i −1.17508 + 1.28900i
\(870\) 0.0934998 0.167864i 0.00316994 0.00569113i
\(871\) 1.47797 + 15.9498i 0.0500791 + 0.540440i
\(872\) 0.0247856 0.177682i 0.000839347 0.00601708i
\(873\) 2.25626 + 6.73177i 0.0763629 + 0.227836i
\(874\) 0.00526440 0.0223829i 0.000178071 0.000757112i
\(875\) 2.51947 + 1.90261i 0.0851735 + 0.0643201i
\(876\) 3.90489 + 6.30662i 0.131934 + 0.213081i
\(877\) 33.7528 + 40.6470i 1.13975 + 1.37255i 0.917584 + 0.397543i \(0.130137\pi\)
0.222168 + 0.975008i \(0.428687\pi\)
\(878\) 0.0751797 + 0.0624285i 0.00253719 + 0.00210686i
\(879\) −8.44374 3.72828i −0.284800 0.125752i
\(880\) 28.9322 38.3124i 0.975305 1.29151i
\(881\) 17.8461 + 26.0520i 0.601249 + 0.877716i 0.999212 0.0396859i \(-0.0126357\pi\)
−0.397963 + 0.917401i \(0.630283\pi\)
\(882\) −0.0287283 0.0216946i −0.000967333 0.000730496i
\(883\) −33.8212 + 6.32227i −1.13817 + 0.212761i −0.718910 0.695104i \(-0.755359\pi\)
−0.419263 + 0.907865i \(0.637711\pi\)
\(884\) −2.79489 + 9.45100i −0.0940023 + 0.317872i
\(885\) −29.9380 5.59638i −1.00635 0.188120i
\(886\) 0.0644276 + 0.0706737i 0.00216449 + 0.00237433i
\(887\) 21.7628 + 1.00615i 0.730723 + 0.0337833i 0.408345 0.912828i \(-0.366106\pi\)
0.322378 + 0.946611i \(0.395518\pi\)
\(888\) −0.112979 0.102994i −0.00379134 0.00345626i
\(889\) −5.43239 + 0.757786i −0.182196 + 0.0254153i
\(890\) 0.0312324 0.132792i 0.00104691 0.00445120i
\(891\) 43.9910 19.4239i 1.47375 0.650726i
\(892\) −36.6059 10.4153i −1.22566 0.348729i
\(893\) −2.81422 15.0547i −0.0941743 0.503788i
\(894\) 0.0187001 0.000864556i 0.000625423 2.89151e-5i
\(895\) 59.8269 + 8.34550i 1.99979 + 0.278959i
\(896\) −0.0410441 + 0.0494275i −0.00137119 + 0.00165126i
\(897\) 8.91388 1.66629i 0.297626 0.0556359i
\(898\) 0.100410 0.0140066i 0.00335074 0.000467408i
\(899\) −17.4037 + 28.1079i −0.580445 + 0.937452i
\(900\) −7.56662 + 2.93132i −0.252221 + 0.0977108i
\(901\) −12.3998 + 13.3228i −0.413096 + 0.443848i
\(902\) −0.0861919 0.0333909i −0.00286988 0.00111180i
\(903\) 5.45786 4.12158i 0.181626 0.137158i
\(904\) 0.0922349 + 0.208892i 0.00306769 + 0.00694765i
\(905\) −25.8868 −0.860506
\(906\) 0.0308076 + 0.0697725i 0.00102351 + 0.00231804i
\(907\) 31.4159 31.4159i 1.04315 1.04315i 0.0441213 0.999026i \(-0.485951\pi\)
0.999026 0.0441213i \(-0.0140488\pi\)
\(908\) −3.61632 2.01428i −0.120012 0.0668462i
\(909\) −8.10111 + 0.750679i −0.268697 + 0.0248984i
\(910\) −0.00123726 + 0.00661873i −4.10146e−5 + 0.000219409i
\(911\) 6.67429 9.74326i 0.221129 0.322809i −0.698490 0.715620i \(-0.746144\pi\)
0.919619 + 0.392811i \(0.128497\pi\)
\(912\) −12.8938 + 5.69318i −0.426957 + 0.188520i
\(913\) −6.83430 9.97684i −0.226182 0.330185i
\(914\) 0.0621125 + 0.0384584i 0.00205450 + 0.00127209i
\(915\) −18.0383 + 53.8188i −0.596326 + 1.77920i
\(916\) −47.3429 23.5740i −1.56425 0.778906i
\(917\) 8.39895 5.20041i 0.277358 0.171733i
\(918\) −0.0475186 0.0215708i −0.00156835 0.000711943i
\(919\) 37.4586 + 23.1934i 1.23564 + 0.765079i 0.979477 0.201554i \(-0.0645990\pi\)
0.256167 + 0.966632i \(0.417540\pi\)
\(920\) 0.0809845 + 0.130794i 0.00266998 + 0.00431216i
\(921\) −46.1160 + 55.5354i −1.51957 + 1.82995i
\(922\) 0.0300432 0.0273880i 0.000989421 0.000901977i
\(923\) 6.96110 5.78043i 0.229127 0.190265i
\(924\) 9.25585 2.17696i 0.304495 0.0716166i
\(925\) 1.90397 + 13.6491i 0.0626021 + 0.448780i
\(926\) 0.0798933 0.0397821i 0.00262546 0.00130732i
\(927\) 1.53938 2.48619i 0.0505599 0.0816571i
\(928\) 0.124323 + 0.370930i 0.00408111 + 0.0121764i
\(929\) 19.9108 29.0661i 0.653251 0.953629i −0.346627 0.938003i \(-0.612673\pi\)
0.999878 0.0156260i \(-0.00497411\pi\)
\(930\) −0.0815849 + 0.0273445i −0.00267527 + 0.000896662i
\(931\) 3.08518 + 10.8433i 0.101113 + 0.355375i
\(932\) −10.0210 10.0210i −0.328249 0.328249i
\(933\) −19.3361 + 49.9121i −0.633034 + 1.63405i
\(934\) −0.0618676 + 0.0563998i −0.00202437 + 0.00184546i
\(935\) 41.8043 + 26.4854i 1.36715 + 0.866165i
\(936\) 0.0189264 + 0.0172537i 0.000618630 + 0.000563956i
\(937\) 34.0532 16.9565i 1.11247 0.553944i 0.206994 0.978342i \(-0.433632\pi\)
0.905476 + 0.424398i \(0.139514\pi\)
\(938\) −0.0261940 0.00616077i −0.000855264 0.000201156i
\(939\) −1.17031 + 12.6297i −0.0381917 + 0.412155i
\(940\) 42.2673 + 28.9538i 1.37861 + 0.944369i
\(941\) 9.19828 + 3.08295i 0.299855 + 0.100501i 0.463721 0.885981i \(-0.346514\pi\)
−0.163866 + 0.986483i \(0.552396\pi\)
\(942\) −0.0340246 + 0.0340246i −0.00110858 + 0.00110858i
\(943\) −13.8598 + 15.2035i −0.451338 + 0.495094i
\(944\) 16.4946 12.4562i 0.536855 0.405414i
\(945\) 4.69621 + 1.57401i 0.152768 + 0.0512025i
\(946\) −0.00461234 + 0.0997634i −0.000149960 + 0.00324359i
\(947\) −1.29624 28.0372i −0.0421221 0.911087i −0.910076 0.414442i \(-0.863977\pi\)
0.867954 0.496645i \(-0.165435\pi\)
\(948\) −22.5084 + 45.2030i −0.731040 + 1.46813i
\(949\) −2.00097 + 0.670659i −0.0649544 + 0.0217705i
\(950\) −0.0175939 0.00500591i −0.000570823 0.000162413i
\(951\) −40.8367 + 54.0766i −1.32422 + 1.75355i
\(952\) −0.0271231 0.0189944i −0.000879066 0.000615612i
\(953\) −24.8500 32.9067i −0.804969 1.06595i −0.996428 0.0844510i \(-0.973086\pi\)
0.191458 0.981501i \(-0.438678\pi\)
\(954\) 0.00854243 + 0.0220506i 0.000276571 + 0.000713913i
\(955\) 14.7455 + 62.6938i 0.477152 + 2.02872i
\(956\) −23.0695 30.5489i −0.746120 0.988023i
\(957\) 24.5327 73.1955i 0.793028 2.36607i
\(958\) 0.0509177 + 0.0613178i 0.00164507 + 0.00198109i
\(959\) −8.22504 1.14734i −0.265600 0.0370497i
\(960\) 17.0322 43.9651i 0.549711 1.41897i
\(961\) −15.5773 + 4.43212i −0.502493 + 0.142972i
\(962\) 0.0179417 0.0122903i 0.000578463 0.000396256i
\(963\) −4.32114 7.75793i −0.139247 0.249996i
\(964\) 24.3024 + 5.71586i 0.782726 + 0.184096i
\(965\) −29.8925 + 11.5804i −0.962273 + 0.372787i
\(966\) −0.00210463 + 0.0150876i −6.77154e−5 + 0.000485436i
\(967\) −6.55948 + 35.0901i −0.210939 + 1.12842i 0.699454 + 0.714678i \(0.253427\pi\)
−0.910393 + 0.413745i \(0.864221\pi\)
\(968\) −0.0493630 + 0.0991343i −0.00158659 + 0.00318630i
\(969\) −6.93833 12.7651i −0.222891 0.410074i
\(970\) −0.0238643 0.0479259i −0.000766236 0.00153881i
\(971\) −1.96160 + 0.558122i −0.0629506 + 0.0179110i −0.304992 0.952355i \(-0.598654\pi\)
0.242041 + 0.970266i \(0.422183\pi\)
\(972\) 20.9357 17.3848i 0.671512 0.557616i
\(973\) 4.00487 + 0.748639i 0.128390 + 0.0240003i
\(974\) 0.110796 + 0.00512241i 0.00355014 + 0.000164133i
\(975\) −0.996679 7.14496i −0.0319193 0.228822i
\(976\) −18.7447 33.6531i −0.600002 1.07721i
\(977\) 29.3300i 0.938350i −0.883105 0.469175i \(-0.844551\pi\)
0.883105 0.469175i \(-0.155449\pi\)
\(978\) −0.0433648 0.00401834i −0.00138665 0.000128492i
\(979\) 2.53115 54.7479i 0.0808959 1.74975i
\(980\) −32.9465 18.3511i −1.05244 0.586203i
\(981\) −8.12109 + 14.5802i −0.259287 + 0.465509i
\(982\) 0.106466 + 0.0412451i 0.00339746 + 0.00131618i
\(983\) −22.5663 15.4583i −0.719754 0.493043i 0.148656 0.988889i \(-0.452505\pi\)
−0.868411 + 0.495846i \(0.834858\pi\)
\(984\) −0.180783 0.0167520i −0.00576314 0.000534034i
\(985\) −3.82489 + 13.4431i −0.121871 + 0.428333i
\(986\) −0.123519 + 0.0530212i −0.00393365 + 0.00168854i
\(987\) 2.77681 + 9.75946i 0.0883867 + 0.310647i
\(988\) −0.736853 3.94181i −0.0234424 0.125406i
\(989\) 20.3339 + 8.97830i 0.646581 + 0.285493i
\(990\) 0.0546683 0.0338492i 0.00173747 0.00107580i
\(991\) 7.16751 + 30.4744i 0.227684 + 0.968051i 0.958413 + 0.285384i \(0.0921212\pi\)
−0.730730 + 0.682667i \(0.760820\pi\)
\(992\) 0.0707620 0.160261i 0.00224670 0.00508828i
\(993\) −4.02657 + 9.11932i −0.127779 + 0.289393i
\(994\) 0.00549087 + 0.0141736i 0.000174160 + 0.000449558i
\(995\) −2.74286 1.36578i −0.0869546 0.0432982i
\(996\) −9.13706 7.58732i −0.289519 0.240413i
\(997\) 22.7592 1.05222i 0.720792 0.0333242i 0.317323 0.948318i \(-0.397216\pi\)
0.403469 + 0.914993i \(0.367804\pi\)
\(998\) −0.0690078 0.0690078i −0.00218440 0.00218440i
\(999\) −7.13055 14.3201i −0.225600 0.453067i
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 \(a_p\))

Twists

       By twisting character
Char Parity Ord Type Twist Min Dim
1.1 even 1 trivial 289.2.h.a.115.13 768
289.191 even 68 inner 289.2.h.a.191.13 yes 768
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
289.2.h.a.115.13 768 1.1 even 1 trivial
289.2.h.a.191.13 yes 768 289.191 even 68 inner