Properties

Label 750.2.o.b.469.13
Level $750$
Weight $2$
Character 750.469
Analytic conductor $5.989$
Analytic rank $0$
Dimension $280$
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] = [750,2,Mod(19,750)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(750, base_ring=CyclotomicField(50))
 
chi = DirichletCharacter(H, H._module([0, 9]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("750.19");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 750 = 2 \cdot 3 \cdot 5^{3} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 750.o (of order \(50\), degree \(20\), 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: \(5.98878015160\)
Analytic rank: \(0\)
Dimension: \(280\)
Relative dimension: \(14\) over \(\Q(\zeta_{50})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{50}]$

Embedding invariants

Embedding label 469.13
Character \(\chi\) \(=\) 750.469
Dual form 750.2.o.b.379.13

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(0.998027 - 0.0627905i) q^{2} +(0.904827 - 0.425779i) q^{3} +(0.992115 - 0.125333i) q^{4} +(1.53820 + 1.62295i) q^{5} +(0.876307 - 0.481754i) q^{6} +(-2.30964 - 3.17894i) q^{7} +(0.982287 - 0.187381i) q^{8} +(0.637424 - 0.770513i) q^{9} +O(q^{10})\) \(q+(0.998027 - 0.0627905i) q^{2} +(0.904827 - 0.425779i) q^{3} +(0.992115 - 0.125333i) q^{4} +(1.53820 + 1.62295i) q^{5} +(0.876307 - 0.481754i) q^{6} +(-2.30964 - 3.17894i) q^{7} +(0.982287 - 0.187381i) q^{8} +(0.637424 - 0.770513i) q^{9} +(1.63707 + 1.52316i) q^{10} +(-0.118318 - 1.88061i) q^{11} +(0.844328 - 0.535827i) q^{12} +(3.84529 + 3.18110i) q^{13} +(-2.50468 - 3.02764i) q^{14} +(2.08282 + 0.813553i) q^{15} +(0.968583 - 0.248690i) q^{16} +(0.667741 - 5.28571i) q^{17} +(0.587785 - 0.809017i) q^{18} +(1.01901 - 2.16551i) q^{19} +(1.72948 + 1.41736i) q^{20} +(-3.44335 - 1.89300i) q^{21} +(-0.236169 - 1.86947i) q^{22} +(1.28546 + 3.24670i) q^{23} +(0.809017 - 0.587785i) q^{24} +(-0.267903 + 4.99282i) q^{25} +(4.03745 + 2.93338i) q^{26} +(0.248690 - 0.968583i) q^{27} +(-2.68985 - 2.86440i) q^{28} +(-2.88606 + 2.71019i) q^{29} +(2.12979 + 0.681166i) q^{30} +(7.86450 + 0.993518i) q^{31} +(0.951057 - 0.309017i) q^{32} +(-0.907782 - 1.65125i) q^{33} +(0.334531 - 5.31721i) q^{34} +(1.60657 - 8.63825i) q^{35} +(0.535827 - 0.844328i) q^{36} +(2.55731 + 9.96008i) q^{37} +(0.881029 - 2.22523i) q^{38} +(4.83377 + 1.24110i) q^{39} +(1.81506 + 1.30597i) q^{40} +(-7.03341 - 2.78473i) q^{41} +(-3.55541 - 1.67305i) q^{42} +(-9.43647 - 3.06609i) q^{43} +(-0.353088 - 1.85095i) q^{44} +(2.23098 - 0.150697i) q^{45} +(1.48679 + 3.15958i) q^{46} +(-7.86249 - 1.49985i) q^{47} +(0.770513 - 0.637424i) q^{48} +(-2.60813 + 8.02699i) q^{49} +(0.0461273 + 4.99979i) q^{50} +(-1.64636 - 5.06697i) q^{51} +(4.21367 + 2.67408i) q^{52} +(-4.73528 + 8.61344i) q^{53} +(0.187381 - 0.982287i) q^{54} +(2.87013 - 3.08477i) q^{55} +(-2.86440 - 2.68985i) q^{56} -2.39329i q^{57} +(-2.71019 + 2.88606i) q^{58} +(5.29732 + 8.34724i) q^{59} +(2.16836 + 0.546091i) q^{60} +(3.90842 - 1.54745i) q^{61} +(7.91137 + 0.497741i) q^{62} +(-3.92163 - 0.246728i) q^{63} +(0.929776 - 0.368125i) q^{64} +(0.752060 + 11.1339i) q^{65} +(-1.00967 - 1.59099i) q^{66} +(-1.55572 + 1.65667i) q^{67} -5.32773i q^{68} +(2.54550 + 2.39038i) q^{69} +(1.06100 - 8.72208i) q^{70} +(0.254905 - 1.33626i) q^{71} +(0.481754 - 0.876307i) q^{72} +(-9.27611 - 5.88680i) q^{73} +(3.17767 + 9.77985i) q^{74} +(1.88343 + 4.63170i) q^{75} +(0.739568 - 2.27616i) q^{76} +(-5.70508 + 4.71965i) q^{77} +(4.90217 + 0.935138i) q^{78} +(-7.17514 - 15.2480i) q^{79} +(1.89348 + 1.18942i) q^{80} +(-0.187381 - 0.982287i) q^{81} +(-7.19439 - 2.33760i) q^{82} +(-0.980863 - 0.461559i) q^{83} +(-3.65345 - 1.44650i) q^{84} +(9.60554 - 7.04676i) q^{85} +(-9.61037 - 2.46752i) q^{86} +(-1.45744 + 3.68108i) q^{87} +(-0.468614 - 1.82513i) q^{88} +(-4.97883 + 7.84539i) q^{89} +(2.21712 - 0.290484i) q^{90} +(1.23131 - 19.5711i) q^{91} +(1.68224 + 3.05999i) q^{92} +(7.53903 - 2.44958i) q^{93} +(-7.94116 - 1.00320i) q^{94} +(5.08196 - 1.67718i) q^{95} +(0.728969 - 0.684547i) q^{96} +(-4.18460 - 4.45614i) q^{97} +(-2.09896 + 8.17491i) q^{98} +(-1.52445 - 1.10758i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 280 q+O(q^{10}) \) Copy content Toggle raw display \( 280 q - 10 q^{11} - 20 q^{13} + 30 q^{17} + 10 q^{19} + 20 q^{22} + 60 q^{23} + 70 q^{24} + 20 q^{25} + 20 q^{29} + 10 q^{30} + 20 q^{31} + 20 q^{33} - 10 q^{34} + 30 q^{35} - 20 q^{37} + 90 q^{38} - 40 q^{41} - 10 q^{46} - 100 q^{47} + 120 q^{49} - 20 q^{50} - 30 q^{51} + 80 q^{52} - 30 q^{53} - 10 q^{55} + 30 q^{58} + 20 q^{59} + 60 q^{61} - 50 q^{62} - 10 q^{63} + 20 q^{65} + 40 q^{66} + 50 q^{67} + 10 q^{69} + 20 q^{70} + 80 q^{71} - 20 q^{73} + 80 q^{75} - 30 q^{76} - 100 q^{77} - 100 q^{79} + 100 q^{82} + 30 q^{83} - 20 q^{86} - 10 q^{87} - 60 q^{89} - 10 q^{90} + 70 q^{91} - 120 q^{92} + 50 q^{93} + 30 q^{94} - 20 q^{95} + 10 q^{97} + 40 q^{98} + 20 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/750\mathbb{Z}\right)^\times\).

\(n\) \(127\) \(251\)
\(\chi(n)\) \(e\left(\frac{49}{50}\right)\) \(1\)

Coefficient data

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



Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.998027 0.0627905i 0.705711 0.0443996i
\(3\) 0.904827 0.425779i 0.522402 0.245824i
\(4\) 0.992115 0.125333i 0.496057 0.0626666i
\(5\) 1.53820 + 1.62295i 0.687902 + 0.725803i
\(6\) 0.876307 0.481754i 0.357751 0.196675i
\(7\) −2.30964 3.17894i −0.872960 1.20153i −0.978321 0.207092i \(-0.933600\pi\)
0.105361 0.994434i \(-0.466400\pi\)
\(8\) 0.982287 0.187381i 0.347291 0.0662493i
\(9\) 0.637424 0.770513i 0.212475 0.256838i
\(10\) 1.63707 + 1.52316i 0.517686 + 0.481665i
\(11\) −0.118318 1.88061i −0.0356742 0.567025i −0.974748 0.223309i \(-0.928314\pi\)
0.939073 0.343716i \(-0.111686\pi\)
\(12\) 0.844328 0.535827i 0.243736 0.154680i
\(13\) 3.84529 + 3.18110i 1.06649 + 0.882279i 0.993361 0.115043i \(-0.0367005\pi\)
0.0731321 + 0.997322i \(0.476701\pi\)
\(14\) −2.50468 3.02764i −0.669405 0.809172i
\(15\) 2.08282 + 0.813553i 0.537781 + 0.210058i
\(16\) 0.968583 0.248690i 0.242146 0.0621725i
\(17\) 0.667741 5.28571i 0.161951 1.28197i −0.676274 0.736650i \(-0.736407\pi\)
0.838225 0.545324i \(-0.183593\pi\)
\(18\) 0.587785 0.809017i 0.138542 0.190687i
\(19\) 1.01901 2.16551i 0.233778 0.496803i −0.753174 0.657822i \(-0.771478\pi\)
0.986951 + 0.161019i \(0.0514779\pi\)
\(20\) 1.72948 + 1.41736i 0.386723 + 0.316931i
\(21\) −3.44335 1.89300i −0.751400 0.413086i
\(22\) −0.236169 1.86947i −0.0503514 0.398572i
\(23\) 1.28546 + 3.24670i 0.268037 + 0.676984i 0.999990 0.00437037i \(-0.00139114\pi\)
−0.731953 + 0.681355i \(0.761391\pi\)
\(24\) 0.809017 0.587785i 0.165140 0.119981i
\(25\) −0.267903 + 4.99282i −0.0535806 + 0.998564i
\(26\) 4.03745 + 2.93338i 0.791809 + 0.575283i
\(27\) 0.248690 0.968583i 0.0478604 0.186404i
\(28\) −2.68985 2.86440i −0.508334 0.541321i
\(29\) −2.88606 + 2.71019i −0.535928 + 0.503270i −0.904584 0.426296i \(-0.859818\pi\)
0.368656 + 0.929566i \(0.379818\pi\)
\(30\) 2.12979 + 0.681166i 0.388845 + 0.124363i
\(31\) 7.86450 + 0.993518i 1.41251 + 0.178441i 0.794277 0.607556i \(-0.207850\pi\)
0.618230 + 0.785997i \(0.287850\pi\)
\(32\) 0.951057 0.309017i 0.168125 0.0546270i
\(33\) −0.907782 1.65125i −0.158025 0.287446i
\(34\) 0.334531 5.31721i 0.0573715 0.911894i
\(35\) 1.60657 8.63825i 0.271560 1.46013i
\(36\) 0.535827 0.844328i 0.0893045 0.140721i
\(37\) 2.55731 + 9.96008i 0.420420 + 1.63743i 0.727764 + 0.685828i \(0.240560\pi\)
−0.307344 + 0.951599i \(0.599440\pi\)
\(38\) 0.881029 2.22523i 0.142922 0.360979i
\(39\) 4.83377 + 1.24110i 0.774023 + 0.198735i
\(40\) 1.81506 + 1.30597i 0.286986 + 0.206492i
\(41\) −7.03341 2.78473i −1.09843 0.434901i −0.252180 0.967680i \(-0.581148\pi\)
−0.846254 + 0.532779i \(0.821148\pi\)
\(42\) −3.55541 1.67305i −0.548612 0.258157i
\(43\) −9.43647 3.06609i −1.43905 0.467575i −0.517447 0.855715i \(-0.673118\pi\)
−0.921600 + 0.388140i \(0.873118\pi\)
\(44\) −0.353088 1.85095i −0.0532300 0.279042i
\(45\) 2.23098 0.150697i 0.332575 0.0224645i
\(46\) 1.48679 + 3.15958i 0.219215 + 0.465855i
\(47\) −7.86249 1.49985i −1.14686 0.218776i −0.421293 0.906925i \(-0.638424\pi\)
−0.725570 + 0.688149i \(0.758424\pi\)
\(48\) 0.770513 0.637424i 0.111214 0.0920042i
\(49\) −2.60813 + 8.02699i −0.372589 + 1.14671i
\(50\) 0.0461273 + 4.99979i 0.00652339 + 0.707077i
\(51\) −1.64636 5.06697i −0.230536 0.709517i
\(52\) 4.21367 + 2.67408i 0.584331 + 0.370828i
\(53\) −4.73528 + 8.61344i −0.650440 + 1.18315i 0.321274 + 0.946986i \(0.395889\pi\)
−0.971714 + 0.236160i \(0.924111\pi\)
\(54\) 0.187381 0.982287i 0.0254994 0.133672i
\(55\) 2.87013 3.08477i 0.387009 0.415951i
\(56\) −2.86440 2.68985i −0.382771 0.359446i
\(57\) 2.39329i 0.316999i
\(58\) −2.71019 + 2.88606i −0.355866 + 0.378958i
\(59\) 5.29732 + 8.34724i 0.689652 + 1.08672i 0.991085 + 0.133230i \(0.0425350\pi\)
−0.301433 + 0.953487i \(0.597465\pi\)
\(60\) 2.16836 + 0.546091i 0.279934 + 0.0705001i
\(61\) 3.90842 1.54745i 0.500422 0.198131i −0.104333 0.994542i \(-0.533271\pi\)
0.604755 + 0.796411i \(0.293271\pi\)
\(62\) 7.91137 + 0.497741i 1.00474 + 0.0632132i
\(63\) −3.92163 0.246728i −0.494079 0.0310848i
\(64\) 0.929776 0.368125i 0.116222 0.0460156i
\(65\) 0.752060 + 11.1339i 0.0932816 + 1.38099i
\(66\) −1.00967 1.59099i −0.124282 0.195838i
\(67\) −1.55572 + 1.65667i −0.190061 + 0.202395i −0.816941 0.576721i \(-0.804332\pi\)
0.626880 + 0.779116i \(0.284332\pi\)
\(68\) 5.32773i 0.646082i
\(69\) 2.54550 + 2.39038i 0.306442 + 0.287768i
\(70\) 1.06100 8.72208i 0.126814 1.04249i
\(71\) 0.254905 1.33626i 0.0302517 0.158585i −0.963956 0.266062i \(-0.914277\pi\)
0.994208 + 0.107477i \(0.0342773\pi\)
\(72\) 0.481754 0.876307i 0.0567752 0.103274i
\(73\) −9.27611 5.88680i −1.08569 0.688998i −0.132440 0.991191i \(-0.542281\pi\)
−0.953247 + 0.302193i \(0.902281\pi\)
\(74\) 3.17767 + 9.77985i 0.369396 + 1.13688i
\(75\) 1.88343 + 4.63170i 0.217480 + 0.534823i
\(76\) 0.739568 2.27616i 0.0848342 0.261093i
\(77\) −5.70508 + 4.71965i −0.650154 + 0.537854i
\(78\) 4.90217 + 0.935138i 0.555061 + 0.105884i
\(79\) −7.17514 15.2480i −0.807267 1.71553i −0.691647 0.722235i \(-0.743115\pi\)
−0.115619 0.993294i \(-0.536885\pi\)
\(80\) 1.89348 + 1.18942i 0.211698 + 0.132982i
\(81\) −0.187381 0.982287i −0.0208201 0.109143i
\(82\) −7.19439 2.33760i −0.794487 0.258145i
\(83\) −0.980863 0.461559i −0.107664 0.0506627i 0.371193 0.928556i \(-0.378949\pi\)
−0.478857 + 0.877893i \(0.658949\pi\)
\(84\) −3.65345 1.44650i −0.398624 0.157826i
\(85\) 9.60554 7.04676i 1.04187 0.764329i
\(86\) −9.61037 2.46752i −1.03631 0.266080i
\(87\) −1.45744 + 3.68108i −0.156254 + 0.394653i
\(88\) −0.468614 1.82513i −0.0499544 0.194559i
\(89\) −4.97883 + 7.84539i −0.527755 + 0.831609i −0.998722 0.0505416i \(-0.983905\pi\)
0.470967 + 0.882151i \(0.343905\pi\)
\(90\) 2.21712 0.290484i 0.233705 0.0306197i
\(91\) 1.23131 19.5711i 0.129077 2.05161i
\(92\) 1.68224 + 3.05999i 0.175386 + 0.319026i
\(93\) 7.53903 2.44958i 0.781761 0.254010i
\(94\) −7.94116 1.00320i −0.819068 0.103472i
\(95\) 5.08196 1.67718i 0.521398 0.172075i
\(96\) 0.728969 0.684547i 0.0744000 0.0698663i
\(97\) −4.18460 4.45614i −0.424881 0.452453i 0.480536 0.876975i \(-0.340442\pi\)
−0.905418 + 0.424522i \(0.860442\pi\)
\(98\) −2.09896 + 8.17491i −0.212027 + 0.825791i
\(99\) −1.52445 1.10758i −0.153213 0.111316i
\(100\) 0.359976 + 4.98702i 0.0359976 + 0.498702i
\(101\) 5.30723 3.85593i 0.528090 0.383680i −0.291553 0.956555i \(-0.594172\pi\)
0.819643 + 0.572875i \(0.194172\pi\)
\(102\) −1.96127 4.95359i −0.194194 0.490479i
\(103\) −0.442604 3.50357i −0.0436111 0.345217i −0.998790 0.0491869i \(-0.984337\pi\)
0.955178 0.296030i \(-0.0956630\pi\)
\(104\) 4.37326 + 2.40422i 0.428834 + 0.235753i
\(105\) −2.22432 8.50016i −0.217071 0.829531i
\(106\) −4.18509 + 8.89377i −0.406492 + 0.863839i
\(107\) −4.45179 + 6.12737i −0.430371 + 0.592355i −0.968038 0.250802i \(-0.919306\pi\)
0.537667 + 0.843157i \(0.319306\pi\)
\(108\) 0.125333 0.992115i 0.0120602 0.0954663i
\(109\) −0.514515 + 0.132105i −0.0492816 + 0.0126534i −0.273250 0.961943i \(-0.588099\pi\)
0.223969 + 0.974596i \(0.428099\pi\)
\(110\) 2.67077 3.25890i 0.254648 0.310724i
\(111\) 6.55472 + 7.92330i 0.622147 + 0.752046i
\(112\) −3.02764 2.50468i −0.286085 0.236670i
\(113\) 9.76922 6.19973i 0.919011 0.583222i 0.00997947 0.999950i \(-0.496823\pi\)
0.909031 + 0.416728i \(0.136823\pi\)
\(114\) −0.150276 2.38857i −0.0140746 0.223710i
\(115\) −3.29193 + 7.08030i −0.306974 + 0.660241i
\(116\) −2.52363 + 3.05054i −0.234313 + 0.283236i
\(117\) 4.90217 0.935138i 0.453205 0.0864535i
\(118\) 5.81099 + 7.99814i 0.534945 + 0.736289i
\(119\) −18.3452 + 10.0854i −1.68170 + 0.924524i
\(120\) 2.19837 + 0.408861i 0.200683 + 0.0373237i
\(121\) 7.39056 0.933645i 0.671869 0.0848768i
\(122\) 3.80354 1.78981i 0.344357 0.162042i
\(123\) −7.54970 + 0.474987i −0.680734 + 0.0428281i
\(124\) 7.92701 0.711867
\(125\) −8.51516 + 7.24514i −0.761619 + 0.648025i
\(126\) −3.92939 −0.350058
\(127\) 13.6574 0.859249i 1.21190 0.0762460i 0.556055 0.831146i \(-0.312314\pi\)
0.655840 + 0.754900i \(0.272314\pi\)
\(128\) 0.904827 0.425779i 0.0799762 0.0376339i
\(129\) −9.84385 + 1.24357i −0.866703 + 0.109490i
\(130\) 1.44968 + 11.0647i 0.127145 + 0.970436i
\(131\) −14.5214 + 7.98321i −1.26874 + 0.697497i −0.966728 0.255807i \(-0.917659\pi\)
−0.302014 + 0.953304i \(0.597659\pi\)
\(132\) −1.10758 1.52445i −0.0964025 0.132687i
\(133\) −9.23759 + 1.76216i −0.801001 + 0.152799i
\(134\) −1.44863 + 1.75109i −0.125142 + 0.151271i
\(135\) 1.95449 1.08626i 0.168216 0.0934905i
\(136\) −0.334531 5.31721i −0.0286858 0.455947i
\(137\) 2.75514 1.74847i 0.235388 0.149382i −0.412902 0.910776i \(-0.635485\pi\)
0.648289 + 0.761394i \(0.275485\pi\)
\(138\) 2.69057 + 2.22583i 0.229036 + 0.189475i
\(139\) 13.0880 + 15.8207i 1.11011 + 1.34189i 0.933897 + 0.357543i \(0.116386\pi\)
0.176216 + 0.984352i \(0.443614\pi\)
\(140\) 0.511245 8.77149i 0.0432081 0.741326i
\(141\) −7.75280 + 1.99058i −0.652904 + 0.167637i
\(142\) 0.170498 1.34963i 0.0143079 0.113258i
\(143\) 5.52745 7.60788i 0.462229 0.636203i
\(144\) 0.425779 0.904827i 0.0354816 0.0754023i
\(145\) −8.83782 0.515112i −0.733941 0.0427777i
\(146\) −9.62744 5.29273i −0.796773 0.438030i
\(147\) 1.05782 + 8.37352i 0.0872477 + 0.690636i
\(148\) 3.78548 + 9.56102i 0.311164 + 0.785911i
\(149\) 2.83153 2.05723i 0.231968 0.168535i −0.465729 0.884927i \(-0.654208\pi\)
0.697698 + 0.716392i \(0.254208\pi\)
\(150\) 2.17054 + 4.50430i 0.177224 + 0.367775i
\(151\) −4.93170 3.58309i −0.401336 0.291588i 0.368749 0.929529i \(-0.379786\pi\)
−0.770085 + 0.637941i \(0.779786\pi\)
\(152\) 0.595187 2.31810i 0.0482761 0.188023i
\(153\) −3.64708 3.88374i −0.294849 0.313982i
\(154\) −5.39747 + 5.06856i −0.434941 + 0.408436i
\(155\) 10.4847 + 14.2919i 0.842153 + 1.14795i
\(156\) 4.95121 + 0.625483i 0.396414 + 0.0500787i
\(157\) −14.7319 + 4.78668i −1.17573 + 0.382019i −0.830780 0.556601i \(-0.812105\pi\)
−0.344953 + 0.938620i \(0.612105\pi\)
\(158\) −8.11841 14.7673i −0.645866 1.17483i
\(159\) −0.617184 + 9.80985i −0.0489458 + 0.777972i
\(160\) 1.96443 + 1.06818i 0.155302 + 0.0844473i
\(161\) 7.35213 11.5851i 0.579429 0.913034i
\(162\) −0.248690 0.968583i −0.0195389 0.0760991i
\(163\) −4.11272 + 10.3875i −0.322133 + 0.813615i 0.674991 + 0.737826i \(0.264147\pi\)
−0.997124 + 0.0757887i \(0.975853\pi\)
\(164\) −7.32697 1.88125i −0.572140 0.146901i
\(165\) 1.28354 4.01323i 0.0999235 0.312429i
\(166\) −1.00791 0.399059i −0.0782289 0.0309730i
\(167\) 2.47056 + 1.16256i 0.191178 + 0.0899614i 0.518986 0.854783i \(-0.326310\pi\)
−0.327808 + 0.944744i \(0.606310\pi\)
\(168\) −3.73707 1.21425i −0.288321 0.0936812i
\(169\) 2.23091 + 11.6948i 0.171608 + 0.899602i
\(170\) 9.14412 7.63599i 0.701322 0.585654i
\(171\) −1.01901 2.16551i −0.0779259 0.165601i
\(172\) −9.74634 1.85921i −0.743152 0.141764i
\(173\) −15.6839 + 12.9748i −1.19242 + 0.986457i −0.192435 + 0.981310i \(0.561638\pi\)
−0.999987 + 0.00514715i \(0.998362\pi\)
\(174\) −1.22343 + 3.76533i −0.0927480 + 0.285449i
\(175\) 16.4906 10.6799i 1.24657 0.807328i
\(176\) −0.582290 1.79210i −0.0438917 0.135085i
\(177\) 8.34724 + 5.29732i 0.627417 + 0.398171i
\(178\) −4.47639 + 8.14253i −0.335520 + 0.610308i
\(179\) −4.13585 + 21.6809i −0.309128 + 1.62050i 0.400756 + 0.916185i \(0.368748\pi\)
−0.709884 + 0.704319i \(0.751252\pi\)
\(180\) 2.19450 0.429125i 0.163569 0.0319851i
\(181\) 5.11435 + 4.80269i 0.380146 + 0.356981i 0.850941 0.525262i \(-0.176033\pi\)
−0.470794 + 0.882243i \(0.656033\pi\)
\(182\) 19.6098i 1.45358i
\(183\) 2.87757 3.06430i 0.212716 0.226520i
\(184\) 1.87106 + 2.94832i 0.137937 + 0.217353i
\(185\) −12.2310 + 19.4709i −0.899242 + 1.43153i
\(186\) 7.37035 2.91813i 0.540420 0.213967i
\(187\) −10.0194 0.630366i −0.732690 0.0460969i
\(188\) −7.98848 0.502592i −0.582620 0.0366553i
\(189\) −3.65345 + 1.44650i −0.265749 + 0.105218i
\(190\) 4.96662 1.99297i 0.360316 0.144585i
\(191\) −8.52308 13.4302i −0.616709 0.971778i −0.998863 0.0476788i \(-0.984818\pi\)
0.382154 0.924099i \(-0.375182\pi\)
\(192\) 0.684547 0.728969i 0.0494029 0.0526088i
\(193\) 9.42537i 0.678453i −0.940705 0.339227i \(-0.889835\pi\)
0.940705 0.339227i \(-0.110165\pi\)
\(194\) −4.45614 4.18460i −0.319932 0.300436i
\(195\) 5.42105 + 9.75401i 0.388210 + 0.698499i
\(196\) −1.58151 + 8.29058i −0.112965 + 0.592184i
\(197\) −1.45308 + 2.64315i −0.103528 + 0.188316i −0.922997 0.384806i \(-0.874268\pi\)
0.819470 + 0.573123i \(0.194268\pi\)
\(198\) −1.59099 1.00967i −0.113067 0.0717544i
\(199\) −3.57505 11.0029i −0.253429 0.779974i −0.994135 0.108145i \(-0.965509\pi\)
0.740706 0.671829i \(-0.234491\pi\)
\(200\) 0.672403 + 4.95458i 0.0475461 + 0.350342i
\(201\) −0.702280 + 2.16139i −0.0495350 + 0.152453i
\(202\) 5.05465 4.18157i 0.355644 0.294214i
\(203\) 15.2813 + 2.91506i 1.07254 + 0.204597i
\(204\) −2.26844 4.82067i −0.158822 0.337514i
\(205\) −6.29931 15.6983i −0.439963 1.09642i
\(206\) −0.661722 3.46887i −0.0461044 0.241688i
\(207\) 3.32101 + 1.07906i 0.230826 + 0.0750000i
\(208\) 4.51560 + 2.12488i 0.313100 + 0.147334i
\(209\) −4.19306 1.66015i −0.290040 0.114835i
\(210\) −2.75366 8.34372i −0.190020 0.575772i
\(211\) 25.3197 + 6.50099i 1.74308 + 0.447547i 0.980039 0.198803i \(-0.0637055\pi\)
0.763041 + 0.646350i \(0.223706\pi\)
\(212\) −3.61839 + 9.13900i −0.248512 + 0.627669i
\(213\) −0.338307 1.31762i −0.0231804 0.0902817i
\(214\) −4.05827 + 6.39481i −0.277417 + 0.437140i
\(215\) −9.53904 20.0311i −0.650557 1.36611i
\(216\) 0.0627905 0.998027i 0.00427235 0.0679071i
\(217\) −15.0058 27.2954i −1.01866 1.85294i
\(218\) −0.505205 + 0.164151i −0.0342168 + 0.0111177i
\(219\) −10.8998 1.37696i −0.736537 0.0930463i
\(220\) 2.46088 3.42017i 0.165912 0.230588i
\(221\) 19.3821 18.2010i 1.30378 1.22433i
\(222\) 7.03929 + 7.49609i 0.472447 + 0.503104i
\(223\) 0.828628 3.22729i 0.0554891 0.216116i −0.934792 0.355195i \(-0.884414\pi\)
0.990281 + 0.139080i \(0.0444144\pi\)
\(224\) −3.17894 2.30964i −0.212402 0.154319i
\(225\) 3.67626 + 3.38896i 0.245084 + 0.225931i
\(226\) 9.36065 6.80091i 0.622661 0.452390i
\(227\) −1.40851 3.55749i −0.0934862 0.236119i 0.875508 0.483204i \(-0.160527\pi\)
−0.968994 + 0.247085i \(0.920527\pi\)
\(228\) −0.299959 2.37442i −0.0198653 0.157250i
\(229\) 25.7054 + 14.1317i 1.69866 + 0.933847i 0.967944 + 0.251167i \(0.0808144\pi\)
0.730718 + 0.682680i \(0.239186\pi\)
\(230\) −2.84086 + 7.27303i −0.187321 + 0.479569i
\(231\) −3.15258 + 6.69957i −0.207424 + 0.440799i
\(232\) −2.32710 + 3.20298i −0.152782 + 0.210286i
\(233\) −2.68565 + 21.2591i −0.175943 + 1.39273i 0.618687 + 0.785638i \(0.287665\pi\)
−0.794630 + 0.607094i \(0.792335\pi\)
\(234\) 4.83377 1.24110i 0.315994 0.0811334i
\(235\) −9.65988 15.0675i −0.630141 0.982893i
\(236\) 6.30173 + 7.61749i 0.410208 + 0.495856i
\(237\) −12.9845 10.7417i −0.843436 0.697751i
\(238\) −17.6757 + 11.2174i −1.14575 + 0.727114i
\(239\) −0.267702 4.25500i −0.0173162 0.275233i −0.997151 0.0754257i \(-0.975968\pi\)
0.979835 0.199807i \(-0.0640316\pi\)
\(240\) 2.21971 + 0.270017i 0.143281 + 0.0174296i
\(241\) 4.36025 5.27063i 0.280868 0.339511i −0.611147 0.791517i \(-0.709291\pi\)
0.892015 + 0.452006i \(0.149291\pi\)
\(242\) 7.31736 1.39586i 0.470377 0.0897293i
\(243\) −0.587785 0.809017i −0.0377064 0.0518985i
\(244\) 3.68365 2.02511i 0.235822 0.129644i
\(245\) −17.0392 + 8.11424i −1.08859 + 0.518400i
\(246\) −7.50498 + 0.948099i −0.478500 + 0.0604486i
\(247\) 10.8071 5.08545i 0.687642 0.323580i
\(248\) 7.91137 0.497741i 0.502372 0.0316066i
\(249\) −1.08403 −0.0686978
\(250\) −8.04343 + 7.76552i −0.508711 + 0.491134i
\(251\) −0.184467 −0.0116435 −0.00582173 0.999983i \(-0.501853\pi\)
−0.00582173 + 0.999983i \(0.501853\pi\)
\(252\) −3.92163 + 0.246728i −0.247040 + 0.0155424i
\(253\) 5.95369 2.80159i 0.374305 0.176135i
\(254\) 13.5765 1.71511i 0.851863 0.107615i
\(255\) 5.69099 10.4659i 0.356384 0.655403i
\(256\) 0.876307 0.481754i 0.0547692 0.0301096i
\(257\) −8.54356 11.7592i −0.532933 0.733519i 0.454641 0.890675i \(-0.349768\pi\)
−0.987574 + 0.157156i \(0.949768\pi\)
\(258\) −9.74634 + 1.85921i −0.606781 + 0.115750i
\(259\) 25.7560 31.1337i 1.60040 1.93455i
\(260\) 2.14157 + 10.9518i 0.132815 + 0.679203i
\(261\) 0.248594 + 3.95129i 0.0153876 + 0.244579i
\(262\) −13.9915 + 8.87927i −0.864397 + 0.548563i
\(263\) −17.2894 14.3030i −1.06611 0.881962i −0.0727885 0.997347i \(-0.523190\pi\)
−0.993321 + 0.115385i \(0.963190\pi\)
\(264\) −1.20112 1.45190i −0.0739236 0.0893583i
\(265\) −21.2629 + 5.56406i −1.30617 + 0.341798i
\(266\) −9.10872 + 2.33872i −0.558491 + 0.143396i
\(267\) −1.16458 + 9.21860i −0.0712712 + 0.564169i
\(268\) −1.33582 + 1.83859i −0.0815979 + 0.112310i
\(269\) 3.29257 6.99706i 0.200751 0.426619i −0.778949 0.627088i \(-0.784247\pi\)
0.979700 + 0.200469i \(0.0642467\pi\)
\(270\) 1.88243 1.20684i 0.114561 0.0734460i
\(271\) 4.90342 + 2.69568i 0.297862 + 0.163751i 0.623676 0.781683i \(-0.285638\pi\)
−0.325814 + 0.945434i \(0.605638\pi\)
\(272\) −0.667741 5.28571i −0.0404878 0.320494i
\(273\) −7.21886 18.2328i −0.436906 1.10350i
\(274\) 2.63992 1.91801i 0.159483 0.115871i
\(275\) 9.42124 0.0869191i 0.568122 0.00524142i
\(276\) 2.82502 + 2.05250i 0.170046 + 0.123546i
\(277\) 3.24819 12.6509i 0.195165 0.760117i −0.793321 0.608804i \(-0.791650\pi\)
0.988486 0.151313i \(-0.0483502\pi\)
\(278\) 14.0556 + 14.9677i 0.842998 + 0.897702i
\(279\) 5.77854 5.42641i 0.345952 0.324871i
\(280\) −0.0405296 8.78628i −0.00242211 0.525081i
\(281\) 15.4378 + 1.95025i 0.920941 + 0.116342i 0.571487 0.820611i \(-0.306367\pi\)
0.349455 + 0.936953i \(0.386367\pi\)
\(282\) −7.61251 + 2.47346i −0.453319 + 0.147292i
\(283\) −1.62103 2.94865i −0.0963605 0.175279i 0.823733 0.566978i \(-0.191888\pi\)
−0.920093 + 0.391699i \(0.871888\pi\)
\(284\) 0.0854175 1.35767i 0.00506860 0.0805630i
\(285\) 3.88418 3.68135i 0.230079 0.218065i
\(286\) 5.03884 7.93994i 0.297953 0.469499i
\(287\) 7.39214 + 28.7905i 0.436344 + 1.69945i
\(288\) 0.368125 0.929776i 0.0216919 0.0547876i
\(289\) −11.0270 2.83125i −0.648647 0.166544i
\(290\) −8.85273 + 0.0408361i −0.519850 + 0.00239798i
\(291\) −5.68367 2.25032i −0.333183 0.131916i
\(292\) −9.94078 4.67778i −0.581740 0.273746i
\(293\) −2.29919 0.747051i −0.134320 0.0436432i 0.241086 0.970504i \(-0.422497\pi\)
−0.375405 + 0.926861i \(0.622497\pi\)
\(294\) 1.58151 + 8.29058i 0.0922357 + 0.483516i
\(295\) −5.39879 + 21.4369i −0.314330 + 1.24811i
\(296\) 4.37835 + 9.30446i 0.254486 + 0.540811i
\(297\) −1.85095 0.353088i −0.107403 0.0204882i
\(298\) 2.69677 2.23096i 0.156220 0.129236i
\(299\) −5.38512 + 16.5737i −0.311430 + 0.958482i
\(300\) 2.44909 + 4.35912i 0.141398 + 0.251674i
\(301\) 12.0479 + 37.0795i 0.694427 + 2.13723i
\(302\) −5.14696 3.26636i −0.296174 0.187958i
\(303\) 3.16035 5.74866i 0.181558 0.330252i
\(304\) 0.448458 2.35090i 0.0257208 0.134833i
\(305\) 8.52335 + 3.96287i 0.488046 + 0.226913i
\(306\) −3.88374 3.64708i −0.222019 0.208490i
\(307\) 15.3046i 0.873480i 0.899588 + 0.436740i \(0.143867\pi\)
−0.899588 + 0.436740i \(0.856133\pi\)
\(308\) −5.06856 + 5.39747i −0.288808 + 0.307549i
\(309\) −1.89223 2.98168i −0.107645 0.169622i
\(310\) 11.3614 + 13.6053i 0.645286 + 0.772731i
\(311\) 28.5818 11.3163i 1.62072 0.641690i 0.629878 0.776694i \(-0.283105\pi\)
0.990845 + 0.135004i \(0.0431047\pi\)
\(312\) 4.98071 + 0.313360i 0.281977 + 0.0177405i
\(313\) 18.8640 + 1.18682i 1.06626 + 0.0670831i 0.586209 0.810160i \(-0.300620\pi\)
0.480047 + 0.877243i \(0.340620\pi\)
\(314\) −14.4023 + 5.70226i −0.812767 + 0.321797i
\(315\) −5.63181 6.74411i −0.317317 0.379988i
\(316\) −9.02964 14.2284i −0.507957 0.800412i
\(317\) 7.62468 8.11946i 0.428245 0.456034i −0.478267 0.878214i \(-0.658735\pi\)
0.906512 + 0.422180i \(0.138735\pi\)
\(318\) 9.82925i 0.551197i
\(319\) 5.43829 + 5.10689i 0.304486 + 0.285931i
\(320\) 2.02762 + 0.942728i 0.113348 + 0.0527001i
\(321\) −1.41920 + 7.43969i −0.0792118 + 0.415243i
\(322\) 6.61019 12.0239i 0.368371 0.670065i
\(323\) −10.7659 6.83222i −0.599028 0.380155i
\(324\) −0.309017 0.951057i −0.0171676 0.0528365i
\(325\) −16.9128 + 18.3466i −0.938155 + 1.01769i
\(326\) −3.45236 + 10.6253i −0.191209 + 0.588480i
\(327\) −0.409300 + 0.338602i −0.0226343 + 0.0187247i
\(328\) −7.43064 1.41747i −0.410288 0.0782667i
\(329\) 13.3916 + 28.4585i 0.738300 + 1.56897i
\(330\) 1.02902 4.08590i 0.0566454 0.224922i
\(331\) −5.18678 27.1901i −0.285091 1.49450i −0.780123 0.625626i \(-0.784844\pi\)
0.495032 0.868875i \(-0.335156\pi\)
\(332\) −1.03098 0.334985i −0.0565822 0.0183847i
\(333\) 9.30446 + 4.37835i 0.509882 + 0.239932i
\(334\) 2.53868 + 1.00514i 0.138911 + 0.0549986i
\(335\) −5.08169 + 0.0234410i −0.277642 + 0.00128072i
\(336\) −3.80594 0.977199i −0.207631 0.0533106i
\(337\) 9.55438 24.1316i 0.520460 1.31453i −0.397406 0.917643i \(-0.630090\pi\)
0.917866 0.396889i \(-0.129910\pi\)
\(338\) 2.96083 + 11.5317i 0.161048 + 0.627240i
\(339\) 6.19973 9.76922i 0.336723 0.530591i
\(340\) 8.64661 8.19509i 0.468928 0.444441i
\(341\) 0.937908 14.9076i 0.0507906 0.807293i
\(342\) −1.15298 2.09726i −0.0623459 0.113407i
\(343\) 5.38165 1.74860i 0.290582 0.0944158i
\(344\) −9.84385 1.24357i −0.530745 0.0670487i
\(345\) 0.0360174 + 7.80808i 0.00193911 + 0.420373i
\(346\) −14.8382 + 13.9340i −0.797707 + 0.749097i
\(347\) −17.4974 18.6328i −0.939308 1.00026i −0.999998 0.00210508i \(-0.999330\pi\)
0.0606895 0.998157i \(-0.480670\pi\)
\(348\) −0.984589 + 3.83472i −0.0527795 + 0.205563i
\(349\) 15.4476 + 11.2233i 0.826891 + 0.600772i 0.918678 0.395007i \(-0.129258\pi\)
−0.0917869 + 0.995779i \(0.529258\pi\)
\(350\) 15.7875 11.6943i 0.843877 0.625088i
\(351\) 4.03745 2.93338i 0.215503 0.156572i
\(352\) −0.693668 1.75200i −0.0369726 0.0933822i
\(353\) 1.47772 + 11.6973i 0.0786509 + 0.622586i 0.981338 + 0.192289i \(0.0615911\pi\)
−0.902688 + 0.430297i \(0.858409\pi\)
\(354\) 8.66339 + 4.76274i 0.460454 + 0.253137i
\(355\) 2.56077 1.64173i 0.135912 0.0871342i
\(356\) −3.95629 + 8.40754i −0.209683 + 0.445599i
\(357\) −12.3051 + 16.9365i −0.651255 + 0.896376i
\(358\) −2.76633 + 21.8978i −0.146205 + 1.15733i
\(359\) 1.06459 0.273341i 0.0561871 0.0144264i −0.220492 0.975389i \(-0.570766\pi\)
0.276679 + 0.960962i \(0.410766\pi\)
\(360\) 2.16323 0.566072i 0.114012 0.0298346i
\(361\) 8.45999 + 10.2264i 0.445263 + 0.538230i
\(362\) 5.40582 + 4.47208i 0.284123 + 0.235047i
\(363\) 6.28966 3.99154i 0.330121 0.209501i
\(364\) −1.23131 19.5711i −0.0645383 1.02581i
\(365\) −4.71453 24.1097i −0.246770 1.26196i
\(366\) 2.67948 3.23894i 0.140059 0.169302i
\(367\) 8.32009 1.58714i 0.434305 0.0828482i 0.0344075 0.999408i \(-0.489046\pi\)
0.399898 + 0.916560i \(0.369046\pi\)
\(368\) 2.05250 + 2.82502i 0.106994 + 0.147264i
\(369\) −6.62893 + 3.64429i −0.345089 + 0.189714i
\(370\) −10.9843 + 20.2005i −0.571046 + 1.05017i
\(371\) 38.3184 4.84073i 1.98939 0.251318i
\(372\) 7.17257 3.37516i 0.371881 0.174994i
\(373\) −28.7295 + 1.80751i −1.48756 + 0.0935892i −0.785647 0.618675i \(-0.787670\pi\)
−0.701911 + 0.712264i \(0.747670\pi\)
\(374\) −10.0392 −0.519114
\(375\) −4.61991 + 10.1812i −0.238571 + 0.525754i
\(376\) −8.00427 −0.412789
\(377\) −19.7192 + 1.24062i −1.01559 + 0.0638954i
\(378\) −3.55541 + 1.67305i −0.182871 + 0.0860525i
\(379\) 13.8695 1.75213i 0.712430 0.0900009i 0.239239 0.970961i \(-0.423102\pi\)
0.473191 + 0.880960i \(0.343102\pi\)
\(380\) 4.83168 2.30090i 0.247860 0.118033i
\(381\) 11.9917 6.59249i 0.614354 0.337744i
\(382\) −9.34956 12.8686i −0.478365 0.658413i
\(383\) 3.89809 0.743601i 0.199183 0.0379962i −0.0868241 0.996224i \(-0.527672\pi\)
0.286007 + 0.958227i \(0.407672\pi\)
\(384\) 0.637424 0.770513i 0.0325284 0.0393201i
\(385\) −16.4353 1.99928i −0.837619 0.101893i
\(386\) −0.591824 9.40678i −0.0301231 0.478792i
\(387\) −8.37750 + 5.31652i −0.425852 + 0.270254i
\(388\) −4.71010 3.89653i −0.239119 0.197817i
\(389\) 18.3957 + 22.2365i 0.932697 + 1.12744i 0.991622 + 0.129175i \(0.0412328\pi\)
−0.0589247 + 0.998262i \(0.518767\pi\)
\(390\) 6.02282 + 9.39437i 0.304977 + 0.475703i
\(391\) 18.0195 4.62662i 0.911285 0.233978i
\(392\) −1.05782 + 8.37352i −0.0534281 + 0.422927i
\(393\) −9.74028 + 13.4063i −0.491332 + 0.676261i
\(394\) −1.28425 + 2.72917i −0.0646996 + 0.137494i
\(395\) 13.7098 35.0992i 0.689816 1.76603i
\(396\) −1.65125 0.907782i −0.0829784 0.0456178i
\(397\) −2.79159 22.0977i −0.140106 1.10905i −0.892726 0.450599i \(-0.851210\pi\)
0.752620 0.658455i \(-0.228790\pi\)
\(398\) −4.25887 10.7567i −0.213478 0.539184i
\(399\) −7.60813 + 5.52763i −0.380883 + 0.276728i
\(400\) 0.982177 + 4.90258i 0.0491088 + 0.245129i
\(401\) −29.2510 21.2521i −1.46073 1.06128i −0.983173 0.182676i \(-0.941524\pi\)
−0.477552 0.878603i \(-0.658476\pi\)
\(402\) −0.565179 + 2.20123i −0.0281886 + 0.109787i
\(403\) 27.0808 + 28.8382i 1.34899 + 1.43653i
\(404\) 4.78211 4.49070i 0.237919 0.223421i
\(405\) 1.30597 1.81506i 0.0648941 0.0901911i
\(406\) 15.4342 + 1.94979i 0.765985 + 0.0967664i
\(407\) 18.4285 5.98777i 0.913464 0.296803i
\(408\) −2.56665 4.66872i −0.127068 0.231136i
\(409\) 0.164150 2.60908i 0.00811667 0.129011i −0.991882 0.127165i \(-0.959412\pi\)
0.999998 0.00184619i \(-0.000587660\pi\)
\(410\) −7.27259 15.2718i −0.359168 0.754220i
\(411\) 1.74847 2.75514i 0.0862455 0.135901i
\(412\) −0.878228 3.42047i −0.0432672 0.168515i
\(413\) 14.3005 36.1189i 0.703681 1.77730i
\(414\) 3.38221 + 0.868405i 0.166227 + 0.0426798i
\(415\) −0.759675 2.30186i −0.0372910 0.112994i
\(416\) 4.64011 + 1.83715i 0.227500 + 0.0900736i
\(417\) 18.5785 + 8.74239i 0.909795 + 0.428117i
\(418\) −4.28903 1.39359i −0.209783 0.0681627i
\(419\) −3.67363 19.2578i −0.179468 0.940807i −0.952062 0.305906i \(-0.901041\pi\)
0.772593 0.634901i \(-0.218959\pi\)
\(420\) −3.27213 8.15436i −0.159664 0.397892i
\(421\) −2.66786 5.66949i −0.130024 0.276314i 0.829206 0.558944i \(-0.188793\pi\)
−0.959229 + 0.282630i \(0.908793\pi\)
\(422\) 25.6779 + 4.89833i 1.24998 + 0.238447i
\(423\) −6.16740 + 5.10211i −0.299869 + 0.248073i
\(424\) −3.03740 + 9.34817i −0.147509 + 0.453987i
\(425\) 26.2117 + 4.74997i 1.27146 + 0.230407i
\(426\) −0.420373 1.29378i −0.0203672 0.0626836i
\(427\) −13.9463 8.85058i −0.674908 0.428310i
\(428\) −3.64873 + 6.63701i −0.176368 + 0.320812i
\(429\) 1.76211 9.23729i 0.0850754 0.445981i
\(430\) −10.7780 19.3926i −0.519760 0.935196i
\(431\) 2.04004 + 1.91573i 0.0982653 + 0.0922773i 0.732123 0.681172i \(-0.238530\pi\)
−0.633858 + 0.773450i \(0.718530\pi\)
\(432\) 1.00000i 0.0481125i
\(433\) 18.5694 19.7744i 0.892389 0.950298i −0.106642 0.994297i \(-0.534010\pi\)
0.999032 + 0.0439995i \(0.0140100\pi\)
\(434\) −16.6901 26.2994i −0.801150 1.26241i
\(435\) −8.21603 + 3.29688i −0.393928 + 0.158073i
\(436\) −0.493901 + 0.195549i −0.0236536 + 0.00936511i
\(437\) 8.34069 + 0.524751i 0.398989 + 0.0251023i
\(438\) −10.9647 0.689841i −0.523914 0.0329619i
\(439\) 10.7172 4.24323i 0.511503 0.202518i −0.0981725 0.995169i \(-0.531300\pi\)
0.609676 + 0.792651i \(0.291300\pi\)
\(440\) 2.24127 3.56794i 0.106848 0.170095i
\(441\) 4.52242 + 7.12619i 0.215353 + 0.339342i
\(442\) 18.2010 19.3821i 0.865732 0.921911i
\(443\) 17.9297i 0.851867i −0.904754 0.425933i \(-0.859946\pi\)
0.904754 0.425933i \(-0.140054\pi\)
\(444\) 7.49609 + 7.03929i 0.355749 + 0.334070i
\(445\) −20.3911 + 3.98737i −0.966629 + 0.189020i
\(446\) 0.624350 3.27296i 0.0295638 0.154979i
\(447\) 1.68612 3.06705i 0.0797509 0.145066i
\(448\) −3.31769 2.10547i −0.156746 0.0994741i
\(449\) −0.0786494 0.242058i −0.00371169 0.0114234i 0.949184 0.314723i \(-0.101912\pi\)
−0.952895 + 0.303300i \(0.901912\pi\)
\(450\) 3.88180 + 3.15144i 0.182990 + 0.148560i
\(451\) −4.40481 + 13.5566i −0.207414 + 0.638355i
\(452\) 8.91515 7.37525i 0.419333 0.346903i
\(453\) −5.98795 1.14226i −0.281338 0.0536681i
\(454\) −1.62911 3.46203i −0.0764578 0.162481i
\(455\) 33.6569 28.1059i 1.57786 1.31763i
\(456\) −0.448458 2.35090i −0.0210010 0.110091i
\(457\) −24.9344 8.10169i −1.16638 0.378981i −0.339092 0.940753i \(-0.610120\pi\)
−0.827292 + 0.561772i \(0.810120\pi\)
\(458\) 26.5420 + 12.4897i 1.24023 + 0.583607i
\(459\) −4.95359 1.96127i −0.231214 0.0915441i
\(460\) −2.37858 + 7.43706i −0.110902 + 0.346755i
\(461\) −17.7976 4.56965i −0.828917 0.212830i −0.189687 0.981845i \(-0.560747\pi\)
−0.639231 + 0.769015i \(0.720747\pi\)
\(462\) −2.72569 + 6.88430i −0.126811 + 0.320287i
\(463\) −7.19326 28.0159i −0.334299 1.30201i −0.884329 0.466865i \(-0.845384\pi\)
0.550029 0.835145i \(-0.314616\pi\)
\(464\) −2.12139 + 3.34278i −0.0984832 + 0.155185i
\(465\) 15.5721 + 8.46750i 0.722137 + 0.392671i
\(466\) −1.34548 + 21.3858i −0.0623282 + 0.990679i
\(467\) 17.0754 + 31.0600i 0.790153 + 1.43728i 0.896542 + 0.442959i \(0.146071\pi\)
−0.106389 + 0.994325i \(0.533929\pi\)
\(468\) 4.74631 1.54217i 0.219398 0.0712868i
\(469\) 8.85960 + 1.11923i 0.409098 + 0.0516811i
\(470\) −10.5869 14.4312i −0.488338 0.665661i
\(471\) −11.2917 + 10.6037i −0.520296 + 0.488591i
\(472\) 6.76760 + 7.20677i 0.311504 + 0.331718i
\(473\) −4.64963 + 18.1091i −0.213790 + 0.832657i
\(474\) −13.6334 9.90523i −0.626202 0.454962i
\(475\) 10.5390 + 5.66790i 0.483564 + 0.260061i
\(476\) −16.9365 + 12.3051i −0.776284 + 0.564003i
\(477\) 3.61839 + 9.13900i 0.165675 + 0.418446i
\(478\) −0.534347 4.22979i −0.0244405 0.193466i
\(479\) 19.4826 + 10.7106i 0.890182 + 0.489381i 0.860076 0.510165i \(-0.170416\pi\)
0.0301052 + 0.999547i \(0.490416\pi\)
\(480\) 2.23228 + 0.130108i 0.101889 + 0.00593860i
\(481\) −21.8504 + 46.4345i −0.996293 + 2.11723i
\(482\) 4.02070 5.53401i 0.183138 0.252067i
\(483\) 1.71971 13.6129i 0.0782495 0.619408i
\(484\) 7.21527 1.85257i 0.327967 0.0842076i
\(485\) 0.795344 13.6458i 0.0361147 0.619623i
\(486\) −0.637424 0.770513i −0.0289141 0.0349512i
\(487\) 1.84835 + 1.52909i 0.0837566 + 0.0692895i 0.678360 0.734730i \(-0.262691\pi\)
−0.594603 + 0.804019i \(0.702691\pi\)
\(488\) 3.54923 2.25241i 0.160666 0.101962i
\(489\) 0.701501 + 11.1500i 0.0317230 + 0.504222i
\(490\) −16.4961 + 9.16812i −0.745216 + 0.414174i
\(491\) −24.2245 + 29.2824i −1.09324 + 1.32150i −0.150259 + 0.988647i \(0.548011\pi\)
−0.942979 + 0.332852i \(0.891989\pi\)
\(492\) −7.43064 + 1.41747i −0.334999 + 0.0639045i
\(493\) 12.3982 + 17.0646i 0.558385 + 0.768551i
\(494\) 10.4665 5.75400i 0.470910 0.258885i
\(495\) −0.547367 4.17778i −0.0246023 0.187777i
\(496\) 7.86450 0.993518i 0.353127 0.0446103i
\(497\) −4.83663 + 2.27595i −0.216953 + 0.102090i
\(498\) −1.08189 + 0.0680670i −0.0484808 + 0.00305016i
\(499\) −25.6747 −1.14936 −0.574678 0.818379i \(-0.694873\pi\)
−0.574678 + 0.818379i \(0.694873\pi\)
\(500\) −7.53996 + 8.25524i −0.337197 + 0.369186i
\(501\) 2.73042 0.121986
\(502\) −0.184103 + 0.0115828i −0.00821692 + 0.000516965i
\(503\) −4.92853 + 2.31919i −0.219752 + 0.103408i −0.532505 0.846427i \(-0.678749\pi\)
0.312752 + 0.949835i \(0.398749\pi\)
\(504\) −3.89840 + 0.492483i −0.173649 + 0.0219369i
\(505\) 14.4215 + 2.68217i 0.641750 + 0.119355i
\(506\) 5.76603 3.16990i 0.256331 0.140919i
\(507\) 6.99800 + 9.63192i 0.310792 + 0.427769i
\(508\) 13.4420 2.56419i 0.596391 0.113768i
\(509\) 11.6256 14.0530i 0.515296 0.622886i −0.447117 0.894475i \(-0.647549\pi\)
0.962413 + 0.271589i \(0.0875492\pi\)
\(510\) 5.02260 10.8026i 0.222404 0.478348i
\(511\) 2.71065 + 43.0846i 0.119912 + 1.90595i
\(512\) 0.844328 0.535827i 0.0373144 0.0236804i
\(513\) −1.84406 1.52554i −0.0814174 0.0673543i
\(514\) −9.26507 11.1995i −0.408665 0.493991i
\(515\) 5.00530 6.10751i 0.220560 0.269129i
\(516\) −9.61037 + 2.46752i −0.423073 + 0.108627i
\(517\) −1.89036 + 14.9638i −0.0831380 + 0.658105i
\(518\) 23.7503 32.6895i 1.04353 1.43629i
\(519\) −8.66677 + 18.4178i −0.380429 + 0.808453i
\(520\) 2.82502 + 10.7957i 0.123885 + 0.473424i
\(521\) −21.6102 11.8803i −0.946761 0.520486i −0.0679672 0.997688i \(-0.521651\pi\)
−0.878794 + 0.477201i \(0.841651\pi\)
\(522\) 0.496207 + 3.92788i 0.0217184 + 0.171919i
\(523\) −11.2126 28.3199i −0.490294 1.23834i −0.938769 0.344546i \(-0.888033\pi\)
0.448475 0.893795i \(-0.351967\pi\)
\(524\) −13.4063 + 9.74028i −0.585659 + 0.425506i
\(525\) 10.3739 16.6849i 0.452753 0.728187i
\(526\) −18.1534 13.1892i −0.791524 0.575076i
\(527\) 10.5029 40.9061i 0.457514 1.78190i
\(528\) −1.28991 1.37362i −0.0561362 0.0597790i
\(529\) 7.87761 7.39757i 0.342505 0.321633i
\(530\) −20.8716 + 6.88819i −0.906604 + 0.299204i
\(531\) 9.80829 + 1.23908i 0.425644 + 0.0537713i
\(532\) −8.94389 + 2.90605i −0.387767 + 0.125993i
\(533\) −18.1870 33.0821i −0.787768 1.43294i
\(534\) −0.583442 + 9.27354i −0.0252480 + 0.401305i
\(535\) −16.7921 + 2.20008i −0.725986 + 0.0951177i
\(536\) −1.21773 + 1.91884i −0.0525981 + 0.0828813i
\(537\) 5.48904 + 21.3784i 0.236869 + 0.922546i
\(538\) 2.84672 7.19000i 0.122731 0.309983i
\(539\) 15.4042 + 3.95513i 0.663507 + 0.170360i
\(540\) 1.80294 1.32266i 0.0775860 0.0569182i
\(541\) 12.0481 + 4.77016i 0.517987 + 0.205085i 0.612548 0.790434i \(-0.290145\pi\)
−0.0945610 + 0.995519i \(0.530145\pi\)
\(542\) 5.06301 + 2.38247i 0.217475 + 0.102336i
\(543\) 6.67249 + 2.16802i 0.286344 + 0.0930387i
\(544\) −0.998316 5.23336i −0.0428025 0.224378i
\(545\) −1.00582 0.631827i −0.0430848 0.0270645i
\(546\) −8.34946 17.7435i −0.357324 0.759352i
\(547\) 36.4757 + 6.95811i 1.55959 + 0.297507i 0.893742 0.448582i \(-0.148071\pi\)
0.665846 + 0.746089i \(0.268071\pi\)
\(548\) 2.51428 2.07999i 0.107405 0.0888528i
\(549\) 1.29899 3.99787i 0.0554395 0.170625i
\(550\) 9.39720 0.678312i 0.400698 0.0289233i
\(551\) 2.92802 + 9.01153i 0.124738 + 0.383904i
\(552\) 2.94832 + 1.87106i 0.125489 + 0.0796377i
\(553\) −31.9004 + 58.0266i −1.35654 + 2.46754i
\(554\) 2.44743 12.8299i 0.103981 0.545088i
\(555\) −2.77663 + 22.8255i −0.117861 + 0.968890i
\(556\) 14.9677 + 14.0556i 0.634771 + 0.596090i
\(557\) 11.2017i 0.474630i −0.971433 0.237315i \(-0.923733\pi\)
0.971433 0.237315i \(-0.0762674\pi\)
\(558\) 5.42641 5.77854i 0.229718 0.244625i
\(559\) −26.5324 41.8084i −1.12220 1.76831i
\(560\) −0.592145 8.76640i −0.0250227 0.370448i
\(561\) −9.33420 + 3.69567i −0.394090 + 0.156031i
\(562\) 15.5298 + 0.977051i 0.655084 + 0.0412144i
\(563\) 11.6448 + 0.732627i 0.490768 + 0.0308765i 0.306247 0.951952i \(-0.400927\pi\)
0.184521 + 0.982829i \(0.440927\pi\)
\(564\) −7.44218 + 2.94657i −0.313372 + 0.124073i
\(565\) 25.0888 + 6.31850i 1.05549 + 0.265821i
\(566\) −1.80298 2.84105i −0.0757850 0.119418i
\(567\) −2.68985 + 2.86440i −0.112963 + 0.120293i
\(568\) 1.36036i 0.0570793i
\(569\) 2.32424 + 2.18260i 0.0974370 + 0.0914995i 0.731735 0.681589i \(-0.238711\pi\)
−0.634298 + 0.773089i \(0.718711\pi\)
\(570\) 3.64536 3.91798i 0.152687 0.164106i
\(571\) 1.41176 7.40071i 0.0590803 0.309710i −0.940464 0.339893i \(-0.889609\pi\)
0.999544 + 0.0301832i \(0.00960906\pi\)
\(572\) 4.53034 8.24067i 0.189423 0.344560i
\(573\) −13.4302 8.52308i −0.561056 0.356057i
\(574\) 9.18533 + 28.2695i 0.383388 + 1.17995i
\(575\) −16.5546 + 5.54827i −0.690373 + 0.231379i
\(576\) 0.309017 0.951057i 0.0128757 0.0396274i
\(577\) −4.99909 + 4.13561i −0.208115 + 0.172168i −0.735642 0.677371i \(-0.763119\pi\)
0.527527 + 0.849538i \(0.323119\pi\)
\(578\) −11.1830 2.13327i −0.465152 0.0887324i
\(579\) −4.01313 8.52833i −0.166780 0.354425i
\(580\) −8.83270 + 0.596623i −0.366758 + 0.0247734i
\(581\) 0.798167 + 4.18414i 0.0331135 + 0.173587i
\(582\) −5.81375 1.88900i −0.240988 0.0783017i
\(583\) 16.7588 + 7.88609i 0.694078 + 0.326608i
\(584\) −10.2149 4.04436i −0.422695 0.167357i
\(585\) 9.05817 + 6.51752i 0.374509 + 0.269466i
\(586\) −2.34156 0.601210i −0.0967288 0.0248357i
\(587\) −15.2869 + 38.6103i −0.630958 + 1.59362i 0.163666 + 0.986516i \(0.447668\pi\)
−0.794624 + 0.607102i \(0.792332\pi\)
\(588\) 2.09896 + 8.17491i 0.0865597 + 0.337128i
\(589\) 10.1655 16.0183i 0.418863 0.660022i
\(590\) −4.04210 + 21.7336i −0.166411 + 0.894760i
\(591\) −0.189391 + 3.01028i −0.00779050 + 0.123826i
\(592\) 4.95394 + 9.01119i 0.203606 + 0.370357i
\(593\) −15.8135 + 5.13811i −0.649381 + 0.210997i −0.615141 0.788417i \(-0.710901\pi\)
−0.0342400 + 0.999414i \(0.510901\pi\)
\(594\) −1.86947 0.236169i −0.0767053 0.00969013i
\(595\) −44.5865 14.2600i −1.82787 0.584603i
\(596\) 2.55137 2.39589i 0.104508 0.0981396i
\(597\) −7.91960 8.43352i −0.324128 0.345161i
\(598\) −4.33383 + 16.8791i −0.177223 + 0.690239i
\(599\) −8.86859 6.44341i −0.362361 0.263271i 0.391675 0.920104i \(-0.371896\pi\)
−0.754036 + 0.656833i \(0.771896\pi\)
\(600\) 2.71797 + 4.19674i 0.110961 + 0.171331i
\(601\) −28.6914 + 20.8456i −1.17035 + 0.850308i −0.991051 0.133487i \(-0.957383\pi\)
−0.179298 + 0.983795i \(0.557383\pi\)
\(602\) 14.3523 + 36.2499i 0.584957 + 1.47743i
\(603\) 0.284835 + 2.25470i 0.0115994 + 0.0918186i
\(604\) −5.34190 2.93673i −0.217359 0.119494i
\(605\) 12.8834 + 10.5584i 0.523784 + 0.429258i
\(606\) 2.79316 5.93576i 0.113464 0.241124i
\(607\) −8.93963 + 12.3043i −0.362848 + 0.499418i −0.950940 0.309377i \(-0.899880\pi\)
0.588091 + 0.808795i \(0.299880\pi\)
\(608\) 0.299959 2.37442i 0.0121649 0.0962954i
\(609\) 15.0681 3.86883i 0.610590 0.156773i
\(610\) 8.75536 + 3.41986i 0.354494 + 0.138466i
\(611\) −25.4624 30.7788i −1.03010 1.24518i
\(612\) −4.10508 3.39602i −0.165938 0.137276i
\(613\) −15.2000 + 9.64624i −0.613924 + 0.389608i −0.806123 0.591748i \(-0.798438\pi\)
0.192199 + 0.981356i \(0.438438\pi\)
\(614\) 0.960985 + 15.2744i 0.0387822 + 0.616425i
\(615\) −12.3838 11.5221i −0.499363 0.464617i
\(616\) −4.71965 + 5.70508i −0.190160 + 0.229864i
\(617\) 10.2606 1.95731i 0.413075 0.0787984i 0.0233453 0.999727i \(-0.492568\pi\)
0.389730 + 0.920929i \(0.372568\pi\)
\(618\) −2.07572 2.85698i −0.0834976 0.114925i
\(619\) 20.4385 11.2362i 0.821494 0.451620i −0.0148070 0.999890i \(-0.504713\pi\)
0.836301 + 0.548270i \(0.184713\pi\)
\(620\) 12.1933 + 12.8651i 0.489695 + 0.516675i
\(621\) 3.46438 0.437653i 0.139021 0.0175624i
\(622\) 27.8148 13.0887i 1.11527 0.524807i
\(623\) 36.4393 2.29257i 1.45991 0.0918498i
\(624\) 4.99056 0.199782
\(625\) −24.8565 2.67518i −0.994258 0.107007i
\(626\) 18.9013 0.755447
\(627\) −4.50085 + 0.283169i −0.179747 + 0.0113087i
\(628\) −14.0158 + 6.59533i −0.559291 + 0.263183i
\(629\) 54.3538 6.86648i 2.16723 0.273784i
\(630\) −6.04417 6.37718i −0.240805 0.254073i
\(631\) 13.4545 7.39668i 0.535615 0.294457i −0.190897 0.981610i \(-0.561140\pi\)
0.726513 + 0.687153i \(0.241140\pi\)
\(632\) −9.90523 13.6334i −0.394009 0.542307i
\(633\) 25.6779 4.89833i 1.02061 0.194691i
\(634\) 7.09981 8.58219i 0.281969 0.340842i
\(635\) 22.4022 + 20.8435i 0.889005 + 0.827148i
\(636\) 0.617184 + 9.80985i 0.0244729 + 0.388986i
\(637\) −35.5637 + 22.5694i −1.40908 + 0.894232i
\(638\) 5.74822 + 4.75534i 0.227574 + 0.188266i
\(639\) −0.867124 1.04817i −0.0343029 0.0414651i
\(640\) 2.08282 + 0.813553i 0.0823306 + 0.0321585i
\(641\) 38.6687 9.92843i 1.52732 0.392149i 0.610685 0.791874i \(-0.290894\pi\)
0.916635 + 0.399724i \(0.130894\pi\)
\(642\) −0.949254 + 7.51412i −0.0374641 + 0.296559i
\(643\) −0.841869 + 1.15873i −0.0332001 + 0.0456960i −0.825294 0.564703i \(-0.808991\pi\)
0.792094 + 0.610399i \(0.208991\pi\)
\(644\) 5.84216 12.4152i 0.230213 0.489228i
\(645\) −17.1600 14.0632i −0.675675 0.553737i
\(646\) −11.1736 6.14274i −0.439620 0.241683i
\(647\) −0.571785 4.52615i −0.0224792 0.177941i 0.976878 0.213799i \(-0.0685837\pi\)
−0.999357 + 0.0358577i \(0.988584\pi\)
\(648\) −0.368125 0.929776i −0.0144613 0.0365251i
\(649\) 15.0711 10.9498i 0.591594 0.429818i
\(650\) −15.7275 + 19.3724i −0.616882 + 0.759848i
\(651\) −25.1995 18.3085i −0.987646 0.717567i
\(652\) −2.77838 + 10.8211i −0.108810 + 0.423786i
\(653\) −32.9331 35.0702i −1.28877 1.37240i −0.890400 0.455179i \(-0.849575\pi\)
−0.398373 0.917224i \(-0.630425\pi\)
\(654\) −0.387231 + 0.363634i −0.0151419 + 0.0142192i
\(655\) −35.2931 11.2877i −1.37902 0.441047i
\(656\) −7.50498 0.948099i −0.293020 0.0370171i
\(657\) −10.4487 + 3.39498i −0.407642 + 0.132451i
\(658\) 15.1521 + 27.5615i 0.590689 + 1.07446i
\(659\) 2.41945 38.4560i 0.0942483 1.49803i −0.612444 0.790514i \(-0.709814\pi\)
0.706693 0.707521i \(-0.250186\pi\)
\(660\) 0.770429 4.14245i 0.0299889 0.161245i
\(661\) 19.8804 31.3265i 0.773259 1.21846i −0.197946 0.980213i \(-0.563427\pi\)
0.971204 0.238248i \(-0.0765730\pi\)
\(662\) −6.88382 26.8107i −0.267547 1.04203i
\(663\) 9.78782 24.7212i 0.380128 0.960093i
\(664\) −1.04998 0.269588i −0.0407470 0.0104620i
\(665\) −17.0691 12.2816i −0.661912 0.476258i
\(666\) 9.56102 + 3.78548i 0.370482 + 0.146684i
\(667\) −12.5091 5.88634i −0.484355 0.227920i
\(668\) 2.59679 + 0.843748i 0.100473 + 0.0326456i
\(669\) −0.624350 3.27296i −0.0241388 0.126540i
\(670\) −5.07019 + 0.342477i −0.195878 + 0.0132310i
\(671\) −3.37259 7.16713i −0.130198 0.276684i
\(672\) −3.85979 0.736293i −0.148894 0.0284031i
\(673\) −31.4716 + 26.0356i −1.21314 + 1.00360i −0.213498 + 0.976944i \(0.568486\pi\)
−0.999645 + 0.0266554i \(0.991514\pi\)
\(674\) 8.02029 24.6839i 0.308930 0.950789i
\(675\) 4.76933 + 1.50115i 0.183572 + 0.0577793i
\(676\) 3.67907 + 11.3230i 0.141503 + 0.435500i
\(677\) 19.3940 + 12.3078i 0.745372 + 0.473027i 0.853489 0.521111i \(-0.174482\pi\)
−0.108117 + 0.994138i \(0.534482\pi\)
\(678\) 5.57408 10.1392i 0.214071 0.389395i
\(679\) −4.50092 + 23.5946i −0.172729 + 0.905479i
\(680\) 8.11497 8.72184i 0.311195 0.334467i
\(681\) −2.78917 2.61920i −0.106881 0.100368i
\(682\) 14.9371i 0.571971i
\(683\) 8.07241 8.59624i 0.308882 0.328926i −0.555733 0.831361i \(-0.687562\pi\)
0.864615 + 0.502435i \(0.167562\pi\)
\(684\) −1.28239 2.02072i −0.0490334 0.0772643i
\(685\) 7.07562 + 1.78196i 0.270346 + 0.0680852i
\(686\) 5.26124 2.08307i 0.200875 0.0795320i
\(687\) 29.2759 + 1.84189i 1.11695 + 0.0702723i
\(688\) −9.90251 0.623013i −0.377530 0.0237522i
\(689\) −45.6088 + 18.0578i −1.73756 + 0.687947i
\(690\) 0.526220 + 7.79041i 0.0200328 + 0.296576i
\(691\) −19.8884 31.3392i −0.756592 1.19220i −0.976256 0.216622i \(-0.930496\pi\)
0.219664 0.975576i \(-0.429504\pi\)
\(692\) −13.9340 + 14.8382i −0.529692 + 0.564064i
\(693\) 7.40426i 0.281264i
\(694\) −18.6328 17.4974i −0.707292 0.664191i
\(695\) −5.54419 + 45.5765i −0.210303 + 1.72882i
\(696\) −0.741862 + 3.88898i −0.0281202 + 0.147411i
\(697\) −19.4158 + 35.3171i −0.735424 + 1.33773i
\(698\) 16.1218 + 10.2312i 0.610221 + 0.387258i
\(699\) 6.62165 + 20.3793i 0.250454 + 0.770817i
\(700\) 15.0220 12.6625i 0.567780 0.478599i
\(701\) −11.6603 + 35.8866i −0.440402 + 1.35542i 0.447046 + 0.894511i \(0.352476\pi\)
−0.887448 + 0.460908i \(0.847524\pi\)
\(702\) 3.84529 3.18110i 0.145131 0.120063i
\(703\) 24.1746 + 4.61156i 0.911764 + 0.173928i
\(704\) −0.802308 1.70499i −0.0302381 0.0642593i
\(705\) −15.1559 9.52047i −0.570806 0.358562i
\(706\) 2.20928 + 11.5815i 0.0831474 + 0.435874i
\(707\) −24.5156 7.96559i −0.922002 0.299577i
\(708\) 8.94535 + 4.20936i 0.336187 + 0.158197i
\(709\) −42.0505 16.6490i −1.57924 0.625265i −0.595257 0.803535i \(-0.702950\pi\)
−0.983982 + 0.178270i \(0.942950\pi\)
\(710\) 2.45263 1.79929i 0.0920457 0.0675260i
\(711\) −16.3224 4.19087i −0.612136 0.157170i
\(712\) −3.42057 + 8.63936i −0.128191 + 0.323774i
\(713\) 6.88385 + 26.8108i 0.257802 + 1.00407i
\(714\) −11.2174 + 17.6757i −0.419799 + 0.661498i
\(715\) 20.8495 2.73167i 0.779726 0.102159i
\(716\) −1.38590 + 22.0283i −0.0517935 + 0.823235i
\(717\) −2.05391 3.73605i −0.0767048 0.139525i
\(718\) 1.04533 0.339648i 0.0390113 0.0126756i
\(719\) −5.38548 0.680345i −0.200845 0.0253726i 0.0242672 0.999706i \(-0.492275\pi\)
−0.225112 + 0.974333i \(0.572275\pi\)
\(720\) 2.12342 0.700785i 0.0791351 0.0261167i
\(721\) −10.1154 + 9.49899i −0.376717 + 0.353761i
\(722\) 9.08542 + 9.67499i 0.338124 + 0.360066i
\(723\) 1.70114 6.62551i 0.0632662 0.246406i
\(724\) 5.67595 + 4.12382i 0.210945 + 0.153261i
\(725\) −12.7583 15.1356i −0.473832 0.562124i
\(726\) 6.02661 4.37859i 0.223669 0.162505i
\(727\) 5.76747 + 14.5670i 0.213904 + 0.540259i 0.996623 0.0821164i \(-0.0261679\pi\)
−0.782719 + 0.622375i \(0.786168\pi\)
\(728\) −2.45776 19.4552i −0.0910908 0.721058i
\(729\) −0.876307 0.481754i −0.0324558 0.0178427i
\(730\) −6.21909 23.7661i −0.230179 0.879622i
\(731\) −22.5076 + 47.8311i −0.832474 + 1.76910i
\(732\) 2.47082 3.40079i 0.0913242 0.125697i
\(733\) −5.32289 + 42.1350i −0.196605 + 1.55629i 0.517149 + 0.855896i \(0.326993\pi\)
−0.713754 + 0.700396i \(0.753007\pi\)
\(734\) 8.20402 2.10643i 0.302816 0.0777499i
\(735\) −11.9626 + 14.5969i −0.441248 + 0.538415i
\(736\) 2.22583 + 2.69057i 0.0820453 + 0.0991757i
\(737\) 3.29962 + 2.72969i 0.121543 + 0.100549i
\(738\) −6.38703 + 4.05333i −0.235110 + 0.149205i
\(739\) −2.30051 36.5655i −0.0846255 1.34508i −0.779704 0.626149i \(-0.784630\pi\)
0.695078 0.718934i \(-0.255370\pi\)
\(740\) −9.69421 + 20.8504i −0.356366 + 0.766474i
\(741\) 7.61331 9.20291i 0.279682 0.338077i
\(742\) 37.9388 7.23721i 1.39278 0.265686i
\(743\) −16.2534 22.3708i −0.596278 0.820706i 0.399083 0.916915i \(-0.369328\pi\)
−0.995361 + 0.0962083i \(0.969328\pi\)
\(744\) 6.94649 3.81887i 0.254671 0.140006i
\(745\) 7.69423 + 1.43100i 0.281895 + 0.0524278i
\(746\) −28.5593 + 3.60788i −1.04563 + 0.132094i
\(747\) −0.980863 + 0.461559i −0.0358879 + 0.0168876i
\(748\) −10.0194 + 0.630366i −0.366345 + 0.0230485i
\(749\) 29.7605 1.08743
\(750\) −3.97152 + 10.4512i −0.145019 + 0.381623i
\(751\) 3.77414 0.137720 0.0688601 0.997626i \(-0.478064\pi\)
0.0688601 + 0.997626i \(0.478064\pi\)
\(752\) −7.98848 + 0.502592i −0.291310 + 0.0183277i
\(753\) −0.166911 + 0.0785422i −0.00608257 + 0.00286224i
\(754\) −19.6023 + 2.47635i −0.713875 + 0.0901834i
\(755\) −1.77077 13.5154i −0.0644448 0.491875i
\(756\) −3.44335 + 1.89300i −0.125233 + 0.0688476i
\(757\) 6.10620 + 8.40447i 0.221934 + 0.305466i 0.905436 0.424483i \(-0.139544\pi\)
−0.683502 + 0.729948i \(0.739544\pi\)
\(758\) 13.7322 2.61955i 0.498774 0.0951463i
\(759\) 4.19420 5.06992i 0.152240 0.184026i
\(760\) 4.67767 2.59974i 0.169677 0.0943025i
\(761\) −0.726170 11.5421i −0.0263236 0.418402i −0.989016 0.147806i \(-0.952779\pi\)
0.962693 0.270597i \(-0.0872210\pi\)
\(762\) 11.5541 7.33245i 0.418561 0.265627i
\(763\) 1.60830 + 1.33050i 0.0582242 + 0.0481673i
\(764\) −10.1391 12.2561i −0.366821 0.443410i
\(765\) 0.693181 11.8930i 0.0250620 0.429991i
\(766\) 3.84371 0.986897i 0.138879 0.0356580i
\(767\) −6.18368 + 48.9489i −0.223280 + 1.76744i
\(768\) 0.587785 0.809017i 0.0212099 0.0291929i
\(769\) 3.09956 6.58690i 0.111773 0.237530i −0.841112 0.540860i \(-0.818099\pi\)
0.952885 + 0.303331i \(0.0980987\pi\)
\(770\) −16.5284 0.963355i −0.595641 0.0347169i
\(771\) −12.7373 7.00237i −0.458722 0.252184i
\(772\) −1.18131 9.35105i −0.0425164 0.336552i
\(773\) −1.27261 3.21423i −0.0457724 0.115608i 0.905092 0.425216i \(-0.139802\pi\)
−0.950864 + 0.309608i \(0.899802\pi\)
\(774\) −8.02714 + 5.83206i −0.288530 + 0.209629i
\(775\) −7.06738 + 38.9999i −0.253868 + 1.40092i
\(776\) −4.94547 3.59310i −0.177532 0.128985i
\(777\) 10.0487 39.1370i 0.360494 1.40403i
\(778\) 19.7556 + 21.0376i 0.708273 + 0.754234i
\(779\) −13.1975 + 12.3933i −0.472850 + 0.444036i
\(780\) 6.60081 + 8.99766i 0.236347 + 0.322168i
\(781\) −2.54315 0.321274i −0.0910009 0.0114961i
\(782\) 17.6934 5.74895i 0.632716 0.205582i
\(783\) 1.90731 + 3.46939i 0.0681618 + 0.123986i
\(784\) −0.529957 + 8.42342i −0.0189270 + 0.300836i
\(785\) −30.4291 16.5462i −1.08606 0.590559i
\(786\) −8.87927 + 13.9915i −0.316713 + 0.499060i
\(787\) −3.99345 15.5535i −0.142351 0.554421i −0.999242 0.0389234i \(-0.987607\pi\)
0.856891 0.515497i \(-0.172393\pi\)
\(788\) −1.11035 + 2.80442i −0.0395546 + 0.0999034i
\(789\) −21.7338 5.58030i −0.773745 0.198664i
\(790\) 11.4789 35.8908i 0.408400 1.27694i
\(791\) −42.2719 16.7366i −1.50302 0.595086i
\(792\) −1.70499 0.802308i −0.0605843 0.0285088i
\(793\) 19.9516 + 6.48268i 0.708503 + 0.230207i
\(794\) −4.17361 21.8789i −0.148116 0.776451i
\(795\) −16.8702 + 14.0878i −0.598324 + 0.499644i
\(796\) −4.92589 10.4680i −0.174593 0.371030i
\(797\) −5.43944 1.03763i −0.192675 0.0367547i 0.0901406 0.995929i \(-0.471268\pi\)
−0.282815 + 0.959174i \(0.591268\pi\)
\(798\) −7.24603 + 5.99444i −0.256507 + 0.212201i
\(799\) −13.1779 + 40.5574i −0.466200 + 1.43482i
\(800\) 1.28807 + 4.83124i 0.0455403 + 0.170810i
\(801\) 2.87135 + 8.83710i 0.101454 + 0.312243i
\(802\) −30.5277 19.3735i −1.07797 0.684101i
\(803\) −9.97325 + 18.1413i −0.351948 + 0.640192i
\(804\) −0.425847 + 2.23237i −0.0150185 + 0.0787296i
\(805\) 30.1110 5.88806i 1.06127 0.207527i
\(806\) 28.8382 + 27.0808i 1.01578 + 0.953882i
\(807\) 7.73304i 0.272216i
\(808\) 4.49070 4.78211i 0.157982 0.168234i
\(809\) −0.305123 0.480797i −0.0107276 0.0169039i 0.838922 0.544252i \(-0.183186\pi\)
−0.849649 + 0.527348i \(0.823186\pi\)
\(810\) 1.18942 1.89348i 0.0417921 0.0665302i
\(811\) −33.8813 + 13.4146i −1.18973 + 0.471049i −0.877787 0.479051i \(-0.840981\pi\)
−0.311946 + 0.950100i \(0.600981\pi\)
\(812\) 15.5261 + 0.976822i 0.544861 + 0.0342797i
\(813\) 5.58451 + 0.351348i 0.195857 + 0.0123223i
\(814\) 18.0161 7.13308i 0.631464 0.250014i
\(815\) −23.1846 + 9.30336i −0.812120 + 0.325882i
\(816\) −2.85474 4.49835i −0.0999358 0.157474i
\(817\) −16.2556 + 17.3104i −0.568710 + 0.605615i
\(818\) 2.61424i 0.0914048i
\(819\) −14.2950 13.4239i −0.499506 0.469068i
\(820\) −8.21716 14.7850i −0.286956 0.516315i
\(821\) −2.76530 + 14.4962i −0.0965095 + 0.505920i 0.900902 + 0.434022i \(0.142906\pi\)
−0.997412 + 0.0718988i \(0.977094\pi\)
\(822\) 1.57202 2.85949i 0.0548305 0.0997363i
\(823\) 40.4690 + 25.6824i 1.41066 + 0.895233i 0.999864 0.0164936i \(-0.00525031\pi\)
0.410798 + 0.911727i \(0.365250\pi\)
\(824\) −1.09127 3.35858i −0.0380161 0.117002i
\(825\) 8.48759 4.09002i 0.295500 0.142396i
\(826\) 12.0043 36.9456i 0.417685 1.28550i
\(827\) −19.8480 + 16.4197i −0.690181 + 0.570967i −0.915010 0.403431i \(-0.867818\pi\)
0.224829 + 0.974398i \(0.427818\pi\)
\(828\) 3.43007 + 0.654320i 0.119203 + 0.0227392i
\(829\) −6.67414 14.1833i −0.231803 0.492606i 0.754758 0.656004i \(-0.227754\pi\)
−0.986560 + 0.163398i \(0.947754\pi\)
\(830\) −0.902710 2.24961i −0.0313335 0.0780852i
\(831\) −2.44743 12.8299i −0.0849003 0.445063i
\(832\) 4.74631 + 1.54217i 0.164549 + 0.0534651i
\(833\) 40.6868 + 19.1458i 1.40971 + 0.663361i
\(834\) 19.0908 + 7.55859i 0.661061 + 0.261732i
\(835\) 1.91344 + 5.79783i 0.0662174 + 0.200642i
\(836\) −4.36807 1.12153i −0.151073 0.0387889i
\(837\) 2.91813 7.37035i 0.100865 0.254756i
\(838\) −4.87559 18.9892i −0.168424 0.655970i
\(839\) −21.9408 + 34.5732i −0.757482 + 1.19360i 0.218518 + 0.975833i \(0.429878\pi\)
−0.976001 + 0.217768i \(0.930122\pi\)
\(840\) −3.77769 7.93281i −0.130343 0.273708i
\(841\) −0.836716 + 13.2992i −0.0288523 + 0.458594i
\(842\) −3.01859 5.49079i −0.104027 0.189225i
\(843\) 14.7989 4.80846i 0.509701 0.165612i
\(844\) 25.9348 + 3.27633i 0.892714 + 0.112776i
\(845\) −15.5485 + 21.6096i −0.534884 + 0.743392i
\(846\) −5.83486 + 5.47930i −0.200607 + 0.188382i
\(847\) −20.0375 21.3378i −0.688497 0.733175i
\(848\) −2.44443 + 9.52044i −0.0839422 + 0.326933i
\(849\) −2.72223 1.97782i −0.0934267 0.0678785i
\(850\) 26.4583 + 3.09475i 0.907511 + 0.106149i
\(851\) −29.0501 + 21.1061i −0.995824 + 0.723509i
\(852\) −0.500781 1.26483i −0.0171565 0.0433323i
\(853\) 3.09946 + 24.5347i 0.106123 + 0.840053i 0.951877 + 0.306480i \(0.0991512\pi\)
−0.845754 + 0.533574i \(0.820849\pi\)
\(854\) −14.4745 7.95742i −0.495307 0.272297i
\(855\) 1.94707 4.98479i 0.0665883 0.170476i
\(856\) −3.22479 + 6.85302i −0.110221 + 0.234231i
\(857\) 29.6800 40.8510i 1.01385 1.39544i 0.0974204 0.995243i \(-0.468941\pi\)
0.916428 0.400199i \(-0.131059\pi\)
\(858\) 1.17862 9.32971i 0.0402373 0.318511i
\(859\) −9.52710 + 2.44614i −0.325061 + 0.0834614i −0.407694 0.913119i \(-0.633667\pi\)
0.0826333 + 0.996580i \(0.473667\pi\)
\(860\) −11.9744 18.6776i −0.408323 0.636901i
\(861\) 18.9470 + 22.9030i 0.645712 + 0.780532i
\(862\) 2.15631 + 1.78385i 0.0734441 + 0.0607582i
\(863\) 29.5889 18.7777i 1.00722 0.639199i 0.0735308 0.997293i \(-0.476573\pi\)
0.933686 + 0.358094i \(0.116573\pi\)
\(864\) −0.0627905 0.998027i −0.00213618 0.0339536i
\(865\) −45.1823 5.49623i −1.53624 0.186877i
\(866\) 17.2911 20.9014i 0.587576 0.710258i
\(867\) −11.1830 + 2.13327i −0.379795 + 0.0724497i
\(868\) −18.3085 25.1995i −0.621431 0.855326i
\(869\) −27.8265 + 15.2978i −0.943950 + 0.518941i
\(870\) −7.99280 + 3.80626i −0.270981 + 0.129044i
\(871\) −11.2522 + 1.42149i −0.381268 + 0.0481653i
\(872\) −0.480648 + 0.226176i −0.0162768 + 0.00765927i
\(873\) −6.10088 + 0.383835i −0.206483 + 0.0129908i
\(874\) 8.35718 0.282686
\(875\) 42.6988 + 10.3355i 1.44348 + 0.349405i
\(876\) −10.9864 −0.371196
\(877\) 22.2344 1.39887i 0.750802 0.0472364i 0.317222 0.948351i \(-0.397250\pi\)
0.433580 + 0.901115i \(0.357250\pi\)
\(878\) 10.4296 4.90780i 0.351982 0.165630i
\(879\) −2.39844 + 0.302994i −0.0808975 + 0.0102197i
\(880\) 2.01281 3.70163i 0.0678518 0.124782i
\(881\) 34.1689 18.7845i 1.15118 0.632867i 0.212332 0.977198i \(-0.431894\pi\)
0.938848 + 0.344331i \(0.111894\pi\)
\(882\) 4.96095 + 6.82816i 0.167044 + 0.229916i
\(883\) −28.1367 + 5.36737i −0.946876 + 0.180626i −0.637619 0.770352i \(-0.720080\pi\)
−0.309257 + 0.950978i \(0.600080\pi\)
\(884\) 16.9480 20.4867i 0.570025 0.689041i
\(885\) 4.24243 + 21.6954i 0.142608 + 0.729284i
\(886\) −1.12582 17.8943i −0.0378226 0.601172i
\(887\) −28.1719 + 17.8784i −0.945919 + 0.600298i −0.916830 0.399279i \(-0.869261\pi\)
−0.0290890 + 0.999577i \(0.509261\pi\)
\(888\) 7.92330 + 6.55472i 0.265888 + 0.219962i
\(889\) −34.2750 41.4314i −1.14955 1.38956i
\(890\) −20.1005 + 5.25987i −0.673769 + 0.176311i
\(891\) −1.82513 + 0.468614i −0.0611441 + 0.0156991i
\(892\) 0.417607 3.30570i 0.0139825 0.110683i
\(893\) −11.2599 + 15.4980i −0.376800 + 0.518620i
\(894\) 1.49021 3.16687i 0.0498402 0.105916i
\(895\) −41.5486 + 26.6372i −1.38882 + 0.890383i
\(896\) −3.44335 1.89300i −0.115034 0.0632406i
\(897\) 2.18414 + 17.2892i 0.0729262 + 0.577270i
\(898\) −0.0936931 0.236642i −0.00312658 0.00789684i
\(899\) −25.3901 + 18.4470i −0.846806 + 0.615241i
\(900\) 4.07203 + 2.90148i 0.135734 + 0.0967161i
\(901\) 42.3662 + 30.7809i 1.41142 + 1.02546i
\(902\) −3.54489 + 13.8064i −0.118032 + 0.459704i
\(903\) 26.6889 + 28.4208i 0.888152 + 0.945786i
\(904\) 8.43446 7.92049i 0.280526 0.263431i
\(905\) 0.0723651 + 15.6878i 0.00240550 + 0.521480i
\(906\) −6.04785 0.764022i −0.200926 0.0253829i
\(907\) 20.2542 6.58100i 0.672531 0.218518i 0.0472083 0.998885i \(-0.484968\pi\)
0.625322 + 0.780367i \(0.284968\pi\)
\(908\) −1.84328 3.35291i −0.0611713 0.111270i
\(909\) 0.411912 6.54716i 0.0136623 0.217156i
\(910\) 31.8257 30.1638i 1.05501 0.999920i
\(911\) 5.39891 8.50732i 0.178874 0.281860i −0.743046 0.669240i \(-0.766620\pi\)
0.921920 + 0.387380i \(0.126620\pi\)
\(912\) −0.595187 2.31810i −0.0197086 0.0767600i
\(913\) −0.751959 + 1.89923i −0.0248862 + 0.0628554i
\(914\) −25.3939 6.52006i −0.839957 0.215664i
\(915\) 9.39946 0.0433581i 0.310737 0.00143338i
\(916\) 27.2739 + 10.7985i 0.901155 + 0.356792i
\(917\) 58.9173 + 27.7244i 1.94562 + 0.915540i
\(918\) −5.06697 1.64636i −0.167235 0.0543379i
\(919\) 5.52354 + 28.9554i 0.182205 + 0.955151i 0.949479 + 0.313831i \(0.101613\pi\)
−0.767274 + 0.641319i \(0.778387\pi\)
\(920\) −1.90691 + 7.57173i −0.0628688 + 0.249633i
\(921\) 6.51639 + 13.8480i 0.214722 + 0.456308i
\(922\) −18.0494 3.44311i −0.594426 0.113393i
\(923\) 5.23097 4.32744i 0.172179 0.142439i
\(924\) −2.28804 + 7.04187i −0.0752710 + 0.231660i
\(925\) −50.4140 + 10.0999i −1.65760 + 0.332081i
\(926\) −8.93820 27.5090i −0.293728 0.904001i
\(927\) −2.98168 1.89223i −0.0979311 0.0621490i
\(928\) −1.90731 + 3.46939i −0.0626106 + 0.113888i
\(929\) 3.18520 16.6974i 0.104503 0.547823i −0.891073 0.453860i \(-0.850047\pi\)
0.995576 0.0939629i \(-0.0299535\pi\)
\(930\) 16.0730 + 7.47302i 0.527055 + 0.245050i
\(931\) 14.7248 + 13.8275i 0.482587 + 0.453180i
\(932\) 21.4281i 0.701901i
\(933\) 21.0433 22.4088i 0.688927 0.733633i
\(934\) 18.9919 + 29.9265i 0.621435 + 0.979225i
\(935\) −14.3887 17.2305i −0.470562 0.563499i
\(936\) 4.64011 1.83715i 0.151667 0.0600491i
\(937\) 19.5145 + 1.22775i 0.637511 + 0.0401088i 0.378258 0.925700i \(-0.376523\pi\)
0.259254 + 0.965809i \(0.416523\pi\)
\(938\) 8.91240 + 0.560720i 0.291000 + 0.0183082i
\(939\) 17.5740 6.95803i 0.573505 0.227067i
\(940\) −11.4722 13.7379i −0.374181 0.448082i
\(941\) −18.9356 29.8377i −0.617283 0.972682i −0.998831 0.0483334i \(-0.984609\pi\)
0.381548 0.924349i \(-0.375391\pi\)
\(942\) −10.6037 + 11.2917i −0.345486 + 0.367905i
\(943\) 26.4151i 0.860193i
\(944\) 7.20677 + 6.76760i 0.234560 + 0.220267i
\(945\) −7.96732 3.70434i −0.259177 0.120502i
\(946\) −3.50337 + 18.3653i −0.113904 + 0.597108i
\(947\) 0.251789 0.458002i 0.00818203 0.0148831i −0.872184 0.489178i \(-0.837297\pi\)
0.880366 + 0.474295i \(0.157297\pi\)
\(948\) −14.2284 9.02964i −0.462118 0.293269i
\(949\) −16.9429 52.1448i −0.549988 1.69269i
\(950\) 10.8741 + 4.99496i 0.352803 + 0.162058i
\(951\) 3.44192 10.5931i 0.111612 0.343506i
\(952\) −16.1305 + 13.3443i −0.522791 + 0.432490i
\(953\) −28.3196 5.40226i −0.917363 0.174996i −0.292984 0.956117i \(-0.594648\pi\)
−0.624380 + 0.781121i \(0.714648\pi\)
\(954\) 4.18509 + 8.89377i 0.135497 + 0.287946i
\(955\) 8.68635 34.4908i 0.281084 1.11610i
\(956\) −0.798883 4.18789i −0.0258377 0.135446i
\(957\) 7.09512 + 2.30534i 0.229353 + 0.0745212i
\(958\) 20.1167 + 9.46618i 0.649940 + 0.305838i
\(959\) −11.9217 4.72012i −0.384970 0.152420i
\(960\) 2.23604 0.0103145i 0.0721680 0.000332899i
\(961\) 30.8373 + 7.91766i 0.994750 + 0.255408i
\(962\) −18.8917 + 47.7149i −0.609091 + 1.53839i
\(963\) 1.88354 + 7.33590i 0.0606962 + 0.236396i
\(964\) 3.66528 5.77556i 0.118051 0.186018i
\(965\) 15.2969 14.4981i 0.492424 0.466710i
\(966\) 0.861554 13.6940i 0.0277201 0.440598i
\(967\) 17.6781 + 32.1563i 0.568488 + 1.03408i 0.991764 + 0.128076i \(0.0408801\pi\)
−0.423276 + 0.906001i \(0.639120\pi\)
\(968\) 7.08471 2.30196i 0.227711 0.0739878i
\(969\) −12.6503 1.59810i −0.406385 0.0513383i
\(970\) −0.0630519 13.6688i −0.00202447 0.438879i
\(971\) −32.4069 + 30.4321i −1.03999 + 0.976612i −0.999745 0.0225776i \(-0.992813\pi\)
−0.0402415 + 0.999190i \(0.512813\pi\)
\(972\) −0.684547 0.728969i −0.0219569 0.0233817i
\(973\) 20.0645 78.1461i 0.643239 2.50525i
\(974\) 1.94071 + 1.41001i 0.0621844 + 0.0451796i
\(975\) −7.49158 + 23.8017i −0.239923 + 0.762263i
\(976\) 3.40079 2.47082i 0.108857 0.0790891i
\(977\) −4.14126 10.4596i −0.132491 0.334633i 0.848353 0.529432i \(-0.177595\pi\)
−0.980843 + 0.194798i \(0.937595\pi\)
\(978\) 1.40023 + 11.0840i 0.0447745 + 0.354427i
\(979\) 15.3432 + 8.43500i 0.490371 + 0.269584i
\(980\) −15.8878 + 10.1858i −0.507518 + 0.325374i
\(981\) −0.226176 + 0.480648i −0.00722123 + 0.0153459i
\(982\) −22.3381 + 30.7457i −0.712837 + 0.981136i
\(983\) 2.63733 20.8766i 0.0841179 0.665861i −0.892526 0.450996i \(-0.851069\pi\)
0.976644 0.214865i \(-0.0689312\pi\)
\(984\) −7.32697 + 1.88125i −0.233575 + 0.0599719i
\(985\) −6.52481 + 1.70741i −0.207898 + 0.0544025i
\(986\) 13.4452 + 16.2524i 0.428182 + 0.517583i
\(987\) 24.2341 + 20.0482i 0.771379 + 0.638141i
\(988\) 10.0845 6.39984i 0.320832 0.203606i
\(989\) −2.17551 34.5787i −0.0691772 1.09954i
\(990\) −0.808612 4.13517i −0.0256994 0.131424i
\(991\) −12.6554 + 15.2977i −0.402010 + 0.485947i −0.932206 0.361928i \(-0.882119\pi\)
0.530195 + 0.847875i \(0.322119\pi\)
\(992\) 7.78660 1.48537i 0.247225 0.0471607i
\(993\) −16.2701 22.3939i −0.516316 0.710648i
\(994\) −4.68418 + 2.57515i −0.148573 + 0.0816788i
\(995\) 12.3579 22.7267i 0.391773 0.720485i
\(996\) −1.07549 + 0.135865i −0.0340781 + 0.00430506i
\(997\) 34.8821 16.4143i 1.10473 0.519845i 0.215127 0.976586i \(-0.430984\pi\)
0.889599 + 0.456741i \(0.150984\pi\)
\(998\) −25.6240 + 1.61213i −0.811114 + 0.0510310i
\(999\) 10.2831 0.325344
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 750.2.o.b.469.13 yes 280
125.4 even 50 inner 750.2.o.b.379.13 280
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
750.2.o.b.379.13 280 125.4 even 50 inner
750.2.o.b.469.13 yes 280 1.1 even 1 trivial