Properties

Label 230.2.l.a.203.2
Level $230$
Weight $2$
Character 230.203
Analytic conductor $1.837$
Analytic rank $0$
Dimension $240$
Inner twists $4$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [230,2,Mod(7,230)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(230, base_ring=CyclotomicField(44))
 
chi = DirichletCharacter(H, H._module([11, 38]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("230.7");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 230 = 2 \cdot 5 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 230.l (of order \(44\), 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: \(1.83655924649\)
Analytic rank: \(0\)
Dimension: \(240\)
Relative dimension: \(12\) over \(\Q(\zeta_{44})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{44}]$

Embedding invariants

Embedding label 203.2
Character \(\chi\) \(=\) 230.203
Dual form 230.2.l.a.17.2

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-0.936950 - 0.349464i) q^{2} +(-1.69758 - 0.926949i) q^{3} +(0.755750 + 0.654861i) q^{4} +(-1.50435 - 1.65436i) q^{5} +(1.26661 + 1.46175i) q^{6} +(-0.735871 + 0.983009i) q^{7} +(-0.479249 - 0.877679i) q^{8} +(0.400622 + 0.623380i) q^{9} +(0.831363 + 2.07577i) q^{10} +(3.08362 + 1.40824i) q^{11} +(-0.675923 - 1.81222i) q^{12} +(-5.47285 + 4.09692i) q^{13} +(1.03300 - 0.663869i) q^{14} +(1.02025 + 4.20287i) q^{15} +(0.142315 + 0.989821i) q^{16} +(-0.214766 + 3.00282i) q^{17} +(-0.157514 - 0.724078i) q^{18} +(-1.88225 + 2.17223i) q^{19} +(-0.0535372 - 2.23543i) q^{20} +(2.16040 - 0.986621i) q^{21} +(-2.39707 - 2.39707i) q^{22} +(3.93443 - 2.74231i) q^{23} +1.93417i q^{24} +(-0.473838 + 4.97750i) q^{25} +(6.55951 - 1.92605i) q^{26} +(0.311700 + 4.35813i) q^{27} +(-1.19987 + 0.261015i) q^{28} +(-3.99884 + 3.46501i) q^{29} +(0.512830 - 4.29442i) q^{30} +(-5.92845 - 1.74075i) q^{31} +(0.212565 - 0.977147i) q^{32} +(-3.92933 - 5.24896i) q^{33} +(1.25060 - 2.73844i) q^{34} +(2.73326 - 0.261395i) q^{35} +(-0.105457 + 0.733470i) q^{36} +(-6.54487 - 1.42375i) q^{37} +(2.52269 - 1.37749i) q^{38} +(13.0882 - 1.88180i) q^{39} +(-0.731040 + 2.11319i) q^{40} +(-2.34072 - 1.50429i) q^{41} +(-2.36897 + 0.169432i) q^{42} +(4.04137 - 7.40121i) q^{43} +(1.40824 + 3.08362i) q^{44} +(0.428620 - 1.60056i) q^{45} +(-4.64470 + 1.19446i) q^{46} +(5.79351 - 5.79351i) q^{47} +(0.675923 - 1.81222i) q^{48} +(1.54733 + 5.26972i) q^{49} +(2.18342 - 4.49808i) q^{50} +(3.14805 - 4.89846i) q^{51} +(-6.81902 - 0.487706i) q^{52} +(-8.41893 - 6.30233i) q^{53} +(1.23096 - 4.19228i) q^{54} +(-2.30911 - 7.21993i) q^{55} +(1.21543 + 0.174753i) q^{56} +(5.20882 - 1.94279i) q^{57} +(4.95761 - 1.84909i) q^{58} +(-7.66795 - 1.10249i) q^{59} +(-1.98124 + 3.84444i) q^{60} +(0.704279 - 2.39855i) q^{61} +(4.94633 + 3.70278i) q^{62} +(-0.907593 - 0.0649124i) q^{63} +(-0.540641 + 0.841254i) q^{64} +(15.0109 + 2.89086i) q^{65} +(1.84726 + 6.29117i) q^{66} +(-3.20331 + 8.58840i) q^{67} +(-2.12874 + 2.12874i) q^{68} +(-9.22099 + 1.00827i) q^{69} +(-2.65228 - 0.710264i) q^{70} +(-1.74986 - 3.83166i) q^{71} +(0.355130 - 0.650371i) q^{72} +(0.769439 - 0.0550313i) q^{73} +(5.63467 + 3.62118i) q^{74} +(5.41826 - 8.01048i) q^{75} +(-2.84502 + 0.409052i) q^{76} +(-3.65346 + 1.99494i) q^{77} +(-12.9206 - 2.81071i) q^{78} +(-0.551491 + 3.83570i) q^{79} +(1.42343 - 1.72448i) q^{80} +(4.43411 - 9.70936i) q^{81} +(1.66744 + 2.22744i) q^{82} +(-2.57122 + 11.8197i) q^{83} +(2.27882 + 0.669122i) q^{84} +(5.29085 - 4.16201i) q^{85} +(-6.37301 + 5.52225i) q^{86} +(10.0002 - 2.17542i) q^{87} +(-0.241837 - 3.38133i) q^{88} +(-10.7709 + 3.16262i) q^{89} +(-0.960932 + 1.34985i) q^{90} -8.39466i q^{91} +(4.76927 + 0.504008i) q^{92} +(8.45044 + 8.45044i) q^{93} +(-7.45285 + 3.40360i) q^{94} +(6.42523 - 0.153881i) q^{95} +(-1.26661 + 1.46175i) q^{96} +(1.36894 + 6.29292i) q^{97} +(0.391808 - 5.47819i) q^{98} +(0.357496 + 2.48644i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 240 q - 8 q^{3} - 8 q^{6} - 8 q^{12} + 16 q^{13} + 24 q^{16} - 72 q^{18} - 80 q^{23} - 8 q^{26} + 16 q^{27} - 44 q^{28} + 24 q^{31} - 44 q^{33} - 8 q^{35} - 32 q^{36} - 88 q^{37} - 24 q^{41} - 8 q^{46}+ \cdots + 24 q^{98}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/230\mathbb{Z}\right)^\times\).

\(n\) \(47\) \(51\)
\(\chi(n)\) \(e\left(\frac{3}{4}\right)\) \(e\left(\frac{15}{22}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.936950 0.349464i −0.662524 0.247108i
\(3\) −1.69758 0.926949i −0.980098 0.535174i −0.0924605 0.995716i \(-0.529473\pi\)
−0.887638 + 0.460542i \(0.847655\pi\)
\(4\) 0.755750 + 0.654861i 0.377875 + 0.327430i
\(5\) −1.50435 1.65436i −0.672768 0.739854i
\(6\) 1.26661 + 1.46175i 0.517092 + 0.596756i
\(7\) −0.735871 + 0.983009i −0.278133 + 0.371542i −0.917755 0.397148i \(-0.870000\pi\)
0.639622 + 0.768690i \(0.279091\pi\)
\(8\) −0.479249 0.877679i −0.169440 0.310306i
\(9\) 0.400622 + 0.623380i 0.133541 + 0.207793i
\(10\) 0.831363 + 2.07577i 0.262900 + 0.656417i
\(11\) 3.08362 + 1.40824i 0.929747 + 0.424601i 0.821942 0.569571i \(-0.192891\pi\)
0.107805 + 0.994172i \(0.465618\pi\)
\(12\) −0.675923 1.81222i −0.195122 0.523143i
\(13\) −5.47285 + 4.09692i −1.51790 + 1.13628i −0.568292 + 0.822827i \(0.692396\pi\)
−0.949603 + 0.313455i \(0.898513\pi\)
\(14\) 1.03300 0.663869i 0.276081 0.177426i
\(15\) 1.02025 + 4.20287i 0.263428 + 1.08518i
\(16\) 0.142315 + 0.989821i 0.0355787 + 0.247455i
\(17\) −0.214766 + 3.00282i −0.0520885 + 0.728292i 0.902561 + 0.430561i \(0.141684\pi\)
−0.954650 + 0.297731i \(0.903770\pi\)
\(18\) −0.157514 0.724078i −0.0371263 0.170667i
\(19\) −1.88225 + 2.17223i −0.431818 + 0.498344i −0.929401 0.369072i \(-0.879675\pi\)
0.497583 + 0.867416i \(0.334221\pi\)
\(20\) −0.0535372 2.23543i −0.0119713 0.499857i
\(21\) 2.16040 0.986621i 0.471438 0.215298i
\(22\) −2.39707 2.39707i −0.511057 0.511057i
\(23\) 3.93443 2.74231i 0.820386 0.571810i
\(24\) 1.93417i 0.394811i
\(25\) −0.473838 + 4.97750i −0.0947675 + 0.995499i
\(26\) 6.55951 1.92605i 1.28643 0.377729i
\(27\) 0.311700 + 4.35813i 0.0599867 + 0.838723i
\(28\) −1.19987 + 0.261015i −0.226754 + 0.0493273i
\(29\) −3.99884 + 3.46501i −0.742565 + 0.643436i −0.941668 0.336542i \(-0.890743\pi\)
0.199103 + 0.979979i \(0.436197\pi\)
\(30\) 0.512830 4.29442i 0.0936295 0.784051i
\(31\) −5.92845 1.74075i −1.06478 0.312648i −0.298007 0.954564i \(-0.596322\pi\)
−0.766775 + 0.641916i \(0.778140\pi\)
\(32\) 0.212565 0.977147i 0.0375766 0.172737i
\(33\) −3.92933 5.24896i −0.684008 0.913727i
\(34\) 1.25060 2.73844i 0.214477 0.469639i
\(35\) 2.73326 0.261395i 0.462006 0.0441838i
\(36\) −0.105457 + 0.733470i −0.0175762 + 0.122245i
\(37\) −6.54487 1.42375i −1.07597 0.234063i −0.360538 0.932745i \(-0.617407\pi\)
−0.715433 + 0.698682i \(0.753770\pi\)
\(38\) 2.52269 1.37749i 0.409234 0.223459i
\(39\) 13.0882 1.88180i 2.09580 0.301330i
\(40\) −0.731040 + 2.11319i −0.115588 + 0.334125i
\(41\) −2.34072 1.50429i −0.365559 0.234930i 0.344946 0.938622i \(-0.387897\pi\)
−0.710505 + 0.703692i \(0.751533\pi\)
\(42\) −2.36897 + 0.169432i −0.365541 + 0.0261440i
\(43\) 4.04137 7.40121i 0.616302 1.12867i −0.364042 0.931382i \(-0.618604\pi\)
0.980345 0.197291i \(-0.0632145\pi\)
\(44\) 1.40824 + 3.08362i 0.212301 + 0.464873i
\(45\) 0.428620 1.60056i 0.0638948 0.238597i
\(46\) −4.64470 + 1.19446i −0.684824 + 0.176114i
\(47\) 5.79351 5.79351i 0.845070 0.845070i −0.144443 0.989513i \(-0.546139\pi\)
0.989513 + 0.144443i \(0.0461389\pi\)
\(48\) 0.675923 1.81222i 0.0975611 0.261571i
\(49\) 1.54733 + 5.26972i 0.221047 + 0.752817i
\(50\) 2.18342 4.49808i 0.308782 0.636124i
\(51\) 3.14805 4.89846i 0.440815 0.685921i
\(52\) −6.81902 0.487706i −0.945628 0.0676326i
\(53\) −8.41893 6.30233i −1.15643 0.865692i −0.163754 0.986501i \(-0.552360\pi\)
−0.992676 + 0.120809i \(0.961451\pi\)
\(54\) 1.23096 4.19228i 0.167513 0.570497i
\(55\) −2.30911 7.21993i −0.311361 0.973535i
\(56\) 1.21543 + 0.174753i 0.162419 + 0.0233523i
\(57\) 5.20882 1.94279i 0.689925 0.257329i
\(58\) 4.95761 1.84909i 0.650966 0.242798i
\(59\) −7.66795 1.10249i −0.998282 0.143531i −0.376246 0.926520i \(-0.622785\pi\)
−0.622036 + 0.782988i \(0.713694\pi\)
\(60\) −1.98124 + 3.84444i −0.255777 + 0.496315i
\(61\) 0.704279 2.39855i 0.0901737 0.307103i −0.902040 0.431653i \(-0.857930\pi\)
0.992213 + 0.124550i \(0.0397486\pi\)
\(62\) 4.94633 + 3.70278i 0.628185 + 0.470253i
\(63\) −0.907593 0.0649124i −0.114346 0.00817819i
\(64\) −0.540641 + 0.841254i −0.0675801 + 0.105157i
\(65\) 15.0109 + 2.89086i 1.86187 + 0.358567i
\(66\) 1.84726 + 6.29117i 0.227381 + 0.774390i
\(67\) −3.20331 + 8.58840i −0.391346 + 1.04924i 0.580631 + 0.814167i \(0.302806\pi\)
−0.971978 + 0.235073i \(0.924467\pi\)
\(68\) −2.12874 + 2.12874i −0.258148 + 0.258148i
\(69\) −9.22099 + 1.00827i −1.11008 + 0.121381i
\(70\) −2.65228 0.710264i −0.317008 0.0848928i
\(71\) −1.74986 3.83166i −0.207670 0.454734i 0.776923 0.629596i \(-0.216779\pi\)
−0.984593 + 0.174862i \(0.944052\pi\)
\(72\) 0.355130 0.650371i 0.0418524 0.0766470i
\(73\) 0.769439 0.0550313i 0.0900560 0.00644093i −0.0262385 0.999656i \(-0.508353\pi\)
0.116294 + 0.993215i \(0.462898\pi\)
\(74\) 5.63467 + 3.62118i 0.655017 + 0.420954i
\(75\) 5.41826 8.01048i 0.625647 0.924970i
\(76\) −2.84502 + 0.409052i −0.326346 + 0.0469215i
\(77\) −3.65346 + 1.99494i −0.416351 + 0.227345i
\(78\) −12.9206 2.81071i −1.46297 0.318251i
\(79\) −0.551491 + 3.83570i −0.0620476 + 0.431550i 0.934993 + 0.354667i \(0.115406\pi\)
−0.997040 + 0.0768830i \(0.975503\pi\)
\(80\) 1.42343 1.72448i 0.159145 0.192803i
\(81\) 4.43411 9.70936i 0.492679 1.07882i
\(82\) 1.66744 + 2.22744i 0.184138 + 0.245979i
\(83\) −2.57122 + 11.8197i −0.282228 + 1.29738i 0.589651 + 0.807658i \(0.299265\pi\)
−0.871879 + 0.489722i \(0.837098\pi\)
\(84\) 2.27882 + 0.669122i 0.248640 + 0.0730072i
\(85\) 5.29085 4.16201i 0.573873 0.451433i
\(86\) −6.37301 + 5.52225i −0.687220 + 0.595479i
\(87\) 10.0002 2.17542i 1.07214 0.233229i
\(88\) −0.241837 3.38133i −0.0257800 0.360451i
\(89\) −10.7709 + 3.16262i −1.14171 + 0.335237i −0.797302 0.603581i \(-0.793740\pi\)
−0.344412 + 0.938819i \(0.611922\pi\)
\(90\) −0.960932 + 1.34985i −0.101291 + 0.142287i
\(91\) 8.39466i 0.880000i
\(92\) 4.76927 + 0.504008i 0.497231 + 0.0525465i
\(93\) 8.45044 + 8.45044i 0.876270 + 0.876270i
\(94\) −7.45285 + 3.40360i −0.768703 + 0.351055i
\(95\) 6.42523 0.153881i 0.659215 0.0157878i
\(96\) −1.26661 + 1.46175i −0.129273 + 0.149189i
\(97\) 1.36894 + 6.29292i 0.138995 + 0.638949i 0.992943 + 0.118591i \(0.0378378\pi\)
−0.853948 + 0.520358i \(0.825799\pi\)
\(98\) 0.391808 5.47819i 0.0395786 0.553381i
\(99\) 0.357496 + 2.48644i 0.0359297 + 0.249897i
\(100\) −3.61767 + 3.45144i −0.361767 + 0.345144i
\(101\) −7.95674 + 5.11349i −0.791725 + 0.508811i −0.872906 0.487889i \(-0.837767\pi\)
0.0811808 + 0.996699i \(0.474131\pi\)
\(102\) −4.66140 + 3.48948i −0.461547 + 0.345510i
\(103\) 0.807867 + 2.16597i 0.0796015 + 0.213420i 0.970654 0.240480i \(-0.0773050\pi\)
−0.891053 + 0.453900i \(0.850032\pi\)
\(104\) 6.21864 + 2.83996i 0.609788 + 0.278481i
\(105\) −4.88223 2.08986i −0.476457 0.203949i
\(106\) 5.68568 + 8.84709i 0.552242 + 0.859305i
\(107\) −0.459167 0.840901i −0.0443893 0.0812930i 0.854543 0.519381i \(-0.173838\pi\)
−0.898932 + 0.438088i \(0.855656\pi\)
\(108\) −2.61840 + 3.49778i −0.251956 + 0.336574i
\(109\) 2.27494 + 2.62542i 0.217900 + 0.251470i 0.854167 0.519999i \(-0.174068\pi\)
−0.636267 + 0.771469i \(0.719522\pi\)
\(110\) −0.359583 + 7.57166i −0.0342849 + 0.721929i
\(111\) 9.79070 + 8.48369i 0.929293 + 0.805237i
\(112\) −1.07773 0.588484i −0.101836 0.0556065i
\(113\) 7.31563 + 2.72859i 0.688197 + 0.256684i 0.669142 0.743134i \(-0.266662\pi\)
0.0190545 + 0.999818i \(0.493934\pi\)
\(114\) −5.55933 −0.520679
\(115\) −10.4556 2.38358i −0.974985 0.222270i
\(116\) −5.29122 −0.491277
\(117\) −4.74648 1.77035i −0.438812 0.163669i
\(118\) 6.79921 + 3.71265i 0.625918 + 0.341777i
\(119\) −2.79376 2.42081i −0.256104 0.221915i
\(120\) 3.19982 2.90968i 0.292102 0.265616i
\(121\) 0.322105 + 0.371729i 0.0292823 + 0.0337936i
\(122\) −1.49808 + 2.00120i −0.135630 + 0.181181i
\(123\) 2.57916 + 4.72337i 0.232555 + 0.425892i
\(124\) −3.34048 5.19788i −0.299984 0.466784i
\(125\) 8.94741 6.70402i 0.800281 0.599626i
\(126\) 0.827685 + 0.377991i 0.0737360 + 0.0336741i
\(127\) 2.12418 + 5.69516i 0.188491 + 0.505363i 0.996480 0.0838343i \(-0.0267167\pi\)
−0.807989 + 0.589198i \(0.799444\pi\)
\(128\) 0.800541 0.599278i 0.0707585 0.0529692i
\(129\) −13.7211 + 8.81801i −1.20807 + 0.776382i
\(130\) −13.0542 7.95436i −1.14493 0.697644i
\(131\) −0.343618 2.38992i −0.0300220 0.208808i 0.969289 0.245925i \(-0.0790917\pi\)
−0.999311 + 0.0371170i \(0.988183\pi\)
\(132\) 0.467755 6.54006i 0.0407128 0.569239i
\(133\) −0.750229 3.44875i −0.0650531 0.299044i
\(134\) 6.00268 6.92746i 0.518552 0.598441i
\(135\) 6.74103 7.07184i 0.580175 0.608647i
\(136\) 2.73844 1.25060i 0.234820 0.107238i
\(137\) −11.5177 11.5177i −0.984027 0.984027i 0.0158474 0.999874i \(-0.494955\pi\)
−0.999874 + 0.0158474i \(0.994955\pi\)
\(138\) 8.99196 + 2.27771i 0.765446 + 0.193892i
\(139\) 2.36411i 0.200522i −0.994961 0.100261i \(-0.968032\pi\)
0.994961 0.100261i \(-0.0319677\pi\)
\(140\) 2.23684 + 1.59236i 0.189048 + 0.134579i
\(141\) −15.2052 + 4.46466i −1.28051 + 0.375992i
\(142\) 0.300503 + 4.20158i 0.0252177 + 0.352589i
\(143\) −22.6457 + 4.92626i −1.89372 + 0.411955i
\(144\) −0.560020 + 0.485260i −0.0466683 + 0.0404383i
\(145\) 11.7481 + 1.40293i 0.975623 + 0.116507i
\(146\) −0.740157 0.217330i −0.0612558 0.0179863i
\(147\) 2.25804 10.3801i 0.186240 0.856133i
\(148\) −4.01393 5.36198i −0.329943 0.440752i
\(149\) 7.08181 15.5070i 0.580164 1.27038i −0.361042 0.932550i \(-0.617579\pi\)
0.941206 0.337833i \(-0.109694\pi\)
\(150\) −7.87601 + 5.61193i −0.643074 + 0.458212i
\(151\) −1.51690 + 10.5503i −0.123443 + 0.858568i 0.830165 + 0.557518i \(0.188246\pi\)
−0.953608 + 0.301050i \(0.902663\pi\)
\(152\) 2.80859 + 0.610971i 0.227807 + 0.0495563i
\(153\) −1.95794 + 1.06912i −0.158290 + 0.0864329i
\(154\) 4.12027 0.592406i 0.332021 0.0477374i
\(155\) 6.03866 + 12.4265i 0.485037 + 0.998122i
\(156\) 11.1237 + 7.14880i 0.890613 + 0.572362i
\(157\) −19.7227 + 1.41059i −1.57404 + 0.112578i −0.830848 0.556500i \(-0.812144\pi\)
−0.743193 + 0.669077i \(0.766689\pi\)
\(158\) 1.85716 3.40114i 0.147748 0.270580i
\(159\) 8.44987 + 18.5026i 0.670118 + 1.46735i
\(160\) −1.93633 + 1.11831i −0.153080 + 0.0884105i
\(161\) −0.199523 + 5.88556i −0.0157247 + 0.463847i
\(162\) −7.54761 + 7.54761i −0.592997 + 0.592997i
\(163\) −4.29560 + 11.5169i −0.336457 + 0.902077i 0.653014 + 0.757346i \(0.273504\pi\)
−0.989471 + 0.144731i \(0.953768\pi\)
\(164\) −0.783897 2.66971i −0.0612121 0.208469i
\(165\) −2.77260 + 14.3968i −0.215847 + 1.12079i
\(166\) 6.53966 10.1759i 0.507576 0.789804i
\(167\) 25.1992 + 1.80228i 1.94997 + 0.139465i 0.990043 0.140768i \(-0.0449572\pi\)
0.959932 + 0.280233i \(0.0904118\pi\)
\(168\) −1.90131 1.42330i −0.146689 0.109810i
\(169\) 9.50477 32.3703i 0.731136 2.49002i
\(170\) −6.41173 + 2.05063i −0.491757 + 0.157276i
\(171\) −2.10819 0.303113i −0.161218 0.0231796i
\(172\) 7.90102 2.94693i 0.602447 0.224701i
\(173\) 14.2724 5.32333i 1.08511 0.404725i 0.257644 0.966240i \(-0.417054\pi\)
0.827467 + 0.561515i \(0.189781\pi\)
\(174\) −10.1299 1.45647i −0.767949 0.110414i
\(175\) −4.54424 4.12858i −0.343512 0.312091i
\(176\) −0.955064 + 3.25265i −0.0719906 + 0.245178i
\(177\) 11.9950 + 8.97936i 0.901601 + 0.674930i
\(178\) 11.1970 + 0.800827i 0.839252 + 0.0600245i
\(179\) 8.47074 13.1807i 0.633133 0.985174i −0.365391 0.930854i \(-0.619065\pi\)
0.998524 0.0543197i \(-0.0172990\pi\)
\(180\) 1.37207 0.928935i 0.102268 0.0692387i
\(181\) 0.978450 + 3.33229i 0.0727276 + 0.247687i 0.987831 0.155532i \(-0.0497092\pi\)
−0.915103 + 0.403220i \(0.867891\pi\)
\(182\) −2.93363 + 7.86538i −0.217455 + 0.583021i
\(183\) −3.41891 + 3.41891i −0.252733 + 0.252733i
\(184\) −4.29244 2.13892i −0.316443 0.157683i
\(185\) 7.49041 + 12.9694i 0.550706 + 0.953531i
\(186\) −4.96451 10.8708i −0.364016 0.797083i
\(187\) −4.89096 + 8.95713i −0.357663 + 0.655010i
\(188\) 8.17239 0.584501i 0.596033 0.0426291i
\(189\) −4.51345 2.90062i −0.328305 0.210989i
\(190\) −6.07389 2.10121i −0.440646 0.152438i
\(191\) 5.15843 0.741671i 0.373251 0.0536654i 0.0468632 0.998901i \(-0.485078\pi\)
0.326388 + 0.945236i \(0.394168\pi\)
\(192\) 1.69758 0.926949i 0.122512 0.0668968i
\(193\) 9.98077 + 2.17118i 0.718431 + 0.156285i 0.556897 0.830582i \(-0.311992\pi\)
0.161535 + 0.986867i \(0.448356\pi\)
\(194\) 0.916521 6.37454i 0.0658023 0.457665i
\(195\) −22.8025 18.8218i −1.63292 1.34786i
\(196\) −2.28154 + 4.99587i −0.162967 + 0.356848i
\(197\) −7.65502 10.2259i −0.545398 0.728566i 0.440158 0.897921i \(-0.354923\pi\)
−0.985555 + 0.169355i \(0.945832\pi\)
\(198\) 0.533966 2.45460i 0.0379473 0.174441i
\(199\) −12.5975 3.69896i −0.893013 0.262212i −0.197138 0.980376i \(-0.563165\pi\)
−0.695874 + 0.718164i \(0.744983\pi\)
\(200\) 4.59573 1.96958i 0.324967 0.139271i
\(201\) 13.3989 11.6102i 0.945084 0.818920i
\(202\) 9.24205 2.01048i 0.650268 0.141457i
\(203\) −0.463508 6.48069i −0.0325319 0.454855i
\(204\) 5.58694 1.64047i 0.391164 0.114856i
\(205\) 1.03263 + 6.13538i 0.0721219 + 0.428513i
\(206\) 2.31173i 0.161066i
\(207\) 3.28572 + 1.35402i 0.228373 + 0.0941107i
\(208\) −4.83409 4.83409i −0.335184 0.335184i
\(209\) −8.86317 + 4.04768i −0.613078 + 0.279984i
\(210\) 3.84408 + 3.66426i 0.265267 + 0.252858i
\(211\) −7.81515 + 9.01916i −0.538017 + 0.620905i −0.958049 0.286605i \(-0.907473\pi\)
0.420032 + 0.907509i \(0.362019\pi\)
\(212\) −2.23545 10.2762i −0.153532 0.705773i
\(213\) −0.581224 + 8.12658i −0.0398248 + 0.556824i
\(214\) 0.136351 + 0.948344i 0.00932078 + 0.0648275i
\(215\) −18.3239 + 4.44815i −1.24968 + 0.303361i
\(216\) 3.67566 2.36220i 0.250097 0.160728i
\(217\) 6.07375 4.54675i 0.412313 0.308654i
\(218\) −1.21402 3.25490i −0.0822235 0.220450i
\(219\) −1.35720 0.619810i −0.0917108 0.0418829i
\(220\) 2.98294 6.96860i 0.201109 0.469823i
\(221\) −11.1270 17.3139i −0.748480 1.16466i
\(222\) −6.20865 11.3703i −0.416697 0.763124i
\(223\) 15.4764 20.6740i 1.03637 1.38443i 0.116064 0.993242i \(-0.462972\pi\)
0.920309 0.391191i \(-0.127937\pi\)
\(224\) 0.804123 + 0.928008i 0.0537277 + 0.0620051i
\(225\) −3.29270 + 1.69871i −0.219513 + 0.113248i
\(226\) −5.90083 5.11310i −0.392518 0.340119i
\(227\) −16.5910 9.05939i −1.10119 0.601293i −0.177375 0.984143i \(-0.556761\pi\)
−0.923810 + 0.382851i \(0.874942\pi\)
\(228\) 5.20882 + 1.94279i 0.344962 + 0.128664i
\(229\) 16.1141 1.06485 0.532425 0.846477i \(-0.321281\pi\)
0.532425 + 0.846477i \(0.321281\pi\)
\(230\) 8.96335 + 5.88714i 0.591026 + 0.388186i
\(231\) 8.05125 0.529734
\(232\) 4.95761 + 1.84909i 0.325483 + 0.121399i
\(233\) −18.5433 10.1254i −1.21481 0.663338i −0.261466 0.965213i \(-0.584206\pi\)
−0.953348 + 0.301875i \(0.902388\pi\)
\(234\) 3.82854 + 3.31745i 0.250280 + 0.216868i
\(235\) −18.3001 0.869082i −1.19376 0.0566926i
\(236\) −5.07308 5.85464i −0.330229 0.381105i
\(237\) 4.49170 6.00021i 0.291767 0.389756i
\(238\) 1.77163 + 3.24450i 0.114838 + 0.210309i
\(239\) 6.52812 + 10.1580i 0.422269 + 0.657064i 0.985586 0.169178i \(-0.0541111\pi\)
−0.563316 + 0.826241i \(0.690475\pi\)
\(240\) −4.01490 + 1.60800i −0.259161 + 0.103796i
\(241\) 10.8647 + 4.96172i 0.699854 + 0.319613i 0.733374 0.679825i \(-0.237944\pi\)
−0.0335197 + 0.999438i \(0.510672\pi\)
\(242\) −0.171890 0.460856i −0.0110495 0.0296249i
\(243\) −6.03401 + 4.51700i −0.387082 + 0.289766i
\(244\) 2.10298 1.35150i 0.134629 0.0865210i
\(245\) 6.39030 10.4874i 0.408261 0.670013i
\(246\) −0.765891 5.32689i −0.0488314 0.339630i
\(247\) 1.40180 19.5997i 0.0891944 1.24710i
\(248\) 1.31338 + 6.03753i 0.0834000 + 0.383384i
\(249\) 15.3211 17.6815i 0.970935 1.12052i
\(250\) −10.7261 + 3.15453i −0.678377 + 0.199510i
\(251\) −0.919601 + 0.419968i −0.0580447 + 0.0265081i −0.444226 0.895915i \(-0.646521\pi\)
0.386181 + 0.922423i \(0.373794\pi\)
\(252\) −0.643405 0.643405i −0.0405307 0.0405307i
\(253\) 15.9941 2.91560i 1.00554 0.183302i
\(254\) 6.07840i 0.381393i
\(255\) −12.8396 + 2.16100i −0.804048 + 0.135327i
\(256\) −0.959493 + 0.281733i −0.0599683 + 0.0176083i
\(257\) 0.655430 + 9.16410i 0.0408846 + 0.571641i 0.976066 + 0.217473i \(0.0697814\pi\)
−0.935182 + 0.354168i \(0.884764\pi\)
\(258\) 15.9375 3.46700i 0.992228 0.215846i
\(259\) 6.21574 5.38597i 0.386227 0.334668i
\(260\) 9.45137 + 12.0148i 0.586149 + 0.745127i
\(261\) −3.76204 1.10463i −0.232864 0.0683751i
\(262\) −0.513237 + 2.35931i −0.0317079 + 0.145759i
\(263\) 4.30463 + 5.75031i 0.265435 + 0.354579i 0.913380 0.407107i \(-0.133463\pi\)
−0.647946 + 0.761687i \(0.724372\pi\)
\(264\) −2.72378 + 5.96425i −0.167637 + 0.367074i
\(265\) 2.23870 + 23.4089i 0.137522 + 1.43800i
\(266\) −0.502287 + 3.49348i −0.0307972 + 0.214199i
\(267\) 21.2161 + 4.61527i 1.29840 + 0.282450i
\(268\) −8.04510 + 4.39296i −0.491433 + 0.268343i
\(269\) 7.47323 1.07449i 0.455651 0.0655127i 0.0893315 0.996002i \(-0.471527\pi\)
0.366319 + 0.930489i \(0.380618\pi\)
\(270\) −8.78736 + 4.27021i −0.534782 + 0.259877i
\(271\) −17.8817 11.4919i −1.08624 0.698083i −0.130248 0.991481i \(-0.541577\pi\)
−0.955990 + 0.293399i \(0.905214\pi\)
\(272\) −3.00282 + 0.214766i −0.182073 + 0.0130221i
\(273\) −7.78142 + 14.2506i −0.470953 + 0.862487i
\(274\) 6.76651 + 14.8166i 0.408780 + 0.895102i
\(275\) −8.47066 + 14.6814i −0.510800 + 0.885324i
\(276\) −7.62904 5.27647i −0.459214 0.317606i
\(277\) −18.4280 + 18.4280i −1.10723 + 1.10723i −0.113720 + 0.993513i \(0.536277\pi\)
−0.993513 + 0.113720i \(0.963723\pi\)
\(278\) −0.826173 + 2.21506i −0.0495506 + 0.132850i
\(279\) −1.28992 4.39306i −0.0772254 0.263006i
\(280\) −1.53933 2.27366i −0.0919929 0.135877i
\(281\) −14.0624 + 21.8815i −0.838890 + 1.30534i 0.111338 + 0.993783i \(0.464486\pi\)
−0.950228 + 0.311556i \(0.899150\pi\)
\(282\) 15.8068 + 1.13052i 0.941280 + 0.0673217i
\(283\) 22.1937 + 16.6140i 1.31928 + 0.987601i 0.999191 + 0.0402131i \(0.0128037\pi\)
0.320089 + 0.947388i \(0.396287\pi\)
\(284\) 1.18675 4.04169i 0.0704205 0.239830i
\(285\) −11.0500 5.69463i −0.654544 0.337321i
\(286\) 22.9394 + 3.29819i 1.35643 + 0.195026i
\(287\) 3.20119 1.19398i 0.188961 0.0704786i
\(288\) 0.694292 0.258957i 0.0409115 0.0152592i
\(289\) 7.85613 + 1.12954i 0.462125 + 0.0664436i
\(290\) −10.5171 5.41999i −0.617583 0.318273i
\(291\) 3.50933 11.9517i 0.205720 0.700619i
\(292\) 0.617541 + 0.462285i 0.0361388 + 0.0270532i
\(293\) −28.1843 2.01578i −1.64654 0.117763i −0.782995 0.622029i \(-0.786309\pi\)
−0.863549 + 0.504266i \(0.831763\pi\)
\(294\) −5.74313 + 8.93649i −0.334946 + 0.521187i
\(295\) 9.71140 + 14.3441i 0.565420 + 0.835146i
\(296\) 1.88703 + 6.42663i 0.109681 + 0.373540i
\(297\) −5.17614 + 13.8778i −0.300350 + 0.805270i
\(298\) −12.0544 + 12.0544i −0.698295 + 0.698295i
\(299\) −10.2975 + 31.1273i −0.595522 + 1.80014i
\(300\) 9.34060 2.50571i 0.539280 0.144667i
\(301\) 4.30153 + 9.41903i 0.247936 + 0.542904i
\(302\) 5.10820 9.35496i 0.293944 0.538318i
\(303\) 18.2471 1.30506i 1.04827 0.0749738i
\(304\) −2.41799 1.55395i −0.138681 0.0891251i
\(305\) −5.02757 + 2.44314i −0.287878 + 0.139894i
\(306\) 2.20811 0.317478i 0.126229 0.0181490i
\(307\) 17.9666 9.81051i 1.02541 0.559916i 0.123727 0.992316i \(-0.460515\pi\)
0.901682 + 0.432401i \(0.142333\pi\)
\(308\) −4.06751 0.884833i −0.231768 0.0504180i
\(309\) 0.636329 4.42577i 0.0361995 0.251773i
\(310\) −1.31529 13.7533i −0.0747037 0.781136i
\(311\) −5.98405 + 13.1032i −0.339324 + 0.743017i −0.999971 0.00768068i \(-0.997555\pi\)
0.660646 + 0.750698i \(0.270282\pi\)
\(312\) −7.92414 10.5854i −0.448616 0.599281i
\(313\) −5.25270 + 24.1463i −0.296900 + 1.36483i 0.550926 + 0.834554i \(0.314275\pi\)
−0.847826 + 0.530274i \(0.822089\pi\)
\(314\) 18.9721 + 5.57071i 1.07066 + 0.314373i
\(315\) 1.25795 + 1.59914i 0.0708776 + 0.0901014i
\(316\) −2.92864 + 2.53768i −0.164749 + 0.142756i
\(317\) 14.5685 3.16918i 0.818248 0.177999i 0.216088 0.976374i \(-0.430670\pi\)
0.602161 + 0.798375i \(0.294307\pi\)
\(318\) −1.45110 20.2890i −0.0813734 1.13775i
\(319\) −17.2105 + 5.05345i −0.963602 + 0.282939i
\(320\) 2.20505 0.371127i 0.123266 0.0207466i
\(321\) 1.85312i 0.103431i
\(322\) 2.24374 5.44475i 0.125039 0.303424i
\(323\) −6.11859 6.11859i −0.340447 0.340447i
\(324\) 9.70936 4.43411i 0.539409 0.246340i
\(325\) −17.7992 29.1824i −0.987321 1.61875i
\(326\) 8.04952 9.28964i 0.445822 0.514506i
\(327\) −1.42826 6.56562i −0.0789832 0.363080i
\(328\) −0.198495 + 2.77533i −0.0109601 + 0.153242i
\(329\) 1.43179 + 9.95835i 0.0789374 + 0.549022i
\(330\) 7.62896 12.5202i 0.419961 0.689214i
\(331\) 17.3472 11.1484i 0.953487 0.612769i 0.0312988 0.999510i \(-0.490036\pi\)
0.922188 + 0.386741i \(0.126399\pi\)
\(332\) −9.68345 + 7.24894i −0.531448 + 0.397837i
\(333\) −1.73448 4.65033i −0.0950490 0.254836i
\(334\) −22.9806 10.4949i −1.25744 0.574254i
\(335\) 19.0272 7.62056i 1.03957 0.416356i
\(336\) 1.28404 + 1.99800i 0.0700499 + 0.109000i
\(337\) 3.18001 + 5.82375i 0.173226 + 0.317240i 0.949840 0.312738i \(-0.101246\pi\)
−0.776614 + 0.629977i \(0.783064\pi\)
\(338\) −20.2177 + 27.0077i −1.09970 + 1.46903i
\(339\) −9.88961 11.4132i −0.537130 0.619881i
\(340\) 6.72409 + 0.319331i 0.364665 + 0.0173182i
\(341\) −15.8297 13.7165i −0.857227 0.742791i
\(342\) 1.86935 + 1.02074i 0.101083 + 0.0551953i
\(343\) −14.3724 5.36062i −0.776035 0.289446i
\(344\) −8.43271 −0.454661
\(345\) 15.5397 + 13.7381i 0.836628 + 0.739633i
\(346\) −15.2328 −0.818922
\(347\) 9.31595 + 3.47467i 0.500106 + 0.186530i 0.586842 0.809701i \(-0.300371\pi\)
−0.0867358 + 0.996231i \(0.527644\pi\)
\(348\) 8.98227 + 4.90469i 0.481500 + 0.262919i
\(349\) −5.68455 4.92569i −0.304287 0.263666i 0.489310 0.872110i \(-0.337249\pi\)
−0.793597 + 0.608444i \(0.791794\pi\)
\(350\) 2.81493 + 5.45632i 0.150464 + 0.291653i
\(351\) −19.5608 22.5744i −1.04408 1.20493i
\(352\) 2.03153 2.71381i 0.108281 0.144646i
\(353\) 11.6693 + 21.3708i 0.621097 + 1.13745i 0.979032 + 0.203707i \(0.0652990\pi\)
−0.357935 + 0.933746i \(0.616519\pi\)
\(354\) −8.10076 12.6050i −0.430551 0.669950i
\(355\) −3.70655 + 8.65908i −0.196723 + 0.459576i
\(356\) −10.2112 4.66329i −0.541192 0.247154i
\(357\) 2.49867 + 6.69919i 0.132244 + 0.354559i
\(358\) −12.5429 + 9.38946i −0.662910 + 0.496248i
\(359\) −13.4835 + 8.66533i −0.711633 + 0.457339i −0.845717 0.533631i \(-0.820827\pi\)
0.134084 + 0.990970i \(0.457191\pi\)
\(360\) −1.61019 + 0.390875i −0.0848645 + 0.0206009i
\(361\) 1.52826 + 10.6292i 0.0804345 + 0.559434i
\(362\) 0.247759 3.46413i 0.0130219 0.182070i
\(363\) −0.202225 0.929615i −0.0106141 0.0487921i
\(364\) 5.49734 6.34426i 0.288139 0.332530i
\(365\) −1.24855 1.19014i −0.0653521 0.0622950i
\(366\) 4.39813 2.00856i 0.229894 0.104989i
\(367\) −13.8234 13.8234i −0.721574 0.721574i 0.247352 0.968926i \(-0.420440\pi\)
−0.968926 + 0.247352i \(0.920440\pi\)
\(368\) 3.27432 + 3.50411i 0.170686 + 0.182665i
\(369\) 2.06181i 0.107333i
\(370\) −2.48579 14.7693i −0.129230 0.767821i
\(371\) 12.3905 3.63818i 0.643283 0.188885i
\(372\) 0.852555 + 11.9203i 0.0442029 + 0.618038i
\(373\) 28.6578 6.23412i 1.48384 0.322791i 0.603591 0.797294i \(-0.293736\pi\)
0.880254 + 0.474504i \(0.157372\pi\)
\(374\) 7.71278 6.68317i 0.398819 0.345578i
\(375\) −21.4032 + 3.08682i −1.10526 + 0.159403i
\(376\) −7.86138 2.30831i −0.405420 0.119042i
\(377\) 7.68914 35.3464i 0.396011 1.82043i
\(378\) 3.21522 + 4.29503i 0.165373 + 0.220912i
\(379\) −1.51456 + 3.31643i −0.0777979 + 0.170354i −0.944534 0.328413i \(-0.893486\pi\)
0.866736 + 0.498767i \(0.166214\pi\)
\(380\) 4.95663 + 4.09134i 0.254270 + 0.209881i
\(381\) 1.67315 11.6370i 0.0857179 0.596181i
\(382\) −5.09238 1.10778i −0.260549 0.0566789i
\(383\) −22.4606 + 12.2644i −1.14768 + 0.626682i −0.936466 0.350758i \(-0.885924\pi\)
−0.211216 + 0.977440i \(0.567742\pi\)
\(384\) −1.91448 + 0.275261i −0.0976980 + 0.0140469i
\(385\) 8.79646 + 3.04306i 0.448309 + 0.155089i
\(386\) −8.59273 5.52221i −0.437358 0.281073i
\(387\) 6.23282 0.445780i 0.316832 0.0226603i
\(388\) −3.08641 + 5.65233i −0.156689 + 0.286954i
\(389\) 8.13773 + 17.8191i 0.412599 + 0.903466i 0.995836 + 0.0911640i \(0.0290587\pi\)
−0.583237 + 0.812302i \(0.698214\pi\)
\(390\) 14.7873 + 25.6038i 0.748783 + 1.29650i
\(391\) 7.38968 + 12.4034i 0.373712 + 0.627265i
\(392\) 3.88356 3.88356i 0.196150 0.196150i
\(393\) −1.63201 + 4.37559i −0.0823241 + 0.220719i
\(394\) 3.59878 + 12.2563i 0.181304 + 0.617464i
\(395\) 7.17529 4.85789i 0.361028 0.244427i
\(396\) −1.35809 + 2.11324i −0.0682468 + 0.106194i
\(397\) −10.1587 0.726566i −0.509851 0.0364653i −0.185956 0.982558i \(-0.559538\pi\)
−0.323896 + 0.946093i \(0.604993\pi\)
\(398\) 10.5106 + 7.86811i 0.526847 + 0.394393i
\(399\) −1.92324 + 6.54995i −0.0962824 + 0.327908i
\(400\) −4.99427 + 0.239357i −0.249713 + 0.0119679i
\(401\) 4.96565 + 0.713952i 0.247973 + 0.0356531i 0.265180 0.964199i \(-0.414569\pi\)
−0.0172077 + 0.999852i \(0.505478\pi\)
\(402\) −16.6114 + 6.19574i −0.828502 + 0.309015i
\(403\) 39.5773 14.7616i 1.97148 0.735325i
\(404\) −9.36192 1.34604i −0.465773 0.0669681i
\(405\) −22.7333 + 7.27067i −1.12963 + 0.361283i
\(406\) −1.83049 + 6.23406i −0.0908455 + 0.309391i
\(407\) −18.1769 13.6071i −0.900997 0.674478i
\(408\) −5.80797 0.415394i −0.287538 0.0205651i
\(409\) 15.0034 23.3458i 0.741872 1.15437i −0.241079 0.970505i \(-0.577501\pi\)
0.982951 0.183869i \(-0.0588623\pi\)
\(410\) 1.17657 6.10941i 0.0581068 0.301722i
\(411\) 8.87593 + 30.2286i 0.437817 + 1.49107i
\(412\) −0.807867 + 2.16597i −0.0398007 + 0.106710i
\(413\) 6.72638 6.72638i 0.330983 0.330983i
\(414\) −2.60537 2.41689i −0.128047 0.118783i
\(415\) 23.4221 13.5273i 1.14975 0.664028i
\(416\) 2.83996 + 6.21864i 0.139240 + 0.304894i
\(417\) −2.19141 + 4.01327i −0.107314 + 0.196531i
\(418\) 9.71886 0.695107i 0.475365 0.0339988i
\(419\) −9.79338 6.29382i −0.478438 0.307473i 0.279103 0.960261i \(-0.409963\pi\)
−0.757541 + 0.652788i \(0.773599\pi\)
\(420\) −2.32118 4.77659i −0.113262 0.233074i
\(421\) −15.7117 + 2.25899i −0.765739 + 0.110097i −0.514107 0.857726i \(-0.671876\pi\)
−0.251632 + 0.967823i \(0.580967\pi\)
\(422\) 10.4743 5.71938i 0.509880 0.278415i
\(423\) 5.93256 + 1.29055i 0.288451 + 0.0627487i
\(424\) −1.49666 + 10.4095i −0.0726843 + 0.505530i
\(425\) −14.8448 2.49185i −0.720078 0.120872i
\(426\) 3.38453 7.41108i 0.163981 0.359068i
\(427\) 1.83954 + 2.45734i 0.0890216 + 0.118919i
\(428\) 0.203658 0.936201i 0.00984418 0.0452530i
\(429\) 43.0092 + 12.6286i 2.07650 + 0.609717i
\(430\) 18.7231 + 2.23587i 0.902907 + 0.107823i
\(431\) −11.3614 + 9.84467i −0.547257 + 0.474201i −0.884060 0.467374i \(-0.845200\pi\)
0.336802 + 0.941575i \(0.390655\pi\)
\(432\) −4.26941 + 0.928754i −0.205412 + 0.0446847i
\(433\) 0.139823 + 1.95499i 0.00671949 + 0.0939507i 0.999705 0.0242847i \(-0.00773081\pi\)
−0.992986 + 0.118235i \(0.962276\pi\)
\(434\) −7.27973 + 2.13752i −0.349438 + 0.102604i
\(435\) −18.6428 13.2714i −0.893855 0.636316i
\(436\) 3.47393i 0.166371i
\(437\) −1.44866 + 13.7082i −0.0692987 + 0.655752i
\(438\) 1.05502 + 1.05502i 0.0504109 + 0.0504109i
\(439\) 20.0871 9.17346i 0.958704 0.437825i 0.126298 0.991992i \(-0.459690\pi\)
0.832406 + 0.554167i \(0.186963\pi\)
\(440\) −5.23014 + 5.48680i −0.249337 + 0.261573i
\(441\) −2.66514 + 3.07574i −0.126911 + 0.146464i
\(442\) 4.37482 + 20.1107i 0.208089 + 0.956569i
\(443\) 0.872890 12.2046i 0.0414722 0.579858i −0.933650 0.358188i \(-0.883395\pi\)
0.975122 0.221670i \(-0.0711507\pi\)
\(444\) 1.84368 + 12.8231i 0.0874973 + 0.608557i
\(445\) 21.4354 + 13.0613i 1.01613 + 0.619165i
\(446\) −21.7254 + 13.9621i −1.02873 + 0.661123i
\(447\) −26.3961 + 19.7599i −1.24849 + 0.934611i
\(448\) −0.429118 1.15051i −0.0202739 0.0543564i
\(449\) −29.4535 13.4510i −1.39000 0.634790i −0.426987 0.904258i \(-0.640425\pi\)
−0.963009 + 0.269468i \(0.913152\pi\)
\(450\) 3.67873 0.440928i 0.173417 0.0207855i
\(451\) −5.09948 7.93495i −0.240125 0.373642i
\(452\) 3.74194 + 6.85285i 0.176006 + 0.322331i
\(453\) 12.3546 16.5038i 0.580470 0.775417i
\(454\) 12.3790 + 14.2862i 0.580977 + 0.670483i
\(455\) −13.8878 + 12.6285i −0.651071 + 0.592035i
\(456\) −4.20146 3.64059i −0.196752 0.170486i
\(457\) 16.8155 + 9.18193i 0.786594 + 0.429513i 0.821735 0.569870i \(-0.193006\pi\)
−0.0351413 + 0.999382i \(0.511188\pi\)
\(458\) −15.0981 5.63130i −0.705488 0.263133i
\(459\) −13.1537 −0.613960
\(460\) −6.34086 8.64832i −0.295644 0.403230i
\(461\) 3.60200 0.167762 0.0838809 0.996476i \(-0.473268\pi\)
0.0838809 + 0.996476i \(0.473268\pi\)
\(462\) −7.54362 2.81362i −0.350961 0.130902i
\(463\) −32.5481 17.7726i −1.51264 0.825963i −0.513160 0.858293i \(-0.671525\pi\)
−0.999477 + 0.0323300i \(0.989707\pi\)
\(464\) −3.99884 3.46501i −0.185641 0.160859i
\(465\) 1.26765 26.6925i 0.0587857 1.23784i
\(466\) 13.8357 + 15.9672i 0.640926 + 0.739668i
\(467\) 9.73712 13.0073i 0.450580 0.601905i −0.516528 0.856270i \(-0.672776\pi\)
0.967108 + 0.254366i \(0.0818667\pi\)
\(468\) −2.42782 4.44622i −0.112226 0.205527i
\(469\) −6.08525 9.46883i −0.280991 0.437230i
\(470\) 16.8425 + 7.20950i 0.776888 + 0.332550i
\(471\) 34.7884 + 15.8873i 1.60296 + 0.732049i
\(472\) 2.70723 + 7.25837i 0.124610 + 0.334093i
\(473\) 22.8847 17.1313i 1.05224 0.787698i
\(474\) −6.30536 + 4.05221i −0.289615 + 0.186124i
\(475\) −9.92039 10.3982i −0.455179 0.477101i
\(476\) −0.526092 3.65905i −0.0241134 0.167712i
\(477\) 0.555939 7.77304i 0.0254547 0.355903i
\(478\) −2.56668 11.7988i −0.117397 0.539667i
\(479\) −7.69236 + 8.87745i −0.351473 + 0.405621i −0.903765 0.428030i \(-0.859208\pi\)
0.552292 + 0.833651i \(0.313753\pi\)
\(480\) 4.32370 0.103550i 0.197349 0.00472639i
\(481\) 41.6521 19.0219i 1.89917 0.867323i
\(482\) −8.44570 8.44570i −0.384691 0.384691i
\(483\) 5.79432 9.80627i 0.263651 0.446201i
\(484\) 0.491868i 0.0223576i
\(485\) 8.35140 11.7315i 0.379218 0.532700i
\(486\) 7.23210 2.12353i 0.328055 0.0963255i
\(487\) −1.16504 16.2893i −0.0527929 0.738141i −0.953056 0.302794i \(-0.902080\pi\)
0.900263 0.435346i \(-0.143374\pi\)
\(488\) −2.44269 + 0.531374i −0.110575 + 0.0240542i
\(489\) 17.9677 15.5691i 0.812530 0.704061i
\(490\) −9.65234 + 7.59295i −0.436048 + 0.343015i
\(491\) 37.4107 + 10.9848i 1.68832 + 0.495736i 0.978081 0.208223i \(-0.0667679\pi\)
0.710241 + 0.703959i \(0.248586\pi\)
\(492\) −1.14396 + 5.25868i −0.0515735 + 0.237079i
\(493\) −9.54601 12.7520i −0.429931 0.574320i
\(494\) −8.16282 + 17.8741i −0.367262 + 0.804193i
\(495\) 3.57567 4.33191i 0.160715 0.194705i
\(496\) 0.879326 6.11585i 0.0394829 0.274610i
\(497\) 5.05422 + 1.09948i 0.226713 + 0.0493184i
\(498\) −20.5342 + 11.2125i −0.920157 + 0.502444i
\(499\) 17.6253 2.53413i 0.789016 0.113443i 0.263985 0.964527i \(-0.414963\pi\)
0.525031 + 0.851083i \(0.324054\pi\)
\(500\) 11.1522 + 0.792748i 0.498742 + 0.0354528i
\(501\) −41.1071 26.4179i −1.83653 1.18027i
\(502\) 1.00838 0.0721210i 0.0450063 0.00321892i
\(503\) 3.40276 6.23170i 0.151722 0.277858i −0.790753 0.612136i \(-0.790311\pi\)
0.942475 + 0.334278i \(0.108492\pi\)
\(504\) 0.377991 + 0.827685i 0.0168371 + 0.0368680i
\(505\) 20.4293 + 5.47085i 0.909093 + 0.243449i
\(506\) −16.0046 2.85761i −0.711491 0.127036i
\(507\) −46.1407 + 46.1407i −2.04918 + 2.04918i
\(508\) −2.12418 + 5.69516i −0.0942454 + 0.252682i
\(509\) 3.19265 + 10.8732i 0.141512 + 0.481944i 0.999496 0.0317306i \(-0.0101019\pi\)
−0.857985 + 0.513675i \(0.828284\pi\)
\(510\) 12.7853 + 2.46224i 0.566141 + 0.109030i
\(511\) −0.512111 + 0.796861i −0.0226545 + 0.0352511i
\(512\) 0.997452 + 0.0713392i 0.0440816 + 0.00315278i
\(513\) −10.0536 7.52601i −0.443876 0.332281i
\(514\) 2.58842 8.81535i 0.114170 0.388829i
\(515\) 2.36799 4.59490i 0.104346 0.202475i
\(516\) −16.1443 2.32120i −0.710712 0.102185i
\(517\) 26.0237 9.70632i 1.14452 0.426884i
\(518\) −7.70604 + 2.87420i −0.338584 + 0.126285i
\(519\) −29.1630 4.19301i −1.28011 0.184053i
\(520\) −4.65671 14.5602i −0.204210 0.638507i
\(521\) 2.48744 8.47144i 0.108977 0.371141i −0.886889 0.461984i \(-0.847138\pi\)
0.995865 + 0.0908429i \(0.0289561\pi\)
\(522\) 3.13881 + 2.34968i 0.137382 + 0.102843i
\(523\) −23.7469 1.69841i −1.03838 0.0742664i −0.458277 0.888809i \(-0.651533\pi\)
−0.580103 + 0.814543i \(0.696988\pi\)
\(524\) 1.30537 2.03120i 0.0570255 0.0887334i
\(525\) 3.88723 + 11.2209i 0.169652 + 0.489719i
\(526\) −2.02369 6.89206i −0.0882372 0.300508i
\(527\) 6.50040 17.4283i 0.283162 0.759187i
\(528\) 4.63634 4.63634i 0.201771 0.201771i
\(529\) 7.95951 21.5788i 0.346066 0.938210i
\(530\) 6.08303 22.7153i 0.264230 0.986691i
\(531\) −2.38468 5.22172i −0.103486 0.226604i
\(532\) 1.69146 3.09769i 0.0733343 0.134302i
\(533\) 18.9733 1.35700i 0.821827 0.0587782i
\(534\) −18.2655 11.7385i −0.790426 0.507976i
\(535\) −0.700407 + 2.02464i −0.0302812 + 0.0875329i
\(536\) 9.07304 1.30451i 0.391896 0.0563461i
\(537\) −26.5976 + 14.5234i −1.14777 + 0.626731i
\(538\) −7.37753 1.60488i −0.318068 0.0691915i
\(539\) −2.64966 + 18.4288i −0.114129 + 0.793786i
\(540\) 9.72560 0.930104i 0.418523 0.0400253i
\(541\) −10.9010 + 23.8698i −0.468669 + 1.02624i 0.516756 + 0.856133i \(0.327139\pi\)
−0.985425 + 0.170109i \(0.945588\pi\)
\(542\) 12.7383 + 17.0164i 0.547156 + 0.730915i
\(543\) 1.42787 6.56381i 0.0612757 0.281680i
\(544\) 2.88855 + 0.848154i 0.123846 + 0.0363643i
\(545\) 0.921086 7.71315i 0.0394550 0.330395i
\(546\) 12.2709 10.6328i 0.525145 0.455041i
\(547\) −11.5243 + 2.50695i −0.492743 + 0.107190i −0.452069 0.891983i \(-0.649314\pi\)
−0.0406736 + 0.999172i \(0.512950\pi\)
\(548\) −1.16201 16.2470i −0.0496387 0.694039i
\(549\) 1.77736 0.521880i 0.0758558 0.0222733i
\(550\) 13.0672 10.7956i 0.557188 0.460325i
\(551\) 15.2084i 0.647900i
\(552\) 5.30409 + 7.60986i 0.225757 + 0.323897i
\(553\) −3.36470 3.36470i −0.143082 0.143082i
\(554\) 23.7061 10.8262i 1.00717 0.459961i
\(555\) −0.693572 28.9599i −0.0294405 1.22928i
\(556\) 1.54817 1.78668i 0.0656569 0.0757721i
\(557\) 6.63181 + 30.4859i 0.280999 + 1.29173i 0.873762 + 0.486353i \(0.161673\pi\)
−0.592764 + 0.805376i \(0.701963\pi\)
\(558\) −0.326628 + 4.56686i −0.0138273 + 0.193330i
\(559\) 8.20440 + 57.0629i 0.347009 + 2.41350i
\(560\) 0.647718 + 2.66824i 0.0273711 + 0.112754i
\(561\) 16.6056 10.6718i 0.701089 0.450563i
\(562\) 20.8225 15.5875i 0.878344 0.657520i
\(563\) −5.69451 15.2676i −0.239995 0.643451i 0.759984 0.649942i \(-0.225207\pi\)
−0.999979 + 0.00649040i \(0.997934\pi\)
\(564\) −14.4151 6.58315i −0.606985 0.277201i
\(565\) −6.49122 16.2075i −0.273088 0.681854i
\(566\) −14.9884 23.3224i −0.630010 0.980314i
\(567\) 6.28144 + 11.5036i 0.263796 + 0.483106i
\(568\) −2.52435 + 3.37213i −0.105919 + 0.141492i
\(569\) 11.4435 + 13.2065i 0.479736 + 0.553645i 0.943094 0.332526i \(-0.107901\pi\)
−0.463358 + 0.886171i \(0.653356\pi\)
\(570\) 8.36321 + 9.19716i 0.350296 + 0.385227i
\(571\) 17.9309 + 15.5372i 0.750384 + 0.650211i 0.943654 0.330935i \(-0.107364\pi\)
−0.193270 + 0.981146i \(0.561909\pi\)
\(572\) −20.3405 11.1067i −0.850477 0.464396i
\(573\) −9.44435 3.52256i −0.394543 0.147157i
\(574\) −3.41661 −0.142607
\(575\) 11.7855 + 20.8830i 0.491491 + 0.870883i
\(576\) −0.741013 −0.0308755
\(577\) −11.6423 4.34235i −0.484674 0.180774i 0.0952356 0.995455i \(-0.469640\pi\)
−0.579910 + 0.814681i \(0.696912\pi\)
\(578\) −6.96607 3.80376i −0.289750 0.158216i
\(579\) −14.9306 12.9374i −0.620494 0.537661i
\(580\) 7.95987 + 8.75360i 0.330515 + 0.363473i
\(581\) −9.72678 11.2253i −0.403535 0.465704i
\(582\) −7.46474 + 9.97173i −0.309423 + 0.413341i
\(583\) −17.0856 31.2899i −0.707613 1.29590i
\(584\) −0.417053 0.648947i −0.0172578 0.0268536i
\(585\) 4.21159 + 10.5156i 0.174128 + 0.434768i
\(586\) 25.7028 + 11.7381i 1.06177 + 0.484896i
\(587\) −1.93614 5.19098i −0.0799129 0.214255i 0.890849 0.454300i \(-0.150110\pi\)
−0.970762 + 0.240045i \(0.922838\pi\)
\(588\) 8.50401 6.36602i 0.350699 0.262530i
\(589\) 14.9401 9.60145i 0.615598 0.395621i
\(590\) −4.08635 16.8335i −0.168232 0.693024i
\(591\) 3.51611 + 24.4551i 0.144634 + 1.00595i
\(592\) 0.477826 6.68088i 0.0196385 0.274582i
\(593\) −6.50107 29.8849i −0.266967 1.22723i −0.893940 0.448186i \(-0.852070\pi\)
0.626973 0.779041i \(-0.284294\pi\)
\(594\) 9.69957 11.1939i 0.397978 0.459291i
\(595\) 0.197910 + 8.26365i 0.00811351 + 0.338777i
\(596\) 15.5070 7.08181i 0.635191 0.290082i
\(597\) 17.9565 + 17.9565i 0.734911 + 0.734911i
\(598\) 20.5261 25.5661i 0.839376 1.04548i
\(599\) 7.13312i 0.291451i −0.989325 0.145726i \(-0.953448\pi\)
0.989325 0.145726i \(-0.0465517\pi\)
\(600\) −9.62732 0.916482i −0.393034 0.0374152i
\(601\) 17.7450 5.21042i 0.723836 0.212537i 0.100996 0.994887i \(-0.467797\pi\)
0.622840 + 0.782350i \(0.285979\pi\)
\(602\) −0.738701 10.3284i −0.0301072 0.420954i
\(603\) −6.63715 + 1.44382i −0.270286 + 0.0587970i
\(604\) −8.05535 + 6.98000i −0.327767 + 0.284012i
\(605\) 0.130415 1.09209i 0.00530212 0.0443998i
\(606\) −17.5527 5.15395i −0.713031 0.209365i
\(607\) −8.21220 + 37.7509i −0.333323 + 1.53226i 0.439854 + 0.898069i \(0.355030\pi\)
−0.773177 + 0.634191i \(0.781333\pi\)
\(608\) 1.72249 + 2.30097i 0.0698561 + 0.0933168i
\(609\) −5.22043 + 11.4311i −0.211542 + 0.463213i
\(610\) 5.56437 0.532146i 0.225295 0.0215460i
\(611\) −7.97144 + 55.4426i −0.322490 + 2.24297i
\(612\) −2.17983 0.474194i −0.0881146 0.0191682i
\(613\) −30.4571 + 16.6308i −1.23015 + 0.671713i −0.956953 0.290245i \(-0.906263\pi\)
−0.273198 + 0.961958i \(0.588082\pi\)
\(614\) −20.2622 + 2.91327i −0.817717 + 0.117570i
\(615\) 3.93421 11.3725i 0.158643 0.458583i
\(616\) 3.50184 + 2.25049i 0.141093 + 0.0906750i
\(617\) −34.6946 + 2.48141i −1.39675 + 0.0998978i −0.749312 0.662217i \(-0.769616\pi\)
−0.647442 + 0.762115i \(0.724161\pi\)
\(618\) −2.14286 + 3.92435i −0.0861983 + 0.157860i
\(619\) −7.95624 17.4217i −0.319788 0.700238i 0.679658 0.733530i \(-0.262128\pi\)
−0.999446 + 0.0332912i \(0.989401\pi\)
\(620\) −3.57393 + 13.3458i −0.143532 + 0.535981i
\(621\) 13.1777 + 16.2920i 0.528803 + 0.653775i
\(622\) 10.1859 10.1859i 0.408416 0.408416i
\(623\) 4.81711 12.9152i 0.192994 0.517436i
\(624\) 3.72530 + 12.6872i 0.149131 + 0.507895i
\(625\) −24.5510 4.71705i −0.982038 0.188682i
\(626\) 13.3598 20.7882i 0.533964 0.830864i
\(627\) 18.7979 + 1.34445i 0.750717 + 0.0536923i
\(628\) −15.8291 11.8495i −0.631652 0.472848i
\(629\) 5.68089 19.3473i 0.226512 0.771429i
\(630\) −0.619796 1.93792i −0.0246933 0.0772087i
\(631\) −28.4882 4.09599i −1.13410 0.163059i −0.450403 0.892825i \(-0.648720\pi\)
−0.683696 + 0.729767i \(0.739629\pi\)
\(632\) 3.63082 1.35423i 0.144426 0.0538682i
\(633\) 21.6271 8.06650i 0.859601 0.320615i
\(634\) −14.7575 2.12180i −0.586094 0.0842676i
\(635\) 6.22633 12.0817i 0.247085 0.479448i
\(636\) −5.73066 + 19.5169i −0.227236 + 0.773893i
\(637\) −30.0579 22.5011i −1.19094 0.891525i
\(638\) 17.8913 + 1.27961i 0.708325 + 0.0506604i
\(639\) 1.68755 2.62587i 0.0667583 0.103878i
\(640\) −2.19572 0.422860i −0.0867935 0.0167150i
\(641\) 7.58857 + 25.8443i 0.299731 + 1.02079i 0.962346 + 0.271828i \(0.0876283\pi\)
−0.662615 + 0.748960i \(0.730554\pi\)
\(642\) 0.647599 1.73628i 0.0255587 0.0685255i
\(643\) −8.89632 + 8.89632i −0.350837 + 0.350837i −0.860421 0.509584i \(-0.829799\pi\)
0.509584 + 0.860421i \(0.329799\pi\)
\(644\) −4.00501 + 4.31735i −0.157820 + 0.170128i
\(645\) 35.2296 + 9.43426i 1.38716 + 0.371474i
\(646\) 3.59458 + 7.87103i 0.141427 + 0.309682i
\(647\) 10.3165 18.8933i 0.405585 0.742774i −0.592438 0.805616i \(-0.701835\pi\)
0.998024 + 0.0628418i \(0.0200163\pi\)
\(648\) −10.6467 + 0.761470i −0.418244 + 0.0299134i
\(649\) −22.0925 14.1980i −0.867206 0.557320i
\(650\) 6.47875 + 33.5626i 0.254117 + 1.31643i
\(651\) −14.5253 + 2.08842i −0.569291 + 0.0818517i
\(652\) −10.7884 + 5.89091i −0.422506 + 0.230706i
\(653\) 6.31659 + 1.37409i 0.247187 + 0.0537723i 0.334452 0.942413i \(-0.391449\pi\)
−0.0872645 + 0.996185i \(0.527813\pi\)
\(654\) −0.956239 + 6.65079i −0.0373919 + 0.260066i
\(655\) −3.43687 + 4.16375i −0.134289 + 0.162691i
\(656\) 1.15586 2.53097i 0.0451287 0.0988180i
\(657\) 0.342559 + 0.457606i 0.0133645 + 0.0178529i
\(658\) 2.13857 9.83083i 0.0833700 0.383246i
\(659\) 11.2516 + 3.30376i 0.438298 + 0.128696i 0.493435 0.869783i \(-0.335741\pi\)
−0.0551364 + 0.998479i \(0.517559\pi\)
\(660\) −11.5233 + 9.06474i −0.448544 + 0.352844i
\(661\) −18.8706 + 16.3515i −0.733982 + 0.635999i −0.939458 0.342663i \(-0.888671\pi\)
0.205476 + 0.978662i \(0.434126\pi\)
\(662\) −20.1494 + 4.38323i −0.783128 + 0.170359i
\(663\) 2.83982 + 39.7058i 0.110289 + 1.54205i
\(664\) 11.6062 3.40787i 0.450406 0.132251i
\(665\) −4.57687 + 6.42929i −0.177484 + 0.249317i
\(666\) 4.96326i 0.192322i
\(667\) −6.23103 + 24.5989i −0.241266 + 0.952473i
\(668\) 17.8641 + 17.8641i 0.691181 + 0.691181i
\(669\) −45.4361 + 20.7500i −1.75666 + 0.802240i
\(670\) −20.4907 + 0.490740i −0.791624 + 0.0189589i
\(671\) 5.54948 6.40444i 0.214235 0.247241i
\(672\) −0.504848 2.32075i −0.0194749 0.0895248i
\(673\) −3.42165 + 47.8409i −0.131895 + 1.84413i 0.314455 + 0.949272i \(0.398178\pi\)
−0.446350 + 0.894859i \(0.647276\pi\)
\(674\) −0.944315 6.56786i −0.0363737 0.252984i
\(675\) −21.8403 0.513562i −0.840633 0.0197670i
\(676\) 28.3812 18.2395i 1.09159 0.701520i
\(677\) 20.2806 15.1819i 0.779448 0.583487i −0.133745 0.991016i \(-0.542700\pi\)
0.913193 + 0.407528i \(0.133609\pi\)
\(678\) 5.27756 + 14.1497i 0.202683 + 0.543415i
\(679\) −7.19335 3.28509i −0.276056 0.126070i
\(680\) −6.18854 2.64903i −0.237320 0.101586i
\(681\) 19.7670 + 30.7581i 0.757474 + 1.17865i
\(682\) 10.0382 + 18.3836i 0.384383 + 0.703945i
\(683\) −17.5202 + 23.4042i −0.670392 + 0.895538i −0.998799 0.0489979i \(-0.984397\pi\)
0.328407 + 0.944536i \(0.393488\pi\)
\(684\) −1.39477 1.60965i −0.0533304 0.0615465i
\(685\) −1.72777 + 36.3813i −0.0660147 + 1.39006i
\(686\) 11.5928 + 10.0453i 0.442617 + 0.383530i
\(687\) −27.3550 14.9369i −1.04366 0.569880i
\(688\) 7.90102 + 2.94693i 0.301224 + 0.112351i
\(689\) 71.8957 2.73901
\(690\) −9.75893 18.3025i −0.371516 0.696762i
\(691\) 24.3592 0.926668 0.463334 0.886184i \(-0.346653\pi\)
0.463334 + 0.886184i \(0.346653\pi\)
\(692\) 14.2724 + 5.32333i 0.542555 + 0.202363i
\(693\) −2.70726 1.47828i −0.102840 0.0561551i
\(694\) −7.51430 6.51118i −0.285239 0.247161i
\(695\) −3.91111 + 3.55647i −0.148357 + 0.134904i
\(696\) −6.70192 7.73443i −0.254036 0.293173i
\(697\) 5.01982 6.70569i 0.190139 0.253996i
\(698\) 3.60479 + 6.60167i 0.136443 + 0.249877i
\(699\) 22.0930 + 34.3774i 0.835635 + 1.30027i
\(700\) −0.730660 6.09602i −0.0276164 0.230408i
\(701\) −25.1061 11.4656i −0.948244 0.433049i −0.119599 0.992822i \(-0.538161\pi\)
−0.828646 + 0.559774i \(0.810888\pi\)
\(702\) 10.4386 + 27.9869i 0.393978 + 1.05630i
\(703\) 15.4118 11.5371i 0.581267 0.435131i
\(704\) −2.85182 + 1.83275i −0.107482 + 0.0690745i
\(705\) 30.2602 + 18.4386i 1.13967 + 0.694436i
\(706\) −3.46526 24.1014i −0.130417 0.907068i
\(707\) 0.828533 11.5844i 0.0311602 0.435677i
\(708\) 3.18500 + 14.6412i 0.119700 + 0.550250i
\(709\) −25.9265 + 29.9208i −0.973691 + 1.12370i 0.0186073 + 0.999827i \(0.494077\pi\)
−0.992298 + 0.123872i \(0.960469\pi\)
\(710\) 6.49889 6.81781i 0.243899 0.255868i
\(711\) −2.61204 + 1.19288i −0.0979591 + 0.0447364i
\(712\) 7.93771 + 7.93771i 0.297478 + 0.297478i
\(713\) −28.0988 + 9.40877i −1.05231 + 0.352361i
\(714\) 7.15000i 0.267582i
\(715\) 42.2169 + 30.0533i 1.57882 + 1.12393i
\(716\) 15.0333 4.41418i 0.561821 0.164965i
\(717\) −1.66610 23.2952i −0.0622218 0.869975i
\(718\) 15.6616 3.40697i 0.584486 0.127147i
\(719\) −3.42425 + 2.96713i −0.127703 + 0.110655i −0.716371 0.697720i \(-0.754198\pi\)
0.588668 + 0.808375i \(0.299653\pi\)
\(720\) 1.64527 + 0.196474i 0.0613154 + 0.00732214i
\(721\) −2.72366 0.799738i −0.101434 0.0297838i
\(722\) 2.28264 10.4931i 0.0849512 0.390514i
\(723\) −13.8444 18.4939i −0.514878 0.687796i
\(724\) −1.44273 + 3.15913i −0.0536185 + 0.117408i
\(725\) −15.3523 21.5460i −0.570170 0.800200i
\(726\) −0.135392 + 0.941673i −0.00502487 + 0.0349488i
\(727\) 26.3207 + 5.72571i 0.976180 + 0.212355i 0.672238 0.740336i \(-0.265333\pi\)
0.303942 + 0.952690i \(0.401697\pi\)
\(728\) −7.36782 + 4.02313i −0.273070 + 0.149107i
\(729\) −17.2656 + 2.48242i −0.639468 + 0.0919416i
\(730\) 0.753916 + 1.55143i 0.0279037 + 0.0574210i
\(731\) 21.3566 + 13.7250i 0.789902 + 0.507639i
\(732\) −4.82275 + 0.344930i −0.178254 + 0.0127490i
\(733\) 16.8430 30.8456i 0.622110 1.13931i −0.356638 0.934243i \(-0.616077\pi\)
0.978748 0.205067i \(-0.0657411\pi\)
\(734\) 8.12103 + 17.7826i 0.299753 + 0.656367i
\(735\) −20.5693 + 11.8797i −0.758710 + 0.438188i
\(736\) −1.84331 4.42744i −0.0679454 0.163197i
\(737\) −21.9723 + 21.9723i −0.809361 + 0.809361i
\(738\) −0.720527 + 1.93181i −0.0265230 + 0.0711108i
\(739\) 8.09710 + 27.5762i 0.297857 + 1.01441i 0.963405 + 0.268052i \(0.0863798\pi\)
−0.665548 + 0.746355i \(0.731802\pi\)
\(740\) −2.83230 + 14.7068i −0.104117 + 0.540633i
\(741\) −20.5476 + 31.9727i −0.754835 + 1.17455i
\(742\) −12.8807 0.921245i −0.472865 0.0338200i
\(743\) −29.1376 21.8121i −1.06895 0.800210i −0.0883274 0.996091i \(-0.528152\pi\)
−0.980627 + 0.195882i \(0.937243\pi\)
\(744\) 3.36691 11.4666i 0.123437 0.420387i
\(745\) −36.3078 + 11.6121i −1.33021 + 0.425435i
\(746\) −29.0295 4.17381i −1.06285 0.152814i
\(747\) −8.39824 + 3.13238i −0.307276 + 0.114608i
\(748\) −9.56202 + 3.56645i −0.349622 + 0.130402i
\(749\) 1.16450 + 0.167430i 0.0425499 + 0.00611775i
\(750\) 21.1325 + 4.58747i 0.771649 + 0.167511i
\(751\) 2.27644 7.75284i 0.0830685 0.282905i −0.907475 0.420107i \(-0.861993\pi\)
0.990543 + 0.137202i \(0.0438108\pi\)
\(752\) 6.55904 + 4.91004i 0.239184 + 0.179051i
\(753\) 1.95038 + 0.139494i 0.0710759 + 0.00508345i
\(754\) −19.5566 + 30.4307i −0.712211 + 1.10822i
\(755\) 19.7359 13.3618i 0.718264 0.486287i
\(756\) −1.51154 5.14783i −0.0549741 0.187225i
\(757\) −8.33650 + 22.3510i −0.302995 + 0.812362i 0.692832 + 0.721099i \(0.256363\pi\)
−0.995827 + 0.0912623i \(0.970910\pi\)
\(758\) 2.57805 2.57805i 0.0936388 0.0936388i
\(759\) −29.8539 9.87628i −1.08363 0.358486i
\(760\) −3.21434 5.56554i −0.116596 0.201883i
\(761\) −16.4549 36.0311i −0.596489 1.30613i −0.931441 0.363893i \(-0.881447\pi\)
0.334952 0.942235i \(-0.391280\pi\)
\(762\) −5.63437 + 10.3186i −0.204112 + 0.373802i
\(763\) −4.25488 + 0.304315i −0.154037 + 0.0110169i
\(764\) 4.38418 + 2.81754i 0.158614 + 0.101935i
\(765\) 4.71414 + 1.63082i 0.170440 + 0.0589622i
\(766\) 25.3304 3.64196i 0.915225 0.131589i
\(767\) 46.4823 25.3813i 1.67838 0.916465i
\(768\) 1.88997 + 0.411137i 0.0681983 + 0.0148356i
\(769\) 2.52310 17.5486i 0.0909855 0.632818i −0.892394 0.451257i \(-0.850976\pi\)
0.983380 0.181561i \(-0.0581150\pi\)
\(770\) −7.17840 5.92524i −0.258692 0.213531i
\(771\) 7.38201 16.1643i 0.265857 0.582145i
\(772\) 6.12114 + 8.17688i 0.220305 + 0.294292i
\(773\) −2.80311 + 12.8857i −0.100821 + 0.463466i 0.898861 + 0.438234i \(0.144396\pi\)
−0.999682 + 0.0252315i \(0.991968\pi\)
\(774\) −5.99562 1.76047i −0.215508 0.0632789i
\(775\) 11.4737 28.6840i 0.412148 1.03036i
\(776\) 4.86710 4.21736i 0.174719 0.151395i
\(777\) −15.5442 + 3.38144i −0.557646 + 0.121309i
\(778\) −1.39749 19.5395i −0.0501025 0.700524i
\(779\) 7.67347 2.25314i 0.274931 0.0807269i
\(780\) −4.90734 29.1571i −0.175711 1.04399i
\(781\) 14.2796i 0.510965i
\(782\) −2.58923 14.2038i −0.0925907 0.507925i
\(783\) −16.3474 16.3474i −0.584209 0.584209i
\(784\) −4.99587 + 2.28154i −0.178424 + 0.0814835i
\(785\) 32.0035 + 30.5064i 1.14225 + 1.08882i
\(786\) 3.05822 3.52938i 0.109083 0.125889i
\(787\) −3.10021 14.2514i −0.110511 0.508009i −0.998811 0.0487465i \(-0.984477\pi\)
0.888301 0.459263i \(-0.151886\pi\)
\(788\) 0.911268 12.7412i 0.0324626 0.453886i
\(789\) −1.97721 13.7518i −0.0703905 0.489576i
\(790\) −8.42054 + 2.04409i −0.299589 + 0.0727256i
\(791\) −8.06559 + 5.18344i −0.286779 + 0.184302i
\(792\) 2.01097 1.50539i 0.0714566 0.0534917i
\(793\) 5.97228 + 16.0123i 0.212082 + 0.568614i
\(794\) 9.26430 + 4.23086i 0.328778 + 0.150148i
\(795\) 17.8985 41.8137i 0.634794 1.48298i
\(796\) −7.09825 11.0451i −0.251591 0.391483i
\(797\) −26.5996 48.7136i −0.942207 1.72552i −0.632234 0.774777i \(-0.717862\pi\)
−0.309972 0.950746i \(-0.600320\pi\)
\(798\) 4.09095 5.46487i 0.144818 0.193454i
\(799\) 16.1526 + 18.6411i 0.571440 + 0.659476i
\(800\) 4.76302 + 1.52105i 0.168398 + 0.0537773i
\(801\) −6.28657 5.44735i −0.222125 0.192473i
\(802\) −4.40306 2.40425i −0.155477 0.0848971i
\(803\) 2.45016 + 0.913861i 0.0864641 + 0.0322494i
\(804\) 17.7293 0.625263
\(805\) 10.0370 8.52389i 0.353758 0.300428i
\(806\) −42.2405 −1.48786
\(807\) −13.6824 5.10327i −0.481643 0.179644i
\(808\) 8.30126 + 4.53283i 0.292037 + 0.159464i
\(809\) 6.31919 + 5.47561i 0.222171 + 0.192512i 0.758833 0.651285i \(-0.225770\pi\)
−0.536662 + 0.843797i \(0.680315\pi\)
\(810\) 23.8408 + 1.13221i 0.837680 + 0.0397819i
\(811\) −14.6408 16.8963i −0.514107 0.593311i 0.438039 0.898956i \(-0.355673\pi\)
−0.952145 + 0.305645i \(0.901128\pi\)
\(812\) 3.89365 5.20131i 0.136640 0.182530i
\(813\) 19.7033 + 36.0839i 0.691024 + 1.26552i
\(814\) 12.2757 + 19.1013i 0.430262 + 0.669501i
\(815\) 25.5153 10.2191i 0.893763 0.357959i
\(816\) 5.29661 + 2.41888i 0.185419 + 0.0846778i
\(817\) 8.47028 + 22.7097i 0.296338 + 0.794512i
\(818\) −22.2160 + 16.6307i −0.776763 + 0.581478i
\(819\) 5.23306 3.36308i 0.182858 0.117516i
\(820\) −3.23741 + 5.31304i −0.113055 + 0.185539i
\(821\) 1.51923 + 10.5665i 0.0530215 + 0.368773i 0.999007 + 0.0445626i \(0.0141894\pi\)
−0.945985 + 0.324210i \(0.894901\pi\)
\(822\) 2.24753 31.4245i 0.0783915 1.09606i
\(823\) 2.91588 + 13.4041i 0.101641 + 0.467236i 0.999630 + 0.0272174i \(0.00866464\pi\)
−0.897988 + 0.440019i \(0.854972\pi\)
\(824\) 1.51386 1.74709i 0.0527379 0.0608627i
\(825\) 27.9886 17.0710i 0.974437 0.594338i
\(826\) −8.65290 + 3.95165i −0.301073 + 0.137495i
\(827\) −4.87874 4.87874i −0.169650 0.169650i 0.617175 0.786826i \(-0.288277\pi\)
−0.786826 + 0.617175i \(0.788277\pi\)
\(828\) 1.59649 + 3.17498i 0.0554817 + 0.110338i
\(829\) 38.5688i 1.33955i −0.742565 0.669774i \(-0.766391\pi\)
0.742565 0.669774i \(-0.233609\pi\)
\(830\) −26.6726 + 4.48920i −0.925820 + 0.155822i
\(831\) 48.3649 14.2012i 1.67776 0.492635i
\(832\) −0.487706 6.81902i −0.0169082 0.236407i
\(833\) −16.1563 + 3.51460i −0.559784 + 0.121774i
\(834\) 3.45574 2.99442i 0.119662 0.103688i
\(835\) −34.9269 44.4000i −1.20870 1.53652i
\(836\) −9.34900 2.74511i −0.323342 0.0949418i
\(837\) 5.73853 26.3796i 0.198352 0.911812i
\(838\) 6.97644 + 9.31943i 0.240997 + 0.321934i
\(839\) −7.93709 + 17.3798i −0.274019 + 0.600018i −0.995744 0.0921621i \(-0.970622\pi\)
0.721725 + 0.692180i \(0.243349\pi\)
\(840\) 0.505582 + 5.28660i 0.0174442 + 0.182405i
\(841\) −0.142743 + 0.992796i −0.00492216 + 0.0342343i
\(842\) 15.5105 + 3.37410i 0.534526 + 0.116279i
\(843\) 44.1550 24.1104i 1.52078 0.830408i
\(844\) −11.8126 + 1.69839i −0.406606 + 0.0584611i
\(845\) −67.8507 + 32.9720i −2.33414 + 1.13427i
\(846\) −5.10751 3.28240i −0.175600 0.112851i
\(847\) −0.602441 + 0.0430874i −0.0207001 + 0.00148050i
\(848\) 5.04005 9.23016i 0.173076 0.316965i
\(849\) −22.2753 48.7761i −0.764486 1.67399i
\(850\) 13.0380 + 7.52246i 0.447200 + 0.258018i
\(851\) −29.6547 + 12.3464i −1.01655 + 0.423229i
\(852\) −5.76104 + 5.76104i −0.197370 + 0.197370i
\(853\) −8.90970 + 23.8878i −0.305062 + 0.817904i 0.690459 + 0.723371i \(0.257408\pi\)
−0.995522 + 0.0945326i \(0.969864\pi\)
\(854\) −0.864805 2.94526i −0.0295930 0.100785i
\(855\) 2.67001 + 3.94371i 0.0913125 + 0.134872i
\(856\) −0.517986 + 0.806002i −0.0177044 + 0.0275486i
\(857\) 8.17093 + 0.584396i 0.279114 + 0.0199626i 0.210194 0.977660i \(-0.432590\pi\)
0.0689193 + 0.997622i \(0.478045\pi\)
\(858\) −35.8842 26.8626i −1.22507 0.917073i
\(859\) −6.68434 + 22.7648i −0.228067 + 0.776724i 0.763350 + 0.645985i \(0.223553\pi\)
−0.991417 + 0.130739i \(0.958265\pi\)
\(860\) −16.7612 8.63794i −0.571553 0.294551i
\(861\) −6.54105 0.940460i −0.222918 0.0320508i
\(862\) 14.0854 5.25358i 0.479750 0.178937i
\(863\) 40.3341 15.0438i 1.37299 0.512098i 0.448662 0.893702i \(-0.351901\pi\)
0.924326 + 0.381604i \(0.124628\pi\)
\(864\) 4.32479 + 0.621811i 0.147132 + 0.0211544i
\(865\) −30.2775 15.6036i −1.02946 0.530537i
\(866\) 0.552191 1.88059i 0.0187642 0.0639050i
\(867\) −12.2894 9.19972i −0.417369 0.312439i
\(868\) 7.56772 + 0.541254i 0.256865 + 0.0183714i
\(869\) −7.10219 + 11.0512i −0.240925 + 0.374887i
\(870\) 12.8295 + 18.9497i 0.434961 + 0.642454i
\(871\) −17.6548 60.1267i −0.598210 2.03732i
\(872\) 1.21402 3.25490i 0.0411118 0.110225i
\(873\) −3.37445 + 3.37445i −0.114208 + 0.114208i
\(874\) 6.14784 12.3376i 0.207954 0.417327i
\(875\) 0.00596829 + 13.7287i 0.000201765 + 0.464114i
\(876\) −0.619810 1.35720i −0.0209415 0.0458554i
\(877\) −13.6185 + 24.9403i −0.459862 + 0.842175i 0.540137 + 0.841577i \(0.318372\pi\)
−1.00000 0.000598267i \(0.999810\pi\)
\(878\) −22.0264 + 1.57536i −0.743354 + 0.0531657i
\(879\) 45.9765 + 29.5473i 1.55075 + 0.996607i
\(880\) 6.81782 3.31311i 0.229829 0.111685i
\(881\) −3.07893 + 0.442684i −0.103732 + 0.0149144i −0.193985 0.981004i \(-0.562141\pi\)
0.0902534 + 0.995919i \(0.471232\pi\)
\(882\) 3.57196 1.95044i 0.120274 0.0656747i
\(883\) 14.0083 + 3.04732i 0.471418 + 0.102551i 0.441997 0.897016i \(-0.354270\pi\)
0.0294206 + 0.999567i \(0.490634\pi\)
\(884\) 2.92899 20.3716i 0.0985126 0.685170i
\(885\) −3.18963 33.3523i −0.107218 1.12112i
\(886\) −5.08292 + 11.1300i −0.170764 + 0.373921i
\(887\) 28.4059 + 37.9458i 0.953777 + 1.27410i 0.961693 + 0.274128i \(0.0883893\pi\)
−0.00791616 + 0.999969i \(0.502520\pi\)
\(888\) 2.75377 12.6589i 0.0924106 0.424805i
\(889\) −7.16151 2.10281i −0.240189 0.0705260i
\(890\) −15.5194 19.7287i −0.520212 0.661307i
\(891\) 27.3463 23.6957i 0.916134 0.793835i
\(892\) 25.2348 5.48950i 0.844925 0.183802i
\(893\) 1.68001 + 23.4897i 0.0562196 + 0.786052i
\(894\) 31.6372 9.28953i 1.05811 0.310688i
\(895\) −34.5487 + 5.81480i −1.15484 + 0.194367i
\(896\) 1.22793i 0.0410223i
\(897\) 46.3343 43.2958i 1.54706 1.44560i
\(898\) 22.8958 + 22.8958i 0.764043 + 0.764043i
\(899\) 29.7386 13.5812i 0.991839 0.452958i
\(900\) −3.60088 0.872458i −0.120029 0.0290819i
\(901\) 20.7329 23.9271i 0.690713 0.797126i
\(902\) 2.00498 + 9.21674i 0.0667585 + 0.306884i
\(903\) 1.42877 19.9769i 0.0475466 0.664788i
\(904\) −1.11118 7.72845i −0.0369574 0.257044i
\(905\) 4.04089 6.63166i 0.134324 0.220444i
\(906\) −17.3431 + 11.1458i −0.576187 + 0.370293i
\(907\) −18.7164 + 14.0109i −0.621467 + 0.465224i −0.863024 0.505162i \(-0.831433\pi\)
0.241558 + 0.970386i \(0.422342\pi\)
\(908\) −6.60603 17.7114i −0.219229 0.587775i
\(909\) −6.37529 2.91150i −0.211455 0.0965682i
\(910\) 17.4254 6.97902i 0.577647 0.231352i
\(911\) 25.2316 + 39.2611i 0.835959 + 1.30078i 0.951554 + 0.307481i \(0.0994862\pi\)
−0.115595 + 0.993296i \(0.536877\pi\)
\(912\) 2.66430 + 4.87931i 0.0882240 + 0.161570i
\(913\) −24.5737 + 32.8266i −0.813270 + 1.08640i
\(914\) −12.5465 14.4794i −0.415001 0.478936i
\(915\) 10.7994 + 0.512869i 0.357016 + 0.0169549i
\(916\) 12.1782 + 10.5525i 0.402380 + 0.348664i
\(917\) 2.60217 + 1.42089i 0.0859311 + 0.0469219i
\(918\) 12.3243 + 4.59673i 0.406763 + 0.151715i
\(919\) 24.2999 0.801580 0.400790 0.916170i \(-0.368736\pi\)
0.400790 + 0.916170i \(0.368736\pi\)
\(920\) 2.91879 + 10.3189i 0.0962298 + 0.340206i
\(921\) −39.5936 −1.30465
\(922\) −3.37489 1.25877i −0.111146 0.0414554i
\(923\) 25.2747 + 13.8010i 0.831928 + 0.454267i
\(924\) 6.08473 + 5.27245i 0.200173 + 0.173451i
\(925\) 10.1879 31.9025i 0.334977 1.04895i
\(926\) 24.2850 + 28.0264i 0.798056 + 0.921005i
\(927\) −1.02658 + 1.37134i −0.0337172 + 0.0450409i
\(928\) 2.53581 + 4.64399i 0.0832421 + 0.152446i
\(929\) 20.0501 + 31.1986i 0.657824 + 1.02359i 0.996573 + 0.0827170i \(0.0263598\pi\)
−0.338749 + 0.940877i \(0.610004\pi\)
\(930\) −10.5158 + 24.5666i −0.344827 + 0.805570i
\(931\) −14.3595 6.55776i −0.470614 0.214922i
\(932\) −7.38337 19.7956i −0.241850 0.648426i
\(933\) 22.3044 16.6969i 0.730215 0.546632i
\(934\) −13.6688 + 8.78438i −0.447256 + 0.287434i
\(935\) 22.1761 5.38326i 0.725236 0.176052i
\(936\) 0.720951 + 5.01432i 0.0235650 + 0.163898i
\(937\) 1.16943 16.3507i 0.0382035 0.534155i −0.941929 0.335812i \(-0.890989\pi\)
0.980133 0.198343i \(-0.0635560\pi\)
\(938\) 2.39255 + 10.9984i 0.0781197 + 0.359110i
\(939\) 31.2993 36.1213i 1.02141 1.17877i
\(940\) −13.2611 12.6408i −0.432531 0.412298i
\(941\) −32.4604 + 14.8242i −1.05818 + 0.483254i −0.867004 0.498302i \(-0.833957\pi\)
−0.191176 + 0.981556i \(0.561230\pi\)
\(942\) −27.0429 27.0429i −0.881105 0.881105i
\(943\) −13.3346 + 0.500447i −0.434235 + 0.0162968i
\(944\) 7.74680i 0.252137i
\(945\) 1.99115 + 11.8305i 0.0647721 + 0.384845i
\(946\) −27.4286 + 8.05377i −0.891782 + 0.261851i
\(947\) 1.02820 + 14.3762i 0.0334122 + 0.467163i 0.986423 + 0.164226i \(0.0525126\pi\)
−0.953011 + 0.302937i \(0.902033\pi\)
\(948\) 7.32390 1.59322i 0.237869 0.0517453i
\(949\) −3.98556 + 3.45351i −0.129377 + 0.112106i
\(950\) 5.66112 + 13.2094i 0.183671 + 0.428569i
\(951\) −27.6689 8.12431i −0.897224 0.263449i
\(952\) −0.785785 + 3.61220i −0.0254674 + 0.117072i
\(953\) −13.8333 18.4791i −0.448105 0.598598i 0.518434 0.855118i \(-0.326515\pi\)
−0.966539 + 0.256519i \(0.917424\pi\)
\(954\) −3.23729 + 7.08867i −0.104811 + 0.229504i
\(955\) −8.98710 7.41819i −0.290816 0.240047i
\(956\) −1.71842 + 11.9519i −0.0555777 + 0.386552i
\(957\) 33.9004 + 7.37459i 1.09585 + 0.238387i
\(958\) 10.3097 5.62952i 0.333091 0.181882i
\(959\) 19.7976 2.84647i 0.639298 0.0919172i
\(960\) −4.08727 1.41396i −0.131916 0.0456352i
\(961\) 6.03749 + 3.88006i 0.194758 + 0.125163i
\(962\) −45.6734 + 3.26662i −1.47257 + 0.105320i
\(963\) 0.340248 0.623118i 0.0109643 0.0200797i
\(964\) 4.96172 + 10.8647i 0.159806 + 0.349927i
\(965\) −11.4227 19.7780i −0.367709 0.636678i
\(966\) −8.85593 + 7.16307i −0.284935 + 0.230468i
\(967\) 29.8120 29.8120i 0.958690 0.958690i −0.0404896 0.999180i \(-0.512892\pi\)
0.999180 + 0.0404896i \(0.0128918\pi\)
\(968\) 0.171890 0.460856i 0.00552476 0.0148125i
\(969\) 4.71517 + 16.0584i 0.151473 + 0.515870i
\(970\) −11.9246 + 8.07331i −0.382875 + 0.259218i
\(971\) 5.82284 9.06052i 0.186864 0.290766i −0.735164 0.677889i \(-0.762895\pi\)
0.922028 + 0.387123i \(0.126531\pi\)
\(972\) −7.51821 0.537713i −0.241147 0.0172472i
\(973\) 2.32395 + 1.73968i 0.0745023 + 0.0557717i
\(974\) −4.60096 + 15.6694i −0.147424 + 0.502081i
\(975\) 3.16498 + 66.0383i 0.101360 + 2.11492i
\(976\) 2.47437 + 0.355761i 0.0792026 + 0.0113876i
\(977\) −31.5678 + 11.7742i −1.00994 + 0.376690i −0.799338 0.600881i \(-0.794817\pi\)
−0.210606 + 0.977571i \(0.567544\pi\)
\(978\) −22.2757 + 8.30842i −0.712299 + 0.265674i
\(979\) −37.6671 5.41572i −1.20385 0.173087i
\(980\) 11.6972 3.74106i 0.373654 0.119504i
\(981\) −0.725244 + 2.46996i −0.0231553 + 0.0788596i
\(982\) −31.2132 23.3659i −0.996053 0.745636i
\(983\) −6.26344 0.447970i −0.199773 0.0142880i −0.0289058 0.999582i \(-0.509202\pi\)
−0.170867 + 0.985294i \(0.554657\pi\)
\(984\) 2.90955 4.52734i 0.0927530 0.144326i
\(985\) −5.40151 + 28.0476i −0.172106 + 0.893670i
\(986\) 4.48777 + 15.2839i 0.142920 + 0.486740i
\(987\) 6.80029 18.2323i 0.216456 0.580340i
\(988\) 13.8945 13.8945i 0.442043 0.442043i
\(989\) −4.39591 40.2022i −0.139782 1.27836i
\(990\) −4.86407 + 2.80921i −0.154590 + 0.0892827i
\(991\) 4.08645 + 8.94808i 0.129810 + 0.284245i 0.963366 0.268191i \(-0.0864257\pi\)
−0.833555 + 0.552436i \(0.813698\pi\)
\(992\) −2.96115 + 5.42295i −0.0940167 + 0.172179i
\(993\) −39.7822 + 2.84528i −1.26245 + 0.0902922i
\(994\) −4.35133 2.79643i −0.138016 0.0886973i
\(995\) 12.8317 + 26.4054i 0.406791 + 0.837107i
\(996\) 23.1578 3.32959i 0.733784 0.105502i
\(997\) −29.5968 + 16.1611i −0.937340 + 0.511826i −0.873871 0.486157i \(-0.838398\pi\)
−0.0634688 + 0.997984i \(0.520216\pi\)
\(998\) −17.3996 3.78505i −0.550774 0.119814i
\(999\) 4.16486 28.9672i 0.131770 0.916482i
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 230.2.l.a.203.2 yes 240
5.2 odd 4 inner 230.2.l.a.157.8 yes 240
23.17 odd 22 inner 230.2.l.a.63.8 yes 240
115.17 even 44 inner 230.2.l.a.17.2 240
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
230.2.l.a.17.2 240 115.17 even 44 inner
230.2.l.a.63.8 yes 240 23.17 odd 22 inner
230.2.l.a.157.8 yes 240 5.2 odd 4 inner
230.2.l.a.203.2 yes 240 1.1 even 1 trivial