Properties

Label 201.4.i.a.22.9
Level $201$
Weight $4$
Character 201.22
Analytic conductor $11.859$
Analytic rank $0$
Dimension $170$
CM no
Inner twists $2$

Related objects

Downloads

Learn more

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [201,4,Mod(22,201)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(201, base_ring=CyclotomicField(22))
 
chi = DirichletCharacter(H, H._module([0, 20]))
 
N = Newforms(chi, 4, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("201.22");
 
S:= CuspForms(chi, 4);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 201 = 3 \cdot 67 \)
Weight: \( k \) \(=\) \( 4 \)
Character orbit: \([\chi]\) \(=\) 201.i (of order \(11\), degree \(10\), 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: \(11.8593839112\)
Analytic rank: \(0\)
Dimension: \(170\)
Relative dimension: \(17\) over \(\Q(\zeta_{11})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{11}]$

Embedding invariants

Embedding label 22.9
Character \(\chi\) \(=\) 201.22
Dual form 201.4.i.a.64.9

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(0.0808466 - 0.0237387i) q^{2} +(-0.426945 - 2.96946i) q^{3} +(-6.72406 + 4.32129i) q^{4} +(-8.02393 + 17.5699i) q^{5} +(-0.105008 - 0.229936i) q^{6} +(6.29283 - 1.84774i) q^{7} +(-0.882462 + 1.01842i) q^{8} +(-8.63544 + 2.53559i) q^{9} +O(q^{10})\) \(q+(0.0808466 - 0.0237387i) q^{2} +(-0.426945 - 2.96946i) q^{3} +(-6.72406 + 4.32129i) q^{4} +(-8.02393 + 17.5699i) q^{5} +(-0.105008 - 0.229936i) q^{6} +(6.29283 - 1.84774i) q^{7} +(-0.882462 + 1.01842i) q^{8} +(-8.63544 + 2.53559i) q^{9} +(-0.231619 + 1.61095i) q^{10} +(11.7781 - 25.7904i) q^{11} +(15.7027 + 18.1219i) q^{12} +(-50.0029 - 57.7064i) q^{13} +(0.464891 - 0.298768i) q^{14} +(55.5991 + 16.3254i) q^{15} +(26.5158 - 58.0615i) q^{16} +(50.6870 + 32.5745i) q^{17} +(-0.637954 + 0.409988i) q^{18} +(41.0506 + 12.0535i) q^{19} +(-21.9715 - 152.815i) q^{20} +(-8.17350 - 17.8975i) q^{21} +(0.339987 - 2.36466i) q^{22} +(-17.0280 - 118.432i) q^{23} +(3.40091 + 2.18563i) q^{24} +(-162.462 - 187.491i) q^{25} +(-5.41244 - 3.47836i) q^{26} +(11.2162 + 24.5601i) q^{27} +(-34.3287 + 39.6175i) q^{28} -40.1170 q^{29} +4.88254 q^{30} +(12.0283 - 13.8813i) q^{31} +(2.29963 - 15.9943i) q^{32} +(-81.6122 - 23.9635i) q^{33} +(4.87115 + 1.43030i) q^{34} +(-18.0285 + 125.391i) q^{35} +(47.1081 - 54.3657i) q^{36} -43.1585 q^{37} +3.60494 q^{38} +(-150.009 + 173.119i) q^{39} +(-10.8127 - 23.6765i) q^{40} +(-204.742 - 131.580i) q^{41} +(-1.08566 - 1.25292i) q^{42} +(-28.2031 - 18.1250i) q^{43} +(32.2513 + 224.312i) q^{44} +(24.7399 - 172.070i) q^{45} +(-4.18808 - 9.17061i) q^{46} +(-15.5732 - 108.314i) q^{47} +(-183.732 - 53.9487i) q^{48} +(-252.364 + 162.185i) q^{49} +(-17.5853 - 11.3014i) q^{50} +(75.0884 - 164.421i) q^{51} +(585.588 + 171.944i) q^{52} +(381.142 - 244.945i) q^{53} +(1.48982 + 1.71934i) q^{54} +(358.629 + 413.880i) q^{55} +(-3.67142 + 8.03929i) q^{56} +(18.2662 - 127.045i) q^{57} +(-3.24332 + 0.952325i) q^{58} +(387.615 - 447.332i) q^{59} +(-444.398 + 130.487i) q^{60} +(-185.319 - 405.791i) q^{61} +(0.642918 - 1.40779i) q^{62} +(-49.6563 + 31.9121i) q^{63} +(72.4775 + 504.092i) q^{64} +(1415.12 - 415.516i) q^{65} -7.16693 q^{66} +(-78.4850 + 542.774i) q^{67} -481.586 q^{68} +(-344.410 + 101.128i) q^{69} +(1.51908 + 10.5654i) q^{70} +(633.999 - 407.446i) q^{71} +(5.03816 - 11.0320i) q^{72} +(-376.126 - 823.600i) q^{73} +(-3.48922 + 1.02453i) q^{74} +(-487.386 + 562.474i) q^{75} +(-328.113 + 96.3428i) q^{76} +(26.4635 - 184.057i) q^{77} +(-8.01806 + 17.5571i) q^{78} +(-177.331 - 204.651i) q^{79} +(807.377 + 931.762i) q^{80} +(68.1415 - 43.7919i) q^{81} +(-19.6762 - 5.77746i) q^{82} +(-448.331 + 981.708i) q^{83} +(132.299 + 85.0235i) q^{84} +(-979.041 + 629.192i) q^{85} +(-2.71039 - 0.795841i) q^{86} +(17.1277 + 119.126i) q^{87} +(15.8716 + 34.7540i) q^{88} +(-118.907 + 827.013i) q^{89} +(-2.08457 - 14.4985i) q^{90} +(-421.286 - 270.744i) q^{91} +(626.276 + 722.761i) q^{92} +(-46.3556 - 29.7909i) q^{93} +(-3.83027 - 8.38712i) q^{94} +(-541.167 + 624.540i) q^{95} -48.4762 q^{96} -940.202 q^{97} +(-16.5527 + 19.1029i) q^{98} +(-36.3149 + 252.576i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 170 q + 2 q^{2} - 51 q^{3} - 82 q^{4} + 4 q^{5} - 27 q^{6} - 16 q^{7} - 177 q^{8} - 153 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 170 q + 2 q^{2} - 51 q^{3} - 82 q^{4} + 4 q^{5} - 27 q^{6} - 16 q^{7} - 177 q^{8} - 153 q^{9} + 49 q^{10} + 144 q^{11} - 81 q^{12} + 20 q^{13} - 146 q^{14} - 54 q^{15} - 458 q^{16} + 38 q^{17} + 18 q^{18} + 152 q^{19} + 284 q^{20} - 48 q^{21} + 133 q^{22} + 366 q^{23} + 162 q^{24} - 333 q^{25} - 220 q^{26} - 459 q^{27} + 1621 q^{28} - 1448 q^{29} - 414 q^{30} - 670 q^{31} - 301 q^{32} + 234 q^{33} + 78 q^{34} + 1476 q^{35} - 243 q^{36} - 3030 q^{37} - 356 q^{38} + 60 q^{39} + 637 q^{40} - 882 q^{41} - 1098 q^{42} + 2702 q^{43} - 951 q^{44} + 36 q^{45} - 483 q^{46} + 776 q^{47} - 1374 q^{48} + 1433 q^{49} + 3267 q^{50} + 378 q^{51} + 4474 q^{52} + 2840 q^{53} + 54 q^{54} + 1982 q^{55} + 3828 q^{56} + 489 q^{57} + 1740 q^{58} - 1136 q^{59} - 3339 q^{60} - 868 q^{61} + 452 q^{62} + 1341 q^{63} + 515 q^{64} + 3852 q^{65} - 2604 q^{66} - 1061 q^{67} - 32806 q^{68} - 1278 q^{69} - 2584 q^{70} + 4000 q^{71} - 306 q^{72} + 7155 q^{73} + 1288 q^{74} - 999 q^{75} - 2884 q^{76} - 2246 q^{77} + 792 q^{78} + 2513 q^{79} + 22708 q^{80} - 1377 q^{81} - 6136 q^{82} + 2308 q^{83} + 2718 q^{84} - 6494 q^{85} + 124 q^{86} + 738 q^{87} + 2782 q^{88} + 1050 q^{89} + 441 q^{90} - 2750 q^{91} + 1272 q^{92} + 1422 q^{93} + 2292 q^{94} - 766 q^{95} + 252 q^{96} - 7450 q^{97} + 3195 q^{98} - 288 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/201\mathbb{Z}\right)^\times\).

\(n\) \(68\) \(136\)
\(\chi(n)\) \(1\) \(e\left(\frac{10}{11}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.0808466 0.0237387i 0.0285836 0.00839290i −0.267410 0.963583i \(-0.586168\pi\)
0.295993 + 0.955190i \(0.404349\pi\)
\(3\) −0.426945 2.96946i −0.0821655 0.571474i
\(4\) −6.72406 + 4.32129i −0.840507 + 0.540161i
\(5\) −8.02393 + 17.5699i −0.717682 + 1.57150i 0.0994432 + 0.995043i \(0.468294\pi\)
−0.817125 + 0.576461i \(0.804433\pi\)
\(6\) −0.105008 0.229936i −0.00714491 0.0156452i
\(7\) 6.29283 1.84774i 0.339781 0.0997687i −0.107390 0.994217i \(-0.534250\pi\)
0.447172 + 0.894448i \(0.352431\pi\)
\(8\) −0.882462 + 1.01842i −0.0389997 + 0.0450080i
\(9\) −8.63544 + 2.53559i −0.319831 + 0.0939109i
\(10\) −0.231619 + 1.61095i −0.00732445 + 0.0509427i
\(11\) 11.7781 25.7904i 0.322838 0.706917i −0.676732 0.736229i \(-0.736604\pi\)
0.999570 + 0.0293121i \(0.00933167\pi\)
\(12\) 15.7027 + 18.1219i 0.377748 + 0.435945i
\(13\) −50.0029 57.7064i −1.06679 1.23114i −0.971835 0.235663i \(-0.924274\pi\)
−0.0949578 0.995481i \(-0.530272\pi\)
\(14\) 0.464891 0.298768i 0.00887482 0.00570350i
\(15\) 55.5991 + 16.3254i 0.957042 + 0.281013i
\(16\) 26.5158 58.0615i 0.414309 0.907211i
\(17\) 50.6870 + 32.5745i 0.723141 + 0.464734i 0.849728 0.527221i \(-0.176766\pi\)
−0.126587 + 0.991955i \(0.540402\pi\)
\(18\) −0.637954 + 0.409988i −0.00835373 + 0.00536862i
\(19\) 41.0506 + 12.0535i 0.495666 + 0.145541i 0.520005 0.854163i \(-0.325930\pi\)
−0.0243391 + 0.999704i \(0.507748\pi\)
\(20\) −21.9715 152.815i −0.245649 1.70852i
\(21\) −8.17350 17.8975i −0.0849335 0.185978i
\(22\) 0.339987 2.36466i 0.00329479 0.0229158i
\(23\) −17.0280 118.432i −0.154373 1.07369i −0.908779 0.417279i \(-0.862984\pi\)
0.754406 0.656408i \(-0.227925\pi\)
\(24\) 3.40091 + 2.18563i 0.0289253 + 0.0185892i
\(25\) −162.462 187.491i −1.29970 1.49993i
\(26\) −5.41244 3.47836i −0.0408256 0.0262370i
\(27\) 11.2162 + 24.5601i 0.0799467 + 0.175059i
\(28\) −34.3287 + 39.6175i −0.231697 + 0.267393i
\(29\) −40.1170 −0.256880 −0.128440 0.991717i \(-0.540997\pi\)
−0.128440 + 0.991717i \(0.540997\pi\)
\(30\) 4.88254 0.0297142
\(31\) 12.0283 13.8813i 0.0696883 0.0804246i −0.719835 0.694145i \(-0.755782\pi\)
0.789523 + 0.613721i \(0.210328\pi\)
\(32\) 2.29963 15.9943i 0.0127038 0.0883566i
\(33\) −81.6122 23.9635i −0.430511 0.126409i
\(34\) 4.87115 + 1.43030i 0.0245704 + 0.00721453i
\(35\) −18.0285 + 125.391i −0.0870678 + 0.605570i
\(36\) 47.1081 54.3657i 0.218093 0.251693i
\(37\) −43.1585 −0.191763 −0.0958813 0.995393i \(-0.530567\pi\)
−0.0958813 + 0.995393i \(0.530567\pi\)
\(38\) 3.60494 0.0153894
\(39\) −150.009 + 173.119i −0.615913 + 0.710802i
\(40\) −10.8127 23.6765i −0.0427409 0.0935896i
\(41\) −204.742 131.580i −0.779886 0.501202i 0.0891098 0.996022i \(-0.471598\pi\)
−0.868996 + 0.494820i \(0.835234\pi\)
\(42\) −1.08566 1.25292i −0.00398860 0.00460309i
\(43\) −28.2031 18.1250i −0.100022 0.0642800i 0.489674 0.871906i \(-0.337116\pi\)
−0.589695 + 0.807626i \(0.700752\pi\)
\(44\) 32.2513 + 224.312i 0.110501 + 0.768554i
\(45\) 24.7399 172.070i 0.0819556 0.570014i
\(46\) −4.18808 9.17061i −0.0134239 0.0293942i
\(47\) −15.5732 108.314i −0.0483315 0.336153i −0.999613 0.0278285i \(-0.991141\pi\)
0.951281 0.308325i \(-0.0997683\pi\)
\(48\) −183.732 53.9487i −0.552489 0.162225i
\(49\) −252.364 + 162.185i −0.735756 + 0.472842i
\(50\) −17.5853 11.3014i −0.0497388 0.0319652i
\(51\) 75.0884 164.421i 0.206166 0.451441i
\(52\) 585.588 + 171.944i 1.56166 + 0.458546i
\(53\) 381.142 244.945i 0.987810 0.634827i 0.0562506 0.998417i \(-0.482085\pi\)
0.931559 + 0.363590i \(0.118449\pi\)
\(54\) 1.48982 + 1.71934i 0.00375441 + 0.00433282i
\(55\) 358.629 + 413.880i 0.879228 + 1.01468i
\(56\) −3.67142 + 8.03929i −0.00876096 + 0.0191838i
\(57\) 18.2662 127.045i 0.0424460 0.295219i
\(58\) −3.24332 + 0.952325i −0.00734256 + 0.00215597i
\(59\) 387.615 447.332i 0.855308 0.987078i −0.144689 0.989477i \(-0.546218\pi\)
0.999997 + 0.00239917i \(0.000763680\pi\)
\(60\) −444.398 + 130.487i −0.956192 + 0.280763i
\(61\) −185.319 405.791i −0.388978 0.851742i −0.998270 0.0587964i \(-0.981274\pi\)
0.609292 0.792946i \(-0.291454\pi\)
\(62\) 0.642918 1.40779i 0.00131695 0.00288371i
\(63\) −49.6563 + 31.9121i −0.0993032 + 0.0638183i
\(64\) 72.4775 + 504.092i 0.141558 + 0.984555i
\(65\) 1415.12 415.516i 2.70037 0.792899i
\(66\) −7.16693 −0.0133665
\(67\) −78.4850 + 542.774i −0.143111 + 0.989707i
\(68\) −481.586 −0.858836
\(69\) −344.410 + 101.128i −0.600900 + 0.176440i
\(70\) 1.51908 + 10.5654i 0.00259378 + 0.0180401i
\(71\) 633.999 407.446i 1.05974 0.681056i 0.109951 0.993937i \(-0.464930\pi\)
0.949792 + 0.312881i \(0.101294\pi\)
\(72\) 5.03816 11.0320i 0.00824657 0.0180575i
\(73\) −376.126 823.600i −0.603043 1.32048i −0.927232 0.374488i \(-0.877818\pi\)
0.324188 0.945993i \(-0.394909\pi\)
\(74\) −3.48922 + 1.02453i −0.00548127 + 0.00160944i
\(75\) −487.386 + 562.474i −0.750380 + 0.865985i
\(76\) −328.113 + 96.3428i −0.495226 + 0.145412i
\(77\) 26.4635 184.057i 0.0391661 0.272406i
\(78\) −8.01806 + 17.5571i −0.0116393 + 0.0254866i
\(79\) −177.331 204.651i −0.252548 0.291456i 0.615293 0.788299i \(-0.289038\pi\)
−0.867840 + 0.496843i \(0.834492\pi\)
\(80\) 807.377 + 931.762i 1.12834 + 1.30218i
\(81\) 68.1415 43.7919i 0.0934726 0.0600712i
\(82\) −19.6762 5.77746i −0.0264985 0.00778066i
\(83\) −448.331 + 981.708i −0.592900 + 1.29827i 0.340773 + 0.940146i \(0.389311\pi\)
−0.933674 + 0.358125i \(0.883416\pi\)
\(84\) 132.299 + 85.0235i 0.171845 + 0.110438i
\(85\) −979.041 + 629.192i −1.24932 + 0.802887i
\(86\) −2.71039 0.795841i −0.00339847 0.000997881i
\(87\) 17.1277 + 119.126i 0.0211067 + 0.146800i
\(88\) 15.8716 + 34.7540i 0.0192264 + 0.0420999i
\(89\) −118.907 + 827.013i −0.141619 + 0.984980i 0.787794 + 0.615939i \(0.211223\pi\)
−0.929413 + 0.369041i \(0.879686\pi\)
\(90\) −2.08457 14.4985i −0.00244148 0.0169809i
\(91\) −421.286 270.744i −0.485306 0.311887i
\(92\) 626.276 + 722.761i 0.709715 + 0.819055i
\(93\) −46.3556 29.7909i −0.0516865 0.0332169i
\(94\) −3.83027 8.38712i −0.00420279 0.00920283i
\(95\) −541.167 + 624.540i −0.584448 + 0.674489i
\(96\) −48.4762 −0.0515373
\(97\) −940.202 −0.984155 −0.492077 0.870551i \(-0.663762\pi\)
−0.492077 + 0.870551i \(0.663762\pi\)
\(98\) −16.5527 + 19.1029i −0.0170620 + 0.0196906i
\(99\) −36.3149 + 252.576i −0.0368665 + 0.256412i
\(100\) 1902.61 + 558.656i 1.90261 + 0.558656i
\(101\) 1268.37 + 372.427i 1.24958 + 0.366910i 0.838606 0.544738i \(-0.183371\pi\)
0.410973 + 0.911648i \(0.365189\pi\)
\(102\) 2.16751 15.0754i 0.00210407 0.0146341i
\(103\) −1342.40 + 1549.21i −1.28418 + 1.48202i −0.493563 + 0.869710i \(0.664306\pi\)
−0.790616 + 0.612312i \(0.790240\pi\)
\(104\) 102.895 0.0970160
\(105\) 380.041 0.353221
\(106\) 24.9994 28.8508i 0.0229071 0.0264362i
\(107\) −729.008 1596.30i −0.658653 1.44225i −0.883772 0.467917i \(-0.845005\pi\)
0.225120 0.974331i \(-0.427723\pi\)
\(108\) −181.550 116.675i −0.161756 0.103954i
\(109\) −1362.30 1572.18i −1.19711 1.38154i −0.905140 0.425113i \(-0.860234\pi\)
−0.291971 0.956427i \(-0.594311\pi\)
\(110\) 38.8189 + 24.9474i 0.0336476 + 0.0216240i
\(111\) 18.4263 + 128.158i 0.0157563 + 0.109587i
\(112\) 59.5768 414.366i 0.0502632 0.349588i
\(113\) −561.160 1228.77i −0.467164 1.02295i −0.985796 0.167948i \(-0.946286\pi\)
0.518632 0.854997i \(-0.326441\pi\)
\(114\) −1.53911 10.7047i −0.00126448 0.00879465i
\(115\) 2217.48 + 651.110i 1.79809 + 0.527968i
\(116\) 269.749 173.357i 0.215910 0.138757i
\(117\) 578.117 + 371.533i 0.456811 + 0.293575i
\(118\) 20.7183 45.3667i 0.0161633 0.0353927i
\(119\) 379.154 + 111.330i 0.292076 + 0.0857611i
\(120\) −65.6901 + 42.2165i −0.0499722 + 0.0321152i
\(121\) 345.199 + 398.381i 0.259353 + 0.299309i
\(122\) −24.6154 28.4076i −0.0182670 0.0210812i
\(123\) −303.308 + 664.151i −0.222344 + 0.486866i
\(124\) −20.8934 + 145.316i −0.0151313 + 0.105240i
\(125\) 2281.16 669.810i 1.63227 0.479277i
\(126\) −3.25699 + 3.75876i −0.00230282 + 0.00265760i
\(127\) −1003.05 + 294.523i −0.700838 + 0.205785i −0.612691 0.790323i \(-0.709913\pi\)
−0.0881475 + 0.996107i \(0.528095\pi\)
\(128\) 71.5267 + 156.622i 0.0493916 + 0.108153i
\(129\) −41.7804 + 91.4864i −0.0285160 + 0.0624413i
\(130\) 104.544 67.1861i 0.0705314 0.0453278i
\(131\) 56.7943 + 395.013i 0.0378789 + 0.263454i 0.999957 0.00932210i \(-0.00296736\pi\)
−0.962078 + 0.272776i \(0.912058\pi\)
\(132\) 652.318 191.538i 0.430129 0.126297i
\(133\) 280.597 0.182938
\(134\) 6.53950 + 45.7445i 0.00421587 + 0.0294905i
\(135\) −521.517 −0.332482
\(136\) −77.9038 + 22.8746i −0.0491191 + 0.0144227i
\(137\) −82.2617 572.143i −0.0513000 0.356799i −0.999262 0.0384153i \(-0.987769\pi\)
0.947962 0.318384i \(-0.103140\pi\)
\(138\) −25.4437 + 16.3517i −0.0156950 + 0.0100866i
\(139\) 235.498 515.668i 0.143703 0.314665i −0.824071 0.566486i \(-0.808302\pi\)
0.967774 + 0.251822i \(0.0810296\pi\)
\(140\) −420.626 921.042i −0.253924 0.556016i
\(141\) −314.985 + 92.4880i −0.188132 + 0.0552404i
\(142\) 41.5844 47.9910i 0.0245752 0.0283613i
\(143\) −2077.21 + 609.923i −1.21472 + 0.356674i
\(144\) −81.7552 + 568.620i −0.0473120 + 0.329062i
\(145\) 321.895 704.853i 0.184358 0.403688i
\(146\) −49.9597 57.6565i −0.0283198 0.0326828i
\(147\) 589.347 + 680.143i 0.330670 + 0.381614i
\(148\) 290.200 186.500i 0.161178 0.103583i
\(149\) −186.568 54.7813i −0.102579 0.0301199i 0.230040 0.973181i \(-0.426114\pi\)
−0.332619 + 0.943061i \(0.607932\pi\)
\(150\) −26.0511 + 57.0440i −0.0141804 + 0.0310508i
\(151\) −291.575 187.384i −0.157139 0.100987i 0.459708 0.888070i \(-0.347954\pi\)
−0.616847 + 0.787083i \(0.711590\pi\)
\(152\) −48.5011 + 31.1698i −0.0258813 + 0.0166329i
\(153\) −520.300 152.774i −0.274926 0.0807257i
\(154\) −2.22980 15.5086i −0.00116677 0.00811507i
\(155\) 147.381 + 322.719i 0.0763736 + 0.167235i
\(156\) 260.569 1812.29i 0.133732 0.930126i
\(157\) −505.209 3513.80i −0.256816 1.78619i −0.555171 0.831736i \(-0.687347\pi\)
0.298355 0.954455i \(-0.403562\pi\)
\(158\) −19.1947 12.3357i −0.00966489 0.00621124i
\(159\) −890.083 1027.21i −0.443951 0.512346i
\(160\) 262.566 + 168.741i 0.129735 + 0.0833759i
\(161\) −325.986 713.810i −0.159573 0.349417i
\(162\) 4.46945 5.15802i 0.00216761 0.00250156i
\(163\) 542.822 0.260841 0.130421 0.991459i \(-0.458367\pi\)
0.130421 + 0.991459i \(0.458367\pi\)
\(164\) 1945.29 0.926230
\(165\) 1075.89 1241.64i 0.507623 0.585828i
\(166\) −12.9416 + 90.0106i −0.00605097 + 0.0420854i
\(167\) −2829.13 830.706i −1.31092 0.384922i −0.449715 0.893172i \(-0.648474\pi\)
−0.861209 + 0.508250i \(0.830293\pi\)
\(168\) 25.4399 + 7.46982i 0.0116829 + 0.00343041i
\(169\) −517.075 + 3596.34i −0.235355 + 1.63693i
\(170\) −64.2160 + 74.1092i −0.0289714 + 0.0334348i
\(171\) −385.053 −0.172197
\(172\) 267.962 0.118790
\(173\) −187.314 + 216.172i −0.0823194 + 0.0950016i −0.795415 0.606065i \(-0.792747\pi\)
0.713096 + 0.701067i \(0.247293\pi\)
\(174\) 4.21261 + 9.22433i 0.00183539 + 0.00401894i
\(175\) −1368.78 879.663i −0.591258 0.379979i
\(176\) −1185.12 1367.70i −0.507568 0.585765i
\(177\) −1493.83 960.023i −0.634366 0.407682i
\(178\) 10.0190 + 69.6839i 0.00421887 + 0.0293429i
\(179\) 647.581 4504.03i 0.270405 1.88071i −0.173797 0.984781i \(-0.555604\pi\)
0.444202 0.895927i \(-0.353487\pi\)
\(180\) 577.210 + 1263.91i 0.239015 + 0.523370i
\(181\) 575.534 + 4002.93i 0.236349 + 1.64384i 0.669711 + 0.742622i \(0.266418\pi\)
−0.433363 + 0.901220i \(0.642673\pi\)
\(182\) −40.4867 11.8880i −0.0164894 0.00484173i
\(183\) −1125.86 + 723.548i −0.454788 + 0.292274i
\(184\) 135.640 + 87.1703i 0.0543451 + 0.0349254i
\(185\) 346.301 758.293i 0.137625 0.301356i
\(186\) −4.45489 1.30807i −0.00175617 0.000515659i
\(187\) 1437.10 923.571i 0.561986 0.361167i
\(188\) 572.770 + 661.012i 0.222200 + 0.256432i
\(189\) 115.962 + 133.828i 0.0446298 + 0.0515055i
\(190\) −28.9258 + 63.3386i −0.0110447 + 0.0241845i
\(191\) −412.965 + 2872.24i −0.156446 + 1.08810i 0.748672 + 0.662941i \(0.230692\pi\)
−0.905117 + 0.425162i \(0.860217\pi\)
\(192\) 1465.94 430.439i 0.551016 0.161793i
\(193\) 286.733 330.908i 0.106940 0.123416i −0.699756 0.714382i \(-0.746708\pi\)
0.806696 + 0.590966i \(0.201253\pi\)
\(194\) −76.0121 + 22.3192i −0.0281307 + 0.00825991i
\(195\) −1838.04 4024.74i −0.674998 1.47804i
\(196\) 996.065 2181.08i 0.362997 0.794854i
\(197\) −1303.62 + 837.787i −0.471468 + 0.302994i −0.754715 0.656053i \(-0.772225\pi\)
0.283247 + 0.959047i \(0.408588\pi\)
\(198\) 3.05988 + 21.2819i 0.00109826 + 0.00763860i
\(199\) 853.025 250.471i 0.303866 0.0892231i −0.126245 0.991999i \(-0.540293\pi\)
0.430111 + 0.902776i \(0.358474\pi\)
\(200\) 334.311 0.118197
\(201\) 1645.26 + 1.32415i 0.577350 + 0.000464669i
\(202\) 111.384 0.0387969
\(203\) −252.449 + 74.1258i −0.0872831 + 0.0256286i
\(204\) 205.610 + 1430.05i 0.0705667 + 0.490802i
\(205\) 3954.68 2541.52i 1.34735 0.865890i
\(206\) −71.7521 + 157.115i −0.0242680 + 0.0531395i
\(207\) 447.340 + 979.537i 0.150204 + 0.328901i
\(208\) −4676.39 + 1373.11i −1.55889 + 0.457731i
\(209\) 794.363 916.743i 0.262905 0.303409i
\(210\) 30.7250 9.02168i 0.0100963 0.00296455i
\(211\) 324.087 2254.07i 0.105740 0.735435i −0.866113 0.499848i \(-0.833389\pi\)
0.971853 0.235588i \(-0.0757015\pi\)
\(212\) −1504.34 + 3294.05i −0.487352 + 1.06715i
\(213\) −1480.58 1708.68i −0.476280 0.549656i
\(214\) −96.8320 111.750i −0.0309313 0.0356966i
\(215\) 544.755 350.093i 0.172800 0.111052i
\(216\) −34.9102 10.2506i −0.0109969 0.00322900i
\(217\) 50.0427 109.578i 0.0156549 0.0342795i
\(218\) −147.459 94.7664i −0.0458129 0.0294421i
\(219\) −2285.07 + 1468.52i −0.705071 + 0.453121i
\(220\) −4199.94 1233.21i −1.28709 0.377924i
\(221\) −654.735 4553.78i −0.199286 1.38607i
\(222\) 4.53200 + 9.92370i 0.00137013 + 0.00300016i
\(223\) 406.884 2829.94i 0.122184 0.849807i −0.832890 0.553439i \(-0.813315\pi\)
0.955074 0.296368i \(-0.0957755\pi\)
\(224\) −15.0821 104.898i −0.00449873 0.0312893i
\(225\) 1878.33 + 1207.13i 0.556543 + 0.357668i
\(226\) −74.5372 86.0206i −0.0219387 0.0253186i
\(227\) 961.403 + 617.856i 0.281104 + 0.180655i 0.673594 0.739102i \(-0.264750\pi\)
−0.392490 + 0.919756i \(0.628386\pi\)
\(228\) 426.173 + 933.188i 0.123789 + 0.271061i
\(229\) −1326.24 + 1530.56i −0.382709 + 0.441670i −0.914120 0.405445i \(-0.867117\pi\)
0.531410 + 0.847114i \(0.321662\pi\)
\(230\) 194.732 0.0558272
\(231\) −557.850 −0.158891
\(232\) 35.4017 40.8557i 0.0100183 0.0115617i
\(233\) −656.353 + 4565.03i −0.184545 + 1.28354i 0.661303 + 0.750119i \(0.270004\pi\)
−0.845849 + 0.533423i \(0.820905\pi\)
\(234\) 55.5585 + 16.3134i 0.0155212 + 0.00455745i
\(235\) 2028.03 + 595.482i 0.562953 + 0.165298i
\(236\) −673.296 + 4682.88i −0.185711 + 1.29165i
\(237\) −531.993 + 613.952i −0.145809 + 0.168272i
\(238\) 33.2961 0.00906835
\(239\) 2230.84 0.603769 0.301885 0.953344i \(-0.402384\pi\)
0.301885 + 0.953344i \(0.402384\pi\)
\(240\) 2422.13 2795.29i 0.651449 0.751812i
\(241\) 2189.56 + 4794.46i 0.585235 + 1.28149i 0.938279 + 0.345880i \(0.112420\pi\)
−0.353043 + 0.935607i \(0.614853\pi\)
\(242\) 37.3652 + 24.0132i 0.00992532 + 0.00637862i
\(243\) −159.131 183.647i −0.0420093 0.0484814i
\(244\) 2999.63 + 1927.75i 0.787016 + 0.505785i
\(245\) −824.624 5735.39i −0.215034 1.49559i
\(246\) −8.75531 + 60.8945i −0.00226918 + 0.0157825i
\(247\) −1357.08 2971.60i −0.349591 0.765498i
\(248\) 3.52250 + 24.4995i 0.000901932 + 0.00627307i
\(249\) 3106.56 + 912.168i 0.790644 + 0.232154i
\(250\) 168.524 108.304i 0.0426336 0.0273989i
\(251\) 2868.80 + 1843.67i 0.721424 + 0.463631i 0.849132 0.528181i \(-0.177126\pi\)
−0.127708 + 0.991812i \(0.540762\pi\)
\(252\) 195.990 429.158i 0.0489929 0.107279i
\(253\) −3254.97 955.744i −0.808846 0.237499i
\(254\) −74.1018 + 47.6223i −0.0183053 + 0.0117641i
\(255\) 2286.36 + 2638.60i 0.561480 + 0.647982i
\(256\) −2658.54 3068.11i −0.649057 0.749052i
\(257\) 144.285 315.941i 0.0350205 0.0766842i −0.891313 0.453388i \(-0.850215\pi\)
0.926334 + 0.376704i \(0.122943\pi\)
\(258\) −1.20604 + 8.38818i −0.000291026 + 0.00202413i
\(259\) −271.589 + 79.7459i −0.0651573 + 0.0191319i
\(260\) −7719.77 + 8909.09i −1.84138 + 2.12507i
\(261\) 346.427 101.720i 0.0821583 0.0241239i
\(262\) 13.9687 + 30.5872i 0.00329386 + 0.00721254i
\(263\) 1467.94 3214.33i 0.344170 0.753628i −0.655829 0.754909i \(-0.727681\pi\)
0.999999 + 0.00128193i \(0.000408052\pi\)
\(264\) 96.4245 61.9683i 0.0224792 0.0144465i
\(265\) 1245.42 + 8662.07i 0.288700 + 2.00795i
\(266\) 22.6853 6.66100i 0.00522904 0.00153538i
\(267\) 2506.55 0.574526
\(268\) −1817.74 3988.80i −0.414315 0.909158i
\(269\) −2745.37 −0.622262 −0.311131 0.950367i \(-0.600708\pi\)
−0.311131 + 0.950367i \(0.600708\pi\)
\(270\) −42.1629 + 12.3801i −0.00950352 + 0.00279049i
\(271\) −788.702 5485.55i −0.176791 1.22961i −0.864130 0.503269i \(-0.832130\pi\)
0.687339 0.726337i \(-0.258779\pi\)
\(272\) 3235.33 2079.22i 0.721216 0.463497i
\(273\) −624.100 + 1366.59i −0.138360 + 0.302966i
\(274\) −20.2325 44.3030i −0.00446092 0.00976804i
\(275\) −6748.96 + 1981.67i −1.47992 + 0.434543i
\(276\) 1878.83 2168.28i 0.409754 0.472882i
\(277\) 7292.60 2141.30i 1.58184 0.464470i 0.631421 0.775440i \(-0.282472\pi\)
0.950420 + 0.310970i \(0.100654\pi\)
\(278\) 6.79790 47.2805i 0.00146659 0.0102003i
\(279\) −68.6718 + 150.370i −0.0147357 + 0.0322668i
\(280\) −111.791 129.013i −0.0238599 0.0275358i
\(281\) 1970.13 + 2273.65i 0.418249 + 0.482685i 0.925303 0.379229i \(-0.123811\pi\)
−0.507054 + 0.861915i \(0.669265\pi\)
\(282\) −23.2699 + 14.9547i −0.00491385 + 0.00315794i
\(283\) −3115.23 914.713i −0.654350 0.192134i −0.0623273 0.998056i \(-0.519852\pi\)
−0.592023 + 0.805921i \(0.701670\pi\)
\(284\) −2502.35 + 5479.38i −0.522842 + 1.14486i
\(285\) 2085.60 + 1340.33i 0.433474 + 0.278577i
\(286\) −153.456 + 98.6204i −0.0317275 + 0.0203900i
\(287\) −1531.53 449.699i −0.314995 0.0924908i
\(288\) 20.6966 + 143.948i 0.00423459 + 0.0294522i
\(289\) −532.866 1166.81i −0.108460 0.237495i
\(290\) 9.29186 64.6263i 0.00188151 0.0130862i
\(291\) 401.414 + 2791.90i 0.0808636 + 0.562419i
\(292\) 6088.10 + 3912.59i 1.22013 + 0.784133i
\(293\) 4216.17 + 4865.72i 0.840653 + 0.970165i 0.999854 0.0170812i \(-0.00543739\pi\)
−0.159201 + 0.987246i \(0.550892\pi\)
\(294\) 63.7924 + 40.9969i 0.0126546 + 0.00813261i
\(295\) 4749.40 + 10399.7i 0.937358 + 2.05253i
\(296\) 38.0858 43.9533i 0.00747869 0.00863086i
\(297\) 765.519 0.149562
\(298\) −16.3838 −0.00318487
\(299\) −5982.84 + 6904.57i −1.15718 + 1.33546i
\(300\) 846.601 5888.24i 0.162928 1.13319i
\(301\) −210.968 61.9457i −0.0403986 0.0118621i
\(302\) −28.0211 8.22774i −0.00533919 0.00156773i
\(303\) 564.385 3925.38i 0.107007 0.744249i
\(304\) 1788.34 2063.85i 0.337395 0.389375i
\(305\) 8616.72 1.61768
\(306\) −45.6911 −0.00853591
\(307\) 4689.45 5411.91i 0.871794 1.00610i −0.128103 0.991761i \(-0.540889\pi\)
0.999897 0.0143433i \(-0.00456576\pi\)
\(308\) 617.423 + 1351.97i 0.114224 + 0.250115i
\(309\) 5173.46 + 3324.78i 0.952452 + 0.612104i
\(310\) 19.5762 + 22.5921i 0.00358662 + 0.00413917i
\(311\) −5406.21 3474.36i −0.985718 0.633482i −0.0547178 0.998502i \(-0.517426\pi\)
−0.931000 + 0.365020i \(0.881062\pi\)
\(312\) −43.9304 305.542i −0.00797137 0.0554421i
\(313\) 468.002 3255.03i 0.0845145 0.587811i −0.902923 0.429802i \(-0.858583\pi\)
0.987438 0.158009i \(-0.0505076\pi\)
\(314\) −124.258 272.086i −0.0223320 0.0489003i
\(315\) −162.256 1128.52i −0.0290226 0.201857i
\(316\) 2076.74 + 609.785i 0.369701 + 0.108554i
\(317\) −3899.97 + 2506.36i −0.690991 + 0.444073i −0.838438 0.544997i \(-0.816531\pi\)
0.147447 + 0.989070i \(0.452895\pi\)
\(318\) −96.3448 61.9171i −0.0169898 0.0109187i
\(319\) −472.500 + 1034.63i −0.0829308 + 0.181593i
\(320\) −9438.42 2771.37i −1.64882 0.484139i
\(321\) −4428.92 + 2846.30i −0.770088 + 0.494906i
\(322\) −43.2998 49.9707i −0.00749380 0.00864831i
\(323\) 1688.09 + 1948.16i 0.290799 + 0.335600i
\(324\) −268.950 + 588.918i −0.0461163 + 0.100981i
\(325\) −2695.87 + 18750.2i −0.460123 + 3.20023i
\(326\) 43.8854 12.8859i 0.00745578 0.00218922i
\(327\) −4086.91 + 4716.55i −0.691153 + 0.797633i
\(328\) 314.680 92.3984i 0.0529735 0.0155544i
\(329\) −298.136 652.826i −0.0499597 0.109397i
\(330\) 57.5069 125.923i 0.00959288 0.0210055i
\(331\) −1200.40 + 771.452i −0.199336 + 0.128105i −0.636501 0.771276i \(-0.719619\pi\)
0.437165 + 0.899381i \(0.355982\pi\)
\(332\) −1227.64 8538.43i −0.202938 1.41147i
\(333\) 372.693 109.432i 0.0613316 0.0180086i
\(334\) −248.445 −0.0407015
\(335\) −8906.74 5734.15i −1.45262 0.935194i
\(336\) −1255.88 −0.203910
\(337\) −2835.96 + 832.713i −0.458411 + 0.134602i −0.502782 0.864414i \(-0.667690\pi\)
0.0443705 + 0.999015i \(0.485872\pi\)
\(338\) 43.5686 + 303.026i 0.00701130 + 0.0487647i
\(339\) −3409.20 + 2190.96i −0.546202 + 0.351022i
\(340\) 3864.21 8461.44i 0.616371 1.34966i
\(341\) −216.336 473.709i −0.0343555 0.0752280i
\(342\) −31.1302 + 9.14066i −0.00492202 + 0.00144523i
\(343\) −2761.56 + 3187.01i −0.434724 + 0.501699i
\(344\) 43.3469 12.7278i 0.00679393 0.00199488i
\(345\) 986.708 6862.71i 0.153979 1.07094i
\(346\) −10.0121 + 21.9234i −0.00155564 + 0.00340639i
\(347\) 5220.62 + 6024.92i 0.807658 + 0.932088i 0.998775 0.0494798i \(-0.0157563\pi\)
−0.191117 + 0.981567i \(0.561211\pi\)
\(348\) −629.945 726.995i −0.0970362 0.111986i
\(349\) −182.147 + 117.059i −0.0279373 + 0.0179542i −0.554535 0.832160i \(-0.687104\pi\)
0.526598 + 0.850115i \(0.323467\pi\)
\(350\) −131.543 38.6246i −0.0200894 0.00589878i
\(351\) 856.430 1875.32i 0.130236 0.285177i
\(352\) −385.413 247.690i −0.0583596 0.0375054i
\(353\) −4068.68 + 2614.78i −0.613467 + 0.394251i −0.810156 0.586215i \(-0.800618\pi\)
0.196689 + 0.980466i \(0.436981\pi\)
\(354\) −143.560 42.1531i −0.0215541 0.00632885i
\(355\) 2071.65 + 14408.6i 0.309723 + 2.15417i
\(356\) −2774.23 6074.71i −0.413016 0.904379i
\(357\) 168.712 1173.42i 0.0250117 0.173960i
\(358\) −54.5650 379.508i −0.00805545 0.0560269i
\(359\) −8186.42 5261.09i −1.20352 0.773453i −0.223956 0.974599i \(-0.571897\pi\)
−0.979561 + 0.201146i \(0.935533\pi\)
\(360\) 153.406 + 177.040i 0.0224590 + 0.0259190i
\(361\) −4230.29 2718.64i −0.616751 0.396362i
\(362\) 141.554 + 309.961i 0.0205523 + 0.0450032i
\(363\) 1035.60 1195.14i 0.149738 0.172806i
\(364\) 4002.72 0.576372
\(365\) 17488.6 2.50793
\(366\) −73.8461 + 85.2229i −0.0105464 + 0.0121712i
\(367\) 1395.55 9706.23i 0.198493 1.38055i −0.610168 0.792272i \(-0.708898\pi\)
0.808661 0.588276i \(-0.200193\pi\)
\(368\) −7327.86 2151.65i −1.03802 0.304790i
\(369\) 2101.67 + 617.106i 0.296500 + 0.0870603i
\(370\) 9.99635 69.5262i 0.00140456 0.00976890i
\(371\) 1945.87 2245.65i 0.272303 0.314255i
\(372\) 440.432 0.0613854
\(373\) 3519.80 0.488601 0.244301 0.969700i \(-0.421442\pi\)
0.244301 + 0.969700i \(0.421442\pi\)
\(374\) 94.2606 108.783i 0.0130324 0.0150401i
\(375\) −2962.91 6487.86i −0.408010 0.893418i
\(376\) 124.051 + 79.7229i 0.0170145 + 0.0109346i
\(377\) 2005.96 + 2315.01i 0.274038 + 0.316257i
\(378\) 12.5521 + 8.06672i 0.00170796 + 0.00109764i
\(379\) 1278.77 + 8894.02i 0.173314 + 1.20542i 0.871823 + 0.489822i \(0.162938\pi\)
−0.698509 + 0.715601i \(0.746153\pi\)
\(380\) 940.020 6537.98i 0.126900 0.882609i
\(381\) 1302.82 + 2852.78i 0.175185 + 0.383602i
\(382\) 34.7963 + 242.014i 0.00466056 + 0.0324149i
\(383\) −4892.23 1436.49i −0.652693 0.191648i −0.0614105 0.998113i \(-0.519560\pi\)
−0.591282 + 0.806465i \(0.701378\pi\)
\(384\) 434.544 279.265i 0.0577480 0.0371124i
\(385\) 3021.54 + 1941.82i 0.399979 + 0.257051i
\(386\) 15.3261 33.5595i 0.00202093 0.00442521i
\(387\) 289.503 + 85.0059i 0.0380266 + 0.0111656i
\(388\) 6321.97 4062.88i 0.827189 0.531602i
\(389\) 3903.71 + 4505.12i 0.508807 + 0.587195i 0.950793 0.309827i \(-0.100271\pi\)
−0.441986 + 0.897022i \(0.645726\pi\)
\(390\) −244.141 281.754i −0.0316989 0.0365825i
\(391\) 2994.77 6557.64i 0.387346 0.848169i
\(392\) 57.5306 400.134i 0.00741258 0.0515556i
\(393\) 1148.73 337.297i 0.147445 0.0432936i
\(394\) −85.5054 + 98.6785i −0.0109333 + 0.0126176i
\(395\) 5018.59 1473.59i 0.639273 0.187707i
\(396\) −847.269 1855.26i −0.107517 0.235430i
\(397\) 4582.90 10035.1i 0.579368 1.26864i −0.362290 0.932065i \(-0.618005\pi\)
0.941658 0.336573i \(-0.109268\pi\)
\(398\) 63.0183 40.4994i 0.00793674 0.00510063i
\(399\) −119.799 833.222i −0.0150312 0.104544i
\(400\) −15193.8 + 4461.31i −1.89923 + 0.557664i
\(401\) 7471.77 0.930479 0.465240 0.885185i \(-0.345968\pi\)
0.465240 + 0.885185i \(0.345968\pi\)
\(402\) 133.045 38.9492i 0.0165066 0.00483236i
\(403\) −1402.49 −0.173357
\(404\) −10138.0 + 2976.77i −1.24847 + 0.366584i
\(405\) 222.659 + 1548.63i 0.0273185 + 0.190005i
\(406\) −18.6500 + 11.9856i −0.00227977 + 0.00146512i
\(407\) −508.324 + 1113.07i −0.0619083 + 0.135560i
\(408\) 101.186 + 221.566i 0.0122781 + 0.0268852i
\(409\) 2533.18 743.810i 0.306254 0.0899243i −0.124995 0.992157i \(-0.539891\pi\)
0.431249 + 0.902233i \(0.358073\pi\)
\(410\) 259.390 299.352i 0.0312448 0.0360584i
\(411\) −1663.84 + 488.547i −0.199686 + 0.0586331i
\(412\) 2331.78 16217.9i 0.278831 1.93931i
\(413\) 1612.64 3531.20i 0.192138 0.420723i
\(414\) 59.4188 + 68.5730i 0.00705381 + 0.00814053i
\(415\) −13651.2 15754.3i −1.61472 1.86349i
\(416\) −1037.96 + 667.056i −0.122332 + 0.0786180i
\(417\) −1631.80 479.141i −0.191630 0.0562677i
\(418\) 42.4592 92.9727i 0.00496830 0.0108791i
\(419\) 7932.62 + 5097.98i 0.924902 + 0.594398i 0.914076 0.405543i \(-0.132918\pi\)
0.0108257 + 0.999941i \(0.496554\pi\)
\(420\) −2555.42 + 1642.27i −0.296885 + 0.190796i
\(421\) −7632.87 2241.21i −0.883618 0.259454i −0.191721 0.981450i \(-0.561407\pi\)
−0.691897 + 0.721996i \(0.743225\pi\)
\(422\) −27.3075 189.928i −0.00315002 0.0219088i
\(423\) 409.121 + 895.850i 0.0470264 + 0.102973i
\(424\) −86.8876 + 604.316i −0.00995196 + 0.0692174i
\(425\) −2127.27 14795.5i −0.242795 1.68867i
\(426\) −160.262 102.994i −0.0182270 0.0117138i
\(427\) −1915.98 2211.16i −0.217144 0.250598i
\(428\) 11800.0 + 7583.39i 1.33265 + 0.856441i
\(429\) 2698.00 + 5907.79i 0.303638 + 0.664874i
\(430\) 35.7308 41.2356i 0.00400719 0.00462455i
\(431\) 7592.91 0.848579 0.424290 0.905526i \(-0.360524\pi\)
0.424290 + 0.905526i \(0.360524\pi\)
\(432\) 1723.40 0.191938
\(433\) −2338.59 + 2698.88i −0.259551 + 0.299538i −0.870536 0.492104i \(-0.836228\pi\)
0.610985 + 0.791642i \(0.290773\pi\)
\(434\) 1.44454 10.0470i 0.000159769 0.00111122i
\(435\) −2230.47 654.924i −0.245845 0.0721867i
\(436\) 15954.1 + 4684.54i 1.75243 + 0.514561i
\(437\) 728.519 5066.96i 0.0797478 0.554658i
\(438\) −149.879 + 172.970i −0.0163505 + 0.0188694i
\(439\) 1401.35 0.152353 0.0761764 0.997094i \(-0.475729\pi\)
0.0761764 + 0.997094i \(0.475729\pi\)
\(440\) −737.979 −0.0799586
\(441\) 1768.04 2040.43i 0.190913 0.220325i
\(442\) −161.034 352.615i −0.0173294 0.0379462i
\(443\) −907.006 582.897i −0.0972757 0.0625153i 0.491099 0.871104i \(-0.336595\pi\)
−0.588374 + 0.808589i \(0.700232\pi\)
\(444\) −677.706 782.114i −0.0724381 0.0835980i
\(445\) −13576.5 8725.07i −1.44626 0.929457i
\(446\) −34.2839 238.450i −0.00363989 0.0253160i
\(447\) −83.0170 + 577.396i −0.00878427 + 0.0610960i
\(448\) 1387.52 + 3038.25i 0.146326 + 0.320410i
\(449\) −3.26943 22.7394i −0.000343639 0.00239006i 0.989649 0.143510i \(-0.0458388\pi\)
−0.989993 + 0.141120i \(0.954930\pi\)
\(450\) 180.513 + 53.0033i 0.0189099 + 0.00555244i
\(451\) −5804.96 + 3730.62i −0.606086 + 0.389508i
\(452\) 9083.13 + 5837.38i 0.945209 + 0.607449i
\(453\) −431.944 + 945.825i −0.0448002 + 0.0980987i
\(454\) 92.3933 + 27.1291i 0.00955117 + 0.00280448i
\(455\) 8137.34 5229.55i 0.838427 0.538824i
\(456\) 113.265 + 130.715i 0.0116318 + 0.0134238i
\(457\) 8726.51 + 10070.9i 0.893237 + 1.03085i 0.999334 + 0.0364943i \(0.0116191\pi\)
−0.106097 + 0.994356i \(0.533835\pi\)
\(458\) −70.8884 + 155.224i −0.00723231 + 0.0158366i
\(459\) −231.517 + 1610.24i −0.0235431 + 0.163746i
\(460\) −17724.1 + 5204.26i −1.79650 + 0.527499i
\(461\) −10816.1 + 12482.4i −1.09275 + 1.26110i −0.129760 + 0.991545i \(0.541421\pi\)
−0.962986 + 0.269551i \(0.913125\pi\)
\(462\) −45.1003 + 13.2426i −0.00454168 + 0.00133356i
\(463\) −5975.70 13085.0i −0.599815 1.31341i −0.929326 0.369260i \(-0.879611\pi\)
0.329511 0.944152i \(-0.393116\pi\)
\(464\) −1063.73 + 2329.25i −0.106428 + 0.233045i
\(465\) 895.378 575.425i 0.0892950 0.0573864i
\(466\) 55.3041 + 384.648i 0.00549767 + 0.0382371i
\(467\) 14689.4 4313.20i 1.45556 0.427390i 0.544181 0.838968i \(-0.316841\pi\)
0.911374 + 0.411578i \(0.135022\pi\)
\(468\) −5492.79 −0.542531
\(469\) 509.013 + 3560.60i 0.0501152 + 0.350562i
\(470\) 178.095 0.0174785
\(471\) −10218.4 + 3000.40i −0.999660 + 0.293527i
\(472\) 113.514 + 789.506i 0.0110697 + 0.0769915i
\(473\) −799.629 + 513.890i −0.0777314 + 0.0499550i
\(474\) −28.4354 + 62.2648i −0.00275544 + 0.00603358i
\(475\) −4409.23 9654.87i −0.425915 0.932623i
\(476\) −3030.54 + 889.847i −0.291816 + 0.0856850i
\(477\) −2670.25 + 3081.63i −0.256315 + 0.295803i
\(478\) 180.356 52.9572i 0.0172579 0.00506737i
\(479\) 985.993 6857.73i 0.0940525 0.654150i −0.887195 0.461395i \(-0.847349\pi\)
0.981247 0.192754i \(-0.0617420\pi\)
\(480\) 388.969 851.724i 0.0369874 0.0809910i
\(481\) 2158.05 + 2490.52i 0.204571 + 0.236088i
\(482\) 290.833 + 335.639i 0.0274835 + 0.0317177i
\(483\) −1980.46 + 1272.76i −0.186571 + 0.119902i
\(484\) −4042.66 1187.03i −0.379663 0.111479i
\(485\) 7544.11 16519.3i 0.706310 1.54660i
\(486\) −17.2248 11.0697i −0.00160768 0.00103319i
\(487\) −17130.5 + 11009.1i −1.59396 + 1.02437i −0.623896 + 0.781507i \(0.714451\pi\)
−0.970060 + 0.242866i \(0.921912\pi\)
\(488\) 576.801 + 169.364i 0.0535053 + 0.0157106i
\(489\) −231.755 1611.89i −0.0214322 0.149064i
\(490\) −202.819 444.111i −0.0186988 0.0409447i
\(491\) −1785.06 + 12415.3i −0.164070 + 1.14113i 0.726791 + 0.686859i \(0.241011\pi\)
−0.890861 + 0.454275i \(0.849898\pi\)
\(492\) −830.531 5776.47i −0.0761041 0.529316i
\(493\) −2033.41 1306.79i −0.185761 0.119381i
\(494\) −180.257 208.028i −0.0164173 0.0189466i
\(495\) −4146.35 2664.70i −0.376494 0.241958i
\(496\) −487.033 1066.45i −0.0440896 0.0965427i
\(497\) 3236.79 3735.46i 0.292133 0.337139i
\(498\) 272.809 0.0245479
\(499\) 1415.75 0.127010 0.0635049 0.997982i \(-0.479772\pi\)
0.0635049 + 0.997982i \(0.479772\pi\)
\(500\) −12444.2 + 14361.4i −1.11305 + 1.28452i
\(501\) −1258.87 + 8755.65i −0.112260 + 0.780786i
\(502\) 275.699 + 80.9527i 0.0245121 + 0.00719740i
\(503\) 13438.4 + 3945.87i 1.19123 + 0.349776i 0.816493 0.577355i \(-0.195915\pi\)
0.374736 + 0.927132i \(0.377733\pi\)
\(504\) 11.3199 78.7320i 0.00100046 0.00695833i
\(505\) −16720.8 + 19296.9i −1.47340 + 1.70039i
\(506\) −285.841 −0.0251130
\(507\) 10900.0 0.954801
\(508\) 5471.86 6314.86i 0.477903 0.551529i
\(509\) −4929.82 10794.8i −0.429293 0.940021i −0.993441 0.114347i \(-0.963522\pi\)
0.564147 0.825674i \(-0.309205\pi\)
\(510\) 247.481 + 159.047i 0.0214876 + 0.0138092i
\(511\) −3888.70 4487.80i −0.336645 0.388510i
\(512\) −1446.55 929.642i −0.124862 0.0802437i
\(513\) 164.396 + 1143.40i 0.0141487 + 0.0984062i
\(514\) 4.16495 28.9679i 0.000357409 0.00248583i
\(515\) −16448.2 36016.6i −1.40737 3.08171i
\(516\) −114.405 795.705i −0.00976047 0.0678856i
\(517\) −2976.88 874.090i −0.253236 0.0743568i
\(518\) −20.0640 + 12.8944i −0.00170186 + 0.00109372i
\(519\) 721.889 + 463.930i 0.0610547 + 0.0392375i
\(520\) −825.620 + 1807.86i −0.0696266 + 0.152461i
\(521\) 14810.7 + 4348.80i 1.24543 + 0.365690i 0.837051 0.547125i \(-0.184278\pi\)
0.408374 + 0.912815i \(0.366096\pi\)
\(522\) 25.5928 16.4475i 0.00214591 0.00137909i
\(523\) 8181.74 + 9442.23i 0.684058 + 0.789445i 0.986507 0.163720i \(-0.0523495\pi\)
−0.302449 + 0.953166i \(0.597804\pi\)
\(524\) −2088.85 2410.66i −0.174145 0.200974i
\(525\) −2027.73 + 4440.12i −0.168567 + 0.369110i
\(526\) 42.3736 294.715i 0.00351250 0.0244300i
\(527\) 1061.85 311.788i 0.0877706 0.0257718i
\(528\) −3555.37 + 4103.11i −0.293045 + 0.338192i
\(529\) −2062.06 + 605.477i −0.169480 + 0.0497638i
\(530\) 306.314 + 670.734i 0.0251046 + 0.0549714i
\(531\) −2212.97 + 4845.74i −0.180857 + 0.396021i
\(532\) −1886.75 + 1212.54i −0.153761 + 0.0988162i
\(533\) 2644.70 + 18394.3i 0.214924 + 1.49483i
\(534\) 202.646 59.5023i 0.0164220 0.00482194i
\(535\) 33896.5 2.73920
\(536\) −483.509 558.908i −0.0389635 0.0450394i
\(537\) −13651.0 −1.09699
\(538\) −221.954 + 65.1716i −0.0177865 + 0.00522258i
\(539\) 1210.44 + 8418.79i 0.0967298 + 0.672770i
\(540\) 3506.71 2253.63i 0.279453 0.179594i
\(541\) 7386.96 16175.2i 0.587043 1.28544i −0.350170 0.936686i \(-0.613876\pi\)
0.937213 0.348759i \(-0.113397\pi\)
\(542\) −193.984 424.765i −0.0153733 0.0336628i
\(543\) 11640.8 3418.06i 0.919992 0.270134i
\(544\) 637.566 735.791i 0.0502490 0.0579904i
\(545\) 38554.2 11320.5i 3.03024 0.889759i
\(546\) −18.0153 + 125.299i −0.00141206 + 0.00982109i
\(547\) −1578.60 + 3456.66i −0.123393 + 0.270194i −0.961241 0.275711i \(-0.911087\pi\)
0.837847 + 0.545905i \(0.183814\pi\)
\(548\) 3025.53 + 3491.64i 0.235847 + 0.272182i
\(549\) 2629.23 + 3034.29i 0.204395 + 0.235884i
\(550\) −498.588 + 320.423i −0.0386543 + 0.0248416i
\(551\) −1646.83 483.552i −0.127327 0.0373866i
\(552\) 200.939 439.994i 0.0154937 0.0339264i
\(553\) −1494.06 960.171i −0.114889 0.0738348i
\(554\) 538.750 346.234i 0.0413164 0.0265525i
\(555\) −2399.58 704.579i −0.183525 0.0538878i
\(556\) 644.851 + 4485.04i 0.0491866 + 0.342101i
\(557\) −6378.04 13966.0i −0.485182 1.06240i −0.981006 0.193977i \(-0.937861\pi\)
0.495824 0.868423i \(-0.334866\pi\)
\(558\) −1.98229 + 13.7871i −0.000150389 + 0.00104598i
\(559\) 364.306 + 2533.80i 0.0275644 + 0.191714i
\(560\) 6802.34 + 4371.60i 0.513306 + 0.329882i
\(561\) −3356.07 3873.12i −0.252573 0.291485i
\(562\) 213.252 + 137.049i 0.0160062 + 0.0102866i
\(563\) 10879.9 + 23823.7i 0.814448 + 1.78339i 0.586968 + 0.809610i \(0.300321\pi\)
0.227480 + 0.973783i \(0.426951\pi\)
\(564\) 1718.31 1983.04i 0.128287 0.148051i
\(565\) 26092.1 1.94284
\(566\) −273.570 −0.0203162
\(567\) 347.887 401.483i 0.0257670 0.0297367i
\(568\) −144.530 + 1005.23i −0.0106767 + 0.0742580i
\(569\) −23249.1 6826.54i −1.71292 0.502959i −0.729451 0.684034i \(-0.760224\pi\)
−0.983469 + 0.181075i \(0.942042\pi\)
\(570\) 200.431 + 58.8520i 0.0147283 + 0.00432463i
\(571\) −1606.56 + 11173.9i −0.117745 + 0.818937i 0.842283 + 0.539035i \(0.181211\pi\)
−0.960029 + 0.279902i \(0.909698\pi\)
\(572\) 11331.6 13077.4i 0.828319 0.955931i
\(573\) 8705.31 0.634677
\(574\) −134.495 −0.00977995
\(575\) −19438.6 + 22433.3i −1.40982 + 1.62702i
\(576\) −1904.05 4169.28i −0.137735 0.301597i
\(577\) 6718.97 + 4318.02i 0.484774 + 0.311545i 0.760100 0.649806i \(-0.225150\pi\)
−0.275327 + 0.961351i \(0.588786\pi\)
\(578\) −70.7791 81.6834i −0.00509346 0.00587817i
\(579\) −1105.04 710.165i −0.0793158 0.0509731i
\(580\) 881.429 + 6130.47i 0.0631023 + 0.438886i
\(581\) −1007.33 + 7006.13i −0.0719295 + 0.500281i
\(582\) 98.7289 + 216.186i 0.00703169 + 0.0153973i
\(583\) −1828.11 12714.8i −0.129867 0.903246i
\(584\) 1170.68 + 343.744i 0.0829508 + 0.0243565i
\(585\) −11166.6 + 7176.33i −0.789199 + 0.507187i
\(586\) 456.369 + 293.290i 0.0321714 + 0.0206753i
\(587\) 1824.44 3994.97i 0.128284 0.280903i −0.834581 0.550885i \(-0.814290\pi\)
0.962865 + 0.269982i \(0.0870177\pi\)
\(588\) −6901.90 2026.58i −0.484064 0.142134i
\(589\) 661.087 424.855i 0.0462472 0.0297213i
\(590\) 630.849 + 728.038i 0.0440197 + 0.0508015i
\(591\) 3044.35 + 3513.37i 0.211892 + 0.244536i
\(592\) −1144.38 + 2505.85i −0.0794491 + 0.173969i
\(593\) −796.442 + 5539.38i −0.0551534 + 0.383600i 0.943484 + 0.331418i \(0.107527\pi\)
−0.998638 + 0.0521826i \(0.983382\pi\)
\(594\) 61.8896 18.1724i 0.00427502 0.00125526i
\(595\) −4998.36 + 5768.41i −0.344391 + 0.397449i
\(596\) 1491.22 437.862i 0.102488 0.0300932i
\(597\) −1107.96 2426.09i −0.0759560 0.166320i
\(598\) −319.787 + 700.236i −0.0218680 + 0.0478843i
\(599\) −19189.6 + 12332.4i −1.30896 + 0.841217i −0.994157 0.107941i \(-0.965574\pi\)
−0.314802 + 0.949158i \(0.601938\pi\)
\(600\) −142.732 992.724i −0.00971169 0.0675463i
\(601\) −2210.34 + 649.015i −0.150020 + 0.0440497i −0.355880 0.934532i \(-0.615819\pi\)
0.205861 + 0.978581i \(0.434001\pi\)
\(602\) −18.5265 −0.00125429
\(603\) −698.501 4886.09i −0.0471727 0.329979i
\(604\) 2770.31 0.186626
\(605\) −9769.38 + 2868.55i −0.656499 + 0.192765i
\(606\) −47.5549 330.752i −0.00318777 0.0221714i
\(607\) −11309.9 + 7268.45i −0.756270 + 0.486025i −0.861082 0.508467i \(-0.830212\pi\)
0.104811 + 0.994492i \(0.466576\pi\)
\(608\) 287.189 628.855i 0.0191563 0.0419465i
\(609\) 327.896 + 717.992i 0.0218177 + 0.0477742i
\(610\) 696.632 204.550i 0.0462390 0.0135770i
\(611\) −5471.70 + 6314.68i −0.362293 + 0.418109i
\(612\) 4158.70 1221.11i 0.274682 0.0806540i
\(613\) −1951.18 + 13570.8i −0.128560 + 0.894158i 0.818821 + 0.574050i \(0.194628\pi\)
−0.947381 + 0.320108i \(0.896281\pi\)
\(614\) 250.654 548.856i 0.0164749 0.0360750i
\(615\) −9235.38 10658.2i −0.605539 0.698829i
\(616\) 164.094 + 189.375i 0.0107330 + 0.0123866i
\(617\) 20939.7 13457.1i 1.36629 0.878060i 0.367636 0.929970i \(-0.380167\pi\)
0.998652 + 0.0519096i \(0.0165308\pi\)
\(618\) 497.182 + 145.986i 0.0323618 + 0.00950229i
\(619\) −10277.2 + 22504.0i −0.667330 + 1.46125i 0.208200 + 0.978086i \(0.433239\pi\)
−0.875530 + 0.483163i \(0.839488\pi\)
\(620\) −2385.56 1533.10i −0.154526 0.0993080i
\(621\) 2717.71 1746.57i 0.175617 0.112862i
\(622\) −519.551 152.554i −0.0334921 0.00983417i
\(623\) 779.849 + 5423.97i 0.0501508 + 0.348807i
\(624\) 6073.96 + 13300.1i 0.389668 + 0.853255i
\(625\) −2122.07 + 14759.3i −0.135812 + 0.944595i
\(626\) −39.4337 274.268i −0.00251771 0.0175111i
\(627\) −3061.39 1967.43i −0.194992 0.125314i
\(628\) 18581.2 + 21443.9i 1.18069 + 1.36258i
\(629\) −2187.57 1405.87i −0.138671 0.0891187i
\(630\) −39.9074 87.3851i −0.00252373 0.00552620i
\(631\) −10650.3 + 12291.0i −0.671917 + 0.775434i −0.984675 0.174399i \(-0.944202\pi\)
0.312758 + 0.949833i \(0.398747\pi\)
\(632\) 364.907 0.0229671
\(633\) −6831.76 −0.428970
\(634\) −255.802 + 295.211i −0.0160240 + 0.0184926i
\(635\) 2873.67 19986.8i 0.179587 1.24906i
\(636\) 10423.8 + 3060.71i 0.649893 + 0.190826i
\(637\) 21978.0 + 6453.34i 1.36704 + 0.401398i
\(638\) −13.6392 + 94.8630i −0.000846368 + 0.00588662i
\(639\) −4441.74 + 5126.04i −0.274980 + 0.317344i
\(640\) −3325.76 −0.205410
\(641\) 23918.3 1.47382 0.736908 0.675993i \(-0.236285\pi\)
0.736908 + 0.675993i \(0.236285\pi\)
\(642\) −290.496 + 335.250i −0.0178582 + 0.0206095i
\(643\) 3802.47 + 8326.24i 0.233211 + 0.510661i 0.989667 0.143383i \(-0.0457982\pi\)
−0.756456 + 0.654044i \(0.773071\pi\)
\(644\) 5276.53 + 3391.02i 0.322864 + 0.207492i
\(645\) −1272.17 1468.16i −0.0776613 0.0896259i
\(646\) 182.723 + 117.429i 0.0111287 + 0.00715200i
\(647\) −1221.85 8498.15i −0.0742440 0.516378i −0.992677 0.120801i \(-0.961454\pi\)
0.918433 0.395577i \(-0.129455\pi\)
\(648\) −15.5340 + 108.041i −0.000941716 + 0.00654978i
\(649\) −6971.49 15265.4i −0.421656 0.923299i
\(650\) 227.153 + 1579.89i 0.0137072 + 0.0953358i
\(651\) −346.754 101.816i −0.0208761 0.00612978i
\(652\) −3649.97 + 2345.69i −0.219239 + 0.140896i
\(653\) −17397.3 11180.6i −1.04259 0.670030i −0.0969619 0.995288i \(-0.530913\pi\)
−0.945625 + 0.325258i \(0.894549\pi\)
\(654\) −218.448 + 478.335i −0.0130612 + 0.0286000i
\(655\) −7396.07 2171.68i −0.441204 0.129549i
\(656\) −13068.6 + 8398.69i −0.777810 + 0.499868i
\(657\) 5336.32 + 6158.45i 0.316879 + 0.365698i
\(658\) −39.6005 45.7014i −0.00234618 0.00270764i
\(659\) 1993.72 4365.65i 0.117852 0.258060i −0.841508 0.540244i \(-0.818332\pi\)
0.959360 + 0.282185i \(0.0910591\pi\)
\(660\) −1868.84 + 12998.1i −0.110219 + 0.766590i
\(661\) 10667.0 3132.13i 0.627685 0.184305i 0.0476076 0.998866i \(-0.484840\pi\)
0.580078 + 0.814561i \(0.303022\pi\)
\(662\) −78.7352 + 90.8652i −0.00462255 + 0.00533471i
\(663\) −13242.8 + 3888.42i −0.775726 + 0.227774i
\(664\) −604.152 1322.91i −0.0353097 0.0773175i
\(665\) −2251.49 + 4930.07i −0.131292 + 0.287488i
\(666\) 27.5332 17.6945i 0.00160193 0.00102950i
\(667\) 683.110 + 4751.14i 0.0396554 + 0.275809i
\(668\) 22612.9 6639.75i 1.30976 0.384580i
\(669\) −8577.13 −0.495681
\(670\) −856.201 252.152i −0.0493701 0.0145395i
\(671\) −12648.2 −0.727688
\(672\) −305.053 + 89.5715i −0.0175114 + 0.00514181i
\(673\) −4139.08 28787.9i −0.237072 1.64888i −0.666304 0.745681i \(-0.732125\pi\)
0.429231 0.903195i \(-0.358785\pi\)
\(674\) −209.510 + 134.644i −0.0119733 + 0.00769480i
\(675\) 2782.59 6093.02i 0.158669 0.347438i
\(676\) −12064.0 26416.4i −0.686388 1.50298i
\(677\) −12460.8 + 3658.84i −0.707399 + 0.207711i −0.615591 0.788066i \(-0.711083\pi\)
−0.0918079 + 0.995777i \(0.529265\pi\)
\(678\) −223.612 + 258.062i −0.0126663 + 0.0146177i
\(679\) −5916.53 + 1737.25i −0.334397 + 0.0981879i
\(680\) 223.188 1552.31i 0.0125866 0.0875417i
\(681\) 1424.24 3118.64i 0.0801422 0.175487i
\(682\) −28.7352 33.1622i −0.00161339 0.00186195i
\(683\) 425.416 + 490.956i 0.0238332 + 0.0275050i 0.767541 0.641000i \(-0.221480\pi\)
−0.743708 + 0.668505i \(0.766935\pi\)
\(684\) 2589.12 1663.92i 0.144733 0.0930142i
\(685\) 10712.6 + 3145.50i 0.597528 + 0.175450i
\(686\) −147.607 + 323.215i −0.00821528 + 0.0179889i
\(687\) 5111.18 + 3284.76i 0.283848 + 0.182418i
\(688\) −1800.19 + 1156.91i −0.0997554 + 0.0641089i
\(689\) −33193.1 9746.38i −1.83535 0.538908i
\(690\) −83.1398 578.250i −0.00458707 0.0319038i
\(691\) −13094.2 28672.4i −0.720880 1.57851i −0.812667 0.582729i \(-0.801985\pi\)
0.0917866 0.995779i \(-0.470742\pi\)
\(692\) 325.369 2262.99i 0.0178738 0.124315i
\(693\) 238.171 + 1656.52i 0.0130554 + 0.0908021i
\(694\) 565.093 + 363.163i 0.0309087 + 0.0198638i
\(695\) 7170.65 + 8275.37i 0.391364 + 0.451658i
\(696\) −136.434 87.6810i −0.00743035 0.00477520i
\(697\) −6091.60 13338.7i −0.331041 0.724880i
\(698\) −11.9472 + 13.7878i −0.000647861 + 0.000747672i
\(699\) 13835.9 0.748674
\(700\) 13005.0 0.702206
\(701\) 18378.2 21209.5i 0.990204 1.14276i 0.000446388 1.00000i \(-0.499858\pi\)
0.989758 0.142757i \(-0.0455966\pi\)
\(702\) 24.7218 171.944i 0.00132915 0.00924445i
\(703\) −1771.68 520.213i −0.0950503 0.0279093i
\(704\) 13854.4 + 4068.01i 0.741699 + 0.217783i
\(705\) 902.409 6276.39i 0.0482081 0.335294i
\(706\) −266.867 + 307.981i −0.0142262 + 0.0164179i
\(707\) 8669.79 0.461190
\(708\) 14193.1 0.753403
\(709\) −6442.80 + 7435.39i −0.341276 + 0.393853i −0.900280 0.435312i \(-0.856638\pi\)
0.559004 + 0.829165i \(0.311184\pi\)
\(710\) 509.528 + 1115.71i 0.0269328 + 0.0589745i
\(711\) 2050.24 + 1317.61i 0.108143 + 0.0694996i
\(712\) −737.313 850.904i −0.0388089 0.0447879i
\(713\) −1848.81 1188.16i −0.0971089 0.0624081i
\(714\) −14.2156 98.8717i −0.000745106 0.00518233i
\(715\) 5951.04 41390.4i 0.311268 2.16491i
\(716\) 15108.8 + 33083.7i 0.788608 + 1.72681i
\(717\) −952.444 6624.39i −0.0496090 0.345038i
\(718\) −786.736 231.006i −0.0408924 0.0120071i
\(719\) −4038.91 + 2595.65i −0.209494 + 0.134634i −0.641180 0.767390i \(-0.721555\pi\)
0.431687 + 0.902024i \(0.357919\pi\)
\(720\) −9334.62 5999.00i −0.483168 0.310513i
\(721\) −5584.95 + 12229.3i −0.288480 + 0.631684i
\(722\) −406.542 119.371i −0.0209556 0.00615311i
\(723\) 13302.2 8548.78i 0.684250 0.439741i
\(724\) −21167.7 24428.9i −1.08659 1.25399i
\(725\) 6517.48 + 7521.58i 0.333866 + 0.385302i
\(726\) 55.3534 121.207i 0.00282969 0.00619616i
\(727\) 3791.10 26367.7i 0.193403 1.34515i −0.629514 0.776989i \(-0.716746\pi\)
0.822918 0.568161i \(-0.192345\pi\)
\(728\) 647.500 190.123i 0.0329642 0.00967916i
\(729\) −477.393 + 550.941i −0.0242541 + 0.0279907i
\(730\) 1413.90 415.157i 0.0716858 0.0210488i
\(731\) −839.114 1837.40i −0.0424566 0.0929669i
\(732\) 4443.70 9730.35i 0.224377 0.491317i
\(733\) 24434.2 15702.9i 1.23124 0.791270i 0.247157 0.968976i \(-0.420504\pi\)
0.984084 + 0.177705i \(0.0568674\pi\)
\(734\) −117.588 817.844i −0.00591316 0.0411270i
\(735\) −16679.0 + 4897.38i −0.837024 + 0.245772i
\(736\) −1933.39 −0.0968285
\(737\) 13073.9 + 8416.98i 0.653439 + 0.420683i
\(738\) 184.562 0.00920573
\(739\) 8700.13 2554.59i 0.433071 0.127161i −0.0579290 0.998321i \(-0.518450\pi\)
0.491000 + 0.871160i \(0.336632\pi\)
\(740\) 948.257 + 6595.27i 0.0471062 + 0.327631i
\(741\) −8244.65 + 5298.51i −0.408738 + 0.262680i
\(742\) 104.008 227.746i 0.00514590 0.0112679i
\(743\) 1368.78 + 2997.22i 0.0675852 + 0.147991i 0.940410 0.340043i \(-0.110442\pi\)
−0.872825 + 0.488034i \(0.837714\pi\)
\(744\) 71.2466 20.9199i 0.00351079 0.00103086i
\(745\) 2459.51 2838.43i 0.120953 0.139587i
\(746\) 284.564 83.5554i 0.0139660 0.00410078i
\(747\) 1382.32 9614.27i 0.0677062 0.470907i
\(748\) −5672.15 + 12420.3i −0.277265 + 0.607126i
\(749\) −7537.09 8698.26i −0.367689 0.424336i
\(750\) −393.555 454.186i −0.0191608 0.0221127i
\(751\) −27188.1 + 17472.7i −1.32105 + 0.848987i −0.995335 0.0964811i \(-0.969241\pi\)
−0.325715 + 0.945468i \(0.605605\pi\)
\(752\) −6701.80 1967.83i −0.324986 0.0954245i
\(753\) 4249.89 9305.96i 0.205677 0.450369i
\(754\) 217.131 + 139.541i 0.0104873 + 0.00673978i
\(755\) 5631.90 3619.40i 0.271478 0.174468i
\(756\) −1358.05 398.758i −0.0653329 0.0191835i
\(757\) −5060.64 35197.5i −0.242975 1.68993i −0.637028 0.770841i \(-0.719836\pi\)
0.394053 0.919088i \(-0.371073\pi\)
\(758\) 314.517 + 688.695i 0.0150709 + 0.0330007i
\(759\) −1448.36 + 10073.6i −0.0692649 + 0.481748i
\(760\) −158.482 1102.27i −0.00756414 0.0526098i
\(761\) 15178.5 + 9754.65i 0.723024 + 0.464659i 0.849688 0.527286i \(-0.176791\pi\)
−0.126664 + 0.991946i \(0.540427\pi\)
\(762\) 173.050 + 199.710i 0.00822696 + 0.00949442i
\(763\) −11477.7 7376.30i −0.544590 0.349987i
\(764\) −9634.96 21097.6i −0.456257 0.999064i
\(765\) 6859.07 7915.79i 0.324170 0.374113i
\(766\) −429.621 −0.0202648
\(767\) −45195.8 −2.12767
\(768\) −7975.61 + 9204.34i −0.374733 + 0.432465i
\(769\) −3437.99 + 23911.8i −0.161219 + 1.12130i 0.735122 + 0.677935i \(0.237125\pi\)
−0.896341 + 0.443366i \(0.853784\pi\)
\(770\) 290.378 + 85.2625i 0.0135902 + 0.00399045i
\(771\) −999.776 293.561i −0.0467005 0.0137125i
\(772\) −498.062 + 3464.10i −0.0232198 + 0.161497i
\(773\) −5555.34 + 6411.20i −0.258488 + 0.298312i −0.870129 0.492824i \(-0.835965\pi\)
0.611640 + 0.791136i \(0.290510\pi\)
\(774\) 25.4233 0.00118065
\(775\) −4556.76 −0.211205
\(776\) 829.693 957.516i 0.0383817 0.0442949i
\(777\) 352.756 + 772.428i 0.0162871 + 0.0356637i
\(778\) 422.548 + 271.555i 0.0194718 + 0.0125138i
\(779\) −6818.78 7869.29i −0.313618 0.361934i
\(780\) 29751.1 + 19119.9i 1.36572 + 0.877695i
\(781\) −3040.91 21150.0i −0.139324 0.969022i
\(782\) 86.4474 601.255i 0.00395314 0.0274947i
\(783\) −449.960 985.275i −0.0205367 0.0449692i
\(784\) 2725.05 + 18953.1i 0.124137 + 0.863389i
\(785\) 65791.1 + 19318.0i 2.99132 + 0.878330i
\(786\) 84.8638 54.5387i 0.00385114 0.00247497i
\(787\) 11178.9 + 7184.24i 0.506334 + 0.325401i 0.768745 0.639555i \(-0.220881\pi\)
−0.262411 + 0.964956i \(0.584518\pi\)
\(788\) 5145.31 11266.7i 0.232607 0.509337i
\(789\) −10171.6 2986.64i −0.458957 0.134762i
\(790\) 370.755 238.270i 0.0166973 0.0107307i
\(791\) −5801.73 6695.56i −0.260791 0.300969i
\(792\) −225.180 259.872i −0.0101028 0.0116593i
\(793\) −14150.3 + 30984.8i −0.633659 + 1.38752i
\(794\) 132.290 920.099i 0.00591285 0.0411248i
\(795\) 25190.0 7396.45i 1.12377 0.329968i
\(796\) −4653.43 + 5370.35i −0.207207 + 0.239129i
\(797\) −11774.5 + 3457.30i −0.523304 + 0.153656i −0.532707 0.846300i \(-0.678825\pi\)
0.00940274 + 0.999956i \(0.497007\pi\)
\(798\) −29.4650 64.5193i −0.00130708 0.00286210i
\(799\) 2738.92 5997.39i 0.121271 0.265547i
\(800\) −3372.38 + 2167.30i −0.149040 + 0.0957820i
\(801\) −1070.16 7443.12i −0.0472062 0.328327i
\(802\) 604.067 177.370i 0.0265964 0.00780942i
\(803\) −25671.0 −1.12816
\(804\) −11068.5 + 7100.72i −0.485518 + 0.311471i
\(805\) 15157.3 0.663633
\(806\) −113.387 + 33.2933i −0.00495518 + 0.00145497i
\(807\) 1172.12 + 8152.29i 0.0511284 + 0.355606i
\(808\) −1498.57 + 963.075i −0.0652471 + 0.0419318i
\(809\) −1738.56 + 3806.92i −0.0755557 + 0.165444i −0.943641 0.330972i \(-0.892624\pi\)
0.868085 + 0.496416i \(0.165351\pi\)
\(810\) 54.7636 + 119.916i 0.00237555 + 0.00520173i
\(811\) −7325.83 + 2151.06i −0.317194 + 0.0931367i −0.436454 0.899726i \(-0.643766\pi\)
0.119260 + 0.992863i \(0.461948\pi\)
\(812\) 1377.16 1589.33i 0.0595185 0.0686880i
\(813\) −15952.4 + 4684.05i −0.688161 + 0.202062i
\(814\) −14.6733 + 102.055i −0.000631818 + 0.00439439i
\(815\) −4355.57 + 9537.36i −0.187201 + 0.409913i
\(816\) −7555.48 8719.49i −0.324136 0.374072i
\(817\) −939.283 1083.99i −0.0402220 0.0464186i
\(818\) 187.142 120.269i 0.00799912 0.00514072i
\(819\) 4324.49 + 1269.78i 0.184505 + 0.0541757i
\(820\) −15608.9 + 34178.6i −0.664738 + 1.45557i
\(821\) −23340.7 15000.2i −0.992200 0.637648i −0.0594721 0.998230i \(-0.518942\pi\)
−0.932728 + 0.360582i \(0.882578\pi\)
\(822\) −122.918 + 78.9947i −0.00521565 + 0.00335189i
\(823\) −16863.3 4951.52i −0.714239 0.209720i −0.0956284 0.995417i \(-0.530486\pi\)
−0.618611 + 0.785698i \(0.712304\pi\)
\(824\) −393.124 2734.24i −0.0166203 0.115597i
\(825\) 8765.94 + 19194.7i 0.369928 + 0.810030i
\(826\) 46.5507 323.767i 0.00196090 0.0136384i
\(827\) −3394.54 23609.6i −0.142733 0.992727i −0.927736 0.373236i \(-0.878248\pi\)
0.785004 0.619491i \(-0.212661\pi\)
\(828\) −7240.80 4653.38i −0.303907 0.195309i
\(829\) 11348.8 + 13097.2i 0.475464 + 0.548715i 0.941923 0.335828i \(-0.109016\pi\)
−0.466459 + 0.884543i \(0.654471\pi\)
\(830\) −1477.64 949.621i −0.0617947 0.0397130i
\(831\) −9472.05 20740.9i −0.395405 0.865817i
\(832\) 25465.3 29388.5i 1.06112 1.22459i
\(833\) −18074.7 −0.751801
\(834\) −143.300 −0.00594973
\(835\) 37296.2 43042.1i 1.54573 1.78387i
\(836\) −1379.83 + 9596.90i −0.0570841 + 0.397029i
\(837\) 475.838 + 139.719i 0.0196504 + 0.00576987i
\(838\) 762.345 + 223.845i 0.0314257 + 0.00922743i
\(839\) −5435.38 + 37803.9i −0.223659 + 1.55558i 0.500368 + 0.865813i \(0.333198\pi\)
−0.724027 + 0.689772i \(0.757711\pi\)
\(840\) −335.372 + 387.040i −0.0137755 + 0.0158978i
\(841\) −22779.6 −0.934012
\(842\) −670.295 −0.0274346
\(843\) 5910.39 6820.95i 0.241476 0.278679i
\(844\) 7561.33 + 16557.0i 0.308379 + 0.675255i
\(845\) −59038.4 37941.7i −2.40353 1.54466i
\(846\) 54.3424 + 62.7145i 0.00220843 + 0.00254866i
\(847\) 2908.39 + 1869.11i 0.117985 + 0.0758244i
\(848\) −4115.60 28624.6i −0.166663 1.15917i
\(849\) −1386.18 + 9641.09i −0.0560348 + 0.389731i
\(850\) −523.208 1145.67i −0.0211128 0.0462306i
\(851\) 734.902 + 5111.36i 0.0296030 + 0.205893i
\(852\) 17339.2 + 5091.25i 0.697219 + 0.204722i
\(853\) 22155.4 14238.4i 0.889317 0.571529i −0.0142871 0.999898i \(-0.504548\pi\)
0.903604 + 0.428369i \(0.140912\pi\)
\(854\) −207.390 133.282i −0.00831001 0.00534052i
\(855\) 3089.64 6765.36i 0.123583 0.270609i
\(856\) 2269.02 + 666.245i 0.0906000 + 0.0266026i
\(857\) 4904.12 3151.69i 0.195475 0.125624i −0.439242 0.898369i \(-0.644753\pi\)
0.634717 + 0.772745i \(0.281117\pi\)
\(858\) 358.367 + 413.578i 0.0142593 + 0.0164561i
\(859\) 13631.5 + 15731.5i 0.541443 + 0.624858i 0.958868 0.283853i \(-0.0916128\pi\)
−0.417425 + 0.908711i \(0.637067\pi\)
\(860\) −2150.11 + 4708.08i −0.0852537 + 0.186679i
\(861\) −681.484 + 4739.83i −0.0269744 + 0.187611i
\(862\) 613.861 180.246i 0.0242555 0.00712204i
\(863\) −18388.6 + 21221.5i −0.725323 + 0.837067i −0.991936 0.126736i \(-0.959550\pi\)
0.266614 + 0.963803i \(0.414095\pi\)
\(864\) 418.613 122.916i 0.0164832 0.00483991i
\(865\) −2295.14 5025.65i −0.0902163 0.197546i
\(866\) −124.999 + 273.711i −0.00490491 + 0.0107403i
\(867\) −3237.31 + 2080.49i −0.126811 + 0.0814962i
\(868\) 137.029 + 953.058i 0.00535838 + 0.0372683i
\(869\) −7366.64 + 2163.04i −0.287567 + 0.0844374i
\(870\) −195.873 −0.00763300
\(871\) 35246.0 22611.2i 1.37114 0.879621i
\(872\) 2803.32 0.108867
\(873\) 8119.05 2383.97i 0.314763 0.0924228i
\(874\) −61.3848 426.941i −0.00237571 0.0165234i
\(875\) 13117.4 8430.01i 0.506797 0.325699i
\(876\) 9019.00 19748.9i 0.347858 0.761703i
\(877\) −1662.35 3640.04i −0.0640063 0.140154i 0.874925 0.484258i \(-0.160910\pi\)
−0.938932 + 0.344103i \(0.888183\pi\)
\(878\) 113.295 33.2663i 0.00435479 0.00127868i
\(879\) 12648.5 14597.2i 0.485351 0.560125i
\(880\) 33539.8 9848.19i 1.28480 0.377253i
\(881\) −519.579 + 3613.75i −0.0198696 + 0.138196i −0.997341 0.0728698i \(-0.976784\pi\)
0.977472 + 0.211066i \(0.0676933\pi\)
\(882\) 94.5030 206.933i 0.00360780 0.00789999i
\(883\) −12841.5 14819.9i −0.489414 0.564814i 0.456295 0.889829i \(-0.349176\pi\)
−0.945709 + 0.325015i \(0.894631\pi\)
\(884\) 24080.7 + 27790.6i 0.916200 + 1.05735i
\(885\) 28853.9 18543.3i 1.09595 0.704322i
\(886\) −87.1656 25.5941i −0.00330517 0.000970487i
\(887\) 12866.5 28173.6i 0.487050 1.06649i −0.493415 0.869794i \(-0.664251\pi\)
0.980464 0.196696i \(-0.0630213\pi\)
\(888\) −146.778 94.3287i −0.00554680 0.00356471i
\(889\) −5767.84 + 3706.76i −0.217601 + 0.139844i
\(890\) −1304.73 383.105i −0.0491402 0.0144289i
\(891\) −326.834 2273.18i −0.0122888 0.0854707i
\(892\) 9493.08 + 20786.9i 0.356336 + 0.780267i
\(893\) 666.278 4634.06i 0.0249677 0.173654i
\(894\) 6.99499 + 48.6512i 0.000261686 + 0.00182007i
\(895\) 73939.4 + 47517.9i 2.76148 + 1.77469i
\(896\) 739.502 + 853.431i 0.0275726 + 0.0318204i
\(897\) 23057.2 + 14818.0i 0.858259 + 0.551569i
\(898\) −0.804125 1.76079i −2.98820e−5 6.54324e-5i
\(899\) −482.537 + 556.877i −0.0179016 + 0.0206595i
\(900\) −17846.4 −0.660977
\(901\) 27297.9 1.00935
\(902\) −380.751 + 439.410i −0.0140550 + 0.0162203i
\(903\) −93.8740 + 652.908i −0.00345950 + 0.0240614i
\(904\) 1746.60 + 512.848i 0.0642600 + 0.0188684i
\(905\) −74949.3 22007.1i −2.75293 0.808332i
\(906\) −12.4685 + 86.7205i −0.000457217 + 0.00318002i
\(907\) −889.957 + 1027.07i −0.0325805 + 0.0376000i −0.771806 0.635858i \(-0.780646\pi\)
0.739225 + 0.673458i \(0.235192\pi\)
\(908\) −9134.47 −0.333852
\(909\) −11897.3 −0.434111
\(910\) 533.733 615.961i 0.0194430 0.0224384i
\(911\) 10600.5 + 23211.8i 0.385520 + 0.844172i 0.998535 + 0.0541005i \(0.0172291\pi\)
−0.613015 + 0.790071i \(0.710044\pi\)
\(912\) −6892.05 4429.25i −0.250240 0.160819i
\(913\) 20038.2 + 23125.3i 0.726359 + 0.838263i
\(914\) 944.580 + 607.045i 0.0341837 + 0.0219686i
\(915\) −3678.86 25587.0i −0.132917 0.924460i
\(916\) 2303.71 16022.7i 0.0830968 0.577951i
\(917\) 1087.28 + 2380.81i 0.0391550 + 0.0857375i
\(918\) 19.5076 + 135.678i 0.000701357 + 0.00487805i
\(919\) −28006.9 8223.56i −1.00529 0.295180i −0.262665 0.964887i \(-0.584601\pi\)
−0.742625 + 0.669708i \(0.766419\pi\)
\(920\) −2619.94 + 1683.73i −0.0938879 + 0.0603381i
\(921\) −18072.6 11614.6i −0.646593 0.415540i
\(922\) −578.128 + 1265.92i −0.0206504 + 0.0452180i
\(923\) −55214.0 16212.3i −1.96900 0.578152i
\(924\) 3751.02 2410.63i 0.133549 0.0858268i
\(925\) 7011.62 + 8091.84i 0.249233 + 0.287630i
\(926\) −793.735 916.019i −0.0281682 0.0325078i
\(927\) 7664.03 16781.9i 0.271542 0.594595i
\(928\) −92.2540 + 641.641i −0.00326335 + 0.0226971i
\(929\) −1805.96 + 530.279i −0.0637802 + 0.0187275i −0.313467 0.949599i \(-0.601491\pi\)
0.249687 + 0.968327i \(0.419672\pi\)
\(930\) 58.7285 67.7763i 0.00207073 0.00238975i
\(931\) −12314.6 + 3615.90i −0.433507 + 0.127289i
\(932\) −15313.5 33531.8i −0.538207 1.17851i
\(933\) −8008.84 + 17536.9i −0.281026 + 0.615362i
\(934\) 1085.20 697.415i 0.0380180 0.0244327i
\(935\) 4695.87 + 32660.5i 0.164248 + 1.14237i
\(936\) −888.541 + 260.899i −0.0310287 + 0.00911085i
\(937\) 45207.9 1.57618 0.788089 0.615561i \(-0.211071\pi\)
0.788089 + 0.615561i \(0.211071\pi\)
\(938\) 125.676 + 275.779i 0.00437470 + 0.00959970i
\(939\) −9865.50 −0.342863
\(940\) −16209.8 + 4759.63i −0.562453 + 0.165151i
\(941\) 7083.85 + 49269.3i 0.245406 + 1.70684i 0.624125 + 0.781324i \(0.285455\pi\)
−0.378719 + 0.925512i \(0.623635\pi\)
\(942\) −754.899 + 485.144i −0.0261103 + 0.0167801i
\(943\) −12096.9 + 26488.6i −0.417741 + 0.914726i
\(944\) −15694.8 34366.9i −0.541126 1.18490i
\(945\) −3281.82 + 963.629i −0.112971 + 0.0331713i
\(946\) −52.4482 + 60.5284i −0.00180258 + 0.00208028i
\(947\) 1096.50 321.963i 0.0376258 0.0110479i −0.262866 0.964832i \(-0.584668\pi\)
0.300491 + 0.953785i \(0.402849\pi\)
\(948\) 924.084 6427.14i 0.0316591 0.220194i
\(949\) −28719.6 + 62887.2i −0.982380 + 2.15111i
\(950\) −585.666 675.894i −0.0200016 0.0230831i
\(951\) 9107.62 + 10510.8i 0.310552 + 0.358396i
\(952\) −447.969 + 287.892i −0.0152508 + 0.00980109i
\(953\) 34887.5 + 10243.9i 1.18585 + 0.348197i 0.814427 0.580266i \(-0.197051\pi\)
0.371424 + 0.928463i \(0.378870\pi\)
\(954\) −142.727 + 312.528i −0.00484376 + 0.0106063i
\(955\) −47151.4 30302.4i −1.59768 1.02677i
\(956\) −15000.3 + 9640.09i −0.507472 + 0.326133i
\(957\) 3274.03 + 961.343i 0.110590 + 0.0324721i
\(958\) −83.0795 577.830i −0.00280185 0.0194873i
\(959\) −1574.83 3448.40i −0.0530281 0.116115i
\(960\) −4199.81 + 29210.3i −0.141196 + 0.982039i
\(961\) 4191.69 + 29153.8i 0.140703 + 0.978612i
\(962\) 233.593 + 150.121i 0.00782883 + 0.00503129i
\(963\) 10342.9 + 11936.3i 0.346100 + 0.399421i
\(964\) −35440.9 22776.5i −1.18410 0.760977i
\(965\) 3513.31 + 7693.07i 0.117199 + 0.256631i
\(966\) −129.899 + 149.912i −0.00432655 + 0.00499310i
\(967\) −45974.3 −1.52889 −0.764443 0.644692i \(-0.776986\pi\)
−0.764443 + 0.644692i \(0.776986\pi\)
\(968\) −710.343 −0.0235860
\(969\) 5064.28 5844.49i 0.167893 0.193758i
\(970\) 217.769 1514.62i 0.00720839 0.0501355i
\(971\) 38609.4 + 11336.7i 1.27604 + 0.374679i 0.848441 0.529290i \(-0.177542\pi\)
0.427598 + 0.903969i \(0.359360\pi\)
\(972\) 1863.60 + 547.202i 0.0614969 + 0.0180571i
\(973\) 529.126 3680.16i 0.0174337 0.121254i
\(974\) −1123.60 + 1296.70i −0.0369635 + 0.0426582i
\(975\) 56829.0 1.86665
\(976\) −28474.7 −0.933867
\(977\) −38824.0 + 44805.3i −1.27133 + 1.46719i −0.454028 + 0.890987i \(0.650013\pi\)
−0.817304 + 0.576207i \(0.804532\pi\)
\(978\) −57.0008 124.814i −0.00186369 0.00408091i
\(979\) 19928.5 + 12807.3i 0.650580 + 0.418102i
\(980\) 30329.1 + 35001.6i 0.988599 + 1.14090i
\(981\) 15750.5 + 10122.2i 0.512615 + 0.329438i
\(982\) 150.408 + 1046.11i 0.00488771 + 0.0339947i
\(983\) −7399.67 + 51465.8i −0.240094 + 1.66989i 0.411564 + 0.911381i \(0.364983\pi\)
−0.651658 + 0.758513i \(0.725926\pi\)
\(984\) −408.725 894.982i −0.0132415 0.0289949i
\(985\) −4259.71 29626.9i −0.137792 0.958367i
\(986\) −195.416 57.3792i −0.00631166 0.00185327i
\(987\) −1811.26 + 1164.02i −0.0584123 + 0.0375393i
\(988\) 21966.2 + 14116.8i 0.707326 + 0.454571i
\(989\) −1666.34 + 3648.78i −0.0535759 + 0.117315i
\(990\) −398.475 117.003i −0.0127923 0.00375615i
\(991\) 8438.24 5422.92i 0.270484 0.173829i −0.398367 0.917226i \(-0.630423\pi\)
0.668851 + 0.743397i \(0.266787\pi\)
\(992\) −194.361 224.305i −0.00622074 0.00717912i
\(993\) 2803.30 + 3235.18i 0.0895872 + 0.103389i
\(994\) 173.009 378.836i 0.00552063 0.0120885i
\(995\) −2443.85 + 16997.4i −0.0778646 + 0.541560i
\(996\) −24830.4 + 7290.87i −0.789942 + 0.231948i
\(997\) 35403.3 40857.6i 1.12461 1.29787i 0.174949 0.984577i \(-0.444024\pi\)
0.949658 0.313288i \(-0.101431\pi\)
\(998\) 114.459 33.6082i 0.00363039 0.00106598i
\(999\) −484.075 1059.98i −0.0153308 0.0335697i
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 201.4.i.a.22.9 170
67.64 even 11 inner 201.4.i.a.64.9 yes 170
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
201.4.i.a.22.9 170 1.1 even 1 trivial
201.4.i.a.64.9 yes 170 67.64 even 11 inner