Properties

Label 201.4.j.b.5.10
Level $201$
Weight $4$
Character 201.5
Analytic conductor $11.859$
Analytic rank $0$
Dimension $640$
CM no
Inner twists $4$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [201,4,Mod(5,201)]
 
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([11, 5]))
 
N = Newforms(chi, 4, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("201.5");
 
S:= CuspForms(chi, 4);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 201 = 3 \cdot 67 \)
Weight: \( k \) \(=\) \( 4 \)
Character orbit: \([\chi]\) \(=\) 201.j (of order \(22\), 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: \(640\)
Relative dimension: \(64\) over \(\Q(\zeta_{22})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label 5.10
Character \(\chi\) \(=\) 201.5
Dual form 201.4.j.b.161.10

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-2.88756 + 3.33242i) q^{2} +(-5.17395 - 0.479845i) q^{3} +(-1.62851 - 11.3266i) q^{4} +(8.13953 - 2.38998i) q^{5} +(16.5391 - 15.8562i) q^{6} +(11.0496 + 9.57453i) q^{7} +(12.7717 + 8.20789i) q^{8} +(26.5395 + 4.96539i) q^{9} +O(q^{10})\) \(q+(-2.88756 + 3.33242i) q^{2} +(-5.17395 - 0.479845i) q^{3} +(-1.62851 - 11.3266i) q^{4} +(8.13953 - 2.38998i) q^{5} +(16.5391 - 15.8562i) q^{6} +(11.0496 + 9.57453i) q^{7} +(12.7717 + 8.20789i) q^{8} +(26.5395 + 4.96539i) q^{9} +(-15.5390 + 34.0256i) q^{10} +(-54.0832 + 15.8803i) q^{11} +(2.99085 + 59.3845i) q^{12} +(10.2544 + 15.9561i) q^{13} +(-63.8128 + 9.17489i) q^{14} +(-43.2604 + 8.45993i) q^{15} +(23.6048 - 6.93099i) q^{16} +(-105.649 - 15.1900i) q^{17} +(-93.1811 + 74.1029i) q^{18} +(46.6891 + 53.8821i) q^{19} +(-40.3256 - 88.3008i) q^{20} +(-52.5758 - 54.8402i) q^{21} +(103.249 - 226.083i) q^{22} +(70.2560 - 32.0849i) q^{23} +(-62.1417 - 48.5956i) q^{24} +(-44.6167 + 28.6734i) q^{25} +(-82.7827 - 11.9024i) q^{26} +(-134.931 - 38.4255i) q^{27} +(90.4521 - 140.746i) q^{28} -12.8774i q^{29} +(96.7248 - 168.590i) q^{30} +(58.8163 - 91.5200i) q^{31} +(-95.5172 + 209.153i) q^{32} +(287.444 - 56.2121i) q^{33} +(355.686 - 308.203i) q^{34} +(112.822 + 51.5239i) q^{35} +(13.0208 - 308.687i) q^{36} -139.752 q^{37} -314.375 q^{38} +(-45.3992 - 87.4767i) q^{39} +(123.573 + 36.2842i) q^{40} +(38.6149 - 268.572i) q^{41} +(334.566 - 16.8502i) q^{42} +(-190.499 - 27.3896i) q^{43} +(267.944 + 586.715i) q^{44} +(227.886 - 23.0130i) q^{45} +(-95.9482 + 326.770i) q^{46} +(-130.669 + 59.6745i) q^{47} +(-125.456 + 24.5340i) q^{48} +(-18.3920 - 127.919i) q^{49} +(33.2815 - 231.478i) q^{50} +(539.331 + 129.287i) q^{51} +(164.029 - 142.132i) q^{52} +(-94.7455 - 658.969i) q^{53} +(517.672 - 338.692i) q^{54} +(-402.259 + 258.516i) q^{55} +(62.5357 + 212.977i) q^{56} +(-215.712 - 301.187i) q^{57} +(42.9130 + 37.1844i) q^{58} +(-234.360 + 364.671i) q^{59} +(166.272 + 476.214i) q^{60} +(186.996 - 636.849i) q^{61} +(135.147 + 460.270i) q^{62} +(245.710 + 308.969i) q^{63} +(-339.418 - 743.221i) q^{64} +(121.601 + 105.368i) q^{65} +(-642.689 + 1120.20i) q^{66} +(-477.397 - 269.916i) q^{67} +1221.37i q^{68} +(-378.897 + 132.293i) q^{69} +(-497.478 + 227.191i) q^{70} +(-547.687 + 78.7455i) q^{71} +(298.200 + 281.250i) q^{72} +(-802.383 - 235.601i) q^{73} +(403.541 - 465.712i) q^{74} +(244.603 - 126.946i) q^{75} +(534.265 - 616.574i) q^{76} +(-749.644 - 342.351i) q^{77} +(422.602 + 101.305i) q^{78} +(368.963 + 574.118i) q^{79} +(175.567 - 112.830i) q^{80} +(679.690 + 263.558i) q^{81} +(783.494 + 904.200i) q^{82} +(24.8641 + 84.6795i) q^{83} +(-535.531 + 684.810i) q^{84} +(-896.234 + 128.859i) q^{85} +(641.352 - 555.734i) q^{86} +(-6.17917 + 66.6272i) q^{87} +(-821.079 - 241.091i) q^{88} +(-679.889 - 310.495i) q^{89} +(-581.346 + 825.865i) q^{90} +(-39.4657 + 274.490i) q^{91} +(-477.824 - 743.508i) q^{92} +(-348.228 + 445.297i) q^{93} +(178.454 - 607.758i) q^{94} +(508.805 + 326.989i) q^{95} +(594.562 - 1036.32i) q^{96} +497.695i q^{97} +(479.389 + 308.084i) q^{98} +(-1514.19 + 152.910i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 640 q - 11 q^{3} - 290 q^{4} + 35 q^{6} - 22 q^{7} - 33 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 640 q - 11 q^{3} - 290 q^{4} + 35 q^{6} - 22 q^{7} - 33 q^{9} + 14 q^{10} - 143 q^{12} - 22 q^{13} - 31 q^{15} - 578 q^{16} - 11 q^{18} - 18 q^{19} - 1133 q^{21} - 382 q^{22} + 365 q^{24} - 2102 q^{25} - 11 q^{27} - 1870 q^{28} - 1210 q^{31} - 743 q^{33} - 22 q^{34} + 1563 q^{36} - 1048 q^{37} + 2475 q^{39} + 626 q^{40} - 11 q^{42} - 1738 q^{43} - 4521 q^{45} + 6578 q^{46} - 3531 q^{48} + 1198 q^{49} - 11 q^{51} + 10274 q^{52} + 1948 q^{54} + 3170 q^{55} - 8921 q^{57} + 418 q^{58} - 649 q^{60} - 2002 q^{61} - 5951 q^{63} - 14918 q^{64} + 2038 q^{67} - 11 q^{69} - 8734 q^{70} - 10681 q^{72} + 9870 q^{73} + 8426 q^{75} + 5230 q^{76} - 11 q^{78} + 10934 q^{79} + 2919 q^{81} + 7442 q^{82} - 4997 q^{84} - 22 q^{85} + 7480 q^{87} + 8630 q^{88} - 757 q^{90} + 13286 q^{91} - 6585 q^{93} + 7106 q^{94} + 16316 q^{96} + 2739 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

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

\(n\) \(68\) \(136\)
\(\chi(n)\) \(-1\) \(e\left(\frac{5}{22}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −2.88756 + 3.33242i −1.02091 + 1.17819i −0.0370345 + 0.999314i \(0.511791\pi\)
−0.983872 + 0.178875i \(0.942754\pi\)
\(3\) −5.17395 0.479845i −0.995727 0.0923462i
\(4\) −1.62851 11.3266i −0.203564 1.41582i
\(5\) 8.13953 2.38998i 0.728022 0.213767i 0.103340 0.994646i \(-0.467047\pi\)
0.624682 + 0.780880i \(0.285229\pi\)
\(6\) 16.5391 15.8562i 1.12535 1.07888i
\(7\) 11.0496 + 9.57453i 0.596622 + 0.516976i 0.899998 0.435895i \(-0.143568\pi\)
−0.303375 + 0.952871i \(0.598114\pi\)
\(8\) 12.7717 + 8.20789i 0.564436 + 0.362741i
\(9\) 26.5395 + 4.96539i 0.982944 + 0.183903i
\(10\) −15.5390 + 34.0256i −0.491385 + 1.07598i
\(11\) −54.0832 + 15.8803i −1.48243 + 0.435280i −0.920116 0.391645i \(-0.871906\pi\)
−0.562312 + 0.826925i \(0.690088\pi\)
\(12\) 2.99085 + 59.3845i 0.0719487 + 1.42857i
\(13\) 10.2544 + 15.9561i 0.218773 + 0.340418i 0.933241 0.359250i \(-0.116968\pi\)
−0.714468 + 0.699668i \(0.753331\pi\)
\(14\) −63.8128 + 9.17489i −1.21819 + 0.175149i
\(15\) −43.2604 + 8.45993i −0.744652 + 0.145623i
\(16\) 23.6048 6.93099i 0.368825 0.108297i
\(17\) −105.649 15.1900i −1.50727 0.216712i −0.661370 0.750060i \(-0.730025\pi\)
−0.845896 + 0.533347i \(0.820934\pi\)
\(18\) −93.1811 + 74.1029i −1.22017 + 0.970346i
\(19\) 46.6891 + 53.8821i 0.563748 + 0.650600i 0.964030 0.265792i \(-0.0856334\pi\)
−0.400282 + 0.916392i \(0.631088\pi\)
\(20\) −40.3256 88.3008i −0.450854 0.987233i
\(21\) −52.5758 54.8402i −0.546332 0.569863i
\(22\) 103.249 226.083i 1.00058 2.19096i
\(23\) 70.2560 32.0849i 0.636930 0.290876i −0.0706588 0.997501i \(-0.522510\pi\)
0.707589 + 0.706624i \(0.249783\pi\)
\(24\) −62.1417 48.5956i −0.528526 0.413314i
\(25\) −44.6167 + 28.6734i −0.356934 + 0.229387i
\(26\) −82.7827 11.9024i −0.624424 0.0897786i
\(27\) −134.931 38.4255i −0.961761 0.273889i
\(28\) 90.4521 140.746i 0.610494 0.949947i
\(29\) 12.8774i 0.0824579i −0.999150 0.0412290i \(-0.986873\pi\)
0.999150 0.0412290i \(-0.0131273\pi\)
\(30\) 96.7248 168.590i 0.588648 1.02601i
\(31\) 58.8163 91.5200i 0.340765 0.530241i −0.628002 0.778211i \(-0.716127\pi\)
0.968768 + 0.247970i \(0.0797636\pi\)
\(32\) −95.5172 + 209.153i −0.527663 + 1.15542i
\(33\) 287.444 56.2121i 1.51629 0.296523i
\(34\) 355.686 308.203i 1.79411 1.55460i
\(35\) 112.822 + 51.5239i 0.544866 + 0.248832i
\(36\) 13.0208 308.687i 0.0602817 1.42911i
\(37\) −139.752 −0.620947 −0.310474 0.950582i \(-0.600488\pi\)
−0.310474 + 0.950582i \(0.600488\pi\)
\(38\) −314.375 −1.34206
\(39\) −45.3992 87.4767i −0.186402 0.359166i
\(40\) 123.573 + 36.2842i 0.488464 + 0.143426i
\(41\) 38.6149 268.572i 0.147089 1.02302i −0.773865 0.633351i \(-0.781679\pi\)
0.920953 0.389673i \(-0.127412\pi\)
\(42\) 334.566 16.8502i 1.22916 0.0619056i
\(43\) −190.499 27.3896i −0.675601 0.0971368i −0.204030 0.978965i \(-0.565404\pi\)
−0.471571 + 0.881828i \(0.656313\pi\)
\(44\) 267.944 + 586.715i 0.918047 + 2.01024i
\(45\) 227.886 23.0130i 0.754917 0.0762350i
\(46\) −95.9482 + 326.770i −0.307539 + 1.04738i
\(47\) −130.669 + 59.6745i −0.405533 + 0.185201i −0.607729 0.794144i \(-0.707919\pi\)
0.202196 + 0.979345i \(0.435192\pi\)
\(48\) −125.456 + 24.5340i −0.377250 + 0.0737744i
\(49\) −18.3920 127.919i −0.0536210 0.372942i
\(50\) 33.2815 231.478i 0.0941343 0.654718i
\(51\) 539.331 + 129.287i 1.48081 + 0.354977i
\(52\) 164.029 142.132i 0.437436 0.379040i
\(53\) −94.7455 658.969i −0.245553 1.70786i −0.623330 0.781959i \(-0.714220\pi\)
0.377777 0.925897i \(-0.376689\pi\)
\(54\) 517.672 338.692i 1.30456 0.853522i
\(55\) −402.259 + 258.516i −0.986192 + 0.633787i
\(56\) 62.5357 + 212.977i 0.149227 + 0.508219i
\(57\) −215.712 301.187i −0.501259 0.699880i
\(58\) 42.9130 + 37.1844i 0.0971510 + 0.0841818i
\(59\) −234.360 + 364.671i −0.517136 + 0.804679i −0.997371 0.0724605i \(-0.976915\pi\)
0.480235 + 0.877140i \(0.340551\pi\)
\(60\) 166.272 + 476.214i 0.357760 + 1.02465i
\(61\) 186.996 636.849i 0.392497 1.33672i −0.492169 0.870499i \(-0.663796\pi\)
0.884667 0.466224i \(-0.154386\pi\)
\(62\) 135.147 + 460.270i 0.276835 + 0.942812i
\(63\) 245.710 + 308.969i 0.491373 + 0.617880i
\(64\) −339.418 743.221i −0.662925 1.45160i
\(65\) 121.601 + 105.368i 0.232042 + 0.201065i
\(66\) −642.689 + 1120.20i −1.19863 + 2.08920i
\(67\) −477.397 269.916i −0.870498 0.492172i
\(68\) 1221.37i 2.17813i
\(69\) −378.897 + 132.293i −0.661070 + 0.230815i
\(70\) −497.478 + 227.191i −0.849429 + 0.387921i
\(71\) −547.687 + 78.7455i −0.915472 + 0.131625i −0.583919 0.811812i \(-0.698482\pi\)
−0.331553 + 0.943437i \(0.607572\pi\)
\(72\) 298.200 + 281.250i 0.488100 + 0.460356i
\(73\) −802.383 235.601i −1.28646 0.377740i −0.434183 0.900825i \(-0.642963\pi\)
−0.852281 + 0.523085i \(0.824781\pi\)
\(74\) 403.541 465.712i 0.633929 0.731593i
\(75\) 244.603 126.946i 0.376591 0.195446i
\(76\) 534.265 616.574i 0.806373 0.930604i
\(77\) −749.644 342.351i −1.10948 0.506682i
\(78\) 422.602 + 101.305i 0.613465 + 0.147058i
\(79\) 368.963 + 574.118i 0.525463 + 0.817637i 0.997970 0.0636904i \(-0.0202870\pi\)
−0.472506 + 0.881327i \(0.656651\pi\)
\(80\) 175.567 112.830i 0.245362 0.157685i
\(81\) 679.690 + 263.558i 0.932359 + 0.361533i
\(82\) 783.494 + 904.200i 1.05515 + 1.21771i
\(83\) 24.8641 + 84.6795i 0.0328818 + 0.111985i 0.974299 0.225260i \(-0.0723231\pi\)
−0.941417 + 0.337245i \(0.890505\pi\)
\(84\) −535.531 + 684.810i −0.695609 + 0.889511i
\(85\) −896.234 + 128.859i −1.14365 + 0.164432i
\(86\) 641.352 555.734i 0.804171 0.696818i
\(87\) −6.17917 + 66.6272i −0.00761468 + 0.0821056i
\(88\) −821.079 241.091i −0.994629 0.292049i
\(89\) −679.889 310.495i −0.809754 0.369802i −0.0328808 0.999459i \(-0.510468\pi\)
−0.776873 + 0.629657i \(0.783195\pi\)
\(90\) −581.346 + 825.865i −0.680881 + 0.967264i
\(91\) −39.4657 + 274.490i −0.0454629 + 0.316202i
\(92\) −477.824 743.508i −0.541484 0.842566i
\(93\) −348.228 + 445.297i −0.388275 + 0.496507i
\(94\) 178.454 607.758i 0.195810 0.666867i
\(95\) 508.805 + 326.989i 0.549497 + 0.353141i
\(96\) 594.562 1036.32i 0.632107 1.10176i
\(97\) 497.695i 0.520962i 0.965479 + 0.260481i \(0.0838811\pi\)
−0.965479 + 0.260481i \(0.916119\pi\)
\(98\) 479.389 + 308.084i 0.494139 + 0.317564i
\(99\) −1514.19 + 152.910i −1.53719 + 0.155233i
\(100\) 397.430 + 458.659i 0.397430 + 0.458659i
\(101\) −772.637 891.671i −0.761191 0.878461i 0.234412 0.972137i \(-0.424683\pi\)
−0.995603 + 0.0936766i \(0.970138\pi\)
\(102\) −1988.19 + 1423.95i −1.93000 + 1.38228i
\(103\) −22.6861 14.5794i −0.0217022 0.0139471i 0.529745 0.848157i \(-0.322288\pi\)
−0.551447 + 0.834210i \(0.685924\pi\)
\(104\) 287.954i 0.271502i
\(105\) −559.010 320.719i −0.519559 0.298085i
\(106\) 2469.55 + 1587.08i 2.26286 + 1.45425i
\(107\) −325.781 + 1109.51i −0.294340 + 1.00243i 0.671005 + 0.741453i \(0.265863\pi\)
−0.965345 + 0.260977i \(0.915955\pi\)
\(108\) −215.491 + 1590.88i −0.191997 + 1.41743i
\(109\) −35.2897 54.9118i −0.0310105 0.0482532i 0.825402 0.564545i \(-0.190948\pi\)
−0.856413 + 0.516292i \(0.827312\pi\)
\(110\) 300.062 2086.98i 0.260089 1.80896i
\(111\) 723.068 + 67.0592i 0.618294 + 0.0573421i
\(112\) 327.185 + 149.420i 0.276036 + 0.126061i
\(113\) 1665.56 + 489.053i 1.38657 + 0.407135i 0.888052 0.459742i \(-0.152058\pi\)
0.498522 + 0.866877i \(0.333876\pi\)
\(114\) 1626.56 + 150.851i 1.33633 + 0.123934i
\(115\) 495.169 429.066i 0.401520 0.347919i
\(116\) −145.857 + 20.9711i −0.116746 + 0.0167855i
\(117\) 192.918 + 474.385i 0.152438 + 0.374845i
\(118\) −538.509 1833.99i −0.420117 1.43079i
\(119\) −1021.94 1179.38i −0.787234 0.908516i
\(120\) −621.947 247.028i −0.473131 0.187921i
\(121\) 1553.10 998.119i 1.16687 0.749902i
\(122\) 1582.29 + 2462.09i 1.17421 + 1.82711i
\(123\) −328.665 + 1371.05i −0.240932 + 1.00507i
\(124\) −1132.39 517.145i −0.820093 0.374524i
\(125\) −989.041 + 1141.41i −0.707700 + 0.816730i
\(126\) −1739.12 73.3582i −1.22962 0.0518672i
\(127\) −1478.72 + 1706.53i −1.03319 + 1.19236i −0.0521333 + 0.998640i \(0.516602\pi\)
−0.981056 + 0.193724i \(0.937943\pi\)
\(128\) 1691.87 + 496.778i 1.16829 + 0.343042i
\(129\) 972.490 + 233.123i 0.663744 + 0.159111i
\(130\) −702.259 + 100.970i −0.473786 + 0.0681201i
\(131\) 2413.30 1102.12i 1.60955 0.735056i 0.611144 0.791520i \(-0.290710\pi\)
0.998405 + 0.0564634i \(0.0179824\pi\)
\(132\) −1104.80 3164.21i −0.728486 2.08643i
\(133\) 1042.40i 0.679607i
\(134\) 2277.99 811.489i 1.46857 0.523149i
\(135\) −1190.11 + 9.71790i −0.758732 + 0.00619543i
\(136\) −1224.64 1061.15i −0.772145 0.669067i
\(137\) 138.233 + 302.688i 0.0862046 + 0.188762i 0.947825 0.318792i \(-0.103277\pi\)
−0.861620 + 0.507554i \(0.830550\pi\)
\(138\) 653.230 1644.65i 0.402947 1.01451i
\(139\) −287.278 978.380i −0.175299 0.597015i −0.999527 0.0307562i \(-0.990208\pi\)
0.824228 0.566259i \(-0.191610\pi\)
\(140\) 399.857 1361.79i 0.241386 0.822086i
\(141\) 704.709 246.052i 0.420902 0.146960i
\(142\) 1319.07 2052.51i 0.779532 1.21298i
\(143\) −807.978 700.117i −0.472493 0.409417i
\(144\) 660.874 66.7381i 0.382450 0.0386216i
\(145\) −30.7768 104.816i −0.0176267 0.0600312i
\(146\) 3102.05 1993.57i 1.75841 1.13006i
\(147\) 33.7779 + 670.673i 0.0189521 + 0.376300i
\(148\) 227.587 + 1582.91i 0.126403 + 0.879149i
\(149\) −1654.63 + 1433.74i −0.909749 + 0.788302i −0.977835 0.209378i \(-0.932856\pi\)
0.0680862 + 0.997679i \(0.478311\pi\)
\(150\) −283.270 + 1181.68i −0.154193 + 0.643228i
\(151\) 449.454 3126.02i 0.242225 1.68471i −0.398676 0.917092i \(-0.630530\pi\)
0.640902 0.767623i \(-0.278561\pi\)
\(152\) 154.042 + 1071.39i 0.0822004 + 0.571716i
\(153\) −2728.43 927.720i −1.44171 0.490207i
\(154\) 3305.50 1509.57i 1.72964 0.789901i
\(155\) 260.006 885.500i 0.134737 0.458871i
\(156\) −916.877 + 656.673i −0.470570 + 0.337025i
\(157\) −146.534 320.864i −0.0744883 0.163107i 0.868725 0.495295i \(-0.164940\pi\)
−0.943213 + 0.332189i \(0.892213\pi\)
\(158\) −2978.61 428.259i −1.49978 0.215636i
\(159\) 174.005 + 3454.94i 0.0867893 + 1.72323i
\(160\) −277.592 + 1930.70i −0.137160 + 0.953968i
\(161\) 1083.50 + 318.144i 0.530383 + 0.155734i
\(162\) −2840.93 + 1503.97i −1.37781 + 0.729403i
\(163\) −2291.17 −1.10097 −0.550486 0.834845i \(-0.685557\pi\)
−0.550486 + 0.834845i \(0.685557\pi\)
\(164\) −3104.89 −1.47836
\(165\) 2205.31 1144.53i 1.04051 0.540008i
\(166\) −353.984 161.659i −0.165509 0.0755855i
\(167\) 1926.34 1669.19i 0.892605 0.773446i −0.0821745 0.996618i \(-0.526186\pi\)
0.974779 + 0.223172i \(0.0716410\pi\)
\(168\) −221.361 1131.94i −0.101657 0.519828i
\(169\) 763.221 1671.22i 0.347392 0.760683i
\(170\) 2158.52 3358.72i 0.973827 1.51530i
\(171\) 971.559 + 1661.83i 0.434485 + 0.743178i
\(172\) 2202.30i 0.976303i
\(173\) −1124.05 + 1749.05i −0.493986 + 0.768658i −0.995324 0.0965941i \(-0.969205\pi\)
0.501338 + 0.865252i \(0.332841\pi\)
\(174\) −204.187 212.982i −0.0889620 0.0927936i
\(175\) −767.531 110.354i −0.331542 0.0476686i
\(176\) −1166.56 + 749.701i −0.499617 + 0.321084i
\(177\) 1387.55 1774.33i 0.589235 0.753485i
\(178\) 2997.92 1369.10i 1.26238 0.576510i
\(179\) −153.755 + 336.676i −0.0642020 + 0.140583i −0.939013 0.343881i \(-0.888258\pi\)
0.874811 + 0.484464i \(0.160985\pi\)
\(180\) −631.774 2543.69i −0.261609 1.05331i
\(181\) −692.893 1517.22i −0.284543 0.623063i 0.712350 0.701824i \(-0.247631\pi\)
−0.996894 + 0.0787613i \(0.974904\pi\)
\(182\) −800.756 924.122i −0.326132 0.376376i
\(183\) −1273.09 + 3205.29i −0.514262 + 1.29477i
\(184\) 1160.64 + 166.875i 0.465019 + 0.0668596i
\(185\) −1137.51 + 334.004i −0.452063 + 0.132738i
\(186\) −478.388 2446.26i −0.188587 0.964348i
\(187\) 5955.03 856.205i 2.32874 0.334823i
\(188\) 888.703 + 1382.85i 0.344762 + 0.536461i
\(189\) −1123.03 1716.49i −0.432214 0.660616i
\(190\) −2558.87 + 751.351i −0.977052 + 0.286888i
\(191\) 641.718 1405.17i 0.243105 0.532326i −0.748268 0.663397i \(-0.769114\pi\)
0.991373 + 0.131071i \(0.0418415\pi\)
\(192\) 1399.50 + 4008.26i 0.526042 + 1.50662i
\(193\) −2928.48 1882.02i −1.09221 0.701922i −0.134865 0.990864i \(-0.543060\pi\)
−0.957346 + 0.288942i \(0.906696\pi\)
\(194\) −1658.53 1437.12i −0.613791 0.531853i
\(195\) −578.596 603.516i −0.212483 0.221634i
\(196\) −1418.93 + 416.636i −0.517104 + 0.151835i
\(197\) 485.189 + 3374.56i 0.175474 + 1.22045i 0.867079 + 0.498170i \(0.165995\pi\)
−0.691606 + 0.722275i \(0.743096\pi\)
\(198\) 3862.76 5487.47i 1.38644 1.96958i
\(199\) −1670.96 + 1928.39i −0.595233 + 0.686935i −0.970808 0.239856i \(-0.922900\pi\)
0.375576 + 0.926792i \(0.377445\pi\)
\(200\) −805.180 −0.284674
\(201\) 2340.51 + 1625.61i 0.821328 + 0.570456i
\(202\) 5202.46 1.81210
\(203\) 123.295 142.290i 0.0426288 0.0491962i
\(204\) 586.069 6319.31i 0.201142 2.16882i
\(205\) −327.576 2278.34i −0.111604 0.776226i
\(206\) 114.092 33.5005i 0.0385882 0.0113305i
\(207\) 2023.87 502.667i 0.679560 0.168782i
\(208\) 352.644 + 305.568i 0.117555 + 0.101862i
\(209\) −3380.76 2172.68i −1.11891 0.719079i
\(210\) 2682.94 936.760i 0.881622 0.307822i
\(211\) −2531.93 + 5544.16i −0.826092 + 1.80889i −0.316036 + 0.948747i \(0.602352\pi\)
−0.510056 + 0.860141i \(0.670375\pi\)
\(212\) −7309.56 + 2146.28i −2.36803 + 0.695316i
\(213\) 2871.49 144.620i 0.923715 0.0465222i
\(214\) −2756.63 4289.40i −0.880559 1.37018i
\(215\) −1616.04 + 232.351i −0.512617 + 0.0737032i
\(216\) −1407.91 1598.26i −0.443502 0.503463i
\(217\) 1526.16 448.120i 0.477430 0.140186i
\(218\) 284.890 + 40.9611i 0.0885102 + 0.0127258i
\(219\) 4038.44 + 1604.01i 1.24608 + 0.494926i
\(220\) 3583.18 + 4135.21i 1.09808 + 1.26725i
\(221\) −840.987 1841.51i −0.255977 0.560512i
\(222\) −2311.37 + 2215.93i −0.698780 + 0.669926i
\(223\) −2287.28 + 5008.45i −0.686851 + 1.50399i 0.168367 + 0.985724i \(0.446151\pi\)
−0.855218 + 0.518269i \(0.826577\pi\)
\(224\) −3057.97 + 1396.53i −0.912140 + 0.416560i
\(225\) −1326.48 + 539.439i −0.393031 + 0.159834i
\(226\) −6439.14 + 4138.18i −1.89524 + 1.21800i
\(227\) 2336.05 + 335.874i 0.683036 + 0.0982058i 0.475094 0.879935i \(-0.342414\pi\)
0.207943 + 0.978141i \(0.433323\pi\)
\(228\) −3060.12 + 2933.76i −0.888865 + 0.852162i
\(229\) −20.5825 + 32.0269i −0.00593942 + 0.00924191i −0.844211 0.536012i \(-0.819930\pi\)
0.838271 + 0.545254i \(0.183567\pi\)
\(230\) 2889.07i 0.828258i
\(231\) 3714.34 + 2131.02i 1.05795 + 0.606973i
\(232\) 105.697 164.467i 0.0299109 0.0465422i
\(233\) −44.3802 + 97.1790i −0.0124783 + 0.0273236i −0.915769 0.401706i \(-0.868417\pi\)
0.903290 + 0.429030i \(0.141145\pi\)
\(234\) −2137.91 726.931i −0.597263 0.203081i
\(235\) −920.964 + 798.020i −0.255647 + 0.221519i
\(236\) 4512.12 + 2060.62i 1.24455 + 0.568367i
\(237\) −1633.51 3147.50i −0.447712 0.862668i
\(238\) 6881.09 1.87410
\(239\) 1533.92 0.415151 0.207576 0.978219i \(-0.433443\pi\)
0.207576 + 0.978219i \(0.433443\pi\)
\(240\) −962.516 + 499.532i −0.258876 + 0.134353i
\(241\) 286.564 + 84.1427i 0.0765942 + 0.0224901i 0.319805 0.947483i \(-0.396383\pi\)
−0.243211 + 0.969973i \(0.578201\pi\)
\(242\) −1158.53 + 8057.72i −0.307739 + 2.14037i
\(243\) −3390.21 1689.78i −0.894989 0.446088i
\(244\) −7517.83 1080.90i −1.97246 0.283597i
\(245\) −455.427 997.246i −0.118760 0.260048i
\(246\) −3619.88 5054.24i −0.938192 1.30995i
\(247\) −380.982 + 1297.50i −0.0981428 + 0.334244i
\(248\) 1502.37 686.110i 0.384680 0.175678i
\(249\) −88.0127 450.058i −0.0223999 0.114543i
\(250\) −947.758 6591.80i −0.239766 1.66761i
\(251\) −700.461 + 4871.81i −0.176146 + 1.22512i 0.689432 + 0.724351i \(0.257860\pi\)
−0.865578 + 0.500774i \(0.833049\pi\)
\(252\) 3099.41 3286.20i 0.774780 0.821473i
\(253\) −3290.16 + 2850.94i −0.817590 + 0.708446i
\(254\) −1417.00 9855.43i −0.350040 2.43458i
\(255\) 4698.90 236.656i 1.15395 0.0581176i
\(256\) −1042.03 + 669.673i −0.254402 + 0.163494i
\(257\) −95.8516 326.440i −0.0232648 0.0792327i 0.947042 0.321109i \(-0.104055\pi\)
−0.970307 + 0.241876i \(0.922237\pi\)
\(258\) −3584.99 + 2567.59i −0.865083 + 0.619579i
\(259\) −1544.20 1338.06i −0.370471 0.321015i
\(260\) 995.424 1548.91i 0.237437 0.369459i
\(261\) 63.9415 341.761i 0.0151643 0.0810515i
\(262\) −3295.83 + 11224.6i −0.777163 + 2.64678i
\(263\) 739.843 + 2519.67i 0.173463 + 0.590760i 0.999626 + 0.0273296i \(0.00870036\pi\)
−0.826164 + 0.563430i \(0.809481\pi\)
\(264\) 4132.54 + 1641.38i 0.963409 + 0.382652i
\(265\) −2346.11 5137.26i −0.543850 1.19087i
\(266\) −3473.72 3010.00i −0.800705 0.693815i
\(267\) 3368.72 + 1932.73i 0.772144 + 0.443000i
\(268\) −2279.78 + 5846.83i −0.519625 + 1.33266i
\(269\) 3040.33i 0.689115i 0.938765 + 0.344558i \(0.111971\pi\)
−0.938765 + 0.344558i \(0.888029\pi\)
\(270\) 3404.14 3994.02i 0.767295 0.900254i
\(271\) 5525.34 2523.34i 1.23853 0.565616i 0.314978 0.949099i \(-0.398003\pi\)
0.923548 + 0.383484i \(0.125276\pi\)
\(272\) −2599.09 + 373.693i −0.579387 + 0.0833032i
\(273\) 335.906 1401.26i 0.0744687 0.310652i
\(274\) −1407.84 413.379i −0.310404 0.0911428i
\(275\) 1957.67 2259.28i 0.429281 0.495416i
\(276\) 2115.47 + 4076.15i 0.461363 + 0.888970i
\(277\) 708.719 817.905i 0.153728 0.177412i −0.673661 0.739040i \(-0.735279\pi\)
0.827390 + 0.561628i \(0.189825\pi\)
\(278\) 4089.91 + 1867.80i 0.882361 + 0.402961i
\(279\) 2015.39 2136.85i 0.432466 0.458529i
\(280\) 1018.02 + 1584.08i 0.217281 + 0.338095i
\(281\) 5201.83 3343.02i 1.10433 0.709707i 0.144276 0.989537i \(-0.453915\pi\)
0.960049 + 0.279831i \(0.0902783\pi\)
\(282\) −1214.94 + 3058.88i −0.256556 + 0.645935i
\(283\) 4654.29 + 5371.34i 0.977628 + 1.12824i 0.991730 + 0.128343i \(0.0409658\pi\)
−0.0141014 + 0.999901i \(0.504489\pi\)
\(284\) 1783.83 + 6075.17i 0.372714 + 1.26935i
\(285\) −2475.63 1935.97i −0.514538 0.402376i
\(286\) 4666.17 670.893i 0.964742 0.138709i
\(287\) 2998.13 2597.90i 0.616635 0.534317i
\(288\) −3573.51 + 5076.55i −0.731149 + 1.03867i
\(289\) 6216.89 + 1825.44i 1.26540 + 0.371554i
\(290\) 438.162 + 200.102i 0.0887233 + 0.0405186i
\(291\) 238.817 2575.05i 0.0481089 0.518736i
\(292\) −1361.86 + 9471.91i −0.272933 + 1.89829i
\(293\) −1219.95 1898.28i −0.243243 0.378494i 0.698069 0.716030i \(-0.254043\pi\)
−0.941313 + 0.337536i \(0.890406\pi\)
\(294\) −2332.50 1824.05i −0.462701 0.361838i
\(295\) −1036.02 + 3528.36i −0.204473 + 0.696370i
\(296\) −1784.87 1147.07i −0.350485 0.225243i
\(297\) 7907.73 64.5707i 1.54496 0.0126154i
\(298\) 9653.95i 1.87664i
\(299\) 1232.38 + 792.004i 0.238363 + 0.153187i
\(300\) −1836.20 2563.78i −0.353376 0.493400i
\(301\) −1842.70 2126.59i −0.352861 0.407224i
\(302\) 9119.39 + 10524.3i 1.73762 + 2.00532i
\(303\) 3569.72 + 4984.20i 0.676815 + 0.945000i
\(304\) 1475.54 + 948.274i 0.278382 + 0.178905i
\(305\) 5630.57i 1.05707i
\(306\) 10970.1 6413.45i 2.04940 1.19814i
\(307\) −4764.95 3062.25i −0.885831 0.569289i 0.0167256 0.999860i \(-0.494676\pi\)
−0.902557 + 0.430571i \(0.858312\pi\)
\(308\) −2656.85 + 9048.41i −0.491520 + 1.67396i
\(309\) 110.381 + 86.3191i 0.0203215 + 0.0158917i
\(310\) 2200.07 + 3423.38i 0.403083 + 0.627210i
\(311\) 292.701 2035.78i 0.0533683 0.371185i −0.945582 0.325383i \(-0.894507\pi\)
0.998951 0.0458015i \(-0.0145842\pi\)
\(312\) 138.173 1489.86i 0.0250722 0.270342i
\(313\) 649.681 + 296.700i 0.117323 + 0.0535797i 0.473212 0.880949i \(-0.343095\pi\)
−0.355889 + 0.934528i \(0.615822\pi\)
\(314\) 1492.38 + 438.202i 0.268216 + 0.0787553i
\(315\) 2738.39 + 1927.62i 0.489812 + 0.344791i
\(316\) 5901.92 5114.04i 1.05066 0.910403i
\(317\) −3165.25 + 455.094i −0.560814 + 0.0806329i −0.416892 0.908956i \(-0.636881\pi\)
−0.143922 + 0.989589i \(0.545971\pi\)
\(318\) −12015.7 9396.47i −2.11890 1.65701i
\(319\) 204.497 + 696.453i 0.0358923 + 0.122238i
\(320\) −4538.99 5238.27i −0.792928 0.915088i
\(321\) 2217.96 5584.21i 0.385653 0.970966i
\(322\) −4188.86 + 2692.01i −0.724956 + 0.465901i
\(323\) −4114.17 6401.77i −0.708726 1.10280i
\(324\) 1878.32 8127.75i 0.322071 1.39365i
\(325\) −915.033 417.882i −0.156175 0.0713228i
\(326\) 6615.89 7635.14i 1.12399 1.29715i
\(327\) 156.238 + 301.045i 0.0264219 + 0.0509107i
\(328\) 2697.59 3113.19i 0.454115 0.524076i
\(329\) −2015.20 591.715i −0.337694 0.0991559i
\(330\) −2553.93 + 10653.9i −0.426028 + 1.77721i
\(331\) −1871.44 + 269.072i −0.310766 + 0.0446814i −0.295933 0.955209i \(-0.595631\pi\)
−0.0148325 + 0.999890i \(0.504722\pi\)
\(332\) 918.635 419.527i 0.151857 0.0693509i
\(333\) −3708.94 693.922i −0.610356 0.114194i
\(334\) 11239.3i 1.84127i
\(335\) −4530.89 1056.02i −0.738952 0.172229i
\(336\) −1621.14 930.090i −0.263215 0.151014i
\(337\) 4209.82 + 3647.83i 0.680486 + 0.589644i 0.924984 0.380005i \(-0.124078\pi\)
−0.244498 + 0.969650i \(0.578623\pi\)
\(338\) 3365.37 + 7369.12i 0.541573 + 1.18588i
\(339\) −8382.86 3329.55i −1.34305 0.533440i
\(340\) 2919.06 + 9941.39i 0.465612 + 1.58573i
\(341\) −1727.61 + 5883.71i −0.274356 + 0.934372i
\(342\) −8343.36 1561.00i −1.31917 0.246810i
\(343\) 3732.81 5808.36i 0.587617 0.914349i
\(344\) −2208.19 1913.41i −0.346098 0.299896i
\(345\) −2767.86 + 1982.36i −0.431933 + 0.309353i
\(346\) −2582.82 8796.28i −0.401310 1.36674i
\(347\) −4719.39 + 3032.97i −0.730116 + 0.469217i −0.852142 0.523310i \(-0.824697\pi\)
0.122027 + 0.992527i \(0.461061\pi\)
\(348\) 764.719 38.5145i 0.117797 0.00593274i
\(349\) 1601.79 + 11140.7i 0.245679 + 1.70873i 0.622644 + 0.782505i \(0.286059\pi\)
−0.376965 + 0.926227i \(0.623032\pi\)
\(350\) 2584.04 2239.08i 0.394636 0.341954i
\(351\) −770.515 2547.01i −0.117171 0.387320i
\(352\) 1844.46 12828.5i 0.279291 1.94251i
\(353\) −405.864 2822.85i −0.0611953 0.425623i −0.997271 0.0738248i \(-0.976479\pi\)
0.936076 0.351798i \(-0.114430\pi\)
\(354\) 1906.18 + 9747.39i 0.286194 + 1.46347i
\(355\) −4269.72 + 1949.91i −0.638347 + 0.291523i
\(356\) −2409.63 + 8206.45i −0.358736 + 1.22174i
\(357\) 4721.53 + 6592.42i 0.699972 + 0.977332i
\(358\) −677.969 1484.55i −0.100089 0.219164i
\(359\) −9754.73 1402.52i −1.43408 0.206190i −0.618933 0.785444i \(-0.712435\pi\)
−0.815147 + 0.579254i \(0.803344\pi\)
\(360\) 3099.39 + 1576.55i 0.453756 + 0.230810i
\(361\) 252.730 1757.78i 0.0368465 0.256273i
\(362\) 7056.80 + 2072.06i 1.02458 + 0.300843i
\(363\) −8514.62 + 4418.97i −1.23113 + 0.638941i
\(364\) 3173.29 0.456939
\(365\) −7094.11 −1.01732
\(366\) −7005.25 13498.0i −1.00047 1.92773i
\(367\) −4615.58 2107.86i −0.656488 0.299808i 0.0591812 0.998247i \(-0.481151\pi\)
−0.715670 + 0.698439i \(0.753878\pi\)
\(368\) 1436.00 1244.30i 0.203415 0.176260i
\(369\) 2358.39 6936.04i 0.332717 0.978525i
\(370\) 2171.60 4755.13i 0.305124 0.668129i
\(371\) 5262.42 8188.49i 0.736419 1.14589i
\(372\) 5610.77 + 3219.05i 0.782003 + 0.448656i
\(373\) 331.596i 0.0460306i −0.999735 0.0230153i \(-0.992673\pi\)
0.999735 0.0230153i \(-0.00732664\pi\)
\(374\) −14342.3 + 22317.0i −1.98295 + 3.08552i
\(375\) 5664.95 5431.03i 0.780098 0.747886i
\(376\) −2158.67 310.370i −0.296077 0.0425694i
\(377\) 205.474 132.050i 0.0280702 0.0180396i
\(378\) 8962.89 + 1214.06i 1.21958 + 0.165197i
\(379\) −10898.9 + 4977.35i −1.47715 + 0.674590i −0.981064 0.193686i \(-0.937956\pi\)
−0.496082 + 0.868276i \(0.665228\pi\)
\(380\) 2875.06 6295.51i 0.388125 0.849876i
\(381\) 8469.69 8119.95i 1.13888 1.09186i
\(382\) 2829.61 + 6195.97i 0.378993 + 0.829878i
\(383\) −736.344 849.787i −0.0982387 0.113374i 0.704501 0.709703i \(-0.251171\pi\)
−0.802740 + 0.596329i \(0.796625\pi\)
\(384\) −8515.27 3382.14i −1.13162 0.449464i
\(385\) −6919.97 994.941i −0.916037 0.131706i
\(386\) 14727.9 4324.49i 1.94204 0.570235i
\(387\) −4919.75 1672.81i −0.646215 0.219725i
\(388\) 5637.17 810.503i 0.737588 0.106049i
\(389\) −1984.54 3088.00i −0.258663 0.402488i 0.687497 0.726188i \(-0.258710\pi\)
−0.946160 + 0.323700i \(0.895073\pi\)
\(390\) 3681.90 185.436i 0.478052 0.0240767i
\(391\) −7909.81 + 2322.53i −1.02306 + 0.300398i
\(392\) 815.049 1784.71i 0.105016 0.229953i
\(393\) −13015.1 + 4544.28i −1.67055 + 0.583279i
\(394\) −12646.5 8127.40i −1.61706 1.03922i
\(395\) 4375.32 + 3791.24i 0.557332 + 0.482931i
\(396\) 4197.83 + 16901.6i 0.532699 + 2.14479i
\(397\) −7905.58 + 2321.29i −0.999419 + 0.293456i −0.740218 0.672367i \(-0.765278\pi\)
−0.259202 + 0.965823i \(0.583459\pi\)
\(398\) −1601.22 11136.7i −0.201662 1.40259i
\(399\) 500.191 5393.33i 0.0627591 0.676703i
\(400\) −854.433 + 986.068i −0.106804 + 0.123259i
\(401\) −3522.16 −0.438624 −0.219312 0.975655i \(-0.570381\pi\)
−0.219312 + 0.975655i \(0.570381\pi\)
\(402\) −12175.6 + 3105.52i −1.51060 + 0.385297i
\(403\) 2063.43 0.255054
\(404\) −8841.31 + 10203.4i −1.08879 + 1.25653i
\(405\) 6162.26 + 520.791i 0.756062 + 0.0638971i
\(406\) 118.149 + 821.744i 0.0144425 + 0.100449i
\(407\) 7558.22 2219.29i 0.920509 0.270286i
\(408\) 5827.02 + 6077.99i 0.707060 + 0.737513i
\(409\) 9092.76 + 7878.92i 1.09929 + 0.952537i 0.999099 0.0424315i \(-0.0135104\pi\)
0.100187 + 0.994969i \(0.468056\pi\)
\(410\) 8538.30 + 5487.23i 1.02848 + 0.660963i
\(411\) −569.967 1632.42i −0.0684048 0.195916i
\(412\) −128.190 + 280.698i −0.0153288 + 0.0335655i
\(413\) −6081.13 + 1785.58i −0.724535 + 0.212743i
\(414\) −4168.95 + 8195.88i −0.494911 + 0.972960i
\(415\) 404.765 + 629.826i 0.0478774 + 0.0744987i
\(416\) −4316.75 + 620.655i −0.508764 + 0.0731493i
\(417\) 1016.89 + 5199.94i 0.119418 + 0.610652i
\(418\) 17002.4 4992.36i 1.98951 0.584173i
\(419\) 6013.53 + 864.615i 0.701146 + 0.100810i 0.483663 0.875254i \(-0.339306\pi\)
0.217483 + 0.976064i \(0.430215\pi\)
\(420\) −2722.29 + 6853.95i −0.316271 + 0.796282i
\(421\) −4330.96 4998.19i −0.501373 0.578615i 0.447496 0.894286i \(-0.352316\pi\)
−0.948869 + 0.315671i \(0.897770\pi\)
\(422\) −11164.4 24446.5i −1.28785 2.82000i
\(423\) −3764.20 + 934.910i −0.432675 + 0.107463i
\(424\) 4198.68 9193.83i 0.480910 1.05305i
\(425\) 5149.24 2351.58i 0.587705 0.268396i
\(426\) −7809.66 + 9986.62i −0.888215 + 1.13581i
\(427\) 8163.76 5246.53i 0.925227 0.594607i
\(428\) 13097.4 + 1883.13i 1.47918 + 0.212674i
\(429\) 3844.49 + 4010.07i 0.432666 + 0.451301i
\(430\) 3892.11 6056.24i 0.436498 0.679204i
\(431\) 6118.18i 0.683765i 0.939743 + 0.341882i \(0.111064\pi\)
−0.939743 + 0.341882i \(0.888936\pi\)
\(432\) −3451.35 + 28.1821i −0.384383 + 0.00313868i
\(433\) 7124.57 11086.0i 0.790727 1.23040i −0.178430 0.983953i \(-0.557102\pi\)
0.969157 0.246443i \(-0.0792618\pi\)
\(434\) −2913.54 + 6379.77i −0.322246 + 0.705620i
\(435\) 108.942 + 557.082i 0.0120078 + 0.0614024i
\(436\) −564.492 + 489.135i −0.0620052 + 0.0537278i
\(437\) 5008.99 + 2287.53i 0.548312 + 0.250406i
\(438\) −17006.5 + 8826.11i −1.85525 + 0.962849i
\(439\) 15638.3 1.70018 0.850088 0.526641i \(-0.176549\pi\)
0.850088 + 0.526641i \(0.176549\pi\)
\(440\) −7259.41 −0.786542
\(441\) 147.054 3486.24i 0.0158789 0.376443i
\(442\) 8565.07 + 2514.93i 0.921717 + 0.270641i
\(443\) 514.819 3580.64i 0.0552140 0.384022i −0.943412 0.331622i \(-0.892404\pi\)
0.998626 0.0523993i \(-0.0166869\pi\)
\(444\) −417.976 8299.08i −0.0446763 0.887065i
\(445\) −6276.06 902.361i −0.668570 0.0961259i
\(446\) −10085.6 22084.4i −1.07078 2.34468i
\(447\) 9248.95 6624.16i 0.978658 0.700921i
\(448\) 3365.57 11462.1i 0.354929 1.20878i
\(449\) 15194.5 6939.09i 1.59704 0.729345i 0.599564 0.800327i \(-0.295341\pi\)
0.997478 + 0.0709818i \(0.0226132\pi\)
\(450\) 2032.65 5978.05i 0.212934 0.626240i
\(451\) 2176.58 + 15138.5i 0.227254 + 1.58058i
\(452\) 2826.90 19661.5i 0.294173 2.04602i
\(453\) −3825.46 + 15958.2i −0.396767 + 1.65515i
\(454\) −7864.76 + 6814.85i −0.813021 + 0.704487i
\(455\) 334.794 + 2328.54i 0.0344953 + 0.239920i
\(456\) −282.906 5617.21i −0.0290533 0.576864i
\(457\) 3929.35 2525.24i 0.402204 0.258481i −0.323864 0.946104i \(-0.604982\pi\)
0.726068 + 0.687623i \(0.241346\pi\)
\(458\) −47.2941 161.069i −0.00482513 0.0164329i
\(459\) 13671.6 + 6109.20i 1.39028 + 0.621249i
\(460\) −5666.23 4909.82i −0.574325 0.497655i
\(461\) 1405.86 2187.56i 0.142034 0.221009i −0.762947 0.646461i \(-0.776248\pi\)
0.904981 + 0.425452i \(0.139885\pi\)
\(462\) −17826.8 + 6224.32i −1.79519 + 0.626800i
\(463\) −97.9742 + 333.669i −0.00983423 + 0.0334923i −0.964264 0.264943i \(-0.914647\pi\)
0.954430 + 0.298436i \(0.0964649\pi\)
\(464\) −89.2534 303.969i −0.00892992 0.0304125i
\(465\) −1770.16 + 4456.77i −0.176536 + 0.444468i
\(466\) −195.691 428.504i −0.0194532 0.0425967i
\(467\) 9532.61 + 8260.05i 0.944575 + 0.818479i 0.983527 0.180762i \(-0.0578564\pi\)
−0.0389518 + 0.999241i \(0.512402\pi\)
\(468\) 5058.97 2957.63i 0.499682 0.292130i
\(469\) −2690.72 7553.32i −0.264917 0.743668i
\(470\) 5373.37i 0.527351i
\(471\) 604.193 + 1730.45i 0.0591077 + 0.169288i
\(472\) −5986.35 + 2733.88i −0.583780 + 0.266603i
\(473\) 10737.8 1543.86i 1.04381 0.150077i
\(474\) 15205.7 + 3645.06i 1.47346 + 0.353213i
\(475\) −3628.10 1065.31i −0.350460 0.102904i
\(476\) −11694.1 + 13495.7i −1.12604 + 1.29952i
\(477\) 757.541 17959.2i 0.0727158 1.72389i
\(478\) −4429.29 + 5111.67i −0.423831 + 0.489127i
\(479\) −5737.86 2620.39i −0.547327 0.249956i 0.122506 0.992468i \(-0.460907\pi\)
−0.669833 + 0.742512i \(0.733634\pi\)
\(480\) 2362.68 9856.12i 0.224669 0.937226i
\(481\) −1433.07 2229.90i −0.135847 0.211382i
\(482\) −1107.87 + 711.984i −0.104693 + 0.0672821i
\(483\) −5453.31 2165.97i −0.513735 0.204048i
\(484\) −13834.5 15965.9i −1.29926 1.49942i
\(485\) 1189.48 + 4051.01i 0.111364 + 0.379272i
\(486\) 15420.5 6418.28i 1.43928 0.599051i
\(487\) −13912.4 + 2000.30i −1.29452 + 0.186123i −0.754929 0.655807i \(-0.772329\pi\)
−0.539587 + 0.841930i \(0.681420\pi\)
\(488\) 7615.44 6598.82i 0.706424 0.612120i
\(489\) 11854.4 + 1099.41i 1.09627 + 0.101671i
\(490\) 4638.32 + 1361.93i 0.427628 + 0.125563i
\(491\) 19696.1 + 8994.90i 1.81033 + 0.826750i 0.946284 + 0.323336i \(0.104804\pi\)
0.864045 + 0.503414i \(0.167923\pi\)
\(492\) 16064.5 + 1489.86i 1.47204 + 0.136521i
\(493\) −195.608 + 1360.48i −0.0178696 + 0.124286i
\(494\) −3223.72 5016.21i −0.293608 0.456862i
\(495\) −11959.4 + 4863.51i −1.08593 + 0.441613i
\(496\) 754.023 2567.97i 0.0682593 0.232470i
\(497\) −6805.67 4373.74i −0.614238 0.394747i
\(498\) 1753.93 + 1006.27i 0.157822 + 0.0905466i
\(499\) 18854.3i 1.69146i −0.533615 0.845728i \(-0.679167\pi\)
0.533615 0.845728i \(-0.320833\pi\)
\(500\) 14539.0 + 9343.62i 1.30040 + 0.835719i
\(501\) −10767.8 + 7711.94i −0.960215 + 0.687713i
\(502\) −14212.3 16401.9i −1.26360 1.45827i
\(503\) −13165.2 15193.4i −1.16701 1.34680i −0.926562 0.376142i \(-0.877250\pi\)
−0.240450 0.970661i \(-0.577295\pi\)
\(504\) 602.153 + 5962.82i 0.0532183 + 0.526994i
\(505\) −8419.98 5411.19i −0.741949 0.476822i
\(506\) 19196.4i 1.68653i
\(507\) −4750.79 + 8280.58i −0.416154 + 0.725352i
\(508\) 21737.2 + 13969.7i 1.89849 + 1.22009i
\(509\) −2811.20 + 9574.08i −0.244802 + 0.833720i 0.741806 + 0.670614i \(0.233969\pi\)
−0.986609 + 0.163106i \(0.947849\pi\)
\(510\) −12779.7 + 16342.1i −1.10960 + 1.41890i
\(511\) −6610.24 10285.7i −0.572250 0.890439i
\(512\) −1230.25 + 8556.57i −0.106191 + 0.738576i
\(513\) −4229.38 9064.44i −0.363999 0.780126i
\(514\) 1364.61 + 623.198i 0.117102 + 0.0534788i
\(515\) −219.498 64.4506i −0.0187811 0.00551462i
\(516\) 1056.76 11394.6i 0.0901579 0.972131i
\(517\) 6119.35 5302.45i 0.520559 0.451067i
\(518\) 8917.94 1282.21i 0.756432 0.108759i
\(519\) 6655.03 8510.13i 0.562858 0.719755i
\(520\) 688.205 + 2343.81i 0.0580381 + 0.197660i
\(521\) 13394.1 + 15457.7i 1.12631 + 1.29983i 0.948858 + 0.315703i \(0.102240\pi\)
0.177453 + 0.984129i \(0.443214\pi\)
\(522\) 954.255 + 1199.93i 0.0800127 + 0.100612i
\(523\) 12156.3 7812.40i 1.01637 0.653178i 0.0773324 0.997005i \(-0.475360\pi\)
0.939033 + 0.343827i \(0.111723\pi\)
\(524\) −16413.3 25539.5i −1.36835 2.12920i
\(525\) 3918.21 + 939.264i 0.325724 + 0.0780816i
\(526\) −10533.0 4810.24i −0.873115 0.398738i
\(527\) −7604.04 + 8775.53i −0.628534 + 0.725366i
\(528\) 6395.45 3319.15i 0.527133 0.273575i
\(529\) −4061.22 + 4686.90i −0.333790 + 0.385214i
\(530\) 23894.0 + 7015.92i 1.95828 + 0.575004i
\(531\) −8030.52 + 8514.49i −0.656299 + 0.695852i
\(532\) 11806.8 1697.56i 0.962200 0.138344i
\(533\) 4681.35 2137.90i 0.380435 0.173739i
\(534\) −16168.0 + 5645.14i −1.31022 + 0.457470i
\(535\) 9809.48i 0.792711i
\(536\) −3881.74 7365.72i −0.312809 0.593565i
\(537\) 957.071 1668.16i 0.0769100 0.134053i
\(538\) −10131.7 8779.13i −0.811908 0.703522i
\(539\) 3026.09 + 6626.21i 0.241824 + 0.529520i
\(540\) 2048.19 + 13464.1i 0.163222 + 1.07297i
\(541\) −2724.80 9279.80i −0.216540 0.737467i −0.994082 0.108636i \(-0.965352\pi\)
0.777542 0.628831i \(-0.216466\pi\)
\(542\) −7545.92 + 25699.0i −0.598016 + 2.03666i
\(543\) 2856.96 + 8182.52i 0.225790 + 0.646677i
\(544\) 13268.3 20645.8i 1.04572 1.62718i
\(545\) −418.480 362.615i −0.0328912 0.0285004i
\(546\) 3699.64 + 5165.60i 0.289981 + 0.404885i
\(547\) 2519.77 + 8581.57i 0.196961 + 0.670788i 0.997445 + 0.0714343i \(0.0227576\pi\)
−0.800484 + 0.599354i \(0.795424\pi\)
\(548\) 3203.30 2058.63i 0.249704 0.160475i
\(549\) 8124.97 15973.1i 0.631631 1.24174i
\(550\) 1875.96 + 13047.6i 0.145439 + 1.01155i
\(551\) 693.863 601.236i 0.0536471 0.0464855i
\(552\) −5925.02 1420.33i −0.456858 0.109517i
\(553\) −1420.02 + 9876.42i −0.109196 + 0.759472i
\(554\) 679.136 + 4723.50i 0.0520826 + 0.362242i
\(555\) 6045.71 1182.29i 0.462389 0.0904242i
\(556\) −10613.8 + 4847.18i −0.809581 + 0.369723i
\(557\) −4258.39 + 14502.7i −0.323938 + 1.10323i 0.623108 + 0.782136i \(0.285870\pi\)
−0.947046 + 0.321097i \(0.895948\pi\)
\(558\) 1301.33 + 12886.4i 0.0987268 + 0.977643i
\(559\) −1516.42 3320.49i −0.114736 0.251238i
\(560\) 3020.24 + 434.245i 0.227908 + 0.0327682i
\(561\) −31221.9 + 1572.46i −2.34971 + 0.118341i
\(562\) −3880.27 + 26987.9i −0.291244 + 2.02565i
\(563\) 12048.4 + 3537.74i 0.901921 + 0.264828i 0.699636 0.714499i \(-0.253345\pi\)
0.202284 + 0.979327i \(0.435164\pi\)
\(564\) −3934.55 7581.23i −0.293749 0.566006i
\(565\) 14725.7 1.09649
\(566\) −31339.1 −2.32735
\(567\) 4986.86 + 9419.92i 0.369362 + 0.697706i
\(568\) −7641.24 3489.64i −0.564471 0.257785i
\(569\) −4218.51 + 3655.36i −0.310807 + 0.269316i −0.796270 0.604942i \(-0.793196\pi\)
0.485463 + 0.874257i \(0.338651\pi\)
\(570\) 13600.0 2659.59i 0.999370 0.195435i
\(571\) 8671.43 18987.8i 0.635531 1.39162i −0.268136 0.963381i \(-0.586408\pi\)
0.903666 0.428237i \(-0.140865\pi\)
\(572\) −6614.11 + 10291.8i −0.483479 + 0.752307i
\(573\) −3994.48 + 6962.33i −0.291225 + 0.507601i
\(574\) 17492.6i 1.27200i
\(575\) −2214.61 + 3446.00i −0.160618 + 0.249927i
\(576\) −5317.59 21410.1i −0.384664 1.54876i
\(577\) 11968.2 + 1720.76i 0.863502 + 0.124153i 0.559814 0.828618i \(-0.310873\pi\)
0.303689 + 0.952771i \(0.401782\pi\)
\(578\) −24034.8 + 15446.2i −1.72961 + 1.11155i
\(579\) 14248.7 + 11142.7i 1.02272 + 0.799784i
\(580\) −1137.09 + 519.290i −0.0814051 + 0.0371765i
\(581\) −536.028 + 1173.74i −0.0382757 + 0.0838120i
\(582\) 7891.55 + 8231.45i 0.562054 + 0.586262i
\(583\) 15588.7 + 34134.6i 1.10741 + 2.42489i
\(584\) −8314.03 9594.90i −0.589104 0.679863i
\(585\) 2704.03 + 3400.20i 0.191108 + 0.240309i
\(586\) 9848.56 + 1416.01i 0.694266 + 0.0998204i
\(587\) −2927.67 + 859.643i −0.205857 + 0.0604451i −0.383035 0.923734i \(-0.625121\pi\)
0.177178 + 0.984179i \(0.443303\pi\)
\(588\) 7541.41 1474.79i 0.528916 0.103434i
\(589\) 7677.36 1103.84i 0.537080 0.0772205i
\(590\) −8766.42 13640.8i −0.611708 0.951837i
\(591\) −891.075 17692.6i −0.0620202 1.23143i
\(592\) −3298.81 + 968.618i −0.229021 + 0.0672466i
\(593\) 5046.24 11049.7i 0.349451 0.765190i −0.650533 0.759478i \(-0.725455\pi\)
0.999984 0.00571206i \(-0.00181821\pi\)
\(594\) −22618.9 + 26538.3i −1.56240 + 1.83313i
\(595\) −11136.8 7157.18i −0.767334 0.493136i
\(596\) 18934.0 + 16406.4i 1.30129 + 1.12757i
\(597\) 9570.80 9175.60i 0.656125 0.629032i
\(598\) −6197.87 + 1819.86i −0.423829 + 0.124447i
\(599\) 3434.02 + 23884.1i 0.234241 + 1.62918i 0.679428 + 0.733743i \(0.262228\pi\)
−0.445187 + 0.895438i \(0.646863\pi\)
\(600\) 4165.96 + 386.362i 0.283458 + 0.0262886i
\(601\) −7537.36 + 8698.58i −0.511573 + 0.590387i −0.951501 0.307646i \(-0.900459\pi\)
0.439928 + 0.898033i \(0.355004\pi\)
\(602\) 12407.6 0.840025
\(603\) −11329.6 9533.91i −0.765139 0.643865i
\(604\) −36139.0 −2.43456
\(605\) 10256.1 11836.1i 0.689203 0.795383i
\(606\) −26917.2 2496.37i −1.80435 0.167340i
\(607\) 2851.06 + 19829.6i 0.190644 + 1.32596i 0.830308 + 0.557304i \(0.188164\pi\)
−0.639664 + 0.768654i \(0.720927\pi\)
\(608\) −15729.2 + 4618.52i −1.04919 + 0.308069i
\(609\) −706.202 + 677.041i −0.0469897 + 0.0450494i
\(610\) 18763.4 + 16258.6i 1.24542 + 1.07917i
\(611\) −2292.10 1473.05i −0.151765 0.0975337i
\(612\) −6064.58 + 32414.6i −0.400566 + 2.14098i
\(613\) −2226.76 + 4875.93i −0.146718 + 0.321267i −0.968695 0.248253i \(-0.920144\pi\)
0.821977 + 0.569520i \(0.192871\pi\)
\(614\) 23963.8 7036.40i 1.57508 0.462485i
\(615\) 601.611 + 11945.2i 0.0394460 + 0.783216i
\(616\) −6764.27 10525.4i −0.442435 0.688443i
\(617\) −20149.4 + 2897.05i −1.31473 + 0.189029i −0.763761 0.645499i \(-0.776649\pi\)
−0.550965 + 0.834528i \(0.685740\pi\)
\(618\) −606.382 + 118.583i −0.0394697 + 0.00771863i
\(619\) −19922.4 + 5849.74i −1.29362 + 0.379840i −0.854904 0.518787i \(-0.826384\pi\)
−0.438713 + 0.898627i \(0.644566\pi\)
\(620\) −10453.1 1502.93i −0.677106 0.0973532i
\(621\) −10712.6 + 1629.63i −0.692243 + 0.105306i
\(622\) 5938.88 + 6853.83i 0.382842 + 0.441823i
\(623\) −4539.66 9940.47i −0.291938 0.639256i
\(624\) −1677.94 1750.21i −0.107646 0.112283i
\(625\) −2568.38 + 5623.97i −0.164376 + 0.359934i
\(626\) −2864.72 + 1308.27i −0.182903 + 0.0835290i
\(627\) 16449.3 + 12863.6i 1.04772 + 0.819333i
\(628\) −3395.65 + 2182.25i −0.215766 + 0.138665i
\(629\) 14764.6 + 2122.82i 0.935933 + 0.134567i
\(630\) −14330.9 + 3559.35i −0.906281 + 0.225092i
\(631\) 3961.97 6164.94i 0.249958 0.388942i −0.693488 0.720468i \(-0.743927\pi\)
0.943446 + 0.331526i \(0.107563\pi\)
\(632\) 10360.9i 0.652110i
\(633\) 15760.4 27470.2i 0.989606 1.72487i
\(634\) 7623.27 11862.0i 0.477538 0.743063i
\(635\) −7957.50 + 17424.5i −0.497297 + 1.08893i
\(636\) 38849.2 7597.28i 2.42212 0.473667i
\(637\) 1852.50 1605.20i 0.115225 0.0998434i
\(638\) −2911.37 1329.58i −0.180662 0.0825056i
\(639\) −14926.3 629.613i −0.924064 0.0389782i
\(640\) 14958.3 0.923874
\(641\) −19810.5 −1.22070 −0.610350 0.792131i \(-0.708971\pi\)
−0.610350 + 0.792131i \(0.708971\pi\)
\(642\) 12204.4 + 23515.9i 0.750265 + 1.44564i
\(643\) −377.509 110.847i −0.0231532 0.00679839i 0.270135 0.962822i \(-0.412932\pi\)
−0.293289 + 0.956024i \(0.594750\pi\)
\(644\) 1838.98 12790.4i 0.112525 0.782628i
\(645\) 8472.78 426.724i 0.517233 0.0260500i
\(646\) 33213.3 + 4775.35i 2.02285 + 0.290842i
\(647\) −6193.21 13561.2i −0.376322 0.824030i −0.999132 0.0416567i \(-0.986736\pi\)
0.622810 0.782373i \(-0.285991\pi\)
\(648\) 6517.56 + 8944.91i 0.395114 + 0.542267i
\(649\) 6883.85 23444.3i 0.416356 1.41798i
\(650\) 4034.77 1842.62i 0.243472 0.111190i
\(651\) −8111.29 + 1586.23i −0.488336 + 0.0954982i
\(652\) 3731.20 + 25951.1i 0.224118 + 1.55878i
\(653\) 2267.04 15767.6i 0.135859 0.944921i −0.801856 0.597517i \(-0.796154\pi\)
0.937715 0.347404i \(-0.112937\pi\)
\(654\) −1454.35 348.634i −0.0869568 0.0208450i
\(655\) 17009.1 14738.5i 1.01466 0.879205i
\(656\) −949.977 6607.24i −0.0565402 0.393246i
\(657\) −20125.0 10236.9i −1.19505 0.607882i
\(658\) 7790.84 5006.87i 0.461579 0.296639i
\(659\) 3208.70 + 10927.8i 0.189671 + 0.645960i 0.998335 + 0.0576886i \(0.0183730\pi\)
−0.808664 + 0.588271i \(0.799809\pi\)
\(660\) −16554.9 23114.7i −0.976363 1.36324i
\(661\) −2263.83 1961.62i −0.133211 0.115428i 0.585707 0.810523i \(-0.300817\pi\)
−0.718918 + 0.695095i \(0.755362\pi\)
\(662\) 4507.22 7013.38i 0.264620 0.411756i
\(663\) 3467.59 + 9931.40i 0.203122 + 0.581755i
\(664\) −377.482 + 1285.58i −0.0220619 + 0.0751361i
\(665\) 2491.32 + 8484.66i 0.145277 + 0.494769i
\(666\) 13022.2 10356.0i 0.757659 0.602534i
\(667\) −413.171 904.717i −0.0239850 0.0525199i
\(668\) −22043.2 19100.6i −1.27676 1.10632i
\(669\) 14237.6 24815.9i 0.822804 1.43414i
\(670\) 16602.3 12049.5i 0.957319 0.694795i
\(671\) 37412.4i 2.15244i
\(672\) 16491.9 5758.22i 0.946710 0.330548i
\(673\) −5557.88 + 2538.20i −0.318337 + 0.145380i −0.568174 0.822908i \(-0.692350\pi\)
0.249838 + 0.968288i \(0.419623\pi\)
\(674\) −24312.2 + 3495.57i −1.38942 + 0.199769i
\(675\) 7121.98 2154.52i 0.406112 0.122856i
\(676\) −20172.1 5923.06i −1.14771 0.336997i
\(677\) −22727.0 + 26228.4i −1.29021 + 1.48898i −0.515134 + 0.857110i \(0.672258\pi\)
−0.775075 + 0.631870i \(0.782288\pi\)
\(678\) 35301.5 18321.0i 1.99962 1.03778i
\(679\) −4765.20 + 5499.33i −0.269325 + 0.310817i
\(680\) −12504.1 5710.43i −0.705163 0.322037i
\(681\) −11925.4 2858.74i −0.671049 0.160862i
\(682\) −14618.4 22746.7i −0.820775 1.27715i
\(683\) −872.519 + 560.734i −0.0488814 + 0.0314142i −0.564853 0.825191i \(-0.691067\pi\)
0.515972 + 0.856606i \(0.327431\pi\)
\(684\) 17240.6 13710.7i 0.963761 0.766437i
\(685\) 1848.57 + 2133.36i 0.103110 + 0.118995i
\(686\) 8577.20 + 29211.3i 0.477375 + 1.62579i
\(687\) 121.861 155.829i 0.00676749 0.00865394i
\(688\) −4686.53 + 673.822i −0.259698 + 0.0373390i
\(689\) 9543.04 8269.09i 0.527665 0.457224i
\(690\) 1386.30 14947.9i 0.0764865 0.824719i
\(691\) −27604.2 8105.31i −1.51970 0.446224i −0.587819 0.808992i \(-0.700013\pi\)
−0.931879 + 0.362769i \(0.881832\pi\)
\(692\) 21641.2 + 9883.22i 1.18884 + 0.542924i
\(693\) −18195.3 12808.1i −0.997376 0.702077i
\(694\) 3520.39 24484.9i 0.192554 1.33924i
\(695\) −4676.62 7276.96i −0.255244 0.397167i
\(696\) −625.787 + 800.226i −0.0340810 + 0.0435812i
\(697\) −8159.21 + 27787.7i −0.443403 + 1.51009i
\(698\) −41750.8 26831.6i −2.26402 1.45500i
\(699\) 276.252 481.504i 0.0149482 0.0260546i
\(700\) 8873.20i 0.479108i
\(701\) −10057.7 6463.72i −0.541906 0.348262i 0.240878 0.970555i \(-0.422565\pi\)
−0.782784 + 0.622294i \(0.786201\pi\)
\(702\) 10712.6 + 4786.97i 0.575957 + 0.257368i
\(703\) −6524.88 7530.11i −0.350058 0.403988i
\(704\) 30159.4 + 34805.7i 1.61459 + 1.86334i
\(705\) 5147.95 3686.99i 0.275011 0.196965i
\(706\) 10578.9 + 6798.62i 0.563939 + 0.362422i
\(707\) 17250.2i 0.917627i
\(708\) −22356.7 12826.6i −1.18675 0.680868i
\(709\) −27239.6 17505.8i −1.44288 0.927285i −0.999521 0.0309417i \(-0.990149\pi\)
−0.443362 0.896343i \(-0.646214\pi\)
\(710\) 5831.12 19859.0i 0.308223 1.04971i
\(711\) 6941.38 + 17068.8i 0.366135 + 0.900326i
\(712\) −6134.85 9546.01i −0.322912 0.502461i
\(713\) 1195.80 8316.94i 0.0628091 0.436847i
\(714\) −35602.4 3301.86i −1.86609 0.173066i
\(715\) −8249.83 3767.57i −0.431505 0.197062i
\(716\) 4063.77 + 1193.23i 0.212109 + 0.0622808i
\(717\) −7936.43 736.045i −0.413377 0.0383377i
\(718\) 32841.1 28457.0i 1.70699 1.47912i
\(719\) −2472.89 + 355.549i −0.128266 + 0.0184419i −0.206149 0.978521i \(-0.566093\pi\)
0.0778827 + 0.996963i \(0.475184\pi\)
\(720\) 5219.71 2122.70i 0.270176 0.109872i
\(721\) −111.080 378.305i −0.00573766 0.0195407i
\(722\) 5127.88 + 5917.88i 0.264321 + 0.305043i
\(723\) −1442.29 572.856i −0.0741900 0.0294672i
\(724\) −16056.5 + 10318.9i −0.824222 + 0.529695i
\(725\) 369.240 + 574.549i 0.0189148 + 0.0294320i
\(726\) 9860.61 41134.3i 0.504079 2.10281i
\(727\) −32142.6 14679.0i −1.63975 0.748851i −0.639946 0.768420i \(-0.721043\pi\)
−0.999809 + 0.0195686i \(0.993771\pi\)
\(728\) −2757.03 + 3181.78i −0.140360 + 0.161984i
\(729\) 16730.0 + 10369.6i 0.849970 + 0.526831i
\(730\) 20484.7 23640.5i 1.03859 1.19860i
\(731\) 19709.9 + 5787.35i 0.997260 + 0.292822i
\(732\) 38378.2 + 9199.92i 1.93784 + 0.464534i
\(733\) −16801.9 + 2415.75i −0.846647 + 0.121730i −0.551967 0.833866i \(-0.686122\pi\)
−0.294681 + 0.955596i \(0.595213\pi\)
\(734\) 20352.0 9294.47i 1.02344 0.467391i
\(735\) 1877.83 + 5378.24i 0.0942380 + 0.269904i
\(736\) 17758.9i 0.889407i
\(737\) 30105.5 + 7016.76i 1.50468 + 0.350700i
\(738\) 16303.8 + 27887.4i 0.813214 + 1.39099i
\(739\) −13191.9 11430.9i −0.656661 0.569000i 0.261502 0.965203i \(-0.415782\pi\)
−0.918163 + 0.396203i \(0.870328\pi\)
\(740\) 5635.57 + 12340.2i 0.279956 + 0.613019i
\(741\) 2593.78 6530.41i 0.128590 0.323752i
\(742\) 12091.9 + 41181.4i 0.598260 + 2.03749i
\(743\) 7098.03 24173.7i 0.350473 1.19360i −0.576066 0.817403i \(-0.695413\pi\)
0.926539 0.376199i \(-0.122769\pi\)
\(744\) −8102.42 + 2828.99i −0.399260 + 0.139403i
\(745\) −10041.3 + 15624.6i −0.493805 + 0.768375i
\(746\) 1105.02 + 957.504i 0.0542327 + 0.0469929i
\(747\) 239.415 + 2370.81i 0.0117266 + 0.116122i
\(748\) −19395.7 66055.7i −0.948097 3.22892i
\(749\) −14222.8 + 9140.41i −0.693843 + 0.445906i
\(750\) 1740.61 + 34560.4i 0.0847440 + 1.68262i
\(751\) 3930.19 + 27335.1i 0.190965 + 1.32819i 0.829461 + 0.558565i \(0.188648\pi\)
−0.638496 + 0.769625i \(0.720443\pi\)
\(752\) −2670.81 + 2314.27i −0.129514 + 0.112224i
\(753\) 5961.87 24870.4i 0.288529 1.20362i
\(754\) −153.272 + 1066.03i −0.00740295 + 0.0514887i
\(755\) −3812.79 26518.5i −0.183790 1.27829i
\(756\) −17613.1 + 15515.4i −0.847329 + 0.746415i
\(757\) 26029.5 11887.3i 1.24974 0.570739i 0.322989 0.946403i \(-0.395312\pi\)
0.926756 + 0.375663i \(0.122585\pi\)
\(758\) 14884.5 50692.1i 0.713233 2.42905i
\(759\) 18391.1 13171.8i 0.879519 0.629917i
\(760\) 3814.42 + 8352.42i 0.182057 + 0.398650i
\(761\) −28514.0 4099.70i −1.35826 0.195288i −0.575595 0.817735i \(-0.695229\pi\)
−0.782662 + 0.622447i \(0.786139\pi\)
\(762\) 2602.39 + 51671.4i 0.123720 + 2.45651i
\(763\) 135.818 944.636i 0.00644423 0.0448206i
\(764\) −16960.7 4980.12i −0.803165 0.235830i
\(765\) −24425.4 1030.30i −1.15438 0.0486934i
\(766\) 4958.08 0.233868
\(767\) −8221.94 −0.387063
\(768\) 5712.76 2964.84i 0.268413 0.139303i
\(769\) 3947.75 + 1802.88i 0.185123 + 0.0845429i 0.505820 0.862639i \(-0.331190\pi\)
−0.320697 + 0.947182i \(0.603917\pi\)
\(770\) 23297.4 20187.3i 1.09036 0.944804i
\(771\) 339.290 + 1734.98i 0.0158486 + 0.0810425i
\(772\) −16547.7 + 36234.5i −0.771459 + 1.68926i
\(773\) −21499.3 + 33453.5i −1.00036 + 1.55659i −0.180854 + 0.983510i \(0.557886\pi\)
−0.819503 + 0.573075i \(0.805750\pi\)
\(774\) 19780.6 11564.3i 0.918603 0.537044i
\(775\) 5769.78i 0.267428i
\(776\) −4085.03 + 6356.43i −0.188974 + 0.294049i
\(777\) 7347.56 + 7664.02i 0.339243 + 0.353855i
\(778\) 16021.0 + 2303.47i 0.738277 + 0.106148i
\(779\) 16274.1 10458.8i 0.748500 0.481032i
\(780\) −5893.51 + 7536.33i −0.270540 + 0.345954i
\(781\) 28370.2 12956.2i 1.29983 0.593611i
\(782\) 15100.4 33065.3i 0.690524 1.51204i
\(783\) −494.822 + 1737.57i −0.0225843 + 0.0793048i
\(784\) −1320.75 2892.03i −0.0601652 0.131743i
\(785\) −1959.58 2261.47i −0.0890959 0.102822i
\(786\) 22438.5 56493.8i 1.01826 2.56370i
\(787\) −31348.2 4507.19i −1.41988 0.204148i −0.610770 0.791808i \(-0.709140\pi\)
−0.809108 + 0.587661i \(0.800049\pi\)
\(788\) 37432.1 10991.0i 1.69221 0.496878i
\(789\) −2618.86 13391.7i −0.118167 0.604254i
\(790\) −25268.0 + 3632.99i −1.13797 + 0.163615i
\(791\) 13721.3 + 21350.8i 0.616782 + 0.959732i
\(792\) −20593.9 10475.4i −0.923956 0.469984i
\(793\) 12079.2 3546.76i 0.540913 0.158826i
\(794\) 15092.3 33047.6i 0.674567 1.47710i
\(795\) 9673.56 + 27705.7i 0.431554 + 1.23600i
\(796\) 24563.2 + 15785.8i 1.09374 + 0.702907i
\(797\) 6351.20 + 5503.34i 0.282272 + 0.244590i 0.784476 0.620159i \(-0.212932\pi\)
−0.502204 + 0.864749i \(0.667477\pi\)
\(798\) 16528.5 + 17240.4i 0.733212 + 0.764792i
\(799\) 14711.4 4319.67i 0.651381 0.191263i
\(800\) −1735.48 12070.5i −0.0766982 0.533447i
\(801\) −16502.2 11616.3i −0.727935 0.512412i
\(802\) 10170.4 11737.3i 0.447794 0.516781i
\(803\) 47136.9 2.07151
\(804\) 14601.0 29157.3i 0.640470 1.27898i
\(805\) 9579.53 0.419421
\(806\) −5958.27 + 6876.21i −0.260386 + 0.300502i
\(807\) 1458.89 15730.5i 0.0636372 0.686171i
\(808\) −2549.17 17729.9i −0.110990 0.771950i
\(809\) 13927.2 4089.40i 0.605259 0.177720i 0.0352773 0.999378i \(-0.488769\pi\)
0.569981 + 0.821658i \(0.306950\pi\)
\(810\) −19529.4 + 19031.4i −0.847151 + 0.825551i
\(811\) 24688.5 + 21392.7i 1.06896 + 0.926263i 0.997464 0.0711771i \(-0.0226755\pi\)
0.0715013 + 0.997441i \(0.477221\pi\)
\(812\) −1812.45 1164.79i −0.0783307 0.0503401i
\(813\) −29798.6 + 10404.3i −1.28547 + 0.448825i
\(814\) −14429.2 + 31595.5i −0.621306 + 1.36047i
\(815\) −18649.1 + 5475.86i −0.801531 + 0.235351i
\(816\) 13626.9 686.307i 0.584604 0.0294431i
\(817\) −7418.42 11543.3i −0.317672 0.494307i
\(818\) −52511.8 + 7550.05i −2.24454 + 0.322716i
\(819\) −2410.35 + 7088.86i −0.102838 + 0.302448i
\(820\) −25272.3 + 7420.62i −1.07628 + 0.316024i
\(821\) 18915.7 + 2719.67i 0.804095 + 0.115611i 0.532094 0.846685i \(-0.321405\pi\)
0.272001 + 0.962297i \(0.412314\pi\)
\(822\) 7085.73 + 2814.35i 0.300661 + 0.119418i
\(823\) −11820.4 13641.5i −0.500649 0.577780i 0.448031 0.894018i \(-0.352126\pi\)
−0.948680 + 0.316238i \(0.897580\pi\)
\(824\) −170.074 372.409i −0.00719028 0.0157445i
\(825\) −11213.0 + 10750.0i −0.473196 + 0.453657i
\(826\) 11609.3 25420.9i 0.489031 1.07083i
\(827\) −6739.89 + 3078.00i −0.283396 + 0.129423i −0.552042 0.833816i \(-0.686151\pi\)
0.268646 + 0.963239i \(0.413424\pi\)
\(828\) −8989.39 22104.9i −0.377298 0.927776i
\(829\) 2617.45 1682.14i 0.109660 0.0704741i −0.484661 0.874702i \(-0.661057\pi\)
0.594321 + 0.804228i \(0.297421\pi\)
\(830\) −3267.63 469.814i −0.136652 0.0196476i
\(831\) −4059.34 + 3891.72i −0.169455 + 0.162458i
\(832\) 8378.41 13037.1i 0.349122 0.543244i
\(833\) 13793.9i 0.573744i
\(834\) −20264.7 11626.4i −0.841378 0.482721i
\(835\) 11690.2 18190.3i 0.484499 0.753895i
\(836\) −19103.4 + 41830.6i −0.790316 + 1.73055i
\(837\) −11452.9 + 10088.9i −0.472962 + 0.416634i
\(838\) −20245.7 + 17543.0i −0.834577 + 0.723165i
\(839\) 3370.27 + 1539.15i 0.138683 + 0.0633343i 0.483548 0.875318i \(-0.339348\pi\)
−0.344865 + 0.938652i \(0.612075\pi\)
\(840\) −4507.09 8684.42i −0.185130 0.356715i
\(841\) 24223.2 0.993201
\(842\) 29162.0 1.19357
\(843\) −28518.2 + 14800.5i −1.16515 + 0.604694i
\(844\) 66919.5 + 19649.3i 2.72922 + 0.801372i
\(845\) 2218.07 15427.0i 0.0903007 0.628055i
\(846\) 7753.83 15243.5i 0.315109 0.619483i
\(847\) 26717.7 + 3841.43i 1.08386 + 0.155836i
\(848\) −6803.76 14898.1i −0.275521 0.603307i
\(849\) −21503.7 30024.4i −0.869262 1.21370i
\(850\) −7032.28 + 23949.7i −0.283771 + 0.966435i
\(851\) −9818.40 + 4483.91i −0.395500 + 0.180619i
\(852\) −6314.31 32288.6i −0.253902 1.29834i
\(853\) −703.960 4896.15i −0.0282569 0.196531i 0.970803 0.239877i \(-0.0771072\pi\)
−0.999060 + 0.0433463i \(0.986198\pi\)
\(854\) −6089.69 + 42354.7i −0.244010 + 1.69713i
\(855\) 11879.8 + 11204.5i 0.475182 + 0.448172i
\(856\) −13267.5 + 11496.3i −0.529759 + 0.459038i
\(857\) 970.596 + 6750.64i 0.0386872 + 0.269075i 0.999979 0.00645647i \(-0.00205517\pi\)
−0.961292 + 0.275532i \(0.911146\pi\)
\(858\) −24464.4 + 1232.13i −0.973429 + 0.0490259i
\(859\) −28072.3 + 18041.0i −1.11504 + 0.716590i −0.962385 0.271690i \(-0.912417\pi\)
−0.152651 + 0.988280i \(0.548781\pi\)
\(860\) 5263.47 + 17925.7i 0.208701 + 0.710770i
\(861\) −16758.8 + 12002.8i −0.663342 + 0.475090i
\(862\) −20388.4 17666.6i −0.805604 0.698060i
\(863\) 17501.5 27232.9i 0.690334 1.07418i −0.302321 0.953206i \(-0.597762\pi\)
0.992656 0.120975i \(-0.0386021\pi\)
\(864\) 20925.1 24551.1i 0.823942 0.966718i
\(865\) −4969.01 + 16922.9i −0.195320 + 0.665197i
\(866\) 16370.8 + 55753.7i 0.642380 + 2.18774i
\(867\) −31289.9 12427.9i −1.22568 0.486820i
\(868\) −7561.03 16556.3i −0.295666 0.647418i
\(869\) −29071.9 25190.9i −1.13486 0.983364i
\(870\) −2171.01 1245.57i −0.0846024 0.0485387i
\(871\) −588.591 10385.2i −0.0228974 0.404007i
\(872\) 990.973i 0.0384846i
\(873\) −2471.25 + 13208.6i −0.0958066 + 0.512076i
\(874\) −22086.8 + 10086.7i −0.854801 + 0.390374i
\(875\) −21857.0 + 3142.57i −0.844460 + 0.121415i
\(876\) 11591.2 48353.7i 0.447068 1.86498i
\(877\) 24388.8 + 7161.19i 0.939053 + 0.275731i 0.715222 0.698897i \(-0.246325\pi\)
0.223831 + 0.974628i \(0.428144\pi\)
\(878\) −45156.6 + 52113.5i −1.73572 + 2.00313i
\(879\) 5401.09 + 10407.0i 0.207252 + 0.399339i
\(880\) −7703.46 + 8890.27i −0.295095 + 0.340558i
\(881\) −11399.2 5205.82i −0.435922 0.199079i 0.185352 0.982672i \(-0.440657\pi\)
−0.621274 + 0.783593i \(0.713385\pi\)
\(882\) 11193.0 + 10556.8i 0.427310 + 0.403021i
\(883\) −14106.6 21950.2i −0.537626 0.836562i 0.461083 0.887357i \(-0.347461\pi\)
−0.998709 + 0.0507947i \(0.983825\pi\)
\(884\) −19488.4 + 12524.4i −0.741475 + 0.476517i
\(885\) 7053.39 17758.4i 0.267906 0.674513i
\(886\) 10445.6 + 12054.9i 0.396082 + 0.457103i
\(887\) −11304.6 38500.0i −0.427928 1.45739i −0.838169 0.545411i \(-0.816374\pi\)
0.410241 0.911977i \(-0.365444\pi\)
\(888\) 8684.41 + 6791.33i 0.328187 + 0.256646i
\(889\) −32678.5 + 4698.46i −1.23285 + 0.177257i
\(890\) 21129.5 18308.8i 0.795802 0.689566i
\(891\) −40945.2 3460.40i −1.53952 0.130110i
\(892\) 60453.3 + 17750.7i 2.26920 + 0.666297i
\(893\) −9316.21 4254.57i −0.349110 0.159433i
\(894\) −4632.40 + 49949.0i −0.173300 + 1.86862i
\(895\) −446.842 + 3107.85i −0.0166886 + 0.116072i
\(896\) 13938.1 + 21688.1i 0.519686 + 0.808647i
\(897\) −5996.24 4689.14i −0.223198 0.174544i
\(898\) −20751.0 + 70671.4i −0.771125 + 2.62621i
\(899\) −1178.54 757.403i −0.0437226 0.0280988i
\(900\) 8270.17 + 14146.0i 0.306303 + 0.523924i
\(901\) 71058.3i 2.62741i
\(902\) −56732.8 36460.0i −2.09423 1.34588i
\(903\) 8513.59 + 11887.1i 0.313748 + 0.438069i
\(904\) 17258.0 + 19916.8i 0.634948 + 0.732769i
\(905\) −9265.97 10693.5i −0.340344 0.392778i
\(906\) −42133.2 58828.3i −1.54501 2.15722i
\(907\) 27784.0 + 17855.7i 1.01715 + 0.653681i 0.939233 0.343279i \(-0.111538\pi\)
0.0779136 + 0.996960i \(0.475174\pi\)
\(908\) 27006.4i 0.987047i
\(909\) −16077.9 27500.9i −0.586656 1.00346i
\(910\) −8726.41 5608.13i −0.317888 0.204294i
\(911\) −9405.74 + 32033.0i −0.342070 + 1.16498i 0.591415 + 0.806367i \(0.298570\pi\)
−0.933485 + 0.358617i \(0.883249\pi\)
\(912\) −7179.36 5614.35i −0.260671 0.203848i
\(913\) −2689.46 4184.89i −0.0974899 0.151697i
\(914\) −2931.07 + 20386.0i −0.106073 + 0.737756i
\(915\) −2701.80 + 29132.3i −0.0976161 + 1.05255i
\(916\) 396.273 + 180.972i 0.0142939 + 0.00652782i
\(917\) 37218.2 + 10928.3i 1.34030 + 0.393547i
\(918\) −59836.1 + 27918.9i −2.15129 + 1.00377i
\(919\) 4737.90 4105.42i 0.170064 0.147362i −0.565670 0.824631i \(-0.691383\pi\)
0.735735 + 0.677270i \(0.236837\pi\)
\(920\) 9845.89 1415.63i 0.352836 0.0507302i
\(921\) 23184.2 + 18130.4i 0.829474 + 0.648660i
\(922\) 3230.38 + 11001.6i 0.115387 + 0.392972i
\(923\) −6872.67 7931.48i −0.245088 0.282847i
\(924\) 18088.3 45541.1i 0.644004 1.62142i
\(925\) 6235.26 4007.16i 0.221637 0.142437i
\(926\) −829.021 1289.98i −0.0294204 0.0457791i
\(927\) −529.684 499.576i −0.0187671 0.0177004i
\(928\) 2693.36 + 1230.02i 0.0952735 + 0.0435100i
\(929\) 3197.09 3689.64i 0.112910 0.130305i −0.696481 0.717575i \(-0.745252\pi\)
0.809391 + 0.587270i \(0.199797\pi\)
\(930\) −9740.38 18768.1i −0.343440 0.661753i
\(931\) 6033.85 6963.43i 0.212408 0.245131i
\(932\) 1172.98 + 344.417i 0.0412255 + 0.0121049i
\(933\) −2491.28 + 10392.6i −0.0874178 + 0.364670i
\(934\) −55051.9 + 7915.28i −1.92865 + 0.277297i
\(935\) 46424.9 21201.5i 1.62380 0.741566i
\(936\) −1429.80 + 7642.16i −0.0499301 + 0.266871i
\(937\) 10980.2i 0.382826i −0.981510 0.191413i \(-0.938693\pi\)
0.981510 0.191413i \(-0.0613071\pi\)
\(938\) 32940.5 + 12844.0i 1.14664 + 0.447093i
\(939\) −3219.05 1846.85i −0.111874 0.0641851i
\(940\) 10538.6 + 9131.76i 0.365672 + 0.316857i
\(941\) −18606.9 40743.4i −0.644599 1.41148i −0.896203 0.443645i \(-0.853685\pi\)
0.251603 0.967830i \(-0.419042\pi\)
\(942\) −7511.23 2983.35i −0.259797 0.103188i
\(943\) −5904.18 20107.8i −0.203888 0.694379i
\(944\) −3004.48 + 10232.3i −0.103588 + 0.352790i
\(945\) −13243.3 11287.4i −0.455879 0.388550i
\(946\) −25861.1 + 40240.7i −0.888814 + 1.38302i
\(947\) −33312.4 28865.3i −1.14309 0.990494i −1.00000 0.000783927i \(-0.999750\pi\)
−0.143091 0.989710i \(-0.545704\pi\)
\(948\) −32990.2 + 23627.8i −1.13024 + 0.809488i
\(949\) −4468.66 15218.9i −0.152855 0.520575i
\(950\) 14026.4 9014.21i 0.479027 0.307852i
\(951\) 16595.2 835.804i 0.565864 0.0284993i
\(952\) −3371.69 23450.6i −0.114787 0.798361i
\(953\) 31897.3 27639.1i 1.08421 0.939475i 0.0858281 0.996310i \(-0.472646\pi\)
0.998384 + 0.0568352i \(0.0181010\pi\)
\(954\) 57660.0 + 54382.6i 1.95683 + 1.84560i
\(955\) 1864.96 12971.1i 0.0631924 0.439513i
\(956\) −2498.01 17374.1i −0.0845099 0.587779i
\(957\) −723.868 3701.54i −0.0244507 0.125030i
\(958\) 25300.7 11554.4i 0.853265 0.389673i
\(959\) −1370.68 + 4668.09i −0.0461537 + 0.157185i
\(960\) 20970.9 + 29280.6i 0.705035 + 0.984402i
\(961\) 7459.08 + 16333.1i 0.250380 + 0.548257i
\(962\) 11569.0 + 1663.37i 0.387734 + 0.0557478i
\(963\) −14155.2 + 27828.1i −0.473670 + 0.931203i
\(964\) 486.374 3382.81i 0.0162501 0.113022i
\(965\) −28334.5 8319.75i −0.945201 0.277536i
\(966\) 22964.7 11918.3i 0.764882 0.396963i
\(967\) −27452.2 −0.912931 −0.456465 0.889741i \(-0.650885\pi\)
−0.456465 + 0.889741i \(0.650885\pi\)
\(968\) 28028.3 0.930643
\(969\) 18214.6 + 35096.6i 0.603858 + 1.16353i
\(970\) −16934.4 7733.66i −0.560546 0.255993i
\(971\) −3117.58 + 2701.40i −0.103036 + 0.0892811i −0.704855 0.709351i \(-0.748988\pi\)
0.601819 + 0.798632i \(0.294443\pi\)
\(972\) −13618.4 + 41151.3i −0.449393 + 1.35795i
\(973\) 6193.22 13561.3i 0.204055 0.446818i
\(974\) 33506.9 52137.8i 1.10229 1.71520i
\(975\) 4533.82 + 2601.17i 0.148921 + 0.0854402i
\(976\) 16328.7i 0.535523i
\(977\) 14237.5 22153.9i 0.466220 0.725453i −0.525927 0.850530i \(-0.676281\pi\)
0.992147 + 0.125077i \(0.0399178\pi\)
\(978\) −37894.0 + 36329.2i −1.23897 + 1.18781i
\(979\) 41701.3 + 5995.75i 1.36137 + 0.195735i
\(980\) −10553.7 + 6782.45i −0.344006 + 0.221079i
\(981\) −663.912 1632.56i −0.0216076 0.0531332i
\(982\) −86848.4 + 39662.3i −2.82224 + 1.28888i
\(983\) 4984.14 10913.8i 0.161719 0.354115i −0.811374 0.584527i \(-0.801280\pi\)
0.973093 + 0.230412i \(0.0740074\pi\)
\(984\) −15451.0 + 14813.0i −0.500571 + 0.479901i
\(985\) 12014.4 + 26307.8i 0.388639 + 0.851001i
\(986\) −3968.87 4580.32i −0.128189 0.147938i
\(987\) 10142.6 + 4028.49i 0.327094 + 0.129917i
\(988\) 15316.7 + 2202.21i 0.493207 + 0.0709125i
\(989\) −14262.5 + 4187.85i −0.458566 + 0.134647i
\(990\) 18326.1 53897.4i 0.588326 1.73027i
\(991\) −26875.5 + 3864.12i −0.861483 + 0.123863i −0.558874 0.829252i \(-0.688767\pi\)
−0.302609 + 0.953115i \(0.597857\pi\)
\(992\) 13523.7 + 21043.4i 0.432842 + 0.673515i
\(993\) 9811.83 494.165i 0.313564 0.0157924i
\(994\) 34226.9 10049.9i 1.09217 0.320689i
\(995\) −8992.02 + 19689.8i −0.286499 + 0.627345i
\(996\) −4954.28 + 1729.81i −0.157613 + 0.0550311i
\(997\) 23710.4 + 15237.7i 0.753174 + 0.484036i 0.860033 0.510239i \(-0.170443\pi\)
−0.106859 + 0.994274i \(0.534079\pi\)
\(998\) 62830.6 + 54443.0i 1.99285 + 1.72682i
\(999\) 18856.9 + 5370.03i 0.597203 + 0.170070i
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.j.b.5.10 640
3.2 odd 2 inner 201.4.j.b.5.55 yes 640
67.27 odd 22 inner 201.4.j.b.161.55 yes 640
201.161 even 22 inner 201.4.j.b.161.10 yes 640
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
201.4.j.b.5.10 640 1.1 even 1 trivial
201.4.j.b.5.55 yes 640 3.2 odd 2 inner
201.4.j.b.161.10 yes 640 201.161 even 22 inner
201.4.j.b.161.55 yes 640 67.27 odd 22 inner