Properties

Label 197.4.g.a.16.4
Level $197$
Weight $4$
Character 197.16
Analytic conductor $11.623$
Analytic rank $0$
Dimension $2058$
Inner twists $2$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [197,4,Mod(16,197)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(197, base_ring=CyclotomicField(98))
 
chi = DirichletCharacter(H, H._module([2]))
 
N = Newforms(chi, 4, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("197.16");
 
S:= CuspForms(chi, 4);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 197 \)
Weight: \( k \) \(=\) \( 4 \)
Character orbit: \([\chi]\) \(=\) 197.g (of order \(49\), degree \(42\), 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: \(11.6233762711\)
Analytic rank: \(0\)
Dimension: \(2058\)
Relative dimension: \(49\) over \(\Q(\zeta_{49})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{49}]$

Embedding invariants

Embedding label 16.4
Character \(\chi\) \(=\) 197.16
Dual form 197.4.g.a.37.4

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-4.78000 - 0.306886i) q^{2} +(2.41641 - 3.46411i) q^{3} +(14.8199 + 1.91082i) q^{4} +(-12.6224 + 8.21628i) q^{5} +(-12.6135 + 15.8169i) q^{6} +(-32.4079 + 2.08066i) q^{7} +(-32.6408 - 6.35680i) q^{8} +(3.16387 + 8.59725i) q^{9} +O(q^{10})\) \(q+(-4.78000 - 0.306886i) q^{2} +(2.41641 - 3.46411i) q^{3} +(14.8199 + 1.91082i) q^{4} +(-12.6224 + 8.21628i) q^{5} +(-12.6135 + 15.8169i) q^{6} +(-32.4079 + 2.08066i) q^{7} +(-32.6408 - 6.35680i) q^{8} +(3.16387 + 8.59725i) q^{9} +(62.8567 - 35.4002i) q^{10} +(4.03530 - 13.5963i) q^{11} +(42.4303 - 46.7205i) q^{12} +(0.383489 - 11.9586i) q^{13} +155.548 q^{14} +(-2.03886 + 63.5793i) q^{15} +(38.4411 + 10.0804i) q^{16} +(46.9071 + 45.4270i) q^{17} +(-12.4849 - 42.0658i) q^{18} +(-67.6724 - 32.5893i) q^{19} +(-202.763 + 97.6456i) q^{20} +(-71.1032 + 117.292i) q^{21} +(-23.4613 + 63.7518i) q^{22} +(2.86384 + 17.7138i) q^{23} +(-100.894 + 97.7106i) q^{24} +(41.2201 - 93.1170i) q^{25} +(-5.50301 + 57.0444i) q^{26} +(147.735 + 38.7408i) q^{27} +(-484.259 - 31.0905i) q^{28} +(150.603 - 165.831i) q^{29} +(29.2574 - 303.284i) q^{30} +(55.8577 - 22.6143i) q^{31} +(71.8245 + 23.8474i) q^{32} +(-37.3480 - 46.8328i) q^{33} +(-210.275 - 231.537i) q^{34} +(391.971 - 292.535i) q^{35} +(30.4605 + 133.456i) q^{36} +(-281.563 + 73.8345i) q^{37} +(313.473 + 176.545i) q^{38} +(-40.4992 - 30.2253i) q^{39} +(464.235 - 187.948i) q^{40} +(263.267 + 254.960i) q^{41} +(375.869 - 538.836i) q^{42} +(121.971 - 410.960i) q^{43} +(85.7829 - 193.785i) q^{44} +(-110.573 - 82.5228i) q^{45} +(-8.25301 - 85.5511i) q^{46} +(-154.999 - 297.104i) q^{47} +(127.809 - 108.806i) q^{48} +(705.759 - 90.9976i) q^{49} +(-225.609 + 432.450i) q^{50} +(270.711 - 52.7209i) q^{51} +(28.5340 - 176.493i) q^{52} +(-58.6080 - 607.533i) q^{53} +(-694.287 - 230.519i) q^{54} +(60.7755 + 204.773i) q^{55} +(1071.05 + 138.096i) q^{56} +(-276.417 + 155.675i) q^{57} +(-770.776 + 746.455i) q^{58} +(282.802 + 159.271i) q^{59} +(-151.704 + 938.345i) q^{60} +(215.323 + 308.682i) q^{61} +(-273.940 + 90.9544i) q^{62} +(-120.422 - 272.036i) q^{63} +(-630.695 - 255.340i) q^{64} +(93.4146 + 154.097i) q^{65} +(164.151 + 235.323i) q^{66} +(-236.150 - 452.655i) q^{67} +(608.358 + 762.857i) q^{68} +(68.2828 + 32.8833i) q^{69} +(-1963.40 + 1278.03i) q^{70} +(140.087 + 380.663i) q^{71} +(-48.6202 - 300.733i) q^{72} +(801.649 - 210.217i) q^{73} +(1368.53 - 266.521i) q^{74} +(-222.962 - 367.800i) q^{75} +(-940.628 - 612.281i) q^{76} +(-102.486 + 449.022i) q^{77} +(184.310 + 156.906i) q^{78} +(-420.609 - 273.786i) q^{79} +(-568.043 + 188.603i) q^{80} +(302.851 - 257.821i) q^{81} +(-1180.17 - 1299.50i) q^{82} +(-670.421 + 322.858i) q^{83} +(-1277.87 + 1602.40i) q^{84} +(-965.323 - 187.997i) q^{85} +(-709.139 + 1926.96i) q^{86} +(-210.537 - 922.422i) q^{87} +(-218.144 + 418.142i) q^{88} +(1382.15 + 559.570i) q^{89} +(503.214 + 428.393i) q^{90} +(12.4537 + 388.351i) q^{91} +(8.59393 + 267.990i) q^{92} +(56.6369 - 248.142i) q^{93} +(649.718 + 1467.72i) q^{94} +(1121.95 - 144.660i) q^{95} +(256.167 - 191.183i) q^{96} +(-300.787 + 496.180i) q^{97} +(-3401.46 + 218.381i) q^{98} +(129.658 - 8.32429i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 2058 q - 42 q^{2} - 42 q^{3} - 84 q^{4} - 42 q^{5} - 119 q^{6} - 84 q^{7} - 98 q^{8} - 42 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 2058 q - 42 q^{2} - 42 q^{3} - 84 q^{4} - 42 q^{5} - 119 q^{6} - 84 q^{7} - 98 q^{8} - 42 q^{9} + 168 q^{10} - 140 q^{11} + 14 q^{12} - 42 q^{13} - 812 q^{14} + 1638 q^{15} + 672 q^{16} - 42 q^{17} + 147 q^{18} - 567 q^{19} - 35 q^{20} - 42 q^{21} + 1302 q^{22} - 42 q^{23} - 434 q^{24} - 42 q^{25} + 364 q^{26} - 1596 q^{27} - 147 q^{28} + 4676 q^{29} - 847 q^{30} + 882 q^{31} + 910 q^{32} - 287 q^{33} - 882 q^{34} - 42 q^{35} - 17787 q^{36} - 1400 q^{37} + 14 q^{38} + 168 q^{39} + 3962 q^{40} - 392 q^{41} + 1764 q^{42} + 294 q^{43} - 12978 q^{44} + 2814 q^{45} + 840 q^{46} + 28 q^{47} + 3654 q^{48} + 1554 q^{49} - 4998 q^{50} - 98 q^{51} - 3703 q^{52} - 42 q^{53} - 1365 q^{54} + 4046 q^{55} - 3073 q^{56} + 14567 q^{57} - 10402 q^{58} + 4004 q^{59} - 4536 q^{60} - 1050 q^{61} + 210 q^{62} + 2254 q^{63} + 3822 q^{64} - 1106 q^{65} - 875 q^{66} - 3612 q^{67} + 819 q^{68} + 4333 q^{69} - 5292 q^{70} + 11424 q^{71} - 1876 q^{72} - 714 q^{73} + 1288 q^{74} - 1316 q^{75} + 8715 q^{76} + 6629 q^{77} + 13986 q^{78} - 1512 q^{79} + 406 q^{80} + 1078 q^{81} - 42 q^{82} - 5999 q^{83} - 7595 q^{84} + 30492 q^{85} + 7749 q^{86} - 35 q^{87} + 8897 q^{88} - 196 q^{89} - 14910 q^{90} - 8232 q^{91} - 7938 q^{92} - 2639 q^{93} - 11116 q^{94} + 3703 q^{95} + 14497 q^{96} - 2674 q^{97} - 10024 q^{98} + 6237 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/197\mathbb{Z}\right)^\times\).

\(n\) \(2\)
\(\chi(n)\) \(e\left(\frac{1}{49}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −4.78000 0.306886i −1.68999 0.108501i −0.810907 0.585175i \(-0.801026\pi\)
−0.879080 + 0.476675i \(0.841842\pi\)
\(3\) 2.41641 3.46411i 0.465038 0.666667i −0.516861 0.856069i \(-0.672900\pi\)
0.981900 + 0.189402i \(0.0606548\pi\)
\(4\) 14.8199 + 1.91082i 1.85249 + 0.238852i
\(5\) −12.6224 + 8.21628i −1.12898 + 0.734887i −0.967721 0.252025i \(-0.918903\pi\)
−0.161262 + 0.986912i \(0.551557\pi\)
\(6\) −12.6135 + 15.8169i −0.858242 + 1.07620i
\(7\) −32.4079 + 2.08066i −1.74986 + 0.112345i −0.905748 0.423817i \(-0.860690\pi\)
−0.844115 + 0.536162i \(0.819873\pi\)
\(8\) −32.6408 6.35680i −1.44253 0.280933i
\(9\) 3.16387 + 8.59725i 0.117180 + 0.318417i
\(10\) 62.8567 35.4002i 1.98770 1.11945i
\(11\) 4.03530 13.5963i 0.110608 0.372675i −0.885080 0.465439i \(-0.845897\pi\)
0.995688 + 0.0927635i \(0.0295700\pi\)
\(12\) 42.4303 46.7205i 1.02072 1.12392i
\(13\) 0.383489 11.9586i 0.00818159 0.255132i −0.987221 0.159355i \(-0.949058\pi\)
0.995403 0.0957765i \(-0.0305334\pi\)
\(14\) 155.548 2.96943
\(15\) −2.03886 + 63.5793i −0.0350955 + 1.09441i
\(16\) 38.4411 + 10.0804i 0.600642 + 0.157507i
\(17\) 46.9071 + 45.4270i 0.669215 + 0.648098i 0.950210 0.311611i \(-0.100869\pi\)
−0.280995 + 0.959709i \(0.590664\pi\)
\(18\) −12.4849 42.0658i −0.163485 0.550834i
\(19\) −67.6724 32.5893i −0.817111 0.393500i −0.0218454 0.999761i \(-0.506954\pi\)
−0.795265 + 0.606262i \(0.792668\pi\)
\(20\) −202.763 + 97.6456i −2.26696 + 1.09171i
\(21\) −71.1032 + 117.292i −0.738856 + 1.21882i
\(22\) −23.4613 + 63.7518i −0.227362 + 0.617815i
\(23\) 2.86384 + 17.7138i 0.0259631 + 0.160591i 0.996892 0.0787756i \(-0.0251011\pi\)
−0.970929 + 0.239367i \(0.923060\pi\)
\(24\) −100.894 + 97.7106i −0.858123 + 0.831046i
\(25\) 41.2201 93.1170i 0.329761 0.744936i
\(26\) −5.50301 + 57.0444i −0.0415088 + 0.430282i
\(27\) 147.735 + 38.7408i 1.05303 + 0.276136i
\(28\) −484.259 31.0905i −3.26844 0.209841i
\(29\) 150.603 165.831i 0.964357 1.06186i −0.0336924 0.999432i \(-0.510727\pi\)
0.998049 0.0624318i \(-0.0198856\pi\)
\(30\) 29.2574 303.284i 0.178055 1.84572i
\(31\) 55.8577 22.6143i 0.323624 0.131021i −0.207693 0.978194i \(-0.566595\pi\)
0.531317 + 0.847173i \(0.321697\pi\)
\(32\) 71.8245 + 23.8474i 0.396778 + 0.131739i
\(33\) −37.3480 46.8328i −0.197013 0.247047i
\(34\) −210.275 231.537i −1.06064 1.16789i
\(35\) 391.971 292.535i 1.89300 1.41279i
\(36\) 30.4605 + 133.456i 0.141021 + 0.617853i
\(37\) −281.563 + 73.8345i −1.25104 + 0.328062i −0.819002 0.573791i \(-0.805472\pi\)
−0.432042 + 0.901853i \(0.642207\pi\)
\(38\) 313.473 + 176.545i 1.33821 + 0.753666i
\(39\) −40.4992 30.2253i −0.166283 0.124101i
\(40\) 464.235 187.948i 1.83505 0.742930i
\(41\) 263.267 + 254.960i 1.00281 + 0.971171i 0.999585 0.0288235i \(-0.00917607\pi\)
0.00322959 + 0.999995i \(0.498972\pi\)
\(42\) 375.869 538.836i 1.38090 1.97962i
\(43\) 121.971 410.960i 0.432567 1.45746i −0.406609 0.913602i \(-0.633289\pi\)
0.839176 0.543860i \(-0.183038\pi\)
\(44\) 85.7829 193.785i 0.293915 0.663959i
\(45\) −110.573 82.5228i −0.366295 0.273373i
\(46\) −8.25301 85.5511i −0.0264530 0.274213i
\(47\) −154.999 297.104i −0.481040 0.922065i −0.997823 0.0659479i \(-0.978993\pi\)
0.516783 0.856117i \(-0.327130\pi\)
\(48\) 127.809 108.806i 0.384326 0.327182i
\(49\) 705.759 90.9976i 2.05761 0.265299i
\(50\) −225.609 + 432.450i −0.638118 + 1.22315i
\(51\) 270.711 52.7209i 0.743277 0.144753i
\(52\) 28.5340 176.493i 0.0760952 0.470676i
\(53\) −58.6080 607.533i −0.151895 1.57455i −0.685028 0.728517i \(-0.740210\pi\)
0.533133 0.846031i \(-0.321015\pi\)
\(54\) −694.287 230.519i −1.74964 0.580920i
\(55\) 60.7755 + 204.773i 0.148999 + 0.502028i
\(56\) 1071.05 + 138.096i 2.55580 + 0.329534i
\(57\) −276.417 + 155.675i −0.642321 + 0.361749i
\(58\) −770.776 + 746.455i −1.74496 + 1.68990i
\(59\) 282.802 + 159.271i 0.624029 + 0.351446i 0.770190 0.637814i \(-0.220161\pi\)
−0.146162 + 0.989261i \(0.546692\pi\)
\(60\) −151.704 + 938.345i −0.326416 + 2.01900i
\(61\) 215.323 + 308.682i 0.451957 + 0.647914i 0.979460 0.201639i \(-0.0646269\pi\)
−0.527503 + 0.849553i \(0.676872\pi\)
\(62\) −273.940 + 90.9544i −0.561136 + 0.186310i
\(63\) −120.422 272.036i −0.240822 0.544021i
\(64\) −630.695 255.340i −1.23183 0.498711i
\(65\) 93.4146 + 154.097i 0.178256 + 0.294052i
\(66\) 164.151 + 235.323i 0.306145 + 0.438882i
\(67\) −236.150 452.655i −0.430602 0.825383i −0.999994 0.00331725i \(-0.998944\pi\)
0.569393 0.822066i \(-0.307178\pi\)
\(68\) 608.358 + 762.857i 1.08492 + 1.36044i
\(69\) 68.2828 + 32.8833i 0.119135 + 0.0573722i
\(70\) −1963.40 + 1278.03i −3.35244 + 2.18220i
\(71\) 140.087 + 380.663i 0.234159 + 0.636287i 0.999977 0.00677099i \(-0.00215529\pi\)
−0.765818 + 0.643058i \(0.777665\pi\)
\(72\) −48.6202 300.733i −0.0795826 0.492247i
\(73\) 801.649 210.217i 1.28529 0.337042i 0.453062 0.891479i \(-0.350332\pi\)
0.832226 + 0.554437i \(0.187066\pi\)
\(74\) 1368.53 266.521i 2.14984 0.418682i
\(75\) −222.962 367.800i −0.343273 0.566265i
\(76\) −940.628 612.281i −1.41970 0.924124i
\(77\) −102.486 + 449.022i −0.151681 + 0.664557i
\(78\) 184.310 + 156.906i 0.267552 + 0.227770i
\(79\) −420.609 273.786i −0.599015 0.389916i 0.210002 0.977701i \(-0.432653\pi\)
−0.809017 + 0.587785i \(0.800000\pi\)
\(80\) −568.043 + 188.603i −0.793865 + 0.263581i
\(81\) 302.851 257.821i 0.415434 0.353664i
\(82\) −1180.17 1299.50i −1.58937 1.75007i
\(83\) −670.421 + 322.858i −0.886605 + 0.426967i −0.821033 0.570881i \(-0.806602\pi\)
−0.0655727 + 0.997848i \(0.520887\pi\)
\(84\) −1277.87 + 1602.40i −1.65984 + 2.08138i
\(85\) −965.323 187.997i −1.23181 0.239895i
\(86\) −709.139 + 1926.96i −0.889168 + 2.41616i
\(87\) −210.537 922.422i −0.259447 1.13671i
\(88\) −218.144 + 418.142i −0.264253 + 0.506523i
\(89\) 1382.15 + 559.570i 1.64615 + 0.666453i 0.995660 0.0930613i \(-0.0296653\pi\)
0.650491 + 0.759514i \(0.274563\pi\)
\(90\) 503.214 + 428.393i 0.589372 + 0.501739i
\(91\) 12.4537 + 388.351i 0.0143461 + 0.447365i
\(92\) 8.59393 + 267.990i 0.00973890 + 0.303695i
\(93\) 56.6369 248.142i 0.0631502 0.276679i
\(94\) 649.718 + 1467.72i 0.712907 + 1.61047i
\(95\) 1121.95 144.660i 1.21168 0.156229i
\(96\) 256.167 191.183i 0.272343 0.203255i
\(97\) −300.787 + 496.180i −0.314848 + 0.519375i −0.972183 0.234224i \(-0.924745\pi\)
0.657334 + 0.753599i \(0.271684\pi\)
\(98\) −3401.46 + 218.381i −3.50611 + 0.225100i
\(99\) 129.658 8.32429i 0.131627 0.00845074i
\(100\) 788.810 1301.22i 0.788810 1.30122i
\(101\) 936.840 699.182i 0.922961 0.688823i −0.0275154 0.999621i \(-0.508760\pi\)
0.950476 + 0.310798i \(0.100596\pi\)
\(102\) −1310.18 + 168.929i −1.27183 + 0.163985i
\(103\) 122.147 + 275.931i 0.116849 + 0.263964i 0.963262 0.268563i \(-0.0865486\pi\)
−0.846413 + 0.532527i \(0.821243\pi\)
\(104\) −88.5357 + 387.900i −0.0834773 + 0.365738i
\(105\) −66.2113 2064.71i −0.0615387 1.91900i
\(106\) 93.7027 + 2922.00i 0.0858605 + 2.67745i
\(107\) −89.1592 75.9024i −0.0805547 0.0685772i 0.607044 0.794669i \(-0.292355\pi\)
−0.687598 + 0.726091i \(0.741335\pi\)
\(108\) 2115.40 + 856.432i 1.88477 + 0.763057i
\(109\) 161.664 309.880i 0.142061 0.272304i −0.805052 0.593204i \(-0.797863\pi\)
0.947113 + 0.320900i \(0.103985\pi\)
\(110\) −227.665 997.466i −0.197337 0.864588i
\(111\) −424.601 + 1153.78i −0.363075 + 0.986592i
\(112\) −1266.77 246.703i −1.06874 0.208136i
\(113\) −1107.36 + 1388.59i −0.921876 + 1.15600i 0.0655400 + 0.997850i \(0.479123\pi\)
−0.987416 + 0.158146i \(0.949448\pi\)
\(114\) 1369.05 659.299i 1.12476 0.541658i
\(115\) −181.690 200.061i −0.147328 0.162224i
\(116\) 2548.81 2169.83i 2.04009 1.73676i
\(117\) 104.024 34.5384i 0.0821970 0.0272913i
\(118\) −1302.92 848.105i −1.01647 0.661647i
\(119\) −1614.68 1374.60i −1.24384 1.05890i
\(120\) 470.711 2062.32i 0.358082 1.56886i
\(121\) 946.921 + 616.377i 0.711435 + 0.463093i
\(122\) −934.517 1541.58i −0.693501 1.14400i
\(123\) 1519.37 295.897i 1.11380 0.216912i
\(124\) 871.019 228.408i 0.630805 0.165417i
\(125\) −55.6881 344.451i −0.0398472 0.246469i
\(126\) 492.134 + 1337.29i 0.347959 + 0.945517i
\(127\) 1019.98 663.931i 0.712663 0.463892i −0.137439 0.990510i \(-0.543887\pi\)
0.850102 + 0.526618i \(0.176540\pi\)
\(128\) 2390.88 + 1151.39i 1.65098 + 0.795072i
\(129\) −1128.88 1415.57i −0.770482 0.966154i
\(130\) −399.232 765.252i −0.269346 0.516285i
\(131\) 896.885 + 1285.75i 0.598177 + 0.857532i 0.998261 0.0589462i \(-0.0187741\pi\)
−0.400084 + 0.916479i \(0.631019\pi\)
\(132\) −464.005 765.425i −0.305958 0.504710i
\(133\) 2260.93 + 915.348i 1.47404 + 0.596772i
\(134\) 989.884 + 2236.17i 0.638156 + 1.44161i
\(135\) −2183.08 + 724.833i −1.39178 + 0.462102i
\(136\) −1242.32 1780.95i −0.783293 1.12291i
\(137\) −195.778 + 1210.96i −0.122091 + 0.755175i 0.851071 + 0.525051i \(0.175954\pi\)
−0.973161 + 0.230124i \(0.926087\pi\)
\(138\) −316.301 178.137i −0.195111 0.109884i
\(139\) −643.294 + 622.995i −0.392543 + 0.380157i −0.865483 0.500938i \(-0.832989\pi\)
0.472940 + 0.881094i \(0.343193\pi\)
\(140\) 6367.96 3586.37i 3.84422 2.16503i
\(141\) −1403.74 180.992i −0.838413 0.108101i
\(142\) −552.798 1862.56i −0.326689 1.10072i
\(143\) −161.045 53.4705i −0.0941764 0.0312687i
\(144\) 34.9584 + 362.381i 0.0202306 + 0.209711i
\(145\) −538.464 + 3330.59i −0.308393 + 1.90752i
\(146\) −3896.40 + 758.824i −2.20869 + 0.430142i
\(147\) 1390.18 2664.71i 0.780000 1.49511i
\(148\) −4313.83 + 556.206i −2.39591 + 0.308918i
\(149\) 1036.98 882.795i 0.570153 0.485379i −0.316007 0.948757i \(-0.602342\pi\)
0.886161 + 0.463378i \(0.153363\pi\)
\(150\) 952.888 + 1826.51i 0.518687 + 0.994225i
\(151\) 1.73243 + 17.9585i 0.000933666 + 0.00967842i 0.995834 0.0911827i \(-0.0290647\pi\)
−0.994901 + 0.100861i \(0.967840\pi\)
\(152\) 2001.72 + 1493.92i 1.06816 + 0.797191i
\(153\) −242.140 + 546.997i −0.127947 + 0.289033i
\(154\) 627.685 2114.88i 0.328443 1.10663i
\(155\) −519.254 + 744.389i −0.269080 + 0.385747i
\(156\) −542.440 525.324i −0.278397 0.269613i
\(157\) −857.457 + 347.146i −0.435876 + 0.176466i −0.582685 0.812698i \(-0.697998\pi\)
0.146809 + 0.989165i \(0.453100\pi\)
\(158\) 1926.49 + 1437.78i 0.970021 + 0.723946i
\(159\) −2246.18 1265.02i −1.12034 0.630962i
\(160\) −1102.54 + 289.119i −0.544769 + 0.142855i
\(161\) −129.667 568.110i −0.0634734 0.278095i
\(162\) −1526.75 + 1139.45i −0.740451 + 0.552613i
\(163\) −1778.04 1957.82i −0.854398 0.940788i 0.144414 0.989517i \(-0.453870\pi\)
−0.998812 + 0.0487298i \(0.984483\pi\)
\(164\) 3414.42 + 4281.54i 1.62574 + 2.03861i
\(165\) 856.213 + 284.282i 0.403976 + 0.134129i
\(166\) 3303.69 1337.52i 1.54468 0.625371i
\(167\) 342.099 3546.22i 0.158518 1.64320i −0.482660 0.875808i \(-0.660329\pi\)
0.641178 0.767392i \(-0.278446\pi\)
\(168\) 3066.47 3376.52i 1.40823 1.55062i
\(169\) 2049.63 + 131.590i 0.932920 + 0.0598955i
\(170\) 4556.55 + 1194.87i 2.05572 + 0.539072i
\(171\) 66.0719 684.904i 0.0295476 0.306292i
\(172\) 2592.87 5857.34i 1.14945 2.59662i
\(173\) −1385.83 + 1342.10i −0.609033 + 0.589815i −0.934599 0.355704i \(-0.884241\pi\)
0.325566 + 0.945519i \(0.394445\pi\)
\(174\) 723.288 + 4473.79i 0.315128 + 1.94918i
\(175\) −1142.11 + 3103.49i −0.493347 + 1.34058i
\(176\) 292.178 481.978i 0.125135 0.206423i
\(177\) 1235.10 594.792i 0.524495 0.252583i
\(178\) −6434.95 3098.91i −2.70966 1.30490i
\(179\) −157.964 532.233i −0.0659597 0.222240i 0.919226 0.393730i \(-0.128815\pi\)
−0.985186 + 0.171490i \(0.945142\pi\)
\(180\) −1481.00 1434.27i −0.613262 0.593911i
\(181\) 1095.61 + 287.302i 0.449922 + 0.117983i 0.471660 0.881780i \(-0.343655\pi\)
−0.0217385 + 0.999764i \(0.506920\pi\)
\(182\) 59.6511 1860.14i 0.0242947 0.757597i
\(183\) 1589.62 0.642120
\(184\) 19.1254 596.399i 0.00766272 0.238952i
\(185\) 2947.36 3245.37i 1.17132 1.28975i
\(186\) −346.876 + 1168.74i −0.136743 + 0.460732i
\(187\) 806.922 454.450i 0.315551 0.177715i
\(188\) −1729.36 4699.23i −0.670886 1.82301i
\(189\) −4868.40 948.121i −1.87367 0.364898i
\(190\) −5407.33 + 347.162i −2.06468 + 0.132557i
\(191\) −1466.76 + 1839.26i −0.555661 + 0.696776i −0.977749 0.209778i \(-0.932726\pi\)
0.422088 + 0.906555i \(0.361297\pi\)
\(192\) −2408.54 + 1567.79i −0.905320 + 0.589298i
\(193\) 3884.91 + 500.904i 1.44892 + 0.186818i 0.811796 0.583941i \(-0.198490\pi\)
0.637127 + 0.770759i \(0.280123\pi\)
\(194\) 1590.03 2279.43i 0.588442 0.843576i
\(195\) 759.537 + 48.7639i 0.278931 + 0.0179080i
\(196\) 10633.2 3.87507
\(197\) 2722.26 484.426i 0.984533 0.175198i
\(198\) −622.318 −0.223365
\(199\) −831.565 53.3882i −0.296221 0.0190180i −0.0847500 0.996402i \(-0.527009\pi\)
−0.211471 + 0.977384i \(0.567825\pi\)
\(200\) −1937.39 + 2777.39i −0.684969 + 0.981955i
\(201\) −2138.68 275.752i −0.750502 0.0967665i
\(202\) −4692.67 + 3054.59i −1.63453 + 1.06396i
\(203\) −4535.70 + 5687.59i −1.56820 + 1.96646i
\(204\) 4112.66 264.041i 1.41149 0.0906206i
\(205\) −5417.88 1055.13i −1.84586 0.359481i
\(206\) −499.182 1356.44i −0.168833 0.458774i
\(207\) −143.229 + 80.6653i −0.0480924 + 0.0270852i
\(208\) 135.290 455.836i 0.0450993 0.151954i
\(209\) −716.171 + 788.584i −0.237027 + 0.260993i
\(210\) −317.142 + 9889.66i −0.104214 + 3.24977i
\(211\) −1751.56 −0.571480 −0.285740 0.958307i \(-0.592239\pi\)
−0.285740 + 0.958307i \(0.592239\pi\)
\(212\) 292.319 9115.59i 0.0947008 2.95312i
\(213\) 1657.16 + 434.560i 0.533085 + 0.139791i
\(214\) 402.888 + 390.175i 0.128696 + 0.124635i
\(215\) 1837.00 + 6189.46i 0.582708 + 1.96334i
\(216\) −4575.94 2203.66i −1.44145 0.694166i
\(217\) −1763.18 + 849.102i −0.551578 + 0.265626i
\(218\) −867.853 + 1431.61i −0.269626 + 0.444776i
\(219\) 1208.90 3284.97i 0.373013 1.01360i
\(220\) 509.405 + 3150.85i 0.156109 + 0.965592i
\(221\) 561.232 543.522i 0.170826 0.165436i
\(222\) 2383.67 5384.76i 0.720638 1.62793i
\(223\) −259.233 + 2687.22i −0.0778454 + 0.806949i 0.871016 + 0.491255i \(0.163462\pi\)
−0.948861 + 0.315694i \(0.897763\pi\)
\(224\) −2377.30 623.402i −0.709107 0.185950i
\(225\) 930.965 + 59.7699i 0.275842 + 0.0177096i
\(226\) 5719.34 6297.63i 1.68338 1.85359i
\(227\) −0.601524 + 6.23542i −0.000175879 + 0.00182317i −0.995467 0.0951114i \(-0.969679\pi\)
0.995291 + 0.0969346i \(0.0309038\pi\)
\(228\) −4393.95 + 1778.91i −1.27630 + 0.516716i
\(229\) −1990.84 661.005i −0.574492 0.190744i 0.0130828 0.999914i \(-0.495835\pi\)
−0.587575 + 0.809170i \(0.699917\pi\)
\(230\) 807.085 + 1012.05i 0.231381 + 0.290142i
\(231\) 1307.81 + 1440.05i 0.372501 + 0.410165i
\(232\) −5969.97 + 4455.51i −1.68943 + 1.26085i
\(233\) 263.064 + 1152.56i 0.0739652 + 0.324063i 0.998352 0.0573947i \(-0.0182794\pi\)
−0.924386 + 0.381458i \(0.875422\pi\)
\(234\) −507.836 + 133.170i −0.141873 + 0.0372035i
\(235\) 4397.55 + 2476.65i 1.22070 + 0.687485i
\(236\) 3886.77 + 2900.77i 1.07206 + 0.800102i
\(237\) −1964.79 + 795.454i −0.538509 + 0.218018i
\(238\) 7296.33 + 7066.10i 1.98719 + 1.92449i
\(239\) 3030.60 4344.60i 0.820224 1.17585i −0.161750 0.986832i \(-0.551714\pi\)
0.981973 0.189020i \(-0.0605312\pi\)
\(240\) −719.284 + 2423.51i −0.193456 + 0.651819i
\(241\) 2067.14 4669.71i 0.552516 1.24814i −0.392087 0.919928i \(-0.628247\pi\)
0.944603 0.328215i \(-0.106447\pi\)
\(242\) −4337.13 3236.88i −1.15207 0.859812i
\(243\) 234.666 + 2432.56i 0.0619499 + 0.642175i
\(244\) 2601.24 + 4986.10i 0.682490 + 1.30821i
\(245\) −8160.72 + 6947.33i −2.12804 + 1.81163i
\(246\) −7353.39 + 948.115i −1.90583 + 0.245730i
\(247\) −415.674 + 796.768i −0.107080 + 0.205252i
\(248\) −1967.00 + 383.072i −0.503647 + 0.0980852i
\(249\) −501.599 + 3102.57i −0.127661 + 0.789627i
\(250\) 160.482 + 1663.57i 0.0405991 + 0.420852i
\(251\) −837.296 278.001i −0.210556 0.0699095i 0.207885 0.978153i \(-0.433342\pi\)
−0.418442 + 0.908244i \(0.637424\pi\)
\(252\) −1264.84 4261.66i −0.316180 1.06531i
\(253\) 252.398 + 32.5432i 0.0627200 + 0.00808685i
\(254\) −5079.24 + 2860.57i −1.25472 + 0.706647i
\(255\) −2983.86 + 2889.70i −0.732770 + 0.709648i
\(256\) −6332.15 3566.20i −1.54594 0.870655i
\(257\) 1137.51 7035.90i 0.276093 1.70773i −0.357372 0.933962i \(-0.616327\pi\)
0.633465 0.773771i \(-0.281632\pi\)
\(258\) 4961.62 + 7112.86i 1.19728 + 1.71639i
\(259\) 8971.24 2978.66i 2.15230 0.714613i
\(260\) 1089.95 + 2462.21i 0.259983 + 0.587306i
\(261\) 1902.18 + 770.107i 0.451119 + 0.182638i
\(262\) −3892.54 6421.15i −0.917869 1.51412i
\(263\) 2425.44 + 3477.05i 0.568665 + 0.815224i 0.996045 0.0888482i \(-0.0283186\pi\)
−0.427380 + 0.904072i \(0.640564\pi\)
\(264\) 921.361 + 1766.08i 0.214795 + 0.411721i
\(265\) 5731.44 + 7186.99i 1.32860 + 1.66601i
\(266\) −10526.3 5069.21i −2.42636 1.16847i
\(267\) 5278.25 3435.76i 1.20983 0.787509i
\(268\) −2634.79 7159.56i −0.600542 1.63187i
\(269\) −976.703 6041.25i −0.221378 1.36930i −0.821873 0.569671i \(-0.807070\pi\)
0.600495 0.799629i \(-0.294970\pi\)
\(270\) 10657.6 2794.75i 2.40222 0.629937i
\(271\) 6032.48 1174.83i 1.35220 0.263342i 0.537522 0.843250i \(-0.319361\pi\)
0.814682 + 0.579908i \(0.196912\pi\)
\(272\) 1345.24 + 2219.11i 0.299879 + 0.494681i
\(273\) 1375.38 + 895.274i 0.304915 + 0.198478i
\(274\) 1307.45 5728.29i 0.288269 1.26299i
\(275\) −1099.71 936.195i −0.241145 0.205290i
\(276\) 949.113 + 617.804i 0.206992 + 0.134737i
\(277\) −3872.70 + 1285.83i −0.840030 + 0.278909i −0.702585 0.711600i \(-0.747971\pi\)
−0.137445 + 0.990509i \(0.543889\pi\)
\(278\) 3266.13 2780.50i 0.704639 0.599868i
\(279\) 371.147 + 408.674i 0.0796415 + 0.0876941i
\(280\) −14653.8 + 7056.92i −3.12762 + 1.50618i
\(281\) −1600.19 + 2006.58i −0.339713 + 0.425987i −0.922116 0.386913i \(-0.873541\pi\)
0.582403 + 0.812900i \(0.302113\pi\)
\(282\) 6654.34 + 1295.93i 1.40518 + 0.273658i
\(283\) 2946.40 8006.32i 0.618888 1.68172i −0.107304 0.994226i \(-0.534222\pi\)
0.726192 0.687492i \(-0.241288\pi\)
\(284\) 1348.71 + 5909.08i 0.281800 + 1.23465i
\(285\) 2209.98 4236.11i 0.459326 0.880441i
\(286\) 753.385 + 305.012i 0.155764 + 0.0630619i
\(287\) −9062.41 7714.94i −1.86389 1.58676i
\(288\) 22.2213 + 692.943i 0.00454654 + 0.141778i
\(289\) −20.8048 648.771i −0.00423465 0.132052i
\(290\) 3595.97 15755.0i 0.728147 3.19022i
\(291\) 991.994 + 2240.93i 0.199834 + 0.451429i
\(292\) 12282.1 1583.60i 2.46149 0.317374i
\(293\) −931.802 + 695.422i −0.185790 + 0.138659i −0.686974 0.726682i \(-0.741061\pi\)
0.501184 + 0.865341i \(0.332898\pi\)
\(294\) −7462.82 + 12310.7i −1.48041 + 2.44209i
\(295\) −4878.26 + 313.195i −0.962791 + 0.0618132i
\(296\) 9659.79 620.179i 1.89684 0.121781i
\(297\) 1122.89 1852.32i 0.219382 0.361894i
\(298\) −5227.69 + 3901.53i −1.01622 + 0.758421i
\(299\) 212.931 27.4544i 0.0411843 0.00531013i
\(300\) −2601.49 5876.81i −0.500657 1.13099i
\(301\) −3097.75 + 13572.1i −0.593194 + 2.59895i
\(302\) −2.76982 86.3733i −0.000527767 0.0164577i
\(303\) −158.250 4934.82i −0.0300041 0.935637i
\(304\) −2272.89 1934.94i −0.428812 0.365053i
\(305\) −5254.12 2127.16i −0.986394 0.399347i
\(306\) 1325.29 2540.34i 0.247588 0.474580i
\(307\) −1524.12 6677.59i −0.283342 1.24140i −0.893479 0.449105i \(-0.851743\pi\)
0.610138 0.792296i \(-0.291114\pi\)
\(308\) −2376.84 + 6458.65i −0.439718 + 1.19486i
\(309\) 1251.01 + 243.634i 0.230316 + 0.0448540i
\(310\) 2710.48 3398.83i 0.496596 0.622712i
\(311\) −1345.18 + 647.807i −0.245268 + 0.118115i −0.552480 0.833526i \(-0.686318\pi\)
0.307212 + 0.951641i \(0.400604\pi\)
\(312\) 1129.79 + 1244.02i 0.205006 + 0.225734i
\(313\) 6942.93 5910.60i 1.25379 1.06737i 0.258957 0.965889i \(-0.416621\pi\)
0.994837 0.101482i \(-0.0323585\pi\)
\(314\) 4205.18 1396.22i 0.755771 0.250933i
\(315\) 3755.14 + 2444.33i 0.671677 + 0.437213i
\(316\) −5710.24 4861.20i −1.01654 0.865392i
\(317\) −1234.19 + 5407.32i −0.218671 + 0.958061i 0.739790 + 0.672838i \(0.234925\pi\)
−0.958461 + 0.285223i \(0.907932\pi\)
\(318\) 10348.5 + 6736.14i 1.82489 + 1.18787i
\(319\) −1646.95 2716.82i −0.289065 0.476843i
\(320\) 10058.8 1958.96i 1.75721 0.342216i
\(321\) −478.379 + 125.446i −0.0831792 + 0.0218121i
\(322\) 445.465 + 2755.36i 0.0770957 + 0.476864i
\(323\) −1693.88 4602.82i −0.291796 0.792904i
\(324\) 4980.89 3242.20i 0.854062 0.555933i
\(325\) −1097.74 528.644i −0.187359 0.0902274i
\(326\) 7898.22 + 9904.05i 1.34185 + 1.68262i
\(327\) −682.810 1308.82i −0.115472 0.221339i
\(328\) −6972.52 9995.63i −1.17376 1.68267i
\(329\) 5641.36 + 9306.01i 0.945344 + 1.55944i
\(330\) −4005.46 1621.63i −0.668162 0.270509i
\(331\) −3836.80 8667.40i −0.637129 1.43929i −0.882714 0.469911i \(-0.844286\pi\)
0.245585 0.969375i \(-0.421020\pi\)
\(332\) −10552.5 + 3503.68i −1.74441 + 0.579185i
\(333\) −1525.60 2187.06i −0.251058 0.359911i
\(334\) −2723.52 + 16845.9i −0.446181 + 2.75979i
\(335\) 6699.93 + 3773.33i 1.09270 + 0.615400i
\(336\) −3915.64 + 3792.09i −0.635761 + 0.615700i
\(337\) −5263.77 + 2964.50i −0.850847 + 0.479188i −0.853674 0.520808i \(-0.825631\pi\)
0.00282658 + 0.999996i \(0.499100\pi\)
\(338\) −9756.83 1258.00i −1.57012 0.202445i
\(339\) 2134.38 + 7191.42i 0.341957 + 1.15217i
\(340\) −13946.8 4630.65i −2.22462 0.738625i
\(341\) −82.0671 850.711i −0.0130328 0.135099i
\(342\) −526.012 + 3253.57i −0.0831680 + 0.514423i
\(343\) −11749.5 + 2288.21i −1.84959 + 0.360209i
\(344\) −6593.62 + 12638.7i −1.03344 + 1.98092i
\(345\) −1132.07 + 145.965i −0.176663 + 0.0227782i
\(346\) 7036.14 5989.96i 1.09325 0.930700i
\(347\) 3805.00 + 7293.48i 0.588655 + 1.12834i 0.978264 + 0.207361i \(0.0664876\pi\)
−0.389609 + 0.920980i \(0.627390\pi\)
\(348\) −1357.56 14072.5i −0.209117 2.16772i
\(349\) −6679.62 4985.13i −1.02450 0.764608i −0.0522740 0.998633i \(-0.516647\pi\)
−0.972231 + 0.234025i \(0.924810\pi\)
\(350\) 6411.73 14484.2i 0.979204 2.21204i
\(351\) 519.940 1751.85i 0.0790665 0.266401i
\(352\) 614.069 880.314i 0.0929829 0.133298i
\(353\) −2730.13 2643.98i −0.411643 0.398654i 0.460694 0.887559i \(-0.347601\pi\)
−0.872337 + 0.488905i \(0.837397\pi\)
\(354\) −6086.30 + 2464.07i −0.913795 + 0.369955i
\(355\) −4895.87 3653.89i −0.731961 0.546276i
\(356\) 19414.1 + 10933.8i 2.89030 + 1.62779i
\(357\) −8663.48 + 2271.83i −1.28437 + 0.336801i
\(358\) 591.734 + 2592.55i 0.0873578 + 0.382740i
\(359\) 8493.33 6338.74i 1.24864 0.931883i 0.249306 0.968425i \(-0.419798\pi\)
0.999332 + 0.0365422i \(0.0116343\pi\)
\(360\) 3084.61 + 3396.50i 0.451593 + 0.497254i
\(361\) −759.030 951.794i −0.110662 0.138766i
\(362\) −5148.84 1709.53i −0.747561 0.248207i
\(363\) 4423.34 1790.81i 0.639574 0.258935i
\(364\) −557.506 + 5779.13i −0.0802781 + 0.832167i
\(365\) −8391.55 + 9240.02i −1.20338 + 1.32505i
\(366\) −7598.38 487.832i −1.08517 0.0696705i
\(367\) 5681.76 + 1489.93i 0.808135 + 0.211918i 0.634531 0.772897i \(-0.281193\pi\)
0.173604 + 0.984815i \(0.444459\pi\)
\(368\) −68.4744 + 709.808i −0.00969965 + 0.100547i
\(369\) −1359.01 + 3070.03i −0.191727 + 0.433115i
\(370\) −15084.3 + 14608.4i −2.11945 + 2.05258i
\(371\) 3163.43 + 19566.9i 0.442687 + 2.73818i
\(372\) 1313.51 3569.23i 0.183071 0.497462i
\(373\) −2477.60 + 4087.06i −0.343928 + 0.567346i −0.978685 0.205366i \(-0.934161\pi\)
0.634757 + 0.772712i \(0.281100\pi\)
\(374\) −3996.56 + 1924.64i −0.552559 + 0.266098i
\(375\) −1327.78 639.425i −0.182843 0.0880526i
\(376\) 3170.66 + 10683.0i 0.434878 + 1.46525i
\(377\) −1925.35 1864.60i −0.263026 0.254726i
\(378\) 22980.0 + 6026.07i 3.12689 + 0.819967i
\(379\) 77.7792 2425.44i 0.0105416 0.328724i −0.980608 0.195977i \(-0.937212\pi\)
0.991150 0.132747i \(-0.0423798\pi\)
\(380\) 16903.7 2.28195
\(381\) 164.754 5137.63i 0.0221538 0.690837i
\(382\) 7575.57 8341.55i 1.01466 1.11725i
\(383\) 3166.36 10668.5i 0.422437 1.42333i −0.431102 0.902303i \(-0.641875\pi\)
0.853539 0.521028i \(-0.174451\pi\)
\(384\) 9765.87 5500.04i 1.29782 0.730918i
\(385\) −2395.67 6509.81i −0.317129 0.861741i
\(386\) −18416.2 3586.55i −2.42839 0.472929i
\(387\) 3919.03 251.610i 0.514768 0.0330492i
\(388\) −5405.75 + 6778.60i −0.707308 + 0.886936i
\(389\) −10257.2 + 6676.72i −1.33692 + 0.870239i −0.997519 0.0704024i \(-0.977572\pi\)
−0.339402 + 0.940641i \(0.610225\pi\)
\(390\) −3615.62 466.183i −0.469447 0.0605284i
\(391\) −670.353 + 961.001i −0.0867038 + 0.124296i
\(392\) −23615.0 1516.13i −3.04270 0.195348i
\(393\) 6621.23 0.849864
\(394\) −13161.1 + 1480.14i −1.68286 + 0.189259i
\(395\) 7558.60 0.962822
\(396\) 1937.42 + 124.387i 0.245857 + 0.0157845i
\(397\) 639.352 916.560i 0.0808266 0.115871i −0.777710 0.628623i \(-0.783619\pi\)
0.858537 + 0.512752i \(0.171374\pi\)
\(398\) 3958.50 + 510.392i 0.498547 + 0.0642805i
\(399\) 8634.19 5620.23i 1.08333 0.705172i
\(400\) 2523.21 3164.00i 0.315401 0.395501i
\(401\) −14511.2 + 931.653i −1.80712 + 0.116021i −0.930761 0.365629i \(-0.880854\pi\)
−0.876364 + 0.481650i \(0.840038\pi\)
\(402\) 10138.3 + 1974.43i 1.25784 + 0.244964i
\(403\) −249.014 676.652i −0.0307798 0.0836387i
\(404\) 15219.9 8571.70i 1.87430 1.05559i
\(405\) −1704.39 + 5742.64i −0.209115 + 0.704578i
\(406\) 23426.1 25794.8i 2.86359 3.15313i
\(407\) −132.317 + 4126.15i −0.0161148 + 0.502520i
\(408\) −9171.36 −1.11287
\(409\) −209.040 + 6518.63i −0.0252723 + 0.788082i 0.905898 + 0.423497i \(0.139197\pi\)
−0.931170 + 0.364586i \(0.881211\pi\)
\(410\) 25573.7 + 6706.21i 3.08048 + 0.807796i
\(411\) 3721.80 + 3604.36i 0.446674 + 0.432579i
\(412\) 1282.95 + 4322.68i 0.153414 + 0.516901i
\(413\) −9496.41 4573.23i −1.13145 0.544876i
\(414\) 709.392 341.625i 0.0842143 0.0405555i
\(415\) 5809.64 9583.61i 0.687190 1.13359i
\(416\) 312.725 849.775i 0.0368572 0.100153i
\(417\) 603.660 + 3733.85i 0.0708905 + 0.438483i
\(418\) 3665.30 3549.65i 0.428890 0.415357i
\(419\) 2588.49 5847.45i 0.301805 0.681782i −0.697593 0.716495i \(-0.745745\pi\)
0.999397 + 0.0347125i \(0.0110516\pi\)
\(420\) 2964.05 30725.4i 0.344359 3.56964i
\(421\) 11262.3 + 2953.32i 1.30378 + 0.341891i 0.839288 0.543687i \(-0.182972\pi\)
0.464490 + 0.885578i \(0.346237\pi\)
\(422\) 8372.46 + 537.530i 0.965794 + 0.0620060i
\(423\) 2063.88 2272.56i 0.237232 0.261219i
\(424\) −1948.95 + 20202.9i −0.223230 + 2.31401i
\(425\) 6163.55 2495.34i 0.703473 0.284805i
\(426\) −7787.89 2585.76i −0.885739 0.294086i
\(427\) −7620.45 9555.74i −0.863652 1.08298i
\(428\) −1176.30 1295.24i −0.132847 0.146279i
\(429\) −574.377 + 428.669i −0.0646415 + 0.0482432i
\(430\) −6881.40 30149.4i −0.771745 3.38124i
\(431\) −2635.91 + 691.217i −0.294588 + 0.0772500i −0.397990 0.917390i \(-0.630292\pi\)
0.103403 + 0.994640i \(0.467027\pi\)
\(432\) 5288.59 + 2978.48i 0.588998 + 0.331718i
\(433\) −9663.85 7212.32i −1.07255 0.800466i −0.0918102 0.995777i \(-0.529265\pi\)
−0.980741 + 0.195310i \(0.937429\pi\)
\(434\) 8688.58 3517.62i 0.960979 0.389057i
\(435\) 10236.4 + 9913.36i 1.12827 + 1.09267i
\(436\) 2987.98 4283.49i 0.328207 0.470509i
\(437\) 383.479 1292.07i 0.0419778 0.141437i
\(438\) −6786.65 + 15331.2i −0.740363 + 1.67249i
\(439\) −2073.40 1547.42i −0.225417 0.168233i 0.479457 0.877565i \(-0.340833\pi\)
−0.704875 + 0.709332i \(0.748997\pi\)
\(440\) −682.062 7070.29i −0.0739001 0.766052i
\(441\) 3015.26 + 5779.68i 0.325587 + 0.624088i
\(442\) −2849.49 + 2425.81i −0.306643 + 0.261049i
\(443\) 12584.9 1622.64i 1.34972 0.174027i 0.581150 0.813796i \(-0.302603\pi\)
0.768567 + 0.639769i \(0.220970\pi\)
\(444\) −8497.22 + 16287.6i −0.908244 + 1.74093i
\(445\) −22043.6 + 4293.00i −2.34824 + 0.457320i
\(446\) 2063.81 12765.4i 0.219112 1.35529i
\(447\) −552.323 5725.41i −0.0584430 0.605822i
\(448\) 20970.8 + 6962.77i 2.21155 + 0.734286i
\(449\) −3004.83 10124.3i −0.315828 1.06413i −0.955379 0.295381i \(-0.904553\pi\)
0.639551 0.768748i \(-0.279120\pi\)
\(450\) −4431.67 571.401i −0.464247 0.0598580i
\(451\) 4528.86 2550.61i 0.472851 0.266305i
\(452\) −19064.4 + 18462.8i −1.98388 + 1.92128i
\(453\) 66.3964 + 37.3938i 0.00688648 + 0.00387839i
\(454\) 4.78885 29.6207i 0.000495048 0.00306205i
\(455\) −3347.99 4799.60i −0.344959 0.494525i
\(456\) 10012.1 3324.24i 1.02820 0.341385i
\(457\) 2852.28 + 6443.34i 0.291956 + 0.659534i 0.998858 0.0477778i \(-0.0152139\pi\)
−0.706902 + 0.707312i \(0.749908\pi\)
\(458\) 9313.38 + 3770.57i 0.950188 + 0.384688i
\(459\) 5169.97 + 8528.40i 0.525737 + 0.867258i
\(460\) −2310.36 3312.07i −0.234176 0.335709i
\(461\) −8430.99 16160.6i −0.851779 1.63270i −0.771766 0.635907i \(-0.780626\pi\)
−0.0800135 0.996794i \(-0.525496\pi\)
\(462\) −5809.42 7284.78i −0.585018 0.733590i
\(463\) 3561.81 + 1715.28i 0.357520 + 0.172172i 0.604018 0.796971i \(-0.293566\pi\)
−0.246498 + 0.969143i \(0.579280\pi\)
\(464\) 7461.01 4856.58i 0.746484 0.485908i
\(465\) 1323.91 + 3597.50i 0.132032 + 0.358774i
\(466\) −903.743 5589.97i −0.0898392 0.555687i
\(467\) 1348.93 353.732i 0.133664 0.0350509i −0.186216 0.982509i \(-0.559623\pi\)
0.319881 + 0.947458i \(0.396357\pi\)
\(468\) 1607.63 313.086i 0.158788 0.0309239i
\(469\) 8594.95 + 14178.3i 0.846221 + 1.39593i
\(470\) −20260.2 13188.0i −1.98837 1.29429i
\(471\) −869.417 + 3809.17i −0.0850544 + 0.372648i
\(472\) −8218.43 6996.46i −0.801449 0.682284i
\(473\) −5095.33 3316.70i −0.495314 0.322414i
\(474\) 9635.80 3199.31i 0.933728 0.310019i
\(475\) −5824.08 + 4958.11i −0.562584 + 0.478934i
\(476\) −21302.9 23456.8i −2.05129 2.25870i
\(477\) 5037.68 2426.02i 0.483563 0.232872i
\(478\) −15819.6 + 19837.1i −1.51375 + 1.89818i
\(479\) 15909.8 + 3098.42i 1.51761 + 0.295555i 0.880063 0.474857i \(-0.157500\pi\)
0.637547 + 0.770411i \(0.279949\pi\)
\(480\) −1662.64 + 4517.93i −0.158102 + 0.429613i
\(481\) 774.980 + 3395.41i 0.0734637 + 0.321865i
\(482\) −11314.0 + 21686.9i −1.06917 + 2.04940i
\(483\) −2281.32 923.605i −0.214915 0.0870093i
\(484\) 12855.5 + 10944.1i 1.20732 + 1.02780i
\(485\) −280.093 8734.33i −0.0262234 0.817744i
\(486\) −375.185 11699.6i −0.0350180 1.09199i
\(487\) −666.582 + 2920.49i −0.0620241 + 0.271745i −0.996425 0.0844767i \(-0.973078\pi\)
0.934401 + 0.356222i \(0.115935\pi\)
\(488\) −5066.10 11444.4i −0.469942 1.06161i
\(489\) −11078.6 + 1428.42i −1.02452 + 0.132097i
\(490\) 41140.3 30703.8i 3.79292 2.83073i
\(491\) −7657.81 + 12632.4i −0.703853 + 1.16108i 0.275961 + 0.961169i \(0.411004\pi\)
−0.979814 + 0.199911i \(0.935935\pi\)
\(492\) 23082.3 1481.94i 2.11511 0.135794i
\(493\) 14597.6 937.196i 1.33355 0.0856170i
\(494\) 2231.44 3680.99i 0.203233 0.335254i
\(495\) −1568.20 + 1170.38i −0.142394 + 0.106272i
\(496\) 2375.19 306.247i 0.215019 0.0277236i
\(497\) −5331.97 12045.0i −0.481230 1.08711i
\(498\) 3349.78 14676.3i 0.301420 1.32061i
\(499\) 685.907 + 21389.1i 0.0615339 + 1.91885i 0.310897 + 0.950444i \(0.399371\pi\)
−0.249363 + 0.968410i \(0.580221\pi\)
\(500\) −167.111 5211.15i −0.0149469 0.466099i
\(501\) −11457.8 9754.18i −1.02175 0.869830i
\(502\) 3916.96 + 1585.80i 0.348252 + 0.140992i
\(503\) −4131.55 + 7919.42i −0.366236 + 0.702007i −0.997277 0.0737430i \(-0.976506\pi\)
0.631041 + 0.775750i \(0.282628\pi\)
\(504\) 2201.40 + 9644.97i 0.194560 + 0.852423i
\(505\) −6080.50 + 16522.7i −0.535800 + 1.45594i
\(506\) −1196.48 233.014i −0.105118 0.0204718i
\(507\) 5408.58 6782.14i 0.473774 0.594094i
\(508\) 16384.6 7890.42i 1.43100 0.689136i
\(509\) 11897.6 + 13100.6i 1.03606 + 1.14081i 0.989884 + 0.141881i \(0.0453150\pi\)
0.0461737 + 0.998933i \(0.485297\pi\)
\(510\) 15149.7 12897.1i 1.31537 1.11979i
\(511\) −25542.4 + 8480.66i −2.21121 + 0.734173i
\(512\) 11381.2 + 7408.33i 0.982387 + 0.639463i
\(513\) −8735.07 7436.27i −0.751779 0.639999i
\(514\) −7596.52 + 33282.5i −0.651884 + 2.85609i
\(515\) −3808.91 2479.33i −0.325904 0.212140i
\(516\) −14025.0 23135.7i −1.19654 1.97382i
\(517\) −4664.97 + 908.502i −0.396838 + 0.0772841i
\(518\) −43796.7 + 11484.8i −3.71489 + 0.974160i
\(519\) 1300.45 + 8043.73i 0.109987 + 0.680309i
\(520\) −2069.56 5623.67i −0.174532 0.474258i
\(521\) 9193.45 5984.27i 0.773076 0.503216i −0.0975094 0.995235i \(-0.531088\pi\)
0.870585 + 0.492018i \(0.163741\pi\)
\(522\) −8856.09 4264.87i −0.742568 0.357602i
\(523\) −2215.09 2777.63i −0.185199 0.232232i 0.680561 0.732691i \(-0.261736\pi\)
−0.865760 + 0.500459i \(0.833165\pi\)
\(524\) 10834.9 + 20768.6i 0.903295 + 1.73145i
\(525\) 7991.01 + 11455.7i 0.664298 + 0.952321i
\(526\) −10526.5 17364.6i −0.872583 1.43942i
\(527\) 3647.42 + 1476.68i 0.301488 + 0.122059i
\(528\) −963.601 2176.79i −0.0794230 0.179418i
\(529\) 11241.6 3732.46i 0.923940 0.306769i
\(530\) −25190.7 36112.8i −2.06455 2.95969i
\(531\) −474.545 + 2935.23i −0.0387825 + 0.239884i
\(532\) 31757.7 + 17885.6i 2.58811 + 1.45759i
\(533\) 3149.92 3050.53i 0.255981 0.247904i
\(534\) −26284.4 + 14803.1i −2.13003 + 1.19961i
\(535\) 1749.04 + 225.514i 0.141341 + 0.0182239i
\(536\) 4830.69 + 16276.2i 0.389280 + 1.31161i
\(537\) −2225.42 738.890i −0.178834 0.0593770i
\(538\) 2814.67 + 29177.0i 0.225555 + 2.33812i
\(539\) 1610.72 9962.89i 0.128718 0.796163i
\(540\) −33738.2 + 6570.51i −2.68863 + 0.523610i
\(541\) 2605.24 4993.77i 0.207039 0.396855i −0.760590 0.649233i \(-0.775090\pi\)
0.967629 + 0.252378i \(0.0812125\pi\)
\(542\) −29195.8 + 3764.38i −2.31378 + 0.298329i
\(543\) 3642.68 3101.06i 0.287887 0.245081i
\(544\) 2285.77 + 4381.39i 0.180150 + 0.345313i
\(545\) 505.469 + 5239.71i 0.0397283 + 0.411825i
\(546\) −6299.58 4701.50i −0.493768 0.368508i
\(547\) 7151.44 16155.2i 0.559001 1.26279i −0.381929 0.924192i \(-0.624740\pi\)
0.940930 0.338601i \(-0.109954\pi\)
\(548\) −5215.33 + 17572.2i −0.406548 + 1.36979i
\(549\) −1972.56 + 2827.82i −0.153346 + 0.219833i
\(550\) 4969.30 + 4812.50i 0.385258 + 0.373101i
\(551\) −15596.0 + 6314.12i −1.20583 + 0.488186i
\(552\) −2019.77 1507.40i −0.155738 0.116230i
\(553\) 14200.7 + 7997.69i 1.09200 + 0.615002i
\(554\) 18906.1 4957.77i 1.44990 0.380209i
\(555\) −4120.27 18052.1i −0.315128 1.38066i
\(556\) −10724.0 + 8003.53i −0.817984 + 0.610477i
\(557\) 12694.4 + 13978.0i 0.965674 + 1.06331i 0.997960 + 0.0638359i \(0.0203334\pi\)
−0.0322862 + 0.999479i \(0.510279\pi\)
\(558\) −1648.67 2067.36i −0.125078 0.156843i
\(559\) −4867.73 1616.20i −0.368306 0.122286i
\(560\) 18016.7 7294.14i 1.35954 0.550418i
\(561\) 375.592 3893.40i 0.0282665 0.293012i
\(562\) 8264.71 9100.37i 0.620331 0.683053i
\(563\) 7636.43 + 490.275i 0.571647 + 0.0367010i 0.347210 0.937788i \(-0.387129\pi\)
0.224437 + 0.974489i \(0.427946\pi\)
\(564\) −20457.5 5364.58i −1.52733 0.400514i
\(565\) 2568.55 26625.8i 0.191256 1.98257i
\(566\) −16540.8 + 37366.0i −1.22838 + 2.77493i
\(567\) −9278.34 + 8985.58i −0.687220 + 0.665536i
\(568\) −2152.77 13315.7i −0.159029 0.983649i
\(569\) 1317.36 3579.68i 0.0970588 0.263740i −0.880628 0.473809i \(-0.842879\pi\)
0.977687 + 0.210068i \(0.0673687\pi\)
\(570\) −11863.7 + 19570.4i −0.871783 + 1.43810i
\(571\) 15084.6 7264.35i 1.10555 0.532406i 0.210152 0.977669i \(-0.432604\pi\)
0.895400 + 0.445263i \(0.146890\pi\)
\(572\) −2284.50 1100.16i −0.166992 0.0804193i
\(573\) 2827.10 + 9525.43i 0.206115 + 0.694469i
\(574\) 40950.8 + 39658.6i 2.97779 + 2.88383i
\(575\) 1767.51 + 463.495i 0.128192 + 0.0336158i
\(576\) 199.787 6230.10i 0.0144522 0.450673i
\(577\) 7677.41 0.553925 0.276963 0.960881i \(-0.410672\pi\)
0.276963 + 0.960881i \(0.410672\pi\)
\(578\) −99.6519 + 3107.51i −0.00717123 + 0.223625i
\(579\) 11122.7 12247.4i 0.798350 0.879072i
\(580\) −14344.2 + 48330.2i −1.02691 + 3.46000i
\(581\) 21055.2 11858.1i 1.50347 0.846739i
\(582\) −4054.02 11016.1i −0.288736 0.784590i
\(583\) −8496.68 1654.73i −0.603596 0.117550i
\(584\) −27502.8 + 1765.74i −1.94876 + 0.125114i
\(585\) −1029.26 + 1290.65i −0.0727430 + 0.0912168i
\(586\) 4667.44 3038.16i 0.329027 0.214173i
\(587\) 8897.20 + 1147.17i 0.625599 + 0.0806621i 0.434150 0.900841i \(-0.357049\pi\)
0.191449 + 0.981503i \(0.438681\pi\)
\(588\) 25694.1 36834.5i 1.80206 2.58338i
\(589\) −4517.01 290.001i −0.315993 0.0202874i
\(590\) 23414.2 1.63381
\(591\) 4899.99 10600.8i 0.341047 0.737830i
\(592\) −11567.9 −0.803102
\(593\) −11918.7 765.203i −0.825364 0.0529901i −0.354347 0.935114i \(-0.615297\pi\)
−0.471017 + 0.882124i \(0.656113\pi\)
\(594\) −5935.85 + 8509.49i −0.410019 + 0.587792i
\(595\) 31675.2 + 4084.07i 2.18245 + 0.281396i
\(596\) 17054.9 11101.5i 1.17214 0.762978i
\(597\) −2194.34 + 2751.62i −0.150433 + 0.188637i
\(598\) −1026.24 + 65.8865i −0.0701771 + 0.00450552i
\(599\) −14331.4 2791.03i −0.977568 0.190381i −0.323012 0.946395i \(-0.604695\pi\)
−0.654556 + 0.756013i \(0.727144\pi\)
\(600\) 4939.65 + 13422.6i 0.336100 + 0.913293i
\(601\) −4216.11 + 2374.47i −0.286154 + 0.161159i −0.627134 0.778912i \(-0.715772\pi\)
0.340979 + 0.940071i \(0.389241\pi\)
\(602\) 18972.4 63924.2i 1.28448 4.32784i
\(603\) 3144.44 3462.38i 0.212358 0.233829i
\(604\) −8.64087 + 269.454i −0.000582106 + 0.0181522i
\(605\) −17016.7 −1.14352
\(606\) −757.993 + 23637.0i −0.0508109 + 1.58447i
\(607\) −4724.81 1238.99i −0.315938 0.0828487i 0.0922803 0.995733i \(-0.470584\pi\)
−0.408218 + 0.912884i \(0.633850\pi\)
\(608\) −4083.36 3954.52i −0.272372 0.263778i
\(609\) 8742.30 + 29455.7i 0.581701 + 1.95994i
\(610\) 24461.9 + 11780.2i 1.62366 + 0.781915i
\(611\) −3612.38 + 1739.63i −0.239184 + 0.115185i
\(612\) −4633.71 + 7643.78i −0.306056 + 0.504872i
\(613\) −4655.43 + 12650.3i −0.306739 + 0.833510i 0.687486 + 0.726198i \(0.258714\pi\)
−0.994225 + 0.107312i \(0.965776\pi\)
\(614\) 5236.02 + 32386.6i 0.344151 + 2.12869i
\(615\) −16746.9 + 16218.5i −1.09805 + 1.06340i
\(616\) 6199.59 14005.0i 0.405501 0.916033i
\(617\) 966.954 10023.5i 0.0630925 0.654020i −0.908584 0.417703i \(-0.862835\pi\)
0.971676 0.236317i \(-0.0759403\pi\)
\(618\) −5905.07 1548.49i −0.384364 0.100792i
\(619\) −9977.20 640.557i −0.647847 0.0415932i −0.263323 0.964708i \(-0.584818\pi\)
−0.384525 + 0.923115i \(0.625635\pi\)
\(620\) −9117.70 + 10039.6i −0.590606 + 0.650323i
\(621\) −263.158 + 2727.91i −0.0170051 + 0.176276i
\(622\) 6628.79 2683.70i 0.427315 0.173001i
\(623\) −45956.8 15258.7i −2.95541 0.981264i
\(624\) −1252.15 1570.14i −0.0803302 0.100731i
\(625\) 12090.8 + 13313.3i 0.773811 + 0.852051i
\(626\) −35001.1 + 26122.0i −2.23471 + 1.66780i
\(627\) 1001.17 + 4386.43i 0.0637688 + 0.279390i
\(628\) −13370.8 + 3506.23i −0.849606 + 0.222793i
\(629\) −16561.4 9327.20i −1.04983 0.591256i
\(630\) −17199.5 12836.3i −1.08769 0.811762i
\(631\) −4903.23 + 1985.10i −0.309341 + 0.125238i −0.524676 0.851302i \(-0.675814\pi\)
0.215335 + 0.976540i \(0.430916\pi\)
\(632\) 11988.6 + 11610.3i 0.754559 + 0.730750i
\(633\) −4232.48 + 6067.58i −0.265760 + 0.380987i
\(634\) 7558.85 25468.3i 0.473502 1.59539i
\(635\) −7419.52 + 16760.8i −0.463676 + 1.04745i
\(636\) −30871.0 23039.6i −1.92471 1.43645i
\(637\) −817.552 8474.78i −0.0508518 0.527132i
\(638\) 7038.69 + 13491.8i 0.436778 + 0.837221i
\(639\) −2829.43 + 2408.73i −0.175165 + 0.149120i
\(640\) −39638.8 + 5110.86i −2.44822 + 0.315663i
\(641\) −6070.98 + 11636.9i −0.374086 + 0.717054i −0.997917 0.0645057i \(-0.979453\pi\)
0.623831 + 0.781559i \(0.285575\pi\)
\(642\) 2325.15 452.823i 0.142938 0.0278372i
\(643\) 368.827 2281.33i 0.0226207 0.139917i −0.973389 0.229157i \(-0.926403\pi\)
0.996010 + 0.0892401i \(0.0284438\pi\)
\(644\) −836.107 8667.12i −0.0511603 0.530330i
\(645\) 25879.9 + 8592.71i 1.57987 + 0.524555i
\(646\) 6684.22 + 22521.3i 0.407101 + 1.37166i
\(647\) 3729.07 + 480.810i 0.226592 + 0.0292158i 0.240336 0.970690i \(-0.422742\pi\)
−0.0137442 + 0.999906i \(0.504375\pi\)
\(648\) −11524.2 + 6490.33i −0.698634 + 0.393463i
\(649\) 3306.68 3202.34i 0.199998 0.193687i
\(650\) 5084.97 + 2863.80i 0.306845 + 0.172812i
\(651\) −1319.18 + 8159.62i −0.0794207 + 0.491245i
\(652\) −22609.4 32412.3i −1.35806 1.94688i
\(653\) 464.191 154.122i 0.0278181 0.00923624i −0.301165 0.953572i \(-0.597376\pi\)
0.328983 + 0.944336i \(0.393294\pi\)
\(654\) 2862.18 + 6465.70i 0.171131 + 0.386589i
\(655\) −21885.0 8860.24i −1.30552 0.528547i
\(656\) 7550.16 + 12454.8i 0.449366 + 0.741277i
\(657\) 4343.60 + 6226.88i 0.257930 + 0.369762i
\(658\) −24109.8 46214.0i −1.42842 2.73801i
\(659\) −2743.39 3440.10i −0.162166 0.203349i 0.694109 0.719870i \(-0.255798\pi\)
−0.856275 + 0.516520i \(0.827227\pi\)
\(660\) 12145.8 + 5849.12i 0.716326 + 0.344964i
\(661\) −24484.6 + 15937.7i −1.44075 + 0.937827i −0.441579 + 0.897222i \(0.645582\pi\)
−0.999175 + 0.0406049i \(0.987071\pi\)
\(662\) 15680.0 + 42607.7i 0.920576 + 2.50150i
\(663\) −526.654 3257.54i −0.0308500 0.190818i
\(664\) 23935.4 6276.61i 1.39891 0.366837i
\(665\) −36059.1 + 7022.51i −2.10272 + 0.409506i
\(666\) 6621.19 + 10922.4i 0.385234 + 0.635484i
\(667\) 3368.81 + 2192.85i 0.195563 + 0.127298i
\(668\) 11846.1 51901.0i 0.686135 3.00615i
\(669\) 8682.41 + 7391.44i 0.501766 + 0.427159i
\(670\) −30867.7 20092.6i −1.77988 1.15858i
\(671\) 5065.82 1681.97i 0.291451 0.0967685i
\(672\) −7904.06 + 6728.83i −0.453729 + 0.386265i
\(673\) 9841.91 + 10837.0i 0.563711 + 0.620709i 0.953936 0.300011i \(-0.0969904\pi\)
−0.390225 + 0.920720i \(0.627603\pi\)
\(674\) 26070.6 12554.9i 1.48991 0.717504i
\(675\) 9697.10 12159.8i 0.552951 0.693378i
\(676\) 30123.9 + 5866.62i 1.71392 + 0.333786i
\(677\) 9172.93 24925.8i 0.520745 1.41503i −0.356185 0.934415i \(-0.615923\pi\)
0.876930 0.480617i \(-0.159587\pi\)
\(678\) −7995.38 35030.0i −0.452892 1.98425i
\(679\) 8715.50 16706.0i 0.492592 0.944207i
\(680\) 30313.9 + 12272.7i 1.70953 + 0.692114i
\(681\) 20.1466 + 17.1511i 0.00113366 + 0.000965097i
\(682\) 131.209 + 4091.59i 0.00736695 + 0.229729i
\(683\) 19.5276 + 608.943i 0.00109400 + 0.0341150i 0.999888 0.0149894i \(-0.00477146\pi\)
−0.998794 + 0.0491044i \(0.984363\pi\)
\(684\) 2287.91 10024.0i 0.127895 0.560346i
\(685\) −7478.36 16893.8i −0.417129 0.942302i
\(686\) 56864.7 7331.89i 3.16487 0.408065i
\(687\) −7100.49 + 5299.23i −0.394324 + 0.294292i
\(688\) 8831.36 14568.2i 0.489378 0.807281i
\(689\) −7287.71 + 467.887i −0.402960 + 0.0258709i
\(690\) 5456.10 350.293i 0.301029 0.0193267i
\(691\) 9203.26 15181.7i 0.506669 0.835804i −0.492740 0.870177i \(-0.664005\pi\)
0.999409 + 0.0343730i \(0.0109434\pi\)
\(692\) −23102.4 + 17241.8i −1.26911 + 0.947159i
\(693\) −4184.61 + 539.546i −0.229380 + 0.0295753i
\(694\) −15949.7 36030.6i −0.872393 1.97075i
\(695\) 3001.22 13149.2i 0.163802 0.717665i
\(696\) 1008.44 + 31446.9i 0.0549209 + 1.71263i
\(697\) 767.031 + 23918.9i 0.0416835 + 1.29984i
\(698\) 30398.8 + 25878.8i 1.64844 + 1.40334i
\(699\) 4628.26 + 1873.77i 0.250439 + 0.101391i
\(700\) −22856.3 + 43811.2i −1.23412 + 2.36558i
\(701\) −5033.15 22051.7i −0.271183 1.18813i −0.908618 0.417627i \(-0.862862\pi\)
0.637435 0.770504i \(-0.279995\pi\)
\(702\) −3022.93 + 8214.29i −0.162526 + 0.441636i
\(703\) 21460.2 + 4179.38i 1.15133 + 0.224222i
\(704\) −6016.71 + 7544.72i −0.322107 + 0.403909i
\(705\) 19205.7 9248.96i 1.02600 0.494094i
\(706\) 12238.6 + 13476.1i 0.652417 + 0.718384i
\(707\) −28906.3 + 24608.3i −1.53767 + 1.30904i
\(708\) 19440.6 6454.73i 1.03195 0.342632i
\(709\) −4854.88 3160.18i −0.257163 0.167395i 0.410494 0.911863i \(-0.365356\pi\)
−0.667658 + 0.744468i \(0.732703\pi\)
\(710\) 22281.0 + 18968.1i 1.17773 + 1.00262i
\(711\) 1023.06 4482.30i 0.0539629 0.236427i
\(712\) −41557.4 27050.9i −2.18740 1.42384i
\(713\) 560.553 + 924.691i 0.0294430 + 0.0485693i
\(714\) 42108.7 8200.66i 2.20711 0.429835i
\(715\) 2472.10 648.261i 0.129303 0.0339071i
\(716\) −1324.02 8189.51i −0.0691073 0.427453i
\(717\) −7726.97 20996.7i −0.402467 1.09363i
\(718\) −42543.4 + 27692.7i −2.21129 + 1.43939i
\(719\) 23989.2 + 11552.6i 1.24429 + 0.599220i 0.935976 0.352064i \(-0.114520\pi\)
0.308316 + 0.951284i \(0.400234\pi\)
\(720\) −3418.68 4286.89i −0.176954 0.221893i
\(721\) −4532.63 8688.21i −0.234125 0.448774i
\(722\) 3336.08 + 4782.52i 0.171961 + 0.246519i
\(723\) −11181.3 18444.7i −0.575156 0.948779i
\(724\) 15687.8 + 6351.31i 0.805296 + 0.326028i
\(725\) −9233.80 20859.3i −0.473014 1.06855i
\(726\) −21693.2 + 7202.63i −1.10897 + 0.368202i
\(727\) 13992.4 + 20059.2i 0.713825 + 1.02332i 0.997916 + 0.0645242i \(0.0205530\pi\)
−0.284091 + 0.958797i \(0.591692\pi\)
\(728\) 2062.17 12755.3i 0.104985 0.649370i
\(729\) 18350.6 + 10334.8i 0.932305 + 0.525065i
\(730\) 42947.3 41592.1i 2.17746 2.10876i
\(731\) 24390.0 13736.2i 1.23406 0.695009i
\(732\) 23558.0 + 3037.47i 1.18952 + 0.153372i
\(733\) −4571.81 15403.9i −0.230373 0.776204i −0.991783 0.127933i \(-0.959166\pi\)
0.761409 0.648271i \(-0.224508\pi\)
\(734\) −26701.6 8865.55i −1.34274 0.445822i
\(735\) 4346.61 + 45057.2i 0.218132 + 2.26117i
\(736\) −216.735 + 1340.58i −0.0108546 + 0.0671393i
\(737\) −7107.36 + 1384.16i −0.355228 + 0.0691806i
\(738\) 7438.23 14257.7i 0.371009 0.711156i
\(739\) −9649.82 + 1244.21i −0.480344 + 0.0619335i −0.364243 0.931304i \(-0.618672\pi\)
−0.116101 + 0.993237i \(0.537040\pi\)
\(740\) 49881.0 42464.3i 2.47792 2.10948i
\(741\) 1755.65 + 3365.26i 0.0870384 + 0.166836i
\(742\) −9116.38 94500.8i −0.451041 4.67552i
\(743\) 2040.38 + 1522.77i 0.100746 + 0.0751886i 0.647301 0.762235i \(-0.275898\pi\)
−0.546555 + 0.837423i \(0.684061\pi\)
\(744\) −3426.06 + 7739.54i −0.168825 + 0.381378i
\(745\) −5835.92 + 19663.1i −0.286995 + 0.966982i
\(746\) 13097.2 18775.8i 0.642792 0.921490i
\(747\) −4896.81 4742.30i −0.239846 0.232278i
\(748\) 12826.9 5193.04i 0.627003 0.253845i
\(749\) 3047.39 + 2274.33i 0.148664 + 0.110951i
\(750\) 6150.56 + 3463.93i 0.299449 + 0.168646i
\(751\) 28429.4 7455.08i 1.38136 0.362236i 0.513096 0.858331i \(-0.328498\pi\)
0.868268 + 0.496095i \(0.165233\pi\)
\(752\) −2963.39 12983.5i −0.143702 0.629598i
\(753\) −2986.28 + 2228.72i −0.144523 + 0.107860i
\(754\) 8630.97 + 9503.65i 0.416872 + 0.459022i
\(755\) −169.420 212.445i −0.00816663 0.0102406i
\(756\) −70337.7 23353.7i −3.38381 1.12350i
\(757\) 32725.5 13249.1i 1.57124 0.636124i 0.586466 0.809974i \(-0.300519\pi\)
0.984772 + 0.173850i \(0.0556207\pi\)
\(758\) −1116.12 + 11569.7i −0.0534819 + 0.554396i
\(759\) 722.631 795.697i 0.0345584 0.0380527i
\(760\) −37541.0 2410.21i −1.79178 0.115036i
\(761\) −17973.0 4713.07i −0.856136 0.224505i −0.200604 0.979672i \(-0.564290\pi\)
−0.655532 + 0.755167i \(0.727556\pi\)
\(762\) −2364.19 + 24507.3i −0.112396 + 1.16510i
\(763\) −4594.44 + 10378.9i −0.217995 + 0.492454i
\(764\) −25251.8 + 24455.0i −1.19578 + 1.15805i
\(765\) −1437.90 8893.91i −0.0679573 0.420340i