Properties

Label 76.2.k.a.15.6
Level $76$
Weight $2$
Character 76.15
Analytic conductor $0.607$
Analytic rank $0$
Dimension $48$
CM no
Inner twists $4$

Related objects

Downloads

Learn more

Newspace parameters

Level: \( N \) \(=\) \( 76 = 2^{2} \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 76.k (of order \(18\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(0.606863055362\)
Analytic rank: \(0\)
Dimension: \(48\)
Relative dimension: \(8\) over \(\Q(\zeta_{18})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label 15.6
Character \(\chi\) \(=\) 76.15
Dual form 76.2.k.a.71.6

$q$-expansion

\(f(q)\) \(=\) \(q+(0.854626 + 1.12677i) q^{2} +(0.00846870 + 0.0480284i) q^{3} +(-0.539229 + 1.92594i) q^{4} +(0.579816 - 0.486524i) q^{5} +(-0.0468794 + 0.0505886i) q^{6} +(-2.62687 - 1.51662i) q^{7} +(-2.63093 + 1.03837i) q^{8} +(2.81684 - 1.02525i) q^{9} +O(q^{10})\) \(q+(0.854626 + 1.12677i) q^{2} +(0.00846870 + 0.0480284i) q^{3} +(-0.539229 + 1.92594i) q^{4} +(0.579816 - 0.486524i) q^{5} +(-0.0468794 + 0.0505886i) q^{6} +(-2.62687 - 1.51662i) q^{7} +(-2.63093 + 1.03837i) q^{8} +(2.81684 - 1.02525i) q^{9} +(1.04373 + 0.237525i) q^{10} +(0.655865 - 0.378664i) q^{11} +(-0.0970662 - 0.00958810i) q^{12} +(-1.53562 - 0.270771i) q^{13} +(-0.536102 - 4.25602i) q^{14} +(0.0282772 + 0.0237274i) q^{15} +(-3.41846 - 2.07704i) q^{16} +(-4.84662 - 1.76403i) q^{17} +(3.56257 + 2.29774i) q^{18} +(4.29322 + 0.753853i) q^{19} +(0.624360 + 1.37904i) q^{20} +(0.0505948 - 0.139008i) q^{21} +(0.987187 + 0.415394i) q^{22} +(1.13123 - 1.34815i) q^{23} +(-0.0721517 - 0.117566i) q^{24} +(-0.768759 + 4.35985i) q^{25} +(-1.00728 - 1.96170i) q^{26} +(0.146250 + 0.253312i) q^{27} +(4.33740 - 4.24137i) q^{28} +(-0.178978 - 0.491737i) q^{29} +(-0.00256892 + 0.0521400i) q^{30} +(-3.59957 + 6.23464i) q^{31} +(-0.581158 - 5.62692i) q^{32} +(0.0237409 + 0.0282933i) q^{33} +(-2.15439 - 6.96862i) q^{34} +(-2.26097 + 0.398670i) q^{35} +(0.455638 + 5.97790i) q^{36} +8.80926i q^{37} +(2.81967 + 5.48174i) q^{38} -0.0760464i q^{39} +(-1.02027 + 1.88207i) q^{40} +(-2.56508 + 0.452292i) q^{41} +(0.199870 - 0.0617911i) q^{42} +(6.43028 + 7.66330i) q^{43} +(0.375621 + 1.46734i) q^{44} +(1.13444 - 1.96492i) q^{45} +(2.48584 + 0.122476i) q^{46} +(-3.62828 - 9.96861i) q^{47} +(0.0708070 - 0.181773i) q^{48} +(1.10029 + 1.90575i) q^{49} +(-5.56956 + 2.85983i) q^{50} +(0.0436787 - 0.247714i) q^{51} +(1.34954 - 2.81150i) q^{52} +(5.23679 - 6.24096i) q^{53} +(-0.160436 + 0.381277i) q^{54} +(0.196052 - 0.538649i) q^{55} +(8.48591 + 1.26247i) q^{56} +(0.000151609 + 0.212580i) q^{57} +(0.401117 - 0.621918i) q^{58} +(7.79113 + 2.83574i) q^{59} +(-0.0609454 + 0.0416656i) q^{60} +(-2.83699 - 2.38052i) q^{61} +(-10.1013 + 1.27239i) q^{62} +(-8.95438 - 1.57890i) q^{63} +(5.84358 - 5.46375i) q^{64} +(-1.02211 + 0.590117i) q^{65} +(-0.0115905 + 0.0509309i) q^{66} +(8.84545 - 3.21948i) q^{67} +(6.01084 - 8.38307i) q^{68} +(0.0743296 + 0.0429142i) q^{69} +(-2.38150 - 2.20689i) q^{70} +(-6.90158 + 5.79111i) q^{71} +(-6.34633 + 5.62227i) q^{72} +(-1.69979 - 9.64000i) q^{73} +(-9.92602 + 7.52862i) q^{74} -0.215907 q^{75} +(-3.76690 + 7.86196i) q^{76} -2.29716 q^{77} +(0.0856869 - 0.0649912i) q^{78} +(-2.62972 - 14.9139i) q^{79} +(-2.99261 + 0.458861i) q^{80} +(6.87801 - 5.77133i) q^{81} +(-2.70181 - 2.50371i) q^{82} +(-10.6616 - 6.15546i) q^{83} +(0.240438 + 0.172399i) q^{84} +(-3.66839 + 1.33518i) q^{85} +(-3.13931 + 13.7947i) q^{86} +(0.0221016 - 0.0127604i) q^{87} +(-1.33234 + 1.67727i) q^{88} +(13.0613 + 2.30306i) q^{89} +(3.18354 - 0.401008i) q^{90} +(3.62321 + 3.04023i) q^{91} +(1.98646 + 2.90565i) q^{92} +(-0.329923 - 0.120082i) q^{93} +(8.13153 - 12.6077i) q^{94} +(2.85604 - 1.65165i) q^{95} +(0.265330 - 0.0755648i) q^{96} +(-1.74814 + 4.80298i) q^{97} +(-1.20701 + 2.86848i) q^{98} +(1.45925 - 1.73906i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 48q - 6q^{2} - 12q^{5} - 12q^{6} - 9q^{8} - 18q^{9} + O(q^{10}) \) \( 48q - 6q^{2} - 12q^{5} - 12q^{6} - 9q^{8} - 18q^{9} - 3q^{10} - 9q^{12} - 3q^{14} - 12q^{17} - 42q^{20} - 18q^{21} - 12q^{22} + 24q^{24} - 12q^{25} + 21q^{26} - 12q^{29} + 42q^{30} + 9q^{32} - 36q^{33} + 87q^{36} + 60q^{38} + 6q^{40} + 30q^{41} + 3q^{42} + 45q^{44} - 6q^{45} + 36q^{46} + 45q^{48} - 18q^{49} + 18q^{50} - 15q^{52} - 24q^{53} - 75q^{54} - 12q^{57} + 60q^{58} + 6q^{60} - 66q^{62} - 45q^{64} + 18q^{65} - 42q^{66} - 42q^{68} + 126q^{69} - 63q^{70} - 78q^{72} - 12q^{73} - 105q^{74} - 126q^{76} - 36q^{77} + 3q^{78} - 3q^{80} + 72q^{81} - 111q^{82} - 117q^{84} + 108q^{85} - 24q^{86} - 81q^{88} - 18q^{90} + 36q^{92} + 30q^{93} - 66q^{96} - 6q^{97} + 39q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/76\mathbb{Z}\right)^\times\).

\(n\) \(21\) \(39\)
\(\chi(n)\) \(e\left(\frac{11}{18}\right)\) \(-1\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.854626 + 1.12677i 0.604312 + 0.796748i
\(3\) 0.00846870 + 0.0480284i 0.00488941 + 0.0277292i 0.987155 0.159766i \(-0.0510741\pi\)
−0.982265 + 0.187496i \(0.939963\pi\)
\(4\) −0.539229 + 1.92594i −0.269614 + 0.962968i
\(5\) 0.579816 0.486524i 0.259302 0.217580i −0.503864 0.863783i \(-0.668089\pi\)
0.763165 + 0.646203i \(0.223644\pi\)
\(6\) −0.0468794 + 0.0505886i −0.0191385 + 0.0206527i
\(7\) −2.62687 1.51662i −0.992862 0.573229i −0.0867337 0.996232i \(-0.527643\pi\)
−0.906129 + 0.423002i \(0.860976\pi\)
\(8\) −2.63093 + 1.03837i −0.930174 + 0.367118i
\(9\) 2.81684 1.02525i 0.938948 0.341749i
\(10\) 1.04373 + 0.237525i 0.330055 + 0.0751119i
\(11\) 0.655865 0.378664i 0.197751 0.114171i −0.397855 0.917448i \(-0.630245\pi\)
0.595606 + 0.803277i \(0.296912\pi\)
\(12\) −0.0970662 0.00958810i −0.0280206 0.00276785i
\(13\) −1.53562 0.270771i −0.425904 0.0750984i −0.0434122 0.999057i \(-0.513823\pi\)
−0.382492 + 0.923959i \(0.624934\pi\)
\(14\) −0.536102 4.25602i −0.143279 1.13747i
\(15\) 0.0282772 + 0.0237274i 0.00730115 + 0.00612639i
\(16\) −3.41846 2.07704i −0.854616 0.519260i
\(17\) −4.84662 1.76403i −1.17548 0.427839i −0.320875 0.947121i \(-0.603977\pi\)
−0.854603 + 0.519282i \(0.826199\pi\)
\(18\) 3.56257 + 2.29774i 0.839705 + 0.541582i
\(19\) 4.29322 + 0.753853i 0.984931 + 0.172946i
\(20\) 0.624360 + 1.37904i 0.139611 + 0.308362i
\(21\) 0.0505948 0.139008i 0.0110407 0.0303340i
\(22\) 0.987187 + 0.415394i 0.210469 + 0.0885624i
\(23\) 1.13123 1.34815i 0.235879 0.281109i −0.635100 0.772430i \(-0.719041\pi\)
0.870979 + 0.491321i \(0.163486\pi\)
\(24\) −0.0721517 0.117566i −0.0147279 0.0239980i
\(25\) −0.768759 + 4.35985i −0.153752 + 0.871970i
\(26\) −1.00728 1.96170i −0.197544 0.384721i
\(27\) 0.146250 + 0.253312i 0.0281458 + 0.0487500i
\(28\) 4.33740 4.24137i 0.819692 0.801544i
\(29\) −0.178978 0.491737i −0.0332353 0.0913133i 0.921965 0.387273i \(-0.126583\pi\)
−0.955200 + 0.295960i \(0.904361\pi\)
\(30\) −0.00256892 + 0.0521400i −0.000469019 + 0.00951942i
\(31\) −3.59957 + 6.23464i −0.646502 + 1.11978i 0.337450 + 0.941343i \(0.390436\pi\)
−0.983952 + 0.178432i \(0.942898\pi\)
\(32\) −0.581158 5.62692i −0.102735 0.994709i
\(33\) 0.0237409 + 0.0282933i 0.00413277 + 0.00492524i
\(34\) −2.15439 6.96862i −0.369476 1.19511i
\(35\) −2.26097 + 0.398670i −0.382174 + 0.0673876i
\(36\) 0.455638 + 5.97790i 0.0759397 + 0.996317i
\(37\) 8.80926i 1.44823i 0.689678 + 0.724116i \(0.257752\pi\)
−0.689678 + 0.724116i \(0.742248\pi\)
\(38\) 2.81967 + 5.48174i 0.457411 + 0.889255i
\(39\) 0.0760464i 0.0121772i
\(40\) −1.02027 + 1.88207i −0.161318 + 0.297582i
\(41\) −2.56508 + 0.452292i −0.400598 + 0.0706361i −0.370317 0.928905i \(-0.620751\pi\)
−0.0302802 + 0.999541i \(0.509640\pi\)
\(42\) 0.199870 0.0617911i 0.0308406 0.00953457i
\(43\) 6.43028 + 7.66330i 0.980608 + 1.16864i 0.985675 + 0.168656i \(0.0539426\pi\)
−0.00506711 + 0.999987i \(0.501613\pi\)
\(44\) 0.375621 + 1.46734i 0.0566271 + 0.221210i
\(45\) 1.13444 1.96492i 0.169113 0.292912i
\(46\) 2.48584 + 0.122476i 0.366517 + 0.0180582i
\(47\) −3.62828 9.96861i −0.529239 1.45407i −0.859969 0.510346i \(-0.829517\pi\)
0.330730 0.943725i \(-0.392705\pi\)
\(48\) 0.0708070 0.181773i 0.0102201 0.0262367i
\(49\) 1.10029 + 1.90575i 0.157184 + 0.272250i
\(50\) −5.56956 + 2.85983i −0.787654 + 0.404440i
\(51\) 0.0436787 0.247714i 0.00611624 0.0346869i
\(52\) 1.34954 2.81150i 0.187147 0.389885i
\(53\) 5.23679 6.24096i 0.719328 0.857262i −0.275237 0.961376i \(-0.588756\pi\)
0.994565 + 0.104114i \(0.0332007\pi\)
\(54\) −0.160436 + 0.381277i −0.0218326 + 0.0518853i
\(55\) 0.196052 0.538649i 0.0264357 0.0726315i
\(56\) 8.48591 + 1.26247i 1.13398 + 0.168705i
\(57\) 0.000151609 0.212580i 2.00811e−5 0.0281570i
\(58\) 0.401117 0.621918i 0.0526692 0.0816619i
\(59\) 7.79113 + 2.83574i 1.01432 + 0.369182i 0.795090 0.606492i \(-0.207424\pi\)
0.219228 + 0.975674i \(0.429646\pi\)
\(60\) −0.0609454 + 0.0416656i −0.00786801 + 0.00537901i
\(61\) −2.83699 2.38052i −0.363239 0.304794i 0.442841 0.896600i \(-0.353971\pi\)
−0.806080 + 0.591806i \(0.798415\pi\)
\(62\) −10.1013 + 1.27239i −1.28287 + 0.161594i
\(63\) −8.95438 1.57890i −1.12815 0.198923i
\(64\) 5.84358 5.46375i 0.730448 0.682968i
\(65\) −1.02211 + 0.590117i −0.126778 + 0.0731951i
\(66\) −0.0115905 + 0.0509309i −0.00142669 + 0.00626915i
\(67\) 8.84545 3.21948i 1.08064 0.393322i 0.260497 0.965475i \(-0.416114\pi\)
0.820147 + 0.572152i \(0.193891\pi\)
\(68\) 6.01084 8.38307i 0.728921 1.01660i
\(69\) 0.0743296 + 0.0429142i 0.00894823 + 0.00516627i
\(70\) −2.38150 2.20689i −0.284643 0.263773i
\(71\) −6.90158 + 5.79111i −0.819067 + 0.687279i −0.952753 0.303745i \(-0.901763\pi\)
0.133687 + 0.991024i \(0.457318\pi\)
\(72\) −6.34633 + 5.62227i −0.747922 + 0.662591i
\(73\) −1.69979 9.64000i −0.198946 1.12828i −0.906687 0.421805i \(-0.861397\pi\)
0.707741 0.706472i \(-0.249714\pi\)
\(74\) −9.92602 + 7.52862i −1.15388 + 0.875184i
\(75\) −0.215907 −0.0249308
\(76\) −3.76690 + 7.86196i −0.432093 + 0.901829i
\(77\) −2.29716 −0.261786
\(78\) 0.0856869 0.0649912i 0.00970213 0.00735880i
\(79\) −2.62972 14.9139i −0.295866 1.67794i −0.663660 0.748034i \(-0.730998\pi\)
0.367794 0.929907i \(-0.380113\pi\)
\(80\) −2.99261 + 0.458861i −0.334584 + 0.0513023i
\(81\) 6.87801 5.77133i 0.764223 0.641259i
\(82\) −2.70181 2.50371i −0.298365 0.276489i
\(83\) −10.6616 6.15546i −1.17026 0.675650i −0.216519 0.976279i \(-0.569470\pi\)
−0.953741 + 0.300629i \(0.902803\pi\)
\(84\) 0.240438 + 0.172399i 0.0262340 + 0.0188103i
\(85\) −3.66839 + 1.33518i −0.397893 + 0.144821i
\(86\) −3.13931 + 13.7947i −0.338521 + 1.48752i
\(87\) 0.0221016 0.0127604i 0.00236954 0.00136806i
\(88\) −1.33234 + 1.67727i −0.142028 + 0.178797i
\(89\) 13.0613 + 2.30306i 1.38450 + 0.244124i 0.815757 0.578394i \(-0.196321\pi\)
0.568739 + 0.822518i \(0.307432\pi\)
\(90\) 3.18354 0.401008i 0.335574 0.0422699i
\(91\) 3.62321 + 3.04023i 0.379816 + 0.318703i
\(92\) 1.98646 + 2.90565i 0.207103 + 0.302935i
\(93\) −0.329923 0.120082i −0.0342115 0.0124520i
\(94\) 8.13153 12.6077i 0.838703 1.30038i
\(95\) 2.85604 1.65165i 0.293024 0.169456i
\(96\) 0.265330 0.0755648i 0.0270802 0.00771230i
\(97\) −1.74814 + 4.80298i −0.177497 + 0.487669i −0.996254 0.0864706i \(-0.972441\pi\)
0.818757 + 0.574140i \(0.194663\pi\)
\(98\) −1.20701 + 2.86848i −0.121927 + 0.289760i
\(99\) 1.45925 1.73906i 0.146660 0.174782i
\(100\) −7.98226 3.83154i −0.798226 0.383154i
\(101\) 1.38063 7.82996i 0.137378 0.779110i −0.835796 0.549040i \(-0.814993\pi\)
0.973174 0.230070i \(-0.0738955\pi\)
\(102\) 0.316446 0.162487i 0.0313329 0.0160886i
\(103\) 3.24938 + 5.62810i 0.320171 + 0.554553i 0.980523 0.196403i \(-0.0629262\pi\)
−0.660352 + 0.750956i \(0.729593\pi\)
\(104\) 4.32127 0.882158i 0.423735 0.0865027i
\(105\) −0.0382950 0.105215i −0.00373721 0.0102679i
\(106\) 11.5076 + 0.566977i 1.11772 + 0.0550697i
\(107\) −6.67434 + 11.5603i −0.645233 + 1.11758i 0.339015 + 0.940781i \(0.389906\pi\)
−0.984248 + 0.176795i \(0.943427\pi\)
\(108\) −0.566725 + 0.145075i −0.0545332 + 0.0139598i
\(109\) 7.71028 + 9.18876i 0.738511 + 0.880124i 0.996288 0.0860809i \(-0.0274344\pi\)
−0.257777 + 0.966204i \(0.582990\pi\)
\(110\) 0.774486 0.239438i 0.0738444 0.0228295i
\(111\) −0.423094 + 0.0746029i −0.0401583 + 0.00708100i
\(112\) 5.82976 + 10.6406i 0.550861 + 1.00545i
\(113\) 0.773048i 0.0727222i 0.999339 + 0.0363611i \(0.0115766\pi\)
−0.999339 + 0.0363611i \(0.988423\pi\)
\(114\) −0.239400 + 0.181848i −0.0224219 + 0.0170316i
\(115\) 1.33205i 0.124214i
\(116\) 1.04356 0.0795409i 0.0968926 0.00738519i
\(117\) −4.60320 + 0.811669i −0.425566 + 0.0750388i
\(118\) 3.46327 + 11.2023i 0.318820 + 1.03126i
\(119\) 10.0561 + 11.9844i 0.921838 + 1.09860i
\(120\) −0.0990332 0.0330630i −0.00904045 0.00301822i
\(121\) −5.21323 + 9.02957i −0.473930 + 0.820870i
\(122\) 0.257734 5.23109i 0.0233341 0.473601i
\(123\) −0.0434457 0.119366i −0.00391737 0.0107629i
\(124\) −10.0665 10.2944i −0.904002 0.924469i
\(125\) 3.56767 + 6.17939i 0.319102 + 0.552701i
\(126\) −5.87359 11.4389i −0.523261 1.01906i
\(127\) −0.599259 + 3.39856i −0.0531756 + 0.301574i −0.999783 0.0208137i \(-0.993374\pi\)
0.946608 + 0.322388i \(0.104485\pi\)
\(128\) 11.1505 + 1.91493i 0.985572 + 0.169257i
\(129\) −0.313600 + 0.373734i −0.0276109 + 0.0329054i
\(130\) −1.53845 0.647359i −0.134931 0.0567771i
\(131\) 5.11120 14.0429i 0.446568 1.22694i −0.488530 0.872547i \(-0.662467\pi\)
0.935098 0.354389i \(-0.115311\pi\)
\(132\) −0.0672930 + 0.0304670i −0.00585710 + 0.00265181i
\(133\) −10.1344 8.49146i −0.878764 0.736303i
\(134\) 11.1872 + 7.21535i 0.966425 + 0.623312i
\(135\) 0.208040 + 0.0757205i 0.0179053 + 0.00651698i
\(136\) 14.5828 0.391547i 1.25047 0.0335749i
\(137\) −4.04425 3.39353i −0.345524 0.289929i 0.453466 0.891274i \(-0.350187\pi\)
−0.798990 + 0.601345i \(0.794632\pi\)
\(138\) 0.0151695 + 0.120428i 0.00129131 + 0.0102515i
\(139\) −2.03176 0.358254i −0.172332 0.0303867i 0.0868164 0.996224i \(-0.472331\pi\)
−0.259148 + 0.965838i \(0.583442\pi\)
\(140\) 0.451367 4.56946i 0.0381475 0.386190i
\(141\) 0.448050 0.258682i 0.0377326 0.0217849i
\(142\) −12.4235 2.82727i −1.04256 0.237259i
\(143\) −1.10969 + 0.403894i −0.0927970 + 0.0337753i
\(144\) −11.7588 2.34593i −0.979896 0.195494i
\(145\) −0.343016 0.198040i −0.0284859 0.0164464i
\(146\) 9.40939 10.1539i 0.778727 0.840341i
\(147\) −0.0822122 + 0.0689842i −0.00678074 + 0.00568972i
\(148\) −16.9661 4.75021i −1.39460 0.390464i
\(149\) 2.62167 + 14.8682i 0.214776 + 1.21805i 0.881295 + 0.472566i \(0.156672\pi\)
−0.666520 + 0.745487i \(0.732217\pi\)
\(150\) −0.184520 0.243278i −0.0150660 0.0198635i
\(151\) −6.29994 −0.512682 −0.256341 0.966586i \(-0.582517\pi\)
−0.256341 + 0.966586i \(0.582517\pi\)
\(152\) −12.0779 + 2.47460i −0.979649 + 0.200717i
\(153\) −15.4607 −1.24993
\(154\) −1.96321 2.58838i −0.158200 0.208577i
\(155\) 0.946210 + 5.36622i 0.0760014 + 0.431026i
\(156\) 0.146460 + 0.0410064i 0.0117262 + 0.00328314i
\(157\) −0.586898 + 0.492466i −0.0468395 + 0.0393030i −0.665907 0.746035i \(-0.731955\pi\)
0.619067 + 0.785338i \(0.287511\pi\)
\(158\) 14.5571 15.7089i 1.15810 1.24973i
\(159\) 0.344092 + 0.198662i 0.0272883 + 0.0157549i
\(160\) −3.07459 2.97983i −0.243068 0.235577i
\(161\) −5.01624 + 1.82576i −0.395335 + 0.143890i
\(162\) 12.3811 + 2.81761i 0.972751 + 0.221372i
\(163\) −10.9317 + 6.31140i −0.856234 + 0.494347i −0.862749 0.505632i \(-0.831259\pi\)
0.00651568 + 0.999979i \(0.497926\pi\)
\(164\) 0.512077 5.18406i 0.0399865 0.404807i
\(165\) 0.0275308 + 0.00485442i 0.00214327 + 0.000377916i
\(166\) −2.17586 17.2738i −0.168879 1.34071i
\(167\) 10.1626 + 8.52746i 0.786408 + 0.659875i 0.944854 0.327493i \(-0.106204\pi\)
−0.158446 + 0.987368i \(0.550648\pi\)
\(168\) 0.0112301 + 0.418256i 0.000866424 + 0.0322692i
\(169\) −9.93120 3.61466i −0.763938 0.278051i
\(170\) −4.63955 2.99235i −0.355837 0.229503i
\(171\) 12.8662 2.27812i 0.983903 0.174212i
\(172\) −18.2264 + 8.25203i −1.38975 + 0.629211i
\(173\) 3.89414 10.6990i 0.296066 0.813434i −0.699082 0.715041i \(-0.746408\pi\)
0.995148 0.0983922i \(-0.0313700\pi\)
\(174\) 0.0332667 + 0.0139981i 0.00252194 + 0.00106120i
\(175\) 8.63167 10.2868i 0.652493 0.777611i
\(176\) −3.02855 0.0678097i −0.228286 0.00511135i
\(177\) −0.0702152 + 0.398210i −0.00527770 + 0.0299313i
\(178\) 8.56751 + 16.6854i 0.642162 + 1.25062i
\(179\) −3.55631 6.15972i −0.265811 0.460399i 0.701964 0.712212i \(-0.252307\pi\)
−0.967776 + 0.251813i \(0.918973\pi\)
\(180\) 3.17258 + 3.24441i 0.236470 + 0.241824i
\(181\) −3.43948 9.44990i −0.255655 0.702405i −0.999423 0.0339678i \(-0.989186\pi\)
0.743768 0.668438i \(-0.233037\pi\)
\(182\) −0.329160 + 6.68079i −0.0243990 + 0.495213i
\(183\) 0.0903068 0.156416i 0.00667567 0.0115626i
\(184\) −1.57632 + 4.72153i −0.116208 + 0.348076i
\(185\) 4.28591 + 5.10775i 0.315106 + 0.375529i
\(186\) −0.146656 0.474374i −0.0107533 0.0347828i
\(187\) −3.84670 + 0.678278i −0.281299 + 0.0496006i
\(188\) 21.1554 1.61247i 1.54292 0.117602i
\(189\) 0.887223i 0.0645360i
\(190\) 4.30189 + 1.80656i 0.312092 + 0.131062i
\(191\) 8.64923i 0.625836i −0.949780 0.312918i \(-0.898693\pi\)
0.949780 0.312918i \(-0.101307\pi\)
\(192\) 0.311902 + 0.234387i 0.0225096 + 0.0169154i
\(193\) 14.2454 2.51184i 1.02540 0.180806i 0.364442 0.931226i \(-0.381260\pi\)
0.660962 + 0.750420i \(0.270149\pi\)
\(194\) −6.90587 + 2.13500i −0.495813 + 0.153284i
\(195\) −0.0369983 0.0440929i −0.00264951 0.00315756i
\(196\) −4.26366 + 1.09145i −0.304547 + 0.0779604i
\(197\) −1.14351 + 1.98061i −0.0814716 + 0.141113i −0.903882 0.427781i \(-0.859295\pi\)
0.822411 + 0.568894i \(0.192629\pi\)
\(198\) 3.20663 + 0.157990i 0.227886 + 0.0112278i
\(199\) 2.83294 + 7.78345i 0.200822 + 0.551754i 0.998695 0.0510715i \(-0.0162636\pi\)
−0.797873 + 0.602826i \(0.794041\pi\)
\(200\) −2.50458 12.2687i −0.177100 0.867529i
\(201\) 0.229536 + 0.397568i 0.0161902 + 0.0280423i
\(202\) 10.0025 5.13603i 0.703773 0.361370i
\(203\) −0.275629 + 1.56317i −0.0193454 + 0.109713i
\(204\) 0.453529 + 0.217697i 0.0317534 + 0.0152418i
\(205\) −1.26722 + 1.51022i −0.0885066 + 0.105478i
\(206\) −3.56457 + 8.47123i −0.248356 + 0.590219i
\(207\) 1.80432 4.95733i 0.125409 0.344558i
\(208\) 4.68706 + 4.11517i 0.324989 + 0.285335i
\(209\) 3.10123 1.13126i 0.214516 0.0782509i
\(210\) 0.0858249 0.133069i 0.00592248 0.00918262i
\(211\) −13.0032 4.73277i −0.895175 0.325817i −0.146857 0.989158i \(-0.546916\pi\)
−0.748318 + 0.663341i \(0.769138\pi\)
\(212\) 9.19587 + 13.4510i 0.631575 + 0.923821i
\(213\) −0.336585 0.282428i −0.0230624 0.0193517i
\(214\) −18.7299 + 2.35927i −1.28035 + 0.161277i
\(215\) 7.45676 + 1.31483i 0.508547 + 0.0896705i
\(216\) −0.647804 0.514585i −0.0440775 0.0350131i
\(217\) 18.9112 10.9184i 1.28378 0.741188i
\(218\) −3.76422 + 16.5407i −0.254945 + 1.12028i
\(219\) 0.448599 0.163277i 0.0303135 0.0110332i
\(220\) 0.931688 + 0.668040i 0.0628144 + 0.0450392i
\(221\) 6.96492 + 4.02120i 0.468511 + 0.270495i
\(222\) −0.445648 0.412973i −0.0299099 0.0277169i
\(223\) −7.16674 + 6.01361i −0.479921 + 0.402701i −0.850398 0.526140i \(-0.823639\pi\)
0.370477 + 0.928842i \(0.379194\pi\)
\(224\) −7.00729 + 15.6626i −0.468194 + 1.04650i
\(225\) 2.30445 + 13.0692i 0.153630 + 0.871279i
\(226\) −0.871048 + 0.660667i −0.0579413 + 0.0439469i
\(227\) −28.0188 −1.85967 −0.929837 0.367972i \(-0.880052\pi\)
−0.929837 + 0.367972i \(0.880052\pi\)
\(228\) −0.409498 0.114337i −0.0271197 0.00757218i
\(229\) 21.2119 1.40172 0.700861 0.713298i \(-0.252799\pi\)
0.700861 + 0.713298i \(0.252799\pi\)
\(230\) 1.50092 1.13841i 0.0989676 0.0750643i
\(231\) −0.0194540 0.110329i −0.00127998 0.00725911i
\(232\) 0.981482 + 1.10788i 0.0644375 + 0.0727360i
\(233\) 7.85528 6.59136i 0.514617 0.431815i −0.348134 0.937445i \(-0.613184\pi\)
0.862750 + 0.505630i \(0.168740\pi\)
\(234\) −4.84858 4.49309i −0.316962 0.293722i
\(235\) −6.95370 4.01472i −0.453609 0.261891i
\(236\) −9.66265 + 13.4761i −0.628985 + 0.877220i
\(237\) 0.694019 0.252602i 0.0450814 0.0164083i
\(238\) −4.90945 + 21.5730i −0.318233 + 1.39837i
\(239\) 3.59307 2.07446i 0.232416 0.134186i −0.379270 0.925286i \(-0.623825\pi\)
0.611686 + 0.791100i \(0.290491\pi\)
\(240\) −0.0473819 0.139844i −0.00305849 0.00902691i
\(241\) −7.29483 1.28628i −0.469902 0.0828563i −0.0663169 0.997799i \(-0.521125\pi\)
−0.403585 + 0.914942i \(0.632236\pi\)
\(242\) −14.6296 + 1.84279i −0.940428 + 0.118459i
\(243\) 1.00764 + 0.845509i 0.0646401 + 0.0542395i
\(244\) 6.11451 4.18022i 0.391442 0.267611i
\(245\) 1.56516 + 0.569670i 0.0999942 + 0.0363949i
\(246\) 0.0973685 0.150967i 0.00620799 0.00962529i
\(247\) −6.38862 2.32011i −0.406498 0.147625i
\(248\) 2.99637 20.1406i 0.190270 1.27893i
\(249\) 0.205347 0.564187i 0.0130133 0.0357539i
\(250\) −3.91373 + 9.30102i −0.247526 + 0.588248i
\(251\) −5.06780 + 6.03957i −0.319877 + 0.381214i −0.901891 0.431965i \(-0.857821\pi\)
0.582014 + 0.813179i \(0.302265\pi\)
\(252\) 7.86932 16.3942i 0.495721 1.03274i
\(253\) 0.231440 1.31256i 0.0145505 0.0825202i
\(254\) −4.34155 + 2.22927i −0.272413 + 0.139877i
\(255\) −0.0951932 0.164879i −0.00596123 0.0103252i
\(256\) 7.37180 + 14.2006i 0.460738 + 0.887536i
\(257\) −2.87499 7.89897i −0.179337 0.492724i 0.817154 0.576419i \(-0.195550\pi\)
−0.996491 + 0.0836944i \(0.973328\pi\)
\(258\) −0.689123 0.0339529i −0.0429030 0.00211381i
\(259\) 13.3603 23.1407i 0.830170 1.43790i
\(260\) −0.585376 2.28673i −0.0363035 0.141817i
\(261\) −1.00830 1.20165i −0.0624125 0.0743803i
\(262\) 20.1913 6.24228i 1.24742 0.385650i
\(263\) 22.8569 4.03030i 1.40942 0.248519i 0.583411 0.812177i \(-0.301718\pi\)
0.826008 + 0.563658i \(0.190607\pi\)
\(264\) −0.0918397 0.0497860i −0.00565234 0.00306412i
\(265\) 6.16643i 0.378801i
\(266\) 0.906817 18.6762i 0.0556005 1.14511i
\(267\) 0.646817i 0.0395846i
\(268\) 1.43080 + 18.7718i 0.0873997 + 1.14667i
\(269\) −22.6141 + 3.98747i −1.37880 + 0.243120i −0.813405 0.581698i \(-0.802389\pi\)
−0.565398 + 0.824818i \(0.691277\pi\)
\(270\) 0.0924770 + 0.299127i 0.00562797 + 0.0182043i
\(271\) −1.64574 1.96132i −0.0999715 0.119141i 0.713739 0.700412i \(-0.247000\pi\)
−0.813710 + 0.581270i \(0.802556\pi\)
\(272\) 12.9040 + 16.0969i 0.782423 + 0.976017i
\(273\) −0.115334 + 0.199764i −0.00698031 + 0.0120902i
\(274\) 0.367411 7.45715i 0.0221961 0.450503i
\(275\) 1.14672 + 3.15058i 0.0691496 + 0.189987i
\(276\) −0.122731 + 0.120014i −0.00738752 + 0.00722397i
\(277\) 0.506680 + 0.877596i 0.0304435 + 0.0527296i 0.880846 0.473403i \(-0.156975\pi\)
−0.850402 + 0.526133i \(0.823641\pi\)
\(278\) −1.33273 2.59550i −0.0799315 0.155668i
\(279\) −3.74738 + 21.2525i −0.224350 + 1.27235i
\(280\) 5.53449 3.39659i 0.330749 0.202985i
\(281\) −0.958866 + 1.14273i −0.0572011 + 0.0681697i −0.793886 0.608066i \(-0.791946\pi\)
0.736685 + 0.676236i \(0.236390\pi\)
\(282\) 0.674390 + 0.283774i 0.0401593 + 0.0168985i
\(283\) 0.620886 1.70587i 0.0369078 0.101403i −0.919870 0.392224i \(-0.871706\pi\)
0.956778 + 0.290820i \(0.0939282\pi\)
\(284\) −7.43179 16.4147i −0.440995 0.974036i
\(285\) 0.103513 + 0.123184i 0.00613160 + 0.00729678i
\(286\) −1.40347 0.905189i −0.0829887 0.0535250i
\(287\) 7.42407 + 2.70214i 0.438229 + 0.159502i
\(288\) −7.40601 15.2543i −0.436404 0.898870i
\(289\) 7.35519 + 6.17174i 0.432658 + 0.363043i
\(290\) −0.0700041 0.555751i −0.00411078 0.0326348i
\(291\) −0.245484 0.0432854i −0.0143905 0.00253744i
\(292\) 19.4826 + 1.92447i 1.14013 + 0.112621i
\(293\) −22.4015 + 12.9335i −1.30871 + 0.755585i −0.981881 0.189498i \(-0.939314\pi\)
−0.326831 + 0.945083i \(0.605981\pi\)
\(294\) −0.147990 0.0336786i −0.00863096 0.00196418i
\(295\) 5.89707 2.14636i 0.343341 0.124966i
\(296\) −9.14725 23.1765i −0.531673 1.34711i
\(297\) 0.191840 + 0.110759i 0.0111317 + 0.00642690i
\(298\) −14.5126 + 15.6608i −0.840690 + 0.907206i
\(299\) −2.10218 + 1.76394i −0.121572 + 0.102011i
\(300\) 0.116423 0.415823i 0.00672170 0.0240076i
\(301\) −5.26914 29.8828i −0.303708 1.72241i
\(302\) −5.38409 7.09860i −0.309820 0.408478i
\(303\) 0.387752 0.0222758
\(304\) −13.1104 11.4942i −0.751934 0.659238i
\(305\) −2.80311 −0.160506
\(306\) −13.2131 17.4207i −0.755345 0.995876i
\(307\) −0.350833 1.98967i −0.0200231 0.113557i 0.973158 0.230138i \(-0.0739177\pi\)
−0.993181 + 0.116581i \(0.962807\pi\)
\(308\) 1.23870 4.42419i 0.0705812 0.252091i
\(309\) −0.242790 + 0.203725i −0.0138119 + 0.0115895i
\(310\) −5.23785 + 5.65228i −0.297490 + 0.321028i
\(311\) 23.8648 + 13.7783i 1.35325 + 0.781298i 0.988703 0.149887i \(-0.0478911\pi\)
0.364545 + 0.931186i \(0.381224\pi\)
\(312\) 0.0789641 + 0.200073i 0.00447046 + 0.0113269i
\(313\) −15.2863 + 5.56377i −0.864034 + 0.314483i −0.735749 0.677255i \(-0.763170\pi\)
−0.128285 + 0.991737i \(0.540947\pi\)
\(314\) −1.05647 0.240426i −0.0596203 0.0135680i
\(315\) −5.96007 + 3.44105i −0.335812 + 0.193881i
\(316\) 30.1412 + 2.97732i 1.69557 + 0.167487i
\(317\) −3.12323 0.550709i −0.175418 0.0309309i 0.0852491 0.996360i \(-0.472831\pi\)
−0.260667 + 0.965429i \(0.583942\pi\)
\(318\) 0.0702237 + 0.557495i 0.00393795 + 0.0312628i
\(319\) −0.303588 0.254741i −0.0169977 0.0142628i
\(320\) 0.729964 6.01101i 0.0408062 0.336026i
\(321\) −0.611745 0.222657i −0.0341443 0.0124275i
\(322\) −6.34422 4.09181i −0.353550 0.228028i
\(323\) −19.4778 11.2270i −1.08377 0.624686i
\(324\) 7.40640 + 16.3587i 0.411467 + 0.908815i
\(325\) 2.36104 6.48691i 0.130967 0.359829i
\(326\) −16.4540 6.92360i −0.911302 0.383463i
\(327\) −0.376025 + 0.448129i −0.0207942 + 0.0247816i
\(328\) 6.27889 3.85344i 0.346694 0.212771i
\(329\) −5.58762 + 31.6889i −0.308055 + 1.74707i
\(330\) 0.0180587 + 0.0351696i 0.000994098 + 0.00193602i
\(331\) 0.852024 + 1.47575i 0.0468315 + 0.0811145i 0.888491 0.458894i \(-0.151754\pi\)
−0.841659 + 0.540009i \(0.818421\pi\)
\(332\) 17.6041 17.2143i 0.966148 0.944758i
\(333\) 9.03166 + 24.8143i 0.494932 + 1.35981i
\(334\) −0.923252 + 18.7388i −0.0505181 + 1.02534i
\(335\) 3.56238 6.17023i 0.194634 0.337116i
\(336\) −0.461682 + 0.370106i −0.0251868 + 0.0201910i
\(337\) −7.69079 9.16552i −0.418944 0.499278i 0.514755 0.857337i \(-0.327883\pi\)
−0.933699 + 0.358060i \(0.883438\pi\)
\(338\) −4.41456 14.2794i −0.240121 0.776695i
\(339\) −0.0371282 + 0.00654671i −0.00201653 + 0.000355568i
\(340\) −0.593380 7.78506i −0.0321805 0.422204i
\(341\) 5.45211i 0.295249i
\(342\) 13.5627 + 12.5503i 0.733387 + 0.678644i
\(343\) 14.5578i 0.786049i
\(344\) −24.8749 13.4846i −1.34117 0.727042i
\(345\) 0.0639763 0.0112807i 0.00344437 0.000607335i
\(346\) 15.3834 4.75588i 0.827018 0.255678i
\(347\) −3.49270 4.16244i −0.187498 0.223451i 0.664104 0.747640i \(-0.268813\pi\)
−0.851602 + 0.524189i \(0.824369\pi\)
\(348\) 0.0126579 + 0.0494471i 0.000678532 + 0.00265064i
\(349\) −3.58269 + 6.20540i −0.191777 + 0.332167i −0.945839 0.324636i \(-0.894758\pi\)
0.754062 + 0.656803i \(0.228092\pi\)
\(350\) 18.9678 + 0.934535i 1.01387 + 0.0499530i
\(351\) −0.155994 0.428591i −0.00832637 0.0228765i
\(352\) −2.51187 3.47044i −0.133883 0.184975i
\(353\) −12.4326 21.5339i −0.661721 1.14614i −0.980163 0.198193i \(-0.936493\pi\)
0.318442 0.947942i \(-0.396840\pi\)
\(354\) −0.508700 + 0.261204i −0.0270371 + 0.0138828i
\(355\) −1.18413 + 6.71556i −0.0628473 + 0.356425i
\(356\) −11.4786 + 23.9134i −0.608364 + 1.26741i
\(357\) −0.490427 + 0.584468i −0.0259562 + 0.0309333i
\(358\) 3.90128 9.27141i 0.206189 0.490009i
\(359\) 2.84636 7.82030i 0.150225 0.412740i −0.841639 0.540040i \(-0.818409\pi\)
0.991864 + 0.127301i \(0.0406313\pi\)
\(360\) −0.944339 + 6.34752i −0.0497710 + 0.334544i
\(361\) 17.8634 + 6.47291i 0.940180 + 0.340679i
\(362\) 7.70841 11.9516i 0.405145 0.628164i
\(363\) −0.477825 0.173914i −0.0250793 0.00912812i
\(364\) −7.80904 + 5.33869i −0.409305 + 0.279823i
\(365\) −5.67566 4.76244i −0.297077 0.249278i
\(366\) 0.253424 0.0319220i 0.0132467 0.00166859i
\(367\) 5.79355 + 1.02156i 0.302421 + 0.0533249i 0.322799 0.946467i \(-0.395376\pi\)
−0.0203787 + 0.999792i \(0.506487\pi\)
\(368\) −6.66725 + 2.25899i −0.347554 + 0.117758i
\(369\) −6.76170 + 3.90387i −0.352000 + 0.203227i
\(370\) −2.09242 + 9.19446i −0.108780 + 0.477997i
\(371\) −23.2215 + 8.45195i −1.20560 + 0.438803i
\(372\) 0.409175 0.570660i 0.0212147 0.0295873i
\(373\) 18.2764 + 10.5519i 0.946317 + 0.546356i 0.891935 0.452164i \(-0.149348\pi\)
0.0543820 + 0.998520i \(0.482681\pi\)
\(374\) −4.05176 3.75468i −0.209511 0.194150i
\(375\) −0.266572 + 0.223681i −0.0137657 + 0.0115508i
\(376\) 19.8968 + 22.4592i 1.02610 + 1.15825i
\(377\) 0.141693 + 0.803583i 0.00729758 + 0.0413866i
\(378\) 0.999698 0.758244i 0.0514189 0.0389999i
\(379\) 12.0168 0.617263 0.308631 0.951182i \(-0.400129\pi\)
0.308631 + 0.951182i \(0.400129\pi\)
\(380\) 1.64092 + 6.39118i 0.0841775 + 0.327861i
\(381\) −0.168302 −0.00862240
\(382\) 9.74571 7.39186i 0.498634 0.378200i
\(383\) 3.07265 + 17.4259i 0.157005 + 0.890419i 0.956930 + 0.290319i \(0.0937615\pi\)
−0.799925 + 0.600100i \(0.795127\pi\)
\(384\) 0.00245923 + 0.551756i 0.000125497 + 0.0281567i
\(385\) −1.33193 + 1.11762i −0.0678815 + 0.0569593i
\(386\) 15.0047 + 13.9046i 0.763721 + 0.707725i
\(387\) 25.9699 + 14.9937i 1.32012 + 0.762173i
\(388\) −8.30759 5.95672i −0.421754 0.302407i
\(389\) 22.3252 8.12572i 1.13193 0.411991i 0.292940 0.956131i \(-0.405366\pi\)
0.838994 + 0.544140i \(0.183144\pi\)
\(390\) 0.0180629 0.0793716i 0.000914650 0.00401914i
\(391\) −7.86084 + 4.53846i −0.397540 + 0.229520i
\(392\) −4.87365 3.87140i −0.246156 0.195535i
\(393\) 0.717744 + 0.126558i 0.0362054 + 0.00638399i
\(394\) −3.20897 + 0.404212i −0.161666 + 0.0203639i
\(395\) −8.78070 7.36788i −0.441805 0.370718i
\(396\) 2.56245 + 3.74817i 0.128768 + 0.188352i
\(397\) 26.0487 + 9.48094i 1.30734 + 0.475835i 0.899382 0.437164i \(-0.144017\pi\)
0.407963 + 0.912999i \(0.366239\pi\)
\(398\) −6.34906 + 9.84402i −0.318250 + 0.493436i
\(399\) 0.322006 0.558650i 0.0161205 0.0279675i
\(400\) 11.6836 13.3072i 0.584178 0.665362i
\(401\) −8.35712 + 22.9610i −0.417334 + 1.14662i 0.535873 + 0.844299i \(0.319983\pi\)
−0.953207 + 0.302318i \(0.902239\pi\)
\(402\) −0.251801 + 0.598406i −0.0125587 + 0.0298458i
\(403\) 7.21573 8.59938i 0.359441 0.428366i
\(404\) 14.3355 + 6.88115i 0.713219 + 0.342350i
\(405\) 1.18009 6.69262i 0.0586392 0.332559i
\(406\) −1.99690 + 1.02535i −0.0991042 + 0.0508875i
\(407\) 3.33575 + 5.77769i 0.165347 + 0.286389i
\(408\) 0.142303 + 0.697074i 0.00704505 + 0.0345103i
\(409\) −2.46916 6.78397i −0.122092 0.335446i 0.863557 0.504251i \(-0.168231\pi\)
−0.985649 + 0.168805i \(0.946009\pi\)
\(410\) −2.78467 0.137200i −0.137525 0.00677581i
\(411\) 0.128736 0.222978i 0.00635009 0.0109987i
\(412\) −12.5915 + 3.22327i −0.620340 + 0.158799i
\(413\) −16.1655 19.2653i −0.795453 0.947983i
\(414\) 7.12779 2.20360i 0.350312 0.108301i
\(415\) −9.17653 + 1.61807i −0.450458 + 0.0794279i
\(416\) −0.631171 + 8.79817i −0.0309457 + 0.431366i
\(417\) 0.100616i 0.00492719i
\(418\) 3.92506 + 2.52757i 0.191981 + 0.123628i
\(419\) 14.7450i 0.720341i −0.932887 0.360170i \(-0.882719\pi\)
0.932887 0.360170i \(-0.117281\pi\)
\(420\) 0.223286 0.0170190i 0.0108953 0.000830441i
\(421\) −2.41752 + 0.426275i −0.117823 + 0.0207754i −0.232249 0.972656i \(-0.574608\pi\)
0.114426 + 0.993432i \(0.463497\pi\)
\(422\) −5.78010 18.6963i −0.281371 0.910124i
\(423\) −20.4406 24.3601i −0.993855 1.18443i
\(424\) −7.29721 + 21.8573i −0.354384 + 1.06148i
\(425\) 11.4168 19.7744i 0.553795 0.959201i
\(426\) 0.0305780 0.620625i 0.00148151 0.0300694i
\(427\) 3.84205 + 10.5559i 0.185930 + 0.510838i
\(428\) −18.6654 19.0880i −0.902227 0.922654i
\(429\) −0.0287960 0.0498762i −0.00139028 0.00240804i
\(430\) 4.89123 + 9.52575i 0.235876 + 0.459372i
\(431\) 5.88885 33.3973i 0.283656 1.60869i −0.426391 0.904539i \(-0.640215\pi\)
0.710047 0.704154i \(-0.248674\pi\)
\(432\) 0.0261899 1.16971i 0.00126006 0.0562775i
\(433\) 12.1460 14.4750i 0.583698 0.695624i −0.390684 0.920525i \(-0.627761\pi\)
0.974382 + 0.224901i \(0.0722059\pi\)
\(434\) 28.4645 + 11.9775i 1.36634 + 0.574937i
\(435\) 0.00660666 0.0181516i 0.000316765 0.000870305i
\(436\) −21.8546 + 9.89468i −1.04664 + 0.473869i
\(437\) 5.87294 4.93512i 0.280941 0.236079i
\(438\) 0.567359 + 0.365928i 0.0271095 + 0.0174847i
\(439\) −18.3905 6.69359i −0.877730 0.319468i −0.136437 0.990649i \(-0.543565\pi\)
−0.741293 + 0.671181i \(0.765787\pi\)
\(440\) 0.0435163 + 1.62072i 0.00207456 + 0.0772649i
\(441\) 5.05320 + 4.24014i 0.240629 + 0.201911i
\(442\) 1.42143 + 11.2845i 0.0676105 + 0.536748i
\(443\) 10.5778 + 1.86515i 0.502567 + 0.0886161i 0.419184 0.907901i \(-0.362316\pi\)
0.0833832 + 0.996518i \(0.473427\pi\)
\(444\) 0.0844641 0.855081i 0.00400849 0.0405803i
\(445\) 8.69365 5.01928i 0.412119 0.237937i
\(446\) −12.9009 2.93589i −0.610873 0.139019i
\(447\) −0.691895 + 0.251829i −0.0327255 + 0.0119111i
\(448\) −23.6368 + 5.49002i −1.11673 + 0.259379i
\(449\) −12.5426 7.24145i −0.591920 0.341745i 0.173936 0.984757i \(-0.444351\pi\)
−0.765856 + 0.643012i \(0.777685\pi\)
\(450\) −12.7565 + 13.7659i −0.601349 + 0.648928i
\(451\) −1.51108 + 1.26794i −0.0711538 + 0.0597052i
\(452\) −1.48884 0.416850i −0.0700292 0.0196070i
\(453\) −0.0533523 0.302576i −0.00250671 0.0142163i
\(454\) −23.9456 31.5708i −1.12382 1.48169i
\(455\) 3.57994 0.167830
\(456\) −0.221135 0.559127i −0.0103556 0.0261835i
\(457\) 1.91109 0.0893972 0.0446986 0.999001i \(-0.485767\pi\)
0.0446986 + 0.999001i \(0.485767\pi\)
\(458\) 18.1282 + 23.9010i 0.847077 + 1.11682i
\(459\) −0.261968 1.48570i −0.0122276 0.0693464i
\(460\) 2.56545 + 0.718281i 0.119615 + 0.0334900i
\(461\) −12.8228 + 10.7596i −0.597218 + 0.501125i −0.890550 0.454885i \(-0.849680\pi\)
0.293332 + 0.956011i \(0.405236\pi\)
\(462\) 0.107690 0.116210i 0.00501017 0.00540658i
\(463\) −23.6906 13.6778i −1.10100 0.635660i −0.164513 0.986375i \(-0.552605\pi\)
−0.936482 + 0.350715i \(0.885939\pi\)
\(464\) −0.409529 + 2.05273i −0.0190119 + 0.0952956i
\(465\) −0.249718 + 0.0908899i −0.0115804 + 0.00421492i
\(466\) 14.1403 + 3.21796i 0.655036 + 0.149069i
\(467\) 15.5831 8.99692i 0.721101 0.416328i −0.0940567 0.995567i \(-0.529983\pi\)
0.815158 + 0.579239i \(0.196650\pi\)
\(468\) 0.918957 9.30316i 0.0424788 0.430039i
\(469\) −28.1186 4.95806i −1.29839 0.228942i
\(470\) −1.41914 11.2663i −0.0654600 0.519676i
\(471\) −0.0286226 0.0240172i −0.00131886 0.00110665i
\(472\) −23.4424 + 0.629427i −1.07903 + 0.0289717i
\(473\) 7.11921 + 2.59118i 0.327342 + 0.119143i
\(474\) 0.877751 + 0.566120i 0.0403165 + 0.0260028i
\(475\) −6.58714 + 18.1382i −0.302239 + 0.832240i
\(476\) −28.5036 + 12.9050i −1.30646 + 0.591502i
\(477\) 8.35269 22.9488i 0.382443 1.05075i
\(478\) 5.40817 + 2.27568i 0.247364 + 0.104087i
\(479\) −18.4519 + 21.9901i −0.843087 + 1.00475i 0.156766 + 0.987636i \(0.449893\pi\)
−0.999853 + 0.0171167i \(0.994551\pi\)
\(480\) 0.117079 0.172903i 0.00534389 0.00789191i
\(481\) 2.38529 13.5277i 0.108760 0.616808i
\(482\) −4.78502 9.31890i −0.217951 0.424464i
\(483\) −0.130169 0.225460i −0.00592291 0.0102588i
\(484\) −14.5793 14.9094i −0.662694 0.677698i
\(485\) 1.32316 + 3.63536i 0.0600817 + 0.165073i
\(486\) −0.0915417 + 1.85797i −0.00415241 + 0.0842794i
\(487\) 14.1294 24.4728i 0.640263 1.10897i −0.345111 0.938562i \(-0.612159\pi\)
0.985374 0.170406i \(-0.0545079\pi\)
\(488\) 9.93578 + 3.31714i 0.449771 + 0.150160i
\(489\) −0.395703 0.471580i −0.0178943 0.0213256i
\(490\) 0.695735 + 2.25043i 0.0314301 + 0.101664i
\(491\) −3.11289 + 0.548887i −0.140483 + 0.0247709i −0.243447 0.969914i \(-0.578278\pi\)
0.102964 + 0.994685i \(0.467167\pi\)
\(492\) 0.253319 0.0193080i 0.0114205 0.000870474i
\(493\) 2.69899i 0.121556i
\(494\) −2.84565 9.18135i −0.128032 0.413088i
\(495\) 1.71829i 0.0772315i
\(496\) 25.2546 13.8364i 1.13397 0.621275i
\(497\) 26.9125 4.74539i 1.20719 0.212860i
\(498\) 0.811205 0.250789i 0.0363510 0.0112381i
\(499\) −13.2403 15.7791i −0.592715 0.706371i 0.383410 0.923578i \(-0.374750\pi\)
−0.976125 + 0.217207i \(0.930305\pi\)
\(500\) −13.8249 + 3.53901i −0.618268 + 0.158269i
\(501\) −0.323496 + 0.560311i −0.0144527 + 0.0250329i
\(502\) −11.1363 0.548681i −0.497037 0.0244888i
\(503\) 6.36560 + 17.4893i 0.283828 + 0.779811i 0.996897 + 0.0787173i \(0.0250824\pi\)
−0.713069 + 0.701094i \(0.752695\pi\)
\(504\) 25.1978 5.14397i 1.12240 0.229131i
\(505\) −3.00895 5.21165i −0.133896 0.231915i
\(506\) 1.67675 0.860970i 0.0745408 0.0382748i
\(507\) 0.0895019 0.507591i 0.00397492 0.0225429i
\(508\) −6.22228 2.98674i −0.276069 0.132515i
\(509\) −20.1592 + 24.0248i −0.893543 + 1.06488i 0.103983 + 0.994579i \(0.466841\pi\)
−0.997526 + 0.0703037i \(0.977603\pi\)
\(510\) 0.104427 0.248171i 0.00462410 0.0109892i
\(511\) −10.1551 + 27.9009i −0.449236 + 1.23427i
\(512\) −9.70068 + 20.4425i −0.428714 + 0.903440i
\(513\) 0.436922 + 1.19777i 0.0192906 + 0.0528831i
\(514\) 6.44330 9.99013i 0.284202 0.440646i
\(515\) 4.62225 + 1.68236i 0.203681 + 0.0741336i
\(516\) −0.550686 0.805502i −0.0242426 0.0354602i
\(517\) −6.15442 5.16417i −0.270671 0.227120i
\(518\) 37.4924 4.72266i 1.64732 0.207502i
\(519\) 0.546836 + 0.0964220i 0.0240034 + 0.00423246i
\(520\) 2.07635 2.61389i 0.0910539 0.114627i
\(521\) 0.219847 0.126929i 0.00963168 0.00556085i −0.495176 0.868792i \(-0.664897\pi\)
0.504808 + 0.863232i \(0.331563\pi\)
\(522\) 0.492262 2.16309i 0.0215457 0.0946759i
\(523\) 16.5515 6.02425i 0.723746 0.263422i 0.0462307 0.998931i \(-0.485279\pi\)
0.677515 + 0.735509i \(0.263057\pi\)
\(524\) 24.2897 + 17.4162i 1.06110 + 0.760830i
\(525\) 0.567159 + 0.327449i 0.0247528 + 0.0142911i
\(526\) 24.0754 + 22.3102i 1.04974 + 0.972769i
\(527\) 28.4438 23.8672i 1.23903 1.03967i
\(528\) −0.0223911 0.146031i −0.000974448 0.00635517i
\(529\) 3.45608 + 19.6004i 0.150265 + 0.852193i
\(530\) 6.94816 5.26999i 0.301809 0.228914i
\(531\) 24.8537 1.07856
\(532\) 21.8188 14.9394i 0.945964 0.647704i
\(533\) 4.06145 0.175921
\(534\) −0.728815 + 0.552787i −0.0315389 + 0.0239214i
\(535\) 1.75447 + 9.95007i 0.0758522 + 0.430179i
\(536\) −19.9288 + 17.6551i −0.860791 + 0.762583i
\(537\) 0.265724 0.222969i 0.0114668 0.00962181i
\(538\) −23.8195 22.0731i −1.02693 0.951638i
\(539\) 1.44328 + 0.833278i 0.0621664 + 0.0358918i
\(540\) −0.258014 + 0.359842i −0.0111032 + 0.0154851i
\(541\) 17.7401 6.45689i 0.762709 0.277603i 0.0687653 0.997633i \(-0.478094\pi\)
0.693943 + 0.720030i \(0.255872\pi\)
\(542\) 0.803463 3.53056i 0.0345117 0.151651i
\(543\) 0.424735 0.245221i 0.0182271 0.0105234i
\(544\) −7.10938 + 28.2967i −0.304812 + 1.21321i
\(545\) 8.94110 + 1.57656i 0.382994 + 0.0675323i
\(546\) −0.323655 + 0.0407686i −0.0138512 + 0.00174473i
\(547\) −2.04894 1.71927i −0.0876065 0.0735106i 0.597933 0.801546i \(-0.295989\pi\)
−0.685539 + 0.728036i \(0.740433\pi\)
\(548\) 8.71650 5.95908i 0.372350 0.254559i
\(549\) −10.4320 3.79693i −0.445226 0.162049i
\(550\) −2.56997 + 3.98465i −0.109584 + 0.169906i
\(551\) −0.397692 2.24606i −0.0169423 0.0956853i
\(552\) −0.240117 0.0357228i −0.0102200 0.00152046i
\(553\) −15.7108 + 43.1650i −0.668091 + 1.83556i
\(554\) −0.555828 + 1.32093i −0.0236149 + 0.0561209i
\(555\) −0.209021 + 0.249101i −0.00887244 + 0.0105738i
\(556\) 1.78556 3.71986i 0.0757246 0.157757i
\(557\) 1.36362 7.73347i 0.0577784 0.327678i −0.942194 0.335067i \(-0.891241\pi\)
0.999973 + 0.00738933i \(0.00235212\pi\)
\(558\) −27.1493 + 13.9405i −1.14932 + 0.590147i
\(559\) −7.79945 13.5090i −0.329882 0.571372i
\(560\) 8.55711 + 3.33329i 0.361604 + 0.140857i
\(561\) −0.0651531 0.179007i −0.00275077 0.00755767i
\(562\) −2.10707 0.103815i −0.0888814 0.00437915i
\(563\) −9.25757 + 16.0346i −0.390160 + 0.675777i −0.992470 0.122485i \(-0.960914\pi\)
0.602310 + 0.798262i \(0.294247\pi\)
\(564\) 0.256603 + 1.00240i 0.0108049 + 0.0422088i
\(565\) 0.376106 + 0.448225i 0.0158229 + 0.0188570i
\(566\) 2.45275 0.758284i 0.103097 0.0318731i
\(567\) −26.8205 + 4.72918i −1.12636 + 0.198607i
\(568\) 12.1443 22.4024i 0.509562 0.939983i
\(569\) 42.7241i 1.79109i −0.444972 0.895544i \(-0.646786\pi\)
0.444972 0.895544i \(-0.353214\pi\)
\(570\) −0.0503349 + 0.221912i −0.00210830 + 0.00929486i
\(571\) 32.7962i 1.37248i 0.727376 + 0.686239i \(0.240740\pi\)
−0.727376 + 0.686239i \(0.759260\pi\)
\(572\) −0.179498 2.35499i −0.00750518 0.0984669i
\(573\) 0.415408 0.0732477i 0.0173539 0.00305997i
\(574\) 3.30011 + 10.6745i 0.137744 + 0.445547i
\(575\) 5.00809 + 5.96841i 0.208852 + 0.248900i
\(576\) 10.8588 21.3816i 0.452449 0.890901i
\(577\) −11.0125 + 19.0742i −0.458457 + 0.794071i −0.998880 0.0473226i \(-0.984931\pi\)
0.540422 + 0.841394i \(0.318264\pi\)
\(578\) −0.668202 + 13.5621i −0.0277935 + 0.564111i
\(579\) 0.241279 + 0.662910i 0.0100272 + 0.0275496i
\(580\) 0.566377 0.553838i 0.0235175 0.0229969i
\(581\) 18.6710 + 32.3392i 0.774605 + 1.34165i
\(582\) −0.161024 0.313597i −0.00667467 0.0129990i
\(583\) 1.07140 6.07622i 0.0443729 0.251651i
\(584\) 14.4819 + 23.5972i 0.599265 + 0.976457i
\(585\) −2.27412 + 2.71019i −0.0940231 + 0.112052i
\(586\) −33.7181 14.1881i −1.39288 0.586104i
\(587\) −13.7736 + 37.8426i −0.568497 + 1.56193i 0.238354 + 0.971178i \(0.423392\pi\)
−0.806851 + 0.590754i \(0.798830\pi\)
\(588\) −0.0885280 0.195534i −0.00365083 0.00806367i
\(589\) −20.1538 + 24.0531i −0.830421 + 0.991092i
\(590\) 7.45825 + 4.81032i 0.307051 + 0.198038i
\(591\) −0.104810 0.0381476i −0.00431130 0.00156918i
\(592\) 18.2972 30.1141i 0.752010 1.23768i
\(593\) 26.7671 + 22.4603i 1.09919 + 0.922332i 0.997371 0.0724705i \(-0.0230883\pi\)
0.101822 + 0.994803i \(0.467533\pi\)
\(594\) 0.0391516 + 0.310818i 0.00160641 + 0.0127530i
\(595\) 11.6613 + 2.05621i 0.478068 + 0.0842963i
\(596\) −30.0490 2.96821i −1.23085 0.121583i
\(597\) −0.349835 + 0.201977i −0.0143178 + 0.00826639i
\(598\) −3.78414 0.861171i −0.154745 0.0352159i
\(599\) −30.0126 + 10.9237i −1.22628 + 0.446331i −0.872323 0.488930i \(-0.837387\pi\)
−0.353960 + 0.935261i \(0.615165\pi\)
\(600\) 0.568036 0.224191i 0.0231900 0.00915255i
\(601\) −30.8953 17.8374i −1.26024 0.727602i −0.287122 0.957894i \(-0.592699\pi\)
−0.973122 + 0.230292i \(0.926032\pi\)
\(602\) 29.1679 31.4757i 1.18880 1.28285i
\(603\) 21.6155 18.1375i 0.880251 0.738618i
\(604\) 3.39711 12.1333i 0.138226 0.493697i
\(605\) 1.37039 + 7.77185i 0.0557142 + 0.315971i
\(606\) 0.331383 + 0.436908i 0.0134615 + 0.0177482i
\(607\) 15.1801 0.616142 0.308071 0.951363i \(-0.400317\pi\)
0.308071 + 0.951363i \(0.400317\pi\)
\(608\) 1.74684 24.5957i 0.0708436 0.997487i
\(609\) −0.0774107 −0.00313684
\(610\) −2.39561 3.15847i −0.0969955 0.127883i
\(611\) 2.87244 + 16.2904i 0.116207 + 0.659040i
\(612\) 8.33687 29.7764i 0.336998 1.20364i
\(613\) −25.6192 + 21.4971i −1.03475 + 0.868260i −0.991409 0.130801i \(-0.958245\pi\)
−0.0433427 + 0.999060i \(0.513801\pi\)
\(614\) 1.94208 2.09574i 0.0783758 0.0845770i
\(615\) −0.0832649 0.0480730i −0.00335757 0.00193849i
\(616\) 6.04367 2.38530i 0.243506 0.0961064i
\(617\) −12.4136 + 4.51818i −0.499752 + 0.181895i −0.579583 0.814914i \(-0.696784\pi\)
0.0798303 + 0.996808i \(0.474562\pi\)
\(618\) −0.437047 0.0994603i −0.0175806 0.00400088i
\(619\) 26.2189 15.1375i 1.05383 0.608427i 0.130109 0.991500i \(-0.458467\pi\)
0.923718 + 0.383072i \(0.125134\pi\)
\(620\) −10.8452 1.07128i −0.435555 0.0430237i
\(621\) 0.506946 + 0.0893883i 0.0203430 + 0.00358703i
\(622\) 4.87042 + 38.6655i 0.195286 + 1.55035i
\(623\) −30.8174 25.8589i −1.23467 1.03602i
\(624\) −0.157951 + 0.259962i −0.00632312 + 0.0104068i
\(625\) −15.7256 5.72365i −0.629024 0.228946i
\(626\) −19.3332 12.4693i −0.772709 0.498372i
\(627\) 0.0805960 + 0.139367i 0.00321869 + 0.00556577i
\(628\) −0.631986 1.39588i −0.0252190 0.0557017i
\(629\) 15.5398 42.6951i 0.619611 1.70237i
\(630\) −8.97090 3.77483i −0.357409 0.150393i
\(631\) −5.39835 + 6.43350i −0.214905 + 0.256114i −0.862718 0.505686i \(-0.831239\pi\)
0.647813 + 0.761800i \(0.275684\pi\)
\(632\) 22.4047 + 36.5067i 0.891211 + 1.45216i
\(633\) 0.117187 0.664601i 0.00465777 0.0264155i
\(634\) −2.04867 3.98982i −0.0813630 0.158456i
\(635\) 1.30602 + 2.26210i 0.0518279 + 0.0897686i
\(636\) −0.568154 + 0.555576i −0.0225288 + 0.0220300i
\(637\) −1.17360 3.22443i −0.0464996 0.127757i
\(638\) 0.0275803 0.559783i 0.00109191 0.0221620i
\(639\) −13.5033 + 23.3885i −0.534184 + 0.925234i
\(640\) 7.39688 4.31466i 0.292387 0.170552i
\(641\) 8.67553 + 10.3391i 0.342663 + 0.408370i 0.909662 0.415348i \(-0.136340\pi\)
−0.567000 + 0.823718i \(0.691896\pi\)
\(642\) −0.271930 0.879586i −0.0107322 0.0347145i
\(643\) 32.2342 5.68376i 1.27119 0.224146i 0.502957 0.864312i \(-0.332246\pi\)
0.768237 + 0.640166i \(0.221134\pi\)
\(644\) −0.811401 10.6455i −0.0319737 0.419490i
\(645\) 0.369271i 0.0145400i
\(646\) −3.99596 31.5419i −0.157219 1.24100i
\(647\) 27.0952i 1.06522i −0.846360 0.532611i \(-0.821211\pi\)
0.846360 0.532611i \(-0.178789\pi\)
\(648\) −12.1028 + 22.3259i −0.475442 + 0.877043i
\(649\) 6.18372 1.09036i 0.242732 0.0428002i
\(650\) 9.32708 2.88353i 0.365838 0.113101i
\(651\) 0.684546 + 0.815810i 0.0268295 + 0.0319741i
\(652\) −6.26068 24.4570i −0.245187 0.957809i
\(653\) 17.7481 30.7407i 0.694539 1.20298i −0.275797 0.961216i \(-0.588942\pi\)
0.970336 0.241760i \(-0.0777248\pi\)
\(654\) −0.826300 0.0407115i −0.0323109 0.00159195i
\(655\) −3.86865 10.6290i −0.151161 0.415311i
\(656\) 9.70805 + 3.78162i 0.379036 + 0.147648i
\(657\) −14.6714 25.4117i −0.572387 0.991403i
\(658\) −40.4815 + 20.7862i −1.57813 + 0.810332i
\(659\) 2.56553 14.5498i 0.0999388 0.566781i −0.893183 0.449694i \(-0.851533\pi\)
0.993122 0.117087i \(-0.0373558\pi\)
\(660\) −0.0241947 + 0.0504049i −0.000941777 + 0.00196201i
\(661\) −16.8005 + 20.0220i −0.653462 + 0.778766i −0.986432 0.164172i \(-0.947505\pi\)
0.332970 + 0.942938i \(0.391949\pi\)
\(662\) −0.934670 + 2.22125i −0.0363270 + 0.0863313i
\(663\) −0.134148 + 0.368568i −0.00520987 + 0.0143140i
\(664\) 34.4415 + 5.12395i 1.33659 + 0.198848i
\(665\) −10.0074 + 0.00713711i −0.388070 + 0.000276765i
\(666\) −20.2413 + 31.3836i −0.784336 + 1.21609i
\(667\) −0.865402 0.314981i −0.0335085 0.0121961i
\(668\) −21.9033 + 14.9743i −0.847465 + 0.579374i
\(669\) −0.349517 0.293280i −0.0135131 0.0113388i
\(670\) 9.99694 1.25925i 0.386216 0.0486489i
\(671\) −2.76210 0.487033i −0.106630 0.0188017i
\(672\) −0.811591 0.203907i −0.0313078 0.00786589i
\(673\) −8.55734 + 4.94058i −0.329861 + 0.190446i −0.655780 0.754952i \(-0.727660\pi\)
0.325918 + 0.945398i \(0.394327\pi\)
\(674\) 3.75470 16.4989i 0.144626 0.635512i
\(675\) −1.21683 + 0.442891i −0.0468360 + 0.0170469i
\(676\) 12.3168 17.1777i 0.473723 0.660682i
\(677\) −10.8961 6.29088i −0.418772 0.241778i 0.275780 0.961221i \(-0.411064\pi\)
−0.694552 + 0.719443i \(0.744397\pi\)
\(678\) −0.0391074 0.0362400i −0.00150191 0.00139179i
\(679\) 11.8764 9.96552i 0.455776 0.382442i
\(680\) 8.26486 7.32191i 0.316943 0.280783i
\(681\) −0.237283 1.34570i −0.00909270 0.0515673i
\(682\) −6.14329 + 4.65952i −0.235239 + 0.178422i
\(683\) 40.5886 1.55308 0.776540 0.630068i \(-0.216973\pi\)
0.776540 + 0.630068i \(0.216973\pi\)
\(684\) −2.55031 + 26.0079i −0.0975135 + 0.994438i
\(685\) −3.99595 −0.152678
\(686\) −16.4034 + 12.4415i −0.626283 + 0.475019i
\(687\) 0.179637 + 1.01877i 0.00685358 + 0.0388686i
\(688\) −6.06467 39.5527i −0.231213 1.50793i
\(689\) −9.73159 + 8.16577i −0.370744 + 0.311091i
\(690\) 0.0673866 + 0.0624459i 0.00256537 + 0.00237727i
\(691\) 20.0557 + 11.5792i 0.762956 + 0.440493i 0.830356 0.557233i \(-0.188137\pi\)
−0.0674004 + 0.997726i \(0.521470\pi\)
\(692\) 18.5059 + 13.2691i 0.703487 + 0.504415i
\(693\) −6.47074 + 2.35516i −0.245803 + 0.0894650i
\(694\) 1.70516 7.49280i 0.0647272 0.284423i
\(695\) −1.35235 + 0.780778i −0.0512975 + 0.0296166i
\(696\) −0.0448979 + 0.0565213i −0.00170185 + 0.00214243i
\(697\) 13.2298 + 2.33277i 0.501115 + 0.0883600i
\(698\) −10.0539 + 1.26642i −0.380547 + 0.0479348i
\(699\) 0.383096 + 0.321456i 0.0144900 + 0.0121586i
\(700\) 15.1573 + 22.1710i 0.572893 + 0.837986i
\(701\) 30.4371 + 11.0782i 1.14959 + 0.418418i 0.845369 0.534183i \(-0.179381\pi\)
0.304224 + 0.952601i \(0.401603\pi\)
\(702\) 0.349608 0.542055i 0.0131951 0.0204586i
\(703\) −6.64089 + 37.8200i −0.250466 + 1.42641i
\(704\) 1.76368 5.79624i 0.0664712 0.218454i
\(705\) 0.133932 0.367974i 0.00504416 0.0138587i
\(706\) 13.6386 32.4122i 0.513295 1.21985i
\(707\) −15.5018 + 18.4744i −0.583006 + 0.694800i
\(708\) −0.729065 0.349956i −0.0274000 0.0131522i
\(709\) 7.62702 43.2550i 0.286439 1.62448i −0.413661 0.910431i \(-0.635750\pi\)
0.700100 0.714045i \(-0.253139\pi\)
\(710\) −8.57890 + 4.40504i −0.321960 + 0.165318i
\(711\) −22.6979 39.3139i −0.851238 1.47439i
\(712\) −36.7548 + 7.50325i −1.37744 + 0.281196i
\(713\) 4.33329 + 11.9056i 0.162283 + 0.445869i
\(714\) −1.07769 0.0530976i −0.0403317 0.00198713i
\(715\) −0.446912 + 0.774075i −0.0167136 + 0.0289488i
\(716\) 13.7809 3.52774i 0.515016 0.131838i
\(717\) 0.130062 + 0.155001i 0.00485724 + 0.00578863i
\(718\) 11.2443 3.47624i 0.419632 0.129732i
\(719\) −12.5454 + 2.21209i −0.467864 + 0.0824971i −0.402610 0.915372i \(-0.631897\pi\)
−0.0652543 + 0.997869i \(0.520786\pi\)
\(720\) −7.95927 + 4.36071i −0.296624 + 0.162514i
\(721\) 19.7123i 0.734126i
\(722\) 7.97304 + 25.6599i 0.296726 + 0.954963i
\(723\) 0.361252i 0.0134351i
\(724\) 20.0546 1.52857i 0.745322 0.0568087i
\(725\) 2.28149 0.402289i 0.0847325 0.0149406i
\(726\) −0.212400 0.687031i −0.00788291 0.0254981i
\(727\) −14.5133 17.2962i −0.538267 0.641481i 0.426531 0.904473i \(-0.359735\pi\)
−0.964798 + 0.262991i \(0.915291\pi\)
\(728\) −12.6893 4.23642i −0.470296 0.157012i
\(729\) 13.4358 23.2715i 0.497623 0.861909i
\(730\) 0.515620 10.4653i 0.0190840 0.387337i
\(731\) −17.6468 48.4843i −0.652692 1.79326i
\(732\) 0.252551 + 0.258269i 0.00933456 + 0.00954590i
\(733\) 13.0679 + 22.6343i 0.482675 + 0.836017i 0.999802 0.0198913i \(-0.00633202\pi\)
−0.517127 + 0.855908i \(0.672999\pi\)
\(734\) 3.80025 + 7.40106i 0.140270 + 0.273178i
\(735\) −0.0141055 + 0.0799963i −0.000520289 + 0.00295071i
\(736\) −8.24337 5.58188i −0.303855 0.205751i
\(737\) 4.58232 5.46100i 0.168792 0.201159i
\(738\) −10.1775 4.28255i −0.374639 0.157643i
\(739\) −13.7325 + 37.7299i −0.505160 + 1.38792i 0.381017 + 0.924568i \(0.375574\pi\)
−0.886177 + 0.463347i \(0.846648\pi\)
\(740\) −12.1483 + 5.50015i −0.446580 + 0.202189i
\(741\) 0.0573278 0.326483i 0.00210599 0.0119937i
\(742\) −29.3691 18.9421i −1.07818 0.695387i
\(743\) 19.0012 + 6.91587i 0.697086 + 0.253719i 0.666166 0.745803i \(-0.267934\pi\)
0.0309197 + 0.999522i \(0.490156\pi\)
\(744\) 0.992695 0.0266538i 0.0363940 0.000977174i
\(745\) 8.75383 + 7.34534i 0.320716 + 0.269112i
\(746\) 3.72993 + 29.6113i 0.136562 + 1.08415i
\(747\) −36.3428 6.40822i −1.32972 0.234465i
\(748\) 0.767933 7.77425i 0.0280784 0.284255i
\(749\) 35.0652 20.2449i 1.28126 0.739733i
\(750\) −0.479857 0.109203i −0.0175219 0.00398752i
\(751\) 30.8187 11.2171i 1.12459 0.409318i 0.288265 0.957551i \(-0.406922\pi\)
0.836326 + 0.548233i \(0.184699\pi\)
\(752\) −8.30208 + 41.6134i −0.302746 + 1.51749i
\(753\) −0.332988 0.192251i −0.0121348 0.00700602i
\(754\) −0.784360 + 0.846419i −0.0285647 + 0.0308248i
\(755\) −3.65281 + 3.06507i −0.132939 + 0.111549i
\(756\) 1.70874 + 0.478416i 0.0621461 + 0.0173998i
\(757\) −0.0728195 0.412980i −0.00264667 0.0150100i 0.983456 0.181148i \(-0.0579814\pi\)
−0.986102 + 0.166138i \(0.946870\pi\)
\(758\) 10.2699 + 13.5402i 0.373019 + 0.491803i
\(759\) 0.0650003 0.00235936
\(760\) −5.79903 + 7.31101i −0.210353 + 0.265198i
\(761\) −5.25859 −0.190624 −0.0953119 0.995447i \(-0.530385\pi\)
−0.0953119 + 0.995447i \(0.530385\pi\)
\(762\) −0.143836 0.189638i −0.00521062 0.00686988i
\(763\) −6.31801 35.8312i −0.228727 1.29718i
\(764\) 16.6579 + 4.66391i 0.602660 + 0.168734i
\(765\) −8.96438 + 7.52201i −0.324108 + 0.271959i
\(766\) −17.0090 + 18.3548i −0.614560 + 0.663184i
\(767\) −11.1964 6.46422i −0.404277 0.233410i
\(768\) −0.619601 + 0.474316i −0.0223579 + 0.0171154i
\(769\) 0.0384186 0.0139832i 0.00138541 0.000504249i −0.341327 0.939944i \(-0.610876\pi\)
0.342713 + 0.939440i \(0.388654\pi\)
\(770\) −2.39761 0.545633i −0.0864038 0.0196632i
\(771\) 0.355027 0.204975i 0.0127860 0.00738200i