Properties

Label 177.4.e.a.4.6
Level $177$
Weight $4$
Character 177.4
Analytic conductor $10.443$
Analytic rank $0$
Dimension $420$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 177 = 3 \cdot 59 \)
Weight: \( k \) \(=\) \( 4 \)
Character orbit: \([\chi]\) \(=\) 177.e (of order \(29\), degree \(28\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(10.4433380710\)
Analytic rank: \(0\)
Dimension: \(420\)
Relative dimension: \(15\) over \(\Q(\zeta_{29})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{29}]$

Embedding invariants

Embedding label 4.6
Character \(\chi\) \(=\) 177.4
Dual form 177.4.e.a.133.6

$q$-expansion

\(f(q)\) \(=\) \(q+(-2.03313 - 0.221116i) q^{2} +(-1.94216 + 2.28649i) q^{3} +(-3.72826 - 0.820651i) q^{4} +(16.1269 + 12.2594i) q^{5} +(4.45423 - 4.21927i) q^{6} +(-2.36180 + 5.92767i) q^{7} +(22.9030 + 7.71693i) q^{8} +(-1.45604 - 8.88144i) q^{9} +O(q^{10})\) \(q+(-2.03313 - 0.221116i) q^{2} +(-1.94216 + 2.28649i) q^{3} +(-3.72826 - 0.820651i) q^{4} +(16.1269 + 12.2594i) q^{5} +(4.45423 - 4.21927i) q^{6} +(-2.36180 + 5.92767i) q^{7} +(22.9030 + 7.71693i) q^{8} +(-1.45604 - 8.88144i) q^{9} +(-30.0773 - 28.4907i) q^{10} +(9.15701 - 4.23648i) q^{11} +(9.11727 - 6.93077i) q^{12} +(4.88429 - 29.7928i) q^{13} +(6.11253 - 11.5295i) q^{14} +(-59.3519 + 13.0643i) q^{15} +(-17.1410 - 7.93027i) q^{16} +(13.2050 + 33.1420i) q^{17} +(0.996482 + 18.3790i) q^{18} +(24.5922 + 36.2708i) q^{19} +(-50.0646 - 58.9406i) q^{20} +(-8.96654 - 16.9127i) q^{21} +(-19.5541 + 6.58855i) q^{22} +(-4.67865 + 86.2927i) q^{23} +(-62.1260 + 37.3800i) q^{24} +(76.3443 + 274.967i) q^{25} +(-16.5180 + 59.4926i) q^{26} +(23.1351 + 13.9200i) q^{27} +(13.6699 - 20.1616i) q^{28} +(-80.0540 + 8.70639i) q^{29} +(123.559 - 13.4378i) q^{30} +(-183.374 + 270.457i) q^{31} +(-132.573 - 79.7665i) q^{32} +(-8.09771 + 29.1653i) q^{33} +(-19.5191 - 70.3016i) q^{34} +(-110.758 + 66.6408i) q^{35} +(-1.86008 + 34.3072i) q^{36} +(-11.7771 + 3.96816i) q^{37} +(-41.9790 - 79.1808i) q^{38} +(58.6349 + 69.0303i) q^{39} +(274.750 + 405.227i) q^{40} +(-10.8283 - 199.716i) q^{41} +(14.4904 + 36.3683i) q^{42} +(-17.4299 - 8.06392i) q^{43} +(-37.6164 + 8.27999i) q^{44} +(85.3993 - 161.080i) q^{45} +(28.5930 - 174.409i) q^{46} +(-49.3229 + 37.4943i) q^{47} +(51.4230 - 23.7908i) q^{48} +(219.457 + 207.881i) q^{49} +(-94.4180 - 575.924i) q^{50} +(-101.425 - 34.1740i) q^{51} +(-42.6594 + 107.067i) q^{52} +(-161.287 + 152.779i) q^{53} +(-43.9587 - 33.4166i) q^{54} +(199.611 + 43.9377i) q^{55} +(-99.8357 + 117.536i) q^{56} +(-130.695 - 14.2139i) q^{57} +164.685 q^{58} +(-448.795 - 62.9462i) q^{59} +232.000 q^{60} +(-28.2997 - 3.07777i) q^{61} +(432.625 - 509.326i) q^{62} +(56.0851 + 12.3453i) q^{63} +(372.184 + 282.927i) q^{64} +(444.010 - 420.588i) q^{65} +(22.9126 - 57.5062i) q^{66} +(-157.146 - 52.9486i) q^{67} +(-22.0335 - 134.398i) q^{68} +(-188.220 - 178.292i) q^{69} +(239.920 - 110.999i) q^{70} +(-365.568 + 277.898i) q^{71} +(35.1897 - 214.648i) q^{72} +(263.714 - 497.417i) q^{73} +(24.8217 - 5.46367i) q^{74} +(-776.982 - 359.470i) q^{75} +(-61.9204 - 155.409i) q^{76} +(3.48545 + 64.2854i) q^{77} +(-103.948 - 153.312i) q^{78} +(520.229 + 612.461i) q^{79} +(-179.211 - 338.028i) q^{80} +(-76.7599 + 25.8634i) q^{81} +(-22.1451 + 408.442i) q^{82} +(451.620 - 271.731i) q^{83} +(19.5501 + 70.4132i) q^{84} +(-193.344 + 696.362i) q^{85} +(33.6541 + 20.2490i) q^{86} +(135.570 - 199.951i) q^{87} +(242.416 - 26.3643i) q^{88} +(1223.98 - 133.116i) q^{89} +(-209.245 + 308.613i) q^{90} +(165.066 + 99.3171i) q^{91} +(88.2595 - 317.882i) q^{92} +(-262.254 - 944.553i) q^{93} +(108.570 - 65.3246i) q^{94} +(-48.0603 + 886.421i) q^{95} +(439.863 - 148.207i) q^{96} +(-745.126 - 1405.46i) q^{97} +(-400.219 - 471.174i) q^{98} +(-50.9590 - 75.1589i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 420q - 2q^{2} + 45q^{3} - 64q^{4} + 14q^{5} + 6q^{6} + 6q^{7} + 18q^{8} - 135q^{9} + O(q^{10}) \) \( 420q - 2q^{2} + 45q^{3} - 64q^{4} + 14q^{5} + 6q^{6} + 6q^{7} + 18q^{8} - 135q^{9} + 854q^{10} + 32q^{11} + 192q^{12} - 22q^{13} - 884q^{14} - 42q^{15} - 268q^{16} - 56q^{17} - 18q^{18} - 112q^{19} - 250q^{20} + 243q^{21} + 108q^{22} + 16q^{23} - 54q^{24} - 197q^{25} - 328q^{26} + 405q^{27} + 236q^{28} - 54q^{29} - 126q^{30} + 66q^{31} + 857q^{32} - 96q^{33} + 112q^{34} + 532q^{35} - 576q^{36} + 110q^{37} + 56q^{38} + 66q^{39} - 6044q^{40} + 304q^{41} - 306q^{42} - 324q^{43} - 568q^{44} + 126q^{45} + 5842q^{46} + 4082q^{47} + 804q^{48} + 739q^{49} + 576q^{50} + 168q^{51} - 1372q^{52} - 1498q^{53} + 54q^{54} - 4422q^{55} - 12036q^{56} + 336q^{57} + 6298q^{58} - 3305q^{59} + 750q^{60} - 1718q^{61} - 4333q^{62} + 54q^{63} - 6250q^{64} - 5884q^{65} - 324q^{66} + 382q^{67} + 734q^{68} + 3780q^{69} + 8082q^{70} + 8638q^{71} + 162q^{72} + 8894q^{73} + 12428q^{74} + 243q^{75} - 15468q^{76} - 9916q^{77} + 984q^{78} - 578q^{79} + 24570q^{80} - 1215q^{81} - 1382q^{82} - 32q^{83} + 7557q^{84} + 708q^{85} + 2296q^{86} - 5928q^{87} - 17646q^{88} - 2284q^{89} + 378q^{90} + 11124q^{91} + 762q^{92} - 198q^{93} - 1232q^{94} + 24184q^{95} - 396q^{96} - 658q^{97} - 4356q^{98} + 288q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/177\mathbb{Z}\right)^\times\).

\(n\) \(61\) \(119\)
\(\chi(n)\) \(e\left(\frac{1}{29}\right)\) \(1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −2.03313 0.221116i −0.718818 0.0781762i −0.258603 0.965984i \(-0.583262\pi\)
−0.460215 + 0.887807i \(0.652228\pi\)
\(3\) −1.94216 + 2.28649i −0.373769 + 0.440034i
\(4\) −3.72826 0.820651i −0.466032 0.102581i
\(5\) 16.1269 + 12.2594i 1.44243 + 1.09651i 0.977444 + 0.211195i \(0.0677354\pi\)
0.464991 + 0.885316i \(0.346058\pi\)
\(6\) 4.45423 4.21927i 0.303072 0.287085i
\(7\) −2.36180 + 5.92767i −0.127525 + 0.320064i −0.978851 0.204573i \(-0.934419\pi\)
0.851326 + 0.524637i \(0.175799\pi\)
\(8\) 22.9030 + 7.71693i 1.01218 + 0.341043i
\(9\) −1.45604 8.88144i −0.0539273 0.328942i
\(10\) −30.0773 28.4907i −0.951128 0.900956i
\(11\) 9.15701 4.23648i 0.250995 0.116123i −0.290358 0.956918i \(-0.593774\pi\)
0.541353 + 0.840796i \(0.317912\pi\)
\(12\) 9.11727 6.93077i 0.219328 0.166728i
\(13\) 4.88429 29.7928i 0.104204 0.635619i −0.882148 0.470972i \(-0.843903\pi\)
0.986353 0.164647i \(-0.0526485\pi\)
\(14\) 6.11253 11.5295i 0.116689 0.220098i
\(15\) −59.3519 + 13.0643i −1.02164 + 0.224880i
\(16\) −17.1410 7.93027i −0.267828 0.123910i
\(17\) 13.2050 + 33.1420i 0.188393 + 0.472830i 0.992587 0.121537i \(-0.0387822\pi\)
−0.804194 + 0.594366i \(0.797403\pi\)
\(18\) 0.996482 + 18.3790i 0.0130485 + 0.240666i
\(19\) 24.5922 + 36.2708i 0.296939 + 0.437952i 0.946667 0.322215i \(-0.104427\pi\)
−0.649727 + 0.760167i \(0.725117\pi\)
\(20\) −50.0646 58.9406i −0.559739 0.658976i
\(21\) −8.96654 16.9127i −0.0931743 0.175745i
\(22\) −19.5541 + 6.58855i −0.189498 + 0.0638492i
\(23\) −4.67865 + 86.2927i −0.0424160 + 0.782316i 0.897522 + 0.440970i \(0.145366\pi\)
−0.939938 + 0.341346i \(0.889117\pi\)
\(24\) −62.1260 + 37.3800i −0.528392 + 0.317923i
\(25\) 76.3443 + 274.967i 0.610754 + 2.19974i
\(26\) −16.5180 + 59.4926i −0.124594 + 0.448748i
\(27\) 23.1351 + 13.9200i 0.164902 + 0.0992184i
\(28\) 13.6699 20.1616i 0.0922634 0.136078i
\(29\) −80.0540 + 8.70639i −0.512609 + 0.0557495i −0.360768 0.932655i \(-0.617485\pi\)
−0.151840 + 0.988405i \(0.548520\pi\)
\(30\) 123.559 13.4378i 0.751953 0.0817799i
\(31\) −183.374 + 270.457i −1.06242 + 1.56695i −0.264310 + 0.964438i \(0.585144\pi\)
−0.798109 + 0.602513i \(0.794166\pi\)
\(32\) −132.573 79.7665i −0.732369 0.440652i
\(33\) −8.09771 + 29.1653i −0.0427161 + 0.153849i
\(34\) −19.5191 70.3016i −0.0984560 0.354607i
\(35\) −110.758 + 66.6408i −0.534900 + 0.321839i
\(36\) −1.86008 + 34.3072i −0.00861149 + 0.158830i
\(37\) −11.7771 + 3.96816i −0.0523281 + 0.0176314i −0.345344 0.938476i \(-0.612238\pi\)
0.293016 + 0.956108i \(0.405341\pi\)
\(38\) −41.9790 79.1808i −0.179208 0.338022i
\(39\) 58.6349 + 69.0303i 0.240746 + 0.283428i
\(40\) 274.750 + 405.227i 1.08605 + 1.60180i
\(41\) −10.8283 199.716i −0.0412462 0.760742i −0.943871 0.330314i \(-0.892845\pi\)
0.902625 0.430428i \(-0.141637\pi\)
\(42\) 14.4904 + 36.3683i 0.0532363 + 0.133613i
\(43\) −17.4299 8.06392i −0.0618147 0.0285985i 0.388738 0.921348i \(-0.372911\pi\)
−0.450553 + 0.892750i \(0.648773\pi\)
\(44\) −37.6164 + 8.27999i −0.128884 + 0.0283694i
\(45\) 85.3993 161.080i 0.282902 0.533609i
\(46\) 28.5930 174.409i 0.0916479 0.559027i
\(47\) −49.3229 + 37.4943i −0.153074 + 0.116364i −0.678908 0.734223i \(-0.737546\pi\)
0.525834 + 0.850587i \(0.323753\pi\)
\(48\) 51.4230 23.7908i 0.154631 0.0715397i
\(49\) 219.457 + 207.881i 0.639817 + 0.606067i
\(50\) −94.4180 575.924i −0.267054 1.62896i
\(51\) −101.425 34.1740i −0.278477 0.0938297i
\(52\) −42.6594 + 107.067i −0.113765 + 0.285529i
\(53\) −161.287 + 152.779i −0.418009 + 0.395959i −0.867590 0.497281i \(-0.834332\pi\)
0.449581 + 0.893240i \(0.351573\pi\)
\(54\) −43.9587 33.4166i −0.110778 0.0842114i
\(55\) 199.611 + 43.9377i 0.489373 + 0.107719i
\(56\) −99.8357 + 117.536i −0.238234 + 0.280471i
\(57\) −130.695 14.2139i −0.303701 0.0330294i
\(58\) 164.685 0.372831
\(59\) −448.795 62.9462i −0.990307 0.138897i
\(60\) 232.000 0.499185
\(61\) −28.2997 3.07777i −0.0594000 0.00646014i 0.0783708 0.996924i \(-0.475028\pi\)
−0.137771 + 0.990464i \(0.543994\pi\)
\(62\) 432.625 509.326i 0.886185 1.04330i
\(63\) 56.0851 + 12.3453i 0.112160 + 0.0246882i
\(64\) 372.184 + 282.927i 0.726921 + 0.552591i
\(65\) 444.010 420.588i 0.847271 0.802578i
\(66\) 22.9126 57.5062i 0.0427324 0.107250i
\(67\) −157.146 52.9486i −0.286544 0.0965478i 0.172359 0.985034i \(-0.444861\pi\)
−0.458903 + 0.888486i \(0.651758\pi\)
\(68\) −22.0335 134.398i −0.0392934 0.239679i
\(69\) −188.220 178.292i −0.328392 0.311070i
\(70\) 239.920 110.999i 0.409656 0.189527i
\(71\) −365.568 + 277.898i −0.611056 + 0.464512i −0.864360 0.502874i \(-0.832276\pi\)
0.253304 + 0.967387i \(0.418483\pi\)
\(72\) 35.1897 214.648i 0.0575993 0.351340i
\(73\) 263.714 497.417i 0.422813 0.797510i −0.577002 0.816743i \(-0.695778\pi\)
0.999815 + 0.0192328i \(0.00612235\pi\)
\(74\) 24.8217 5.46367i 0.0389928 0.00858296i
\(75\) −776.982 359.470i −1.19624 0.553440i
\(76\) −61.9204 155.409i −0.0934574 0.234560i
\(77\) 3.48545 + 64.2854i 0.00515850 + 0.0951429i
\(78\) −103.948 153.312i −0.150895 0.222554i
\(79\) 520.229 + 612.461i 0.740890 + 0.872244i 0.995496 0.0948013i \(-0.0302216\pi\)
−0.254606 + 0.967045i \(0.581946\pi\)
\(80\) −179.211 338.028i −0.250455 0.472409i
\(81\) −76.7599 + 25.8634i −0.105295 + 0.0354779i
\(82\) −22.1451 + 408.442i −0.0298234 + 0.550060i
\(83\) 451.620 271.731i 0.597250 0.359353i −0.184606 0.982813i \(-0.559101\pi\)
0.781856 + 0.623459i \(0.214273\pi\)
\(84\) 19.5501 + 70.4132i 0.0253940 + 0.0914609i
\(85\) −193.344 + 696.362i −0.246719 + 0.888600i
\(86\) 33.6541 + 20.2490i 0.0421978 + 0.0253896i
\(87\) 135.570 199.951i 0.167065 0.246403i
\(88\) 242.416 26.3643i 0.293655 0.0319369i
\(89\) 1223.98 133.116i 1.45778 0.158543i 0.655363 0.755314i \(-0.272515\pi\)
0.802412 + 0.596771i \(0.203550\pi\)
\(90\) −209.245 + 308.613i −0.245071 + 0.361452i
\(91\) 165.066 + 99.3171i 0.190150 + 0.114409i
\(92\) 88.2595 317.882i 0.100018 0.360233i
\(93\) −262.254 944.553i −0.292413 1.05318i
\(94\) 108.570 65.3246i 0.119129 0.0716778i
\(95\) −48.0603 + 886.421i −0.0519041 + 0.957314i
\(96\) 439.863 148.207i 0.467639 0.157566i
\(97\) −745.126 1405.46i −0.779960 1.47116i −0.879383 0.476115i \(-0.842045\pi\)
0.0994232 0.995045i \(-0.468300\pi\)
\(98\) −400.219 471.174i −0.412532 0.485671i
\(99\) −50.9590 75.1589i −0.0517331 0.0763006i
\(100\) −58.9788 1087.80i −0.0589788 1.08780i
\(101\) −394.654 990.507i −0.388807 0.975833i −0.984932 0.172941i \(-0.944673\pi\)
0.596125 0.802892i \(-0.296706\pi\)
\(102\) 198.653 + 91.9066i 0.192839 + 0.0892168i
\(103\) −926.836 + 204.012i −0.886640 + 0.195164i −0.634866 0.772622i \(-0.718945\pi\)
−0.251774 + 0.967786i \(0.581014\pi\)
\(104\) 341.774 644.655i 0.322247 0.607823i
\(105\) 62.7361 382.673i 0.0583087 0.355668i
\(106\) 361.698 274.956i 0.331427 0.251944i
\(107\) 142.618 65.9821i 0.128854 0.0596143i −0.354403 0.935093i \(-0.615316\pi\)
0.483257 + 0.875479i \(0.339454\pi\)
\(108\) −74.8303 70.8830i −0.0666718 0.0631549i
\(109\) −81.0291 494.256i −0.0712035 0.434322i −0.998238 0.0593450i \(-0.981099\pi\)
0.927034 0.374977i \(-0.122349\pi\)
\(110\) −396.119 133.468i −0.343349 0.115688i
\(111\) 13.7998 34.6349i 0.0118002 0.0296162i
\(112\) 87.4915 82.8764i 0.0738140 0.0699204i
\(113\) 1502.13 + 1141.89i 1.25052 + 0.950620i 0.999848 0.0174517i \(-0.00555534\pi\)
0.250672 + 0.968072i \(0.419348\pi\)
\(114\) 262.576 + 57.7973i 0.215724 + 0.0474843i
\(115\) −1133.35 + 1334.28i −0.919000 + 1.08193i
\(116\) 305.607 + 33.2367i 0.244611 + 0.0266030i
\(117\) −271.715 −0.214701
\(118\) 898.538 + 227.213i 0.700992 + 0.177260i
\(119\) −227.642 −0.175361
\(120\) −1460.15 158.801i −1.11078 0.120804i
\(121\) −795.768 + 936.851i −0.597872 + 0.703870i
\(122\) 56.8562 + 12.5150i 0.0421928 + 0.00928733i
\(123\) 477.678 + 363.122i 0.350169 + 0.266192i
\(124\) 905.617 857.846i 0.655861 0.621265i
\(125\) −1202.46 + 3017.95i −0.860412 + 2.15947i
\(126\) −111.298 37.5008i −0.0786924 0.0265145i
\(127\) 200.706 + 1224.25i 0.140234 + 0.855392i 0.959444 + 0.281898i \(0.0909641\pi\)
−0.819210 + 0.573494i \(0.805588\pi\)
\(128\) 204.472 + 193.686i 0.141195 + 0.133747i
\(129\) 52.2897 24.1918i 0.0356887 0.0165114i
\(130\) −995.726 + 756.931i −0.671776 + 0.510671i
\(131\) −274.580 + 1674.86i −0.183131 + 1.11705i 0.721993 + 0.691900i \(0.243226\pi\)
−0.905124 + 0.425148i \(0.860222\pi\)
\(132\) 54.1249 102.090i 0.0356891 0.0673168i
\(133\) −273.083 + 60.1101i −0.178040 + 0.0391896i
\(134\) 307.790 + 142.399i 0.198425 + 0.0918013i
\(135\) 202.449 + 508.108i 0.129067 + 0.323933i
\(136\) 46.6795 + 860.953i 0.0294319 + 0.542839i
\(137\) 897.826 + 1324.19i 0.559901 + 0.825792i 0.997297 0.0734767i \(-0.0234095\pi\)
−0.437396 + 0.899269i \(0.644099\pi\)
\(138\) 343.253 + 404.108i 0.211736 + 0.249275i
\(139\) 1317.17 + 2484.45i 0.803750 + 1.51603i 0.855752 + 0.517386i \(0.173095\pi\)
−0.0520026 + 0.998647i \(0.516560\pi\)
\(140\) 467.623 157.560i 0.282295 0.0951163i
\(141\) 10.0627 185.596i 0.00601018 0.110851i
\(142\) 804.693 484.168i 0.475552 0.286130i
\(143\) −81.4914 293.506i −0.0476549 0.171638i
\(144\) −45.4742 + 163.783i −0.0263161 + 0.0947821i
\(145\) −1397.76 841.003i −0.800534 0.481666i
\(146\) −646.150 + 953.000i −0.366272 + 0.540211i
\(147\) −901.538 + 98.0482i −0.505834 + 0.0550128i
\(148\) 47.1644 5.12944i 0.0261952 0.00284890i
\(149\) 1983.71 2925.75i 1.09068 1.60864i 0.350043 0.936734i \(-0.386167\pi\)
0.740639 0.671903i \(-0.234523\pi\)
\(150\) 1500.22 + 902.651i 0.816615 + 0.491341i
\(151\) −28.0497 + 101.026i −0.0151169 + 0.0544462i −0.970724 0.240198i \(-0.922787\pi\)
0.955607 + 0.294645i \(0.0952013\pi\)
\(152\) 283.337 + 1020.49i 0.151195 + 0.544556i
\(153\) 275.121 165.535i 0.145374 0.0874687i
\(154\) 7.12815 131.471i 0.00372989 0.0687938i
\(155\) −6272.89 + 2113.58i −3.25065 + 1.09527i
\(156\) −161.956 305.481i −0.0831209 0.156783i
\(157\) 2196.32 + 2585.70i 1.11647 + 1.31441i 0.944207 + 0.329353i \(0.106831\pi\)
0.172259 + 0.985052i \(0.444893\pi\)
\(158\) −922.266 1360.24i −0.464377 0.684905i
\(159\) −36.0824 665.501i −0.0179970 0.331935i
\(160\) −1160.11 2911.65i −0.573215 1.43866i
\(161\) −500.464 231.539i −0.244982 0.113341i
\(162\) 161.781 35.6108i 0.0784614 0.0172707i
\(163\) 1392.02 2625.62i 0.668903 1.26168i −0.284121 0.958788i \(-0.591702\pi\)
0.953024 0.302896i \(-0.0979534\pi\)
\(164\) −123.527 + 753.479i −0.0588159 + 0.358761i
\(165\) −488.139 + 371.074i −0.230312 + 0.175079i
\(166\) −978.284 + 452.603i −0.457407 + 0.211619i
\(167\) −2702.20 2559.66i −1.25211 1.18606i −0.974257 0.225439i \(-0.927618\pi\)
−0.277853 0.960624i \(-0.589623\pi\)
\(168\) −74.8469 456.546i −0.0343724 0.209662i
\(169\) 1218.24 + 410.472i 0.554500 + 0.186833i
\(170\) 547.069 1373.04i 0.246813 0.619455i
\(171\) 286.330 271.226i 0.128048 0.121293i
\(172\) 58.3654 + 44.3682i 0.0258740 + 0.0196689i
\(173\) 311.213 + 68.5032i 0.136769 + 0.0301052i 0.282827 0.959171i \(-0.408728\pi\)
−0.146058 + 0.989276i \(0.546659\pi\)
\(174\) −319.844 + 376.550i −0.139352 + 0.164058i
\(175\) −1810.22 196.874i −0.781943 0.0850415i
\(176\) −190.557 −0.0816122
\(177\) 1015.56 903.912i 0.431265 0.383854i
\(178\) −2517.95 −1.06027
\(179\) 1190.40 + 129.463i 0.497064 + 0.0540590i 0.353218 0.935541i \(-0.385087\pi\)
0.143846 + 0.989600i \(0.454053\pi\)
\(180\) −450.581 + 530.465i −0.186580 + 0.219659i
\(181\) 2207.57 + 485.924i 0.906562 + 0.199549i 0.643694 0.765283i \(-0.277401\pi\)
0.262867 + 0.964832i \(0.415332\pi\)
\(182\) −313.640 238.423i −0.127739 0.0971048i
\(183\) 61.9997 58.7292i 0.0250445 0.0237234i
\(184\) −773.070 + 1940.26i −0.309736 + 0.777379i
\(185\) −238.575 80.3853i −0.0948129 0.0319462i
\(186\) 324.339 + 1978.38i 0.127859 + 0.779904i
\(187\) 261.323 + 247.539i 0.102192 + 0.0968012i
\(188\) 214.658 99.3115i 0.0832743 0.0385268i
\(189\) −137.153 + 104.261i −0.0527854 + 0.0401264i
\(190\) 293.714 1791.58i 0.112149 0.684078i
\(191\) 2289.65 4318.73i 0.867398 1.63609i 0.0999342 0.994994i \(-0.468137\pi\)
0.767464 0.641092i \(-0.221518\pi\)
\(192\) −1369.75 + 301.504i −0.514859 + 0.113329i
\(193\) −3631.54 1680.13i −1.35442 0.626623i −0.397671 0.917528i \(-0.630181\pi\)
−0.956752 + 0.290905i \(0.906044\pi\)
\(194\) 1204.17 + 3022.23i 0.445640 + 1.11847i
\(195\) 99.3320 + 1832.07i 0.0364785 + 0.672807i
\(196\) −647.595 955.132i −0.236004 0.348080i
\(197\) −672.066 791.217i −0.243059 0.286152i 0.627083 0.778953i \(-0.284249\pi\)
−0.870142 + 0.492801i \(0.835973\pi\)
\(198\) 86.9873 + 164.075i 0.0312218 + 0.0588906i
\(199\) 1409.87 475.040i 0.502225 0.169219i −0.0567748 0.998387i \(-0.518082\pi\)
0.559000 + 0.829168i \(0.311185\pi\)
\(200\) −373.388 + 6886.73i −0.132012 + 2.43483i
\(201\) 426.269 256.477i 0.149585 0.0900026i
\(202\) 583.364 + 2101.09i 0.203195 + 0.731842i
\(203\) 137.463 495.096i 0.0475270 0.171177i
\(204\) 350.093 + 210.644i 0.120154 + 0.0722942i
\(205\) 2273.76 3353.55i 0.774666 1.14255i
\(206\) 1929.49 209.844i 0.652590 0.0709735i
\(207\) 773.216 84.0923i 0.259624 0.0282358i
\(208\) −319.987 + 471.945i −0.106669 + 0.157325i
\(209\) 378.852 + 227.948i 0.125386 + 0.0754424i
\(210\) −212.166 + 764.151i −0.0697182 + 0.251102i
\(211\) 163.149 + 587.608i 0.0532304 + 0.191719i 0.985385 0.170342i \(-0.0544872\pi\)
−0.932155 + 0.362060i \(0.882073\pi\)
\(212\) 726.697 437.239i 0.235423 0.141650i
\(213\) 74.5822 1375.59i 0.0239920 0.442506i
\(214\) −304.550 + 102.615i −0.0972832 + 0.0327785i
\(215\) −182.232 343.725i −0.0578051 0.109032i
\(216\) 422.446 + 497.341i 0.133073 + 0.156666i
\(217\) −1170.08 1725.75i −0.366039 0.539867i
\(218\) 55.4547 + 1022.80i 0.0172287 + 0.317765i
\(219\) 625.163 + 1569.04i 0.192898 + 0.484137i
\(220\) −708.143 327.622i −0.217014 0.100401i
\(221\) 1051.89 231.538i 0.320171 0.0704749i
\(222\) −35.7151 + 67.3658i −0.0107975 + 0.0203662i
\(223\) 274.777 1676.06i 0.0825130 0.503307i −0.912943 0.408087i \(-0.866196\pi\)
0.995456 0.0952204i \(-0.0303556\pi\)
\(224\) 785.940 597.456i 0.234432 0.178211i
\(225\) 2330.95 1078.41i 0.690650 0.319529i
\(226\) −2801.53 2653.75i −0.824581 0.781084i
\(227\) −15.2640 93.1064i −0.00446303 0.0272233i 0.984501 0.175378i \(-0.0561148\pi\)
−0.988964 + 0.148155i \(0.952667\pi\)
\(228\) 475.599 + 160.248i 0.138146 + 0.0465468i
\(229\) −745.711 + 1871.59i −0.215188 + 0.540080i −0.996456 0.0841150i \(-0.973194\pi\)
0.781268 + 0.624195i \(0.214573\pi\)
\(230\) 2599.26 2462.15i 0.745175 0.705868i
\(231\) −153.757 116.883i −0.0437942 0.0332915i
\(232\) −1900.66 418.368i −0.537865 0.118393i
\(233\) 2716.30 3197.88i 0.763738 0.899141i −0.233580 0.972338i \(-0.575044\pi\)
0.997318 + 0.0731961i \(0.0233199\pi\)
\(234\) 552.431 + 60.0805i 0.154331 + 0.0167845i
\(235\) −1255.08 −0.348394
\(236\) 1621.57 + 602.984i 0.447267 + 0.166317i
\(237\) −2410.75 −0.660739
\(238\) 462.825 + 50.3352i 0.126052 + 0.0137090i
\(239\) 2504.15 2948.12i 0.677742 0.797899i −0.310537 0.950561i \(-0.600509\pi\)
0.988278 + 0.152662i \(0.0487846\pi\)
\(240\) 1120.95 + 246.740i 0.301488 + 0.0663626i
\(241\) 3260.89 + 2478.86i 0.871586 + 0.662563i 0.942240 0.334938i \(-0.108715\pi\)
−0.0706537 + 0.997501i \(0.522509\pi\)
\(242\) 1825.05 1728.78i 0.484788 0.459215i
\(243\) 89.9436 225.741i 0.0237444 0.0595939i
\(244\) 102.983 + 34.6989i 0.0270196 + 0.00910397i
\(245\) 990.681 + 6042.88i 0.258336 + 1.57578i
\(246\) −890.888 843.894i −0.230898 0.218718i
\(247\) 1200.73 555.515i 0.309313 0.143104i
\(248\) −6286.92 + 4779.19i −1.60976 + 1.22371i
\(249\) −255.809 + 1560.37i −0.0651054 + 0.397126i
\(250\) 3112.08 5870.00i 0.787300 1.48500i
\(251\) −1592.10 + 350.447i −0.400368 + 0.0881277i −0.410590 0.911820i \(-0.634677\pi\)
0.0102220 + 0.999948i \(0.496746\pi\)
\(252\) −198.968 92.0526i −0.0497374 0.0230110i
\(253\) 322.735 + 810.004i 0.0801984 + 0.201283i
\(254\) −137.359 2533.44i −0.0339318 0.625835i
\(255\) −1216.72 1794.52i −0.298799 0.440696i
\(256\) −2794.18 3289.56i −0.682173 0.803116i
\(257\) 1203.76 + 2270.54i 0.292174 + 0.551098i 0.985531 0.169496i \(-0.0542140\pi\)
−0.693357 + 0.720594i \(0.743869\pi\)
\(258\) −111.661 + 37.6228i −0.0269445 + 0.00907867i
\(259\) 4.29315 79.1826i 0.00102998 0.0189968i
\(260\) −2000.54 + 1203.68i −0.477185 + 0.287113i
\(261\) 193.887 + 698.318i 0.0459820 + 0.165612i
\(262\) 928.593 3344.49i 0.218964 0.788638i
\(263\) −5609.45 3375.09i −1.31518 0.791320i −0.327063 0.945002i \(-0.606059\pi\)
−0.988120 + 0.153683i \(0.950887\pi\)
\(264\) −410.529 + 605.484i −0.0957056 + 0.141155i
\(265\) −4474.03 + 486.580i −1.03712 + 0.112794i
\(266\) 568.504 61.8285i 0.131042 0.0142517i
\(267\) −2072.80 + 3057.15i −0.475106 + 0.700730i
\(268\) 542.428 + 326.368i 0.123635 + 0.0743884i
\(269\) 1779.37 6408.71i 0.403309 1.45259i −0.431533 0.902097i \(-0.642027\pi\)
0.834842 0.550490i \(-0.185559\pi\)
\(270\) −299.253 1077.81i −0.0674517 0.242939i
\(271\) 6049.51 3639.87i 1.35602 0.815891i 0.362770 0.931879i \(-0.381831\pi\)
0.993251 + 0.115988i \(0.0370034\pi\)
\(272\) 36.4784 672.805i 0.00813172 0.149981i
\(273\) −547.672 + 184.532i −0.121416 + 0.0409099i
\(274\) −1532.59 2890.78i −0.337910 0.637366i
\(275\) 1863.98 + 2194.45i 0.408735 + 0.481201i
\(276\) 555.419 + 819.181i 0.121131 + 0.178655i
\(277\) −45.5218 839.599i −0.00987414 0.182118i −0.999310 0.0371456i \(-0.988173\pi\)
0.989436 0.144972i \(-0.0463093\pi\)
\(278\) −2128.63 5342.45i −0.459232 1.15259i
\(279\) 2669.05 + 1234.83i 0.572730 + 0.264973i
\(280\) −3050.95 + 671.566i −0.651176 + 0.143335i
\(281\) −2780.56 + 5244.69i −0.590299 + 1.11342i 0.390901 + 0.920433i \(0.372163\pi\)
−0.981201 + 0.192990i \(0.938181\pi\)
\(282\) −61.4970 + 375.115i −0.0129862 + 0.0792120i
\(283\) −774.844 + 589.021i −0.162755 + 0.123723i −0.683382 0.730061i \(-0.739491\pi\)
0.520627 + 0.853785i \(0.325698\pi\)
\(284\) 1590.99 736.070i 0.332422 0.153795i
\(285\) −1933.45 1831.46i −0.401851 0.380654i
\(286\) 100.784 + 614.753i 0.0208373 + 0.127102i
\(287\) 1209.42 + 407.502i 0.248746 + 0.0838122i
\(288\) −515.410 + 1293.58i −0.105454 + 0.264670i
\(289\) 2642.80 2503.39i 0.537919 0.509544i
\(290\) 2655.86 + 2018.93i 0.537784 + 0.408813i
\(291\) 4660.71 + 1025.90i 0.938886 + 0.206664i
\(292\) −1391.40 + 1638.08i −0.278854 + 0.328292i
\(293\) 3259.88 + 354.534i 0.649981 + 0.0706897i 0.427169 0.904172i \(-0.359511\pi\)
0.222812 + 0.974861i \(0.428476\pi\)
\(294\) 1854.62 0.367904
\(295\) −6465.99 6517.06i −1.27615 1.28623i
\(296\) −300.353 −0.0589785
\(297\) 270.820 + 29.4535i 0.0529111 + 0.00575443i
\(298\) −4680.06 + 5509.79i −0.909760 + 1.07105i
\(299\) 2548.05 + 560.869i 0.492835 + 0.108481i
\(300\) 2601.79 + 1977.83i 0.500714 + 0.380633i
\(301\) 88.9661 84.2732i 0.0170363 0.0161376i
\(302\) 79.3670 199.196i 0.0151227 0.0379551i
\(303\) 3031.26 + 1021.35i 0.574724 + 0.193647i
\(304\) −133.898 816.740i −0.0252617 0.154090i
\(305\) −418.654 396.571i −0.0785970 0.0744510i
\(306\) −595.959 + 275.720i −0.111336 + 0.0515093i
\(307\) −3436.40 + 2612.28i −0.638846 + 0.485638i −0.873747 0.486381i \(-0.838317\pi\)
0.234901 + 0.972019i \(0.424524\pi\)
\(308\) 39.7612 242.533i 0.00735587 0.0448688i
\(309\) 1333.59 2515.42i 0.245519 0.463098i
\(310\) 13220.9 2910.14i 2.42225 0.533177i
\(311\) −6185.44 2861.69i −1.12779 0.521773i −0.234891 0.972022i \(-0.575473\pi\)
−0.892903 + 0.450249i \(0.851335\pi\)
\(312\) 810.214 + 2033.48i 0.147017 + 0.368985i
\(313\) 556.956 + 10272.4i 0.100578 + 1.85506i 0.420100 + 0.907478i \(0.361995\pi\)
−0.319522 + 0.947579i \(0.603522\pi\)
\(314\) −3893.65 5742.70i −0.699781 1.03210i
\(315\) 753.134 + 886.658i 0.134712 + 0.158595i
\(316\) −1436.93 2710.34i −0.255803 0.482495i
\(317\) −7904.04 + 2663.18i −1.40043 + 0.471859i −0.915366 0.402622i \(-0.868099\pi\)
−0.485060 + 0.874481i \(0.661202\pi\)
\(318\) −73.7927 + 1361.03i −0.0130129 + 0.240008i
\(319\) −696.171 + 418.872i −0.122188 + 0.0735183i
\(320\) 2533.67 + 9125.46i 0.442614 + 1.59415i
\(321\) −126.120 + 454.242i −0.0219293 + 0.0789823i
\(322\) 966.310 + 581.409i 0.167237 + 0.100623i
\(323\) −877.346 + 1293.99i −0.151136 + 0.222909i
\(324\) 307.405 33.4324i 0.0527101 0.00573257i
\(325\) 8564.95 931.494i 1.46184 0.158985i
\(326\) −3410.71 + 5030.42i −0.579453 + 0.854630i
\(327\) 1287.48 + 774.651i 0.217730 + 0.131004i
\(328\) 1293.19 4657.66i 0.217697 0.784074i
\(329\) −105.763 380.924i −0.0177231 0.0638329i
\(330\) 1074.50 646.504i 0.179240 0.107845i
\(331\) −350.504 + 6464.67i −0.0582038 + 1.07351i 0.812899 + 0.582405i \(0.197888\pi\)
−0.871102 + 0.491101i \(0.836594\pi\)
\(332\) −1906.75 + 642.459i −0.315201 + 0.106203i
\(333\) 52.3908 + 98.8196i 0.00862162 + 0.0162621i
\(334\) 4927.93 + 5801.61i 0.807318 + 0.950449i
\(335\) −1885.16 2780.41i −0.307455 0.453462i
\(336\) 19.5732 + 361.007i 0.00317800 + 0.0586148i
\(337\) −2100.85 5272.74i −0.339587 0.852298i −0.995260 0.0972530i \(-0.968994\pi\)
0.655673 0.755045i \(-0.272385\pi\)
\(338\) −2386.07 1103.91i −0.383979 0.177648i
\(339\) −5528.30 + 1216.87i −0.885711 + 0.194960i
\(340\) 1292.31 2437.55i 0.206133 0.388808i
\(341\) −533.374 + 3253.44i −0.0847033 + 0.516667i
\(342\) −642.117 + 488.124i −0.101525 + 0.0771776i
\(343\) −3736.91 + 1728.88i −0.588263 + 0.272160i
\(344\) −336.968 319.193i −0.0528143 0.0500284i
\(345\) −849.670 5182.76i −0.132593 0.808783i
\(346\) −617.588 208.090i −0.0959588 0.0323323i
\(347\) 3792.30 9517.95i 0.586689 1.47248i −0.273179 0.961963i \(-0.588075\pi\)
0.859868 0.510516i \(-0.170546\pi\)
\(348\) −669.532 + 634.214i −0.103134 + 0.0976938i
\(349\) 1777.07 + 1350.89i 0.272563 + 0.207197i 0.732522 0.680743i \(-0.238343\pi\)
−0.459960 + 0.887940i \(0.652136\pi\)
\(350\) 3636.88 + 800.538i 0.555427 + 0.122259i
\(351\) 527.714 621.273i 0.0802486 0.0944760i
\(352\) −1551.90 168.779i −0.234990 0.0255568i
\(353\) 3331.16 0.502265 0.251133 0.967953i \(-0.419197\pi\)
0.251133 + 0.967953i \(0.419197\pi\)
\(354\) −2264.62 + 1613.21i −0.340009 + 0.242207i
\(355\) −9302.33 −1.39075
\(356\) −4672.57 508.172i −0.695633 0.0756547i
\(357\) 442.117 520.500i 0.0655443 0.0771647i
\(358\) −2391.60 526.431i −0.353073 0.0777172i
\(359\) 10242.2 + 7785.92i 1.50575 + 1.14464i 0.949562 + 0.313580i \(0.101528\pi\)
0.556184 + 0.831059i \(0.312265\pi\)
\(360\) 3198.95 3030.20i 0.468332 0.443627i
\(361\) 1827.98 4587.89i 0.266509 0.668886i
\(362\) −4380.83 1476.07i −0.636053 0.214311i
\(363\) −596.588 3639.03i −0.0862610 0.526169i
\(364\) −533.905 505.742i −0.0768797 0.0728243i
\(365\) 10350.9 4788.83i 1.48436 0.686737i
\(366\) −139.039 + 105.695i −0.0198571 + 0.0150950i
\(367\) −1047.60 + 6390.06i −0.149003 + 0.908878i 0.801462 + 0.598046i \(0.204056\pi\)
−0.950465 + 0.310832i \(0.899392\pi\)
\(368\) 764.521 1442.04i 0.108297 0.204270i
\(369\) −1758.00 + 386.965i −0.248016 + 0.0545924i
\(370\) 467.278 + 216.186i 0.0656558 + 0.0303756i
\(371\) −524.696 1316.89i −0.0734255 0.184284i
\(372\) 202.601 + 3736.75i 0.0282375 + 0.520811i
\(373\) −3140.82 4632.36i −0.435993 0.643041i 0.544692 0.838636i \(-0.316647\pi\)
−0.980685 + 0.195595i \(0.937336\pi\)
\(374\) −476.569 561.060i −0.0658898 0.0775714i
\(375\) −4565.14 8610.76i −0.628647 1.18575i
\(376\) −1418.99 + 478.112i −0.194624 + 0.0655764i
\(377\) −131.618 + 2427.56i −0.0179806 + 0.331633i
\(378\) 301.904 181.650i 0.0410801 0.0247170i
\(379\) 970.843 + 3496.66i 0.131580 + 0.473909i 0.999750 0.0223584i \(-0.00711750\pi\)
−0.868170 + 0.496267i \(0.834704\pi\)
\(380\) 906.624 3265.36i 0.122392 0.440815i
\(381\) −3189.04 1918.78i −0.428817 0.258011i
\(382\) −5610.08 + 8274.25i −0.751405 + 1.10824i
\(383\) −11388.0 + 1238.52i −1.51932 + 0.165236i −0.829400 0.558655i \(-0.811318\pi\)
−0.689915 + 0.723890i \(0.742352\pi\)
\(384\) −839.977 + 91.3530i −0.111627 + 0.0121402i
\(385\) −731.888 + 1079.45i −0.0968844 + 0.142894i
\(386\) 7011.86 + 4218.90i 0.924597 + 0.556312i
\(387\) −46.2407 + 166.544i −0.00607376 + 0.0218757i
\(388\) 1624.63 + 5851.39i 0.212573 + 0.765617i
\(389\) 9677.75 5822.91i 1.26139 0.758954i 0.281708 0.959500i \(-0.409099\pi\)
0.979684 + 0.200546i \(0.0642716\pi\)
\(390\) 203.145 3746.79i 0.0263761 0.486478i
\(391\) −2921.69 + 984.432i −0.377893 + 0.127327i
\(392\) 3422.03 + 6454.64i 0.440915 + 0.831655i
\(393\) −3296.27 3880.67i −0.423091 0.498101i
\(394\) 1191.44 + 1757.25i 0.152345 + 0.224693i
\(395\) 881.308 + 16254.8i 0.112262 + 2.07055i
\(396\) 128.309 + 322.031i 0.0162823 + 0.0408654i
\(397\) −3527.35 1631.92i −0.445926 0.206307i 0.184058 0.982915i \(-0.441076\pi\)
−0.629984 + 0.776608i \(0.716939\pi\)
\(398\) −2971.48 + 654.071i −0.374238 + 0.0823760i
\(399\) 392.930 741.144i 0.0493010 0.0929915i
\(400\) 871.947 5318.64i 0.108993 0.664830i
\(401\) 6793.44 5164.24i 0.846005 0.643116i −0.0896731 0.995971i \(-0.528582\pi\)
0.935678 + 0.352855i \(0.114789\pi\)
\(402\) −923.369 + 427.196i −0.114561 + 0.0530015i
\(403\) 7162.02 + 6784.23i 0.885275 + 0.838577i
\(404\) 658.510 + 4016.74i 0.0810944 + 0.494654i
\(405\) −1554.97 523.930i −0.190783 0.0642822i
\(406\) −388.952 + 976.197i −0.0475453 + 0.119330i
\(407\) −91.0318 + 86.2299i −0.0110867 + 0.0105019i
\(408\) −2059.22 1565.38i −0.249869 0.189945i
\(409\) 11560.1 + 2544.57i 1.39758 + 0.307631i 0.848967 0.528446i \(-0.177225\pi\)
0.548613 + 0.836076i \(0.315156\pi\)
\(410\) −5364.37 + 6315.42i −0.646164 + 0.760723i
\(411\) −4771.47 518.929i −0.572651 0.0622795i
\(412\) 3622.91 0.433223
\(413\) 1433.09 2511.64i 0.170745 0.299249i
\(414\) −1590.64 −0.188830
\(415\) 10614.5 + 1154.39i 1.25553 + 0.136547i
\(416\) −3024.00 + 3560.12i −0.356403 + 0.419590i
\(417\) −8238.83 1813.50i −0.967523 0.212968i
\(418\) −719.851 547.216i −0.0842322 0.0640316i
\(419\) −78.1337 + 74.0122i −0.00910998 + 0.00862943i −0.692241 0.721666i \(-0.743376\pi\)
0.683131 + 0.730296i \(0.260618\pi\)
\(420\) −547.938 + 1375.22i −0.0636586 + 0.159771i
\(421\) −9997.16 3368.44i −1.15732 0.389947i −0.325799 0.945439i \(-0.605633\pi\)
−0.831522 + 0.555493i \(0.812530\pi\)
\(422\) −201.772 1230.76i −0.0232752 0.141972i
\(423\) 404.820 + 383.465i 0.0465319 + 0.0440774i
\(424\) −4872.94 + 2254.46i −0.558139 + 0.258223i
\(425\) −8104.83 + 6161.13i −0.925040 + 0.703197i
\(426\) −455.799 + 2780.25i −0.0518393 + 0.316206i
\(427\) 85.0821 160.482i 0.00964265 0.0181880i
\(428\) −585.865 + 128.959i −0.0661655 + 0.0145641i
\(429\) 829.366 + 383.705i 0.0933384 + 0.0431829i
\(430\) 294.497 + 739.131i 0.0330277 + 0.0828932i
\(431\) 430.956 + 7948.52i 0.0481634 + 0.888322i 0.918391 + 0.395673i \(0.129489\pi\)
−0.870228 + 0.492649i \(0.836029\pi\)
\(432\) −286.170 422.070i −0.0318712 0.0470066i
\(433\) −3129.23 3684.01i −0.347300 0.408874i 0.560582 0.828099i \(-0.310578\pi\)
−0.907882 + 0.419225i \(0.862302\pi\)
\(434\) 1997.34 + 3767.38i 0.220911 + 0.416682i
\(435\) 4637.61 1562.59i 0.511164 0.172231i
\(436\) −103.514 + 1909.21i −0.0113703 + 0.209712i
\(437\) −3244.97 + 1952.43i −0.355212 + 0.213724i
\(438\) −924.095 3328.29i −0.100810 0.363086i
\(439\) −3349.60 + 12064.2i −0.364163 + 1.31160i 0.523863 + 0.851803i \(0.324490\pi\)
−0.888026 + 0.459794i \(0.847923\pi\)
\(440\) 4232.63 + 2546.69i 0.458597 + 0.275929i
\(441\) 1526.74 2251.78i 0.164857 0.243146i
\(442\) −2189.82 + 238.157i −0.235654 + 0.0256289i
\(443\) 1032.80 112.324i 0.110767 0.0120467i −0.0525675 0.998617i \(-0.516740\pi\)
0.163335 + 0.986571i \(0.447775\pi\)
\(444\) −79.8725 + 117.803i −0.00853734 + 0.0125916i
\(445\) 21371.0 + 12858.5i 2.27659 + 1.36978i
\(446\) −929.259 + 3346.89i −0.0986585 + 0.355336i
\(447\) 2837.01 + 10218.0i 0.300193 + 1.08120i
\(448\) −2556.12 + 1537.96i −0.269565 + 0.162192i
\(449\) 386.983 7137.48i 0.0406745 0.750197i −0.905065 0.425272i \(-0.860178\pi\)
0.945740 0.324924i \(-0.105339\pi\)
\(450\) −4977.56 + 1677.13i −0.521432 + 0.175691i
\(451\) −945.249 1782.93i −0.0986918 0.186153i
\(452\) −4663.24 5489.99i −0.485266 0.571300i
\(453\) −176.517 260.344i −0.0183080 0.0270022i
\(454\) 10.4464 + 192.672i 0.00107990 + 0.0199175i
\(455\) 1444.45 + 3625.28i 0.148828 + 0.373530i
\(456\) −2883.62 1334.10i −0.296135 0.137007i
\(457\) −10618.4 + 2337.29i −1.08689 + 0.239242i −0.722059 0.691832i \(-0.756804\pi\)
−0.364830 + 0.931074i \(0.618873\pi\)
\(458\) 1929.96 3640.30i 0.196902 0.371397i
\(459\) −155.836 + 950.556i −0.0158470 + 0.0966627i
\(460\) 5320.38 4044.45i 0.539269 0.409942i
\(461\) −279.804 + 129.451i −0.0282685 + 0.0130784i −0.433972 0.900926i \(-0.642888\pi\)
0.405704 + 0.914005i \(0.367026\pi\)
\(462\) 286.763 + 271.636i 0.0288775 + 0.0273542i
\(463\) −376.657 2297.50i −0.0378072 0.230614i 0.961163 0.275981i \(-0.0890025\pi\)
−0.998970 + 0.0453670i \(0.985554\pi\)
\(464\) 1441.25 + 485.613i 0.144199 + 0.0485862i
\(465\) 7350.27 18447.8i 0.733033 1.83977i
\(466\) −6229.69 + 5901.07i −0.619280 + 0.586613i
\(467\) −9451.26 7184.66i −0.936514 0.711919i 0.0211596 0.999776i \(-0.493264\pi\)
−0.957673 + 0.287857i \(0.907057\pi\)
\(468\) 1013.02 + 222.983i 0.100058 + 0.0220244i
\(469\) 685.009 806.455i 0.0674430 0.0794000i
\(470\) 2551.74 + 277.519i 0.250432 + 0.0272361i
\(471\) −10177.8 −0.995683
\(472\) −9793.01 4904.98i −0.954999 0.478326i
\(473\) −193.768 −0.0188361
\(474\) 4901.36 + 533.055i 0.474951 + 0.0516541i
\(475\) −8095.81 + 9531.13i −0.782024 + 0.920670i
\(476\) 848.707 + 186.815i 0.0817236 + 0.0179887i
\(477\) 1591.74 + 1210.01i 0.152790 + 0.116148i
\(478\) −5743.14 + 5440.19i −0.549550 + 0.520562i
\(479\) 3257.93 8176.79i 0.310770 0.779973i −0.687769 0.725930i \(-0.741410\pi\)
0.998539 0.0540432i \(-0.0172109\pi\)
\(480\) 8910.55 + 3002.31i 0.847311 + 0.285492i
\(481\) 60.7001 + 370.254i 0.00575403 + 0.0350980i
\(482\) −6081.68 5760.87i −0.574716 0.544400i
\(483\) 1501.39 694.618i 0.141440 0.0654373i
\(484\) 3735.66 2839.77i 0.350832 0.266695i
\(485\) 5213.42 31800.4i 0.488101 2.97729i
\(486\) −232.782 + 439.073i −0.0217267 + 0.0409809i
\(487\) 13172.0 2899.37i 1.22563 0.269781i 0.445430 0.895317i \(-0.353051\pi\)
0.780195 + 0.625536i \(0.215120\pi\)
\(488\) −624.397 288.877i −0.0579203 0.0267968i
\(489\) 3299.93 + 8282.20i 0.305170 + 0.765918i
\(490\) −678.001 12505.0i −0.0625081 1.15289i
\(491\) −4217.67 6220.60i −0.387660 0.571755i 0.582922 0.812528i \(-0.301909\pi\)
−0.970581 + 0.240773i \(0.922599\pi\)
\(492\) −1482.91 1745.82i −0.135884 0.159975i
\(493\) −1345.66 2538.18i −0.122932 0.231874i
\(494\) −2564.06 + 863.932i −0.233527 + 0.0786845i
\(495\) 99.5888 1836.81i 0.00904279 0.166784i
\(496\) 5288.01 3181.69i 0.478707 0.288028i
\(497\) −783.886 2823.30i −0.0707487 0.254814i
\(498\) 865.114 3115.86i 0.0778448 0.280372i
\(499\) 7284.08 + 4382.68i 0.653467 + 0.393178i 0.803335 0.595528i \(-0.203057\pi\)
−0.149867 + 0.988706i \(0.547885\pi\)
\(500\) 6959.78 10264.9i 0.622501 0.918121i
\(501\) 11100.7 1207.28i 0.989908 0.107659i
\(502\) 3314.43 360.466i 0.294681 0.0320485i
\(503\) 4917.00 7252.03i 0.435861 0.642847i −0.544799 0.838567i \(-0.683394\pi\)
0.980660 + 0.195720i \(0.0627043\pi\)
\(504\) 1189.25 + 715.548i 0.105106 + 0.0632402i
\(505\) 5778.43 20812.0i 0.509181 1.83391i
\(506\) −477.057 1718.20i −0.0419126 0.150955i
\(507\) −3304.55 + 1988.28i −0.289468 + 0.174167i
\(508\) 256.401 4729.04i 0.0223936 0.413026i
\(509\) −3639.73 + 1226.37i −0.316951 + 0.106793i −0.473281 0.880912i \(-0.656930\pi\)
0.156330 + 0.987705i \(0.450034\pi\)
\(510\) 2076.94 + 3917.53i 0.180330 + 0.340139i
\(511\) 2325.68 + 2738.00i 0.201335 + 0.237030i
\(512\) 3689.11 + 5441.03i 0.318432 + 0.469652i
\(513\) 64.0565 + 1181.45i 0.00551299 + 0.101681i
\(514\) −1945.35 4882.46i −0.166937 0.418980i
\(515\) −17448.1 8072.33i −1.49292 0.690698i
\(516\) −214.802 + 47.2816i −0.0183259 + 0.00403383i
\(517\) −292.807 + 552.292i −0.0249084 + 0.0469821i
\(518\) −26.2370 + 160.039i −0.00222546 + 0.0135747i
\(519\) −761.057 + 578.541i −0.0643674 + 0.0489309i
\(520\) 13414.8 6206.35i 1.13130 0.523397i
\(521\) −9983.65 9457.02i −0.839523 0.795239i 0.141335 0.989962i \(-0.454861\pi\)
−0.980858 + 0.194723i \(0.937619\pi\)
\(522\) −239.787 1462.64i −0.0201058 0.122640i
\(523\) 16325.4 + 5500.66i 1.36493 + 0.459899i 0.903998 0.427536i \(-0.140618\pi\)
0.460933 + 0.887435i \(0.347515\pi\)
\(524\) 2398.18 6018.98i 0.199933 0.501794i
\(525\) 3965.89 3756.69i 0.329687 0.312296i
\(526\) 10658.4 + 8102.32i 0.883516 + 0.671631i
\(527\) −11384.9 2506.01i −0.941053 0.207141i
\(528\) 370.091 435.705i 0.0305041 0.0359122i
\(529\) 4671.13 + 508.016i 0.383918 + 0.0417536i
\(530\) 9203.86 0.754321
\(531\) 94.4095 + 4077.60i 0.00771568 + 0.333244i
\(532\) 1067.45 0.0869924
\(533\) −6003.00 652.865i −0.487840 0.0530558i
\(534\) 4890.25 5757.25i 0.396296 0.466555i
\(535\) 3108.89 + 684.318i 0.251232 + 0.0553002i
\(536\) −3190.52 2425.37i −0.257107 0.195448i
\(537\) −2607.96 + 2470.39i −0.209575 + 0.198520i
\(538\) −5034.75 + 12636.3i −0.403464 + 1.01262i
\(539\) 2890.26 + 973.841i 0.230969 + 0.0778225i
\(540\) −337.801 2060.50i −0.0269197 0.164203i
\(541\) 10234.1 + 9694.27i 0.813307 + 0.770405i 0.976346 0.216215i \(-0.0693711\pi\)
−0.163039 + 0.986620i \(0.552130\pi\)
\(542\) −13104.3 + 6062.67i −1.03852 + 0.480469i
\(543\) −5398.52 + 4103.85i −0.426653 + 0.324333i
\(544\) 892.997 5447.04i 0.0703804 0.429301i
\(545\) 4752.51 8964.18i 0.373532 0.704557i
\(546\) 1154.29 254.078i 0.0904744 0.0199149i
\(547\) 3318.46 + 1535.28i 0.259391 + 0.120007i 0.545275 0.838257i \(-0.316425\pi\)
−0.285884 + 0.958264i \(0.592287\pi\)
\(548\) −2260.62 5673.74i −0.176221 0.442281i
\(549\) 13.8703 + 255.823i 0.00107827 + 0.0198875i
\(550\) −3304.48 4873.74i −0.256188 0.377849i
\(551\) −2284.49 2689.51i −0.176629 0.207944i
\(552\) −2934.95 5535.91i −0.226304 0.426855i
\(553\) −4859.14 + 1637.23i −0.373656 + 0.125899i
\(554\) −93.0972 + 1717.08i −0.00713957 + 0.131682i
\(555\) 647.150 389.377i 0.0494955 0.0297805i
\(556\) −2871.89 10343.6i −0.219056 0.788970i
\(557\) 5582.92 20107.8i 0.424696 1.52962i −0.373738 0.927534i \(-0.621924\pi\)
0.798434 0.602083i \(-0.205662\pi\)
\(558\) −5153.46 3100.74i −0.390974 0.235241i
\(559\) −325.380 + 479.899i −0.0246191 + 0.0363105i
\(560\) 2426.98 263.950i 0.183140 0.0199177i
\(561\) −1073.53 + 116.753i −0.0807919 + 0.00878665i
\(562\) 6812.91 10048.3i 0.511361 0.754202i
\(563\) 20516.6 + 12344.4i 1.53583 + 0.924077i 0.996641 + 0.0818911i \(0.0260960\pi\)
0.539187 + 0.842186i \(0.318732\pi\)
\(564\) −189.826 + 683.692i −0.0141722 + 0.0510437i
\(565\) 10225.9 + 36830.4i 0.761428 + 2.74242i
\(566\) 1705.60 1026.22i 0.126664 0.0762110i
\(567\) 27.9817 516.091i 0.00207252 0.0382254i
\(568\) −10517.1 + 3543.63i −0.776917 + 0.261774i
\(569\) 7427.89 + 14010.5i 0.547264 + 1.03225i 0.990716 + 0.135951i \(0.0434091\pi\)
−0.443451 + 0.896298i \(0.646246\pi\)
\(570\) 3525.98 + 4151.10i 0.259100 + 0.305036i
\(571\) −3814.12 5625.40i −0.279537 0.412287i 0.661838 0.749647i \(-0.269777\pi\)
−0.941376 + 0.337360i \(0.890466\pi\)
\(572\) 62.9552 + 1161.14i 0.00460190 + 0.0848771i
\(573\) 5427.86 + 13622.9i 0.395728 + 0.993203i
\(574\) −2368.81 1095.93i −0.172251 0.0796918i
\(575\) −24084.9 + 5301.48i −1.74680 + 0.384499i
\(576\) 1970.88 3717.48i 0.142570 0.268915i
\(577\) −1154.73 + 7043.52i −0.0833135 + 0.508190i 0.911896 + 0.410422i \(0.134619\pi\)
−0.995209 + 0.0977681i \(0.968830\pi\)
\(578\) −5926.68 + 4505.34i −0.426501 + 0.324217i
\(579\) 10894.6 5040.38i 0.781976 0.361781i
\(580\) 4521.03 + 4282.55i 0.323665 + 0.306592i
\(581\) 544.094 + 3318.83i 0.0388517 + 0.236985i
\(582\) −9248.97 3116.34i −0.658732 0.221953i
\(583\) −829.660 + 2082.29i −0.0589382 + 0.147924i
\(584\) 9878.37 9357.29i 0.699948 0.663026i
\(585\) −4381.92 3331.05i −0.309693 0.235422i
\(586\) −6549.36 1441.62i −0.461692 0.101626i
\(587\) −3708.48 + 4365.96i −0.260759 + 0.306989i −0.876925 0.480627i \(-0.840409\pi\)
0.616166 + 0.787616i \(0.288685\pi\)
\(588\) 3441.63 + 374.300i 0.241378 + 0.0262515i
\(589\) −14319.3 −1.00172
\(590\) 11705.2 + 14679.7i 0.816769 + 1.02433i
\(591\) 3114.37 0.216765
\(592\) 233.339 + 25.3772i 0.0161996 + 0.00176182i
\(593\) 11546.3 13593.3i 0.799577 0.941335i −0.199681 0.979861i \(-0.563990\pi\)
0.999258 + 0.0385263i \(0.0122663\pi\)
\(594\) −544.099 119.765i −0.0375836 0.00827278i
\(595\) −3671.16 2790.74i −0.252946 0.192285i
\(596\) −9796.79 + 9280.02i −0.673309 + 0.637792i
\(597\) −1652.01 + 4146.24i −0.113254 + 0.284245i
\(598\) −5056.50 1703.73i −0.345778 0.116506i
\(599\) 1865.23 + 11377.4i 0.127231 + 0.776073i 0.970949 + 0.239287i \(0.0769135\pi\)
−0.843718 + 0.536786i \(0.819638\pi\)
\(600\) −15021.2 14228.9i −1.02207 0.968152i
\(601\) −1704.40 + 788.541i −0.115681 + 0.0535196i −0.476876 0.878971i \(-0.658231\pi\)
0.361195 + 0.932490i \(0.382369\pi\)
\(602\) −199.513 + 151.666i −0.0135076 + 0.0102682i
\(603\) −241.450 + 1472.78i −0.0163061 + 0.0994629i
\(604\) 187.484 353.632i 0.0126301 0.0238230i
\(605\) −24318.5 + 5352.90i −1.63419 + 0.359713i
\(606\) −5937.10 2746.79i −0.397984 0.184127i
\(607\) −7364.37 18483.2i −0.492439 1.23593i −0.939846 0.341599i \(-0.889032\pi\)
0.447407 0.894331i \(-0.352348\pi\)
\(608\) −367.068 6770.16i −0.0244845 0.451590i
\(609\) 865.056 + 1275.86i 0.0575596 + 0.0848941i
\(610\) 763.489 + 898.849i 0.0506767 + 0.0596612i
\(611\) 876.155 + 1652.60i 0.0580122 + 0.109423i
\(612\) −1161.57 + 391.378i −0.0767217 + 0.0258505i
\(613\) 1120.31 20663.0i 0.0738157 1.36145i −0.693628 0.720334i \(-0.743989\pi\)
0.767443 0.641117i \(-0.221529\pi\)
\(614\) 7564.25 4551.26i 0.497180 0.299143i
\(615\) 3251.84 + 11712.1i 0.213214 + 0.767928i
\(616\) −416.259 + 1499.23i −0.0272265 + 0.0980611i
\(617\) 2924.80 + 1759.79i 0.190840 + 0.114824i 0.607767 0.794115i \(-0.292065\pi\)
−0.416927 + 0.908940i \(0.636893\pi\)
\(618\) −3267.56 + 4819.29i −0.212687 + 0.313690i
\(619\) −10181.5 + 1107.30i −0.661111 + 0.0719002i −0.432523 0.901623i \(-0.642376\pi\)
−0.228588 + 0.973523i \(0.573411\pi\)
\(620\) 25121.4 2732.12i 1.62726 0.176975i
\(621\) −1309.43 + 1931.27i −0.0846146 + 0.124797i
\(622\) 11943.0 + 7185.87i 0.769889 + 0.463227i
\(623\) −2101.73 + 7569.76i −0.135159 + 0.486799i
\(624\) −457.631 1648.24i −0.0293588 0.105741i
\(625\) −25825.1 + 15538.5i −1.65281 + 0.994461i
\(626\) 1139.04 21008.3i 0.0727238 1.34131i
\(627\) −1256.99 + 423.529i −0.0800627 + 0.0269763i
\(628\) −6066.47 11442.6i −0.385475 0.727084i
\(629\) −287.028 337.916i −0.0181949 0.0214207i
\(630\) −1335.16 1969.22i −0.0844351 0.124532i
\(631\) −735.661 13568.5i −0.0464124 0.856026i −0.925356 0.379100i \(-0.876234\pi\)
0.878943 0.476926i \(-0.158249\pi\)
\(632\) 7188.50 + 18041.8i 0.452442 + 1.13554i
\(633\) −1660.42 768.192i −0.104259 0.0482352i
\(634\) 16658.8 3666.87i 1.04354 0.229701i
\(635\) −11771.8 + 22203.9i −0.735667 + 1.38762i
\(636\) −411.620 + 2510.77i −0.0256632 + 0.156539i
\(637\) 7265.26 5522.91i 0.451900 0.343525i
\(638\) 1508.02 697.685i 0.0935786 0.0432941i
\(639\) 3000.41 + 2842.14i 0.185750 + 0.175952i
\(640\) 923.033 + 5630.25i 0.0570095 + 0.347742i
\(641\) −10913.6 3677.22i −0.672483 0.226586i −0.0377146 0.999289i \(-0.512008\pi\)
−0.634768 + 0.772703i \(0.718904\pi\)
\(642\) 356.857 895.644i 0.0219377 0.0550596i
\(643\) −14909.4 + 14122.9i −0.914414 + 0.866179i −0.991402 0.130853i \(-0.958228\pi\)
0.0769876 + 0.997032i \(0.475470\pi\)
\(644\) 1675.85 + 1273.95i 0.102543 + 0.0779510i
\(645\) 1139.85 + 250.899i 0.0695836 + 0.0153165i
\(646\) 2069.88 2436.85i 0.126065 0.148416i
\(647\) 23269.8 + 2530.74i 1.41395 + 0.153777i 0.782990 0.622034i \(-0.213694\pi\)
0.630965 + 0.775811i \(0.282659\pi\)
\(648\) −1957.62 −0.118677
\(649\) −4376.29 + 1324.91i −0.264691 + 0.0801347i
\(650\) −17619.6 −1.06323
\(651\) 6218.38 + 676.290i 0.374374 + 0.0407157i
\(652\) −7344.51 + 8646.63i −0.441155 + 0.519368i
\(653\) −7974.10 1755.23i −0.477872 0.105188i −0.0304986 0.999535i \(-0.509710\pi\)
−0.447374 + 0.894347i \(0.647641\pi\)
\(654\) −2446.32 1859.65i −0.146267 0.111189i
\(655\) −24960.8 + 23644.2i −1.48901 + 1.41046i
\(656\) −1398.19 + 3509.20i −0.0832169 + 0.208859i
\(657\) −4801.75 1617.90i −0.285136 0.0960735i
\(658\) 130.801 + 797.852i 0.00774949 + 0.0472698i
\(659\) 9915.07 + 9392.05i 0.586095 + 0.555178i 0.922233 0.386634i \(-0.126362\pi\)
−0.336139 + 0.941813i \(0.609121\pi\)
\(660\) 2124.43 982.865i 0.125293 0.0579666i
\(661\) 5247.43 3989.00i 0.308777 0.234726i −0.439296 0.898342i \(-0.644772\pi\)
0.748073 + 0.663616i \(0.230979\pi\)
\(662\) 2142.06 13066.0i 0.125761 0.767106i
\(663\) −1513.53 + 2854.82i −0.0886584 + 0.167228i
\(664\) 12440.4 2738.34i 0.727080 0.160042i
\(665\) −5140.90 2378.43i −0.299783 0.138694i
\(666\) −84.6666 212.497i −0.00492607 0.0123635i
\(667\) −376.753 6948.81i −0.0218710 0.403387i
\(668\) 7973.91 + 11760.6i 0.461856 + 0.681186i
\(669\) 3298.63 + 3883.45i 0.190632 + 0.224429i
\(670\) 3217.98 + 6069.75i 0.185554 + 0.349993i
\(671\) −272.179 + 91.7079i −0.0156593 + 0.00527622i
\(672\) −160.345 + 2957.39i −0.00920454 + 0.169768i
\(673\) −10702.3 + 6439.34i −0.612989 + 0.368823i −0.787938 0.615754i \(-0.788851\pi\)
0.174949 + 0.984577i \(0.444024\pi\)
\(674\) 3105.41 + 11184.7i 0.177472 + 0.639195i
\(675\) −2061.30 + 7424.12i −0.117540 + 0.423340i
\(676\) −4205.05 2530.09i −0.239249 0.143952i
\(677\) 8860.95 13068.9i 0.503034 0.741919i −0.488387 0.872627i \(-0.662415\pi\)
0.991421 + 0.130708i \(0.0417250\pi\)
\(678\) 11508.8 1251.66i 0.651906 0.0708991i
\(679\) 10090.9 1097.45i 0.570330 0.0620271i
\(680\) −9801.93 + 14456.8i −0.552775 + 0.815282i
\(681\) 242.532 + 145.926i 0.0136473 + 0.00821132i
\(682\) 1803.80 6496.71i 0.101277 0.364768i
\(683\) 277.506 + 999.485i 0.0155468 + 0.0559945i 0.970917 0.239418i \(-0.0769567\pi\)
−0.955370 + 0.295413i \(0.904543\pi\)
\(684\) −1290.09 + 776.223i −0.0721169 + 0.0433913i
\(685\) −1754.61 + 32361.9i −0.0978691 + 1.80509i
\(686\) 7979.90 2688.74i 0.444131 0.149645i
\(687\) −2831.08 5339.99i −0.157224 0.296555i
\(688\) 234.816 + 276.447i 0.0130121 + 0.0153190i
\(689\) 3763.95 + 5551.41i 0.208121 + 0.306955i
\(690\) 581.497 + 10725.1i 0.0320829 + 0.591734i
\(691\) −9254.62 23227.3i −0.509497 1.27874i −0.928694 0.370846i \(-0.879068\pi\)
0.419198 0.907895i \(-0.362311\pi\)
\(692\) −1104.07 510.795i −0.0606507 0.0280600i
\(693\) 565.872 124.558i 0.0310183 0.00682765i
\(694\) −9814.79 + 18512.7i −0.536836 + 1.01258i
\(695\) −9215.86 + 56214.2i −0.502989 + 3.06810i
\(696\) 4647.99 3533.31i 0.253134 0.192428i
\(697\) 6475.99 2996.11i 0.351931 0.162820i
\(698\) −3314.30 3139.48i −0.179725 0.170245i
\(699\) 2036.41 + 12421.6i 0.110192 + 0.672142i
\(700\) 6587.42 + 2219.56i 0.355687 + 0.119845i
\(701\) −7475.71 + 18762.6i −0.402787 + 1.01092i 0.578034 + 0.816012i \(0.303820\pi\)
−0.980822 + 0.194907i \(0.937559\pi\)
\(702\) −1210.28 + 1146.44i −0.0650700 + 0.0616376i
\(703\) −433.553 329.578i −0.0232600 0.0176818i
\(704\) 4606.70 + 1014.01i 0.246622 + 0.0542855i
\(705\) 2437.57 2869.73i 0.130219 0.153305i
\(706\) −6772.66 736.572i −0.361038 0.0392652i
\(707\) 6803.48 0.361911
\(708\) −4528.05 + 2536.60i −0.240360 + 0.134649i
\(709\) 3848.80 0.203871 0.101936 0.994791i \(-0.467496\pi\)
0.101936 + 0.994791i \(0.467496\pi\)
\(710\) 18912.8 + 2056.89i 0.999697 + 0.108724i
\(711\) 4682.06 5512.15i 0.246963 0.290748i
\(712\) 29060.2 + 6396.63i 1.52960 + 0.336691i
\(713\) −22480.5 17089.2i −1.18079 0.897611i
\(714\) −1013.97 + 960.483i −0.0531469 + 0.0503434i
\(715\) 2283.99 5732.37i 0.119463 0.299830i
\(716\) −4331.86 1459.57i −0.226102 0.0761827i
\(717\) 1877.37 + 11451.4i 0.0977846 + 0.596460i
\(718\) −19102.1 18094.5i −0.992875 0.940501i
\(719\) 21073.7 9749.74i 1.09307 0.505708i 0.211316 0.977418i \(-0.432225\pi\)
0.881754 + 0.471710i \(0.156363\pi\)
\(720\) −2741.24 + 2083.84i −0.141889 + 0.107861i
\(721\) 979.685 5975.81i 0.0506038 0.308670i
\(722\) −4730.97 + 8923.56i −0.243862 + 0.459973i
\(723\) −12001.1 + 2641.63i −0.617322 + 0.135883i
\(724\) −7831.63 3623.30i −0.402017 0.185993i
\(725\) −8505.64 21347.5i −0.435712 1.09356i
\(726\) 408.292 + 7530.51i 0.0208721 + 0.384963i
\(727\) −17829.4 26296.4i −0.909567 1.34151i −0.939712 0.341966i \(-0.888907\pi\)
0.0301454 0.999546i \(-0.490403\pi\)
\(728\) 3014.10 + 3548.47i 0.153448 + 0.180652i
\(729\) 341.470 + 644.080i 0.0173485 + 0.0327227i
\(730\) −22103.6 + 7447.56i −1.12067 + 0.377598i
\(731\) 37.0932 684.144i 0.00187680 0.0346156i
\(732\) −279.347 + 168.078i −0.0141051 + 0.00848678i
\(733\) 4358.51 + 15697.9i 0.219625 + 0.791018i 0.988449 + 0.151557i \(0.0484286\pi\)
−0.768824 + 0.639461i \(0.779158\pi\)
\(734\) 3542.84 12760.1i 0.178159 0.641670i
\(735\) −15741.0 9471.06i −0.789955 0.475300i
\(736\) 7503.53 11066.9i 0.375793 0.554254i
\(737\) −1663.30 + 180.895i −0.0831324 + 0.00904119i
\(738\) 3659.80 398.027i 0.182546 0.0198531i
\(739\) 18223.6 26877.7i 0.907124 1.33791i −0.0338496 0.999427i \(-0.510777\pi\)
0.940973 0.338481i \(-0.109913\pi\)
\(740\) 823.500 + 495.484i 0.0409088 + 0.0246140i
\(741\) −1061.82 + 3824.34i −0.0526411 + 0.189596i
\(742\) 775.588 + 2793.42i 0.0383730 + 0.138207i
\(743\) −19013.6 + 11440.1i −0.938819 + 0.564869i −0.900718 0.434405i \(-0.856959\pi\)
−0.0381017 + 0.999274i \(0.512131\pi\)
\(744\) 1282.64 23656.9i 0.0632041 1.16573i
\(745\) 67858.9 22864.3i 3.33712 1.12441i
\(746\) 5361.39 + 10112.6i 0.263129 + 0.496314i
\(747\) −3070.94 3615.39i −0.150415 0.177082i
\(748\) −771.138 1137.34i −0.0376946 0.0555954i
\(749\) 54.2850 + 1001.23i 0.00264824 + 0.0488439i
\(750\) 7377.52 + 18516.2i 0.359185 + 0.901487i
\(751\) 491.599 + 227.438i 0.0238864 + 0.0110510i 0.431796 0.901971i \(-0.357880\pi\)
−0.407910 + 0.913022i \(0.633742\pi\)
\(752\) 1142.78 251.546i 0.0554163 0.0121980i
\(753\) 2290.81 4320.94i 0.110866 0.209115i
\(754\) 804.369 4906.43i 0.0388506 0.236978i
\(755\) −1690.87 + 1285.36i −0.0815060 + 0.0619592i
\(756\) 596.905 276.158i 0.0287159 0.0132854i
\(757\) −6393.10 6055.87i −0.306950 0.290759i 0.518682 0.854967i \(-0.326423\pi\)
−0.825632 + 0.564208i \(0.809181\pi\)
\(758\) −1200.68 7323.82i −0.0575338 0.350941i
\(759\) −2478.87 835.227i −0.118547 0.0399431i
\(760\) −7941.17 + 19930.8i −0.379022 + 0.951273i
\(761\) −4753.50 + 4502.76i −0.226431 + 0.214487i −0.792502 0.609870i \(-0.791222\pi\)
0.566070 + 0.824357i \(0.308463\pi\)
\(762\) 6059.44 + 4606.27i 0.288071 + 0.218986i
\(763\) 3121.16 + 687.019i 0.148091 + 0.0325973i
\(764\) −12080.6 + 14222.3i −0.572067 + 0.673490i
\(765\) 6466.21 + 703.243i 0.305603 + 0.0332363i
\(766\) 23427.0 1.10503
\(767\) −4067.39 + 13063.4i −0.191480 + 0.614984i
\(768\) 12948.3 0.608374
\(769\) 21049.4 + 2289.26i 0.987077 + 0.107351i 0.587393 0.809302i \(-0.300154\pi\)
0.399684 + 0.916653i \(0.369120\pi\)
\(770\) 1726.71 2032.83i 0.0808132 0.0951406i
\(771\) −7529.45 1657.36i −0.351707 0.0774166i