Properties

Label 483.2.y.b.340.16
Level $483$
Weight $2$
Character 483.340
Analytic conductor $3.857$
Analytic rank $0$
Dimension $320$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 483 = 3 \cdot 7 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 483.y (of order \(33\), degree \(20\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.85677441763\)
Analytic rank: \(0\)
Dimension: \(320\)
Relative dimension: \(16\) over \(\Q(\zeta_{33})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{33}]$

Embedding invariants

Embedding label 340.16
Character \(\chi\) \(=\) 483.340
Dual form 483.2.y.b.331.16

$q$-expansion

\(f(q)\) \(=\) \(q+(0.617230 + 2.54426i) q^{2} +(-0.327068 - 0.945001i) q^{3} +(-4.31460 + 2.22433i) q^{4} +(3.40608 - 1.36359i) q^{5} +(2.20245 - 1.41543i) q^{6} +(2.47194 - 0.943132i) q^{7} +(-4.89344 - 5.64734i) q^{8} +(-0.786053 + 0.618159i) q^{9} +O(q^{10})\) \(q+(0.617230 + 2.54426i) q^{2} +(-0.327068 - 0.945001i) q^{3} +(-4.31460 + 2.22433i) q^{4} +(3.40608 - 1.36359i) q^{5} +(2.20245 - 1.41543i) q^{6} +(2.47194 - 0.943132i) q^{7} +(-4.89344 - 5.64734i) q^{8} +(-0.786053 + 0.618159i) q^{9} +(5.57166 + 7.82430i) q^{10} +(1.13440 - 4.67608i) q^{11} +(3.51316 + 3.34979i) q^{12} +(1.90979 - 4.18186i) q^{13} +(3.92533 + 5.70713i) q^{14} +(-2.40261 - 2.77276i) q^{15} +(5.71645 - 8.02763i) q^{16} +(0.0881357 + 1.85020i) q^{17} +(-2.05793 - 1.61837i) q^{18} +(-0.159166 + 3.34130i) q^{19} +(-11.6628 + 13.4596i) q^{20} +(-1.69975 - 2.02752i) q^{21} +12.5973 q^{22} +(-3.00298 + 3.73927i) q^{23} +(-3.73625 + 6.47137i) q^{24} +(6.12334 - 5.83860i) q^{25} +(11.8185 + 2.27783i) q^{26} +(0.841254 + 0.540641i) q^{27} +(-8.56761 + 9.56765i) q^{28} +(-2.28199 + 1.46655i) q^{29} +(5.57166 - 7.82430i) q^{30} +(-8.29125 + 1.59801i) q^{31} +(10.0783 + 4.03473i) q^{32} +(-4.78993 + 0.457383i) q^{33} +(-4.65297 + 1.36624i) q^{34} +(7.13359 - 6.58310i) q^{35} +(2.01651 - 4.41555i) q^{36} +(-2.06147 + 1.62116i) q^{37} +(-8.59937 + 1.65739i) q^{38} +(-4.57649 - 0.437002i) q^{39} +(-24.3681 - 12.5626i) q^{40} +(-1.03739 + 7.21520i) q^{41} +(4.10939 - 5.57606i) q^{42} +(-2.60984 + 3.01192i) q^{43} +(5.50664 + 22.6987i) q^{44} +(-1.83445 + 3.17735i) q^{45} +(-11.3672 - 5.33235i) q^{46} +(0.722635 + 1.25164i) q^{47} +(-9.45578 - 2.77647i) q^{48} +(5.22100 - 4.66274i) q^{49} +(18.6344 + 11.9756i) q^{50} +(1.71961 - 0.688428i) q^{51} +(1.06185 + 22.2910i) q^{52} +(5.56505 + 0.531398i) q^{53} +(-0.856282 + 2.47406i) q^{54} +(-2.51238 - 17.4740i) q^{55} +(-17.4225 - 9.34473i) q^{56} +(3.20959 - 0.942421i) q^{57} +(-5.13979 - 4.90078i) q^{58} +(3.77668 + 5.30361i) q^{59} +(16.5339 + 6.61916i) q^{60} +(-0.852109 + 2.46201i) q^{61} +(-9.18335 - 20.1087i) q^{62} +(-1.36007 + 2.26941i) q^{63} +(-1.23976 + 8.62270i) q^{64} +(0.802565 - 16.8479i) q^{65} +(-4.12018 - 11.9045i) q^{66} +(-4.44524 + 4.23853i) q^{67} +(-4.49572 - 7.78681i) q^{68} +(4.51579 + 1.61482i) q^{69} +(21.1522 + 14.0864i) q^{70} +(5.75914 + 1.69104i) q^{71} +(7.33746 + 1.41418i) q^{72} +(11.0950 - 5.71987i) q^{73} +(-5.39703 - 4.24427i) q^{74} +(-7.52023 - 3.87695i) q^{75} +(-6.74542 - 14.7704i) q^{76} +(-1.60598 - 12.6289i) q^{77} +(-1.71290 - 11.9135i) q^{78} +(-7.42678 + 0.709172i) q^{79} +(8.52430 - 35.1376i) q^{80} +(0.235759 - 0.971812i) q^{81} +(-18.9976 + 1.81405i) q^{82} +(0.941443 + 6.54788i) q^{83} +(11.8436 + 4.96712i) q^{84} +(2.82310 + 6.18173i) q^{85} +(-9.27397 - 4.78106i) q^{86} +(2.13226 + 1.67682i) q^{87} +(-31.9585 + 16.4758i) q^{88} +(-11.9348 - 2.30024i) q^{89} +(-9.21628 - 2.70614i) q^{90} +(0.776849 - 12.1385i) q^{91} +(4.63926 - 22.8131i) q^{92} +(4.22192 + 7.31258i) q^{93} +(-2.73846 + 2.61112i) q^{94} +(4.01403 + 11.5978i) q^{95} +(0.516544 - 10.8436i) q^{96} +(1.04990 - 7.30224i) q^{97} +(15.0858 + 10.4056i) q^{98} +(1.99886 + 4.37689i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 320q + 2q^{2} + 16q^{3} + 18q^{4} - 2q^{5} + 18q^{6} + 2q^{7} - 12q^{8} + 16q^{9} + O(q^{10}) \) \( 320q + 2q^{2} + 16q^{3} + 18q^{4} - 2q^{5} + 18q^{6} + 2q^{7} - 12q^{8} + 16q^{9} + 2q^{11} + 18q^{12} + 18q^{14} - 18q^{15} - 8q^{16} + 4q^{17} + 2q^{18} + 8q^{19} - 162q^{20} - 4q^{21} + 144q^{22} - 26q^{23} + 6q^{24} - 8q^{25} - 14q^{26} - 32q^{27} + 86q^{28} - 74q^{29} - 56q^{31} - 28q^{32} + 13q^{33} + 40q^{34} - 32q^{35} - 14q^{36} + 2q^{37} - 39q^{38} - 52q^{40} + 60q^{41} - 61q^{42} + 16q^{43} - 75q^{44} - 2q^{45} - 4q^{46} - 40q^{47} - 28q^{48} - 100q^{49} + 146q^{50} - 18q^{51} - 18q^{52} + 34q^{53} + 2q^{54} + 36q^{55} - 102q^{56} + 28q^{57} - 17q^{58} - 102q^{59} - 18q^{60} - 18q^{61} - 88q^{62} + 2q^{63} - 252q^{64} - 78q^{65} + 16q^{66} + 12q^{67} + 34q^{68} + 8q^{69} + 264q^{70} + 160q^{71} + 6q^{72} - 8q^{73} + 70q^{74} + 14q^{75} - 40q^{76} - 90q^{77} - 16q^{78} + 26q^{79} - 103q^{80} + 16q^{81} - 30q^{82} - 80q^{83} - 52q^{84} - 128q^{85} + 90q^{86} + 4q^{87} - 293q^{88} - 36q^{89} + 16q^{91} - 174q^{92} + 32q^{93} + 57q^{94} - 85q^{95} - 50q^{96} - 8q^{97} - 193q^{98} - 26q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/483\mathbb{Z}\right)^\times\).

\(n\) \(323\) \(346\) \(442\)
\(\chi(n)\) \(1\) \(e\left(\frac{2}{3}\right)\) \(e\left(\frac{6}{11}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.617230 + 2.54426i 0.436448 + 1.79906i 0.586004 + 0.810308i \(0.300700\pi\)
−0.149557 + 0.988753i \(0.547785\pi\)
\(3\) −0.327068 0.945001i −0.188833 0.545596i
\(4\) −4.31460 + 2.22433i −2.15730 + 1.11217i
\(5\) 3.40608 1.36359i 1.52325 0.609816i 0.549104 0.835754i \(-0.314969\pi\)
0.974142 + 0.225938i \(0.0725448\pi\)
\(6\) 2.20245 1.41543i 0.899146 0.577846i
\(7\) 2.47194 0.943132i 0.934307 0.356470i
\(8\) −4.89344 5.64734i −1.73009 1.99663i
\(9\) −0.786053 + 0.618159i −0.262018 + 0.206053i
\(10\) 5.57166 + 7.82430i 1.76191 + 2.47426i
\(11\) 1.13440 4.67608i 0.342036 1.40989i −0.497914 0.867227i \(-0.665900\pi\)
0.839950 0.542664i \(-0.182584\pi\)
\(12\) 3.51316 + 3.34979i 1.01416 + 0.967002i
\(13\) 1.90979 4.18186i 0.529681 1.15984i −0.435962 0.899965i \(-0.643592\pi\)
0.965643 0.259874i \(-0.0836809\pi\)
\(14\) 3.92533 + 5.70713i 1.04909 + 1.52529i
\(15\) −2.40261 2.77276i −0.620352 0.715924i
\(16\) 5.71645 8.02763i 1.42911 2.00691i
\(17\) 0.0881357 + 1.85020i 0.0213760 + 0.448738i 0.984030 + 0.178003i \(0.0569637\pi\)
−0.962654 + 0.270735i \(0.912733\pi\)
\(18\) −2.05793 1.61837i −0.485059 0.381455i
\(19\) −0.159166 + 3.34130i −0.0365151 + 0.766547i 0.904151 + 0.427213i \(0.140505\pi\)
−0.940666 + 0.339334i \(0.889798\pi\)
\(20\) −11.6628 + 13.4596i −2.60788 + 3.00966i
\(21\) −1.69975 2.02752i −0.370917 0.442441i
\(22\) 12.5973 2.68576
\(23\) −3.00298 + 3.73927i −0.626164 + 0.779692i
\(24\) −3.73625 + 6.47137i −0.762658 + 1.32096i
\(25\) 6.12334 5.83860i 1.22467 1.16772i
\(26\) 11.8185 + 2.27783i 2.31780 + 0.446719i
\(27\) 0.841254 + 0.540641i 0.161899 + 0.104046i
\(28\) −8.56761 + 9.56765i −1.61913 + 1.80812i
\(29\) −2.28199 + 1.46655i −0.423755 + 0.272331i −0.735090 0.677969i \(-0.762860\pi\)
0.311335 + 0.950300i \(0.399224\pi\)
\(30\) 5.57166 7.82430i 1.01724 1.42851i
\(31\) −8.29125 + 1.59801i −1.48915 + 0.287011i −0.867955 0.496644i \(-0.834566\pi\)
−0.621197 + 0.783654i \(0.713353\pi\)
\(32\) 10.0783 + 4.03473i 1.78160 + 0.713246i
\(33\) −4.78993 + 0.457383i −0.833819 + 0.0796201i
\(34\) −4.65297 + 1.36624i −0.797978 + 0.234307i
\(35\) 7.13359 6.58310i 1.20580 1.11275i
\(36\) 2.01651 4.41555i 0.336086 0.735925i
\(37\) −2.06147 + 1.62116i −0.338903 + 0.266516i −0.773076 0.634313i \(-0.781283\pi\)
0.434173 + 0.900829i \(0.357041\pi\)
\(38\) −8.59937 + 1.65739i −1.39500 + 0.268865i
\(39\) −4.57649 0.437002i −0.732825 0.0699763i
\(40\) −24.3681 12.5626i −3.85294 1.98633i
\(41\) −1.03739 + 7.21520i −0.162013 + 1.12682i 0.732820 + 0.680423i \(0.238204\pi\)
−0.894833 + 0.446402i \(0.852705\pi\)
\(42\) 4.10939 5.57606i 0.634093 0.860404i
\(43\) −2.60984 + 3.01192i −0.397997 + 0.459313i −0.919009 0.394236i \(-0.871009\pi\)
0.521012 + 0.853549i \(0.325555\pi\)
\(44\) 5.50664 + 22.6987i 0.830158 + 3.42196i
\(45\) −1.83445 + 3.17735i −0.273463 + 0.473652i
\(46\) −11.3672 5.33235i −1.67600 0.786212i
\(47\) 0.722635 + 1.25164i 0.105407 + 0.182571i 0.913904 0.405929i \(-0.133052\pi\)
−0.808497 + 0.588500i \(0.799719\pi\)
\(48\) −9.45578 2.77647i −1.36482 0.400749i
\(49\) 5.22100 4.66274i 0.745858 0.666105i
\(50\) 18.6344 + 11.9756i 2.63530 + 1.69361i
\(51\) 1.71961 0.688428i 0.240793 0.0963992i
\(52\) 1.06185 + 22.2910i 0.147253 + 3.09121i
\(53\) 5.56505 + 0.531398i 0.764418 + 0.0729931i 0.469980 0.882677i \(-0.344261\pi\)
0.294439 + 0.955670i \(0.404867\pi\)
\(54\) −0.856282 + 2.47406i −0.116525 + 0.336678i
\(55\) −2.51238 17.4740i −0.338769 2.35619i
\(56\) −17.4225 9.34473i −2.32818 1.24874i
\(57\) 3.20959 0.942421i 0.425121 0.124827i
\(58\) −5.13979 4.90078i −0.674887 0.643504i
\(59\) 3.77668 + 5.30361i 0.491682 + 0.690471i 0.983639 0.180148i \(-0.0576577\pi\)
−0.491957 + 0.870619i \(0.663718\pi\)
\(60\) 16.5339 + 6.61916i 2.13451 + 0.854529i
\(61\) −0.852109 + 2.46201i −0.109101 + 0.315228i −0.986315 0.164873i \(-0.947279\pi\)
0.877213 + 0.480101i \(0.159400\pi\)
\(62\) −9.18335 20.1087i −1.16629 2.55381i
\(63\) −1.36007 + 2.26941i −0.171353 + 0.285918i
\(64\) −1.23976 + 8.62270i −0.154970 + 1.07784i
\(65\) 0.802565 16.8479i 0.0995460 2.08973i
\(66\) −4.12018 11.9045i −0.507160 1.46534i
\(67\) −4.44524 + 4.23853i −0.543072 + 0.517818i −0.911204 0.411955i \(-0.864846\pi\)
0.368132 + 0.929774i \(0.379997\pi\)
\(68\) −4.49572 7.78681i −0.545186 0.944289i
\(69\) 4.51579 + 1.61482i 0.543637 + 0.194401i
\(70\) 21.1522 + 14.0864i 2.52817 + 1.68365i
\(71\) 5.75914 + 1.69104i 0.683484 + 0.200689i 0.604999 0.796226i \(-0.293174\pi\)
0.0784851 + 0.996915i \(0.474992\pi\)
\(72\) 7.33746 + 1.41418i 0.864728 + 0.166663i
\(73\) 11.0950 5.71987i 1.29857 0.669461i 0.336353 0.941736i \(-0.390806\pi\)
0.962219 + 0.272275i \(0.0877761\pi\)
\(74\) −5.39703 4.24427i −0.627392 0.493387i
\(75\) −7.52023 3.87695i −0.868361 0.447671i
\(76\) −6.74542 14.7704i −0.773753 1.69428i
\(77\) −1.60598 12.6289i −0.183018 1.43920i
\(78\) −1.71290 11.9135i −0.193948 1.34894i
\(79\) −7.42678 + 0.709172i −0.835578 + 0.0797880i −0.504068 0.863664i \(-0.668164\pi\)
−0.331510 + 0.943452i \(0.607558\pi\)
\(80\) 8.52430 35.1376i 0.953046 3.92851i
\(81\) 0.235759 0.971812i 0.0261954 0.107979i
\(82\) −18.9976 + 1.81405i −2.09794 + 0.200329i
\(83\) 0.941443 + 6.54788i 0.103337 + 0.718724i 0.973951 + 0.226758i \(0.0728125\pi\)
−0.870614 + 0.491966i \(0.836278\pi\)
\(84\) 11.8436 + 4.96712i 1.29225 + 0.541957i
\(85\) 2.82310 + 6.18173i 0.306209 + 0.670503i
\(86\) −9.27397 4.78106i −1.00004 0.515555i
\(87\) 2.13226 + 1.67682i 0.228602 + 0.179774i
\(88\) −31.9585 + 16.4758i −3.40679 + 1.75632i
\(89\) −11.9348 2.30024i −1.26509 0.243825i −0.487791 0.872961i \(-0.662197\pi\)
−0.777296 + 0.629135i \(0.783409\pi\)
\(90\) −9.21628 2.70614i −0.971481 0.285253i
\(91\) 0.776849 12.1385i 0.0814359 1.27246i
\(92\) 4.63926 22.8131i 0.483677 2.37843i
\(93\) 4.22192 + 7.31258i 0.437793 + 0.758279i
\(94\) −2.73846 + 2.61112i −0.282451 + 0.269316i
\(95\) 4.01403 + 11.5978i 0.411831 + 1.18991i
\(96\) 0.516544 10.8436i 0.0527196 1.10672i
\(97\) 1.04990 7.30224i 0.106601 0.741430i −0.864478 0.502671i \(-0.832351\pi\)
0.971079 0.238758i \(-0.0767403\pi\)
\(98\) 15.0858 + 10.4056i 1.52389 + 1.05112i
\(99\) 1.99886 + 4.37689i 0.200893 + 0.439894i
\(100\) −13.4328 + 38.8115i −1.34328 + 3.88115i
\(101\) 15.6778 + 6.27645i 1.56000 + 0.624530i 0.981553 0.191190i \(-0.0612346\pi\)
0.578447 + 0.815720i \(0.303659\pi\)
\(102\) 2.81293 + 3.95021i 0.278522 + 0.391129i
\(103\) −4.73028 4.51032i −0.466089 0.444415i 0.420280 0.907394i \(-0.361932\pi\)
−0.886369 + 0.462980i \(0.846780\pi\)
\(104\) −32.9618 + 9.67846i −3.23217 + 0.949051i
\(105\) −8.55420 4.58813i −0.834805 0.447756i
\(106\) 2.08290 + 14.4869i 0.202309 + 1.40709i
\(107\) 4.49376 12.9839i 0.434428 1.25520i −0.489289 0.872122i \(-0.662744\pi\)
0.923717 0.383076i \(-0.125135\pi\)
\(108\) −4.83224 0.461423i −0.464982 0.0444004i
\(109\) 0.218968 + 4.59670i 0.0209733 + 0.440284i 0.984793 + 0.173730i \(0.0555820\pi\)
−0.963820 + 0.266554i \(0.914115\pi\)
\(110\) 42.9075 17.1776i 4.09107 1.63782i
\(111\) 2.20623 + 1.41786i 0.209406 + 0.134577i
\(112\) 6.55962 25.2352i 0.619826 2.38450i
\(113\) 5.96281 + 1.75084i 0.560934 + 0.164705i 0.549895 0.835234i \(-0.314668\pi\)
0.0110394 + 0.999939i \(0.496486\pi\)
\(114\) 4.37882 + 7.58433i 0.410114 + 0.710338i
\(115\) −5.12955 + 16.8311i −0.478333 + 1.56951i
\(116\) 6.58380 11.4035i 0.611290 1.05879i
\(117\) 1.08386 + 4.46772i 0.100203 + 0.413041i
\(118\) −11.1627 + 12.8824i −1.02761 + 1.18592i
\(119\) 1.96284 + 4.49045i 0.179934 + 0.411639i
\(120\) −3.90167 + 27.1367i −0.356172 + 2.47723i
\(121\) −10.8017 5.56864i −0.981969 0.506240i
\(122\) −6.78993 0.648359i −0.614731 0.0586997i
\(123\) 7.15766 1.37953i 0.645385 0.124388i
\(124\) 32.2189 25.3372i 2.89334 2.27535i
\(125\) 5.27459 11.5498i 0.471774 1.03304i
\(126\) −6.61343 2.05963i −0.589171 0.183486i
\(127\) 4.60016 1.35073i 0.408198 0.119858i −0.0711857 0.997463i \(-0.522678\pi\)
0.479384 + 0.877605i \(0.340860\pi\)
\(128\) −1.09012 + 0.104094i −0.0963536 + 0.00920066i
\(129\) 3.69986 + 1.48120i 0.325755 + 0.130413i
\(130\) 43.3608 8.35711i 3.80299 0.732967i
\(131\) −10.8121 + 15.1834i −0.944654 + 1.32658i 0.000515014 1.00000i \(0.499836\pi\)
−0.945169 + 0.326581i \(0.894103\pi\)
\(132\) 19.6492 12.6278i 1.71025 1.09911i
\(133\) 2.75784 + 8.40962i 0.239135 + 0.729207i
\(134\) −13.5276 8.69368i −1.16861 0.751020i
\(135\) 3.60259 + 0.694342i 0.310062 + 0.0597595i
\(136\) 10.0174 9.55156i 0.858984 0.819039i
\(137\) −9.96536 + 17.2605i −0.851398 + 1.47466i 0.0285486 + 0.999592i \(0.490911\pi\)
−0.879947 + 0.475072i \(0.842422\pi\)
\(138\) −1.32123 + 12.4860i −0.112471 + 1.06288i
\(139\) −1.82225 −0.154561 −0.0772805 0.997009i \(-0.524624\pi\)
−0.0772805 + 0.997009i \(0.524624\pi\)
\(140\) −16.1356 + 44.2709i −1.36371 + 3.74157i
\(141\) 0.946451 1.09226i 0.0797055 0.0919851i
\(142\) −0.747716 + 15.6965i −0.0627469 + 1.31722i
\(143\) −17.3882 13.6743i −1.45408 1.14350i
\(144\) 0.468919 + 9.84382i 0.0390766 + 0.820318i
\(145\) −5.77288 + 8.10688i −0.479412 + 0.673240i
\(146\) 21.4010 + 24.6981i 1.77116 + 2.04403i
\(147\) −6.11391 3.40882i −0.504267 0.281155i
\(148\) 5.28842 11.5800i 0.434705 0.951872i
\(149\) 16.7087 + 15.9317i 1.36883 + 1.30517i 0.908777 + 0.417282i \(0.137017\pi\)
0.460051 + 0.887892i \(0.347831\pi\)
\(150\) 5.22224 21.5264i 0.426394 1.75762i
\(151\) −12.7722 17.9360i −1.03938 1.45961i −0.881518 0.472151i \(-0.843478\pi\)
−0.157867 0.987460i \(-0.550462\pi\)
\(152\) 19.6483 15.4516i 1.59369 1.25329i
\(153\) −1.21299 1.39987i −0.0980648 0.113173i
\(154\) 31.1399 11.8810i 2.50932 0.957394i
\(155\) −26.0616 + 16.7488i −2.09332 + 1.34530i
\(156\) 20.7178 8.29414i 1.65875 0.664063i
\(157\) −6.16892 + 3.18030i −0.492334 + 0.253816i −0.686469 0.727159i \(-0.740840\pi\)
0.194135 + 0.980975i \(0.437810\pi\)
\(158\) −6.38835 18.4579i −0.508230 1.46843i
\(159\) −1.31798 5.43278i −0.104522 0.430847i
\(160\) 39.8291 3.14877
\(161\) −3.89656 + 12.0755i −0.307092 + 0.951680i
\(162\) 2.61806 0.205694
\(163\) −4.27014 17.6018i −0.334463 1.37868i −0.852235 0.523158i \(-0.824754\pi\)
0.517772 0.855519i \(-0.326762\pi\)
\(164\) −11.5731 33.4382i −0.903705 2.61108i
\(165\) −15.6912 + 8.08937i −1.22156 + 0.629757i
\(166\) −16.0784 + 6.43682i −1.24793 + 0.499594i
\(167\) −10.6314 + 6.83238i −0.822681 + 0.528705i −0.882945 0.469477i \(-0.844442\pi\)
0.0602632 + 0.998183i \(0.480806\pi\)
\(168\) −3.13243 + 19.5206i −0.241673 + 1.50605i
\(169\) −5.32745 6.14820i −0.409804 0.472939i
\(170\) −13.9854 + 10.9983i −1.07263 + 0.843527i
\(171\) −1.94034 2.72483i −0.148382 0.208373i
\(172\) 4.56092 18.8004i 0.347767 1.43352i
\(173\) −1.93146 1.84165i −0.146846 0.140018i 0.613095 0.790009i \(-0.289924\pi\)
−0.759942 + 0.649991i \(0.774773\pi\)
\(174\) −2.95018 + 6.45999i −0.223652 + 0.489731i
\(175\) 9.62999 20.2078i 0.727959 1.52757i
\(176\) −31.0531 35.8371i −2.34071 2.70133i
\(177\) 3.77668 5.30361i 0.283873 0.398644i
\(178\) −1.51411 31.7850i −0.113487 2.38239i
\(179\) −15.8255 12.4453i −1.18285 0.930207i −0.184243 0.982881i \(-0.558983\pi\)
−0.998612 + 0.0526736i \(0.983226\pi\)
\(180\) 0.847414 17.7894i 0.0631625 1.32594i
\(181\) 4.60796 5.31787i 0.342507 0.395274i −0.558196 0.829709i \(-0.688506\pi\)
0.900703 + 0.434435i \(0.143052\pi\)
\(182\) 31.3630 5.51574i 2.32478 0.408854i
\(183\) 2.60530 0.192589
\(184\) 35.8118 1.33910i 2.64008 0.0987197i
\(185\) −4.81093 + 8.33278i −0.353707 + 0.612638i
\(186\) −15.9992 + 15.2552i −1.17312 + 1.11856i
\(187\) 8.75164 + 1.68674i 0.639983 + 0.123347i
\(188\) −5.90194 3.79295i −0.430443 0.276629i
\(189\) 2.58943 + 0.543020i 0.188353 + 0.0394989i
\(190\) −27.0302 + 17.3712i −1.96097 + 1.26024i
\(191\) 12.8815 18.0896i 0.932075 1.30892i −0.0189554 0.999820i \(-0.506034\pi\)
0.951031 0.309096i \(-0.100027\pi\)
\(192\) 8.55395 1.64864i 0.617328 0.118980i
\(193\) −5.85316 2.34325i −0.421320 0.168671i 0.151308 0.988487i \(-0.451652\pi\)
−0.572627 + 0.819816i \(0.694076\pi\)
\(194\) 19.2268 1.83594i 1.38040 0.131813i
\(195\) −16.1838 + 4.75199i −1.15895 + 0.340297i
\(196\) −12.1551 + 31.7311i −0.868219 + 2.26651i
\(197\) 5.39475 11.8129i 0.384360 0.841632i −0.614259 0.789104i \(-0.710545\pi\)
0.998619 0.0525273i \(-0.0167276\pi\)
\(198\) −9.90217 + 7.78716i −0.703717 + 0.553409i
\(199\) −1.05092 + 0.202547i −0.0744974 + 0.0143582i −0.226364 0.974043i \(-0.572684\pi\)
0.151866 + 0.988401i \(0.451472\pi\)
\(200\) −62.9367 6.00973i −4.45030 0.424952i
\(201\) 5.45930 + 2.81447i 0.385070 + 0.198517i
\(202\) −6.29208 + 43.7624i −0.442709 + 3.07911i
\(203\) −4.25781 + 5.77744i −0.298839 + 0.405497i
\(204\) −5.88813 + 6.79527i −0.412252 + 0.475764i
\(205\) 6.30514 + 25.9901i 0.440370 + 1.81523i
\(206\) 8.55573 14.8190i 0.596106 1.03249i
\(207\) 0.0490347 4.79558i 0.00340815 0.333316i
\(208\) −22.6532 39.2365i −1.57072 2.72056i
\(209\) 15.4436 + 4.53466i 1.06826 + 0.313669i
\(210\) 6.39347 24.5960i 0.441192 1.69729i
\(211\) −12.7641 8.20297i −0.878715 0.564716i 0.0216921 0.999765i \(-0.493095\pi\)
−0.900407 + 0.435049i \(0.856731\pi\)
\(212\) −25.1930 + 10.0857i −1.73026 + 0.692692i
\(213\) −0.285600 5.99548i −0.0195690 0.410803i
\(214\) 35.8080 + 3.41925i 2.44778 + 0.233735i
\(215\) −4.78232 + 13.8176i −0.326151 + 0.942352i
\(216\) −1.06345 7.39644i −0.0723584 0.503264i
\(217\) −18.9884 + 11.7699i −1.28901 + 0.798994i
\(218\) −11.5600 + 3.39433i −0.782944 + 0.229893i
\(219\) −9.03411 8.61400i −0.610468 0.582081i
\(220\) 49.7078 + 69.8048i 3.35130 + 4.70624i
\(221\) 7.90557 + 3.16491i 0.531786 + 0.212895i
\(222\) −2.24565 + 6.48837i −0.150718 + 0.435471i
\(223\) 1.56869 + 3.43496i 0.105047 + 0.230022i 0.954856 0.297070i \(-0.0960096\pi\)
−0.849808 + 0.527092i \(0.823282\pi\)
\(224\) 28.7182 + 0.468484i 1.91881 + 0.0313019i
\(225\) −1.20409 + 8.37465i −0.0802728 + 0.558310i
\(226\) −0.774159 + 16.2516i −0.0514963 + 1.08104i
\(227\) 7.21436 + 20.8445i 0.478834 + 1.38350i 0.883240 + 0.468921i \(0.155357\pi\)
−0.404406 + 0.914579i \(0.632522\pi\)
\(228\) −11.7518 + 11.2054i −0.778285 + 0.742093i
\(229\) −9.30174 16.1111i −0.614676 1.06465i −0.990441 0.137935i \(-0.955953\pi\)
0.375765 0.926715i \(-0.377380\pi\)
\(230\) −45.9887 2.66224i −3.03241 0.175543i
\(231\) −11.4091 + 5.64816i −0.750661 + 0.371621i
\(232\) 19.4489 + 5.71071i 1.27688 + 0.374926i
\(233\) −5.10149 0.983232i −0.334210 0.0644137i 0.0193857 0.999812i \(-0.493829\pi\)
−0.353596 + 0.935398i \(0.615041\pi\)
\(234\) −10.6980 + 5.51522i −0.699352 + 0.360541i
\(235\) 4.16808 + 3.27781i 0.271895 + 0.213821i
\(236\) −28.0919 14.4824i −1.82862 0.942721i
\(237\) 3.09923 + 6.78637i 0.201317 + 0.440822i
\(238\) −10.2133 + 7.76562i −0.662032 + 0.503371i
\(239\) 0.797511 + 5.54681i 0.0515867 + 0.358794i 0.999222 + 0.0394389i \(0.0125570\pi\)
−0.947635 + 0.319355i \(0.896534\pi\)
\(240\) −35.9931 + 3.43693i −2.32335 + 0.221853i
\(241\) 4.23660 17.4635i 0.272904 1.12492i −0.656047 0.754720i \(-0.727773\pi\)
0.928951 0.370204i \(-0.120712\pi\)
\(242\) 7.50095 30.9193i 0.482179 1.98757i
\(243\) −0.995472 + 0.0950560i −0.0638596 + 0.00609785i
\(244\) −1.79981 12.5179i −0.115221 0.801380i
\(245\) 11.4251 23.0010i 0.729923 1.46948i
\(246\) 7.92780 + 17.3595i 0.505458 + 1.10680i
\(247\) 13.6689 + 7.04680i 0.869730 + 0.448377i
\(248\) 49.5972 + 39.0037i 3.14943 + 2.47674i
\(249\) 5.87984 3.03127i 0.372620 0.192099i
\(250\) 32.6412 + 6.29107i 2.06441 + 0.397882i
\(251\) 3.52139 + 1.03397i 0.222268 + 0.0652639i 0.390971 0.920403i \(-0.372139\pi\)
−0.168702 + 0.985667i \(0.553958\pi\)
\(252\) 0.820261 12.8168i 0.0516716 0.807384i
\(253\) 14.0785 + 18.2840i 0.885110 + 1.14950i
\(254\) 6.27596 + 10.8703i 0.393789 + 0.682062i
\(255\) 4.91840 4.68968i 0.308002 0.293679i
\(256\) 4.76073 + 13.7552i 0.297546 + 0.859701i
\(257\) 1.02097 21.4327i 0.0636861 1.33694i −0.710374 0.703824i \(-0.751474\pi\)
0.774061 0.633112i \(-0.218223\pi\)
\(258\) −1.48489 + 10.3276i −0.0924453 + 0.642971i
\(259\) −3.56686 + 5.95164i −0.221634 + 0.369817i
\(260\) 34.0126 + 74.4772i 2.10937 + 4.61888i
\(261\) 0.887208 2.56342i 0.0549168 0.158672i
\(262\) −45.3040 18.1370i −2.79889 1.12051i
\(263\) 4.28222 + 6.01353i 0.264053 + 0.370810i 0.925222 0.379427i \(-0.123879\pi\)
−0.661169 + 0.750237i \(0.729939\pi\)
\(264\) 26.0222 + 24.8121i 1.60156 + 1.52708i
\(265\) 19.6796 5.77846i 1.20891 0.354968i
\(266\) −19.6940 + 12.2073i −1.20752 + 0.748479i
\(267\) 1.72976 + 12.0307i 0.105860 + 0.736269i
\(268\) 9.75154 28.1752i 0.595670 1.72108i
\(269\) 5.83434 + 0.557112i 0.355726 + 0.0339677i 0.271390 0.962470i \(-0.412517\pi\)
0.0843367 + 0.996437i \(0.473123\pi\)
\(270\) 0.457042 + 9.59448i 0.0278147 + 0.583902i
\(271\) −0.556981 + 0.222982i −0.0338342 + 0.0135452i −0.388518 0.921441i \(-0.627013\pi\)
0.354684 + 0.934986i \(0.384589\pi\)
\(272\) 15.3565 + 9.86902i 0.931125 + 0.598398i
\(273\) −11.7250 + 3.23599i −0.709628 + 0.195851i
\(274\) −50.0661 14.7007i −3.02460 0.888104i
\(275\) −20.3554 35.2566i −1.22748 2.12605i
\(276\) −23.0757 + 3.07731i −1.38899 + 0.185233i
\(277\) −0.0180707 + 0.0312994i −0.00108576 + 0.00188060i −0.866568 0.499059i \(-0.833679\pi\)
0.865482 + 0.500940i \(0.167012\pi\)
\(278\) −1.12475 4.63626i −0.0674577 0.278065i
\(279\) 5.52954 6.38143i 0.331045 0.382046i
\(280\) −72.0848 8.07177i −4.30789 0.482381i
\(281\) 1.04127 7.24217i 0.0621168 0.432032i −0.934904 0.354900i \(-0.884515\pi\)
0.997021 0.0771314i \(-0.0245761\pi\)
\(282\) 3.36317 + 1.73384i 0.200274 + 0.103248i
\(283\) −19.4345 1.85577i −1.15526 0.110314i −0.500214 0.865902i \(-0.666745\pi\)
−0.655048 + 0.755588i \(0.727351\pi\)
\(284\) −28.6098 + 5.51409i −1.69768 + 0.327201i
\(285\) 9.64705 7.58652i 0.571442 0.449387i
\(286\) 24.0583 52.6803i 1.42260 3.11505i
\(287\) 4.24052 + 18.8140i 0.250310 + 1.11055i
\(288\) −10.4162 + 3.05846i −0.613778 + 0.180221i
\(289\) 13.5076 1.28982i 0.794563 0.0758716i
\(290\) −24.1892 9.68389i −1.42044 0.568657i
\(291\) −7.24401 + 1.39617i −0.424651 + 0.0818448i
\(292\) −35.1476 + 49.3579i −2.05686 + 2.88845i
\(293\) −13.8364 + 8.89212i −0.808332 + 0.519483i −0.878325 0.478064i \(-0.841339\pi\)
0.0699932 + 0.997547i \(0.477702\pi\)
\(294\) 4.89923 17.6594i 0.285729 1.02992i
\(295\) 20.0956 + 12.9147i 1.17001 + 0.751922i
\(296\) 19.2429 + 3.70876i 1.11847 + 0.215567i
\(297\) 3.48240 3.32046i 0.202069 0.192673i
\(298\) −30.2212 + 52.3447i −1.75067 + 3.03225i
\(299\) 9.90204 + 19.6992i 0.572650 + 1.13924i
\(300\) 41.0704 2.37120
\(301\) −3.61075 + 9.90672i −0.208120 + 0.571014i
\(302\) 37.7504 43.5663i 2.17229 2.50696i
\(303\) 0.803539 16.8684i 0.0461621 0.969063i
\(304\) 25.9129 + 20.3781i 1.48620 + 1.16876i
\(305\) 0.454814 + 9.54773i 0.0260426 + 0.546701i
\(306\) 2.81293 3.95021i 0.160805 0.225818i
\(307\) −0.399786 0.461378i −0.0228170 0.0263322i 0.744226 0.667927i \(-0.232818\pi\)
−0.767043 + 0.641595i \(0.778273\pi\)
\(308\) 35.0200 + 50.9164i 1.99545 + 2.90123i
\(309\) −2.71513 + 5.94530i −0.154458 + 0.338216i
\(310\) −58.6993 55.9696i −3.33389 3.17886i
\(311\) −3.18683 + 13.1363i −0.180708 + 0.744890i 0.807255 + 0.590203i \(0.200952\pi\)
−0.987963 + 0.154687i \(0.950563\pi\)
\(312\) 19.9269 + 27.9834i 1.12814 + 1.58425i
\(313\) −6.28001 + 4.93865i −0.354967 + 0.279149i −0.779679 0.626179i \(-0.784618\pi\)
0.424712 + 0.905328i \(0.360375\pi\)
\(314\) −11.8991 13.7323i −0.671508 0.774961i
\(315\) −1.53798 + 9.58436i −0.0866554 + 0.540018i
\(316\) 30.4662 19.5794i 1.71385 1.10143i
\(317\) −23.0359 + 9.22218i −1.29382 + 0.517969i −0.913483 0.406877i \(-0.866618\pi\)
−0.380342 + 0.924846i \(0.624194\pi\)
\(318\) 13.0089 6.70655i 0.729502 0.376085i
\(319\) 4.26899 + 12.3344i 0.239018 + 0.690596i
\(320\) 7.53511 + 31.0601i 0.421225 + 1.73632i
\(321\) −13.7395 −0.766866
\(322\) −33.1282 2.46051i −1.84616 0.137119i
\(323\) −6.19609 −0.344760
\(324\) 1.14442 + 4.71738i 0.0635792 + 0.262077i
\(325\) −12.7219 36.7574i −0.705683 2.03894i
\(326\) 42.1478 21.7287i 2.33435 1.20344i
\(327\) 4.27227 1.71036i 0.236257 0.0945830i
\(328\) 45.8230 29.4487i 2.53015 1.62603i
\(329\) 2.96677 + 2.41244i 0.163564 + 0.133002i
\(330\) −30.2665 34.9294i −1.66612 1.92280i
\(331\) 2.93746 2.31004i 0.161457 0.126971i −0.534162 0.845382i \(-0.679373\pi\)
0.695619 + 0.718411i \(0.255130\pi\)
\(332\) −18.6266 26.1574i −1.02227 1.43557i
\(333\) 0.618290 2.54863i 0.0338821 0.139664i
\(334\) −23.9453 22.8318i −1.31023 1.24930i
\(335\) −9.36123 + 20.4982i −0.511459 + 1.11994i
\(336\) −25.9927 + 2.05478i −1.41802 + 0.112097i
\(337\) 9.96816 + 11.5039i 0.543000 + 0.626656i 0.959238 0.282600i \(-0.0911970\pi\)
−0.416238 + 0.909256i \(0.636652\pi\)
\(338\) 12.3543 17.3493i 0.671988 0.943675i
\(339\) −0.295700 6.20751i −0.0160602 0.337145i
\(340\) −25.9308 20.3922i −1.40629 1.10592i
\(341\) −1.93322 + 40.5833i −0.104690 + 2.19771i
\(342\) 5.73503 6.61858i 0.310115 0.357892i
\(343\) 8.50845 16.4501i 0.459413 0.888223i
\(344\) 29.7804 1.60565
\(345\) 17.5831 0.657479i 0.946642 0.0353975i
\(346\) 3.49346 6.05085i 0.187810 0.325296i
\(347\) 13.1690 12.5566i 0.706948 0.674074i −0.248701 0.968580i \(-0.580004\pi\)
0.955649 + 0.294506i \(0.0951552\pi\)
\(348\) −12.9296 2.49198i −0.693101 0.133584i
\(349\) −2.73969 1.76069i −0.146652 0.0942477i 0.465257 0.885176i \(-0.345962\pi\)
−0.611909 + 0.790928i \(0.709598\pi\)
\(350\) 57.3577 + 12.0283i 3.06590 + 0.642940i
\(351\) 3.86750 2.48549i 0.206432 0.132666i
\(352\) 30.2995 42.5497i 1.61497 2.26791i
\(353\) −6.41158 + 1.23573i −0.341254 + 0.0657713i −0.356999 0.934105i \(-0.616200\pi\)
0.0157451 + 0.999876i \(0.494988\pi\)
\(354\) 15.8248 + 6.33531i 0.841080 + 0.336718i
\(355\) 21.9220 2.09329i 1.16350 0.111101i
\(356\) 56.6104 16.6223i 3.00035 0.880981i
\(357\) 3.60150 3.32357i 0.190612 0.175902i
\(358\) 21.8961 47.9458i 1.15725 2.53401i
\(359\) 12.6316 9.93359i 0.666670 0.524275i −0.226491 0.974013i \(-0.572725\pi\)
0.893160 + 0.449738i \(0.148483\pi\)
\(360\) 26.9203 5.18847i 1.41883 0.273456i
\(361\) 7.77500 + 0.742423i 0.409211 + 0.0390749i
\(362\) 16.3742 + 8.44149i 0.860609 + 0.443675i
\(363\) −1.72949 + 12.0289i −0.0907749 + 0.631353i
\(364\) 23.6482 + 54.1007i 1.23950 + 2.83565i
\(365\) 29.9909 34.6114i 1.56980 1.81164i
\(366\) 1.60807 + 6.62854i 0.0840550 + 0.346480i
\(367\) −15.1573 + 26.2531i −0.791202 + 1.37040i 0.134021 + 0.990979i \(0.457211\pi\)
−0.925223 + 0.379424i \(0.876122\pi\)
\(368\) 12.8511 + 45.4821i 0.669911 + 2.37092i
\(369\) −3.64470 6.31280i −0.189735 0.328631i
\(370\) −24.1702 7.09701i −1.25655 0.368956i
\(371\) 14.2577 3.93499i 0.740221 0.204295i
\(372\) −34.4815 22.1599i −1.78778 1.14894i
\(373\) 33.2841 13.3249i 1.72338 0.689939i 0.723385 0.690445i \(-0.242585\pi\)
1.00000 0.000505590i \(0.000160934\pi\)
\(374\) 1.11027 + 23.3075i 0.0574109 + 1.20520i
\(375\) −12.6397 1.20694i −0.652710 0.0623262i
\(376\) 3.53226 10.2058i 0.182162 0.526324i
\(377\) 1.77477 + 12.3438i 0.0914051 + 0.635736i
\(378\) 0.216689 + 6.92333i 0.0111453 + 0.356098i
\(379\) 18.0775 5.30805i 0.928581 0.272656i 0.217739 0.976007i \(-0.430132\pi\)
0.710843 + 0.703351i \(0.248314\pi\)
\(380\) −43.1162 41.1112i −2.21182 2.10896i
\(381\) −2.78101 3.90538i −0.142475 0.200079i
\(382\) 53.9754 + 21.6085i 2.76162 + 1.10559i
\(383\) −1.17780 + 3.40304i −0.0601830 + 0.173887i −0.971084 0.238737i \(-0.923267\pi\)
0.910901 + 0.412624i \(0.135388\pi\)
\(384\) 0.454911 + 0.996116i 0.0232146 + 0.0508328i
\(385\) −22.6907 40.8251i −1.15643 2.08064i
\(386\) 2.34909 16.3383i 0.119565 0.831596i
\(387\) 0.189630 3.98083i 0.00963944 0.202357i
\(388\) 11.7127 + 33.8415i 0.594621 + 1.71804i
\(389\) 15.1920 14.4855i 0.770264 0.734445i −0.199126 0.979974i \(-0.563810\pi\)
0.969389 + 0.245529i \(0.0789617\pi\)
\(390\) −22.0794 38.2426i −1.11803 1.93649i
\(391\) −7.18305 5.22653i −0.363262 0.264317i
\(392\) −51.8807 6.66792i −2.62037 0.336781i
\(393\) 17.8846 + 5.25140i 0.902160 + 0.264898i
\(394\) 33.3848 + 6.43438i 1.68190 + 0.324160i
\(395\) −24.3292 + 12.5426i −1.22413 + 0.631085i
\(396\) −18.3599 14.4384i −0.922621 0.725557i
\(397\) 32.8819 + 16.9518i 1.65030 + 0.850787i 0.995477 + 0.0950009i \(0.0302854\pi\)
0.654819 + 0.755786i \(0.272745\pi\)
\(398\) −1.16399 2.54878i −0.0583455 0.127759i
\(399\) 7.04510 5.35668i 0.352696 0.268169i
\(400\) −11.8663 82.5320i −0.593315 4.12660i
\(401\) −20.3265 + 1.94095i −1.01506 + 0.0969263i −0.589303 0.807912i \(-0.700598\pi\)
−0.425755 + 0.904838i \(0.639991\pi\)
\(402\) −3.79108 + 15.6270i −0.189082 + 0.779406i
\(403\) −9.15191 + 37.7247i −0.455889 + 1.87920i
\(404\) −81.6044 + 7.79227i −4.05997 + 0.387680i
\(405\) −0.522138 3.63155i −0.0259452 0.180453i
\(406\) −17.3273 7.26694i −0.859942 0.360652i
\(407\) 5.24211 + 11.4786i 0.259842 + 0.568974i
\(408\) −12.3026 6.34243i −0.609069 0.313997i
\(409\) −1.39704 1.09864i −0.0690790 0.0543243i 0.583022 0.812456i \(-0.301870\pi\)
−0.652101 + 0.758132i \(0.726112\pi\)
\(410\) −62.2338 + 32.0838i −3.07351 + 1.58450i
\(411\) 19.5705 + 3.77191i 0.965344 + 0.186055i
\(412\) 30.4417 + 8.93849i 1.49976 + 0.440368i
\(413\) 14.3377 + 9.54831i 0.705515 + 0.469842i
\(414\) 12.2315 2.83522i 0.601143 0.139343i
\(415\) 12.1353 + 21.0189i 0.595696 + 1.03178i
\(416\) 36.1200 34.4404i 1.77093 1.68858i
\(417\) 0.595998 + 1.72202i 0.0291862 + 0.0843279i
\(418\) −2.00507 + 42.0915i −0.0980709 + 2.05876i
\(419\) 1.61150 11.2083i 0.0787272 0.547559i −0.911842 0.410542i \(-0.865339\pi\)
0.990569 0.137017i \(-0.0437515\pi\)
\(420\) 47.1135 + 0.768570i 2.29890 + 0.0375024i
\(421\) −3.29667 7.21869i −0.160670 0.351817i 0.812126 0.583482i \(-0.198310\pi\)
−0.972796 + 0.231665i \(0.925583\pi\)
\(422\) 12.9921 37.5382i 0.632445 1.82733i
\(423\) −1.34174 0.537153i −0.0652377 0.0261173i
\(424\) −24.2313 34.0281i −1.17677 1.65255i
\(425\) 11.3422 + 10.8148i 0.550179 + 0.524594i
\(426\) 15.0777 4.42723i 0.730519 0.214500i
\(427\) 0.215633 + 6.88959i 0.0104352 + 0.333411i
\(428\) 9.49164 + 66.0158i 0.458796 + 3.19099i
\(429\) −7.23505 + 20.9043i −0.349311 + 1.00927i
\(430\) −38.1073 3.63881i −1.83770 0.175479i
\(431\) −1.20779 25.3547i −0.0581773 1.22129i −0.819562 0.572991i \(-0.805783\pi\)
0.761385 0.648300i \(-0.224520\pi\)
\(432\) 9.14905 3.66273i 0.440184 0.176223i
\(433\) −14.8296 9.53037i −0.712663 0.458001i 0.133415 0.991060i \(-0.457406\pi\)
−0.846078 + 0.533060i \(0.821042\pi\)
\(434\) −41.6659 41.0465i −2.00003 1.97030i
\(435\) 9.54913 + 2.80388i 0.457846 + 0.134436i
\(436\) −11.1693 19.3459i −0.534914 0.926498i
\(437\) −12.0161 10.6290i −0.574806 0.508454i
\(438\) 16.3401 28.3019i 0.780761 1.35232i
\(439\) −8.25360 34.0218i −0.393923 1.62377i −0.731057 0.682316i \(-0.760973\pi\)
0.337135 0.941456i \(-0.390542\pi\)
\(440\) −86.3872 + 99.6961i −4.11835 + 4.75283i
\(441\) −1.22167 + 6.89257i −0.0581749 + 0.328218i
\(442\) −3.17280 + 22.0673i −0.150915 + 1.04963i
\(443\) −0.598374 0.308483i −0.0284296 0.0146565i 0.443953 0.896050i \(-0.353576\pi\)
−0.472383 + 0.881394i \(0.656606\pi\)
\(444\) −12.6728 1.21011i −0.601424 0.0574291i
\(445\) −43.7875 + 8.43935i −2.07573 + 0.400063i
\(446\) −7.77117 + 6.11132i −0.367976 + 0.289379i
\(447\) 9.59059 21.0005i 0.453619 0.993288i
\(448\) 5.06774 + 22.4841i 0.239428 + 1.06227i
\(449\) 3.36224 0.987244i 0.158674 0.0465909i −0.201431 0.979503i \(-0.564559\pi\)
0.360105 + 0.932912i \(0.382741\pi\)
\(450\) −22.0505 + 2.10556i −1.03947 + 0.0992572i
\(451\) 32.5620 + 13.0359i 1.53329 + 0.613835i
\(452\) −29.6216 + 5.70909i −1.39328 + 0.268533i
\(453\) −12.7722 + 17.9360i −0.600089 + 0.842707i
\(454\) −48.5809 + 31.2211i −2.28002 + 1.46528i
\(455\) −13.9059 42.4040i −0.651919 1.98793i
\(456\) −21.0281 13.5140i −0.984732 0.632849i
\(457\) −12.7299 2.45349i −0.595480 0.114769i −0.117399 0.993085i \(-0.537456\pi\)
−0.478082 + 0.878315i \(0.658668\pi\)
\(458\) 35.2494 33.6103i 1.64710 1.57050i
\(459\) −0.926147 + 1.60413i −0.0432288 + 0.0748745i
\(460\) −15.3059 84.0292i −0.713643 3.91788i
\(461\) 14.5179 0.676166 0.338083 0.941116i \(-0.390221\pi\)
0.338083 + 0.941116i \(0.390221\pi\)
\(462\) −21.4124 25.5413i −0.996194 1.18829i
\(463\) −15.9966 + 18.4611i −0.743426 + 0.857959i −0.993914 0.110160i \(-0.964864\pi\)
0.250488 + 0.968120i \(0.419409\pi\)
\(464\) −1.27199 + 26.7024i −0.0590508 + 1.23963i
\(465\) 24.3516 + 19.1503i 1.12928 + 0.888073i
\(466\) −0.647199 13.5864i −0.0299809 0.629377i
\(467\) −5.83255 + 8.19068i −0.269898 + 0.379019i −0.927174 0.374631i \(-0.877769\pi\)
0.657276 + 0.753650i \(0.271709\pi\)
\(468\) −14.6141 16.8656i −0.675536 0.779610i
\(469\) −6.99088 + 14.6698i −0.322809 + 0.677390i
\(470\) −5.76693 + 12.6278i −0.266009 + 0.582478i
\(471\) 5.02304 + 4.78946i 0.231450 + 0.220687i
\(472\) 11.4703 47.2811i 0.527962 2.17629i
\(473\) 11.1234 + 15.6206i 0.511452 + 0.718235i
\(474\) −15.3533 + 12.0740i −0.705201 + 0.554577i
\(475\) 18.5339 + 21.3892i 0.850393 + 0.981406i
\(476\) −18.4571 15.0085i −0.845982 0.687913i
\(477\) −4.70291 + 3.02238i −0.215332 + 0.138385i
\(478\) −13.6203 + 5.45273i −0.622977 + 0.249402i
\(479\) −0.151712 + 0.0782131i −0.00693191 + 0.00357365i −0.461689 0.887042i \(-0.652756\pi\)
0.454757 + 0.890616i \(0.349726\pi\)
\(480\) −13.0268 37.6385i −0.594590 1.71796i
\(481\) 2.84247 + 11.7168i 0.129606 + 0.534241i
\(482\) 47.0466 2.14292
\(483\) 12.6858 0.267247i 0.577222 0.0121601i
\(484\) 58.9913 2.68142
\(485\) −6.38119 26.3036i −0.289755 1.19439i
\(486\) −0.856282 2.47406i −0.0388417 0.112226i
\(487\) −22.9325 + 11.8225i −1.03917 + 0.535730i −0.891365 0.453286i \(-0.850252\pi\)
−0.147807 + 0.989016i \(0.547221\pi\)
\(488\) 18.0735 7.23555i 0.818150 0.327538i
\(489\) −15.2371 + 9.79226i −0.689044 + 0.442821i
\(490\) 65.5723 + 14.8715i 2.96225 + 0.671827i
\(491\) 0.852871 + 0.984266i 0.0384895 + 0.0444193i 0.774668 0.632368i \(-0.217917\pi\)
−0.736178 + 0.676788i \(0.763372\pi\)
\(492\) −27.8139 + 21.8731i −1.25395 + 0.986116i
\(493\) −2.91452 4.09288i −0.131264 0.184334i
\(494\) −9.49202 + 39.1266i −0.427066 + 1.76039i
\(495\) 12.7766 + 12.1824i 0.574263 + 0.547559i
\(496\) −34.5683 + 75.6940i −1.55216 + 3.39876i
\(497\) 15.8311 1.25148i 0.710123 0.0561368i
\(498\) 11.3415 + 13.0888i 0.508226 + 0.586525i
\(499\) 9.28919 13.0448i 0.415841 0.583967i −0.552526 0.833495i \(-0.686336\pi\)
0.968368 + 0.249528i \(0.0802756\pi\)
\(500\) 2.93270 + 61.5650i 0.131154 + 2.75327i
\(501\) 9.93379 + 7.81202i 0.443809 + 0.349015i
\(502\) −0.457187 + 9.59753i −0.0204052 + 0.428359i
\(503\) 2.53380 2.92417i 0.112977 0.130382i −0.696444 0.717611i \(-0.745236\pi\)
0.809421 + 0.587229i \(0.199781\pi\)
\(504\) 19.4715 3.42442i 0.867331 0.152536i
\(505\) 61.9584 2.75711
\(506\) −37.8295 + 47.1048i −1.68173 + 2.09407i
\(507\) −4.06762 + 7.04532i −0.180649 + 0.312894i
\(508\) −16.8434 + 16.0601i −0.747304 + 0.712553i
\(509\) −7.17508 1.38288i −0.318030 0.0612953i 0.0277382 0.999615i \(-0.491170\pi\)
−0.345768 + 0.938320i \(0.612382\pi\)
\(510\) 14.9675 + 9.61905i 0.662774 + 0.425939i
\(511\) 22.0316 24.6033i 0.974622 1.08838i
\(512\) −33.9008 + 21.7867i −1.49822 + 0.962847i
\(513\) −1.94034 + 2.72483i −0.0856682 + 0.120304i
\(514\) 55.1605 10.6313i 2.43302 0.468927i
\(515\) −22.2619 8.91234i −0.980979 0.392725i
\(516\) −19.2581 + 1.83893i −0.847791 + 0.0809542i
\(517\) 6.67253 1.95923i 0.293458 0.0861669i
\(518\) −17.3441 5.40149i −0.762055 0.237328i
\(519\) −1.10864 + 2.42758i −0.0486638 + 0.106559i
\(520\) −99.0732 + 77.9120i −4.34465 + 3.41667i
\(521\) 15.7123 3.02830i 0.688368 0.132672i 0.166940 0.985967i \(-0.446612\pi\)
0.521428 + 0.853295i \(0.325399\pi\)
\(522\) 7.06961 + 0.675065i 0.309428 + 0.0295468i
\(523\) −11.2336 5.79132i −0.491210 0.253237i 0.194780 0.980847i \(-0.437601\pi\)
−0.685991 + 0.727610i \(0.740631\pi\)
\(524\) 12.8768 89.5599i 0.562525 3.91244i
\(525\) −22.2460 2.49102i −0.970897 0.108717i
\(526\) −12.6569 + 14.6068i −0.551865 + 0.636887i
\(527\) −3.68738 15.1996i −0.160625 0.662104i
\(528\) −23.7097 + 41.0664i −1.03183 + 1.78718i
\(529\) −4.96428 22.4579i −0.215838 0.976429i
\(530\) 26.8487 + 46.5034i 1.16623 + 2.01998i
\(531\) −6.24715 1.83433i −0.271103 0.0796031i
\(532\) −30.6047 30.1498i −1.32688 1.30716i
\(533\) 28.1917 + 18.1177i 1.22112 + 0.784766i
\(534\) −29.5416 + 11.8267i −1.27839 + 0.511791i
\(535\) −2.39855 50.3518i −0.103698 2.17690i
\(536\) 45.6889 + 4.36276i 1.97346 + 0.188443i
\(537\) −6.58482 + 19.0256i −0.284156 + 0.821015i
\(538\) 2.18370 + 15.1879i 0.0941458 + 0.654799i
\(539\) −15.8806 29.7033i −0.684026 1.27941i
\(540\) −17.0882 + 5.01754i −0.735358 + 0.215921i
\(541\) −9.95621 9.49323i −0.428051 0.408146i 0.445189 0.895437i \(-0.353137\pi\)
−0.873240 + 0.487291i \(0.837985\pi\)
\(542\) −0.911108 1.27947i −0.0391354 0.0549580i
\(543\) −6.53251 2.61522i −0.280337 0.112230i
\(544\) −6.57678 + 19.0024i −0.281977 + 0.814719i
\(545\) 7.01383 + 15.3581i 0.300439 + 0.657871i
\(546\) −15.4702 27.8340i −0.662063 1.19119i
\(547\) −1.30216 + 9.05669i −0.0556762 + 0.387236i 0.942862 + 0.333184i \(0.108123\pi\)
−0.998538 + 0.0540526i \(0.982786\pi\)
\(548\) 4.60346 96.6384i 0.196650 4.12819i
\(549\) −0.852109 2.46201i −0.0363671 0.105076i
\(550\) 77.1378 73.5508i 3.28917 3.13621i
\(551\) −4.53696 7.85825i −0.193281 0.334773i
\(552\) −12.9783 33.4042i −0.552395 1.42178i
\(553\) −17.6897 + 8.75747i −0.752244 + 0.372405i
\(554\) −0.0907875 0.0266576i −0.00385719 0.00113257i
\(555\) 9.44798 + 1.82095i 0.401045 + 0.0772950i
\(556\) 7.86226 4.05328i 0.333434 0.171897i
\(557\) −22.5461 17.7305i −0.955310 0.751264i 0.0132841 0.999912i \(-0.495771\pi\)
−0.968594 + 0.248648i \(0.920014\pi\)
\(558\) 19.6490 + 10.1298i 0.831808 + 0.428827i
\(559\) 7.61117 + 16.6661i 0.321918 + 0.704902i
\(560\) −12.0679 94.8978i −0.509960 4.01016i
\(561\) −1.26841 8.82199i −0.0535523 0.372465i
\(562\) 19.0686 1.82083i 0.804362 0.0768073i
\(563\) −3.41560 + 14.0793i −0.143950 + 0.593372i 0.853441 + 0.521189i \(0.174511\pi\)
−0.997391 + 0.0721822i \(0.977004\pi\)
\(564\) −1.65400 + 6.81789i −0.0696461 + 0.287085i
\(565\) 22.6972 2.16732i 0.954880 0.0911800i
\(566\) −7.27401 50.5918i −0.305749 2.12653i
\(567\) −0.333764 2.62461i −0.0140168 0.110223i
\(568\) −18.6322 40.7988i −0.781789 1.71188i
\(569\) −10.2518 5.28519i −0.429780 0.221567i 0.229743 0.973251i \(-0.426211\pi\)
−0.659523 + 0.751684i \(0.729242\pi\)
\(570\) 25.2565 + 19.8619i 1.05788 + 0.831925i
\(571\) 12.3278 6.35542i 0.515902 0.265966i −0.180554 0.983565i \(-0.557789\pi\)
0.696457 + 0.717599i \(0.254759\pi\)
\(572\) 105.439 + 20.3218i 4.40864 + 0.849695i
\(573\) −21.3078 6.25654i −0.890147 0.261371i
\(574\) −45.2502 + 22.4015i −1.88870 + 0.935021i
\(575\) 3.44384 + 40.4300i 0.143618 + 1.68605i
\(576\) −4.35569 7.54427i −0.181487 0.314345i
\(577\) 18.7834 17.9099i 0.781962 0.745599i −0.189733 0.981836i \(-0.560762\pi\)
0.971696 + 0.236236i \(0.0759139\pi\)
\(578\) 11.6189 + 33.5706i 0.483283 + 1.39635i
\(579\) −0.299994 + 6.29764i −0.0124673 + 0.261721i
\(580\) 6.87530 47.8187i 0.285481 1.98556i
\(581\) 8.50271 + 15.2981i 0.352752 + 0.634672i
\(582\) −8.02343 17.5689i −0.332582 0.728253i
\(583\) 8.79788 25.4198i 0.364371 1.05278i
\(584\) −86.5949 34.6674i −3.58332 1.43455i
\(585\) 9.78383 + 13.7395i 0.404512 + 0.568057i
\(586\) −31.1641 29.7149i −1.28738 1.22751i
\(587\) 19.0688 5.59912i 0.787055 0.231100i 0.136581 0.990629i \(-0.456388\pi\)
0.650474 + 0.759529i \(0.274570\pi\)
\(588\) 33.9614 + 1.10833i 1.40055 + 0.0457068i
\(589\) −4.01974 27.9579i −0.165630 1.15199i
\(590\) −20.4546 + 59.0998i −0.842104 + 2.43310i
\(591\) −12.9276 1.23444i −0.531771 0.0507780i
\(592\) 1.22976 + 25.8159i 0.0505430 + 1.06103i
\(593\) 2.07888 0.832259i 0.0853695 0.0341768i −0.328585 0.944475i \(-0.606572\pi\)
0.413954 + 0.910298i \(0.364147\pi\)
\(594\) 10.5976 + 6.81063i 0.434823 + 0.279444i
\(595\) 12.8087 + 12.6183i 0.525107 + 0.517301i
\(596\) −107.529 31.5732i −4.40454 1.29329i
\(597\) 0.535128 + 0.926869i 0.0219013 + 0.0379342i
\(598\) −44.0081 + 37.3523i −1.79962 + 1.52745i
\(599\) 19.5025 33.7793i 0.796850 1.38019i −0.124807 0.992181i \(-0.539831\pi\)
0.921658 0.388004i \(-0.126835\pi\)
\(600\) 14.9054 + 61.4409i 0.608510 + 2.50831i
\(601\) −11.9907 + 13.8380i −0.489111 + 0.564464i −0.945628 0.325250i \(-0.894551\pi\)
0.456517 + 0.889715i \(0.349097\pi\)
\(602\) −27.4339 3.07194i −1.11812 0.125203i
\(603\) 0.874110 6.07957i 0.0355965 0.247579i
\(604\) 95.0024 + 48.9771i 3.86559 + 1.99285i
\(605\) −44.3847 4.23822i −1.80449 0.172308i
\(606\) 43.4134 8.36725i 1.76355 0.339896i
\(607\) 9.79997 7.70678i 0.397768 0.312809i −0.399161 0.916881i \(-0.630699\pi\)
0.796930 + 0.604072i \(0.206456\pi\)
\(608\) −15.0854 + 33.0323i −0.611792 + 1.33964i
\(609\) 6.85228 + 2.13402i 0.277668 + 0.0864747i
\(610\) −24.0111 + 7.05031i −0.972183 + 0.285459i
\(611\) 6.61427 0.631586i 0.267585 0.0255512i
\(612\) 8.34736 + 3.34178i 0.337422 + 0.135083i
\(613\) 5.45688 1.05173i 0.220401 0.0424788i −0.0778551 0.996965i \(-0.524807\pi\)
0.298256 + 0.954486i \(0.403595\pi\)
\(614\) 0.927103 1.30193i 0.0374148 0.0525418i
\(615\) 22.4985 14.4589i 0.907226 0.583039i
\(616\) −63.4609 + 70.8683i −2.55691 + 2.85536i
\(617\) 2.08061 + 1.33713i 0.0837622 + 0.0538307i 0.581852 0.813295i \(-0.302328\pi\)
−0.498089 + 0.867126i \(0.665965\pi\)
\(618\) −16.8022 3.23836i −0.675885 0.130266i
\(619\) −19.0939 + 18.2060i −0.767450 + 0.731762i −0.968823 0.247752i \(-0.920308\pi\)
0.201373 + 0.979515i \(0.435460\pi\)
\(620\) 75.1907 130.234i 3.01973 5.23032i
\(621\) −4.54787 + 1.52214i −0.182500 + 0.0610815i
\(622\) −35.3891 −1.41897
\(623\) −31.6716 + 5.57002i −1.26890 + 0.223158i
\(624\) −29.6694 + 34.2403i −1.18773 + 1.37071i
\(625\) 0.203684 4.27586i 0.00814738 0.171035i
\(626\) −16.4414 12.9297i −0.657131 0.516773i
\(627\) −0.765860 16.0774i −0.0305855 0.642069i
\(628\) 19.5424 27.4434i 0.779826 1.09511i
\(629\) −3.18114 3.67123i −0.126840 0.146382i
\(630\) −25.3344 + 2.00273i −1.00935 + 0.0797909i
\(631\) −0.344492 + 0.754333i −0.0137140 + 0.0300295i −0.916365 0.400344i \(-0.868891\pi\)
0.902651 + 0.430373i \(0.141618\pi\)
\(632\) 40.3475 + 38.4712i 1.60494 + 1.53030i
\(633\) −3.57709 + 14.7450i −0.142177 + 0.586060i
\(634\) −37.6820 52.9170i −1.49655 2.10160i
\(635\) 13.8267 10.8734i 0.548695 0.431499i
\(636\) 17.7708 + 20.5086i 0.704660 + 0.813221i
\(637\) −9.52788 30.7384i −0.377508 1.21790i
\(638\) −28.7470 + 18.4746i −1.13811 + 0.731416i
\(639\) −5.57232 + 2.23082i −0.220438 + 0.0882499i
\(640\) −3.57109 + 1.84102i −0.141160 + 0.0727728i
\(641\) −5.92903 17.1308i −0.234182 0.676626i −0.999458 0.0329228i \(-0.989518\pi\)
0.765275 0.643703i \(-0.222603\pi\)
\(642\) −8.48045 34.9569i −0.334697 1.37964i
\(643\) 35.2477 1.39003 0.695017 0.718993i \(-0.255397\pi\)
0.695017 + 0.718993i \(0.255397\pi\)
\(644\) −10.0477 60.7680i −0.395936 2.39460i
\(645\) 14.6218 0.575732
\(646\) −3.82441 15.7644i −0.150469 0.620244i
\(647\) 15.7295 + 45.4475i 0.618392 + 1.78673i 0.617302 + 0.786727i \(0.288226\pi\)
0.00109031 + 0.999999i \(0.499653\pi\)
\(648\) −6.64182 + 3.42410i −0.260915 + 0.134511i
\(649\) 29.0844 11.6436i 1.14166 0.457053i
\(650\) 85.6681 55.0555i 3.36018 2.15946i
\(651\) 17.3331 + 14.0944i 0.679337 + 0.552405i
\(652\) 57.5761 + 66.4464i 2.25485 + 2.60224i
\(653\) −24.9537 + 19.6238i −0.976513 + 0.767938i −0.972703 0.232055i \(-0.925455\pi\)
−0.00380996 + 0.999993i \(0.501213\pi\)
\(654\) 6.98856 + 9.81406i 0.273274 + 0.383760i
\(655\) −16.1228 + 66.4592i −0.629971 + 2.59677i
\(656\) 51.9908 + 49.5731i 2.02990 + 1.93550i
\(657\) −5.18547 + 11.3546i −0.202305 + 0.442985i
\(658\) −4.30669 + 9.03727i −0.167892 + 0.352309i
\(659\) −27.6818 31.9465i −1.07833 1.24446i −0.968103 0.250552i \(-0.919388\pi\)
−0.110226 0.993906i \(-0.535158\pi\)
\(660\) 49.7078 69.8048i 1.93487 2.71715i
\(661\) 0.183501 + 3.85217i 0.00713737 + 0.149832i 0.999623 + 0.0274680i \(0.00874445\pi\)
−0.992485 + 0.122364i \(0.960953\pi\)
\(662\) 7.69042 + 6.04781i 0.298897 + 0.235055i
\(663\) 0.405187 8.50592i 0.0157361 0.330342i
\(664\) 32.3712 37.3583i 1.25625 1.44978i
\(665\) 20.8607 + 24.8833i 0.808943 + 0.964933i
\(666\) 6.86599 0.266052
\(667\) 1.36895 12.9370i 0.0530059 0.500922i
\(668\) 30.6727 53.1267i 1.18676 2.05553i
\(669\) 2.73297 2.60588i 0.105663 0.100749i
\(670\) −57.9308 11.1652i −2.23806 0.431351i
\(671\) 10.5459 + 6.77744i 0.407120 + 0.261640i
\(672\) −8.95008 27.2919i −0.345257 1.05281i
\(673\) 21.7296 13.9647i 0.837613 0.538301i −0.0500758 0.998745i \(-0.515946\pi\)
0.887689 + 0.460444i \(0.152310\pi\)
\(674\) −23.1162 + 32.4621i −0.890401 + 1.25039i
\(675\) 8.30787 1.60121i 0.319770 0.0616306i
\(676\) 36.6614 + 14.6770i 1.41006 + 0.564501i
\(677\) 2.25827 0.215638i 0.0867923 0.00828766i −0.0515695 0.998669i \(-0.516422\pi\)
0.138362 + 0.990382i \(0.455816\pi\)
\(678\) 15.6110 4.58380i 0.599536 0.176040i
\(679\) −4.29167 19.0409i −0.164699 0.730723i
\(680\) 21.0956 46.1930i 0.808980 1.77142i
\(681\) 17.3385 13.6352i 0.664413 0.522500i
\(682\) −104.448 + 20.1306i −3.99951 + 0.770842i
\(683\) −2.73538 0.261197i −0.104666 0.00999443i 0.0425914 0.999093i \(-0.486439\pi\)
−0.147258 + 0.989098i \(0.547045\pi\)
\(684\) 14.4327 + 7.44059i 0.551849 + 0.284498i
\(685\) −10.4066 + 72.3793i −0.397615 + 2.76547i
\(686\) 47.1050 + 11.4942i 1.79848 + 0.438849i
\(687\) −12.1827 + 14.0596i −0.464799 + 0.536406i
\(688\) 9.25954 + 38.1683i 0.353017 + 1.45515i
\(689\) 12.8503 22.2574i 0.489558 0.847939i
\(690\) 12.5256 + 44.3301i 0.476842 + 1.68762i
\(691\) 20.1763 + 34.9463i 0.767541 + 1.32942i 0.938893 + 0.344210i \(0.111853\pi\)
−0.171352 + 0.985210i \(0.554813\pi\)
\(692\) 12.4299 + 3.64975i 0.472514 + 0.138743i
\(693\) 9.06905 + 8.93423i 0.344505 + 0.339383i
\(694\) 40.0755 + 25.7550i 1.52125 + 0.977645i
\(695\) −6.20672 + 2.48480i −0.235434 + 0.0942537i
\(696\) −0.964484 20.2470i −0.0365587 0.767461i
\(697\) −13.4410 1.28346i −0.509112 0.0486143i
\(698\) 2.78863 8.05723i 0.105551 0.304971i
\(699\) 0.739379 + 5.14250i 0.0279659 + 0.194507i
\(700\) 3.39928 + 108.609i 0.128481 + 4.10503i
\(701\) −33.9120 + 9.95747i −1.28084 + 0.376088i −0.850212 0.526441i \(-0.823526\pi\)
−0.430628 + 0.902530i \(0.641708\pi\)
\(702\) 8.71087 + 8.30580i 0.328771 + 0.313482i
\(703\) −5.08865 7.14601i −0.191922 0.269517i
\(704\) 38.9141 + 15.5788i 1.46663 + 0.587150i
\(705\) 1.73429 5.01090i 0.0653172 0.188722i
\(706\) −7.10144 15.5500i −0.267266 0.585231i
\(707\) 44.6742 + 0.728777i 1.68015 + 0.0274085i
\(708\) −4.49789 + 31.2835i −0.169041 + 1.17571i
\(709\) 0.997256 20.9350i 0.0374528 0.786230i −0.899531 0.436857i \(-0.856092\pi\)
0.936984 0.349373i \(-0.113605\pi\)
\(710\) 18.8568 + 54.4831i 0.707682 + 2.04471i
\(711\) 5.39946 5.14838i 0.202496 0.193079i
\(712\) 45.4120 + 78.6560i 1.70189 + 2.94776i
\(713\) 18.9230 35.8020i 0.708673 1.34079i
\(714\) 10.6790 + 7.11173i 0.399651 + 0.266150i
\(715\) −77.8718 22.8652i −2.91224 0.855111i
\(716\) 95.9633 + 18.4954i 3.58632 + 0.691206i
\(717\) 4.98090 2.56783i 0.186015 0.0958975i
\(718\) 33.0702 + 26.0067i 1.23417 + 0.970561i
\(719\) −22.5651 11.6331i −0.841536 0.433842i −0.0171383 0.999853i \(-0.505456\pi\)
−0.824398 + 0.566011i \(0.808486\pi\)
\(720\) 15.0201 + 32.8894i 0.559766 + 1.22572i
\(721\) −15.9468 6.68796i −0.593890 0.249073i
\(722\) 2.91005 + 20.2399i 0.108301 + 0.753249i
\(723\) −17.8887 + 1.70816i −0.665288 + 0.0635273i
\(724\) −8.05280 + 33.1941i −0.299280 + 1.23365i
\(725\) −5.41084 + 22.3038i −0.200954 + 0.828342i
\(726\) −31.6721 + 3.02432i −1.17546 + 0.112243i
\(727\) 3.19646 + 22.2319i 0.118550 + 0.824534i 0.959154 + 0.282884i \(0.0912912\pi\)
−0.840604 + 0.541650i \(0.817800\pi\)
\(728\) −72.3516 + 55.0119i −2.68153 + 2.03888i
\(729\) 0.415415 + 0.909632i 0.0153857 + 0.0336901i
\(730\) 106.572 + 54.9415i 3.94439 + 2.03347i
\(731\) −5.80266 4.56326i −0.214619 0.168778i
\(732\) −11.2408 + 5.79504i −0.415472 + 0.214191i
\(733\) −28.2179 5.43856i −1.04225 0.200878i −0.360727 0.932672i \(-0.617471\pi\)
−0.681526 + 0.731794i \(0.738683\pi\)
\(734\) −76.1502 22.3597i −2.81076 0.825312i
\(735\) −25.4727 3.27385i −0.939575 0.120758i
\(736\) −45.3517 + 25.5692i −1.67169 + 0.942492i
\(737\) 14.7770 + 25.5945i 0.544317 + 0.942785i
\(738\) 13.8118 13.1695i 0.508418 0.484776i
\(739\) −11.1623 32.2512i −0.410610 1.18638i −0.940936 0.338586i \(-0.890052\pi\)
0.530326 0.847794i \(-0.322070\pi\)
\(740\) 2.22239 46.6537i 0.0816967 1.71502i
\(741\) 2.18858 15.2219i 0.0803993 0.559190i
\(742\) 18.8119 + 33.8464i 0.690606 + 1.24254i
\(743\) 5.12849 + 11.2298i 0.188146 + 0.411982i 0.980074 0.198632i \(-0.0636499\pi\)
−0.791928 + 0.610614i \(0.790923\pi\)
\(744\) 20.6369 59.6263i 0.756584 2.18601i
\(745\) 78.6354 + 31.4809i 2.88098 + 1.15337i
\(746\) 54.4460 + 76.4587i 1.99341 + 2.79935i
\(747\) −4.78766 4.56502i −0.175171 0.167025i
\(748\) −41.5117 + 12.1889i −1.51782 + 0.445671i
\(749\) −1.13718 36.3336i −0.0415517 1.32760i
\(750\) −4.73081 32.9035i −0.172745 1.20147i
\(751\) −2.53943 + 7.33721i −0.0926652 + 0.267739i −0.981803 0.189900i \(-0.939184\pi\)
0.889138 + 0.457639i \(0.151305\pi\)
\(752\) 14.1786 + 1.35389i 0.517041 + 0.0493714i
\(753\) −0.174628 3.66590i −0.00636381 0.133593i
\(754\) −30.3103 + 12.1344i −1.10384 + 0.441909i
\(755\) −67.9604 43.6755i −2.47333 1.58951i
\(756\) −12.3802 + 3.41683i −0.450263 + 0.124269i
\(757\) −34.4426 10.1133i −1.25184 0.367573i −0.412388 0.911008i \(-0.635305\pi\)
−0.839451 + 0.543435i \(0.817123\pi\)
\(758\) 24.6630 + 42.7176i 0.895802 + 1.55157i
\(759\) 12.6738 19.2843i 0.460028 0.699977i
\(760\) 45.8541 79.4217i 1.66330 2.88093i
\(761\) −5.51258 22.7232i −0.199831 0.823715i −0.980138 0.198318i \(-0.936452\pi\)
0.780307 0.625397i \(-0.215063\pi\)
\(762\) 8.21976 9.48611i 0.297771 0.343645i
\(763\) 4.87657 + 11.1563i 0.176544 + 0.403884i
\(764\) −15.3414 + 106.702i −0.555034 + 3.86035i
\(765\) −6.04040 3.11404i −0.218391 0.112589i
\(766\) −9.38518 0.896176i −0.339100 0.0323802i
\(767\) 29.3916 5.66477i 1.06127 0.204543i
\(768\) 11.4416 8.99778i 0.412864 0.324680i
\(769\) −3.25859 + 7.13531i −0.117508 + 0.257306i −0.959242 0.282586i \(-0.908808\pi\)
0.841734 + 0.539892i \(0.181535\pi\)
\(770\) 89.8643 82.9295i 3.23848 2.98857i
\(771\) −20.5879 + 6.04514i −0.741453 + 0.217710i
\(772\) 30.4662 2.90917i 1.09650 0.104703i
\(773\) −16.0366 6.42007i −0.576795 0.230914i