Properties

Label 384.2.w.a.107.18
Level $384$
Weight $2$
Character 384.107
Analytic conductor $3.066$
Analytic rank $0$
Dimension $992$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 384 = 2^{7} \cdot 3 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 384.w (of order \(32\), degree \(16\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.06625543762\)
Analytic rank: \(0\)
Dimension: \(992\)
Relative dimension: \(62\) over \(\Q(\zeta_{32})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{32}]$

Embedding invariants

Embedding label 107.18
Character \(\chi\) \(=\) 384.107
Dual form 384.2.w.a.323.18

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.833368 + 1.14258i) q^{2} +(1.36501 - 1.06618i) q^{3} +(-0.610995 - 1.90439i) q^{4} +(2.81896 - 0.855121i) q^{5} +(0.0806504 + 2.44816i) q^{6} +(0.140767 - 0.707683i) q^{7} +(2.68510 + 0.888941i) q^{8} +(0.726500 - 2.91070i) q^{9} +O(q^{10})\) \(q+(-0.833368 + 1.14258i) q^{2} +(1.36501 - 1.06618i) q^{3} +(-0.610995 - 1.90439i) q^{4} +(2.81896 - 0.855121i) q^{5} +(0.0806504 + 2.44816i) q^{6} +(0.140767 - 0.707683i) q^{7} +(2.68510 + 0.888941i) q^{8} +(0.726500 - 2.91070i) q^{9} +(-1.37218 + 3.93353i) q^{10} +(0.0513415 - 0.521279i) q^{11} +(-2.86444 - 1.94807i) q^{12} +(-3.43070 - 1.04069i) q^{13} +(0.691276 + 0.750598i) q^{14} +(2.93618 - 4.17278i) q^{15} +(-3.25337 + 2.32714i) q^{16} +(-5.36318 + 2.22150i) q^{17} +(2.72028 + 3.25577i) q^{18} +(5.34574 - 2.85736i) q^{19} +(-3.35085 - 4.84591i) q^{20} +(-0.562372 - 1.11608i) q^{21} +(0.552818 + 0.493079i) q^{22} +(0.0781360 - 0.116939i) q^{23} +(4.61297 - 1.64940i) q^{24} +(3.05794 - 2.04325i) q^{25} +(4.04811 - 3.05258i) q^{26} +(-2.11167 - 4.74772i) q^{27} +(-1.43371 + 0.164316i) q^{28} +(0.731056 + 7.42253i) q^{29} +(2.32083 + 6.83230i) q^{30} +(1.32524 - 1.32524i) q^{31} +(0.0523010 - 5.65661i) q^{32} +(-0.485698 - 0.766290i) q^{33} +(1.93125 - 7.97921i) q^{34} +(-0.208339 - 2.11530i) q^{35} +(-5.98699 + 0.394890i) q^{36} +(5.74636 + 3.07149i) q^{37} +(-1.19020 + 8.48919i) q^{38} +(-5.79250 + 2.23720i) q^{39} +(8.32935 + 0.209797i) q^{40} +(-0.746945 + 1.11788i) q^{41} +(1.74387 + 0.287545i) q^{42} +(3.03909 + 3.70314i) q^{43} +(-1.02408 + 0.220725i) q^{44} +(-0.441033 - 8.82640i) q^{45} +(0.0684963 + 0.186730i) q^{46} +(-2.21408 + 0.917100i) q^{47} +(-1.95972 + 6.64526i) q^{48} +(5.98616 + 2.47955i) q^{49} +(-0.213805 + 5.19673i) q^{50} +(-4.95225 + 8.75051i) q^{51} +(0.114263 + 7.16922i) q^{52} +(-0.658358 + 6.68442i) q^{53} +(7.18447 + 1.54384i) q^{54} +(-0.301027 - 1.51337i) q^{55} +(1.00706 - 1.77507i) q^{56} +(4.25051 - 9.59987i) q^{57} +(-9.09011 - 5.35041i) q^{58} +(11.6777 - 3.54240i) q^{59} +(-9.74057 - 3.04208i) q^{60} +(-7.37808 + 8.99021i) q^{61} +(0.409785 + 2.61861i) q^{62} +(-1.95759 - 0.923862i) q^{63} +(6.41957 + 4.77380i) q^{64} -10.5609 q^{65} +(1.28032 + 0.0836509i) q^{66} +(-8.46451 - 6.94664i) q^{67} +(7.50747 + 8.85623i) q^{68} +(-0.0180220 - 0.242930i) q^{69} +(2.59053 + 1.52478i) q^{70} +(-0.480370 + 2.41498i) q^{71} +(4.53817 - 7.16973i) q^{72} +(11.5716 - 2.30174i) q^{73} +(-8.29827 + 4.00601i) q^{74} +(1.99563 - 6.04938i) q^{75} +(-8.70774 - 8.43452i) q^{76} +(-0.361673 - 0.109712i) q^{77} +(2.27109 - 8.48283i) q^{78} +(0.628034 - 1.51621i) q^{79} +(-7.18112 + 9.34214i) q^{80} +(-7.94440 - 4.22925i) q^{81} +(-0.654794 - 1.78506i) q^{82} +(-0.238211 + 0.127326i) q^{83} +(-1.78183 + 1.75289i) q^{84} +(-13.2189 + 10.8485i) q^{85} +(-6.76383 + 0.386335i) q^{86} +(8.91169 + 9.35239i) q^{87} +(0.601243 - 1.35405i) q^{88} +(-10.2974 + 6.88049i) q^{89} +(10.4524 + 6.85172i) q^{90} +(-1.21941 + 2.28135i) q^{91} +(-0.270437 - 0.0773520i) q^{92} +(0.396014 - 3.22191i) q^{93} +(0.797277 - 3.29405i) q^{94} +(12.6260 - 12.6260i) q^{95} +(-5.95960 - 7.77709i) q^{96} +(-12.0988 - 12.0988i) q^{97} +(-7.82176 + 4.77331i) q^{98} +(-1.47999 - 0.528149i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 992q - 16q^{3} - 32q^{4} - 16q^{6} - 32q^{7} - 16q^{9} + O(q^{10}) \) \( 992q - 16q^{3} - 32q^{4} - 16q^{6} - 32q^{7} - 16q^{9} - 32q^{10} - 16q^{12} - 32q^{13} - 16q^{15} - 32q^{16} - 16q^{18} - 32q^{19} - 16q^{21} - 32q^{22} - 16q^{24} - 32q^{25} - 16q^{27} - 32q^{28} - 16q^{30} - 32q^{31} - 16q^{33} - 32q^{34} - 16q^{36} - 32q^{37} - 16q^{39} - 32q^{40} - 16q^{42} - 32q^{43} - 16q^{45} - 32q^{46} - 16q^{48} - 32q^{49} - 16q^{51} - 128q^{52} - 16q^{54} - 32q^{55} - 16q^{57} - 320q^{58} - 16q^{60} - 32q^{61} - 32q^{63} - 224q^{64} - 16q^{66} - 32q^{67} - 16q^{69} - 224q^{70} - 16q^{72} - 32q^{73} - 16q^{75} - 256q^{76} - 16q^{78} - 32q^{79} - 16q^{81} - 32q^{82} - 16q^{84} - 32q^{85} - 16q^{87} - 32q^{88} - 16q^{90} - 32q^{91} - 16q^{93} - 32q^{94} - 16q^{96} - 32q^{97} - 16q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/384\mathbb{Z}\right)^\times\).

\(n\) \(127\) \(133\) \(257\)
\(\chi(n)\) \(-1\) \(e\left(\frac{13}{32}\right)\) \(-1\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.833368 + 1.14258i −0.589280 + 0.807929i
\(3\) 1.36501 1.06618i 0.788088 0.615562i
\(4\) −0.610995 1.90439i −0.305498 0.952193i
\(5\) 2.81896 0.855121i 1.26068 0.382422i 0.411926 0.911217i \(-0.364856\pi\)
0.848749 + 0.528795i \(0.177356\pi\)
\(6\) 0.0806504 + 2.44816i 0.0329254 + 0.999458i
\(7\) 0.140767 0.707683i 0.0532049 0.267479i −0.945022 0.327008i \(-0.893960\pi\)
0.998227 + 0.0595286i \(0.0189598\pi\)
\(8\) 2.68510 + 0.888941i 0.949328 + 0.314288i
\(9\) 0.726500 2.91070i 0.242167 0.970235i
\(10\) −1.37218 + 3.93353i −0.433922 + 1.24389i
\(11\) 0.0513415 0.521279i 0.0154800 0.157171i −0.984337 0.176297i \(-0.943588\pi\)
0.999817 + 0.0191254i \(0.00608816\pi\)
\(12\) −2.86444 1.94807i −0.826893 0.562359i
\(13\) −3.43070 1.04069i −0.951504 0.288636i −0.223884 0.974616i \(-0.571874\pi\)
−0.727620 + 0.685980i \(0.759374\pi\)
\(14\) 0.691276 + 0.750598i 0.184751 + 0.200606i
\(15\) 2.93618 4.17278i 0.758120 1.07741i
\(16\) −3.25337 + 2.32714i −0.813342 + 0.581785i
\(17\) −5.36318 + 2.22150i −1.30076 + 0.538793i −0.922175 0.386773i \(-0.873590\pi\)
−0.378586 + 0.925566i \(0.623590\pi\)
\(18\) 2.72028 + 3.25577i 0.641176 + 0.767393i
\(19\) 5.34574 2.85736i 1.22640 0.655523i 0.274396 0.961617i \(-0.411522\pi\)
0.952001 + 0.306094i \(0.0990221\pi\)
\(20\) −3.35085 4.84591i −0.749273 1.08358i
\(21\) −0.562372 1.11608i −0.122720 0.243548i
\(22\) 0.552818 + 0.493079i 0.117861 + 0.105125i
\(23\) 0.0781360 0.116939i 0.0162925 0.0243834i −0.823234 0.567702i \(-0.807833\pi\)
0.839526 + 0.543319i \(0.182833\pi\)
\(24\) 4.61297 1.64940i 0.941618 0.336683i
\(25\) 3.05794 2.04325i 0.611588 0.408650i
\(26\) 4.04811 3.05258i 0.793899 0.598660i
\(27\) −2.11167 4.74772i −0.406391 0.913699i
\(28\) −1.43371 + 0.164316i −0.270945 + 0.0310529i
\(29\) 0.731056 + 7.42253i 0.135754 + 1.37833i 0.785821 + 0.618454i \(0.212241\pi\)
−0.650068 + 0.759876i \(0.725259\pi\)
\(30\) 2.32083 + 6.83230i 0.423723 + 1.24740i
\(31\) 1.32524 1.32524i 0.238020 0.238020i −0.578010 0.816030i \(-0.696170\pi\)
0.816030 + 0.578010i \(0.196170\pi\)
\(32\) 0.0523010 5.65661i 0.00924560 0.999957i
\(33\) −0.485698 0.766290i −0.0845491 0.133394i
\(34\) 1.93125 7.97921i 0.331207 1.36842i
\(35\) −0.208339 2.11530i −0.0352157 0.357551i
\(36\) −5.98699 + 0.394890i −0.997832 + 0.0658151i
\(37\) 5.74636 + 3.07149i 0.944695 + 0.504950i 0.870432 0.492288i \(-0.163839\pi\)
0.0742633 + 0.997239i \(0.476339\pi\)
\(38\) −1.19020 + 8.48919i −0.193076 + 1.37713i
\(39\) −5.79250 + 2.23720i −0.927542 + 0.358239i
\(40\) 8.32935 + 0.209797i 1.31699 + 0.0331719i
\(41\) −0.746945 + 1.11788i −0.116653 + 0.174584i −0.885201 0.465208i \(-0.845980\pi\)
0.768548 + 0.639792i \(0.220980\pi\)
\(42\) 1.74387 + 0.287545i 0.269086 + 0.0443692i
\(43\) 3.03909 + 3.70314i 0.463457 + 0.564724i 0.951323 0.308194i \(-0.0997247\pi\)
−0.487866 + 0.872918i \(0.662225\pi\)
\(44\) −1.02408 + 0.220725i −0.154387 + 0.0332755i
\(45\) −0.441033 8.82640i −0.0657454 1.31576i
\(46\) 0.0684963 + 0.186730i 0.0100992 + 0.0275318i
\(47\) −2.21408 + 0.917100i −0.322956 + 0.133773i −0.538271 0.842772i \(-0.680922\pi\)
0.215315 + 0.976545i \(0.430922\pi\)
\(48\) −1.95972 + 6.64526i −0.282861 + 0.959161i
\(49\) 5.98616 + 2.47955i 0.855165 + 0.354221i
\(50\) −0.213805 + 5.19673i −0.0302366 + 0.734928i
\(51\) −4.95225 + 8.75051i −0.693454 + 1.22532i
\(52\) 0.114263 + 7.16922i 0.0158455 + 0.994193i
\(53\) −0.658358 + 6.68442i −0.0904324 + 0.918176i 0.837751 + 0.546053i \(0.183870\pi\)
−0.928183 + 0.372123i \(0.878630\pi\)
\(54\) 7.18447 + 1.54384i 0.977682 + 0.210090i
\(55\) −0.301027 1.51337i −0.0405905 0.204062i
\(56\) 1.00706 1.77507i 0.134574 0.237203i
\(57\) 4.25051 9.59987i 0.562994 1.27153i
\(58\) −9.09011 5.35041i −1.19359 0.702543i
\(59\) 11.6777 3.54240i 1.52031 0.461181i 0.583823 0.811881i \(-0.301556\pi\)
0.936488 + 0.350699i \(0.114056\pi\)
\(60\) −9.74057 3.04208i −1.25750 0.392731i
\(61\) −7.37808 + 8.99021i −0.944666 + 1.15108i 0.0437095 + 0.999044i \(0.486082\pi\)
−0.988375 + 0.152034i \(0.951418\pi\)
\(62\) 0.409785 + 2.61861i 0.0520427 + 0.332564i
\(63\) −1.95759 0.923862i −0.246633 0.116396i
\(64\) 6.41957 + 4.77380i 0.802446 + 0.596725i
\(65\) −10.5609 −1.30992
\(66\) 1.28032 + 0.0836509i 0.157596 + 0.0102967i
\(67\) −8.46451 6.94664i −1.03410 0.848668i −0.0454637 0.998966i \(-0.514477\pi\)
−0.988641 + 0.150298i \(0.951977\pi\)
\(68\) 7.50747 + 8.85623i 0.910414 + 1.07398i
\(69\) −0.0180220 0.242930i −0.00216959 0.0292453i
\(70\) 2.59053 + 1.52478i 0.309628 + 0.182246i
\(71\) −0.480370 + 2.41498i −0.0570094 + 0.286606i −0.998764 0.0496939i \(-0.984175\pi\)
0.941755 + 0.336299i \(0.109175\pi\)
\(72\) 4.53817 7.16973i 0.534829 0.844961i
\(73\) 11.5716 2.30174i 1.35436 0.269398i 0.536052 0.844185i \(-0.319915\pi\)
0.818303 + 0.574787i \(0.194915\pi\)
\(74\) −8.29827 + 4.00601i −0.964654 + 0.465689i
\(75\) 1.99563 6.04938i 0.230436 0.698522i
\(76\) −8.70774 8.43452i −0.998846 0.967506i
\(77\) −0.361673 0.109712i −0.0412164 0.0125029i
\(78\) 2.27109 8.48283i 0.257150 0.960491i
\(79\) 0.628034 1.51621i 0.0706594 0.170587i −0.884604 0.466342i \(-0.845571\pi\)
0.955264 + 0.295756i \(0.0955714\pi\)
\(80\) −7.18112 + 9.34214i −0.802874 + 1.04448i
\(81\) −7.94440 4.22925i −0.882711 0.469917i
\(82\) −0.654794 1.78506i −0.0723099 0.197126i
\(83\) −0.238211 + 0.127326i −0.0261471 + 0.0139759i −0.484418 0.874836i \(-0.660969\pi\)
0.458271 + 0.888812i \(0.348469\pi\)
\(84\) −1.78183 + 1.75289i −0.194414 + 0.191256i
\(85\) −13.2189 + 10.8485i −1.43379 + 1.17668i
\(86\) −6.76383 + 0.386335i −0.729363 + 0.0416595i
\(87\) 8.91169 + 9.35239i 0.955434 + 1.00268i
\(88\) 0.601243 1.35405i 0.0640927 0.144342i
\(89\) −10.2974 + 6.88049i −1.09152 + 0.729331i −0.964899 0.262620i \(-0.915413\pi\)
−0.126622 + 0.991951i \(0.540413\pi\)
\(90\) 10.4524 + 6.85172i 1.10178 + 0.722235i
\(91\) −1.21941 + 2.28135i −0.127829 + 0.239150i
\(92\) −0.270437 0.0773520i −0.0281950 0.00806450i
\(93\) 0.396014 3.22191i 0.0410647 0.334097i
\(94\) 0.797277 3.29405i 0.0822328 0.339755i
\(95\) 12.6260 12.6260i 1.29540 1.29540i
\(96\) −5.95960 7.77709i −0.608249 0.793746i
\(97\) −12.0988 12.0988i −1.22844 1.22844i −0.964552 0.263893i \(-0.914994\pi\)
−0.263893 0.964552i \(-0.585006\pi\)
\(98\) −7.82176 + 4.77331i −0.790117 + 0.482177i
\(99\) −1.47999 0.528149i −0.148744 0.0530809i
\(100\) −5.75952 4.57508i −0.575952 0.457508i
\(101\) −7.09943 3.79473i −0.706420 0.377589i 0.0787293 0.996896i \(-0.474914\pi\)
−0.785149 + 0.619307i \(0.787414\pi\)
\(102\) −5.87113 12.9508i −0.581329 1.28232i
\(103\) 2.64048 + 3.95175i 0.260174 + 0.389378i 0.938442 0.345437i \(-0.112269\pi\)
−0.678268 + 0.734815i \(0.737269\pi\)
\(104\) −8.28666 5.84405i −0.812574 0.573056i
\(105\) −2.53968 2.66528i −0.247848 0.260104i
\(106\) −7.08886 6.32281i −0.688531 0.614126i
\(107\) −9.02720 10.9997i −0.872692 1.06338i −0.997463 0.0711928i \(-0.977319\pi\)
0.124770 0.992186i \(-0.460181\pi\)
\(108\) −7.75127 + 6.92227i −0.745866 + 0.666096i
\(109\) 2.77153 + 5.18517i 0.265465 + 0.496649i 0.978971 0.203999i \(-0.0653940\pi\)
−0.713506 + 0.700649i \(0.752894\pi\)
\(110\) 1.98001 + 0.917242i 0.188787 + 0.0874556i
\(111\) 11.1186 1.93406i 1.05533 0.183573i
\(112\) 1.18891 + 2.62994i 0.112342 + 0.248506i
\(113\) −8.90796 3.68980i −0.837990 0.347107i −0.0779293 0.996959i \(-0.524831\pi\)
−0.760061 + 0.649852i \(0.774831\pi\)
\(114\) 7.42641 + 12.8568i 0.695547 + 1.20415i
\(115\) 0.120265 0.396461i 0.0112148 0.0369702i
\(116\) 13.6887 5.92735i 1.27096 0.550340i
\(117\) −5.52154 + 9.22968i −0.510467 + 0.853284i
\(118\) −5.68436 + 16.2949i −0.523288 + 1.50007i
\(119\) 0.817160 + 4.10814i 0.0749089 + 0.376593i
\(120\) 11.5933 8.59425i 1.05832 0.784544i
\(121\) 10.5195 + 2.09247i 0.956322 + 0.190224i
\(122\) −4.12342 15.9222i −0.373317 1.44153i
\(123\) 0.172282 + 2.32230i 0.0155342 + 0.209395i
\(124\) −3.33348 1.71405i −0.299355 0.153926i
\(125\) −2.47101 + 3.01094i −0.221014 + 0.269307i
\(126\) 2.68698 1.46679i 0.239375 0.130672i
\(127\) 17.9051i 1.58882i 0.607384 + 0.794409i \(0.292219\pi\)
−0.607384 + 0.794409i \(0.707781\pi\)
\(128\) −10.8043 + 3.35656i −0.954977 + 0.296681i
\(129\) 8.09662 + 1.81459i 0.712868 + 0.159766i
\(130\) 8.80112 12.0667i 0.771909 1.05832i
\(131\) 0.711423 + 0.583850i 0.0621574 + 0.0510112i 0.664959 0.746880i \(-0.268449\pi\)
−0.602802 + 0.797891i \(0.705949\pi\)
\(132\) −1.16255 + 1.39316i −0.101187 + 0.121259i
\(133\) −1.26960 4.18531i −0.110088 0.362912i
\(134\) 14.9912 3.88230i 1.29504 0.335380i
\(135\) −10.0126 11.5779i −0.861746 0.996466i
\(136\) −16.3755 + 1.19741i −1.40418 + 0.102677i
\(137\) 21.3920 4.25513i 1.82764 0.363540i 0.842969 0.537962i \(-0.180806\pi\)
0.984671 + 0.174422i \(0.0558056\pi\)
\(138\) 0.292587 + 0.181858i 0.0249066 + 0.0154808i
\(139\) −10.0764 0.992435i −0.854666 0.0841773i −0.338812 0.940854i \(-0.610025\pi\)
−0.515854 + 0.856677i \(0.672525\pi\)
\(140\) −3.90105 + 1.68920i −0.329699 + 0.142763i
\(141\) −2.04444 + 3.61247i −0.172173 + 0.304224i
\(142\) −2.35899 2.56143i −0.197962 0.214951i
\(143\) −0.718626 + 1.73492i −0.0600946 + 0.145081i
\(144\) 4.41005 + 11.1603i 0.367504 + 0.930022i
\(145\) 8.40798 + 20.2987i 0.698245 + 1.68571i
\(146\) −7.01349 + 15.1397i −0.580441 + 1.25297i
\(147\) 10.8148 2.99775i 0.891991 0.247250i
\(148\) 2.33831 12.8199i 0.192208 1.05379i
\(149\) −13.1621 + 10.8018i −1.07828 + 0.884921i −0.993764 0.111501i \(-0.964434\pi\)
−0.0845148 + 0.996422i \(0.526934\pi\)
\(150\) 5.24883 + 7.32154i 0.428565 + 0.597801i
\(151\) 16.7116 + 11.1663i 1.35997 + 0.908702i 0.999708 0.0241497i \(-0.00768785\pi\)
0.360260 + 0.932852i \(0.382688\pi\)
\(152\) 16.8939 2.92026i 1.37028 0.236864i
\(153\) 2.56978 + 17.2245i 0.207755 + 1.39252i
\(154\) 0.426762 0.321811i 0.0343894 0.0259322i
\(155\) 2.60255 4.86903i 0.209042 0.391090i
\(156\) 7.79969 + 9.66423i 0.624475 + 0.773758i
\(157\) −11.6799 + 1.15037i −0.932157 + 0.0918094i −0.552681 0.833393i \(-0.686395\pi\)
−0.379475 + 0.925202i \(0.623895\pi\)
\(158\) 1.20901 + 1.98114i 0.0961838 + 0.157611i
\(159\) 6.22816 + 9.82623i 0.493925 + 0.779270i
\(160\) −4.68966 15.9905i −0.370750 1.26416i
\(161\) −0.0717566 0.0717566i −0.00565521 0.00565521i
\(162\) 11.4529 5.55261i 0.899823 0.436255i
\(163\) −14.3876 + 1.41705i −1.12692 + 0.110992i −0.644254 0.764812i \(-0.722832\pi\)
−0.482667 + 0.875804i \(0.660332\pi\)
\(164\) 2.58526 + 0.739451i 0.201875 + 0.0577414i
\(165\) −2.02443 1.74481i −0.157602 0.135833i
\(166\) 0.0530364 0.378286i 0.00411642 0.0293607i
\(167\) 8.63319 + 12.9205i 0.668056 + 0.999816i 0.998433 + 0.0559673i \(0.0178242\pi\)
−0.330377 + 0.943849i \(0.607176\pi\)
\(168\) −0.517902 3.49670i −0.0399570 0.269776i
\(169\) −0.122469 0.0818309i −0.00942066 0.00629468i
\(170\) −1.37908 24.1445i −0.105770 1.85180i
\(171\) −4.43325 17.6357i −0.339019 1.34864i
\(172\) 5.19534 8.05020i 0.396141 0.613822i
\(173\) −1.33268 2.49327i −0.101322 0.189560i 0.826153 0.563446i \(-0.190525\pi\)
−0.927474 + 0.373887i \(0.878025\pi\)
\(174\) −18.1126 + 2.38837i −1.37311 + 0.181062i
\(175\) −1.01552 2.45167i −0.0767658 0.185329i
\(176\) 1.04606 + 1.81539i 0.0788494 + 0.136840i
\(177\) 12.1634 17.2860i 0.914254 1.29930i
\(178\) 0.719973 17.4996i 0.0539643 1.31165i
\(179\) 2.34359 7.72580i 0.175169 0.577453i −0.824760 0.565483i \(-0.808690\pi\)
0.999928 0.0119700i \(-0.00381027\pi\)
\(180\) −16.5394 + 6.23278i −1.23277 + 0.464564i
\(181\) −6.33147 0.623596i −0.470615 0.0463515i −0.140070 0.990142i \(-0.544733\pi\)
−0.330545 + 0.943790i \(0.607233\pi\)
\(182\) −1.59042 3.29448i −0.117890 0.244203i
\(183\) −0.485914 + 20.1381i −0.0359198 + 1.48865i
\(184\) 0.313755 0.244534i 0.0231303 0.0180273i
\(185\) 18.8252 + 3.74457i 1.38406 + 0.275306i
\(186\) 3.35128 + 3.13752i 0.245728 + 0.230054i
\(187\) 0.882667 + 2.90976i 0.0645470 + 0.212783i
\(188\) 3.09930 + 3.65611i 0.226040 + 0.266649i
\(189\) −3.65713 + 0.826070i −0.266017 + 0.0600878i
\(190\) 3.90417 + 24.9484i 0.283238 + 1.80995i
\(191\) 21.3495i 1.54480i −0.635138 0.772399i \(-0.719057\pi\)
0.635138 0.772399i \(-0.280943\pi\)
\(192\) 13.8525 0.328167i 0.999720 0.0236834i
\(193\) 2.73664i 0.196988i −0.995138 0.0984940i \(-0.968597\pi\)
0.995138 0.0984940i \(-0.0314025\pi\)
\(194\) 23.9066 3.74113i 1.71639 0.268598i
\(195\) −14.4157 + 11.2599i −1.03233 + 0.806336i
\(196\) 1.06450 12.9149i 0.0760358 0.922496i
\(197\) 1.38218 + 4.55643i 0.0984762 + 0.324632i 0.992312 0.123762i \(-0.0394960\pi\)
−0.893836 + 0.448395i \(0.851996\pi\)
\(198\) 1.83683 1.25087i 0.130538 0.0888953i
\(199\) 13.5554 + 2.69633i 0.960916 + 0.191138i 0.650537 0.759475i \(-0.274544\pi\)
0.310379 + 0.950613i \(0.399544\pi\)
\(200\) 10.0272 2.76801i 0.709031 0.195728i
\(201\) −18.9605 0.457500i −1.33737 0.0322696i
\(202\) 10.2522 4.94929i 0.721344 0.348231i
\(203\) 5.35571 + 0.527491i 0.375897 + 0.0370226i
\(204\) 19.6901 + 4.08449i 1.37859 + 0.285971i
\(205\) −1.14968 + 3.78999i −0.0802972 + 0.264705i
\(206\) −6.71570 0.276299i −0.467905 0.0192507i
\(207\) −0.283608 0.312387i −0.0197121 0.0217124i
\(208\) 13.5832 4.59796i 0.941822 0.318811i
\(209\) −1.21502 2.93332i −0.0840448 0.202902i
\(210\) 5.16179 0.680647i 0.356198 0.0469691i
\(211\) 10.7779 + 20.1641i 0.741984 + 1.38816i 0.915089 + 0.403252i \(0.132120\pi\)
−0.173105 + 0.984903i \(0.555380\pi\)
\(212\) 13.1320 2.83038i 0.901907 0.194391i
\(213\) 1.91911 + 3.80864i 0.131495 + 0.260963i
\(214\) 20.0910 1.14755i 1.37339 0.0784451i
\(215\) 11.7337 + 7.84021i 0.800232 + 0.534698i
\(216\) −1.44961 14.6253i −0.0986334 0.995124i
\(217\) −0.751299 1.12440i −0.0510015 0.0763291i
\(218\) −8.23420 1.15445i −0.557690 0.0781892i
\(219\) 13.3413 15.4794i 0.901521 1.04600i
\(220\) −2.69810 + 1.49793i −0.181906 + 0.100990i
\(221\) 20.7113 2.03989i 1.39319 0.137218i
\(222\) −7.05606 + 14.3157i −0.473572 + 0.960809i
\(223\) −6.52320 6.52320i −0.436826 0.436826i 0.454116 0.890942i \(-0.349955\pi\)
−0.890942 + 0.454116i \(0.849955\pi\)
\(224\) −3.99572 0.833276i −0.266976 0.0556756i
\(225\) −3.72570 10.3852i −0.248380 0.692345i
\(226\) 11.6395 7.10313i 0.774249 0.472493i
\(227\) −7.78629 + 0.766883i −0.516794 + 0.0508998i −0.353053 0.935603i \(-0.614856\pi\)
−0.163742 + 0.986503i \(0.552356\pi\)
\(228\) −20.8789 2.22914i −1.38274 0.147629i
\(229\) 11.8836 22.2326i 0.785289 1.46917i −0.0953803 0.995441i \(-0.530407\pi\)
0.880669 0.473732i \(-0.157093\pi\)
\(230\) 0.352765 + 0.467811i 0.0232606 + 0.0308465i
\(231\) −0.610660 + 0.235852i −0.0401785 + 0.0155179i
\(232\) −4.63523 + 20.5801i −0.304318 + 1.35115i
\(233\) 5.33556 + 3.56511i 0.349544 + 0.233558i 0.717930 0.696115i \(-0.245090\pi\)
−0.368386 + 0.929673i \(0.620090\pi\)
\(234\) −5.94420 14.0005i −0.388585 0.915244i
\(235\) −5.45715 + 4.47857i −0.355985 + 0.292150i
\(236\) −13.8811 20.0745i −0.903585 1.30674i
\(237\) −0.759286 2.73924i −0.0493209 0.177933i
\(238\) −5.37489 2.48992i −0.348402 0.161397i
\(239\) −7.63298 18.4276i −0.493736 1.19198i −0.952805 0.303584i \(-0.901817\pi\)
0.459069 0.888401i \(-0.348183\pi\)
\(240\) 0.158148 + 20.4085i 0.0102084 + 1.31736i
\(241\) 2.11078 5.09587i 0.135967 0.328254i −0.841201 0.540723i \(-0.818151\pi\)
0.977168 + 0.212469i \(0.0681506\pi\)
\(242\) −11.1575 + 10.2757i −0.717229 + 0.660545i
\(243\) −15.3533 + 2.69723i −0.984917 + 0.173027i
\(244\) 21.6288 + 8.55773i 1.38464 + 0.547852i
\(245\) 18.9950 + 1.87085i 1.21355 + 0.119524i
\(246\) −2.79700 1.73849i −0.178330 0.110842i
\(247\) −21.3132 + 4.23947i −1.35613 + 0.269751i
\(248\) 4.73646 2.38035i 0.300766 0.151152i
\(249\) −0.189407 + 0.427779i −0.0120032 + 0.0271094i
\(250\) −1.38099 5.33256i −0.0873413 0.337261i
\(251\) 4.12980 + 13.6141i 0.260670 + 0.859315i 0.985396 + 0.170278i \(0.0544665\pi\)
−0.724726 + 0.689037i \(0.758034\pi\)
\(252\) −0.563313 + 4.29248i −0.0354854 + 0.270401i
\(253\) −0.0569460 0.0467344i −0.00358017 0.00293817i
\(254\) −20.4580 14.9215i −1.28365 0.936259i
\(255\) −6.47745 + 28.9021i −0.405634 + 1.80992i
\(256\) 5.16883 15.1421i 0.323052 0.946381i
\(257\) 4.42648i 0.276116i 0.990424 + 0.138058i \(0.0440861\pi\)
−0.990424 + 0.138058i \(0.955914\pi\)
\(258\) −8.82079 + 7.73884i −0.549158 + 0.481799i
\(259\) 2.98254 3.63423i 0.185326 0.225820i
\(260\) 6.45266 + 20.1120i 0.400177 + 1.24729i
\(261\) 22.1359 + 3.26458i 1.37018 + 0.202073i
\(262\) −1.25998 + 0.326299i −0.0778415 + 0.0201588i
\(263\) −11.9965 2.38625i −0.739735 0.147142i −0.189181 0.981942i \(-0.560583\pi\)
−0.550554 + 0.834800i \(0.685583\pi\)
\(264\) −0.622963 2.48932i −0.0383407 0.153207i
\(265\) 3.86011 + 19.4061i 0.237125 + 1.19211i
\(266\) 5.84011 + 2.03728i 0.358080 + 0.124914i
\(267\) −6.72015 + 20.3709i −0.411266 + 1.24668i
\(268\) −8.05731 + 20.3641i −0.492179 + 1.24393i
\(269\) 7.13334 23.5155i 0.434927 1.43376i −0.416426 0.909170i \(-0.636717\pi\)
0.851353 0.524593i \(-0.175783\pi\)
\(270\) 21.5729 1.79157i 1.31288 0.109032i
\(271\) −19.2405 7.96967i −1.16878 0.484123i −0.287988 0.957634i \(-0.592986\pi\)
−0.880788 + 0.473511i \(0.842986\pi\)
\(272\) 12.2787 19.7082i 0.744503 1.19499i
\(273\) 0.767839 + 4.41417i 0.0464717 + 0.267158i
\(274\) −12.9656 + 27.9882i −0.783278 + 1.69083i
\(275\) −0.908103 1.69894i −0.0547607 0.102450i
\(276\) −0.451621 + 0.182750i −0.0271844 + 0.0110002i
\(277\) −8.97244 10.9329i −0.539101 0.656897i 0.430211 0.902728i \(-0.358439\pi\)
−0.969313 + 0.245831i \(0.920939\pi\)
\(278\) 9.53126 10.6860i 0.571647 0.640905i
\(279\) −2.89459 4.82017i −0.173295 0.288576i
\(280\) 1.32097 5.86500i 0.0789428 0.350501i
\(281\) −3.67860 5.50542i −0.219447 0.328426i 0.705369 0.708840i \(-0.250781\pi\)
−0.924816 + 0.380415i \(0.875781\pi\)
\(282\) −2.42378 5.34645i −0.144334 0.318377i
\(283\) −22.7986 12.1861i −1.35524 0.724389i −0.375907 0.926657i \(-0.622669\pi\)
−0.979330 + 0.202268i \(0.935169\pi\)
\(284\) 4.89256 0.560733i 0.290320 0.0332734i
\(285\) 3.77296 30.6963i 0.223491 1.81829i
\(286\) −1.38341 2.26692i −0.0818027 0.134046i
\(287\) 0.685961 + 0.685961i 0.0404910 + 0.0404910i
\(288\) −16.4267 4.26176i −0.967954 0.251127i
\(289\) 11.8078 11.8078i 0.694575 0.694575i
\(290\) −30.1999 7.30944i −1.77340 0.429225i
\(291\) −29.4145 3.61541i −1.72431 0.211939i
\(292\) −11.4536 20.6305i −0.670271 1.20731i
\(293\) −14.5536 + 27.2278i −0.850229 + 1.59067i −0.0440245 + 0.999030i \(0.514018\pi\)
−0.806205 + 0.591637i \(0.798482\pi\)
\(294\) −5.58755 + 14.8551i −0.325872 + 0.866365i
\(295\) 29.8898 19.9718i 1.74025 1.16280i
\(296\) 12.6992 + 13.3555i 0.738126 + 0.776270i
\(297\) −2.58330 + 0.857013i −0.149898 + 0.0497290i
\(298\) −1.37315 24.0407i −0.0795443 1.39264i
\(299\) −0.389758 + 0.319866i −0.0225403 + 0.0184983i
\(300\) −12.7397 0.104311i −0.735526 0.00602241i
\(301\) 3.04845 1.62943i 0.175710 0.0939189i
\(302\) −26.6853 + 9.78872i −1.53557 + 0.563278i
\(303\) −13.7367 + 2.38947i −0.789151 + 0.137272i
\(304\) −10.7422 + 21.7363i −0.616107 + 1.24666i
\(305\) −13.1108 + 31.6522i −0.750720 + 1.81240i
\(306\) −21.8221 11.4182i −1.24748 0.652734i
\(307\) 4.90418 + 1.48767i 0.279896 + 0.0849056i 0.427112 0.904199i \(-0.359531\pi\)
−0.147216 + 0.989104i \(0.547031\pi\)
\(308\) 0.0120459 + 0.755798i 0.000686380 + 0.0430656i
\(309\) 7.81757 + 2.57894i 0.444726 + 0.146711i
\(310\) 3.39439 + 7.03133i 0.192789 + 0.399353i
\(311\) −9.59006 + 1.90758i −0.543803 + 0.108169i −0.459345 0.888258i \(-0.651916\pi\)
−0.0844578 + 0.996427i \(0.526916\pi\)
\(312\) −17.5422 + 0.857936i −0.993132 + 0.0485710i
\(313\) 1.24937 6.28103i 0.0706188 0.355025i −0.929278 0.369381i \(-0.879570\pi\)
0.999897 + 0.0143560i \(0.00456983\pi\)
\(314\) 8.41925 14.3039i 0.475126 0.807217i
\(315\) −6.30837 0.930352i −0.355436 0.0524194i
\(316\) −3.27117 0.269623i −0.184018 0.0151675i
\(317\) 0.773290 + 0.634622i 0.0434323 + 0.0356439i 0.655859 0.754883i \(-0.272307\pi\)
−0.612427 + 0.790527i \(0.709807\pi\)
\(318\) −16.4176 1.07267i −0.920656 0.0601521i
\(319\) 3.90674 0.218736
\(320\) 22.1787 + 7.96762i 1.23982 + 0.445404i
\(321\) −24.0499 5.38999i −1.34233 0.300840i
\(322\) 0.141787 0.0221882i 0.00790151 0.00123650i
\(323\) −22.3225 + 27.2001i −1.24206 + 1.51345i
\(324\) −3.20014 + 17.7132i −0.177785 + 0.984069i
\(325\) −12.6172 + 3.82740i −0.699879 + 0.212306i
\(326\) 10.3710 17.6199i 0.574398 0.975877i
\(327\) 9.31152 + 4.12284i 0.514928 + 0.227994i
\(328\) −2.99936 + 2.33764i −0.165612 + 0.129075i
\(329\) 0.337348 + 1.69596i 0.0185986 + 0.0935013i
\(330\) 3.68068 0.859016i 0.202615 0.0472873i
\(331\) −2.04107 + 20.7234i −0.112187 + 1.13906i 0.760012 + 0.649909i \(0.225193\pi\)
−0.872200 + 0.489150i \(0.837307\pi\)
\(332\) 0.388025 + 0.375850i 0.0212956 + 0.0206274i
\(333\) 13.1149 14.4945i 0.718694 0.794294i
\(334\) −21.9573 0.903375i −1.20145 0.0494305i
\(335\) −29.8013 12.3441i −1.62822 0.674431i
\(336\) 4.42687 + 2.32229i 0.241506 + 0.126691i
\(337\) 12.2094 5.05731i 0.665089 0.275489i −0.0244890 0.999700i \(-0.507796\pi\)
0.689578 + 0.724211i \(0.257796\pi\)
\(338\) 0.195560 0.0717353i 0.0106371 0.00390189i
\(339\) −16.0934 + 4.46092i −0.874076 + 0.242284i
\(340\) 28.7364 + 18.5455i 1.55845 + 1.00577i
\(341\) −0.622779 0.758859i −0.0337254 0.0410945i
\(342\) 23.8448 + 9.63171i 1.28938 + 0.520823i
\(343\) 5.40347 8.08687i 0.291760 0.436650i
\(344\) 4.86840 + 12.6449i 0.262486 + 0.681767i
\(345\) −0.258538 0.669398i −0.0139192 0.0360392i
\(346\) 3.95938 + 0.555112i 0.212858 + 0.0298430i
\(347\) −10.6376 5.68590i −0.571055 0.305235i 0.160480 0.987039i \(-0.448696\pi\)
−0.731535 + 0.681804i \(0.761196\pi\)
\(348\) 12.3656 22.6856i 0.662863 1.21607i
\(349\) −1.52696 15.5035i −0.0817365 0.829885i −0.945421 0.325852i \(-0.894349\pi\)
0.863684 0.504033i \(-0.168151\pi\)
\(350\) 3.64754 + 0.882833i 0.194969 + 0.0471894i
\(351\) 2.30359 + 18.4856i 0.122957 + 0.986687i
\(352\) −2.94599 0.317682i −0.157022 0.0169325i
\(353\) 12.7698 12.7698i 0.679667 0.679667i −0.280258 0.959925i \(-0.590420\pi\)
0.959925 + 0.280258i \(0.0904200\pi\)
\(354\) 9.61419 + 28.3033i 0.510988 + 1.50430i
\(355\) 0.710961 + 7.21850i 0.0377339 + 0.383118i
\(356\) 19.3948 + 15.4062i 1.02792 + 0.816529i
\(357\) 5.49547 + 4.73641i 0.290851 + 0.250677i
\(358\) 6.87429 + 9.11619i 0.363318 + 0.481805i
\(359\) 23.2182 15.5139i 1.22541 0.818792i 0.237134 0.971477i \(-0.423792\pi\)
0.988275 + 0.152685i \(0.0487919\pi\)
\(360\) 6.66193 24.0918i 0.351114 1.26975i
\(361\) 9.85663 14.7515i 0.518770 0.776394i
\(362\) 5.98896 6.71456i 0.314773 0.352909i
\(363\) 16.5902 8.35954i 0.870761 0.438762i
\(364\) 5.08962 + 0.928327i 0.266769 + 0.0486575i
\(365\) 30.6516 16.3836i 1.60438 0.857559i
\(366\) −22.6045 17.3377i −1.18156 0.906254i
\(367\) 8.29858 3.43738i 0.433182 0.179430i −0.155427 0.987847i \(-0.549675\pi\)
0.588610 + 0.808417i \(0.299675\pi\)
\(368\) 0.0179277 + 0.562278i 0.000934549 + 0.0293108i
\(369\) 2.71117 + 2.98628i 0.141138 + 0.155459i
\(370\) −19.9668 + 18.3888i −1.03803 + 0.955988i
\(371\) 4.63777 + 1.40685i 0.240781 + 0.0730402i
\(372\) −6.37773 + 1.21441i −0.330670 + 0.0629643i
\(373\) 0.226683 2.30155i 0.0117372 0.119170i −0.987531 0.157426i \(-0.949680\pi\)
0.999268 + 0.0382564i \(0.0121804\pi\)
\(374\) −4.06024 1.41638i −0.209950 0.0732394i
\(375\) −0.162739 + 6.74452i −0.00840380 + 0.348285i
\(376\) −6.76027 + 0.494327i −0.348634 + 0.0254930i
\(377\) 5.21653 26.2253i 0.268665 1.35067i
\(378\) 2.10388 4.86700i 0.108212 0.250331i
\(379\) 36.2657 11.0011i 1.86285 0.565088i 0.864835 0.502057i \(-0.167423\pi\)
0.998012 0.0630313i \(-0.0200768\pi\)
\(380\) −31.7593 16.3304i −1.62922 0.837731i
\(381\) 19.0901 + 24.4406i 0.978016 + 1.25213i
\(382\) 24.3936 + 17.7920i 1.24809 + 0.910319i
\(383\) −34.7953 −1.77796 −0.888979 0.457948i \(-0.848585\pi\)
−0.888979 + 0.457948i \(0.848585\pi\)
\(384\) −11.1693 + 16.1011i −0.569980 + 0.821658i
\(385\) −1.11336 −0.0567419
\(386\) 3.12684 + 2.28063i 0.159152 + 0.116081i
\(387\) 12.9867 6.15556i 0.660149 0.312905i
\(388\) −15.6484 + 30.4330i −0.794429 + 1.54500i
\(389\) −11.6144 + 3.52317i −0.588871 + 0.178632i −0.570638 0.821202i \(-0.693304\pi\)
−0.0182329 + 0.999834i \(0.505804\pi\)
\(390\) −0.851741 25.8548i −0.0431296 1.30921i
\(391\) −0.159278 + 0.800742i −0.00805501 + 0.0404953i
\(392\) 13.8693 + 11.9792i 0.700505 + 0.605040i
\(393\) 1.59359 + 0.0384519i 0.0803861 + 0.00193964i
\(394\) −6.35797 2.21793i −0.320310 0.111738i
\(395\) 0.473859 4.81117i 0.0238424 0.242076i
\(396\) −0.101533 + 3.14116i −0.00510222 + 0.157849i
\(397\) −0.344167 0.104402i −0.0172732 0.00523978i 0.281636 0.959521i \(-0.409123\pi\)
−0.298909 + 0.954281i \(0.596623\pi\)
\(398\) −14.3774 + 13.2411i −0.720675 + 0.663718i
\(399\) −6.19533 4.35936i −0.310154 0.218241i
\(400\) −5.19368 + 13.7637i −0.259684 + 0.688185i
\(401\) 24.1492 10.0029i 1.20595 0.499522i 0.313035 0.949741i \(-0.398654\pi\)
0.892918 + 0.450219i \(0.148654\pi\)
\(402\) 16.3238 21.2827i 0.814159 1.06149i
\(403\) −5.92566 + 3.16733i −0.295178 + 0.157776i
\(404\) −2.88890 + 15.8386i −0.143728 + 0.788001i
\(405\) −26.0114 5.12866i −1.29252 0.254845i
\(406\) −5.06598 + 5.67975i −0.251420 + 0.281881i
\(407\) 1.89613 2.83776i 0.0939877 0.140662i
\(408\) −21.0760 + 19.0938i −1.04342 + 0.945282i
\(409\) 1.87506 1.25288i 0.0927159 0.0619508i −0.508348 0.861152i \(-0.669744\pi\)
0.601064 + 0.799201i \(0.294744\pi\)
\(410\) −3.37228 4.47207i −0.166545 0.220860i
\(411\) 24.6635 28.6161i 1.21656 1.41153i
\(412\) 5.91234 7.44299i 0.291280 0.366690i
\(413\) −0.863059 8.76278i −0.0424683 0.431188i
\(414\) 0.593278 0.0637132i 0.0291580 0.00313133i
\(415\) −0.562627 + 0.562627i −0.0276183 + 0.0276183i
\(416\) −6.06621 + 19.3517i −0.297420 + 0.948794i
\(417\) −14.8125 + 9.38859i −0.725369 + 0.459761i
\(418\) 4.36413 + 1.05627i 0.213456 + 0.0516640i
\(419\) −2.09096 21.2299i −0.102150 1.03715i −0.900471 0.434916i \(-0.856778\pi\)
0.798321 0.602233i \(-0.205722\pi\)
\(420\) −3.52398 + 6.46501i −0.171952 + 0.315460i
\(421\) 22.5461 + 12.0512i 1.09883 + 0.587337i 0.918161 0.396206i \(-0.129674\pi\)
0.180670 + 0.983544i \(0.442174\pi\)
\(422\) −32.0212 4.48943i −1.55877 0.218542i
\(423\) 1.06088 + 7.11079i 0.0515819 + 0.345739i
\(424\) −7.70982 + 17.3631i −0.374422 + 0.843228i
\(425\) −11.8612 + 17.7515i −0.575352 + 0.861075i
\(426\) −5.95101 0.981254i −0.288327 0.0475419i
\(427\) 5.32363 + 6.48686i 0.257628 + 0.313921i
\(428\) −15.4320 + 23.9120i −0.745936 + 1.15583i
\(429\) 0.868811 + 3.13437i 0.0419466 + 0.151329i
\(430\) −18.7366 + 6.87296i −0.903558 + 0.331443i
\(431\) 25.3136 10.4852i 1.21931 0.505056i 0.322122 0.946698i \(-0.395604\pi\)
0.897191 + 0.441642i \(0.145604\pi\)
\(432\) 17.9187 + 10.5319i 0.862112 + 0.506718i
\(433\) −0.358052 0.148310i −0.0172069 0.00712733i 0.374063 0.927403i \(-0.377964\pi\)
−0.391270 + 0.920276i \(0.627964\pi\)
\(434\) 1.91083 + 0.0786158i 0.0917227 + 0.00377368i
\(435\) 33.1191 + 18.7434i 1.58794 + 0.898677i
\(436\) 8.18117 8.44618i 0.391807 0.404499i
\(437\) 0.0835588 0.848387i 0.00399716 0.0405838i
\(438\) 6.56828 + 28.1436i 0.313845 + 1.34475i
\(439\) −6.03638 30.3469i −0.288101 1.44838i −0.805480 0.592623i \(-0.798092\pi\)
0.517379 0.855756i \(-0.326908\pi\)
\(440\) 0.537004 4.33114i 0.0256006 0.206479i
\(441\) 11.5662 15.6225i 0.550770 0.743931i
\(442\) −14.9294 + 25.3644i −0.710120 + 1.20646i
\(443\) −23.3155 + 7.07269i −1.10775 + 0.336034i −0.790595 0.612339i \(-0.790229\pi\)
−0.317159 + 0.948372i \(0.602729\pi\)
\(444\) −10.4766 19.9924i −0.497199 0.948798i
\(445\) −23.1442 + 28.2013i −1.09714 + 1.33687i
\(446\) 12.8895 2.01708i 0.610337 0.0955113i
\(447\) −6.44960 + 28.7778i −0.305056 + 1.36114i
\(448\) 4.28200 3.87102i 0.202305 0.182889i
\(449\) −23.7154 −1.11920 −0.559598 0.828764i \(-0.689045\pi\)
−0.559598 + 0.828764i \(0.689045\pi\)
\(450\) 14.9708 + 4.39775i 0.705731 + 0.207312i
\(451\) 0.544379 + 0.446760i 0.0256338 + 0.0210371i
\(452\) −1.58408 + 19.2186i −0.0745087 + 0.903968i
\(453\) 34.7168 2.57550i 1.63114 0.121008i
\(454\) 5.61262 9.53559i 0.263413 0.447527i
\(455\) −1.48662 + 7.47376i −0.0696940 + 0.350375i
\(456\) 19.9468 21.9982i 0.934094 1.03016i
\(457\) −4.64179 + 0.923310i −0.217134 + 0.0431906i −0.302458 0.953163i \(-0.597807\pi\)
0.0853245 + 0.996353i \(0.472807\pi\)
\(458\) 15.4992 + 32.1059i 0.724231 + 1.50021i
\(459\) 21.8723 + 20.7718i 1.02091 + 0.969544i
\(460\) −0.828496 + 0.0132046i −0.0386288 + 0.000615667i
\(461\) −27.3813 8.30604i −1.27528 0.386851i −0.421185 0.906975i \(-0.638386\pi\)
−0.854091 + 0.520124i \(0.825886\pi\)
\(462\) 0.239424 0.894281i 0.0111390 0.0416057i
\(463\) 6.30846 15.2300i 0.293179 0.707797i −0.706821 0.707393i \(-0.749871\pi\)
1.00000 0.000404394i \(-0.000128723\pi\)
\(464\) −19.6517 22.4470i −0.912306 1.04207i
\(465\) −1.63878 9.42108i −0.0759967 0.436892i
\(466\) −8.51992 + 3.12528i −0.394678 + 0.144776i
\(467\) 9.33155 4.98782i 0.431813 0.230809i −0.241146 0.970489i \(-0.577523\pi\)
0.672959 + 0.739680i \(0.265023\pi\)
\(468\) 20.9505 + 4.87585i 0.968437 + 0.225386i
\(469\) −6.10754 + 5.01233i −0.282020 + 0.231448i
\(470\) −0.569324 9.96755i −0.0262609 0.459769i
\(471\) −14.7166 + 14.0232i −0.678107 + 0.646154i
\(472\) 34.5049 + 0.869100i 1.58822 + 0.0400036i
\(473\) 2.08640 1.39409i 0.0959328 0.0641002i
\(474\) 3.76257 + 1.41525i 0.172821 + 0.0650044i
\(475\) 10.5087 19.6603i 0.482170 0.902077i
\(476\) 7.32420 4.06624i 0.335704 0.186376i
\(477\) 18.9781 + 6.77252i 0.868946 + 0.310092i
\(478\) 27.4162 + 6.63569i 1.25399 + 0.303509i
\(479\) 5.38692 5.38692i 0.246134 0.246134i −0.573248 0.819382i \(-0.694317\pi\)
0.819382 + 0.573248i \(0.194317\pi\)
\(480\) −23.4502 16.8271i −1.07035 0.768049i
\(481\) −16.5175 16.5175i −0.753135 0.753135i
\(482\) 4.06340 + 6.65848i 0.185083 + 0.303285i
\(483\) −0.174454 0.0214426i −0.00793794 0.000975672i
\(484\) −2.44253 21.3118i −0.111024 0.968716i
\(485\) −44.4519 23.7600i −2.01845 1.07889i
\(486\) 9.71317 19.7903i 0.440598 0.897704i
\(487\) −17.0316 25.4896i −0.771777 1.15505i −0.984060 0.177838i \(-0.943090\pi\)
0.212283 0.977208i \(-0.431910\pi\)
\(488\) −27.8027 + 17.5810i −1.25857 + 0.795853i
\(489\) −18.1283 + 17.2741i −0.819791 + 0.781161i
\(490\) −17.9675 + 20.1443i −0.811687 + 0.910027i
\(491\) 17.8601 + 21.7626i 0.806015 + 0.982133i 0.999999 + 0.00112791i \(0.000359024\pi\)
−0.193984 + 0.981005i \(0.562141\pi\)
\(492\) 4.31729 1.74701i 0.194639 0.0787612i
\(493\) −20.4099 38.1843i −0.919218 1.71974i
\(494\) 12.9178 27.8852i 0.581201 1.25461i
\(495\) −4.62365 0.223259i −0.207818 0.0100347i
\(496\) −1.22747 + 7.39551i −0.0551152 + 0.332068i
\(497\) 1.64142 + 0.679899i 0.0736278 + 0.0304976i
\(498\) −0.330928 0.572910i −0.0148292 0.0256727i
\(499\) −0.359571 + 1.18535i −0.0160966 + 0.0530634i −0.964621 0.263641i \(-0.915076\pi\)
0.948524 + 0.316705i \(0.102576\pi\)
\(500\) 7.24377 + 2.86610i 0.323951 + 0.128176i
\(501\) 25.5600 + 8.43200i 1.14194 + 0.376714i
\(502\) −18.9969 6.62693i −0.847873 0.295774i
\(503\) 3.15813 + 15.8770i 0.140814 + 0.707920i 0.985094 + 0.172018i \(0.0550286\pi\)
−0.844280 + 0.535903i \(0.819971\pi\)
\(504\) −4.43507 4.22084i −0.197554 0.188011i
\(505\) −23.2579 4.62629i −1.03496 0.205867i
\(506\) 0.100855 0.0261187i 0.00448355 0.00116112i
\(507\) −0.254418 + 0.0188742i −0.0112991 + 0.000838234i
\(508\) 34.0981 10.9399i 1.51286 0.485380i
\(509\) −3.24784 + 3.95750i −0.143958 + 0.175413i −0.839998 0.542590i \(-0.817444\pi\)
0.696040 + 0.718003i \(0.254944\pi\)
\(510\) −27.6249 31.4871i −1.22325 1.39427i
\(511\) 8.51304i 0.376595i
\(512\) 12.9936 + 18.5248i 0.574241 + 0.818687i
\(513\) −24.8544 19.3463i −1.09735 0.854160i
\(514\) −5.05762 3.68889i −0.223082 0.162710i
\(515\) 10.8226 + 8.88189i 0.476902 + 0.391383i
\(516\) −1.49132 16.5278i −0.0656515 0.727596i
\(517\) 0.364391 + 1.20124i 0.0160259 + 0.0528303i
\(518\) 1.66686 + 6.43645i 0.0732378 + 0.282802i
\(519\) −4.47741 1.98245i −0.196536 0.0870200i
\(520\) −28.3571 9.38802i −1.24354 0.411692i
\(521\) 21.7600 4.32834i 0.953324 0.189628i 0.306161 0.951980i \(-0.400955\pi\)
0.647163 + 0.762352i \(0.275955\pi\)
\(522\) −22.1774 + 22.5715i −0.970679 + 0.987929i
\(523\) 17.3567 + 1.70949i 0.758956 + 0.0747506i 0.470089 0.882619i \(-0.344222\pi\)
0.288866 + 0.957369i \(0.406722\pi\)
\(524\) 0.677200 1.71155i 0.0295836 0.0747696i
\(525\) −4.00012 2.26383i −0.174580 0.0988015i
\(526\) 12.7240 11.7184i 0.554792 0.510945i
\(527\) −4.16347 + 10.0515i −0.181364 + 0.437851i
\(528\) 3.36342 + 1.36274i 0.146374 + 0.0593055i
\(529\) 8.79415 + 21.2310i 0.382354 + 0.923085i
\(530\) −25.3900 11.7619i −1.10287 0.510904i
\(531\) −1.82701 36.5640i −0.0792856 1.58674i
\(532\) −7.19473 + 4.97501i −0.311931 + 0.215694i
\(533\) 3.72591 3.05778i 0.161387 0.132447i
\(534\) −17.6750 24.6548i −0.764874 1.06692i
\(535\) −34.8533 23.2883i −1.50684 1.00684i
\(536\) −16.5529 26.1769i −0.714978 1.13067i
\(537\) −5.03810 13.0445i −0.217410 0.562911i
\(538\) 20.9237 + 27.7475i 0.902084 + 1.19628i
\(539\) 1.59987 2.99315i 0.0689114 0.128924i
\(540\) −15.9311 + 26.1419i −0.685566 + 1.12497i
\(541\) −4.50130 + 0.443339i −0.193526 + 0.0190606i −0.194316 0.980939i \(-0.562249\pi\)
0.000789779 1.00000i \(0.499749\pi\)
\(542\) 25.1404 15.3422i 1.07987 0.659004i
\(543\) −9.30739 + 5.89931i −0.399418 + 0.253164i
\(544\) 12.2857 + 30.4536i 0.526744 + 1.30569i
\(545\) 12.2468 + 12.2468i 0.524594 + 0.524594i
\(546\) −5.68346 2.80131i −0.243229 0.119885i
\(547\) 15.2064 1.49770i 0.650178 0.0640370i 0.232449 0.972609i \(-0.425326\pi\)
0.417729 + 0.908572i \(0.362826\pi\)
\(548\) −21.1738 38.1387i −0.904500 1.62921i
\(549\) 20.8077 + 28.0068i 0.888050 + 1.19530i
\(550\) 2.69797 + 0.378260i 0.115042 + 0.0161290i
\(551\) 25.1169 + 37.5901i 1.07002 + 1.60139i
\(552\) 0.167559 0.668312i 0.00713180 0.0284453i
\(553\) −0.984588 0.657881i −0.0418689 0.0279759i
\(554\) 19.9691 1.14059i 0.848408 0.0484591i
\(555\) 29.6890 14.9598i 1.26023 0.635008i
\(556\) 4.26663 + 19.7957i 0.180945 + 0.839523i
\(557\) 11.7833 + 22.0450i 0.499274 + 0.934076i 0.997742 + 0.0671677i \(0.0213963\pi\)
−0.498468 + 0.866908i \(0.666104\pi\)
\(558\) 7.91970 + 0.709657i 0.335268 + 0.0300422i
\(559\) −6.57237 15.8671i −0.277982 0.671107i
\(560\) 5.60040 + 6.39702i 0.236660 + 0.270323i
\(561\) 4.30720 + 3.03077i 0.181850 + 0.127959i
\(562\) 9.35603 + 0.384928i 0.394660 + 0.0162372i
\(563\) 4.26075 14.0458i 0.179569 0.591961i −0.820232 0.572031i \(-0.806156\pi\)
0.999801 0.0199297i \(-0.00634424\pi\)
\(564\) 8.12867 + 1.68620i 0.342279 + 0.0710016i
\(565\) −28.2664 2.78399i −1.18918 0.117124i
\(566\) 32.9233 15.8938i 1.38387 0.668067i
\(567\) −4.11128 + 5.02677i −0.172657 + 0.211105i
\(568\) −3.43662 + 6.05746i −0.144197 + 0.254165i
\(569\) −4.50499 0.896099i −0.188859 0.0375664i 0.0997544 0.995012i \(-0.468194\pi\)
−0.288614 + 0.957446i \(0.593194\pi\)
\(570\) 31.9289 + 29.8923i 1.33735 + 1.25205i
\(571\) 2.32045 + 7.64949i 0.0971077 + 0.320121i 0.992013 0.126135i \(-0.0402571\pi\)
−0.894905 + 0.446256i \(0.852757\pi\)
\(572\) 3.74303 + 0.308516i 0.156504 + 0.0128997i
\(573\) −22.7625 29.1423i −0.950919 1.21744i
\(574\) −1.35543 + 0.212110i −0.0565744 + 0.00885329i
\(575\) 0.517243i 0.0215705i
\(576\) 18.5589 15.2173i 0.773289 0.634054i
\(577\) 4.97055i 0.206927i 0.994633 + 0.103463i \(0.0329924\pi\)
−0.994633 + 0.103463i \(0.967008\pi\)
\(578\) 3.65115 + 23.3316i 0.151868 + 0.970467i
\(579\) −2.91777 3.73554i −0.121258 0.155244i
\(580\) 33.5192 28.4144i 1.39181 1.17984i
\(581\) 0.0565745 + 0.186501i 0.00234711 + 0.00773737i
\(582\) 28.6440 30.5955i 1.18733 1.26823i
\(583\) 3.45064 + 0.686376i 0.142911 + 0.0284268i
\(584\) 33.1171 + 4.10608i 1.37040 + 0.169911i
\(585\) −7.67249 + 30.7397i −0.317218 + 1.27093i
\(586\) −18.9816 39.3195i −0.784122 1.62427i
\(587\) −19.3250 1.90334i −0.797627 0.0785594i −0.309011 0.951058i \(-0.599998\pi\)
−0.488616 + 0.872499i \(0.662498\pi\)
\(588\) −12.3167 18.7640i −0.507931 0.773813i
\(589\) 3.29770 10.8711i 0.135880 0.447935i
\(590\) −2.08984 + 50.7955i −0.0860373 + 2.09122i
\(591\) 6.74469 + 4.74592i 0.277439 + 0.195221i
\(592\) −25.8428 + 3.37989i −1.06213 + 0.138912i
\(593\) 6.87928 + 16.6080i 0.282498 + 0.682011i 0.999893 0.0146564i \(-0.00466543\pi\)
−0.717394 + 0.696667i \(0.754665\pi\)
\(594\) 1.17363 3.66585i 0.0481547 0.150411i
\(595\) 5.81650 + 10.8819i 0.238453 + 0.446114i
\(596\) 28.6128 + 18.4658i 1.17203 + 0.756388i
\(597\) 21.3780 10.7720i 0.874944 0.440870i
\(598\) −0.0406619 0.711897i −0.00166279 0.0291116i
\(599\) 8.41144 + 5.62034i 0.343682 + 0.229641i 0.715417 0.698698i \(-0.246237\pi\)
−0.371735 + 0.928339i \(0.621237\pi\)
\(600\) 10.7360 14.4692i 0.438296 0.590703i
\(601\) 1.36742 + 2.04648i 0.0557780 + 0.0834777i 0.858310 0.513131i \(-0.171514\pi\)
−0.802532 + 0.596609i \(0.796514\pi\)
\(602\) −0.678721 + 4.84103i −0.0276626 + 0.197306i
\(603\) −26.3691 + 19.5909i −1.07383 + 0.797805i
\(604\) 11.0543 38.6479i 0.449792 1.57256i
\(605\) 31.4435 3.09691i 1.27836 0.125907i
\(606\) 8.71753 17.6866i 0.354125 0.718469i
\(607\) −4.18460 4.18460i −0.169848 0.169848i 0.617065 0.786912i \(-0.288322\pi\)
−0.786912 + 0.617065i \(0.788322\pi\)
\(608\) −15.8834 30.3882i −0.644156 1.23241i
\(609\) 7.87299 4.99014i 0.319030 0.202211i
\(610\) −25.2392 41.3580i −1.02190 1.67454i
\(611\) 8.55024 0.842125i 0.345906 0.0340687i
\(612\) 31.2320 15.4180i 1.26248 0.623235i
\(613\) −5.50142 + 10.2924i −0.222200 + 0.415708i −0.968178 0.250264i \(-0.919483\pi\)
0.745977 + 0.665971i \(0.231983\pi\)
\(614\) −5.78677 + 4.36366i −0.233535 + 0.176103i
\(615\) 2.47151 + 6.39915i 0.0996607 + 0.258038i
\(616\) −0.873601 0.616094i −0.0351984 0.0248231i
\(617\) −8.10267 5.41403i −0.326201 0.217961i 0.381676 0.924296i \(-0.375347\pi\)
−0.707877 + 0.706336i \(0.750347\pi\)
\(618\) −9.46158 + 6.78303i −0.380600 + 0.272853i
\(619\) −33.7760 + 27.7193i −1.35757 + 1.11413i −0.375253 + 0.926922i \(0.622444\pi\)
−0.982320 + 0.187209i \(0.940056\pi\)
\(620\) −10.8627 1.98131i −0.436255 0.0795712i
\(621\) −0.720190 0.124032i −0.0289002 0.00497722i
\(622\) 5.81248 12.5472i 0.233059 0.503096i
\(623\) 3.41968 + 8.25583i 0.137006 + 0.330763i
\(624\) 13.6389 20.7584i 0.545991 0.831002i
\(625\) −11.4280 + 27.5897i −0.457122 + 1.10359i
\(626\) 6.13541 + 6.66192i 0.245220 + 0.266264i
\(627\) −4.78598 2.70857i −0.191134 0.108170i
\(628\) 9.32710 + 21.5401i 0.372192 + 0.859545i
\(629\) −37.6421 3.70742i −1.50089 0.147824i
\(630\) 6.32020 6.43251i 0.251803 0.256277i
\(631\) −25.6842 + 5.10890i −1.02247 + 0.203382i −0.677726 0.735315i \(-0.737034\pi\)
−0.344744 + 0.938697i \(0.612034\pi\)
\(632\) 3.03416 3.51289i 0.120692 0.139735i
\(633\) 36.2107 + 16.0329i 1.43924 + 0.637251i
\(634\) −1.36954 + 0.354674i −0.0543915 + 0.0140859i
\(635\) 15.3110 + 50.4736i 0.607598 + 2.00298i
\(636\) 14.9075 17.8646i 0.591123 0.708378i
\(637\) −17.9562 14.7363i −0.711452 0.583874i
\(638\) −3.25575 + 4.46378i −0.128897 + 0.176723i
\(639\) 6.68031 + 3.15270i 0.264269 + 0.124719i
\(640\) −27.5867 + 18.7010i −1.09046 + 0.739222i
\(641\) 34.6737i 1.36953i 0.728765 + 0.684764i \(0.240095\pi\)
−0.728765 + 0.684764i \(0.759905\pi\)
\(642\) 26.2009 22.9872i 1.03407 0.907231i
\(643\) −15.5428 + 18.9389i −0.612947 + 0.746878i −0.983296 0.182015i \(-0.941738\pi\)
0.370349 + 0.928893i \(0.379238\pi\)
\(644\) −0.0928092 + 0.180495i −0.00365720 + 0.00711250i
\(645\) 24.3757 1.80834i 0.959793 0.0712033i
\(646\) −12.4755 48.1731i −0.490842 1.89534i
\(647\) 3.61010 + 0.718094i 0.141928 + 0.0282312i 0.265543 0.964099i \(-0.414449\pi\)
−0.123615 + 0.992330i \(0.539449\pi\)
\(648\) −17.5720 18.4181i −0.690292 0.723531i
\(649\) −1.24703 6.26922i −0.0489501 0.246089i
\(650\) 6.14169 17.6059i 0.240897 0.690560i
\(651\) −2.22435 0.733790i −0.0871790 0.0287595i
\(652\) 11.4893 + 26.5336i 0.449957 + 1.03914i
\(653\) −11.0559 + 36.4466i −0.432653 + 1.42626i 0.421778 + 0.906699i \(0.361406\pi\)
−0.854431 + 0.519565i \(0.826094\pi\)
\(654\) −12.4706 + 7.20335i −0.487640 + 0.281673i
\(655\) 2.50473 + 1.03750i 0.0978681 + 0.0405383i
\(656\) −0.171381 5.37513i −0.00669132 0.209864i
\(657\) 1.70710 35.3538i 0.0666003 1.37928i
\(658\) −2.21891 1.02791i −0.0865022 0.0400722i
\(659\) −23.3000 43.5913i −0.907640 1.69807i −0.692401 0.721513i \(-0.743447\pi\)
−0.215239 0.976561i \(-0.569053\pi\)
\(660\) −2.08587 + 4.92137i −0.0811923 + 0.191564i
\(661\) 29.1970 + 35.5766i 1.13563 + 1.38377i 0.912548 + 0.408971i \(0.134112\pi\)
0.223083 + 0.974799i \(0.428388\pi\)
\(662\) −21.9772 19.6023i −0.854168 0.761864i
\(663\) 26.0962 24.8666i 1.01349 0.965737i
\(664\) −0.752807 + 0.130129i −0.0292146 + 0.00504999i
\(665\) −7.15790 10.7125i −0.277571 0.415415i
\(666\) 5.63162 + 27.0642i 0.218221 + 1.04872i
\(667\) 0.925103 + 0.494478i 0.0358202 + 0.0191463i
\(668\) 19.3307 24.3353i 0.747929 0.941560i
\(669\) −15.8592 1.94929i −0.613151 0.0753640i
\(670\) 38.9396 23.7633i 1.50437 0.918057i
\(671\) 4.30760 + 4.30760i 0.166293 + 0.166293i
\(672\) −6.34263 + 3.12275i −0.244672 + 0.120463i
\(673\) 3.20382 3.20382i 0.123498 0.123498i −0.642656 0.766155i \(-0.722168\pi\)
0.766155 + 0.642656i \(0.222168\pi\)
\(674\) −4.39654 + 18.1649i −0.169349 + 0.699685i
\(675\) −16.1581 10.2036i −0.621927 0.392736i
\(676\) −0.0810098 + 0.283226i −0.00311576 + 0.0108933i
\(677\) −0.256084 + 0.479099i −0.00984211 + 0.0184133i −0.886794 0.462164i \(-0.847073\pi\)
0.876952 + 0.480578i \(0.159573\pi\)
\(678\) 8.31479 22.1057i 0.319327 0.848964i
\(679\) −10.2652 + 6.85899i −0.393942 + 0.263224i
\(680\) −45.1378 + 17.3785i −1.73096 + 0.666434i
\(681\) −9.81072 + 9.34843i −0.375948 + 0.358233i
\(682\) 1.38606 0.0791688i 0.0530751 0.00303153i
\(683\) 27.9813 22.9637i 1.07067 0.878680i 0.0776965 0.996977i \(-0.475243\pi\)
0.992978 + 0.118297i \(0.0377435\pi\)
\(684\) −30.8766 + 19.2180i −1.18060 + 0.734817i
\(685\) 56.6644 30.2878i 2.16504 1.15724i
\(686\) 4.73684 + 12.9133i 0.180854 + 0.493031i
\(687\) −7.48288 43.0178i −0.285490 1.64123i
\(688\) −18.5050 4.97530i −0.705497 0.189682i
\(689\) 9.21504 22.2471i 0.351065 0.847546i
\(690\) 0.980300 + 0.262454i 0.0373194 + 0.00999144i
\(691\) −16.3533 4.96071i −0.622108 0.188714i −0.0365328 0.999332i \(-0.511631\pi\)
−0.585575 + 0.810618i \(0.699131\pi\)
\(692\) −3.93389 + 4.06131i −0.149544 + 0.154388i
\(693\) −0.582095 + 0.973016i −0.0221120 + 0.0369618i
\(694\) 15.3616 7.41587i 0.583120 0.281503i
\(695\) −29.2535 + 5.81888i −1.10965 + 0.220723i
\(696\) 15.6151 + 33.0341i 0.591889 + 1.25215i
\(697\) 1.52262 7.65474i 0.0576734 0.289944i
\(698\) 18.9866 + 11.1755i 0.718653 + 0.422997i
\(699\) 11.0842 0.822290i 0.419241 0.0311018i
\(700\) −4.04845 + 3.43189i −0.153017 + 0.129713i
\(701\) 3.19500 + 2.62207i 0.120673 + 0.0990341i 0.692795 0.721135i \(-0.256379\pi\)
−0.572121 + 0.820169i \(0.693879\pi\)
\(702\) −23.0411 12.7732i −0.869629 0.482095i
\(703\) 39.4949 1.48958
\(704\) 2.81807 3.10129i 0.106210 0.116884i
\(705\) −2.67408 + 11.9316i −0.100712 + 0.449371i
\(706\) 3.94862 + 25.2325i 0.148608 + 0.949637i
\(707\) −3.68483 + 4.48997i −0.138582 + 0.168863i
\(708\) −40.3510 12.6020i −1.51648 0.473614i
\(709\) 36.7214 11.1393i 1.37910 0.418346i 0.488276 0.872689i \(-0.337626\pi\)
0.890827 + 0.454343i \(0.150126\pi\)
\(710\) −8.84024 5.20334i −0.331768 0.195278i
\(711\) −3.95697 2.92955i −0.148398 0.109867i
\(712\) −33.7659 + 9.32107i −1.26543 + 0.349322i
\(713\) −0.0514230 0.258521i −0.00192580 0.00968167i
\(714\) −9.99149 + 2.33186i −0.373922 + 0.0872678i
\(715\) −0.542212 + 5.50517i −0.0202776 + 0.205882i
\(716\) −16.1448 + 0.257316i −0.603360 + 0.00961636i
\(717\) −30.0663 17.0157i −1.12285 0.635464i
\(718\) −1.62337 + 39.4575i −0.0605836 + 1.47254i
\(719\) 14.6158 + 6.05404i 0.545076 + 0.225778i 0.638192 0.769878i \(-0.279683\pi\)
−0.0931159 + 0.995655i \(0.529683\pi\)
\(720\) 21.9751 + 27.6892i 0.818964 + 1.03191i
\(721\) 3.16828 1.31234i 0.117993 0.0488742i
\(722\) 8.64061 + 23.5555i 0.321570 + 0.876643i
\(723\) −2.55191 9.20639i −0.0949065 0.342389i
\(724\) 2.68093 + 12.4386i 0.0996361 + 0.462276i
\(725\) 17.4016 + 21.2039i 0.646280 + 0.787494i
\(726\) −4.27429 + 25.9223i −0.158634 + 0.962067i
\(727\) −13.9806 + 20.9235i −0.518512 + 0.776008i −0.994643 0.103366i \(-0.967039\pi\)
0.476131 + 0.879374i \(0.342039\pi\)
\(728\) −5.30222 + 5.04168i −0.196513 + 0.186857i
\(729\) −18.0817 + 20.0512i −0.669693 + 0.742638i
\(730\) −6.82441 + 48.6757i −0.252583 + 1.80157i
\(731\) −24.5257 13.1093i −0.907116 0.484864i
\(732\) 38.6476 11.3789i 1.42846 0.420577i
\(733\) 3.30388 + 33.5449i 0.122032 + 1.23901i 0.839866 + 0.542794i \(0.182634\pi\)
−0.717834 + 0.696214i \(0.754866\pi\)
\(734\) −2.98827 + 12.3464i −0.110299 + 0.455715i
\(735\) 27.9231 17.6985i 1.02996 0.652819i
\(736\) −0.657390 0.448101i −0.0242317 0.0165172i
\(737\) −4.05572 + 4.05572i −0.149394 + 0.149394i
\(738\) −5.67148 + 0.609070i −0.208770 + 0.0224202i
\(739\) −1.29278 13.1258i −0.0475556 0.482840i −0.989236 0.146331i \(-0.953254\pi\)
0.941680 0.336509i \(-0.109246\pi\)
\(740\) −4.37102 38.1384i −0.160682 1.40200i
\(741\) −24.5727 + 28.5108i −0.902701 + 1.04737i
\(742\) −5.47242 + 4.12662i −0.200899 + 0.151493i
\(743\) 4.96866 3.31995i 0.182282 0.121797i −0.461081 0.887358i \(-0.652538\pi\)
0.643364 + 0.765561i \(0.277538\pi\)
\(744\) 3.92743 8.29914i 0.143987 0.304261i
\(745\) −27.8664 + 41.7051i −1.02095 + 1.52796i
\(746\) 2.44080 + 2.17704i 0.0893641 + 0.0797072i
\(747\) 0.197549 + 0.785865i 0.00722795 + 0.0287533i
\(748\) 5.00201 3.45879i 0.182892 0.126466i
\(749\) −9.05501 + 4.84000i −0.330863 + 0.176850i
\(750\) −7.57056 5.80661i −0.276438 0.212027i
\(751\) −32.1836 + 13.3309i −1.17440 + 0.486452i −0.882644 0.470042i \(-0.844239\pi\)
−0.291754 + 0.956493i \(0.594239\pi\)
\(752\) 5.06899 8.13613i 0.184847 0.296694i
\(753\) 20.1524 + 14.1803i 0.734393 + 0.516757i
\(754\) 25.6173 + 27.8156i 0.932926 + 1.01298i
\(755\) 56.6578 + 17.1869i 2.06199 + 0.625497i
\(756\) 3.80765 + 6.45987i 0.138483 + 0.234943i
\(757\) 1.04206 10.5803i 0.0378745 0.384546i −0.957497 0.288443i \(-0.906862\pi\)
0.995371 0.0961026i \(-0.0306377\pi\)
\(758\) −17.6530 + 50.6046i −0.641187 + 1.83804i
\(759\) −0.127559 0.00307789i −0.00463011 0.000111720i
\(760\) 45.1260 22.6784i 1.63689 0.822632i
\(761\) 5.44809 27.3894i 0.197493 0.992864i −0.747123 0.664686i \(-0.768565\pi\)
0.944616 0.328178i \(-0.106435\pi\)
\(762\) −43.8345 + 1.44405i −1.58796 + 0.0523124i
\(763\) 4.05960 1.23146i 0.146967 0.0445820i
\(764\) −40.6577 + 13.0445i −1.47095 + 0.471932i
\(765\) 21.9732 + 46.3578i 0.794442 + 1.67607i
\(766\) 28.9973 39.7566i 1.04772 1.43646i
\(767\) −43.7493 −1.57970
\(768\) −9.08878 26.1800i −0.327963 0.944691i
\(769\) −23.3480 −0.841949 −0.420975 0.907072i \(-0.638312\pi\)
−0.420975 + 0.907072i \(0.638312\pi\)
\(770\) 0.927836 1.27210i 0.0334369 0.0458434i
\(771\) 4.71945 + 6.04219i 0.169967 + 0.217604i
\(772\) −5.21163 + 1.67208i −0.187571 + 0.0601793i
\(773\) 26.2697 7.96883i